Answer:
2y=-2x
Step-by-step explanation:
2y=4-6x
2y=-2x
y=-1
The temperature on a thermostat is set to 72∘F, but the actual temperature can vary by as much as 2∘F. Let x represent the actual temperature to create an absolute value inequality to determine the range of possible-actual temperatures.
Any help is much appreciated :)
Using an absolute value inequality, it is found that the range of temperatures is between 70ºF and 74ºF.
---------------
The absolute value function measures the distance of a point to the origin, and is defined by:[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
---------------
The actual temperature is x, on a thermostat set to 72ºF. It can vary by as much as 2ºF, which means that the absolute value of the difference between x and 72 is at most 2, that is:[tex]|x - 72| \leq 2[/tex]
Solving the inequality:
The term is both greater or equal to -2 and at most 2, thus:[tex]x - 72 \geq >= -2[/tex]
[tex]x \geq 70[/tex]
And
[tex]x - 72 \leq 2[/tex]
[tex]x \leq 74[/tex]
Thus, the range of temperatures is between 70ºF and 74ºF.
A similar problem is given at https://brainly.com/question/24514895
help
dhgdfdfyfyfgfgfjfgfghfhgfdhgdfh
Answer:
5=26
14=17
n=1
31n=31*1=31
Which measure of center best represents the data?
8,8,7,8,8,8,1,8,8
Answer:
8
Step-by-step explanation:
The median is 8 since 8 is the most common number
Pls help me I don’t understand this!!!!
Answer: D
Step-by-step explanation:
D The angle agacent to arc ML is half the degree. Your answer is 118
Answer:
D
Step-by-step explanation:
angle J is a circumference angle that insists on arc ML. the measure the angle of this arc is double of it
59 * 2 = 118 degrees
A researcher selects a sample of participants to test for differences in employment rates among part-time and full-time teachers. Because there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job sector. Which type of quota sampling was used in this example
Answer: proportionate
Step-by-step explanation:
Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.
Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.
If I had 2 500 apples and sold 200 how much apples would I have left
Answer:
2300 apples
Step-by-step explanation:
2500 - 200 = 2300
Answer:
2300
Step-by-step explanation:
2500 - 200 = 2300
Note: "have left" means the answer after subtraction.
Measurement and Geometry
11. What would the total interior angles be for a 21 sided shape?
Answer:
sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°
Step-by-step explanation:
Answer: 3420 degrees
Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.
What is the original price of an item cost if the tax is 9.25% and the discount is 25% and the new price after discount and tax is $62.28?
Answer: $ 91.50.
Step-by-step explanation:
Let x be the original price.
Since discount is applied before tax.
New price = (Original price - Discount)-Tax rate (Original price - Discount)
, where Discount = Discount rate x Original price.
Substituting values, we get
[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]
[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]
[tex]62.28=0.75x-0.069375x[/tex]
[tex]62.28=0.680625x[/tex]
[tex]x=\frac{62.28}{0.680625}[/tex]
[tex]x=91.50[/tex]
Hence, the original price was $ 91.50.
At what rate, in minutes per lap, does this swimmer swim?
Answer:
1.6
Step-by-step explanation:
all u gotta do is divide 6.4 by 4:)
hope that helps!<3
what is 0.00051 convert in standard form
The answer is:
5.1 x [tex]10^-4[/tex]
Doug started his math homework at 7:55 P.M. He finished all the problems at 8:15 P.M. How long did Doug spend doing his math homework?
Answer:
20 minutes
Step-by-step explanation:
If you add 20 minutes to 7:55 P.M., it becomes 8:15 P.M.
Answer:
20 minutos
Step-by-step explanation:
De 7:55 pm hasta las 8: pasaron 5 minutos, luego de 8:00 a 8:15 pm pasaron 15 minutos.
Así que sería 5 + 15 = 20 minutos
On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.
======================================================
Explanation:
h = number of hours past 7 pm
20h = the number of glasses sold after h hours
20h+180 = adding on the 180 glasses already sold
20h+180 > 240 is the inequality to set up
Let's solve for h
------------------
20h+180 > 240
20h > 240-180
20h > 60
h > 60/20
h > 3
They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.
The earliest that they can close is 11 pm (since 4+7 = 11).
--------------------
If h = 3, then
20h+180 = 20*3 + 180 = 240
meaning that they haven't reached their goal of getting over 240
So they have to stay open that extra hour to get past 240.
Mrs. Law’s seventh grade class volunteers for two days at an animal shelter. Each day, 30% of students will be assigned to help groom animals, 50% will be assigned to walk animals, and 20% will be assigned to clean the kennels. Michaela designs a simulation to determine how likely it is that she will be assigned to walk animals both days. She assigns digits as follows:• 0, 1, 2 5 Grooming• 3, 4, 5, 6, 7 5 Walking• 8, 9 5 Cleaning Then she generates the following sets of random numbers for her simulation. 2, 9 5, 2 3, 9 0, 1 8, 3 0, 5 0, 5 8, 3 6, 8 4, 7 7, 4 1, 5 Based on the results of the simulation, what is the probability that Michaela will walk animals on: a. both days? b. one day only? c. at least one day?
Based on the results of the simulation, the probability that Michaela will walk animals on:
a. both days = 1/6
b. one day only = 2/3
c. at least one day = 5/6
What is probability?Probability is simply how likely something is to happen.
Grooming = 0, 1, 2
Walking = 3, 4, 5, 6, 7
Cleaning = 8, 9
Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.
(2,9) - zero days
(5,2) - one day
(3,9) - one day
(0,1) - zero days
(8,3) -one day
(0,5) - one day
(8,3) - one day
(6,8) - one day
(4,7) - two days
(7,4) - two days
(1,5) - one day
Probability that Michaela will walk animals both days = [tex]\frac{2}{12} = \frac{1}{6}[/tex]
Probability that Michaela will walk animals one day only = [tex]\frac{8}{12} = \frac{2}{3}[/tex]
Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only = [tex]\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
Learn more about probability here
https://brainly.com/question/11234923
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If f(x) = 5x² – 2x + 7 and g(x) = -2x2 +6x + 3
then f (x)-g(x) =
Answer:
7x² - 8x + 4
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
The Titanus beetle can measure 16710 centimeters in length, and the Giant Weta beetle can measure 8510 centimeters in length. How much longer is the Titanus than the Giant Weta?
Answer:
The answer you're looking for is 8,200cm
Step-by-step explanation:
Sarah uses 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries does she need to make one cup of jam
Answer:
1/12
Step-by-step explanation:
i belive this is the answer
(PLEASE HELP 30 POINTS)
Select all the correct answers.
Liam owns some rectangular plots of land. All of the plots are the same length, x, and the width of each plot is 5 yards less than the length. The
total number of plots Liam owns is 20 more than the length of a plot. If the total area of all the plots Liam owns is 2,688 square yards, which
statements about the length of each plot are true?
The equation x3 - 15x2 - 100x - 2,688 0 can be used to find the length of each plot.
The equation x3 + 25x2 + 100% -2,688 = 0 can be used to find the length of each plot.
o o o o o
The equation x3 + 15x2 - 100x - 2,688 = 0 can be used to find the length of each plot.
The length of each plot is 12 yards.
The length of each plot is 8 yards.
Answer:
We have to:
"All of the plots are the same length, x"
L = x
"and the width of each plot is 5 yards less than the length"
W = x-5
"The total number of plots Liam owns is 20 more than the length of a plot"
20 + x
"the total area of all the plots Liam owns is 2,688 square yards"
A = (20 + x) * (x) * (x-5)
A = (20x - 100 + x ^ 2 -5x) * (x)
A = (x ^ 2 + 15x - 100) * (x)
2688 = (x ^ 3 + 15x ^ 2 - 100x)
x ^ 3 + 15x ^ 2 - 100x = 2688
x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
Answer:
*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.
Answer:x^3+15x^2-100x-2,688=0
Step-by-step explanation:
the slope of the line
Answer: -2
Explanation: On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]
Simplified that is -2 which is the slope of the line
Hi! can someone help?
Answer:
129
Step-by-step explanation:
[tex]\frac{5^{4} }{5} +4[/tex]
[tex]\frac{625 }{5} +4[/tex]
[tex]125 +4[/tex]
129
Five athletes are in a 100k race. How many different ways can they finish based on their order?
Answer:
120 different ways
Step-by-step explanation:
The first person can be 5 different ways
Now there are 4 people left
The second person can be 4 different ways
And so on
5*4*3*2*1
120 different ways
what solutions to the following quadratic
3x^2 +15x-18=0
Answer:
x=-6 and x=1
Step-by-step explanation:
Given that:
[tex]3x^2+15x-18[/tex]
Now,
[tex]3x^2+15x-18=0\\[/tex]
Using the quadratic formula where a=3, b=15, and C=-18
x=-b±[tex]\sqrt{b^2-4ac} /2a[/tex]
x=-15±[tex]{\sqrt{15^2-4(3)(-18} } /2(3)[/tex]
x=-15±[tex]\sqrt{441} /6[/tex]
the discriminant [tex]b^2-4ac>0[/tex]
So, there are two real roots
x=-15±21/6
[tex]x=\frac{6}{6} \\x=1\\x=\frac{-36}{6} \\x=-6[/tex]
Therefore, x=-6 and x=1
Solve for ABE
(It’s for geometry)
Answer:
<ABE = 109
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(sum of Intercepted Arcs)
< ABE = 1/2 ( 38+180)
< ABE = 1/2 (218)
<ABE = 109
Answer:
Formula: Half the sum of the two arcs. So, this would be the equation:
[tex]\frac{1}{2}[/tex][tex](38[/tex]+[tex]180[/tex])
Solve:
218 / 2 = 109
Answer: 109
help ASAP ! it’s due soon
option
(c) is correct
Step-by-step explanation:
jsjsjd
The graphs of four quadratic equations are shown. Identify the number of real solutions of each equation by
dragging descriptions to each graph.
Answer:
1. 2 real solutions
2. no real solutions
3. 2 real solutions
4. 1 real solution
Step-by-step explanation:
The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.
simpifly fully, does anyone know the answer.
Answer:
Step-by-step explanation:
Note : In multiplication if the bases are same u can add their exponent while in division if the bases are same u can subtract their exponent.
Hope this helps u !!
can someone please help
Answer:
Concurrent as my perception
Draw the graph of y = 2x + 1
Hoped that I helped you :)
Answer:
Step-by-step explanation:
A hiker is standing 40 feet away from a tree that is 50 feet tall.
What is the angle of elevation from the hikers foot to the top of the tree??
HELP ME PLEASE ITS URGENT
Answer:
87.9°
Step-by-step explanation:
arctan(50/40)=87.9°
Can predictions be made of a scatterplot that shows no association? Explain your answer.
Answer:
There is no relationship between the variables.
There is no pattern between the variables.
No reliable predictions are possible.
Step-by-step explanation:
this is the exact answer on edge 2021
Answer:
No, because no association means there is no relationship between the variables. So there is no pattern that results in reliable predictions.
Step-by-step explanation:
its the sample response
pleaseeeee helppp meee!!!
Answer: 32x-48 should be your answer
Step-by-step explanation:
Answer:
32x - 48Step-by-step explanation:
-4(-8x + 12)
= -4 × (-8x) + (-4) × 12
= 32x + (-48)
= 32x - 48 (Ans)
