Anya is wrapping gift boxes in paper. Each gift box is a rectangular prism. The larger box has a length, width, and height twice as large as the smaller box. Which statement shows the relationship between the surface areas of the gift boxes?A. The larger gift box has a surface area 2 times as large as the smaller gift box.B. The larger gift box has a surface area 4 times as large as the smaller gift box.C. The larger gift box has a surface area 6 times as large as the smaller gift box.D. The larger gift box has a surface area 8 times as large as the smaller gift box.thank you ! :)

Answer:

1024 km are equal to 102400000 cm

Explanation:

There are a hundred thousand centimeters in one kilometer, this would help us convert 1024 km to cm, as required.

Let x denote the value of 1024 km in cm.

1 km = 100000 cm

1024 km = x cm

Then we have:

x = 1024 * 100000

= 102400000

Therefore, there are 102400000 cm in 1024 km.

The ellipse equation is given by option a: quantity x minus 8 end quantity squared over 25 plus y squared over 9 equals 1.

The equation for an ellipse of centre is:

(x - x₀)²/a² + (y - y₀)²/b² = 0.

The values a and b are determined by the vertices and eccentricity.

That has vertices at (3, 0) and (13, 0) , resulting in:

x₀ = 13 + 3 / 2 = 8

y₀ = 0 + 0 /2 = 0

a = 13 - 3/2 = 5

a² = 25

It has the eccentricity of 4/5, so:

4/5 = c/a

c = 4

Thus, b is given by the following equation:

c² = a² - b²

b² = a² - c²

b² = 25 - 16

b² = 9

The ellipse's equation is:

(x - 14)²/25 + (y )²/9 = 1.

Thus, the equation of ellipse is "quantity x minus 8 end quantity squared over 25 plus y squared over 9 equals 1."

To know more about the ellipse, here

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1) Considering that when He woke up the temperature was 102ºF and then there was a decrease in the temperature by 3º we can write out the following:

Note that the temperature decreased by exactly 3º.

2) Hence, the answer is 99ºF

The equations are equivalent by the equality property of addition, which states that if we add the same quantity to both sides of an equation, then our equation remains the same. Since john is adding n to both sides, the equation remains the same and therefore, they are equivalent.

In the given figure, there are two squares and one rectangle.

The side of one square is , 2 cm

Therefore, the area of square is,

The side of other square is, 5 cm.

Therefore, the area of square is,

The area of square is ,

Similarly, the area of rectangle is,

Therefore, the area of figure is,

The area of f

Given:-

The denominator of a fraction is one more than three times and if 8 is added to the neumerator and the demominator then the solution is 1/2.

To find the equation.

So now the given fraction is,

So now we add. so we get,

So now we get,

So this is the required solution.

The equation of a circle with radius r centered at (h,k) is given by:

If the circle passes through the origin, then we have:

Then, for a circle centered at (-27,120) passing through the origin, we have:

Answer: D

let's find the area by parts

red is the first part

we need the area of the red square an substract the mid-circle area

square is A=bxh

so A=2x4=8

the area of the circle is A=pi x r2

so the area of the circle is A=pi x 4 and the middle is 2pi

the total red area is

green part

te area is A=bxh, the heigth is 4 like the diameter of the circle and the base is 8 less 2 (of the radius) and less 4(of the base

Quadrant 1

Given the rational function

From the function, you can see that the vertical asymptotes of the function is at x = 1 (the point where the denominator is zero),

The quadratic numerator also shows that the curves cuts the x-axis at two points as shown in the graph below;

From the graph shown, you can see that the both branches of the function pass through the Quadrant 1. For other quadrants, either one of none of he branches passes through

EXPLANATION

Given the equation h + 1.8 = 11.9

Subtracting -1.8 to both sides:

h = 11.9 - 1.8

Adding like numbers:

h = 10.1

We can check the answer by substituting on the equation as follows:

10.1 + 1.8 = 11.9

Adding numbers:

11.9 = 11.9

As the numbers are equal, the equation is well done.

Let's begin by listing out the given information:

Lines j & k are parallel. Both are intersected by a transversal line

Both angles in the picture are congruent. As such, the value of x is:

The converse of j || k is k || j (k is parallel to j)

a) the multiplicity of x=3, or (x-3), is 2. That means, this zero repeats twice.

b) one of the roots is x=3, not x=-3

c) odd function: f(-x)=-f(x)

f(-x) = (-x-1)^2(-x-3)^2

(x^2 + 2x + 1 ) (x^2 +6x +9)

-f(x)=-(x-1)^2(x-3)^2

=-(x^2-2x+1)(x^2-6x+9)

f(-x) is not equal as -f(x)

d) If we graph the function, we will see that it range is y>0

For this reasion, statement A is true.

EXPLANATION

The appropiate relationship is

Multiplying both sides by 3:

Simplifying terms:

The answer is x=9/2 or 4.5

The given expression is

100^a x 1000^b

Recall,

100 = 10^2

1000 = 10^3

Thus, the expression would be

10^2a x 10^3b

We would apply one of the rules of exponents which is expressed as

a^b x a^c = a^(b + c)

By applying this rule, we have

10^(2a + 3b)

By comparing it with 10^w, we have

w = 2a + 3b

Answer:

Explanations:

Since a pentagon is 5 sided, the perimeter would be:

Using x = 2 , we would get:

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

Explanation:

The interval we're working with is [4,5] aka [tex]4 \le \text{x} \le 5[/tex]

We'll plug the endpoints of said interval into the f(x) function

Let's start with x = 4

[tex]f(\text{x}) = \text{x}^3-2\text{x}^2+16\text{x}+28\\\\f(4) = (4)^3-2(4)^2+16(4)+28\\\\f(4) = 124\\\\[/tex]

The actual result doesn't matter. All we care about is if the value is positive or negative. We see that f(4) is positive.

Now plug in x = 5

[tex]f(\text{x}) = \text{x}^3-2\text{x}^2+16\text{x}+28\\\\f(5) = (5)^3-2(5)^2+16(5)+28\\\\f(5) = 183\\\\[/tex]

The value of f(5) is positive as well.

Unfortunately we don't have enough info to determine if f(x) has a root in the interval [4,5]

We would need either of the following conditions

In other words, we need the signs of f(4) and f(5) to alternate. One needs to be positive, the other negative. This is to guarantee that the f(x) curve crosses the x axis at some point. Think of it like a river or a road. The continuous road can't magically jump over the x axis without crossing it.

But because f(4) and f(5) don't differ in sign, this means we don't know if f(x) ever dips below the x axis. It might as shown in figure 1, but it may not as indicated in figure 2. There's simply not enough information.

To select the interval where g is negative:

From the graph,

We observe that

The interval where g is negative is,

Solution

For this case we know the diameter:

D= 9 ft

Then the radius is:

r= 9/2 ft

Then we can use the following formula

Then the measure would be:

Since the given information says, there are approximately 5 meters in 16 feet, we need to find the height in feet of the house of cards which is 8 meters tall

We need to find X in feet.

X = 8 * 16 / 5 = 25.6 ft

Answer:

Explanation:

What we have to do is to make a substitution of the coordinates into the two given equations

If we have a match with the values on the right sides of the equality signs of both equations, then the point is a solution to the system

Thus, we substitute x = 3 and y = -2

We have:

Now, as we can see, the point worked for the first equation but did not work for the second

Ultimately, what that means is that the point is not a solution to the system of equations

Given the graph of Time Vs. Population, you can identify that the x-axis represents the Time (in years), and the y-axis represents Population (in thousands),

Notice that, in this case, when:

The corresponding y-value is:

And when:

The y-value is:

Therefore, you can identify that as the number of years decreases from 2 to 1, the population increases.

Hence, the answer is: First option.

If the scale factor of one figure to another one is k, then the ratio of their volumes is equal to:

The volume in cubic inches of the smaller pyramid is 27, while the volume of the bigger pyramid is 343. Then:

Take the cubic root to both members of the equation to isolate k:

Therefore, the scale factor of the smaller pyramid to the larger pyramid, is:

(C) translation 8 units right

given the fuction:

was transformed to obtain

so, the transformation to the patern function was subtract 8

Step 2

when you subtrac a value k to the function´s argument the function is shifted to the rigth, so the answer is

(C) translation 8 units right

I hope this helps you

Let us first get the value of z,

Hence, the value of z is 27°.

Let us now solve for the measure of angle M,

Hence, the value of the measure of angle M is 129°.

First, multiply the price of each item by the number of items to find the total amount of money spent on each:

2 packages of corn for $0.99 each

3 gallons of milk for $2.90 each

A loaf of bread: $1.29

Then, add all the quantities to find the total price for all the purchases:

Substract the total price of the purchases from $20.00 to find the amount of change that Sasha gets back:

Therefore, the amount of money that she gets back, is:

we have the quadratic equation

Solve the quadratic equation

Solve by factoring

Factor x

The values of x are

Answer: B At most 45 cakes

Step-by-step explanation:

Given, 5x + 15 ≤ 240

⇒ x + 3 ≤ 48 [Dividing by 5 on both sides]

⇒ x ≤ 45 [Subtracting 3 from both sides]

that means the bakery makes less than or equal to 45 cakes. the most cakes they can make is 45. So they make at most 45 cakes a day

ANSWER:

(-4, -3)

STEP-BY-STEP EXPLANATION:

We have the following point:

A 180° rotation complies with the following rule:

The point after the rotation is (-4, -3)