If the figure on the left is the base of a right prism that is 8 feet high, how many
sugar cubes that measure 1 foot on a side will the solid hold? What is the
surface area of the prism? Dimensions are in feet. All angles are right angles.

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=29\\ \theta = 99 \end{cases}\implies A=\cfrac{(99)\pi (29)^2}{360} \\\\\\ A=\cfrac{9251\pi }{40}\implies A\approx 726.57~cm^2[/tex]

The value of the expression is 1.64.

The number of times a number is multiplied by itself is referred to as an exponent.

The given expression is (8.2×10⁻³)×(2.0×10²).

Simplify the expression as follows:

(8.2×10⁻³)×(2.0×10²)

=16.4×10⁻³⁺²

= 16.4 × 10⁻¹

= 16.4 × 1/10

= 1.64

Hence, the value of the expression is 1.64.

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The distance between the points is,  15.0.

What is distance between points?

The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors.

The distance between two points in a plane is the length of the line segment separating the two points. Typically, the equation

d=√((x2 - x1)^2 + (y2 - y1)^2) is used to calculate the distance between two points. You can use this formula to get the separation between any two points on an x-y plane or coordinate plane.

The given points are, (7, -4) and (-8, -5).

We have to find the distance between this two points using the formula,

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here,

[tex](x_1, y_1) = (7, -4) \\(x_2, y_2) = (-8, -5)[/tex]

Plug these values in the above formula,

[tex]d = \sqrt{(-8-7)^2+(-5-(-4))^2}\\d = \sqrt{(-15)^2+(-1)^2} \\d = \sqrt{225 + 1}\\ d = \sqrt{226} \\d = 15.03329\\d = 15.0[/tex]

Hence, the distance between given two points is 15.0.

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The linear equation representing the total amount of money Felipe makes every month be

y = x + 1000

Given, Felipe is paid $1,000 every month plus an additional bonus for every tractor he sells, x.

Let the total amount of money be, y

as, felipe gets a fixed amount i.e. $1000 every month.

now, let felipe gets 'x' amount as the additional bonus.

So, the linear equation be,

y = 1000 + x

Hence, the linear equation representing the total amount of money Felipe makes every month be

y = x + 1000

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Answer:y=-6x+34

Step-by-step explanation: I hope this helps

If the end behavior is increasing to the left and increasing to the right, the function must be of an even degree and must have a positive leading coefficient.

Here, we are given a function whose end behavior is increasing to the left and increasing to the right.

This will happen when the degree of the function is even. For example, if we have a quadratic function- a[tex]x^{2}[/tex] + bx + c, the graph of the given function will either be increasing to the left and increasing to the right or decreasing to the left and decreasing to the right.

Whether it is increasing or decreasing will depend on the leading coefficient or the coefficient of the highest power of the independent variable.

If the leading coefficient is positive, the end behavior will be increasing, whereas if its negative, it'll be decreasing.

Thus, If the end behavior is increasing to the left and increasing to the right, the function must be of an even degree and must have a positive leading coefficient.

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Answer:

1 and c or 3 I´m not sure what the third angle labeled is

Step-by-step explanation:

The reason why is because they are corresponding angles which makes them equal to each other.

Hope this helped

Answer:

below

Step-by-step explanation:

Domain is the set of all x values a function can have

 this one goes from    - inf to the asymtope at x = 2

(-∞, 2)     domain

range is the y values the function can have

   looks like 0   to - inf

(- ∞, 0]       ( but it COULD be  ( -∞, 0)    <===cannot tell from graph)

The number of hour Jackon worked washing car last week = 8 hours and no . of hours he spent on landcaping = 6 hours .

Let x be no . of hours spent washing car and y be no . of hours spent in landcaping .

According to question ,

x + y = 14                         ....... eqn ( 1 )

( 10 * x ) + ( 12 * y ) = 152

10 x + 12 y = 152                     ...... eqn ( 2 )

Solving linear eqn in 2 variable

Mult . eqn ( 1 ) by 10 ,

10 x + 10 y = 140                           ....... eqn ( 3 )

Subtracting eqn ( 2 ) from eqn ( 3 ) we get ,

( 10 x + 10 y ) - ( 10 x + 12 y ) = 140 - 152

- 2 y = - 12

y = 6

Substituting value of y in eqn ( 1 )

x = 8

Hence , the no . of hour Jackon worked washing car last week = 8 hours and no . of hours he spent on landcaping = 6 hours .

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Answer:12.5 pieces

Step-by-step explanation:2/5 as a decimal is .4.      

5/.4=12.5

Answer:

Step-by-step explanation:

32,54,52

Answer:

a) 3⁶ • 5⁶

Step-by-step explanation:

Given expression,

→ (3 • 5)⁶

Let's simplify the expression,

→ (3 • 5)⁶

→ 3⁶ • 5⁶

Hence, the answer is 3⁶ • 5⁶.

Answer:

D. 9

Step-by-step explanation:

here you go

this is what my teacher gave me...

please mark brainliest...

Answer:  f=15h+200

Step-by-step explanation:

h=hours
15$ and hour
mutiply hours and dollars add base pay
f for total money made :)

A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for every cup of flour?

2/5 = 0.4

so there is 0.4 cups of sugar used for every one cup of flour.

Answer:

2

Step-by-step explanation:

The density of the drink is approximately 1.04 g/cm³.

Density is the ratio of mass and volume.

density = mass/volume

To work out the density of the drink, you will need to calculate the total mass of the drink and then divide it by the volume of the drink.

First, you can calculate the mass of the grape juice by multiplying the density of grape juice by the volume of grape juice:

Mass of grape juice = Density of grape juice x Volume of grape juice

= 1.07 g/cm³ * 35 cm³

= 37.45 grams

Then, you can calculate the mass of the fruit syrup in the same way:

Mass of fruit syrup = Density of fruit syrup x Volume of fruit syrup

= 1.6 g/cm³ x 25 cm³

= 40 grams

Finally, you can calculate the mass of the carbonated water in the same way:

Mass of carbonated water = Density of carbonated water x Volume of carbonated water

= 0.99 g/cm³ * 310 cm³

= 308.9 grams

To find the total mass of the drink, you can add the mass of the grape juice, the mass of the fruit syrup, and the mass of the carbonated water:

Total mass of drink = 37.45 grams + 40 grams + 308.9 grams

= 386.35 grams

To find the density of the drink, you can divide the total mass of the drink by the volume of the drink:

The density of drink = Total mass of drink / Volume of drink

= 386.35 grams / 370 cm³

= 1.04 g/cm³

Therefore, the density of the drink is approximately 1.04 g/cm³.

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This proves that the sum of 1/2n(n+1) + 1/2(n+1)(n+2) is always a square number.

When a number is multiplied by itself, the result is a square number. As an illustration, 25 is a square number as it is composed of 5 groups of 5, or 5 x 5. A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number as it equals 32 and is represented by the symbols 3.

Here,

Find the sum:

=1/2n(n+1) + 1/2(n+1)(n+2)

=1/2(n² + n) + 1/2(n² + 3n + 2)

=1/2(n² + n + n² + 3n + 2)

=1/2(2n² + 4n + 2)

=n² + 2n + 1

=(n + 1)²

This demonstrates that 1/2n(n+1) + 1/2(n+1)(n+2) is always a square number when added together.

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Answer:

I can’t be confident at all; this is about as close to a random guess as you can get.

Step-by-step explanation:

A correlation coefficient of 0 ⇔ no linear relationship

As per the given data about the group of student, total number of students polled about the technology they own is equal to 99.

As given in the question,

Let 'n(U)' represents the total number of students polled about the technology they own.

Number of students own cell phone = 69

Number of students own a computer = 45

Number of students own a iPod = 23

Number of students own nothing of the above items = 4

Number of students own all three items = 34

Number of students own a cell phone and an iPod but not computer = 8

Total number of students polled  

= 69 + 45 + 23 + 4 + 34 - 8

= 99

Therefore, for the given data about the group of student, total number of students polled about the technology they own is equal to 99.

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Answer:

see below

Step-by-step explanation:

= 9000 ( .7^2) ^t  = 9000 (.49)^t

Answer:

[tex]G(t)=9000(0.49)^{t}[/tex]

Step-by-step explanation:

Given function:

[tex]G(t)=9000(0.7)^{2t}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]

[tex]\implies G(t)=9000(0.7^2)^{t}[/tex]

Simplify:

[tex]\implies G(t)=9000(0.49)^{t}[/tex]

The values of the function when the piecewise function is given h(-7)=4,h(-2)=4,h(4)=12 and h(6)=14.

Given that,

The piecewise function are

h(x)=[tex]\left \{ {{-3x-11, for x < -7} \atop {4,for -7\leq x < 4 \atop {x+8, for x\geq 4}} } \right.[/tex]

We have to find the values of the function h(-7), h(-2),h(4) and h(6).

A function with different definitions at different intervals of x is known as a piecewise function, or f(x). Each section of the graph of a piecewise function corresponds to one of the definitions. The absolute value function is an excellent example of a piecewise function.

Take the function

h(-7)

-7 only satisfy in the function h(x)=4 for -7≤x<4

So,

h(-7)=4

Take the function

h(-2)

-2 satisfy the function h(x)=4 for -7≤x<4

So,

h(-2)=4

Take the function

h(4)

4 only satisfy in the function h(x)=x+8 for x≥4

h(4)=4+8=12

h(4)=12

Take the function

h(6)

6 only satisfy in the function h(x)=x+8 for x≥4

h(6)=6+8=14

h(6)=14

Therefore, The values of the function when the piecewise function is given h(-7)=4,h(-2)=4,h(4)=12 and h(6)=14.

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The sum of interior Angles of Hexagon is always 720°

Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:

720°÷6 = 120°

In a regular hexagon, each inside angle is 120°.

An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.

Therefore, the interior angles of a hexagon are always added up to 720°.

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The unit rate for miles per gallon is 24.4 miles/gallon.

Given,

Distance travelled, d = 30 1/2 miles.

Grace used 1 1/4 gallons of gasoline.

We need to find the unit rate for miles per gallon. It can be calculated by dividing no of miles by gallons of gasoline. So,

R = 30 1/2 / 1 1/4

R = 61/2/5/4 miles per gallon

R = 61/2 × 4/5

R = 24.4 miles per galllon.

Hence we get the answer as 24.4 ,miles per gallon.

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Answer:

f(x) = 13 [tex](3)^{x}[/tex]

Step-by-step explanation:

we require to find a and b

using ordered pairs from the table and substituting into f(x)

f(x) = a[tex](b)^x}[/tex]

using (0, 13 )

13 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then

a = 13

f(x) = 13[tex](b)^{x}[/tex]

using (1, 39 )

39 = 13[tex]b^{1}[/tex] = 13b ( divide both sides by 13 )

3 = b

f(x) = 13 [tex](3)^{x}[/tex]

Answer:

[tex]f(x)=13(3)^x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]

The y-intercept of a function is the y-value when x = 0.

From inspection of the table, the y = 13 when x = 0, so a = 13:

[tex]\implies f(x)=13(b)^x[/tex]

Substitute the ordered pair (1, 39) into the equation and solve for b:

[tex]\begin{aligned}f(1)=13(b)^1&=39\\13b&=39\\b&=\dfrac{39}{13}\\b&=3\end{aligned}[/tex]

Therefore, the equation for the given table is:

[tex]f(x)=13(3)^x[/tex]

The largest area that can be enclosed by a fence of 240 m and a wall is 7200m²

It is given that the rectangular area will be fenced up against a long rectangular wall. Therefore, the fencing will be done on just three sides.

Let one side be x

Then the side opposite to it must be x cm as well

The sum of the three sides should be equal to 240 m

Hence the third side must be 240 - 2x m

Therefore the area of the region fenced must be

A = x(240 - 2x)

or, A = 240x - 2x²

Now we need to maximize the above equation

Taking the first derivative zero we get

A' = 0

or, 240 - 4x = 0

or, 60 - x = 0

or, x = 60

Now we will test whether the above output is maximum or not. The second derivative of A is

A'' = -4

Since A'' is a constant function,

Now, A''(60) = -4

Therefore, the maximum side will have lengths of 60 m and 120 m.

Hence the largest area that can be enclosed with the fence is

60 X 120 m²

= 7200 m²

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Translate left 12 units, stretch by a factor of 4, and reflect over the x-axis. Then state the vertex. g(x)= vertex:

Using the transformation concepts, it is found that:

   The rule for g is: [tex]g(x) = -4x^{2}[/tex]

   The vertex is: (0,0).

   Stretching a function f(x) vertically by a factor of b is given by:

[tex]g(x) - bf(x)[/tex]

   Reflecting a function over the x-axis is the equivalent of:

g(x) = -f(x)

   The original function is: [tex]f(x) = x^{2}[/tex]

   Stretching by a factor of 4 means that the function is multiplied by 4, thus: [tex]g(x) = 4x^{2}[/tex]

   Reflecting over the x-axis, that is, multiplying by -1, we have that: [tex]g(x) = -4x^{2}[/tex], which is the rule for g.

   From the above equation, added at the end of this answer, the vertex is at (0,0).

Hence the answer is the vertex is at (0,0)

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The probability that the mean time for the sample of 150 returns for this year is greater than 92 is 0.04006.

In the given question,

The mean time to prepare a return is 90 minutes. So μ = 90.

The population standard deviation of this distribution is 14 minutes. So σ=14.

150 returns from this year are selected and analyzed regarding the preparation time. So n = 150.

Then we have to find the probability that the mean time for the sample of 150 returns for this year is greater than 92.

μx = μ = 90

σx = σ/√n = 14 /√150 = 1.14

P (x>92 ) = 1-P(x<92)

= 1 - P[z < (x-μx)/σx]

= 1 - P[z < (92-90)/1.14}

= 1 - P ( z < 1.754)

Using standard normal table

= 1 - 0.95994

= 0.04006

Probability = 0.​04006

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The right question is:

Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers has maintained careful records regarding the time to prepare a return. The mean time to prepare a return is 90 minutes, and the population standard deviation of this distribution is 14 minutes. Suppose 150 returns from this year are selected and analyzed regarding the preparation time. What is the probability that the mean time for the sample of 150 returns for this year is greater than 92?

Answer:

Step-by-step explanation:

807

Answer:

408

Step-by-step explanation:

3 x 19 = 57

x 14 = 798

+ 18 = 816

divided by 2 = 408