HELLLLPPPP!!!!!! PLZZ

HELLLLPPPP!!!!!! PLZZ

Answers

Answer 1

Answer:

Reflection over y-axis

A'(5,-1)

L'(3,-2)

T(3,2)

Translation

A''(8,1)

L''(6,0)

T''(6,4)


Related Questions

y=-1/2x+4 y=6

solve systems of equations using substitution method

BEST ANSWER GETS BRAINLY

Answers

Given y = 6
You can plug that in first equation
6 = -1/2x + 4
Subtract 4
2 = -1/2x
Multiply by 2
4 = -1x, x = -4

Solution: x = -4, y = 6

what is the difference between -15-9?

Answers

Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

Simplify the fraction completely.
40% =
40
100
2
[?]
Enter the number that goes in the
green box.

Answers

Answer:

5

Step-by-step explanation:

40% means 40 parts out of 100. If we have made the numerator of the fraction 2, we have divided 40 by 20. To make this fraction equal to 40/100, we have to divide 100 by 20 as well, giving us 5.

Step-by-step explanation:

40% means 40parts of 100. If we have made the numerator of the fraction 2 we have to divide 40/20. To make this fraction equal to 40/100, we have to divide 100/20 as well, giving us 5

Sundeep mixed 300 mL of water with 100 mL of sugar. She says "the total volume is
300 mL + 100 mL = 400 mL." Do you agree with Sundeep? Explain why or why not.

Answers

No, I don't agree with Sundeep. The mixture wont simply add up

How to show the volume will not be 400 ml

When two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.

When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.

The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.

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ASAPP PLEAASSEE!!!
Nathan deposits $940 every 2 months into his daughter's RESP. If the account earns 3.99% / annual, compound quarterly, how much will be in the account after 25 years?

Answers

There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (amount in the account after 25 years)

P = Principal amount (amount deposited every 2 months)

r = Annual interest rate (in decimal form)

n = Number of times the interest is compounded per year

t = Number of years

In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.

Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.

Now, we can substitute these values into the formula:

A = 940(1 + 0.0399/4)^(4*25)

Calculating the exponent first:

(1 + 0.0399/4)^(4*25) ≈ 2.703236

Now, substituting the calculated exponent and the number of deposits into the formula:

A = 940 * 2.703236 * 150 ≈ $594,311.34

Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.

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Hey can anyone help me understand how to graph this?

Hey can anyone help me understand how to graph this?

Answers

Answer:

Step-by-step explanation:

?

Consider a political discussion group consisting of 3 Democrats, 4 Republicans, and 8 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention. Find the probability of selecting an Independent and then a Republican.

Answers

The probability of selecting an Independent and then a Republican is 32/210

What is probability?

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

Here, we have

Given: Consider a political discussion group consisting of 3 Democrats, 4 Republicans, and 8 Independents. Suppose that two group members are randomly selected, in succession, to attend a political convention.

We have to find the probability of selecting an Independent and then a Republican.

Democrats = 3

Republicans = 4

Independents = 8

Total = 15

the probability of selecting an Independent and then a Republican = 8/15×4/14 = 32/210

Hence, the probability of selecting an Independent and then a Republican is 32/210

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please answer very ez but need halp
WILL GIVE BRAINLIEST

please answer very ez but need halp WILL GIVE BRAINLIEST

Answers

Find the area of the triangles, multiply that value by 4. Then add that sum to the surface area of the base. The total surface area is equal to 28.
please answer very ez but need halp WILL GIVE BRAINLIEST

Answer:

28 cm²

Step-by-step explanation:

We are asked to find the surface area of the given square pyramid. To do this we can find the sum of the areas of each of the faces of the square pyramid, including the base.

Since this is a square pyramid, we know that each of the triangle faces of the pyramid have the same area, being the congruent triangles, and that there are 4 triangle faces.

Since this is a square pyramid, we know that the base of the pyramid is a square.

So to find the surface area we can multiply the area of one of the triangle faces by 4 and add it to the area of the square base. In other words:

(4 × area of triangle face) + area of square base = surface area

Lets start with finding the area of the square base. we are given that the side length of the base is 2 cm. Remember, the area of a square is:

s × s

or

where s is the side length of the square.

Lets plug in 2 for s:

2 × 2 = 4

or

2² = 4

So the area of the square base is 4 cm².

Now lets find the area of the triangle side.

Remember, the area of a triangle is:

\(\frac{1}{2}(b*h)\)

where b is the length of the base (not to be confused with the base of the pyramid) and h is the height.

We are given that the height of the pyramid is 6 cm and the base is 2 cm. Lets plug in 6 for h and 2 for b:

\(\frac{1}{2}(6*2)=\frac{1}{2}*12=6\)

So the area of a triangle side of the pyramid is 6 cm².

Now lets find the surface area. To do this we can multiply the area of a triangle side of the pyramid by 4 and add the area of the square base. Remember, the area of the square base was 4 cm² and the area of the triangle side was 6 cm².

(4 × 6) + 4 = 24 + 4 = 28

So the surface area would be 28 cm²

I hope this helps. Let me know if you have any questions. Happy studying.

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.


Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.


0.2 inches

4.5 inches

46.1 inches

414.7 inches

Answers

Answer:

4.5inches

Step-by-step explanation:

Given the volume of a prism expressed as:

V =lwh where:

l is the length

w is the width,

h is the height of the prism.

Given

V = 138.24in³

h = 9.6in

l = 3.2in

w = ?

Substitute the given values into the formula to get the width

138.24 =  9.6*3.2*w

138.24 = 30.72w

w = 138.24/30.72

w = 4.5in

Hence the width of the rectangular prism is 4.5inches

The width of the rectangular pyramid that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches is 4.5 inches.

Volume of a rectangular pyramid:v = lwh

where

l = length

w = width

h = height

v = 138.24 inches³

h = 9.6 inches

l = 3.2 inches

w  = ?

138.24 = 9.6 × 3.2 × w

138.24 = 30.72w

w = 138.24 / 30.72

w = 4.5 inches

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(-3.1)²×(2.6-5.3)+ 9.32​

Answers

9514 1404 393

Answer:

  -16.627

Step-by-step explanation:

It works well to use a calculator to evaluate this expression.

__

  = 9.61×(-2.7) +9.32 . . . . . . evaluate the difference first, then the square

  = -25.947 +9.32 . . . . . . . perform the multiplication

  = -16.627 . . . . . . . . . . . . finally, do the addition

(-3.1)(2.6-5.3)+ 9.32

Which one is the correct choice?

Which one is the correct choice?

Answers

Therefore, the correct response From these integral is option D   is.  

``` 10 + ∫₅¹  R(t) dt

What is an integral?

An integral is a mathematical construct in mathematics that can be used to represent an area or a generalization of an area. It computes volumes, areas, and their generalizations. Computing an integral is the process of integration.

Integration can be used, for instance, to determine the area under a curve connecting two points on a graph. The integral of the rate function R(t) with respect to time t can be used to describe how much water is present in a tank.

The following equation can be used to determine how much water is in the tank at time t = 5 if there are 10 gallons of water in the tank at time t = 1.

``` 10 + ∫₅¹  R(t) dt

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can somebody help me with this

can somebody help me with this

Answers

Answer:

\(y = -x^2+3x+4\)

Step-by-step explanation:

( -1, 0) , (0, 4) , (4, 0)

y = a(x − b)(x − c)

x-intercept = -1

x = -1

(x + 1) = 0

x-intercept = 4

x = 4

(x - 4) = 0

y = (x + 1)(x - 4)

4 = a(0 + 1)(0 - 4)

4 = a (1)(-4)

4 = -4a

a = -1

y = -1(x + 1)(x - 4)

\(y = -x^2+3x+4\)

Find the slope of the line passing through the points (-6, -3) and (4, -3).​

Answers

Answer:

m = 0

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the coordinates into the formula:

m = (-3 + 3)/(4 - 6)

m = 0/-2

m = 0

Carter shared his post with 10 friends, who each share with only 2 people each day. Carter shared his post with 10 friends, who each share with only 2 people each day.

write an exponential function to represent the spread of carters social media post. ​

Answers

The exponential function will be equal to y = 20ˣ.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

Which property could be used to show Δ Μ =ΔN?
M
N

Which property could be used to show =N?MN

Answers

The property that could be used to show that ΔM is congruent to ΔN, based on the details in the diagram is the Angle-Angle-Side (AAS) Congruence Postulate.

What is the Angle-Angle-Side (AAS) Congruence Postulate)?

The Angle-Angle-Side Congruence Postulate states that if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the two triangles are congruent.

The Angle-Angle-Side Congruence Postulate means that in two triangles, if it is possible to show that two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are equivalent in the two triangles, then we can conclude that the triangles are congruent.

The vertex angles of triangles M and N are congruent by the vertical angles theorem

The angle marked in triangle M is congruent to the angle marked in triangle N

The sides of the triangles M and N which is the non-included side to the above two congruent angles are marked as congruent.

Therefore, two angles and non-included side in triangle M are congruent two angles and the non-included side in triangle N, we can use the AAS Congruence Postulate to conclude that ΔM is congruent to ΔN.

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Sara started with 12 comic books in her collection. She collected the same number of comic books each month until she had 20 comic books in the 4th month. Ashton started with 2 comic books in his collection and continues to collect 3 comic books each month.

I NEED HELP PLEASE IM IN A TEST RN IF YOU GIVE ME THE CORRECT ANSWER I WILL GIVE U 70 PONITS

Answers

Sara and Ashton both have the same number of comic books after 10 months

How to determine when they both have the same number of books?

From the question, we have the following parameters that can be used in our computation:

Sara

Initial = 12 comic books

Books at the fourth month = 20

Ashton

Initial = 2 comic books

Books each month = 3

The equations can be represented as

Total number of books = Initial + Books each month * Number of months

Rewrite as

y = Initial + Books each month * x

For Ashton, the equation is

y = 2 + 3x

For Sara, we have

y = 12 + Books each month * Number of months

So, we have

20 = 12 + Books each month * 4

This gives

Books each month = 2

So, the equation is

y = 12 + 2x

Substitute y = 2 + 3x in y = 12 + 2x

2 + 3x = 12 + 2x

Evaluate the like terms

x = 10

This means that

Number of months = 10

Hence, the number of months is 10

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Complete question

Sara started with 12 comic books in her collection. She collected the same number of comic books each month until she had 20 comic books in the 4th month. Ashton started with 2 comic books in his collection and continues to collect 3 comic books each month.

Calculate when they both have the same number of books

Jenny and Lester are running the 100 meter dash. Jenny completes it in 15.2 seconds and Lester completed it in 15.7 seconds. What were their speeds and who won the race?

Answers

Jenny won the race as she finished the race much more quickly and has greater average speed than Lester.

\(\sf \boxed{\sf speed:\frac{distance}{time \ taken} }\)

Jenny: distance/time = 100/15.2 = 6.58 m/s = 6.6 m/s

Lester: distance/time = 100/15.7 = 6.37 m/s = 6.4 m/s

In which quadrants is cosine positive?
A. I and II
B. I and III
C. II and IV
D. I and IV

Answers

D. I and IV are the quadrants the cosine function is positive

To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.

The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.

Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.

Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.

Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.

It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.

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b is opposite _____?

b is opposite _____?

Answers

Answer:

Line AC, or choice (C)

Step-by-step explanation:

The opposite is always what is directly on the other side of a line if you were to draw one.

The opposite of ∠B is Line AC

The opposite of ∠C is Line AB

The opposite of ∠A is Line BC

~

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is m<2.

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE

Answers

Answer:

32

Step-by-step explanation:

because it 's a antiparallelogram so 3=2, 1=32

Classify the following triangle. Check all that apply.
A
I A. Equilateral
B. Right
C. Acute
I D. Isosceles
O E Obtuse
O F. Scalene

Classify the following triangle. Check all that apply.AI A. EquilateralB. RightC. AcuteI D. IsoscelesO

Answers

Answer:

A and C

Step-by-step explanation:

The triangle given has three equal sides and three equal angles.

Since the sum of a triangle = 180°, therefore, each angle equals 60°

Thus, we can conclude that the triangle is an acute triangle because an acute triangle has all three sides measuring less than 90°. This implies that all it's angles are acute angles.

Also, since all its sides are equal and the same as well as it's three angles, based on this, we can equally say the triangle is an equilateral triangle.

The triangle can be referred to as an acute triangle and also as an equilateral triangle.

Please help me on this

Please help me on this

Answers

Answer19/40=x/3.6

By cross multiplication

19*3.6=40*x

68.4 =40x

x=68.4/40

x=1.71

x=

Answer: C

Step-by-step explanation:

\(\frac{19}{40} = \frac{x}{3.6}\)     solve by cross product

40x = 68.4   Divide both sides by 40

x =  1.71

How many gallons of a 50​% antifreeze solution must be mixed with 70 gallons of ​10% antifreeze to get a mixture that is 40​% ​antifreeze?

Answers

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

SOLUTION:

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

The Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m

Answers

The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m

What is an equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.

The function will be:

F = 2.40 + (0.40 × m)

F = 2.40 + 0.40m

where m = number of miles

F = taxi fare.

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the square of a number is equal to 6 minus the number find all such numbers

Answers

The solutions to the equation \($x^2 = 6 - x$\) are \($x = -3$\) and \(x = 2$.\)

What is square of a number?

The square of a number is the result of multiplying the number by itself. In mathematical notation, the square of a number "\(x\)" is written as "\(x^2\)".

Let's call the number we are looking for "x".

According to the problem statement, we have:

\($$x^2 = 6 - x$$\)

We can rearrange this equation to get:

\($$x^2 + x - 6 = 0$$\)

Now, we can factor the left-hand side of this equation:

\($$(x + 3)(x - 2) = 0$$\)

So, either \($x + 3 = 0$\) or \(x - 2 = 0$.\) Solving for x in each case gives us:

\($$x = -3 \text{ or } x = 2$$\)

Therefore, the solutions to the equation \($x^2 = 6 - x$\) are \($x = -3$\) and \(x = 2$.\)

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What is $158,035.41 rounded to the nearest 10 dollars?

Answers

Answer:

$158,035.41 rounded to the nearest 10 dollars is $158,040

Step-by-step explanation:

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place. If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.

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Miss Hawaii

I will give you Brainiest if you are right.

I will give you Brainiest if you are right.

Answers

Answer:

30

Step-by-step explanation:

Answer:

answer: 35

Hope this helps!

The population of Mexico between 1921 and 2010 can be modeled as
p(t) = 8.028e^0.025t million people, where t is the number of years since 1900.†

(a) What was the population of Mexico in 2006? (Round your answer to three decimal places.)

____________ million people

How rapidly was the population of Mexico growing in 2006? (Round your answer to three decimal places.)
____________ million people per year

(b) Write a linearization of p in 2006. (Round all numerical values to three decimal places.)
pL(t) = ______________

(c) Use linearization to estimate the population of Mexico in 2011. (Round your answer to three decimal places.)
_______________ million people

Answers

By answering the above question, we may state that As a result, in 2006, equation Mexico's population was expanding at a pace of around 2.708 million people each year.

What is equation?

When two assertions are connected by a mathematical equation, the equals symbol (=) is used to denote equality. In algebra, a mathematical statement that establishes the equivalence of two mathematical expressions is referred to as an equation. In the equation 3x + 5 = 14, for instance, the equal sign places a space between the integers 3x + 5 and 14. To comprehend the connection between the two phrases written on the opposing sides of a letter, utilise a mathematical formula. Frequently, the logo and the specific piece of software are the same. as in, for instance, 2x - 4 = 2.

We must enter t = 2006 - 1900 = 106 into the population model and do the following calculations to get the population of Mexico in 2006:

p(106) = 8.028e (0.025 * 106) million individuals

108.191 million individuals, or p(106) (rounded to three decimal places)

Finding the derivative of the population model with respect to time t will allow us to determine how quickly Mexico's population was rising in 2006:

Each year, p'(t) = 0.025 * 8.028e(0.025t) million individuals.

We may then calculate the derivative at time t = 106 as follows:

P'(106) = 0.025 * 8.028e(0.025*106) million individuals annually P'(106) 2.708 million individuals annually (rounded to three decimal places)

As a result, in 2006, Mexico's population was expanding at a pace of around 2.708 million people each year.

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Solve for g.
s=4g + 4u

Answers

Answer:

\(\frac{s-4u}{4}\)

Step-by-step explanation:

\(s=4g+4u\)

Switch sides:

\(4g+4u=s\)

Subtract 4u from both sides:

\(4g+4u-4u=s-4u\)

\(4g=s-4u\)

Divide both sides by 4:

\(\frac{4g}{4}=\frac{s-4u}{4}\)

\(g=\frac{s-4u}{4}\)

Answer:

g= s/4-u

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

A survey of ninth grade students at a high school was conducted to determine the enrollment demand for three foreign language class offerings.
The table provides information on the enrollment selections.
Fill in the missing values of the frequency table below, and complete the statement.
Spanish French German Total
Boys
10
8
Girls
15
12
30
Total
25
14
11
50
It can be concluded that
% of the boys surveyed have enrolled in Spanish

A survey of ninth grade students at a high school was conducted to determine the enrollment demand for

Answers

Answer:

French = 0

Step-by-step explanation:

According to the graph, if 18 total boys, 10 in Spanish and 8 in German. 0 boys took french.

Answer:

2 french, 3 german, 20 total, 40%

Step-by-step explanation:

lmk if correct

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A ball is launched with a velocity of magnitude 10.0 m/s, at an angle of 50.0 to the horizontal.The launch point is at the base of a ramp of horizontal length d1 6.00 m and height d2 3.60 m. A plateau is located at the top of the ramp. Required:a. Does the ball land on the ramp or the plateau? When it lands. b. What are the magnitude and angle of its displacement from the launch point? describe the sequence of events that occur when making a call from a cell phone.In your description, refer to the following:How does your phone connect to the network?How does it find the nearest tower?How do your calls get charged?What type of channel allows voices from different users to be transmitted at the same time?What type of information is transmitted along with the dialled cell phone number?How is a call placed on hold?What happens when a call is terminated? How to solve and simplify to the smallest fraction The equations listed in Table 2.2 give position as a function of time, velocity as a function of time, and velocity as a function of position for an object moving in a straight line with constant acceleration. The quantity vxi appears in every equation. (b) Using a similar format, make a table of equations describing simple harmonic motion. Include equations giving acceleration as a function of time and acceleration as a function of position. State the equations in such a form that they apply equally to a block-spring system, to a pendulum, and to other vibrating systems. . Your two favorite activities are attending hockey games and reading books. Currently, the price of a book is $1, the price of attending a hockey game is $5, and you have $50 to spend on hockey or books. Your utility function is given as follows: U=3BH+6B a. Using the Lagrangian approach, find your optimal consumption bundle and determine your total level of utility. b. How much will your total utility rise if you receive a $1 raise? How would reducing the amount of crops grown affect the mechanization of agriculture during the 1930s? On December 10, you receive your bank statement showing a balance of $2,979.94. Your checkbook shows a balance of $2,778.88. Outstanding checks are $381.83 and $171.57. The account earned $126.83. Deposits in transit amount to $472.17, and there is a service charge of $7.00. Calculate the reconciled balance Group of answer choices How did King James 1 argue for the divine rights of kings During the Columbian Exchange slaves were imported (brought to) the Americas from the continent of?? help!!!!!!!!!!!!!!!!!!!!!!! Name two ways you could decrease the potential energy of a bucket full of water sitting 1. A particle moving with uniform acceleration in a straight line was first observed to be moving at 9m/s. After 20s, it was moving at 13.6m/s. Find its acceleration. 2. A train accelerates to a speed of 40m/s over a distance of 300m. Determine the acceleration (assume uniform) of the train. 3. A bus from at rest accelerates uniformly over a time of 6.50 seconds and covers a distance of 30m. Determine the acceleration of the bus. evaluate the iterated integral by converting to polar coordinates. infinity a 0 infinity 0 - underoot a2 - y2 6x2y dx dy Evaluate f(2) - f(-1) when f(x) = 6x - 1 Which of the following does NOT affect the amount of lift on an airplane's wing?A. gravityB. turbulenceC. wing surface areaD. the airplane's speed at a certain temperature, 0.367 mol ch4 and 0.603 mol h2o is placed in a 1.50 l container. ch4(g) 2h2o(g)co2(g) 4h2(g) at equilibrium, 6.95 g co2 is present. calculate c . Exercise 1 Fill in the blank with the letter of the word or phrase that best defines each italicized word in the above passage.______. nowadays a. soon c. rarely b. at the present time d. occasionally A cross section of Earth reveals a layered structure that has different thicknesses and densities. How do geologists know this kengrew 4/5 of an inch last year sang grew three eighths of an inch who grew more and by how much decide whether each expression is equal to 6 x 3/4. Write an X in the table to respond.