Answer:
92.18 feet
Step-by-step explanation:
t(n)=125(.97)^x
t(10)=124(.97)^10
Sequence cant have partial or discrete bounce
Answer:
92.18 ft
Step-by-step explanation:
The rebound ratio 0.97 means the ball will rebound 97% of its height on the previous bounce.
Bounce Height
1 125(0.97) = 121.25
2 125(0.97)(0.97) = 117.6125
3 125(0.97)(0.97)(0.97) = 114.084125
See a pattern?
Bounce Height
1 125(0.97)
2 125(0.97)^2
3 125(0.97)^3 the exponent matches the bounce number
Tenth bounce:
10 125(0.97)^10 = 92.18 (rounded to 2 places)
The Monument in Santiago measures 175 meters. A child measures 87.5 centimeters. How much is the Monument taller than the child?
Answer:
The Monument is taller than the child by 174.125 meters
Step-by-step explanation:
The Monument in Santiago measures 175 meters. A child measures 87.5 centimeters.
Step 1
Convert child's height to meters
100cm = 1 m
87.5 cm = x
Cross Multiply
100cm × x = 87.5 cm × 1m
x = 87.5 cm × 1m/100cm
x = 0.875m
Step 2
How much is the Monument taller than the child?
This is calculated by subtracting Child's height from Monument height
= 175 m - 0.875m
= 174.125 m
Therefore, the Monument is taller than the child by 174.125 m
Which line is parallel to the line y= x + 7 ?
Answer: y=x+
Step-by-step explanation:
In order for two lines to be paralell, their slopes must be the same but their y intercepts must be different. Therefore, any line that looks like y=x+ (anything but 7) will be paralell.
help me answer the last question
Please solve 6 - 3x = 14
Answer:
Step-by-step explanation:
Answer:
X= -8/3
Step-by-step explanation:
Trey bought 3 and 3 fourths pounds of apples from the grocery store. Corinne bought 1 and 1 third pounds of grapes from the grocery store. How many more pounds of fruit did Trey buy
Answer: 2 5/12
Step-by-step explanation:
Trey bought 3¾ pounds of apples from the grocery store. Corinne bought 1⅓ pounds of grapes from the grocery store.
To know how many more pounds of fruit that Trey bought, we have to find the difference between the value given above and this will be:
= 3¾ - 1⅓
= 3 9/12 - 1 4/12
= 2 5/12
Trey bought 2 5/12 pounds more.
Part A: Mike wants to join a gym. He has to pay an initiation fee of $16 and equal monthly payments for the year. The most he wants to pay is $580 for the year for his gym membership. a.) Write an inequality that you can use to determine the most he would want to spend for his monthly payments.
Part B: Now use your inequality from 15a to determine how much Mike’s monthly gym payment can be if the most he wants to pay is $580 for the year for his gym membership..
Answer:
Part A: [tex]12x+16\leq 580[/tex]
Part B: $47 per month
Step-by-step explanation:
Part A: 12 months in a year. Pays x amount of $ per year, with an additional $16 initiation fee. He wants to spend less than $580 total a year. Thus, [tex]12x+16\leq 580[/tex].
Part B: Solve the inequality for x.
$580 - $16 = $564
x = $564/12 = $47
Hope this helps! :)
26. If you know the lengths of two sides and the measure of _____ angle(s) of a right triangle, you can find the measure of the other two angles and the length of the other side.
Answer:
1
Step-by-step explanation:
For any triangle, you only need to know 3 pieces of information out of the 6 angles and sides to solve for the rest of the triangle.
A 16 oz package of brown rice costs 79 cents and a 32 oz package of
brown rice costs $2.09. Which package is a better deal?
I have to get this done by tonight please help me!!
Answer:
The 16oz is a better deal
Step-by-step explanation:
32 = 2 * 16
buying 2 packages of 16 oz cost
0.79 * 2 = 1.58
1.58 < 2.09
The 16oz is a better deal
Answer:
The 16 oz package.
Step-by-step explanation:
Make the 16 oz a 32 oz so we can compare the prices
Mutiply 0.79 X 2 = 1.58
The 16 oz is because you can buy it twice making it a 32 oz for less than the orginal 32 oz.
(Compared side by side)
2.09 > 1.58
hope this helped!
A ladder is leaning against a building. Find the height at which the ladder is touching the building
Answer:
13.9 ft
Step-by-step explanation:
Since the triangle is a right triangle we can use pythagoreom theorm.
16^2=8^2+a^2 (a is the unknown side)
256= 64+a^2
192= a^2
Square root both sides and you get around 13.9 ft
What us the y-intercept of the function described in the table
Answer:
10
Step-by-step explanation:
Find the missing length. The triangles in each pair are similar.
A. 17
B. 16
C. 11
D. 13
Geometry questionnn!
Answer:
88 units
Step-by-step explanation:
[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]
BR || WN (Given)
Therefore,
[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)
[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)
[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)
[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)
[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]
[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]
[tex] \therefore OR =\frac{4\times 56}{7} [/tex]
[tex] \therefore OR ={4\times 8} [/tex]
[tex] \therefore OR =32 [/tex]
RN = OR + ON
RN = 32 + 56
RN = 88 units
After takeoff, a plane flies in a straight line for a distance of 4000 feet in order to gain an altitude of 800 feet. Find the angle of elevation from the ground to the plane.
Need help please, thank you!
Answer:
The angle of elevation from the ground to the plane is 11.5 degrees
Step-by-step explanation:
Given -
Horizontal distance from the point of takeoff to which the plane flies in a straight line = 4000 feet
The vertical distance travelled from the ground to the plane is 800 feet
Angle of Elevation
[tex]Sin X= \frac{800}{4000} \\X = Sin^{-1}\frac{800}{4000}\\X = 11.5[/tex]
The angle of elevation from the ground to the plane is 11.5 degrees
please i’m trying to help my gf work i’m in 8th i’ll give you brainliest
Take a better pic and i will explain in comment
Answer:
here is ur answer.....
hope it helped u and ur gf......
Lesson 6 Homework Practice Select an Appropriate Display
Please help FIND DB.....
1. Put the following numbers in order from least to greatest. 0.8, 1/10, 3/100, 0.91
2. Put the following numbers in order from least to greatest. 0.9, 0.35, 11/100, 7/10, 0.6, 0.21
3 Put the following numbers in order from least to greatest. 36/100, 0.2, 1/10, 8/100, 0.5, 0.44
PLEASE HELP ITS DUE IN 10 MINUTES
Answer:
0.8,0.91,1/10,3/100
0.6,0.9,0.21,0.35,7/10,11/100
0.2,0.5,1/10,0.44,8/100
Step-by-step explanation:
Answer:
0.8,0.91,1/10,3/100
0.6,0.9,0.21,0.35,7/10,11/100
0.2,0.5,1/10,0.44,8/100Step-by-step explanation: IVE DONE THIS BEFORE TOO
In the diagram below of triangle GHIGHI, JJ is the midpoint of \overline{GI} GI and KK is the midpoint of \overline{HI} HI . If JK=-21+9xJK=−21+9x, and GH=-2x+18GH=−2x+18, what is the measure of \overline{GH} GH ? G H
Answer:
25.5
Step-by-step explanation:
2( -21+9x)=2x+18
-42+18x=2x+18
+42 +42
18x=2x+60
-2x -2x
16x=60
60/16=3.75
x=3.75
GH=2x+18
2(3.75)+18
7.5+18=25.5
GH=25.5
Customer- I recently saw an advertisement that said your company would give 5% discount to anyone who enrolls in your automatic payment plan, my monthly bill is $75 how much will I save if I enroll?
Answer: $3.75
Step-by-step explanation:
The amount that you would save is 5% of your monthly bill of $75.
This amount is:
= 75 * 5%
= $3.75
The total amount that you would pay is:
= 75 - 3.75
= $71.25
Connor makes 3 batches of muffins . Each batch has 12 muffins . Connor eats 2 muffins . What is m, the number of muffins Connor has left
could somebody answer both?
1. Our new computer is 3 times faster than our old one. How fast is the new computer?
2.A geology kit costs $85. Sophia has $25 and plans to save $5 a week until she can pay for the kit. How many weeks will it take before she can buy the geology kit?
Answer:
1. 3x faster
2. 12 weeks
Step-by-step explanation:
(85-25)/5=12
In which choice is
not a function of x?
A(2, -3), (-2, 3), (3,-2), (3, 2)
B. (2, 3), (3, 4), (-4, 5), (-5, 6)
c. (3,-2), (3, 2), (3, 3), (2, 2)
D. (1, 1), (1, 2), (2, 3), (3, 4)
Margaret and Bethany have a lemonade stand for one week each summer.
Each day they spend $1.50 on the ingredients necessary to make 20 cups
of lemonade. They sell each cup of lemonade for $0.25. How much do the
girls, after expenses, earn on a day that they sell 18 cups of lemonade? *
$6.00
$4.50
$3.50
$3.00
Answer:
6.00
Step-by-step explanation:
Find f(-5) if f(x) = x+ 11.
06
05
04
1 ÷ 1/4 what does that equal
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
URGENT!!!!!!
Dan's car depreciates at a rate of 17% per year.
By what percentage has Dan's car depreciated after 4 years?
Give your answer to the nearest percent.
Answer:
an=yearn−year−0.17n+0.34
Step-by-step explanation:
Answer:
68%
Step-by-step explanation:
17% × 4
68%
If the discriminant of an equation is positive, which of the following is true of the equation
A it has one complex solution
B it has one real solution
C it had two real solutions
D it has two complex solutions
Answer:
C it has two real solutions
Step-by-step explanation:
If the discriminant of a quadratic equation is positive, it means that the graph intersects the x-axis, and hence produces two real solutions.
If the discriminant is zero, then the graph is tangential to the x-axis, and there will be two real coincident solutions.
If the discriminant is negative, then there are two complex solutions.
Answer:
C
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!!
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9kg weighs 63 N . Find the weight of an object whose mass is 5kg.
Answer:
35
Step-by-step explanation:
9Kg =63N
5Kg=X (Cross Multiple)
=X×9 =5×63
divide both sides by 9
X=5×63
---------
9
=35
Answer:
35 N
Step-by-step explanation:
let w = weight of object
and m = mass of object
w = mk where k is the constant of proportion
63 = 9k
k = 7
So, w = 7m
w = 7(5) = 35 N
How many milliliters equal to 8.25 liters 
Answer: 8,500
Step-by-step explanation:
Answer:
8250 mL
Step-by-step explanation:
Multiply the volume value by 1000
4. What is the value of x in the equation 512x3 = 8?
A 3/4
B 3 1/4
C 4
D 1/4
Answer1/4 hope this help
Step-by-step explanation: