Answer:
21.54
Step-by-step explanation:
27.24 - 5.7
= 21.54
can someone help me with this question that is attached?
The value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2
Determining the value of a functionFrom the question, we are to determine the value of f(g(x)) in the form a + bxⁿ
From the given information,
[tex]f(x) = \frac{x}{x+5}[/tex]
and
[tex]g(x) = x^{2} -5[/tex]
Then,
[tex]f(g(x)) = \frac{(x^{2} -5)}{(x^{2} -5) +5}[/tex]
∴ [tex]f(g(x)) = \frac{x^{2} -5}{x^{2} }[/tex]
Simplifying
[tex]f(g(x)) = \frac{x^{2} }{x^{2} } -\frac{5}{x^{2}}[/tex]
[tex]f(g(x)) = 1 -\frac{5}{x^{2}}[/tex]
[tex]f(g(x)) = 1 -5x^{-2}[/tex]
Hence, the value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2.
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the marathon runner runs 5/2 miles in 1/4 hour what is the unit rate?
Step-by-step explanation:
Divide the two numbers.
5/2 / 1/4
Flip the 2nd fraction and multiply:
5/2 * 4/1
20/2
10
So the marathon runner travels at a unit rate of 10 MPH.
Need help thank you
Aisha estimates the product of 12 and 2.4 by rounding 2.4 to the nearest whole. She rounded 2.4 to
then she multiplied it by 12. Her estimation was
. Next, she multiplied 12 x 2.4 =
Answer: estimation=24
Step-by-step explanation:
2.4 is rounded down to 2
so she would do 2×12=24
find the volume of a right prism with base area 32 cm² and height 1.5 cm
Answer:
1536
Step-by-step explanation:
volume=baseareaxheight
. =32cmsquarex1.5cm
. =1536cm
If the answer is correct please vote
Drag each tile to the correct box. Consider the given functions f, g, and h. x -1 0 1 2 3 4 f(x) -2 1 4 7 10 13 A graph of function g on a coordinate plane where the function intersects the Y-axis at 1 and the X-axis at minus 4. Place the tiles in order from least to greatest according to the average rate of change of the functions over the interval [0, 3]. function h function g function f , ,
Answer:
G, F, H
Step-by-step explanation:
Lily helped Mr Cruz cross the road earlier today. After a short introduction of themselves, Lily found out that she is 50 years younger than Mr Cruz. Given that Mr Cruz will be 6 times as old as Lily in 4 years, how old is Mr Cruz now?
Answer:
56 years old
Step-by-step explanation:
50 / ( 6 - 1 ) = 10 = Lily's age 4 years later
10 - 4 = 6 = Lily's age now
6 + 50 = 56
Which of the following is equal to tan O using coordinates on the unit circle?
А) У/ х
B) xly
C) x
D) y
The expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.
[tex]\tan\theta=\dfrac{b}{a}[/tex]
Here, (a) is the base side, (b) is the opposite side.
Let suppose y is the length of opposite side in a unit circle and x is the length of base side. Thus, the value of tan theta is:
[tex]\tan\theta=\dfrac{y}{x}[/tex]
Hence, the expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
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Find the area of a piece of
carpet that measures 14 feet by 3
feet. Write your answer as a mixed
number.
Answer:
42 ft ^ 2
Step-by-step explanation:
All we have to do is multiply 14 and 3. That gives us 42.
Answer:
3/4 sq ft
Step-by-step explanation:
1/4*3=3/4
im pretty sure u meant 1/4 not 14 bc it says "mixed number"
The graph below could be the graph of which exponential function?
A. F(x) = 3x
B. Fx) = 3 • (1.4)^x
O C. F(x) = 3•(0.4)^x
O D. F(x) = 3 • (-1.4)^x
Answer:
The correct option is B.
Step-by-step explanation:
The only given function that is an exponential decay function is;
B. Fx) = 3 • (1.4)^x
What is Exponential decay function?Now, the general formula for exponential decay function is;
f(x) = abˣ
where b is the decay factor.
here, we have,
we know that,
Now, the decay factor which we will call the base of the exponent must be greater than 1 .
and, we have,
Also, the exponent x must be negative to be called an exponential decay function.
so, from the given graph we get,
Looking at the given options, only Option B meets the criteria for an exponential decay function.
The only given function that is an exponential decay function is;
B. Fx) = 3 • (1.4)^x
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Translate and solve: 220% of what number is 3300?
Note: Enter your answer as a whole number.
Audrey deposited $80 in an account earning 10% interest compounded annually.
To the nearest cent, how much will she have in 3 year Use the formula 8-p(1 + r), where B is the balance (final amount) p is the principal (starting amour.), ris the interest rate expressed as a decimal, and t is the time in years.
$?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$80\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=80\left(1+\frac{0.10}{1}\right)^{1\cdot 3}\implies A=80(1.1)^3\implies A=106.48[/tex]
The graph below describes the dependence of the time traveled from point A to point B, on the speed at which the traveling occurs. With the help of the graph answer the following questions: 2 4 t, h 6 8 10 12 14 16 200 400 600 800 v, km/h How much time is necessary for traveling between points A and B, when the speed is 800 km/hour; 250 km/hour; 120 km/hour?
The time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively
How to determine the time taken to travel?Given the distance and speed, the time taken to move between points is calculated using:
Time = Distance/Speed
The required graph is not given.
So, we assume that the distance between both points is:
Distance = 1800km
Using the assumed value above, we have:
When speed = 800km/hr
Time = 1800/800
Time = 2.25 hours
When speed = 250km/hr
Time = 1800/250
Time = 7.2 hours
When speed = 120km/hr
Time = 1800/120
Time = 15 hours
Hence, the time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively
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(1-6i)-(3-4i)
please solve this perblom
Answer:
-2 - 2i
Step-by-step explanation:
open the bracket
1 - 6i - 3 + 4i
1 - 3 + 4i - 6i
-2 - 2i
Answer:
-2 - 2i
Step-by-step explanation:
Complex numberAdd the real numbers (1 and (-3) ) and add the complex numbers [ 4i and (-6i) ]
(1 - 6i) - ( 3 - 4i) = 1 - 6i - 3 + 4i
= 1 -3 - 6i + 4i
= -2 - 2i
We have to open the brackets. To do that Multiply (-1) with (-3) & 4i. Now, complex numbers are (-6i) and 4i. So combine them. 6i and 4i have different signs. So, subtract and the result will have bigger number sign. Here the bigger number sign is negative. So, -6i + 4 i = -2iNow combine real numbers. 1 - 3 = -2Read the excerpt from President Reagan’s Address at Moscow State University. Some people, even in my own country, look at the riot of experiment that is the free market and see only waste. What of all the entrepreneurs that fail? Well, many do, particularly the successful ones; often several times. And if you ask them the secret of their success, they'll tell you it's all that they learned in their struggles along the way; yes, it's what they learned from failing. President Reagan includes the underlined question to
A. encourage audience interest and participation.
B. warn listeners against becoming entrepreneurs.
C. raise an objection to his own opinion and counter that argument.
D. reference a question in well-known literature and provide an answer.
Answer:
D. reference a question in well-known literature and provide an answer.
Step-by-step explanation:
Hewwo!
Guys I needa little help!
[tex] \rm \: cos \: 45 + sin \: 160[/tex]
Answer:
The Answer is: 0.744747
Step-by-step explanation:
cos 45 + sin 160
0.525322 + 0.219425
0.744747
hope this helps if it wasn't too late lol
I need help with all 4 very fast since i got math next per in 20 min thanks
Answer:s=12
Step-by-step explanation:s divided by 24 equals 12
Is it SSS, SAS, ASA, SAA, or HL?
Answer:
it’s SAA
Step-by-step explanation:
ur wlcm, i am sure of my answer
brainliest please?
demand for a certain product is random. It has been estimated that the monthly demand of the product has a normal distribution with a mend of 390units. The unit price of product is ETB 25. Ordering cost is ETB 40 per order and inventory carrying cost is estimated to be 35 percent per year. Calculate economic order quantity (EOQ)
The economic order quantity of the product with the demand of 390 units is 1392.86 units.
What is an economic order quantity?This refers to an inventory management technique that helps make efficient inventory management decisions.
The formula for economic order quantity is [tex]\sqrt{2 * D * S / H}[/tex]
Given data
Demand = 390 units.
Unit price of product is ETB 25.
Ordering cost is ETB 40 per order
inventory carrying cost is estimated to be 35 percent per yer
EOQ = [tex]\sqrt{2*390*25/40*0.35}}[/tex]
EOQ = 19,500 / 14
EOQ = 1392.85714286
EOQ = 1392.86 units
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Evaluate the equation. H divided by 3 = 69 2/3
Answer:
138
Step-by-step explanation:
Do the inverse. 69 2/3 multiplied by 3 is 138.
Rewrite √-9-6 in complex number notation.
A. −6 − 3i
B. −6 + 3i
C. √3i -6
D. -6 -√-9
Answer:
B) - 6 + 3i
Step-by-step explanation:
Complex number notation:
i² = -1
[tex]\sf \sqrt{-9}-6=\sqrt{3^2*i^2}-6[/tex]
[tex]\sf = 3i - 6[/tex]
Hi can you answer theese 4 questions if they are correct I will give you brainily
Answer:
1. The answer for the first one is 7/8
2. the 1/4 is larger
3. the 1/2 inch tadapole is larger (note: the smaller the number is in fraction, the larger it is. If the number is larger in the bottom, the number in terms of fraction is smaller.
4. 3 inchies(sorry mispelling)
Step-by-step explanation:
3/8(total)+4/8 = 7/8
brainly points pls
In November 2005, an international study to assess public opinion on the treatment of suspected terrorists was conducted (“Most in U.S., Britain, S. Korea, and France Say Torture is OK in at Least Rare Instances,” Associated Press, December 7, 2005). Each individual in random samples of 1000 adults from each of 9 different countries was asked the following question: “Do you feel the use of torture against suspected terrorists to obtain information about terrorism activities is justified?” Responses from Italy, Spain, France, the United States, and South Korea are summarized in the table below. Based on these data, is it reasonable to conclude that the response proportions are not the same for all five countries? Use a = 0.01 to test the appropriate hypotheses.
Based on the responses, the significance level, and the p-value, we can conclude that the response proportions are not the same for the countries.
What can be concluded about the response proportions for these countries?The null hypothesis is that the response proportions are the same. The alternate hypothesis is that the response proportions are not the same.
The sample size is large enough for a Chi-Square test to be used because the expected counts are all greater than 5.
Running a Chi-Square analysis shows that the P-value to be 0.000.
The P-Value is less than the significance level of 0.01 so the null hypothesis is rejected. This means that the alternate hypothesis of the response proportions not being the same is true.
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What is the probability that a registered voter voted in the election?
Answer:
0.4714, a simplified 47%
Step-by-step explanation:
:)
Jeremiah created a game where he flips a fair coin 3 times. Jeremiah wins the game if he flips heads at least 2 times. What are all the possible outcomes to win, based on the first two flips? What is the probability of winning, based on the first two flips? Move words and fractions to the table to answer the questions.
The probability of getting head at least two times will be 11%
What is probability?
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability will be:-
Sample outcomes are { H,H,H,T,T,T}
Favourable outcomes are { H }
So the probability of getting at least two times head will be:-
P = ( 1 / 3 ) x ( 1 / 3 ) = 0.11 = 11%
Therefore the probability of getting head at least two times will be 11%
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Answer:
The other persons explaition was difficult
Step-by-step explanation:
Steve cycled 35 miles in 2 1⁄2 hours. What is the average speed that Steve traveled?
Answer:49 miles per hour
Step-by-step explanation: 14 miles times 35 miles = 490
but the 0 will not matter so steve was going 49 miles per hour
HOPE THIS HELPS YOU:)
If a=2-√5/2+√5 and b=2+√5/2-√5 find (a+b)³
Step-by-step explanation:
really ? you need help here ... - that means you did not even look at it once ...
a = 2 - sqrt(5)/2 + sqrt(5)
b = 2 + sqrt(5)/2 - sqrt(5)
a + b = 2 + 2 = 4 (the rest add up to 0)
(a+b)³ = 4³ = 64
Answer:
64
Step-by-step explanation:
Given :
a = 2 - √5/2 + √5b = 2 + √5/2 - √5Evaluating (a + b)³ :
(2 - √5/2 + √5 + 2 + √5/2 - √5)³(2 + 2 - √5/2 + √5/2 + √5 - √5)³(4)³64a box in the shape of a rectangular prism has a length of 3 5/8 inches a width of 2 1/2 inches and a height of 4 inches. what is the volume of the box
The volume of the rectangular prism box with the given dimensions is: 36.25 cubic inches.
What is the Volume of a Rectangular Prism?Volume of a rectangular prism = (length)(width)(height)
Dimensions of the given rectangular prism box:
Length = 3 5/8 = 3.625 inchesWidth = 2 1/2 = 2.5 inchesHeight = 4 inchesVolume of the rectangular prism box = (3.625)(2.5)(4) = 36.25 cubic inches.
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is 300 greater than 8/9?
Answer:
yes.
Step-by-step explanation:
300>8/9
300>0.888888889
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Is 300 greater than 8/9?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Yes, 300 is greater than [tex]\bold{\dfrac{8}{9}}[/tex].
Remember, proper fractions (fractions with a numerator less than the denominator) are less than 1.
When comparing an integer (like 300) with a fraction (like 8/9), first you need to work out whether or not the fraction is a proper fraction.
Then, you also need to pay attention to the signs, because they may seem trivial, but they are in fact highly significant.
Therefore,
300>8/9 (300 is definitely greater than a number less than 1, right?)
(and the ">" sign means "greater than"
Good luck with your studies.[tex]\rule{200}{2}[/tex]
iready math number line
Answer:
the first equation or the one below it
Step-by-step explanation:
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