Simplify 5^2 · 5^9 1. 5^11 2. 5^18 3. 25^11 4. 25^18

Answer:

easy the answer is b

Step-by-step explanation:

the reason that is, is becuase I said so and I have a graphing calculator chow....

Step-by-step explanation:

check the image for detailed solution

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

Learn more about Compound Interest here https://brainly.com/question/24274034

#SPJ9

a. 2√21 units

Hi there !

Area formula

A = π·r²

84π = πr²

r² = 84π/π

r² = 84

r² = 2²×3×7

r = √2²×3×7

r = 2√3×7

r = 2√21

Good luck !

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ1

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

The speed of the shadow at any time while the rock is in the air is given by v(1-s) / (H-h).

By the AAA congruency theorem, the two triangles are formed and are similar. Here, the ratio of their sides must be equal, and thus -

= H/d+s = h/s

= Hs = h(d+s)

= Hs = hd + hs

= Hs - hs = hd

= s(H-h) = hd

Differentiating both sides with respect to t -

= {s' (H- h)} + {sh'} = h'

Since we know that h' = v -

= {s' (H- h)} + {sv} = v

= s'(H-h) = v - sv

= s'(H-h) = v(1-s)

= s' = v(1-s) / (H-h)

Learn more about Congruency theorems on

https://brainly.com/question/30105366?referrer=searchResults

#SPJ4

The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33.

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

f(x) = x² -3x + 5 and g(x) = -2x

f(g(x)) = f(-2x)

Since the operation of f(x) is x²-3 x+5.

So,  f(-2x) = (-2x)² - 3(-2x) + 5

f(g(x)) = 4x² + 6x + 5

The value of the combined function for x = 2 is

f(g(2)) = 4(2)² + 6(2) + 5

⇒ 16 + 12 + 5 = 33

Hence "The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33".

For more about the function,

brainly.com/question/23712366

#SPJ2

Answer:

The answer is A.

Step-by-step explanation:

The congruent reason for the triangles is (b) HL theorem

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

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

Read more about congruent triangles at

brainly.com/question/1675117

#SPJ1

The missing side length that would result in an equal area of both figures is the square root of the length of the corresponding side in the other figure.  

What is side length?

To determine the missing side length that would result in an equal area of both figures, we need to set up an equation for the area of each figure and then solve for the missing side length.

Let's assume that we have two similar figures, one with side lengths x and y, and another with side lengths a and b. We know that the ratio of corresponding side lengths is equal for similar figures, so we can write:

a/x = b/y

This can be rearranged to solve for one of the missing side lengths. For example, if we want to solve for a, we can multiply both sides by x:

a = (b/y) * x

Now we can use the area formula for each figure:

Area of first figure = xy

Area of second figure = ab

We want these areas to be equal, so we can set up an equation:

xy = ab

Substituting our expression for a, we get:

xy = ((b/y) * x) * b

Simplifying, we get:

xy = bx/y

Multiplying both sides by y, we get:

xy² = bx

Finally, we can solve for the missing side length y:

y² = (bx)/x

y² = b

y = √b

So the missing side length that would result in an equal area of both figures is the square root of the length of the corresponding side in the other figure.  

To know more about the side length, visit:

https://brainly.com/question/29086634

#SPJ1

Complete question is: The missing side length that would result in an equal area of both figures is the square root of the length of the corresponding side in the other figure.

We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.

To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:

n = [(z*sigma)/E]^2

Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)

We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:

n = [(1.96*12)/4]^2
n = 169.64

Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.

To Learn More About Percent

https://brainly.com/question/24877689

SPJ11

Answer:

See below.

Step-by-step explanation:

If the number of seeds and the number of bags a proportional, then the first step is to simplify. 3:174 = 1:58.

Now, we know the ratio is 1:58. For the second box, do 1*58= 58. For the third, do 8*58=464. For the fourth, do 12*58=696.

Answer:

f(2) = -3

Step-by-step explanation:

Let x= 2

What value is y when x=2

Y = -3 when x =2

f(2) = -3

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

For more such questions on population

https://brainly.com/question/29885712

#SPJ8

Answer:

It's choice D.

Answer:

103

Step-by-step explanation:

x = 180 - 77 = 103

Answer:

103

Step-by-step explanation:

X + 77 = 180

Solve for x

x = 180-77

x = 103

The values of x is 6 and y is (-6).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

-4x-5y=6............(1)

9x+7y=12..................(2)

Solving Equation (1) and (2) we get

-36 x  - 45y = 54

36x + 28y = 48

____________

         -17y= 102

              y= -6.

and, -4x -5y= 6

-4x - 5(-6) = 6

-4x + 30 = 6

-4x = 6-30

-4x = -24

x= 6

Learn more about Equation here:

https://brainly.com/question/1097748

#SPJ1

Answer:

x = k + 7

x = k + 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we are solving for x here are the answers;

x=k+7

x=k+3

If we are solving for k here are the answers;

k=x-7

k=x+3

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

Read more about volume at

https://brainly.com/question/463363

#SPJ1

Answer:

y

=

x

2

+

5.05

x

+

6.3

Step-by-step explanation:

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

Learn more about Venn Diagram at https://brainly.com/question/28060706.

#SPJ1

Answer:

Var(x)=1

Step-by-step explanation:

x p(x)         x² x*p(x) x²*p(x)

0 1/4     0 0         0

1 1/8     1 1/8             1/8

2 1/2     4 1           2

3 1/8     9 3/8            9/8

Total                      3/2              13/4

The required variance can be computed as

Var(x)=sumx²*p(x)-(sum(x*p(x)))²

Var(x)=13/4-(3/2)²

Var(x)=13/4-9/4

Var(x)=4/4

Var(x)=1

Thus, the required variance is 1.

Answer:

128.8

Step-by-step explanation:

\(\frac{20}{100}\) = \(\frac{A}{644}\)

100A = 12,880

A = 128.8

The solution to the system of equations is x = 4 and y = 8. The lines represented by the equations y = 2x and 6x - 2y = 8 Intersect at the point (4, 8).

To analyze the given equations:

Equation 1: y = 2x

Equation 2: 6x - 2y = 8

We can begin by examining Equation 1, which is in slope-intercept form (y = mx + b). In this equation, the coefficient of x is 2, representing the slope of the line. Therefore, the line described by Equation 1 has a slope of 2.

Now, let's move on to Equation 2. It can be rewritten by rearranging the terms:

6x - 2y = 8

-2y = -6x + 8

Dividing by -2 on both sides:

y = 3x - 4

By comparing Equation 2 with the slope-intercept form (y = mx + b), we can see that its slope is 3.

Comparing the slopes of the two equations, we observe that they are not equal. Since the slopes are different, the lines represented by the equations y = 2x and y = 3x - 4 are not parallel.

To determine if they intersect, we can equate the right-hand sides of the two equations:

2x = 3x - 4

By rearranging terms, we get:

x = 4

Substituting x = 4 back into Equation 1:

y = 2(4)

y = 8

Therefore, the solution to the system of equations is x = 4 and y = 8. The lines represented by the equations y = 2x and 6x - 2y = 8 intersect at the point (4, 8).

To know more about Intersect .

https://brainly.com/question/30429663

#SPJ11

Just put -2 in,where X is and get your answer that way