The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function
It will take 5 seconds for the coin to hit the ground
How to determine the time the nickel hits the ground?
The function is given as:
[tex]y = -5t^2 + 125[/tex]
When the nickel hits the ground, the value of the function is:
y = 0
So, we have:
[tex]-5t^2 + 125 = 0[/tex]
Subtract 125 from both sides
[tex]-5t^2 =- 125[/tex]
Divide both sides by -5
[tex]t^2 =25[/tex]
Take the square root of both sides
[tex]t = 5[/tex]
Hence, it will take 5 seconds for the coin to hit the ground
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Evelyn needs to order some new supplies for the restaurant where she works. the restaurant needs at least 309 forks. there are currently 226 forks. if each set on sale contains 10 forks, what is the minimum number of sets of forks evelyn should buy?
Answer:
She needs to buy at least 9 sets of forks to have enough
The number of sets of forks Evelyn should buy is 9 if Evelyn needs to order some new supplies for the restaurant where she works.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Evelyn needs to order some new supplies for the restaurant where she works. the restaurant needs at least 309 forks. there are currently 226 forks.
Let x be the minimum number of sets of forks Evelyn should buy.
The value of x can be found as follows:
x = (309 - 226)/10
x = 83/10
x = 8.3 = 9 (because the restaurant needs at least 309 forks)
Thus, the number of sets of forks Evelyn should buy is 9 if Evelyn needs to order some new supplies for the restaurant where she works.
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After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.
Cindy's new annual premium including the discount would be given by: Option A: $504.24
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
The table given is:
Type of Insurance Coverage Coverage Limits Annual Premiums
Bodily Injury $50/100,000 $31. 75
Property Damage $25,000 $120. 50
Collision $500 deductible $275. 75
Comprehensive $100 deductible $100. 00
Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528
Discount offered to her = 4.5% of $528 = [tex]\dfrac{528}{100} \times 4.5 = 23.76[/tex] (in dollars)
The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24
Thus, Cindy's new annual premium including the discount would be given by: Option A: $504.24
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Answer:
its a
Step-by-step explanation:
need help :((((((((((((((((((((((
-59 from -100 please help
Answer:
I think the answer will be - 159
Because the number with similar sign are always added
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
pleaseeee help me solve for X.
Answer:
x-17.5
Step-by-step explanation:
angles in a triangle add to 180
3x+8+(2x-3)+5x = 180
simplify(collect like terms):
10x + 5 = 180
solve:
10x = 175
x=17.5
Kelly read 30 pages of her 300-page book in 6 hours. at this rate, how long will it take her to read the entire book?
60 hours
5 hours
6 hours
30 hours
i am in middle school.
Answer:
60 hours
Step-by-step explanation:
300 ÷ 30 = 10
10 x 6 = 60
Hope this helps :)
Answer: 60 hours
Step-by-step explanation:
30=300- times 10
6=_60_
What is the value of x?
Answer:
I would say 30
Reasoning:
Because that thing your looking at is 180% degree angle and the other side is 90%. x is small it seems to be acute and I think 2x is about 60%.
If im incorrect im terribly sorry but at least my answer wasnt bad like the 1st guys
Lena got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $27.15 left on the card, how many yards if ribbon did lena buy?
Step-by-step explanation:
To find out how much she spent:
30 - 27.15 = 2.85
Change it to cents:
2.85 x 100 = 285 cents
Calculate how many yards of ribbon she bought:
285 / 19 = 15
Therefore, she bought 15 yard of ribbon.
express the product of 0.54 and 0.35 in standard form
Answer:
First answer, 0.54 is 54% and for the second one, 0.35 is 35%
Step-by-step explanation:
1. You first mulitply the numerator by the denominator by 100 which would be 0.54 x 100 = 54
2. Once you get the answer you just add a percentage to the end of 54 which would equal 54% and thats your answer for 0.54 and to find 0.35 it is the same thing to find the percentage.
I’ll give you brainiest to who ever gets it right
Answer:
Line a is the best fit.
Step-by-step explanation:
The dots are more evenly spread across line a while with line b the dots at the bottom are far away from it. Line a passes through the center of the spread of the dots
if the length of a square is decreased by 1 unit , the area will be 8 square units.Write an equation for the area of the square
Answer:
(x-1)²=8.
Step-by-step explanation:
1) if the length before decreasing is 'x', then after decreasing it is x-1;
2) then the area is (x-1)²=8.
PS. the length before decreasing is 1+2√2.
stephen had 4 cupcakes. He ate 3/4 of one cupcake. How many does he have now?
Answer:
He has 3.25 ([tex]3\frac{1}{4}[/tex]) cupcakes left
Step-by-step explanation:
Stephen starts with 4 cupcakes
If he eats [tex]\frac{3}{4}[/tex] of 1 cupcake, he will have [tex]\frac{1}{4}[/tex] of said cupcake left
[tex]1-\frac{3}{4} =\frac{1}{4}[/tex]
Since he has 3 other cupcakes, we will add the remaining [tex]\frac{1}{4}[/tex] of the other cupcake to the total.
[tex]3+\frac{1}{4} =3\frac{1}{4}[/tex]
Hope this helped!
Triangle ABC has side lengths AB=25 units, BC=24 units, and AC=7 units. Triangle ABC is mapped to triangle A′B′C′ by a reflection across a horizontal line and translated left 12 units. What is the length of segment B′C′?
Answer:
C
Step-by-step explanation:
because yes so the 25 unit down 12 units up
Pam has ridden her new bike 7.2 miles. Dale has ridden his new bike 12.5 times as far as Pam.
How far has Dale ridden his bike? Enter your answer in the box.
Answer:
He has ridden 90 miles
Step-by-step explanation:
7.2 X 12.5 = 90
Sonia earned $2,100 at her uncle's orchard. if she worked for 70 weeks and earned the same amount of money each week, how much did she earn per week?
Answer:
30 dollars a week
Step-by-step explanation:
2100/70 is 30
Juana invests $1,500 in an account accumulating 3% interest according to the equation v = 1500(1.03), where v
represents the value of the account after y years. Marquez and Calvin invest the same amount of money at the sam
rate. Marquez invests three years before Juana, and Calvin invests two years after Juana. By what factor would
Calvin's investment need to be increased to equal Marquez's investment at any time after Calvin's investment is
made?
A.86.3%
B. 97.1%
C. 115.0%
D. 115.9%
Answer:
d 115.9
Step-by-step explanation:
The initial investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D)
How to determine the investment needed by Calvin to equal Marquez's investment at any time
In this question we must apply the concept of compound interest to derive the initial investment to be done by Calvin. According to the statement, Calvin invests money five years later than Marquez.
To determine the initial investment to be deposited by Calvin such that his investment equals Marquez's investment at any time we resort to the following expression:
[tex]1500\cdot (1+0.03)^{t+5} = C_{C}\cdot (1+0.03)^{t}[/tex] (1)
Then, we simplify the required initial investment:
[tex]C_{C} = 1500\cdot (1+0.03)^{5}[/tex]
[tex]C_{C} = 1738.911[/tex]
And the increase factor is:
[tex]r_{C} = \frac{1738.911}{1500}\times 100\,\%[/tex]
[tex]r_{C} = 115.927\,\%[/tex]
The initial investment of Calvin must be increased by a factor of 115.927 % to equal Marquez's investment at any time. (Correct choice: D) [tex]\blacksquare[/tex]
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When 3 + 3x − 5 − 8x is simplified, the result is:
-5x − 2.
-5x − 8.
-11x − 15.
6x − 13x.
Answer: -5x - 2
Step-by-step explanation:
Combine like terms: (3x - 8x) + (3 - 5) → -5x - 2 :)
FOR THE INVERSE VARIATION P- , FIND V>
WHEN P= 1/2
If 6 books costs $48, then the cost of 8 books will be
Please help with this question
Answer:
160°
Step-by-step explanation:
Minor Arc NR is equal to the measure of its central angle, S.
S and 20 are supplementary angles, so they add up to 180.
So, s +20 =180
S = 160, so NR = 160 as well
please show steps to solve the problem thank you
Answer:
65 total number of boys
Step-by-step explanation:
In the boys row there are 45 "Blue" boys and 20 "Orange" boys.
You can add these numbers up together to find the answer to this problem.
45 + 20 = 65
65 total number of boys
A, B, C, D and E lie on the circle.
AB is extended to F.
Angle AED = 140° and angle CBF = 95º.
Find the values of w, x and y.
Step-by-step explanation:
it may hint for you by this you can go easily it change for me sorry
what is the x and y intercepts for 2y = 8 - 8x
My party started at 1:30 p.m.
It lasted 2 hours, 45 minutes.
What time did the party end?
Answer:
4:15
Step-by-step explanation:
add 2 hours that is 3:30
3:30 +30=4:00
and there oly 15 min left so
its 4:15
Can someone explain how to simplify radicals? (Please leave an example) Im so confused!!
Answer:
Sure!
Step-by-step explanation:
So a radical(or a root) is the opposite of the exponent(for example square root is the opposite of the square of a number). Graphically it's not but it's more simple to think of it like that. Simplifying integer radicals is simple. For example, the square of 11 is 121, so sqr121 (√121) is equal to 11. Other radicals/powers are similar. cuberoot27= 3 because 3^3 is 27. If you add variables, the same thing happens. You can think of the √ as a funnel where only the numbers "big enough" can leave. If you have √xy^2z^3,
the x would have to stay because it's only to the first power, the √y^2 would be reduced to just y, and one pair of zs can come out resulting in z√z. The final answer to √xy^2z^3 would be yz√xz. Hope that helps :)
Please Help! will give Brainlest!
Answer:
y = 0
Step-by-step explanation:
the midline is positioned midway between the maximum and minimum values of the function.
maximum = 0.5 and minimum = - 0.5 , then
y = [tex]\frac{0.5-0.5}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0
the equation of the midline is y = 0 ( that is the x- axis )
Answer:
y=0
Step-by-step explanation:
y = 0.5−0.52\(0.5-0.5)(2)
2
0.5−0.5
= -0.02/0
= 0
The midline is y=0
Find the value of x. X=?
Volume = 1500
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Solve the following equation for x:
[tex]1500=1/3(15)^{2} x[/tex]
on every 6th day Angelique goes to the gym to exercise. every 7th day Bentley goes to the gym to exercise. what is the First day Angelique And Bentley will be at gym on the same day?
Answer:
The day that Angelique and Bentley will be at the gym on the same day is; the 42nd day.
Angelique's days:
6, 12, 18, 24, 30, 36, 42
Bentley's days:
7, 14, 21, 28, 35, 42
In conclusion, the earliest day that Angelique and Bentley will be at the gym on the same day will be, the 42nd day.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
I am doing a coordinate plane activity and i need help my teacher said it was going to be easy but to me it isn’t.
Please Help! If the triangle above is reflected over the y-axis, what is the correct coordinate for A'?
Answer:
A'(2,5)
Step-by-step explanation:
The position of point A is at (-2,5), and when you reflect it over the y-axis, you just have to switch the signs of the x-coordinate value.
Answer:
A'(2, 5)
Step-by-step explanation:
If the triangle is reflected over y-axis, the y-axis will be a symmetry line then the distance between A and y will remain the same but opposite sign which is 2 units ( -2 become 2 )