If the next number is 125% of the previous number, that means that the previous number is increasing by 25% each time.
The multiplier for increasing by 25% is:
(100 + 25) ÷ 100 = 1.25
So on day one, there are 64 responses. That means on day two, there will be:
---> 64 x 1.25 = 80 responses
On day 3, there will be:
---> 80 x 1.25 = 100 responses
Finally, on day 4, there will be:
---> 100 x 1.25 = 125 responses
A quicker way of getting this would be to do:
64 x 1.25³ since you are multiplying by 1.25 3 times
--------------------------------------------------
Answer:
125 responses
Answer:
125
Step-by-step explanation:
meh . . .
The function k(x) = (g · h)(x) is graphed below, where g is an exponential function and h is a linear function.
If g(x) = -3 x , which option below give the formula for h?
A.) h(x) = -3x
B.) h(x) = -2x
C.) h(x) = 2x
D.) h(x) = 3x
Without the equation for k(x), we can't definitively determine the formula for h(x). However, if we knew k(x), we'd divide it by g(x) (-3x in this case) to find h(x). For instance, if k(x) is 6x, h(x) will be -2.
Explanation:To find the formula for h, we need to divide k(x) by g(x). The formula for the function k should be given in addition to the graph in order for us to solve this. Assuming that g(x) is indeed -3x, we would divide the formula for k(x) by -3x to find h(x). However, without the expression for k(x), we can't definitively select an option for h(x) from your list.
Example:
If k(x) was 6x, and g(x) was -3x, h(x) would be -2. You would find this by dividing k(x), which is 6x, by g(x), which is -3x; resulting in -2. So, for this example, option B would be correct.
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Pls help I am stuck, or having a brain fart I cant tell yet.
Answer:
-4r³s -3r² +2rs -5
Step-by-step explanation:
The powers of r in each of the terms from left to right are ...
3, 1, 0, 2
Arranging these in descending order gives the sequence of terms ...
-4r³s -3r² +2rs -5
Find the perimeter and the area of the composite figure
a. What is the approximate perimeter of the concrete region? Use 3.14 for π
b. What is the exact area of the concrete region? Leave answers in terms of π.
Answer:
Part A) The approximate perimeter of the concrete region is [tex]P=64.66\ yd[/tex]
Par B) The exact area of the concrete region is [tex]A=(8\pi+162.4)\ yd^{2}[/tex]
Step-by-step explanation:
Part A) What is the approximate perimeter of the concrete region?
we know that
The perimeter of the composite figure is equal to
[tex]P=\pi r+2(15.2)+ 11.5+10.2[/tex]
The radius of semicircle is
[tex]r=8/2=4\ yd[/tex]
substitute
[tex]P=(3.14)(4)+2(15.2)+ 11.5+10.2=64.66\ yd[/tex]
Part B) What is the exact area of the concrete region?
we know that
The area of the composite figure is equal to the area of semicircle plus the area of rectangle plus the area of triangle
so
[tex]A=\frac{1}{2} \pi r^{2} +(15.2)(8)+\frac{1}{2}(10.2)(8)[/tex]
The radius of semicircle is
[tex]r=8/2=4\ yd[/tex]
[tex]A=\frac{1}{2} \pi (4)^{2} +(15.2)(8)+\frac{1}{2}(10.2)(8)[/tex]
[tex]A=8\pi+121.6+40.8[/tex]
[tex]A=(8\pi+162.4)\ yd^{2}[/tex]
The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. Without looking in the hat, dan takes out a marble at random. He replaces the marble and then takes out another marble from the hat. What is the probability that dan takes out a blue marble in both draws?
Answer:
1/9
Step-by-step explanation:
There are a total of 21 marbles. In the first draw, there are 7 blue marbles out of 21. In the second draw, since he replaces the marble, there are still 7 blue marbles out of 21. So the probability is:
P = (7/21)²
P = 1/9
Which expressions are equivalent to 2(-6c+3)+4c Choose all answers that apply: (Choice A) A -8c+6 (Choice B) B 3(-4c+2) (Choice C) C None of the above
Answer:
if your on kahn acadmy assignment eve if your not, the answer is both a and b
Step-by-step explanation:
these both are correct
The equivalent expression to 2(-6c+3)+4c is -8c + 6. After distributing and combining like terms, it is clear that Choice A (-8c + 6) is equivalent to the given expression, while Choice B is not.
Explanation:The student needs to determine which expressions are equivalent to the given expression 2(-6c+3)+4c. To find the equivalent expressions, we need to distribute and combine like terms.
First, distribute the 2 across the parentheses: 2(-6c) + 2(3) = -12c + 6.Next, combine the like terms by adding 4c to the result: -12c + 6 + 4c = -8c + 6.Now we have simplified the original expression to -8c + 6, which is equivalent to Choice A.
To check Choice B, 3(-4c + 2), we distribute the 3: 3(-4c) + 3(2) = -12c + 6. This is not equivalent to our simplified expression -8c + 6, because the coefficients of c are different. Therefore, Choice B is not equivalent.
Thus, the correct answer is Choice A: -8c + 6.
16. Peter works part time for 3 hours every day and Cindy works part time for 2 hours every day.
a. If both of them get $4.50 an hour, write an inequality to compare Peter’s and Cindy’s earnings.
b. What should Cindy’s per-hour income be so that she earns at least $14 a day? Write an inequality and an explanation of how to solve it.
Answer:
Part A)
4.50 × 3 > 4.50 × 213.5 0 > 9Part B)
r ≥ 7Explanation:
1) The earnings are calculated multiplying the number of hours by the hourly rate.
2) The hourly rate of both Peter and Cindy is the same: $ 4.50 / hour
3) Let the variable used for computing the number of hours be h.
4) The number of hours Peter works every day is 3 hours, so, using the letter P to name Peter's earnings, the expression to calculate his earnings is:
P = 4.50 × 35) Similarly, the expression to calculate Cindy's earnings would be:
C = 4.50 × 2Answering part A)
You have to write an inequality to compare Peter's and Cindy's earnings:
4.50 × 3 > 4.50 × 213.5 0 > 9This is, the earnings of Peter are greater than the earnings of Cindy.
Part B),
You have to write an inequality to calculate Cindy's per-hour income so that she earns at least $ 14 a day.
Here, C ≥ 14, because the sign ≥ means greater than or equal to, meaning the the earnings are greater than or equal to 14.Thus, since she works 2 hours per day, the inequality becomes 2 × r ≥ $ 14, where r is the per-hour income.To solve it follow these steps:Given: 2r ≥ 14
Divide both sides by 2: r ≥ 14 / 2
Simplify: r ≥ 7
That means that Cindy's per-hour income should be at least $7 and hour so that she earns $14 a day.
student's course grade is based on one midterm that counts as 10% of his final grade, one class project that counts as 25% of his final grade, a set of homework assignments that counts as 35% of his final grade, and a final exam that counts as 30% of his final grade. His midterm score is 64, his project score is 90, his homework score is 91, and his final exam score is 64. What is his overall final score? What letter grade did he earn (A, B, C, D, or F)? Assume that a mean of 90 or above is an A, a mean of at least 80 but less than 90 is a B, and so on.
Answer:
i would say a B
Step-by-step explanation:
i dont know it correct but i times the grade by the percentage and added them together
Please answer this question correctly for 25 points and brainliest!!
Answer:
35°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of the subtended arc.
x = 70°/2 = 35°
A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = –16t2 + 36t + 9. A. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. B. What is the ball's maximum height? 1.13 s; 29.25 ft 1.13 s; 31.5 ft 2.25 s; 9 ft 1.13 s; 69.75 ft
Answer:
approximately 1.13 seconds is when the max height is obtained
29.25 ft is the max height
Step-by-step explanation:
Maximum/minimum you should automatically go to vertex if you are dealing with a parabola or a quadratic; I'm talking about something in this form y=ax^2+bx+c.
The x-coordinate of the vertex can be found by computing -b/(2a)
Or in this case the t-coordinate.
a=-16
b=36
c=9
Plug in (you don't need c for this) -36/(2*-16)=-36/-32 (reduce)=9/8
(divide; put in calc 9 divided by 8)=1.125
t represented the seconds so we done with part A which is 1.125 seconds
Now for B, all you have to do once you found the x- (or t- in this case) coordinate, plug it into your equation that relates x (or t in this case) and y (or h in this case).
h=-16(1.125)^2+36(1.125)+9
I'm just going to put -16(1.125)^2+36(1.125)+9 into my calculator exactly as it appears which is 29.25 ft.
how many times greater is the value of the digit 8 in 82.77 than the value of the digit 8 in 20.18
answers
1. 10 times
2. 100 times
3. 1,000 times
4. 10,000 times
if you know the answer plz answer fast I am timed on this test
Answer:
Option 3. 1,000 times
Step-by-step explanation:
we know that
The value of digit 8 in 82.77 is equal to 80
The value of digit 8 in 20.18 is 0.08
so
Divide 80 by 0.08
80/0.08=1,000 times
The value of the digit 8 in 82.77 is greater than and the value of the digit 8 in 20.18 by 1000.
The value of each digit in 82.77 is:
8 = tens
2 = units
7 = tenth
7 = hundredth
The value of each digit in 20.18 is:
2 = tens
0 = units
1 = tenth
8 = hundredth
The value of 8 in 82.77 is tens(10) and the value of 8 in 20.18 is hundredth (0.01).
Difference in value = 10 / 0.01 = 1000
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s the following relation a function?
x y
1 −2
1 −3
2 1
3 −2
yes
no
Answer:
no
Step-by-step explanation:
This is not a function because the same x value goes to 2 different y values x=1 goes to both -2 and -3. This would fail the vertical line test
Janet and Nadia each play basketball. Nadia has won twice the number of games Janet has. Is it possible for Janet to have won 10 games if the sum of the games Nadia and Janet have won together is 24?
Answer: It is not possible for Janet to have won 10 games.
Step-by-step explanation:
Let be "x" the number of games Janet won.
We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.
Then, we express this situation with this equation:
[tex]x+2x=24[/tex]
So, let's check if it is possible for Janet to have won 10 games. Substitute [tex]x=10[/tex] into the expression:
[tex]10+2(10)=24\\\\10+20=24\\\\30=24\ (This\ is\ not\ true)[/tex]
Therefore, it is not possible for Janet to have won 10 games.
Answer:
not possible
Step-by-step explanation:
Let be "x" the number of games Janet won.
We know that Nadia has won twice the number of games Janet has and the sum of the games Nadia and Janet have won together is 24.
Then, we express this situation with this equation:
So, let's check if it is possible for Janet to have won 10 games. Substitute into the expression:
Therefore, it is not possible for Janet to have won 10 games.
Driving a piling into a harbor bottom, a pile driver sinks the piling 24 inches on the first stroke, 18 inches on the second stroke, and 13 1/2 inches on the third stroke. If the sequence is continued, how far will the piling be driven down on the 5th stroke?
Answer:
7.6 inches to the nearest tenth.
Step-by-step explanation:
18/24 = 3/4.
13.5 / 18 = 3/4.
This is a Geometric sequence with common ratio 3/4 or 0.75.
We need to find the fifth term of the sequence.
5th term = a1 (r)^(5 - 1)
= 24 * (0.75)^(5-1)
= 24 * 0.316406
= 7.6 inches.
The piling will be driven down 9 inches on the 5th stroke following the decreasing pattern of the pile driver.
The sequence of the piling being driven down by the pile driver shows a decreasing pattern. To predict the depth on the 5th stroke, we need to identify the pattern of decrease.
First stroke: 24 inches
Second stroke: 18 inches (24 - 6 = 18)
Third stroke: 13.5 inches (18 - 4.5 = 13.5)
Looking at the pattern, the reduction from the first to the second stroke is 6 inches, and from the second to the third stroke is 4.5 inches.
We can infer that the pattern of decrease is by 1.5 inches each time (6 - 4.5 = 1.5). So:
Fourth stroke decrease: 4.5 - 1.5 = 3 inches
Third stroke depth: 13.5 inches
Fourth stroke depth: 13.5 - 3 = 10.5 inches
Fifth stroke decrease: 3 - 1.5 = 1.5 inches
Fourth stroke depth: 10.5 inches
Fifth stroke depth: 10.5 - 1.5 = 9 inches
Can anyone help me with this?
Reduce the fraction
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf \cfrac{-20t^5u^2v^3}{48t^7u^4v}\implies \cfrac{-20}{48}\cdot \cfrac{t^5u^2v^3}{t^7u^4v^1}\implies \cfrac{-5}{12}\cdot \cfrac{v^3v^{-1}}{t^7t^{-5}u^4u^{-2}}\implies \cfrac{-5}{12}\cdot \cfrac{v^{3-1}}{t^{7-5}u^{4-2}} \\\\\\ \cfrac{-5}{12}\cdot \cfrac{v^2}{t^2u^2}\implies \cfrac{-5v^2}{12t^2 u^2}[/tex]
Can someone help me with this question
5 gallons 3 quarts + 4 gallons 2 quarts=?
Step-by-step explanation:
5 gallons 3 quarts +4 gallons 2 quarts
5.3
+
4.2
=9.5 gallons
Answer: 10 gallons and 1 quart.
Explanation: 5 gallons + 4 gallons = 9 gallons. 3 quarts + 2 quarts = 5 quarts, and 4 quarts make a gallon. So, 10 gallons and 1 quart.
Translate "Five is less than twenty-three" into a mathematical expression.
Answer:
5< 23
Step-by-step explanation:
we know that
A mathematical expression of five is 5
A mathematical expression of less is <
A mathematical expression of twenty-three is 23
therefore
"Five is less than twenty-three" is equal to
5< 23
Answer:
5<23
Step-by-step explanation:
Here are some common facts:
* Mathematical expression of five is 5
* Mathematical expression of less is <
* Mathematical expression of twenty-three is 23
Based on the facts given above, we can conclude that:
"Five is less than twenty-three" is equal to
5< 23
Tags: mathematical expression, mathematical expression case study, translation of expressions
If a plane flies 900 mph in calm air and the rate of the wind is r miles per hour then the rate of the plane flying with the wind can be represented as
An amusement park charges a $20 admission fee and $3 for each ride. Which equation can be used to determine c, the total cost of a day at the amusement park, based on n, the number of rides?
c = 3n + 20
n = 3c + 20
c = 20n + 3
n = 20c + 3
Answer:
C = 3n+20
Step-by-step explanation:
C= The Cost
n= the number of rides
So if you get on 2 rides
that would be $6
because 3x2=6
or 3+3
and just add in the 20 to get in
so the sum is
26 if you were to get on 2 rides
The total cost of a day at the amusement park, combining both the fixed admission fee of $20 and the variable cost of rides at $3 each, can be represented by the equation c = 3n + 20. Here, 'c' signifies the total cost and 'n' is the number of rides.
Explanation:In this problem of an amusement park charging a $20 admission fee and $3 for each ride, we need to find an equation that can be used to determine c, the total cost of a day at the amusement park, based on n, the number of rides.
Given that the admission fee is a fixed cost of $20 and each ride costs $3, these elements can be combined into an equation where the total cost (c) is equal to the cost of each ride multiplied by the number of rides (3n), plus the fixed cost of admission ($20).
Therefore, the correct equation as per the given conditions is c = 3n + 20.
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what is the measure of PRQ
The angle of intersecting chords is found by adding the two arcs intercepted by the angle and dividing that by 2.
PRQ = (102 + 70) / 2
PRQ = 172 /2
PRQ = 86 degrees.
When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle. The measure of ∠PRQ is 86°.
What is the Angles of Intersecting Chords Theorem?When two chords cross within a circle, the angle created is one-half the total of the arcs intercepted by the angle and its vertical angle.
The measure of ∠PRQ is,
∠PRQ = (102°+70°)/2
∠PRQ = 172° / 2
∠PRQ = 86°
Hence, the measure of ∠PRQ is 86°.
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Need help with a math question
Answer:
75%
Step-by-step explanation:
Thee are 8 juniors... from this 6 are female.
So the probability of the student is female given its junior)=6/8=3/4=.75=75%
Answer:
20 percent
Step-by-step explanation:
6/30
6÷30=.2
Find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4
Answer:
x^2/4 +y^2/9 = 1
Step-by-step explanation:
The standard form is ...
(x -h)^2/a^2 +(y -k)^2/b^2 = 1
for an ellipse centered at (h, k) with semi-axis measures "a" and "b". The largest of "a" or "b" is the semi-major axis; the smaller, the semi-minor axis.
Here, the major axis is vertical, so b > a.
Since the center is not given, we assume it is the origin: h = k = 0. The semi-axes are a=2, b=3, so the equation is ...
x^2/4 +y^2/9 = 1
What is the frequency of the function y = 3sin2x
a. 2/3
b. 3
c. 2
d. None of the above.
Answer:
d. None of the above.
Step-by-step explanation:
The period is the change in x required to make a change of 2π in the argument to the sine function:
2x = 2π
x = π
The frequency is the reciprocal of the period, so is 1/π. There are no matching answer choices.
The frequency of the function y = 3sin(2x) is 2, making the correct answer c. 2.
The frequency of the function y = 3sin(2x) is 2.
To determine the frequency of a sine function, you look at the coefficient in front of the x within the sine function. In this case, the coefficient is 2, so the frequency is 2.
Therefore, the correct answer is c. 2.
what is the simplest form of the radical expression? 6sqrt2/sqrt8
Answer:
3
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\frac{6\sqrt{2} }{\sqrt{8} }[/tex]
Simplify the denominator
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
Fraction reduces to
[tex]\frac{6\sqrt{2} }{2\sqrt{2} }[/tex] ← cancel the radical
= [tex]\frac{6}{2}[/tex] = 3
Cheryl workers 43.75 hours this week at a rate of $8.15 per hour. She gets paid overtime(time and a half) for any hours over 40. What is cheryls total pay before taxes
Answer:
371.84$
Step-by-step explanation:
Normal hourly rate = $8.15 per hour
Overtime rate = time and a half = 1.5 x normal hourly rate = 1.5 x $8.15 = $12.23 per hour
Given that she works 43.75 hours,
= 40 normal hours + 3.75 Overtime
Total Pay,
= (40 x normal rate) + (3.75 x Overtime rate)
= (40 x $8.15) + (3.75 x $12.23)
= $326 + $45.84
= $371.84
Solve for n. 6n − 7 = 11
a. 3
b. -3
c. -1/3
d. 1/3
[tex]
6n-7=11 \\
6n=18 \\
n=\boxed{3}
[/tex]
The answer is a.
Hope this helps.
r3t40
Will give brainliest
Series to Sigma Notation
Write the following series in sigma notation.
6+10+14+18+22+26+30
Example image shown below.
[tex]\displaystyle\\\sum_{n=1}^7(4n+2)[/tex]
At Dante party 16 children share 192 crayons. At Maria party 13 children share 234 crayons. Each party splits the crayons equally among the children attending. How many more crayons does each child at Maria's party get than each child at Dante's party?
Answer:
Each child in Maria's party got 6 crayons more that each child in Dante's party
Explanation:
1- In Dante's party:
192 crayons are equally split among 16 children
This means that:
Each child got [tex]\frac{192}{16} = 12[/tex] crayons
2- In Maria's party:
234 crayons are equally split among 13 children
This means that:
Each child got [tex]\frac{234}{13}=18[/tex] crayons
3- getting the difference:
Difference = 18 - 12 = 6 crayons
This means that:
Each child in Maria's party got 6 crayons more that each child in Dante's party
Hope this helps :)
James wants to promote his band on the internet. Site A offers website hosting for $4.95 per month with a $49.95 startup fee. Site B offers website hosting for $9.95 per month with no startup fee. For how many months would James need to keep the website for Site A to be a better choice than Site B?
Answer:
Part 1) see the procedure
Part 2) [tex]4.95x+49.95 < 9.95 x[/tex]
Part 3) [tex]x > 9.99\ months[/tex]
Part 4) The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months
Step-by-step explanation:
Part 1) Define a variable for the situation.
Let
x ------> the number of months
y ----> the total cost monthly for website hosting
Part 2) Write an inequality that represents the situation.
we know that
Site A
[tex]y=4.95x+49.95[/tex]
Site B
[tex]y=9.95x[/tex]
The inequality that represent this situation is
[tex]4.95x+49.95 < 9.95 x[/tex]
Part 3) Solve the inequality to find out how many months he needs to keep the website for Site A to be less expensive than Site B
[tex]4.95x+49.95 < 9.95 x[/tex]
Subtract 4.95x both sides
[tex]4.95x+49.95-4.95x < 9.95 x-4.95x\\ 49.95 < 5x[/tex]
Divide by 5 both sides
[tex]49.95/5 < 5x/5\\ 9.99 < x[/tex]
Rewrite
[tex]x > 9.99\ months[/tex]
Part 4) describe how many months he needs to keep the website for Site A to be less expensive than Site B.
The minimum number of months, that he needs to keep the website for site A to be less expensive than site B is 10 months
A direct variation function contains the points( -8,-6) and (12,9). Which equation represents the function ?
Answer:
y = (3/4)x
Step-by-step explanation:
1) Find the slope of the line. As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15. Thus, the slope, m, is m = rise / run = 15/20 = 3/4
2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.
3) write the equation of the line: y = mx + b becomes y = (3/4)x
[tex]\bf (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{12}~,~\stackrel{y_2}{9}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{9-(-6)}{12-(-8)}\implies \cfrac{9+6}{12+8}\implies \cfrac{15}{20}\implies \cfrac{3}{4}[/tex]
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-6)=\cfrac{3}{4}[x-(-8)]\implies y+6=\cfrac{3}{4}(x+8) \\\\\\ y+6=\cfrac{3}{4}x+6\implies y=\cfrac{3}{4}x[/tex]
How to find the distance between two points
Answer:
Use the distance formula:
d = sqrt. ( y2 - y1)^2 + (x2 - x1)^2)
Please mark me brainliest :D Thanks!!