A ball is dropped from a height of 48 feet. Each time the ball bounces, it travels back up half the distance from which it fell. How many feet has the ball traveled when it hits the ground from the fifth time?
Please help! All the questions.
. Which numbers are all divisible by 5?
1. 124, 333, 315, 266, 391
2. 135, 205, 330, 275, 365
3. 135, 211, 330, 274, 252
4. 232, 250, 365, 225, 210
Rewrite (10+3)5 using the Distributive Property. Then simplify.
Answer:
[tex]\huge\boxed{\boxed{\tt{65\::)}}}[/tex]
Step-by-step explanation:
Hello.
First, add 10+3.
The sum is 13.
Now, multiply that by 5.
13×5=65
And we're done!
I hope it helps & have an outstanding day! :)
~ST2710 :)
What is 10 times as much as 900
How to do $15.78 in money word form
What is value of the digit 5 in the number 75
What is one and eighty-two hundredths added to fifteen and two-tenths
Denise has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 7mph and walks back at a speed of 3mph, how long should she plan to spend walking back?
Denise should plan to spend around 4.2 hours walking back after running. This is calculated using the concept of time = distance / speed and sum of the times, with the total time, running speed and walking speed given as 6 hours, 7 mph, and 3 mph, respectively.
Explanation:To answer the question 'How long should Denise plan to spend walking back?' we can start by finding the time she spends running. We know that Denise has 6 hours to spend training for an upcoming race. We also know that she runs at a speed of 7mph and walks back at a speed of 3mph.
The total time spent running and walking is 6 hours. To find the running time, we should know that time = distance / speed. However, we don't have the distance. But since the distance ran is equal to the distance walked back, we can use the concept of time = distance / speed and sum of times to solve it.
We can denote the distance by D, thus the time spent running is D/7 and the time walking back is D/3. Adding these times should equal 6 hours.
Putting this into an equation: D/7 + D/3 = 6.
We solve this equation to find D, and find the time spent walking back by substituting D back into D/3. Which gives us about 4.2 hours. So, Denise should plan to spend about 4.2 hours walking back after her run.
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What is u + v + w when u = –10, v = 4, and w = 8? (7th grade math ._.)
A.–22
B.2
C.14
D.22
What is 4 3/4 times 2 1/8 5 simplified? Helppppp
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in feet of the cable above the roadway, x is the horizontal distance in feet from the left bridge support, a is a constant, and (h, k) is the vertex of the parabola. At a horizontal distance of 30 ft, the cable is 15 ft above the roadway. The lowest point of the cable is 6ft above the roadway and is a horizontal distance of 90 ft from the left bridge support.Which quadratic equation models the situation correctly?
The main cable attaches to the left bridge support at a height of ft.
The main cable attaches to the right bridge support at the same height as it attaches to the left bridge support. What is the distance between the supports?
Answer:
26.25 ft.
Step-by-step explanation:
The general form of a parabola is [tex]y = a(x - h)^2 + k[/tex], where the vertex of the parabola is (h,k).
The equation of the parabola is [tex]y = 0.0025(x - 90)^2 + 6[/tex].The distance between the supports at a vertical height of 26.25 is 180ftGiven that
[tex]y = a(x - h)^2 + k[/tex]
A. The quadratic equation
The lowest point (which stands for the vertex) is given as:
[tex](h,k) = (90,6)[/tex]
So, we have:
[tex]y = a(x - 90)^2 + 6[/tex]
From the question, we understand that:
At a horizontal distance of 30ft, the cable is at 15ft. This means:
[tex](x,y) = (30,15)[/tex]
Substitute these values in: [tex]y = a(x - 90)^2 + 6[/tex]
So, we have:
[tex]15 = a(30 - 90)^2 + 6[/tex]
[tex]15 = a(- 60)^2 + 6[/tex]
[tex]15 = a \times 3600 + 6[/tex]
Collect like terms
[tex]3600a = 15 - 6[/tex]
[tex]3600a = 9[/tex]
Make a, the subject
[tex]a = \frac{9}{3600}[/tex]
[tex]a = 0.0025[/tex]
Substitute [tex]a = 0.0025[/tex] in [tex]y = a(x - 90)^2 + 6[/tex].
[tex]y = 0.0025(x - 90)^2 + 6[/tex]
B. The horizontal distance at a height of 26.25ft.
This means that, y = 26.25
So, we have:
[tex]26.25 = 0.0025(x - 90)^2 + 6[/tex]
Collect like terms
[tex]-6 + 26.25 = 0.0025(x - 90)^2[/tex]
[tex]20.25= 0.0025(x - 90)^2[/tex]
Divide both sides by 0.0025
[tex]8100 = (x - 90)^2[/tex]
Take square roots of both sides
[tex]\±90 = x - 90[/tex]
Solve for x
[tex]x = 90 \± 90[/tex]
To the left of the cable, the horizontal distance is:
[tex]x_1 = 90 - 90[/tex]
[tex]x_1 = 0[/tex]
To the right of the cable, the vertical distance is:
[tex]x_2 = 90 + 90[/tex]
[tex]x_2 = 180[/tex]
So, the coordinates of the left and right support at a height of 26.25 is:
(0,26.25) and (180, 26.25)
The distance (d) between them is calculated using:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]
[tex]d = \sqrt{(180- 0)^2 + (26.25-26.25)^2}[/tex]
[tex]d = \sqrt{180^2 + 0^2}[/tex]
[tex]d = \sqrt{180^2}[/tex]
[tex]d = 180[/tex]
The distance between them is 180ft
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Which is greater 1/3 or 0.33
The greater number between 1/3 and 0.33 is 1/3
How to determine which fraction is greaterFrom the question, we have the following parameters that can be used in our computation:
1/3 or 0.33
Express them as decimals
So, we have
1/3 = 0.333..
0.33 = 0.33
By comparison
0.333.. is greater than 0.33
This means that the greater number is 1/3
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Evaluate 4-2f when f=1
Can a cube with a volume of 4 cubic feet fit in a bookshelf that is 12 inches tall?
Explain how to find the greatest common factor of three numbers
A weightlifter holds a 1,700 N barbell 1 meter above the ground. One end of a 2-meter-long chain hangs from the center of the barbell. The chain has a total weight of 500 N. How much work (in J) is required to lift the barbell to a height of 2 m
The work required to lift the barbell to a height of 2 m is 1,700 J.
Explanation:To calculate the work required to lift the barbell to a height of 2 m, we need to consider the gravitational potential energy. The work done is equal to the change in potential energy.
The initial potential energy of the barbell is equal to its weight multiplied by the initial height, which is 1,700 N * 1 m = 1,700 J.
The final potential energy of the barbell is equal to its weight multiplied by the final height, which is 1,700 N * 2 m = 3,400 J.
Therefore, the work required to lift the barbell to a height of 2 m is 3,400 J - 1,700 J = 1,700 J.
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A wheelchair access ramp has an angle of elevation of 18°. If the ramp reaches the top of a 26 inch high porch, how long is the ramp
rosa scored 174,325 points a games to the nearest ten thousand
please help me solve this maths problem ☺
Answer:
lets
h =# of hens in the filed and c = # of cows in
the field
hens and cows have 50 heads
h + c = 50 (1)
hens and cows have 180 legs (hen has 2
legs and cow has 4 legs)
2h+4c180 (2)
From equation (1) h + c = 50 ----> h = 50 - c
substitute h = 50 c into 2h + 4c = 180 (
-
2h+4c 180
2(50-c) + 4c = 180
1002c+ 4c = 180
2c 180-100
2c=80
C = 40
2h + 4(40) = 180
2h+160 180
2h = 20
h = 10
answer
hens = 10 and cows = 40
double check:
heads: 10 hens + 40 cows = 50 total legs:10(2) + 40(4) = 20 + 160 = 180
anita says ray CD can also be called ray dc. do you agree?
What is the angular velocity of a 6-foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for pi
Write an equation and solve. If four times Catherine’s age is subtracted from 5 times Jose’s age, the difference is 32 years. Jose is sixteen. Find Catherine’s age.
How is the number five thousands and eighty-five thousandths written in decimal form?
A) 5000.0085
B) 500.00085
C) 5000.085
D) 5000.85
I chose answer C. Is this correct?
The decimal form of 'five thousands and eighty-five thousandths' is 5000.085. Therefore, your answer choice C) 5000.085 is correct.
Explanation:The decimal number 5000.085 can be understood as a combination of two distinct parts: the whole number component, 5000, signifies 'five thousands,' representing a quantity in the thousands place, and the fractional part, 0.085, signifies 'eighty-five thousandths,' indicating a value less than one but greater than zero. When these two components are integrated, the number 5000.085 emerges, illustrating a precise quantity with both an integral and fractional significance. This understanding showcases the inherent nature of decimal notation, where whole numbers and fractional values harmoniously coexist, providing a comprehensive representation of numerical quantities.
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If g(x) = x2, which expression is equal to g(x + 1)
1
x2 + 1
x2 + 2x +1
x2 - x
To find g(x+1) for the function g(x)=x^2, you substitute x+1 into the function to get (x+1)^2, which expands to x^2 + 2x + 1.
Explanation:The function given is g(x) = x^2. To find g(x + 1), you just need to substitute x + 1 into the function where x is. So, g(x + 1) = (x + 1)^2. If we expand this, it becomes x^2 + 2x + 1.
Therefore, the expression that is equal to g(x + 1) is x^2 + 2x + 1.
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A flower bed has the shape of a rectangle 9 yards long and 3 yards wide. What is its area in square feet?
Answer:
243 ft2
Step-by-step explanation:
9*3= 27
3*3= 9
27*9=243 ft2
The area of the rectangular flower bed is 243 square feet.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
Given that a flower bed has the shape of a rectangle 9 yards long and 3 yards wide.
Length = 9 yards = 9 x 3 feet = 27 feet
Width = 3 yards = 3 x 3 feet = 9 feet
The area of the rectangular flower bed will be calculated as,
Area = L x W
Area = 27 x 9
Area = 243
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how could u demonstrate that there are 1,000 millimeters in 1 meter
Answer:
There are 1000 millimeters in a meter.
Starting from lower scale that is, centimeter, decimeter and then meter
1 cm = 10 mm
1 dm = 10 cm
And 1 meter = 10 dm
So, when you go up to mm from meter, we will do [tex]10^{3}[/tex] to get the relation between meter and mm.
Hence, 1 meter = [tex]10\times10\times10=1000[/tex] millimeters.
A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hold? Express your answer as a mixed number in the simplest form.
Answer: 7/100
Step-by-step explanation:
Count with yo Hands fool
The hot dog eating champion eats 27.5 hot dogs in 4 minutes. At that rate, how many does he eat in to 10 minute competition
Is 9r+16=π/5 a literal equation?
The given equation is
[tex]\rightarrow 9r+16=\frac{\pi}{5}[/tex]
The value of π is 3.14 or [tex]\frac{22}{7}[/tex] that is a fixed Value.
[tex]\rightarrow 9r +16=\frac{3.14}{5}\\\\9r+16=0.628\\\\9r=0.628-16\\\\9r=-15.372\\\\r=\frac{-15.372}{9}\\\\r=-1.708[/tex]
So, the given equation is Literal ,because variable value is Known.
A literal equation is an equation that has at least one letter or one unknown variable.
[tex]9r + 16= \frac \pi 5[/tex] is a literal equation because it has letter r
Given that:
[tex]9r + 16= \frac \pi 5[/tex]
By analyzing the equation, we have:
[tex]9, 16, 5 \to[/tex] number
[tex]r \to[/tex] letter
[tex]\pi \to[/tex] constant
Because r is a letter, then the equation is a literal equation
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