The average rate of change during this time interval is 400 population per year
The average rate of change during this time interval is expressed as:
Rate of change = change in population/change in timeChange in population = 25000 - 23000
Change in population = 2000Change in time = 2015 - 2010
Change in time = 5 yearsSubstitute into the formula;
Rate of change = 2000/5
Rate of change = 400
Hence the average rate of change during this time interval is 400 population per year
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Mrs. marks has to pay if she drives 300 miles. 25 + 0.30*m=
Answer:25.3
Step-by-step explanation:
Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30
0.03249 in standard form to 3 significant figures is
(A) 3.24 × 10−1
(B) 3.24 × 10−2
(C) 3.25 × 10−2
(D) 3.25 × 10−3
Gabe has a savings account at the local bank. He deposits $150 in his account every 2 months. Which equation models the relationship between the months that deposits are made, x, and the amount of money deposited in the account, y?
Answer:
y=150(x/2)
Step-by-step explanation:
y = 150(x/2)
y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.
x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.
With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).
Find ADC triangle's perimeter, if ABE triangle's perimeter is 10 and AE:AC=2:3
Answer:
give the dimensions of the figure on the paper
The population of New York state can be modeled by: 19.71 P(t) =
1 + 61.22e-0.03513tP is the population in millions
and t is the number of years since 1800
What was the population in 2020?
P(220) = [?] million
Round your answer to the nearest thousandth.
Answer:
19.193 million
Step-by-step explanation:
Put the given value in the formula and do the arithmetic.
P(220) = 19.71/(1 +61.22e^(-0.03513·220))
P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)
P(220) ≈ 19.193 . . . million
19.19293355
Nearest thousandth is 19.193
A convention center is in the shape of a rectangular pyramid with a height of 332 m. Its base measures 475 m by 571 m. Find the volume of the convention center. If necessary, round your answer to the nearest tenth
Answer:
30,015,566.7 m³ OR 3.0 x 10⁷ m³
Step-by-step explanation:
The formula for finding the volume of a rectangular pyramid is:
V = lwh/3
where l = length
w= width
h = height
(475)(571)(332)/3 = 30,015,566.7 m³ = 3.0 x 10⁷
Which of the following is NOT an equivalent expression for the confidence interval given by 161.7
Choose the correct answer below.
O A. 161.7 +27.8
B. 175.6 -13.9
O C. 175.6 + 13.9
OD. (161.7.189.5)
According to the confidence interval given, the non-equivalent expression is:
A. [tex]161.7 \pm 13.9[/tex]
The interval given is:
[tex]161.7 \leq \mu \leq 189.5[/tex]
Which can also be written as: (161.7.189.5)
The point estimate is the halfway point of the interval, hence:
[tex]\overline{x} = \frac{161.7 + 189.5}{2} = 175.6[/tex]
The margin of error is half the difference of the bounds, hence:
[tex]M = \frac{189.5 - 161.7}{2} = 13.9[/tex]
According to the point estimate and to the margin of error, the interval can also be written as:
[tex]175.6 - 13.9 \leq \mu \leq 175.6 + 13.9[/tex]
[tex]175.6 \pm 13.9[/tex]
Hence, the only expression which is non-equivalent is:
A. [tex]161.7 \pm 13.9[/tex]
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The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
Answer:
[tex]\frac{4\sqrt{3} }3}[/tex]
Step-by-step explanation:
Since it is an equilaterla triangle, we can see the side opposite to that of side length 4 is 60 degrees. Since the other angle is a right angle (90 degrees), we can find that the other side is 30 degrees (the degrees add up to 180). We can also see that this is a 30-60-90. We can see that the side x, through the identity (you can find 30-60-90 identity online), we see that the side x is [tex]\frac{4}{\sqrt{3}}[/tex]. However, it is also asking us to simplify this, so we multiply the top and bottom by [tex]\sqrt{3}[/tex] and get [tex]\frac{4}{\sqrt{3} } = \frac{4\sqrt{3} }{3}[/tex]
Solve the following for x. Show all work. x+3/5 =2
Answer:
x+3/5=2
or,x+0.6=2
or,x=2-0.6
x=1.4
h(r) = r^2 + 11r - 26
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller s =
larger r =
2) What is the vertex of the parabola?
The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).
What are the zeros and vertex of the function?Given the function in the question:
h(r) = r² + 11r - 26
To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.
Using factoring:
r² + 11r - 26 = 0
Find two numbers whose sum is 11 and whose product is -26.
The numbers are -2 and 13.
Factor the equation:
(r - 2)(r + 13) = 0
Hence:
r - 2 = 0 and r + 13 = 0
Therefore, smaller r = -13, larger r = 2.
Next, we determine the vertex of the function:
Using the formula for the x-coordinate of the vertex, which is given -b/2a.
Here, the coefficient of r² is 1 (a = 1),
The coefficient of r is 11 (b = 11).
Substituting these values into the formula, we get:
r = -b/2a
= -11/( 2×1 )
= -11/2
The x-coordinate of the vertex is -11/2.
To find the y-coordinate, we can substitute r = -11/2 value back into the function:
h(r) = r² + 11r - 26
h(-11/2) = (-11/2)² + 11(-11/2) - 26
= 121/4 - 121/2 - 26
= 121/4 - 242/4 - 104/4
= (121 - 242 - 104)/4
= -225/4
Therefore, the vertex is (-11/2, -225/4).
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What percent of 80 is 60
Answer:
80% of 75 is 60
Step-by-step explanation:
0.80x=60
x=60/0.80
x=75
The length of a man's shadow is directly proportional with his height.
At the same time of day, a man who is 1.8 meters tall casts a 25.2
meter shadow and his son casts a 21 meter shadow. What is the
height of the man's son, in meters? If necessary, round to the nearest
tenth.
Answer:
The man's son height is 1.5m
Step-by-step explanation:
[tex]\frac{x}{21} =\frac{1.8}{25.2}[/tex]
[tex]\frac{21x1.8}{25.2}[/tex]
21x1.8= 37.8
37.8 ÷ 25.2= 1.5
Hope this helps
sorry if i got it wrong
Which table of ordered pairs represents a proportional relationship?
Answer:
C)
Step-by-step explanation:
Because Its equivalent
tom measured his frisbee from the center to the outside and found it to be 6 inches what is the approximate circumference of tom frisbee
Answer: 37.68 inches
A frisbee is round so its a circle. And the formula of circumference of a circle is 2πr (r = 6 inches and π = 3.14)
So, 2πr = 2 * 3.14 * 6
2πr = 37.68 inches
Need help a lot stuck
The answer is A
ok done. Thank to me :>
HELP!! I'm not sure what goes in the blank.
Answer:
10[tex]sin^{2} ([/tex]β[tex])[/tex]
Step-by-step explanation:
We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10[tex]sin^{2} ([/tex]β[tex])[/tex] on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10[tex]sin^{2} ([/tex]β[tex])[/tex].
You can also use double angle formulas from the previous step:
(sin(2β) = 2 sin(β) cos(β))and find that:
5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =
10[tex]sin^{2} ([/tex]β[tex])[/tex] cos(β)
But since cos(β) is already present, we can see that the answer is 10[tex]sin^{2} ([/tex]β[tex])[/tex]
A restaurant bill comes to $28.35. Find the total cost if the tax is 6.25% and a 20% tip is left on the amount before tax.
Bill was for $28.35. A 20% tip would come to $5.67. If we add this tip to the $28.35 bill, we get a total of $28.35 + $5.67 + 0.0625($28.35)
= $35.79 (total)
please give brainlist
Rewrite the expression with rational exponents.
Answer:
([tex]\sqrt[5]{x}[/tex])^7
Step-by-step explanation:
to cancel out the radical you do the exponent inside and divide it by the out side one so it will be 7/5 so make it x to the expontent of 7/5 and to do rational exponets it will be (^5radicalx)^7
Find the slope of the line that passes through the given points. (4, - 3) and (9. - 7) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The slope is (Type an integer or a simplified fraction.) O B. The slope is undefined.
Answer:
-4/5
Step-by-step explanation:
Answer: A. -4/5
Step-by-step explanation:
Slope Formula: y2 - y1 / x2 - x1
-7 - (-3) = -4
9 - 4 = 5
slope = -4/5
Correct me if I am incorrect.
What is auto insurance?
Answer:
the second option.
a policy that pays to get your vehicle replaced or repaired incase of an accident.
Step-by-step explanation:
The dance team held 2 fundraisers to earn money for uniforms. During the second fundraiser, the team raised $450. The team raised a total of $620 for uniforms during both fundraisers. How much money did the dance team raise at the first fundraiser?
Answer:
The dance team raised 170$ during the first fundraiser
Step-by-step explanation:
to find how much the first fundraiser earned let's make an equation and make the first fundraiser the variable x
The equation would be:
x+450=620
so we would take away 450 from both sides
x+450-450=620-450
which would make the equation
x=170
meaning that the first fundraiser raised 170$
Cylinder height of 8 inches with hemisphere withdiameter of 6 inches what the volume
PLEASE ANSWER ILL GIVE 5 STARS AND A HEART!!!
Answer:
120
Step-by-step explanation:
5x6 = 30
30x4= 120
7. A boutique is offering a 25% discount on purchase made in cash. Calculate the cash price Janelle paid for articles totaled to $465.
Answer:
$348.75
Step-by-step explanation:
$465 * 25%= 116.25
465-116.25 = $348.75
Types of Angle Relationships
Listen
Question
If two angles are supplementary, then the sum of their measures is _[blank] degrees.
Question
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What number correctly fills in the blank in the previous sentence?
Question
Enter your answer as a number, like this: 42
а
Answer: The answer is 180°.
Explanation: Two angles are called supplementary when their measures add up to 180 degrees, therefore the answer is 180 degrees.
(64/8/ 4 + 7 – 2) • 5 =
Answer:
35
Step-by-step explanation:
Let me know if I got it right
If f(x) = 4x2 + 2x + 7, find the value of f(-5).
=
A. -103
B. -83
C. 97
D. 117
The sequence, 20, 27, 34, 41, 48... represents the number of NEED HELP ASAPPPPP!!!strawberries Sandy picked from her garden
last week, starting with the first day of the week.
(a) What is the recursive formula for the sequence?
(b) What is the explicit formula for the sequence?
(c) How many strawberries will Sandy pick on the tenth day?
Answer:
Either (c) or (a), (B also looks like a good answer, but I'd go for c)
Step-by-step explanation:
If I'm inincorrect, I apologize!
If 20 students have only airpods,
10 students only have beats, and 30
students have beats in total how
many students have both beats and
airpods?
Answer:
There should be 20 students that have both Beats and AirPods.
Step-by-step explanation:
There are 50 students in total.
20 students have only AirPods and 30 students have Beats. Out of the 30 who own Beats, there are 10 students that have ONLY Beats.
30 - 10 = 20.
It's a tricky question, but this is the correct answer!
Hope This Helps!
Math Algebra 1 Honors Unit 4 that's what it is
Answer:
Unit 4- Expressions and Equations: In this unit, students build on their knowledge from unit 2, where they extended the laws of exponents to rational exponents. Students apply this new understanding of number and strengthen their ability to see structure in and create quadratic and exponential expressions.