What is 1/4 of 36500000 in scientific notation

Answer:

\(T_{3}, _{-2} (x,y)\)

Answer:

T3, –2(x, y)

Step-by-step explanation:

I took the test lol

Answer:

Assuming angle N = 90°

a) ∠m = 48°

b) n = 20.18

c) k = 13.5

Step-by-step explanation:

a) ∠m = 180° - 90° - 42° = 48°  because the sum of all three interior angles of a triangle equals 180°

b) cos 42 = 15/n

0.7431 = 15/n

n = 20.18

c) tan 42 = k/15

0.9004 = k/15

k = 13.5

Answer:

4m + 8n -4p

Step-by-step explanation:

Im pretty sure its that. Hope its right!

Answer: $0.576

Step-by-step explanation:

The total amount in prizes is $1800.

For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).

Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Answer:

0 students love the museum

Step-by-step explanation:

since the percentage of students that love the museum is zero, no matter how many students went, the number of people who like the museum will always be 0

now if 100 students went and 32% loved the field trip, then you would take 32% of the amount of students who went, to find the exact number of students who liked the field trip

32% of 100 is 32, so in my example, 32 people loved the museum

Answer:

Step-by-step explanation:

23 x .565 = 12.995

12.995 rounded is 13.

So if the answer is .565, and you need to round to the nearest percent, it would be 57%.

Answer:

Step-by-step explanation:

1) Decreased students = 23 -13 = 10

Decreased percentage = \(\frac{10}{23}*100\)

                                       \(= \frac{1000}{23}\\\\= 43.47\)

                                       = 43%

2) Increased amount = 81 - 68 = $ 13

Increased percentage = \(\frac{13}{68}*100\)

                                     \(= \frac{1300}{68}\\\\= 19.11\)

                                    = 19%

Therefore, it is not even chance, but it is also not very unlikely. It is moderately likely that a yellow marble will be selected on the first draw.

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It is a measure of the likelihood or chance of an event happening. Probability is expressed as a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.

In other words, probability is a way of quantifying uncertainty. It is used in various fields, such as statistics, physics, finance, engineering, and more, to help make predictions and decisions based on uncertain information. Probability theory provides a set of rules and tools for analyzing and manipulating random variables and events, and for calculating the probability of complex events.

The likelihood of a yellow marble being selected on the first draw can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag:

likelihood of selecting a yellow marble = number of yellow marbles / total number of marbles

So, in this case, the likelihood of selecting a yellow marble on the first draw is:

likelihood of selecting a yellow marble = 2 / (3 + 2 + 1) = 2/6 = 1/3

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Answer:

195

Step-by-step explanation:

Answer:

As per Given Information

→ Height = 13

→ Width = 2

→ Length = 7.5

we have to find the volume of cereal .

Volume of Cereal = Height ×Width×Length

On substituting the value we obtain

➺ Volume of Cereal = 13×2×7.5

➺ Volume of Cereal = 26 × 7.5

➺ Volume of Cereal = 195 unit cube

So, the volume of cereal is 195 unit cube .

Step-by-step explanation:

Sale price

= Marked down by 10% from selling price

= 90% of selling price

= 0.9 * $600

= $540.

Sale price - Cost price

= $540 - $450 = $90.

The markup from cost to sale is $90.

The markup from cost to sale price will be $90.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The selling cost of a thing is $600. It is discounted by 10%, however, this deal cost is as yet increased from the expense of $450.

The sale price is given as,

Sale price = 0.90 x $600

Sale price = $540

The markup cost to sale will be given as,

⇒ $540 - $450

⇒ $90

The markup from cost to sale price will be $90.

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Answer:

Hundredth

Step-by-step explanation:

The value of 9 in the number 36.19 is a hundredth

Answer:

B

Step-by-step explanation:

Answer:b

On edge.

Step-by-step explanation:

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

Step-by-step explanation:

The value of x in the right triangle is 4 units.

The side x of the right triangle can be found using trigonometric ratios.

Therefore,

sin 30° = opposite / hypotenuse

sin 30 = x / 8

1 / 2 = x  /8

cross multiply

8 = 2x

divide both sides by 2

8 / 2 = 2x / 2

x = 4

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Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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Answer:  See the flowchart proof below.

Explanation:

The given info is indicated by the marked angles. We also use the reflexive property to say that BG = BG. After that we use the ASA (angle side angle) property to prove the triangles are congruent. The triangles are mirrored clones of one another. The mirror line is segment BG.

A flowchart proof that proves that the two triangles are congruent is shown in the image below.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

In this context, we can prove that triangle BIG is congruent with triangle BAG by completing the two-column proof shown above with the following reasons:

Statements                                Reasons

∠IBG ≅ ∠ABG                              Given

∠IGB ≅ ∠AGB                              Given

BG ≅ BG                               Reflexive property

ΔBIG ≅ ΔBAG                       ASA Congruence

Based on the angle, side, angle (ASA) similarity theorem, we can logically deduce that triangle BIG and triangle BAG are both congruent.

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Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)

The height of the roof is 21 inches.

Any triangle with any two sides that have the same length is known as an isosceles triangle. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. In other terms, an isosceles triangle is a triangle with two congurrent sides.  

Here we have,

Tony is building a doghouse, and the front view of the roof is an isosceles triangle.  

As we consider, the front view as an isosceles triangle

Side of the triangle = 29 inches

Base of the triangle = 40 inches

When we draw a line along the height of the triangle, it will divide the base equally and forms two right-angle triangles.

Let 'x' be the height of the triangle  

If we apply the Pythagorean theorem,

=> 29² = 20² + x²  

=> 841 = 400 + x²

=> x² = 441

=> x² = (21)²    

Hight of the triangle = 21

Therefore,

The height of the roof is 21 inches.

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Problem 1, part (a)

t = number of years

A = value of the necklace after t years

3.2% = 3.2/100 = 0.032

If the necklace starts off being $1, then after t years, it will have this value

A = 1*(1 + 0.032)^t

A = 1.032^t

You were close, but forgot about the exponent t

------------------------------------

Problem 1, part (b)

Since t represents the number of years, this means 12t represents the number of months, because there are 12 months in a year.

The annual growth rate is 3.2%, which converts to 0.032

Divide this over 12 and we get the approximate value 0.032/12 = 0.00267

So we get this new equivalent function

A = 1*(1+0.00267)^(12t)

A = 1.00267^(12t)

=========================================================

Problem 2, part (a)

t = number of years

12t = number of months

The ring's value goes at a rate of 0.33% per month, which converts to the decimal form 0.0033

The value of the ring is

B = 1*(1 + 0.0033)^(12t)

B = 1.0033^(12t)

------------------------------------

Problem 2, part (b)

We'll take the reverse approach in what we did with part (b) of the previous problem. There we divided by 12 to go from an annual rate to a monthly rate.

We'll multiply by 12 to go from the monthly growth rate to the annual growth rate.

The monthly growth rate of 0.33% turns into the annual growth rate of 12*0.33% = 3.96%, and that turns into the decimal form 0.0396

So,

B = 1*(1+0.0396)^t

B = 1.0396^t

represents the value of the ring after t years.

Answer:

H

Step-by-step explanation:

given y = -x² + 3x.

let f(x) be y.

f(-2) = -(-2)² + 3(-2) = -10

f(-1) = -(-1)² + 3(-1) = -4

f(0) = -(0)² + 3(0) = 0

f(1) = -(1)² + 3(1) = 2

f(2) = -(2)² + 3(2) = 2

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is the second option

Step-by-step explanation:

  Let  D be the event that a resident has a dog

   Let C be the event that a resident has a cat

Generally according to  Bayes rule the probability that a resident has no dog give that he/she has one cat is mathematically represented as

       \(P(D' | C) = \frac{P ( D' \ n \ C)}{ P( C )}\)

Here \(P(D' \ n \ C )\) is the probability that a resident has one cat and no dog and from the table the value is

         \(P(D' \ n \ C ) = 0.2\)

and  \(P(C)\) is the probability of having one cat which is mathematically evaluated as

          \(P(C) = P(C \ n \ D') + P(C \ n \ D) + P(C \ n \ 2D) + P(C \ n \ 3D)\)

From the table  

  P(C \ n \ D') = 0.2

  P(C \ n \ D) = 0.05

   P(C \ n \  2D) = 0.04

   P(C \ n \  3D) = 0.06

      \(P(C) = 0.2 + 0.05 + 0.04 + 0.06\)

=>   \(P(C) = 0.35\)

So

     \(P(D' | C) = \frac{0.2}{ 0.35}\)

=>  \(P(D' | C) = \frac{4}{7}\)

Answer:

(-6,0)

Step-by-step explanation:

An equation of a line can be modeled as y = mx + b where m is slope and b is y-intercept.

For the line r, we can model the equation as y = mx + 3 since the line intersects y-axis at (0,3) as seen in the attachment.

For the line t, we can model the equation as y = mx - 6 as the problem gives y-intercept for line t equal to -6. Hence, the line t intersects y-axis at (0,6)

Next, we have to find the slope of line t by finding the slope of line r in the attachment. Apply the rise over run by counting the steps, you can see in the attachment that I put to learn how to count rise and run of a line. Also note that the value in attachment here is a scalar quantity, meaning only magnitude, no direction.

So we will have the slope of -1 since a line graph is heading down so the output decreases as input increases. Therefore, we know that m = -1 for both lines. Therefore, for the line t, we can model the new equation to:

\(\displaystyle{y=-x-6}\)

Then we find the x-intercept of the line by letting y = 0. Thus,

\(\displaystyle{0=-x-6}\\\\\displaystyle{x=-6}\)

Therefore, the x-intercept of line t is at (-6,0).

Answer:

(-6,0)

Step-by-step explanation:

We need to determine the equation of line r first to find the x-intercept of line t.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

\(slope = \frac{y_2 - y_1}{x_2 -x_1}\)

For line r passing through (3, 0) and (0, 3), the slope is:

\(slope = \frac{3 - 0}{0 - 3} = -1\)

Since line t has the same slope as line r, its slope is also -1.

The equation of a line in slope-intercept form (y = mx + b) is determined by its slope (m) and y-intercept (b).

We know that the slope (m) of line t is -1, and the y-intercept (b) is -6. Substituting these values into the slope-intercept form, we get:

y = -x - 6

To find the x-intercept, we set y = 0 and solve for x:

0 = -x - 6

Adding x to both sides:

x = -6

Therefore, the x-intercept of line t is (-6,0).

The First step Linear Expression shows is 5+3/x

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

so when this linear expression 5x + 3 is divided by  x then the first step will be

5 + 3/x

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