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-7
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5
9
13
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- 12
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Answer:

  3 square units

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  A = 12(1/2)² = 12(1/4) = 3 . . . square units

__

Comment on the working

It might be helpful to you to see how this works when the units of the number are attached to the number.

  A = 12(1/2 unit)² = 12(1/2 unit)(1/2 unit) = 12(1/2)(1/2)(unit)(unit) = 3 unit²

I often choose to keep the units with the numbers, just to make sure that the numbers and units are correct. For example, you can multiply inches by feet, but you get in·ft, which is not square inches and not square feet. You have to do a conversion to get the result in square units.

Answer:-2

Step-by-step explanation:

It’s not -6b because that is showing that it’s getting subtracted

Hope I helped

Answer:

B?

Step-by-step explanation:

I think is B because solar power never run out.

（For the next 5000000000 years at least...）

Answer:

Ok, the first step is to count all the possible selections that we have and the number of options in each selection:

1) Sandwich: 2 options, ham or turkey.

2) Soup, 2 options, tomato or vegetable.

3) Drink, 2 options, coffee or milk.

(i assume that the sandwich and the soup are separated selections)

Now, if the customer chooses at random, the probability that in one given selection he selects a given outcome is equal to the number of options that match the outcome divided by the total number of options for that selection.

Then in the soup selection we have: options that match the outcome (one, is the vegetable soup). Total number of options = 2.

Then the probability is:

P = 1/2 = 0.5

or 0.5*100% = 50% in percentage form.

Answer:

1/2

Step-by-step explanation:

Answer:

What is the question you need help on?

Step-by-step explanation:

Answer:

To add exponents, both the exponents and variables should be alike. You add the coefficients of the variables leaving the exponents unchanged. Only terms that have same variables and powers are added. This rule agrees with the multiplication and division of exponents as well.

Step-by-step explanation:

Pls mark me brainliest and it would mean a lot to me if you can solve my questions too in the link. Thank you :)

https://brainly.com/question/21756641

Answer: 14.94 subscribers/year

Step-by-step explanation:

To calculate the rate of change, we need to take the first derivative of the equation:

\(y^{'} = \frac{dy}{dx} = 14.94\)

Answer:

x=150

Step-by-step explanation:

x+30=180[co-interior angle]

x=180-30

x=150

The canister holds 80 cups and they need 84 cups of flour to make a dozen pizzas. So, the cooks cannot make a dozen pizzas without refilling the canister. The solution has been obtained by using unitary method.

What is the unitary method?

The unitary technique is used to first calculate the value of each individual unit, and only then is the value of the necessary quantity of units calculated.

We are given that a pizzeria stores flour in a 5-gallon container. We assumed that 16 cups make 1 gallon.

So, number of cups that will make 5 gallon is 16 * 5 = 80 cups

Since, each pizza they make uses 7 cups of flour. So, for making 12 pizzas, they require 12 * 7 = 84 cups of flour.

Hence, the cooks cannot make a dozen pizzas without refilling the canister.

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The missing vertex is (12, 6) with an area of 112 in².

A vertex is a point where two or more lines, edges, or curves meet in a geometric shape. In a two-dimensional shape, such as a triangle or quadrilateral, a vertex is where two sides meet.

Given vertices of rectangular design:

(5, 6), (12, −10), and (5, −10).

the length of the side connecting (5, 6) and (5, -10), which is 6 - (-10) = 16.

by adding this length to the y-coordinate of the vertex (5, 6), which gives us (5, 6+16) = (5, 22).

Similarly, we can find the length of the side connecting (5, 6) and (12, -10), which is 12 - 5 = 7.

We can add this length to the x-coordinate of the vertex (5, 6), which gives us (5+7, 6) = (12, 6).

Therefore, the missing vertex is (12, 22 - 10) = (12, 12).

To find the area of the rectangle, we can use the formula

A = length x width.

Using Distance formula between (5, 6) and (12, 6),

length=√(12-5)²+(6-6)²

length=√7²

Length=7 in

Using Distance formula between (5, -10) and (5, 12),

length=√(5-5)²+(12+10)²

length=√22²

Length=22 in

the area of the rectangle is;

A = 7 x 22 = 154 square inches.

Therefore, the correct answer is A: The missing vertex is (12, 6) with an area of 112 in²

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Answer: Option a will be right i took the test

Step-by-step explanation:

Answer:

7 pales per horse

Step-by-step explanation:

35 ÷ 5 = 7

Answer: 7 pails each.

Step-by-step explanation:

35 pails / 5 horses = 7 pails each

35/5=7

Step-by-step explanation:

n×2=?

The n means 1 then. 1×2 series

1 × 2 = 2

In order to determine the perimeter of the figure, first simplify the radicals, as follow:

2√20 = 2√(5*2^2) = 4√5

4√12 = 4√(3*2^2) = 8√3

2√48 = 2√(3*2^4) = 8√3

√80 = √(5*2^4) = 4√5

Now, add the previous results:

P = 4√5 + 8√3 + 8√3 + 4√5 = 8√5 + 16√3

Hence, the perimeter of the figure is 8√5 + 16√3 inches

The line's parametric equations are x(t) = -3t, y(t) = 1 + 3t, z(t) = 2 - t.

We can find the parametric equations for the line that is parallel to the plane x + y + z = 4 and perpendicular to the line x = 1 + t, y = 1 - t, z = 2t using the following steps:

We first need to find a direction vector for the line perpendicular to both the given plane and line.

Since the plane x + y + z = 4 is parallel to the vector (1,1,1), we can use the cross product of this vector and the vector (1,-1,2) of the given line to find a vector perpendicular to both.

The cross product of (1,1,1) and (1,-1,2) is given by (-3,3,-1).

Now, we can use this vector to find the parametric equations of the line.

The parametric equation of the line is given by: x(t) = 0 + (-3)t, y(t) = 1 + 3t, z(t) = 2 + (-1)t.

We can simplify this equation by substituting t = 0 to get the point of intersection (0,1,2).

Thus, the parametric equations for the line through the point (0,1,2) that is parallel to the plane x + y + z = 4 and perpendicular to the line x = 1 + t, y = 1 - t, z = 2t is given by x(t) = -3t, y(t) = 1 + 3t, z(t) = 2 - t.

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Answer:

I love algebra

The ans is in the picture

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x - 2(-2x - 1) = 10

4x + 4x + 2 = 10

8x + 2 = 10

8x = 8

x= 1

y = -2(1) - 1

y = -2 - 1

y = -3

(1, -3)

Answer

158 with a remainder of 5 ( also expressed as 953/6 OR 158.333333333333)

Step-by-step explanation:

I wasn't sure if you wanted a fraction, so I put two forms of the answer.

Answer:

the ordered measure of the triangle from largest are:- 21, 18, 17

\(f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54\)

Answer: I’m not for sure but I think it is the third one

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4x-3=y

Answer:

1.Let the number be x

5x + 50 = 200 – x

2. Let the number be x

50 – 4x = 15 + x

4. Let the smaller number be x  

and the larger number be 5 – 2x

X + 5 – 2x = 70

X + 5 = 70

X = 70 -5

X = 65

1. Let the smallest consecutive number be x

The largest be x + 2

2x = 12 + x + 2

2x – x = 14

x = 14

The numbers are  

14, 15, 16

2. Let the smallest be x

The middle be x + 1

The largest be x+ 2

X + x+ 1 = 24 + x + 2

2x + 1 = 26 + x

2x – x = 26 -1

X = 25

The numbers are

25 , 26, 27

3. Let the first even number be x

Let the second even number be x + 2

Let the third even number be x+ 4

= x + 2 (x + 2) = 20 + x + 4

= x + 2x + 4 = 20 + x + 4

= 3x + 4 = 24 + x

= 3x – x = 24 -4

= 2x = 20

= x = 20/2

X = 10

The even numbers are

10. 12, 14

Answer:

As the calculated  χ² = 1.23  is less than the critical region  χ²≥ χ²(0.05,9)=  16.92 ,Staples can conclude that demands for these two types of computers are independent  at the 0.05 level of significance.

Step-by-step explanation:

As we have to test the independence of the two categories the chi square of independence test is applied.

Let the null and alternate hypotheses be

H0 :The demand for each type of computers is independent

against the claim

Ha: The  demand for each type of computers is not independent i.e they are associated.

The significance level alpha is chosen to be 0.05

The critical region for alpha =0.05 and (4-1)(4-1) = 3*3 =9 d.f is

χ²≥ χ²(0.05,9)=  16.92

Actual Data

                  low          med-low       med-high          high       Total

low             4                15                    14                     3         36

med-low  6                 18                    18                    23        65

med-high 13                 17                   10                     17         57

high          7                  15                  15                      10          47      

Total       30                65                 57                     53         205        

Expected Frequencies

low- low = 30*36/205= 5.27

low- med.low = 65*36/205 = 11.41

low- medium high = 57*36/205= 10.009

low- high = 53*36/205 =9.31

medium low- low = 30*65/205 = 9.51

medium low- med.low = 65*65/205= 20.61

medium low- medium high = 57*65/205= 18.073

medium low- high = 53*65/205= 16.80

medium high- low = 30*57/205= 8.34

medium high- med.low = 65*57/205= 18.07

medium high- medium high = 57*57/205= 15.85

medium high- high = 53*57/205= 14.74

high- low = 30*53/205= 7.76

high- med.low = 65*53/205= 16.80

high- medium high = 57*53/205= 14.74

high- high = 53*53/205= 13.70

Summarizing in a table

Expected Frequencies

                  low          med-low       med-high          high           Total        

low             5.27         11.41                    10.009           9.31        35.999

med-low  9.51            20.61               18.073             16.8        64.993

med-high 8.34             18.07                 15.85            14.74       57  

high          7.76              16.8                  14.74             13.7         53              

Total       30.88           66.89               58.672          54.55         210.992  

Using Excel

The Chi Square Values are

0.062823

0.270857

0.159572

0.735995791

1.229247532

As the calculated  χ² = 1.23  is less than the critical region  χ²≥ χ²(0.05,9)=  16.92 ,Staples can conclude that demands for these two types of computers are independent  at the 0.05 level of significance,

Answer:

192m

Step-by-step explanation:

Multiply 48 times 4

Answer:

H0 : μ = 0 ; H1 : μ > 0 ;

H0 : μ = 15 ; H1 : μ ≠ 15

H0 : μ = 1100 ; H1 : μ ≠ 1100

Step-by-step explanation:

Null hypothesis H0 : mean grade of student after they use service of tutoring company is the same.

H0 : μ = 0

Alternative hypothesis H1 : mean grade of student after using service of the tutoring company increases

H1 : μ > 0

2.)

Null hypothesis H0 : Average or mean company time spent checking personal is 15 minutes

H0 : μ = 15

Alternative hypothesis H1 : Average or mean company time spent checking personal mail is not equal to 15 minutes

H1 : μ ≠ 15

C.)

Null hypothesis H0 : Average calorie intake of diner at restaurant.

H0 : μ = 1100

Alternative hypothesis H1 : There is a difference in average calorie intake of diner at restaurant.

H1 : μ ≠ 1100

Answer:

B

Step-by-step explanation:

It cannot be C or D because they are too similar to the original function. It is not A because there is not supposed to be a negative in front of the 1/2, so the answer is B.

The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

The first term and the common ratio for this problem is given as follows:

\(a_1 = -32, q = -\frac{1}{4}\)

The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:

\(a_{n + 1} = -\frac{1}{4}a_n\)

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Answer:

Answer is 2

Step-by-step explanation:

To get rid of the fraction:

5*4x-5 =3

5

4x-5=3

4x=3+5

4x=8

x=2

Step-by-step explanation:

It should be 5x4= 20

-5=15

15÷5

=3