Answer:
t = ±10
Step-by-step explanation:
after using the FOIL method you have the following:
490 + 49t - 49t - 4.9t²
middle two terms zero out
h(t)= -4.9t² + 490
if you multiply by -10 you can get perfect squares
h(t) = 49t² - 4900 which has two factors: (7t + 70)(7t - 70)
now set each factor equal to zero and solve:
7t + 70 = 0
7t = -70
t = -10
7t - 70 = 0
7t = 70
t = 10
The formula m = 12,000 + 12,000rt/12t
gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years.
Explain why the formula is a rational function for a given value of r. What if you are given t?
Answer:
Keri's monthly loan payment if she gets a 5% loan for 4 years is $300
Step-by-step explanation:
Answer:
It is of the form p(x)/q(x) where p(x) and q(x) are polynomials, and g(x) does not equal 0
If r is given, it does not change the fact that there is still a variable in the denominator.
If t is given, there is no longer a variable in the denominator. The function is still rational, but the case of t being a constant, it is also linear.
Step-by-step explanation:
on edge 2021 its correct ^^
1. Find the area of the composite figure. Heellllppppp
Answer: 24
Step-by-step explanation:
Basically you just need to add the sides up to get your answer, its like breaking it up and adding simply.
The x-axis is the vertical axis.
True
False
Answer:
true truw
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
the x-axis is the horizontal axis
2/5+ 1/2 simplified
Answer:
9/10
Step-by-step explanation:
combine the fractions yk?
250 decreased by 35%
Answer:250, percentage decreased by 35% (percent) of its value = 162.5
A company claims that their new bottle holds 40% more laundry soap.
If their original container held 53 fluid ounces of soap, how much does the new container hold?
Answer:
The bottle will hold 74.2 floz
Step-by-step explanation:
53 x .4 = 21.2
21.2 + 53 = 74.2
A new version of the Medical College Admissions Test (MCAT) was introduced in spring 2015 and is intended to shift the focus from what applicants know to how well they can use what they know. One result of the change is that the scale on which the exam is graded was modified, with the total score of the four sections on the test ranging from 472 to 528. In spring 2015, the mean score was 500.0 with a standard deviation of 10.6.
Required:
What are the median and the first and third quartiles of the MCAT scores?
Answer:
The median of the MCAT scores was of 500.
The first quartile of MCAT scores was of 492.845.
The third quartile of MCAT scores was of 507.155.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The mean score was 500.0 with a standard deviation of 10.6.
This means that [tex]\mu = 500, \sigma = 10.6[/tex]
Median:
In a normal distribution, the median is the same as the mean, so the median of the MCAT scores was of 500.
First quartile:
This is the 100*(1/4) = 25th percentile, which is X when Z has a pvalue of 0.25. So X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 500}{10.6}[/tex]
[tex]X - 500 = -0.675*10.6[/tex]
[tex]X = 492.845[/tex]
The first quartile of MCAT scores was of 492.845.
Third quartile:
This is the 100*(3/4) = 75th percentile, which is X when Z has a pvalue of 0.75. So X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 500}{10.6}[/tex]
[tex]X - 500 = 0.675*10.6[/tex]
[tex]X = 507.155[/tex]
The third quartile of MCAT scores was of 507.155.
for the salad bar Jenning must divide 8 bags of lettuce equally among 3 serving bowls how many bags of lettuce would be in each serving Bowl if they were divided equally?
A. 3/8
B. 3/7
C. 2 1/3
D. 2 2/3
Answer:
[tex]Unit = 2\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]Bags = 8[/tex]
[tex]Bowls = 3[/tex]
Required
Determine the amount in each bowl
This implies that we calculate the unit measurement. This is calculated using:
[tex]Unit = \frac{Bags}{Bowls}[/tex]
[tex]Unit = \frac{8}{3}[/tex]
[tex]Unit = 2\frac{2}{3}[/tex]
Jeffrey needs $200 to buy a new iPod. Right now, he has $75. What percent of the $200 does he have?
PLEASE HELPPP
Answer:
40%
Step-by-step explanation:
Answer:
If you need help on further questions like this, divide what he has to what he needs or his goal
in order to get 37.5% you have to divide 75/ 200
You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.
GUYS please help ;)
The volume inside a rectangular storage room is 2061 feet The room is 9 feet high find the area of the floor
Answer:
The area of the floor equals 229 square feet.
Step-by-step explanation:
The volume of a rectangular storage is given by the area of the floor multiplied by the height of the room. (It follows directly from the formula of a bar.) So the area of the floor is given by the volume of the rectangular storage divided by the height of the room. In symbols: [tex]V=Ah[/tex] gives [tex]h=\frac{V}{A}[/tex]. Substituting the given gives that [tex]h=\frac{2061}{9}=229[/tex] square feet, precisely what we were asked.
Answer:
The area of the floor is 229 ft.
Alr, time to fight pico.
3, 2, 1, GO
← ↓ ↑
↓
↓
ez, thats light workkk
← ↓ ↑
↓
↓
← →
↓ ↑
← →
↓ ↑
←
↑ →
↓ →
← ↓
okok this is getting difficult
←
↓ →
↑ →
← ↑
dang i messed up but still, LOOK AT THE BAR AYYYY
lets goooo.
Answer:
niceeeeeeeeeeeeeeeee!
Step-by-step explanation:
Given f(x) = (x + 5)2, find f(9).
O A. 28
O B. 196
O C. - 196
O D. 16
given f(x)=(x+5),findf(9)
0C.-196
PLS HELP IM BEING TIMED
Answer:
c- 44
180-136
Step-by-step explanation:
pls mark brainliest :)
Answer:
c.44
Step-by-step explanation:
∠D+136=180(properties of trapezium)
∠D=44
9. To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon. How much does Sam spend on fuel? Round to the hundredths place.
Answer:
$65.52
Step-by-step explanation:
y = mx + b
y = amount spent on fuel = ?
m = price per gallon = $3.90
x = gallons = 16.8
b is not needed for this problem
y = (3.90)(16.8)
y = $65.52
The amount of money that Sam spends on fuel will be $65.52.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon.
The amount of money that Sam spends on fuel will be given by the multiplication of the numbers 16.8 and 3.9.
⇒ $3.90 x 16.8
⇒ $65.52
The amount of money that Sam spends on fuel will be $65.52.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
-2x-4=16
Show each step of your work.
Answer:
x= -10
Step-by-step explanation:
PEMDAS
First you multiply- -2x?
You don't know what x is so you subtract 4 for 16
16-4=12
2-12= -10
Tickets for Broadway show cost $50 for adults and $10 for children. The total receipts for 1510 tickets at one performance for $54,700 how many adults and how many children’s tickets were sold.
Answer:
a lot of kids and adults
Step-by-step explanation:
10 POINTS!! Select the correct answer.
Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information?
A. 0
B. 1
C. 2
D. 4
E. infinitely many
Answer:
the answer is E . infinitely many
explaination:
The answer is Infinitely because if the sides are parallel then the other two sides must be the same measurement. However, they can be any measurement they want. So the answer is infinite triangles.
Answer:
E. Infinitely many
Which statement below is always true?
The product of a number and zero is equal to that number.The product of a number and zero is equal to that number. ,
The product of two negative numbers is negative.The product of two negative numbers is negative. ,
The product of a positive number and a negative number is positive.The product of a positive number and a negative number is positive. ,
The product of two positive numbers is positive.
Answer:
the product of two positive numbers is positive.
Step-by-step explanation:
the product of a number and zero will always be zero, the product of two negative numbers is always positive, and the product of a positive number and a negative number is always going to be negative thereforew the only correct answer is the last option
Tamara wants to pour a pitcher holding 5 cups of juice into servings that are 1/3 cup in size. How many servings are possible?
Answer:
15
Step-by-step explanation:
5 x 3 = 13
15 servings are possible.
At the end of a 10-year loan, $13,570 had been paid in interest. If the initial loan amount was $23,000, find the interest rate
Answer:
5.9%
Step-by-step explanation:
Determinar el complemento del ángulo 67 grados centígrados
Answer:
spooky spooky spooky I no speak Spanish
Step-by-step explanation:
same
Line___is a transversal.
Answer:
C
Step-by-step explanation:
Line A is Parallel to Line B
Line C intersects Line A and B
Answer:
line C
Step-by-step explanation:
Given the functions =−12 (2)x+3. Select all statements that are true.
Pls hurry and help!!!!3x-2y=4
6x-2y =-2 solve the equations by using elimination show work
I hope my steps are clear to uh
Answer:
x=−2 and y=−5
Step-by-step explanation:
Solve3x−2y=4for x:
3x−2y=4
3x−2y+2y=4+2y(Add 2y to both sides)
3x=2y+4
3x /3 = 2y+4 /3 (Divide both sides by 3)
x= 2 /3 y+ 4 /3
Substitute 2 /3 y+ 4 /3 for x in6x−2y=−2:
6x−2y=−2
6( 2 /3 y+ 4 /3 )−2y=−2
2y+8=−2(Simplify both sides of the equation)
2y+8+−8=−2+−8(Add -8 to both sides)
2y=−10
2y /2 = −10 /2 (Divide both sides by 2)
y=−5
Substitute−5 for y in x=
2 /3 y+ 4 /3 :
x= 2 /3 y+ 4 /3
x= 2 /3 (−5)+ 4 /3
x=−2(Simplify both sides of the equation)
The sum of three consecutive numbers is 405. What is the
3rd numbers
Answer:
136
Step-by-step explanation:
Let the three consecutive numbers be a, a + 1, a + 2
Therefore,
a + a + 1 + a + 2 = 405
3a + 3 = 405
3a = 405 - 3
3a = 402
a = 402/3
a = 134
Third number = a + 2 = 134 + 2 = 136
Arithmetic question: You need to serve 58 people, 2 slices of pizza each. (Each pizza will be cut into 12 slices each.) (1) How many pieces of pizza do you need altogether? Identify the original improper fraction (or its reduced form) needed to solve this problem. Calculate the solution to give a mixed number answer? (2) How many pizzas do you need to order and how many extra slices will you have? Show any work needed to answer questions.
Answer:
5 order pizza
Step-by-step explanation:
12+12+12+12+12=60 I have 2 extra pizza
Which equation represents : the difference between mZCOA and mAOB in this diagram?
43°
O
Select ALL that apply
180 43
137 13
18043
180 43
Previous
which is more, 6 miles or 31,678 feet ?
Answer: 6miles
Step-by-step explanation: 6miles = 31680ft so 31680>31678
Derek used 12 pencils during school week. He now has 86 pencils How many pencils did he have at the beginning of the school week
Answer:98
Step-by-step explanation:
Do mental math if she used 12 and now has 86 then all you do is add 12 and 86 and you get 98
A fair coin is flipped 10 times and lands on heads 8 times. Why is there a difference between the experimental and theoretical probabilities of observing 8 heads in 10 coin flips?
A.
Since the number of heads in the 10 coin flips is 8, the theoretical probability of observing a head in a coin flip increases from 0.5 to 0.8.
B.
Since 10 is a large enough number of trials, there is probably some error in the recording of the coin flip outcomes.
C.
The theoretical probability has no basis in reality, so the new probability of flipping heads is now 0.8.
D.
There should be a larger number of trials. With 500 flips of the coin, the experimental probability will likely approach the theoretical probability of 0.5.
Answer:
Step-by-step explanation:
If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is 1 2. This is also the probability of flipping heads on a coin. And so we have: 1 2 × 1 2 × 1 2 = 1 8. If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. sorry if this isn't right have a nice day.
Answer:
There should be a larger number of trials. With 500 flips of the coin, the experimental probability will likely approach the theoretical probability of 0.5.
Step-by-step explanation:
I had the same on my test and got it correct, "trust me man"