Express 30^2/3 in simplest radical form.

#5:

Let's first start by solving for x. The two angles with x's in them form a linear pair, or are supplementary angles, meaning that they add up to 180 degrees.

(4x + 23) + (9x - 38) = 180

13x - 15 = 180

13x = 195

x = 15

Now that we have x, we can solve for y. Alternate interior angles are congruent.

(4x + 23) = (21y - 1)

4(15) + 23 = 21y - 1

60 + 23 = 21y - 1

83 = 21y - 1

84 = 21y

y = 4

#8:

Let's first start by solving for x. The two angles with x's in them are corresponding angles, meaning that they are congruent.

10x = 13x - 33

-3x = -33

x = 11

Now that we have x, let's figure out how we can find y. Looking at the angle with a value of 10x, we can find its supplement. That supplement then, is a corresponding angle with the 5y angle, meaning that they are congruent.

Supplement = 180 - 10x

Supplement = 180 - 10(11)

Supplement = 180 - 110

Supplement = 70

Supplement = 5y

70 = 5y

y = 14

Hope this helps! :)

- #5 -

y = 4

[] First we need to solve for x, these are on a straight line so we can set them equal to 180 degrees and solve because they are supplement angles:

4x + 23 + 9x - 38 = 180

13x - 15 = 180

13x = 195

x = 15

[] Now we will plug-in and solve for one of them

9x - 38

9(15) - 38

135 - 38 = 97

[] Last, the y angle and the angle we just solved for can be added together and set equal to 180 because they are supplement angles:

97 + 21y - 1 = 180

96 + 21y = 180

21y = 84

y = 4

- #8 -

y  = 14

[] First we need to solve for x, these are corresponding angles so we can set them equal to each other:

13x - 33 = 10x

-33 = -3x

11 = x

[] Plug-in and solve for one of them

10x  = 10(11) = 110

[] Last, the line is 180 degrees so we can add them together, set it equal to 180, and solve

110 + 5y = 180

5y = 70

14

- See attached for where I am pulling numbers from -

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer in fraction form is:    y ≤ (1/2)x - 5  or  [tex]y \le \frac{1}{2}x-5[/tex]

Answer in decimal form is:  y ≤ 0.5x - 5

You only need to pick one answer format.

========================================================

Explanation:

The drawing is below.

Let's label the four given points as A,B,C,D

For now, let's focus on the boundary points A(-2, -6) and B(4, -3). A straight line in the form y = mx+b passes through these points. Compute the slope.

m = (y2-y1)/(x2-x1)

m = (-3 - (-6))/(4 - (-2))

m = (-3 + 6)/(4 + 2)

m = 3/6

m = 1/2

m = 0.5

Now let's use one of those (x,y) points along with that m value to find the y intercept b. I'll use the coordinates from point A.

y = mx+b

-6 = 0.5*(-2)+b

-6 = -1 + b

-6+1 = b

-5 = b

b = -5

The equation of the boundary line is y = 0.5x-5 which is the same as saying y = (1/2)x - 5 or [tex]y = \frac{1}{2}x-5[/tex]. We can refer to this as line AB.

-------------------------------

If you were to plot all four points (A,B,C,D) on the same xy grid, then you'd find that point D is on line AB. We're told that point D is a solution to the inequality, which must mean we are going to involve "or equal to" as part of the inequality sign. This will allow points on the boundary to be part of the solution set.

Notice how point C is below line AB. Since point C is also a solution, this means we go for "less than" to shade below the boundary. Overall, the sign we go for is "less than or equal to" or in short ≤

Therefore, the inequality is y ≤ 0.5x - 5

which is the same as writing y ≤ (1/2)x - 5  or [tex]y \le \frac{1}{2}x-5[/tex]

Answer:

3:15 pm

Step-by-step explanation:

You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.

Answer:

D. Function

Step-by-step explanation:

Function:a relationship or expression involving one or more variables.

"the function (bx + c)"

Step-by-step explanation:

by complete angle

x+38+52+220=360

x+310=360

x=360-310

x=50

Answer:

c would be the closest due to the total amount of vitamin c in the objects.

The quantity of fruit which contains an amount of vitamin C closest to the combined content is: C. 1,800 g grams of pineapple.

In this exercise, we would determine the amount of vitamin C that is present in a combination of 50 grams of acerola cherries and 150 grams of kiwifruit.

For acerola cherries:

100 grams of acerola cherries = 1678 mg.

50 grams of acerola cherries = X mg.

Cross-mutiplying, we have:

X = 83,900/100 = 839 mg.

For kiwifruit:

100 grams of kiwifruit = 105 mg.

150 grams of kiwifruit = Y mg.

Cross-mutiplying, we have:

Y = 15,750/100 = 157.5 mg.

Combine vitamins = 157.5 + 839 = 996.5 mg.

Based on intuition, we would choose 1,800 grams of pineapple.

100 grams of pineapple = 56 mg

1,800 grams of pineapple = Z mg.

Cross-mutiplying, we have:

Z = 100,800/100 = 1008 mg.

Thus, 996.5 mg of vitamin C is closest to 1008 mg.

Note: If you do the above computations for other quantities of fruit, you'll get a value far from 996.5 mg.

Read more on vitamins here: https://brainly.com/question/9348916

Answer:

i may need more info on the temperature or do you have to find out

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land

Find g(f(x)) f(x)=3x^2+6x-4 g(x)=-3x+4. f(x)=3x2+6x−4 f ( x ) = 3 x 2 + 6 x - 4 g(x)=−3x+4 g ( x ) = - 3 x + 4. Set up the composite result function.

Answer:

Step-by-step explanation:

i dont know.

Answer:

The answer is 3240

hope it helps

can I get branliest

Answer:

197.34

Step-by-step explanation:

-(-75.9 ) × 2.6

Answer:

-(-75.9)(2.6) = +197.34

Step-by-step explanation:

Find -xy, if x = -75.9 and y = 2.6.  Substitute -75.9 for x and 2.6 for y in -xy:

-(-75.9)(2.6) = +197.34

Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:

C. 5.48%

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].

The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{4000 - 3200}{500}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

1 - 0.9452 = 0.0548 = 5.48%.

Hence option C is correct.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

Your answer is in picture hope it helps

Step-by-step explanation:

Therefore, k = 49.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer: $63.89

Step-by-step explanation:

In order to find the answer, you have to add the amount charged for the soccer cleats plus the amount of the sales tax.

[tex]59.99 + .065(59.99) = $63.889[/tex]

Answer:

14, 4

Step-by-step explanation:

First things first, we can name out pairs with the ratio of 7:2.

7, 2

14, 4

21, 6

We can then test these pairs out with the first condition and find the answer.

The least common multiple has to be 28:

LCM(7, 2) = 14

LCM(14, 4) = 28

Ah, ha! We can see that the least common multiple of 14 and 4 is 28.

MY ANSWER WITH SOLUTIONS

#CARRYONLEARNINGGUYS

Answer: 12 cups

Step-by-step explanation:

Answer:

214 children and 207 adults

Step-by-step explanation:

214 x 1.75=374.5

207 x 2 = 414

414 + 374.5 = 788.5

Answer:

6

Step-by-step explanation:

Complementary angles are two angles that add up to 90°

Supplementary angles are two angles that add up to 180°

Vertical angles are two angles that are opposite of each other and are also congruent

Answer:

All real numbers (infinite solutions)

Step-by-step explanation:

To find the number of solutions, first, distribute and combine the like terms of the equation.

3(x+1)+x+2=2(2x+1)+3

3x+3+x+2=4x+2+3

4x+5=4x+5

Since both sides of the equation are equal, the number of solutions are infinite.

Answer:

5

Step-by-step explanation:

Answer:

y+5=-3(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(10-(-5))/(-3-2)

m=(10+5)/-5

m=15/-5

m=-3

y-y1=m(x-x1)

y-(-5)=-3(x-2)

y+5=-3(x-2)

Answer:

C. 35

Step-by-step explanation:

First, let's put the first notebook.

1 2 3

1 2 4

1 2 5

1 2 6

1 2 7

We lose 1 step at each time.

1 3 2 is not ok because 1 2 3 is same as 1 3 2

5+4+3+2+1

Next, the other one.

4+3+2+1

3+2+1

2+1

1

5+4+3+2+1+4+3+2+1+3+2+1+2+1+1=35

35 different ways  

Answer:

Answer=C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Parallel lines hAve no solutions

Two lines intersection point gives one solution only

One single line denotes to infinite solutions

Option C is correct

Answer:

w= 7

Step-by-step explanation:

8w + 9w - 1 + 62 = 180

17w + 61 = 180

17w = 119

w = 7

The possible functions are:

[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]

The parent function of an absolute value function is:

[tex]f(x) = |x|[/tex]

From the diagram (see attachment), we can see that the function is shifted to the right by few units.

The rule of this translation is:

[tex](x,y) \to (x + b,y)[/tex]

Where b represents the number of units.

So, we have:

[tex]f(x) = |x + b|[/tex]

From the list of given options, the possible functions are:

[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

Answer:

c and f are correct

Step-by-step explanation: