Answer:
[tex]x=\frac{5}{(10-a-b)}[/tex]
Step-by-step explanation:
4+3x-ax=9-7x+bx
take all variable terms at one side and all constant terms at one side,
3x+7x-bx-ax=9-4
10x-ax-bx=5
x(10-a-b)=5
[tex]x=\frac{5}{(10-a-b)}[/tex]
What is the y-value of sin(x) when x = -90°?
How do I do this ??
A scatter plot has a correlation coefficient of -0.159. What does this suggest about the relationship between the two variables?
shawna and amanda are selling pies for a school fundraiser. customers can buy cherry pies and pumpkin pies. shawna sold 1 cherry pie and 3 pumpkin pies for a total of $55. amanda sold 3 cherry pies and 3 pumpkin pies for a total of $69. what is the cost of each one cherry pie and one pumpkin pie?
PLEASE SHOW WORK
Tammy and Wyatt are sales associates at the same used car dealership. Their supervisor is planning to promote the employee with the best sales numbers, on average. The box plots below show their sales, in thousands of dollars, for the past 2 weeks:
box plot labeled Tammy with min at 19, Q1 at 21, median at 25.5, Q3 at 26.75, max at 27.75. Box plot labeled Wyatt with min at 18.5, Q1 at 20.5, median at 24, Q3 at 27.5, max at 28.25
Who should get the promotion, and why?
A) Wyatt should get the promotion. His data is more evenly distributed, so his sales are more consistent.
B) Wyatt should get the promotion because he had the highest sales in a single day.
C) Tammy should get the promotion because her lowest value is higher than Wyatt's lowest value.
D) Tammy should get the promotion. She has a higher median with a smaller IQR, so her sales are better on average.
Answer:
Tammy should get the promotion. She has a higher median with a smaller IQR, so her sales are better on average.
If i walk 4 miles an hour how long will it take to walk 1 mile
The ratio of height between Joey and his girlfriend is 8:7. If Joey is 72 inches tall, how tall is his girlfriend in inches
Find 3 consecutive odd numbers where the product of the smaller two numbers is 46 less than the square of the largest number.
Ryan wants to use the Fermi process to estimate the number of basketballs that would fill a gymnasium. As part of the process, he needs to estimate the volume of a basketball. The diameter of a basketball is about 10 in.
Which estimate best approximates the volume of a basketball?
5×10^1 in³Find an explicit formula for the sequence 30\,,\,150\,,\,750\,,\,3750,...30,150,750,3750,...30, space, comma, space, 150, space, comma, space, 750, space, comma, space, 3750, comma, point, point, point.
Answer:750+3750=4,500
Step-by-step explanation:
Solve the equation.
left parenthesis x plus 4 right parenthesis left parenthesis x minus 9 right parenthesis equals 4 x
x =
nothing
(Use a comma to separate answers as needed.)
To solve the equation (x + 4)(x - 9) = 4x, expand and rearrange the terms. Then solve the quadratic equation by factoring or using the quadratic formula.
Explanation:To solve the equation (x + 4)(x - 9) = 4x, we can expand the left side of the equation and then rearrange the terms:
x^2 - 5x - 36 = 4x
Next, we can move all the terms to one side of the equation:
x^2 - 9x - 36 = 0
Finally, we can solve this quadratic equation by factoring or using the quadratic formula to find the values of x.
The volume of two spheres are 327\pi in^{3} and 8829\pi in^{3}
What is the ratio of their radii?
A circle is centered at (−8, −13) and has a radius of 13.
What is the equation of the circle?
Enter the equation in the box using lower case variables x and y.
An equation of a function y(t) is shown. y(t)=−t2+14t−40 Which of the following statements are true about the graph of y(t) for 6≤t≤8 and WHY? a. The value of y(t) increases over the interval 6≤t≤7. b. The value of y(t) increases over the interval 7≤t≤8. c. The average rate of change over the interval 6≤t≤8 is 0. d. The value of y(t) is constant over the interval 6≤t≤8. e. The average rate of changer over the interval 6≤t≤7 is the same as the average rate of change over the interval 7≤t≤8. Make sure you use complete sentences and capitalize!
HELP!!! - The lunch special at a diner is a bowl of soup with either a salad or a sandwich. The diner offers chicken noodle, potato, or lentil soup as part of the special. Which statement best describes how this tree diagram represents the number of different ways the lunch special can be ordered?
A: The diagram is flawed because it should show there are four different ways the special can be ordered.
B: The diagram is flawed because it should show there are five different ways the special can be ordered.
C: The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
D: The diagram models the situation correctly, and it shows there are nine different ways the special can be ordered.
The correct answer is C) The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
Answer:
C: The diagram models the situation correctly, and it shows there are six different ways the special can be ordered.
Step-by-step explanation:
Find the volume of a right prism with height h=10 cm, if: a The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm. Help me!!!
To find its Volume of Right prism we multiply the base of the triangle times the height and divide that by 2.Then, multiply the area times the length, or the depth, of the prism to find the volume.
Area of the equilateral triangle = [tex]\frac{1}{2}x4x3.5.[/tex]
Area of triangle = 7 square cm.
Volume of the right prism = Area of triangle x Height of prism = 7x10 =70 cubic cm.
Volume of right prism = 70 cubic cm.
What is the excluded value of
-2x/17
a. x=0
b. x=2
c. x=17
d. no excluded values
Jack's father let jack use a rectangular section of the back yard that had dimensions of 10 feet by 12 feet for his garden. he wanted to put a fence around the outside of the garden. how long should the piece of fencing he needs to buy be?
A rectangular garden measures 40 yards by 35 yards. a lawn of uniform width surrounds the garden and has an area of 316 square yards. find the width of the lawn that surrounds the garden.
The width of the lawn surrounding the garden is 2 yards.
Let's denote the width of the lawn as "w" yards.
The dimensions of the garden are 40 yards by 35 yards. Including the lawn, the dimensions become:
Length: 40 + 2w yards
Width: 35 + 2w yards
The area of the rectangle including the garden and the lawn is:
(40 + 2w) × (35 + 2w) square yards
The area of the garden itself is:
40 × 35 = 1400 square yards
The area of the lawn alone is:
Total area - Area of the garden = 316 square yards
Therefore:
(40 + 2w) × (35 + 2w) - 1400 = 316
Expand the left side of the equation:
= (40 + 2w)(35 + 2w)
= 40 × 35 + 40 × 2w + 35 × 2w + 2w × 2w
= 1400 + 80w + 70w + 4w²
= 1400 + 150w + 4w²
Set up the equation:
= 1400 + 150w + 4w² - 1400 = 316
= 150w + 4w² = 316
Rearranging the equation:
4w² + 150w - 316 = 0
Solve this quadratic equation using the quadratic formula:
w = (-b ± √(b² - 4ac)) / 2a
Here, a = 4, b = 150, and c = -316
Calculate the discriminant:
= b² - 4ac
= 150² - 4 × 4 × (-316)
= 22500 + 5056
= 27556
√27556 ≈ 166
Therefore:
w = (-150 ± 166) / 8
This gives two potential solutions:
w = (16 / 8) = 2
w = (-316 / 8) (not valid as width cannot be negative)
how many real solutions does y = (-x + 4)^2 have?
Find the quotient. 6^8/6^6
Ross and 5 of his friends are going kayaking. They rented 6 kayaks for 420. then they brought food for all 6 people , which costs 144. if all 6 people shared the cost 144. if all 6 people shared the cost of the trip equally, how much did each person pay?
A. 70
B.76
C.88
D.94
please help me
Answer:
its $95
Step-by-step explanation:
i got it right
A package of cookies contains 6 cookies. Each package of cookies costs $1.49.
A function, f(x), is written to represent the cost of purchasing x packages of cookies.
What is the practical domain for the function f(x)?
A: all positive integers
B: all real numbers
C: all whole numbers that are multiples of 6
D: all whole numbers
Given are 6 cookies in a package.
Given that the cost of a package = 1.49 dollars.
Let's assume we purchase 'x' numbers of packages.
So, total cost of 'x' packages = '1.49x' dollars.
f(x) is the function that represents the cost of 'x' packages, i.e. f(x) = 1.49x
Since the number of packages can not be negative or can't be decimal numbers, so 'x' should be positive integral values.
So, the practical domain of f(x) would be "positive integral values".
Hence, option A is correct, i.e. "all positive integers".
What will it cost to tile a rectangular floor measuring 231 feet by by 37 feet if the tile costs $ 14 per square foot?
The total cost to tile a rectangular floor measuring 231 feet by 37 feet, with tile costing $14 per square foot, will be $119,658.
Explanation:To find the cost of tiling a rectangular floor, first, calculate the area of the floor which is the length times the width. In this case, the rectangle is 231 feet by 37 feet so its area is 231 x 37 = 8,547 square feet.
With the tile costing $14 per square foot, the total cost will be the area of the floor times the cost per square foot. This can be calculated by multiplying 8,547 square feet x $14 per square foot = $119,658.
Therefore, the total cost to tile the rectangular floor will be $119,658.
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What is the input to a trigonometric function?
a ratio
the x position of a point on the circle
a central angle of a circle
the y position of a point on the circle
Answer: A central angle of a circle
Step-by-step explanation:
The trigonometric functions are also known as circular functions.
The two fundamental trigonometric functions are defined as the coordinates of a any point A travelling around on the unit circle of radius 1 .
The input variable in trigonometric functions is the central angle of the circle 'x' such that we get sin x and cos x which give the x and y coordinates of A.
Hence, the input to a trigonometric function is a central angle of a circle.
What is 40.15 divided by 7.3, written as a decimal?
Final answer:
To calculate 40.15 divided by 7.3, we can use long division. The final quotient is 5.5, and there is no remainder. Therefore, 40.15 divided by 7.3 written as a decimal is 5.5.
Explanation:
To calculate 40.15 divided by 7.3, we can use long division.
First, we write the division problem with 40.15 as the dividend and 7.3 as the divisor:
5.5
________
7.3 | 40.15
We start by dividing 40.15 by 7.3. The quotient is 5.5.
Next, we subtract 5.5 multiplied by 7.3 from 40.15:
5.5
________
7.3 | 40.15
- 36.5
________
37.65
Since the remainder, 37.65, is greater than the divisor, 7.3, we can continue dividing.
We bring down the next digit from the dividend, which is 0, and divide it by 7.3:
5.5
________
7.3 | 40.15
- 36.5
________
4.15
3.65
We repeat the process of dividing and subtracting until the remainder is less than the divisor:
5.5
________
7.3 | 40.15
- 36.5
________
4.15
3.65
5.5
0
The final quotient is 5.5, and there is no remainder. Therefore, 40.15 divided by 7.3 written as a decimal is 5.5.
In an origami class, the instructor tells the students to cut a square that has an area of 24 square inches. Kevin cuts a square with a side length of 4.80 inches. Which statement is true?
Answer:
The side length of the square Kevin cuts is slightly less than the length the instructor required
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A fish tank in the shape of a rectangular prism has these dimensions: length = 20 inches width = 10 inches height = 12 inches What is the volume of water in the tank when it is 45 full?
The volume of water in the fish tank when it is 45% full is 1080 cubic inches.
Explanation:To find the volume of water in the tank when it is 45% full, we first need to calculate the volume of the tank.
The formula for the volume of a rectangular prism is length × width × height.
Given that the length is 20 inches, the width is 10 inches, and the height is 12 inches, we can substitute these values into the formula: 20 × 10 × 12 = 2400 cubic inches.
Next, we need to find 45% of this volume. To do this, we multiply the volume by 0.45: 2400 × 0.45 = 1080 cubic inches.
Therefore, the volume of water in the tank when it is 45% full is 1080 cubic inches.
Given the two expressions shown below:
A. \sqrt{3} +\sqrt{2}
B. \sqrt{3} +\sqrt{6}
Which statement best describes the two expressions?
Both are rational.
Both are irrational.
A is rational, but B is irrational.
A is irrational, but B is rational.
LAST TIME I POST THIS QUESTION
Solve the triangle: α = 58°, a = 9, b = 15.