Answer:
\( {5}^{ - 7} \)
Step-by-step explanation:
You have to use the property of quotient of powers, you subtract the power of the fraction denominator from the numerator
Answer:
\( \frac{ {5}^{ - 4} }{ \frac{5}{3} } \)
\( {5}^{ - 4 - 3} \)
\( {5}^{ - 7} \)
\( \frac{1}{ {5}^{7} } \)
mark me as brainliest ❤️
Shen the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were clients who did Plan A and who did Plan B. On Thursday there were clients who did Plan A and who did Plan B. Shen trained his Wednesday clients for a total of hours and his Thursday clients for a total of hours. How long does each of the workout plans last?
The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B = 0.5 hours.
What would be the length of the sessions?The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:
2A + 12B = 9 hours
On Thursday, we would have
5A + 3B = 9 hours
2A + 12B = 9 Eqn 1
5A + 3B = 9 Eqn 2
Multiply equation 2 by -4
2A + 12B = 9
-20A - 12B = -36
2A - 20A = 9 -36
-18A = -27
Divide both sides by -18
A = 1.5 hours
For B, substitute A in the first equation
2(1.5) + 12B = 9
3 + 12B = 9
12B = 9 - 3
12B = 6
Divide both sides by 12
B = 0.5
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Complete Question:
Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?
Suppose that the perimeter of a rectangle is 34 feet, and the length is 7 feet more than the width. Find the width of the rectangle, in feet.
Answer:
5 feet
Step-by-step explanation:
Let's call the width of the rectangle "w". Then, the length would be "w + 7".
The perimeter of the rectangle is given as 34 feet, so we can set up an equation using the two sides of the rectangle:
2w + 2(w + 7) = 34
Expanding the second term and simplifying the equation, we get:
2w + 2w + 14 = 34
4w + 14 = 34
4w = 20
w = 5
Therefore, the width of the rectangle is 5 feet.
this figure to solve the problems.
3.65 m
2.24 m
2.57 m
2.24 m
3.65 m
Part A. Name the polygon.
cm
Part B. Enter the perimeter, in centimeters, of the
figure.
cm
Answer:
(a) Pentagon
(b) Perimeter= 1435cm
Step-by-step explanation:
Given
\(Side\ lengths: 3.65m, 2.24m, 2.57m, 2.24m, 3.65m\)
Though the question has a missing attachment, it can still be answered
Solving (a): The name of the polygon
Since we are given 5 side lengths, we can say that the polygon has 5 sides.
Such polygon is referred to as, a pentagon
Solving (b): The perimeter (in cm)
To do this, we simply add up the side lengths
\(Side\ lengths: 3.65m, 2.24m, 2.57m, 2.24m, 3.65m\)
\(Perimeter= 3.65m+ 2.24m+ 2.57m+ 2.24m+ 3.65m\)
\(Perimeter= 14.35m\)
Convert to cm
\(Perimeter= 14.35*100cm\)
\(Perimeter= 1435cm\)
Let’s say that you are the Business Analytics Head at a national bank. From the historical data, you have determined that there is a 0.33 probability that a customer would default on a particular loan. What is the probability that out of the next two customers who apply for the same loan, both would not default on the loan?
Answer:
Step-by-step explanation:
26/7
ment in
jate its
Fledge to
arlier ruling
Which of the following did you include in your
answer? Check all of the boxes that apply.
I summarized the court's argument.
I identified the premises and conclusion.
I analyzed the premises supporting the
decision.
I evaluated the arguments supporting the
decision.
I included background knowledge.
I recognized that the Constitution takes on
different meanings as societal values
change.
Answer:
ment in
jate itsment in
jate its
Fledge to
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Which of the following did you include in your
answer? Check all of the boxes that apply.
I summarized the coument in
jate its
Fledge to
arlier ruling
Which of the following did you include in your
answer? Check all of the boxes that apply.
I summarized the court's argument.
I identified the premises and conclusion.
I analyzed the premises supporting the
decision.
I evaluated the arguments supporting the
decision.
I included background knowledge.
I recognized that the Constitution takes on
different meanings as societal values
changert's argument.
I identified the premises and conclusion.
I analyzed the premises supporting the
decision.
I evaluated the arguments supporting the
decision.
I included background knowledge.
I recognized that the Constitution takes on
different meanings as societal values
change
Fledge to
arlier ruling
Which of the following did you include in your
answer? Check all of the boxes that apply.
I summarized the court's argument.
I identified the premises and conclusion.
I analyzed ment in
jate its
Fledge to
arlier ruling
Which of the following did you include in your
answer? Check all of the boxes that apply.
I summarized the court's argument.
I identified the premises and conclusion.
I analyzed the premises supporting the
decision.
I evaluated the arguments supporting the
decision.
I included background knowledge.
I recognized that the Constitution takes on
different meanings as societal values
changement in
jate its
Fledge to
arlier ruling
Which of the following did you include in your
answer? Check all of the boxes that apply.
I summarized the court's argment in
jate its
Fledge to
arlier ruling
Which of the following did you include in your
answer? Check all of the boxes that apply.
I summarized the court's argument.
I identified the premises and conclusion.
I analyzed the premises supporting the
decision.
I evaluated the arguments supporting the
decision.
I included background knowledge.
I recognized that the Constitution takes on
different meanings as societal values
changeument.
I identified the premises and conclusion.
I analyzed the premises supporting the
decision.
I evaluated the arguments supporting the
decision.
I included background knowledge.
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Step-by-step explanation:
xA radioactive isotope is decaying at a rate of 20% every hour. Currently there are 15 grams of the substance.
Questions:
A. Write an equation that will represent the number of grams present after n hours
B. How much will be left after 24 hours (one day)? (Round to the nearest hundredth)
C. After how many hours will there be approximately one gram left?
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
A. To represent the number of grams present after n hours, we can use the equation:
N(n) = 15 × (1 - 0.2)^n
Where:
N(n) is the number of grams present after n hours,
15 is the initial amount of the substance in grams,
0.2 represents the decay rate of 20% per hour, and
^n represents the exponentiation operation.
B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:
N(24) = 15 × (1 - 0.2)^24
Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.
C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:
1 = 15 × (1 - 0.2)^n
To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:
log(0.8)(1/15) = n
Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.
Therefore, the answers are:
B. After 24 hours, approximately 2.49 grams will be left.
C. After approximately 18.13 hours, there will be approximately one gram left.
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one characteristic of a "perceiving type" person is that he or she might.
A. be neat and tidy.
B. complete tasks on time.
C.Direct his or her attention to internal reflection.
D. tend to make more use of intuition in their approach of life.
A perceiving type of person tend to make more use of intuition in their approach of life.
The word "Perceive" means to become aware of through the personal senses.
Someone who is a perceiving type have a general tendency to form impressions of other people.A person who is perceiving in nature tends to create quick assumption of things..The Intuition of a perceiving person are always great.A perceiving person tend to think and form opinions based on series of observations of behaviors.Therefore, they perceive situation automatically as they are use to that way of life approach.
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A line passes through the point (10,-1) and has a slope of 1/2
Answer:
y = ½m + c. The slope 1/2 means that if you start at any point on the line and go to the right two and up one, you will hit the line again. That means the there are an infinite number of parallel lines that can have 1/2 as their slope.
Step-by-step explanation:
1. We want to know how much money Houston people would like to spend on
restaurants every month. So we randomly find 500 volunteers to do a survey
questionnaire. Identify the population.
A. 500 volunteers
B. Houston people
what are 1 step equations
Answer:
A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
Step-by-step explanation:
:D
93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
Verify directly that F is an antiderivative of f.
F(x) is an antiderivative of f(x) because F'(x) = f(x)
What is an antiderivative?An anti-derivative is the integral of a function
To verify that F is an antiderivative of f where
F(x) = √(3x² - 4) and f(x) = 3x/√(3x² - 4)
This means that F(x) = ∫f(x)
This implies that F'(x) = f(x)
So, we verify as follows
F(x) = √(3x² - 4)
Taking the derivative with respect to x, we have that
dF(x)/dx = d√(3x² - 4)/dx
Let u = 3x² - 4
So, dF(x)/dx = d√u/dx
= d√u/du × du/dx
= 1/(2√u) × du/dx
Now,du/dx = d(3x² - 4)/dx
= 6x
So,
dF(x)/dx = 1/(2√u) × du/dx
= 1/(2√(3x² - 4)) × 6x
= 1/(√(3x² - 4)) × 3x
= 3x/(√(3x² - 4))
= f(x)
So, F(x) is an antiderivative of f(x) because F'(x) = f(x)
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WELL GIVE YOU BRAINLIEST ASAP GRAPH
Question
Which relation is a function?
ITS ONLY 1 ANSWER CHOICE
Answer:
the last one (bottom right) x cannot be the same on any point so the last one is the only correct answer
Answer:
4th option
Step-by-step explanation:
The option which doesn't have more than one point on an x-value.
compute the arc length of the curve:
x(t)=2t^(3/2)+2, y(t)=2t-3, 0<=t<=2
The length of the arc is = \(\frac{2}{27}22^{\frac{3}{2} }\)m
What is Integration ?In mathematics, an integral lends numerical values to functions to represent concepts like volume, area, and displacement that result from combining infinitesimally small amounts of data. Integration is the action of locating integrals.
According to the given information
We can find the length of the arc by
L = \(\int\limits^a_b {\sqrt{\frac{dx}{dt} ^{2}+\frac{dy}{dt} ^{2} } } \, dt\)
Find the derivative of x w.r.t to t
dx/dt = \(3t^{\frac{1}{2} }\)
Find the derivative of y w.r.t to t
dy/dt = 2
Putting the values in above equation
We get
L = \(\int\limits^a_b {\sqrt{\frac{dx}{dt} ^{2}+\frac{dy}{dt} ^{2} } } \, dt\)
L= \(\int\limits^2_0 {\sqrt{9t+4} } \, dt\)
L = \(\frac{2}{27}(9t+4)^{\frac{3}{2} }\)
limit approaches from 0 → 2
Hence
The length of the arc is = \(\frac{2}{27}22^{\frac{3}{2} }\)m
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justin has x nickels and y dimes. He has a minimum of 15 coins worth at most 1$ combined determine one possible soltuiion with a set of inequalities
Answer:
Justin has 10 nickels and 5 dimes.
Step-by-step explanation:
Given that Justin has x nickels and y dimes, and he has a minimum of 15 coins worth at most $ 1 combined, to determine one possible solution the following calculation must be performed:
Nickel = 0.05
Dime = 0.10
15 x 0.05 + 0 x 0.1 = 0.75
14 x 0.05 + 1 x 0.1 = 0.80
13 x 0.05 + 2 x 0.1 = 0.85
12 x 0.05 + 3 x 0.1 = 0.90
11 x 0.05 + 4 x 0.1 = 0.95
10 x 0.05 + 5 x 0.1 = 1
So, Justin has 10 nickels and 5 dimes.
Find theValue of x
40°
70°
(5x+10)°
Value of an exterior angle of a triangle is equal to the sum of values of two opposite interior angles of a triangle.
therefore,\(\qquad\displaystyle \tt \dashrightarrow \: 5x + 10 = 40 + 70\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 110 - 10\)
\(\qquad\displaystyle \tt \dashrightarrow \: 5x = 100\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 100 \div 5\)
\(\qquad\displaystyle \tt \dashrightarrow \: x = 20\)
Value of x = 20°
Hey! there . Thanks for your question :)
Answer:
20° is the correct answer.Step-by-step explanation:
In this question we are given with two interior angles of the triangle that are 40° and 70° , also we are given an exterior angle that is (5x + 10)°. And we are asked to find the value of angle x.
Solution :-
For finding the value of angle x , we have to use exterior angle property of triangle which states that sum of opposite interior angles of triangle is equal to the given exterior angle. So :
Step 1: Making equation :
\( \longmapsto \: \sf{40 {}^{°} + 70 {}^{°} = (5x + 10) {}^{°} }\)
Solving :
\( \longmapsto \: \sf{110 {}{°} = (5x) {}^{°} +10 {}^{°} }\)
Step 2: Subtracting 10 on both sides :
\( \longmapsto \sf{ 110 {}^{°} - 10 {}^{°} = 5x + \cancel{10 {}^{°}} - \cancel{10 {}^{°} } }\)
We get ,
\( \longmapsto \sf{(5x ){}^{°} = 100 {}^{°} }\)
Step 3: Dividing both sides by 5 :
\( \longmapsto \dfrac{ \cancel{5}x {}^{°} }{ \cancel{5}} = \dfrac{ \: \: \: \: \cancel{ 100} {°}^{} }{ \cancel{5} }\)
On cancelling , we get :
\( \longmapsto \underline{\boxed{\red{\sf{ \bold{ x = 20 {}^{°} }}}}} \: \: \bigstar\)
Therefore , value of x is '20°'Verification :-
For verifying sum of both the interior angles is equal to given exterior angles. As we get the value of x as 20 we need to substitute it's value in place x and then L.H.S must be equal to R.H.S :
40° + 70° = 5(20°) + 10°110° = 100° + 10°110° = 110°L.H.S = R.H.STherefore , our answer is correct .
Hope , it'll help you! :)#\( \underline{ \sf{ \bold{ Keep \: Learning }}}\)jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level how far do they have to go to reach wreckage
Answer:
They have to go 30 m below sea level to reach wreckage.
Step-by-step explanation:
jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level.
Below sea level means = -40 m
Above sea level means = +10 m
It means,
-40 m + 10 m
= -30 m
Hence, they have to go 30 m below sea level to reach wreckage.
Please answer this correctly without making mistakes
Answer:
1st one, I think so. I'm pretty positive
Answer:
1st Option (4 Blocks)Step-by-step explanation:
So, in this image, there are 6 blocks in total!
The little guy standing in front would only be able to see the bottom two cubes, along with the top two, making 4 blocks in total! :3
#SpreadTheLove <3
What quadrilateral has one diagonal bisected y the other.
Answer:
kite
A quadrilateral is a kite if: one diagonal bisects the vertex angles through which it passes, or. one diagonal is the perpendicular bisector of the other diagonal.
Step-by-step explanation:
not %sure
#8 i
A parabola with its vertex at (2,5) and its axis of symmetry parallel to the y-axis passes through point (22,365). Write an equation
of the parabola. Then find the value of y when x = 12.
An equation is
Elio Mendoza
When x = 12, y =
Please help ASAP will give brainleist
Answer:
x = 48
Step-by-step explanation:
The triangle above is an isosceles triangle because it has two equal sides.
In an isosceles triangle, the two angles opposite the two equal sides are also equal to each other. This means that m<Y = m<Z.
Therefore:
2×x + 84 = 180° (sum of ∆)
2x + 84 = 180
Subtract 84 from both sides
2x = 180 - 84
2x = 96
Divide both sides by 2
2x/2 = 96/2
x = 48
UX ≅ UY, YZ ≅ WX, TZ ≅ VW, and UV ≅ TU. Complete the proof that ∠W≅∠Z.
This is the first question I have seen with this type of two column proof, and i do not want to get it wrong as a large portion of my score will be taken from me.
(There may have to be another row(s) added, which can be done with the "Add line" button)
Geometry, Proofs involving SSS(and CPCTC)
https://www.ixl.com/math/geometry/proofs-involving-sss
You are just couple of steps away from completing the proof.
So far you have concluded that two sides of triangles ZTX and WVY are congruent. You need to complete it for the third side and prove the triangles are congruent. Then use it to complete the proof.
Missing statement and reasons given below.
Statement Reason
12. WY = XZ Transitive property13. ΔZTX ≅ ΔWVY SSS congruency14. ∠W ≅ ∠Z CPCTC8. A bag contains 72 toffees. How many toffees can be stored in 122 such bags? Estimate the number of toffees to nearest tens.
9.The working of a metro station is controlled by 28 persons. Estimate the number of persons required to control the working of 88 such stations to the nearest tens.
Answer:
8.) 8,780 toffees can be stored in 122 such bags.
9.) 2,460 people are required to control the working of 88 such stations.
Step-by-step explanation:
QUESTION 8:
We know that there are 72 toffees per bag
So if we want to know how many toffees can be stored in 122 such bags:
72 x 122 = 8,784
ROUND IT TO THE NEAREST TENS:
Look at the digit to the right of the tens place: 8,784–>4. 4 and below means that the digit will be repkaced by 0 and the tens place remains the same.
So 8,784 rounded to tens is 8,780
Tye answer for question 9 is
2,460 (do the same thing)
HELP IM TIME
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen?
Answer:
Screen B is wider, because 5 and one-third is greater than 5.3..
Step-by-step explanation:
Got it correct on edge
!Please help!
Antoine is drawing a scale map of the park he uses a scale of 1cm : 15 paces. A pond is 75 paces from the front gate of the park how far is the pond from the gate on the map
Answer:
5
Step-by-step explanation:
i just did it
A grain silo can be modeled as a right cylinder topped with a hemisphere. Find the
volume of the silo if it has a height of 31 m and a radius of 5 m. Round your answer to
the nearest tenth if necessary. (Note: diagram is not drawn to scale.)
I hope this helps you.
The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.9 cm.
a. Find the probability that an individual distance is greater than 212.50 cm
b. Find the probability that the mean for 25 randomly selected distances is greater than 201.00 cm
c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?
a. The probability is
(Round to four decimal places as needed)
b. The probability is I
(Round to four decimal places as needed.)
c. Choose the correct answer below.
O A The normal distribution can be used because the mean is large.
B. The normal distribution can be used because the finite population correction factor is small.
OC. The normal distribution can be used because the probability is less than 0.5
OD. The normal distribution can be used because the original population has a normal distribution
Answer:
I am not sure if you're accustomed to using a z-score and table of probabilities or technology, so I will answer using both!
a) Since you're choosing one person from the population, you will use the mean and standard deviation from the population. z= (210.9-197.5)/8.6 = 1.56 Using a table of normal probabilities,
P(x>210.9)= 1-P(z<1.56)= 1- 0.9406=0.0594
Using technology: normalcdf(210.9, 1E99, 197.5, 8.6)=0.0596
b) Since you're calculating the population for a sample to occur, you need to get a mean of the sampling distribution and standard deviation of the sampling distribution.
Meanpop=Meansampling dist.=197.5
St. Devsampling dist.= Stdpopulation/√n = 8.6/√15 = 2.22
Using technology, P(X>196.20)= normalcdf( 196.20, 1E99, 197.5, 2.22) = 0.7209
c) You only have to worry about the sample size in a sampling distribution if you either do not know the shape of the distribution of the population or if the distribution of the population is not normally distributed. Since this population is normally distributed (as stated in the given information), then your sample size does not have to be greater than 30.
Step-by-step explanation:
Consider the probability statements regarding events A and
B below.
P(A or B) = 0.3
P(A and B) = 0.2
P(AB) =0.8
What is P(B)?
A) 0.1
B) 0.375
C) 0.25
D) 0.667
The calculated value of the probability of B is (c) 0.25
How to calculate the probability of BFrom the question, we have the following parameters that can be used in our computation:
P(A or B) = 0.3
P(A and B) = 0.2
P(A/B) =0.8
First, we have
P(A/B) = P(A and B)/P(B)
Substitute the known values in the above equation, so, we have the following representation
0.2/P(B) = 0.8
So, we have
P(B) = 0.2/0.8
Evaluate
P(B) = 0.25
Hence, the probability of B is 0.25
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Which ordered pair lies on the function f(x) = x2 + 3?
A) (–1,4)
B) (–1,–4)
C) (1,–4)
D) (–4,–1)
Answer:
(-1,4)
Step-by-step explanation:
to find out we just fill in the values to see if it’s true
(x,f(x))
4=-1^2+3
4=1+3
4=4
True
-4=-1^2+3
-4=1+3
-4=4
Not true
-4=1^2+3
-4=1+3
-4=4
Not true
-1=-4^2+3
-1=16+3
-1=19
Not true
Hopes this helps please mark brainliest
which of the following will form the composite function G(F(x)) shown below G(F(x)) = 4√x