A ball is thrown from the top row of seats in a stadium. The function h(t)=-16t2+48t+160 gives the height, t, in feet, of the ball t seconds after it is thrown. How long will it be before the ball hits the ground?
Answer:
t = 5 s
Step-by-step explanation:
The function that gives the height in feet of the ball t seconds after it is thrown is :
[tex]h(t)=-16t^2+48t+160[/tex]
We need to find how long will it be before the ball hits the ground. When it hits the ground, its height will be equal to 0.
So,
[tex]-16t^2+48t+160=0[/tex]
We need to solve this equation. When we solve, we get its solution as shown in the figure. We can see that t = -2 s and t = 5 s.
t = -2 s is not possible.
Hence, the ball will hit the ground before 5 seconds.
What rule would you use to translate a triangle 4 units to the right?
Answer:
here is what i found also you could of looked it up
Step-by-step explanation:
(x,y)→(x+4,y)
Tickets to the zoo cost $12 for adults and $8 for children. The school has a budget of $240 for the field trip. An equation representing the budget for the trip is 240=12x+8y. Here is a graph of this equation:
Answer:
18 children
Step-by-step explanation:
Given
[tex]240 = 12x +8y[/tex]
Required (missing part of the question):
Number of children that will be able to go to the zoo if 8 adult tickets are purchased
The graph is missing. However, the question can be solved without the graph.
From the question and equation, we can deduce the following:
x represents adultsy represents childrenSo, when 8 adult tickets were sold.
This means
[tex]x = 8[/tex]
Substitute 8 for x in [tex]240 = 12x +8y[/tex]
[tex]240= 12 * 8 + 8y[/tex]
[tex]240= 96+ 8y[/tex]
Subtract 96 from both sides
[tex]240 - 96 = 96 - 96 + 8y[/tex]
[tex]144 = 8y[/tex]
[tex]8y = 144[/tex]
Solve for y
[tex]y= \frac{144}{8}[/tex]
[tex]y= 18[/tex]
This means that 18 children will be able to go
16.0 grams of food contain 130 calories. How many grams of food would you need in order to consume 2150 calories?
Answer:
you can set up a proportion
16.0/130 = x/2150
by cross multiplying you get
130x = 34400
divide by 130 and get
x-264.62
please please please help its due today
Answer:
The answer is letter B..
nvm okay lol
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A softball team has 12 girls on it. The coach needs to arrange 9 girls for the batting order. If the lineup is selected at random, what is the probability that you will be the lead-off batter (the first person to bat)?
Answer: P = 1/12 = 0.083
Step-by-step explanation:
Out of the 12 girls, there will be only one that is the lead-off batter.
we can assume that this is the first being selected at random, then the probability that you will be the lead-off batter, is equal to the quotient between 1 (the outcome where you are selected) and 12 (the total number of outcomes)
Then the probability is:
P = 1/12 = 0.083
The fact that there will be an arrange of only 9 girls does not affect the probability of you getting the position of the lead-off batter.
simplify (-45) ÷ (-9)
The answer is 5. Because all you have to do is just divide -45 by -9.
What's 3 5/6 divided by 3 3/4 in Simplest form
Answer:
= 1 1/45
Step-by-step explanation:
3 5/6 / 3 3/4
23 / 15
6 4
23 x 4 = 92
6 15 = 90
= 46
45
= 1 1/45
1/2 (x − 50) = 2 + 5x
X=
Answer:
x=−6
Step-by-step explanation:
Answer:
X=-6
Step-by-step explanation:
nooooooooo tyyyyyyyyy sorry but like i did it on a piece of paper and theres no way im going to write all that on heeereeee
Can someone help me plz?!?!? The real answer too
Solve for x:
(-3/2)x-9=-27
- 24
-12
11
12
i love these kind of questions :D
okay so lets write our problem down 1st:
(-3÷2)x-9=27
okay so you take one of your answers lets do A 1st and put is as x like this:
(-3÷2)-24x(-9)=27 now solve:
(think of PEMDAS)
P = perenthesis
E = exponents (which you dont have in this problem)
M = multiply
D = divide
A = add
S = subtract
do perenthesis 1st which would be (-3÷2)
(-1.5)-24x(-9)
now multiply 24x(-9)
(-1.5)-216 = (-214.5) does it equal -24 (which was what you plugged in for x)
no it doesnt so A cant be your answer. now do it for the rest of your answers :D
After 12:00, the number of people in Mal-Wart
grows steadily until 6:00p.m. If the equation
y= 228 + 58x represents the number of people in
the store x hours after 12:00, how many people
were in the store at 12:00?
Answer:
228
Step-by-step explanation:
substitute 0 for x
just help please, im the NOT smartest
Answer: 3/7
The slope is the same.
literally i need help, khan academy is not helping!!
Answer:
Top = 1588.86
Bottom = 125.66
Top
7 * π * 8.5^2 = 1588.86
Bottom
10 * π * 2^2 = 125.66
find the coordinates of point which divides the line segment joining the points (a+b,a-b) and (a-b,a+b) in the ratio 3:2 interally
Answer:
Coordinate of 0 = [tex]\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)[/tex]Step-by-step explanation:
Let AOB be the line segmentPoint 'O' divides the line segment into m:n = 3:2Given:
Coordinate of a = (a+b, a-b)Coordinate of b = (a-b, a+b)Ratio = 3:2ToFind:
Coordinate of 0 (zero)Solution:
ATQ,
[tex]\dfrac{m}{n}=\dfrac{3}{2}[/tex]Coordinate of a = (x[tex]_{1}[/tex], y[tex]_{1}[/tex])Coordinate of b = (x[tex]_{2}[/tex], y[tex]_{2}[/tex])As we know that,
[tex]\implies\:\:x = \dfrac{mx_{2} + nx_{1}}{m + n}[/tex]
[tex]\implies\:\:x = \dfrac{(a-b)3 + (a+b)2}{3+2}[/tex]
[tex]\implies\:\:x = \dfrac{3a - 3b + 2a + 2b}{5}[/tex]
[tex]\implies\:\:\red{x = \dfrac{5a - b}{5}}[/tex]
Similarly,
[tex]\implies\:\:y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
[tex]\implies\:\:y = \dfrac{(a+b)3+(a-b)2}{3+2}[/tex]
[tex]\implies\:\:y = \dfrac{3a+3b+2a-2b}{5}[/tex]
[tex]\implies\:\:\red{y = \dfrac{5a+b}{5}}[/tex]
Hence,
Coordinate of 0 is [tex]\blue{\bigg( \dfrac{5a-b}{5},\:\dfrac{5a+b}{5}\bigg)}[/tex]
find the gcf and use it to reduce 36/63
Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
The greatest common factor of 36 and 63 is 9.
Thus, [tex]\frac{36}{63}[/tex] = [tex]\frac{4}{7}[/tex] since (36 ÷ 9 = 4) and (63 ÷ 9 = 7).
Answer:
4/ 7
Step-by-step explanation:
you list the factors of each number so factors of 36 are 1 2 3 4 6 9 12 18 36 and factors of 63 are 1 , 3 , 7 , 9 , 21 and 63 as the highest common factor in each number is 9 you do 36 ÷ 9 = 4 which will be the numerator and 63÷ 9 = 7 which will be the denominator so the simplest form of 36/63 is 4/7
Who's is the faster runner? Raj can run 1 1/3 laps in 1/4 of an hour. Yvonne can run 4 1/2 laps in 7/8 of an hour.
Multiply using the distributive property (X+4)(X^2+6x-3)
Answer:
x^3 + 10x^2 + 21x - 12
Step-by-step explanation:
(x + 4)(x^2 + 6x - 3)
you can separate to make it easier for u
x(x^2 + 6x - 3) + 4(x^2 + 6x - 3), this is optional u don't have to do this part
x^3 + 6x^2 - 3x + 4x^2 + 24x - 12
add like terms together
x^3 + 10x^2 + 21x - 12
A recipe for blueberry muffins states that it yields 12 muffins, with 270 calories per muffin. You instead decide to make
mini-muffins, and the recipe yields 20 mini-muffins. If you eat 7 mini-muffins, how many calories will you consume?
Answer:
The calories you will consume are 1134 calories
Step-by-step explanation:
Let us solve the problem
∵ A recipe for blueberry muffins states that it yields 12 muffins, with 270
calories per muffin
→ Find the total calories of the 12 muffins
∴ The total calories of them = 12 × 270
∴ The total calories of them = 3240 calories
∵ You instead decide to make mini-muffins, and the recipe yields 20
mini-muffins
→ That means the same amount of calories are in 20 mini-muffins, to find
the calories of each one divide the total amount of calories by 20
∵ The calories per mini-muffin = 3240 ÷ 20
∴ The calories per mini-muffin = 162 calories
∵ You will eat 7 mini-muffins
∴ The calories you consume = 7 × 162
∴ The calories you will consume = 1134 calories
Pls answer a and b!!!!!
Answer:
a) the answer is 2/21
b) the answer is 6
1. What is the value of x in this equation?
3x + 5 = -22
Answer:
-9
Step-by-step explanation:
3x+5=-22
-5 -5
3x=-27
--------
3 3
x= -9
PLEASE HELP
Write the equation of the line that is perpendicular to y = 3x - r and that has the same y - intercept .
WILL MARK BRAINLIEST
Answer:
y= -(1/3)x -r
Step-by-step explanation:
a perpendicular line has the slope of the line that it's perpendicular but its the negative reciprocal of it. So for ex: line 1 = 2x then the line perpendicular to it is -1/2x.
In this case, the slope is 3x. The line perpendicular to it therefore, should be -1/3x.
The problem states the line has the same y-intercept so it has to still be -r.
So the equation of the line perpendicular to y=3x-r with the same y-intercept is y=-(1/3)x -r
what is 37 1/4 x 24 Please help!! im doing it for math!
Answer: 894
Step-by-step explanation:
since u made me get it wrong u have to do this
Answer:
b and d
Step-by-step explanation:
Answer:
B and D are the correct answers.
Step-by-step explanation:
A and C are both wrong because we are not dividing 12 by 13, we are dividing 13 by 12.
B and D are corect because we are dividing 13 by 12, not 12 by 13.
6d/2d-1 = 2d
Answer ?
dkjdjdjdbfnfjrjjrjjrjrd
HELP!!!!! DONT KNOW HOW TO DO THIS
Answer:
They are complementary angles.
Step-by-step explanation:
62° + 28°
= 90°
A cone has a height of 15 meters and a radius of 13 meters. What is its volume?
Answer:
V≈2654.65m³
Step-by-step explanation:
Answer:
Volume (V) = 2,654.645792
Step-by-step explanation:
Hope that helps and please give me brainliest!!
Question 6 of 14
Use the commutative property of addition to rewrite 3*5*7
Which expression is equivalent?
A. (3 * 5) - 7
B. 3+5+6
C. 3+7+5
D. 3(5 + 7)
SUBMIT
Can someone help me? It's urgent!! Whoever answer correctly will get brainliest!
Answer:can i get brainiest anyway
Step-by-step explanation:
Answer:
If I assign each bullet a letter, it is A, B, and D
Step-by-step explanation:
Approximately how many strides does it take to complete a marathon?
Choose 1 answer:
Answer:
Step-by-step explanation: