Answer:
4
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
JN* NK = LN * NM
3x = 2*6
3x = 12
Divide by 3
3x/3 =12/3
x =4
Q1. An industry analyst wants to compare the average salaries of two firms, both to each other and to the industry. Firm A's average salary is 93% of the industry average, Firm B's average salary is $58,000, and the industry average salary is 96% of Firm B's average salary. a. Determine the industry average salary. b. Determine Firm A's average salary. c. Express Firm B's average salary as a percentage of Firm A's average salary. Round the percentage to two decimals.
a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.
a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:
Industry Average Salary = 96% of Firm B's Average Salary
= 0.96 * $58,000
= $55,680
b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:
Firm A's Average Salary = 93% of Industry Average Salary
= 0.93 * $55,680
= $51,718.40
c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:
Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100
= ($58,000 / $51,718.40) * 100
≈ 112.27%
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PLEASE HELP I BEG OF YOU!???
Answer:
24.9
first to find the price of the DVD's you multiply 5 x 4.40 which is 22, then you add the 2.90 10 get 24.90.
btw plz put me as brainliest.
Solve the equation. -5(-4+2n)=-10(n-2)
Answer:
0 = 0 means that there are infinite solutions.
Step-by-step explanation:
Equation is -5(-4+2n)=-10(n-2)
1. Distribute the -5 and -10
20 -10n = -10n + 20
2. Subtract 20 from one side to the other to get only 1 variable on 1 side.
-10n = -10n
3. divide -10 to separate the variable from the constant.
n = n
This means there are infinite solutions.
You randomly select a number from the sample space (5. 7, 9, 11, 13, 15, 17). Find each theoretical probability,
2. P(less than 13)
3. P(odd)
4. P(multiple of 5)
Holly ate 3 brownies from a pan with nine pieces what two equivalent fractions describe how much she ate?
What is the volume of this cylinder? 40yd 11yd
Use ≈ 3.14 and round your answer to the nearest hundredth.
Volume of the cylinder is 15197.60(to the nearest hundredth).
What is cylinder?
In mathematics, Cylinder is the basic 3d shapes, which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.
Given that the radius of the cylinder is 11yd.
and the height of the cylinder is 40yd.
Formula for the volume of cylinder is π × r² × h where π=3.14, r= radius and h= height.
Putting the values we get,
Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.
= 15197.6
Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).
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How tall is a pole if a 40 ft guy wire reaches from the top of that pole
to a point on the ground 19 ft from the bottom of the pole?
Determine the domain of which the following function is increasing
Answer:
domain : - ∞ < x < 1
Step-by-step explanation:
the function is increasing on the upward part of the curve. that is
from negative infinity to the vertex at (1, 3 )
domain : - ∞ < x < 1
Arithmetic Mean of 128,144,146,143,136,142,138,120,140,152,144,140,150,142,154
Answer: 141.26666666667
Step-by-step explanation:
What is the slope of the line that contains the points (8, 4) and (−4, 8)?
3
−3
one third
negative one third
Answer: negative one third
Answer:
-1/3
Explanation:
There's a formula that I'll use to find the slope - it's called the slope formula.
\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)
Plug in the data:
\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)
Simplify:
\(\sf{m=-\dfrac{4}{12}}\)
\(\sf{m=-\dfrac{1}{3}}\)
Hence, the slope is negative one-third.
One of the legs of a right triangle is 9 cm. If the area of the triangle is 225 cm², then the length of the other leg is
if you tell correctly I will give brainlist
Given:
One of the legs of a right triangle is 9 cm.
The area of the triangle is 225 cm².
To find:
The length of the other leg.
Solution:
The area of a triangle is
\(Area=\dfrac{1}{2}\times Base\times Height\)
The area of a right triangle is
\(Area=\dfrac{1}{2}\times (leg_1)\times (leg_2)\)
Let x be the length of other leg.
\(225=\dfrac{1}{2}\times (9)\times (x)\)
\(2\times 225=9x\)
\(\dfrac{450}{9}=x\)
\(50=x\)
Therefore, the length of the other leg is 50 cm.
Please I need help! Thank you
Step-by-step explanation:
everything can be found in the picture
Answer:
h = \(\frac{K^2}{17}\)
Step-by-step explanation:
Given
K = \(\sqrt{17h}\) ( square both sides )
K² = 17h ( divide both sides by 17 )
\(\frac{K^2}{17}\) = h
3
\(3 \sqrt{81} \)
what's the answer
Answer will be 27.
Given,
3√81
Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.
For example, squares of
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Square roots,
√100 = 10
√81 = 9
√64 = 8
√49 = 7
√36 = 6
√25 = 5
√16 = 4
√9 = 3
√4 = 2
√1 = 1
Now ,
3√81 = 3× 9
= 27.
Thus the value is 27.
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} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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Three times the number m plus five equals fourteen.
Answer:3
Step-by-step explanation:
3m+5=14
-5
3m=9
m=3
Alice and Dakota are packing gift boxes. Alice has already packed 21 additional boxes and is packing 8 additional boxes per hour. Dakota has already packed 28 additional boxes and is packing 6 additional boxes per hour. Which function can Alice and Dakota use to determine the total number of boxes they have packed after x hours? How many boxes will they have packed after 4 hours
If the sample sizes aren1andn2, the simplest way to compute the degrees of freedom is to use the smaller ofn1andn2+n11and−n21+n1n2and−n1n2−n11and−n21
If the sample sizes are n1 and n2, the simplest way to compute the degrees of freedom is to use the smaller n1-1 and n2-1. these are two-sample hypothesis testing.
Degrees of freedom
The number of independent data points used to calculate an estimate is referred to as the degree of freedom of the estimate. It's not exactly the same as the sample's sample size. You must deduct 1 from the total number of items in order to obtain the degree of freedom (df) for the estimate. Imagine you were looking for the average weight loss for a low-carb diet. One option is to utilize 100 persons with df = 99 or 4 people with 3 degrees of freedom (4 - 1 = 3).
Two Samples: Degrees of Freedom
You must take into account two "n"s if you have two samples and wish to find a parameter like the mean (sample 1 and sample 2). In the scenario, degrees of freedom are :
Degrees of Freedom (Two Samples): (N1 + N2) – 2
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write in the simplest form 15:45
Answer:
1:3
Step-by-step explanation:
:))
1:3
15 / 15 = 1
45 / 15 = 3
So its 1:3
Which students ran faster than Amy?
Students that ran faster than Amy are Chris and Ethan.
Speed is the ratio between distance and time. The formula for speed
v = d ÷ t
d = distances (miles)t = time (hours)v = velocity (mph)Amy's speed
d = 2 milest = 36 minutes = 36/60 hours = 0.6 hoursv = d ÷ tBrian's speed
From the time versus distance graph from 0 miles to 2 miles it can be seen that the time required is 40 minutes.d = 2 milest = 40 min = 40/60 h = 2/3 hv = d ÷ tChris's speed
The equation y = 3/42 xEthan's speed
From the table, we can use any data.Pick data #2d = 3 milest = 33 min = 33/60 h = 11/20 hv = d ÷ tLearn more about speed here: https://brainly.com/question/24872445
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Please help
Find the missing side length
Answer:
5. x = 3, y = 3
Step-by-step explanation:
5. cos45 = y/(3√2)
y = 3
sin45 = x/(3√2)
x = 3
help me please
dont even need a full explanation
A bright blue parallelogram is painted on a playground. It has a height of 16 feet and a length of a 23 feet. f one gallons of paint covers 175 square, how many gallons of paint are needed?
Answer:
Step-by-step explanation:
To find the area of the parallelogram, we can use the formula:
A = base x height
where the base is the length of the parallelogram, and the height is the height of the parallelogram.
In this case, the length of the parallelogram is 23 feet and the height is 16 feet. So, the area of the parallelogram is:
A = 23 feet x 16 feet = 368 square feet
We also know that one gallon of paint can cover 175 square feet. To find how many gallons of paint are needed to cover the parallelogram, we can divide the area of the parallelogram by the area that one gallon of paint can cover:
Gallons of paint = Area of parallelogram / Area covered by one gallon of paint
Gallons of paint = 368 square feet / 175 square feet per gallon
Gallons of paint = 2.1 gallons (rounded to one decimal place)
Therefore, we would need approximately 2.1 gallons of paint to cover the bright blue parallelogram on the playground.
Domain answers:
-The set of all real numbers from 0-60
-The set of all real numbers from 500-2000
-The set of all real numbers from 25-500
-{0,1,2,3...,500}
-{25,50,75,100,...}
-{60,61,62,63,...,2000}
Range answers:
The set of all real numbers from 0-60
-The set of all real numbers from 500-2000
-The set of all real numbers from 25-500
-{0,1,2,3...,500}
-{25,50,75,100,...}
-{60,61,62,63,...,2000}
Domain= "number of minutes water has been added" and the set of all real numbers would be from 0-60
Range= "amount of water in the pond(in liters) and the set of all real numbers from 500-2000
I hope this helps
I'm terribly sorry if this is wrong
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
Timothy bought a house for $360,000. He paid 20% down, and agreed to pay $1,375.69 per month for 30 years. His payment of $1,375.69 does not include property tax and insurance. How much interest will Timothy pay in 30 years?
INTREST-300000
Step-by-step explanation:
36000000
If the bottom row as a result of synthetic division is 3, 0, 4, 0, 1. then the quotient is what?
Answer:
\(a. \:\:3x^3 + 4x\:\:R1\)
Step by step explanation:
Hope it helps you in your learning process.
Have a great day ahead.
The quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.
The option representing this is, a. 3x³ + 4x R1.
What is synthetic division?Synthetic division is a short method of dividing a polynomial p(x) by another polynomial (x - c), to get the quotient and remainder.
The last row represents the quotient and remainder, the last digit being the remainder, and the others being the quotient multiplied by leading powers of x, starting from x⁰, starting from the second last term of the last row.
How to solve the question?In the question, we are given the last row of a synthetic division as 3, 0, 4, 0, 1, and we are asked to find the quotient of the division.
The last number, 1 represents the remainder and can be written as R1.
Now we move from the back to the front and multiply every number with the leading power of x, starting from x⁰.
0 gives 0 * x⁰ = 04 gives 4 * x¹ = 4x0 gives 0 * x² = 03 gives 3 * x³ = 3x³.Therefore, the quotient and remainder for the last row of the synthetic division 3, 0, 4, 0, 1 are 3x³ + 4x, and 1 respectively.
The option representing this is, a. 3x³ + 4x R1.
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Solve the equation: 4 = 32x
Answer:
x=1/8
Step-by-step explanation:
Answer:
x=1/8
Step-by-step explanation:
you have 3 gallons of brown stock you need 6 cups to make one serving to make french onion soup. how many servings can you make
You can make 8 servings with 3 gallons of brown stock
Convert 3 gallons to cups
1 gallon = 16 cups
3 gallons = 48 cups
Number of servings that can be made with 6 cups = 1
Number of servings that can be made with 48 cups = 48/6
Number of servings that can be made with 48 cups = 8
You can make 8 servings with 3 gallons of brown stock
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We are to determine how many servings can be made with 3 gallons.
The total number of servings you can make is 8 servings
Total quantity of brown stock for serving = 3 gallons
Quantity per serving = 6 cups
convert gallon to cups
1 gallon = 16 cups
3 gallons = 48 cups
Total quantity of brown stock for serving = 48 cups
Number of servings = Total quantity of brown stock for serving / Quantity per serving
= 48 cups / 6 cups
= 8 servings
Therefore, the total number of servings you can make with 3 gallons is 8 servings
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You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
look at attachment!!!!
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.