Answer:
C = [tex]\frac{963}{92}[/tex]
Step-by-step explanation:
given A varies directly as B and inversely as C then the equation relating them is
A = [tex]\frac{kB}{C}[/tex] ← k is the constant of variation
to find k use the condition A = 6 , B = 10 , C = 15 , then
6 = [tex]\frac{x10k}{15}[/tex] ( multiply both sides by 15 )
90 = 10k ( divide both sides by 10 )
9 = k
A = [tex]\frac{9B}{C}[/tex] ← equation of variation
when A = 92 and B = 107 , then
92 = [tex]\frac{9(107)}{C}[/tex] ( multiply both sides by C )
92C = 963 ( divide both sides by 92 )
C = [tex]\frac{963}{92}[/tex]
Answer:
C = 963/92
Step-by-step explanation:
Given :
A ∝ BA ∝ 1/CFinding the constant of variation, k
A = kB/C6 = k(10)/(15) [Given in 1st part of question]6 = 2k/3 2k = 18k = 9Finding C
Using the same equation, and new values of A and B, we can find CA = kB/CC = kB/AC = 9 x 107 / 92C = 963/92On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?
Answer:
Yes
Step-by-step explanation:
An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week
What is the center and radius of the circle?
(x-3)2 + y² = 4
Answer:
center = (3, 0)
radius = 2
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]
(where (h, k) is the center of the circle and r is the radius)
Given equation:
[tex]\sf (x-3)^2+y^2=4[/tex]
Rewrite in standard form:
[tex]\sf \implies (x-3)^2+(y-0)^2=2^2[/tex]
Therefore
center = (3, 0)radius = 2The numbers 4 through 14 are placed in a bowl and drawn at random then replaced after being drawn.What is the probability that you will choose an even number
Answer:
The probability is probably about 55%
Step-by-step explanation:
The ingredients for your skillet brownie cost $1.89. You want your food cost percentage for this item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.
choices:
a.
$5.98
b.
$6.00
c.
$5.67
d.
$6.30
Answer:
Your want your food cost forthis item to be 30% or lower. What's the lowest price you can charge? Round to the nearest cent.
1 answer
·
1 vote:
$2 / 0.3 = $6.67Check:$6.67 * 0.3 = $2 :)
Missing: choices: $5.98 $6.00 c. $5.67 d. $6.30
Step-by-step explanation:
The lowest price you can charge is $6.30
How to determine the cost?We have:
Skillet brownie = $1.89Percentage of food cost = 30% or lowerThe lowest price you can charge is calculated as:
Lowest = Skillet brownie/Percentage
This gives
Lowest = $1.89/30%
Evaluate
Lowest = $6.30
Hence, the lowest price you can charge is $6.30
Read more about percentages at:
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A cup contains 438 grams of sand. A bucket contains 2,120 grams of sand.
How many more grams of sand are in the bucket than the cup?
The bucket that contains 2120 grams of sand and a cup that contains 438 grams of sand , the bucket of sand has 1682 grams of sand than the cup of sand in the cup.
How to calculate difference in mass?A cup contains 438 grams of sand. A bucket contains 2120 grams of sand.
Therefore, the number of more grams of sand in the bucket than the cup is as follows:
mass of sand in cups = 438 grams
mass of sand in the bucket = 2120 grams
Therefore,
difference in mass = 2120 - 438
difference in mass = 1682 grams
Therefore, they are 1682 grams of sands in the bucket than the cup.
learn more on mass(grams) here: https://brainly.com/question/12843854
can someone please help me
Answer:
x = 49
Step-by-step explanation:
corner point b = 41
d = right angle ( 90 )
90 + 41 = 131
180- 131 = 49
x = 49
p.s
im not sure if d is a right angle if it is not please inform me.
Some pens are shared among three students anne,lucy, and John.Anne gets 5 times many pens as lucy, and lucy gets 2 pens less than john. Suppose John gets x pens, how many pens does anne get in terms of x
Using a system of equations, it is found that Anne gets 5x - 10 pens.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, we consider that John gets x pens.
Lucy gets 2 pens less than john, hence:
L = x - 2.
Anne gets 5 times many pens as lucy, hence:
A = 5L = 5(x - 2) = 5x - 10.
More can be learned about a system of equations at https://brainly.com/question/24342899
Latoya just bought a refrigerator for $931. She paid $139.80 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?
Answer:
$197.80
Step-by-step explanation:
$931.00 - $139.80 = $791.20
$791.20 / 4 equal installments = $197.80
8) Which table shows a proportional relationship between x and y?
1
y
1
4
2
3
4
8
4
6
10
с
12
8
А
9
16
14
16
12
22
20
20
15
28
x
3
.
y
5
1
12
6
10
2
14
12
D
w N
B
15
16
18
18
4
24
20
20
30
25
5
9 Danielle constructs a scale model of a building with a rectangular base. Her model
Answer:
D
Step-by-step explanation:
A table shows a proportional relationship if all of the y/x ratios are the same.
A: 4/3 ≠ 10/6 . . . . not proportional
B: 6/12 ≠ 12/14 . . . . not proportional
C: 2/4 ≠ 20/20 . . . . not proportional
D: 1/5 = 2/10 = ... = 5/25 . . . . proportional relationship
Answer:
D
Step-by-step explanation:
1*5=5
2*5=10
3*5=15
4*5=20
5*5=25
3⋅2t
a. Evaluate the expression when t is 1.
b. Evaluate the expression when t is 4.
pls hurry its due in 5 mins
Answer:
Step-by-step explanation:
a) substitute t = 1 in the expression
3 - 2t = 3- 2*1
= 3 - 2
= 1
b) substitute t = 4 in the expression
3 - 2t = 3 - 2*4
= 3 - 8
= (-5)
(10) The population of bacteria an experiment can be modeled by d p(d)= 400(1.56)^d , where d is the number of days the population has been growing.
(a) Find the average rate the population has been growing over the interval 0≤d≤7.
Round to the nearest integer and include appropriate units.
(b) If the population of bacteria was modeled as a function of the number of hours, h,
such that h p(h)= 400b^h then what would be the value of b to the nearest thousandth?
Show or explain how you found your answer.
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Let p represent the population of the bacteria after d days.
[tex]P(d)=400(1.56)^d\\\\P(7)=400(1.56)^7=8994\\\\P(0)=400\\\\\\Average\ rate\ of\ change=\frac{P(7)-P(0)}{7-0}=\frac{8994-400}{7-0} =1228[/tex]
b) 24 hours = 1 day, hence:
[tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
Find out more on exponential function at: https://brainly.com/question/12940982
Help help help math math
Answer:
>
Step-by-step explanation:
Negative is that amount below zero. For example -3 is 0 - 3. This means that since -3 is 3 less than 0, -3 < 0. This can also be said as 0 > -3.
Answer:
Answer: 0 (> )-3
Step-by-step explanation:
Hope it helps
please help brainliest included for honest attempt
Think of two different technological innovations that occurred in the last 50 years: one that relied largely on innovations within a specific technology (for example, the upgrades that smartphones have seen over the years) and one that relied largely on knowledge or skills that came from a field of technology that was distinct from the main field that innovation deals with (for example, video games that use technology originally designed for navigation). Briefly describe each innovation and what inspired it, then compare the innovations: for example, which innovation seems more of an incremental improvement versus a paradigm-shift in its field? Which one do you think was more widely used in the five years after it was invented? Which one most inspired other innovations?
Answer:
The Electric Car
The Cell Phone
The GPS
DNA Testing
3D Printing
A Triangle has a perimeter of 80 feet. If the three sides of the triangle are, n, 3n + 7, and 3n + 3, what is the length of each side?
Answer:
Step-by-step explanation:
Givens
Perimeter = 80 feet
side 1 = n
side 2 = 3n + 7
side 3 = 3n + 3
Formula
Side 1 + side 2 + side 3 = 80
Solution
Substitute the length for each side into the equation
n + 3n + 7 + 3n + 3 = 80
7n +10 = 80 Subtract 10 from both sides
7n + 10 - 10 = 80 - 10 Combine
7x = 70 Divide by 7
7x/7 = 70/7 Combine
x = 10
Answer
Side 1 = n = 10
Side 2 = 3n + 7 = 3*10 + 7 = 37
Side 3 = 3n + 3 = 30 + 3 = 33
A group of researchers wants to estimate the difference in time it takes to heal enough to return to work after knee replacement surgery using two different physical therapy plans. They plan to use the data in the following table to construct a two-sample t interval.
Therapy plan A B
Mean healing time (weeks) 8.2 6.8
Standard deviation (weeks) 1.5 0.9
Number of participants 45 60
Which of the following are conditions for this type of interval?
Choose all answers that apply:
A. The times for each participant are independent of each other.
B. The distributions of times in the population are approximately normal.
C. Each sample includes equal numbers of men and women.
Answer:
A
Step-by-step explanation:
Got it right on Khan Academy.
Hope this helps!
Please mark as brainliest!
3
Andre sold 43 magazines at his mom's work, 32 at his dad's work, 18 around his
neighborhood, and 3 at home. What is the mean of the magazines he sold?
Answer:
The mean is 24 ( I think)
Step-by-step explanation:
SO in all, there were 96 magazines sold. So if there are just those 4 categories divide the 96 by 4. 96 divided by 4 = 24.
The mean of magazines he sold is 24
A right rectanular prism has a length of 2 a width of 4 and a height of 5. How many unit cubes can fit in the prism
Answer:
40
Step-by-step explanation:
4 x 2 = 8 x 5
l x w x h
or
Bxh
What is x in "5x + (x+12)+(2x+4)"
Answer:
[tex]\rightarrow \boxed{\sf{8x+16}}[/tex]
Step-by-step explanation:
You have to isolate the term of x from one side of the equation.
Distributive property:
A(B+C)=AB+AC
5x+(x+12)+(2x+4)
5x+(x+12)+(2x+4)=5x+x+12+2x+4
5x+x+12+2x+4
Group and combined like terms.
5x+x+2x+12+4
Add the numbers from left to right.
12+4=16
Rewrite the problem down.
5x+x+2x+16
Then, you solve.
5x+x=6x
6x+2x=8x
8x+16
As a result, the final answer is 8x+16.
I hope this helps you! Let me know if my answer is wrong or not.
How do I find the volume?
Answer:
150m^3
Step-by-step explanation:
The formula for the volume a triangular prism, like the one you have, is 1/2 base x height. For your prism the volume would be 1/2 (30 x 10) which equals 150. Now just add the measurment m (meters) and you're set.
Please help with this
Answer:
1) the quadratic formula2) factoring (zero product property)Step-by-step explanation:
1) using quadratic formula
(b)² - 4ac ----(always write the formula)
3 ( 4x + 1 )² - 5 =25
(12x + 1)² - 5 = 25 (using (a+b)^2)
144x² + 24x +1 - 5 = 25
144x²+ 24x - 4 = 25
144x² + 24x =29
144x² + 24x - 29= 0 (thus, formed and equation)
A=144, b= 24, c= -29
(24)² - 4(144 X -29)
576 - 4 X -4176
576 + 16704=0
17280>0, therefore it has 2 distinct real roots2) x²-8x+12=0
sum= -8, product= 12
-2,-6
so,
x²-2x -6x + 12
x ( x - 2 ) -6 ( x - 2 )
(x-2) (x-6)
X= 2, 6Hope it is correct and helpful
Stay safesorry for the late answerIf a fair coin is tossed 6 times, what is the probability, to the nearest thousandth, of getting exactly 6 tails?
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
[tex]The\ probability\ of\ tails\ per\ flip\ is\ \frac{1}{2}[/tex]
[tex]so\ the\ probability\ of\ getting\ six[/tex]
[tex]tails\ is[/tex]
[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}[/tex]
[tex]The\ probability\ of\ getting\ tails\ every[/tex]
[tex]time\ you\ multiply\ them\ is\ the[/tex]
[tex]probobility\ of\ getting\ tails\ all\ six[/tex]
[tex]times?[/tex]
I hope this helps you
:)
This practice contains 15 questions. If you get 3 incorrect, what will your percent grade be? Hint: Grades are based on correct questions/total questions.
A. 30%
B. 0.8%
C. 20%
D. 80%
Answer:
D. 80%
Step-by-step explanation:
15-3 = 12
12/15 = 4/5 = .8
80%
An investor just purchased a rectangular 1-acre retail lot for $250 a frontage foot. If she paid $100,000 total, what was the depth of the lot?
10ft,10ft,4ft what is the area
Answer:
400 ft sq
Step-by-step explanation:
Area = Length x Width x Height
10 x 10 x 4
100 x 4
400
Have a great day!!
Please rate and mark brainliest!!
What are the x-intercepts of this conic section?
no x-intercepts
(−1, 0) and (1, 0)
(0, −2) and (0, 2)
(0, −1) and (0, 1)
Using it's concept, it is found that the conic section has no x-intercepts.
What is a x-intercept of a function?
A x-intercept of a function is given by the value of x when y = 0. On a graph, it is the value of x when the function crosses the x-axis.
In this problem, the conic section given in the graph does not cross the x-axis, hence it has no x-intercepts.
More can be learned about x-intercepts at https://brainly.com/question/24737967
The problem is write you answer using ONLY positive exponents
Answer:
z^10/z^5 = z^5
Step-by-step explanation:
if it is divide, you minus, so z^10/z^5 is z^5.
If you bought 28 shares of stock at $30/sh and sold them at $25/sh. And How much did you net after selling the shares? Was it a profit or a loss?
Answer:
selling price$840
it's a loss.
Step-by-step explanation:
cost price = 28× 30 = $840
selling prince =25×28=$700
since cost price is bigger than selling price, it's a loss.
Please help I'll mark brainliest.
Answer:
I believe the answer is class 3 because each number of boys and girls goes into class 3.
Answer: Class 3.
Step-by-step explanation: Answers with a 1 to 2 ratio have ratios like 4 to 8, or 5 to 10. Class 3 is the only one with a 1 to 2 ratio, which is 7 to 14, with 7 being the number of girls in that class and 14 being the number of boys in that class. Class 1 has a 1 to 1 ratio, class 2 has a 2 to 1 ratio, and class 4 has a different ratio than all the rest, so that's why all of those are wrong. Therefore, class 3 is your answer.
Have a great day! :)
Which number is a common multiple of 2 and 3?
A) 8
B) 16
C) 28
D) 36
Answer:
D
Step-by-step explanation:
36 can be divided by both 2 & 3
Answer:
The answer is D.
Step-by-step explanation:
2x18=36
3x12=36
can someone help me with this I already answered half of all of them but I need to make sure It's right?
Answer:
of 34.576:
34.576 = (3 * 101) + (4 * 100) + (5 * 1/101) + (7 * 1/102) + (6 * 1/103)
34.576 = (3 * 10) + (4 * 1) + (5 * 1/10) + (7 * 1/100) + (6 * 1/1,000)
34.576 = 30 + 4 + 5/10 + 7/100 + 6/1,000
34.576 = 30 + 4 + 0.5 + 0.07 + 0.006
Step-by-step explanation:
That is 34.576 in expanded form, so know you can know which is correct