James needs to work 70 hours every 4 weeks to meet the quota for his school internship

Answer:

2) Vertical scale does not begin with zero

Answer:

Volume = 840 cm cubed

Step-by-step explanation:

area of cross section * length

(5*12) / 2 = 30

30 * 28 = 840cm cubed

Hi there!

a.

At x = 1 for the function 'f', we are given that:
f'(1) = 2

f(1) = -1 ⇒ (1, -1)

We can use the point-slope formula to make a line with the information:

y - y₁ = m(x - x₁)

Plug in the derivative for 'm' and the coordinates:
y - (-1) = 2(x - 1)

y + 1 = 2x - 2

y = 2x - 3

B.

A point of inflection is where the second derivative changes signs, or f''(a) = 0.

According to the information given, f''(1) = 0, so there IS a point of inflection at this point.

C.

Solve for g'(1) using the given equation:
g'(x) = x²[2f(x) + f'(x)]

Use the given information:
g'(1) = (1²)[2f(1) + f'(1)] = (1)(-2 + 2) = 0

The slope is 0, so the graph is a horizontal line.

We are given that g(1) = 3, so:
y = 3 is our equation for the tangent line.

D.

We can use the power rule to solve.

[tex]\frac{dy}{dx}f(x) * g(x) = f'(x)*g(x) + g'(x)* f(x)[/tex]

Let:
[tex]f(x) = x^2\\g(x) = 2f(x) + f'(x)[/tex]

Solve:
[tex]2x(2f(x) + f'(x)) + x^2(2f'(x) + f''(x)) \\ \\=4xf(x) + 2xf'(x) + 2x^2f'(x) + x^2f''(x)\\\\ = 4xf(x) + (2x + 2x^2)f'(x) + x^2f''(x)\\\\= 4xf(x) + 2x(x + 1)f'(x) + x^2f''(x)[/tex]

We can find this expression's equivalent for x = 1, and use this value to determine whether there is a local min or max at this value.

[tex]g''(1) = 4(1)(-1) + 2(1)(2)(2) + (1^2)(0) = -4 + 6 = 2[/tex]

Thus, since the second derivative is positive at this point, there is a LOCAL MIN at x = 1.

Answer:

The answer is 30.86

Step-by-step explanation:

Answer:

30.86

Step-by-step explanation:

Answer:

Step-by-step explanation for Part-2:

We know that:

Work:

Hence, the measure of ∠EGF is 105°.

Step-by-step explanation for Part-3:

We know that:

Work:

Hence, the measure of ∠D is 65°

Answer:

it would be 18

Step-by-step explanation:

1/4 is 6

2/4 is 12

3/4 is 18

4/4 is 24

You add 6 each time for this one.

Answer:

7th Place

Step-by-step explanation:

Seeing as how the number of runners in front of Paula is [tex]\frac{1}{3}[/tex] the number of runners behind her,

Assign the number of people behind Paula to a variable:

# of people behind Paula = b, which means

# of people ahead of Paula = [tex]\frac{1}{3}[/tex] b

Use the variable to make an equation:

b (people behind Paula) + [tex]\frac{1}{3}[/tex] b (people ahead of Paula) + 1 (Paula) = 25

b + [tex]\frac{1}{3}[/tex] b + 1 = 25

Solve for b:

b + [tex]\frac{1}{3}[/tex] b + 1 = 25

b + [tex]\frac{1}{3}[/tex] b = 24

[tex]\frac{4}{3}[/tex] b = 24

b = 18

If there are 18 people behind Paula, there are [tex]\frac{1}{3}[/tex] * 18 people in front of her, which is 6; This puts Paula in 7th place.

[tex]\\ \tt\hookrightarrow x^2-7x+10=10[/tex]

[tex]\\ \tt\hookrightarrow x^2-7x=0[/tex]

[tex]\\ \tt\hookrightarrow x(x-7)=0[/tex]

[tex]\\ \tt\hookrightarrow x=(0,7)[/tex]

The resulting roots of the equation x2 - 7x + 10 = 10 is mathematically given as

x=0, x=7

Question Parameters:

The real roots of the equation x2 - 7x + 10 = 10

Generally the expression for the equation   is mathematically given as

x^2 - 7x + 10 = 10

Therefore

x^2 - 7x =0

x(x-7)=0

Therefore

The resulting roots are

x=0

x=7

For more information on Equation

https://brainly.com/question/2263981

we know is a right triangle, so one angle must be 90°, we also know is an isosceles, that means it has twin sides, and we also know that the hypotenuse or slanted side is 8, so the triangle must be a 45-45-90 triangle,  Check the picture below.

Answer:

7 1/2

Step-by-step explanation:

The number that is being divided is the dividend

Answer:

[tex]8x^{5}[/tex]

Step-by-step explanation:

Multiply 2 and 4 and add both exponents

2 x 4 = 8

[tex]x^{2+3} =x^{5}[/tex]

Now we have [tex]8x^{5}[/tex]

Answer:a

Step-by-step explanation:

The numbers representing the first 5 members selected is option A. 24, 07, 59, 62, 20.

A random number table is a table of digits which are used to select random samples.

The random number table can be used as described below.

Given population size is 78 out of which 10 members has to be selected.

Each member has been numbered from 01 to 78.

The given line from a random number table is,

24000  75983  62200  91518  11198  88936

We have to select the first 5 members.

Select consecutive two digits in order since the number we assigned consists of two digits.

Select two digits from the first. It is 24.

First member selected is one with number 24 assigned.

Next two digits are 00. Since there are no member with 00 as the number assigned, skip it.

Next two digits are 07. Select it.

Next two digits are 59. Select it

Next two digits are 83, which is not included in the set 01 to 78. Skip it.

Next two digits are 62. Select it.

Next two digits are 20. Select it.

So the selected members are 24, 07, 59, 62, 20.

Hence the selected members using the random number table are 24, 07, 59, 62, 20.

Learn more about Random Number Table here :

https://brainly.com/question/18534135

#SPJ2

Answer:

21/29

Step-by-step explanation:

right angle box means that area is the bottom

soh cah toa

hypotenuse is 29

hypotenuse is usually the biggest number

opposite is 21

sin is opposite/ hypotenuse

sin is 21/29

Answer:you would use a demand chart

Step-by-step explanation:

Answer:

C. A demand schedule.

Step-by-step explanation:

The demand curve is a visual representation of how many units of a good or service will be bought at each possible price. It plots the relationship between quantity and price that's been calculated on the demand schedule, which is a table that shows exactly how many units of a good or service will be purchased at various prices.

As you can see in the chart below, the price is on the vertical (y) axis, and the quantity is on the horizontal (x) axis. This chart plots the conventional relationship between price and quantity. The lower the price, the higher the quantity demanded. As the price decreases from p0 to p1, the quantity increases from q0 to q1.

Key words and Phrases:

quantity, price, demand, good, service, demand curve, demand schedule

Want to learn more about demand schedules?

Click here to learn more: https://brainly.com/question/12727568

Answer:

adult’s ticket = $14   ||     child’s ticket = $6

Step-by-step explanation:

Let adults ticket cost be a , children's ticket cost be c

4a + 3c = $74 ........from theory 1

2a + 5c = $58 ..........from theory 2

Making a the subject for both:

4a + 3c = $74

4a = 74 - 3c

a = ( 74 - 3c )/4 ........equation 1

2a + 5c = $58

2a = 58 - 5c

a = ( 58 - 5c )/2 ........equation 2

Solving simultaneously:

( 58 - 5c )/2 =  ( 74 - 3c )/4

4( 58 - 5c ) = 2( 74 - 3c )

232 - 20c = 148 -6c

232 -148 = -6c + 20c

84 = 14c

c = $6

Each children's ticket cost is $6

Then the adults ticket cost: ( 74 - 3c )/4

                                            : ( 74 - 3(6) )/4

                                            : $14

Step-by-step explanation:

x + x + x = 90°

3x = 90°

x = 90/3 = 30

x = 30°

now,

apply angle sum property to find the value of y

as, x = 30

so,

30 + 90 + y = 180

120 + y = 180

y = 180 - 120 = 60

y = 60° ans.

therefore, option B is correct

hope this answer helps you!

Answer:

X×2X+5=465

2X+5=456

2X=465÷5

Answer:

wouldn't it be 9/3 in fractions?

Answer:

the answer is 3 wholes of a fraction

Step-by-step explanation:

4 1/3 - 1 1/3 = 3 = 3

13/3 - 4/3 = 9/3 = 3

3 = 3/1 = 6/2 = 9/3 = 12/4 = 15/5 = 18/6 = 21/7 = 24/8 = 27/9 = 30/10 = 33/11 = 36/12....

Answer:

19.5 cm

Step-by-step explanation:

The median of a data set is the middle number. It can be easily found by crossing out the first value then the ending value, and you keep repeating that pattern. However, in this case, when we cross them out, we're left with the numbers 18 and 21. When we come across a problem like this, we find the mean of 18 and 21 by adding them up and then dividing them by 2. 18 + 21 is 39, and 39/2 is 19.5.

Therefore, the answer is 19.5 cm.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

D

Step-by-step explanation:

Answer:

x = ± [tex]\sqrt{\frac{23}{2\sqrt{2}}}[/tex]

Step-by-step explanation:

-8 - 8x^2= -31

Since this is a quadratic, it needs to be factored.

First, move the x to the other side:

-8 = 8x^2 - 31

Then, get the x alone by first adding 31:

23 = 8x^2

then dividing by 8:

x^2 = 23/8

Finally, square root both sides and remember the even roots property:

x = ± [tex]\sqrt{\frac{23}{8}}[/tex]

and simplify the root 8:

x = ±  [tex]\sqrt{\frac{23}{2\sqrt{2}}}[/tex]

Note: This answer may have a mistake.

Answer:

Y=0.3125

Step-by-step explanation:

1/8=2/5Y

multiplying both side by 5/2

5/2x1/8=2/5Yx5/2

Y=5/16

Y=0.3125

Answer:

Step-by-step explanation:

Five equivalent ratios:

7:8  = 14:16

      = 21:24

      = 70:80

      = 49:56

      = 35:40

Answer:

84

Step-by-step explanation:

2x2x3x7=84

Answer:

i think it's (-5,-1,1,2,4,5)