solve 15 over x+2 equals 3 over 4

Step-by-step explanation:

hope I understand your question

a = 9/12

b = 6/5

c = 1/12

please simplify the fractions by yourself

Answer:

28 in

Step-by-step explanation:

Use Pythagoras Theorem

\( {a}^{2} + {b}^{2} = {c}^{2} \)

Where c is the hypotenuse of the right angle triangle ,and a and b the other sides. Just substitute the values and get your answer.

Answer:

Step-by-step explanation:

They are showing you how to factor 12-9i+8i-6i².

Find the greatest common factor in each row and each column.

Blue:  GCF of 12 and -9i = 3

Orange: GCF of 8i and -6i² = 2i

Red: GCF of 12 an 8i = 4

Green: GCF of -9i and -6i² = 3i, but both terms are negative, so use -3i

Answer:

2/4 and 3/4

Step-by-step explanation:

To make both fractions have the same denominator, multiply 1/2 by 2. 1/2 times 2 equals 2/4

Answer:

2x + 4 = 10

Step-by-step explanation:

4 added, 2 times of a number means x times 2, the equation has to equal 10

The fraction that is equals to 0.8 is given as follows:

8/10.

A fraction is represented by the division of a term x by a term y, such as in the equation presented as follows:

Fraction = x/y.

The terms that represent x and y are listed as follows:

The decimal representation of each fraction is given by the division of the numerator by the denominator, hence:

8/10 = 0.8.

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The unitary technique allows us to estimate that 184 people were in the survey

Using the unitary technique, we may determine this same value of a specific unit from the value among many units and or the value of numerous units from the value of a single unit.

We can determine the value among several units from either the value of one unit as well as the value of many components from the value about one unit using this method.

The unitary method provides the value of many things, thus we must either determine the value of more or fewer objects.

5*23

= 115 people

and 3 parts

= 3*23

= 69 people.

this gives a total of 184 people in the survey.

Hence, 184  people were in the survey.

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Answer:

133/7 = 19

Step-by-step explanation:

"Find the average change in the zoo's tiger food supply each day."

And what does that have to do with anything? It's not like there is a change in diet that we can then easily calculate using derivatives.

Step-by-step explanation:

a.3.4cm

b.23000l

c.0.016g

d.3000m

e.2000mg

Answer:

i think it is 136 sorry if i am wrong

Step-by-step explanation:

Answer: 25 Rides

Step-by-step explanation:

Forty (cost of pass per month) divided by 1.60 (Cost of rides) = 25 rides until the cost of the rides equals the price of the pass.

On solving the mentioned equation, the correct answer for value of x will be d. no solution.

We will begin with converting the base to same numbers. As per the fact, 49 is the square of 7 and 323 is the cube of 7. So, the equation will be -

\( {7²}^{3x} = {7³}^{(2x + 1)} \)

Now, performing the multiplication of both exponents on both sides of the equation

\( {7}^{6x} = {7}^{(6x + 3)} \)

As the bases are equal, hence will be the exponents.

6x = 6x + 3

6x is common on both sides and hence x will not exist. Thus, no solution is possible.

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The correct question is -

Solve: \( {49}^{3x} = {343}^{(2x + 1)} \). a. x = –3 b. x = 1 c. x = 3 d. no solution

Answer:

It's D, No solution.

Step-by-step explanation:

I did the assignment.

The missing values are a = 0, b= 6 and c=4.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have function,

f(x) = -x² + x + 6

At x= -2

f(-2) = -(-2)² + (-2) + 6 = -4 -2  + 6= 0

At x = 0

f(0) = -0² + 0 + 6= 6

At x = 2

f(2) = -2² + 2 +6 = -4 + 8= 4

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General form y= ax^2+bx+c

standard form y = a(x-h)^2+k

where

(h,k)= vertex = (7,2)

Since the zero are at -1 and 15 we have the points

(-1,0) and (15,0)

We will use one of the points (-1,0) and the vertex in the general form:

0= a(-1-7)^2+2

0= a(-8)^2+2

0= a64+2

-2 =a64

-2/64 =a

-1/32 =a

y= -1/32 (x-7)^2+2

y =-1/32 (x-7)(x-7)+2

y= -1/32 (x^2-14x+49)+2

y= -1/32 x^2+7/16x-49/32+2

y= -1/32x^2+7/16x-113/32

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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the equation f(x) = -10 is guaranteed to have a solution in the interval [12, 15] according to the Intermediate Value Theorem.

To determine which equation has a solution in the interval [12, 15] according to the Intermediate Value Theorem (IVT) applied to the function f(x) = x + tan(x/5) - 10, we need to check the sign changes of f(x) over that interval.

Let's evaluate f(x) at the endpoints of the interval:

f(12) = 12 + tan(12/5) - 10 ≈ -2.84

f(15) = 15 + tan(15/5) - 10 ≈ 2.08

We can observe that f(12) is negative and f(15) is positive.

Since f(x) is a continuous function, the IVT states that if f(x) changes sign over an interval, it must pass through zero at least once within that interval.

Considering the given options:

1) f(x) = -10: Since f(12) is negative and f(15) is positive, there must be a solution to f(x) = -10 in the interval [12, 15].

2) f(x) = 0: We cannot conclude whether there is a solution to f(x) = 0 within the interval [12, 15] based on the information provided. The function may or may not cross the x-axis within that interval.

3) f(x) = 4: We cannot conclude whether there is a solution to f(x) = 4 within the interval [12, 15] based on the information provided. The function may or may not take the value 4 within that interval.

4) f(x) = 14: Since f(12) is negative and f(15) is positive, there is no solution to f(x) = 14 within the interval [12, 15].

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Then you can use the solver to calculate the monthly payment, the total amount paid over the life of the loan, and the total interest paid. In this case, the monthly payment is $2,856.87, the total amount paid is $514,036.60, and the total interest paid is $139,036.60.

To solve this problem using a time value of money (TVM) solver, follow these steps:
1. Input the necessary information into the TVM solver. The present value (PV) is the price of the home, which is $425,000. The payment (PMT) will be calculated based on paying off the loan monthly for 15 years at 2.5% interest. The number of payments (N) is 180 (15 years x 12 months per year). The future value (FV) will be 0 since the loan will be fully paid off after 15 years. The down payment (DP) is $50,000.
2. Solve for the payment (PMT) using the TVM solver. The PMT comes out to be $2,856.87 per month.
In long answer, to solve this problem using a TVM solver, you need to input the necessary information such as the price of the home, the interest rate, the number of payments, and the down payment

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Answer:

The answer is D

Step-by-step explanation:

because 25.49% of 2,745 is 699.7005

a. The average rate of change of the reaction time when the number of choices goes from 10 to 100 ≈ 0.044 seconds per additional choice.

b. The rate of change of the reaction time with respect to the number of choices is 0.44 divided by the number of choices (N).

To obtain the average rate of change of the reaction time when the number of choices goes from 10 to 100, we need to calculate the change in the reaction time (R) divided by the change in the number of choices (N).

a. Average Rate of Change:

ΔR/ΔN = (R₂ - R₁) / (N₂ - N₁)

Substituting the values:

ΔR/ΔN = (0.17 + 0.44 * log(100) - (0.17 + 0.44 * log(10))) / (100 - 10)

Simplifying:

ΔR/ΔN = (0.44 * log(100) - 0.44 * log(10)) / 90

ΔR/ΔN = 0.44 * (log(100) - log(10)) / 90

ΔR/ΔN = 0.44 * (log(100/10)) / 90

ΔR/ΔN = 0.44 * log(10) / 90

ΔR/ΔN ≈ 0.044 seconds

Therefore, the average rate of change of the reaction time ≈ 0.044 seconds per additional choice.

b. To find the rate of change of the reaction time with respect to the number of choices, we need to take the derivative of the given function with respect to N.

Rate of Change:

dR/dN = 0.44 / N

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Answer:

Step-by-step explanation:

7 students from the Junior class.

6 students from the Senior class.

4 new members are to be chosen.

Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.

Answer:

65%

Step-by-step explanation:

39/60 X 100

(39 being the number of movies he rated very good, divided by the total number of movies he watched which is 60)

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

The probability of selecting a senior who has a parking pass and a junior who has a parking pass is 0.2730.

At Westville Highschool, there are 315 seniors and 389 juniors. 65% of the seniors have parking passes and 42% of the juniors have parking passes. The statistics teacher selects an SRS (Simple Random Sample) of 30 seniors and a separate SRS of 30 juniors.

To determine the probability of selecting a senior who has a parking pass and a junior who has a parking pass, first the probability of selecting a senior who has a parking pass must be calculated. Since 65% of the seniors have parking passes, the probability of selecting a senior with a parking pass is 0.65. Secondly, the probability of selecting a junior with a parking pass must be calculated. Since 42% of the juniors have parking passes, the probability of selecting a junior with a parking pass is 0.42.The probability of selecting a senior who has a parking pass and a junior who has a parking pass can be found by multiplying the two probabilities. 0.65 x 0.42 = 0.2730.

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The range of the data set is 16 inches.

The range of a data set represents the difference between the highest and lowest values in the set. In this case, the data set consists of the following heights (in inches):

59, 62, 62, 62, 64, 66, 67, 67, 67, 71, 72, 75

To find the range, we need to determine the minimum and maximum values in the set. By sorting the data set in ascending order, we can identify the minimum and maximum values more easily:

59, 62, 62, 62, 64, 66, 67, 67, 67, 71, 72, 75

The smallest value in the set is 59, which is the minimum value, and the largest value is 75, which is the maximum value.

To calculate the range, we subtract the minimum value from the maximum value:

Range = Maximum value - Minimum value

Range = 75 - 59

Range = 16 inches

Therefore, the range of the given data set is 16 inches. This means that the difference between the tallest and shortest student in the class is 16 inches.

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Answer:

D

Step-by-step explanation:

f(4)=-2(4)2 +12

f(4)=-82+12

f(4)=-64+12

f(4)=-52

= -52

DONE!

Answer:

A.) - 20

Step-by-step explanation:

f(x) = - 2x² + 12; f(4)

f(4) = - 2(4)² + 12

= -2 × 16 + 12

= - 32 + 12

f(4) = - 20

Thus, f(4) = - 20

-TheUnknownScientist

Answer: The slope of the line that passes through the points ( 9 , − 10 ) and ( 14 , 5) is 3.

Step-by-step explanation:

To calculate the slope of the line, we apply the following formula:

  \(\boldsymbol{\sf{m=\dfrac{\Delta y}{\Delta x} \iff \ m=\dfrac{y_2-y_1}{x_2-x_1} }}\)

where m is the slope of the line.

The points are:

         \(\boldsymbol{\sf{\diamond \ x_1=9, \ y_1=-10 }}\\ \\ \boldsymbol{\sf{\diamond \ x_2=14, \ y_2=5 }}\)

We substitute our data in the formula and solve, then

      \(\boldsymbol{\sf{m=\dfrac{5-(-10)}{14-9}=\dfrac{15}{5}=3 }}\)

The slope of the line that passes through the points ( 9 , − 10 ) and ( 14 , 5) is 3.

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What is the slope of the line that passes through the points (9 , -10 ) and (14 , 5)? Write your answer in simplest form.

From inspection on the given problem:

To calculate the slope of the line passing through the given points, we must use the formula below:

Substitute the given values into the slope formula and solve for m:

\( \sf{m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{5 - (-10)}{14 - 9} = \dfrac{15}{5} = \pmb{3}}\)

Therefore, the slope of the line that passes through the given points is 3.

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Answer:

it is just 64-18=48

Step-by-step explanation:

you have to just keep 64 the same and do the 9*2. And sum those outcomes.

Answer:

87,600 minutes

Step-by-step explanation:

Given that practice time by Jonas :

1 hour per day for 2 years :

Bradley practices : 2 hours a day more than Jonas,

How many more minutes does Bradley practice the guitar than Jonas over the course of 2 years

Number of days in a year = 365 days

2 hours per day for (2 * 365) days :

2 * (2 * 365) = 1460 hours

Recall :

60 minutes = 1 hour

(60 * 1460) = 87,600 minutes