What is the product?
(3x-6)(2x2 -7x+1)

Answer: 30 inches

Step-by-step explanation:

We know that the formula for calculate the volume of a cube is:

[tex]V=s^3[/tex]

Where "s" is the length of each side.

Since the volume of each cube-shaped box is 125 cubic inches, we can find "s":

[tex]125\ in^3=s^3\\\\\sqrt[3]{125\ in^3}=s\\\\s=5\ in[/tex]

We know that  the display has six layers of boxes, then , to calculate the height of the display, we can multiply the value of "s" obtained before by 6. Then:

[tex]height=(5\ in)(6)=30\ in[/tex]

Answer:

Step-by-step explanation:

V=8^3

30 inches answer

The entry in row 1, column 1 of [tex]\mathbf{AB}[/tex] is

[tex]\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}5\\6\end{bmatrix}=2\cdot5+4\cdot6=34[/tex]

(i.e. the dot product of row 1 of [tex]\mathbf A[/tex] and column 1 of [tex]\mathbf B[/tex])

The entry in row 1, column 2 of [tex]\mathbf{AB}[/tex] is

[tex]\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}-9\\-4\end{bmatrix}=2\cdot(-9)+4\cdot(-4)=-34[/tex]

The second option is the correct answer.

Answer:

B and C are geometric sequences.

Step-by-step explanation:

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

A is not a geometric sequence because the number 1 is repeated twice in the sequence.

B is a sequence because the sequence is being multiplied by 0.5 each time.

C is a geometric sequence because it is being multiplied by 1/3 each time.

D is not a geometric sequence because it is not being multiplied each time - it is increasing by +5 (arithmetic progression - not geometric).

Hope this helps!

The following are geometric sequences

1. 10,5, 2.5, 1.25, 0.625, 0.3125

2. -9, -3, -1, -1/3, -1/9, -1/27

The correct option is (B) & (C)

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

1. A is not a geometric sequence because the '1'  is repeated two times in the sequence.

2. B is a geometric sequence because the sequence is being multiplied by 0.5 each time.

5/10=0.5

2.5/5=0.5

1.25/2.5=0.5

0.625/1.25=0.5

3. C is a geometric sequence because it is being multiplied by 1/3 each time.

-3/-9=1/3

-1/-3=1/3

-1/3/-1= 1/3

-1/9/-1/3= 1/3

4. D is not a geometric sequence because the multiplicative factor is not same.

Hence, 10,5, 2.5, 1.25, 0.625, 0.3125 and -9, -3, -1, -1/3, -1/9, -1/27 is geometric sequence.

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Answer: 2

Step-by-step explanation:

[tex]\text{If the angle is in Quadrant II and sin A }=\dfrac{4}{5}, \text{then cos A }=-\dfrac{3}{5}.\\use\ Pythagorean\ Theorem: x^2+4^2=5^2\implies x=3,\quad cos =\dfrac{x}{h}\\\\\\tan\bigg(\dfrac{A}{2}\bigg)=\dfrac{1-cosA}{sinA}\\\\\\.\qquad \qquad =\dfrac{1-(-\dfrac{3}{5})}{\dfrac{4}{5}}\\\\\\.\qquad \qquad =\dfrac{\dfrac{8}{5}}{\dfrac{4}{5}}\implies \dfrac{8}{5}\div\dfrac{4}{5}\implies \dfrac{8}{5}\times\dfrac{5}{4}=\dfrac{8}{4}=\large\boxed{2}[/tex]

7(x + 2) = 7x - 10

7x + 14 = 7x - 10

let's recall the slope-intercept form, now, both equations on each side of the equals sign have the same slope, of 7, that is a flag that both equations are parallel.

their y-intercept is 14 and -10 respectively, however that just means that one is above the other, but since they're parallel they will never touch each other and any solutions is where the graphs intersect, and for parallel lines that never happens, thus no solutions.

Answer:

Translation, five units to the left.

Step-by-step explanation:

Point A is moved to the left to become A'.

Similarly, Points M, H, and T have moved to the left to become M', H', and T', respectively.

This type of transformation, in which all the points in a figure move in the same direction and by the same amount, is called a translation (moving sideways).

Each point has moved five units to the left.

Step-by-step explanation:

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The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The graph is given below.

The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.

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Among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.

The statement that is true of the domain

Given:

h(8) = 19

h(-2) = 2

Domain: -3 ≤ x ≤ 11

Range: 1 ≤ h(x) ≤ 25

A. h(2) = 16 - This value doesn't conflict with the range (1 ≤ h(x) ≤ 25) and fits within the given function's range and domain. It's a possible value for h(2) based on the constraints given.

B. h(8) = 21 - This contradicts the information provided (h(8) = 19).

C. f(13) = 18 - This option refers to a value outside the domain specified for h(x).

D. h(-3) = -1 - This value is outside the range provided for h(x) as the range starts from 1.

So, among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.

Given that a function, h, has a domain of -3≤ x≤ 11 and a range of 1≤ h(x)≤ 25 and that h(8)=19 and h(-2)=2 , select the statement that could be true for h. A h(2)=16 B. h(8)=21 C. f(13)=18 D. h(-3)=-1

The approximate length of its diagonal is:

                                    19.8 cm

We know that for any square with a side length of s units.

The diagonal of a square has length: [tex]\sqrt{2}s\ units[/tex]

Also, the perimeter of a square is the sum of all the side lengths of a square.

i.e.

[tex]Perimeter=4s[/tex]

Here we are given:

Perimeter of square= 56 cm.

i.e.

[tex]4s=56\\\\i.e.\\\\s=\dfrac{56}{4}\\\\i.e.\\\\s=14\ cm[/tex]

Hence, the diagonal of the square has length:

[tex]Diagonal=14\sqrt{2}\ units\\\\i.e.\\\\Diagonal=14\times 1.414\\\\i.e.\\\\Diagonal=19.796\ cm[/tex]

which is approximately equal to:  19.8 cm

Answer:

d.) on edg.

Step-by-step explanation:

just did it

good luck!

Answer:

(4 days) is the homogeneous mixture

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

Explanation:

Start by sorting the values from smallest to largest. This is known as ascending order. The original set {3, 5, 7, 4, 3, 1} will sort to {1, 3, 3, 4, 5, 7}

After the values are sorted, we will look at the middle most value to find the median. Because there are six items in this data set, the median number is between slot 3 and slot 4. Note how the sorted data set breaks down into

{1, 3, 3} and {4, 5, 7}

we see that 3 and 4 are tied for the middle most, so the median must be 3.5 which is halfway between 3 and 4.

Hello There!

Let’s first remember that the median is the middle number in an ordered set of data.

Our data set is

1,3,3,4,5,7

Since there are two numbers in the middle, we have to add up our two numbers in the middle which are 4 and 3 so together that gives us a sum of 7 and then we divide by 2 which we get a quotient of 3.5.

Answer:

the answer is -8

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

4[tex]\frac{2}{3}[/tex] can be written as [tex]\frac{14}{3}[/tex]

number of [tex]\frac{2}{3}[/tex] portions = [tex]\frac{14}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]

= [tex]\frac{14}{3}[/tex] x  [tex]\frac{3}{2}[/tex]

= [tex]\frac{14}{2}[/tex] = 7

Lily can get 7 portions of 2/3 ounces each from the 4 2/3 ounces of saffron she bought at the Union Market.

To calculate the number of 2/3 ounce portions that Lily can get from the 4 2/3 ounces of saffron she bought, we need to divide the total weight of saffron by the weight per portion. We can convert 4 2/3 to an improper fraction, which becomes 14/3. Next, we divide 14/3 by 2/3 to get the number of portions. Dividing fractions involves multiplying the first fraction by the reciprocal of the second. So, 14/3 ÷ 2/3 = 14/3 * 3/2 = (14 * 3) / (3 * 2) = 42/6 = 7 portions.

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Answer:

J 36

Step-by-step explanation:

AB = 9, BC = 12, and m∠B = 90°.  Since this is a right triangle, we can use Pythagorean theorem to find AC.

c² = a² + b²

c² = 9² + 12²

c = 15

So the perimeter is:

P = 9 + 12 + 15

P = 36

Answer:

The sum of the exterior angles is 360 degrees.

Answer:

Fully simplified it equals 4x^2 -21x -18

Explanation:

-You need to distribute the x to all of the terms in the second binomial and you also need to distribute -6 to all the terms in the second binommial giving you 4x^2 +3x - 24 -18

-You combine like terms to simplify and your answer is 4x^2 -21x -18

Answer: 4x² -21x -18

Step-by-step explanation: a p e x

Answer:

Step-by-step explanation:

Set up two equations:

2y >/=x

X+y=36

Solve by substituting x for 2y.

This is using the method of substitution.

Answer: $50 per year, y = 50x + 1200

Step-by-step explanation:

The rate of change is the slope of the two coordinates (0, 1200) & (3, 1350). Note that 2005 is represented as 0 years since the company started and 2008 represents 3 years since the company started.  

Use the slope formula: [tex]\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{1350-1200}{3-0}=\dfrac{150}{3}=\$50 \text{ per year}[/tex]

To write the equation in slope-intercept form, input a point (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y

y - 1200 = 50(x - 0)

y - 1200 = 50x

          y = 50x + 1200 ; where x represents the number of years the

                                      company has been in business.

Yes. Any number has exponent 1 we just don't write it. Take for example number 4.

[tex]4\Longleftrightarrow4^{1}[/tex]

Which means every number has exponential behaviour.

The answer is Yes.

Hope this helps.

r3t40

[tex]

2x^2-7x+6=(2x-6)(x-1)=\boxed{2(x-3)(x-1)}

[/tex]

Hope this helps.

r3t40

Answer:where is the question for the property

Step-by-step explanation:

Answer:

A) 64π units

Step-by-step explanation:

SA= 4πr squared

4*π*4 squared

4 squared = 16

16*4=64

64π

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

Here we are given that the radius of the sphere is given as

[tex]SA=4\pi\cdotr^{2}[/tex]

here we are given that the radius of the sphere r=4 . Hence in order to find the Surface Area of the sphere we substitute the value of r in the formula...

[tex]SA=4\pi\cdot4^{2}[/tex]

[tex]SA=4\pi\cdot16[/tex]

[tex]SA=64\pi[/tex]

Hence the surface area of the sphere is [tex]64\pi unit square[/tex]

Answer:

Step-by-step explanation:

A.) 2a+4b-c:  Replacing a with 2, b with 3 and c with 4, we get:  

    2(2) + 4(3) - (4) = 4 + 12 - 4 = 12

B.) 6(a+c)-b:  Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.

The work inside parentheses should be done first, resulting in 6(6) - 3.

This comes out to 33.

Answer:

Reflection against the y-axis

Step-by-step explanation:

The table of values that represents the equation y = 7x - 3 is:

x    y

-2  -17

-1   -10

0    -3

1      4

2     11

Option D is the correct answer.

We have,

Equation:

y = 7x - 3

Now,

Substitute x = -2, -1, 0, 1, 2 on the equation.

So,

y = 7 x (-2) - 3 = -14 - 3 = -17

y = 7 x (-1) - 3 = -7 - 3 = - 10

y = 7 x 0 - 3 = -3

y = 7 x 1 - 3 = 7 - 3 = 4

y = 7 x 2 - 3 = 14 - 3 = 11

Thus,

The table of values that represents the equation y = 7x - 3 is:

x    y

-2  -17

-1   -10

0    -3

1      4

2     11

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Answer:

Step-by-step explanation:

This is called the shadow method to make an indirect measurement of an specific highness. For example, indirect measurement to calculate a building highness.

Answer:

$39.36

Step-by-step explanation:

The first sale we saw, which was 20% off, needs to be applied first as the second discount is additional. With that being said, we need to multiply 82 times 80%. This is because we removed 20% of the standard 100% amount and we are left with 80%. To convert this, keep in mind 100% is equal to 1. So 80% is equal to .80 with this logic. So 82x0.8=65.6. Now we need to take 40% off of the modified price 65.6. By converting 40% off is equal to 0.60(keyword off). Now 65.6x0.60=39.36. The final price is 39.36

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Kyndal can buy the lamp for $39.36 after a 20% and an additional 40% discount on the original price of $82.

To solve this problem, we need to calculate 20% of $82, then subtract that from $82 to find the sale price. Then, we need to calculate 40% of that sale price and subtract it to find the final price. Let's break it down:

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Final answer:

Linda received $20 from each of her 5 relatives, as found by subtracting her original amount from the final amount and then dividing by the number of relatives.

Explanation:

The student has asked how much money Linda received from each relative. Linda started with $15 in her coin bank and ended up with $115 after receiving equal amounts from 5 relatives. To find out how much money Linda received from each relative, you need to perform a simple subtraction to find the total amount of birthday money received, and then divide that number by 5.

Subtract the starting amount of $15 from the ending amount of $115 to find the total amount received.
Total received = $115 - $15 = $100

Divide the total received by the number of relatives to find out how much each relative gave.
Amount per relative = $100 / 5 = $20

Therefore, Linda received $20 from each of her 5 relatives.

Answer:

B)4.5 cubic feet

Step-by-step explanation:

To find the volume of a rectangular prism, we use the formula

V = l*w*h

V = 1.5*3*1

V = 4.5 ft^3