Answer:
14
Step-by-step explanation:
Just add both the numbers as positive to get total length since one is negative
5.3+8.7=14
Answer:
The length of the segment is 14.
Step-by-step explanation:
8.7 - (-5.3) = 14.
An easier way to do this is just by counting backwards kinda on the number line.
A manufacturing plant is capable of producing 10 tons of product per day when it runs three shifts with no breakdowns and plenty of raw materials. Over the past week, the plant has produced an average of 7.3 tons per day because the third shift has devoted much of their time to preventive maintenance. What is the utilization of the plant?
Answer: 73%
Step-by-step explanation:
The plant is capable of producing 10 tons of product in one day.
Currently however, it is only able to produce 7.3 tons per day.
Utilization is therefore:
= Actual production/ Potential production * 100
= 7.3/10 * 100
= 73%
Express y = 3x + 10 using function notation.
Answer: f(x) = 3x + 10
Step-by-step explanation: Function notation uses the terms "f(x)." It's the same thing as y.
This is is the correct function notation:
g(x)=3x+10
Hope that helps!!!
You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for TOTAL DEDUCTIONS for this pay period was $
Blank.
Answer:
18.135
Step-by-step explanation:
30*9.75=292.5
6.2%*292.5=18.135
Solve this equation. Please show work.
log(4m-10)=1
Answer:
m=5
Step-by-step explanation:
1. Convert the logarithm into exponential form using the fact that [tex]log_{a}[/tex](x)=b is equal to x=[tex]a^{b}[/tex] so ... 4m-10=[tex]10^{1}[/tex]
2. Any expression raised to the power of 1 equals itself so ... 4m-10=10
3. Move the constant to the right-hand side and change its sign so ... 4m=10+10
4. Add the numbers so ... 4m=20
5. Divide both sides of the equation by 4 so ... m=5, m>[tex]\frac{5}{2}[/tex]
6. Check if the solution is in the defined range so ... m=5
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)
Answer:
the second one
Step-by-step explanation:
The answer?
A-(5,-3)
B-(2,0)
C-(8,0)
D-(-3,5)
answer the following table:)
What is the minimum value of the function g (2) = x2 - 6x – 12?
-21
3+ V21
3
3-21
Answer:
g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12? g (2) = x2 - 6x – 12?
Step-by-step explanation:
Answer:
minimum value is -21; ordered pair of min value is (3, -21)
Step-by-step explanation:
graph the function and find the lowest point on the curve
The ratio of almond pieces to
cranberry pieces in a salad is 3 to 4.
If there is a total of 28 pieces in
salad, how many are almond pieces
and how many are cranberry
pieces?
37 dimes, 23 quarters.
Answer: 12 almond pieces and 16 cranberry pieces
Step-by-step explanation:
The students in the music club sold tickets to their spring concert. The table shows the
amount of money raised and the number of tickets sold by each of four students.
What is the constant of proportionality for the sales?
Answer:
Step-by-step explanation:
You divide the tickets sold and money raised and your supposed to get 5 on all of them . Answer : 5
The constant of proportionality for the sales is 1/5. Therefore, option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
The given table shows the amount of money raised and the number of tickets sold by each of four students.
The constant of proportionality for the sales is
Fawn: 15/85 =1/5
Ryan: 13/65 =1/5
Daisy: 9/45 =1/5
Doug: 6/30 =1/5
Therefore, option D is the correct answer.
To learn more about the proportional relationship visit:
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The difference of two numbers is 3, and the sum of three times the larger one and twice the smaller one is 19. Find the two numbers.
Answer:
small number = 28/5 or 5 3/5
larger number = 13/5 or 2 3/5
Step-by-step explanation:
x = small number
y = large number
set up a system of equations:
x - y = 3
3y + 2x = 19
using substitution method:
let x = 3 + y
3y + 2(3 + y) = 19
3y + 6 + 2y = 19
5y + 6 = 19
5y = 13
y = 13/5
solve for x:
x - 13/5 = 3
x = 15/5 + 13/5
x = 28/5
Question 4
10 pts
Question 6
Question 7
Question 8
What is the length of line segment DK to the nearest tenth of an inch?
Time Running Hide
1 Hour, 26 Minutes, 25 Sec
16 in
430
D
O 10.9 in
0 21.9 in
O 23.5 in.
O 11.7 in.
« Previous
Next
Answer:
C = 23.5 in
Step-by-step explanation:
θ = 43°
The length of the side opposite to θ = 16 in.
Hypotenuse = DK
Apply trigonometric ratio, thus:
sin(θ) = opp/hyp
Plug in the values
sin 43 = 16/DK
Multiply both sides by DK
DK*sin 43 = 16
Divide both sides by sin 43
DK = 16/sin 43
DK = 23.5 (nearest tenth of an inch)
Find the value of each variable
Step-by-step explanation:
[tex]x = y \\ 2 \sqrt{14} = x \sqrt{2} [/tex]
[tex]x = 2 \sqrt{7} [/tex]
[tex]x = y = 2 \sqrt{7} [/tex]
write the ratio
14:56
in it's simplest form
Some one please help me !!!
Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
Dana's car averages 28 miles per gallon of gas, and it currently contains 1 gallon of gas. If
Dana adds $10.00 worth of gas, sold for $2.50 per gallon, how many miles can he expect to
drive before running out of gas?
Answer:
140 miles
Step-by-step explanation:
10/2.5=44 gallons + 1 gallon= 5 gallons28 miles per gallon28*5 or 28+28+28+28+28=140
giving out brainlist and extra points ♥️
Answer:
Pretttyyy sureeee
Y=-1/4x+5
Y=3x-8
Step-by-step explanation:
For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.
Answer:
Two negatives
Step-by-step explanation:
I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!
For each point Identity where the point is located
HELP THIS IS LEGIT OVERDUE BY TWO HOURS
Answer:
3, 1, 2, 4, 5, 6
Step-by-step explanation:
i gave it to you in order from top to bottom
IF U ANSWER THIS CORRECTLY I WILL MARK U BRAINLIEST AND GIVE YOU 20 NOTIFICATIONS!!!!! (the good notifications)
Moussa is preheating his oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 6 minutes after being turned on? What is the temperature of the oven t minutes after being turned on?
Answer:
After 6 minutes the temperature would be 190 degrees.
Step-by-step explanation:
6 x 20 = 120 + 70 = 190.
Answer:
(Answer Below)
Step-by-step explanation:
Brainliest are appreciated. I don't want 20 notifications. I prefer if you buy me a biteable account. Costs $19.
help woth this please
Hey again!
The answer to your question is 3.8
We can do 1.9 x 2 = 3.8
Hope it helps! Let me know if you need more help.
Jack used 40 balloons to decorate a room for a party. Of the balloons he used, 15% were red balloons.
How many red balloons did Jack use?
What is the missing angle. Find x
Answer:
20 20202020020200220020200
Step-by-step explanation:
Help asap ...................
Answer:
One: Median = 2
Two: Mean = 3.25
Step-by-step explanation:
One
Put the dots in order
1 1 1 2 2 3 3
There are seven groups altogether.
The middle one is a 2.
The median is 2.
Two
The mean is the average.
The average of the 4 groups is
1 3 6 3 = 13
The average is the sum of the dots.
13/4 = 3.25
Does anyone the the answer for this ?:)
Answer:
69.08
Step-by-step explanation:
C=2πr
Brainly plss
someone please help me this is really confusing
Answer:
Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Step-by-step explanation:
Image 1:
We need to Find area of trapezoid.
The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]
where h is height and b₁ and b₂ are parallel sides.
Looking at the figure we get:
h = 2xy
b₁ = 4x²y
b₂ = 7x²y
Putting values and finding area:
[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]
So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]
Image 2:
We need to find area and perimeter of triangle.
First we will find area of triangle.
The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height
Looking at the figure,
b = 3ab
h = 4a²b
Finding area:
[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]
So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]
Now, finding Perimeter of triangle
The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]
Looking at figure:
Length of side 1 = 3ab
Length of side 2 = 4a²b
Length of side 3 = 10a²b
Finding Perimeter
[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]
So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]
Sally rides her bike 164.45 miles in two weeks. She averaged 12.65 miles per hour each time she rode. How many hours did it take her to ride 164.45 miles?
Answer: It took 13 hours by her to ride 164.45 miles.
Step-by-step explanation:
Total distance = 164.45 miles
Average distance traveled = 12.65 miles per hour (speed)
[tex]Time = \dfrac{Distance}{Speed}[/tex]
[tex]Time = \dfrac{164.45}{12.65}=\dfrac{16445}{1265}\\\\=13\text{ hours}[/tex]
Hence, it took 13 hours by her to ride 164.45 miles.
Determine an equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the
point (-2, 6)
Step-by-step explanation:
find 3x + 12y = 1 in terms of y
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x1=-2 and y1=6 and m=4
so using the equation
(y-y1) = m(x-x1)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.
What is the slope-intercept form of a line?When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.
Given an equation of line 3x + 12y = 1
so y = -3/12 z + 1/3
y = -1/4 x + 1/3
gradient of the line(m) = -1/4
gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4
(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)
for this line x₁=-2 and y₁=6 and m=4
so using the equation
(y-y₁) = m(x-x₁)
y-6 = 4(x-(-2)
y-6 = 4(x+2)
y-6 = 4x + 8
y = 4x + 14
Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14
Learn more about slope intercept form here:
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How do you calculate pi? answer quick and u will get brainiest
Answer:
Make sure you are using a perfect circle.
Measure the circumference of a circle as accurately as you can.
Measure the diameter of the circle.
Use the formula.
For more accurate results, repeat this process with several different circles, and then average the results.
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
You calculate anything times 3.14
Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period. If Kelly sold 15 less tickets than Shelby over the last 3 years, how many did Kelly sell each year on average?
Answer: 20 tickets
Step-by-step explanation:
From the question, we are informed that Shelby sold 75 raffle tickets for the school fundraiser over a 3-year period while Kelly sold 15 less tickets than Shelby. This means that the number of tickets sold by Kelly is:
= 75 - 15
= 60 tickets
The number of tickets sold by Kelly each year on average will be:
= Number of tickets sold / Number of years.
= 60/3.
= 20 tickets
over the last 3 years
Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d