make x the subject of the formula in R = ax-p/q+bx
R = (ax - p)/(q + bx)
(ax - p) = R(q + bx)
ax - p = Rq + Rbx
ax - Rbx = Rq + p
x(a - Rb) = Rq + p
x = (Rq + p)/(a - Rb)
To show that NMQ ≈ QPN by SAS, what must be the value or x?
I need help with this please help me
Answer:
x = 3
Step-by-step explanation:
You want to know the value of x, given that NM = 5x-1 and QP = 3x+5 in congruent triangles NMQ and QPN.
CPCTCCorresponding parts of congruent triangles are congruent, so we have ...
NM = QP
5x -1 = 3x +5
2x = 6 . . . . . . . . . . add 1-3x
x = 3 . . . . . . . . . . divide by 2
If a copy machine can copy 34 sheets of paper in one minute. How many sheets can it copy in 2 hours?
Answer:
Step-by-step explanation:
34x60
60 minutes in a hour
34x60=204
204+204= 408
408 copies in 2 hours
Answer:
4080
Step-by-step explanation:
First you would multiply 34 by 120. After you multiply those numbers you should get 4080 as your answer.
Use the decimals 2.49, 9.19, and 6.7 to write two different addition facts and two different subtraction facts.
The solution to the equations is
Addition : 2.49 + 6.7 = 9.19 ; 6.7 + 2.49 = 9.19
Subtraction : 9.19 - 6.7 = 2.49 ; 9.19 - 2.49 = 6.7
What is an 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 equation be represented as A
Now , the value of A is
Let the three decimals be represented as set x = { 2.49 , 6.7 , 9.19 }
Now , the addition facts are given by equations ,
2.49 + 6.7 = 9.19 be equation (1)
6.7 + 2.49 = 9.19 be equation (2)
And , the subtraction facts are given by the equations ,
9.19 - 6.7 = 2.49 be equation (3)
9.19 - 2.49 = 6.7 be equation (4)
Hence , the equations are solved
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Tara is painting her room she brought paint that takes 3 gallons to cover an area of 75 square feet how many gallons of paint will tara need to paint 375 square feet of her room
Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach the top speed of 85 mph which roller coaster has a greater top speed
Roller coaster B has greater top speed than roller coaster A.
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given,
speed of roller coaster A = 110ft./s
speed of roller coaster B = 85mph
1 mile = 5280 feet
⇒ 85 mile = 5280 × 85 = 448800 feet
1 hour = 3600 seconds
speed of roller coaster B = 448800/3600 ft/s = 124.67 ft/s
comparing speed of both
Speed of roller coaster B > speed of roller coaster A
Hence, Top speed of roller coaster B is greater than roller coaster A.
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Help me please...... I dknt understand math I’m du.mb
Answer:
281/100
the mixed number would be 2 81/100
Step-by-step explanation:
Times 2.81 by 100
Hope it helps :)
Find the range of values of x for which
|2x+1|-x-3<0, where x € R.
By analyzing the inequality and solving, the range of values of x for which the inequality is true is x € (-4/3, 4)
What is domain?Domain is the input to the function.
What is range?Range is the output of the function.
First, we'll consider the case where |2x+1|-x-3<0.
|2x+1|-x-3<0
|2x+1|<x+3
Now we need to take the absolute value of 2x+1, we have two cases to consider:
Case 1:
2x + 1 > 0
2x + 1 < x + 3
2x - x < 3 + 1
x < 4
Case 2:
2x + 1 < 0
-2x - 1 < x + 3
-2x - 1 -x - 3 < 0
-3x - 4 < 0
x > -4/3
Now we must find the intersection between the two cases:
x € (-4/3, 4)
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WILL GIVE POINTS
Three Algebra 1 students are comparing how fast their social media posts have spread. Their results are shown in the following table:
Student Amber Ben Carter
Description Amber shared her photo with 3 people. They continued to share it, so the number of shares increases every day, as shown by the function. Ben shared his post with 2 friends. Each of those friends shares with 3 more every day, so the number of shares triples every day. Carter shared his post with 10 friends, who each share with only 2 people each day.
Social Media Post Shares f(x) = 3(4)x
Day Number of Shares
0 2
1 6
2 18 Carter shared his post with 10 friends, who each share with only 2 people each day.
Write an exponential function to represent the spread of Ben's social media post.
Write an exponential function to represent the spread of Carter's social media post.
Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers.
If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?
Based on your results, which student's post travels the fastest? How is this shown in the equation form of the functions?
If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions.
a. The exponential function to represent the spread of Ben's social media post is f(x) = 2(3)^x
b. The exponential function to represent the spread of Carter's social media post is f(x) = 10(2)^x
c. On Day 3, Ben's post will have 2(3)^3 = 227 = 54 shares, Carter's post will have 10(2)^3 = 108 = 80 shares. On Day 10, Ben's post will have 2(3)^10 = 259049 = 118098 shares, Carter's post will have 10(2)^10 = 101024 = 10240 shares.
d. Adding 45 to the function representing Amber's photo shares changes the function to f(x) = 3(4)x + 45. The new function will shift the graph upward by 45 units.
e. Based on the functions, Ben's post travels the fastest because the base of the exponent, 3, is greater than the base of the exponent, 2, for Carter's post.
f. It depends on the goal of the post. If the goal is to reach a larger audience quickly, then having more friends initially but fewer shares like Carter is preferable. But if the goal is to reach a smaller audience but with a more engaged audience, then having fewer friends initially but more shares like Amber is preferable.
What is exponential function examples?An exponential function is one in which the variable is an exponent. Mathematically, it is defined as f of R in R, such that f(x) = ax, where a ϵ R, a > 0 and a ≠ 1. The graph of this function is a curve obtained by finding some ordered pairs that belong to the function and drawing this curve that passes through them.
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22. Choose ALL the expressions that are equal to 18m+36*
3(15m+33)
6(3m+6)
2(9m+18)
6(3m+30)
3(6m+12)
18(m+2)
Answer:
6(3m + 6)
mark me brainliest
the sum of a four angles of quality is 180 true or false
Answer:
the sum of a four angles of quadrilateral is 180.False
Note: its 360°
false
hope this helps you
I need help understanding area with combined shapes
Answer:
Step-by-step explanation:
You can start by splitting one whole complex shape into multiple shapes. Then find the areas of the shapes and add them together. Check the image I attached.
Find each marked side or angle show the step by step
Answer:
taking b as reference angle
using cos rule
cos b=b/h
cos b=1.3/2.8
cos b=0.46
cos 62 =0.46
Step-by-step explanation:
therefore the value of b is 62 degree
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
8.2
Step-by-step explanation:
(4.5)^2+(6.9)^2=c^2
20.25+47.61=67.86
sqrt of 67.86= 8.2 (rounded already) :)
Evaluate the given integral by changing to polar coordinates. sin(x2 y2) dAR, where R is the region in the first quadrant between the circles with center the origin and radii 3 and 4
Answer:
The result of the integral is [tex]\frac{\pi}{4}(-\cos{16} + \frac{9})[/tex]
Step-by-step explanation:
Polar coordinates:
In polar coordinates, we have that:
[tex]x^2 + y^2 = r^2[/tex]
And
[tex]\int \int_{dA} f(x,y) da = \int \int f(r) r dr d\theta[/tex]
In this question:
[tex]\int \int_{dA} \sin{(x^2+y^2)} dA = \int \int_{dR} = \sin{r^2}r dr d\theta[/tex]
Region in the first quadrant between the circles with center the origin and radii 3 and 4
First quadrant means that [tex]\theta[/tex] ranges between [tex]0[/tex] and [tex]\frac{\pi}{2}[/tex]
Between these circles means that r ranges between 3 and 4. So
[tex]\int \int_{dR} = \sin{r^2}r dr d\theta = \int_{0}^{\frac{\pi}{2}} \int_{3}^{4} \sin{r^2} r dr d\theta[/tex]
Applying the inner integral:
[tex]\int_{3}^{4} \sin{r^2} r dr[/tex]
Using substitution, with [tex]u = r^2, du = 2rdr, dr = \frac{du}{2r}[/tex], and considering that the integral of the sine is minus cosine, we have:
[tex]-\frac{\cos{r^2}}{2}|_{3}{4} = \frac{1}{2}(-\cos{16} + \frac{9})[/tex]
Applying the outer integral:
[tex] \int_{0}^{\frac{\pi}{2}} \frac{1}{2}(-\cos{16} + \frac{9}) d\theta[/tex]
Has no factors of [tex]\theta[/tex], so the result is the constant multiplied by [tex]\theta[/tex], and then we apply the fundamental theorem.
[tex]\frac{\theta}{2}(-\cos{16} + \frac{9}) = \frac{\pi}{4}(-\cos{16} + \frac{9})[/tex]
The result of the integral is [tex]\frac{\pi}{4}(-\cos{16} + \frac{9})[/tex]
What is the perimeter of the figure?
320 ft is the perimeter
PLS HELP NO LINKS PLEASE I NEED ANSWER.What is the surface area of the following triangular prism? 126 yd 2 96 yd 2 162 yd 2 90 yd 2
Answer:
The answer is 96 yd 2
Step-by-step explanation:
5x7=35
4x7=28
3x7=21
then you add all of the total values together:
35+28+21+12=96
Answer:
96 its right
Step-by-step explanation:
ty to the person above
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer: G = 50°, I = 50°, H = 80°
Step-by-step explanation:
First and foremos, the sum of three angles of a triangle is 180°
2x + 2x + (4x - 20) = 180°
8x - 20 = 180°
8x = 180° + 20 (adding 20 on both sides)
8x = 200°
x = 200/8
x = 25
The value of the angles can be found by replacing the value of x with 25
2x = 2 x 25 = 50°
Therefore, the angle of two angles are 50°
And the other is (4 x 25) -20 = 80°
7 - Select the equation that represents a true statement.
Mark all that apply.
A. 2+3 × 4 = 22 +12
B. z+zx9 = 9z O
C. -8y + 4.3y + 3.7 = 0
D. 12-1.8b+ 1.8b = 1.8b
E. m8+7(8) = m
So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
A. 2+3 × 4 = 22 +12 is not a true statement, because the order of operations is not followed, multiplication should be done before addition.
B. z+zx9 = 9z is not a true statement, because it is not clear what the operation is between z and x, and what the operation is between x and 9
C. -8y + 4.3y + 3.7 = 0 is a true statement because it is a linear equation with one variable y, it represents a straight line.
D. 12-1.8b+ 1.8b = 1.8b is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.
E. m8+7(8) = m is not a true statement, as it seems to be a mathematical manipulation of one side of the equation to the other, but it doesn't seem to make sense mathematically.
So the only true statement among the options is C. -8y + 4.3y + 3.7 = 0
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I don’t understand the problem and need help
Answer:
D. In a given year, the amount spent on repair decreases by 99 for each oil change the owner gets
Step-by-step explanation:
From the equation given, the slope of the regression model is the Coefficient of x ; which is - $99 ; this means that we have a negative slope value and thus an increase in unit of x will lead to decrease of y, which is the amount spent. Hence, for every oil change athecar gets, the amount spent on repair that year decreases by $99
What is the volume of the following rectangular prism? Express your answer in cubic millimeters. 288 mm 3 5,760 mm 3 2,880 mm 3 28,800 mm 3
answer: 2,880
explination: my program marked it as correct
Question 5 Use the following information to determine your answers: The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answer:
(6.2, 8.8)
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% of adults:
Within 1 standard deviation of the mean. So
7.5 - 1.3 = 6.2 hours
7.5 + 1.3 = 8.8 hours.
So the answer is (6.2, 8.8).
A conservative investor has $100,000 to invest. The investor has decided to use three vehicles for generating income: Municipal bonds, a certificate of deposit (CD), and a money market account. After reading a financial newsletter, the investor also has identified several additional restrictions on the investments:
a. No more than 40 percent of investment should be in bonds
b. The proportion allocated to the money market account will be at least double the amount in the CD
c. The annual return will be 8% for bonds, 9% for the CD and 7% for the money market account. Assume that the investor wants to maximize the total annual return
Then, formulate the LP model for this problem, ignoring any transaction costs and the potential for different investment
Answer: Here, let X,Y,ZX,Y,Z indicate the amount in dollars to be invested
Step-by-step explanation: Here, let X,Y,ZX,Y,Z indicate the amount in dollars to be invested
Simplify (write without absolute value sign): |x+3|, if x>2
Answer:
5
Step-by-step explanation:
Substitute 2 in for x
|2+3| = 5
This would take the absolute value of the answer, or in other words once you solve the equation it will remove any negatives to return a positive number. I took the test and I have links to prove it.
The scatter plot shows the ages of people at a retreat and the number of events they participated in. The equation for the regression line is yˆ=−1.3x+45.8.
Answer:
C
Step-by-step explanation:
For each increase of one year of age, the number of events a person participated in decreases by 1.3. Option C is correct.
As there is only one projection on the x-axis and one projection on the y-axis for each point, scatter plots are graphs that depict individual points of data and are labeled with quantitative values on both coordinate axes. Scatter plots, which display data points on a horizontal and vertical axis, are used to demonstrate how much one variable influences another.
It is given that, the equation for the regression line is yˆ=−1.3x+45.8.
The scatterplot is drawn between the number of events and age which shows the age of event participants.
It is obtained that the number of events a person participated in reduces by 1.3 for every year of age increase.
Thus,option C is correct.
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Will mark brainliest (I also need to find the x and y intercepts)
One final question, what would be the proper way to write this? I thought it was the last one answer but I’m not sure
Answer:
OMG NO- KEEP IT THAT WAY
You're already right! :)
Greenfields is a mail order seed and plant business. The size of orders is uniformly distributed over the interval from $25 to $80. Use the following random numbers to generate the size of 10 orders. .41 .99 .07 .05 .38 .77 .19 .12 .58 .60 What is the value for the first order size generated randomly based on random number 0.41? What is the value for the last order size generated randomly based on random number 0.60? What is the average order size?
Answer:
a) 47.55
b) 58
c) 47.88
Step-by-step explanation:
Given that the size of the orders is uniformly distributed over the interval
$25 ( a ) to $80 ( b )
a) Determine the value for the first order size generated based on 0.41
parameter for normal distribution is given as ; a = 25, b = 80
size/value of order = a + random number ( b - a )
= 25 + 0.41 ( 80 - 25 )
= 47.55
b) Value of the last order generated based on random number (0.6)
= a + random number ( b - a )
= 25 + 0.6 ( 80 - 25 )
= 25 + 33 = 58
c) Average order size
= ∑ order 1 + order 2 + ----- + order 10 ) / 10
= (47.55 + ...... + 58 ) / 10
= 478.8 / 10 = 47.88
The mail order seed follows a uniform distribution
(a) The value of the first order size generated by 0.41
The given parameters are:
[tex]a = 25[/tex] -- the lower bound
[tex]b = 80[/tex] -- the upper bound
To calculate the required value, we make use of the following order formula
[tex]Value = a + r(b - a)[/tex]
Where r represents the random number.
So, we have:
[tex]Value= 25 + 0.41 \times ( 80 - 25 )[/tex]
Open bracket
[tex]Value= 25 + 0.41 \times 55[/tex]
Evaluate the product
[tex]Value= 25 + 22.55[/tex]
Add the terms
[tex]Value= 47.55[/tex]
Hence, the value for the first order size generated randomly based on random number 0.41 is 47.55
(b) The value of the last order size generated by 0.60
In (a), we have:
[tex]Value = a + r(b - a)[/tex]
So, we have:
[tex]Value= 25 + 0.60 \times ( 80 - 25 )[/tex]
Open bracket
[tex]Value= 25 + 0.60 \times 55[/tex]
Evaluate the product
[tex]Value= 25 + 33[/tex]
Add the terms
[tex]Value= 58[/tex]
Hence, the value for the last order size generated randomly based on random number 0.61 is 58
(c) The average order size
To do this, we calculate the order size from 1 to 10, and then calculate the average value of the 10 orders.
Using a calculator, the sum of the 10 orders is:
[tex]\sum x= 478.8[/tex]
The average order size is then calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
This gives
[tex]\sum x= \frac{478.8}{10}[/tex]
[tex]\sum x= 47.88[/tex]
Hence, the average order size is 47.88
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Rewrite the radical expression as an expression with a rational exponent.
the seventh root of x to the thrid power
x to the three sevenths power
x to the seven thirds power
x^21
x^4
Answer:
To rewrite the radical expression "the seventh root of x to the thrid power" as an expression with a rational exponent, we need to use the property that allows us to rewrite a root of a power as a power with a rational exponent. This property states that "the nth root of x to the mth power" is equal to "x to the m/nth power".
Using this property, we can rewrite "the seventh root of x to the thrid power" as "x to the 3/7th power". Therefore, the correct answer is "x to the 3/7th power".
The other answer choices are not equivalent to the original expression. "x to the seven thirds power" is not a valid expression because "thirds" is not a unit of measurement. "x^21" is not equivalent to the original expression because the base and exponent are not related in the same way as in the original expression. "x^4" is not equivalent to the original expression because the base is the same but the exponent is not.
Answer: x to the 3/7th power
Step-by-step explanation:
so you dont have to read a essay to get the answer lol
Two people go to the mall,Mr A said [ I buy 5 bottle of juice and 3 bottle of water , I pay
314 dollars ] . Mr B said [ I buy 1 bottle of juice and 3 bottle of water , I pay 178 dollars ]
How much is a juice ?
Answer: $34
Step-by-step explanation:
They buy the same number of bottles of water
Mr A buys 4 extra bottles of juice and pays $136 more. (5-1=4 and 314-178=136)
Each bottle of juice must cost $34. (136 / 4 = 34)
This assumes the bottles of juice are all the same price!
The water bottles will cost (178 - 34) / 3 = $48.
The values in this problem are unrealistic!