Answer:
a) Is multiplied by the original exponent.
Step-by-step explanation:
the power rule works like this:
you want to find the derivative of ax ⁿ
where n is the exponent and a is the coefficient
the derivative would equal (n ⋅ a)xⁿ⁻¹
e.g. you want to find the derivatives of 5x⁴
f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³
f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²
f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x
f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120
Aubrey's car used 4 gallons to travel 100 miles. How many miles can the car go on one gallon of gas?
Answer: 25 miles
Step-by-step explanation:
Divide total miles by total gallons.
100 / 4= 25 miles per gallon
What number is 10 times greater than 300?
The inequality for the given statement is 10x>300.
We need to find what number is 10 times greater than 300.
What is inequality?In Mathematics, equations are not always about being balanced on both sides with an 'equal to' symbol. Sometimes it can be about a 'not an equal to' relationship like something is greater than the other or less than. In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Let the unknown number be x.
Now, 10 times the number=10x
The number is 10 times greater than the 300.
That is, 10x>300
Therefore, the inequality for the given statement is 10x>300.
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D
Franklin needs 2.75 cups
of flour for every 1.5 cups
of sugar in his cookie
recipe. This will yield 3.5
dozen cookies. What is the
unit rate for sugar per
cookie? Round your
answer to the tenths place.
1.3 cups of sugar
The city library subscribes to
125 magazines at an
average cost of $23 a year
for each. What is the yearly
cost of all these magazines?
Answer:
Yearly Cost per each magazine=$23
Since there are 12 months in every year,
$23 × 12 =yearly cost
Therefore, $276 is equal to the yearly cost
In 0.356, which digit is in the thousandths place?
Answer:
6 is in the thousandths place
Step-by-step explanation:
Can somebody help me with this?
Answer: x=2
Step-by-step explanation:
We can see that ∠RTU and ∠STR make up ∠STU. Therefore, we add them together and set it equal to 114°.
24x+34x-2=114 [combine like terms]
58x-2=114 [add both sides by 2]
58x=116 [divide both sides by 58]
x=2
Now, we know that x=2.
12+8x10.00000000000000000
Answer:
92
Step-by-step explanation:
10.00000000000000000 is the same as just 10
so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80
no add the first value.
12+80=92
Suppose the population of a certain city is 3339 thousand. It is expected to decrease to 2694 thousand in 50 years. Find the percent decrease.
Answer:
-19.3%
Step-by-step explanation:
The percentage change in a value is computed from ...
percent change = ((new value) -(old value))/(old value) × 100%
= (2694 -3339)/3339 × 100% = -645/3339 × 100% ≈ -19.3%
The decrease in 50 years is about 19.3%.
7. Write the equation of the line that passes through the
point P (0,0), and is parallel to the line y = 7x - 8. Write
the answer in slope-intercept form.
Answer: y=7x
Step-by-step explanation:
To find the line that is parallel to the given line, we know that the slope will stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST stay the same. All we have to do is plug in the given point to find the y-intercept.
y=7x+b
0=7(0)+b [multiply]
b=0
Now, we know the equation is y=7x+0 or y=7x.
Which equation has a graph that is a parabola with a vertex at (-2, 0)?
y=-2x2
.y=(x + 2)2
O y = (x - 2)2
o y=x-2
Answer: B
y=(x+2)^2
Step-by-step explanation:
e2020
Answer:
B
Step-by-step explanation:
Brainliest? lol
if 10 days needed to earn 1 $ then how many days will take to earn 46$?
Find the h. c. f of 24, 30, 36
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \text{6}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \text{ \: H.C.F \: of \: 24, 30, 36}}[/tex]
[tex] \text{Step \: 1 : First \: of \: all \: find \: the \: prime \: factor \: of \: each \: number}[/tex]
[tex] \mapsto{ \sf{24 = \: 2 \: ∗ \: 2 \: ∗ \: 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \sf{30 = 2 \: ∗ \: 3 \: ∗ \: 5}}[/tex]
[tex] \mapsto{ \sf{36 = 2 \: ∗ \: 2 \: ∗ \: 3 \: ∗ \: 3}}[/tex]
[tex] \text{Step \: 2 : Take \: out \: the \: common \: prime \: factors \: of \: given \: number}[/tex]
[tex] \mapsto{ \sf{Common \: prime \: factors = 2 \: and \: 3 \: }}[/tex]
[tex] \text{Step \: 3 : \: Multiply \: those \: all \: common \: prime \: factors \: and \: the \: number \: which \: is \: obtained \: is \: h.c.f}[/tex]
[tex] \mapsto{ \sf{ \: H.C.F = Common \: prime \: factors}}[/tex]
[tex] \mapsto{ \sf{H.C.F = 2 \: ∗ \: 3}}[/tex]
[tex] \mapsto{ \boxed{\sf{H.C.F = 6}}}[/tex]
[tex] \text{∴ \: the \: H.C.F \: of \: 24 \: , \: 30 \: and \: 36 \: is \: 6. }[/tex]
[tex] \sf{Hope \: I \: helped !!}[/tex]
[tex] \sf{Best \: regards !!}[/tex]
~[tex] \text{ TheAnimeGirl}[/tex]
Dr. Jane is studying the growing population of a species of jellyfish in a body of water. Each year, she records the population of jellyfish. The first year, she recorded a population of 15 jellyfish. Every following year, the population increased by four times the previous year’s population. At this rate, what will be the jellyfish population in the 9th year of her study?
Answer:
983040
Step-by-step explanation:
Second Year : 15x4=60
Third Year : 60x4=240
Fourth Year : 240x4=960
Fifth Year : 960x4=3840
Sixth Year : 3840x4=15360
Seventh Year : 15360x4 = 61440
Eighth Year: 61440x4=245760
Ninth Year : 245760x4= 983040
Which two expressions are equivalent?
A. 5x - 5 and 5(x - 5)
B. 5(x - 5) and 5x - 25
C. 5x - 1 and 5(x - 5)
D. 5x(x - 1) and 5x - 5
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
please help , i don’t know how to do these
2) 94, 124, 154
3) 8, 12, 16
4) -428, -528, -628
5) - 98, -118, 138
6) 13, 18, 23
A golf ball is selected at random from a golf bag. If the golf bag contains 6 green balls, 5 red balls, and 9 brown balls, find the probability of the following event. The golf ball is green or red . The probability that the golf ball is green or red is nothing. (Type an integer or a decimal rounded to three decimal places as needed.)
Using it's concept, it is found that the probability that the golf ball is green or red is of 0.55.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 6 + 5 + 9 = 20 balls, of which 11 are green or red, hence the probability is given by:
p = 11/20 = 0.55.
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Please help me ASAP!!!
[tex] \huge \purple {\tt {{ (\frac{49}{64}) }^{ \frac{1}{2} } = \sqrt[2]{ \frac{49}{64} } = \frac{7}{8}}} [/tex]
Answer:[tex] \huge \pink {\tt {\frac{7}{8}}} [/tex]
Answer:
[tex] \boxed{ \bold{ \huge{ \sf{ \frac{7}{8}}}}} [/tex]
Step-by-step explanation:
[tex] \star \tt{ \: \: ( \frac{49}{64} ) ^{ \frac{1}{2} } }[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7 \times 7}{8 \times 8} ) ^{ \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{ {( \frac{ {7}^{2} }{ {8}^{2} }) }^{2} }}[/tex]
[tex] \hookrightarrow{ \tt{ { (\frac{7}{8} )}^{2 \times \frac{1}{2} } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} ) ^{ \cancel{2} \times \frac{1}{ \cancel{2} } } }}[/tex]
[tex] \hookrightarrow{ \tt{( \frac{7}{8} )}}[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 5x2 + 12?
The graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
What is graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the two functions is attached with the answer below. For the first graph, we will get the parabola whose vertex lies on the origin.
For the function h(x) = 5x² + 12 the graph will again parabolic having its vertex at ( 0,12) and the parabola is more compact than the parabola of the function F(x) = x².
Therefore the graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
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x+x/7+1/11(x+x/7)=60
Answer:
5 yes or good i'm not good morning guys
Answer:x= 48.126
Step-by-step explanation:
pls answer All of the above..
1) Solve the equation.
-0.06 m = 7.2
m =
2)Solve the equation.
= -1.2
n =
Answer:
1) m=0.0083....
Step-by-step explanation:
-0.06 divided by 7.2. that isolates m.
Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
Answer:
c. 625.91
Step-by-step explanation:
took the quiz an got 100%
The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.
We have:
His card has a billing cycle of 30 days and an APR of 14.75%.
Here the list data is not mentioned, clearly. Transactions with the amount.
As we know, the APR is the annual percentage rate, which is 14.75%.
Monthly percentage rate = 14.75/12 = 1.22%
But we can calculate the new balance with the formula:
Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance
Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
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Hannah had $237 in her
bank account at the start of
the summer. She worked for four
weeks and now she has $1685
in her bank.how much did Hannah make each week in her summer job
Answer:
$362
Step-by-step explanation:
Step 1:
$1685 - $237
Step 2:
$1448 ÷ 4
Answer:
362
Hope This Helps :)
The revenue for Company A was $239 million, compared to $467 million for Company B. The revenue for Company A was ____% of the revenue for Company B. (Round to the nearest tenth as needed.)
Company A's revenue was $239 million whereas Company B's was $467 million as a result revenue for Company A was equal to 52% of that for Company B.
What is the percentage?It shows the proportion between two integers when stated as a decimal fraction of 100 parts. It is a statistic used to compare two sets of data, and the sign % is used to represent it as a percentage.
It is given that, the revenue for Company A was $239 million, compared to $467 million for Company B.
We have to find the % by which A was revenue for Company B.
Suppose x% by which A was revenue for Company B.
⇒$467 of x =$239
⇒467×x=239
⇒x=239/467
⇒x=0.5177 ≈ 0.52
⇒x%=52%
Thus, the revenue for Company A was equal to 52% of that for Company B.
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Ora Nation
sela
Barney went to play laser tag for the day and spent a total of $48.75. The laser tag
arena charges $12.50 for the first game and $7.25 for each additional game. The cost
of the first three games is shown below.
Time E
Attempt
7 Hour
1 game
2 games
3 games
$12.50
$19.75
$27.00
The equation to determine the number of additional games, g, Barney played is
7.259 + 12.50 = 48.75
• Solve the equation to determine the number of additional games, g, Barney played
. What is the total number of laser tag games that Barney played?
Barney played a total of
games.
Activate
Answer:
The first blank is g=5 Barney played 6 games of lazer tag
Step-by-step explanation:
7.25g+12.50=48.75
First subtract 12.50 from 48.75
7.25g=36.25
then divide 7.25 from both side
g=5
thats how many games he played that cost 7.25 and he played one game that cost 12.50 so he played 6 games
2x = 14
Help please I am stuck how do I check this?
Answer:
x=7
Step-by-step explanation:
Can someone please help, ty!!
what is 2 + 2???????
i need help plz
Answer:
4
Step-by-step explanation: 2+2=4
because imagine if u had 2 dollars and your mom gave u another 2 dollars u will have 4 dollars
express each of the following percentages as a fraction. 45%
Answer:
9/20
Step-by-step explanation:
45% can be written as
= 45/100
= 9/20
Hope it will help u..
where is the result of -5+3 located in a number line?
Answer:
-2 is found to the left of the origin (0), in a more specific way, -2 is 2 down to the left of zero.
Step-by-step explanation:
what is a number in which the digit 7 is worth 70
Answer:
Tens, 70, 7x10'1