What is the volume of the rectangular prism?

A prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.
16 in.3
22 and one-half in.3
200 in.3
212 and one-half in.3

The system of inequalities that represents the graph are y >  -x + 3 and y ≤  2x - 2

A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b

For the broken line, the coordinate points will be(0, 3) and (3, 0)

m = -3/3

m = -1

The equation of the line will be y >  -x + 3

For the solid line, the coordinate points will be(0, -2) and (1, 0)

m = 2/1

m = 2

The equation of the line will be y ≤  2x - 2

Hence the system of inequalities that represents the graph are y >  -x + 3 and y ≤  2x - 2

Learn more on inequality here; https://brainly.com/question/24372553

#SPJ1

Answer:

[tex]\frac{2^{20} }{3^{8} }[/tex]

Step-by-step explanation:

Exponent Multiplication Rule :

[tex](\frac{x^{a} }{y^{b} } )^{c} = \frac{x^{ac} }{y^{bc} }[/tex]

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

Solving :

⇒ [tex](\frac{2^{5} }{3^{2} } )^{4}[/tex]

⇒ [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]

⇒ [tex]\frac{2^{20} }{3^{8} }[/tex]

Answer: X = 6

Step-by-step explanation:

Substitute the x’s in the equation for the answer options that are provided.

Solutions of quadratic equation x = √(-2x + 48) are x = -8 and x = 6.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given, quadratic equation;

x = √(-2x + 48)

Squaring on both sides,

x² = -2x + 48

x² + 2x - 48 = 0

Now, we have to solve for x.

Simplifying,

x² + 8x - 6x - 48 = 0

(x + 8)(x -6) = 0

(x + 8) = 0 and (x -6) = 0

x = -8 and x = 6

After eliminating the extraneous solutions;

we have,

x = -8 and x = 6.

Therefore, the solutions are x = -8 and x = 6.

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ2

Answer:

93,600

Step-by-step explanation:

4x104= 416

416x225 = 93,600

Using the normal distribution, it is found that approximately 79.67% of the bags weigh 3.00 ounces or more​.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 3.05, \sigma = 0.06[/tex]

The proportion of the bags that weigh 3.00 ounces or more​ is one subtracted by the p-value of Z when X = 3, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 3.05}{0.06}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

1 - 0.2033 = 0.7967 = 79.67%.

79.67% of the bags weigh 3.00 ounces or more​.

More can be learned about the normal distribution at https://brainly.com/question/27643290

#SPJ1

Answer:

$8

Step-by-step explanation:

Let f = 1 kg of French Roast coffee

Let b = 1 kg of Boxer Blend coffee

Given:

⇒ f + b = 14

Given:

⇒ 2f + 3b = 36

Rewrite the first equation to make f the subject:

⇒ f + b = 14

⇒ f = 14 - b

Substitute this into the second equation and solve for b:

⇒ 2f + 3b = 36

⇒ 2(14 - b) + 3b = 36

⇒ 28 - 2b + 3b = 36

⇒ 28 + b = 36

⇒ 28 + b - 28 = 36 - 28

⇒ b = 8

Therefore, the price of 1 kg of Boxer Blend coffee is $8

Answer:

yes

Step-by-step explanation:

independence means the object or so are completely unreliant of eachother or does not have order.

for example a dependent situation would be sports players getting picked because there is order.

Answer:

[tex]2sin(x)cos^2(x)[/tex]

Step-by-step explanation:

To solve the problem, you must expand the trigonometric expression using the information given.

[tex]sin(2x)cosx\\sin(2x)\\=2sin(x)\\=2sin(x)cos^2(x)[/tex]

Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h

Relative velocity is defined as the velocity of an object with respect to another observer.

From the question, we are to determine how fast Keesha would say the ball is traveling. That is, the relative velocity

Relative velocity of the ball = 12 km/h - 5 km/h

Relative velocity of the ball = 7 km/h

Hence, Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h

Lear more on Relative velocity here: https://brainly.com/question/13363067

#SPJ1

Answer:

7 km/h

Step-by-step explanation:

Answer:C Or 210 Sc

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the transformation, we need to take a point and the point to which it has been translated.

Let's take A and A'.

⇒ A = (2, -2)

⇒ A' = (-2, 1)

Change in x : -4 (shifted 4 units left)

Change in y : 3 (shifted 3 units up)

This means to obtain A'B'C'D' from ABCD, the graph has to be :

shifted 4 units left and 3 units up

Answer:

Knowledge > Probability

Step-by-step explanation:

In the moment knowledge would be useful because you are thinking about the decision you are making but after days, months or years probability would be in your mind. Also probability is just another word for chance so there would be no confirmation of said thing happening but when you have knowledge your brain knows that said thing is 100% going to happen, so for me personally knowledge is more useful than probability

Answer:

the sample proportion is 26:50then if it simplyfy answer is13:25

Answer:

60 dkm = 6km

Step-by-step explanation:

10 dkm = 1 km

60 dkm = 60/10 km = 6 km

The lateral area of the prism is 270cm²

What is the lateral area of a prism?

The lateral area of a prism is defined as the sum of the areas of its lateral faces.

Using the formula;

Lateral area = (a+ b+ c) h

Where a, b, c, are all the lateral faces and h is the height

Lateral area = (8 + 6 + 13) × 10 = 27 × 10 = 270cm²

Therefore, the lateral area of the prism is 270cm²

Learn more about lateral area here:

https://brainly.com/question/1310421

#SPJ1

answer:

c

step by step explanation:

I did it on edge.

The angle that defines the arc is 1.57 radians or 90°.

For a circle of radius R, the length of an arc defined by an angle θ in radians is given by:

L = θ*R.

Here we know that the radius is R = 7cm, and the length of the arc is  10.99 cm. Replacing these in the above equation:

10.99 cm = θ*7cm

θ = (10.99 cm/7 cm) = 1.57

Then the angle is 1.57 radians. Remember that:

3.14 radians = 180°

Then:

θ = (1.57/3.14)*180° = 90°

If you want to learn more about arcs:

https://brainly.com/question/2005046

#SPJ1

[tex]\\ \rm\Rrightarrow \ell=\dfrac{\Theta}{180}\pi r[/tex]

[tex]\\ \rm\Rrightarrow \Theta=\dfrac{180\ell}{r\pi}[/tex]

[tex]\\ \rm\Rrightarrow \Theta=\dfrac{180(10.99}{7(3.14)}[/tex]

[tex]\\ \rm\Rrightarrow \Theta=\dfrac{1978.2}{7\pi}[/tex]

[tex]\\ \rm\Rrightarrow \Theta=90^{\circ}[/tex]

Answer:

P(1+[tex]\frac{r}{100}[/tex])ⁿ

600(1+[tex]\frac{5}{100}[/tex])¹

600(1+0.05)¹

600(1.05)

630

Note:

P= participle

R= rate

N= years

Answer:

x² - 25=(x-5)(X+5)

x²-3x -15=5.6 or. -2.6

Answer:

d

Step-by-step explanation:

the y- intercept is the point on the y- axis where the graph crosses

the graph crosses the y- axis at point (0, - 9 )

then y- intercept = (0, - 9 )

Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~4 - (-2)~~)^2 + (~~1 - (-4)~~)^2} \implies d=\sqrt{(4 +2)^2 + (1 +4)^2} \\\\\\ d=\sqrt{( 6 )^2 + ( 5 )^2} \implies d=\sqrt{ 36 + 25 } \implies d=\sqrt{ 61 }[/tex]

Answer: the coordinates of D'

Step-by-step explanation:

Reflections are rigid motions, so area and perimeter are preserved.

However, the preimage of a point is only the same as the image of that same point if that point is the center of rotation. Since point D is not the center of rotation, the coordinates of D' will not be the same as those of D.

Answer:

Which class is this

I can't believe the question

Answer:

no solution

Step-by-step explanation:

Given :

-3(4n+1) < -6(2n-6)

Divide by -3 on each side (and remember to change the sign) :

-1/3 x -3(4n+1) < -1/3 x -6(2n-6)

4n + 1 > 2(2n - 6)

Expand the RHS :

4n + 1 > 2(2n) - 2(6)

4n + 1 > 4n - 12

Solution :

As the coefficient of x is the same on both sides, and the constants are different, this inequality has no solution

Answer:

Given inequality:

-3(4n + 1) < -6(2n - 6)

Expand the brackets:

⇒ -12n - 3 < -12n + 36

Add 12n to both sides:

⇒ -12n - 3 + 12n < -12n + 36 + 12n

⇒ -3 < 36

Solution:  True for all n

Interval Notation: (-∞, ∞)

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} [/tex]

[tex] \frac{3}{4} 36 = 27[/tex]

The first five terms of the sequence represented as an = 3(n -1) + 1 are 1,4, 7, 10 and 13

The formula of the sequence is given as:

an = 3(n -1) + 1

The above sequence is an arithmetic sequence, and the first five terms are the values of the sequence when the value of n is from 1 to 5

i.e. n = 1, 2, 3, 4 and 5

Next, we set n = 1, 2, 3, 4 and 5, and substitute these values for n in an = 3(n -1) + 1

So, we have the following equations

First term

a1 = 3(1 -1) + 1 = 1

Second term

a2 = 3(2 -1) + 1 = 4

Third term

a3 = 3(3 -1) + 1 = 7

Fourth term

a4 = 3(4 -1) + 1 = 10

Fifth term

a5 = 3(5 -1) + 1 = 13

Hence, the first five terms of the sequence represented as an = 3(n -1) + 1 are 1,4, 7, 10 and 13

Read more about sequence at:

https://brainly.com/question/15412619

#SPJ1

I apologize for the handwriting it's not the best :)

Answer:

36

Step-by-step explanation:

40 % of 60 = 24

60-24=36