Isolate the variable to find the solution of the equation.
6.2w = 18.6

The element of A n B is { 7, 8}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.

For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.

The sign 'n' means intersection and this means what is common to two or more set.

If set A = { 1,2,5,7,8}

set B = { 6,7,8,9}

then we can see that 7 and 8 are common to both sides, then

A n B = { 7,8}

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Answer:

12+6x=$15.15 should be your answer :)

Answer:

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

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

The exact values of the sine and the cosine of the half angle are √(3 / 10) and √(7 / 10), respectively.

Herein we know the exact value of the cosine of an angle set in the first quadrant. Then, the half angle is also in the first quadrant, whose sine and cosine are, respectively:

cos 0.5Ф > 0, sin 0.5Ф > 0

sin 0.5Ф = √[(1 - cos 0.5Ф) / 2]

cos 0.5Ф = √[(1 + cos 0.5Ф) / 2]

First, replace the values of the cosine of the half angle:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

cos 0.5Ф = √[(1 + 2 / 5) / 2]

Second, simplify the resulting expression:

sin 0.5Ф = √[(1 - 2 / 5) / 2]

sin 0.5Ф = √[(3 / 5) / 2]

sin 0.5Ф = √(3 / 10)

cos 0.5Ф = √[(1 + 2 / 5) / 2]

cos 0.5Ф = √[(7 / 5) / 2]

cos 0.5Ф = √(7 / 10)

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Answer:

true

Step-by-step explanation:

hope it will help

#hope

Answer:

x^2-10

Step-by-step explanation:

the area of whole square is x^2, not shaded area is 5*2=10, so shaded area equals to x^2-10

Answer:

b) y=3

Step-by-step explanation:

The angle formed by the two hands have a measure less than 1/4 turn

From the question, we have the following parameters that can be used in our computation:

A clock with the hour hand at 12 and the minute hand at 2

The turn represented by the above is represened as

Turn = (2 * 30)/360

When simplified, we have

Turn = 1/6

Next, we have

Angle at the turn = 1/4

1/6 is less than 1/4

This means that the angle formed by the two hands have a measure less than 1/4 turn

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Answer:

If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.

In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75

Here is the math I did to get 0.75:

= 30.5 - 29.75

= 30.5 + -29.75

= 0.75 (Answer)

Hopefully this helped :D

Step-by-step explanation:

The average rate of change of g(x) = 2^x - 1 between x = 3 and x = 7 is: 30.

To find the average rate of change of a function, use the formula below:

Average rate of change = g(b) - g(a) / b - a.

Given the following:

Therefore:

a = 3

g(a) = \(2^3 - 1\) = 8 - 1

g(a) = 7

b = 7

g(b) = \(2^7 - 1\) = 128 - 1

g(b) = 127

Substitute the values into the formula:

Average rate of change = (127 - 7) / 7 - 3

= 120/4

Average rate of change = 30

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Answer: the answer is 30, i took the test.

Answer:

no

Step-by-step explanation:

Answer:y=6-X

Step-by-step explanation:

To leave y on it’s on on the right hand side we need to subtract X
X+y-X= y

What you do on the left hand side, you do the same on the right hand side

6-X

final equation would be:

X+y-X=6-X

Simplifying we get :

y=6-X (FINAL ANSWER)

Answer:

7:01

29%

Doyan of low

Shiman 1-R-1

Flous 1-1 Gambe 1-4-20

12 dual purpose

Martins 1-2-3 Flores 1-2, 1-3, 14

Gamba 2-1-5

Custand 1-4, 2-1

Conditions " humanitarian groups Salahiel 1-1-1, 1-1-2, 1-2-3 1-R-5, 2-L-2, 2-L-3, 2-14, 2-1-5, 2-RI

Flores 1-30

Munting 1-2-4

Gumbon 1-1-3 CDP 1-1-3

Status oppose ending 742 Montoya 1-1, 1-2, 1-3

federal courts challenge

Gamboa 1-R-2 Custom 1-7

CDP 1-L-36, 1-2-4

de Vogue 1-2-1, 2-1-5, 2-L-6

7 expulsions at boders

root causes textul Amer.

Cop 1-L-34, 1-1-2, 1-R-4

Border Report 1-2

CDP 1-R-2, 1-R-3 Montoya 1-8

Custarda 2-2

=

CLOSE

Hopes this helps :)

Answer:

p=-5

Step-by-step explanation:

3p-49+9 -49+9=-40

3p-40=8p 3p-3p=0 8p-3p=5p

-40=5p p=5

The value of the varaible 'x' will be 4. And the value of the varaible 'y' will be 7.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

a) The equation is given as,

4 / 8 = 3 / (y - 1)

1/2 = 3 / (y - 1)

y - 1 = 6

y = 7

b) The equation is given as,

5 / (7 + 2x) = 2 / (x + 2)

5(x + 2) = 2(7 + 2x)

5x + 10 = 14 + 4x

5x - 4x = 14 - 10

x = 4

The value of the varaible 'x' will be 4. And the value of the varaible 'y' will be 7.

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The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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Answer:

9 mi

Step-by-step explanation:

V = 1385.44 mi³, radius r = 14/2 = 7 mi, find h

Use V = πr²h

1385.44 = 3.14 * 7² * h = 153.86 h

so

h = 1385.44/153.86 = 9 mi

The loan after 4 year with 10% rate is $14,641.

Loans for graduate and undergraduate students that are not based on financial need are known as unsubsidized Loans. Your cost of attendance minus additional financial aid determines your eligibility (such as grants or scholarships). During in-school, deferment, and grace periods, interest is incurred.

Given:

Amount = $10,000.

To solve a problem like this, you need one more piece of information: the interest rate on the loan.

As an example, let's say it's 10%.

Since the interest is capitalized, that means the yearly interest amount gets added to the $10,000 original principal amount.

After year one,

Interest = $1,000 ($10,000 x 10%),

             = $11,000.

After two year,

Interest = $12,100

and, After 4 year,

Interest = $14,641.

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the information given:

Neighbourhood A = 30  homes and the number increases by 20% each year

Neighbourhood B = 45  homes, and each year 3 new homes are built.

A.

The function representing the numbers of homes in  Neighbourhood A and B are as follows:

For neighbourhood A: f(x) = \(\mathbf{30 \times (1.2)^x}\)

For neighbourhood B: f(x) =  45 + 3x

B.

After five years;

Neighbourhood A has = \(\mathbf{30 \times (1.2)^x}\)

Neighbourhood A  = \(\mathbf{30 \times (1.2)^5}\)

Neighbourhood A  =  74.65 homes

Neighbourhood B: =   45 + 3(5)

Neighbourhood B: =   45 + 15

Neighbourhood B: =   60 homes

C.

To determine how many years the number of homes are the same for neighbourhood A and B, we need to equate both together.

i.e.

\(\mathbf{30 \times (1.2)^x= 45 + 3x}\)

\(\mathbf{ (1.2)^x= \dfrac{45 + 3x}{30}}\)

\(\mathbf{ (0.4)^x= \dfrac{15 + x}{10}}\)

x = 3.3

Thus, after 3.3 years, the number of homes will be the same.

Answer: $1

Step-by-step explanation:

Answer:

6z

Step-by-step explanation:

f(x) = x - 5 ln(x)

Get the derivative:

f'(x) = 1 - 5/x

Find the critical points:

• f'(x) = 1 - 5/x = 0   ->   5/x = 1   ->   x = 5

• f'(x) is undefined for x = 0, but that's outside the domain of f(x)

Get the second derivative:

f''(x) = 5/x ^2

Check the sign of the second derivative at the critical point x = 5:

f'' (5) = 5/5^2 = 5/25 = 1/5 > 0

Since the second derivative is positive at this point, this means x = 5 is a local minimum.

Check the value of f(x) at the critical point as well as the endpoints of the given domain:

f (5) = 5 - 5 ln(5) ≈ -3.407

f (1/5) = 1/5 - 5 ln(1/5) ≈ 1.809

f (10) = 10 - 5 ln(10) ≈ -1.513

So we have

• absolute maximum = 1/5 - 5 ln(1/5) at x = 1/5

• absolute minimum = 5 - 5 ln(5) at x = 5

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

Given the function f(x)=x−5ln(x),

We are to find the absolute minimum and maximum value of the function

At the turning point f'(x) = x - 5ln(x)

f'(x) = 1 - 5/x

0 = 1 - 5/x

-5/x = -1

-x = -5

x = 5

Find the second derivative of the function;

f''(x) = -5/x²

Substitute the value of x = 5 into the second derivative function to have:

f''(5) = -5/5² = 1/5

Since f''(5) = 1/5 < 0, this is the local maximum and the point x = 5 is the absolute minimum

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

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Answer:

49 %=566

Step-by-step explanation:

espero que te ayuder

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer: f < 9

Step-by-step explanation:

first, cross multiply 2 and 2:

f - 5 < 4

f < 9

Answer:

f < 9

Step-by-step explanation:

=> (f-5)/2 < 2

multiplying both sides by 2

=> 2(f-5)/2 < 2×2

=> f-5 < 4

adding 5 to both sides

=> f-5+5 < 4+5

=> f < 9

Answer:

1 200 000 $

Step-by-step explanation:

(100 divide per 30 ) x 360 000 $

Answer:

One cubed shape block volume = 0.125 cubic feet

Step-by-step explanation:

Since the edge length of each block is 1/5 the edge length of the storage container, we do this:

1/5 x 2.5 = 0.5

Now we know that the edge length of each block is 0.5 feet. To find the volume of it, we do this:

0.5^3 = 0.125

The volume of one cubed shape block is 0.125 cubic feet.