Answer:
a = 730.43
Step-by-step explanation:
The formula for this type of problem is [ a = kb²/c³ ].
We are given a = 171, b = 8 and c = 9.
Solve for k.
171 = k(8)²/(9)³
k = 1947.80
Solve for a since we found k using b = 9 and c = 6.
a = (1947.80)(9)²/6³
a = 730.425
Round to the nearest hundredth.
730.425 → 730.43
Best of Luck!
Answer:
730.42
Step-by-step explanation:
a varies directly with the square of b, and inversely with the cube of c. Therefore:
a = k b² / c³
where k is the constant of proportionality.
a = 171 when b = 8 and c = 9. So the value of k is:
171 = k (8)² / (9)³
k ≈ 1947.8
So the value of a when b = 9 and c = 6 is:
a = 1947.8 (9)² / (6)³
a ≈ 730.42
The perimeter of a rectangular garden is 40 it. The length is 2 ft more than the width. Find the length and the width of the garden.
Answer: Length = 11
Width = 9
Step-by-step explanation:
Let x represent the unknown length.
Let x - 2 represent the unknown width.
The perimeter is equal to 2 times x + (x -2)
Equation:
2 (x + (x - 2)) = 40
x + (x - 2) = 40/2
x + x - 2 = 20
2x - 2 = 20
2x -2 + 2 = 20 + 2
The length is: 2x = 22 -> x = 22/2 -> x = 11
The width is: x - 2 = 9
identify the coefficients 7p - 3r + 6 - 5s
Answer:
7, -3, and -5 are coefficients.
Step-by-step explanation:
Answer:
The leading coefficient is 7
Mason prepared 12 kilograms of dough after working 3 hours. How many hours did Mason
work if he prepared 20 kilograms of dough? Solve using unit rates.
Which of the following is the radical expression of?
Answer:
The third answer
Step-by-step explanation:
Remember power over root and the 2 would not be under the root.
Answer:
the third one
Step-by-step explanation:
Red has already lost three iphones.He didn't spend a lot of money on his newest cellphone because he knows he will eventually lose that one too.Is it deductive or inductive reasoning?
Answer:
deductive reasoning
Step-by-step explanation:
A group of 8 people are picking up litter along a 4
5
km length of road. Each person is assigned an equal section of the road. How can you divide 4
5
km among 8 people?
Which expression is equivalent to 4
5
÷ 8?
÷ 8
Each person picks up litter from a km length of the road.
Answer:
Each person picks up litter from a
✔ 1/10
km length of the road.
Which expression is equivalent to 4
5
÷ 8?
✔ 8/10
÷ 8
Step-by-step explanation:
Solve for X
2x + 4 = 10
Answer:
x = 3
Step-by-step explanation:
2x+4 = 10
2x = 6
x = 3
If two angles are complementary, then they are equal to eachother.
Is this true, sometimes true, or false?
Answer: Sometimes true
Step-by-step explanation: Complementary angles are when two angles add up to 90 degrees. This will be true if the angles are both 45 and 45, however, some can be different like 50 and 40.
Answer:
Sometimes true if both angles are 45 degrees
Step-by-step explanation:
A ball is dropped from a height of 100 cm. The rebound heights to the nearest centimeter are 60, 36, 22, .... What is the total distance the ball will travel both up an down?
Answer:
400 cm
Step-by-step explanation:
Given that:
Initial height at which ball was dropped = 100m
Rebound heights to the nearest cm = 60, 36, 22...
First we find the rebound percentage x;
x% * 100m = 60
100x % = 60
x = 60%
Hemce, we need to calculate the rebound velocities which aren't given:
0.6 * 22 = 13.2 = 13cm
0.6 * 13 = 7.8 = 8cm
0.6 * 8 = 4.8 = 5cm
0.6 * 5 = 3cm
0. 6 * 3 = 1.8 = 2 cm
0.6 * 2 = 1.2 = 1cm
The total distance the ball travels UP and DOWN :
(100 + 2(60) + 2(36) + 2(22) + 2(13) + 2(8) + 2(5) + 2(3) + 2(2) + 2(1))
= 400 cm
PLEASE HELP!!! Mates spent $15.00 on protein bars and sports drinks. each bar cost $3.00 and each sports drink cost $1.50. which equation represents the number of protein bars, p, and the number of sports drinks, s, Matea could have bought
Answer:
15=3s+1.5p
Step-by-step explanation:
can i please get brainliest?
Answer:
15=3s+1.5p
Step-by-step explanation:
15(total money spent)
3s s=amount of bars
1.5p p= amount of sports drinks
combine like terms to simplify
1.17 - .07a + (-3.92a)
Answer:
1.17+3.85
Step-by-step explanation:
1.17-(-3.85a)
Evaluate the expression for a = 4, b = 5, and c = −4. 17 − 7(a − b)2 =
17 -7 ( 4 - 5 ) square = 17 -7 ( 1) = 17 - 7 ×1 = 17 -7 = 10 is the answer.
What is the slope of a line passing through the points (2, 5) and (0, −4)?
HOW CAN WE SOLVE THIS 5-2+17=7 PLEASE HELP IAM CONFUSED
5X+17=7
Answer:
x = -2Step-by-step explanation:
5X + 17 = 7
subtract 17 each side
5x + 17 - 17 = 7 - 17
divide 5 both sides
5x = -10
simplify
5x/5 = -10/5
x = -2
Please help me now. I am stuck on this one.
Answer:
Step-by-step explanation:
Formula: Area=(a+b)/2 * h
72=(16+8)/2*h
72=24/2*h
72=12*h
h=72/12
h=6
It will be nice if you give me brainlies.Good luck!
need help............
Answer:
Answer=A
Step-by-step explanation:
(when dividing two powers we subtract the upper power by the bottom one)
[tex]\frac{7^{10} }{7^{3} }[/tex]
=[tex]7^{10-3}[/tex]
[tex]7^{7}[/tex]
1.why.do.we.need.election
6. In case of short
circuit............current will flow in
that circuit. *
Answer:
As suggested in the name itself:
a short circuit makes the circuit 'short' which causes the resistance of the circuit to be close to none
When the resistance is decreased, the amount of current flowing in the circuit increases (ohm's law: R ∝ 1/ I)
Therefore, in case of a short-circuit. More current will flow in the circuit
What is the value of the rational expression below when xis equal to 4?
Answer:
answer = 2
The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;
Step-by-step explanation:
The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;
The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;
PLEASE HELP ME
Answer:
4
Step-by-step explanation:
What is the range of the function f(x) = 2x+3
Answer: (-∞,∞)
Step-by-step explanation: The line extends forever in both directions meaning that the endpoints will be negative infinity and infinity.
A national standard requires that public bridges over feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that % of all major bridges in that city will have ratings of 4 or below. Complete parts a and b. a. Use the forecast to find the probability that in a random sample of major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020. P(x3) nothing (Round to five decimal places as needed.)
Answer:
The answer is below
Step-by-step explanation:
A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0 (poorest rating) to 9 (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year 2020, the engineers forecast that 4%of all major bridges in that city will have ratings of 4 or below.
a. Use the forecast to find the probability that in a random sample of major bridges in the city, at least 3 will have an inspection rating of 4 or below in 2020.
Answer:
This problem is a probability binomial distribution and it can be solved using the formula:
[tex]P(X=x)=C(n,x)p^xq^{n-x}\\\\q=1-p,C(n,x)=\frac{n!}{x!(n-x)!}[/tex]
Hence the solution to the problem is given as:
P(x ≥ 3) = 1 - P(x < 3) = 1 - [ P(x=0) + P(x=1) + P(x = 2)]
Given that p = 4% = 0.04, q = 1 - p = 1 - 0.04 = 0.96, n = 10. Hence:
[tex]P(x=0)=C(10,0)*0.04^{0}*(0.96)^{10-0}=0.6648\\\\P(x=1)=C(10,1)*0.04^{1}*(0.96)^{10-1}=0.277\\\\P(x=2)=C(10,2)*0.04^{2}*(0.96)^{10-2}=0.0519\\\\P(x\geq 3)=1-[0.6648+0.277+0.0519]=0.0063[/tex]
Who ever answers this I will mark as brainliest
Answer: uhhhhhh pass
Step-by-step explanation:
This graph shows the solution to which inequality?
(3,-1)
(-3,-3)
Answer:
its c. y>1/3x-2
Step-by-step explanation:
Just took the quiz
Will mark brainliest
Answer: The third option
y = -6 + 2√6 ÷ 5 and y = -6 - 2√6 ÷ 5
Plz mark brainliest:)
2% of what number is 5?
A. 0.1
B. 1
C. 250
Answer:
a
Step-by-step explanation:
5(.02)
Your parents love coffee . They purchased a bag of coffee online for 10.99. Since they purchased it online . They received 18% off . What was the sale price
Which expression uses the associative property to make it easier to evaluate
14( 1/7• 2/5)
Step-by-step explanation:
Associative property is a(bc)=(ab)c
14(1/7 * 2/5) = (14* 1/7) 2/5 = 2* 2/5 = 4/5
Answer: (14 x 1/7) 2/5
Step-by-step explanation: yes.
Mr. Ortiz is a driving instructor. Of his students, 23 have taken the driver's test and 17 of them have passed
on the first attempt. Mr. Ortiz earns a $300 bonus if 80% of his students pass the test on the first attempt.
How many consecutive students must pass on the first attempt in order for Mr. Ortiz to earn the bonus
Answer:7
Step-by-step explanation:
Compute the estimated regression's prediction for the average score of students given 98, 129, or 159 minutes to complete the exam.
Given 98 minutes, the estimated regression's prediction for the average score of students is 91.94 .
Given 129 minutes, the estimated regression's prediction for the average score of students is 108.37
Given 159 minutes, the estimated regression's prediction for the average score of students is 124.27 (Round your responses to two decimal places.)
Compute the estimated gain in score for a student who is given an additional 32 minutes on the exam.
The estimated gain in score for a student who is given an additional 32 minutes on the exam is (Round your response to two decimal places.)
Answer:
The estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96
Step-by-step explanation:
The estimated regression prediction is given by:
[tex]\hat{y}=40+0.53x[/tex]
Where x denotes the time
y denotes the average score
A)
Substitute x = 98
[tex]\hat{y}=40+0.53(98) = 91.94[/tex]
B)
Substitute x = 129
[tex]\hat{y}=40+0.53(129) = 108.37[/tex]
C)
Substitute x = 159
[tex]\hat{y}=40+0.53(159) = 124.27[/tex]
D)the estimated gain in score for a student who is given an additional 32 minutes on the exam.
[tex]\hat{y}=40+0.53(x+32)=40+0.53x+9.57=y+16.96[/tex]
So, the estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96
If someone helps, contact me, and I'll give you 80 points or more if you would like.
Determine which statement is true from the information given. diet sodas = 3 regular sodas = 7
For every 3 regular sodas sold there are 7 diet sodas sold
The ratio of diet sodas to regular sodas sold is 7 : 3
The ratio of regular sodas to diet sodas sold is 7 : 3
For every 7 diet sodas sold there are 3 regular sodas sold
Answer:
Step-by-step explanation:
d = 3, r = 7
3r = 7d 3(7) = 7(3) 21 = 21 true
d/r = 7/3 3/7 ≠ 7/3 false
r/d = 7/3 7/3 = 7/3 true
7d = 3r 7(3) = 3(7) 21 = 21 true
3 of these statements are true, are you sure you got the question written down correctly?