Arden has 7/8th yard of ribbon. What is the maximum number of 1/16th yard-long pieces Marilyn can cut from this ribbon?

Step-by-step explanation:

\( = ( {x}^{3} ) { ({x}^{7} )}^{2} \)

\( = {x}^{3} \times {x}^{7 \times 2} \)

\( = {x}^{3} \times {x}^{14} \)

\( = {x}^{3 + 14} \)

\( = {x}^{17} \)

Answer: A

Step-by-step explanation:

Just find 4 on y axis and go up 4. Then look to see where the line is connected

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

x=9; angle measure is 27°.

Step-by-step explanation:

The Vertical Angles Theorem states that angles opposite each other (in an X) are equal. According to this theorem,

3x = 27

After some simple algebra:

x = 9 ^ Division Property of Equality

Answer:

A. x=9;angle measure is 27°

is the right answer

Answer:

r=40b

Step-by-step explanation:

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height  

If we rewrite the given expression :

\(\mathbf{7x^3+3.5x^2}\);

Then we factor we make a similar coefficient  of  the above equation, the  remaining entities left in the parenthesis should be a linear term  with a leading coefficient of 1 to match the expression for the length of the container.

i.e

\(\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}\)

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

Answer:

(-4, 5.5)

Step-by-step explanation:

1. put your Xs and Ys over 2

2. add them together

3. Divide

4. Simplify

5. Turn fraction into decimal

\(m(x.y) \\ m = \frac{x1 + x2}{2} . \: \frac{y1 + y2}{2} \\ m = \: \frac{ - 2 + - 6}{2} . \frac{ - 1 + 12}{2} \\ m = ( - \frac{8}{2} . \frac{11}{2} ) \\ m = ( - 4 \: . \: 5 \frac{1}{2} ) \\ \\ \\ mid = ( - 4 \: \: . \: 5.5)\)

Answer:

The answer should be A

Step-by-step explanation:

Because 1/5k - 2/3j would be -2/3 j with 1/5 k missing which would mean it's the same as if you added it on instead of removing it

Answer:

A

Step-by-step explanation:

Trust me, i promise its correct

(a) the root of the equation is =4.4.(b) x=31pi for x=100 approx.

the root of an equation is said to be that value where the equation gets zero. And the intersection point of two equations is the same value of equations.

The roots of x =tan(x), graph y = x and y = tan(x), and look at the intersection points of the two curves.

a) Find the smallest nonzero positive root of x = tan(x),

after seeing the graph the root of the equation is =4.4.

(The desired root is greater than pi/2).

b) Solve x =tan(x) for the root that is closest to x = 100.

after examining the graph of the function we can see that 31pi for x=100 approximately.

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Answer:

160 i think but not for sure

Answer:

I think its 24 barrels

Step-by-step explanation:

1 hour = 60 minutes

so that means 3 barrels an hour because 20 * 3 = 60

3 barrels filled per hour

And 8 hours taken to fill them all

3 * 8 = 24

Hope this helped :')

(and hopefully its correct)

The binary string 01001010001100 is the number  9496 in decimal format.

This is further explained below.

Generally, The decimals that have the same total number of places after the decimal point are referred to as similar decimals. Equivalent decimals are different representations of the same decimal number that have the same numerical value.

For instance, 3.42 and 6.05 are equivalent to decimals since each number has two positions for the decimal point.

As an example, 0.3 and 0.30 are both considered to be comparable decimals since they both represent the same number.

The supplied binary string has one at positions 3, 4, 8, 10, and 13. (when counted from 0 starting from the unit place).

If there are any zeros in the provided number, the results of those locations will also be zero.

In conclusion, binary string 01001010001100 will be the figure

2^3 + 2^4 + 2^8 +2^10 + 2^13= 9496

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Answer:

D) $154

Step-by-step explanation:

i got it right

Applying the triangle sum theorem, the measures of the angles in △CBD are: m∠CDB = 90°; m∠BCD = 65°; m∠CBD = 25°

In △CAD, they are: m∠A = 65°; m∠ADC = 90°; m∠ACD = 25°

All interior angles of a triangle have a total sum of 180 degrees when added together, according to the triangle sum theorem.

Given:

Measure of angle C = 90 degrees

In △CAD, we have the following angle measures:

m∠A = 65° (given)

m∠ADC = 90° [right angle]

m∠ACD = 180 - 90 - 65 [triangle sum theorem]

m∠ACD = 25°

In △CBD, we have the following angle measures:

m∠CDB = 90° [right angle]

m∠BCD = 90 - m<ACD [complementary angle]

m∠BCD = 90 - 25

m∠BCD = 65°

m∠CBD = 180 - m∠BCD - m∠CDB [triangle sum theorem]

m∠CBD = 180 - 65 - 90

m∠CBD = 25°

In summary, applying the triangle sum theorem, the measures of the angles in △CBD are: m∠CDB = 90°; m∠BCD = 65°; m∠CBD = 25°

In △CAD, they are: m∠A = 65°; m∠ADC = 90°; m∠ACD = 25°

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Answer:  E, A, D, C, B

Step-by-step explanation:

First, we need to get y alone. So we will add 7 to the side of the equation that has the 4y in it.

So the first one will be.

Add 7 to both sides of the equation.

Now the second one is

4y = 25 + 7  Because what you do to one side of the equation, you do to the other. So we add 7 to 25.

Then the 3rd one will be 4y = 32  because 25+7 is equal to 32. But we still have that 4y on the other side of the equation. So the next equation is 4y = 32.

The second to last step is Divide both sides by 4  because thats

how you isolate y. So once you divide both sides by 4. You will get 8. Leading you into the next and final step.

Y = 8

And thats how you do it!

Answer:

30.2%

Step-by-step explanation:

Use the percent error formula:

| (experimental - actual) / actual | x 100

Plug in the experimental and actual values:

| (experimental - actual) / actual | x 100

| (56 - 43 ) / 43 | x 100

(13 / 43) x 100

= 30.2

So, the percent error is 30.2%

The limit does not exist.

In order for such a limit to occur, the fraction \(\frac{x^{2} }{x^{2} +y^{2} }\) must be comparable to the same value \(L\), regardless of the way we take to get there \((0,0)\).

Try approaching \((0,0)\) along the x-axis.

This means setting \(y=0\) and finding the limit \(lim_{x-0} \frac{x^{2} }{x^{2} +y^{2} }\).

We obtain:

\(lim_{x-0,y=0}\frac{x^{2} }{x^{2} +y^{2} } =lim_{y=0}}\frac{x^{2} }{x^{2} +0 }\\=lim_{x-0}} \frac{x^{2} }{x^{2} } \\\\=lim_{x-0}}1\\=1\)

Now evaluate approaching \((0,0)\) along the y-axis.

This means setting \(x=0\) and finding the limit \(lim_{y-0} \frac{x^{2} }{x^{2} +y^{2} }\).

\(lim_{y-0,x-0} \frac{x^{2} }{x^{2} +y^{2} } =lim_{y-0} \frac{0}{0+y^{2} } \\=lim_{y-0} \frac{0}{y^{2} } \\=lim_{y-0} 0\\=0\)

Approaching the origin via these two methods results in distinct limits.

\(lim_{x-0,y-0} \frac{x^{2} }{x^{2} +y^{2} }\) ≠ \(lim_{y-0,x-0}\frac{x^{2} }{x^{2} +y^{2} }\)

Therefore the limit does not exist.

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The correct question is given below:

Find the limit, if it exists, or show that the limit does not exist.

\(lim_{(x,y) -(0,0)} \frac{x^{2} }{x^{2} +y^{2} }\)

It can be affirmed that the area of the rectangle is equal to 18 square units because the equation that models the situation, a² + 7a = 18, represents the relationship between the dimensions of the rectangle and its area. By solving for a in the equation.

we can find the length and width of the rectangle, and then use those values to calculate its area . Given that the area of the rectangle is equal to 18 square units and the equation that models the situation is a² + 7a = 18, we can determine the relationship between the dimensions of the rectangle and its area. To understand why this is the case, we need to recall that the area of a rectangle is calculated as length times width.

Let's assume that the length of the rectangle is a units and the width is b units. Then, we can write the equation A = ab to represent the area of the rectangle. Since we know that the area of the rectangle is 18 square units, we can substitute this value for A in the equation, giving us 18 = ab. However, we still don't know the values of a and b, so we need another equation to solve for them. This is where the given equation, a² + 7a = 18, comes in. This equation represents the relationship between the length and width of the rectangle. To see why, let's rearrange the equation to get a quadratic in standard form: a² + 7a - 18 = 0.Then, we can factor the quadratic to get (a + 9)(a - 2) = 0. This tells us that a must be either -9 or 2, but since length cannot be negative, we know that

a = 2. We can then use this value to find the width of the rectangle, which is 9/2 units. Therefore, the dimensions of the rectangle are 2 units by 9/2 units, and its area is 2 x 9/2 = 9 square units. More generally, we can say that the equation a² + 7a = 18 represents a quadratic relationship between the dimensions of a rectangle and its area. By solving for a, we can find the length and width of the rectangle, and then use those values to calculate its area.

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Answer:

21

Step-by-step explanation:

21

Answer:

(2x + 14)° + (7x + 13)° = 180°

(2x + 14)° = 48°

(7x + 13)° = 132°

All 3 statements are true

Step-by-step explanation:

Answer:

20 ft by 12 ft

Step-by-step explanation:

(10 in x 24) / 12 ft = (240 in / 12 ft) = 20 ft

(6 in x 24) / 12 ft = (144 in / 12 ft) = 12 ft

The coordinates of point P along the directed line segment AB is (8, 10).

The coordinates of point P along the directed line segment AB so that AP to PB is the given ratio 1: 4 is calculated as follows;

We will use the following formula;

P(x, y) = ((mx₂) + (nx₁))/(m + n), ((my₂) + (ny₁))/(m + n)

Where;

The coordinates of point P along the directed line segment AB is;

Px = ( 1 x 16   +  4x6 ) / (1 + 4) = 8

Py = ( 1 x 14  +  4 x 9) / (1 + 4) = 10

(Px, Py) = (8, 10)

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Answer:

By substituting the values of m and n into the expression, 3(4)2 - 4(18) +6= -42

Answer:

=205.2m

Step-by-step explanation:

808.4÷8.6=94

94×2=188

8.6×2=17.2

188+17.2=205.2

=205.2m

Answer:

204.8m

Step-by-step explanation:

808.4m² ÷ 8.6m = 94m

94m + 8.6m + 94m + 8.6m = 204.8m

Answer:

Yes

Step-by-step explanation:

They would be perpendicular

I used the site, desmos to graph them.

Answer:

1- 5xy³√5y

2- 2xy²∛3y²

Step-by-step explanation:

√125x²y^7=

√25*5x²y^6y

5xy³√5y

2) ∛24x³y^8=

∛2³*3x³y^8=

2xy²∛3y²

Answer:

Step-by-step explanation:

Answer:

$2.90 %Step-by-step explanation:

because if you round it it would be close to 90 and if you mutiply 2 x 2 =4 x 89

The depth of water in tank A is modeled by a differentiable and increasing function h.

This means that the function h describes how the depth of water changes as time passes.

The fact that it is differentiable means that the function has a well-defined slope at every point, which indicates how quickly the depth is changing. This means that the function is continuous and smooth, with no sharp turns or corners.
Furthermore, the fact that the function is increasing means that the depth is always getting higher over time.

This makes sense since water is constantly being added to the tank.

Hence, the depth of water in tank A is described by a differentiable and increasing function h, which means that the function has a well-defined slope at every point and that the depth is always getting higher over time.

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