From the statements that are provided in the question, the statement that best describes when the plans is Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.
What is word problem?A word problem are sentences describing a real-life scenario where a problem needs to be solved by mathematical calculation.
Ideally, for the best health benefits, such as increasing strength and aerobic and reduction in heart diseases, it is suggested to do a combination of strength training and aerobic training for at least five times a week.
Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week. is the correct statement
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Obiri uses his bicyde to travel x km from his house to work He then uses 2½hours at a rate of 5km/h to his place of work If the distance from his house to work is 15 km. fond x
Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled. Speed is inversely correlated with time and directly correlated with distance.
What are time, distance, and speed?
Speed tells us how swiftly or slowly an object is moving. While distance, as the name suggests, relates to the amount of space between two sites, time refers to the period of time separating two events. Speed is calculated as Distance x Time.
Time is calculated as Time = Distance Speed.
Distance is calculated as Distance = Speed x Time.
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What’s the middle point of -24 and 36
The middle point of the given numbers are 6 .
What does middle value mean?The median or the middle value is the number in the middle {2, 3, 11, 13, 26, 34, 47}, which in this instance is 13 since there are three numbers on either side.
To find the median value in a list with an even amount of numbers, one must determine the middle pair, add them, and divide by two.
The middle point of two numbers usually refers to the average of them .
thus the given numbers are - 24 and 36
This can be calculated by :
=> - 24 + 36 / 2
=> 12 / 2
=> 6
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b) suppose that pearson’s test of goodness of fit will be used to evaluate the claim that half of restaurants go out of business every three years, with a significance level of 0.01.(approximately) what will the chance of a type i error for this test be?
The Pearson's test of goodness fit can be used to check the significance of 0.01 but there would not be any type 1 error.
A statistical test that measures how well sample data matches a distribution from a population with a normal distribution is referred to as goodness-of-fit. Simply put, it hypothesizes if a sample is skewed or represents the data found in the actual population.
The goodness-of-fit test determines the difference between the actual and predicted values of the model in the case of a normal distribution. The chi-square is one of the approaches for determining goodness-of-fit.
Goodness-of-fit testing is a statistical technique used to draw inferences about observed values.
For example, check to see if a sampling group truly represents the entire population. That is, they establish the relationship between measured and predicted values in a model. When used in a decision-making process, goodness-of-fit tests allow you to foresee future trends and patterns.
Hence we can conclude that there would not be any error to the problem with a significance of 0.01 .
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In the first week of July, a record 1,040 people went to the local swimming pool. In the second week, 105 fewer people went to the pool than in the first week. In the third week, 140 more people went to the pool than in the second week. In the fourth week, 347 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
If In the first week of July, a record 1,040 people went to the local swimming pool, in the second week, 105 fewer people went to the pool compared to the first week, in the third week, 140 more people went to the pool than in the second week and 347 fewer people went to the pool in the fourth week than in the third week, the overall percentage decrease in the number of pool-goers over these four weeks, i.e., from the first week to the fourth week is 30%.
As per the question statement, 1,040 people went to the local swimming pool, in the second week, 105 fewer people went to the pool compared to the first week, in the third week, 140 more people went to the pool than in the second week and 347 fewer people went to the pool the fourth week than in the third week.
We are required to calculate the overall percentage decrease in the number of pool-goers over these four weeks.
To solve this question, we simply need to calculate the exact number people who went to pool in the fourth week, and then, calculate the percentage decrease in the number of pool goes, with respect to the record of the first week.
(1040 - 105 + 140 - 347) = [(1040 + 140) - (347 + 105)] = (1180 - 452) = 728,
That is, 728 people attended the pool in the fourth week.
Therefore, the decrease in the number of pool-goers from the first week till the fourth week = 312
Therefore, the overall percentage decrease in the number of pool-goers over these four weeks, i.e., from the first week to the fourth week will be,
[(312/1040) * 100]
= [{312/(104 * 10)} * 100]
= [(312/104) * (100/10)]
= (3 * 10)
=30%
Percentage: In mathematics, a percentage is a dimensionless number or ratio that is expressed as a fraction of 100, and is often denoted using the percent sign, "%"To learn more about percentage, click on the link below.
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At its farthest point, the moon is
252,088 miles away from Earth.
Jillene said the moon is about
250,000 miles away from Earth.
To what place did Jillene round
the distance?
The moon is 252,088 miles from Earth at its farthest point. The Jilene travel distance rounding the corner is 250000 miles.
Given that,
The moon is 252,088 miles from Earth at its farthest point.
According to Jillene, the moon is located roughly 250,000 miles from Earth.
We have to find where did Jillene travel distance rounding the corner.
From the given,
We have distance as 252088 miles.
We can say the approximation of the given miles.
Which we can approximately write as
250000 miles
Therefore, the Jilene travel distance rounding the corner is 250000 miles.
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1. Is 8.6 x 107written in scientific notation?
Justify your response.
4) Which one of these pictures is not like the others? Use ratios to explain your reasoning. (From Unit 2, Lesson 1) co ΝΗ e M
We are shown three pictures and asked to identify which one of them is not like others.
Let us find the ratio of width and length of each inscribed cricle.
Picture L:
Width = 3 units
Length = 4 units
Ratio = 3/4 = 0.75
Picture M:
Width = 4 units
Length = 8 units
Ratio = 4/8 = 0.50
Picture N:
Width = 9 units
Length = 12 units
Ratio = 9/12 = 0.75
As you can see, picture L and N has the same ratio of width and length that is 0.75 but the picture M has a different ratio of width and length that is 0.50
Therefore, we can conclude that picture M is not like others.
Line p has an equation of y=–5/6x–5. Line q includes the point (9,–4) and is parallel to line p. What is the equation of line q?
If line q is parallel to line p.The equation of line q will be y =-5/6 x + 3.5
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
m =(y₂-y₁)/(x₂-x₁)
It is given that, Line p has an equation of y=–5/6x–5. Line q includes the point (9,–4) and is parallel to line p.
The slope of line p is -5/6.
If two lines are parallel the slope of the equation will be the same.
As a result, the slope of line q is -5/6.
The line passes through the point (9,–4) with slope -5/6 is,
y - y₁ = m (x -x₁)
y - (-4) = -5/6(x-9)
6(y+4) =-5(x-9)
6y+24 = -5x + 45
6y = -5x + 45 -24
6y = -5x +21
y =-5/6 x + 3.5
Thus, if line q is parallel to line p. The equation of line q will be y =-5/6 x + 3.5
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A football team receives the ball on their own 50-yard line. They lose of 20 yards on the first play. What yard line is the ball on? (Please helppp!!)
If they give up 20 yards on the opening play, they're out. The ball is on the 30-yard line.
The starting line is the 50-yard line.
The new yard line following the first play Equals (The yard line following the first play) - (The number of yards lost)
As the football team lost 20 yards after the first play.
After the second play, the new yard line is 50 - 20 = 30 yards.
After the second play, the new yard line is 30.
The ball was on the 30-yard line at the end of the second play.
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at the beginning of the day the stock market goes up 30 1/2 points .at the end of the day the stock market goes down 120 1/4 points what is the total chnage in the stock market from the day beginning of the day to the end of the day. PLSSS HURRY ITS INPORTANT PLSSSSSSSSSSSSSSSSSSSSSSSS HURRY
The total chnage in the stock market from the day beginning of the day to the end of the day is -89 3/4 points.
How to calculate the value?A stock market simply means the market where shares and stocks are sold.
In the information illustrated, at beginning of the day the stock market goes up 30 1/2 points and at the end of the day the stock market goes down 120 1/4 points.
The change will be the the operation of the numbers through the use of addition when it goes up and subtraction when it comes down. This will be:
= 30 1/2 - 120 1/4
= -89 3/4
The change is -89 3/4 points.
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Kalani had a lot of science homework last week. She started off with 3/4 hour on Monday. Every day after that, she had 1/4 hour more than the day before.
1- How many hours of science homework did Kalani have on Thursday?
2-How many hours of science homework did she have for the whole school week?
1. The number of hours of science homework that Kalani have on Thursday is 1 1/2 hours.
2. The hours of science homework that she have for the whole school week is 4 1/2 hours.
How to calculate the value?From the information, Kalani started off with 3/4 hour on Monday and every day after that, she had 1/4 hour more than the day before.
1. This will be illustrated as:
Monday = 3/4 hour
Tuesday = 3/4 + 1/4 = 1 hour
Wednesday = 1 hour + 1/4 hour = 1 1/4 hour
Thursday = 1 1/4 + 1/4 = 1 1/2 hours.
2 The total hours will be the addition of all the values for the days of the week.
= 3/4 + 1 + 1 1/4 + 1 1/2
= 4 1/2 hours.
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Nadine wants to cover a wall of her dining room with glass tiles. The wall is 8 feet by 8 feet, and the tiles are 16 inches by
16 inches. How many tiles will she need?
Nadine will need 36 tiles.
This question form linear equation.
What is linear equation ?
An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
We know, 1 feet = 12 inches
The wall is 8 feet by 8 feet
so convert it into inches we get, 96 inches by 96 inches.
It's given the tiles are 16 inches by 16 inches.
so, let x = tile she needs
x(16 * 16) = 96 * 96
now, find x
x = (96 * 96) / (16 *16)
x = 36
so, she needs 36 tiles
Therefore, Nadine will need 36 tiles.
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There are 32 students in Ms. Bryant's class. 1/4 of those students use social media. How many students are allowed to use social media?
The most appropriate choice for fraction will be given by -
8 children are allowed to use social media.
What is fraction?
Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.
Here,
Total number of children in class of Ms Bryant = 32
Fraction of students who use social media = [tex]\frac{1}{4}[/tex]
Number of children who use social media = [tex]\frac{1}{4} \times 32[/tex]
= 8
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If MJ is 25 ft. long and M'J' is 5 feet long, what was the scale factor, k?
The scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5
If MJ is considered as the original figure, it is 25 ft. long.
The image of MJ, M'J' is 5 feet long
Scale factor is generally understood as the number of times the dimensions of the image is enlarged or diminished
Scale factor = Dimension of the new image ÷ Dimension of the original shape
Scale factor = M'J' length/ MJ length
k = 5/25
k = 1/5
The value of scale factor = 1/5, which means the new image is diminished.
Therefore the scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5.
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Find the missing exponent show work if u can
Answer: pretty sure its 5 to the power of 7
Answer:
7
Step-by-step explanation:
Exponents:[tex]\sf \boxed{\dfrac{a^m}{a^n}=a^{m-n}}[/tex]
In exponent division, if bases are same, subtract the exponents.
Let ? be 'x'.
[tex]\sf \dfrac{^{11}}{^x}=^4\\\\5^{11-x}=5^4[/tex]
As bases are same, compare the exponents.
11 - x = 4
-x = 4 -11
-x = -7
x = -7 ÷ (-1)
x = 7
A line with a slope of 8 passes through the point (1, 8). What is its equation in
slope-intercept form?
The equation in slope-intercept form for the line with slope of 8 and passing through (1,8) is y = 8x
What is slope intercept form ?One of the most widely used forms for expressing a line's equation is the slope intercept form of a straight line. If you know the slope of the straight line and the y-intercept, you can use the slope intercept formula to determine the equation of the line ( the y-coordinate of the point where the line intersects the y-axis). Every point along a line must satisfy its equation in order for it to exist.
y=mx + b is the equation in slope intercept form
x=1, y=8
y=8x+ b
8 = 8 + b
b= 0
The equation in slope-intercept form for the line with slope of 8 and passing through (1,8) is y = 8x
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A tulip is 2 inches tall after 1 week, 5 inches after 2 weeks, and 8 inches after 3 weeks. Which functions shown below can be used to determine the height, f(n), of the tulip in n weeks. 1. f(n) = 3n-1 2. f(n) = 3+2(n-1) 3. f(n) = f(n-1) + 3 where f(1) = 2
The answer is option(1) i.e, f(n) = 3n-1, This question is of Arithmetic Sequence
What is Arithmetic Sequence?
Arithmetic Sequence the difference between one term and the next is a constant. Formula is,
aₙ = a + (n-1)d
aₙ = the nᵗʰ term in the sequence
a = the first term in the sequence
d = the common difference between terms
According to question the sequence is,
2 inches, 5 inches, 8 inches .....
where, a = 2
d = 5 - 2 = 3
Now, put these value in formula i.e, aₙ = a + (n-1)d
aₙ = 2 + (n - 1) * 3
= 2 + 3n - 3
= 3n - 1
Therefore, the answer is option(1) i.e, f(n) = 3n-1.
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My brain stopped working so i need help
Answer:
-1.94
Step-by-step explanation:
Equation: [tex]\frac{c}{-1} + 0.56 = 2.5[/tex]
-
Solving the equation:
[tex]c + 0.56 = 2.5 * 1\\c + 0.56 = 2.5\\c = 2.5 - 0.56\\c = -1.94[/tex]
Got an rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 76 cents for each mile driven. Goes. Had to pay $216.27 when he returned the truck. For how many miles did he drive the truck?
Solution
[tex]\begin{gathered} 20.96+0.76m=216.27 \\ \\ \Rightarrow0.76m=216.27-20.96 \\ \\ \Rightarrow m=\frac{195.31}{0.76}=257\text{ miles} \end{gathered}[/tex]5y+6x=40
3y-8x=-46
x=
y=
Answer: (x,y) = (175/29, 22/29)
Step-by-step explanation:
solve the equation
y = 8 - 6/5x
3y - 8x = -46
substitute the value of y
3(8 - 6/5x) - 8x = -46
solve the equation
x = 175 / 29
substitute the value of x
y = 8 - 6/5(175/29)
solve the equation
y = 22/29
answer: (x,y) = (175/29, 22/29)
Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same as the payment period.
$60000 to be accumulated in 11 years; annual payments of 4173$.
The interest rate needed is approximately ___%
The interest rate is approximately 5.23%.
Interest is the amount paid over and above the principal amount to a lender or depositor by a borrower or financial institution at a predetermined rate in the domains of finance and economics (the amount borrowed).
It differs from any fees the borrower may be required to pay to the lender or another party. It also contrasts from dividends, which are paid out to shareholders (owners) by a company from its profit or stockpile, but not at a predefined rate but rather on a pro rata basis as a portion of the reward received by risk-taking businesspeople when the revenue obtained exceeds the overall expenses.We know that the amount from an loan is calculated by the formula
[tex]A=P[\frac{(1+i)^n-1}{i}][/tex]
Now we will substitute that values to calculate the value of i.
putting the values we get that the value of i is 0.05229...
Therefore the rate of interest is approximately 5.23%.
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Find the slope of the line containing the pair of points.
(8,-2) and (1,7)
Answer:
-9/7
Step-by-step explanation:
∆ y = 7-(-2) = 9
∆ x = 1-8 = -7
m = ∆y/∆x = -9/7
Ta'Niyah and Aaron are racing around a track. Ta'Niyah started the race with a 50 feet head start. Ta'Niyah runs at a pace of 48 feet per second. Aaron runs at a
pace of 32 feet per second. Write an inequality to represent when Ta'Niyah's distance is greater than Aaron.
Answer:
123
Step-by-step explanation:
did it in my head
What is 44 laps in 4 days = ? Laps in 3 days
The graph of y=f(x) is shown on the grid. The graph G is a translation of the graph y=f(x)
The translated function is:
G(x) = f(x) - 1
b) The maximum of y = 2*f(x) is the point (0, 8).
How to write the equation of the translated function?
We know that G(x) is a translation of f(x), and the graph of G(x) is the pink one.
We can see that it is 1 unit below f(x), then we have a translation of one unit downwards, so we can write:
G(x) = f(x) - 1
This is the rule for G(x).
b) If the maximum of f(x) is (0, 4), then:
f(0) = 4
The maximum of 2*f(x) is also at x = 0, we will get:
2*f(0) = 2*4 = 8
So the maximum here is (0, 8).
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The graph shows g(x), which is a translation of f(x)=x^2. Write the function for g(x)
The function after the transformation of f(x) is g(x) = (x - 2)^2
How to determine the transformation of the graph?The equation of the graph is given as
f(x) = x^2
The above equation a parent equation of a quadratic equation
Using the graph as a guide, we can see that
The function f(x) is translated to the right by 2 units to get g(x)
This means that
g(x) = f(x - 2)
So, we have
g(x) = (x - 2)^2
Hence, the equation of g(x) is g(x) = (x - 2)^2
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Given f(x) = 3x³ + kx- 10, and x - 2 is a factor of f(x), then what is the value of k?
Using factors, K has a value of -7.
Describe Factor.A divisor of an integer n, also known as a factor of n, is an integer m that may be multiplied by another integer to create n. In this case, it is also possible to assert that n is a multiple of m.
Given,
f(x) = 3x³ + kx- 10
Given factor of the equation is (x - 2)
Let us assume:
x - 2 = 0
x = 2
Since, x-2 is a factor of f(x)
∴ By factor theorem
f(2) = 0
3(2)³ + k(2) - 10 = 0
3(8) + 2k - 10 = 0
24 + 2k - 10 = 0
14 + 2k = 0
2k = -14
k = -14/2
k = -7
Hence, The value of k is -7
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Least to greatest PLEASE HELP ASAP!!!
Answer: d a c b
Step-by-step explanation:
Someone please help????
Answer:
11.68 m^2
Step-by-step explanation:
area of triangle = 1/2(b)(h)
b = 7.3, h = 3.2
1/2(7.3)(3.2) = 11.68
Answer:
11.68m
firstly remember area of triangle is half multiplied by base multiplied by height
NEED HELP! 76% of 250 and how do I show my work?
Answer:
Step-by-step explanation:
76/100 of 250
cancel out the zeroes
multiply and divide
76*250/100
=190
Answer:
190
Step-by-step explanation:
76%=76/100
so 76% of 250 can be written as :
76/100 * 250/1 =19000/100
you can simplify that and you get the answer 190
