Answers
The two linear equations in this problem are:
a) d(t) = (3.1 mi/h)*tb) t(d) = d/(3.1 mi/h).How to find the linear equations?
a) First, we know the relation:
distance = speed*time.
In this case, we know that the speed is 3.1 miles per hour, so if the runner runs for t hours, we can write:
d(t) = (3.1 mi/h)*t
This is the linear equation that gives the distance as a function of time.
b) Now we want to get the time as a function of the distance, so we just need to isolate t,
t(d) = d/(3.1 mi/h).
This linear equation gives the time as a function of the distance d.
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Related Questions
what principle will amount to $4000 if invested at 8.5% compounded quarterly for 5 years?
Answers
Answer:
$2626.75
Step-by-step explanation:
First, let's set up the equation for this: [tex]4000 = P(1 + \frac{0.085}{4})^{4(5)}[/tex]
Now, we can simply divide [tex]\frac{4000}{(1+\frac{0.085}{4})^{20} }[/tex]
and we get P ≈ $2626.75
A study is testing the effectiveness of a new allergy medication. Sixty people who reported they have allergies volunteered to be part of the study and were randomly assigned to one of two groups, as shown in the design web.
Which of the following accurately describes the benefit of comparison in the experiment shown in the design web?
A) The level of allergic symptoms in both groups can be compared to see if the new medication had a significant effect.
B) The overall level of allergic symptoms can be used to determine if the new allergy medication had a significant effect.
C) The level of allergic symptoms in the group who received the medication can be used to determine if the medication had a significant effect.
D) The level of allergic symptoms in both groups cannot be compared to determine if the medication had a significant effect because one group only received a placebo.
Answers
Answer:
I'm pretty sure it is d
Step-by-step explanation:
me and my sister have the same allergies but we take different allergy medicine because it affects us differently meaning that not everyone has the same reaction to all medicines
The level of allergic symptoms in both groups cannot be compared to determine if the medication had a significant effect because one group only received a placebo accurately describes the benefit of comparison in the experiment shown in the design web. Thus option A is correct.
What is an experiment?A scientific experiment inside which you carry out a sequence of tasks and closely monitor their results to discover new information. An investigation is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that hasn't been tried before.
Although one sample only obtained a placebo inside the investigation depicted in the design web, it is difficult to compare the severity of allergic rhinitis in both groups to establish whether the drug had a substantial impact. This appropriately illustrates the advantage of comparison. Therefore, option A is the correct option.
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Question 2(Multiple Choice Worth 1 points)
(06.01 MC)
Classify the expression: −2x
A: Quadratic expression
B: Linear expression
C: Cubic expression
D: Exponential expression
Answers
Answer:
it is a linear expression
Answer:
B. Linear expression
Step-by-step explanation:
please help!!!
Events A and B are mutually exclusive. Find the missing probability.
11
17
6) P(B) = P(A or B) =
P(A) = ?
20
20
17
A) 1/15
B)
C)
E) None of these
5/6 0/-
D)
2014
Answers
The missing probability for the given mutually exclusive event is 3/10
What is Mutually Exclusive Event?Mutually exclusive events are those events that do not occur at the same time.
Here, Let P(A) be x,
P(B) = 11/20, P(A or B) = 17/20, P(A and B) = 0
By Addition theorem of Probability,
P(A or B) = P(A) + P(B) - P(A and B)
17/20 = x + 11/20 - 0
x = [tex]\frac{17}{20} - \frac{11}{20}[/tex]
x = 6/20
x = 3/10
Thus, The missing probability for the given mutually exclusive event is 3/10
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Answer:
C) 3/10
Step-by-step explanation:
Applying the Addition Theorem of Probability :
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Here :
P(A ∪ B) = 17/20P(B) = 11/20P(A ∩ B) = 0 (as they are mutually exclusive)Solving :
17/20 = 11/20 + 0 + P(A)P(A) = 17/20 - 11/20P(A) = 6/20 = 3/10(1-6i)-(3-4i)
please solve this perblom
Answers
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 = -2Aisha 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 =
Answers
Answer: estimation=24
Step-by-step explanation:
2.4 is rounded down to 2
so she would do 2×12=24
Which of the following is equal to tan O using coordinates on the unit circle?
А) У/ х
B) xly
C) x
D) y
Answers
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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Read 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.
Answers
Answer:
D. reference a question in well-known literature and provide an answer.
Step-by-step explanation:
a 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
Answers
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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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?
Answers
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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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 , ,
Answers
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?
Answers
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
Please answer as soon as possible as i need the answer fast
Answers
Answer:
[tex]\sf \dfrac{1}{4}[/tex]
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
From inspection of the diagram:
Total number of pawns = 16Total number of squares = 64[tex]\implies \textsf{P(landing on a pawn)} \sf = \dfrac{\textsf{Total number of pawns}}{\textsf{Total number of squares}}[/tex]
[tex]\implies \textsf{P(landing on a pawn)} \sf = \dfrac{16}{64}=\dfrac{1}{4}[/tex]
[tex]\sf probability : \bf 0.25[/tex]
Step-by-step explanation:The dimensions of a chess board is (8 × 8)There are 64 squares on a chess board.There are 8 black pawns and 8 white pawns.Total pawns in a chess board: (8 + 8) = 16 pawns on 16 squares.[tex]\sf Probability = \dfrac{favorable \ outcomes}{total \ outcomes}[/tex]
[tex]\dashrightarrow \ \sf probability : \ \bf \dfrac{16}{64}[/tex]
[tex]\dashrightarrow \ \sf probability : \ \bf \dfrac{1}{4} \ \ \approx \ \ 0.25 \ \ (as \ a \ decimal)[/tex]
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.
Answers
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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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.
$?
Answers
[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]
What is the equation of the line that has a slope of
-3 and goes through the point (1, -2)?
Answers
Answer:
Step-by-step explanation:
y + 2 = -3(x - 1)
y + 2 = -3x + 3
y = -3x + 1
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.
Answers
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:
the marathon runner runs 5/2 miles in 1/4 hour what is the unit rate?
Answers
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.
iready math number line
Answers
Answer:
the first equation or the one below it
Step-by-step explanation:
please mark me as brainliest
On a field trip to the planetarium, three students rode with their parents and the rest were evenly distributed on four buses. If 119 students went to the planetarium, how many were on each bus.
Answers
Answer:
29
Step-by-step explanation:
You do 119-3 because 3 students rode with their parents so then you do 116÷4=29
I need help with all 4 very fast since i got math next per in 20 min thanks
Answers
Answer:s=12
Step-by-step explanation:s divided by 24 equals 12
can someone help me with this question that is attached?
Answers
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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y = 6 ( x - 1/2 ) (x + 3) ?
Answers
Answer:y
=
6
(
x
+
5
4
)
2
−
147
8
Use the vertex form,
y
=
a
(
x
−
h
)
2
+
k
, to determine the values of
a
,
h
, and
k
.
a
=
6
h
=
−
5
4
k
=
−
147
8
Find the vertex
(
h
,
k
)
.
(
−
5
4
,
−
147
8
)
Step-by-step explanation:
let y= -11sin(4x-8)
what is the amplitude?
what is the period?
what is the phase shift?
Answers
If the equation is y = - 11sin(4x - 8). Then amplitude will be 11, the time period is 4, and the phase difference is 8.
What is a sinusoidal Function?It is a function that repeats itself in a particular time interval.
The sinusoidal function is given as
y= |A| sin(ωx - Φ) ...1
Where A is amplitude, ω is the time period, and Φ is the phase difference.
The equation is given below.
y = -11 sin(4x - 8) ...2
Comparing the equations 1 and 2, then we have
Amplitude will be 11, the time period is 4, and the phase difference is 8.
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Rewrite √-9-6 in complex number notation.
A. −6 − 3i
B. −6 + 3i
C. √3i -6
D. -6 -√-9
Answers
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]
Find the area of a piece of
carpet that measures 14 feet by 3
feet. Write your answer as a mixed
number.
Answers
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"
A student tosses a coin and then draws a card from a stack of 4 cards labeled 1 through 4
What is the sample space for this compound event?
{H, T, 1, 2, 3, 4}
{H1, T1, H4, T4}
{HT1, HT2, HT3, HT4}
{H1, T1, H2, T2, H3, T3, H4, T4}
Answers
Answer:
The answer is the longest one <3
Step-by-step explanation:
I took the test:
If the coin is tossed and a card is chosen from 1 to 4, then the total sample will be 8. Then the correct option is D.
What is a sample?A sample is a collection of well-defined elements. A sample is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.
A student tosses a coin and then draws a card from a stack of 4 cards labeled 1 through 4.
Then the total number of the sample will be
Total sample = 2 × 4
Total sample = 8
Then the sample is given below.
[tex]\rm Sample = \begin{Bmatrix}(H,1) & (H,2) & (H,3) & (H,4) \\\\(T,1) & (T,2) & (T,3) & (T,4) \\\end{Bmatrix}[/tex]
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Use the formula; SA= 2(L) + 2(w) + 2(h) to find the survface area for a rectangular prism.
Question: (length = 2.2) (width = 1.46) (Height = 6)
Please answer this because im not smart.
Answers
Answer:
The surface area is 19.32
Step-by-step explanation:
The solution in the image
your friend wants to sell his car toyota suv your friend did some online research on similar cars and found the following prices 13500, 12900,15300,13700,12000,. What do you think would be a reasonable price for your friend to sell the car? how did you come up with this price
Answers
1. A reasonable price for my friend to sell the car is $13,480.
2. This price is determined as an average of the prices of similar cars.
What is an average?An average is a typical value in a dataset.
An average is the mean of a set of numbers.
The average value can be computed by summing the set of numbers and dividing the result by the number of items.
Data and Calculations:Prices of similar cars:
A. 13,500
B. 12,900
C. 15,300
D. 13,700
E. 12,000
Sum = $67,400
Average = $ 13,480 ($67,400/5)
Thus, a reasonable price for my friend to sell the car is $13,480, which is the average price of similar cars.
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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)
Answers
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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