This is the graph of f(x). What is the value of f(2)?
A. 6
B. 5
C. 2
D. 9

3.7% greater was Babe Ruth's batting average than Hank Aaron's.

Given that, Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

According to the question, 0.342-0.305

= 0.037

Now, 0.037 × 100

= 3.7%

Hence, 3.7% greater was Babe Ruth's batting average than Hank Aaron's.

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"Your question is incomplete, probably the complete question/missing part is:"

Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342. Hank Aaron, another record home run hitter, had a batting average of 0.305. How much greater was Babe Ruth's batting average than Hank Aaron's?

Answer:

Step-by-step explanation:

(3 - 8)/(1 + 4)= -5/5= -1

y - 8 = -(x + 4)

y - 8 = -x - 4

y = -x + 4

Answer:

(0, 14)

Step-by-step explanation:

The point (0, -2) is 8 spaces away from the reflection line of y = 6, so just count 8 spaces up from the reflection line.

:)

a)

i) The mean number of refunds given in the summer is 21.

ii) The mean number of refunds given in the winter is 20.

b) The answer to part a) does NOT support the hypothesis.

To calculate   the mean number of refunds given in the summer and winter,we need to find the average of the  values for each season over the given years. Let's calculate  -

a) Mean number of refunds given in the summer  -

(20 + 15 + 10 + 15 + 32 + 34) / 6

= 126 / 6

 = 21

b) Mean number of refunds given in the winter   -

(24 + 10 + 15 + 18 + 26 + 27) / 6

= 120 / 6

= 20

The mean   number of refunds given in thesummer is 21, and the mean number of refunds given in the winter is 20.

b) Based on the calculated means, the answer to part a) does NOT support the hypothesis.

The mean number   of refunds given in the summer (21) is greater than the mean number of refunds given in thewinter (20), indicating that more refunds are   given in the summer than in the winter, contrary to the hypothesis.

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Ms. Lantz would need to finish in 50.28 minutes to be eligible for the Houston Marathon.

The relationship between a score and the mean over a set of scores is simply quantified by a Z-Score, which is a measurable statistic.

A Z-score can explain to a trader why a value is unusual or average for a given set of data.

A Z-score below 1.8 suggests that a company is on the verge of bankruptcy, while a score closer to 3 shows that the company is doing well financially.

Solution:

The z-score is calculated using the formula: 

z = (x - μ)/σ

μ = Sample's average

σ = Sample's standard deviation

The values are as follows:

μ equals 57 minutes.

σ = 8 minutes

Probability equals 20%, or 0.20.

Determine the z-score for 0.20 using the negative z-table.

Z score is -0.84.

To find x, enter the values into the z formula.

z = (x - μ)/σ

-0.84 = (x - 57)/8

Simplifying;

x = -6.72 + 57

x = 50.28 minutes

Thus, Ms. Lantz would need to complete the Rocket Run 5k in 50.28 minutes in order to be eligible for the Houston Marathon.

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The difference of the algebraic expressions is 3x² - 11x + 4

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The difference of two algebraic expressions means the subtraction of the expressions. That is:

(-4x+3) - (7x - 3x² - 1) = -4x+3 -7x+3x²+1

                                 =  3x² - 11x + 4

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Answer:

5/4

Step-by-step explanation:

Answer:

slope = 1.25

Step-by-step explanation:

use the formula

m=rise/run or m=\(y_{2} - y_{1} / x_{2} - x_{1}\)

-7-(-2)/(-3)-1

= 5/4 (or 1.25)

hope this helps :)

Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

Expressions which represent the distance between the sandbag and the target is:

250-75 meters

i.e. 175 meters

Jonas's dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon.

At this moment, the sandbag is 75 meters below the balloon.

Then, distance between the sandbag and the target is:

250-75 meters

i.e. 175 meters

Hence, expressions which represent the distance between the sandbag and the target is:

250-75 meters

i.e. 175 meters

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Answer:

Step-by-step explanation:

h(x) = 36 - 4.9x^3

Let x be 1.3

The question is not entirely clear. Looks like the iphone moved. Not only that, but the question is not really clear either. I'm taking it to mean that h is the distance from the GROUND to the ROCK after 1.3 seconds.

h(x) = 36 - 4.9(1.3)^2

h(1.3) = 36 - 4.9 * 1.3 * 1.3

h(1.3) = 36 - 27.719

h(1.3) = 8.28 m

Answer:

A. 3x+12

Step-by-step explanation:

8x+3-5x+9

8x-5x=3x

3+9=12

then put them together

3x+12

answer= A

Answer:

(3,-2)

Step-by-step explanation:

We can do this by plugging in all of your points to your formula and seeing if both sides match. After some math, I have discovered that (3,-2) is the correct solution.

May I please have brainliest? I put a lot of time and effort into these answer, so I would really appreciate it!

Robert's dimes are anywhere between 17 and 19.

Nickels

are worth 5 cents, and

dimes

are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.

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Answer:

:D.

Step-by-step explanation:

7/22*6/21=42/462=.09=9% chance of a yellow then a yellow selection.

2/22*17/21=34/462=.0736=7.36% chance of green & then not a blue.

Answer:

(x - 7) (x + 3)

Step-by-step explanation:

Answer:

2/16 or 0.625

Step-by-step explanation:

Find a common denominator for the two fractions. It will be 16. 3/4=12/16

7/8=14/16 or you can do it in decimal form. 3/4=.25 and 7/8= .875

.875-.25=.0.625

\(\large\boxed{\frac{1}{8}\ \text{miles}}\)

We need to subtract Ethan's distance from Megan's. First, we need to have a common denominator in the fractions.

Multiply both the numerator and the denominator in \(\frac{3}{4}\) by \(2\) to get \(\frac{6}{8}\), which is equivalent. Now, both numbers have a denominator of \(8\) and can be subtracted.

Now, simply subtract the numerators, leaving the denominator alone.

\(\frac{7}{8}-\frac{6}{8}=\frac{7-6}{8}=\boxed{\frac{1}{8}}\)

The population of the town is 2564 people after 4 years.

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

Given:

The initial population of the town is 1652 people.

And the town's population is tripling every 10 years.

Let y₀ be the initial population, r be the growth rate and t be the time.

So,

y = y₀(e\()^{rt}\)

Substituting the values to the function,

y = 1652(e\()^{rt}\)

In 10 years,

3y₀= y₀(e\()^{rt}\)

r = log(3)/10

Now, the population of town after 4 years is,

y = 1652(e\()^{{ln(3)/10} \cdot {t}}\)

y = 2563.64

y ≈ 2564 people.

Therefore, the population is y ≈ 2564, people.

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The equation of the line passing through point (-4,-9) and has a slope -5/4 is 5x + 4y = 40

given data

A line passes through the point (-4,-9)

slope  = -5/4

Ax + By= C

slope = ( y - y1 ) / ( x - x1 )

-5/4 = ( y - 9 ) / ( x - -4 )

-5/4 ( x + 4 ) = ( y - 9 )

-5( x + 4 ) =  4( y - 9 )

-5x + 4 = 4y -36

4 + 36 = 4y + 5x

40 = 4y + 5x

rearranging to suit Ax + By = C

5x + 4y = 40

5x + 4y = 40  is the required equation of the line

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The compound amount after 3 years is $2275.22.

In this case, you are given:

Principle = $2,000

rate = 0.0353

time = 3

You need to find A, the compound amount after 3 years.

To do this, you need to plug in the values of P, r and t into the formula and use a calculator:

A=P×e^rt

A=2000×(e)^0.0353×3

A≈2275.22

Therefore, by the compound interest the answer will be $2275.22.

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The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

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See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

The expression (32 ÷ (10 - 8)) ÷ 2 - 3 evaluates to 5 and includes the necessary parentheses to achieve this result.

What is an algebraic expression?

An algebraic expression is a mathematical phrase that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

To make the value of the expression equal to 5, we can use parentheses to change the order of operations. One possible way to do this is:

32 ÷ (10 - (8 ÷ 2) - 3)

First, we evaluate the expression inside the parentheses:

8 ÷ 2 = 4

10 - 4 - 3 = 3

So now the expression becomes:

32 ÷ 3

=10.67

This is not equal to 5.

To make the value of the expression equal to 5, we need to modify the expression inside the parentheses. One way to do this is:

32 ÷ (10 - (8 ÷ (2 - 3)))

Here, we use the parentheses to change the order of operations so that we subtract 3 from 2 before dividing 8 by the result. This gives us:

8 ÷ (-1) = -8

So now the expression inside the parentheses becomes:

10 - (-8) = 18

So the entire expression becomes:

32 ÷ 18 = 1.78

This is still not equal to 5.

Another way to make the value of the expression equal to 5 is:

(32 ÷ (10 - 8)) ÷ 2 - 3

Here, we use the parentheses to ensure that we divide 32 by the result of (10 - 8) before dividing the whole expression by 2 and subtracting 3. This gives us:

32 ÷ 2 - 3 = 13

So the entire expression becomes:

13

And this is equal to 5.

Therefore, one possible expression that includes a set of parentheses so that the value of the expression is 5 is:

(32 ÷ (10 - 8)) ÷ 2 - 3

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Answer:

Therefore, Company B is offering the lowest price/lb at $12.73/lb.

So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb

Step-by-step explanation:

To determine price per lb, divide dollar amount by lbs.

- Company A sells 2 1/2lbs (2.5lbs) for $32.50

- Company B sells 2 3/4lbs (2.75lbs) for $35.00

And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb

Answer:

Step-by-step explanation:(-4, -1) --> (4, -1). Translating two units to the right means adding two units to the x-coordinate: (4, -1) --> (6, -1). This is our final point

Answer:

£19

Step-by-step explanation:

Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.

Answer:

\(f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)\)

Step-by-step explanation:

From inspection of the graph, we can see that the curve intercepts the x-axis at (-4, 0), (-1, 0) and (3, 0)

Therefore,

x = -4 ⇒ x + 4 = 0

x = -1 ⇒ x + 1 = 0

x = 3 ⇒ x - 3 = 0

Because (-4, 0) touches the x-axis, then (x + 4)² will be a factor

So (x + 4)², (x + 1) and (x - 3) are all factors of the polynomial

\(\implies f(x) = \dfrac{1}{n}(x + 4)^2(x + 1)(x - 3)\)

If we multiply the constants, this will give us the y-intercept:

⇒ 4² x 1 x -3 = -48

From inspection of the graph, the y-intercept is -6

So to get from -48 to -6 we need to multiply -48 by 1/8

Therefore, n = 1/8

\(\implies f(x) = \dfrac{1}{8}(x + 4)^2(x + 1)(x - 3)\)

Step-by-step explanation:

the factored representation has at least one major advantage : the zero-solutions are directly visible.

as whenever one factor turns zero, the whole function turns zero.

the zero solutions are

(-4, 0)

(-1, 0)

(3, 0)

based on this we get

(x + 4)(x + 1)(x - 3)

for x = -4 the first factor is 0.

for x = -1 the second factor is 0.

for x = 3 the third factor is zero.

the y-intercept gives us a hint about 1/#, as this is the y value when x = 0.

this is then

1/# × (0+4)(0+1)(0-3) = 1/# × -12

the point (0, -6) tells us this must be equal to -6.

1/# × -12 = -6

1/# = -6/-12 = 1/2

# = 2

so, we get

f(x) = 1/2 × (x + 4)(x + 1)(x - 3)

but that is still not the whole result.

why ?

because the first zero solution (-4, 0) is actually the merger of 2 zero solutions, as the vertex of a loop is only touching the x-axis.

if we shift the whole graph a little bit down, we see that this x-intercept would turn into 2 intercepts.

so, this function has actually 4 zero solutions.

that tells us that the polynomial is of 4th degree (there must be a "x⁴" somewhere in the expression as highest exponent of x).

but multiplying only 3 factors based on x will give us only x³ as highest x exponent.

the solution : the first factor has to represent 2 zero solutions as the graph indicates.

how ?

by squaring that factor.

so, our function looks like

f(x) = 1/2 × (x + 4)²(x + 1)(x - 3)

now we get "x⁴" in the expression.

but wait, now for x = 0 the 1/# is not right anymore.

we have now

1/# × (0+4)²(0+1)(0-3) = 1/# × 16×1×-3 = 1/# × -48

so,

1/# × -48 = -6

1/# = -6/-48 = 1/8

# = 8

so, finally, the fully correct function is

f(x) = 1/8 × (x + 4)²(x + 1)(x - 3)

The equation of logarithm are solved and

a) A = 2 + 3 log x + 4 log b

b) B = ( 36 + x + y ) ( log 6 )

c) C = ( 1/2 )x log 5

d) D = ln ( x⁴ / y² )

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

A = 2 log 10 + 3 log x + 4 log b

The base of the logarithm is 10 , so

A = 2 + 3 log x + 4 log b

b)

B = log 6³⁶ + log 6ˣ - log 6^ ( y )

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

B = 36 log 6 + x log 6 + y log 6

On taking the common term , we get

B = ( 36 + x + y ) ( log 6 )

c)

C = ( 1/2 )log 5ˣ

From the properties of logarithm , we get

C = ( 1/2 )x log 5

d)

D = 4 ln x - 2 ln y

From the properties of logarithm , we get

D = ln x⁴ - ln y²

On further simplification , we get

D = ln ( x⁴ / y² )

Hence , the logarithmic equations are solved

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Answer:

C  69

Step-by-step explanation:

The correct option for Which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is C. 69%

A population is the number of living people that live together in the same place. A city's population is the number of people living in that city. These people are called inhabitants or residents. The population includes all individuals that live in that certain area.

Conclusion: It can be a group of people, objects, events corporations, and so forth. you use populations to attract conclusions. determine 1: population. An example of a population would be the complete scholar body at a faculty. it'd consist of all of the college students who examine in that university at the time of statistics collection.

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