To solve the equation q-r=r for r, add r to both sides to isolate the variable r. Then, divide both sides by the coefficient of r to find the value of r.
Explanation:To solve the equation q-r=r for r, we want to isolate the variable r on one side of the equation. To do this, we can add r to both sides of the equation:
q - r + r = r + r
This simplifies to:
q = 2r
Next, we can divide both sides of the equation by 2 to solve for r:
q/2 = r
Therefore, the solution is r = q/2.
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If Jeremy walks 2 miles in 74 minutes, then how far will Jeremy walk in 84 minutes?
To find how far Jeremy will walk in 84 minutes, set up a proportion relating time and distance covered.
To find the distance he walks in 84 minutes, you can set up a proportion: 2 miles / 74 minutes = x miles / 84 minutes.
Solving for x, Jeremy will walk approximately 2.27 miles in 84 minutes. Jeremy walks at a speed of 2 miles in 74 minutes.
The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up a car with gasoline with 9 gallons of gasoline. What is the constant of variation?
What number gives a result of -5 when 11 is subtracted from the quotient of the number and 6?
Final answer:
The answer explains how to find a number from an equation involving subtraction and division, providing step-by-step instructions.
Explanation:
To find the number that gives a result of -5 when 11 is subtracted from the quotient of the number and 6, we can create an equation:
Let the number be x.
The equation becomes: x/6 - 11 = -5
Solve for x:
Add 11 to both sides: x/6 = 6
Multiply both sides by 6: x = 36
Therefore, the number is 36.
53 plz help me with this
3 large beads cost 2.50 * 3 = 7.50
30-7.50 = 22.50
20-7.50 = 12.50
so they can spend between 12.50 and 22.50 on small beads
12.50 / 1.25 = 10
22.50/1.25 = 18
can buy between 10 and 18 small beads
1.25x >=12.50 and 1.25x<=22.50
What is the term for the point where angle bisectors of a triangle meet?
Your company gives you a cell phone plan which allows you 600 minutes to talk per month. So far this month, you have used 330 minutes and you have 10 days left on this month's plan. Which inequality could you use to determine how many minutes at most you can use per day so that you don't go over your monthly plan minutes?
A.)10x+330≥600
B.)10x+330>600
C.)10x+330≤600
D.)10x+330<600
That is the screen shot for questions 5.
which of the following is a factor of 15x2-14x-8
Which logical form represents this statement?
Either it is not cold today or i am wearing woolen coat.
p: It is cold today.
q: I am wearing woolen coat.
~p ∧~q
~p ∧ q
~p ∨ q
~(p∨ q)
Answer:
The correct answer is:
~p ∨ q
Step-by-step explanation:
p: It is cold today.
q: I am wearing woolen coat
~p: It is not cold today
V represents either...or...
Hence, ~p V q represents:
Either it is not cold today or i am wearing woolen coat.
Hence, the correct option is:
~p ∨ q
The ratio of red pens to black pens is 3:2. What fraction of the pens are red
Answer:
1/4
Step-by-step explanation:
3/12 simplified is 1/4.
Determine f(2) where f(x)= x+1/4x-2
If cos70 = 0.342, give another angle whose cosine is 0.343
The another angle whose cosine is 0.343 is -70.789 degrees.
Given that,
cos(70) = 0.342
We can use the fact that cos(x) = cos(-x) to find another angle whose cosine is 0.343.
Now
⇒ cos(x) = 0.343
⇒cos(-x) = cos(x)
= 0.343
Now, we need to find -x.
⇒ cos(-x) = 0.343
Taking inverse cosine on both sides, we get:
⇒ -x = arcos(0.343) we get,
⇒ -x = 70.789
Therefore, x = -70.789
Hence, another angle whose cosine is 0.343 is -70.789 degrees.
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Determine the slope of the graph of x3 = ln(xy) at the point (1, e).
The slope of the graph of x^3 = ln(xy) at the point (1, e) is 2e. This is found by taking the derivative of the equation to find a formula for the slope at any point, and then substitifying the given point into that formula.
Explanation:To determine the slope of a graph of the equation x3 = ln(xy) at a specific point, we need to take the derivative of the equation, which gives us the slope at any point. Given the equation x^3 = ln(xy) and the point (1, e), first we can take the derivative implicitly.
Using the chain rule and the fact that the derivative of ln(x) is 1/x, we have 3x2dx = (1/y + x/y')dx. Simplifying this gives y' = (3x2y - 1)/x, which is the derivative of the equation and represents the slope at any given point.
Substituting x = 1 and y = e into the equation of the derivative, we get y' = (3.1e - 1)/1 = 2e, so the slope at the point (1, e) is 2e.
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Find the “missing terms” in the polynomial problems. Answers will have multiple terms.
1. (c^3 + c^2 - 5) + ( ) = c^2 + 2c - 7
2. (2d^2 + d) - ( ) = - d^3 + 3d - 1
3. ( ) - (2x^4 - 2x^2 - 3) = x^4 + x^3 - 2x^2 + x
y=10x+16 looks like what on a graph
I need the answer for 9
((Use the graph shown below to fill in the blank.))
If (4, y) is an ordered pair of the function, then y = a0.
If (4, y) is an ordered pair of the function, then value of y = 1.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
(4, y) is an ordered pair of the function.
Now, The point (4, y) has a known x coordinate of x = 4.
For the value of y at x = 4,
Draw a vertical line through 4 on the x axis.
Then, The vertical line crosses the graph at the point (4, 1).
Thus, The value of y is 1.
Thus, If (4, y) is an ordered pair of the function, then value of y = 1.
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An investment doubles in value every 9 years. What was the starting value of the investment if it is worth $4800 after 27 years.
Which best describes the graph of the function f(x) = 4(1.5)x?
A.The graph passes through the point (0, 4), and for each increase of 1 in the Bx-values, the y-values increase by 1.5.
B.The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.
C.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.
D.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.
Final answer:
The function f(x) = 4(1.5)^x passes through the point (0, 4), and for each unit increase in x-values, the y-values are multiplied by a factor of 1.5, not just increased by a fixed amount.
Explanation:
The function f(x) = 4(1.5)^x describes exponential growth, where the base of the exponent is greater than 1. Thus, the graph of f(x) is not a straight line but an exponential curve. Evaluating the function at x=0 gives us f(0) = 4(1.5)^0 = 4, confirming the graph passes through the point (0, 4). For each increase of 1 in the x-values, the y-values are multiplied by 1.5, not merely increased by 1.5 or 4, consistent with the properties of an exponential function. Therefore, the correct answer is that the graph passes through the point (0, 4), and for each unit increase in x-values, the y-values increase by a factor of 1.5, correlating with option B.
△EFG≅△JKL. What is m∠K?
Answer:
62
Step-by-step explanation:
Bonnie filled her car’s tank. She put in 10 1/2 gallons and paid $15.26. Determine the cost of gasoline per gallon.
Find the sum of each group of numbers. You may add the numbers in any order. Then, check your work by adding the numbers again in a different order. a. 110, 83, and 328 b. 92, 37, 14, and 66 c. 432, 11, 157, and 30
Answer:
1. 110 + 83 + 328 = 521
2. 92 + 37 + 14 + 66 = 209
3. 432 + 11 + 157 + 30 = 630
Which is best definition of contrapposto?
a. an active pose
b.an s-shaped pose
c. a block-shaped pose
The answer is an s shaped pose. Contrapposto is an Italian word that means counterpose. It is practiced in visual arts to depict a human figure standing with the majority of its heaviness on one foot so that its shoulders and arms curl off in an axis from the hips and legs forming a letter s.
I just finished the quiz the answer is B. an S-shaped pose
rewrite the standard form equation below into slope-intercept form. x-2y=3 A. y=x+3 By=-3/2x-1/2 C.y=3/2x-1/2 D.y=1/2x-3/2
Determine the value of r so the line passing through each pair of points has the given slope
(6,3) (r,2), m=1/2
There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days? A. 6y = 2x B. y = 6x + 2 C. y=16x+2 D. y = 2x + 6
Answer:
D. y = 2x + 6
Step-by-step explanation:
The amount of quarters that there´s in the jar is expressed by the letter "Y".
We know the jar had already 6 quarters.
Jill adds 2 quarters to the jar everyday, the number of days Jill does this will be represented by the letter "X", because it´s our variable.
What remains constant is that we started with 6 quarters and Jill deposits 2 more every day
Number of quarters in the jar "Y"= (Number of quarters deposited) 2*(number of days)X + (Number of quarters already in the jar) 6.
Y= 2x+6
Write 5 3/8 as an improper fraction.
15/8
43/8
23/8
53/8
Find the missing term of the following sequence. . . . –45, __, –12, . . .
How many solutions does the equation have?y+7=y–3many solutions1 solutionno solutions?
I'm stuck on trying to get X