Answer:
20feetStep-by-step explanation:
Initial height of the ball = 8feet
If it bounces 60% of its previous height, its new height will be;
60% of 8
= 60/100 * 8
= 480/100
= 4.8 ft
If it bounces 60% of its current distance, new height will be expressed as;
60% of 4.8
= 0.6 * 4.8
= 2.88
The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...
In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;
S∞ = a/1-r where;
a is the first term = 8
r is the common ratio
[tex]r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6[/tex]
Substitute into the formula;
S∞ = a/1-r
S∞ = 8/1-0.6
S∞ = 8/0.4
S∞ = 20feet
Hence the total distance traveled by the ball is 20feet
WILL GIVE BRAINLIEST.
Find the equation of the line. Use the exact numbers.
Equation: y = __ x + __
Answer:
y=1/2x+4
Step-by-step explanation:
Answer:
y=2x+4
Step-by-step explanation:
i need help please asap
Factor completely...I need help with my algebra 2 assignment!
PLEASE HELP, #30 and #40 !! DUE SOON
Answer:
38. x = 60
40. x = 10
Step-by-step explanation:
38.
The segment labeled 30 connects the midpoints of two sides of a triangle, so it is parallel and half the length of the third side.
x = 2 * 30 = 60
40.
Look at the big outer triangle.
Its left side has length x. It is made up of two segments that are congruent.
The right side of the big triangle is made up of two segments that are congruent and are also congruent to the segments of the left side. That makes the left and right sides of the big triangle congruent. This is an isosceles triangle, so its base angles are congruent. The left base angle measures 60, so the right base angle also measures 60. That means the top angle also measures 60. This triangle is isosceles and equilateral.
Since the segment measuring 5 has endpoints that are midpoints of two sides of a triangle, it is parallel to the third side and half its length.
The bottom side of the triangle measures 2 * 5 = 10. Since the triangle is equilateral, then x = 10.
A survey of 100 parks showed the following.
37 had camping.
28 had camping and hiking trails.
69 had hiking trails. 33 had hiking trails and biking paths.
58 had biking paths. 15 had hiking trails, biking paths and camping.
22 had camping and biking paths.
Answer:
A) 2
B) 71
c) 4
D)42
Step-by-step explanation:
Draw the Venn diagram starting from the intersection of all
A building has 63 apartments and 70 bathrooms. What is the ratio of apartments to bathrooms in the building?
Answer:
63:70
Step-by-step explanation:
please help. its on ratio
Answer:
You: 6
Friend: 12, 16
Your friend sold 16 tickets
Step-by-step explanation:
u-U sincerely~ MiHa
Solve the linear equation
3.4 + 2(9.7 – 4.8x) = 61.2
5x - ( 4x - 1) = 2
a. 1/9
b. -1
c. - 1/9
d. 1
Answer:
D. 1
Step-by-step explanation:
Distribute the -1
5x - 4x +1 = 2
1x = 1
x=1
A furniture store had a chair that costs $42. The owner put it on sale for 20% off. How much is the chair now?
Answer:
$33.60
Step-by-step explanation:
Answer:
33.60
Step-by-step explanation:
20% of 42 is 8.40. Subtract that from 42 to get your answer.
Simplify the expression
5[(13-7)2 +2]
Answer:
62
Step-by-step explanation:
13-7=6
6 times 2=12
12 times 5=60
60 +2=62
SUPER EASY HELP ME
Which of the following relations is a function?
A.
(2, 0), (-5, 3), (5, 1), (-5, 5)
B.
(2, 4), (-5, 6), (2, 3), (-6, 2)
C.
(5, 1), (-5, 4), (2, 1), (5, 2)
D.
(2, 4), (-5, 2), (5, 1), (-6, 2)
Answer:
D
Step-by-step explanation:
it is a function because the x-value does not repeat
:( can sum1 please help me I got 15min till its due and well my grades are due in 5 and I'm really suck at this question
Answer:
14 is the answer your welcome
PLEASE HELP WILL MAKE BRAINLIST
What is the solution to 4|x − 3| + 1 = 1?
A.
x = 3
B.
x = 3 or x = 4
C.
x = 3 or x = 6
D.
No solutions exist.
Answer:
X=3
Step-by-step explanation:
4x-12+1=1
4x=1-1+12
4x=12
x=12/4
x=3
Answer:
x=3
Step-by-step explanation:
help much? brainliest if i can
Answer:
Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.
Step-by-step explanation:
The slope-intercept form of a line is given as:
[tex]y = mx+b[/tex]
Here m is the slope and b is the y-intercept
m is calculated using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Given points are:
[tex](x_1,y_1) = (-3,7)\\(x_2,y_2) = (9,-1)[/tex]
Putting the values in the formula
[tex]m = \frac{-1-7}{9+3}\\= \frac{-8}{12}\\=\frac{-2}{3}[/tex]
Putting m=-2/3 in equation
[tex]y= -\frac{2}{3}x+b[/tex]
Putting (9,-1) in equation
[tex]-1 = -\frac{2}{3}(9)+b\\-1 = -6+b\\b = -1+6\\b = 5[/tex]
Putting the value of b
[tex]y = -\frac{2}{3}x+5[/tex]
Hence,
Option 1:[tex]y = -\frac{2}{3}x+5[/tex] is the correct answer.
im high & kinda slow help out .
Answer:
In google
Step-by-step explanation:
Is all
[EASY] What's the slope of the line?? PLEASE HELP
Answer:
-3/1
Step-by-step explanation:
you go down 3, and to the right one. slope is rise over run so -3 over 1
Please help I need an explanation i will give brainliest :)
y=10
If you divide 8 by 2 you'll get 4. Now do the opposite of division. multiply5 by 2 you'll get 10
Hi. Please I need help with these questions.
It's urgent . 50pts.
No jokes. This time
Answer No 10and 11
next question
11)
[tex] {x}^{2} + (k - 1)x - k = 0[/tex]
[tex](x - 1)(x + k) = 0 \\ x = 1 \\ x = - k[/tex]
they are equal so both are one
then k = -1
be careful the answer of q 10 is in the pictures
hurry plz yeyeyeyeyeyye
Answer:
$250
Step-by-step explanation:
could someone help me with this ? i need to find m
the three angles of a triangle always add up to 180 degrees.
So, add the three angles together!
2x - 12 + 2x + 17 + 9x - 7 = 180
Group the similar numbers together.
13x -2 = 180
13x = 182
x = 14
Plug x in to 2x + 17
14*2 + 17 = 45
mX = 45 degrees
Answer:
m∠X = 45°
Step-by-step explanation:
All angles in a triangle add up to 180°
2x - 12 + 2x + 17 + 9x - 7 = 180
13x = 180 - 17 + 12 + 7
13x = 182
x = 14°
m∠X = 2x + 17
sub x = 14° into m∠X
2(14) + 17
m∠X = 45°
Hey! Could anyone solve this problem for me in a step-by-step explanation? If so, thank you! (ASAP!!)
Answer:
-8/15
that's it
Step-by-step explanation:
i cant explain
Answer:
option d
Step-by-step explanation:
[tex]\frac{4}{9}[/tex] ÷ [tex]-\frac{5}{6}[/tex]
take reciprocal of -5/6, [when you take reciprocal, the '÷' sign will become '×' sign]
⇒ [tex]\frac{4}{9}[/tex] × [tex]-\frac{6}{5}[/tex]
⇒ 4 × -6 / 9 × 5
⇒ [tex]-\frac{24}{45}[/tex]
⇒ [tex]-\frac{8}{15}[/tex]
therefore, option d is the correct option
Can someone plz help me
Answer:
D)
Step-by-step explanation:
Express each ratio as a fraction in the simplest form
12 blue cars out of 48 cars
Consider that x = 5 and y = 7. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational.
Answer:
The answer is 12
Step-by-step explanation:
because 7 plus 5 is 12
What is the measure of angle ABC?
A. 130
B. 40°
C. 85°
D. 170
Answer:
what is the shape and can I have a pic of what it looks like
C.85 espero ter ajudado
hii, this geometry, please help haha!!
Answer:
its 6
Step-by-step explanation:
(16x+5) = 1
50 - 45 = 5
5+1=6
Answer:
x=5
Step-by-step explanation:
since both triangles are equivalent then both given angles add up to 95. So to find x you would see what value makes it equal 85 when it's plugged in to equal 180 in total.
16(5)+5=85+95=180
HELP ME ASAP YOU GET 10 POINTS
Answer:
domain 12
range 24
brainliest?
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?
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2. through: (8,5), perpendicular to y=-1/2x +4