The volume of a rectangular prism is 768 ft3. What is the volume of the same shape if the width is changed by a scale factor of 1/3?

A third-degree polynomial in standard form is y = 3x³ + 2x² + 5x - 6

The closure property as it relates to addition of polynomials is that addition of polynomial gives polynomial

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

A polynomial

A polynomial can be represented as

y = axⁿ + ...... + c

Where n is the degree of the polynomial

For a third degree, we have

n = 3

So, an instance of the polynomial is

y = 3x³ + 2x² + 5x - 6

It is in standard form, because the exponents are in decreasing order from 3

The closure property states that "when something is closed, the output will be the same type of object as the inputs"

In this case, it means that when polynomials are added, the result is a polynomial

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Using the z-score a randomly selected Endure All battery has a 10.56% chance of lasting more than 550 hours.

How closely a value relates to the mean of a set of values is measured using a Z-score.

Z-score is calculated using standard deviations from the mean.

When a data point's Z-score is 0, it indicates that its entire score is equal to the mean score.

So, how far the raw score deviates from the mean is determined using the Z score.

These steps are used to determine the Z score:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

Using the normal distribution graph as a guide:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, using the z-score a randomly selected Endure All battery has a 10.56% chance of lasting more than 550 hours.

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Answer:

answer is just a-5

Step-by-step explanation:

its is a-5 without absolute value

Answer:

$7

Step-by-step explanation:

JANET:

140 * 0.7 = 98

MIRIAM:

140 * 0.75 = 105

105-98=7

Answer:

6

Step-by-step explanation:

Divide 9 by 1.5 to find the scale factor:

9/1.5

= 6

So, the scale factor from the website to real life is 6

2 to the power of 4 is 16.

2^4 = (2 x 2 x 2 x 2) = 16

2 to the power of 4 is 16.

The answer to 2 to the power of 4 is 16. This means that 2 is multiplied by itself 4 times. To calculate this, it is easiest to start with the base number, 2. Then, multiply 2 by itself 3 more times. The result is 2 multiplied by 2 multiplied by 2 multiplied by 2, or 2 x 2 x 2 x 2, which equals 16. Therefore, 2 to the power of 4 is equal to 16.

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Answer:

DE=24

Step-by-step explanation:

We can see clearly that the two angles, angle A and angle F are congruent with one another, and since they are, we know the two triangles are shifted in a growth, not in an adjustment of angles. the hypotenuse doesnt matter, what does matter is the 5 and the 10, clearing showly the transition of Triangle ABC to Triangle DEF is times 2. Therefore, 12 times 2 is 24.

Answer:

Step-by-step explanation:

segment DE is what we want to find

notice that the two triangles are similar, similar here just means one is an exact copy of the other, except for scale.  One is an exact scale copy of the other.  sooooo  we can make some scaling of one side of one.. to the same side of the other.    here we want DE so .. see that BC is the same side on the other , smaller triangle?

now notice AB on the small triangle and FE on the bigger one... sooo just by observation we can see, that the bigger triangle is 2X bigger than the small one  ,  b/c  5 * 2 = 10  .  5 is the AB side of the smaller triangel and 10 is the same side but on the bigger triangle and 2 is our scaling factor.. got it?

So do the same on BC to find DE

12 * 2 = DE

24 = DE

see?  :)

Answer: the answer is 4

Step-by-step explanation: 3x4 is 12 so 12-(2+4)=6

Answer:

Step-by-step explanation:

The slopes are:

Ordering from the greatest to the least by absolute value:

Correct choice is:

Answer:

slopes are 2,-4,-1/2,3/4

Step-by-step explanation:

In order would be B=-4,A=2,C=3/4,D=-1/2

Hope this helps

If I read this right,

you put the numbers where the letters go

2 (8) (-4)

since they are in parenthesis, you multiply them.

= -64

The slope is \(-2\).

(Please comment if you want explanation)

Ok, My answer is marked wrong and I don't know why. Ok, kindakait asked for the slope of the line in the graph.

To find the slope of the line is \(\frac{∆y}{∆x} \\\) or so they call \(\frac{rise}{run} \\\).

We can clearly see that to be at (-2,1) from (-4,5). You have to rise by -4 units and run by 2 units. Therefor:

\(m = \frac{rise}{run} \\ m = \frac{-4}{2} \\ m = -2\).

If you are not satisfied yet. Let's try another points. (0,-3) and (1,-5) and this is obvious by just eyeballing it.

\(m = \frac{rise}{run} \\ m = \frac{-2}{1} \\ m = -2\).

Answer:

slope is -4

Step-by-step explanation:

(-1, 1) (0, -3)

(-3 - 1)/(0 + 1) = -4/1 = -4

y + 3 = -4(x - 0)

y + 3 = -4x + 0

y = -4x - 3

\( \large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}\)

\( \large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}\)

\( \large{ \tt{❃ \: SP \: with \: VAT= SP + VAT\% \: of \: SP}}\)

\( \large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}\)

\( \large{ \tt{⇢ \: 4068 = SP + \frac{13}{100} \: sp}}\)

\( \large{ \tt{⇢ \: 4068 = \frac{100 \: \: SP + 13 \: SP}{100} }}\)

\( \large{ \tt{⇢ \: 4068 = \frac{113 \: SP}{100} }}\)

\( \large{ \tt{⇢ \: 113 \: SP = 406800}}\)

\( \large{ \tt{⇢ \: SP = \frac{406800}{113} }}\)

\( \large{ \tt{⇢ \: SP = 3600}}\)

\( \large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}\)

\( \large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}\)

\( \large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}\)

\( \large{ \tt{⇾ \: 3600 = x - \frac{10}{100} } \: x}\)

\( \large{ \tt{⇾ \: 3600 = \frac{100x - 10x}{100} }}\)

\( \large{ \tt{⇾ \: 3600 = \frac{90x}{100} }}\)

\( \large{ \tt{⇾ \: 90x = 360000}}\)

\( \large{ \tt{⇾ \: x = \frac{360000}{90} }}\)

\( \large{ \tt{⇾ \: x = Rs \: 4000}}\)

\( \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \boxed {\tt {\: Rs \: 4000}}}}}}\)

Answer:

-4

Step-by-step explanation:

Since this has an equals sign and in both sides it can be divisible. So you take 5 and divide it on both sides to get -4

Answer:

Number of people with polio.

Ice cream sales.

Seems like a weird thing to be correlated but I saw a graph with this example and people used to think that ice cream was the reason for polio. It's obvious there's no causation!

hope this helps!!

The given information is:

- The area of the sector of the circle is 31.2 cm^2.

- The exterior of the sector angle is 256°.

The area of the sector is given by the formula:

Where theta is the sector angle and r is the radius of the circle.

The whole circle measures 360°, so the sector angle can be found as follows:

Now, replace theta and the area value in the formula to solve for r:

The radius of the circle is 5.9 cm.

Answer:

(-1, 5), (2, -1), (0, 3)

Answer:

34-36 best answer because im am really smart

Answer:

21

20.7

20.23

20.22

20.102

20.005

Step-by-step explanation:

hope this helps!

Answer:

x = 1, y = 1

Step-by-step explanation:

plug y = 2x - 1 into the equation x + y = 2:

\(x + (2x - 1) = 2\\3x - 1 = 2\\3x = 3\\x = 1\)

plug that into the equation y = 2x - 1

\(y = 2*1-1\\y=2-1\\y=1\)

Answer: 3 4/9 and 4 19/29

Step-by-step explanation: Mixed fractions can be converted into improper fractions. Example: 3 1/2=

3×2+1= 7/2

So, 3 4/9= 3×9+4= 31/9

4 19/29= 4×29+19= 135/29

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An improper fraction is one in which the numerator is bigger than the denominator, which means the value of the fraction is more than ' 1 ' .

Bob petered out after only 3/8 of an hour. This number is less than ' 1 ', so if it's left in the form of hours, it can't be an improper fraction.  If Bob wants his effort to look more impressive, he might try to describe his performance as 22.5 minutes. THAT number could be written as an improper fraction, (45/2 minutes), but somebody would be sure to notice his trick, and they would laugh at him.

Tina and Hadley both ran longer than 1 hour, so both of them could write their times directly as improper fractions, without any deceptive monkey business.

Tina . . . 3-4/9 hours . . . 31/9 hours

Hadley . . . 4-19/29 hours . . . 135/29 hours    

Step-by-step explanation:

let's multiply the first equation by 2 and the second equation by -3, and then we add them together :

26x - 12y = 4

-9x +12y = 30

-------------------------

17x 0 = 34

x = 2

and now we use one of the original equations to solve for y :

3×2 - 4y = -10

6 - 4y = -10

-4y = -16

y = 4

the solution is (2, 4).

The greatest possible value of $xy$ is $17\times5=\boxed{85}$. To get the greatest possible value of $xy$, we need to maximize the values of $x$ and $y$. We can start by rearranging the equation $5x+3y=100$ to solve for one of the variables in terms of the other:

$5x+3y=100 \implies 5x=100-3y \implies x=\frac{100-3y}{5}$
Since $x$ must be a positive integer, $100-3y$ must be divisible by 5. The largest multiple of 3 less than 100 is 99, so we can try values of $y$ starting from 1 and working up to 33 (because if $y\geq34$, then $5x\leq0$, which is not positive).
When $y=1$, we get $x=\frac{100-3}{5} = 19.4$, which is not an integer.
When $y=2$, we get $x=\frac{100-6}{5} = 18.8$, which is also not an integer.
When $y=3$, we get $x=\frac{100-9}{5} = 18.2$, still not an integer.
When $y=4$, we get $x=\frac{100-12}{5} = 17.6$, still not an integer.
When $y=5$, we get $x=\frac{100-15}{5} = 17$, which is an integer.
From here, we can continue to increase $y$ and see that the values of $x$ will only decrease. Thus, the greatest possible value of $x$ is 17 and the corresponding value of $y$ is 5.

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The area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4 is π/32 square units.

To explain how we find the area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4, we need to use polar coordinates and integrate.

The equation r = θ² represents a curve in polar coordinates. In this case, the curve is a parabola. The given sector 0 ≤ θ ≤ π/4 specifies the range of θ values over which we need to find the area.

To find the area of the region, we integrate the function r(θ) with respect to θ over the given range. The formula for finding the area in polar coordinates is:

A = ∫[θ₁,θ₂] (1/2) r(θ)² dθ

In this case, we have:

r(θ) = θ²

θ₁ = 0

θ₂ = π/4

Substituting these values into the formula, we have:

A = ∫[0,π/4] (1/2) (θ²)² dθ

Simplifying the expression:

A = (1/2) ∫[0,π/4] θ⁴ dθ

Integrating θ⁴ with respect to θ gives:

A = (1/2) [(θ⁵)/5] [0,π/4]

Plugging in the limits of integration:

A = (1/2) [(π/4)⁵/5 - (0)⁵/5]

Simplifying further:

A = (1/2) [(π⁵/4⁵)/5]

A = (1/2) (π⁵/4⁵)/5

A = π/32

Therefore, the area of the region bounded by the curve r = θ² in the sector 0 ≤ θ ≤ π/4 is π/32 square units.

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The expression that is used to represent "the product of 3/4 and c" is 3/4c.

The term expression ins math is defined as a sentence with a minimum of two numbers or variables and at least one math operation.

Here we have given the statement "the product of 3/4 and c".

Now, we need to find the suitable expression for this one.

While we looking into the given statement we have identified that the following are presented

3/4 refers number also known as constant

c refers the variable

The term product refers the mathematical operation that has been done between number and variable.

So, as per the standard form of expression is can be written as.

=> 3/4 x c

=> 3/4 c

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Using the multiplication and addition operations, if Fabian leaves a 15% tip, his meal plus the tip, before tax, is $40.25.

Multiplication and addition operations are two of the four basic mathematical operations.

Multiplication involves the use of multiplicand, multiplier, multiplication operand, equal symbol, and product.

The addition operation involves using the two addends, the equal sign, and the sum.

Dinner cost before tip and tax = $35

Tip = 15%

Total cost before tax = 115% (100 + 15)

Dinner cost after tip = $40.25 ($35 x 1.15)

Thus, mathematically, Fabian will spend $40.25 for the dinner before tax.

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The statement AB + BC = AC is true according to the segment addition postulate.

The segment addition postulate is a geometry axiom that states that a line segment, divided into a number of smaller segments, has the length given by the sum of the lengths of the segments.

The smaller segments in this problem are given as follows:

AB and BC.

The large segment is given as follows:

AC.

Hence the equation is given as follows:

AB + BC = AC.

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Answer:

12°

Step-by-step explanation:

The angles of the shape should all add to 360°.

We divide this by 30, because the shape has 30 angles.

360° ÷ 30 = 12°.

This is the measure of each angle, and also the degree of rotation. The shape will look like the original figure each time it is rotated 12°.

Answer:   (4b, -3a)

Reason:

When reflecting over the line y = x, we swap the positions of the x and y coordinates.

The reflection rule is \((\text{x},\text{y}) \to (\text{y},\text{x})\)

As an example: \((2,3) \to (3,2)\)