round 26,891 to the nearest ten-thousands place
If 5x=3x-8, evaluate 4x+2
Laura sends an average of 27 text messages per month to each of f friends. Her cell phone provider charges her a flat rate of $3.50 per month and $0.04 per text message. The function t(f) gives the total number of text messages Laura sends each month to f friends, and g(t) gives the amount Laura is charged by her cell phone provider for t text messages.
find t(f) and g(t)
t(f) = 27*f
g(t) = $0.04*27*f
without the value for f (the number of friends) that is the farthest this can be solved.
Which data set is represented by the box plot below?
A. 10, 10, 10, 14, 23, 25, 26, 28, 30, 31, 34, 34, 44, 50, 50
B. 10, 10, 11, 12, 14, 18, 18, 18, 19, 20, 22, 26, 36, 42, 50
C. 10, 14, 18, 18, 19, 22, 31, 32, 33, 34, 40, 42, 43, 46, 50
D. 10, 14, 17, 24, 27, 32, 34, 34, 37, 38, 39, 39, 40, 43, 50
The shorter leg of a 30°- 60°- 90° right triangle is 12.5 inches. How long are the longer leg and the hypotenuse?
A manufacturing company has developed a cost model, C(X)= 0.15x^3 + 0.01x^2 +2x +120, where X is the number of item sold thousand. The sales price can be modeled by S(x) + 30- 0.01x. Therefore revenues are modeled by R(x)= x*S(x).
The company's profit, P(x) = R(x)-C(x) could be modeled by
1. 0.15x^3+ 0.02x^2- 28x+120
2. -0.15x^3-0.02x^2+28x-120
3. -0.15x^3+0.01x^2-2.01x-120
4. -0.15x^3+32x+120
Daniel is completing a home project. He needs 13 pieces of wood, each 112 feet long, to complete the project. How much wood does Daniel need to complete his home project? 823 ft
Answer:
its a
Step-by-step explanation:
Answer:
19 1/2 ft
Step-by-step explanation:
hope this helped
What is the gcf for 84
Simplify. 1/4 (-12+4/3)
The simplification of 1/4 (-12+4/3) first involves simplifying the operation in the parentheses which gives -10.67. Multiplying this by 1/4 we get -2.67.
Explanation:To simplify the expression 1/4 (-12+4/3), first simplify the operation in the parentheses.
-12 + 4/3 equals -12 + 1.33 (approx.), which simplifies to -10.67.
Then, multiply this result by 1/4. So, 1/4 of -10.67 equals -2.67 (approx.).
So, 1/4 (-12+4/3) simplifies to -2.67.
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A fisherman drops his net to a depth of -8 feet below the surface of the water. How far does he need to raise the net to bring it back to the surface of the water?
What is the solution of the equation f(x) = g(x) ?
A. x = -4
B. x = -2
C. x = 2
D. x = 4
1.5(−2.4+(−5.3)) please hurry
How do you find absolute extrema for a function?
f(x)= (8+x)/(8-x); Interval of [4,6]
Suppose Georgette buys 400 shares of Google at $250 a share. She sells them at $350 a share. What is her capital gain?
a. 400 times $100
b. 400 times $250
c. 400 times $350
d. 400 times $600
Answer: A
Step-by-step explanation:
a country's people consume 7.7 billion pounds of candy per year Express this quantity in terms of pounds per person per month. note that the population of the country is 303 million
A square with an area of 49 in2 is rotated to form a cylinder. What is the volume of the cylinder
Candidates for employment at a city fire department are required to take a written aptitude test. scores on this test are normally distributed with a mean of 280 and a standard deviation of 60. a random sample of nine test scores was taken.
The question asks for statistical analysis of aptitude test scores for firefighters, requiring an understanding of probability, statistics, normal distribution, and sample observations.
Explanation:The question concerns the statistical analysis of employment test scores, specifically discussing aptitude tests for a firefighter position. These tests are normally distributed with a given mean and standard deviation. Understanding this concept is an application of probability and statistics, which involves analyzing data to make inferences about a population based on sample observations. Knowledge of the normal distribution and its properties is key to answering questions about what proportion of test scores fall within certain intervals, or to calculate probabilistic outcomes such as percentile ranks or cutoff scores.
can someone help me please
to convert feet to miles you would use a ratio of feet over miles
so the answer would be B
Line F passes through the points (7, 13) and (9, -3). What is the slope of a line parallel to line F?
A) -8
B) -1/8
C) 1/8
D) 8
Describe the transformation of the graph from f(x) to g(x)
1) f(x)=2x+1
g(x)=2x+4
2) f(x)=x+3
g(x)=-x+1
3) f(x)=x^2
g(x)=(x-1)^2 +3
Transformations of the functions include a vertical shift, reflection and vertical shift, and a horizontal and vertical shift for three different pairs respectively. Specific (x, y) data pairs demonstrate these transformations on the graphs.
Explanation:We have three functions, f(x) and g(x), and we will describe the transformation from f(x) to g(x) for each:
Vertical Shift: For the functions f(x)=2x+1 and g(x)=2x+4, g(x) represents a vertical shift up by 3 units from f(x).Reflection and Vertical Shift: For f(x)=x+3 and g(x)=-x+1, g(x) is f(x) reflected across the x-axis (due to the negative sign before x) and then a vertical shift down by 2 units.Horizontal Shift and Vertical Shift: Lastly, from f(x)=x^2 to g(x)=(x-1)^2+3, the graph of g(x) is the graph of f(x) shifted to the right by 1 unit and then up by 3 units.The transformations can be sketched by plotting specific (x, y) data pairs and shifting the graphs accordingly.
What is 2 3/4 - 1/2? A. -2 1/4 B. 1 1/4 C. 2 1/4 D. 3
The department store where you work is having a sale. Every item is to be marked down 15% What will the sale price of a $152 coat be
multiply 152 by 15%
152 * 0.15 = 22.80 ( amount of discount
152 - 22.80 = 129.20 ( sale price)
what is 15% of 60 using a model to prove your answer
tiffany and Adele sold cookies and brownies to raise money for their school. They sold a total of 25 sweets. If each cookie costs 1$ and the brownies cost a 1.50 each and they made a total of 32$, how many did each sell?
By setting up a system of equations based on the total number of sweets sold and the total amount of money made, we find that Tiffany and Adele sold 11 cookies and 14 brownies.
To determine how many cookies and brownies Tiffany and Adele sold, we can set up a system of equations. Let's define the number of cookies sold as x and the number of brownies sold as y.
The first equation comes from the total number of sweets sold: x + y = 25. The second equation is based on the total amount of money made: 1*x + 1.50*y = 32.
Solving this system of equations will give us the number of each type of sweet sold.
To solve the system of equations, we can use substitution or elimination. I'll use substitution:
From the first equation, we can express y as y = 25 - x.Next, we substitute y in the second equation: 1*x + 1.50*(25 - x) = 32.Simplify and solve for x: X + 37.50 - 1.50x = 32, which simplifies further to 0.50x = 5.50. Divide both sides by 0.50 to find x = 11.Now that we have the value for x, substitute it back into the equation for y: y = 25 - 11 = 14.Tiffany and Adele sold 11 cookies and 14 brownies.
Solve using the standard algorithm 232 * 4 =
Which are zeros of the following polynomial?
6x 2 - 11x - 10 = 0
A x = 6, x = 10
B x = ; x =
C x = -2; x = 5
D x = ; x =
Answer:
x = -2/3; x = 5/2.
Step-by-step explanation:
6x 2 - 11x - 10 = 0
Use the 'ac' method:
6 * -10 = -60. We need 2 numbers whose product is -60 and whose sum is -11.
That would be -15 and +4. So we write:
6x^2 - 15x + 4x - 10 = 0 Factor by grouping:
3x(2x - 5) + 2(2x - 5) = 0
(3x + 2)(2x - 5) = 0
x = -2/3; x = 5/2.
a bicycle costs $198.99. If the sales tax is 8%, what will be the final cost of the bicycle including tax (in dollars)?
20 yards for $30.00
35 yards for $45.00
50 yards for $70.00
65 yards for $85.00
You work for a dress makers. Your boss sends you to the fabric store to buy blue fabric. She tells you to buy the best deal. What is the savings per unit between the best deal and worst deal?
A) $55.00
B) $27.00
C) 2 cents
D) 21 cents
Answer:
D) 21 cents
Step-by-step explanation:
Best deal: $45.00/35 = 1.29 each
Worst deal: $30.00/20 = 1.50 each
1.50 - 1.29 = 21 cents
Use what you know about compound statements to determine if "A piece of paper is an object that can be drawn on " would be considered a good definition. Explain.
A compound statement can be represented in symbolic logic as p ∧ q
The statement "A piece of paper is an object that can be drawn on" is not a compound statement
Reason:
A compound statement is a statement that consists of two simple statements combined into one statementThe given statement is "A piece of paper is an object that can be drawn on"
The given statement is made up of just one subject which is 'a piece of paper'. The statement also has just one predicate, which is 'is an object that can be drawn on'
Therefore;
The given statement is a simple statement and not a compound statementLearn more about compound statements here:
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An accepted relationship between stopping distance, d in feet, and the speed of a car, in mph, is d(v)=1.1v+0.06v^2 on dry, level concrete.
a) how many feet will it take a car traveling 45 mph to stop on dry, level concrete?
b) if an accident occurs 200 feet ahead, what is the maximum speed at which one can travel to avoid being involved in the accident?
The distance it will take a car traveling at 45 mph to stop on dry, level concrete is 171 feet. If an accident occurs 200 feet ahead, one can travel at a maximum speed of approximately 58.4 mph to avoid the accident. The answers were calculated using the given equation for stopping distance and the speed of the car.
Explanation:To address this question, we first need to make use of the equation d(v)=1.1v+0.06v²
First, let's answer part a): to find how many feet it will take a car traveling at 45 mph to stop, we simply substitute v with 45 in the equation, resulting in d = 1.1(45) + 0.06(45)² = 49.5 + 121.5 = 171 feet.
For part b), we need to solve the equation for v when d is equal to 200 feet. This is a quadratic equation (1.1v + 0.06v^2 = 200) and can be solved using the quadratic formula, or a method such as factoring or completing the square. Using the quadratic formula, we find that v ≈ 58.4 mph.
Therefore, if an accident happens 200 feet ahead, the maximum speed at which one can travel to avoid being involved in the accident is approximately 58.4 mph.
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a) At 45 mph, stopping distance is 171 feet. b) To avoid a 200-ft accident, max speed is 48.33 mph.
a) To find the stopping distance when the car is traveling at 45 mph, substitute v = 45 into the equation:
d(45) = 1.1(45) + 0.06(45)^2
= 49.5 + 121.5
= 171 feet
b) To find the maximum speed to avoid a 200 feet accident, set d(v) = 200 and solve for v:
1.1v + 0.06v^2 = 200
0.06v^2 + 1.1v - 200 = 0
Using the quadratic formula:
v = [-b ± √(b^2 - 4ac)] / (2a)
v = [-1.1 ± √(1.1^2 - 4(0.06)(-200))] / (2 * 0.06)
v ≈ [-1.1 ± √(1.21 + 48)] / 0.12
v ≈ [-1.1 ± √49.21] / 0.12
Now, solve for v:
v ≈ [-1.1 ± 7] / 0.12
This gives two solutions:
v ≈ (-1.1 + 7) / 0.12 ≈ 48.33 mph (Approx.)
v ≈ (-1.1 - 7) / 0.12 ≈ -63.33 mph (Not applicable)
Therefore, the maximum speed to avoid the accident is approximately 48.33 mph.