Apply the distributive property to create an equivalent expression.
6(5x – 3)=

Answer:

Your answer is "H"

Step-by-step explanation:

The answer is the answer is H

Answer:

He can buy 10 cds

Step-by-step explanation:

125-30=95

95 divided by 9 = 10.5555555556

Answer:

2=72 4=148  6=222  10=370 15=555 16=592

sorry about the second part i didnt see it

Answer:

148, 3 , 740, 1110, 8.

Step-by-step explanation:

Miles: 148 + 740 + 1,110 = 1,998

Gallons: 2 + 4 + 3 + 10 + 15 + 8 = 42

Answer:

I think the second one

Step-by-step explanation:

Answer:

the first

one

Step-by-step explanation:

Answer:

Because blue has the least amount of marbles in there

Step-by-step explanation: Because Blue has 2 blue marbles which are smaller than any one of the rest of the marbles. Ur welcome

Mark as brainlyest?

The probability of getting not blue marble is [tex]\frac{7}{8}[/tex].

What is probability?

Probability is a measure of happening or non-happening of the outcomes of a random experiment.

Probability formula

P(E) = number of favorable outcomes/ total number of outcomes

According to the given question.

Total number of red marbles = 5

Total number of yellow marbles = 4

Total number of green marbles = 5

Total number of blue marbles = 2

⇒ Total number of marbles = 5 + 4 + 5 + 2 = 16

So, total number of outcomes = 16

Now, probability of getting blue marble = [tex]\frac{2}{16} = \frac{1}{8}[/tex]

Therefore, the probability of getting not blue marble = [tex]1 -\frac{1}{8} =\frac{7}{8}[/tex]

Hence, the probability of getting not blue marble is [tex]\frac{7}{8}[/tex].

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Answer:

253cm²

Step-by-step explanation:

Area of the trapezoid = 1/2(b1+b2)*h

Given

h = 22cm

b1 = 10.5cm

b2 = 12.5cm

Substitute

Area of the trapezoid = 1/2(10.5+12.5)*22

Area of the trapezoid = 1/2(23)*22

Area of the trapezoid =11*23

Area of the trapezoid = 253cm²

Hence the area of the trapezoid is 253cm²

Answer:

b

Step-by-step explanation:

Answer:

20 ft.

Step-by-step explanation:

You can solve this as a proportion:

[tex]\frac{1}{2} = \frac{10}{y}[/tex]

The y is equal to 20.

Hope it helps!

Answer:

1.5 hours  

Step-by-step explanation:

Answer:

1.5 hours

Step-by-step explanation:

15 men can dig a trench 90 feet deep in 3 hours. So, first, we have to divide 90 by 3 to find the depth that 15 men can dig in 1 hour.

90/3 = 30

Next, we need to divide 30 by 15 to find how deep 1 man can dig in 1 hour.

30/15=2.

Now, since there are 16 men in this second project, we need to multiply 16 by 2 to find how much 16 men can dig in 1 hour.

16x2 = 32.

Finally, we have to add 16 to get 48.

Since we added the depth for 1 hour plus the depth for half an hour to get the total depth, we can say that 16 men can dig 48m in 1.5 hours.

Answer:

well your first two are going to be 0.05 and the late one is 0.5

Step-by-step explanation:

hope this helps tell if wrong

1. 0.5% = .005

2. 5% = .05

3. 50% = .50

Just move the decimal to the left two times

Answer:

C.

Step-by-step explanation:

The answer is C !!! :)

Answer:

(-infinity, -2) ∪ (-2, infinity)

Step-by-step explanation:

I will have to assume that you meant

f(x)=(x-3)/(x+2).  You must use parentheses to specify the order of operations in this problem.

x can take on any value except -2, at which the function is undefined.

Thus, the domain is (-infinity, -2) ∪ (-2, infinity)

Answer:

(x,y) becomes (-y,x) so (3,2) would become (-2,3)

(3/4 km)/(1/4 hour) = (3 km)/hour

Answer:

Option (1)  ;   y = 7x

Step-by-step explanation:

(1) reads y = 7x, a line with slope 7, therefore the rate of change in this is 7

(2) says that y increases 12 units every time that x increases 4 Then the rate of change is: (increase in y / increase in x = 12/4 =3

(3) shows a table from which we can see that an increase of y in 8 corresponds to an increase of x in 2:  rate of change = (8 - 0) , (2 - 0) = 4

(4) shos a line with slope (rate of change) given by:  (12 - 0) / (2 - 0) = 12/2 = 6

Therefore, the greatest rate of change is shown by the first expression  

y = 7 x

Answer:

the lines are neither

Step-by-step explanation:

1 L = 1000 mL
1 pint = 473.176 mL
1000 mL in decimals = 0.001
8 ounces = 236.588 mL
473.176 + 0.001 + 236.580 = 709.765
The patient consumed 709 mL or 709.765 mL with decimals.

Answer:

b and d

Step-by-step explanation:

Answer:

0.192 hour

Step-by-step explanation:

41$ / 8 = 0.192 hours = 11.703 minutes

Answer:

s

Step-by-step explanation:

Answer:

the answer is b well i dont know i cant see any thing

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

(0,8)

Step-by-step explanation:

First, we must arrange this equation into slope-intercept form, or  y=mx+b form.

Equation: y-8=2x

Add 8 to both sides: y=2x+8

Now that the equation is in slope-intercept form, it is easy to find the y-intercept, as it  is just the b-value.

In this case, the b-value is 8, so the y-intercept is (0,8).

Let me know if  this helps!

The y-intercept of the equation y - 8 = 2x is 8. This means that the line intersects the y-axis at the point (0, 8), where the y-coordinate is 8.

To find the y-intercept of the equation y - 8 = 2x, we need to set x to zero and solve for y.

Let's substitute x = 0 into the equation:

y - 8 = 2(0)

y - 8 = 0

y = 8

Therefore, the y-intercept of the equation y - 8 = 2x is 8. This means that the line intersects the y-axis at the point (0, 8), where the y-coordinate is 8.

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Answer:

There's no concern that water will dilute the digestive juices or interfere with digestion. In fact, drinking water during or after a meal actually aids digestion. Water is essential for good health. Water and other liquids help break down food so that your body can absorb the nutrients.

Answer:

chewing on it or by ice

Step-by-step explanation:

Answer:

1,280in cubes

Step-by-step explanation:

For one box it would be 4 x 4 x 4=64. Then for 20 boxes it would be 64 x 20= 1,280 cubic inches.

Step-by-step explanation:

Given

6x^4 - 30x³ - 84x²

= 6x² ( x² - 5x - 14 )

= 6x² ( x² - ( 7 - 2 ) x - 14 )

= 6x² ( x² - 7x + 2x - 14 )

= 6x² {x(x - 7) + 2 ( x - 7)}

= 6x² ( x - 7) (x +2 )

Hope it will help :)

Answer: 6x² ( x - 7) (x +2 )

Step-by-step explanation:

Answer:

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Step-by-step explanation:

For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The phone lines to an airline reservation system are occupied 61% of the time.

This means that [tex]p = 0.61[/tex]

If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls

This is P(X = 5) when n = 11. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]

0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls

Answer:

[tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]

General Formulas and Concepts:

Alg I

Terms/CoefficientsFactorExponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]

Pre-Calc

[Right Triangle Only] Pythagorean Theorem: a² + b² = c²

a is a legb is a legc is hypotenuse

Trigonometric Ratio: [tex]\displaystyle sec(\theta) = \frac{1}{cos(\theta)}[/tex]

Trigonometric Identity: [tex]\displaystyle tan^2\theta + 1 = sec^2\theta[/tex]

TI: [tex]\displaystyle sin(2x) = 2sin(x)cos(x)[/tex]

TI: [tex]\displaystyle cos^2(\theta) = \frac{cos(2x) + 1}{2}[/tex]

Calc

Integration Rule [Reverse Power Rule]:                                                                [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

IP [Addition/Subtraction]:                                                             [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

U-Substitution

U-Trig Substitution: x² + a² → x = atanθ

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {\frac{dx}{(81x^2 + 4)^2}}[/tex]

Step 2: Identify Sub Variables Pt.1

Rewrite integral [factor expression]:

[tex]\displaystyle \int {\frac{dx}{[(9x)^2 + 4]^2}}[/tex]

Identify u-trig sub:

[tex]\displaystyle x = atan\theta\\9x = 2tan\theta \rightarrow x = \frac{2}{9}tan\theta\\dx = \frac{2}{9}sec^2\theta d\theta[/tex]

Later, back-sub θ (integrate w/ respect to x):

[tex]\displaystyle tan\theta = \frac{9x}{2} \rightarrow \theta = arctan(\frac{9x}{2})[/tex]

Step 3: Integrate Pt.1

[Int] Sub u-trig variables:                                                                                 [tex]\displaystyle \int {\frac{\frac{2}{9}sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]:                                                                           [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Evaluate exponents:                                                                                [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4tan^2\theta + 4]^2}} \ d\theta[/tex][Int] Factor:                                                                                                      [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4(tan^2\theta + 1)]^2}} \ d\theta[/tex][Int] Rewrite [TI]:                                                                                              [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4sec^2\theta]^2}} \ d\theta[/tex][Int] Evaluate exponents:                                                                                [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{16sec^4\theta} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]:                                                                          [tex]\displaystyle \frac{1}{72} \int {\frac{sec^2\theta}{sec^4\theta} \ d\theta[/tex][Int] Divide [ER - D]:                                                                                         [tex]\displaystyle \frac{1}{72} \int {\frac{1}{sec^2\theta} \ d\theta[/tex][Int] Rewrite [TR]:                                                                                            [tex]\displaystyle \frac{1}{72} \int {cos^2\theta} \ d\theta[/tex][Int] Rewrite [TI]:                                                                                              [tex]\displaystyle \frac{1}{72} \int {\frac{cos(2\theta) + 1}{2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]:                                                                          [tex]\displaystyle \frac{1}{144} \int {cos(2\theta) + 1} \ d\theta[/tex][Int] Rewrite [Int Prop - A/S]:                                                                          [tex]\displaystyle \frac{1}{144} [\int {cos(2\theta) \ d\theta + \int {1} \ d\theta][/tex]  

Step 4: Identify Sub Variables Pt.2

Determine u-sub for trig int:

u = 2θ

du = 2dθ

Step 5: Integrate Pt.2

[Ints] Rewrite [Int Prop - MC]:                                                                       [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {2cos(2\theta) \ d\theta + \int {1 \theta ^0} \ d\theta][/tex][Int] U-Sub:                                                                                                     [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {cos(u) \ du + \int {1 \theta ^0} \ d\theta][/tex][Ints] Integrate [Trig/Int Rule - RPR]:                                                             [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(u) + \theta + C][/tex][Expression] Back Sub:                                                                                 [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(2 \theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Rewrite [TI]:                                                                                           [tex]\displaystyle \frac{1}{144} [\frac{1}{2}(2sin(\theta)cos(\theta)) + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply:                                                                                                 [tex]\displaystyle \frac{1}{144} [sin(\theta)cos(\theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Back Sub:                                                                                             [tex]\displaystyle \frac{1}{144} [sin(arctan(\frac{9x}{2}))cos(arctan(\frac{9x}{2})) + arctan(\frac{9x}{2}) + C][/tex]

Step 6: Triangle

Find trig values:

[tex]\displaystyle tan\theta = \frac{9x}{2}[/tex]

[tex]\displaystyle \theta = arctan(\frac{9x}{2})[/tex]

tanθ = opposite / adjacent; solve hypotenuse of right triangle, determine trig ratios:

sinθ = opposite / hypotenuse

cosθ = adjacent / hypotenuse

Leg a = 2

Leg b = 9x

Leg c = ?

Sub variables [PT]:                                                                                         [tex]\displaystyle 2^2 + (9x)^2 = c^2[/tex]Evaluate exponents:                                                                                      [tex]\displaystyle 4 + 81x^2 = c^2[/tex][Equality Property] Square root both sides:                                                  [tex]\displaystyle \sqrt{4 + 81x^2} = c[/tex]Rewrite:                                                                                                           [tex]c = \sqrt{81x^2 + 4}[/tex]

Substitute into trig ratios:

[tex]\displaystyle sin\theta = \frac{9x}{\sqrt{81x^2 + 4}}[/tex]

[tex]\displaystyle cos\theta = \frac{2}{\sqrt{81x^2 + 4}}[/tex]

Step 7: Integrate Pt.3

[Exp] Sub variables [TR]:                                                                               [tex]\displaystyle \frac{1}{144} [\frac{9x}{\sqrt{81x^2 + 4}} \cdot \frac{2}{\sqrt{81x^2 + 4}} + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply:                                                                                                 [tex]\displaystyle \frac{1}{144} [\frac{18x}{81x^2 + 4} + arctan(\frac{9x}{2}) + C][/tex][Exp] Distribute:                                                                                             [tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]

Answer:

3= 25 4= 20 25= 5

Step-by-step explanation:

its a pattern. the top goes up by ones and the bottom goes up by fives.

Answer:

I took the test!!

Step-by-step explanation:

Pit this in your calculator exactly like this 4,000(1.05)^5 and you get the answer 5,105.12625. So round your answer to the nearest dollar, which is 5,105.

9514 1404 393

Answer:

  14.9 cm

Step-by-step explanation:

To find c using the Law of Sines, you must know angle C. That is found from ...

  C = 180° -A -B = 180° -150° -12° = 18°

Then the law of sines tells you ...

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)

  c ≈ 14.9 cm