Answer:
The answer is option D. The weekly wage is $968.
Step-by-step explanation:
The weekly salary can be found multiplying the earned money per hour and the amount of hours worked in the week:
[tex] Wweek=22\ \$/hr* 44\ hr/week[/tex]
[tex] Wweek=968\ \$/week[/tex]
how is the graph of y=-1/2(5)^x-3 translated from the graph of y=1/2(5)^x
The transformation of [tex]y = -\frac12(5)^{x-3[/tex] to [tex]y = \frac12(5)^{x[/tex] is reflection across the x-axis followed by a shift to the left by 3 units
Describing the transformation of f(x) to g(x).
From the question, we have the following parameters that can be used in our computation:
[tex]y = -\frac12(5)^{x-3[/tex]
[tex]y = \frac12(5)^{x[/tex]
Rewrite them as
[tex]f(x) = -\frac12(5)^{x-3[/tex]
[tex]g(x) = \frac12(5)^{x[/tex]
From the above, we have that
f(x) is first reflected across the x-axis
This is represented by the loss of negative factor in g(x)
Then f(x) is shifted left by 3 units
This is represented by the loss of -3 in g(x)
Hence, the transformation of f(x) to g(x) is reflection across the x-axis followed by a shift to the left by 3 units
A bowl of fruit contains 3 apples, 4 bananas, 2 pears and 1 orange.Aminata chooses one piece of fruit at random.What is the probability that she chooses.
The probability of Aminata choosing a specific type of fruit is calculated by dividing the number of that fruit by the total number of fruits in the bowl. Different fruit types have different probabilities due to their varying quantities.
Explanation:The question asks about the probability of Aminata choosing a specific type of fruit from a bowl containing 3 apples, 4 bananas, 2 pears, and 1 orange. To find the probability of Aminata choosing any one type of fruit, we first need to determine the total number of fruit pieces in the bowl, which is 3 apples + 4 bananas + 2 pears + 1 orange = 10 pieces of fruit.
The probability of selecting any specific type of fruit is then calculated by dividing the number of that fruit type by the total number of pieces.
The probability of choosing an apple is 3/10.The probability of choosing a banana is 4/10 or simplified to 2/5.The probability of choosing a pear is 2/10 or simplified to 1/5.The probability of choosing an orange is 1/10.Each fruit type has a different probability of being chosen based on its quantity in the total mix of fruits.
PLEASE HELP ASAAAAAPPPP
Arnold's company reimburses his expenses on food, lodging, and conveyance during business trips. The company pays $40 a day for food and lodging and $0.50 for each mile traveled. Arnold drove 400 miles and was reimbursed $2600. Part A: Create an equation that will determine the number of days x on the trip (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Arnold spend on this trip? (1 points)
1. Suppose that the amount of algae in a pond triples every 2 hours. If the pond initially contains 80 pounds of algae, how much algae will be in the pond after 8 hours? (1 point)
a) 720
b) 1,280
c) 6,480
d) 320
Find the volume of a cone?
simple interest = P × r × t
Joe borrowed $900 from Sam for six months. How much will Sam earn if he charges Joe a simple interest rate of 4 percent?
Answer:
$18.
Step-by-step explanation:
We have been given that Joe borrowed $900 from Sam for six months. The interest rate charged by Sam is 4%.
We will use Simple interest formula to solve our given problem.
[tex]I=PrT[/tex], where,
[tex]I=\text{Simple interest}[/tex],
[tex]P=\text{Principal amount}[/tex],
[tex]r=\text{Interest rate in decimal form}[/tex],
[tex]T=\text{Time in years}[/tex].
Let us convert our given rate in decimal form.
[tex]4\%=\frac{4}{100}=0.04[/tex]
12 months = 1 year.
1 month = 1/12 year.
6 months = 6/12 year = 1/2 year = 0.5 year.
Upon substituting our given values in simple interest formula we will get,
[tex]I=900*0.04*0.5[/tex]
[tex]I=900*0.02[/tex]
[tex]I=18[/tex]
Therefore, Sam will earn $18 if he charge Joe a simple interest rate of 4 percent.
Mr.gleasons math class lasts 40 minutes . Math class starts at 9:55 a.m. At what time does math class end
Answer:
10:35
Step-by-step explanation:
Just add 9.55 and 40 mins:
9.55+40=10:35a.m
Consider the function f (x) = (2x - a)(x - b)/5(x - b)(x - c). Determine where the following features of its graph
are located in terms of a, b, and/or c. Explain your reasoning for each situation.
a. the x-intercepts
b. the y-intercepts
c. any vertical asymptotes
d. any horizontal asymptotes
e. any “holes” in the graph
John wants to build a corral next to his barn. He has 300 feet of fencing to enclose three sides of his rectangular yard.
a. What is the largest area that can be enclosed?
b. What dimensions will result in the largest yard?
A cell phone plan charges $15$15 per month for 300300 text messages. The plan charges $0.08$0.08 for each additional text message. You use 6060 additional texts this month. What is your bill for the month?
The company charges 15 dollars per month for first 300 text messages and thereafter 0.08 dollars for any additional text message.
It says that we used additional 60 text messages (after fair usage of first 300 messages in the plan).
Our bill for this month would be sum of charges for 300 messages and charges for additional 60 messages.
Total bill = 15 dollars + 60x0.08 dollars = (15 + 4.80) dollars.
Total bill = 19.80 dollars.
Hence, our bill this month would be 19.80 dollars.
Explain how to find the degree of a polynomial.
Answer:
The Degree of a Polynomial is the largest of the degrees of the individual terms. Add the degrees of the variables of each term to decide what is the Degree of the Polynomial. Degree of term 1 is 2 (1+1= 2), Degree of term 2 is 6 (2+4 = 6), Degree of term 3 is 7 (5+2 = 7) 7 is the Degree of the Polynomial.
the hoop rotates through qan angle of 3/2 pie radian in 1 second how many revolutions does the hoop make in 1 minute
Megan predicts she will sell 42 glasses of lemonade this weekend. If Megan actually sold 58 glasses of lemonade, what was Megan's percent error? Round your answer to the nearest tenth of a percent.
Megan's percent error is approximately 27.6%.
Megan's percent error can be calculated by finding the absolute difference between her predicted value and actual value, dividing that by the actual value, and then multiplying by 100 to get a percentage.
Calculate the absolute difference:
|58 - 42| = 16.
Find the percent error:
(16 / 58) × 100 ≈ 27.6%.
please help asap!!! brainliest to best/right answer!!!!!!
What Is The Value Of n So That The Expression
X² + 12 x + n Is A Perfect Square Trinomial ?
( 1 Point )
A . 36
B . 36
C . 72
D . 144,
Given is the expression, x² + 12x + n
It says to find value of 'n' that converts it into a Perfect Square Trinomial.
A perfect square trinomial is a quadratic expression which has a single root with multiplicity 2. i.e. it is of the form :- x² + 2bx + b² = (x + b)²
On comparing it with the given expression, we get :-
So 2b = 12 and n = b²
b = 6
and so b² = 6² = 36.
⇒ n = 36
Hence, x² + 12x + 36 = (x + 6)² i.e. n = 36 is the final answer.
Bryan is paid $32 per hour and works 8 hours per day. He receives one paid day off for each 16 days that he works. What is his true hourly wage?
A. $40 per hour
B. $34 per hour
C. $32 per hour
D. $48 per hour
$40 per hour is his true hourly wage, option A is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Bryan works 8 hours per day, so he works 16 x 8 = 128 hours during the 16-day period.
His pay for the 16-day period is 16 x 8 x $32 = $5,120.
He receives one paid day off for each 16 days that he works, so he gets 16/1 = 16 paid days off for every 16 days worked.
Therefore, he actually works for 16 - 16/1 = 0 days during those 16 days.
His true hourly wage is his total pay divided by the actual number of hours he works:
True hourly wage = $5,120 / 128 hours = $40 per hour
Hence, $40 per hour is his true hourly wage, option A is correct.
To learn more on Equation:
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Help Please
Tamara needs to buy motor oil to fill the 3 empty cylindrical barrels at her oil service center each barrel is 7 ft deep and has a radius of 4 ft what is the volume of oil needed use 3.14 for the radius.
Answer:
1055.04 volume
Step-by-step explanation:
Extra points to the person who answer first
Mandana is ordering new tile for her kitchen floor. The area of the floor is 116.9 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
A. 131 square feet B. 138 square feet C. 133 square feet D. 141 square feet
In order to know what is the reasonable amount of tile for Mandana to order, you have to divide the choices with the area of the floor and deduct with 1 and multiply by 100. You have to assess if the answer you will get will fall between 15% and 20% which is the goal of Mandana.
a. 131/116.9 = (1.1206 – 1) x 100 = 12.06%, this does not fall between 15% and 20%
b. 138/116.9 = (1.1805 – 1) x 100 = 18.05%, this fall between 15% and 20%
c. 133/116.9 = (1.1377 – 1) x 100 = 13.77%, this does not fall between 15% and 20%
d. 141/116.9 = (1.2062 – 1) x 100 = 20.62%, this does not fall between 15% and 20%
Therefore, the reasonable amount of tile for Madana to order that is between 15% and 20% extra of the materials is 138 square feet.
Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(7, 12) . Triangle FGH has vertices at F(8, 4) , G(16, 4) , and H(12, 8) . Which sequence of transformations shows that triangle ABC and triangle FGH are congruent? Select each correct answer. Translate triangle ABC down 4 units, and then translate triangle ABC right 5 units. Translate triangle FGH down 4 units, and then translate triangle FGH left 5 units. Translate triangle FGH up 4 units, and then translate triangle FGH left 5 units. Translate triangle ABC down 4 units, and then translate triangle ABC left 5 units.
This the answer hope it helps!!
List the first five terms of each of the following geometric sequence.
A_1 = 10; r = 5
Jerry starts to save at age 35 for a vacation home that he wants to buy for his 50th birthday. He will contribute $300 each month to an account, which earns 1.7% interest, compounded annually. What is the future value of this investment, rounded to the nearest dollar, when Jerry is ready to purchase the vacation home? Answers: $61,960 $60,924 $5,077 $5,163 This is the only question I couldn't figure out , I just need help with it please. Thanks
HELP!!! Which of the following completes the statements of proof?
If dewayne answered 38 items correctly on a test, and received a score of 76%, How Many items were on the test?
The amplitude of y = -3sin(x) is _____.
Jenna is a professional typist.she can type 22,500 words in 5 hours of typing.in one hour how many words can she type?in one minute how many words can she types?
to compute how one currency compared to another you must use the
1. negotiated rate
2.exchange rate
3. agreement rate
or 4.bartered rate
im guessing its the exchange rate right ?,
The length of a rectangle is 2 ft longer than its width. if the perimeter of the rectangle is 32 ft , find its area.
Final answer:
To find the area of the rectangle, first solve for the width using the perimeter formula. The width is found to be 7 ft. Then calculate the length as w + 2, which is 9 ft. The area is the product of length and width, resulting in 63 square feet.
Explanation:
To solve this problem, we need to set up equations based on the information given about the rectangle's dimensions and the perimeter.
Step 1: Define Variables
Let w be the width of the rectangle in feet. Consequently, the length l will be w + 2 feet, since the length is 2 feet longer than the width.
Step 2: Perimeter Equation
The perimeter (P) of a rectangle is given by 2(l + w). We can use the perimeter given (32 ft) to create an equation: 2(w + w + 2) = 32.
Step 3: Solve for w
Combine like terms and divide both sides by 2 to find w:
4w + 4 = 32
w = 7 ft.
Step 4: Find l
The length is w + 2, which is 7 ft + 2 ft = 9 ft.
Step 5: Calculate Area
The area of a rectangle is l × w. Therefore, the area is 9 ft × 7 ft = 63 square feet.
The histogram below shows the age distribution of Elizabeth’s grandchildren.
The box-and-whisker plot below shows the same data.
Which of the following best explains why one graph appears skewed and one graph appears symmetric?
A. The intervals on the x-adis of the histogram are too large
B. The interval on the y-axis of the histogram is too small
C. The interval on the x-axis of the histogram is inconsistent
D. The interval in the box-and-whisker plot is too small
Answer:
Option: C is the correct answer.
C. The interval on the x-axis of the histogram is inconsistent
Step-by-step explanation:
Clearly after looking at the histogram we see that the interval on the x-axis are inconsistent.
Since, the intervals given are:
0-4 ( length of interval is 4)
5-9 ( length of interval is 4)
10-14 ( length of interval is 4)
But the intervals:
(15-19) is missing in the given histogram.
And then a interval of length 4 is given i.e. (20-24)
Hence, option: C is the correct answer.