10 points please answer correctly (due soon)
Let’ pretend that in an American city there were 2000 new cases on Monday which is a 12% decrease from two weeks ago.
1. Write a linear/exponential equation that
models this situation (consistent with the data
provided). Time is the explanatory variable, and
New Cases is the response variable.
B) Explain what the slope/multiplier (consistent
with your choice above) means in this context
of the problem. Be sure to use units.
Answers
The exponential equation of the model is A(t) = 2583 * 0.88^t and the multiplier means that the number of new cases in a week is 88% of the previous week
The function that models the dataThe given parameters are:
New, A(t) = 2000
Rate, r = 12%
The function is represented as:
A(t) = A * (1 - r)^t
So, we have:
2000 = A * (1 - 12%)^t
This gives
2000 = A * (0.88)^t
2 weeks ago implies that;
t = 2
So, we have:
2000 = A * 0.88^2
Evaluate
2000 = A * 0.7744
Divide by 0.7744
A = 2583
Substitute A = 2583 in A(t) = A * 0.88^t
A(t) = 2583 * 0.88^t
Hence, the exponential equation of the model is A(t) = 2583 * 0.88^t
The interpretation of the multiplierIn this case, the multiplier is 88% or 0.88
This means that the number of new cases in a week is 88% of the previous week
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Related Questions
A circular plate has circumference 22 inches. What is the area of this plate? Use 3.14 for it.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
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Answer:
38.5 in squared
Step-by-step explanation:
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Answer:
Step-by-step explanation:
∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.
∠D = ∠B
∠A = ∠E
△ABC and △EDC are similar because they have the same angles.
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Answer:
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Step-by-step explanation:
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Define Love in 10 words. Don't me with this question rn XD
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Answer:
uh...love is when you feel a certain way around someone
Step-by-step explanation:
when doing the increasing function do we use the exact point?
Answers
Answer:
Step-by-step explanation:
According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.
Hope this helps!!
Write an equation of the line in point-slope form that passes through the given points.
(1,5) and (-5,4)
Answers
Answer:
y-5=1/6(x-1)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-5)/(-5-1)=-1/-6=1/6
slope is 1/6
y-y1=m(x-x1)
y-5=1/6(x-1)
Ally bought 5 different cakes for her birthday. His friends ate 3 1/4 of the amount of cake. Then he gave 1/2 of the cake to his grandmother. How much cake does Ally have left?
Answers
Answer:
7/8 of a cake
Step-by-step explanation:
4 4/4 - 3 1/4 = 1 3/4
7/4 x 1/2 = 7/8
Can the triangles be proven similar by AA?
Question options:
A)
No, similar triangles cannot contain a pair of parallel lines.
B)
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
C)
Yes, because || .
D)
No, the triangles contain no angles marked congruent.
Answers
Answer:
No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
Step-by-step explanation:
Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).
What is similarity?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
Both triangles are similar as,
∠QUR ≅ ∠TUS (vertical angles)
∠R ≅ ∠S (alternate interior angles).
So, By AA similarity criteria triangles are similar.
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The area of one face of a cube is 25 square centimeters. What is the volume, in cubic centimeters, of the cube?
Answers
Answer:
125 cubic cm
Step-by-step explanation:
Length^2 = 25 so each side length is 5cm
5^3 = 125 cubic cm
which integer is 3 less than 7
Answers
Answer:
b
Step-by-step explanation:
20 PTSS !!!
PLEASE HELPP !!
Answers
Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).
So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.
Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.
The area is 150 square units
Why is it reasonable to use the same units to describe circles and measure of angles?
Answers
Answer:
The more familiar unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°.
Explanation:
The unit circle, or trig circle as it's also known, is useful to know because it lets us easily calculate the cosine, sine, and tangent of any angle between 0° and 360° (or 0 and 2π radians)
Drag steps into order to correctly solve the equation x−27=62 for x.
Answers
Answer:
x - 27 + 27 = 62 + 27
x - 0 = 89
(annex rule)
x = 89
Step-by-step explanation:
please mark brainlist
x^2 and -x^2 for x =-3
Answers
Answer:
9 and -9
Step-by-step explanation:
x^2:
all you have to do is (-3)^2 = -3 * -3 = 9
-x^2:
this would be -(-3)^2
the order of operations says to do exponents first, so you would have:
-(9) or -9
solve
1. 1/3n=4
what is n?
Answers
When a system of linear equations has no solution the graph will
a - have parallel lines
b- be the same line
c- have intersecting lines
Answers
Answer:
A
Step-by-step explanation:
there is no intersection which means no solution...i dont knwo how to explain sorry
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1051 and a standard deviation of 194. Scores on the ACT test are normally distributed with a mean of 19 and a standard deviation of 4.7. It is assumed that the two tests measure the same aptitude, but use different scales.
Required:
a. If a student gets an SAT score that is the 62-percentile, find the actual SAT score.
b. What would be the equivalent ACT score for this student?
c. If a student gets an SAT score of 1563, find the equivalent ACT score.
Answers
Answer:
The answer is "1110, 20.4, and 31.408"
Step-by-step explanation:
For point a:
Given:
[tex]\to mean\ ( \bar{x})=1051\\\\\to standard \ deviation \ (\sigma)=194\\\\\to P(Z<=z)=0.62\\\\\to z=0.3055\\[/tex]
Calculating the SAT score:
[tex]=1051+0.3055 \times 194 \\\\ =1110.267 \approx 1110[/tex]
For point b:
Given:
[tex]\to mean \ \bar{x}=19\\\\ \to standard \ deviation \ (\sigma) =4.7\\\\[/tex]
Calculating the equivalent ACT score:
[tex]=19+0.3055 \times 4.7 \\\\ =20.43585 \approx 20.4[/tex]
For point c:
[tex]\to SAT \ Score =1563\\\\\to z=\frac{(1563-1051)}{194}= \frac{512}{194}=2.64\\\\[/tex]
Calculating equivalent ACT score:
[tex]=19+2.64 \times 4.7 \\\\=31.408[/tex]
Calcula el área de los rombos.
Answers
Answer:
xbxbkzkdkdjd
Step-by-step explanation:
bz va yJnzz
A study is done by a community group in two neighboring colleges to determine which college graduates students with more math classes. College A samples 11 graduates. Their average is 4 math classes with a standard deviation of 1.5 math classes. College B samples 9 graduates. Their average is 3.5 math classes with a standard deviation of 1 math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Test at a 1% significance level.
A. Is this a test of two means or two proportions? Are the populations dependent or independent?
B. Are the populations' standard deviations known or not?
C. Which distribution is to be used?
D. What is random variable?
E. Hypothesis
F. Test is two tailed or one tail
G. Test value=_____.
H. Use P-value method) to reach to the conclusion.
Answers
Answer:
A) It is a test of two proportions and the populations are independent of each other
B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1
C) The distribution to be used is 1 distribution
D) The Random variable is the size of the community group
E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2
F) Test is one tailed
G) Test Value > significance level
F) when; P value > significance level ( 0.01 ) we do accept Null hypothesis
when ; P value < significance level ( 0.01 ) we reject Null hypothesis
Step-by-step explanation:
College A :
sample size = 11
x ( mean ) value = 4
std = 1.5
College B :
sample size = 9
x ( mean value ) = 3.5
std = 1
A) It is a test of two proportions and the populations are independent of each other
B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1
C) The distribution to be used is 1 distribution
D) The Random variable is the size of the community group
E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2
F) Test is one tailed
G) Test Value > significance level
F) when; P value > significance level ( 0.01 ) we do accept Null hypothesis
when ; P value < significance level ( 0.01 ) we reject Null hypothesis
What is 288/-32 in its standard form
Answers
Answer:
[tex] \frac{288}{ - 32} = \frac{ - 9}{1} \\ = - 9[/tex]
Answer:
the simplest form of 288/-32 is 91.
Step-by-step explanation:
hope this helps sorry if im wrong
Help pls asap I really need help this is confusing
Answers
What is the 8th term of the sequence 12, 17, 22, 27, 32,…?
A. 47
B. 42
C. 52
D. None of these choices are correct.
Answers
Answer:
A. 47
Step-by-step explanation:
Hope it helps! If you want an explanation, ask in the comments and I'll give you one!
The 6th term is 37
The 7th term is 42
The 8th term is 47
What is the growth?
What is figure 0?
Y=( )X+( )
Can someone help me too those answers I have no clue
Answers
Answer:
Figure 0 = 67 Square Units
Step-by-step explanation:
Its correct, I took the test!
Which expression is equivalent to 7m + 5 + 6 + 3m?
A. 13m + 8
B. 10m + 11
C. 4m + 11
D. 4m + 8
PLEASE HELP ASAP
Answers
Answer:
B.10m + 11
....................
First, rearrange the equation so that it’s easier to simplify it. This will give you
7m+3m+5+6
7m+3m is 10m and 5+6 is 11
Therefore, the answer is B) 10m+11.
A hexagon can be divided into 4 non-overlapping triangles. Which is the sum of the interior angles of a hexagon?
Answers
Answer:
12
Step-by-step explanation:
4 time 3 =12
(b)
In how many months will Rs 4800 amount to Rs 5760 at 2 paisa per rupee per
month?
Answers
Answer:
This amount will be reached in 1 year and 2 months, that is, in 14 months.
Step-by-step explanation:
Given that 1 paisa is 1 cent of a rupee, at an increase of 2 paisa per rupee per month we are talking about an interest of 2% per month, which annualized is equal to 24% per year (12 x 2).
Thus, given that the initial amount is Rs $ 4800, to determine the period of time in which said interest will take the amount to Rs $ 5760 it is necessary to perform the following calculation:
4800 x 1.02 x X = 5760
4896 x X = 5760
X = 5760/4896
X = 1.17
Thus, this amount will be reached in 1.17 years, with which to calculate the number of months the following calculation must be performed:
1 = 12
0.17 = X
0.17 x 12 = X
2 = X
Thus, this amount will be reached in 1 year and 2 months, that is, in 14 months.
1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises?
Answers
Step by step explanation
12.5(7) + 11.9(8)=?
Answers
Answer:the answer is 182.7
Step-by-step explanation:brainliest please Sans Undertale out
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5th grade math. Correct answer will be marked brainliest.
Answers
2/4 - 1/4 please hep i know im not that good
for asking this