A tank is draining water such that the volume is given which an exponentially decreasing graph as shown in the graph below. If the volume was modeled with an equation of the form V=a(b)^t, where t is the number of hours then which of the following is the best value for b?
(1) b=20
(2) b=0.6
(3) b=2.8
(4) b=0.3
Answers
Answer:
[tex]b = 0.3[/tex]
Step-by-step explanation:
Given
[tex]V = ab^t[/tex]
See attachment for graph
From the graph
V = 20 when t = 0
This implies that:
[tex]V = ab^t[/tex]
[tex]20 = ab^0[/tex]
[tex]20 = a * 1[/tex]
[tex]20 = a[/tex]
[tex]a = 20[/tex]
Also:
V = 4 when t = 1.5
So:
[tex]4 = ab^{1.5[/tex]
Substitute 20 for a
[tex]4 = 20 * b^{1.5[/tex]
Divide by 20
[tex]0.2 =b^{1.5[/tex]
[tex]b^{1.5} = 0.2[/tex]
Take 1.5th root of both sides
[tex]b = 0.34199518933[/tex]
[tex]b = 0.3[/tex] --- approximated
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a scatter plots allows us to investigate _____ between the ____ ____.
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HELP! A’B’C’ is a reflection of ΔABC. Which best describes the reflection? *
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Answer:
the second one
Step-by-step explanation:
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Help Please!
Given the equation of the function
f(x) = 950(.85)^x
What percent decrease does the function represent?
A. .15%
B. 15%
C. 85%
D. 99.15%
Answers
Answer:
My answer may be wrong, but from what I did I think its B
Step-by-step explanation:
Answer:
fifteen percent xx
Step-by-step explanation:
How many groups of 2 can you make
with the 8 shapes
Answers
Answer:
4 groups
Step-by-step explanation:
is travelling to another country.
He flies for 7 hours at an average speed of 990 km/h on one plane.
He then flies for 6 hours 15 minutes at an average speed of 920 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answers
Answer:
First time=7hours
First speed=990km/hour
First distance=first time×first speedD=(
S×T)
D=990km/hr×7hrs
D=6930km.
Second time=6&14min.
Second speed=920km/hr
Second distance=second speed×second time (D=s×t)
D=920km/hr×6&14min.
D=1500
Total distance=6930+1500
=8430
which one is it .....
Answers
Answer:
D) n/3 - 7
Step-by-step explanation:
Answer:
D) n/3 - 7
Step-by-step explanation:
n/3 - 7
7 is subtracted (so it's behind) and the quotient (fraction) of n and 3
A CD player is advertised at a price of $1200. It could be bought cash or by hire purchase. The table below shows the terms of payment.
Answers
Option 1:1344
Option 2:1320
which expression is equivalent to 3(9p+2r)
Answers
Answer:
27p+6r
Step-by-step explanation:
3(9p+2r)
1 Solve the product 3(9p+3 2r)
3⋅9p+3x2r
Multiply 3 times 9
27p+3x2r
Final Answer
27p+6r
A- (x+4) (4x-1)
B- (x-4)(4x-1)
C-(x+4)(4x+1)
D-(x-4)(4x+1)
Answers
D-(x-4)(4x+1) is your answer
Answer:
4x²-15x-4
doing middle term factorization
4x²-16x+x-4
4x(x-4)+1(x-4)
(x-4)(4x+1)
Paleomagnetic studies of Canadian volcanic rock known as the Carmacks Group have recently been completed. The studies revealed that the northward displacement of the rock units has an approximately normal distribution with a standard deviation of 500 kilometers (Canadian Journal of Earth Sciences, Vol. 27, 1990). One group of researchers estimated the mean displacement at 1,200 kilometers, whereas a second group estimated the mean at 1,000 kilometers.
Required:
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
Answers
Answer:
a) 0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers
b) 0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers
c) 1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
Standard deviation of 500 kilometers
This means that [tex]\sigma = 500[/tex]
a. Assuming the mean is 1500 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Mean of 1500 km means that [tex]\mu = 500[/tex]
The probability is the pvalue of Z when X = 500. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1500}{500}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.0228 = 2.28% probability of a northward displacement of less than 500 kilometers.
b. Assuming the mean is 1200 kilometers, what is the probability of a northward displacement of less than 500 kilometers?
Now [tex]\mu = 1200[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 1200}{500}[/tex]
[tex]Z = -1.4[/tex]
[tex]Z = -1.4[/tex] has a pvalue of 0.0808
0.0808 = 8.08% probability of a northward displacement of less than 500 kilometers.
c. If, in fact, the northward displacement is less than 500 kilometers, which is the more plausible mean, 1200 or 1500 kilometers?
1200 kilometers, because in this case, the will be a higher probability of a northward displacement that is less than 500 kilometers.
Area: 28.67 sq m and the side is 4.7 m The missing side length is equal to:??? m
Answers
Answer:
6.1
Step-by-step explanation:
area =leanth x breath.
if one side=4.7,
then, missing length=area/given side
= 28.67/4.7
=6.1
Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!
Answers
11. find the value of x in the kite below.
E
(6x + 6)
F
Р
G
Answers
14.
Step-by-step explanation:
6x+6=90 (being a straight line)
6x=90-6
6x=84
x= 84/6
x=14.
14
What would be the slope of equation #1 in the following system? (Graphing)
2x+3y=12
4x-3y=15
(Worth 10 points )
A:1/2
B: -1
C:3/4
D:-2/3
Answers
Answer:
[tex]m = -\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]2x+3y=12[/tex]
[tex]4x-3y=15[/tex]
Required
Slope of #1
[tex]2x+3y=12[/tex]
Make y the subject
[tex]3y = -2x + 12[/tex]
Divide through by 3
[tex]y = -\frac{2}{3}x + \frac{12}{3}[/tex]
[tex]y = -\frac{2}{3}x + 4[/tex]
An equation has the form:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
Compare [tex]y = mx + c[/tex] and [tex]y = -\frac{2}{3}x + 4[/tex]
[tex]m = -\frac{2}{3}[/tex]
Hence, the slope is [tex]-\frac{2}{3}[/tex]
One card is randomly selected from a deck of cards. Find the odds:
in favor of getting a spade.
Answers
Answer:
1/4 chance or 0.25 or 25%
Step-by-step explanation:
One forth of cards in a deck are spades
Answer:
1/4
Step-by-step explanation:
In a deck of cards, there are 52 cards (not including jokers)
and there are 13 cards that are spades, so it's simply just 13/52 which simplifies to 1/4
Anthony bought a new rectangular table for his living room. The length of the table is 4 feet and the perimeter of the table is 14 feet. What is the width of the table?
Answers
Answer:
3 feet
Step-by-step explanation:
If the length is 4 feet, there are two lengths so you get 8
14-8= 6
Because there are two widths, you do 6 divided 2 and you get 3 feet
Determine whether the figure has line point and or rotational symmetry
Answers
Answer:
D) rotational and point
Step-by-step explanation:
D) rotational and point
I’ll reward brainiest it’s super easy
Answers
Answer:
D 21
Step-by-step explanation:
Good Luck!
If Fx) = 8x, which of the following is the inverse of F(x)?
Answers
Answer
y=x/8
Step-by-step explanation:
f(x)=8x
f(x)=y
y=8x(interchange the values)
x=8y(divide by 8 both sides)
y=x/8
Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)
Answers
let x be how much longer she can run the race and still beat her previous time
55(min) + x(min) < 1(hr) + 10(min)
55(min) + x(min) < 60(min) + 10(min)
55 + x < 60 + 10
x < 60 + 10 - 55
x < 15(min)
Answer:
Answer is A
Step-by-step explanation: Taking the test so the answer is A
The set of negative energy is greater than -7
Answers
Answer:
i don't have lesion kau you forever i am sorry
Step-by-step explanation:
your browser to mo Lego house of blues festival
certain adventure tourism business has a promotion with a 10% discount on the original price of light boat rentals. In addition, by recommending the business, a 5% discount is given on the previously discounted price. If a customer pays $12,000 after recommending the business, what was the original rental price?
Answers
www.clink\answerme.com
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a) Use your calculator to work out 18^2 - 7.9
46 - 1.8^3
Write down all the figures on your calculator display.
Answers
Answer:
I suggest PHOTO MATH app for that question download mo po:)
Answer:
a) 49.87517031
b) 49.88
Step-by-step explanation:
Use a calculator
please help it due rn
Answers
Answer:
I think that the answer would be C .
hope it was helpful :)
Graph the compound inequality on the number line. x < -5 or x>0
Answers
the answer is in the image look at the image to see
The volume of a suitcase if 8,556 cubic inches. It is 32 inches long and 15.5 inches high. What is width of the suitcase?
Answers
Answer:
17.25
Step-by-step explanation:
8556 / 32 / 15.5 = 17.25
A high school Band has a budget of $1500 this year. They plan to go to the State Competition which cost $450. How many Members of the band can attend if the uniforms have a cost of $25 each. let n represent the number of bandmates
Group of answer choices
Answers:
n > 60
n > 42
n < 42
n < 78
Answers
Answer:
n < 42
Step-by-step explanation:
450 + 25n < 1500 (Has to be less than 1500)
25n < 1500 - 450
25n < 1050
n < 42
Answer:
n < 42
450 + 25n < 1500
25n < 1500 - 450
25n < 1050
n < 42