Answers
Answer:
[tex]K=-2J+28[/tex]
Step-by-step explanation:
For the given trend line, we need to find the y-intercept and slope of the line for determining its equation.
Equation of a line is of the form [tex]y=mx+b[/tex]
Where, 'm' is the slope and 'b' is the y-intercept.
Here, the variables are 'J' and 'K'.
The y-intercept is the point where the 'J' value is 0. From the graph, when 'J' is 0, then the 'K' value is 28. Therefore, the y-intercept is 28.
Slope is given as the ratio of change in 'K' and change in 'J'
The overall change in 'K' is 0 - 28 = -28.
The overall change in 'J' is 14 - 0 = 14
Therefore, the slope is given as:
[tex]m=\frac{\Delta K}{\Delta J}=\frac{-28}{14}=-2[/tex]
Therefore, the equation of trend line is given as:
[tex]K=-2J+28[/tex]
Related Questions
Which of the following is equivalent to (c + c)(3d + 5)? 2c + 8d 3cd + 7c 6cd + 10c 6c2d + 5c
Answers
Answer:
6cd+10c
Step-by-step explanation:
(c+c)(3d+5)
2c(3d+5)=6cd+10c
solve the equation for y
[tex] - 3x + 8y = - 48[/tex]
Answers
-3x +8y = -48
Add 3x to both sides:
8y = 3x -48
Divide each term by 8:
y = 3x/8 - 6
Answer Y=-45/8
Step-by-step explanation:
-3+8y=-48
-3+8y+3=-48+3
8y=-45
8y/8=-45/8
y=-45/8
if x is 5 x 15 and b is 11 x 189 what is b - x + 56?
please help it’s due in 2 days and idk how to do it
Answers
Answer:
2060
Step-by-step explanation:
x=5*15
b=11*189
-------------
x=75
b=2079
b-x+56=2079-75+56=2060
Answer:
i just want points
Step-by-step explanation:
The width of a rectangle is the sum of the length and 2. The area of the rectangle is 48 units. What is the width, in units, of the rectangle?
Answers
W=L+2
A=48=L*W
48=L*(L+2)
48=L^2+L*2
0=L^2+L*2-48
L1=6
L2=-8 (can't be used since it's negative)
Lenght=6
Width=8
To Start Off:
Level: Middle School
Subject: Mathematics
Lesson: Area Problems
To Set The Problem Up:
You set the problem up as A or 48 = L + 2 x L
To Find The Answer:
What are 2 factors that equal 48 that are Reasonable for this problem?
Maybe 6 and 8?
6 must be the length because the width is larger by +2.
To Solve/Work:
So L= 6 and L + 2 = W, 6 + 2= 8.
This means that Length equals 6 and Width equals 8.
Our 2 factors were correct!
Next, to find the area, we must multiply 6 and 8 to get A.
The Formula: L x W = A
So 6 x 8 = 48.
To Sum It Up:
Our final answer is 48 and it takes finding factors of the total, the area.
Most problems only give out 2/3 parts of our Formula. They want to trick you.
To put on the bow, we learned how to use the formula, which is L x W = A or A = L x W.
Calendar Events:
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And don’t forget to have fun in that frizzy snow.
Hope this helps and have a great evening everyone.
2 FUIILS
A clothing store sells T-shirts, t, for $8 a shirt, and shorts, s, for $12 each. The
store earned $180 revenue last month. The store sold three times as many T-
shirts as shorts. Which system of equations represents this scenario?
Answers
8t+12s=180 and t=3s is the system of equations that represents the given scenario.
Step-by-step explanation:
Given,
Cost of a t-shirt = $8
Cost of a shorts = $12
t-shirt = t
shorts = s
Revenue earned = $180
According to given statement;
8t+12s=180
The store sold three times as many T- shirts as shorts.
t = 3s
8t+12s=180 and t=3s is the system of equations that represents the given scenario.
Keywords: linear equation, revenue
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Answer: 8t+12s=180;t=3s APEX
The height of trapezoid VWXZ is 8 StartRoot 3 EndRoot units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX. Trapezoid V W X Z is shown. A line is drawn from point W to point Y on side Z X, forming a right angle. Angles W V Z and V Z Y are right angles. The length of V W is 10 and the length of W Y is 8 StartRoot 3 EndRoot. Angle YW X is 30 degrees, and angle W X Y is 60 degrees. Once you you know the length of YX, find the length of the lower base, ZX. 14 units 10 + 4 StartRoot 3 EndRoot units 18 units 10 + 8 StartRoot 3 EndRoot units
Answers
Answer:
18
Step-by-step explanation:
The lower base will 18units.
What is trapezoid?quadrilatral whose one opposite sides are parallel.
What is tangent of an angle?The tangent of an angle is the ratio between the opposite side of the angle and the adjacent side of the angle.
tanθ=opposite side/adjacent side
So according to asked question
in the trpezoid VWXZ,
VW || XZ
Height of trapezoid= VZ =WY=8√3
VW=10
∠YWX=30°
∠WXY=60°
In triangle ΔWYX,
∠WYX=90°
ΔWYX is a right angle triangle
so, tan∠YWX= XY/WY
⇒tan30°=XY/8√3
⇒1/√3=XY/8√3
⇒XY=8√3/√3
⇒XY=8 units
the length of the lower base ZX= ZY+XY = VW+XY = 10+8=18units
Therefore the lower base will 18units.
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Find the differential for P=0.2x^(2)-17x-10
Answers
The differential for P = 0.2x² -17x -10 is P' = 0.4x - 17
Step-by-step explanation:
Let us revise how to differentiate an equation with respect to x
If the equation is [tex]y = ax^{n}+b[/tex] , where a , b are constant
The differentiation of the term [tex]ax^{n}[/tex] is [tex]a(n)x^{(n-1)}[/tex] (multiply the coefficient of x by the power"n" and subtract 1 from the power)The differentiation of the term b is 0, because b is a constantThe differentiation of y is [tex]\frac{dy}{dx}=a(n)x^{(n-1)}+0=a(n)x^{(n-1)}[/tex]You can write [tex]\frac{dy}{dx}[/tex] as y'∵ P = 0.2x² - 17x - 10
- Let us differentiate each term
∵ The differentiation of 0.2x² is [tex]0.2(2)x^{2-1}=0.4x^{1}=0.4x[/tex]
∵ The differentiation of -17x is [tex]-17(1)x^{1-1}=-17x^{0}=-17(1)=-17[/tex]
∵ The differentiation of -10 is zero because the differentiation
of the numerical term is 0
∴ The differentiation of P is P' = 0.4x - 17
The differential for P = 0.2x² -17x -10 is P' = 0.4x - 17
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If 8 cases of merchandise cost 60$, what would a dozen cases cost?
Answers
60 divided by 8 - 7.5
7.5 x 12 - 90
Answer: $90
Step-by-step explanation: First, we can change "one dozen" to 12 since it represents the same value.
To find out how much 12 cases of merchandise will cost, we will need to find the unit price per case of merchandise.
Unit price means the cost per unit in this case, the cost per case of merchandise.
Since we know that it costs $60 for 8 cases of merchandise, to find the cost for 1 case of merchandise, we need to divide 8 into $60 or $60 ÷ 8.
60 ÷ 8 = 7.50
Now, we know that it costs $7.50 for 1 case of merchandise.
To find the cost for 12 cases of merchandise, we will multiply the cost for 1 case of merchandise by the number of cases of merchandise we have.
In this case, we will multiply 7.50 by 12 which gives us 90.
Therefore, a dozen cases of merchandise will cost $90.
A coin is tossed.
What is the probability of the coin landing heads up?
A. 1/2
B. 1/4
C. 1/6
D. 1/3
Answers
Answer: 1/2
Step-by-step explanation: In this problem, we're tossing a coin and we want to find the probability of tossing a heads.
Now, let's find the probability of tossing a heads.
Remember that a coin has two sides which are heads and tails. When you flip a coin, each side is as likely to come up as the other. This means that the probability of flipping heads is the fraction 1/2.
Since the probability of flipping a heads is 1/2, we can also say that the probability of flipping a heads is 50%.
Therefore, the probability of flipping a heads on a fair coin is 1/2.
Lisa runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answers
Answer:
6/55 = x/44
55x = 6(44)
55x = 264
x = 264/55 = 4.8 miles
hope this helps<3
Step-by-step explanation:
A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s height (y).
Y=-0.02x^2+0.8x+3
What will the height of the ball be at a distance of 10 feet?
A. 6
B. 7
C. 8
D. 9
Answers
Answer D). 9 ft is correct
Height of the ball at a horizontal distance of 10 feet is 9 ft
Step-by-step explanation:
A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s height (y).
Y(x) = [tex]-0.02x^{2} +0.8x+3[/tex]
Question asked is " What will be height (Y) of the ball when X=10 ft "
Simply putting value of X in given equation
we get,
Y(x) = [tex]-0.02x^{2} +0.8x+3[/tex]
Y(x) = [tex]-0.02(10)^{2} +0.8(10)+3[/tex]
Y(x) = [tex]-0.02(100)} +8+3[/tex]
Y(x) = [tex]-2 +8+3[/tex]
Y(x) = [tex]9[/tex]
Therefore, Height of the ball at a horizontal distance of 10 feet is 9 ft
Answer D. 9 ft is correct
The height of the ball at a distance of 10 feet according to the given equation is 9 feet (option D). This was achieved by substituting the value of 10 into the equation.
Explanation:To find the height of the ball at a distance of 10 feet, you need to substitute the value for the horizontal distance (x) in the given equation. The equation modeling the ball's height is: Y=-0.02x^2+0.8x+3. So, we replace x with 10 in this equation, as follows:
Y=-0.02(10)^2+0.8(10)+3 Y=-0.02(100)+8+3 Y=-2+8+3 Y=9
Therefore, the height of the ball at a distance of 10 feet is 9 feet, so option D is correct.
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what grade is a 259 out of 360 plz help
Answers
Answer:
Convert fraction (ratio) 259 / 300 Answer:86.3%
there are 31 days in the month of may. what fraction of the month does 10 days represent
Answers
Answer:
10/31
Step-by-step explanation:
I'm pretty certain this is the answer, since 10/31 cannot be simplified any further; 31 being the total days in the month of May
A 10 days represent a fraction of approximately 0.3226 (rounded to four decimal places) of the month of May.
To find the fraction of the month that 10 days represent, we can divide the number of days represented by 10 by the total number of days in the month, which is 31.
Fraction = (Number of days represented) / (Total number of days in the month)
Fraction = 10 / 31
Therefore, 10 days represent a fraction of approximately 0.3226 (rounded to four decimal places) of the month of May.
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in a recent study, 55% of the cars tested failed the safety test. If 231 cars failed the safety test, how many cars were tested
Answers
Answer:
420 cars were tested
Step-by-step explanation:
55/100=231/x
55x= 23100
x=420
Final answer:
The total number of cars tested can be calculated by dividing the number of cars that failed (231) by the percentage that failed (55%), resulting in 420 cars tested.
Explanation:
The question asks about the total number of cars tested based on the percentage that failed the safety test. To find the total, we can set up a proportion: if 55% of cars, or 0.55 of the total, failed the safety test and that number is 231, we can represent the total number of cars tested as 'X'. Using the proportion 0.55 = 231/X, we can solve for X, which represents the total number of cars tested.
Step by step, we can start by multiplying both sides of the equation by X to get 0.55X = 231, then we divide both sides by 0.55 to isolate X and find the total:
X = 231 / 0.55
X = 420
Therefore, 420 cars were tested.
For f(x) = 7
, substitute 3 for x in the function to solve for f(3)
Answers
Answer:
f(3)=7
Step-by-step explanation:
f(x)=7
f(3)=7
45.6379 rounded to the nearest hundread
Answers
Answer:
45.64
Step-by-step explanation:
thats the answer
To round 45.6379 to the nearest hundred, we increase the digit in the tenths place by 1 and change all the numbers to the right of it to zeros.
Explanation:To round 45.6379 to the nearest hundred, we look at the digit in the hundredth place, which is 5. Since 5 is greater than or equal to 5, we round up. Therefore, we increase the digit in the tenths place by 1 and change all the numbers to the right of it to zeros. The rounded number to the nearest hundred is 45.6400.
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What is the equation of the line that has a slope of -4 and goes through (-1,6)?
A. y + 6 = -4(x + 1)
B.
y + 6 = -4(x - 1)
C.
D.
y-6 = -4(x + 1)
y - 6 = -4(x - 1)
Answers
Answer:
y-6=-4(x+1)
Step-by-step explanation:
y-y1=m(x-x1)
Where m=slope and (x1, y1) is a point on the line.
m=-4
y-6=-4(x-(-1))
y-6=-4(x+1)
Answer:
y-6=-4(x+1)
Step-by-step explanation:
Plato
A Pizzeria sells pizza according to size: small pizzas cost $10, medium pizzas cost $15, and large pizzas cost $40. They usually sell as many small pizzas as medium and large pizzas combined. The number of medium pizzas sold is usually twice as many as large ones. How many of each size pizza must they sell to get $600?
Answers
They must sell 18 small pizzas, 12 medium pizzas and 6 large pizzas
Step-by-step explanation:
A Pizzeria sells pizza according to size:
Small pizzas cost $10, medium pizzas cost $15, and large pizzas cost $40They usually sell as many small pizzas as medium and large pizzas combinedThe number of medium pizzas sold is usually twice as many as large onesWe need to find how many of each size pizza they must sell to get $600
Assume that the number of small pizza is x, the number of medium pizza is y and the number of large pizza is z
∵ The Pizzeria sells x small pizzas, y medium pizzas and
z large pizzas
∵ The small pizzas cost $10, medium pizzas cost $15, and
large pizzas cost $40
∵ They get $600
∴ 10x + 15y + 40z = 600 ⇒ (1)
∵ They sell as many small pizzas as medium and large pizzas
combined
∴ x = y + z ⇒ (2)
∵ The number of medium pizzas sold is twice as many as large ones
∴ y = 2z ⇒ (3)
Substitute equation (3) in equation (2) to find x in terms of z only
∵ x = (2z) + z
∴ x = 3z ⇒ (4)
Substitute x in equation (1) by equation (4), and substitute y in equation (1) by equation (3)
∵ 10(3z) + 15(2z) + 40z = 600
- Simplify the left hand side
∴ 30z + 30z + 40z = 600
- Add like terms
∴ 100z = 600
- Divide both sides by 100
∴ z = 6
Substitute the value of z in equations (3) and (4) to find y and x
∵ y = 2(6)
∴ y = 12
∵ x = 3(6)
∴ x = 18
They must sell 18 small pizzas, 12 medium pizzas and 6 large pizzas
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our class voted for treasurer.there are 20 students.after voting billy received 3 times more votes then keeton.how many votes did billy receive?
Answers
Answer:
Votes received by Billy =15
Step-by-step explanation:
Given:
Total students in the class = 20
Billy receives 3 times more vote than Keeton.
To find the number of votes Billy receives.
Solution:
Let number of votes Keeton gets [tex]=x[/tex]
∴ Billy received [tex]=3x[/tex] votes
Expression for total votes can be given by ⇒ [tex]x+3x[/tex]
Total votes =20 as number of students is 20.
So, the equation to find [tex]x[/tex] is:
[tex]x+3x=20[/tex]
Solving for [tex]x[/tex]
⇒ [tex]4x=20[/tex]
Dividing both sides by 4.
[tex]\frac{4x}{4}=\frac{20}{4}[/tex]
∴ [tex]x=5[/tex]
∴ Votes received by Keeton = 5
Votes received by Billy = [tex]3\times 5[/tex] = 15
A rectangle is 19 feet long and 42 feet wide. What is the area of the rectangle, in square yards? Express your answer as a mixed number in lowest terms.
Answers
Answer:
[tex]86\frac{2}{3}[/tex] yards²
Step-by-step explanation:
19 feet = [tex]\frac{19}{3}[/tex] yards
42 feet = 14 yards
14 × [tex]\frac{19}{3}[/tex] = [tex]\frac{266}{3}[/tex] = [tex]86\frac{2}{3}[/tex]
210000000 in standard form
Answers
Answer:
2.1 x 10^8
Step-by-step explanation:
2.1*10^8
The first number can not exceed ten so just count how many decimal place it would be and that should be the power.
What is the value of x in the equation? 5 1 10 x − 6 4 5 = 3 1 4 A) 1 1 9 B) 1 1 5 C) 1 3 20 D) 1 33 34
Answers
The value of x in the equation is 11/15.
Explanation:To find the value of x in the equation 5 1 10 x - 6 4 5 = 3 1 4, we need to isolate x on one side of the equation. Here's how you can solve it:
Step 1: Add 645 to both sides of the equation.
Step 2: Subtract 314 from both sides of the equation.
Step 3: Simplify the equation.
Step 4: Divide both sides of the equation by 510.
Step 5: Simplify the fraction.
Therefore, the value of x in the equation is 11/15, which is option B) 11/15.
(03.01) Factor completely x2 − 12x + 35. (1 point)
Answers
Answer:
(x - 5)(x - 7)
Step-by-step explanation:
Given
x² - 12x + 35
Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)
The factors are - 5 and - 7, since
- 5 × - 7 = 35 and - 5 - 7 = - 12, thus
x² - 12x + 35 = (x - 5)(x - 7) ← in factored form
Marlo pays $750 rent each
month. Bea's rent is 12%
higher. What is the ratio of
Marlo's rent to Bea's rent?
Answers
Answer:
750:90
Step-by-step explanation:
12% of 750 is 90
Find the slope intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10
Answers
Answer:
y=4x+23
Step-by-step explanation:
The slope-intercept form of the equation of the line that passes through (-5,3) and is parallel to 12x-3y=10 is y = 4x + 23.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Slope-intercept form:
y = mx + b, where m is the slope and b is the y-intercept.
And we have the given equation:
12x - 3y = 10
Arranging the equation as slope-intercept form.
3y = 12x - 10
Divide by 3,
y = 4x - 10/3.
And this line is parallel to the required line.
So, the slope of the required line;
m = 4
Hence, the slope-intercept form,
y = 4x+b equation 1
To find y-intercept:
We substitute the value of x and y from the point (-5,3) to the slope-intercept form,
y = 4x + b
(3) = 4(-5) + b
b = 20 +3
b = 23
Now, the equation 1
y = 4x + 23
Therefore, y = 4x + 23 is the required slope-intercept form.
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The circumference of a circle is 35 pi. What is the diameter?
Answers
Answer:
Diameter is 11.14
Step-by-step explanation:
c=dπ
so... 35=dπ
solve for d:
35/π=d
11.14=d
Answer:
11.14
Step-by-step explanation:
/calculators/circumference-calculator/
The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that just arrived. The book shelf was bought at a wholesale price of $147.00 and Gabriela's Furniture Store marks up all furniture by 60 percent.
At what price should the manager sell the book shelf?
Answers
The manager should sale the bookshelf for $235.20
Step-by-step explanation:
Wholesale price of book shelf = $147.00
Mark up = 60% of original price
[tex]Mark\ up=\frac{60}{100}*147.00\\\\ Mark\ up=\frac{8820}{100}\\Mark\ up=\$88.20[/tex]
Total = Wholesale price + Mark up
[tex]Total= 147.00+88.20\\Total=\$235.20[/tex]
The manager should sale the bookshelf for $235.20
Keywords: mark up, percentage
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Which are solutions of the equation (x+5)(x - 3) = 0? Check all that apply.
x= -15
x=-5
X=-3
x= 2
x=3
x=5
ای
Answers
Answer:
x=-5, 3
Step-by-step explanation:
(x+5)(x-3)=0
Apply the zero property,
set x+5=0 and x-3=0.
x=0-5=-5
x=0+3=3
x=-5, 3
Answer:
b&e
Step-by-step explanation:
The volume of one cube is 1/216 times the volume of the second cube. How many more times
is the length measurement of the second cube?
A 21 times
B 16 times
C 6 times
D 4 times
Answers
Answer:
c 6 times that the answer
Final answer:
The second cube's side length is 6 times that of the first cube because the volume of a cube is a cubic function of its side length, and taking the cube root of 1/216 gives us 1/6.
Explanation:
The student's question is asking to determine how many times larger the side length of the second cube is compared to the first cube, given that the volume of the first cube is 1⁄216 times the volume of the second cube. The volume of a cube is calculated by raising the side length to the third power (V = s3). Therefore, if we denote the side length of the first cube as s and that of the second cube as S, we have s3 = 1⁄216S3. To find the side length ratio, we take the cube root on both sides of the equation, yielding s = 1⁄6S, which means the second cube's side length is 6 times that of the first cube.
The correct answer to the question is C, 6 times
Which is the Graph of 4x + 2y < 3 ?
Answers
Answer:
2nd graph on edge 2020
Step-by-step explanation:
the line will cross the y-axis at y = 1.5 and the line will be a broken line
Inequality graphs
The inequality functions are not separated by an equal sign.
For the inequality 4x + 2y < 3, the lower portion of the graph will be shaded
Determine the y-intercept. If x = 0
4(0) + 2y < 3
2y < 3
y < 1.5
This shows that the line will cross the y-axis at y = 1.5 and the line will be a broken line as shown:
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