Answer:
0.3888 m or 38.88 cm
Step-by-step explanation:
I believe the question should be "how high will it rise from the third bounce?"
Initial height = 1.8m
If the ball only rises to 3/5 of the previous height after each bounce, the heights after the first three bounces are;
[tex]h_0=1.8m\\h_1=\frac{3}{5}*1.8=1.08\ m\\h_2=\frac{3}{5}*1.08=0.648\ m\\h_3=\frac{3}{5}*0.648=0.3888\ m[/tex]
The ball will rise 0.3888 m or 38.88 cm from the third bounce
Answer: 2.92h
Explanation:
Given:
the ball falls and rebounds to 3/5 of the height it is falling.
Height = 1.8m
to calculate the total distance traversed by the ball up to the third bounce
D = h(0) + (3/5) x h(0) + (3/4) h(0) + (3/4) x (3/4) h(0) + (3/5) x (3/5) h(0) the ball falls and rebounds to 3/4 of the height it is falling.
this distance = down + up +down +up +down only
otherwise it will do the after 3rd bounce travel.
D = h(0) { 1 + 2 x (3/5) + 2 x (9/25) }
= 2.92h(0)
Please help me thank you
Answer:
B
Step-by-step explanation:
On one day in January, the temperature in Milwaukee, Wisconsin fell 12°F from the high temperature to a low temperature of -8°F. If t represents the high temperature, what is the value of t?
Answer:
t = 4
Step-by-step explanation:
you have -8 and twelve you equation is x -12 = -8 so we just have to flip the equation around to make it x = 12 -8 which is easy . You just have to make sure you don't get mixed up while flipping the signs.
The value of t is 4.
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
The temperature in January = 12 °F
And the low temperature is = -8 °F
The equation of temperature t can be given as
t= high temperature + low temperature
t= 12 - 8
t=4
The value of t is 4.
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Tim wants to build a rectangular fence around his yard. He has 42 feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.
Answer:
Rectangular fence dimensions:
x = 14 ft
w = 7 ft
A = 98 ft²
Step-by-step explanation:
Rectangular fence dimensions:
x length and w width
Then x = 2*w ⇒ w = x/2
Perimeter is
p = 2*x + 2*w
p = 2*x + 2* x/2
p = 2*x + x
3*x = 42
x = 14 ft and w = 14/2 ⇒ w = 7 ft
Pleas answer this question now fast in two minutes
Answer:
3
Step-by-step explanation:
Adjacent angles have a common side and no common interior points.
Can someone help me with this question please.
Answer:
Cheapest price is £25.38
Step-by-step explanation:
To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer
=>Cost of getting 10 rolls at £9.21 per roll:
10 × £9.21 = £92.1
=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls
£25.38 = 3 rolls
x = 10 rolls
x = (25.38*10)/3 = 253.8/3
10 rolls would cost x = £84.6
=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:
£42.85 = 5 rolls
x = 10 rolls
x = (10*42.85)/5 = 428.5/5
x = £85.7
From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.
Therefore, the cheapest price is £25.38
simplifica: 49/90, se puede????
Answer:
49/90 is simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
49/90
I NEED HELP PLEASE! THANKS :)
Answer:
A
Step-by-step explanation:
First, let's do the difference of two squares:
[tex](1-cos^4(\theta))=(1-cos^2(\theta))(1+cos^2(\theta))[/tex]
Note that [tex]sin^2(\theta)=1-cos^2(\theta)[/tex] (Pythagorean Identity)
Thus, we can substitute:
[tex]sin^2(\theta)(1+cos^2(\theta))[/tex]
Now, and I'm serious, you just have to use your creativity. After a while, you will find that:
[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]
So:
[tex]1+sin^2(\theta)+cos^2(\theta)=1+1[/tex]
Thus, we have [tex]1+cos^2(\theta)=2-sin^2(\theta)[/tex]
Now, we can substitute:
[tex]sin^2(\theta)(2-sin^2(\theta))=2sin^2(\theta)-sin^4(\theta)[/tex]
which of the following is equivalent to the expression i^57. A.i B.1 C.-1 D.-i
Answer:
A: i
Step-by-step explanation:
i^57=i use the calculator
Please help me I will mark BRAINLIST :))))
Answer:
47%
Step-by-step explanation:
The total number of student is 4+6+2+2+3+4+6+3 = 30 students
P( male) = male / total
= (4+6+2+2)/ total
=14/30
=.466666666
46.66666%
To the nearest whole percent
47%
A librarian has 4 times as many mysteries than romances. She lends out 12 mystery books. How many mystery books she have now if she started with 15 romances?
Answer:
48
Step-by-step explanation:
Hi can someone please help meee
Brian plays basketball. In the past he has made 4 out of every 5 free throws. What is the probability, as a decimal, that Brian will make the next two free throws?
Answer:
0.64
Step-by-step explanation:
4 out of 5 free throws is 0.8 as a decimal.
The probability that Brian will make 2 free throws is 0.8 for the first one, and then 0.8 of that for the second one. That means you multiply the two to get your answer and 0.8 times 0.8 = 0.64.
Factor completely 3x4 − 48
Answer:
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]Step-by-step explanation:
[tex] 3{x}^{4} - 48[/tex]
Factor out 3 from the expression:
[tex]3( {x}^{4} - 16)[/tex]
Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex],factor the expression
[tex]3(( {x}^{2} ) ^{2} - {(4)}^{2} )[/tex]
[tex]3( {x}^{2} - 4)( {x}^{2} + 4)[/tex]
Again, factor using the formula of [tex] {a}^{2} - {b}^{2} [/tex]
[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]
Hope this helps...
Good luck on your assignment...
Answer:
3(x − 2)(x + 2)(x2 + 4)
Step-by-step explanation:
Took the quiz and got it right hope this helps :) , you can check out the other answer for explanation.
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)
Please help quicklyyy!Zachary sold his stock in a computer company. He received $34 per share. This was $8 less
than twice what he paid for it. What was the price of the computer stock per share when he
bought it?
Answer:
Hey there!
Let x be the price he paid for.
2x-8=34
2x=42
x=21
He bought the stock for 21 dollars.
Hope this helps :)
Answer:
The price per share when he bought it was 21
Step-by-step explanation:
Let x = price he paid for the stock
34 = 2x-8
Add 8 to each side
34+8 = 2x-8 +8
42 = 2x
Divide by 2
42/2 = 2x/2
21 = x
The price per share when he bought it was 21
Please Help !! I don’t know what to do :(
Answer:
(5+a)/ ( a-1)
Step-by-step explanation:
f(x) = ( 3+x) / (x-3)
Replace x with a+2
f(a+2) = ( 3+a+2) / (a+2-3)
Combine like terms
= (5+a)/ ( a-1)
Answer:
C. (5+a)/(a-1)
Step-by-step explanation:
f(a+2)=(3+a+2)/(a+2-3)=(5+a)/(a-1)
Find the exact value by using a half-angle identity. cosine of pi divided by twelve
Answer:
The answer is C.
Step-by-step explanation:Th answer is C because you identify pi and devide it 12 which gives you the answer is which is C.
Answer:
[tex]\frac{1}{2} \sqrt{2+\sqrt{3}[/tex]
Step-by-step explanation:
just took the test
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1/8. There are 56 marbles in the bag and each is equally likely to be chosen. Work out how many red marbles there must be
Answer:
7 red marbles
Step-by-step explanation:
P( red) = red marbles / total marbles = 1/8
We know there are 56 marbles
red marbles/56 = 1/8
Multiply by 56
red marbles = 1/8 *56 = 7
There are 7 red marbles
this is math can someone help pls a floppy disk can store 1440000 bytes of data. write the number 1440000 in standard form........ i would be grateful if u can help
Answer:
1.44×10^6 is the standard form
Step-by-step explanation:
i hope this will help you :)
Graph the relation shown in the table. Is the relation a function? Why or why not? {(-1, 9), (0, -1), (-1, 4), (4, 9)}
Answer:
Not a function
Step-by-step explanation:
For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.
Answer:not a function
Step-by-step explanation:
because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers
At a certain time of day, a 40-foot building casts a 8 foot shadow. How tall is a person who casts a 2 foot shadow? A. 4 feet B. 6 feet C. 8 feet D. 10 feet
Answer:
D. 10 feet
Step-by-step explanation:
40/8 = x/2 --> cross multiply
8x = 80
x = 10
Option D is correct, the person who casts a 2 feet shadow is 10 foot tall.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that At a certain time of day, a 40-foot building casts a 8 foot shadow.
We need to find how tall is a person who casts a 2 foot shadow.
Let x be the height of the person.
Let us form a proportional equation
40/8=x/2
Apply cross multiplication
80=8x
Divide both sides by 8
x=10
Hence, the person who casts a 2 foot shadow is 10 foot tall.
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11. Write the equation of the line in slope-intercept form that is parallel to the line y = - 4x + 2 and
passes through (2-4)
Answer:
y= -4x
Step-by-step explanation:
hope this helps and lmk if you need anything!
HELPPPPPPPPPPPP SNOG OR SOMEONE
Answer:
4
Step-by-step explanation:
We see that a point is (1, 4) so the answer is 4/1 = 4.
Hey there! :)
Answer:
Second choice: 4.
Step-by-step explanation:
The constant of proportionality is also the slope, or rate of change. The slope formula can be used to solve this problem:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in points from the graph into the equation.
[tex]m = \frac{4 - 0}{1 - 0}[/tex]
m = 4.
Therefore, the constant of proportionality is 4.
Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)
Answer:
0.0471
Step-by-step explanation:
Here, we want to find the area of the shaded region.
The area of the shade region = 1- area of the unshaded region
The area of the unshaded region is as follows;
P(b) - P(a)
and that is;
P(-1.88<x<2.12) = 0.95294 from z table
So the area of the shaded region = 1-0.95294 =
0.04706 = 0.0471 to 4 d.p
Gabriella drives her car 400 miles and averages a certain speed. If the average speed had been 7 mph less she could have traveled only 350 miles in the same length of time what is her average speed
Answer:
Gabriella's average original speed was 56 [tex]\frac{mi}{h}[/tex]
Step-by-step explanation:
Let's use the equation that defines the average speed "v" of Gabriella during the time (t) that her trip took:
[tex]v = \frac{distance}{time} \\v=\frac{400}{t}[/tex]
Next let's write a similar average speed equation for the case in which she drove at (v - 7 mi/h) during the same time "t" and covered 350 miles:
[tex](v-7)=\frac{350}{t}[/tex]
Notice that the time "t" in the denominator appears equally in both equations we wrote, so let's isolate them on the right:
[tex]\frac{v}{400} =\frac{1}{t} \\and\\\frac{(v-7)}{350} =\frac{1}{t}[/tex]
now equal both expression since they both share the same value on the right, and solve for the unknown "v":
[tex]\frac{v}{400} =\frac{(v-7)}{350} \\350\,v=400\,(v-7)=\\350\,v=400\,v-2800\\2800=50\,v\\v=\frac{2800}{50} \,\,\frac{mi}{h}\\v=56\,\,\frac{mi}{h}[/tex]
To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step
Answer:
6x to find x on it's own you need to divide by the number infront,
Step-by-step explanation:
What is the difference from the point (-6,2) to the point (2,17)?
Answer: Distance is 17
Step-by-step explanation:
[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]
[tex](x2-x1) = (2 -6) = 8[/tex]
[tex](y2-y1) = (17 - 2) = 15[/tex]
Add them all together
[tex](8)2 + (15)2 = 64 + 225 = 289[/tex]
Square 289
[tex]\sqrt{289} =17[/tex]
25x^2+58+16 how do you factor
Answer:
[tex](25x + 8)(x + 2)[/tex]
Step-by-step explanation:
[tex]25x^{2} + 58x + 16 = 25x^{2} + 50x + 8x + 16 = 25x(x + 2) + 8(x + 2) = (25x + 8)(x + 2)[/tex]
A tree DOUBLES in height each year until it reached its maximum height over the course of 10 years. How many years did it take for the tree to reach HALF its maximum height?
Answer:
9 years
the tree doubles in height
we can make a model
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
128 x 2 = 256
256 x 2 = 512
512 x 2 = 1024
Let's say 1024 is the maximum height
half the maximum height is 1024 x 0.5 = 512 so it will take 9 years because it reached 512 on the 9th year
Step-by-step explanation:
a=3 and b=4
b/2 ÷ 2 + (a2 - 1)
if a = 3 and b = 4, then:
4/2 ÷ 2 + (3^2 - 1)
2 ÷ 2 + (3^2 - 1)
1 + (9 - 1 )
1 + (8)
9
Please vote Brainliest if this helped you!
Answer:
Step-by-step explanation:
a = 3 & b = 4
b/2 ÷ 2 + (a² - 1) = 4/2 *1/2 + (3² -1)
= 1 + (9-1)
= 1 + 8
=9
****WHO ANSWER WILL BE THE BRAINLIEST****
In circle D, which is a tangent to the circle? *
FE
AB
DC
GBE
Answer:
AB
Step-by-step explanation:
A tangent is a line that touches a circle but never goes through it. Wherever the the tangent touches is called the point of tangency and creates a perpendicular bisector (90° angle).
Answer:
AB
Step-by-step explanation:
A tangent to a circle is a straight line that touches the circle at only one point.