Answer:
B
Step-by-step explanation:
Just took test on edge.
Average rate of change, miles per hour, during the interval 0.75 to 1.00 hours is 5 miles per hour.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
Given a table which shows how far a distance runner has traveled since the race began.
If f(x) is a function, the average rate of change of the function in the interval [a, b] is,
f(b) - f(a) / b - a
Here the interval is (0.75, 1).
Average rate of change of the function is,
Average rate of change = (4.75 - 3.50) / (1 - 0.75)
= 1.25 / 0.25
= 5
Hence the required average rate of change is 5 miles per hour.
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4 hours worked for $12; 7 hrs worked for $28 are the pair of ratios equal?
Answer:
no they're not equal
Step-by-step explanation:
you can find the ratio by dividing 12/4 and 28/7. 12/4 = 3 and 28/7 = 4. 3 and 4 are not equal, so no.
What is the angle of elevation?
Answer:
Step-by-step explanation:
tan x° = [tex]\frac{3}{4}[/tex] ⇒ x° ≈ 36.87° ≈ 36.9°
A rocket is launched from a tower. The height of the rocket , y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
Y=-16x^2+147x+118
========================================================
Explanation:
The general equation
y = ax^2 + bx + c
has the vertex (h,k) such that
h = -b/(2a)
In this case, a = -16 and b = 147. This means,
h = -b/(2a)
h = -147/(2*(-16))
h = 4.59375
The x coordinate of the vertex is x = 4.59375
Plug this into the original equation to find the y coordinate of the vertex.
y = -16x^2+147x+118
y = -16(4.59375)^2+147(4.59375)+118
y = 455.640625
The vertex is located at (h,k) = (4.59375, 455.640625)
The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet
C
Kris is cutting ribbon that each measure 2 ft
long. If Kris is cutting from a piece that measures
8zft
, how many pieces can Kris cut?
Answer:
4
Step-by-step explanation:
because 2+2+2+2=8 pretty self explanatory
Answer:
13
Step-by-step explanation:
Which operation would you use to solve for x in the equation 3x = 15?
Answer:
Division
Step-by-step explanation:
3x = 3 times x so, you must do the opposite of multiplication to get rid of the 3, which is division.
The solution of the equation with a single variable 3x = 15 will be 5.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
3x = 15
Divide the equation by 3 into both sides, then we have
3x / 3 = 15 / 3
x = 5
The solution of the equation with a single variable 3x = 15 will be 5.
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What is the annual interest for a principal of $3,500 at a simple annual interest
rate of 2.3%?
Answer:
Step-by-step explanation:
Given principal p =$3500
Time t =1 year
Rate of interest r =2.3%
So annual interest=p×r×t/100
=3500×2×2.3/100
=7000×2.3/100
=16100/100
=161.
So annual interest is $161
In a direct variation, y= -1/6 when x=4/3. Write a direct variation equation that shows the relationship between x and y.
Please answer ASAP!
Answer: y = 3x
Step-by-step explanation: For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yx. What are the dimensions of the rectangle with the maximum area? What is that area?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, the complete question is:
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y 81-x², what are the dimensions of the rectangle with the maximum area? what is the area?
Solution:
Given the parabola:
y = 81 - x²
Let the points (a,0) and (-a, 0) be points on the axis, this points touch the parabola at (a, 81 - a²) and (-a, 81 - a²).
Points (a,0), (-a, 0), (a, 81 - a²), (-a, 81 - a²) form the rectangle.
The length of rectangle = distance between (a,0) and (-a, 0) or between (a, 81 - a²) and (-a, 81 - a²) = 2a
The breadth of rectangle = distance between (a,0) and (a, 81 - a²) or between (-a, 0) and (-a, 81 - a²) = 81 - a²
Area of rectangle (A) = length × breadth = 2a × (81 - a²) = 162a - 2a³
A = 162a - 2a³
The maximum area is at dA / da = 0
dA / da = 162 - 8a² = 0
162 - 6a² = 0
6a² = 162
a² = 27
a = 5.2 units
Length = 2a = 2(5.2) = 10.4 units
Breadth = 81 - a² = 81 - 5.2² = 54 unit
Area = length × breadth = 54 × 10.4 = 561 unit²
enter decimal numbers in the boxes to complete the order pair that locates point Q on the coordinate plane
Answer:
(1.5,-1.5)
Step-by-step explanation:
Hope this helps you
What is the REMAINDER of 15,908 divided by 13?
Answer: 1223 and the remainder is 9
Step-by-step explanation:
In science class, Polly learned that trees help make the oxygen that people breathe. One tree makes about 250 pounds of oxygen each year. Polly wonders how much oxygen the trees on her street make. When she gets home, she counts 32 trees on her street. How many tons of oxygen do they make in a year?
Answer:
They make 4 approximately tons of oxygen each year.
Step-by-step explanation:
( 250lbs × 32 ) ÷ 2000 = 4t
250 pounds because each tree makes about 250 pounds of oxygen a year.
× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.
÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.
If the original quantity is 10 and the new quantity is 15, what is the percent increase?
Given the value of the original quantity and the value of the new quantity, the percentage increase is 50%.
What is percent increase?Percent increase is aimply the amount of increase from the initial value to the new value in terms of 100 parts of the initial value.
It is expressed as;
C = ((x₂ - x₁) / x₁)100%
Where x₁ is initial value and x₂ is new value
Given the data in the question;
Initial value x₁ = 10New value x₂ = 15Percentage increase C = ?We substitute the given values into the expression above.
C = ((x₂ - x₁) / x₁)100%
C = ((15 - 10) / 10)100%
C = (5/10)100%
C = 0.5 × 100%
C = 50%
Therefore, given the value of the original quantity and the value of the new quantity, the percentage increase is 50%.
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9a + 8 - 20-3-50
Answer
Answer:
9a-65
Step-by-step explanation:
simply write 9a+(add the remaining numbers all together)
Find PM pls help fast
Answer:
I think it is 4 but, im not sure
i need help with this plz i have no idea what to do
Answer:
When Item Price * (%) is < or > to $ Off
Step-by-step explanation:
Solve for x
Enter the solutions from least to greatest.
(x – 7)(-4x − 2) = 0
lesser x =
greater x =
Answer:
X= -1/2 X= 7
Answer:
lesser x= -5 Greater X= 5
Step-by-step explanation:
−x
2
−8
−x
2
x
2
=−33
=−25
=25
Hint #22 / 3
Now we can take the square root of both sides, not forgetting to take both the positive and negative roots of the right-hand side:
\begin{aligned} \sqrt{x^2}&=\sqrt{25} \\\\ x&=\pm 5 \end{aligned}
x
2
x
=
25
=±5
Hint #33 / 3
In conclusion,
\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= 5 \end{aligned}
lesser x
greater x
=−5
=5
A fair six-sided die is rolled. Find the probability of getting a 4.
Answer:
A fair six-sized die is rolled. Find the probability of getting at least a 4.
There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.
The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. Complete this sentence: The rate for Printer B is (a) ____________ the rate for Printer A because the rate of 25 pages per minute is (b) _____________ the rate of (c) __________ pages per minute for Printer A.
Answer:
a equal to c 25 b greater than
Step-by-step explanation:
Answer:
As per graph the rate of Printer A is 15 pages per minute.
Missing words are:
(a) greater than(b) greater than(c) 15The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.
How many pounds of walnuts that cost $6.50 per pound must be mixed with 7 pounds of cashews that cost $11 per pound to make a mixture of nuts that costs $8.60 per pound?
I need help with this question.
Answer:You will need to buy 1/2 a pound of cashews and 1/2 a pound of peanuts
Michael threw a baseball 17.6 meters. His older brother, Kyle, threw a baseball 3.5 times farther than Michael. How far did Kyle throw the baseball?
Answer: 61.6
Step-by-step explanation:
17.6 X 3.5 = 61.6
Answer:
Kyle threw the baseball 61.6 meters
Step-by-step explanation:
You multiply 17.6 by 3.5 which results in 61.6
the least common multiple of 14 and 22
Answer:
Least Common Multiple (LCM) of 14 and 22 is 154.
Answer:
Least Common Multiple (LCM) of 14 and 22 is 154.
Houses can be either domed or octagonal.
True
False
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Houses can be either domed or octagonal: True
There are a total of 120 bicycles and tricycles in a shop. There are 302 wheels in allmany bicycles and how many tricycles are in the shop?
Answer: There are 62 tricycles in the shop.
Step-by-step explanation:
Given: Number of wheels in a bicycle = 2
Number of wheels in a tricycle = 3
Let x = Number of bicycles , y = Number of tricycles.
As per given , we have
x+y =120 (i)
2x+3y=302 (ii)
Multiplying 2 on both sides of (i)
2x+2y=240 (iii)
Subtract (iii) from (ii) , we get
y= 62
Put value of y in (i) , we get
[tex]x+62=120\\\\\Rightarrow\ x=120-62\\\\\Rightarrow\ x= 58[/tex]
Hence, there are 58 bicycles and 62 tricycles in the shop.
Hadley paddled a canoe 2 miles in 1/9 of
an hour How far could Hadley paddle in
1 hour?
Answer: 18 miles
explanation: set up a proportion. (2 over 1/9 = x over 1). cross multiply, 2x1=2, then divide 2/(1/9)=18.
Which of the following expressions is equivalent to the one below? 3x + 6y
A.
6(2x + y)
B.
6x + 3y
C.
3(x + 2y)
D.
9(x + y)
A line passes through the point (10, -1) and has a slope of 3/2 .
Write an equation in slope-intercept form for this line.
Answer:
y=3/2x-16
Step-by-step explanation:
The equation of the line passing from points (10, -1) is y = 3x/2 - 16.
What is equation of a line?A straight line's equation is a mathematical formula that describes the relationship between the coordinate locations along the line. It conveys the slope, x-intercept, and y-intercept of the line and can be expressed in a variety of ways. Y = mx + c and axe + by = c are the two versions of the equation of a straight line that are most frequently employed.
Given slope = 3/2 and points (10, -1)
equation of line is given by y = mx + c
m = 3/2
y = 3/2x + c
substitute points,
-1 = 10*3/2 + c
c = -16
equation of line is y = 3x/2 - 16
Hence the equation is y = 3x/2 - 16.
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please helppp! and thank you
Answer:53
Step-by-step explanation:
Manny rolls a number cube labeled 1-6 and spins a spinner with four equal sections, labeled 1, 2, 3, and 4. If both numbers are odd, he wins. Otherwise, Gabriel wins. Use a list to find the sample space. Then find the probability that Gabriel wins.
a.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
c.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
d.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
Answer:
b
Step-by-step explanation:
Answer:
b.
1, 1; 1, 2; 1, 3; 1, 4; 2, 1; 2, 2; 2, 3; 2, 4; 3, 1; 3, 2; 3, 3; 3, 4; 4, 1; 4, 2; 4, 3; 4, 4; 5, 1; 5, 2; 5, 3; 5, 4; 6, 1; 6, 2; 6, 3; 6, 4;
Step-by-step explanation:
IT'S B
Please answer this correctly without making mistakes
Answer:
The answer is $0.07 cents per inch
Step-by-step explanation:
If you take 6 feet into inches (72)
and divide the total cost by the amount of inches (5.04 / 72)
You get the answer
HELP ME ASAP
graph f(x)=3x+4 and h(x)=f(x+3)
The standard form for expressing the equation of a straight line is
y = mx + b
Given the functions from the question f(x) = 3x + 4
If h(x) = f(x+3)
Replace x with x+3 in the function f(x) to have;
h(x) = 3(x+3) + 4
h(x) = 3x + 9 + 4
h(x) = 3x + 13
Hence the required graph for both functions are attached below;
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