Answer:
the 2000 enrollment is 1,512
Step-by-step explanation:
The computation of the 2000 enrollment is as follows;
Since the enrollment is fall by 4% each year from 1994 to 2000 so the 2000 enrollment would be
= 1994 enrollment × (1 - 0.04)
= 1,575 × 0.96
= 1,512
Hence, the 2000 enrollment is 1,512
PLEASE ANSWER ASAP!!!!!!!!!!!
Answer:
Felipa is correct
Step-by-step explanation:
carl
[tex]6-4(4-6x)+12x\\\\2(4-6x)+12x[/tex] this is incorrect by PEMDAS he should have multiplied the 4 by 4-6x and then add with 6
so Felipa is correct
What is the surface area?
Answer:
248m^2
Step-by-step explanation:
SA = 2(lw + wh + lh)
= 2(4m*6m+6m*10m+4m*10m)
= 2(24m^2+60m^2+40m^2)
= 2(124m^2)
= 248m^2
Which of the following is the solution set to the equation -4(x+1)^2 -3=- 51
Answer:
x is equal to 2.5 and -4.5
Step-by-step explanation:
-4(x + 1)² - 3 = -51
-4(x² + 2x + 1) - 3 = -51
-4x² - 8x -3 - 3 = -51
-4x² - 8x - 6 = -51
-4x² - 8x = -45
-4(x^2 + 2x) = -45
-4(x^2 + 2x + 1) = -49
-4(x + 1)² = -49
(x + 1)² = 49/4
x + 1 = ± √(49/4)
x + 1 = ± 7/2
x = -1 ± 3.5
x = 2.5, -4.5
George's bank balance last month was) -£350
His monthly wage of £1550 was then paid in, but
he also paid out his monthly gas bill of £88.
What is George's new bank balance ?
Answer:
mark me as brainliest please
1112
Step-by-step explanation:
1550-350=1200
1200-88=1112
A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 60 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds. Group of answer choices
Answer:
0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.
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.
In this question, we have that:
[tex]\mu = 450, \sigma = 60[/tex]
Find the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.
This is the pvalue of Z when X = 312. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{312 - 450}{60}[/tex]
[tex]Z = -2.3[/tex]
[tex]Z = -2.3[/tex] has a pvalue of 0.0107
0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.
Help!!!!! Solve the distance??
Answer:
531.4
Step-by-step explanation:
ED/AE=BC/AB
ED=AE*BC/AB
ED=240*620/280
ED=531.4
5w – 8x + 20y + 6z
coefficients:
Answer: It is still the same thing since there are no like terms for this equation. So 5w-8x+20y+6z is the answer. Hope this helps!
Step-by-step explanation:
tutorials are exercise specific and are sometimes referred to as a sample problems. It will walk you through steps needed to solve a particular problem. It is similar to a
Answer:
In this case, there are many answers; since the question is a little ambiguous. See the explanation below.
Step-by-step explanation:
Tutorials are exercise-specific and are sometimes referred to as sample problems. A tutorial will walk you through the steps needed to solve a particular problem or problems of a kind. As such, what is a tutorial similar to?
1. A guide
2. A manual training e.g. on how to drive a car or a specific car type
3. A preamble to the main problem or arithmetic you want to solve
4. A preparation
5. A test of ability to conquer the main quest
6. A framework imitating what you'll meet ahead
Help me please!!!!!!!!!!?!?!?!?!?!?!?!?!?!?!?!
Answer:
A
Step-by-step explanation:
I NEED THIS ASAP- Point A is located at (-5, -8). Point A is reflected across the X-axis to create point B. What is point B?
Answer:
(5,-8)
Step-by-step explanation:
if it is reflected across the X axis and this is in quadrant 3 that means if it was reflected it would fall in quadrant 2
WHAT IS 25,000- 16% =
it equals 21000.....
Answer:
answer is 624996/ 25
..... . .... . . ...
I hope it helps you
:-))
An art teacher has 70 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each student get? Write the answer as a mixed number.
a. 2 41/50
b. 1762 1/2
c. 141/50
d. 50/141
Answer: a.2 41/50
Step-by-step explanation:
three coworkers decided to buy fruit to share at lunch time.Antonii spent $1.47 on bananas.Laura spent $2.88 on apples.Suzanne spent $2.85 on oranges.
If Laura bought 2.1 pounds of apples,is the price per pound of apples greater than or less than $1 ? how can you tell?
Answer:
The price per pound of apples is greater than $1.
Step-by-step explanation:
Please consider the complete question:
Three coworkers decided to buy fruit to share at lunch time. Antonii spent $1.47 on bananas.Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges. If Laura bought 2.1 pounds of apples, is the price per pound of apples greater than or less than $1 ? how can you tell?
To find the price of apples per pound, we need to divide total amount paid by Laura ($2.88) with total pounds of apples (2.1 pounds) bought.
Price of apple per pound = [tex]\frac{2.88}{2.1}[/tex]
Price of apple per pound = $1.37142857
Since the price of apples per pound is $1.37, therefore, the price per pound of apples is greater than $1.
We can simply tell that the price per pound of apples is greater than $1 because 2.88 is greater than 2.1. So when we will divide 2.88 by 2.1, then we will get a number greater than 1.
Using unitary method, the price per pound of apples is greater than $1.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that three coworkers decided to buy fruit to share at lunch time. Antonii spent $1.47 on bananas.Laura spent $2.88 on apples. Suzanne spent $2.85 on oranges. If Laura bought 2.1 pounds of apples, then
To determine the price of apples per pound, we need to divide total amount paid by Laura with total pounds of apples bought.
Price of apple per pound = 2.88/ 2.1
Price of apple per pound = $1.37142857
Since the price of apples per pound is $1.37, thus, the price per pound is greater than $1.
We can simply tell that the price per pound of apples is greater than $1 because 2.88 is greater than 2.1.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which statements can be used to write an expression and then find the number of peanuts that ended up in each bag? !Check all that apply!
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction, StartFraction p Over 6 EndFraction.
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answer:
the operation is division
342 divided by 6 equals 57
as a fraction it is 342/6
Answer:
1,3,7
Step-by-step explanation:
Which ratios form a proportion?
A. 3/5 and 9/25
B. 4/10 and 10/25
C. 4/9 and 9/4
D. 4/11 and 6/13
Answer:
B.
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
You are multiplying both numerator and denominator by 2 1/2
PLEASE ANSWER THIS I SWEAR ITS SO EASY AND SIMPLE ILL GIVE BRAINLIEST TOOOOOOOO
can systems of equations by a combination of linear and non-linear functions?
Answer:
yes
Step-by-step explanation:
ok ok this i need help
Answer:
2
Step-by-step explanation:
18-4^2=2
Answer:
18-k^2
18-4^2
18-16
2
I would appreciate it if you could answer the questions please- A ball is thrown upward at 48ft/s from a building that is 100 feet high the function h(t)= -16+84t + 100 expresses the balls height,h in feet given the time t, in seconds since the ball was thrown.please answer the questions if you know the answer I would appreciate it
Problem 8
Answer: 1.5 seconds----------------
Work Shown:
h(t) = -16t^2+48t+100 is the same as y = -16x^2+48x+100, just with different variables.
Compare this to y = ax^2+bx+c to find that a = -16, b = 48, c = 100
Then compute the x coordinate of the vertex -b/(2a) getting
h = -b/(2a)
h = -48/(2*(-16))
h = 1.5
It takes 1.5 seconds for the ball to reach its peak height. The vertex represents the max height since the parabola opens downward.
==============================================
Problem 9
Answer: 136 feet----------------
Work Shown:
Plug the result from problem 8 into the function
y = -16x^2 + 48x + 100
y = -16(1.5)^2 + 48(1.5) + 100
y = 136
The vertex is (1.5, 136)
This means at 1.5 seconds, the ball is 136 feet off the ground at its highest point.
==============================================
Problem 10
Answer: approximately 4.415 seconds----------------
Work Shown:
Plug in y = 0 and solve for x
y = -16x^2 + 48x + 100
0 = -16x^2 + 48x + 100
-16x^2 + 48x + 100 = 0
Apply the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(48)\pm\sqrt{(48)^2-4(-16)(100)}}{2(-16)}\\\\x = \frac{-48\pm\sqrt{8704}}{-32}\\\\x \approx \frac{-48\pm93.29523032}{-32}\\\\x \approx \frac{-48+93.29523032}{-32}\ \text{ or } \ x \approx \frac{-48-93.29523032}{-32}\\\\x \approx \frac{45.29523032}{-32}\ \text{ or } \ x \approx \frac{-141.2952303}{-32}\\\\x \approx -1.41547593\ \text{ or } \ x \approx 4.41547595\\\\[/tex]
A negative x value makes no sense because time cannot be negative, so we ignore the first solution. The only practical solution is roughly x = 4.415
It takes approximately 4.415 seconds for the ball to reach the ground.
==============================================
Problem 11
2 Answers: At 0.5 seconds and at 2.5 seconds----------------
Work Shown:
Use the same idea as problem 10. Instead of y = 0, use y = 120
y = -16x^2 + 48x + 100
120 = -16x^2 + 48x + 100
-16x^2 + 48x + 100 = 120
-16x^2 + 48x + 100-120 = 0
-16x^2 + 48x - 20 = 0
-4(4x^2 - 12x + 5) = 0
4x^2 - 12x + 5 = 0
Now apply the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-12)\pm\sqrt{(-12)^2-4(4)(5)}}{2(4)}\\\\x = \frac{12\pm\sqrt{64}}{8}\\\\x = \frac{12\pm8}{8}\\\\x = \frac{12+8}{8}\ \text{ or } \ x = \frac{12-8}{8}\\\\x = \frac{20}{8}\ \text{ or } \ x = \frac{4}{8}\\\\x = 2.5\ \text{ or } \ x = 0.5\\\\[/tex]
There are two moments in time when the ball is 120 feet in the air. Those two moments are at x = 0.5 seconds and at x = 2.5 seconds.
At x = 0.5, the ball is going upward. At x = 2.5, the ball is coming back down.
Answer:
(I'm not sure if your teacher is nit-picky about significant figures, but here I go...)
8) 1.5 seconds
9) 136 feet
10) 4.415 seconds
11) 2.5 seconds (also 0.5 seconds)
Step-by-step explanation:
See attached screenshot of Desmos graph showing y(t) = -16t² + 48t + 100, y = 120 and respective points.
12. At an ice cream shop, there are two bowl choices, a cone or a cylinder. Both have the same height and the diameter of their bases are the same. Which description accurately compares their relationship when comparing the volume , assuming both are filled only to the top?
6/5 sums in simplest form
Answer:
1 1/5
Step-by-step explanation:
Answer:
1 1/5
Step-by-step explanation:
5/5 is 1 whole and you got 1 extra so it would be 1/5
need the answer please, I will give brainlist!
Answer
p=5. I believe
ILL GIVE BRAINLIEST PLZ
Answer:
yup cool
Step-by-step explanation:
Select the correct answer.
What is this expression in simplified form?
(-9/2)(4/16)
Answer:
(-9.2)(4.16)
Step-by-step explanation:
Amy and Belinda each roll a sheet of 6-inch by 8-inch paper to form a cylindrical tube. Amy tapes the two 8-inch sides together without overlap. Belinda tapes the two 6-inch sides together without overlap. What is $\pi$ times the positive difference of the volumes of the two tubes
Answer:
ΔV = 24*π inches
Step-by-step explanation:
Amy Tube volume = V₁ the 6 inches sides will shape the circumference of area A₁ = π*r²
A₁ = π*(3)² and
V₁ = π*r²*h₁
V₁ = π*(3)²*8
V₁ = 72*π
In the case of Belinda, r will be 4 inches and h₂ = 6 and V₂
V₂ = A₂*h₂
V₂ = π*(4)²*6
V₂ = 96* π
Then differences of the volumes is
V₂ - V₁ = ΔV = 96*π - 72*π
ΔV = 24*π inches
The school band collected $3,240 for 380 tickets sold to their spring concert. Adult tickets were $12 each and student tickets were $6 each. How many adult tickets were sold?
160 adult tickets were sold
How to determine how many adult tickets were sold?Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.
Set up equations to represent the problem.
Let the A and S represent the number of adult and student ticket respectively. So we can write:
12A + 6S = 3,240 --- (1)
A + S = 380 --- (2)
From (2):
S = 380 - A ---- (3)
Put (3) in (1):
12A + 6S = 3,240
12A + 6 (380 - A) = 3,240
12A + 2280 -6A = 3,240
6A = 3,240 - 2280
6A = 960
A = 960/6
A = 160 tickets
Thus, the number of adult ticket sold is 160
Learn more about word problems on:
brainly.com/question/13818690
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Is the formula s=(n-2)180
Answer:
Number of sides of the polygon
Step-by-step explanation:
The formula [tex]S=(n-2)180[/tex] is the sum of the measures of interior angles. So that's what S stands for. The only other variable remaining is n which is the number of sides of the polygon.
There's nothing I can do to help you understand this, you just have to memorize it.
Angelica the Alligator is laying our next to a perfectly circular pond. She is 9 feet from the edge of the pond and 15 feet from the point of tangency. Determine the radius of the pond.
9514 1404 393
Answer:
8 ft
Step-by-step explanation:
Consider the attached diagram.
The rule for secants and tangents tells us ...
(AC)(AB) = (AT)²
AC = AT²/AB = 15²/9 = 25
Then the diameter is ...
BC = AB - AC = 25 -9 = 16
The pond has a diameter of 16 ft, so a radius of 8 feet.
__
Additional comment
Since point C is the nearest point on the edge of the pond to point A, it must lie on line AO. Hence BC must be a diameter.
Please Help me with this. please don't take my points-
Answer:
c
Step-by-step explanation:
Answer:
ima say c since the other person did.
but it already takes points from u when u make this question btw.
Step-by-step explanation:
PLZ HELP !!!
Find the value of X.
9514 1404 393
Answer:
60°
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°. The interior angle adjacent to x will have measure 180°-x. So, the equation can be written ...
100° +50° +90° +(180° -x°) = 360°
420° -x° = 360° . . . . simplify
x = 420 -360 . . . . . . divide by °, add x-360
x = 60
Find the acute angle between the two hands of a clock at 5.20 a.m.
Answer:
22
Step-by-step explanation:
40 degrees
Step-by-step explanation:
hour hand = 5 and 1/3 hours
minute hand = 20 minutes = 4 hours on the clock
the different = 1 and 1/3 hours
each hour = 360 / 12 = 30 degrees
therefore the answer = 4/3 x 30 = 40 degrees