Select the correct answer from each drop-down menu. Complete the statements about these similar pyramids. Two square pyramids A and B. Pyramid A vertices are labeled EFGHI. Pyramid B vertices are labeled WXYZV. The side edge of the triangular face of pyramid A is labeled 15 meters and the side edge of the triangular face of pyramid B is labeled 5 meters. The ratio of the heights is . The ratio of the base areas is . The ratio of the volumes is .

To measure out exactly 1 gallon of water we need exactly six possible number of moves.

To measure out exactly 1 gallon of water using two jugs, one with a 3-gallon capacity and one with an 5-gallon capacity, you can follow some steps

Fill the 5-gallon jug with water completely. Pour the water from the 5-gallon jug into the 3-gallon jug, leaving 2 gallons of water in the 5-gallon jug.

Empty the 3-gallon jug completely. Pour the 2 gallons of water from the 5-gallon jug into the empty 3-gallon jug.

Fill the 5-gallon jug with water again. Pour water from the 5-gallon jug into the 3-gallon jug until it is full, which will leave exactly 1 gallon of water in the 5-gallon jug.

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The alien's total distance traveled are Total Distance Traveled: 19 kilometers.

Distance is the separation between two points or things. It can be measured in a number of different units, including feet, meters, kilometers, and others. In addition to physical distance, time between two sites can also be considered, including days, hours, and minutes. In physics, mathematics, and geography, distance is a crucial notion. Utilizing additional formulas or the Pythagorean theorem, one can determine distance. Distance can be used to gauge an object's speed, the length of a journey, or the size of an area.

Displacement = final point - initial point

= (5 - 0 )km

5 kilometers

Total Distance Traveled: 12 + 7 = 19 km

19 kilometers are of 12 kilometers to the crater and 7 kilometers back to the spaceship.

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Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

The average cost per item over the interval (1,000,1,010] is (C(1010) - C(1000)) / (1010 - 1000) = (10,000 + 5(1010) - 10,000 - 5(1000)) / 10 = $5.50.

The average cost per item over the interval [999.5, 1000] is (C(1000) - C(999.5)) / (1000 - 999.5) = (10,000 + 5(1000) - 10,000 - 5(999.5)) / 0.5 = $5.00.

The given function C(x) represents the cost in dollars to manufacture x items. To find the average cost per item over a given interval, we use the formula: (C(b) - C(a)) / (b - a), where a and b are the endpoints of the interval.

For the interval (1,000,1,010], we substitute a = 1000 and b = 1010 into the formula to obtain (C(1010) - C(1000)) / (1010 - 1000). Simplifying the expression using the given function C(x) yields ($10,000 + $5(1010) - $10,000 - $5(1000)) / 10 = $5.50 per item.

For the interval [999.5, 1000], we substitute a = 999.5 and b = 1000 into the formula to obtain (C(1000) - C(999.5)) / (1000 - 999.5). Simplifying the expression using the given function C(x) yields ($10,000 + $5(1000) - $10,000 - $5(999.5)) / 0.5 = $5.00 per item.

To find C'(1000), we differentiate the function C(x) with respect to x, which gives C'(x) = 5. The value of C'(1000) is therefore 5, rounded to 1 decimal place.

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Step-by-step explanation:

what is the problem ? you teacher gave you even the conversion rates in the question.

so, when 1 gallon = 3.79 liters, then how much is 4 gallons ?

4 gallons is 4 times 1 gallon. so, of course, we need to apply the same factor to the other side too.

4 gallons = 4×3.79 = 15.16 ≈ 15 liters

and e do the same for all the other table elements :

8 liters = 8×0.26 = 2.08 ≈ 2 gallons

12.5 liters = 12.5×0.26 = 3.25 ≈ 3 gallons

6 gallons = 6×3.79 = 22.74 liters ≈ 23 liters

Answer:

option no.1

option no. 4

option no. 5

hope it helped u

Answer:

option 1

option 4

option 5

Answer:

9 quarts of blue paint

Step-by-step explanation:

the ration is 3:2

2 times 3 is 6, so multiply the 3 from the blue paint to 3 as well

Answer:

4km

Step-by-step explanation:

Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.

He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.

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Using the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power, it can be seens that that the two expressions are equal to each other.

The properties of multiplication state that when multiplying two expressions with the same base, we can add their exponents together. This means that 3 to the fifth power x 3 to the third power is equal to 3 to the eighth power.

In mathematical notation, this looks like:

3^8 = 3^5 x 3^3

Using the properties of multiplication, we can add the exponents together:

3^8 = 3^(5+3)

Simplifying the exponent:

3^8 = 3^8

This shows that the two expressions are equal to each other. Therefore, we can conclude that 3 to the eighth power and 3 to the fifth power x 3 to the third power are the same value.

Note: The question is incomplete. The complete question probably is: Use the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power.

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Answer:

10^-5

10^-5 = 1/100,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{1}{100000}=\frac{1}{10^{5}}=10^{-5}\\\\\\\frac{1}{a^{m}}=a^{-m}\)

Comparing the two slopes, we can see that the slope of function 1 (1/3) is less than the slope of function 2 (3/4). Therefore, it has  greater slope.

what is  slopes?

In mathematics, a slope is measure of the steepness of a line or a curve. It is defined as ratio of change in the y-coordinate to the change in the x-coordinate between two points on  line or curve.

what is   function ?

In computer programming, a function is a block of organized, reusable code that performs a specific task. A function takes input (arguments) and produces output, often modifying some internal state or performing some computation based on the input

In the given question,

To compare the slopes of the two functions, we need to determine the slope of each function.

For function 1, y = (1/3)x + 1/2, we can see that the coefficient of x is 1/3. Therefore, the slope of function 1 is 1/3.

For function 2, we can see from the graph that the line passes through the points (0, 2) and (4, 5). We can use these two points to find the slope using the formula:

slope = (change in y) / (change in x)

slope = (5 - 2) / (4 - 0) = 3/4

Therefore, the slope of function 2 is 3/4.

Comparing the two slopes, we can see that the slope of function 1 (1/3) is less than the slope of function 2 (3/4). Therefore, function 2 has a greater slope.

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Using the Factor Theorem, the length of one side of the garden is:

(3x - 4) feet.

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

In which a is the leading coefficient.

The area of a rectangle is given by the multiplication of it's dimensions. In this problem, it is given by:

A = 9x² - 24x + 16.

The root of 9x² - 24x + 16 = 0 is x = 4/3 with multiplicity 2, hence:

\(x_1 = x_2 = \frac{4}{3}\)

Hence the area can be written as:

\(A = 9\left(x - \frac{4}{3}\right) \times \left(x - \frac{4}{3}\right)\)

Then, to find one side:

9(x - 4/3) = 9x - 12 = 3(3x - 4).

Hence (3x - 4) feet is one side.

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The number of different collections of 60 coins that can be chosen is:

(60+4-1) choose (4-1) = 63 choose 3 = 22,275

If there are at least 60 of each kind of coin, we can assume that we have four different types of coins, such as quarters, dimes, nickels, and pennies. Let's assume we have x quarters, y dimes, z nickels, and w pennies.

We know that we need to choose a total of 60 coins. Therefore, we have the following equation:

x + y + z + w = 60

We want to find the number of different collections of coins that can be chosen. This is equivalent to finding the number of non-negative integer solutions to the equation above.

Using the stars and bars formula, the number of non-negative integer solutions to this equation is:

(n+k-1) choose (k-1)

where n is the total number of objects (60 in this case) and k is the number of groups we want to divide them into (4 in this case).

So, the number of different collections of 60 coins that can be chosen is:

(60+4-1) choose (4-1) = 63 choose 3 = 22,275

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To find the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company, we can use the following formula: CI = X ± Zα/2 * (σ/√n).

Where:

X = sample mean = 325.5 mg
σ = sample standard deviation = 10.3 mg
n = sample size = 80
Zα/2 = the critical value of the standard normal distribution corresponding to a 90% confidence level, which is 1.645.

Plugging in the values, we get:

CI = 325.5 ± 1.645 * (10.3/√80)
CI = 325.5 ± 2.38
CI = (323.12, 327.88)

Therefore, we can say with 90% confidence that the mean amount of drug in all the pills manufactured by the company is between 323.12 mg and 327.88 mg.


1. Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size:
SE = 10.3 mg / √80 ≈ 1.15 mg

2. Find the critical value (z) for a 90% confidence interval using a standard normal distribution table or calculator. In this case, the critical value is approximately 1.645.

3. Calculate the margin of error (ME) by multiplying the critical value (z) by the standard error (SE):
ME = 1.645 × 1.15 mg ≈ 1.89 mg

4. Determine the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower Limit = 325.5 mg - 1.89 mg ≈ 323.61 mg
Upper Limit = 325.5 mg + 1.89 mg ≈ 327.39 mg

Thus, the 90% confidence interval for the mean amount of drug in all the pills manufactured by the company is approximately 323.61 mg to 327.39 mg.

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Mr. Johns handle this situation to Agree to meet, listen to their concerns, and then explaining that one component of math is understanding reasonable answers.

Mr. Johns gave a test last week and Ginny missed one question. She answered that 14.5 people would ride on each bus rather than 15. Her parents would like a conference because she did the math problem correctly and should receive credit even though her answer was not reasonable.

Mr. Johns handle this situation to Agree to meet, listen to their concerns, and then explain that one component of math is understanding reasonable answers.

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Next, you’re going to research the author. Write down notes that target specific facts about Cisneros in the box below. Your notes should be helpful in understanding her biases, experiences, and knowledge. List three well-developed ideas as opposed to three simple facts in the light blue area of the box (that will be four ideas including my sample for an “A” grade). Be sure you are not copying and pasting from a website and that your words are your own. Cite your sources by putting the author’s last name or the title of the website if there is not an author. I have an example as a model.

Sandra Cisneros was born 1954 in Chicago, USA making her 49 years old, thus she was writing about the 1960-90’s. She writes all different styles of pieces most of which are for pre-teens and teens, but she also writes for adults. She has won a lot of different writing awards throughout her life (Cisnero).

Step-by-step explanation:

Answer:

7 x 2 x 3 = 42 cm3

Step-by-step explanation:

i hope its right

stan got7

Answer:

The required expression is (x+2).

\(x'=x+2=3+2=5\)

Step-by-step explanation:

The given point is (3,6).

Here,

x-coordinate = 3

y-coordinate = 6

We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.

If a point is shift 2 yard east it means the value of x-coordinate increases by 2 units. It means

\(x'=x+2\)

where, x' is new x-coordinate and x is initial x-coordinate.

Put x=3 in the above equation.

\(x'=3+2=5\)

Therefore, the new x-coordinate is 5.

Answer:

We need to find an algebraic expression to represent the new x-coordinate after a translation of two yards east.

Step-by-step explanation:

Answer:

You do length times width to find the area.

Step-by-step explanation:

7x14=98

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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The volume of Cone is 65111.04 cm³.

We have, slant height= 60 cm

height= 48 cm

Now, radius = √l² - h²

= √60²- 48²

= √3600 - 2304

= √1296

= 36 cm

Now, volume of Cone

= 1/3 πr²h

= 1/3 x 3.14 x 36 x 36 x 48

= 195333.12/3

= 65111.04 cm³

Thus, the volume of Cone is 65111.04 cm³.

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Answer:

37/8

Step-by-step explanation:

4*8=32

32+5=37

Answer:

37/8

Step-by-step explanation:

First you would would muiliply the denomater my the whole number and then add the nummerater.

The statement is TRUE. Extrapolation in regression analysis refers to using the line of best fit to predict values that lie outside the range of the observed data.

It involves extending the regression line beyond the observed data points to estimate values for variables that are beyond the range of the data. However, it's important to note that extrapolation can be risky because it assumes that the relationship between the variables continues outside the observed range, which may not always be valid. Extrapolation should be done with caution and its results should be interpreted carefully.

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The shortest distance from the given surface function to the origin is 9 units.

What is function?

A function in mathematics is nothing but a relationship among the inputs i.e. the domain and their outputs i.e. the codomain where each input has exactly one output, and the output can be find by tracing back to its input.

Let us take the square of distance function be f(x, y, z)= x² + y² +z²

Given function is g(x, y, z)= xy+12x+z²

Now applying Lagrange multiplier as ,

∇f(x, y, z)= λg(x, y, z)

Now finding the gradient to both sides ,

< 2x, 2y, 2z>=λ <y+12, x, 2z>

Now equating both sides we get,

2x= λ(y+12), 2y= λx, 2z= 2λz

So solving we get,

λ=1

putting the value of λ in 2x= λ(y+12) and 2y= λx we get,

2x= y+12 and 2y= x

solving these two equations we will get,

x= 8 and y=4

Now plugging all these values in the equation

xy+12x+z²= 129 and solve for z,

32+96+z² =129

z²= 129-128

z²=1

z=±1

Now for x= 8, y=4 and z= ±1 the function f(x, y, z) becomes

(8)²+(4)²+(1)²

= 64+16+1

= 81

d=√81

Hence, the shortest distance from the given surface to the origin is 9 units.

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Answer:

66.99 cm³

Step-by-step explanation:

V=πr²h /3

V = (3.14)(2)²(16)/3 = 66.99 cm³

Answer:

1 : 4

Step-by-step explanation:

The ratio of

orange : water

= 50 : 200 ( divide both parts by 50 )

= 1 : 4

Answer:

\( - 3x - 4y ^{2} \)

Step-by-step explanation:

\( - 3 - 2 ^{2} y ^{2} \)

\( - 3x - 4y ^{2} \)