A solid figure is shown. It is a rectangular prism.
3 cm
5 cm
9 cm
What is the volume of the figure?
O A 17 cm
OB. 27 cm
OC. 45 cm
OD. 135 cm
OE 174 cm

Answer:

I don't understand the question.  

Step-by-step explanation:

I don't know how to explore the slope intercept line equation.  

However, 'b' is the y axis intercept (the point where is crosses the y axis and 'm' is the slope of the line.  The 'm' and the 'b' can be positive or negative numbers.  

A positive 'm' is a line that goes 'up' (the y value increases from the left to right) and a negative 'm' is a line that goes 'down' (the y value decreases from left to right).

Answer:

vjfkkfjjkuuoooo99999

Answer:

a

Step-by-step explanation:

5/3 is 1.6666667

8/5 is 1.6

therefore 5/3 > 8/5

The sales tax rate is 10.45 percent.

The area of the first room is 11 x 12 = 132 square feet and the area of the second room is 25 x 13 = 325 square feet.

The cost of the carpet and padding for the first room is 132 x (3.50 + 0.75) = $593.25 and for the second room is 325 x (3.50 + 0.75) = $1294.75.

The total cost of the carpet and padding (before tax) is $593.25 + $1294.75 + $500 = $2388.

Now we can set up an equation to solve for the sales tax. We know that the total cost with tax is $2637.63. So, the equation would be:

Total cost with tax = Total cost before tax + Tax

2637.63 = 2388 + Tax

Tax = 2637.63 - 2388

Tax = $249.63

To find the sales tax rate, we can divide the tax by the total cost before tax.

Tax Rate = Tax / Total cost before tax

Tax Rate = 249.63 / 2388 = 0.1045 or 10.45%

Therefore, the sales tax rate is 10.45 percent.

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Answer:

Step-by-step explanation:

the correct expression is B

13*n+20

where n represents the number of the books

Answer:

55°

Step-by-step explanation:

The angle that is represented with x and the exterior angle with a measure 125° are supplementary angles.

As known the sum of supplementary angles is 180 so the value of x:

180 - 125 = 55 and

x = 55 is the answer to the question.

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

Sqrt (x)

sqrt (x-3)      <====shifted 3 units right

sqrt(x-3)  -7   <====shifted down 7 units

6  sqrt (x-3) - 7   < ==== stretched

Answer:

hope this helps

Step-by-step explanation:

.55×78=42.9

78+42.9

=120.9 round off 121

Answer: 120.9 I believe.

Step-by-step explanation:

55% of 78 is 42.9.

(55 x 78 over 100 = 42.9)

Therefore take 78 + 42.9.

120.9

Given the equation:

if x = 5, we have the following:

therefore, the output is y = 22

The length of the hypotenuse is 7m.

Let the side opposite to 30° be the shortest leg.

The side opposite to 60° is the longest leg.

So, the side opposite to 90° is hypotenuse.

Length of the shortest side is x.

Length of longest side is \(\sqrt{3}x\)

Length of the hypotenuse is 2x.

We know x = 7

So, \(\sqrt{3}(x)=\sqrt{3}(7)\)

Thus, the length of the longer leg is \(\sqrt{3}(7)\) m

Length of hypotenuse = 2x = 2(7) = 14m

\(x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196\)

Taking square root on both sides:

\(2x = \sqrt{196}\)

2x = 14

x = 7

Therefore, the length of the hypotenuse is 7m.

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Answer:

The sequence is increasing by 5 at each step. So, we can write:

a1 = 30

a2 = 30 + 5 = 35

a3 = 30 + 25 = 40

a4 = 30 + 35 = 45

a5 = 30 + 4*5 = 50

We notice that the nth term is given by:

an = 30 + (n-1)5

So, the explicit formula for the nth term is:

an = 25n + 5

Answer:

the 13 ounce one is best to buy

Parent function f(x) = 1/2ˣ will be translated Vertically compress by a factor of 1/3, which gives a function f(x) = 1/2ˣ - 1/3.

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right. The formula is (x, y) (x + 5, y + 3).

Given

Parent function

f(x) = 1/2ˣ

Vertically compress by a factor of 1/3

Translation

f(x) = x - k

f(x) = 1/2ˣ - 1/3

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Answer:

\(\huge\boxed{\sf 18^{-3}}\)

Step-by-step explanation:

\(\displaystyle \frac{18^4}{18^7}\)

So, the expression becomes:

= \(18 ^{4-7}\)

= \(18^{-3}\)

\(\rule[225]{225}{2}\)

Answer:

Count how many numbers you have. If you have an odd number, divide by 2 and round up to get the position of the median number. If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

The range is calculated by subtracting the lowest value from the highest value.
Step-by-step explanation:

hope this helped!

Answer:

It is the number in the middle of a set of numbers arranged in ascending order, it will be easier to find median if the set of given numbers are even if its an odd number, then divide the number by 2.

To find the range subtract the lowest value from the highest value

Step-by-step explanation:

9514 1404 393

Answer:

 2×10¹

Step-by-step explanation:

For division, mantissas divide, and exponents subtract.

Answer:

2*10^1

Step-by-step explanation:

Process

When you divide powers, they can be subtracted -- numerator - denominator in powers

The numbers divide the way you normally would if the question is 6/3 = 2

Numerator power = 3

denominator power = 2

Solution

6*10^3/ 3*10^2 = (6/3) * 10^(3 -2) = 2 * 10^1 = 20

20 = 2 * 10^1

Answer:

b or c i think

Step-by-step explanation:

not for sure just a guess

The dimensions of the piece are l = 8 and b =4.

What are dimensions?

The minimal set of coordinates required to specify any point within a mathematical space is the dimension of that space. Because only one coordinate is required to specify a point on a line, it has a dimension of one.

Here,

Let the length of a rectangular piece of metal = l cm

And the breadth of a rectangular piece of metal = b cm

Perimeter of a rectangular piece of metal = 2(l+b) = 24 cm

Or, l+b = 24/2

Or, l+b = 12 -------- (1)

Area of a rectangular piece of metal = l×b = 32 cm²

Or, l×b = 32 ------- (2)

We know that,

(l - b)² = (l+b)² - 4×l×b

(l - b)² = (12)² - 4×32

(l - b)² = 144 - 128

(l - b)² = 16

(l - b)² = 4

l - b = 4 --------- (3)

Adding equations (1) and (3), we get

l+b+l-b = 12 + 4

2l = 16

l = 8

Now, we put the value of l in equation(1) and we get

8 + b = 12

b =4

Hence, the dimensions of the piece are l = 8 and b =4.

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The solution is : The price per unit is $48, when 30 units are demanded.

Here, we have,

Since we have given that

At price of $12 per unit, the number of units demanded = 40 units

At price of $18 per unit, the number of units demanded = 25 units.

So, the coordinates would be

(40,12) and (25,18)

As we know that x- axis denoted the quantity demanded.

y-axis denoted the price per unit.

So, the slope would be

m = -2/5

So, the equation would be

5y + 2x = 140

So, if 30 units are demanded, the price per unit would be

y = $48

Hence, the price per unit is $48, when 30 units are demanded.

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complete question:

Suppose consumers will demand 40 units of a product when the price is $12 per unit and 25 units when the price is $18 each. Find the demand equation assuming that it is linear. Find the price per unit when 30 units are demanded.

The group of rotations and symmetries of a geometric configuration is the group of isometries.

According to the above paragraph, "the group of rotations and symmetries of the configuration" refers to the group of isometries of a geometric configuration that preserve the configuration itself, without involving any translations. This group consists of rotations about a fixed point and symmetries about a straight line that pass through that point.

This group is formed by combining isometries of the configuration through the operation of composition, and it satisfies certain properties, such as closure, associativity, identity, and inverses. It is a useful tool for studying the symmetries and transformations of the configuration, and it is used in fields such as crystallography and quantum mechanics.

In summary, the group of rotations and symmetries of a geometric configuration is the group of isometries that preserve the configuration and can be composed with each other to obtain new isometries.

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Answer:

\(L(x)=4-x\)

\(L(3.9)=0.1\\L(3.99)=0.01\)

Step-by-step explanation:

The linear approximating polynomial is: \(L(x) = f(a) + f'(a)(x - a)\)

Given: \(f(x) = 4 - x\) at a=0

f(0)=4-0=4

f'(x)=-1, Therefore: f'(a)=-1

Therefore, the linear approximation of f(x) at a=0 is:

\(L(x) = f(0) + f'(a)(x - 0)\\L(x)=4-x\)

We then use our result to approximate 3.9 and 3.99.

\(L(3.9)=4-3.9=0.1\\L(3.99)=4-3.99=0.01\)

Answer:

y = 7

Step-by-step explanation:

First, find the value of x.

\( (12x + 9) + (8x + 11) = 180 \) (linear pair)

Solve for x

\( 12x + 9 + 8x + 11 = 180 \)

Collect like terms

\( 12x + 8x + 9 + 11 = 180 \)

\( 20x + 20 = 180 \)

Subtract 20 from both sides

\( 20x + 20 - 20 = 180 - 20 \)

\( 20x = 160 \)

Divide both sides by 20

\( \frac{20x}{20} = \frac{160}{20} \)

\( x = 8 \)

Thus,

\( (12x + 9) = (14y + 7) \) (vertical angles)

Plug in the value of x, and solve for y

\( 12(8) + 9 = 14y + 7 \)

\( 96 + 9 = 14y + 7 \)

\( 105 = 14y + 7 \)

Subtract 7 from each side

\( 105 - 7 = 14y + 7 - 7 \)

\( 98 = 14y \)

Divide both sides by 14

\( \frac{98}{14} = \frac{14y}{14} \)

\( 7 = y \)

Answer:

√b * ✓b = b (b is the answer to the question)

Answer:

the unit rate is 4mi per minute.

Step-by-step explanation:

if you find the slope between point A and point B, you see that the line rises at 4 mi (distance) per minute (time). thus the unit rate is 4mi per minute. please correct me if I'm wrong, I hope this answer helps.

Answer:

208 cubic units

Step-by-step explanation:

The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:

The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.

Now, let’s calculate the volume of the rectangular prism:

The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160

Now, add up the volumes of the rectangular and triangular prisms:

160 + 48 = 208 cubic units

The statement that is true about quadrilateral QRST is: d. Side TQ has a length of sq rt of 17 units

A quadrilateral is a polygon with four sides and four vertices. The term "quadrilateral" is derived from the Latin words "quadri" meaning "four" and "latus" meaning "side."

Quadrilaterals come in various shapes and sizes, and they can have different angles and side lengths. Some common examples of quadrilaterals include rectangles, squares, parallelograms, trapezoids, and rhombuses.

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The complete question is:

Which statement is true about quadrilateral QRST?

a. Side QR has a length of 5 units.

b. Side RS has a length of sq rt of 40 units.

c. Side ST has a length of 6 units.

d. Side TQ has a length of sq rt of 17 units

The solutions to the given quadratic equation 4x² - 4x - 1 = 0 are x = ( 1 - √2 )/2,  ( 1 +√2 )/2.

A quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the equation in the question;

4x² - 4x - 1 = 0

Compared to the standard form ax² + bx + c = 0

Plug these values into the quadratic formula above.

x = (-b±√(b² - 4ac)) / (2a)

x = (-(-4) ± √((-4)² - ( 4 × 4 × -1 ))) / (2 × 8)

x = ( 4 ± √( 16 - ( -16) ) / (8)

x = ( 4 ± √( 16 + 16) ) / (8)

x = ( 4 ± √( 32) ) / (8)

32 can be written as 4²×2

x = ( 4 ± √( 4²×2 ) ) / (8)

x = ( 4 ± 4√2 ) / (8)

x = ( 1 ± √2 ) / 2

x = ( 1 - √2 )/2,  ( 1 +√2 )/2

Therefore, the solutions to the given quadratic equation 4x² - 4x - 1 = 0 are x = ( 1 - √2 )/2,  ( 1 +√2 )/2.

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Final Answer: \(-12x + 1.5\)

Steps/Reasons/Explanation:

Question: Which expression is equivalent to \(-3(4x - 0.50)?\)

Step 1: Expand by distributing terms.

\(-3\) × \(4x - 3\) × \(-0.50\)

Step 2: Simplify \(-3\) × \(4x\) to \(-12x\).

\(-12x - 3\) × \(-0.50\)

Step 3: Simplify \(3\) × \(-0.50\) to \(-1.5\).

\(-12x - (-1.5)\)

Step 4: Remove parentheses and add.

\(-12x + 1.5\)

~I hope I helped you :)~