If the number of seats that are in the last row is 1100 seats.
Number of seatsFirst row=20
Second row=22
Third row=24
A.P = 20,22,24,…
a=20
d=22−20=2
n=25
Using the formula of the sum of the first n terms of an A.P
Sn=n/2[2a+(n−1)d]
S25= 25/2 [2×20 +(25-1) 2]
S25 = 12.5 [40 +24 ×2]
S25= 12.5 [88]
S25= 1100
Therefore If a theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. The number of seats that are in the last row is 1100 seats.
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f(x) = 4x + 2 and g(x) = x2–2, find the value of f(2) +g(3)
Answer:
14
Step-by-step explanation:
f(2)=4(2)+2
f(2)=10
g(3)=2(3)-2
g(3)=6-2
g(3)=4
10+4=14
Answer:
17
Step-by-step explanation:
f(x) = 4x + 2
g(x) = x² - 2
f(2) = 4(2) + 2 = 10
g(3) = 3² - 2 = 7
10 + 7 = 17
Answer the following question. 5 A computer program now has 813,000,000 million users How is this number written in scientific notation? A 8.13 x 10 B 8.13* 10' C 8.13* 10" D 8.13* 10 C A Ов Ос OD
I need help which is it (A) (B) (C) or (D)
Answer:
The answer is A
Step-by-step explanation:
Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.
Answer: h is 5 and k is 2
Step-by-step explanation:
The equation of the transformed of the parent cube root function is
y = ∛(x-4) - 1.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
The given graph represents a transformation of the parent cube root function.
The Parent cube root function is
y = ∛(x -h) - k
where the value of h and k is equal to 0
h=0, k=0 in parent function
The graph changes direction at (0,0) in parent function.
From the given graph we can see that the graph changes direction at (4,-1) which means the graph is shifted 4 units to the right and 1 unit down
So, the value of h=4 and value of k=1
The equation of the transformed function,
y = ∛(x-4) - 1
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Ava's cat is 3 pounds heavier than her puppy. if their combined weight is 27 pounds, how much does her cat weight
Answer:
12
Step-by-step explanation:
(3+x)+x=27
2x+3=27
2x=24
x=12
Find the value of X.
Answer:
x = 6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
32+4 is 36
90-36 is 54
9 times 6 is 54
54+4 is 58
58+32 is 90
pls mark me brainliest :)
3. Jane Windsor financed a $5,900 ski boat with a 12% add-on interest installment loan for 12 months. Given the loan required a 10% down payment, determine the following: The amount of the finance charge? The amount of the finance charge rebate if the loan were to be paid after the 10th payment?
Answer:
multiply it by .12 then it says for 12 months, multiply it by 12 then
Step-by-step explanation:
Which of the following equations represent linear functions?
y=x2−3x
4x+y=5
y=|2x+1|
y=−5
Answer:
its y=-5x
Step-by-step explanation:
Why?
linear functions have only the slope, they dont include the y-intercept
PLEASE HELP PICTURE ATTACHED
Answer:
x=[tex]\frac{13}{30}+i\frac{\sqrt{251}}{30}[/tex]
Step-by-step explanation:
Answer:
I do not fully understand this question so I will try to answer it the best I can.
25x^2-10x^2-13x=-7
15x^2-13x=-7
That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.
Please answer this correctly without making mistakes
Answer:
No it is too high
Step-by-step explanation:
plz mark brainliest
Please help me this is due tomorrow
Answer:
9
Step-by-step explanation:
Please help!Please help me
Answer:
The answer is Thousandths
Answer:
Thousandths
Hope this helps!
Can you pls give brainly
The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0 : p=0.28 vs Ha : p<0.28 when the sample has n=800, and p^=0.217 with SE=0.01.
Required:
Find the value of the standardized z-test statistic.
Answer:
Z = -6.3
Step-by-step explanation:
Given that:
[tex]\mathbf{H_o :p= 0.28}[/tex]
[tex]\mathbf{H_o :p < 0.28}[/tex]
Since the alternative hypothesis is less than 0.28, then this is a left-tailed hypothesis.
Sample sixe n = 800
[tex]\hat p[/tex] = 0.217
The standard error [tex]S.E(p) = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]S.E(p) = \sqrt{\dfrac{0.28(1-0.28)}{800}}[/tex]
[tex]S.E(p) \simeq0.015[/tex]
Since this is a single proportional test, the test statistics can be computed as:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.217- 0.28}{0.01}[/tex]
Z = -6.3
The mixed number 1 7/8 can be expressed as 17/8 True False
Answer:
False
Step-by-step explanation:
1 7/8 =15/8
What is the value of X in this Diagram
I will give a brainlist for the correct answer
Answer: 31°
Step-by-step explanation:
180° - 149° = 31°
what is the absolute minimum and maximum of this graph
Answer:
The minimum is 0 because the lowest point the line reaches is 0. The maximum is infinity because the arrow keeps going up.
Answer:
There is no max since the arrow is continuous and the minimum is zero
Step-by-step explanation:
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)
Answer:
D divide both the numerator and denominator by cos(x)cos(y)
Step-by-step explanation:
just took the test
On 1st September 2014 there were 5400 trees planted in a wood.
On 1st September 2015, only 5184 of these trees were still alive.
It is assumed that the number of trees still alive is given by N = art
where / is the number of trees still alive t years after 1st September 2014.
a) Write down the value
c) Show that on 1st September 2040
the number of trees still alive is predicted
o have decreased by over 65% compared
with September 2014.
b) Show that r = 0.96
Answer:
1. a = 5400
2. r = 0.96
3. Percentage decrement = 65.4%
Step-by-step explanation:
Given
N = ar^t
Solving (a): Write down the value of a
a implies the first term
And from the question, we understand that the initial number of trees is 5400.
Hence,
a = 5400
Solving (b): Show that r = 0.96
Using
N = ar^t
When a = 5400, t = 1 i.e. the first year and N = 5184
Substitute these values in the above expression
5184 = 5400 * r¹
5184 = 5400 * r
5184 = 5400r
Solve for r
r = 5184/5400
r = 0.96
Solving (c): Show that the trees has decreased by over 65% in 2040
First, we need to calculate number of years (t) in 2040
t = 2040 - 2014
t = 26
Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left
N = 5400 * 0.96^26
N = 1868.29658019
N = 1868 (approximated)
Next, we calculate the percentage change as thus:
%Change = (Final - Initial)/Initial * 100%
Where the initial number of trees =5400 and final = 1868
%Change = (1868 - 5400)/5400 * 100%
%Change = -3532/5400 * 100%
%Change = -3532%/54
%Change = -65.4%
The negative sign indicates a decrements or reduction.
Hence, percentage decrement = 65.4% and this is over 65%
Which equation is the inverse of y = 9x2 – 4?
Answer:
C
Step-by-step explanation:
For edge
Answer:
correct C on e2021
Step-by-step explanation:
Kai sells a small magazine full of celebrity gossip to college students for $2.65 per copy. Hiring the printing press for one day, the only fixed cost, is $435 an issue. The variable cost of printing each issue is $0.82 per copy. The printer tells Kai the cost of hiring the press is to increase by $116 per day. If changing to color increases variable costs by $0.40, what is the percentage decrease in contribution margin resulting from the switch to color?
Answer:
Percentage decrease= 21.86%
Step-by-step explanation:
Giving the following information:
Selling price per unit= $2.65
Current variable cost= $0.82
Increase in variable cost= $0.4
To calculate the unitary contribution margin, we need to use the following formula:
Unitary contribution margin= selling price - unitary variable cost
Unitary contribution margin= 2.65 - 0.82
Unitary contribution margin= $1.83
New contribution margin= 2.65 - 1.22
New contribution margin= $1.43
Finally, the percentage decrease:
Percentage decrease= [1 - (1.43/1.83)]*100
Percentage decrease= 21.86%
There are 60 new houses being built in a neighborhood. Last month, 1/4 of them were sold. This month, 1/5 of the remaining houses were sold. How many houses are left to be sold.
Answer:
36
Step-by-step explanation:
Number of new houses = 60
Number of houses sold last month = (1/4) of 60
[tex]= \frac{1}{4}*60[/tex]
= 15
Remaining houses = 60 - 15 = 45
Number of houses sold this month = (1/5) of 45
[tex]=\frac{1}{5}*45\\\\= 9[/tex]
Number of houses that are left = 45 - 9 = 36
What fraction of this shape is shaded?
You must give your answer in its simplest form.
Type here
The fraction of the shape which is shaded in simplest form is 1/3.
The square in the diagram provided has a total of 12 boxes .
The number of shaded part is 4
To calculate the shaded fraction of the shape we have to use the formula:
Number of shaded part/ Total number of boxes present.
= 4/12
We can divide the numerator and denominator by 4 to get the simplest form.
= 1/3
The fraction of the shape which is shaded in simplest form is therefore
= 1/3.
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Brian bought 20 apples. He bought twice as many as Timmy. How many apples did Timmy buy?
Answer:
10 apples
Step-by-step explanation:
if Person a bought twice as many apples as person b then it would be ten considering 10 x 2 = 20
eqaution: 10 divided by 2
i need help!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°
Answer:
A C E
Step-by-step explanation:
The degree of the expression 4x5ymz is 10. What is the value of m?
Answer:
the answer is 4
Step-by-step explanation:
The table shows the weights of apples at a grocery store
Answer:
c
Step-by-step explanation:
I have to select which pair of triangles can demonstrate congruence. Any help?
Answer: Choice D is correct
You use the HL (hypotenuse leg) theorem here.
The hypotenuse is the side opposite the right angle. In this case, the two hypotenuse segments overlap perfectly, so you'll use the reflexive property. The tickmarks tell us that we have a pair of congruent legs.
The other choices don't have enough information to be able to say if the triangles are congruent or not.
The pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.
What is congruence in the triangles?The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
The side opposite the right angle is known as the hypotenuse. You will employ the reflexive characteristic in this instance since the two hypotenuse segments exactly overlap one another. We have a set of legs that are congruent, according to the tickmarks.
The information provided by the alternate options is insufficient to determine whether or not the triangles are congruent.
Thus, the pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.
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On average, Seattle gets 38 inches of rain each year. How many centimeters of rain do they get each year?
I'll give brainiest!
Answer:
88.9
Step-by-step explanation:
Could anybody please help me here from this picture? I am not sure which pair of sides can be congruent.
Answer: A) segment AB = segment AD
The diagram below pretty much says it all. The color coding indicates what is given (in blue). The segments in red are congruent because of the reflexive property. If we know the green stuff is true, then we have enough to use SAS.
There are 4 trucks for every 5 cars in a parking lot. If there are 80 cars, how many trucks are in the parking lot?
Answer:
There are 64 trucks!
Step-by-step explanation:
Janice had an unpaid balance of $2358.19 on her credit card statement at the beginning of January. She made a payment of $80.00 during the month, and made purchases of $99.50. If the interest rate on Janice's credit card was 4% per month on the unpaid balance, find her finance charge and the new balance on February1.
Answer:
$2,639.19
Step-by-step explanation:
Her balance at the end of the month is
$2358.19 - $80.00 + $99.50 = $2537.69
So the finance charge is 2537.69 * 0.04% = $101.50
and her new balance is $101.50 + $2537.69 = $2639.19