I need help solving this, Solve For X

Answer:

200

Step-by-step explanation:

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Sara should expect a paycheck of $91.80 from her first full of work.

In the question, we are given that Sara just started her first job as an assistant at an after-school child care center. She works 12 hours a week and makes $9 per hour. She has been told that 15% of her paycheck will be deducted for federal, state, and local taxes.

We are asked for the amount that Sara should expect her paycheck of, from her first full week of work.

The time for which Sara works weekly = 12 hours.

The per hour earning of Sara = $9.

Thus, the total earnings after working for 12 hours at the rate of $9 per hour is 12*$9 = $108.

Now, the deduction is given to be 15%.

Thus, the total deduction = 15% of $108 = $16.20.

The amount on the paycheck = The total earnings less the deduction,

or, the amount on the paycheck = $108 - $16.20 = $91.80.

Thus, Sara should expect a paycheck of $91.80 from her first full of work.

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The box that depicts the number of dogs at the daycare each day is Box C which shows median of 60. The Option C.

The full data for number of dogs at the daycare each day is:

\(47,38,72, 56, 40, 64, 30, 80, 66, 51, 33, 74, 70, 69\)

To get median, we will arrange the numbers in ascending order which is:

\(30, 33, 38, 40, 47, 51, 56, 64, 66, 69, 70, 72, 74, 80\)

Since we have an even number of observations (14), the median will be the average of the two middle numbers.

The two middle numbers are 56 and 64. So the median is:

= (56 + 64) / 2

= 120 / 2

= 60.

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Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

Answer:

We reject H0 and conclude that difference ls occur in the number of Absences

Step-by-step explanation:

Given the data :

Day Monday Tuesday Wednesday Thursday Friday

Absences 37 15 12 23 43

H0: The proportions are all equal

H1: The proportions are not equal

We use the Chisquare test:

The test statistic :

χ² = Σ(observed - Expected)² / Expected

Expected value is the same for all the days, since they have the same frequency :

Expected value = percentage * sample size

Sample size = 37 + 15 + 12 + 23 + 43 = 130

Expected value = (100/5)% * 130

Expected value = 26

χ² = Σ(observed - Expected)² / Expected

χ² = (37-26)²/26 + (15-26)²/26 + (12-26)²/26 + (23-26)²/26 + (43-26)²/26

χ² = 28.31

The Pvalue using Pvalue from Chisquare test score calculator, df = 4

Pvalue = 0.000011

α = 0.05

Pvalue < α ; We reject H0 and conclude that difference ls occur in the number of Absences

The area and perimeter of 2D shape of Rectangle is 6.8448cm and 11.04cm repectively. The area and perimeter of 2D shape of circle is 5.0761cm and 8.0028cm respectively.

2D shape of Rectangle with dimensions of Length is3.72 cm and Width is 1.84 cm. we can find the area of rectangle with formula Area = length x width and the formula of perimeter is Perimeter = 2(length + width).

Area = length x width = 3.72 cm x 1.84 cm = 6.8448 square cm (rounded to four decimal places)

Perimeter = 2(length + width) = 2(3.72 cm + 1.84 cm) = 11.04 cm

2D shape of Circle with dimension of diameter of 2.54 cm. we can find the area with formula Area = πr^2 and circumference with formula Circumference = 2πr

Radius = diameter / 2 = 2.54 cm / 2 = 1.27 cm

Area = πr^2 = π(1.27 cm)^2 = 5.0761 square cm (rounded to four decimal places)

Circumference = 2πr = 2π(1.27 cm) = 8.0028 cm (rounded to four decimal places)

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____The given question is incomplete, the complete question is given below:

Calculating area and circumference or perimeter of a 2D shape. Use your measurements to calculate the area and circumference of the circle and to calculate the area and perimeter of the rectangle. Rectangle Length: 3.72 cm Width: 1.84 cm  Circle : 2.54 cm Diameter of circle

Answer:

4 2/5

Step-by-step explanation:

     11 7/10

-      7 3/10

----------------

      4 4/10

4 4/10 = 4 2/5

Answer:

Step-by-step explanation:

This expressions equals \(\sqrt{(x-2)^{2}\)

You can simplify to absolute value of x-2 when x is less than 2

The value of the unknown angle x would be 43 degrees.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We have been given a right-angle triangle with a perpendicular side of 6 units and a hypotenuse of 10 units.

The unknown angle is x which needs to find.

Therefore, applying trigonometry;

Sin x = perpendicular/hypotenuse

Sin x = 6/10

Sin x = 3/5

Sin x = 0.6

x = Sin inverse (0.6)

x = 43 degrees.

Hence, the value of the unknown angle x would be 43 degrees.

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Answer:

The answer is D. Translate vertex A to Vertex D, and then rotate triangleABC around point A to align the sides and angles

Translating vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles will bring about a rigid transformation, the correct answer is D.

The transformations that preserves the Euclidean distance between points. This could be as a result of the any transformation.

Triangle ABC and DEF is shown,

Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.

To map ΔABC to ΔDEF , the  vertex A will be translated to vertex D, and then the triangle is rotated around point A.

This will maintain the distance between the points when vertex A to D.

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The sales tax is 6.5% of $87.99. If $87.99 represents 100%, to find the 6.5% we can use the next proportion:

Solving for x:

The sales tax is $5.72. In consequence, the total cost is:

Answer:

Step-by-step explanation:

Three-fourths of the difference of a number and 7 is negative fifteen:

Answer:

\(\boxed{\sf \ \ \ \text{one possibility is } f(x)=3x \ and \ g(x)=x+2 \ \ \ }\)

Step-by-step explanation:

hello

h(x)=f(g(x))=3(x+2)

if we have f(x)=3x and g(x)=x+2 then

f(g(x))=f(x+2)=3(x+2)

hope this helps

sixty tow seven is not a number.

Answer:

200 kilometers and 150 kilometers

Answer:

The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.

Step-by-step explanation:

the answer is 6the answer is 600 words

The amount that you need to save per month to fund the emergency fund would be $ 861. 58.

The discretionary money left per month would be $ 585. 88.

The gross income for the month :

= 17. 50 x 40 per week x 4 weeks a month

= $ 2, 800

The amount left which is realized funds for the month is:

= Gross income - FICA + Federal tax withholding + State tax withholding

= 2, 800 x ( 1 - 26. 15 %)

= $ 2, 067. 80

Five months of realized income for the emergency fund is:

= 2, 067. 80 x 5

= $ 10, 339

The amount to save per month is:

= 10, 339 / 12

= $ 861. 58

The amount left per month for discretionary expenses ;

= 2, 067. 80 - 861. 58 - 620. 24 rent

= $ 585. 88

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Answer:

m = 2/3

Step-by-step explanation:

Answer:

\( \frac{2}{3} \)

Step-by-step explanation:

slope is

\( m = \frac{rise}{run} = \frac{y 2 - y1}{x2 - x1} \)

(0,0) & (3,2)

\( m = \frac{2 - 0}{3 - 0} = \frac{2}{3} \)

Answer:

B

Step-by-step explanation:

You add tax to the price not multiply

Answer:1.065p

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

the slope is m in y=mx+b

hope this helps!

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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Answer:

25/4

Step-by-step explanation:

Remember the following square formula?

(x+a)^2=x^2+2ax+a^2

This suggests that

2a=5

a=5/2

a^2=25/4

The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

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

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

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Answer:

y=1 , z=-2

Step-by-step explanation:

I will use the method of elimination :

Multiply the top equation by 5 to make equation 3 :

35z + 15y = -55

Multiply bottom equation by 3 to make equation 4:

6z + 15y = 3

Subtract equation 3 from equation 4 to eliminate the y :

-29z = 58

Divide both sides by -29 to solve for z :

z = 58 ÷ -29

z = -2

Substitute this value into either equation 1 or 2 to solve for y :  

I chose equation 2 :

2(-2) + 5y = 1

-4 + 5y = 1

Add 4 to both sides :

5y = 5

Divide both sides by 5 :  

y = 1

Hope this helped and have a good day

Answer: 6x+6

Step-by-step explanation: The equation we will be using here is Perimeter of rectangle = 2*(Length+Width) We are given that the width is 3x-2 and the length is 5. We can plug into the perimeter equation to get Perimeter = 2*(3x-2+5).

2*(3x-2+5)

2*(3x+3)

6x+6  Distributive property

Our perimeter is 6x+6 in terms of x.

Hope this helps!