Find the surface area of the figure. Round the the
nearest hundredth when necessary.
22 in
17 in
19 in
35 in
20.3 in

Answer:

1375

Step-by-step explanation:

16*3*29 = 1392

1392-17 =1375

Transformation is a function that takes points on the plane and maps them to other points on the plane.

Transformations can be applied one after the other in a sequence where you use the image of the first transformation as the pre image for the next transformation.

Find the image for each sequence of transformations.

 Using geometry software, draw a triangle and label the

vertices A, B, and C. Then draw a point outside the

triangle and label it P.

Rotate △ABC 30° around point P and label the image as

△A′B′C ′. Then rotate △A′B′C ′ 45° around point P and

label the image as △A″B″C ″. Sketch your result.

 Make a conjecture regarding a single rotation that will map △ABC to △A″B″C″.

Check your conjecture, and describe what you did.

 Using geometry software, draw a triangle and label the

vertices D, E, and F.

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The step in simplifying the expression 3x/(x+5) - 3/(x+6) would result in 3x² + 18x - 3x - 15. The two terms that can be combined in the numerator to simplify are -3x and 18x. So, the correct answer is A), B) and D).

When multiplying the terms together in the first step of simplifying, we would get

3x - 3(x + 5)/(x + 6)

Simplifying this expression would lead to

3x² + 15x - 3x - 15/(x + 6)

Therefore, the answer is option (b): 3x² + 18x - 3x - 15

To simplify the numerator, we need to combine like terms.

To simplify the numerator, we need to combine like terms. The given expression is

3x² + 18x - 3x - 15

Here, the terms 18x and -3x have the same variable (x) and the same power (first power), but they have opposite signs. Therefore, we can combine them by subtracting the smaller value from the larger value. In this case, we have

18x - 3x = 15x

So, the expression simplifies to

3x² + 15x - 15

Therefore, the two terms that we would combine in the numerator to simplify are -3x and 18x, which give us 15x. So, the correct option is B) and D).

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- To answer a question about a sale transaction on rental property that closes on December 16, you need to calculate how much rent the landlord owes to the buyer for the remaining days of December.

- You can use a formula called prorated rent to calculate the amount of rent that is proportional to the number of days that the buyer owns the property. Prorated rent splits the amount between the previous and new owners of a rental property.

- The formula for prorated rent is: Prorated Rent = (Monthly Rent / Number of Days in Month) x Number of Days Rent Owed

- In your case, the monthly rent is $713, the number of days in December is 31, and the number of days rent owed is 16 (from December 16 to December 31). The closing day is the buyer's, so the landlord owes rent for that day as well.

- Plugging these values into the formula, you get: Prorated Rent = (713 / 31) x 16 = 368.26

- This means that the landlord owes $368.26 to the buyer for the remaining days of December.

I hope this helps you answer your question.

Note that where the above is given, the Standard Error is: 0.0322; while

The Value of the two-sample z-statistics p1-p2 = 6.048

To get the standard error, we can say

SE = √((p1  x  (1-p1)/ n1) + (p2  x (1-p2)/n2) )

Substituting....

SE = √((0.7122  x (1-0.7122)/403) + (0.4594  x (1-0.4594)/468))

SE = 0.03223785349

SE ≈ 0.0322

2) For the two-sample z-statistic formula:

z = (p1 - p2) / SE

Substituting values    ..........

z = (0.7122 - 0.4594) / 0.042

z = 6.048

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The bearing of C to A is 239⁰.

The bearing of C to A is calculated by finding the value of angle C using cosine rule since we know the value of all the sides of the triangle.

AB² = AC² + CB² - 2(AC)(CB) cosC

12.5² = 16.25² + 8.5² - 2(16.25 x 8.5) x cos C

156.25 = 336.3125 - 276.25cosC

276.25cosC = 180.06

cosC = 180.06/276.25

cos (C) = 0.6518

C = cos⁻(0.6518)

C = 49.3⁰

The value of angle A is calculated as follows;

Sin A/CB = Sin C/AB

sin A/8.5 = sin 49.3/12.5

sin A = 8.5 [sin 49.3/12.5]

sin A = 0.5157

A = sin⁻¹ (0.5157)

A = 31⁰

The bearing of C to A is calculated as;

= 270⁰ - 31⁰

= 239⁰

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An appropriate tip for a waiter at a restaurant is at least 15% of the total bill. For a tab of $20, the tip would be:

Tip amount = 15% of $20

Tip amount = 0.15 x $20

Tip amount = $3

Therefore, the total amount of money that should be left, including tip, is:

$20 (tab) + $3 (tip) = $23.

The expected values are 60 blues, 30 reds and 30 greens

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

6 blue cubes, 3 red cubes, and 3 green cubes

This means that we have the following proportions

Blue = 6/(6 + 3 + 3) = 1/2

Red = 3/(6 + 3 + 3) = 1/4

Green = 3/(6 + 3 + 3) = 1/4

If you draw a cube and replace it in the bag 120 times, we have

Blue = 1/2 * 120 = 60

Red = 1/4 * 120 = 30

Green = 1/4 * 120 = 30

Hence, the expected values are 60 blues, 30 reds and 30 greens

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Answer:

Colbie did not complete the square correctly.

Colbie failed to add the square of half the coefficient of the term in x to both sides of the equation. She only added 25 to the left side of the equation. She also factored x² + 10x + 25 incorrectly by using a subtraction sign in the binomial rather than an addition sign.

Step-by-step explanation:

Given quadratic equation:

[tex]2x^2+20x-48=0[/tex]

As the leading coefficient is not one, to complete the square we must first divide both sides of the equation by the leading coefficient, 2:

[tex]\dfrac{2x^2+20x-48}{2}=\dfrac{0}{2}[/tex]

[tex]x^2+10x-24=0[/tex]

Now move the constant to the right side of the equation by adding 24 to both sides of the equation:

[tex]\begin{array}{rcr}x^2+10x-24&=&0\\\vphantom{\dfrac12}+24 & &+24\\\cline{1-3}\vphantom{\dfrac12}x^2+10x\phantom{-24.}&=&24\end{array}[/tex]

We need to make the left side of the equation a perfect square trinomial. To do this, add the square of half the coefficient of the term in x to both sides of the equation.

The coefficient of the term in x is 10. Therefore, the square of half of this is 25:

[tex]\left(\dfrac{10}{2}\right)^2=5^2=25[/tex]

This is the point at which Colbie made her first mistake. She didn't add the square of half the coefficient of the term in x to both sides of the equation - she only added it to the left side.

Add 25 to both sides of the equation:

[tex]x^2+10x+25=24+25[/tex]

[tex]x^2+10x+25=49[/tex]

To continue to solve the equation, factor the perfect square trinomial on the left side of the equation:

[tex](x+5)^2=49[/tex]

↑ Colbie made her second mistake here. She factored x² + 10x + 25 incorrectly by using a subtraction sign in the binomial rather than an addition sign.

Square root both sides:

[tex]\sqrt{(x+5)^2}=\sqrt{49}[/tex]

[tex]x+5=\pm7[/tex]

Subtract 5 from both sides:

[tex]x+5-5=-5\pm7[/tex]

[tex]x=-5\pm7[/tex]

Therefore, the solutions are:

[tex]x=-5+7=2[/tex]

[tex]x=-5-7=-12[/tex]

An equation and solution that tells how long it takes the object to reach a height of 96 feet if its initial height is 208 feet is:

D. 96 = 208 - 16t²

    t = √7

Based on the information provided, we can logically deduce that the height (h) in feet, of this object above the​ ground is related to time by the following quadratic function:

h(t) = h₀ - 16t²

When the initial height is 208 feet and final height is 96 feet, the height function becomes;

h(t) = h₀ - 16t²

96 = 208 - 16t²

16t² = 208 - 96

16t² = 112

t² = 112/16

Time, t = √7 seconds.

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The number of friends that get 7 walnuts is 3 and there are 5 walnuts are left over

Here, we have

So, we have

Friends = 26/7 = 3 R 5

This means that 3 friends get 7 walnuts and there are 5 walnuts are left over

Here, we have

Oranges = 57

Oranges in each bags = 6

So, we have

Bags  57/6 = 9 R 3

This means that there are 9 full bags of oranges, 3 oranges are not in the bag and Juan needs 10 bags in total

Here, we have

Craft sticks = 85

Friends = 9

So, we have

Sticks left = 85\9

Evaluate

Sticks left = 4

Hence, there will be 4 sticks left

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Step-by-step explanation:

Answer:

The answer is A.

A graph passes through a point if its equation is equal to the coordinate of this point. In this exemple:

5x+4y=8

we replace the variables with 4 and -3 (x with 4 and y with -3):

5(4)+4(-3)=8

20-12=8

8=8 so it passes.

NOW , for the slope:

slope = - 5/4 ( the equation is 5x+4y=8 , the cartesian equation is 5x+4y-8=0. THE cartesian equation with variables is ax+by+c=0) NOW this is linked with the slope bcz the slope is linked to the director vector (-b;a) that gives (-4;5), this is the director vector's formula that we're going to call U. THEN with this formula you get the slope: Y of U / X of U = 5/-4 = - 5/4 (bcz you dont leave the denominator with a negative sign).

THAT'S it thats the answer.

The cost per ounce of the premium walnut is $0. 23

To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such  that they are made equal to another.

From the information given, we have that;

54 ounces of premium walnuts costs $12.95

This is represented as;

54 ounces = $12. 95

Then 1 = x

cross multiply the values, we get;

x = $12.95/54

Divide the values, we get;

x = $0. 23

Hence, the value is $0. 23 per premium walnut

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The correct statement regarding the graph is given as follows:

C. The graph is non-proportional and has the equation y = -2x + 18.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The slope and the intercept of the line in this problem are given as follows:

Thus the equation is:

y = -2x + 18.

The equation is non-proportional, as it has an intercept which is different of zero.

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The value of f(1) is 3.

An estimate of the value of f(-1) is -0.2.

The values of x for which f(x) = 1 are: x = (0, 3).

The value of x such that f(x) = 0 is x = -0.5.

The domain of f is {-2, 4}.

The range of f is {-1, 3}.

The interval over which f is increasing is {-2, 1}.

In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of the function shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {-2, 4}.

Range = {-1, 3}.

In conclusion, we can logically deduce that this function is increasing over the [-2, 1] and decreasing over the interval [1, 4].

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Answer:

t⁴+5t³-3t²-2

Step-by-step explanation:

You can't subtract a variable with a different exponent:

Example:

CAN'T BE SUBTRACTED - 3x²-3x⁴

CAN BE SUBTRACTED - 4x²-2x²=2x²

[tex]\sf -t^{4}+5t^{3} +3t^{2} -16.[/tex]

[tex]\sf (5t^{3} -9)-(t^{4}-3t^{2} +7 )[/tex]

Beware of the terms of the right hand side parenthesis, as we'll have to change the symbol of all of them because of the minus (-) symbol infront of the parenthesis.

[tex]\sf 5t^{3} -9-t^{4}+3t^{2} -7[/tex]

Like terms are terms that contain the same variables and can be added and subtracted simply. For example, 7x and 2x are like terms, because they are both expressed in terms of x. However, 7x and x² are not like terms, because one os expressed in terms of x and the ither in terms of x².

• Note: All natural numbers not being multiplied by any variables are like terms.

So now let's identify those like terms:

From this expression: [tex]\sf 5t^{3} -9-t^{4}+3t^{2} -7[/tex]

Only -9 and -7 are like terms. And, since -9-7= -16, the resulting expression should be the following:

[tex]\sf 5t^{3} -t^{4}+3t^{2} -16[/tex]

So even though the last expression is the answer to this problem, we can polish it a little bit by ordering the terms. In math and other exact sciences, terms are normally ordered alphabetically and from greatest to least of it's the same variable with different exponents. Therefore, the final answer is:

[tex]\sf -t^{4}+5t^{3} +3t^{2} -16.[/tex]

Answer:

To answer the question, you first need to understand what a net is. A net is a two-dimensional diagram that can be folded to form a three-dimensional object. In the context of this question, a net represents the unfolded and flattened-out shape of a flower box before it is assembled.

To draw a net that represents a flower box, you need to imagine what the box would look like if it were flattened out and unfolded. You can start by drawing a rectangle for the bottom of the box. Then draw four rectangles that represent the sides of the box. Each of the side rectangles should be the same length as the length of the bottom rectangle, and the width of each side rectangle should be the same as the height of the box.

Next, you need to label the net to indicate which sides will be connected to form the box. Label the edges of the rectangles with the corresponding letter to show how the box will be assembled. For example, label the top edge of the bottom rectangle as "A" and the bottom edge of one of the side rectangles as "B". Then, label the side edges of the side rectangle as "C" and "D".

To find the amount of material George needs for each box, you need to calculate the total surface area of the net. The surface area represents the amount of material needed to cover the entire box. You can find the surface area by calculating the area of each rectangle and adding them together.

In this case, the bottom rectangle has an area of 16 square inches, and each of the four side rectangles has an area of 8 square inches. Therefore, the total surface area of the net is:

16 + 4(8) = 48 square inches

This means that George needs 48 square inches of material to make one flower box.

You drew the net the way you did because it represents the flattened-out and unfolded shape of the flower box before it is assembled. Labeling the edges and rectangles helps to visualize how the box will be assembled and allows you to calculate the surface area needed to cover the entire box.  

have a good day and stay safe

The total weight of all the cantaloupes that weigh more than 2 1 / 2 pounds is 8 2 / 4 lb ​.

As shown on the line plot, the number of cantaloupes with a higher mass than 2 1 / 2 pounds are those which have a weight of 2 3 / 4 pounds.

There are enough of them that when they are added up, we get the sum of 8 2 / 4 lb​ as the total mass of the cantaloupes. This can also be written in decimals as 8. 5 lb.

In conclusion, option D. is correct.

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Answer:Assuming that the number on the end of the number line is a 1 (I cant read it too clearly), this number line goes to 7/7ths so that means A would be 1/7th and B would be 4/7th

Step-by-step explanation: thats how Number lines work

Answer: B: cone with a height of 4 units and a radius of 3 units

Step-by-step explanation:

Surface Area: 9pi + 15pi = 24pi square units

Volume: 9pi x 4 x 1/3 = 12pi cubic units

Answer:

  (d)  (12, -34)

Step-by-step explanation:

You want the component form of the vector sum -3u +5v where u=(1,3) and v=(3,-5).

Add the corresponding parts of the scaled vectors. The scale factor applies to both vector components. (It works the same way as "dilation".)

  -3u +5v = -3(1, 3) +5(3, -5)

  = (-3, -9) +(15, -25) = (-3 +15, -9 -25)

  = (12, -34)

Answer:

3.2mm

Step-by-step explanation:

Answer:

3.2mm

Step-by-step explanation:

The composite functions are (f · g) (x) = (x + 2)² and (f / g) (x) = 1, whose domains are all real numbers. The value of each function at x = 2 is listed below:

In this problem we must determine and analyze composite functions. Composite functions can be found by combining two simpler functions thanks to operators. There are four operators to make composite functions:

The domain of a function is the set of all possible of x-values.

First, we determine the two composite functions: f(x) = g(x) = x + 2.

Case A:  

(f · g) (x) = (x + 2)²

Case B:

(f / g) (x) = 1

Second, determine the domain for each case:

Case A:

All real numbers.

Case B:

All real numbers.

Third, evaluate each case at x = 2:

Case A:

(f · g) (2) = (2 + 2)² = 4² = 16

Case B:

(f / g) (2) = 1

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Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

If the question is asking you to add the two fraction you would need to follow these steps:

Step 1: find a common denominator (both of the number 20 in common

Step 2: add the numerators ( 7/20 + 1/20 would = 8/20 )

Step 3 simply the fraction ( 8/20 will be simplyed to 2/5)

Answer:

33/20

Step-by-step explanation:

First find the Least common denominator

Then you check how many times each denominator goes into de Least common denominator

After multiply the number you got when you checked for the times the denominator will go into the LCM with the numerator then simplify