Answer:
62.5 gallons
Step-by-step explanation:
Divide by 8
Find the median for the following set of data: 41, 99, 37, 52, 39, 17, 95 a. 44 c. 53 b. 37 d. 41
Answer:
41 (d)
Step-by-step explanation:
Find two fractions that are not equivalent to 2/4 but that are equivalent to each other
Answer:
1/5 and 2/10
Step-by-step explanation:
(6c)^3
---------
c
please help
Answer:
216c^3
Step-by-step explanation
Solve the proportion. Show all work. 2x/3=20/5
Answer:
2x/3 = 4
2x = 4*3
2x = 12
x = 12/2
x = 6
Hope it helps...
Can someone help me on this question plz
Karen measured 20 cm between two points on the map below.
What is the actual distance between the two points at the campground?
A:150 miles
B: 25
C: 50
D:100
Answer:
D:100
Step-by-step explanation:
20x5 cm.
Actual distance between two points is 100 miles
Given that;Distance between two points = 20 cm
Scale factor = 1cm = 5 mile
Find:Actual distance between two points
Computation:Actual distance between two points = 20 × 5
Actual distance between two points = 100 miles
So, Option "D" is the correct answer to the following question.
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Washington Park is a grassy area bordered by three streets as pictured below. A park is shaped like a triangle. The base is 400 yards and the height if 500 yards. What is the area of the park to the nearest square yard?
Answer:
a, it should be 10000
Step-by-step explanation:
400 x 500 is 200000 and the formula is
A=(b)(h)1/2 so half of 200000 is 100000.
Answer:
A
Step-by-step explanation:
Which data set below has the weakest correlation?
Answer:
C.
Step-by-step explanation:
I just got it right
What is the range of f(x) = 3/4x -4
{y | y > –4}
{y \ y > 3/4}
{y | y < – 4}
{y | y < 3/4}
Answer:
The range is the resulting y-values we get after substituting all the possible x-values.
For the given function : [tex]f(x) = \frac{3}{4x} -4[/tex]
See the attached figure.
The zeros of the denominator at x = 0
The domain is: (-∞,0)∪(0,∞)
The range of the function is the domain of the inverse function of f(x)
y = 3/(4x) - 4
y + 4 = 3/(4x)
4x = 3/(y+4)
[tex]x=\frac{3}{4(y+4)}[/tex]
The zeros of the inverse function:
4(y+4) = 0
y + 4 = 0
y = -4
∴ The range is (-∞,-4)∪(-4,∞)
So, the answer is {y | y > –4} ∪ {y | y < – 4}
=========================================
Note: If the given function is : [tex]f(x) = \frac{3}{4} x-4[/tex]
It will be first degree polynomial function.
Both of the domain and the range = all real numbers R
Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
0.15
3
1
-3
Answer:
The minimum value for [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].
Step-by-step explanation:
Given function is [tex]f(x) = 0.15(x + 1)^2 - 3[/tex]
We need to find the maximum value or the minimum value for the function.
Now, differentiate [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] w.r.t [tex]x[/tex].
[tex]f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\[/tex]
[tex]f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)[/tex]
Now, we will equate [tex]f'(x)=0[/tex] to find critical point.
[tex]0.3(x+1)=0\\x=-1[/tex]
Plug this critical point in to the function [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] we get,
[tex]f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3[/tex]
Also, [tex]f''(x)=0.3[/tex] which is positive, We have minimum value.
So, the minimum value for [tex]f(x) = 0.15(x + 1)^2 - 3[/tex] is [tex]-3[/tex].
6ab-8ab how do you simplify this monomials
To simplify the monomials 6ab-8ab, subtract the coefficients of the like terms and combine the result with the common variables, resulting in -2ab.
The question asks how to simplify the monomials 6ab-8ab. This simplification process involves combining like terms. Both terms have the same variables (a and b), so they are like terms and can be combined by subtracting their coefficients.
Here are the steps to simplify:
Identify the coefficients of the like terms: 6 and -8.
Subtract the coefficients: 6 - 8 = -2.
Combine the result with the common variables: -2ab.
Therefore, the simplified form of 6ab-8ab is -2ab.
You have 125% of the tickets required for a souvenir. What fraction of the required tickets do you have? Do you need more tickets for the souvenir?
Explain. Write your answer in simplest form.
PLEASEEEE HELP!!
Answer:
The answer is that it requires 4/5 of your total amount of tickets
Step-by-step explanation:
You break it down originally into fourths, 25x4 = 100% or 100. 125% would be 125 tickets since its by percentage. you'd have a remaining 25 tickets after purchase
Answer:
It is 4/5
Step-by-step explanation:
dont worry
15 POINTS
question 9
A student finds the slope of the line between (14, 1) and (18, 17). She writes 1 - 17 over 18 - 14. What mistake did she make?
a.
She should have added the values, not subtracted them.
b.
She did not keep the order of the points the same in the numerator and the denominator.
c.
She mixed up the x- and y-values.
d.
She used y-values where she should have used x-values.
Answer:
D
14,1
x1 y1 18,17
x2 y2
17-1 =16/12
18-4
Answer:
b.
She did not keep the order of the points the same in the numerator and the denominator.
Step-by-step explanation:
-x3+3x2+5x+1
Evaluate when x=-12
Can someone help me I don’t understand this :(
Answer:
2102
Step-by-step explanation:
Evaluate -x³+3x²+5x+1 when x = -12
simply substitue x = -12 into the equation
-x³+3x²+5x+1 when x = -12
= - (-12)³ + 3(-12)² + 5(-12)+1
= -(-1728) + 3(144) - 60 + 1
= 1728 + 432 - 60 +1
= 2102
To evaluate the polynomial -x^3 + 3x^2 + 5x + 1 for x = -12, we substitute -12 for x and simplify, resulting in a final value of 2101.
The student is asking to evaluate the polynomial -x^3 + 3x^2 + 5x + 1 when x = -12. To solve this, we substitute -12 for x in the polynomial and simplify:
Substitute x with -12: -(-12)^3 + 3(-12)^2 + 5(-12) + 1Simplify the equation: -( -12 x -12 x -12) + 3( -12 x -12) + 5( -12) + 1Calculate the powers: -(-1728) + 3(144) - 60 + 1Multiply and add: 1728 + 432 - 60 + 1Combine like terms: 1728 + 432 - 60 + 1 = 2101Therefore, when x = -12, the polynomial evaluates to 2101.
Adrian made the cakes shown below for a 3 cakes at the party Adrian will serve each guest 1/8 of a cake what is the greatest number of guests Adrian can serve?
Answer:
24 Guests
Step-by-step explanation:
3 x 8 = 24.
Answer:
since each guest is 1/8 of the cake and he has 3 cake . So the great number of the guest is 24....
Step-by-step explanation:
Should be 24 is the answer...
I hope this will help...Have a nice day...
Ricardo is building a new garden and is buying soil to fill it up. he buys 4 kilograms of soil for $10.00.
what is the unit rate for the soil in kilograms?
Need help ASAP please and thank you
Answer:
X=4
Step-by-step explanation:
The angle CA equals 4. The angle AB are equal to the angle CA therfore, the outcome of x=4.
Quadrilateral TRPK ~ Quadrilateral EWMN Which statements are correct? Select all that apply. Question 8 options:
TK/NM = RP/EW
∠R≅∠W
∠P≅∠N
RP/WM = TR/EW = TK/EN
Mo is thinking of a number. Eleven more than one third of the number is -1. Find mo’s number.
Answer:
n = -36
Step-by-step explanation:
Let the number be n.
Then n/3 + 11 = -1
Solve for n/3, and then for n:
Subtract 11 from both sides, obtaining
n/3 = -12
Multiplying both sides by 3 yields:
n = -36
The required number that Mo thought of is -36.
A number is determined that Mo is thinking of a number. 11 more than 1/3 of the number is -1.
What is an algorithm?in mathematics it is used to decode the statement into mathematical expression to evaluate problems.
Let the number be x and this number is 11 more than 1/3 of that number equal to -1.
⇒ 1/3(x)+11= -1
1/3(x) = -12
x = -36
Thus, the required number that Mo thought of is -36.
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A nutrition label states the item contains 16% of the daily recommended carbohydrates. Rewrite this percent as a fraction in the simplest form.
Answer: 4/25
Step-by-step explanation:
16% = 16/100 both can be divided by 4 so 16/4= 4, and 100/4=25. So 16%=4/25
Answer:
4 / 25
Step-by-step explanation:
The question is simplying request you simplify 16/100 to it's lowest form.
From the question,
The Carbohydrates recommended contents = 16/100
To Simplify this to the lowest form, we die de through by 4.
= (16/4) / (100/4)
= 4 / 25
f(x) = x − 8, g(x) = x2 Find (f + g)(x)
[tex](f+g)(x) \text{ is equal to } x^2+x-8[/tex]
Solution:
Given that the functions are:
[tex]f(x) = x-8\\\\g(x)=x^2[/tex]
We have to find the value of (f + g)(x)
By operations on functions, we know that,
(f + g)(x) = f (x) + g(x)
Thus (f + g)(x) can be found by adding both the given functions
[tex](f + g)(x) = f (x) + g(x)\\\\(f + g)(x) = x - 8 + x^2\\\\(f + g)(x) = x^2+x-8[/tex]
Thus (f + g)(x) is equal to [tex]x^2+x-8[/tex]
A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
(Graph Shoen in picture above)
Data collection is the process of gathering and measuring information on variables of interest. strawberry yoghurt makes up less than 1/3 of their sales
What is data collection?
Data collection is the process of gathering and measuring information on variables of interest, in an established systematic fashion that enables one to answer stated research questions, test hypotheses, and evaluate outcomes.
The data collection component of research is common to all fields of study including physical and social sciences, humanities, business, etc. While methods vary by discipline, the emphasis on ensuring accurate and honest collection remains the same.
In the first graph, the strawberry yogurt is a little larger than 1/4. Second, the yogurt increases instead of decreases n the first six months. And third, the store actually sold a little less than 3,000 yogurts in November than in August.
Hence strawberry yoghurt makes up less than 1/3 of their sales
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The question deals with interpreting graphical data from a frozen yogurt store, analyzing statistical data to determine independence of variables, and understanding sales and cost curves in relation to profit in a business case.
Explanation:The student is asking about interpreting graphs related to customer purchase behavior from a frozen yogurt store and analyzing statistical data in various situations. For instance, when analyzing whether the geographic location is independent of favorite ice cream flavors or discussing the relationship between store temperature and energy consumption, understanding and interpreting graphical data is crucial. In terms of sales and costs for a raspberry farm, understanding the graph where the total cost curve intersects the vertical axis indicates fixed costs, and the upward slope shows variable costs in relation to revenue, which identifies profit maximization points. These analyses are part of mathematical statistics, which is used to making informed decisions in a business context.
Cruz is training to compete in a triathlon. He left his house at 6:00 and ran until 7:30. Then he rode his bike until 9:45. He covered a total distance of 51 miles. His speed when biking was 1.6 times his speed when running. Find Cruz’s biking and running speeds.
The speed in running is 10 mph and speed in biking is 16 mph
Solution:
Given that, Cruz is training to compete in a triathlon
He left his house at 6:00 and ran until 7:30
Time taken for running = 1.5 hours
Then he rode his bike until 9:45
7: 30 to 9: 45 is biking time
Time taken for biking = 2.25 hours
He covered a total distance of 51 miles
Total distance = 51 miles
Let "x" be the speed in running
His speed when biking was 1.6 times his speed when running
Speed in biking = 1.6x
Total distance = distance in running + distance in biking
The distance is given by formula:
[tex]distance = speed \times time[/tex]
Therefore,
[tex]Total\ Distance = x \times 1.5 + 1.6x \times 2.25\\\\51 = 1.5x + 3.6x\\\\5.1x = 51\\\\x = 10[/tex]
Thus speed in running is 10 miles per hour
Speed in biking = 1.6x = 1.6(10) = 16
Thus speed in running is 10 mph and speed in biking is 16 mph
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle:
A(-7,-5), B(-7, 6), C(-4,6), and D(-4,-5).
Given these coordinates, what is the length of side CD of this rectangle?
The length of side CD is 11.
To find the length of side CD, we can use the distance formula, which is as follows:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of the two points are (-4, -5) and (-4, 6). Substituting these coordinates into the distance formula, we get:
distance = √(((-4) - (-4))^2 + ((6) - (-5))^2)
distance = √(0^2 + 11^2)
distance = √121
distance = 11
Therefore, the length of side CD is 11.
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solve the inequality. (x-3)(x-4)/(x-5)(x+6)^2>0
Answer:
C
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Consider the numerator;
When (x - 3)(x - 4) = 0
x = 3 or x = 4.
When x > 3 and < 4 (x - 3)(x- 4) will be negative and the denominator (x - 5(x + 6)^2 will be negative so the function will be positive.
So 3 < x < 4 is a part of the answer.
When x > 5 the denominator will be positive and so will be the numerator.
So x > 5 also is a solution.
When x < 3 the numerator will be positive and the denominator will be negative so the function will be negative.
How many times does 7 go into 2,400
Answer:
about 324 times.
Step-by-step explanation:
2400/7
342.857142857
Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly. Who earned the higher score? Explain
Liz scored higher.
Step-by-step explanation:
Given,
Correct answers by Austin = 92%
Total questions = 50
Correctly answered by Liz = 47
Percent of Liz's correct answers = [tex]\frac{Correct\ answers}{Total\ questions}*100[/tex]
Percent of Liz's correct answers = [tex]\frac{47}{50}*100[/tex]
Percent of Liz's correct answers = [tex]\frac{4700}{50} = 94\%[/tex]
As 94% is higher than 92%, therefore;
Liz scored higher.
Keywords: percent, division
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What is the rate of change in the equation y=-2x+7
Answer:
2
Step-by-step explanation:
m is the slope
y=mx+b
y is equation
m is slope (movement)
b is base
In the equation y=-2x+7, the rate of change (slope) is -2, denoting that for every unit increase in x, y decreases by 2. The +7 represents the y-intercept, the value of y when x equals zero. This concept is fundamental in understanding linear equations, where the rate of change is constant.
Explanation:In the equation y=-2x+7, the rate of change is represented by the coefficient of the x variable, which in this case is -2. This signifies that for each unit increase in x, the value of y decreases by 2. In the context of graphing, this slope (or rate of change) would mean for every step to the right (increase in x), you would take two steps down (decrease in y). For example, if x were to increase from 1 to 2, y would decrease from 5 (plugging x=1 into the equation gives y=5) to 3 (plugging x=2 into the equation gives y=3).
The rate of change is a crucial concept in algebra and lies at the heart of most mathematical models. It plays a vital role in calculus, physics, and engineering, amongst other disciplines. The second number in the equation, '+7', signifies the y-intercept, which is the value of y when x equals zero. This equation represents a straight line, as all linear equations do, and the rate of change (or the slope) is constant across this line.
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NEED HELP PLEASE!!!!
Answer:
The answer is 2.414213562
Step-by-step explanation:
The answer is shown in the image attached.
How do dhhdhdbsjjajsd
Suppose a refrigerator that sells for$700 costs $85 a year for electricity. Write an expression for the cost to buy and run the refrigerator for x years.
Answer:
Step-by-step explanation:
700 + 85x <=== ur expression