If a student is selected at random, find the probability the student is a freshman. Round to the nearest whole percent.

Answer:

61.5

Step-by-step explanation:

-3 (t-8)+1.5

-3 (-12-8)+1.5

-3 (-20)+1.5

60+1.5= 61.5

The value of expression will be;

⇒ - 58.5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3 | t - 8 | + 1.5

And, The value of t = - 12

Now,

The expression is,

⇒ - 3 | t - 8 | + 1.5

Put t = - 12, we get;

⇒ - 3 | - 12 - 8 | + 1.5

⇒ - 3 | - 20 | + 1.5

⇒ - 3 × 20 + 1.5

⇒ - 60 + 1.5

⇒ - 58.5

Thus, The value of expression will be;

⇒ - 58.5

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Answer:

3

Step-by-step explanation:

Answer:

The equation of the hyperbola can be presented as follows;

[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]

Step-by-step explanation:

We have the equation of an hyperbola given as follows;

[tex]\dfrac{\left (x - h \right )^{2}}{a^{2}} - \dfrac{\left (y - k \right )^{2}}{b^{2}} = 1[/tex]

The foal length = a² + b² = c²

c = focal length

The directrix = a²/c

The focal point are (h + c, k) and (h - c, k)

Therefore, by comparison with the given focal points, (6, 0) and (-6, 0), we have;

k = 0 and h + c = 6, h - c = -6

Therefore;

6 - c - c = -6

-2·c = -12

c = 6

h = 0

a²/c = 2

a² = 2 × 6 = 12

a = 2·√3

12 + b² = 6²

b² = 6² - 12 = 24

b² = 24

b = 2·√6

The equation of the hyper bola can then be written as follows;

[tex]\dfrac{\left (x - 0 \right )^{2}}{12} - \dfrac{\left (y - 0 \right )^{2}}{24} = 1[/tex]

Which gives

[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]

x² - y² = 12

y² = x² - 12.

Answer:

Below

Step-by-step explanation:

a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.

So the equation for the first one is y = -(1/3)x

To find what x equals when going through the point (x, 4), plug in 4 for y and solve

y = -(1/3)x

4 = -(1/3)x

4/-(1/3) = -(1/3)x/-(1/3)

-12 = x

So, when y = 4, x = -12

b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.

This makes the second equation y = -4x

Then plug 4 in for y again, instead using -4 as the slope

y = -4x

4 = -4x

4/-4 = -4x/-4

-1 = x

This shows that when y = 4, x = -1

Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

Equation of the line using point ( -1 , 2) and slope 3/2 is

Hope this helps you

Answer:

About 2.72

Step-by-step explanation:

From reading the comments, I suppose you meant v actually means x so:

14 × 14 = 196

196 ÷ 72 ≈ 2.72

Hope this helped! :)

Answer:

Hello!

I'm not sure what the " v " means but I think you meant to put x instead of v

____________________

14 x 14 = 196

196 ÷ 72 = [tex]\frac{49}{18}[/tex]

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

Hope I got this right.

Answer:

x + 2x + 1/2x = 224

Step-by-step explanation:

x + 2x + 1/2x = 224

3.5x = 224

x= 64

64×2=128

Hen baked 128 cookies on the second day

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(16)(4)[/tex]

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:

option d is correct answer.

hope it helps..

D. 8.8 cm^3

Step-by-step explanation:

The formula for the volume of a cone is...

[tex]V=\frac{1}{3}\pi r^2h[/tex]

We can plug everything we know into the formula and convert pi to 3.14 since the answer choices aren't in pi.

[tex]V=\frac{1}{3}*( 3.14*1.45*1.45*4 )[/tex]

I prefer to do the 1/3 last, but it is entirely up to you!

Now solve...

[tex]V=\frac{1}{3}*26.4074[/tex]

Divide by 3.

V =

8.8 cm^3

Answer:

y = 2x - 5

Step-by-step explanation:

Step 1: Find slope m

m = (-1 - 3)/(2 - 4)

m = -4/-2

m = 2

y = 2x + b

Step 2: Find b

-1 = 2(2) + b

-1 = 4 + b

b = -5

Step 3: Rewrite equation

y = 2x - 5

Answer:

Part A:

The vertex :  x = - b / 2 a = - 28 : ( - 2 ) = 14

y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4

The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Part B :

We will solve the quadratic equation:

x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )

x 1 = 12,  x 2 = 16.

It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even. 

I think

The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two

The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry

Given,

[tex]f(x) =-x^{2} +28x-192[/tex]

Vertex

x= [tex]-\frac{b}{2a}[/tex]

x= [tex]-\frac{28}{2(-1)} =14[/tex]

y= [tex]-14^{2}+28(14)-192 =4[/tex]

Vertex (14,4)

It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.

Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit

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Answer:

frank drank 0.125us gallons= 16 ounces, he has 0.875 us gallons= 112 ounces

Step-by-step explanation:

since 16 oz (which frank drank) = 0.125 gal, 1 gal - 0.125 = 0.875 gal which = 112 oz

Answer:

y= -5

y= -2

y= 1

y= 4

Step-by-step explanation:

plug in the values of x into the equation

The values of 'y' for the given values of [tex]x = - 1, 0, 1, 2[/tex] are [tex]- 5, - 2, 1, 4[/tex] respectively.

A linear equation is an equation that has one or multiple variables with the degree of the polynomial is 1.

The given linear equation is

[tex]y = 3x - 2[/tex]

The given values of [tex]x = - 1, 0, 1, 2[/tex].

For [tex]x = - 1, y = 3(- 1) - 2 = - 5[/tex]

For [tex]x = 0, y = 3(0) - 2 = - 2[/tex]

For [tex]x = 1, y = 3( 1) - 2 = 1[/tex]

For [tex]x = 2, y = 3(2) - 2 = 4[/tex]

Therefore, the table will be:

   x        y

 - 1      - 5

   0     - 2

   1        1

   2       4

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Answer:

x = 3.9

Step-by-step explanation:

x/1.5 = 2.6

Multiply both sides by 1.5

x/1.5 × 1.5 = 2.6 × 1.5

x = 3.9

Answer:  3.9

Step-by-step explanation:

Answer:

3x3 +5x2

Step-by-step explanation:

f(x).g(x)

(3x+5)(x2)

(3x×x2)(5×x2)

3x3+5x2

The length of PG using the centroid property is 6 unit.

The centroid divides each median into segments in a 2:1 ratio.

This means that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.

Given:

JG = 18

As, the centroid divides each median into segments in a 2:1 ratio then

PG:PJ = 1:2

So, the length of PG

= 1/3 * (18)

= 18/3

= 6 unit

Thus, the length of PG  is 6 unit.

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Answer:

I think this is the distributive property.

Step-by-step explanation:

Answer:

V= -2000t + 20000

Step-by-step explanation:

Let m be the slope of our function :

Let's check :

Answer:

4 sqrt(7)

Step-by-step explanation:

We can use the leg rule

hyp            leg

------- = -------------------

leg          part

9+7          z

------- = -------------------

z          7

Using cross products

(9+7) *7 = z^2

16*7 = z^2

112 = z^2

Taking the square root of each side

sqrt( 16*7) = sqrt(z^2)

4 sqrt(7) = z

Answer:

r = 64

Step-by-step explanation:

The number of years for the investment plan = 65-23= 32 years

Initial amount= $30000

Final amount= $160000

To find the rate of return

We will use the compound interest formula.

The number of times it was compounded= number of years because it was not compounded monthly.

A= p(1+r/n)^(nt)

160000= 30000(1+r/32)^(32*32)

160000/30000= (1+r/32)^(32*32)

5.333= (1+r/32)^(1024)

1024√5.333= (1+r/32)

1.001636073 = 1 +r/32

2.01636073= r/32

32(1.01636073)= r

64.05= r

Answer: 100%

Step-by-step explanation:

Given the following :

Price of antique car in 2020 is 200% of its original price in 1980.

By what percentage did the price increase over this 40-year period?

Let the original price = x

x = price of car in 1980

Price of car in 2020 = 200% of x = 2x

Percentage increase in price is given by:

(increase / original price) × 100%

Increase = (price in 2020 - price in 1980)

[(Price in 2020 - price in 1980) / original price] * 100%

[(2x - x) / x] * 100%

[(2x - x) / x] * 100%

(x /x) * 100%

= 1 × 100%

= 100%

100x%

The percentage that the price increase over this 40-year period is 100%.

Using this formula

Percentage increase=(Current price-Original price)÷Original price × 100%

Let plug in the formula

Percentage increase= (200% of x1-1)/1×100

Percentage increase= 1 × 100%

Percentage increase= 100%

Inconclusion the percentage that the price increase over this 40-year period is 100%.

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Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

Answer: 19 degrees

Step-by-step explanation:

<FOE is the central angle of an arc of 52 degrees and is thus 52 degrees.  Then by supplementary angles <COD is 71 degrees and angle BOA is thus also 71 degrees.  Then by supplementary angles <BOC is 19 degrees and arc BC is thus also 19 degrees.

Hope it helps <3

Answer:

19 degrees

Step-by-step explanation:

Answer:

No I don't agree with Clare.

You will get more than 11 yards

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

x2 + 3

(3)2 + 3

6 + 3

9

Answer:

12.

Step-by-step explanation:

x = 3; x^2 + 3.

(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12

Hope this helps!

Answer:

  Eva used a side dimension instead of the height.

Step-by-step explanation:

The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.

Eva multiplied the base by the side height, not the actual height.

Step-by-step explanation:

The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.

Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

Answer:

A, C, E, G

Step-by-step explanation: