Prism P and prism Q are similar.
The ratio of the surface area of prism P to the surface area of prism Q is 1 : 3.

The volume of prism Q is 86
c
m
3
.

Calculate the volume of prism P.

A reflection in the x-axis is recognized by the reversal of y-coordinates. Pre-image points' y-coordinates are multiplied by -1 to obtain the corresponding image points' y-coordinates.

The given coordinates show that a reflection has occurred on the x-axis. In a reflection over the x-axis, the y-coordinates of the pre-image points are multiplied by -1 to get the corresponding points in the image.

In this case, the y-coordinate of point a changed from -5 to 5, while the y-coordinate of point b changed from 1 to -1. However, the y-coordinate of point c remained the same at 0. Thus, a reflection in the x-axis has occurred.

The summary of the answer is that the reflection in the x-axis is identified through the change in the y-coordinate of the points in the image from those in the pre-image.

The y-coordinates in the pre-image are multiplied by -1 to obtain the corresponding y-coordinates in the image.

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Answer: 180

Step-by-step explanation:

Answer:23 5/8 cups of flour is needed

Step-by-step explanation:

Step 1

The ratio of flour to sugar is 2 ¼cups : 1 ½ cups

Using equivalent ratios, given that 15 ¾ cups of sugar was used ,

let cups of flour needed = x      such that our equation becomes  

flour / sugar =  2 ¼/ 1 ½ = x/ 15 ¾

Step 2--- Solving

2 ¼/ 1 ½ = x / 15 ¾

cross multiplying

2 ¼ x 15 ¾=  1 ½ x X

9/4 X 63/4 = 3/2 X

567/16= 3/2 X

X = 567 /16 X 2/3

1,134/48

X = 23.625 = 23 5/8

Therefore, 23 5/8 cups of flour is needed

Answer:

the money should be split as per each girl sold. total boxes sold is 100.

Step-by-step explanation:

total boxes sold is 100. Mia sold 57/100 keela 28/100 and Michelle 15/100.

mia=456$

keela=224$

michelle=120$

calculated as boxes sold/100 x 800$

Answer:

21 cm

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of the 3 sides. We already know all 3 lengths. The base is 6 cm, and the other two sides are 7 cm and 8 cm. 6+7+8 = 21. The perimeter is 21 cm.

perimeter of the triangle when base=6cm , height=6cm and side=7cm:

perimeter =6+6+7= 19cm.

perimeter of the triangle when base=6cm , height=6cm and side=8cm:

perimeter =6+6+8= 20cm.

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Answer:

72

Step-by-step explanation:

Answer:

-12 percent

Step-by-step explanation:

Where: 75 is the old value and 66 is the new value. In this case we have a negative change (decrease) of -12 percent because the new value is smaller than the old value.

The Fourier series of the function f(x) = 1 on the interval 0 ≤ x ≤ 2 can be represented as a combination of cosine and sine terms.

The coefficients of the series can be determined by computing the integrals of the function multiplied by the corresponding trigonometric functions. The first two harmonics can be obtained by considering the terms with frequencies related to the fundamental frequency. The coefficients of these harmonics can be computed using the given data points and the formulas for Fourier coefficients.

To find the Fourier series of f(x) = 1 on the interval 0 ≤ x ≤ 2, we need to compute the coefficients for the cosine and sine terms. The general form of the Fourier series is given by f(x) = a₀/2 + Σ(aₙcos(nπx/L) + bₙsin(nπx/L)), where L is the period of the function (in this case, L = 2).

To compute the coefficients, we need to evaluate the integrals of f(x) multiplied by the corresponding trigonometric functions. Since f(x) is a constant function, the integrals simplify to the following: a₀ = 1/2, aₙ = 0, and bₙ = 2/L ∫[0,2] f(x)sin(nπx/2)dx.

Next, we can compute the first two harmonics. For n = 1, we substitute the given data points (tₖ, f(tₖ)) into the integral formula to find b₁. Similarly, for n = 2, we compute b₂ using the given data points.

By plugging in the calculated coefficients, the Fourier series of f(x) = 1 can be expressed as f(x) ≈ 1/2 + 4/π sin(πx/2) + 4/(3π) sin(3πx/2), considering the first two harmonics.

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Answer:

Yes they ae all proportional

Equation: x*0.35=y

Step-by-step explanation:

Find the unit rate for all and compare

1.05/3=0.35

1.75/5=0.35

2.8/8=0.35

Since they are all equal, there proportional

Answer:

y = 0.35x

Step-by-step explanation:

Jane:

Cost of 3 postcards= $1.05

Cost of 1 post card = 1.05 ÷ 3

                              = $ 0.35

Rosi:

Cost of 5 postcards= $1.75

Cost of 1 post card = 1.75 ÷ 5

                              = $ 0.35

Tanya:

Cost of 8 postcards= $2.80

Cost of 1 post card = 2.80 ÷ 8

                              = $ 0.35

As unit rate is same, Cost and number of postcards are in proportion.

Cost of cards = 0.35 * number of cards

y = 0.35*x

y = 0.35x

Answer:

y=3x+1.4 (???)

Step-by-step explanation:

You didn't provide a slope or any points on the graph so I'm assuming you can just make whatever number you fancy the slope. Not very sure what you mean by this question... Try to give more info of the question!

Solution

The question would like us to evaluate the following expression

- We should deal with the modulus and bracket separately.

- After that, we can then perform the subtraction operation on the results of the modulus and bracket.

- This is done below:

Also,

Thus, combining both results, we have:

Final Answer

The answer is -6

Answer:

-6 hope it helps

thank you

Answer:

ferris wheel: 2

roller coaster: 4

Step-by-step explanation:

Variables

y = ferris wheel tickets

x = roller coaster tickets

Two equations

5y + 4x = 26

5y + 3x = 22

Using Elimination (minus the top and bottom)

We get:

x = 4 (because 5y - 5y is zero, 4x - 3x is x, and 26 - 22 is 4)

Since the roller coaster price is know, you can sub it into any of the two equations and fine ferris wheel price.

5y + 3(4) = 22

5y + 12 = 22

5y = 10

y = 2

Therefore:

ferris wheel charges 2 tickets

roller coaster charges 4 tickets

Answer:

Step-by-step explanation:

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

Vince works in an amusement park and is helping decorate it with strands of lights. This morning, he used a total of 16 strands of lights to decorate 2 bushes and 1 tree. This afternoon, he strung lights on 3 bushes and 4 trees, using a total of 44 strands. Assuming that all bushes are decorated one way and all trees are decorated another, how many strands did Vince use on each?

Vince decorated every bush with

strands of lights and every tree with

strands.

The term that is not possible in the domain of a sequence is:

-5

The domain of a function is the set that contains all possible input values for the function. For a sequence, the domain is the set that contains all the indexed of the terms, starting at 0 and going until the nth term.

For example, suppose we have the following sequence: 3, 5, 7, ...

From what was explained above, which also can be visualized with the example, an index term of a sequence cannot be negative, hence the term that is not possible in the domain of a sequence is:

-5.

Which is the only negative number of the options.

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Answer:

98 girls

Step-by-step explanation:

Every 2 boys there are 7 girls. So, there are 28 boys we need to find how many more times boys there are so, 28/2=14 and then we would multiply 14*7=98. So, 98 girls.

Answer: This is a periodic relation.

Step-by-step explanation:

This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.

Then we can write this as h(t) = A*sin(C*t + F) + B

Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.

2*A is the distance between the maximum height and the minimum height.

B is the middle height of the Femis Wheel.

The given statement is true for tabulation method representing the variable different categories and summarize it in tabulation method makes the calculation simple.

As given in the question,

Therefore, the given statement of representing the variable different categories and summarize it in tabulation method makes the calculation simple is a true statement.

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Answer:

is there a picture of the answers?

Step-by-step explanation:

also can u help me with my question pls

Answer:

9 is your answer. It's a simple equation.

Answer: is this supposed to be 3 to the power of 4?

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

the solution is (5,5)

Step-by-step explanation:

if you plug in (5,5) where the x and y are you will find that the equation will balance out.

PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.

The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Simplify the exponent expressions within the parentheses:

(3^0 * 8^2) = (1 * 64) = 64

Step 2: Rewrite the expression with the simplified value:

(64)^-2

Step 3: Apply the exponent rule for a negative exponent:

(64)^-2 = 1 / (64)^2

Step 4: Evaluate the expression within the parentheses:

(64)^2 = 64 * 64 = 4096

Step 5: Rewrite the expression with the simplified value:

1 / 4096

Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.

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Answer:

y = 2x + 6

y = -1/4 x - 3

Step-by-step explanation:

We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.

The equations are:

y = 2x + 6

y = -1/4 x - 3

The correct option is option (c) i.e 95%. Based on Shane Murphy's research, Doug Jowdy and Shirley Durtschi conducted a poll in U.S. about imagery use and find that approximately 95% of U.S. and Canadian Olympic athletes use imagery.

Imagery is a mental skill that many of us are familiar with. Imagery can be an effective mental skill that enhances performance when performed correctly and tailored to an athlete's needs. You can train your mind.

Physical repetition alone is not enough to develop a skill and take an athlete or team to the next level. Imagery is very important to be clear about what you want the result of your visualization to be, because the use of imagery can prepare the mind to ultimately direct the body. Asking athletes to take a "mental tour", visualizing their event and what they want to see, is a great tool for success and also helps them relax when playtime comes around increase. Shane Murphy, Doug Jowdy, and Shirley Durtschi conducted an imagery study by interviewing coaches at the US Olympic Training Center in Colorado Springs, Colorado, and found that 95% of coaches and 97% of athletes used imagery in their sport. It turns out that there is His 100% of coaches and his 97% of athletes surveyed agreed that imagery improve performance. When asked why an athlete uses an imagery, 80% used it to prepare for the contest and 48% used it to deal with technical errors , 44% learn new skills and 40% relax…

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The following statements can be concluded if ∠ABC and ∠CBD are a linear pair:

B. ∠ABC and ∠CBD are supplementary.

D. ∠ABC and ∠CBD are adjacent angles.

In Mathematics, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two adjacent angles would be equal to 180° when two parallel lines are cut through by a transversal.

According to the linear pair theorem, ∠ABC and ∠CBD are supplementary angles because BDC forms a line segment. Therefore, we have the following:

∠ABC + ∠CBD = 180° (supplementary angles)

m∠ABC ≅ m∠CBD (adjacent angles)

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The solution of the given equation is [solution] with a true percent relative error of [error].

To solve the given equation using the composite Simpson's 1/3 rule, we need to apply the formula with the specified value of n = 4.

However, the equation itself is missing from the question, so we cannot provide the exact numerical solution.

Similarly, the true percent relative error also depends on the analytical solution, which is not provided. Without the equation and the analytical solution, we are unable to calculate the numerical solution or the true percent relative error accurately.

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The value of angle ∠ABD=144° and ∠DBC=36°.

An endless figure without width is a straight line. It consists of an infinite number of points connected at both ends. It doesn't have any curves at all. It can be straight, angled, or vertical. We use a sleeping straight line or a standing straight line when explaining geometry to preschoolers.

\(ABC\) is a straight line,

Hence,

∠ABD+∠DBC=180°

(4x+8)+(x+2)=180°

5x+10=180°

5x=170°

x=34°

Hence,

∠ABD=4*34+8

∠ABD=144°

∠DBC=36°

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Answer: 0.0023

Step-by-step explanation:

230, 000 nm

10^-9

dam are 10^-1

Therefore, divide nm by 10^8

Therefore, 0.0023

I hope this helps :)

BB76

For the actual number 3 and the predicted value 1.6 the residual  is equal to 1.4.

As given in the question,

The actual number is equal to 3

The predicted value is equal to 1.6

The residual is the difference between actual number and predicted value.

Formula for the residual is:

Residual = Actual number - Predicted value

Substitute the value of the actual number and the predicted value in the formula ,

⇒ Residual = 3 - 1.6

⇒ Residual = 1.4

Therefore, the residual for the given the actual number and the predicted value is given by 1.4.

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Answer:

18

Step-by-step explanation: