Select all the correct answers.
Third
B.
90 feet
A. 16, 200 feet
√180 feet
C. √16, 200 feet
180 feet
D.
The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first base throws the ball to a
player at third base, what is the distance the player has to throw?
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In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.

What is meant by power?

Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.

What is meant by exponent?

An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.

According to the given information

To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:

log7(7ˣ) = log7(2,401)

x = log7(2,401)

Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.

Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:

7⁴ - 2 = (7²)² - 2

= 49² - 2

= 2,401

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using cos to get x

cos -1 of 13/20

= 49.45

then y = 40.54° using sin y= opp /hyp =13\15

then the sin-1 of 13/20 =40.54 •

i need the answer to this lol

Divide the 240 cases into the 15 employees:

Answer: a battery it is right it told me the answer

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

The equation to use for CONTINUOUS compounding is :

FV = PV e^(it)

18532.08 = 8327 * e^( i*10)        where i is the interest in decimal form

18532.08/8327  = e^(10i)

2.225541 = e^(10i)             now take natural log  (ln) of both sides to get

.8000 = 10i

i = .08     or 8% interest

Answer:

Reflexive Property of Equality

Answer: ten minutes per car

Step-by-step explanation:

50 divided by 5 is ten

The unit rate would be the time to do one car.

Divide total time by total cars:

50 minutes / 5 cars = 10 minutes per car.

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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Check the picture below.

\(\left( \cfrac{-5x^2}{y^3} \right)^{\underline{2}}\implies \left( \cfrac{(-5)^{\underline{2}}x^{2\cdot \underline{2}}}{y^{3\cdot \underline{2}}} \right)\implies \cfrac{(-5)(-5)x^4}{y^6}\implies \cfrac{25 x^4}{y^6}\)

Answer:

hola, por que? si 8xup3 euqlieas tja gnaot nighar

Step-by-step explanation:

The difference of 5/6 - 5/12 is 5/12..

A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by the denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator same.

In this question, we need to apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:

Given

5/6 - 5/12

Now multiply by 2 in fraction 5/6

10/12 - 5/12

5/12

The difference is 5/12.

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The annual interest rate of the bank account is 2.3%

Let's check the equation for each year.

Compound Interest earned amount

A = P( 1 + r/n)ⁿˣ

A = accumulated amount

P =  original amount deposited

r =  interest rate

n = times it compounds per year

x = years

when Amount = $736.80, x = 4 years and r% → r/100

736.80 = P(1 +[(r/100)/1] ¹×⁴

736.80 = P(1 + r/100)⁴

when Amount =$788.82 , x = 7 years and r% → r/100

788.82 = P(1 +[(r/100)/1] ¹×⁷

788.82 = P(1 + r/100)⁷

using the 1st equation:

736.80 = P(1 + r/100)⁴

P = 736.80 /[(1 + r/100)⁴]

Substitute on the Using 2nd equation

788.82 = P(1 + r/100)⁷

788.82 =  736.80 /[(1 + r/100)⁴] * (1 + r/100)⁷

788.82 =  736.80 * [(1 + r/100)⁷/(1 + r/100)⁴]

788.82 = 736.80 * (1 + r/100)³

788.82/736.80 = (1 + r/100)³

∛788.82/736.80 = ∛ (1 + r/100)³

∛788.82/736.80 = (100 + r)/100

100 ∛788.82/736.80 = 100 + r

100 ∛788.82/736.80 - 100 = r

r ≈ 2.3%

Hence, the annual interest rate of the bank account is 2.3%

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Answer:

50,000 x 0.90 ^ 4 = X

Step-by-step explanation:

Since the value of a car worth $ 50,000 is deprecating half yearly at 10 percent, the correct expression to express its value after 2 years is determined through the following calculation:

50,000 x 0.90 ^ 4 = X

32.805 = X

Thus, after 2 years with a semi-annual depreciation of 10%, the car will be worth $ 32,805.

The equation represents exponential growth is , y= 2*\(3^{x}\) and y= 3*\(5.2^{x}\) .

Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.

The equation, y= 3x shows a linear graph.

The equation, y= 0.2x shows a linear graph.

The equation, y= 2*\(3^{x}\) shows a exponential growth graph.

The equation, y= 3*\(5.2^{x}\) shows a exponential growth graph.

The graph of the above equations are shown below

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Yes, you would distribute the exponent to both the denominator and numerator. For example, if you had an expression like (2/3)^4, you would distribute the exponent to end up with (2^4)/(3^4).

For example, if you have an expression like (2/3)^4, the exponent of 4 should be distributed to both the numerator and denominator, resulting in (2^4)/(3^4). This is equivalent to multiplying the numerator and denominator by the same amount, 4 times. This is the same as writing (2*2*2*2)/(3*3*3*3), or simply

16/81.

1. Start with the expression

(2/3)^4

2. Distribute the exponent of 4 to the numerator and denominator, resulting in

(2^4)/(3^4)

3. This is equivalent to multiplying the numerator and denominator by 4, so (2^4)/(3^4)

= (2*2*2*2)/(3*3*3*3)

4. Simplify the expression to 16/81

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Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

Let's find the mean, median, and mode for each set of numbers:

Set: 40, 38, 29, 34, 37, 22, 15, 38

Mean: To find the mean, we sum up all the numbers and divide by the total count:

Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125

Median: To find the median, we arrange the numbers in ascending order and find the middle value:

Arranged set: 15, 22, 29, 34, 37, 38, 38, 40

Median = (29 + 34) / 2 = 63 / 2 = 31.5

Mode: The mode is the number(s) that appear(s) most frequently in the set:

Mode = 38 (appears twice)

Set: 26, 32, 12, 18, 11, 14, 21, 12, 27

Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222

Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32

Median = 18

Mode: No mode (all numbers appear only once)

Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15

Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611

Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15

Median = 8

Mode: Mode = 8 (appears 4 times)

Mean: 34.125, Median: 31.5, Mode: 38

Mean: 19.222, Median: 18, No mode

Mean: 8.611, Median: 8, Mode: 8

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All you have to do is see what the answer to 9 x 5= is! It is very simple once you get the hang of it! If you don't know what 9 x 5= is you can count by 5s. If you did the multiplication it is $45!

Answer:

D

Step-by-step explanation:

an inverse function is a function that reverses another function for ex. if f(x)=y and g(y)=x.

Answer:

A and C

Step-by-step explanation:

Answer:The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

Step-by-step explanation:

The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

The equation of a circle usually takes the form;

(x-a)² + (y-b)² = r²

where a and b are x- and y- coordinates of the center of the circle.

In this scenario, the center is at the origin (0,0).

In essence, the points on the circle which have an x-coordinate of 1 can be evaluated as follows;

(1-0)² + (y - 0)² = 4²

1 + y² = 16.

y² = 15

y = ±√15.

The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)

Answer:

\(\frac{dh}{dt}=0.5ft\)

Step-by-step explanation:

From the question we are told that:

Length \(l=12\)

Top length \(l_t=3ft\)

Height \(h=1ft\)

Rate \(R=14 ft3/min\)

Water rise \(w=4\)

Generally the equation for Velocity is mathematically given by

\(V=frac{1}{2}wh'(l)\\\\V=frac{1}{2}wh'(12)\)

\(V=18h'^2\)

Therefore

\(R=18(2h)(\frac{dh}{dt})\)

Where

\(h=\frac{3}{4}\)

Therefore

\(\frac{dh}{dt}=\frac{R}{18(2h)}\)

\(\frac{dh}{dt}=\frac{14}{18(2.3/4)}\)

\(\frac{dh}{dt}=0.5ft\)

Answer:

yes

Step-by-step explanation:

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