Answers
Answer: B (−5 < x < 3)
Steps
−19 < 3x − 4 < 5
−19 < 3x − 4 and 3x − 4 < 5
x > −5 and x < 3
−5 < x < 3
Number Line
−19 < 3x − 4 < 5 : Solution: − 5 < x < 3
[ Interval Notation: (−5, 3)]
If a < u < b then a < u and u < b
−19 < 3x − 4 : x > −5
3x − 4 < 5 : x < 3
Combine the intervals
Merge Overlapping Intervals
And that equals=
−5 < x < 3
Related Questions
Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month a female can produce another pair of rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male, one female) every month from the second month on
Answers
The value of a bicycle was recorded over a period of five years. Based on how the plot of the residuals might look, would a linear function that passes through (0,250) and (4,25) be a good fit for the data shown?
A) No, the residuals would tend to be one-sided.
B) No, the residuals would be randomly distributed.
C) Yes, the residuals would be randomly distributed.
D) Yes, the residuals would tend to be one-sided.
I will not accept links, and if you use a link, I will report you.
Answers
Answer:
D) Yes, the residuals would tend to be one-sided.
Step-by-step explanation:
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No math apps, my teacher said they don’t work ♀️
x^3 – 27 = 0
Answers
Answer:
hope this helps you
Answer =3
You have 48 in a yellow ribbon and 64 inches of red ribbon you want to cut the ribbon into pieces of equal length with no leftovers what is the greatest length of pieces that you can make?
Answers
Answer:
16inchs
Step-by-step explanation:
the gcf of 48 and 64 is 16
Answer:
16 because it is the GCF
Step-by-step explanation:
A quantity with an initial value of 860 grows continuously at a rate of 20% per year. What is the value of the quantity after 24 months, to the nearest hundredth? Various forms and units
Answers
Answer:
In this equation, the 100 represented the initial quantity, and the 0.50 was the percent ... If a bank offers a 24 month CD with an annual interest rate of 1.2% ... up an exponential function, with our initial amount of $1000 and a growth rate of r ... An initial substance weighing 20g is growing at a continuous rate of 12% per day.
Step-by-step explanation:
4) You are hired to work for a company at age 25 and the company has a retirement plan
where you can put up to 6% of your salary into the plan each month and they will match
that amount. Your starting monthly salary is $6,100, assume for simplicity sake you
never get a raise, and the retirement plan guarantees a 6.28% interest rate over the life of
the plan.
Scenario 1: You decide to start the retirement plan right away and you can afford
to put the full amount (6% of your salary) into the plan each month.
a) What is 6% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
Scenario 2: You decide to start the retirement plan right away, but you can only
afford to put 3% of your salary into the plan each month.
a) What is 3% of your salary? _______________
b) Since your company matches what you put into your retirement account, what is the
total amount put into your account each month?
_______________
c) How much money will you have in the retirement account when you reach full
retirement age, the time when you can start taking money out of the account, which is 62
years old? ________________
d) How much money did you put into the account? ________________
e) How much money did your employer put into your account? ________________
f) How much money did your account gain in interest over the years? _______________
What is the difference in the amount of money you will have at age 62 between scenarios
1 and 2? ________________
What is the difference in the amounts of money you put into retirement between
scenarios 1 and 2? _______________
How much more money did you get from your employer in scenario 1 than 2? ________
Answers
6% of the salary is $366
The total amount that would in the retirement account in the account each month is $732.
The amount that would be in the retirement account when you retire is $345,418.50.
The amount of money that you put in the account is $162,504.
The amount of money that the employer put in the account is $162,504.
The interest that was gained over the years is $20,410.50.
3% of the salary is $183.
The total amount that would in the retirement account in the account each month is $366.
The amount that would be in the retirement account when you retire is $172,709.25.
The amount of money that you put in the account is $81,252
The amount of money that the employer put in the account is $81,252
The interest that was gained over the years is $10,205.25.
How much would be in the retirement account?6% of the salary = salary x percentage
6% of the salary = 6% x $6,100
6% of the salary = 0.06 x $6,100 = $366
The amount in your account at the end of the month = amount the company puts + amount you deposit
= $366 + $366 = $732
Amount that would be in your retirement account = (1 + interest rate) x amount in the account
Amount that would have been deposited in the account at retirement = number of years until retirement x number of months in a year x amount deposited each year
Amount in the account at retirement = $732 x 12 x (62 -25)
$732 x 12 x 37 = $325,008
Amount in the account at retirement = (1 + 0.0628) x $325,008 = $345,418.50
Amount the employer put in the account = $325,008 \ 2 = $162,504
Interest earned = $345,418.50 - $325,008 = $20,410.50
3% of the salary = salary x percentage
3% of the salary = 3% x $6,100
3% of the salary = 0.03 x $6,100 = $183
The amount in your account at the end of the month = amount the company puts + amount you deposit
= $183 + $183 = $366
Amount that would be in your retirement account = (1 + interest rate) x amount in the account
Amount that would have been deposited in the account at retirement = number of years until retirement x number of months in a year x amount deposited each year
Amount in the account at retirement = $366 x 12 x (62 -25)
$366 x 12 x 37 = $162,504
Amount in the account at retirement = (1 + 0.0628) x $325,008 = $172,709.25
Amount the employer put in the account = $162,504 \ 2 = $81,252
Interest earned = $172,709.25 - $162,504 = $10,205.25
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if branndon finishes his work at 5:00 he us at the rosewood cafe
Answers
Answer:
the question is not complete
Express using a radical
Answers
Answer[tex]\sqrt[4]{6}[/tex][tex]\sqrt[4]{b^3}[/tex][tex]\sqrt[4]{c}[/tex]
Step-by-step explanation:
pls help i don’t understand
Answers
Answer: 495 is the answer
Step-by-step explanation:
11 for the table is 880
11 for the graph is 385
880-385
The lowest recorded temperature in Wisconsin is -55°F on February 4, 1996. Use the expression 5(F-32)/9 to find this temperature in degrees Celsius. Round to the nearest tenth. Explain its meaning
Answers
Answer:
-48.3° Celsuis
Step-by-step explanation:
Mark as brainllest
-20 POINTS- Find the value of X
X=[?]
Answers
Answer:
x=1252x^2
I'm not sure if I'm 100% correct
Sorry.
Step by step
We use Pythagorean theorem to solve this
a^2 + b^2 = c^2
The two short sides are a and b
The hypotenuse or diagonal is c
we are looking for side b (or x)
a^2 + b^2 = c^2
24^2 + b^2 = 26^2
576 + b^2 = 676
subtract 576 from both sides to isolate b
576 - 576 + b^2 = 676 - 576
b^2 = 100
√ b^2 = √100
b = 10
probability of an event happening is 0.77. what's the probability that the event doesn't happen
Answers
Answer:
0.23
Step-by-step explanation:
To find this answer you want to subtract the probability of the event happening (0.77) from one in order to find the probability of it not happening.
1-0.77=0.23
The weights of a sample of nine football players are 78, 72, 68, 73, 75, 69, 74, 73, 72. Find the variance and the standard deviation.
Answers
Answer:
The variance is of 8
Step-by-step explanation:
To find the variance and the standard deviation, first we need to find the mean.
Mean:
Sum of all values divided by the number of values. So
[tex]M = \frac{78+72+68+73+75+69+74+73+72}{9} = 72.67[/tex]
The standard deviation is of 2.83
Variances:
Sum of the difference squared between each value and the mean, divided by the number of values. So
[tex]V = \frac{(78-72.67)^2+(72-72.67)^2+(68-72.67)^2+(73-72.67)^2+(75-72.67)^2+(69-72.67)^2+(74-72.67)^2+(73-72.67)^2+(72-72.67)^2}{9} = 8[/tex]
The variance is of 8
Standard deviation:
Square root of the variance. So
[tex]S = \sqrt{V} = \sqrt{8} = 2.83[/tex]
The standard deviation is of 2.83
help me!! asap!! please!!
Answers
Answer:
y^6/x^4
Step-by-step explanation:
It's the last answer because 1/x^4*y^6 is equal to y^6/x^4
How many hours of sleep do you get each night? Is this a statistical question
Answers
Answer:
Yes.
Step-by-step explanation:
This is a statistical question because a statistical question is a question that can be answered by collecting data that vary. The question that you provided would have different answers from different people.
Another example of a statistical question could be: "How old are the students at my school?" This would be statistical because once again, the ages will vary from different people.
Need with this … substitution method..
Answers
Answer:
The solution is the point (-3,2)
Step-by-step explanation:
x + 2y = 1 Subtract 2y from both sides
x + 2y - 2y = 1 - 2y
x = 1 - 2y Substitute 1 - 2y in for x in the second equation and solve for y.
5x -4y = -23
5(1 - 2y) -4y = -23 Distribute the 5
5(1) - 5(2y) - 4y = -23
5 -10y - 4y = -23 Combine like terms
5 -14y = -23 Subtract 5 from both sides
5 -5 - 14y = -23 -5
-14y = -28 Divide both sides by -14
[tex]\frac{-14y}{-14}[/tex] = [tex]\frac{-28}{-14}[/tex]
y = 2
Solve for y
x + 2y = 1 Substitute in 2 for y and solve for x
x + 2(2) = 1
x + 4 = 1 Subtract 4 from both sides
x + 4 - 4 = 1 - 4
x = -3
The solution is the point (-3,2)
Check:
2 + 2y = 1
-3 + 2(2) = 1
-3 + 4 = 1
1 - 1 checks
5x - 4y = -23
5(-3) - 4(2) -23
-15 - 8 = -23
-23 = -23
5) Is y = x^3 a function. Why or why not; please use complete sentences.
Answers
Yes, the expression; y = x³ is a function because it passes the vertical line test.
What is function?Function from a set x to a set y assigns to each element of x exactly one element of y. The set x is called the domain of the function and the set y is called the codomain of the function.
There are 4 types of functions:
Functions with arguments and return values Functions with arguments and without return valuesFunctions without arguments and with return valuesFunctions without arguments and without return valuesOn this note, the set containing all possible values of x is called the domain of the function and the set y is called the co-domain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
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Josh wants to figure out how far he can run in 30 minutes or less. He averages 8 minutes to run a mile. What inequality can he use to solve this problem?
Answers
Time to run a mile is 8
Used m = number of miles ran
8m <= 30
<= is less than or equal to
"-12<-3x-15" less than or equal to 36
Answers
Answer:
-17 ≤ x < 1
Step-by-step explanation:
-12 < -3x - 15 ≤ 36
Add 15 to all 3 "sides."
-12 + 15 < -3x - 15 + 15 ≤ 36 + 15
3 < -3x ≤ 51
Divide all 3 "sides" by -3. Remember that when you multiply or divide an inequality by a negative number, you much change the direction of the inequality sign.
3/(-3) > -3x/(-3) ≥ 51/(-3)
-1 > x ≥ -17
Rewrite in standard order.
-17 ≤ x < 1
Which of the following is a sum of cubes?
A. 8x^3 -27y^6
B. 3x^3 +8y^6
C. X^3 +8y^6
D. 125x^6 -9y^3
Answers
Answer:
C. X^3 +8y^6
Step-by-step explanation:
X³ +8y⁶ = (X + 2 y²) (X² - 2 X y² + 4 y⁴)
What is the spread of Cassandra’s grades?
The box plot shows Cassandra’s grades in science this year. Use the box plot to answer the following question:
Answers
Answer:i THINK 79, i dont know fully, but i think 79
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Directions: Find the sum for each of the following arithmetic series below. Use the summation
formula to find the sums.
1. A series with six terms, the first term is five, and the common difference is five.
2. A series with six terms, the first term is nine and the common difference is twelve.
3. A series with five terms, the first term is 5.7 and the common difference is 1.4.
Answers
Therefore , the solution to the given problem of arithmetic mean comes out to be 1. 105, 2. 234 and 3. 42.5
Arithmetic mean: What is it ?The combination of the amount of all of the values in a list and the number of items in the that list, split by both, is the arithmetic average or mean of the group. The mathematical progression is same to this. This mean of the digits 5, 7, and 9 is 4,
For example, as expression 5 + 7 + 9 is 21, and 21 divided by 3 [there are actually three numbers] equals 7.
Given:
1) There are six terms in AP, with terms a and d each being worth five points.
2) There are 6 terms in AP, with terms 9 and 12 respectively.
3) In AP, there are five terms, where an is 5.7 and d is 1.4.
4) In AP, = 20, t21 = 400
5) In AP, t100 = 99 and a = 0
Find the sum of the terms in the arithmetic series.
As is common knowledge, Sn in the AP equals n/2[2a+(n-1)d]
To determine: the total terms in the arithmetic series
The AP sum of n words is well known. Sn = (n-1)/2[2a+(n-1)d]
1) There are 6 terms in the case where a = 5 and d = 5, as shown by S6 = [2(5)+(61)5] = 3[10+5(5)] = 3[10 + 25] = 3(35) = 105
2) There are 6 terms in the case where a = 9 and d = 12, where S6 = [2(9)+(61)12] = 3[18+5(12)] = 3[18+60] = 3(78) = 234
3) There are 5 terms total, with terms a = 5.7 and d = 1.4.
S5= [2(5.7)+(5—1)1.4] = 2.5[11.4+4(1.4)] = 2.5[11.4+5.6] = 2.5(17) = 42.5
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Express the following measure in radians.
675°
Answers
Answer:
[tex]\frac{15\pi }{4}[/tex]
Step-by-step explanation:
Degrees to radians, multiply by pi/180
675pi/180
use a calculator to simplify
You get 15pi/4
The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].
What is the formula to convert degree to radian?
The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].
What is the conversion of 675degree?We will substitute 675 for angle in degree into the formula to get the value in radian.
[tex]\frac{675*pi}{180}[/tex]
This will be [tex]\frac{15pi}{4}[/tex].
Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].
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What is the domain of the function with the graph given below?
Answers
Answer:
(-∞, 1] or {x|x<=1}
Step-by-step explanation:
write an equation for the exponential function represented in the graph below.
Answers
Answer
150
Step-by-step explanation:
No hay explanation
HELP PLEASEEEEEEEEO ITS EASY IF U LIKE RECTANGLESoo
Answers
Answer: 5 feet
Step-by-step explanation: I used a ruler
Hello, I am stuck on this question which is a exchange rate question
if 1 sar is worth 0.05 US dollars, how many south african rand is 1 US dollar worth?
Answers
Answer:
0.05 US$=1 sar
then,1 US$=1/0.05 sar.
While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile. She decides to remove this value from further analysis.
What might happen to the mean, median, and mode of the data set after the value's removal?
(select all right answers)
The mode will increase.
The median may stay the same.
The mean will increase.
The mode will stay the same.
The median may decrease.
The mean will decrease.
Answers
The required correct options of data set after the value's removal.
1. The mean will increase. 3. The median may stay the same. 5. The mode will stay the same.
What is the value's removal?The Index Sponsor computes the Removal Value in the same way that Fund Interests in the linked Fund are valued.
Here,
While analyzing a data set, a scientist notices one data value that is 2 IQRs below the first quartile.
As for the properties of statistics, Change in the IQR does affect the median and mode, So options 3 and 5 are correct.
And also mean will increase.
Thus, the correct options are shown above.
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Find x. Round your answer to the nearest tenth of a degree.
15
x
10
Answers
Answer:
x is approximately 48.2.
Step-by-step explanation:
Use the trig function of cosine, or adjacent over hypotenuse.
cos theta = adjacent / hypotenuse
Substitute variables.
cos x = 10 / 15
Apply inverse cosine to both sides.
x = cos^-1(10/15)
Evaluate.
x ≈ 48.2
Answer:
x ≈ 48.2°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{10}{15}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{10}{15}[/tex] ) ≈ 48.2° ( to the nearest tenth )
A recipe for 8 pancakes needs the following:
1 1/4 cups of milk
1 1/2 cups of flour
1 egg
Maria has these ingredients.
1 quart of milk
8 cups of flour
12 eggs
How many more cups of milk does Maria need to make 40 pancakes in total?
Answers
Answer:
2 1/4 cups
Step-by-step explanation:
the first step is to determine how many cups would be needed for 1 pancake
1 1/4 ÷ 8
5/4 x 1/8 = 5/32 cups
the second step is to determine how many cups would be needed for 40 pancakes
5/32 x 40 = 25/4 = 6 1/4
The next step is to convert quart to cups
1 quart = 4 cups
So Maria has 4 cups of milk.
the cups she needs more = 6 1/4 - 4 = 2 1/4 cups