HELP ME PLEASE
What is 50% of 36?

A. 9

B. 16

C. 18

D. 34

Answer:

1. x - 1

2. \(\sqrt{x^2-1}\)

Step-by-step explanation:

\(f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1\)

\(g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}\)

Answer:

R=i

Step-by-step explanation:

R=i×100÷p×t

r=30105×100÷6570×12

r=3010500÷78840

r=38.18

Answer:

the question is not valid with "obj."

The scientific notation of the given number is 1.24×10⁻⁶.

The given number is 0.00000124.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, 0.00000124=1.24×10⁻⁶.

Therefore, the Scientific notation of the given number is 1.24×10⁻⁶.

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Answer:

c

Step-by-step explanation:

i really dont know pls help PAHAHA

The baby's weight at the birth of the baby was 7 pounds.

Given is that a linear model of this situation contains the values (1, 7.3) and (9, 9.7), where [x] represents the number of weeks, and [y] represents the baby's weight, in pounds.

Assume the equation of the line in slope - intercept form is -

y = mx + c

Now -

m = (9.7 - 7.3)/(9 - 1)

m = 2.4/8

m = 0.3

The equation will be -

y = 0.3x + c

For the point - (1, 7.3), we can write -

7.3 = 0.3 x 1 + c

c = 7.3 - 0.3

c = 7

Therefore, the baby's weight at the birth of the baby was 7 pounds.

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Answer: 395

Step-by-step explanation:

Answer is 26/21

Or 1 5/21

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This suggests that the majority of the team members have an average weight of between 90 and 100 lbs.

1. A box plot is a chart that displays the distribution of a dataset by showing the median, quartiles, and extremes of the data.

2. In this box plot, the middle 50% of the weights for the team members range from 90 to 100.

3. This means that the majority of the team members have an average weight of between 90 and 100 lbs.

The box plot shows that the majority of the team members have an average weight between 90 and 100 lbs.

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The the coefficient of variation for set a is 15.7% and the coefficient of variation for set b is 22.3%.

The formula for calculating the coefficient of variation is:

CV = (standard deviation / mean) x 100%

where standard deviation is a measure of the spread of the data around the mean. The CV expresses the standard deviation as a percentage of the mean.

To calculate the CV for set a, we first need to find the mean and standard deviation of the data set. The mean can be calculated by adding all the values and dividing by the number of values.

Mean = (3.97 + 3.47 + 3.99 + 4.30 + 3.16 + 3.07 + 4.24 + 2.94 + 3.56 + 3.43 + 3.06 + 3.34 + 4.35 + 3.57) / 14 = 3.65

The standard deviation can be calculated using a calculator or a spreadsheet software such as Microsoft Excel. For this set, the standard deviation is 0.574.

CV = (0.574 / 3.65) x 100% = 15.7%

To calculate the CV for set b, we need to first remove the dollar sign from each value and then find the mean and standard deviation.

Mean = ($24,800 + $30,000 + $22,300 + $20,400 + $19,000 + $32,200 + $23,000 + $23,000 + $24,000 + $27,200 + $34,900) / 11 = $25,727.27

The standard deviation can be calculated using a calculator or spreadsheet software. For this set, the standard deviation is $5,746.38.

CV = ($5,746.38 / $25,727.27) x 100% = 22.3%

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Answer:

I think the answer is c

Step-by-step explanation:

The effect of the decrease on the salary of $54000 will be b. Benefit would decrease by $7,020 annually.

Social security is the safety net that a society offers to individuals and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.

One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. The effect of the decrease will be:

= 13% × $54000

= $7020

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Answer:

1.26

Step-by-step explanation:

geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26

The gravitational force that the moon produces on the Earth is approximately \(1.98 \times 10^{20}\ \mathrm{N}$.\)

What is gravitational force?

Gravitational force is the force of attraction that exists between any two objects in the universe with mass. This force is directly proportional to the masses of the objects and inversely proportional to the square of the distance between their centers.

The gravitational force that the moon produces on the Earth can be calculated using the formula:

\(F = G \cdot \frac{m_1 \cdot m_2}{r^2}\)

where:

\(G$ = gravitational constant = $6.67430 \times 10^{-11}\ \mathrm{N(m/kg)^2}$\)

\(m_1$ = mass of the moon = $7.34 \times 10^{22}\ \mathrm{kg}$\)

\(m_2$ = mass of the Earth = $5.97 \times 10^{24}\ \mathrm{kg}$ (approximate)\)

\(r$ = distance between the centers of the Earth and the moon = $3.88 \times 10^8\ \mathrm{m}$\)

Substituting these values into the formula, we get:

\(F &= 6.67430 \times 10^{-11} \cdot \frac{7.34 \times 10^{22} \cdot 5.97 \times 10^{24}}{(3.88 \times 10^8)^2} \&= 1.98 \times 10^{20}\ \mathrm{N}\)

Therefore, the gravitational force that the moon produces on the Earth is approximately \(1.98 \times 10^{20}\ \mathrm{N}$.\)

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Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \pounds 2200\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &2 \end{cases} \\\\\\ A = 2200[1+(0.10)(2)] \implies A = 2200(1.2)\implies A = 2640\)

The expression shows the total amount in Diego's savings account after m months is 500 - 20m.

What is the total amount?

Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.

Here, we have

Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.

Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.

The expression:

= 500 - 20m

Here m is the number of months

Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.

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Answer:

Step-by-step explanation:

a) Total weight comprises of the weight of jar plus weight of Jolly Ranchers

b) When the candy jar is full, it weighs 1224 grams. How many Jolly Ranchers can the jar hold?  

Given w = 1224, then to find j we solve the equation:

The jar can hold 129 Jolly Ranchers

Answer:

There are 30 + 40 = 70 sections reserved for orange and blue tiles. This means there are 100 - 70 = 30 sections left for other colors.

To express the fraction of the mosaic wall left for other colors, we can write:

30 sections left / 100 total sections = 3/10

Therefore, the fraction of the mosaic wall left for other colors is 3/10.

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

Answer:

Describe in a well-written paragraph how you will analyze this scenario and the process you will use to arrive at an answer.

The solution is: Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1, the following functions is graphed below.

Option C is correct.

Explanation:

We are given a graph of piece-wise function which break at x=1

We need to choose correct option for graph.

Function is break at x=1.

We will get two function

For x≤1 and x>1

As we can see x≤1, graph is linear and x>1 graph is parabolic.

Equation of linear graph, x≤1

Take two point of graph (0,6) and (-6,0)

Equation of line:

y-y1/y2-y1 = x-x1/x2-x1

y = x+1

f(x)=x+6 , x≤1

Equation of parabolic graph, x>1

f(x) = x^2 + 3

Piece-wise function

f(x)=x+6 , x≤1

f(x) = x^2 + 3 , x>1

Please see the attached figure.

Hence, The option C is correct.

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Answer:

y+35=2y-47

35+47=2y-y

82=y

Answer:

2y= 6-3x when x=0

2y= 6-3(0)

2y= 6-0

2y= 6

y= 6/2

y= 3

#i'm indonesian

#hope it helps.

Answer:

\( \boxed{y = 3}\)

Step-by-step explanation:

Given, x = 0

\( \mathsf{2y = 6 - 3x}\)

plug the value of x

⇒\( \mathsf{2y = 6 - 3 \times 0}\)

Multiply the numbers

⇒\( \mathsf{2y = 6 - 0}\)

Calculate the difference

⇒\( \mathsf{2y = 6}\)

Divide both sides of the equation by 2

⇒\( \mathsf{ \frac{2y}{2} = \frac{6}{2} }\)

Calculate

⇒\( \mathsf{y = 3}\)

Hope I helped!

Best regards!

Answer:

the answer is D. because 5×4=20, he had a total of 40 at the end so you subtract 20 from 40 and his initial amount of songs was 20.

The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Answer:

5

Step-by-step explanation:

because it takes 4 1/5 paint for each canvas 5 times 4 1/5 is 21.

Answer:

28/33

Step-by-step explanation:

We first let 0.84 be  x.

Since  x  is recurring in 2 decimal places, we multiply it by 100.

100x=84.84

Next, we subtract them.

100x−x=84.84−0.84

99x=84

Lastly, we divide both sides by 99 to get  x  as a fraction.

x=84/99

=28/33