hellonim confused on this question. I think i get it but im unsure.

Answer:

15

Step-by-step explanation:

When you see something like f (18), this means 18 needs to be plugged in for x

let's plug in 18

f (18) = \(\frac{2}{3} (18) + 3\)

Let's solve

(18 × 2) ÷ 3 = 12

12 + 3 = 15

f (18) = 15

The given data  is incorrect, k does not constitute a constant, but rather y does not varies directly to x.

We may have 11=7k for the initial point, implying that k=11/7.

Again for second point, we'd have 13=8k, which means k=13/8.

Using proportions, we can see that 11/7 doesn't really equal 13/8: cross multiply and you get 11*8=7*13, or 88=91.

Thus, this is incorrect, k does not constitute a constant, but rather y does not varies directly to x.

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The complete question is-

Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

x y

7 11

8 13

9 15

10 17

The quotient of 258 divided by 4 is calculated to be 64.5

Division is considered to be one of the four basic operations of arithmetic. The other three are multiplication, addition, and subtraction, and they can be defined as how numbers are combined to make new numbers.

Out of the four basic operations, division is the process of splitting an amount or a number into equal parts.

In division, the numerator is the top number of a fraction, and on the other hand, the denominator is the bottom number of a fraction and the result of division is called the quotient

In this case, 258 is the numerator and 4 is the denominator;

258 / 4 = 64.5

Therefore the quotient of this division is calculated to be 64.5

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Answer:

Multiply each of the 3 prices by the associated probability, and then add up these three products:

($48)(1/2) + ($56)(1/8) + ($72)(3/8) = $24 + $7 + $27 = $58 (answer)

Step-by-step explanation:

Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

We have

Number of students= 1200

Water consumption per student= 750 ml

So, Total water consumption

= Number of students × Water consumption per student

= 1200 × 750 ml

= 900000 ml

= 900 Liter

Now, the time cooler tank has to be filled to quench the thirst

= 900 / 50

= 18 times

Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

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Complete Question

Suppose that the random variable X represents the length of a punched part in

centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,

what are the mean and variance of Y?

Answer:

The mean

\(E(Y) =50 mm\)

The variance

\(V(Y) = 25 mm\)

Step-by-step explanation:

From the question we are told that  

   Length in cm is  X

   Length in mm is Y

  Generally  10 mm  =  1 cm

So

    \(Y = 10 X\)

Hence the expected mean of Y is  

  \(E(Y) = E (10 X)\)

=>    \(E(Y) = 10 E(X)\)

From the question \(E(X) = 5\)

So

      \(E(Y) = 10 * 5\)

=> \(E(Y) =50 mm\)

Gnerally the variance of  X is  

      \(V(X) = E [X^2] -E[X]^2\)

From the question we are told that \(V(X) = 0.25\)

=> \(0.25 = E [X^2] -E[X]^2\)

Gnerally the variance of Y

    \(V(Y) = E [Y^2] -E[Y]^2\)

=> \(V(Y) = E [10X^2] -E[X]^2\)

=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)

=> \(V(Y) = 10^2* V(X)\)

=> \(V(Y) = 10^2* 0.25\)

=> \(V(Y) = 25 mm\)

Answer:

sept one

Step-by-step explanation:

Answer:

(x-2)^2 + (y+2)^2 = 100

Step-by-step explanation:

Next time you can type in "equation of a circle calculator" in the search bar and click the first result.  then imput the info :)

According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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The value of is -26

First, to determine the value of x, we need to know that index forms are described as mathematical forms that are used to represent numbers of values that are too small or large in more convenient forms

From the information given, we have that;

5⁷ˣ⁺⁵ = 125²ˣ⁻⁷

Now,  make that the bases are like terms, we have that;

125 = 5³

Substitute the value and we have;

5⁷ˣ⁺⁵ = 5³⁽²ˣ⁻⁷⁾

Take the exponents, we get;

7x + 5 = 6x - 21

collect the like terms, we have;

7x - 6x = -21 - 5

x = - 26

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Answer:

B. 6

Step-by-step explanation:

We can see that through angles A and C that this triangle is an isosceles triangle. Knowing that, we can set up the equation 3x=4x-2. We can simplify by adding 2 two both sides. We get the equation 3x+2=4x. Then we subtract 3x from both sides. So therefore, 2=x. Length AB is 3x so we would do 2*3, which is equal to 6. So your answer would be B. 6.

Answer:

the answer to your question is 1

Answer:

4) x = 3/2 , x = -1/2

Steps:

(2x-1)² - 4 = 0

4x²-4x+1 - 4 = 0

4x²-4x-3 = 0

x = (4±√((-4)²-4×4×(-3))/2×4

x = (4±√(16+48)/8

x = (4±√(64)/8

x = (4±8)/8

x = 12/8 , x = -4/8

x = 3/2 , x = -1/2

Answer:

1) no solution

2) no solution

Step-by-step explanation:

7(2 + 5v) = 3v +14

14 + 35v = 3v + 14

The 14s cancel each other out.

35v ≠ 3v

no solution

36 - 7p = -7(p - 5)

36 - 7p = -7p + 35

The -7s cancel each other out.

36 ≠ 35

no solution

The apothem of the hexagon is 8√3 cm.

We are given that;

The area of a regular hexagon= 384√3Cm²

Now,

To find the side length, radius, and apothem of a regular hexagon given its area, we can use the following formulas:

Area = (3√3 s^2) / 2 Area = (1/2) a P Area = (3/2) r a

where s is the side length, a is the apothem, P is the perimeter, and r is the radius of the hexagon. We can solve for any of these variables by rearranging the formulas and plugging in the given area.

A. To find the side length, we can use the first formula and solve for s:

s^2 = (2 Area) / (3√3) s = sqrt((2 Area) / (3√3))

Plugging in Area = 384√3, we get:

s = sqrt((2 * 384√3) / (3√3)) s = sqrt(256) s = 16

Therefore, the side length of the hexagon is 16 cm.

B. To find the radius, we can use any of the formulas and solve for r. For example, using the third formula, we get:

r = (2 Area) / (3 a)

To find a, we can use the second formula and solve for a:

a = (2 Area) / P

To find P, we can use the fact that P = 6s and plug in s = 16:

P = 6 * 16 P = 96

Plugging in P and Area into the formula for a, we get:

a = (2 * 384√3) / 96 a = 8√3

Plugging in a and Area into the formula for r, we get:

r = (2 * 384√3) / (3 * 8√3) r = 32

Therefore, the radius of the hexagon is 32 cm.

C. To find the apothem, we can use any of the formulas and solve for a. For example, using the second formula, we get;

a = (2 Area) / P

Plugging in Area = 384√3 and P = 96, we get:

a = (2 * 384√3) / 96 a = 8√3

Therefore, by polygon the answer will be 8√3 cm.

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Answer:

Is there a graph orrrrr?

Step-by-step explanation:

Answer:

a)(4+x) + (4+x) + x= 26

b) x=6

Step-by-step explanation:

pavan=x

brother 1=4+x

brother 2=4+x

brother 1=brother 2

a)

(4+x) + (4+x) + x= 26

b)

(4+x) + (4+x) + x= 26

=> 8+3x=26

=>

take 8 to 26

=>

3x=26-8=18

take 3 to 18 side

x=18/3=6

therefore pavan saves 6$ per month

Answer: x=13, y=12

Step-by-step explanation:

Since AB and DC are parallel, we can use the special angle formed by the transversal AC.

4x is equal to 52. These angles are alternate interior angles and therefore equal in measure.

4x= 52. Divide both sides by 4.

x = 13

m<ADC is 90 degrees. (AD is perpendicular to DC. This forms a right angle measuring 90 degrees.

Use the triangle angle sum theorem to solve for y. (The 3 interior angles of a triangle sum to 180)

52+90+(3y+2) = 180. Combine like terms.

144+3y = 180. Subtract 144 from both sides.

3y= 36. Divide both sides by 3.

y= 12

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

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

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

The approximate difference in the maximum heights achieved by the two projectiles is 3.7 feet .

Given that :

f(x) = -16x^2 + 42x + 12,

f'(x) = -32x + 42 = 0 ,

so x = 42/32

= 21/16

= 1.3125

Then its max height is:

f(x) = f(21/16) = -16(21/16)2 + 42(21/16) + 12

f(x) = [-(21)2 + 42(21) + 12(16)]/16

= [-441 + 882 + 192]/16 = 633/16

= 39.563

= 39.6 rounded

g(0) =  -9 =  C

g(1) =  33 =  A + B + C = A + B -9,  so A = 33 + 9 -B = (42 - B)

g(2) =  25 = 4A + 2B - 9

25 = 4(42 - B) + 2B -9 = (168 - 9) -2B,

so  2B = -25 + 159 = 134  

B = 67

Then A = 42 - B

= 42 - 67

= - 25

Thus g(x) = -25x2 + 67x - 9,

and its derivative or slope is g'(x) = -50x + 67 = 0 for the peak height

x  = -67/-50 = 1.34,

g(x) = -25(1.34)2 + 67(1.34) - 9

= -44.89 + 89.78 - 9

= 35.89

= 35.9 rounded

Finally, the difference in peak or max height = 39.6 - 35.9

=  3.7 feet

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Answer:

Step-by-step explanation:

70

Answer:

70

Step-by-step explanation:

Answer:

\(V = 208\,u^{3}\) (Option C)

Step-by-step explanation:

The volume of the composite figure is:

\(V = \frac{1}{2}\cdot (3\,u)\cdot (4\,u)\cdot (8\,u) + (5\,u)\cdot (4\,u)\cdot (8\,u)\)

\(V = 208\,u^{3}\) (Option C)

Answer:

I think the answer is B

Step-by-step explanation:

1.2 * 10^6 is 1,200,000

1.38 * 10^7 is 13,800,000

you just have to divide 13,800,000 by the numbers until you get to 1,200,000. So, 13,800,000 / 11.5 is 1,200,000

Hope this helps! Have an amazing day :)

Answer:

11.5

Step-by-step explanation:

we will need to divide both of them

1.38 × 10^7 ÷ 1.2 × 10^6

1.38÷1.2 × 10^7-6

= 1.15 × 10¹

= 11.5

Answer:

78.5 (I think 90% sure)

Step-by-step explanation:

sum of both scores

75+82 = 157

average for a third test

157÷2=78.5