Answer:
Step-by-step explanation:
The value of y has been given which is y = -5x + 32
So by substituting it here in the equation,
=> 3x - 5y =22
=> 3x - 5(-5x + 32) = 22
=> 3x + 25x - 70 = 22
=>28x = 22+ 70
=> 28x = 92
=> x = 92/28
Hope you understood!!
Answer: x=13/2
Step-by-step explanation:
Solved using the elimination method
3x-5y=22
x5(y=-5x+ 32)x5 - Second equation multiplied by 5
3x-5y=22
25x+5y=160
\(\frac{28x}{28} =\frac{182}{28}\)
x=182/28
Simplified (divide each term by 14): x=13/2
For the following scores, what is \( x+1 ? \) Scores: \( 3,0,5,2 \) 11 14 20 32
x+1 for the given scores is 11.
To find x+1 for the given scores, we need to sum up the scores and add 1 to the sum. Let's calculate step by step:
Step 1: Add up the scores.
3+0+5+2=10
Step 2: Add 1 to the sum.
10+1=11
So, x+1 for the given scores is 11.
Let's break down the steps for clarity. In Step 1, we simply add up the scores provided: 3, 0, 5, and 2. The sum of these scores is 10.
In Step 2, we add 1 to the sum obtained in Step 1. So, 10 + 1 equals 11.
Therefore, x+1 for the given scores is 11.
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PLEASE HELP IT’S DUE TMR
Answer:
hope you find the answer
Find the value of r so the line that passes through each pair of points has the given slope.
(5, 9), (r, –3), m = –4
The value of r is 8 for the points to have a slope of -4.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is also defined as the ratio of the rise and the run.
The slope is calculated by the formula below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the points are (5, 9) and (r, –3) and the slope is -4. The value of the unknown number will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
-4 = ( -3 - 9) / ( r - 5 )
-4r + 20 = -12
-4r = -32
r = 32 / 4
r = 8
Therefore, the value of r is 8 for the points to have a slope of -4.
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The endpoints of AB are A (-9, -1) and B (-3, 7). Find the coordinates of the
midpoint M. *
Answer:
(-6 , 3)
Step-by-step explanation:
Co-ordinates of A = (-9,-1)
So let x¹ = -9 & y¹ = -1
Co-ordinates of B = (-3,7)
So let x² = -3 & y² = 7
According to Section formula ,
\((x',y') = ( \frac{mx^2 + nx^1}{m + n} ,\frac{my^2 +ny^1}{m + n} )\)
where (x' , y') are the co-ordinates of the point which divides a line segment internally & (m , n) are the ratios in which the line is divided into.
As we have to find the co-ordinates of mid-point of AB , here m = n = 1 (∵ A mid-point always divides a line segment into 2 equal parts. Hence the ratio of length of both lines will be 1 : 1 )
Putting the values in the above formula gives :
\((x' , y') = (\frac{-3-9}{1+1} , \frac{7-1}{1+1} ) = (\frac{-12}{2} , \frac{6}{2} ) = (-6 , 3)\)
∴ Co-ordinate of M = (-6 , 3)
A store pays two fees when a customer uses a credit card to make a purchase. These fees include:
A flat fee of $0.15
A processing fee equal to 1.75% of the dollar amount of the purchase.
There is no sales tax on the purchase.
Part A
What is the amount, in dollars and cents, the store pays in fees for a $60.00 purchase by a customer using a credit card?
Answer:
So the amount to pay is $1 and 20 cents ( or a total of 120 cents)
Step-by-step explanation:
What is the domain of the function shown on the graph?
Answer:
domain {x:x≥-2}or in interval notation [-2,∞)
Please help me with this. I need to solve for x.
4ln(7x+3)+12=40
Answer:
\(x=\frac{e^7-3}{7}\)
Step-by-step explanation:
4* ln(7x+3) + 12 = 40
4* ln(7x+3) + 12 - 12 = 40 - 12
4* ln(7x+3) = 28
ln(7x+3) = 28/4
ln(7x+3) = 7
e^7 = (7x + 3)
e^7 - 3 = 7x
\(x=\frac{e^7-3}{7}\)
show y = x^2 + 20x - 5 in vertex form show work
i will brainliest
Answer:
Y=(x+10)^2-105
Step-by-step explanation:
y=x^2+20x-5
y+?=x^2+20x+?-5
y+?=x^2+20x+100-5
y+100=x^2+20x+100-5
y+100=(x+10)^2-5
y=(x+10)^2-5-100
Solve x dx
dy
=y+ x 2
−y 2
,x>0. 9) Solve dx
dy
=y+ xlnx
y
,y(e)=1.
The solution to the differential equation x dx + dy = y + x²- y², with the initial condition y(e) = 1, is x = y + xln(x) - 1.
To solve the differential equation xdx + dy = y + x² - y², we can rewrite it as:
xdx + (y² - y)dy = x²dy.
Integrating both sides, we get:
∫xdx + ∫(y² - y)dy = ∫x²dy.
Integrating the left side:
(1/2)x²+ (1/3)(y³ - y²) = (1/2)x² + C.
Simplifying the equation, we have:
(1/3)(y³ - y²) = C.
Now, we can solve for y:
y³- y² = 3C.
To solve dx/dy = y + xln(x)/y, we can rewrite it as:
dx/dy = y/y + xln(x)/y,
dx/dy = 1 + (xln(x))/y.
Separating the variables, we get:
dx = (1 + (xln(x))/y)dy.
Integrating both sides, we have:
∫dx = ∫(1 + (xln(x))/y)dy.
x = y + xln(x) + C.
Using the initial condition y(e) = 1, we can substitute it into the equation:
e = 1 + elne + C,
e = 1 + e + C,
C = -1.
Therefore, the solution to the differential equation dx/dy = y + xln(x)/y, with the initial condition y(e) = 1, is:
x = y + xln(x) - 1.
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Mina says triangle A with angles
measuring 34° and 57° is similar to
triangle B with angles measuring 57°
and 89º. Is Mina correct?
Answer:
Yes, Mina is correct
Step-by-step explanation:
Let the triangles be A and B
Given
Triangle A:
\(Angles = 34, 57\)
Triangle B:
\(Angles = 89, 57\)
Required
Is Mina's claim correct?
First, we calculate the third angle in both triangles.
For A:
\(Third\ Angle = 180 - 34 - 57\)
\(Third\ Angle = 89\)
For B:
\(Third\ Angle = 180- 89 - 57\)
\(Third\ Angle = 34\)
For triangle A, the angles are: 34, 57 and 89
For triangle B, the angles are: 34, 57 and 89
Since both triangles have the same angles, then by the postulate of AAA (Angle-Angle-Angle), the triangles are similar.
If Paula divides her pencils among three friends and herself, everyone gets the same number of pencils. If Paula divides her pencils among
five friends and herself, everyone will get the same number of pencils.
How many pencils could Paula have?
A 28
B. 30
C. 42
D. 48
How is 110,000 expressed using a power of 10
Answer:
I think it's 11³
Answer:
The answer to the said question: 1/10,000
is -4
Step-by-step explanation:
Just did the assignment :D
have a nice day <3
GEOMETRY/ TRIG PLEASE HELP
Just everything below the word problem!! Anything helps
Answer:
52
Step-by-step explanation:
yes
is the relationship represented by the table proportional or not? show how do you know on the sketchpad (Table is shown on the sketchpad.)
if it is proportional, what is the constant of proportionality (COP)?
Answer:
No, the table is not proportional. I know this because when you divide x by y the answer is not the same.
y/x = Unit rate or constant rate
Work : (The numbers that are bold are the quotient of y/x)
85 = 17 79 = 7.9 73 = 3.65 67 = 1.67
5 10 20 40
monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1300 hours and a mean life span of 15,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,340 hours. round your answer to four decimal places.
The probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.
We can use the standard normal distribution to solve this problem by standardizing the value of 17,340 hours to a z-score:
z = (17340 - 15000) / 1300 = 1.8
Using a standard normal distribution table or calculator, we find that the probability of getting a value greater than 1.8 is 0.0359.
Therefore, the probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.
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I will give 80 points for this
Answer:
What is the question?
And also.
Please mark as brainliest.
Answer:
they are in the bathroom, the other one is in my bedroom. BOOM Please give me brainliest
Step-by-step explanation:
[amc10a.2006.13] a player pays to play a game. a die is rolled. if the number on the die is odd, the game is lost. if the number on the die is even, the die is rolled again. in this case the player wins if the second number matches the first and loses otherwise. how much should the player win if the game is fair? (in a fair game the probability of winning times the amount won is what the player should pay.)
To determine the amount the player should win in a fair game, we need to calculate the probability of winning and then find the appropriate amount to be won.
First, let's consider the possible outcomes:
1. The game is lost if the first roll results in an odd number (3 possibilities: 1, 3, 5).
2. The game is won if the first roll results in an even number, and the second roll matches the first (3 possibilities: 2, 4, 6).
The probability of winning can be calculated as the probability of the second roll matching the first, which is 1/6 since there are six equally likely outcomes for each roll.
To make the game fair, the expected value of the winnings should be zero. In this case, the player loses the amount paid to play the game if they lose, and they win an unknown amount if they win. Since the probability of winning is 1/6, the amount won should be 6 times the amount paid to play the game.
Therefore, in a fair game, the player should win 6 times the amount paid to play.
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two cars leave towns kilometers apart at the same time and travel toward each other. one car's rate is kilometers per hour less than the other's. if they meet in hours, what is the rate of the slower car?
The rate of the slower car is 152 km/hr.
Given:
two cars leave towns 340 kilometers apart at the same time and travel toward each other. one car's rate is 18 kilometers per hour less than the other's. if they meet in 2 hours.
Let x be the rate of slower car.
We have two cars heading towards each other. They start 340 km apart and meet up 2 hours later. This means that they are traveling:
340 / 2 = 170 km/hr towards each other.
If the two cars were traveling the same speed, they'd both be going:
170 / 2 = 85 km/hr
We know that one car is traveling 18 km/hr faster than the other car. One way we can account for this is to ± 9 km/hr to the average speed:
85 ± 9 = 94 , 76 km/hr
rate of slower car x = 84 - 9 * 2
x = 76 * 2 km/hr
= 152 km/hr
Therefore The rate of the slower car is 152 km/hr.
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Full question:
two cars leave towns 340 kilometers apart at the same time and travel toward each other. one car's rate is 18 kilometers per hour less than the other's. if they meet in 2 hours, what is the rate of the slower car?
Two friends, Houa and Lincoln, had just bought their first cars. Lincoln uses 7 gallons of gas to drive 214.9 miles in his car. The graph below represents the number of miles, y, that Houa can drive her car for every x gallons of gas.
Based on the information provided, it can be concluded that Houa can drive 125 miles for 7 gallons of gas.
How to calculate the number of gallons that Houa can drive?To determine the number of gallons this person can drive, just observe the graph presented and determine the value of Y (miles driven) when the value of x (gallons of gas) is 7. Based on this principle it can be concluded that for 7 gallons Houa can drive 125 miles.
This implies that if we compare both cars (Houa's and Lincoln's), the car that requires less gasoline is Lincoln's car.
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(Solve): 6x^3 -x^2 - 19x - 6 = 0
Answer:
Step-by-step explanation:
After some trial and error, we can find that x = 2 is one solution to this problem. We know that then (x-2) is a solution. We can then do polynomial division to get a quadratic equation. We can then solve the quadratic equation to get the other two factors which are -1/3 and -3/2. You can also graph it and find the roots as well. There isn't a really good method to do this and it is more like trial and error.
The volume of a right cone is 168
π
π units
3
3
. If its diameter measures 12 units, find its height.
Answer:48
Step-by-step explanation:
PLEASE HURRY I NEED HELP
Answer:
I think 58% I’m not 100% sure but yea
Step-by-step explanation:
I divided the number of votes for printed 71 by the total number of votes 122 so 71/122=.58 58%
A single 6 sided die is rolled which best describes the probability of rolling a number greater than 6
Answer:
0% chance
Step-by-step explanation:
if the cube is 1-6 then 6 is the highest number. there is non higher.
If 8 km = 5 miles, convert 350 miles into km.
Answer:
560 is your answer... I hope it helps
There are 18 balls in a basket. Nine of them
are tennis balls. How many balls in the
basket are not tennis balls?
Give the multiples of each number. Then find their Least Common Multiple,
1. 3 12
LCM =
2. 4 9
LCM-
3. 8 12
LCM = 24
4. 12 15
LCM =
5. 8 5
What is the inverse of y = x² + 15 ? Is the inverse a function? Explain.
The inverse of y = x² + 15 is not a function because it fails the vertical line test, which states that a vertical line should intersect the graph of a function at most once.
To find the inverse of the given function y = x² + 15, we can follow these steps:
Step 1: Replace y with x and x with y: x = y² + 15.
Step 2: Solve this equation for y. Rearranging the equation gives us: y² = x - 15.
Step 3: Take the square root of both sides: y = ±√(x - 15).
Since we have a ± symbol in the equation, it indicates that the inverse is not a function. A function requires that each input value (x) corresponds to a unique output value (y). However, in this case, a single value of x can yield two possible values of y due to the ± symbol.
Therefore, the inverse of y = x² + 15 is not a function because it fails the vertical line test, which states that a vertical line should intersect the graph of a function at most once.
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find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
n ∈ natural even numbers
Step-by-step explanation:
1 + 3 + 5 + 7 + … + (2n-1)
a = 1b = 2Uₙ = 2n - 1sum of the first n terms :
Sₙ = n/2(a + Uₙ)
Sₙ = n/2(1 + 2n - 1)
Sₙ = n/2(2n)
Sₙ = n²
∴ so, the solution of n is all natural even numbers
Refer to the attachment
(a) Use six rectangles to find estimates of each type for the area under the given graph of f from x
We have to find the area under the graph but since we are not given the graph ,So let's learn how it is done. To estimate the area under the graph of function f from x, you can use rectangles. Here's how you can do it:
Step 1: Divide the interval [a, b] into six equal subintervals.
Step 2: Calculate the width of each rectangle by dividing the total width of the interval [a, b] by the number of rectangles (in this case, 6).
Step 3: For each subinterval, find the value of the function f at the right endpoint of the subinterval.
Step 4: Multiply the width of the rectangle by the value of the function at the right endpoint to find the area of each rectangle.
Step 5: Add up the areas of all six rectangles to estimate the total area under the graph of f from x.
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idk how to Evaluate 10^4.
Answer:
10000
Step-by-step explanation:
Do 10x10x10x10 in a calculator
Answer: 10^4= 10,000
Step-by-step explanation:
10^4= 10*10*10*10= 10,000