Answer:
-8 or 8
Step-by-step explanation:
We are given the absolute equation:
[tex]\displaystyle \large{4|x|=32}[/tex]
First, divide both sides by 4 which leaves [tex]\displaystyle \large{|x|=8}[/tex]
Absolute Value Definition
[tex]\displaystyle \large{|x|=\begin{cases} x \ \ \ (x\geq 0)\\ -x \ \ \ (x<0) \end{cases}}[/tex]
So from |x| = 8, break into two intervals/conditions.
(1) when x ≥ 0
x = 8
(2) when x < 0
-x = 8
x = -8
From (1) and (2), the solution to 4|x| = 32 is 8 or -8
The half life of a radioactive substance is 10 years. If 64 grams are placed in a
container, how much will remain after 50 years?
Answer:
2 grams
Step-by-step explanation:
50 years is 5 half lives as 1 half life is 10 years.
64 divide 2 = 32-1 half life
32 divide 2 =16-2nd half life
16 divide 2 = 8-3rd half life
8 divide 2 = 4-4th half life
4 divide 2 = 2-5th half life
This means we will have 2 grams left of the radioactive substance after 50 years.
G and F are supplementary angles. If F is fifteen less then four times the measure of G find the measure of both angles
Answer:
G=39, F=141
Step-by-step explanation:
Let us set up equations, with G and F as variables.
Since G and F are supplementary, they must add up to 180.
G+F=180
Given the equation, we can set it up too
F = 4 * G - 15
Here, we can solve for this equation by plugging the second equation into the first one with substitution
G+4*G-15=180
simplify and solve
5G=195
G=39
Plug this into the first equation to solve for F:
39+F=180
F=141
We can plug both answers into the second equation to check and find that we are indeed right.
Casey makes a grape salad using green grapes and red
grapes. She adds 5 green grapes for every 3 red
grapes. What is the ratio of all grapes to green grapes in the
grape salad?
Answer:
the answer is 8:5
Step-by-step explanation:
(34.23 x 2.3) + 432.15
Answer:
The answer is 510.879
Step-by-step explanation:
Multiply parentheses first:
34.23×2.3=78.729
Add to 432.15
=510.879
Plzzzz help meeeeee plzzzzz
Answer:
i need points sorry
Step-by-step explanation:
What is the equation of the line that passes through the point (-4,6) and has an undefined slope?
orignal price on a comb 0.99 discount 55%
Answer:
I think 5.45? Sorry, not the best at math
Step-by-step explanation:
if you get a 55% discount off of 0.99 cents you pay 0.45 $
you're saving 0.54 $
Use the figure to find the measure of
Answer:
m∠URV = 124°
Step-by-step explanation:
hope this helps
Answer:
what is the work to figure out the anwser?
Step-by-step explanation:
A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory
200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:
250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000
Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.
Learn more about maths in https://brainly.com/question/25865591
Ivan is taking a 179 mile trip by car.If he drives for two hours with an average speed of 65 miles per hour, how many miles will he still need to drive to complete his trip?
Answer:
you should take notes
Step-by-step explanation:
why you should know this your teacher probally already taught you this already you should go back and take notes = )
What is the greatest common factor of 8, 28, and 48?
[tex] \: \: \: \: \: \: \: [/tex]
the GCF of 28,48 are GCF OF 281 , 2, 4, 7, 14, 28GCF OF 48
1 , 2, 3, 4, 6, 8, 12, 16, 24, 48 hope it helpsThe greatest common factor of 8, 28, and 48 is 4.
Greatest Common FactorThe largest common factor out of all the numbers in the given set is known as Greatest Common Factor.
How to evaluate Greatest Common Factor?Factors of 8, [tex]8=2\times 2\times 2[/tex]
Factors of 28, [tex]28=2\times 2\times 7[/tex]
Factors of 48, [tex]48=2\times 2\times 2\times 2\times 3[/tex]
The common factors in the above set of numbers are 2and 2.
So, the Greatest Common Factor of 8, 28, and 48 is [tex]2\times 2=4[/tex].
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What sentence represents this equation? 4 1/3=11−x
Answer:
4 1/3 is the same as 11 decreased by a number.
Step-by-step explanation:
What is the experimental probability of spinning the given result? Round your answer to the nearest hundredth if necessary.
Outcome
A
B
C
D
Frequency
20
11
14
30
C
a.
0.14
c.
0.81
b.
1
d.
0.19
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Number of times the spinner spun = 75
Outcomes Frequency
A 20
B 11
C 14
D 30
We need to find the experimental probability of spinning an "A" :
so, Probability of spinning an A is given by
Probability of getting an A is 0.27.
Hence, Option 'c' is correct
please mark me brainiest i am almost an expert!!
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
I think the 3rd one
Step-by-step explanation:
Hope its right
Describe the type of correlation each scatter plot shows. Draw a trend line that
models each data set and find the equation of that trend line.
The correlation coefficients off both the scatter plots are mentioned above.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as[tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]
where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of
X and Y.
Given are the scatter plot graphs as shown.
For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8
For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45
Therefore, the correlation coefficients off both the scatter plots are mentioned above.
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Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
If you want to learn more about expected value, you can read:
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Answer:
-1/6
Step-by-step explanation:
Solve the following system: y = x 3 3x y = 19 (7, 4) (â’4, 7) (4, 7) (4, â’7).
The correct option is C. (4,7).
Given equations,
[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]
We have to solve the equations.
From equation 1 put the value of y in equation 2 we get,
[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]
Now putting the value of x in equation 1 we get,
[tex]y=4+3\\y=7[/tex]
Hence the required solution of the above equations is (4,7).
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There are 100 students in the sixth grade. The ratio of boys to girls is 2:3. How many more girls than boys are in the sixth grade?
Answer: I Think you will make 100 time 2 divide 3
Step-by-step explanation:
i'm not sure, have a nice day
I need help and I can’t find any sadly. Help!!
Answer:
D, A, E, C, B or 2, 5, 4, 1, 3
Step-by-step explanation:
In general, you compare each line to the one before, and figure out what step was taken. Anything involving an arithmetic operation is allowed by the <Operation> Property of Order.
1. Matches the equation you're solving. This equation is Given.
2. The parentheses have been eliminated by multiplying their insides by the factor outside. The Distributive Property says you can do that.
3. The term 7x has been subtracted from both sides. The Subtraction Property of Order says you can do that.
4. The term -20 has been eliminated by adding 20 to both sides. The Addition Property of Order says you can do that.
5. Both sides have been divided by 18. The Division Property of Order says you can do that.
Building For safety, the angle a wheelchair ramp makes with the horizontal should
be no more than 3.5º. What is the maximum height of a ramp of length 30 ft? What
distance along the ground would this ramp cover? Round to the nearest tenth of
a foot.
Answer: 8.6
Step-by-step explanation:
8.57142857143 --> 8.6
help me 20 pts pls and brainliest
Answer:
elaboration
Step-by-step explanation:
tthe definition of elaboration is the addition of more detail concerning what has already been said. so out of these options, elaboration best fits answers the question
how many would juile see?
Answer:
12Step-by-step explanation:
4*4*__=48
16*__=48
48/16=3
3*4=12
Answer:
12 boxes on the right side
Step-by-step explanation:
4 going across and 3 rows so 12 boxes
48 divided by 3 is 16 but divided by 4 is 12
since there are 16 boxes at the top its a good inference that there's
only 3 flat rows meaning per every flat there would be 4 boxes and 3 rows
there would be 12 boxes on the right side.
Which answer best describes the system of equations shown in the graph?
A. Consistent and dependent
B. Inconsistent
C. Not enough information
D. Consistent and independent
Thanks.
Answer:
A. Consistent and dependent
Answer:
D. Consistent and independent
Step-by-step explanation:
A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)
B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)
C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve
D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
27.2 ft
Step-by-step explanation:
similar triangles
51/90=x/48
x=27.2 ft
Select the correct answer.
Which equation best models the set of data shown in this table?
Х
0
2
4
6
00
8
10
12
14
16
18
11
19
у
27
35
37
40
44
45
48
52
OA. y = 11v– 0.3 + 4.3
OB.y = 1177 + 0.3 – 4.3
O c.
y = 23 + 17
OD. y = 2.3 – 17
Answer: The answer is B.
Explanation: The explanation is in the image.
Answer:
The correct answer is B. y=11 sqrt x+0.3-4.3.
Step-by-step explanation:
I got it right on the Edmentum test.
Which number is an integer?
-34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020
Answer:
Step-by-step explanation: The four numbers: - 34, -0.4, 0.4, 3.4
so if you look at it it The answer is -34
Answer:
-34
Step-by-step explanation:
this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers
HELPPPP please help for brainlist !!!!!!!!!!!!!!
Answer:
a(x) and d(x)
hope it helps, have a good day!
dont forget my brainliest!
Step-by-step explanation:
Shelly sleeps for 7 hours 30 minutes in a day. For how many hours did she sleep in the month of January?
Answer:
Shelly slept 232 hours and 30 minutes in the month of January
Step-by-step explanation:
31 days in January, so the equation will be
31 x 7.5 ( I wrote 0.5 because 30 minutes is half a day)
= 232.5 hours
Shelly slept 232 hours and 30 minutes in the month of January
Answer:
232.5 hours
Step-by-step explanation:
Well, the month of January has 31 days.
If shelly sleeps for 7.5 hours a day, and she sleeps 31 days, we need to do multiplication!
7.5*31=232.5 hours!
N/2-11<-7 solve the 2 step inequality
Answer:
N<6
Step-by-step explanation:
Add 11 to both sides then multiply by 2
Which of the following sets of points are vertices of a right triangle?
O AC-1, 1), B(3,5), C(4, - 4)
O None of the other answers are correct
O A(-1, 3) B(-4, -3) C(-4,1)
O A(-1, -3) B(4, - 3), C(2, - 1)
A(-2, 2) B(1, - 4). C(4, 2)
Answer:
24 square units
Hope you can get an idea from it.
Carry on learning.
Doubt clarification - use comment section.