Soledad drove average speed of 56 miles per hour.
What is average speed?
The entire distance traveled by the object in a given time frame is defined as its average speed. Scalar quantity that represents the average speed. It has no direction and is indicated by the magnitude. Calculating average speed involves dividing the total distance traveled by the time interval. An individual traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location.
Here the given , Distance = 504 miles and Time = 9 hours.
Using Average speed formula,
=> Average speed = Total distance/Time
=> Average speed = 504/9 = 56 miles per hour.
Therefore Soledad drove average speed of 56 miles per hour.
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there are (4 to the 9th power) to the 5th power times 4 to the 0 power books at the library. what is the total number of books?
Answer:
1310720
Step-by-step explanation:
you multiply (4^9) and get 262144 then multiply (262144)^5 and get 1310720*4^0 and multiply 4*0 and get 0 so 1310720 if that makes sense
A barn with the dimensions shown is to be painted. One gallon of paint covers 400 square feet. About how many gallons of paint are needed for one coat on the entire exterior of the barn, including the roof?
Approximately 4.5 gallons of paint would be needed for one coat on the entire exterior of the barn, including the roof.
To determine the number of gallons of paint needed for one coat on the entire exterior of the barn, including the roof, we need to calculate the total surface area that needs to be painted.
Let's consider the dimensions of the barn:
Length: 30 feet
Width: 20 feet
Height: 10 feet
First, let's calculate the surface area of the four walls. Since a rectangular barn has opposite walls with equal dimensions, we can calculate the area of one wall and multiply it by 4:
Wall area = Length * Height
= 30 feet * 10 feet
= 300 square feet
Now, multiply the wall area by 4 to account for all four walls:
Total wall area = Wall area * 4
= 300 square feet * 4
= 1200 square feet
Next, let's calculate the surface area of the roof, which is a rectangle:
Roof area = Length * Width
= 30 feet * 20 feet
= 600 square feet
Finally, we calculate the total surface area that needs to be painted by adding the wall area and the roof area:
Total surface area = Total wall area + Roof area
= 1200 square feet + 600 square feet
= 1800 square feet
Given that one gallon of paint covers 400 square feet, we can divide the total surface area by 400 to determine the approximate number of gallons needed for one coat:
Number of gallons = Total surface area / Coverage per gallon
= 1800 square feet / 400 square feet
= 4.5 gallons
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Directions: Write the expression for each sentence below.
1. the sum of 6 and t = 6+ t
2. the product of s and 12
3. the difference of 6 from 10
4. the quotient of 6 divided by t
5. 17 less than 20
6. increase s by 2s
7. decrease 10 by r
8. add 7 times x and 4 times s
9. the quotient of 17 minus 12 and 2
10. the product of 2 and x less 10
11. the product of 7 and 2 divided by 2
12. decrease the product of 8 and 6 by a number
The given sentences expressed in algebraic expressions are:
1. "sum of 6 and t" is represented as: 6 + t
2. "product of s and 12" is represented as: 12s
3. "difference of 6 from 10" is represented as: 10 - 6 = 4
4. "quotient of 6 divided by t" is represented as: 6/t
5. "17 less than 20" is represented as: 20 - 17 = 3
6. 2s + s
7. 10 - r
8. 4s + 7x
9. (17 - 12)/2 = 5/2
10. (2)(x - 10)
11. (7)(2/2) = 7
12. (8)(6) - x = 48 - x
Representing Sentences with Algebraic ExpressionsPhrases are represented using algebraic expressions using numbers and mathematical operation sign.Quotient means division.Product means multiplication.Sum means addition, and so on.Thus, the following sentences given can be expressed as follows:
1. "sum of 6 and t" is represented as: 6 + t
2. "product of s and 12" is represented as: 12s
3. "difference of 6 from 10" is represented as: 10 - 6 = 4
4. "quotient of 6 divided by t" is represented as: 6/t
5. "17 less than 20" is represented as: 20 - 17 = 3
6. 2s + s
7. 10 - r
8. 4s + 7x
9. (17 - 12)/2 = 5/2
10. (2)(x - 10)
11. (7)(2/2) = 7
12. (8)(6) - x = 48 - x
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write 150ml as a percentage of 2litres
Answer:
7.5%
Step-by-step explanation:
1 L = 1000 ML2 L = 2000 MLWhat is a percentage?A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
In order to express 150 mL as a percentage of 2 liters (2000 mL), you need to divide 150 by 2000 and then multiply the result by 100 to get the percentage.
(150 ÷ 2000) × 100 = 7.5%.Therefore, 150 mL is 7.5% of 2 liters.
Evaluate the function f(x) = 5x2 - 7x + 3 a. f(-4) = ___________________ b. f(4) =_____________________ c. f(0)= ______________________ d. f(12)= _____________________ e. f(-12)= ___________________ f. f(-5) =____________________ g. f(-3) = ____________________ h. f(6) = _____________________ i. f(-6) = ___________________ j. f(-3) = __________________
Answer:
say what
Step-by-step explanation:you + your = answer ( ask your teacher )
Find a parametric equation of the line which is the intersection of the planes - x + 3y + z = 7 and x + y = 1.
The parametric equation of the line which is the intersection of the planes - x+3y+z=7 and x+y=1 is- x= 1- t, y= t, z= 8- 4t.
Given: -x+3y+z=7 - (i)
x+y=1 - (ii)
Rearrange the equation (i) and (ii),
we get, -x+3y+z-7=0 -(iii)
x+y-1=0 -(iv)
To find the parametric equation of the line, solve the equation (iii) and (iv) simultaneously,
On solving the equation simultaneously we get,
4y+z-8=0
arrange this equation, z=8-4y -(v)
Let y=t -(vi)
putting the value of y in equation (v)
so we get, z=8-4t -(vii)
putting the value of y and z in equations (iii) or (iv)
-x+3t+8-4t-7=0
x=1 -t
Therefore the parametric equation of the line which is the intersection of the planes -x+3y+z=7 and x+y=1 are x = 1 - t, y = t, z = 8 - 4t.
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Pls help me full steps I needed Find X
Answer:
x=60°
Step-by-step explanation:
Let's say the point where angle x is, be K
Because ABCD and PQRS are paralelograms,
∡PSR = ∡PQR =130°
and
∡DAB=∡DCB=70°
and by angles between parallels
∡SPQ + ∡PQR = 180°
∡SPQ + 130° = 180°
∡SPQ = 50°
by angles opposite by vertex
∡PKC = ∡BKQ = x
So in triangle PKC the sum of all angles must add up to 180°
so
∡SPQ + ∡PKC + ∡DCB = 180
50 + x + 70 = 180
x = 60
How much did it cost trudy to get the loan for $500
Answer:
850
Step-by-step explanation:
500 times 0.7 plus 500
Find the volume of a pyramid with a square base, where the perimeter of the base is
18.5 ft and the height of the pyramid is 7.6 ft. Round your answer to the nearest
tenth of a cubic foot.
Answer:
132 cm. 3. 3. a rectangular pyramid with a height of 5.2 meters and a base 8 ... 7. an oblique cone with a height of 10.5 millimeters and a radius of 1.6 ... base is about 15,400 square feet, find the volume of air that the ... ANSWER: 32.2 ft. 3. Find the volume of each solid. Round to the nearest tenth. eSolutions ...
Step-by-step explanation:
What should be added to 8 to make the sum 0? (1 point)
−9
−8
0
8
Answer:
-8
Step-by-step explanation:
i fr am taking the test got it right :D
Data table Activity Optimistic START 0 ABCDEFGHIK А J L FINISH 605 2607NTO TO 2-253 N N N M - NO 15 3 1 1 1 Time Estimates (days) Most Likely 0 0 10 1 20 10 2 2 2 3 1 Print Pessimisitic 0 OANAN www�
Answer:
This is gebber gabber but yes
Step-by-step explanation:
A forecasting method has produced the following over the past five months. What is the mean absolute deviation? 3. 6 3.8 3.2. \( 3.4 \) \( 3.0 \)
The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.
The mean absolute deviation (MAD) measures the average distance between each data point and the mean of the dataset. To find the MAD, you need to follow these steps:
1. Calculate the mean of the dataset by adding up all the numbers and dividing the sum by the total number of data points. In this case, the dataset consists of the following numbers: 3, 6, 3.8, 3.2, and 3.4. Adding them up gives us a sum of 19.4. Dividing this sum by 5 (since there are 5 data points) gives us a mean of 3.88.
2. Find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value. For example, for the first data point, 3, the absolute deviation would be |3 - 3.88| = 0.88. Repeat this step for all the data points.
3. Calculate the mean of the absolute deviations by adding up all the absolute deviations and dividing the sum by the total number of data points. In this case, the absolute deviations are: 0.88, 2.12, 0.72, 0.68, and 0.58. Adding them up gives us a sum of 4.98. Dividing this sum by 5 gives us a mean of 0.996.
So, the mean absolute deviation for the given dataset is approximately 0.996.
The mean absolute deviation helps us understand how much each data point varies from the mean of the dataset. By calculating the absolute deviation for each data point and finding the average, we can determine the typical amount of variation in the dataset.
The mean absolute deviation for the given dataset of 3, 6, 3.8, 3.2, and 3.4 is approximately 0.996. This means that, on average, each data point in the dataset deviates from the mean by approximately 0.996.
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I need help with both please :)
Which equation does the graph represent (see picture)
A. y = -2x
B. y= -1/2x
C. y = 2x
D. y = 1/2 x
What do we call the statistic when we are measuring whether individuals have a certain characteristic that is either present or not? (For example, is a Pierce College student a nursing major or not?)
The statistic that is used to measure whether individuals have a certain characteristic that is either present or not is called a dichotomous variable.
A dichotomous variable is a type of categorical variable that only has two possible categories or values. In the example given, the dichotomous variable would be whether a Pierce College student is a nursing major or not, with the two possible categories being "nursing major" and "not a nursing major." This type of statistic is useful for determining the presence or absence of a certain characteristic in a population. A binary variable is a variable that can take one of two possible values, such as "yes" or "no," "true" or "false," or "present" or "absent."
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What is the value of x in the equation x-7=11
What is the equation of the line represented by the table below
Answer:
Step-by-step explanation:
let x =0 then it's 2 so 0.2(x+2) is a formula that works,
y = 0.2(X+2)
:) these are not easy, btw
How might a business encourage its employees to participate in a retirement investment plan?
O By charging fines to those who do not sign up
O By offering a large variety of plan options
O By charging higher transaction fees than brokers
O By offering plans with strong returns and low fees
The correct option regarding how a business might encourage its employees to participate in a retirement investment plan is given as follows:
By offering a large variety of plan options.
What are retirement investment plans?
Retirement investment plans are plans in a which a part of the employee's salary goes towards savings, which are retirement plans, as the monetary amount is saved, generating investment, and then when the employee retires this amount with interest is deposed from the bank account.
The most well know retirement plan is the 401k, and the company should offer various options to it's employees, as they may have different interests, such as how long it will take for them to retire, or the amount they want to save, depending on their costs of living.
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answer for brainliest
Answer:
4/5
Step-by-step explanation:
4/5 because 4/5 is the highest answer and closer to 1 than all the others
Answer:
\( \frac{4}{8} = 0.5\)
\( \frac{1}{5} = 0.2\)
\( \frac{2}{6} = 0. 333\)
\( \frac{4}{5} = 0.8\)
Thus, 4/5 is the nearest to 1
Hope this is correct and helpful
HAVE A GOOD DAY!
A fundraising event was held by a high school to support a local animal shelter. The following information was recorded: The first-year students raised $562.50 The second-year students raised $136.25 less than the first-year students. The third-year students raised $200.75 more than the second-year students. What was the total amount of money raised by all three groups?
Answer: $1615.75
Step-by-step explanation:
First Group
$562.50
Second Ground
$562.50 - $136.25 = $426.25
Third Group
$426.25 + $200.75 = $627
Add All Together
$627 + $426.25 + $562.50 = $1615.75
I just need to know if the answer is B or D
Firslty, we need to find the function, whcih we can do by substituting one into the other:
\(f(g(x))=2(g(x))^2-1=2(\sqrt[]{x-2})^2-1=2(x-2)-1=2x-4-1=2x-5\)Now, for the domain we have more complicated approach.
We first have to find the domain for both f(x) and g(x).
The domain of f(x) is all real number, because it is a quadratic polynomial.
The domain of g(x) is all the real numbers except the x values that makes the square root interior negative, so all real numbers so that:
\(\begin{gathered} x-2\ge0 \\ x\ge2 \end{gathered}\)Now, the domain of the composite function f(g(x)) is the set of all the values of x in the domain of g(x) such that the corresponding g(x) is in the domain of f(x).
Since the domain of f(x) is all real numbers and g(x) is a real number function, all the values of g(x) will be in the domain of f(x), so we just need to check the values of x that are in the domain of g(x).
The domain of g(x), as we saw, is:
\(D=\mleft\lbrace x\mright|x\ge2\}\)And any value of x will give a g(x) that will be in the domain of f(x) so, the domain of f(g(x)) is:
\(D=\mleft\lbrace x\mright|x\ge2\}\)So, the correct alternative is:
\(\begin{gathered} f(g(x))=2x-5 \\ D\colon\mleft\lbrace x\mright|x\ge2\} \end{gathered}\)se the Bonferroni method to perform multiple comparisons of the four levels of treatments at the 0.01 level
For each pairwise comparison, you would compare the p-value against an adjusted significance level of approximately 0.00167 to determine if the difference between the treatments is statistically significant after applying the Bonferroni correction.
The Bonferroni method is a statistical procedure used to adjust the significance level for multiple comparisons in order to control the familywise error rate. To perform multiple comparisons using the Bonferroni method at the 0.01 level, you would divide the desired overall significance level (0.01) by the number of pairwise comparisons being made.
If you have four levels of treatments and want to compare each pair of treatments, you would have a total of six pairwise comparisons: A vs. B, A vs. C, A vs. D, B vs. C, B vs. D, and C vs. D.
To apply the Bonferroni correction, divide the desired overall significance level of 0.01 by the number of comparisons (6):
Adjusted significance level = 0.01 / 6
The adjusted significance level for each individual comparison would then be:
Adjusted significance level = 0.01 / 6 ≈ 0.00167
So, for each pairwise comparison, you would compare the p-value against an adjusted significance level of approximately 0.00167 to determine if the difference between the treatments is statistically significant after applying the Bonferroni correction.
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What is the mean of the given data set. 39,82,74,96,64,52,74
Hey there!
Another word for the mean is the average. To find the mean in a set of numbers, you add up the numbers and then divide by the number of numbers!
39+82+74+96+64+52+74=481
Now, we see that we have seven numbers. So, we divide by seven!
481/7≈68.71 (rounded to nearest hundredth)
I hope that this helps!
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Step-by-step explanation:
a. 6 £/hr
b. 6.8 £/hr.....is this right?
Answer:
B) 1 hour = £10
Step-by-step explanation:
the higher rate starts from 20 hours and the pay is £120 if you go to 30 hours, the pay rate is £220. A raise of £100. This means the new pay rate is for every 1 hour worked, you get £10
The length of the sides of a square is given by the expression 4.8x + 2.4. Which expression represents the perimeter of the square? A. 4.8x + 2.4 + 4 B. 19.2x + 2.4 C. 8(2.4x + 1.2) D. 4.8x + 9.6
Answer:
Option C. 8( 2.4x + 1.2 )
Step-by-step explanation:
Length of the sides of a square is given by the expression ( 4.8x + 2.4 )
Then we have to find the expression that represents the perimeter of the given square.
Since perimeter of a square = 4 × ( side of the square )
= 4( 4.8x + 2.4 )
= 8( 2.4x + 1.2 )
Therefore, option C. 8(2.4x + 1.2) represents the perimeter of the square.
Answer:
Option C. 8( 2.4x + 1.2 )
Suppose the inflation rate is 7% per year. How much would a $24 pair of
sneakers cost in 8 years? Estimate your answer to 2 places after the decimal.
Tine your answer
In the figure below, m1=3x° and m2 = (x+18)°.
Find the angle measures.
L
2
m 21 =
m2 2 =
Answer: m 21=
I got it right on test!
Step-by-step explanation:
a lake is stuck with 1,550 young carp. the number of the original fish alive after t years is given by the function P (t)= 1550e^-0.4t, when will there be 440 of the original fish left from to the nearest tenth
so the time needed is 3.1 years
help please what does y equal
Answer:
y = 2x^2 +1
Step-by-step explanation:
This is a parabola so it is in the form
y = a( x-h) ^2 + k
where ( h,k) is the vertex which is at ( 0,1)
y = a (x - 0)^2 + 1
y = ax^2 +1
Pick another point on the graph to determine a
(1,3)
3 = a(1)^2 +1
Subtract 1 from each side
3-1 = a(1)
2 =a
y = 2x^2 +1
Answer:
y=x^2+1
Step-by-step explanation:
A paint color requires the ratio of green paint to yellow paint to be 4 : 9. A container of this paint has 36 pints of yellow paint. How many pints of paint are in the container all together? *
Answer:
16:36
Step-by-step explanation:
If the ratio is 4:9 and yellow paint is 36 that means you have multiple 9 by a number and that number would be 4 to get 36 and you just multiply 4 by 4 which is 16 and your new ratio will be 16:36
Answer:
16
Step-by-step explanation:
If the ratio is 4:9 and there is 36 pints of yellow then it would be 4:9=x:36. 36 divided by 9 is 4 so you would multiply 4 to 4 and get 16.