Answer:
c. 2/7 × 7/2 = 1
Step-by-step explanation:
The product of a number and its reciprocal equals 1.
For example, 2 and 1/2 are reciprocals. 2 × 1/2 = 1
Also, 3/4 and 4/3 are reciprocals. 3/4 × 4/3 = 1
Of the choices, we see one whose product of reciprocals equals 1:
c. 2/7 × 7/2 = 1
A freight train travels 1445 miles in 25 hours. What is the train’s average rate of speed?
Answer:
the train's average rate of speed would be 57.8 mph
Step-by-step explanation:
Divide 1445 with 25 and then you get your answer
brainilest pls
anyway hope this helped have an awesome day bye byeee
Simplify (9-2a)-(4+3a)
Answer:
subtract the numbers\(9 - 4 =5 = -5a + 5\)
Step-by-step explanation:
( a ) = a
( 9 - 2a ) = 9 - 2a
= 9 - 2a - 4 -3a
- (a + b ) = -a -b
-( 4 + 3a ) = -4 - 3a
= - 2a - 3a + 9 - 4
- 2a - 3a = - 5a = -5a + 9 - 4
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Find the area of hexagon DEFGHI.
Step-by-step explanation:
Break it up into two trapezoids as shown
area = trap1 + trap2
= 2 * (7+3) / 2 + 3 * ( 7 + 3) / 2 = 10 + 15 = 25 units^2
Determine if each pair of lines is parallel, perpendicular, or neither.
Answer:
a)perpendicular
b) parallel
c) none
d) parallel
e) none
Step-by-step explanation:
Solve the following system of linear equations. x + 2y = 3 - 2x - 3y + 2z = 2y - 2x + z = 4
By using the substitution method, we conclude that the solution to the system is x = 7, y = -2, z = 2.
How to solve the system of equations?Here we have the system:
x + 2y = 3
-2x - 3y + 2z = 2y
-2x + z = 4
To solve this, first, we need to isolate one of the variables in one of the equations. We can isolate x on the first one:
x = 3 - 2y
Now we can replace that in the other two equations:
-2*( 3 - 2y) - 3y + 2z = 2y
-2*( 3 - 2y) + z = 4
Now we simplify these two:
-6 - y + 2z = 0
-6 - 4y + z = 4
Now we can isolate z on the second equation:
z = 4 + 4y + 6 = 4y + 10
And replace it on the other equation:
-6 - y + 2*(10+ 4y ) = 0
-6 - y + 20 + 8y = 0
7y + 14 = 0
y = -14/7 = -2
Now that we know the value of y, we can find the values of x and z.
z = 4y + 10 = 4*(-2) + 10 = 2
x = x = 3 - 2y = 3 - 2*(-2) = 7
So the solution is:
x = 7, y = -2, z = 2.
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3- Find the Domain (ONLY) for each of the following functions (60 points - 10 each) a) f(x) = x²-3x − 4 b) f(x) 2 x-3 c) M(x) √x-5 2 10 d) g(x) = e) h(x) a) f(x) = 4, x +9 x-4 drhring 16 miles since a full tank 2x-5 x-2x-15
The domain of each function is determined by the values of x for which the function is defined. The domain of function a) f(x) = x²-3x-4 is all real numbers. The domain of function b) f(x) = 2x-3 is all real numbers. The domain of function c) M(x) = √(x-5) is x ≥ 5. The domain of function d) g(x) = (x+9)/(x-4) is x ≠ 4. The domain of function e) h(x) = 16/(2x-5) is x ≠ 2.
a) The function f(x) = x²-3x-4 is a polynomials function, and polynomial functions are defined for all real numbers. Therefore, the domain of f(x) is all real numbers.
b) The function f(x) = 2x-3 is a linear function, and linear functions are defined for all real numbers. Hence, the domain of f(x) is all real numbers.
c) The function M(x) = √(x-5) represents a square-root function. Square root functions are defined only for non-negative values inside the square root. In this case, x-5 must be greater than or equal to zero, which implies x ≥ 5. Therefore, the domain of M(x) is x ≥ 5.
d) The function g(x) = (x+9)/(x-4) is a rational function. Rational functions are defined for all real numbers except the values that make the denominator equal to zero. In this case, the denominator is x-4, so the function is undefined when x = 4. Hence, the domain of g(x) is x ≠ 4.
e) The function h(x) = 16/(2x-5) is also a rational function. Similar to the previous explanation, rational functions are defined for all real numbers except the values that make the denominator equal to zero. In this case, the denominator is 2x-5, so the function is undefined when x = 5/2. Therefore, the domain of h(x) is x ≠ 5/2 or x ≠ 2.
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which expression is equivalent to
Answer:
1/36
Step-by-step explanation:
6^-1 is the same as 1/6,
1/6^2 is 1/36
Answer:
1/36
Step-by-step explanation:
have a good semester
Is this right, if not then what is the equivalent expression of it, please make the answer easy and simple
Answer:
\(\dfrac{6x+2}5}\)
Step-by-step explanation:
The given expression is :
\(\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}\)
We need to write the equivalent expression for the above expression.
Taking like terms together,
\(=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}\)
So, the equivalent expression is \(\dfrac{6x+2}5}\).
The formula for the distance traveled over time ttt and at an average speed vvv is v\cdot tv⋅tv, dot, t. Amit ran for 404040 minutes at a speed of about 555 kilometers per hour. What calculation will give us the estimated distance Amit ran in kilometers?
Answer:
5 x 40/60
Step-by-step explanation:
The distance Amit ran will be 3.34 kilometers in 40 minutes.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Distance is defined as the length between the two points.
It is given that the distance traveled over time t and at an average speed is s. Amit ran for 40 minutes at a speed of about 5 kilometers per hour.
The distance will be calculated by using the speed formula:-
Speed = Distance / time
Convert the formula to calculate distance.
Distance = Speed x Time
Distance = 5 x ( 40/60 )
40/ 60 is the time in hours.
The distance will be calculated as:-
Distance = 10 / 3
Distance = 3.34 kilometers
Therefore, the distance Amit ran will be 3.34 kilometers in 40 minutes.
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(3^2)12/ 3^6
Look at the picture I don’t understand how to do this problem.
3^ 2 x 12 = 3^24
3^24/3^6 = 3^ 24-6
= 3^ 18
So it's 3 with power 18
Answer:
this is the correct answer.
hope it will help you.
1.
(03.01 LC)
What is the length of the unknown side of the right triangle? (1 point)
A right triangle with hypotenuse x and legs 7 and 24
7
24
25
31
Answer:25
explanation:easy use pythagorean theorem to find c .The square root of a and be =c
Seven less than a number, divided by five, is -2
Answer:
( -3 - 7 ) ÷ 5 = -2Step-by-step explanation:
( x - 7 ) ÷ 5 = -2
( -3 - 7 ) ÷ 5 = -2
( -10 ) ÷ 5 = -2
-10 ÷ 5 = -2
The answer is -3The answer is negative 2 because if you minus negative 3 by 7 first, it will give you negative 10. When you divide negative 10 by 5, you get negative 2, which is the answer to the equation.
Hope this helps! <3
The number is -3
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be x
Seven less than a number
So , x - 7
Divided by five, is -2
So ,
( x - 7 ) / 5 = - 2
Multiply by 5 on both sides , we get
x - 7 = - 10
Adding 7 on both sides , we get
x = - 3
Hence, the number is - 3
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FILL IN THE BLANK a(n) ____ consists of a rectangle divided into three sections.
Answer:
Step-by-step explanation:4
Which number is in the 3rd position after ordering in
descending order. V220,-10, V100, 11.5
Answer:
√100
Step-by-step explanation:
Given the following numbers: √220, -10, √100, 11.5,
Let's arrange the numbers from the largest to the smallest (in descending order).
Note: √220 ≈ 14.8
√100 = 10
From the largest to the smallest number, we have: √220, 11.5, √100, -10
Therefore, the number in the third position is √100
Solve the two following simultaneous equations and find the possible values of x and y. \(x^2 +y^2-2xy = 64\)
\(x^2 - y^2 = 40\)
Step-by-step explanation:
If u assume x=y=1, then x+y=2 and x^2+y^2=2
And now, xy=1.
Therefore x=y=1.
Let me know, if anyone come with other answers too.
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Step-by-step explanation:
(*) x^2 + y^2 - 2xy = 64
<=> (x - y)^2 = 64
<=> x - y = 8 or x - y = -8
(**) x^2 - y^2 = 40
<=> (x - y)(x + y) = 40
Case 1: x - y = 8
(**) <=> 8(x + y) = 40
<=> x + y = 5
we have: x+y = 5 and x-y = 8
--> x = (5+8)/2 = 6.5
--> y = x - 8 = 6.5 - 8 = -1.5
so (x,y) = (6.5 , -1.5)
Case 2: x - y = -8
(**) <=> -8(x + y) = 40
<=> x + y = -5
we have: x + y = -5 and x - y = -8
--> x = [ (-5) + (-8) ]/2 = -6.5
--> y = -5 - x = -5 + 6.5 = 1.5
so (x,y) = (-6.5 , 1.5)
Answer: (x,y) = (6.5 , -1.5) and (-6.5 , 1.5)
Andrew gets on a scale and reads his weight as 66 lb. If 1 kg ≈ 2. 2 lb, what is his mass in kilograms? His mass is _____ kilograms
Andrew gets on a scale and reads his weight as 66 lb. If 1 kg ≈ 2. 2 lb, what is his mass in kilograms? His mass is 29.93 kilograms.
A pound( symbol lb) is a unit of mass used in the customary systems of dimension. The transnational avoirdupois pound( the common pound used moment) is defined as exactly 0.45359237 kilograms. The avoirdupois pound is original to 16 avoirdupois ounces.
A kilogram( symbol kg) is the base unit of mass in the International System of Units( SI). It's presently defined grounded on the fixed numerical value of the Planck constant, h, which is equal to 6.62607015 × 10- 34 in the units of J · s, or kg · m2 · s- 1. The cadence and the second are defined in terms of c, the speed of light.
The unitary method is used to find the value of a single unit from a given multiple, 1 pound = 0.45359237 kilograms ≈ 0.454 kilograms
66 pounds = 66 X 0.454 kilograms ≈ 29.93 pounds.
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Find the H.C.F,a square -bsquare and a+b whole square
Answer:
hope this helps you a lot
have a good day
Jorden has $275 in his bank account. The bank will pay Jorden 4% interest per year on the value of his account. If Jorden doesn’t add to his account or withdraw any money, how much will he have in his account after one year?
Answer: $11.00
Step-by-step explanation: Please see attached PDF.
Find the odd one out, and explain why
26..325..226..49..50
a) 325
b) 226
c) 50
d) 49
Answer:
B.226
Step-by-step explanation:
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In a basketball game, Alana scores twice as many points as Taylor. Taylor scores four points fewer than Nancy, and Nancy scores three
times as many points as Molly. If Molly scores 6 points, how many points did Alana score?
Determine your answer by first determining how many points each other player scored:
1. Nancy scores
2. Taylor sco res
3. Alana scores
points.
points.
points.
]Mariam has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $275.67.
She buys 3 bicycle reflectors for $16.32 each and a pair of bike gloves for $24.39.
She plans to spend some or all of the money she has left to buy new biking outfits for $27.40 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Mariam can purchase while staying within her budget.
The number of outfits Mariam can purchase is 7.
The inequality to represent the situation is 560 ≤ 349.02 + 27.40x.
How to represent a situation with an inequality?Mariam has $560 to spend at a bicycle store for some new gear and biking outfits. The price list are as follows:
She buys a new bicycle for $275.67.She buys 3 bicycle reflectors for $16.32 eachA pair of bike gloves for $24.39.She plans to spend some or all of the money she has left to buy new biking outfits for $27.40 each.
The inequality that can be used to determine x, the number of outfits Mariam can purchase within her budget can be calculated as follows:
560 ≤ 275.67 + 3(16.32) + 24.39 + 27.40x
where
x = number of biking outfits
560 ≤ 275.67 + 3(16.32) + 24.39 + 27.40x
560 ≤ 275.67 + 48.96 + 24.39 + 27.40x
560 ≤ 349.02 + 27.40x
560 - 349.02 ≤ 27.40x
divide both sides by 27.40
210.98 ≤ 27.40x
divide both sides by 27.40
210.98 / 27.40 ≤ x
7.7 ≤ x
Therefore, the number of outfit he can purchase is 7.
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Forty percent of the pupil in m. Alcantara' grade 6 claa are 12 year old. Another 0. 25 are 13 year old and the ret of the cla i 11 year old. Write 11 a a fraction,decimal,and percent
Answer:
7/20
0.35
35%
Step-by-step explanation:
12 year olds: 40%
12 year olds: 25%
11 year olds: 100% - 40% - 25% = 35%
35% = 35/100 = 7/20
35% = 0.35
35% = 35%
emergency room tests the frequency distribution shows the number of medical tests conducted on 32 randomly selected emergency room patients. number of tests performed number of patients 0 14 1 8 2 4 3 4 4 or more 2 send data to excel
The frequency distribution given shows the number of medical tests conducted on 32 randomly selected emergency room patients. It provides information on the number of tests performed and the corresponding number of patients for each test category.
To send this data to Excel, you can follow these steps:
1. Open Excel on your computer.
2. Create a new spreadsheet by selecting "Blank Workbook" or "New Workbook."
3. In the first column, enter the different categories of tests performed: 0, 1, 2, 3, and 4 or more.
4. In the second column, enter the corresponding number of patients for each test category: 14, 8, 4, 4, and 2.
5. Label the first column as "Number of Tests" and the second column as "Number of Patients."
6. Highlight the data in both columns.
7. Click on the "Insert" tab in the Excel menu.
8. From the "Charts" section, select the type of chart you want to create, such as a bar chart or column chart. This will visually represent the frequency distribution.
9. Customize the chart as desired by adding titles, adjusting colors, and modifying other formatting options.
10. Once you are satisfied with the chart, save the Excel file by clicking on "File" and then selecting "Save As." Choose a location on your computer to save the file, provide a name, and click "Save."
By following these steps, you will have successfully sent the data on the frequency distribution of medical tests to Excel and created a visual representation of the information using a chart.
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For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
Help!!!!
Describe the transformation from the graph of f(x) = x to the graph of g(x) = 3/4x
A function f(x) is vertically compressed by a factor of 3/4 to form a function g(x)
In this question, we have been given two functions f(x) = x and g(x) = 3/4x
We need to describe the transformation from the graph of f(x) = x to the graph of g(x) = 3/4x
Here, the parent function is f(x) = x
and the transformed function is g(x) = 3/4x
That is, the parent function was multiplied by 3/4, which means that it was vertically compressed by a factor of 3/4, as when a function f(x) is multiplied by a value of a such that |a| < 1, it is vertically compressed by a factor of a.
Therefore, function f(x) is vertically compressed by a factor of 3/4 to form a function g(x)
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we have a study involving 3 different groups that each contain 9 participants (27 total). what two degrees of freedom would we report when we report the results of our study?
Using degree of freedom,
Two degrees of freedom would we report when we report the results of our study is (2,24).
Degree of freedom:
The statistical degrees of freedom (DF) indicate the number of independent values that can be changed in the analysis without violating the constraints.
degrees of freedom is the number of independent values that can be estimated in a statistical analysis. It can also be thought of as the number of values that are free to vary when estimating the parameters
DF = N – P
Where:
N = sample size
P = the number of relationships
We given that,
Number of groups , k = 3
Number of total participants, n = 27
Degrees of freedom for F-test is F(k-1,n-k)
= F(3-1 , 27-3)
= F(2,24)
Hence, (2,24,) are required two degrees of freedom.
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please solve and answer for me
Answer:
-5
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
\(2x+5y=8\) (Given)\(\implies 2x = -5y +8\)\(\implies x = -\frac{5}{2}y +\frac{8}{2}\)\(\implies x = -\boxed{\frac{5}{2}}y +\boxed{4}\)Alonzo's game started at 9:20 AM.
The game lasted 2 hours and 15 minutes.
What time did the game end?
Answer:
11:35 AM
Step-by-step explanation:
Lets start with the hours:
9+2=11
Now the minutes:
15+20=35
Now put them together:
11:35 AM
Answer:
11:35
Step-by-step explanation:
9 plus 2 equals 11
20+15 equals 35
During the winter months, the temperatures at the Starneses’ Colorado cabin can stay well below freezing (32°F or 0°C) for weeks at a time. To prevent the pipes from freezing, Mrs. Starnes sets the thermostat at 50°F. She also buys a digital thermometer that records the indoor temperature each night at midnight. Unfortunately, the thermometer is programmed to measure the temperature in degrees Celsius. Based on several years’ worth of data, the temperature T in the cabin at midnight on a randomly selected night follows a Normal distribution with mean 8.5°C and standard deviation 2.25°C.
Let Y = the temperature in the cabin at midnight on a randomly selected night in degrees Fahrenheit (recall that F = (9/5)C + 32). What is the shape, center, and spread of Y.
the shape of Y is normal, the center of Y is 47.9 and the spread of Y is 4.05.
How the answer was obtainedY = the temperature in the cabin at midnight on a randomly selected night in degrees Fahrenheit is a transformed version of the temperature T in degrees Celsius. To convert from Celsius to Fahrenheit;
we use the conversion formula F = (9/5)C + 32.
The shape of Y will be the same as the shape of T, which is a normal distribution.
The center of Y can be found by taking the mean of T and converting it to Fahrenheit using the formula above.
Mean of Y = (9/5)*8.5 + 32 = 47.9
The spread of Y can be found by converting the standard deviation of T to Fahrenheit using the formula above.
Standard deviation of Y = (9/5)*2.25 = 4.05
So, the shape of Y is normal, the center of Y is 47.9 and the spread of Y is 4.05.
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What is the difference between a histogram and a cumulative histogram?
Answer: The answer is provided below
Step-by-step explanation:
A histogram is a diagram which consist of rectangles whereby the area is proportional to frequency of a variable and the width is equal to class interval. A histogram is a commonly used graph that is used to show frequency distributions.
The cumulative histogram is a histogram whereby the vertical axis doesn't gives only the counts for a single bin, but gives the counts for that bin and all the bins for the maller values of a response variable.
Cumulative histograms are similar to normal histograms, but the main difference is that they graph cumulative frequencies unlike histograms that graph just frequencies.