Answer:
The toy rocket will return to the ground at 8.44 seconds
Step-by-step explanation:
The height h of the toy rocket launched vertically as a function of the time t is given by:
[tex]h(t)=-16t^2+135t[/tex]
The rocket will return to the ground when h=0:
[tex]-16t^2+135t=0[/tex]
Factoring:
[tex]t(-16t+135)=0[/tex]
There are two solutions:
t=0, t = 135/16 = 8.4375
The first solution corresponds to the moment the toy rocket was launched, the second is the time taken by the rocket to return to the ground.
The toy rocket will return to the ground at 8.44 seconds
find the equation of the line shown
Answer:
y=2x
Step-by-step explanation:
Answer:
y = 2x
Step-by-step explanation:
y intercept = 0
slope = rise/run
rise = 2
run = 1
2/1=2
slope is 2
Find the missing side using the pythagorean theorem.
9 in
12 in
x =
Answer:
225 in
Step-by-step explanation:
Which equation applies the associative property of multiplication?
(−12⋅47)+(−12⋅23)=−12⋅(47+23)
−65−(53−14)=(−65−53)−14
(−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57
89⋅74⋅(−58)=89⋅(−58)⋅74
Answer:
the 2nd one
Step-by-step explanation:
Answer:
The answer is C. (−94⋅32)⋅(63⋅57)=−94⋅(32⋅63)⋅57
Step-by-step explanation:
I took the K12 test
f(x)=2(x-5)^{2}-8
graph equation
find vertex, root, and y-intercept
Answer:
Vertex: (5,-8)
Root: (3,0) and (7,0)
Y intercept: (0,42)
Step-by-step explanation: 2(x-5)^2 -8 graphed
-x-2y for x = -5 and y=5
please explain how you got answer
so I can understand it thanks
Answer:
‒5
Step-by-step explanation:
‒x‒2y=‒(‒5)‒2(5)
=5‒10
=‒5
i hope it helps you
Answer:
-(-5)-2(5)
negative wih negitive will become positive so
-(-5) become positive 5 andwhen when we multiply negative and positive we get negative so -2(5) become -10 so finally 5-10=-5 thank you!!
Farmer Jane has many hens that have laid many eggs. Before the eggs hatch, Jane wants to
count how many eggs are blue, how many are brown, and how many are white.
Jane counts that, of all the eggs, 6 are blue and 25% are brown.
If 10% of the eggs are blue, how many of the eggs are white?
a) 15
b) 21
c) 39
d) 65
Answer:
The correct option is;
c) 39
Step-by-step explanation:
The given information are;
The number of eggs that are blue = 6
The percentage of eggs that are brown = 25%
The percentage of eggs that are blue = 10%
Let the number of eggs Jane has = X
Therefore;
10% of X = 10/100 × X = 6
X = 6 × 100/10 = 60
The number of eggs Jane has = X = 60
The percentage of the eggs that are white eggs = 100 - (The percentage of eggs that are brown + The percentage of eggs that are blue)
The percentage of the eggs that are white eggs = 100 - (10 + 25) = 65%
The percentage of the eggs that are white eggs = 65%
∴ The number of eggs that are white = 65% of X = 65/100 × X= 65/100× 60 = 39 eggs
The number of eggs that are white = 39 eggs.
I need help. Plzzzzz ASAP
Answer:
y=-1/3x+1
Step-by-step explanation:
you can also use desmos.
It's a graphing calculator
need help with solving equations
PLZPLZPZLZPZLZPZLZPZPPPZZLZP HELP ME WILL NAME BRINLY
Suppose J is between H and K. Use the Segment Addition Postulate to solve for x. Then find the length of each segment.
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
b) Write an equaation using the segment addition postulate that will help you solve the problem
____+_____=____
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) _____=______
d)
x= __
HJ=__
JK=__
HK=__
Answer:
x= 17
HJ= 27
JK= 153
HK= 180
Step-by-step explanation:
If HJ=x+10
JK=9x
KH=14x−58
a) Draw a sketch of the segments described above
Find attached to this answer the diagram of the sketch of the segments described above
b) Write an equation using the segment addition postulate that will help you solve the problem
HJ + JK = KH
x + 10 + 9x = 14x - 58
c) combine like terms ( x terms on one side of the equal sign and numbers in the other side of the equal sign) x + 10 x + 10 + 9x = 14x - 58
10 + 58 = 14x - x -9x
68 = 14x - 10x
68 = 4x
x = 68/4
x = 17
d)
x= 17
HJ= x + 10
= 17 + 10
= 27
JK= 9x
= 9 × 17
= 153
HK=14x −58
HK = 14 × 17 - 58
= 238 - 58
= 180
Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile driven. Company B charges an initial fee of $80 for the rental plus $2 per mile driven. Let AA represent the amount Company A would charge if Piper drives xx miles, and let BB represent the amount Company B would charge if Piper drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.
Answer:
An equation for each situation, in terms of x
A = 35 + 3x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
Step-by-step explanation:
Let A represent the amount Company A would charge if Piper drives x miles
Let B represent the amount Company B would charge if Piper drives x miles.
Company A charges an initial fee of $35 for the rental plus $3 per mile driven.
A= $35 + $3 × x
A = 35 + 3x
Company B charges an initial fee of $80 for the rental plus $2 per mile driven.
B = $80 + $2 × x
B = 80 + 2x
The interval of miles driven x, for which Company A is cheaper than Company B.
= A < B
35 + 3x < 80 + 2x
3x - 2x < 80 - 35
x < 45 miles
That is: any number of miles driven below 45 miles makes Company A cheaper than Company B
The interval of miles driven x, for which Company A is cheaper than Company B is 0 to 44.9 miles.
Write the equation of the line in point-slope form with a slope of 5/2 and passing through the point (0,1).
Answer:
y = 5/2x + 1
Step-by-step explanation:
you are given (0,1) which means that the y intercept is 1.
Subsitute values in a linear equation:
y = mx + b
y = 5/2x + 1
A standard paper clip is 1
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?
Answer
75 inches
Explonation
To find the answer, you should multiply 1 by 75
Jackson wants to attend a 2-year technical college that costs $7,200 per year. His parents plan to contribute 50% of his tuition each year. Jackson wants to save money while working at his summer job for the next 2 years. How much will he need to save each summer in order to have enough money for his first year's tuition?
Answer:
$3600Step-by-step explanation:
Given
Collège cost=$7,200
Collège cost for 2 years= $7,200x2=$14400
50% of the cost cost for 2 years= $7,200
So for the remaining $7,200 Jackson will need to sort it himself for the next two years
So that per year he must save 7200/2= $3600
17/3 as a converted fraction mixed numbers
Answer:
5 2/3 you can't convert it to a fraction of the answer would be 17/3 because nothing can be done.
Step-by-step explanation:
help me please i need help!!!!!!!!!!!!!!!!!!!!!!
Answer: 3 pieces
Step-by-step explanation:
Find the missing numbers:
X² + 9x + 14 = (x + 2)(x + ?)
A seamstress was hired to make band uniforms for Hinsdale High school. The seamstress bought 148 yards of material. There were 16 students in the concert band and 20 students in the symphonic band. How much material did she have for each uniform?
A. 36/9 yards
B. 37/9 yards
C. 35/9 yards
D. 38/9 yards
Answer:
No estoy seguro, intenta preguntarle a tu profesor
Step-by-step explanation:
The seamstress had 37/9 yards of material for each uniform.
What is division?In mathematics, division is a process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made.
How to solve it?Given that total amount of material = 148 yards
number of students in the concert band = 16
number of students in the symphonic band = 20
Total number of students = number of students in the concert band + number of students in the symphonic band
= 16 + 20 = 36
For 36 students, there are 148 yards of material.
Then for 1 student, there are 148/36 = 37/9 yards of material.
Therefore the seamstress had 37/9 yards of material for each uniform. So, option B is correct.
Learn more about division here -
https://brainly.com/question/14692277
#SPJ2
What is 5555+2929472
Answer:
2935027
Step-by-step explanation:
Tyree rented a bike for a $4 fee,plus $9 per hour.Tyree spent exactly $31.What is the total number of hours that Tyree rented the bike ?
Answer:
Tyree has spend 3 hours on the bike.
Step-by-step explanation:
For starters, he has already paid $4 to ride the bike. For each hour, $9 would be added to the $4; for example:
$4 + $9/hr
$13 after an hour + $9
$22 after 2 hours + $9
$31 after 3 hours.
3/4 divided by 2??????
Answer:
3/8
Step-by-step explanation:
3/4 / 2/1
3/4 * 1/2=3/8
3/8
Answer:
[tex]\frac{3}{8}[/tex]
I hope this helps!
A town’s population went from 35,000 to 42,000 in 3 years. What was the percent of change?
Can sum1 help me
Answer:
The population changed by 20% in 3 years
Step-by-step explanation:
The percentage change, is given by the following equation;
[tex]Percentage \ change = \dfrac{Final \ value - Initial \value }{Initial \ value} \times 100[/tex]
The given parameters are;
The initial population of the town = 35,000
The final population of the town = 42,000
The percentage change in the population is therefore;
[tex]Percentage \ change \ in \ population= \dfrac{42,000 - 35,000 }{35,000} \times 100 = 20 \%[/tex]
The population changed (increase) by 20% in 3 years.
find the scale factor of the dilation
Step-by-step explanation:
The scale factor of the dilation determines how much larger or smaller the image will be (compared to the original object). when the absolute value of the scale factor is greater than one, an expansion occurs.
Find the value of x in this equation.
3/4(6x+1)-3x=1/4(2x-1)
Answer:
x = -3 1/4
Step-by-step explanation:
3/4*6x= 4.5x
3/4*1=3/4
4.5x-3x=1.5x
1.5x+3/4=1/4(2x-1)
1/4*2x=1/2x
1/4*-1=-1/4
1.5x+3/4=1/2x-1/4
-1/2x -3
x= -3 1/4
Answer:
x=-1
Step-by-step explanation:
3/4(x+1)=1/4(-1)
2/4(x+1)=-1
x+1=-2/4
Hailey went to Farmer's Market and bought 134 pounds of coffee at $13.00 per pound and 812 pounds of rice at $0.45 per pound. If Hailey paid for her purchase with a $50.00 bill, how much change did she receive?
A
$22.75
B
$23.42
C
$26.58
D
$76.58
Answer: B
. $23.42 is your answer
Hailey went to Frank’s Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 per pound. If Hailey paid for her purchase with a $50 bill, how much change did she receive?
Answer:
$23.43
Step-by-step explanation:
First, you need to find the total amount she needs to pay for the items she purchased:
1 3/4=1.75
8 1/2=8.5
Total purchase=(1.75*$13)+(8.5*$0.45)
Total purchase=22.75+3.82
Total purchase=26.57
No, you need to subtract the total amount you have to pay for your purchase from $50:
$50-$26.57=$23.43
According to this, the answer is that she received $23.43 as change.
Answer: B- $23.43
Step-by-step explanation:
First, you need to convert:
1 3/4=1.75
8 1/2=8.5
Total purchase- (1.75 x 13) + (8.5 x 0.45) = 22.75 + 3.82 = 26.57
Now you need to subtract the total amount you have to pay for your purchase from the $50.
50 - 26.57 = 23.43!
In a poll, students were asked to choose which of six colors was their favorite. The circle graph shows how the students answered. If 15000 students participated in the poll, how many chose Orange? Orange-45%
I need the answer as soon a possible
Answer:
6750
Step-by-step explanation:
divide the total by 100%
15000÷100%=150
and sense you need the 46% you just multiply
150×46%=6750
3/4x=2 pls help asap
Answer:
x=8/3
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer: x = 8/3
Step-by-step explanation:
Movie tickets for an adult and 3 children cost 20 dollars. An adult ticket cost 2 dollars more than a child's ticket.
1.Write and equation
Answer:
a + 3c = 20
Step-by-step explanation:
1. Define the variables
Adult = a, child = c
a = 2 +c
2. Get the equation.
a + 3c = 20
Pls help asap
i am timed
Answer:
1 or 0/16 or 1/16
Step-by-step explanation:
Combine like terms.
C + f + 2f +3C + S + S + 20
Do not add any spaces to your answer.
Answer:
4c + 3f + 2s + 20
Step-by-step explanation:
[tex]c + f + 2f + 3c + s + s + 20[/tex]
[tex]4c + 3f + 2s + 20[/tex]
A family budgeted 28% of their monthly income to take a family vacation.
What fraction of the family's budget was spent on the vacation?
7/250
1/28
7/25
2/8
Answer:
7/25
Step-by-step explanation:
The answer is simple. It's a simplified fraction of 28%, or 28/100.
