1.50 acres is the answer.
Final answer:
The mowing rate is 1.5 acres per hour
Explanation:
To find the rate at which a person can mow in acres per hour, we need to use the data provided that a person can mow 0.75 acres in ½ hour. To convert this to a rate in acres per hour, we divide the acres mowed by the hours it took to mow them:
To find the rate at which the person can mow, we need to divide the number of acres mowed by the time taken. In this case, the person can mow 0.75 acres in 1/2 hour.
So, the rate at which the person can mow is 1.5 acres per hour
Rate (in acres per hour) = Acres mowed / Hours taken = 0.75 acres / 0.5 hours = 1.5 acres per hour
Thus, the person can mow at a rate of 1.5 acres per hour.
The length of a rectangular prism is four times the width. The height of the prism is 8 ft. If the volume of the prism is 160 ft3, what is the width of the prism? Round to the nearest tenth of a foot.
A. 8.9 ft
B. 2.2 ft
C. 4.5 ft
D. 10.8 ft
Answer:
2.2
Step-by-step explanation
(guess and check)
2.2 x 4 = 8.8
2.2 x 8.8 x 8 = 160
The width of the prism is approximately 2.2 feet.
Explanation:Let's assume that the width of the prism is x feet. Since the length of the prism is four times the width, the length can be represented as 4x feet. Given that the height is 8 feet, we can use the formula for the volume of a rectangular prism: Volume = Length x Width x Height. Plugging in the given values, we get the equation 160 = 4x * x * 8. By solving this equation, we find that the width of the prism is approximately 2.2 feet (when rounded to the nearest tenth).
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Name the following segment or point.
Given: L,M,N aw midpoints
Altitude to AB
Answer:
Segment CR.
Step-by-step explanation:
We have been given an image of a triangle. We are asked to find the segment that is altitude to segment AB.
We know that the altitude of triangle is the perpendicular drawn from a vertex of triangle to opposite side.
We can see that vertex opposite to segment AB is [tex]\angle ACB[/tex]. We can see that there are two lines drawn from vertex C that are segment CR and CN.
We have been given that points L, M and N are midpoints for our given triangle. We know that segment that is midpoint of triangle is known as median of triangle, therefore, CN is not a correct choice.
We can see that segment CR is perpendicular to segment AB, therefore, option B is the correct choice.
Answer: CR
hope this helps have a nice day
Select the points you need to calculate the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet.
(0, 80)
(5, 40)
(10, 20)
(15, 10)
Answer:
EDGE 2020:
Step-by-step explanation:
It's A: (0,80) and D: (15,10)
The next part is B: -14,3
trust me
The points you need to calculate are the average rate of change from the beginning of the slide (0, 80) and (15, 10).Options A and D are correct.
What is the distance between the two points?The length of the line segment connecting two places is the distance between them. The distance between two places is always positive, and equal-length segments are referred to as congruent segments.
The given coordinate in the problem is;
(x₁,y₁)=(0, 80)
(x₂, y₂)=(15, 10)
The distance between the two points on the x-axis is found as;
d = 15 -0 feet
d = 15 feet
The points you need to calculate the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet will be (0, 80) and (15, 10)
Hence, options A and D are correct.
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Evaluate ³√-8
please help.
-8=-2^3 so the answer is -2.
-8 to the 1/3 power is -2
What is the value of X? show all of your work
Answer:
5
Step-by-step explanation:
We need to use Pythagoras' theorem.
For this we can use the pythagoras formula a^2+b^2=c^2 and rearrange this
We then will have 8^2+b^2=89
(because 89(sqrt) squared is 89)
We can then solve for what x is.
We take away 64 from 89 which is 25
the square root of 25 is 5
Therefore x=5
Find the amplitude and the equation of the midline of the periodic function
Answer:
amplitude: 3; midline is y = 2
Step-by-step explanation:
Note that the range of this function is [-1, 5], values that are 6 units apart. The amplitude is half that, or 3 units.
The midline is the horiz. line halfway between -1 and +5.: y = 3.
These values correspond to the last (fourth) answer choice.
The amplitude and midline of a periodic function can be determined from the function's equation. The amplitude is the absolute value of the coefficient attached to the sine or cosine, and the midline (or vertical shift) is the constant added or subtracted in the function.
Explanation:From the equation of a periodic function, we can determine the amplitude and midline. The amplitude is the absolute value of the coefficient of the function while the midline (or the vertical shift) can be found as the constant added or subtracted in the equation.
Let's consider your periodic function as y = A sin(kx) + D. Here, |A| is the amplitude and D is the midline of the function. However, the function itself is not provided in your question.
For instance, in the function y=0.2 m sin(6.28 m¯¹x − 1.57 s¯¹t), the amplitude, wave number, and angular frequency can be read directly. The amplitude here is 0.2 m (the multiplier of the sine term). It and doesn't seem to be any shifts up or down, so the midline is y = 0 (the x-axis).
So, you can find the amplitude and midline of a periodic function from the equation itself, however, you need the specific equation of your function to do that.
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Which of the following equations describes a relationship of inverse variation between input and out put ?
Answer:
option A
output = constant / input
Step-by-step explanation:
Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.
Equation to describe relationship of inverse variation between input and output will be as following
output ∝ 1 / inputto remove this sign of proportionality
output = k / inputwhere k is a constant
A scale drawing of a rectangular parking lot is shown. The width of the parking lot is smaller than the length. The width of the actual parking lot is 48 feet
Sorry, but is there a picture or anything to see the parking lot? Also what do you need?
I need help with this
The answer is circle, because the shape is a cylinder. Cylinders have a circle on the bottom.
Solve the equation f(x) = g(x) by graphing the functions f(x)= 2^x + 1 and g(x) = 5 on the same set of coordinate axes.
Which statements about the solution to the equation are true?
Select each correct answer.
a. The ordered pair that contains the solution to the equation lies in Quadrant II.
b. there are 2 solutions to the equation.
c. The ordered pair that contains a solution to the equation lies in Quadrant I.
d. The solution to the equation is x = 2.
e. The ordered pairs that contain the solutions to the equation lie in Quadrant I and II.
Answer:
C) The ordered pair that contains a solution to the equation lies in Quadrant I.
D) The solution to the equation is x = 2
Step-by-step explanation:
we have
[tex]f(x)= 2^x + 1[/tex]
[tex]g(x)= 5[/tex]
[tex]f(x)=g(x)[/tex]
we know that
The solution is the x-coordinate of the intersection point both graphs
using a graphing tool
The intersection point is [tex](2,5)[/tex]
therefore
The solution is [tex]x=2[/tex]
see the attached figure
Verify each statement
case A) The ordered pair that contains the solution to the equation lies in Quadrant II
The statement is False
The ordered pair that contains the solution to the equation lies in the first quadrant
case B)There are 2 solutions to the equation
The statement is False
The equation has only one solution
case C) The ordered pair that contains a solution to the equation lies in Quadrant I.
The statement is True (see the procedure)
case D) The solution to the equation is x = 2
The statement is True (see the procedure)
case E) The ordered pairs that contain the solutions to the equation lie in Quadrant I and II
The statement is False
The ordered pair that contain the solution to the equation lie in Quadrant I
Two equations are given below:
m + 4n = 8
m = n − 2
What is the solution to the set of equations in the form (m, n)?
(4, 6)
(2, 4)
(0, 2)
(6, 8)
The solution to the set of equations is (0,2).
Reasoning:
m + 4n = 8 -> 0 + 4(2) = 8
m = n - 2 -> 0 = 2 - 2
Answer:
Yes, B is correct.
Step-by-step explanation:
Solve the equation.
12=2+z/-6
Answer:
[tex]\boxed{\bold{z=-60}}[/tex]
Step-by-step explanation:
Switch Sides
[tex]\bold{2+\frac{z}{-6}=12}[/tex]
Subtract 2 From Both Sides
[tex]\bold{2+\frac{z}{-6}-2=12-2}[/tex]
Simplify
[tex]\bold{\frac{z}{-6}=10}[/tex]
Multiply Both Sides By -6
[tex]\bold{\frac{z\left(-6\right)}{-6}=10\left(-6\right)}[/tex]
Simplify
[tex]\bold{z=-60}[/tex]
The value of z is -60
Step-by-step explanation:see the image
Plz help me i need it
Answer: a) k(x) = 2ˣ
Step-by-step explanation:
[tex]g(x) = 3(2^x)\qquad h(x)=2^{x+1}\\\\k(x) = (g-h)(x)\\.\qquad =3(2^x)-2^{x+1}\\.\qquad =3(2^x)-2^x\cdot 2^1\\.\qquad =3(2^x)-2(2^x)\\.\qquad =1(2^x)\\.\qquad =\large\boxed{2^x}[/tex]
A township office estimates that the amount of trash on a road grows exponentially at a rate of 40% per month if it is not cleaned up. The township also estimates that there are 300 pounds of trash on its main road.
Enter the number of pounds of trash after 3 months.
____ Pounds
Answer:
900
Step-by-step explanation:
If 40% per month = 300. Multiply 300 by 3.
Answer:
823 pounds of trash. ( approx )
Step-by-step explanation:
Since, the exponential growth function is,
[tex]A=P(1+r)^t[/tex]
Where,
P = initial value,
r = growth rate per period,
t = number of periods,
Here, P = 300 pounds, r = 40% = 0.4, t = 3 months,
Thus, the quantity of trash after 3 months,
[tex]A=300(1+0.4)^3=300(1.4)^3 = 823.2\approx 823\text{ pounds}[/tex]
If your in 6th grade and you got offered to go to algebra honors next year and do pre-algebra math over the summer would you do it?Please help me decide
Answer:
YESSSSSS
Step-by-step explanation:
i myself skipped pre-algebra and let me tell you it was the best decision ever. pre-algebra is by far the easiest and probably the most useless math course followed by geometry/trigonometry.
Yes
I would because it is a great opportunity to be ahead for when you get in 9th grade
Pls help meh and explain this:/
answer is b because you can see that it breaks the cycle
Examine the equation: 4x = 2 − y Which equation represents the equivalent equation in slope-intercept form?
Answer:
2 - y = 4x
y - 2 = -4x
y = -4x + 2
i need to answer and explain
Answer:
parallel
Step-by-step explanation:
Solve both equations for y to make it easier to compare them.
2x - 5y = 0 ↔ 5y = 2x, or y = (5/2)x.
y = (5/2)x - 3
Since the slopes are the same, the two lines are parallel.
Tonya bought a sweater that cost $29.99 plus $1.60 tax. She used a coupon for $10 off. She paid the cashier $25. How much change should Tonya receive?
29.99 + 1.60 = 31.59
31.59 - 10 = 21.59
25 - 21.59 = 3.41
Tonya’s change she will receive will be $3.41
I hope this helps.
Tonya should receive $3.41 in change from the cashier after using a $10 coupon and paying $25.
Tonya's change:
Original total cost ,, = $29.99 + $1.60 = $31.59Total with the $10 coupon = $31.59 - $10 = $21.59Change received = $25 - $21.59 = $3.41Which system of linear inequalities is represented by the graph?
Answer:
The system of inequalities is
[tex]y\leq -\frac{1}{3}x+2[/tex]
[tex]y>\frac{2}{3}x+3[/tex]
Step-by-step explanation:
step 1
Find the equation of the solid red line
Let
[tex]A(0,2),B(3,1)[/tex]
Find the slope
[tex]m=(1-2)/(3-0)=-1/3[/tex]
The equation of the line is
[tex]y=-\frac{1}{3}x+2[/tex]
The solution of the inequality is the shaded area below the solid red line
therefore
The inequality is
[tex]y\leq -\frac{1}{3}x+2[/tex]
step 2
Find the equation of the dashed blue line
Let
[tex]A(0,3),B(3,5)[/tex]
Find the slope
[tex]m=(5-3)/(3-0)=2/3[/tex]
The equation of the line is
[tex]y=\frac{2}{3}x+3[/tex]
The solution of the inequality is the shaded area above the dashed blue line
therefore
The inequality is
[tex]y>\frac{2}{3}x+3[/tex]
The system of inequalities is
[tex]y\leq -\frac{1}{3}x+2[/tex]
[tex]y>\frac{2}{3}x+3[/tex]
I just need help with 4-6
Han has 10 cubes, each 5 inches on a side. A) Find the total volume of Han’s cubes. Express your answer as an expression using an exponent. B) Find the total surface area of Han’s cubes. Express your answer as an expression using an exponent.
Answer:
A) Vol_10_cubes = 2*(5^4) inch^3
B) Area_10_cubes = (2^2)*3*(5^3) inch^2
Step-by-step explanation:
A)The volume of a cube, as all sides are equal:
Vol_cube = (side)^3
side = 5 inches
Vol_cube = 5^3 inch^3
Since we have 10 cubes
10 = 2*5
Vol_10_cubes = 2*(5^4) inch^3
B) A cube has six faces, each with area equal to its squared side
Area_cube = 6*(side)^2
Area_cube = 6*(5)^2 inch^2
Area_10_cubes = 2*5*6*(5)^2 inch^2
Area_10_cubes = (2^2)*3*(5)^3 inch^2
The total volume of Han's cubes is given by the expression 10 × 5³ cubic inches, and the total surface area can be expressed as 10 × 6 × 5² square inches.
Explanation:The question asks for the calculation of volume and surface area of cubes with a given side length.
Volume Calculation
To find the volume of a single cube, we use the formula V = s³, where s is the length of a side of the cube. Because each side of the cube is 5 inches, the volume of one cube is V = 5³ inches³, which equals 125 cubic inches. Now, Han has 10 cubes, so the total volume is 10 times the volume of one cube, which can be expressed as:
Total Volume = 10 × 5³ inches³
Surface Area Calculation
The surface area of a single cube is found using the formula SA = 6s², since there are six sides to a cube. With a side length of 5 inches, the surface area of one cube is SA = 6 × 5² square inches, which equals 150 square inches. For 10 cubes, the total surface area is 10 times the surface area of one cube, which can be expressed as:
Total Surface Area = 10 × 6 × 5² square inches
consider the following graph of a linear function which equations have the same slope as the graph above select all that apply
Answer:
Step-by-step explanation:
which graph?
Long division. Show your work please
Answer:
15x
Step-by-step explanation:
9x+5x-1÷(x+1)
9x+5x-1÷1x
15x
A fair number cube , labeled with digits 1 through 6, is rolled four times. What is the probability of rolling a 6 all four times?
Answer:
Step-by-step explanation:
chance of rolling a 6 once on a die: 1/6
1/6 * 1/6 * 1/6 * 1/6 = 1/(36^2)= 1/1296
I just need to know if it’s right. Thanks!
You are correct! It’s C
PLS HELP! FREE POINTS! I NEED THIS QUESTION ANSWERED AS QUICK AS POSSIBLE!
What is the simplest form of the ratio 40 : 16?
A. 20 : 8
B. 10 : 4
C. 5 : 4
D. 5 : 2
E. 10 : 8
The answer is D 5:2
4:16
10:4
5:2
plz help me with this
Answer:
1,887
Step-by-step explanation:
i added all the calories i believe it is the answer unless there are more steps
two carts have 22 bags of groceries between them. The larger one has 13 bags. How many bags are in the smaller one?
Answer:
9 bags
Step-by-step explanation:
22 - 13 = 9
Since there is two carts and we know that in one of them (bigger one) is 13 bags and that we know there is in sum of two 22 bags, we will need to subract sum of bags from two carts by bags from bigger cart to get amount of bags in small cart (in which one we finding that there will be 9 bags).
The smaller cart contains 9 bags.
How to find the number of bags in the smaller cart as given in the question ?It is given that two carts have 22 bags of groceries between them.
Also given that the larger one has 13 bags in it .
Therefore to find the bags in the smaller cart is =
(22 - 13) = 9 bags.
Therefore the smaller cart contains 9 bags.
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Use the distributive property to factor the expression.
8yz − 16xy
The answer is 8y(yz-2x
Answer:
8y(z - 2x)
Step-by-step explanation:
The two given terms have the following factors in common: 8 and y.
Thus, the product in question is 8y(z - 2x).
Real Answer:
8y(z - 2x)
Thank you altavistard they helped me!