This rectangular prism has a length of 14 inches, a height of 8 inches, and a width of 3 inches. What is the volume

Answer:

x intercepts = (9,0), (-7,0)

Step-by-step explanation:

First lets expand the factored equation.

f(x) = 3(x + 7) (x - 9)

.... = 3x + 21 (x - 9)

....= 3x^2 - 27x - 21x - 189

....= 3x^2 - 6x - 189

lets make the quation equal to 0 and use the Factorization method to solve for x.

3x^2 - 6x - 189= 0

3(x^2 - 2x - 63) = 0

3(x - 9) (x + 7) = 0

x - 9 = 9 and x + 7 = -7

x = 9,

x = -7

Answer:3/4

Step-by-step explanation:there are 30+10=40 marble

you choose 30 green.    30/40=3/4

see the attached figure

A(4,8)  B(0,7)  C(4,3)

the line of reflection is x=5

the reflection is (x,y)-------------------> (10-x,y)

therefore

A(4,8)-----------------> A1(10-4,8)------> A1(6,8)

B(0,7)-----------------> B1(10-0,7)------> B1(10,7)

C(4,3)-----------------> C1(10-4,3)------> C1(6,3)

Answer:

It fifty-eight and eight tenths

Step-by-step explanation:

Answer: fifty-eight and eight tenths

Step-by-step explanation:

Answer:

173

Step-by-step explanation:

Assume the natural number is x.

x/12 = ... R 5

x/15 = ... R 8

x/18 = ... R 11

Thus, x+7 is divisible by 12, 15 and 18 all together.

The smallest possible number of x+7 can be calculated with prime factorization.

12=2^2 * 3

15=3 * 5

18=2 * 3^2

The smallest possible number for x+7 is 2^2 * 3^2 * 5 = 4 * 9 * 5 = 180.

Therefore, the smallest possible solution for x is 180 - 7 = 173.

Answer:

Step-by-step explanation:

The probability of each number is same:

So P(7) is also 1/8.

Correct choice is B

Answer:

Step-by-step explanation:

5x is greater than -20 because if you look at the worst possible solution which is 5(0) it's still larger than -20 because of the number line 0 is greater than -20 so yes 5x is greater than -20

The shape of the distribution described the Left skewed.

A left skewed histogram is a histogram that attains a peak (which is the mode) towards the right side of the graph and has a “tail” towards the left side.

A histogram in which most of the data falls to the left of the graph's peak is known as a left-skewed histogram.

A left-skewed histogram is a type of histogram that is not symmetrical and in which the peak of the graph lies to the right of the middle value or the median.

Hence, considering the above definition the given histogram data falls on right side.

So, it is left skewed graph.

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Answer:

1. Proportion

2. Not Proportion

3. Proportion

4. Proportion

5. Proportion

Step-by-step explanation:

Hope it helps you :))))))

Have a good day

Answer:

a ............,....

Step-by-step explanation:

....

....,,

Answer:

yes its arithmetic, and the common difference is 3

Step-by-step explanation:

-9, -6, -3, 0

-6 - (-9) = 3

-3 - (-6) = 3

0 - (-3) =3

Answer:

[tex]\sf \sqrt{29}[/tex]

Step-by-step explanation:

To find the distance between points H(-2, -3) and F(-4, 2), use the distance formula.

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance Formula}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where:\\ \phantom{ww}$\bullet$ $d$ is the distance between two points. \\\phantom{ww}$\bullet$ $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]

Substitute the points into the distance formula and solve for d:

[tex]\begin{aligned}d&=\sqrt{(x_F-x_H)^2+(y_F-y_H)^2}\\\\&=\sqrt{(-4-(-2))^2+(2-(-3))^2}\\\\&=\sqrt{(-4+2)^2+(2+3)^2}\\\\&=\sqrt{(-2)^2+(5)^2}\\\\&=\sqrt{4+25}\\\\&=\sqrt{29}\end{aligned}[/tex]

Therefore, the exact distance between points H and F is [tex]\sf \sqrt{29}[/tex].

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The reasoning used here is coding and decoding.

Coding is a portion of the logical reasoning element that is used to encrypt words, numbers, or codes utilizing specified rules and regulations. The process of decoding patterns into their original forms from supplied forms is known as decoding.

We have an expression:-

a = b and c = d, then a − c = b − d

Therefore the reasoning used here is coding and decoding.

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Step-by-step explanation:

when throwing 2 coins, there are 4 equally probable outcomes :

1 head 1 tail

1 tail 1 head

2 heads

2 tails

so, each outcome has a probability of 1/4.

the probability to not get 2 tails is the sum of the probabilities of 3 of these outcomes. so, it is

3/4.

to get 2 tails first at the xth attempt means that it did not happen at all x-1 attempts before.

that probability for that is

(3/4)^(x-1)

and then it happens. the probability for that is 1/4.

so, the total probability for that event is

(3/4)^(x-1) × 1/4 = (3^(x-1)) / (4^x)

so, for x = 7 that gives us a probability of

3⁶ / 4⁷ = 729 / 16384 = 0.044494629...

Answer:

0.06

Step-by-step explanation:

The product of 2 numbers means that we have to multiply them.

So, we do 0.2 x 0.3 = 0.06

To do this, we convert the decimal fractions into whole numbers by multiply both by 10.

ie. 0.2 x 10 = 2

and

0.3 x 10 = 3

Now multiply together

2 x 3 = 6.

However, we have to remember that we multiplied both numbers by 10 (ie. 10 x 10 = 100) so we must remember to divide the answer by 100

...0.06

Hope this helps!

- profparis

Answer:

=0.06

Step-by-step explanation:

0.2

× 0.3

= 0.06

therefore the answer is 0.06

Answer:

$5.50

Step-by-step explanation:

I = Prt

Solving :

Step-by-step explanation:

a.

the arc angle AC = 180° (since this is a diameter).

the arc angle BC = 60°.

so,

arc angle AB = arc angle AC - arc angle BC = 120°.

b.

the exterior angle of a circle segment at the circle arc is half of the interior angle at the center of the same segment.

the angle A = arc angle BC / 2 = 30°.

c.

the same principle as in b.

the angle C = arc angle AB /2 = 60°.

d.

the arc angle AD = the angle at AOD (that is how arc angles are defined).

the angle AOD = the angle AOF.

the sum of all angles in a triangle is always 180°.

angle AOD = AOF = 180 - 90 - angle A = 60°.

e.

as explained, this is the same as the arc angle AD and therefore the same as d.

it is 60°.

f.

the arc angle CE = the arc angle AD = 60°.

remember, the angles of intersecting lines are the same (just side mirrored) on both sides of each line.

g.

the arc angle ABE = arc angle AB + arc angle BC +

+ arc angle CE = 120 + 60 + 60 =

= 240°

h.

the angle AOE = the arc angle AE = the remainder of 360 minus the arc angle ABE of g.

so, angle AOE = 360 - 240 = 120°

By solving a little system of equations we will see that the two numbers are 12 and 31.

Let's define the two numbers as a and b.

We know that one of the numbers is 7 more than twice the other, so we have:

a = 2b + 7

We also know that the sum of the two numbers is 43, so we get:

a + b = 43

Replacing the first equation into the second one we get:

2b + 7 + b = 43

3b = 43 - 7 = 36

b = 36/3 = 12

Now that we know b, we can find a:

a = 2*12 + 7 = 31

So the numbers are 12 and 31.

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Answer:

pls find given attachment

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

f(x) = x + 2

The value of f(n - 4) is given as:

f(n - 4) = n - 4 + 2 = n - 2

The function of F is defined by f(x) = x + 2, the value of f(n - 4) is given as f(n - 4) = n - 4 + 2 = n - 2

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Answer:

$212.55

Step-by-step explanation:

hope it helps and give brainliest

Answer: c= [tex]x^{2}[/tex] +4x-10

Step-by-step explanation:

Step 1: Flip the equation.

C+1= [tex]x^{2}[/tex]+4x-9

Step 2: Add -1 to both sides.

c+1+-1=[tex]x^{2}[/tex]+4x-9+-1

c=[tex]x^{2}[/tex]+4x-10

Answer:

I notice that the size of the watermelons has grown at a steady positive rate over the seven days.