Answer:
37/49
Step-by-step explanation:
12+20+17=49
20+17=37
Math question 20 PTS
(h – k)(3) =
Answer:
3h - 3k
Step-by-step explanation:
I hope that this answer will help
You have to distribute
Find the value of k if it is known that the graph of y=kx goes through:
A(4, −80)
Answer:
k = ____
Answer:
k= -20
Step-by-step explanation:
In y=kx , substitute 4 for x and -80 for y.
-80=k(4)
k= -80/4
k= -20
how do you solve this by clearing using LCD? 1/=k+3/3k+1/3k
By clearing the expression using the LCD, the simplified form is 7/(3k).
To solve the expression using the least common denominator (LCD), we need to find the LCD of the denominators involved. Let's break down the steps:
Given expression: 1/(k) + 3/(3k) + 1/(3k)
Find the LCD of the denominators.
In this case, the denominators are k, 3k, and 3k. The LCD can be found by identifying the highest power of each unique factor. Here, the factors are k and 3. The highest power of k is k and the highest power of 3 is 3. Therefore, the LCD is 3k.
Rewrite the fractions with the LCD as the denominator.
To clear the fractions using the LCD, we need to multiply the numerator and denominator of each fraction by the missing factors required to reach the LCD.
For the first fraction, the missing factor is 3, so we multiply both the numerator and denominator by 3:
1/(k) = (1 * 3) / (k * 3) = 3/3k
For the second fraction, no additional factor is needed, as it already has the LCD as the denominator:
3/(3k) = 3/(3k)
For the third fraction, the missing factor is 1, so we multiply both the numerator and denominator by 1:
1/(3k) = (1 * 1) / (3k * 1) = 1/3k
After clearing the fractions with the LCD, the expression becomes:
3/3k + 3/3k + 1/3k
Combine the fractions with the same denominator.
Now that all the fractions have the same denominator, we can combine them:
(3 + 3 + 1) / (3k) = 7 / (3k)
Therefore, by clearing the expression using the LCD, the simplified form is 7/(3k).
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What is the distance from the origin to point P graphed on the complex plane below
Answer:
b) √29
Step-by-step explanation:
Given: The origin is (0, 0), the point P is (2, -5).
We need to use the distance formula.
Distance formula =
Here x2 = 2, x 1 = 0, y1 =0, y2 = -5
Distance =
= √(4 + 25)
= √29
The answer is b) √29
Hope you will understand the concepts
Thank you!!
A triangle has a perimeter of 7x + 8. The first side of the triangle has a length of 3x, and the second side has a length of 2x − 5. What is the length of the third side of the triangle?
x + 13
2x + 13
5x − 5
12x + 3
The length of the third side of the triangle is 2x+13.
According to the question,
We have the following information:
A triangle has a perimeter of 7x + 8. The first side of the triangle has a length of 3x, and the second side has a length of 2x − 5.
We know that perimeter of triangle is the sum of all three sides of triangle.
Let's take its third side to be y.
So, we have the following expression:
3x+2x-5+y = 7x+8
5x-5+y = 7x+8
Adding 5 on both the sides:
5x+y = 7x+8+5
5x+y = 7x+13
Subtracting 5x from both the sides:
y = 7x-5x+13
y = 2x+13
Hence, the correct option is B.
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Answer:
B. 2x+13
Step-by-step explanation:
I got it right on the test
-------------------- in case of Dos contains a group of file and other folder and directories
It allows users to create, rename, and delete directories, as well as move files from one directory to another.
In case of DOS, a group of files and other folders and directories is called a directory.
DOS, or Disk Operating System, was the first widely used operating system for IBM-compatible personal computers.
A directory is a file system concept in which a group of files and other folders and directories is combined together.
The term folder is synonymous with the term directory. In Windows and other modern operating systems, the term folder is more commonly used instead of directory.
DOS utilizes directories to keep files organized. It allows users to create, rename, and delete directories, as well as move files from one directory to another.
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The number of sails you could make for $10,000 if the sail material costs $30 per square yard
Solve the following inequality.
45 < 9(x+3) < 153
Answer:
2 <x <14
Step-by-step explanation:
so far you have attanded 2 of the 8 classes of school day. What percent of yput classes have you attended?
Answer:
2/8 = 1/4 = 25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Divide 2 by 8 and turn decimal into a percentage.
2 ÷ 8 = 0.25→25%
How many grams are in a half?
Answer:
A half is not a unit of measure for weight, so it is not possible to answer this question.
A value is decreased by 85% for a new value of 17.1. Find the original value.
Answer:
114
Step-by-step explanation:
let 'n' = original value
(17.1 - n) / n = -85/100
cross-multiply:
1710 - 100n = -85n
1710 = 15n
n = 1710/15
n = 114
the diameter of a football is five times the diameter of a cricket ball ratio of surface area of football and cricket ball is
Answer:
25 : 1
Step-by-step explanation:
The diameter of the football is 5 times the diameter of the cricket ball. This means that the radius of the football is also 5 times the radius of the cricket ball.
Let the radius of the football be R.
Let the radius of the cricket ball be r.
This implies that:
R = 5r
Both balls are spherical.
The surface area of the cricket ball is given as:
\(a = 4\pi r^2\)
The surface area of the football is given as:
\(A = 4\pi R^2\)
\(=>A = 4\pi (5r)^2\\\\A = 100\pi r^2\)
Therefore, the ratio of their surface areas is:
A : a
\(100\pi r^2 : 4\pi r^2\)
= 100 : 4
25 : 1
Ratio of the surface area of football and cricket ball = 25 : 1
Recall:
Surface area of a sphere = 4πr², where, r = radius of the sphereGiven:
Diameter of football = 5 times diameter of cricket ballBy implication,
radius of football = 5 times radius of cricket ball
Let,
R = radius of footballr = radius of cricket ballA = Surface area of footballa = Surface area of cricketThis means that:
R = 5r
Surface Area of Football:
A = 4 × π × (5r)²
A = 100πr²
Surface Area of Cricket ball:
a = 4 ×π × (r)²
a = 4πr²
Ratio of surface area of football and cricket ball = 100πr² : 4πr² = 25 : 1
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Problem
Using the following image, find the value for I.
(x + 13)
(4x + 2)°
Answer:
x=33
Step-by-step explanation:
The angles of a straight line always add up to 180°.
Hence, (x+13)+(4x+2)=180 we can then remove the parenthesis and we get x+13+4x+2. Adding the two, we get 5x+15=180--->x=33
The two angles:
46° and 134°
completing the steps in the image, you should choose supplementary in the drop-down. Supplementary means the angles add up to 180 degrees In the next blank, put 4x+2. In the last blank, put 180 degrees.
Rohit earns rupees 1500 and spends rupees 1250 per month. Find the ratio between his:
a) savings and expenditure b) expenditure and income c) income and savings
Step-by-step explanation:
To find the ratio between Rohit's savings and expenditure, we need to divide his savings by his expenditure:
Savings / Expenditure = (1500 - 1250) / 1250 = 250 / 1250 = 1/5
The ratio between Rohit's savings and expenditure is 1/5.
To find the ratio between Rohit's expenditure and income, we need to divide his expenditure by his income:
Expenditure / Income = 1250 / 1500 = 5/6
The ratio between Rohit's expenditure and income is 5/6.
To find the ratio between Rohit's income and savings, we need to divide his income by his savings:
Income / Savings = 1500 / (1500 - 1250) = 1500 / 250 = 6/1
The ratio between Rohit's income and savings is 6/1.
The garden club bought 2,360 tulip bulbs. They want to split the bulbs equally into at
least 3, but less than 10, gardens with no bulbs left over. How many gardens could they
split them into without having any left over?
fiona divided 3x2+5x-3 by 3x+2. the expression represents the remainder over the divisor.what is the value of a? -5-115
The value of a is -5 after Fiona divided 3x² + 5x - 3 by 3x+2.
To find the value of a, we need to perform a polynomial division of 3x² + 5x - 3 by 3x + 2. The result of the division is a polynomial plus a remainder, which should be equal to ax + b for some constants a and b. The constant b represents the remainder over the divisor, so we can set the expression equal to b to find its value. When dividing 3x² + 5x - 3 by 3x + 2 using polynomial long division, we get:
x
3x + 2 | 3x² + 5x - 3
- 3x² - 2x
3x - 3
3x + 2
-5
Therefore, the remainder is -5, which is represented by the expression a = -5.
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Rewrite the equation by completing the square.
X^2+8x+12=0
Answer:
(x + 4)² - 4 = 0
Step-by-step explanation:
Given
x² + 8x + 12 = 0
To complete the square
add/ subtract ( half the coefficient of the x- term )² to x² + 8x
x² + 2(4)x + 16 - 16 + 12 = 0
(x + 4)² - 4 = 0
The value of a company equipment is $25000 and decreases at a rate of 15% per year. What is the value of the equipment after 8 years.
Answer: $6812.3
Step-by-step explanation: Just solve decreasing 15% each year
What is half of a hundred?
Answer:
50
Step-by-step explanation:
Let f(x) = 12 over the quantity of 4 x + 2. Find f(−1). (1 point)
Answer:
-6
Step-by-step explanation:
Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly
f(x) = 12 / 4x +2
Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side
f(-1) = 12/ 4(-1) + 2
f(-1) = 12 / - 4+2
= 12/ - 2
= - 6
Does the graph represent a function? Why or why not?
Answer:
The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.
Step-by-step explanation:
Can i get braineist pls
baddeley and hitch asked rugby players to remember all of the rugby games they had played over the course of a single season. according to their data, which is the most important factor in determining whether the players will remember a particular game?
According to Baddeley and Hitch's research, the most important factor in determining whether rugby players will remember a particular game is the amount of time that has elapsed since the game was played.
Specifically, players were more likely to remember games that occurred early in the season and those that were particularly important or emotionally charged, while they were less likely to remember games that occurred later in the season or those that were less meaningful or emotionally significant.
This phenomenon is known as the "serial position effect" and has been observed in other contexts as well.
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Lyle bought 6 bell pepers for $11.34. What was the cost of 1 bell pepper?
Answer:
$1.89
Step-by-step explanation:
11.34/6= $1.89 for one bell pepper
HELPPPPPPPPPPPPPPPPPPPPPPP
Help me please need help.
Answer:
3.8cm
Step-by-step explanation:
You deposited $1900 in the Cy-Fair Bank! After 8 years, you earned a siimple interest of $684. What percent interest was paid by the bank?
Answer: 36%
Step-by-step explanation:
If the y value increases as the x value increases the slope is positive. True or false
The graph represents the projected profits for a company, y, based on the number of units sold, x. On a coordinate plane, a parabola with a dashed boundary line opens down. It goes through (15, 0), has a vertex at (25, 200), goes through (30, 15) and goes through (35, 0).
If the end-of-year analysis indicates that profits did not meet expectations, which inequality in vertex form represents the region containing the results of the year?
y less-than negative 2 (x + 25) squared minus 200
greater-than 2 (x minus 25) squared + 200
y greater-than 2 (x + 25) squared minus 200
y less-than minus 2 (x minus 25) squared + 200
The quadratic inequality that models the situation is given by:
y < -7.4(x - 25)² + 200.
Equation of parabola from vertexThe equation of a quadratic function, of vertex (h,k), is given by the rule presented as follows:
y = a(x - h)² + k
In which:
h is the x-coordinate of the vertex of the parabolic function.k is the y-coordinate of the vertex of the parabolic function.a is the leading coefficient of the function.The vertex is of (25, 200), hence the parameters are as follows:
h = 25, k = 200.
Hence the equation is:
y = a(x - 25)² + 200.
When x = 30, y = 15, hence the leading coefficient is calculated as follows:
15 = a(30 - 25)² + 200
25a = -185
a = -185/25
a = -7.4.
Hence, considering that the company did not meet it's goals, the inequality is:
y < -7.4(x - 25)² + 200.
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a man starts walking north at 3 ft/s from a point p. five minutes later a woman starts walking south at 6 ft/s from a point 500 ft due east of p. at what rate (in ft/s) are the people moving apart 15 minutes after the woman starts walking? (round your answer to two decimal places.)
8.987 ft/s rate of people moving apart 15 minutes after the woman starts walking.
What is Chain Rule in Derivative?The chain rule is a formula used in differential calculus to determine the derivative of a composite function.
If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'.
Given:
dx/ dt = 4 ft/s, dy/dt = 5 ft/s
So, z²= ( x + y)² + 500²
Using Chain Rule
2z dz/dx = 2(x+ y) ( dx/dt + dy/dt) + 500
Now, 15 minutes after women starts
= 4 x 20 x 405
= 4800 ft
and, y = 5 x 15 x 605
= 4500 ft
and, z= 4500+ 4800 /√(4500+ 4800)² + 500² (4+ 5)
z=9300/ 9,313.43 x 9
z= 8.987
Hence, 8.987 ft/s rate of people moving apart 15 minutes after the woman starts walking.
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a store is having a 20% off sale on all merchandise. if mai buys one item and saves $13, what was the original price of her purchase