Use the figure shown.

What is the length of side a?
a =

Step-by-step explanation:

no solutions

because the absolute value of any number can never be negative.

Answer:

14 children are wearing a red shirt in the park.

Step-by-step explanation:

The fraction 7/8 is 7 out of 8 but your total kids is 16 so we can go ahead and multiply by 2.

(7*2)/(8*2)

14/16

So now it's 14 out of 16 kids which is the total you have.

Conclusion: 14 Children are wearing a red shirt in the park.

Answer:

10 clients per week

Step-by-step explanation:

We know that there are 4 week in a month

48/4 = 12

And we know that there are 30 days in a month.

12*30 = 360

There are 365 days in a year

360x = 50,000

x = 139 (rounded)

We know he makes $100 per clients

139*100 = $13,900

To get to $50,000 we must divide

50,000 / 13,900 = 3.6

Now multiple 139 by 3.6

139*3.6 = 500

Divide by the week worked

500/48 = 10 (rounded)

So....

48 weeks * 10 clients = 480 total clients he saw

480 clients saw * $100 = $48,000

Clint needs to see 10.42 clients each week to earn $50,000 a year.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Clint makes $100 per client that he sees.

∴ He needs to see (50000/100) clients to make $50,000.

= 500 clients per year.

Also given, he works 48 weeks a year.

∴ He needs to see (500/48) clients each week.

= 10.42 clients each week.

learn more about the unitary method here :

https://brainly.com/question/28276953

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Answer:

The measurement  of side LI = 24

Step-by-step explanation:

In the question, it is given that Quadrilateral IJKL is reduced to quadrilateral I'J'K'L' which is 1/2 the times of measurement of side of the Quadrilateral IJKL

I'L' = 12

And IL will be 2 times the measurement of I'L'

Hence, IL = 2*12 = 24

9514 1404 393

Answer:

  20 miles

Step-by-step explanation:

The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).

  d² = 12² +16²

  d² = 144 +256 = 400

  d = √400 = 20

The two trains are 20 miles apart.

__

Additional comment

You may recognize the given distances are in the ratio 3 : 4.  You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)

Answer:

Negative

Step-by-step explanation:

The line is trending downwards, which is indicative of a negative slope.

Answer:

42.50 units²

Step-by-step explanation:

Area of the trapezoid = ½(AB + DC)×AD

AB = 6

DC = 11

AD = ?

Use trigonometric function, TOA to find AD:

Tan 45 = Opp/Adj

Opp = AD

Adj = 11 - 6 = 5

Tan 45 = AD/5

5 × tan 45 = AD

AD = 5

✔️Find Area of trapezoid.

Area = ½(AB + DC)×AD

= ½(11 + 6)×5

= 42.50 units²

Answer:

Step-by-step explanation:

Let the blue point is located at the origin.

Therefore, coordinates of the vertices of the given triangle ABC will be,

A(2, 1), B(2, -1) and C(3, -1)

Rule for the dilation of a point (x, y) by a scale factor 'k' will be,

(x, y) → (kx, ky)

By applying this rule, coordinates of the image points of the vertices will be,

A(2, 1) → A'(2k, k)

          → A'(6, 3) for (k = 3)

B(2, -1) → B'(6, -3)

C(3, -1) →C'(9, -3)

Answer:

So this is the right answer.....

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

A three with a line above it is .33333....repeating and that is equal to [tex]\frac{1}{3}[/tex]. (Just something you learn and have to remember.)

This can be rewritten as

[tex]3\frac{2}{3} +2\frac{1}{3}[/tex]

then we just add

[tex]5\frac{3}{3} =6[/tex]

Hope this helps

1 sunflower costs $2.25 because 18/8=2.25

Answer:

4x+10

Step-by-step explanation:

Judith= x

Harry = 2x

Janessa= x+10

expression in total= x+2x+x+10 = 4x+10

Answer:

1/2 < 3/4,

6/12 < 5/8,

2/3 = 4/6,

3/8 > 1/4

Step-by-step explanation:

Plz mark as Brainllest

Answer:

22%

Step-by-step explanation:

Answer:2,7,12,19

Step-by-step explanation:

a2=a2-1+5=-3+5=2

a3=a3-1+5=a2+5=2+5=7

a4=a3+5=12 and continue so on

Step-by-step explanation:

Total Material needed = Volume of box

= Length x Width x Height =

[tex]6 \times 4 \times 4 \\ = 96 {cm}^{3} [/tex]

Answer:

3 sides

180 degrees

Yes

False

60 degrees

Extending to the side or moving to the side

Rhombus, Square, Rectangle

Acute

Sides

Angles

Answer:

Which of the following best states why the Battle of Antietam was considered a turning point in the war?

Step-by-step explanation:

im smart∈∉∧¬∠⇅khvycgufykxd

Answer:10% rate:

Principal = p

Rate = 0.10

Interest = 0.10p

5% rate:

Principal = 15500 - p

Rate = 0.05

Interest = 0.05(15500 - p) = 775 - 0.05p

0.10p + (775 - 0.05p) = 1450

0.05p + 775 = 1450

0.05p = 675

p = 13500

10% rate:

Principal = p = $13,500

5% rate:

Principal = 15500 - p = 15500 - 13500 = $2000

Step-by-step explanation:

hope it helps

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Answer: 12

Explanation:

6 / 1/2 = 6 x 2 = 12

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The sum of the base lengths is twice the length of the midline.

  EF +HG = 2JK

  (3x +2) +(7x -2) = 2(25)

  10x = 50 . . . . . . simplify

  x = 5 . . . . . . . . . divide by 10

Answer:

the answer is x=5

Step-by-step explanation:

:)))))

Answer:

it would be 0.0125 i guess

Answer:

1250

Step-by-step explanation:

500000 / 400 = 1250

Answer:

36 cm

Step-by-step explanation:

Perimeter = sum of lenght of all sides

Perimeter = 6 + 10 + 8 + 12

Perimeter = 36 cm

Answer:

A. 3s

Step-by-step explanation:

The height of the object after t seconds is given by:

[tex]h(t) = -16t^2 + 144[/tex]

When will the object hit the ground?

It hits the ground after t seconds, and t is found when [tex]h(t) = 0[/tex]. So

[tex]h(t) = -16t^2 + 144[/tex]

[tex]0 = -16t^2 + 144[/tex]

[tex]16t^2 = 144[/tex]

[tex]t^2 = \frac{144}{16}[/tex]

[tex]t^2 = 9[/tex]

[tex]t = \sqrt{9}[/tex]

[tex]t = 3[/tex]

3 seconds, so the correct answer is given by option a.

Answer:

b. yes type II error

Step-by-step explanation:

When the null hypothesis is false as is in this case and it is accepted so the decision made is wrong. This is a type II error.

When we accept the null hypothesis when actually it is false it is called a type II error.

In reality, the mean number of shades the toothpaste that whitens the teeth is three shades.

Where as the null hypothesis was that the four shades  are taken as the mean number of shades the toothpaste whitens the teeth.

Therefore as the null hypothesis which is actually false is accepted so a wrong decision is made a type II error is made.

Answer:

negative multiples of 3 less than -3

Step-by-step explanation:

if m <9, then

m ={8,7,6,5,4,3,2,1,0,-1,-2,....,..........}

And |6m-55|

So is said that,

when, m= 8

6(8)-55=-6

when, m=7

6(7)-54=-12

when, m = 6

6(6)-54=-18

Since the trend is negative multiples of 3 less than -3

this is my answer

Answer:

Volume of triangular pyramid = 56 mi³

Step-by-step explanation:

Given:

Height of base = 6 mi

Base of triangular base = 8 mi  

Height of triangular pyramid = 7 mi

Find:

Volume of triangular pyramid

Computation:

Area of triangular pyramid = (1/2)(b)(h)

Area of triangular pyramid = (1/2)(6)(8)

Area of triangular pyramid = 24 mi

Volume of triangular pyramid = (1/3)(A)(H)

Volume of triangular pyramid = (1/3)(24)(7)

Volume of triangular pyramid = 56 mi³

Answer:

b

Step-by-step explanation:

The regression which comprises of both entity & time effect can be expressed as;

[tex]Y_{it} = B_1X_{it} + \alpha_i + \lambda_i + \mu_{it}[/tex]

Where;

take charge of the state-explicit qualities that don't change over the long run

 controls the variables that differ after some time yet not across substances,

[tex]u_{it}[/tex] controls state-specific qualities which shift after some time.

Thus, from the options given above:  

The first option lacks or does not involve the time effect as we are only looking for a particular year.

The second option comprises only 2 years of data which implies that we have a time effect involved. In addition to that, there exist a few variables in executing measurements that join fixed effects. In this case, we can utilize regression with time and fixed effect.

(c) The information here is quarterly over an extended period of time. Hence, it would prefer a period arrangement information than a fixed and time impact information. Thus, this is incorrect.

(d) Since no time variable is associated, we reject the option.

Answer:

Step-by-step explanation:

From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:

                                            Alloy A        Alloy B

Sample mean                    [tex]\bar {x} _A = 49.5[/tex]      [tex]\bar {x} _B = 45.5[/tex]

Equal standard deviation    [tex]\sigma_A = 5[/tex]         [tex]\sigma_B= 5[/tex]

Sample size                          [tex]n_A = 30[/tex]        [tex]n_{B}= 30[/tex]

Mean of the sampling distribution is :

[tex]\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5 \\ \\ = 4.0[/tex]

Standard deviation of sampling distribution:

[tex]\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667} \\ \\ =1.2909[/tex]

Hypothesis testing.

Null hypothesis:  [tex]H_o: \mu_A -\mu_B = 0[/tex]

Alternative hypothesis:  [tex]H_A:\mu_A -\mu_B > 4[/tex]

The required probability is:

[tex]P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}} \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\ = 1 - [NORMDIST(3.10)] \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq 0.0010[/tex]

This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.

b)

Since the P-value is very small which is lower than any level of significance.

Then, we reject [tex]H_o[/tex] and conclude that there is enough evidence to fully support alloy A.

Answer:

-6m+3

Step-by-step explanation:

"use the distributive property to multiply 3(-2m+1)​"

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The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, a(b + c) = ab + ac. The division property of inequality states that two unequal values divided by a positive number retain the same relationship.

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We can simplify this into-

3(-2m) + 3(1)

Now, we can multiply.

-6m + 3

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Hope I Helped, Have a Nice Day!

* Feel Free to ask any questions to clarify :) *

             -Aadi x