Use the Distributive Property to write an equivalent expression for 21x+7

Answer:

60.22in^2.

Step-by-step explanation:

First, find the area of the rectangle. 14.1x7=98.7.

Then, we need to find the area of the circle and subtract it from the area of the rectangle.

The area of the circle is pi*r^2. so, pi*3.5^2 is about 38.48. (The radius is half of the diameter, so the radius would be 3.5).

Since there are two halves of the circle, we can just subtract 38.48 from 98.7 so get the area of the shaded region. So, the area of the yellow area is 60.22in^2.

Find rectangle area: 14.1 x 7 = 98.7

Find areas of semicircles: a = 3.14(3.5)^2 = 76.96

Subtract area of semicircles: 98.7 - 76.96 = 21.74

Answer:

use your formula and plug it in and solve it

Step-by-step explanation:

Answer:

length is longer

Step-by-step explanation:

length is llonger than dimensions

Answer:

length, is how tall it is....... dimensions is like lenght width and depth

Step-by-step explanation:

a line going up would eb the length,

dimentsions....l lengths...._ width ..... depth /

Answer:

(-2,10)

Step-by-step explanation:

Answer:

Step-by-step explanation:

According to Triangle Inequality Property:

Measurement of any two sides of the triangle should be greater than the third side

So,

For 2.5,

6 + 4 = 10 > 2.5

4 + 2.5 = 6.5 > 6

6 + 2.5 = 8.5 > 4

For 4,

6 + 4 = 10 > 4

4 + 6 = 10 > 4

4 + 4 = 8 > 6

While for 1 and 2,

4 + 1 = 5 < 6

and

4 + 2 = 6 = 6

Hence,

Only 2.5 and 4 are the possible measurements.

Answer:

yes

Step-by-step explanation:

Answer:

$10,277.32

Step-by-step explanation:

Given the revenue and cost function

R(x) = -31.72x^2 + 2,030x

C(x) = -126.96x + 26,391

The profit function is expressed as;

P(x) = R(x) - C(x)

P(x) = -31.72x^2 + 2,030x-(-126.96x + 26,391)

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,030x+126.96x - 26,391

P(x) = -31.72x^2 + 2,156.96x - 26,391

To have maximum profit, d

The maximum profit dP/dx = 0

dP/dx = -63.44x+2156.96

-63.44x+2156.96=0

63.44x = 2156.96

X = 2156.96/63.44

x = 34

Get the profit

P(34) = -31.72(34)² + 2,156.96(34)- 26,391

P(34) = -36668.32+73336.64-26391

P(34) = 10,277.32

Hence the maximum profit that can be made is $10,277.32

Answer:

24y + 16

Step-by-step explanation:

If your searching for number 2 itself, the answer will be 24y + 16, because because you have to multily whats out of the brackets by whats in the brackets. 3y+2 is in the brackets so 8 times whats in the braackets gives u the answer.

Answer:

Just put the opposite coordinates on the other side of the segment and thats your answer!

Step-by-step explanation:

Answer:

The alternative hypothesis is; Hₐ;

[tex]\hat p[/tex] > 60%

Step-by-step explanation:

The given hypothesis of the number of Americans that vote in the presidential election is;

Hypothesis; At most 60% of Americans vote in the presidential elections

Therefore, the hypothesis states that the percentage of Americans that vote in the presidential ≤ 60%

The given hypothesis is the null hypothesis due to the presence of one of the operators ≤, ≥, or =

The null hypothesis is therefore, H₀: [tex]\hat p[/tex] ≤ 60%

Therefore, the alternative hypothesis is; Hₐ; [tex]\hat p[/tex] > 60%.

Answer:

70 problems are correct

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

because the formula if a triangle is base times height divided by 2 which is 16x4÷2=32

Answer:

Below.

Step-by-step explanation:

Working together the rate is 80 + 120 = 200 gallons per minute.

(a) Time to fill tank = 6000 / 200 = 30 minutes.

(b) Let length of time the small pipe was used be x minutes , the the large pipe was used for is 60-x minutes.

Volume delivered by small pipe = y gallons, and by large pipe =  6000-y gallons.

Rate for small pipe = 80 = y/x.

Rate for large pipe = 120 = (6000-y) / 60-x.

y/x = 80

(6000-y) / 60-x = 120

From first equation y = 80x so:

6000 - 80 x =  7200  - 120x

40x = 1200

x = 30

So time for small pipe = 30 and time for large on = 30 minutes also.

C. In a similar way to part B:

y/x = 120  

(6000-y) / 34 - x = 200

(6000-120x) / 34 - x = 200

6000 - 120x = 6800 - 200x

80x = 800  so the large pipe on its own took 10 minutes and the small pipe was used for 34 - 10 = 24 minutes.

Answer:

45°

Step-by-step explanation:

made a special triangle 45-45-90,

Answer:

45.6 degrees

Step-by-step explanation:

see image

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

(5 + (-3)) / 2 = 2 / 2 = 1

So this locus is the single vertical line y = 1.

Answer:

y = 1.

Step-by-step explanation:

We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:

(5 + (-3)) / 2 = 2 / 2 = 1

So this locus is the single vertical line y = 1.

Answer:

Step-by-step explanation:

Assuming the parking lot is along both widths of the field and only once along the length:

the length is (300 - 2x)

the width is (200 -x)

the area is (300-2x)(200-x) = 30000

         60000 -300x - 400x +2x^2 = 30000

        2x^2 -700x + 30000 = 0

         x^2 - 350x + 15000 = 0

          (x    -   300    )(x   -    50    ) = 0

             x = 300 or x=50

x=300 results in negative measures.

the parking lot is x=50 wide

the length of the field is 200, the width of the field is 150

Answer:

See below for answers

Step-by-step explanation:

Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?

Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].

Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].

Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.

Answer:

A. octagon would be formed by a cross-section parallel to the base of a octagonal pyramid.

Answer:

C is the answer

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

Answer:

5.625 is the correct answer to convert five whole five over eight from fraction to decimals.

Step-by-step explanation:

=5/8+5

=0.625+5

=5.625#

Answer:

18a(2bc+3d)

Step-by-step explanation:

36abc + 54ad = ?

Rewrite as ;

=2*18abc+3*18ad

Factor out common term 18a

18a(2bc+3d)

I HOPE THIS HELPED!!!

Answer:

Here is a graph of how this would look for you

Answer:

Yes, distance in yards can be obtained by multiplication.

Step-by-step explanation:

Given that the distance between tow points is 90 feets, The distance between these two points in yards can be obtained either by multiplication or division.

I foot = 0.3333 yards

To convert distance between the second and third bases from feet to yard ;

Multiply distance in feets by 0.3333 to obtain the corresponding distance in yards ;

90 * 0.3333 = 29.997 = 30 yards

Answer:

[tex]f{x} = x + 3 = 0 \\ x = - 3 \\ f( - 3) = 3( - 3) {}^{2} + k( - 3) + 19 = 37 \\ f( - 3) = 27 - 3k + 19 = 37 \\ f( - 3) = 46 - 3k = 37 \\ f( - 3) = 46 - 37 = 3k \\ f( - 3) = 9 = 3k \\ f( - 3) = k = 3[/tex]

Answer:

A. $2.25

Step-by-step explanation:

If you subtract $7.50 from $18.75 you get $11.25, then divide that by 5 and you'll get $2.25.

Hope this was useful.

Answer:

The answer would be $2.25

Step-by-step explanation:

If you multiply 2.25 with 5 you get 11.25 so now you just add the 7.50 to it and that's how you get 18.75

Answer: 57 R3

‎‎‎‎‎‎‎‎‎‎‎‎‎ ‎‎ ‎

Answer:

57 R 3

Step-by-step explanation:

6 goes into 34 5 times with 4 extra, pull down the 5, and 6 goes into 45 7 times with 3 extra. So the answer is 57 R 3.

Answer:

y=-3/2x+13

Step-by-step explanation:

Convert to slope-intercept form (y=mx+b):

-3x+2y=10

-3x-10+2y=0

-3x-10=-2y

-3/2x-5=y

y=-3/2x-5

Parallel lines have the same slope, so the slope of the equation will be m₁=m₂ where -3/2=-3/2

Solving for b, the y-intercept, we get:

y=-3/2x+b (Equation so far)

7=-3/2(4)+b [Plugging in (4,7)]

7=-12/2+b

7=-6+b

13=b

Therefore, the equation of the line that is parallel to the line -3x+2y=10 and goes through the point (4,7) is y=-3/2x+13

Answer: 4/16 or 1/4 (simplified)

Answer:

1/4

Step-by-step explanation:

put # of green over total # of marbles in bag

4/16 and simplify by dividing both by 4

1/4