For which of the following compound inequalities is there no solution?
Answer:
(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]
Step-by-step explanation:
Required
Which of a to d has no solution
(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]
We have: [tex]m + 24 > 20[/tex]
Sole for m
[tex]m >20 - 24[/tex]
[tex]m >-4[/tex]
[tex]6m \le - 36[/tex]
Divide by 6
[tex]m \le -6[/tex]
So, we have:
[tex]m \le -6[/tex] and [tex]m >-4[/tex]
[tex]m \le -6[/tex] implies that: m = -6,-7,-8,-9.....
[tex]m >-4[/tex] implies that m = -3,-2,-1,0.....
Hence, there is no solution
This question refers to unions and intersections of relations. Since relations are subsets of Cartesian products, their unions and intersections can be calculated as for any subsets. Given two relations R and S from a set A to a set B, R ∪ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R or (x, y) ∈ S} R ∩ S = {(x, y) ∈ A ✕ B | (x, y) ∈ R and (x, y) ∈ S}. Let A = {−4, 4, 7, 9} and B = {4, 7}, and define relations R and S from A to B as follows. For every (x, y) ∈ A ✕ B, x R y ⇔ |x| = |y| and x S y ⇔ x − y is even. Which ordered pairs are in A ✕ B, R, S, R ∪ S, and R ∩ S? (Use set-roster notation to enter your answers.) A ✕ B = R = S = R ∪ S = R ∩ S =
The ordered pairs in each set are:
A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}
R = {(-4, 4), (4, 4), (7, 7), (9, 9)}
S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}
We have,
A ✕ B:
The concept of Cartesian product was used to generate all possible ordered pairs by pairing each element from set A with each element from set B.
R:
The concept of the absolute value was used to determine the condition for an ordered pair (x, y) to be in relation R, which is that the absolute value of x is equal to the absolute value of y.
S:
The concept of even numbers was used to determine the condition for an ordered pair (x, y) to be in relation S, which is that the difference between x and y is an even number.
R ∪ S:
The concept of a union was used to combine the ordered pairs that are in either relation R or relation S.
R ∩ S:
The concept of intersection was used to find the ordered pairs that are common to both relation R and relation S.
Thus,
The ordered pairs in each set are:
A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}
R = {(-4, 4), (4, 4), (7, 7), (9, 9)}
S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}
R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}
Learn more about sets here:
https://brainly.com/question/8053622
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Composite scores on the ACT are normally distributed with a mean of 21 and a standard deviation of 5. find the Z score for a student that gets a 31
Answer:
[tex]Z = 2[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 21 and a standard deviation of 5.
This means that [tex]\mu = 21, \sigma = 5[/tex]
Find the Z score for a student that gets a 31
This is Z when X = 31. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{31 - 21}{5}[/tex]
[tex]Z = 2[/tex]
what is the coefficient of x in the algebraic expression (5a)x-17x^2+14a?
Coefficient of 'x'= 5a
Coefficient of 'x square'= -17
Constant term = 14a
#1
6
Alie will roll a dice and flip a coin for a
probability experiment. The dice is numbered
one through six and the coin can land on
heads or tails.
If Allie rols the number cube once and flips
the coin once which list contains only the
outcomes in which the number cube lands on a
number less than 3?
B) Heads
D
I Heads
i Tols
Tals
3. Tals
2 Heads
2. Heads
2 Heads
2. Tots
2. Tals
2 Tails
3. Heads
3. Heads
3. Tots
3. Tals
чHeads
4. Tois
5. Heads
5. Tois
6. Heads
6. Tales
A) Heads
C)3 Hoods
Answer:
so it is 20 c because like why not
2x+ 4y=20 find the slope for y and x
Answer:
y= 5 x=10
Step-by-step explanation:
substitute by 0
Please help I really need this done
Answer:
your total is..
Step-by-step explanation:
$14.3 you just gotta add em all together!
Answer:
$69
Step-by-step explanation:
total cost of slices of pizza = 24 x 1.75 = $42
Total cost of carrots = 12 x 0.80 = $9.6
total cost of cookies = 12 x 1.45 = $17.4
total cost = 42 + 9.6 + 17.4 = $69
Would you rather
buy...
the twin-pack
sunscreen
or
two separate
sunscreen bottles?
100
100
30
30
SIRIS
ULTISTRERE
$12.49
(Both are two, 6-oz. cans)
buy 1
get 2nd
58 ULTAST SPRTC
50%
$15.49
Answer:
i rath r buy...
the twin-pack
sunscreen
Step-by-step explanation:
I need the answer. Pls∝∝∝∝
Answer: it is going to be (B)
Answer:
C.256
Step-by-step explanation:
2(lb+bh+hl) = SA
length = 12
width = 4
Height = 5
2( 48+60+20)
128 x 2 = 256
Simplify this 12^-6/12^7
Answer:
[tex]\frac{1}{12^{13}}[/tex] or [tex]12^{-13}[/tex]
Step-by-step explanation:
[tex]\frac{12^{-6} }{12^7} = \frac{\frac{1}{12^6} }{12^7} = \frac{1}{12^{13}} =12^{-13}[/tex]
Suppose a school survey showed that 5 out of 38 students had tried vaping. What percent of these students have tried vaping? Round your answer to the nearest whole percent.
Answer:
13.157894736842% or 13.2% or 13%
Step-by-step explanation:
me with math: (┬┬﹏┬┬)
4/5 divided by 4/7 in simples form
Answer:
1 2/5
Step-by-step explanation:
4/5 divided by 4/7
(4/5) x (7/4) = 28/20=7/5 or 1 2/5
Order from greatest to least: 12, -4,8, -3, 0.
Answer:
-4,-3,0,8,12 its backwards my bad
Step-by-step explanation:
because it is
Answer:
12, 8, 0, -3, -4
hope it helps
HELPPPPPPPPP ME I WILL GIVE BRAINLIEST
Answer:
1. C
3. D
5. B
Don't know the others sorry!
Step-by-step explanation:
Answer:
4. [tex]g(x)=-x^{2}-10x-15[/tex]
6.[tex](2, -11)[/tex]
On a biology test, a student got 25 questions correct but did not pass. On a second attempt, the student got 33 questions correct. What was the percent increase?
Answer: 32%
Step-by-step explanation:
The percentage increase will be gotten by using the formula:
= Increase in score / Former score × 100
= (33 - 25) / 25 × 100
= 8/25 × 100
= 8 × 4
= 32%
The percentage increase is 32%.
In the diagram above z1 =2x+20 and z2 =3x+10. Find the measure of z1.
Answer:
40
Step-by-step explanation:
Angle 1 and 2 are alternate angles
Then they are equal
2x+20=3x+10
Solve for x
X=10
Then 2 (10)+20 =40
help with the Measure of a triangle’s side
Answer:
x = 163.5
x = 1.2
Step-by-step explanation:
Recall: SOH CAH TOA
For the first triangle:
Reference angle = 73°
Opposite = x
Adjacent = 50
Apply TOA:
Tan 73° = Opp/Adj
Tan 73° = x/50
50*Tan 73° = x
163.542631 = x
x = 163.5 (nearest tenth)
For the first triangle:
Reference angle = 4°
Opposite = x
Adjacent = 17
Apply TOA:
Tan 4° = Opp/Adj
Tan 4° = x/17
17*Tan 4° = x
1.1887558 = x
x = 1.2 (nearest tenth)
A empty bowl has a mass of 600 grams. Sue puts 8 cans of equal mass into bowl. She weighs the filled bowl. It has a mass of 7 kilograms. What is the mass of each can in grams?
Answer:
6400/8 = 800gm
because 7000-600= 6400
and 6400/8 is our answer = 800grams
Step-by-step explanation:
1) First we can convert kg into grams
2) Then we deduct 600grams from the mass to show the weight of the mass without the weight of the bowl = - 600grams
1) 7kg = 7000gm
2) 7000-600 = 6400
6400/8 = 800 grams
Answer:
Option B (800))
Step-by-step explanation:
We know that the mass of the empty container is 600 gr
And when they put 8 cans of equal mass then the final weight of the container is 7 kilograms or 7000 grams
If we call x the weight of the cans then this situation can be represented.
Now we solve the equation for the variable x.
Find the x and y intercept of the equation -2x+4y=12
Answer:
x and y intercept
x —> (–6,0)
y —> (0, 3)
What is the value of n so the
expression 3(6+x) is equivalent
to 3(x+n)?
is not the same because you can not add number to alphabet but you can multiple number to alphabet..
Please help and show how you got the answer
Answer:
.11/4 multiply by any number inside the brackets 12x and also 12 to remove the brackets.
2.collect the like terms 3x+8x=11x
3. Then final answer is 11x+3.
Answer:
11x + 3 is the simplest form
Step-by-step explanation:
1/4 (12x + 12) + 8x
First distribute the 1/4 to both terms in the parentheses
= 3x + 3 + 8x
then combine like terms
= 11x + 3
We can't solve for x, only simplify this equation.
A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the product (x1 ), the number of different materials used (x2), and the amount spent on marketing the product (x3). The estimated regression equation is ŷ = 83- 2x1+ 6x2 + 1.1x3.
What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?
a. 83
b. 213
c. 185.4
d. 205.
Answer:
D) 205
Step-by-step explanation:
Given : Cost = 83 - 2 (time taken) + 6 (materials) + 1.1 (marketing cost)
Relationship Equation : y = 83- 2x1+ 6x2 + 1.1x3
Given, time (x1) = 5 , materials (x2) = 4 , marketing cost (x3) = 100
So, putting values, Cost : y = 83 - 2 (5) + 6 (4) + 1.1 (100)
= 83 - 10 + 24 + 110 = 207
The closest to this calculated estimated figure ie 207, is 205.
What is the value of the expression below when x =6 and y =2? Xy-y^3
Please help!!! This really affects my grade! I need a final answer not a guess. Thank you very much. I really appreciate it. Links will be reported!
Answer:
Left skewed
Step-by-step explanation:
Looking at the box and whisker plot attached showing the wait times and the number of times they occur, we can see that as we approach the left, the number of times the wait time occurs increases. The box plot also shows like as if the box was pushed to the right as the center line is closer to the right than left.
Thus, we can say it's left skewed.
Which sentence is punctuated correctly?
A) For breakfast we had bacon, and eggs, fruit juice, and cereal.
B) The novelist wrote poetry, short , stories and plays about her childhood in North Dakota .
C) The bank has branches in downtown Portland Beaverton Milwaukie , and Vancouver .
D) The athlete won the triathlon by running, a marathon , swimming two miles, and bicycling around the island.
Answer:
A) For breakfast we had bacon, and eggs, fruit juice, and cereal.
Hope this helps!!
If angle B measures 25°, what is the approximate perimeter of the triangle below?
Hello!
I had this problem in a test, and there is an image of a right triangle in the test
We have been given an image of a right triangle and are asked to find the perimeter of our given triangle.
The answer is 10.3 units, Option A
I need help on this!
Study guide for exam
No links
The circle has the same question!
Answer:
60
Step-by-step explanation
20*3 becasuse it equlatrial
A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5.
What is the area of the new rectangle?
Enter your answer in the box.
in2
Answer:
882 in^2
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppp
Answer:
x ≈ 5
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]log_{10}[/tex] x ≈ 0.701 , then
x = [tex]10^{0.701}[/tex] ≈ 5
The value of a car is decreasing by 12% per year. If the car is worth $11,000 today, what will it be worth in two years?
Answer:
$8518.40
Step-by-step explanation:
FV = PV(1+r)^n
FV = future value
PV = present value
r = rate
n = # of years
Value in 2 yrs = 11,000 x (1 - 0.12)^2 = 8518.4