A 6th grade math teacher can grade 15 homework assignments in 24 minutes. If he works at the same rate, how long should it take him to grade 36 homework assignments?[type your answer as a decimal number]

Answer:

See explanation below

Step-by-step explanation:

Given the expression

y- lny= x^2+1

Differentiate implicitly with respect to x

dy/dx - 1/y dy/dx = 2x+0

Factor out dy/dx

dy/dx (1 - 1/y) = 2x

dy/dx (y-1/y) =2x

Cross multiply

dy/dx (y-1) = 2xy

Divide both sides by y-1

dy/dx (y-1)/y-1 = 2xy/y-1

dy/dx = 2xy/y-1

Hence the given relation is an implicit solution to the given differential equation

Answer:

9

Step-by-step explanation:

Answer

-x

Step-by-step explanation:

8x - 10x = 2x

2x + x = -1x

Answer:

53.1°

Step-by-step explanation:

Let x represent the wangle of elevation from B to C

Reference angle = x

Opposite side to x = 16 - 4 = 12

Adjacent = 9

Apply trigonometric ratio to find x.

Thus:

[tex] tan(x) = \frac{12}{9} [/tex]

[tex] x = tan^{-1}(frac{12}{9}) [/tex]

[tex] x= 53.1 [/tex] (nearest tenth)

Angle of elevation from B to C = 53.1°

Answer:

449

:

−

106 so 106 is your answer

Step-by-step explanation:

Answer:

449

:

−

106 so 106 is your answer

Answer:

fgvgfvvfgfvgv

Step-by-step explanation:

Answer:

Step-by-step explanation:

With two congruent sides the third side is greater against a greater angle.

34 < 36, therefore:

And, the angle should have a positive value:

Combined, we get:

Answer:

9.1

Step-by-step explanation:

cube root of 753.571 is 9.1

Answer:

the slope of the line passing through (4, 4)  and (9, 1)   is:

Slope = -3/5

Step-by-step explanation:

Given the points on the graph

Here:

(x₁, y₁) = (4, 4)

(x₂, y₂) = (9, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [1 - 4] / [9 - 4]

               = -3 / 5

Thus, the slope of the line passing through (4, 4)  and (9, 1)   is:

Slope = -3/5

Answer:

the answer is D.

Step-by-step explanation:

Since the square: (3√15) is common in both of them, you only focus on 21 and 9. if you subtract 9 from 21, it will give you 12. so, just add (3√15) to 12, which will give you: 12^3sqrt15

Answer:

False

Step-by-step explanation:

The number on top of the division house is called the numerator.

The quotient is the result of the numerator / denominator.

Answer: The smallest angle of rotation is the angle which mas A to E, 72°

Step-by-step explanation:

Answer:

Angle E

Step-by-step explanation:

Answer:

$32.10  

Step-by-step explanation:

The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:

Future value=weekly payment*(1+r)^n-1/r

Future value=$35,000

weekly payment is the unknown

r=weekly interest rate=4.25%/52=0.08173077% ( I use 8 decimal places in order to achieve accuracy)

n=number of weekly payments in 15 years=15*52=780

35000=weekly payment*(1+0.08173077% )^780-1/0.08173077%

35000=weekly payment*(1.89125311 -1)/0.000817308

35000=weekly payment*0.89125311 /0.000817308

weekly payment=35,000*0.000817308 /0.89125311

weekly payment=$32.10

Answer:

A vegetable is not a broccoli

Step-by-step explanation:

To write a converse of a conditional statement you interchange the hypothesis and the conclusion.

The statement is : Broccoli is a vegetable

The hypothesis : Broccoli

The conclusion : is a vegetable

Converse : A vegetable is not a broccoli

Answer:

false

Step-by-step explanation:

[tex]x=3, y=8\\|x-2|+7 = |3-2|+7 = |1|+7=8\\[/tex]

The left side of the inequality is equal to the right side of the inequality and not less than.

Answer:

He is in debt money, therefore he has less than 0$ which means he has a negative sum

Step-by-step explanation:

Answer:

9 (5x-1)

Step-by-step explanation:

you have to add 3x and 2x

Answer:

29x-9

Step-by-step explanation:

9(3x)-9(1)+2x

27x - 9 + 2x

27x+2x=29-

29x-9

Answer:

8

Step-by-step explanation:

(20+16−8) ÷ (12−10) − 3(2)

(36-8) ÷ 2- 6

28 ÷ 2- 6

14- 6

8 is the answer.

Answer:

[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, we have that:

14 students prefer hip hop music

There are 18 + 8 + 20 + 14 = 62 students

So

[tex]p = \frac{14}{62} = \frac{7}{31}[/tex]

[tex]\frac{7}{31} = 0.2258 = 22.58\%[/tex] probability that a randomly selected student prefers hip hop music.

Answer:

yes

no

yes

no

hope this helps

Answer:

1. Yes

2. No

3.Yes

4.No

Step-by-step explanation:

I did the test and got it right!

the tenth number in the sequnce is 41.

14, 17, 20, 23, 26, 29, 32, 35, 38, 41, 44, etc.

Answer:

There are 473 millimeters in 1 pint.

Step-by-step explanation:

946 ml in 1 quart.

2 pints in 1 quart

hence,

946 ml in 2 pints

hence in 1 pint we have 946/2 ml

i.e. 473 ml in 1 pint.

:)

Answer:

473 milliliters

Step-by-step explanation:

If there are 946 mL in a quart and there are 2 pints in a quart, divide 946 by 2 to find how many mL are in one pint.

Here's an equation you can set up to solve the problem.

— 946 = 2x

— 946 / 2 = 2x / 2

— 473 = x

So, if we let x stand for the amount of mL in a pint, then 473 = x means there are 473 mL in a pint.

Answer:

-x=5 so x=-5 so x is 5 units to the left of 0

Step-by-step explanation:

Answer:

X=x is 13 units to the left of 0.

Use the drop-down menus to complete the statement about −x.

CLEAR CHECK

−x is

units to the

of 0.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assume that the [tex]20[/tex] mile-per-gallon car consumed all that [tex]75[/tex] gallons of fuel. How far would the cars have travelled?

[tex]20 \times 75 = 1500\; \text{miles}[/tex].

This assumption overestimated the total mileage of the two cars by [tex]1500 - 1325 = 175\; \text{miles}[/tex]. Here's why: for every gallon that the second ([tex]15[/tex] mile-per-gallon) car consumed, this assumption would overestimate the total mileage by [tex]20 - 15 = 5\; \text{miles}[/tex]. Therefore, the overestimation of [tex]175\; \text{miles}[/tex] corresponds to:

[tex]\begin{aligned} & 175\; \text{miles overestimated} \\ & \times \left(\frac{1\; \text{gallon consumed by the second car}}{5\; \text{miles overestimated}}\right)\\ &= \frac{175}{5}\; \text{gallons consumed by the second car} \\ &= 35\; \text{gallons consumed by the second car}\end{aligned}[/tex].

Therefore, the second car consumed [tex]35\; \text{gallons}[/tex]. The first car would have consumed [tex]75 - 35 = 40\; \text{gallons}[/tex].

Verify the results: [tex]40 \times 20 + 35\times 15 = 1325\; \text{miles}[/tex].