What is the value of y in the product of powers below? 8 cubed times 8 Superscript negative 5 Baseline times 8 Superscript negative 2 Baseline = StartFraction 1 Over 8 squared EndFraction

Final answer:

The center of the circle is (3, -4) and the radius is approximately 5.66 units.

Explanation:

To find the center and radius of the given circle, we need to rewrite the equation in the standard form of the equation of a circle. The standard form is: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

So, let's complete the square for both x and y terms in the given equation:

(x^2 - 6x) + (y^2 + 8y) = 7

(x^2 - 6x + 9) + (y^2 + 8y + 16) = 7 + 9 + 16

(x - 3)^2 + (y + 4)^2 = 32

Now we can see that the center of the circle is (3, -4) and the radius is √32 or approximately 5.66 units.

Answer:i think it is 0

Step-by-step explanation:

You can use the fact that if (x-root) is a factor of a single variable polynomial function p(x) = 0

A binomial factor of p(x) is (x-2)

Let its root be x = k

Then we have one of the factor of polynomial as (x-k)

Root of a polynomial function p(x) is a value of x such that putting that value in place of x makes the output 0.

Thus, if x = k is a root of the polynomial p(x), then

p(k) = 0

Since it is given that

p(2) + 4=4

thus,

p(2) = 4-4 = 0

Thus, x = 2 is a root of the polynomial function, and thus, using the aforesaid conclusions, we have (x-2) as one of the factors of the considered polynomial function.

Thus,

A binomial factor of p(x) is (x-2)

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Answer:

the Answer here is A

Step-by-step explanation:

Answer:$200

Step-by-step explanation:

Answer:

Answer:

503,049

Step-by-step explanation:

250,000 × 1.06^12 is the formula.

You take the percentage which is 6% and you add 1 to it.

So, you get 1.06

Then you take the 1.06 and raise it to the number of years which is 12.

1.06^12

Then you multiply that number to the base number which is 250,000 and get 503,049.

Hope this helps!

Final answer:

To find the population after 12 years given a 6% annual growth, we apply the exponential growth formula. With an initial population of 250,000, the formula gives approximately 503,054 as the population after 12 years.

Explanation:

To calculate the population of a city after 12 years when it grows by an annual rate of 6%, we utilize the formula for exponential growth, P(t) = P0 * [tex](1 + r)^t[/tex], where P(t) is the population at time t, P0 is the initial population, r is the growth rate, and t is the number of years.

Given:

The population after 12 years can be calculated as follows:

P(12) = 250,000 * [tex](1 + 0.06)^{12}[/tex]

P(12) = 250,000 * [tex](1.06)^{12}[/tex]

P(12) ≈ 250,000 * 2.0122

P(12) ≈ 503,054

Therefore, the estimated population after 12 years is approximately 503,054.

This is the graph:

-5x=14

x=-2.8

Answer:

x=1

Step-by-step explanation:

hello :

3x+3 =6

means : 3x+3-6 =6-6

           3x -3 =0

add 3 : 3x = 3 divid by 3 : x=3/3=1

The required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given function,
f(x)=3x+3,

Since we have given f(x) = 6, we have to determine the value of x for which the function gives 6,
Now,
f(x)=3x+3

Substitute f(x) = 6
6 =3x + 3
3x = 6 - 3
3x = 3
x = 1

Thus, the required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.

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Answer:  y intercept

Step-by-step explanation:

Answer:

$13,952.30

Step-by-step explanation:

refer to attached graphic

the formula for compound interest is given as

A = P [ 1 + (r/n) ] ^ (nt)

where

A = final amount (we are asked to find)

P = principal amount = $13,500

r = rate = 3.3% = 0.033

n = 12 (compounded monthly)

t = 1 year

substituting these values into the equation

A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]

A = 13500 [ 1 + 0.00275 ] ^ 12

A = 13500 [1.00275 ] ^ 12

A = 13500 (1.0335)

A = $13,952.30

The balance on a $13,500 deposit earning 3.3% and compound monthly after 1 year is equal to $13,952.30.

In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where:

By substituting the given parameters into the formula for compound interest, we have the following;

[tex]A(1) = 13500(1 + \frac{0.033}{12})^{12 \times 1}\\\\A(1) = 13500(1.00275)^{12}[/tex]

Future value, A(1) = $13,952.30.

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Complete Question;

Find the balance in each account after the given period. $13,500 deposit earning 3.3% compound monthly after 1 year.

Answer:

1080hrs

Step-by-step explanation:

[tex] \frac{6hr}{1day} \times5 \frac{days}{week} [/tex]

days cancel, redefine week as =5days

[tex] \frac{30hr}{1week} \times 4 \frac{weeks}{month} [/tex]

weeks cancel redefine 4 weeks = 1 month

[tex] \frac{120hr}{1month} \times 9 \frac{month}{1year} [/tex]

months cancel, redefine 9months= 1years

[tex] \frac{120 \times 9}{1year} [/tex]

1080hrs per year (if I mathed 120x9 correctly that is, I didn't use a calculator so please double check that 120x9=1080)

Answer: 1080 hours

Step-by-step explanation:

Answer:

2(8y+9m)

Step-by-step explanation:

Answer:

the awnser is A I just got it right

Answer:

12

Step-by-step explanation:

divided 16 by 4 which is 4. then multiply 2 by 6, which is 12. then multiply 4 by 12. Remember to always do ( ) first. 4 by 12 is 48. Then do 48 divided by 6 which is 8. then add 8+4 which is 12.

Answer:4

Step-by-step explanation:What +7=11 bause the () make a multiplication and 11x3=33

Answer:

n=4

Step-by-step explanation:

3(n+7)=33

Lets mulitply..

3n+21=33

Then we need 3n alone...

To do this subract 21 from 33 and you get 12.

3n=12

Divide 3n by 3 and 12 by 3.

n=4

The factors common to 12x and 18xy are 1, 2, 3, 6, and x.

The factors common to 12x and 24y are 1, 2, 3, 4, 6, and 12.

The GCF of the expression is 6.

Answer: Options B, C and E.

Explanation:

Factors are numbers we can increase together to get another number. At the point when we discover the components of at least two numbers, and afterward discover a few variables are the equivalent ("normal"), at that point they are the "basic elements".

These are the factors which are common in the whole expression or are common in any two equations at the time of comparison. The common factor which is the biggest is known as the greatest common factor.

Answer:

B,C,E

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

3/4 is the same as .75;

.75•20=15

20-15=5

Answer:

The numbers are 11 and 65

Step-by-step explanation:

11 + 65 = 76

65 - 11 = 54

Step-by-step explanation:

Let O represents older brother

M represents middle brother

& Y represents younger brother.

Therefore, according to the given condition:

[tex] \frac{3}{4} y = \frac{2}{3} m = \frac{1}{2} o \\ \\ \therefore \: \frac{3}{4} y = \frac{2}{3} m \\ \implies \: m = \frac{3}{2} \times \frac{3}{4} y = \frac{9}{8} y \\ \\ next \: \: \frac{3}{4} y = \frac{1}{2} o \\ \implies \: o = \frac{2}{1} \times \frac{3}{4} y = \frac{3}{2} y \\ \\ \because \: o + m + y = 58 \\ \\ \therefore \: \frac{3}{2} y + \frac{9}{8} y + y = 58 \\ \\ \therefore \: \frac{12}{8} y + \frac{9}{8} y + \frac{8}{8} y = 58 \\ \\ \therefore \: \frac{29}{8} y = 58 \\ \\ \therefore \: y = 58 \times \frac{8}{29} \\ \\ \therefore \: y = 2 \times 8 \\ \\ \therefore \: y = 16 \: years[/tex]

Thus youngest brother is 16 years old.

Step-by-step explanation:

Given the coordinate of C is (-3,1) and D is (5,6)

The length of a line  segment [tex]\bar {AB}[/tex]with endpoint A at [tex](x_1,y_1)[/tex] and endpoint B at [tex](x_2,y_2)[/tex] is  =  [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Here [tex]x_1=-3 ,y_1=1[/tex]  and   [tex]x_2=5,y_2=6[/tex]

Therefore the length of a line segment [tex]\bar {CD}[/tex] is [tex]\sqrt{(5+3)^2+(6-1)^2}[/tex]

                                                                           =[tex]\sqrt{89}[/tex] units

                                                                           =9.43 units

Answer:

8

Step-by-step explanation:

2/5*20= 8

You can use the attachment above ^^

Answer: It would Be 8

Step-by-step explanation:

You would just multiplie

2/5 x 20

So 2x20/5= 40/5

Then simplify to 8

The slope is the price of a ticket = 95

The y intercept is the service fee = 11

The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)

Equation: f(x) = 95x + 11

Answer:

The slope is the price of a ticket = 95

The y intercept is the service fee = 11

The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)

Equation: f(x) = 95x + 11

To find the difference, first calculate how much 3 pounds of each meat costs.

$3.20 × 3 = $9.60 for 3 pounds of chicken

$4.59 × 3 = $13.77 for 3 pounds of beef

Now, take the difference.

$13.77 - $9.60 = $4.17

3 pounds of beef costs $4.17 more than 3 pounds of chicken.

Answer:

3 pounds of beef costs $4.17 more than 3 pounds of chicken

Step-by-step explanation:

The given figure is missing so I attached it below

m∠ A B C = 72°

m∠ F B C = 108°

m∠ A B D = 90°

m∠ D B E = 18°

Step-by-step explanation:

∵ Lines A F and C E are intersected at point B

∴ ∠ A B C and ∠ F B E are vertical opposite angles

- That mean they are equal in measures

∴ m∠ A B C = m∠ F B E

∵ m∠ F B E = 72°

∴ m∠ A B C = 72°

∵ Ray F B and line E C are intersected at B

∴ ∠ C B F and ∠ F B E formed a pair of linear angles

- Their measures is 180°

∴ m∠ C B F + m∠ F B E = 180°

∵ m∠ F B E = 72°

∴ m∠ C B F + 72 = 180

- Subtract 72 from both sides

∴ m∠ C B F = 108°

∵ Ray B D ⊥ to line A F

- That mean ∠ A B D and ∠ F B D are formed a pair of linear

  angles equal in measures, then their measures is 180 ÷ 2 = 90

∴ m∠ A B D = m∠ F B D = 90°

∴ m∠ A B D = 90°

∵ Ray B E divides ∠ D B F into two angles D B E and F B E

∵ m∠ F B D = 90°

∴ m∠ D B E + m∠ F B E = 90°

∵ m∠ F B E = 72°

∴ m∠ D B E + 72 = 90°

- Subtract 72 from both sides

∴ m∠ D B E = 18°

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Answer:

1) one solution

2) Infinitely many solution

3) no solution

Step-by-step explanation:

The first equation is -14-8x=-2(-3x+7)

Let us expand the right hand side to get:

-14-8x=-2*-3x+-2*7

We multiply -14-8x=6x-14

We group similar terms to get:

-8x-6x=-14+14

Combine similar terms to get:

-14x=0

Divide through by -14 to get:

x=0

2) The second equation is 3+5x=5(x+2)-7

We expand to obtain:

3+5x=5x+5*2-7

Multiply to get:

3+5x=5x+10-7

This gives us

3+5x=5x+3

5x=5x

1=1

There is infinitely many solutions

3) The third equation is: 36-7x=-7(x-5)

We expand to get:

36-7x=-7x+35

Group similar terms;

-7x+7x=35-36

0=-1

This statement is not true so there is no solution.

Option A:

Lateral surface area = 1319 cm²

Solution:

Given image is the cone.

Radius of the cone = 15 cm

Slant height = 28 cm

Value of π = 3.14

To find the lateral surface area of the cone:

Lateral surface area = [tex]\pi r l[/tex]

                                 [tex]=3.14\times 15\times28[/tex]

                                 =  1318.8 cm²

Change this to nearest whole unit.

Lateral surface area = 1319 cm²

Hence the lateral surface area of the cone is 1319 cm².

Option A is the correct answer.

Answer: No, it D

Step-by-step explanation: i choose c but it was wrong, it d

Answer:

2

Step-by-step explanation:

4 divided by 2 equals 2

Answer:

3

Step-by-step explanation: