( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 )
Simplify the expression.
53 n
Answer:
The simplified solution to this expression is 5n⁴ + 11n³
Step-by-step explanation:
(5n³ + n⁴ - 5) - (-5 - 6n³ - 4n⁴)
Distribute the negative sign to (-5 - 6n³ - 4n⁴)
5n³ + n⁴ - 5 + 5 + 6n³ + 4n⁴
Group like terms.
(4n⁴ + n⁴) + (6n³ + 5n³) + (-5 + 5)
Combine like terms.
5n⁴ + 11n³
Three friends went shopping. Danetta spent $25 more than Elaine spent, but Jan spent $35 less than Danetta spent. If they spent $165 in all, how much did each of the friends spend?
Answer:
Elaine spent $50, Danetta spent $75, and Jan spent $40
Step-by-step explanation:
Let x represent how much Elaine spent:
Danetta will be represented by x + 25
Jan will be represented by x - 10
Then, create an equation:
x + x + 25 + x - 10 = 165
Add like terms and solve for x:
3x + 15 = 165
3x = 150
x = 50
So, this means Elaine spent $50
Plug in 50 as x to find how much Danetta and Jan spent:
x + 25
50 + 25
= $75 (Danetta)
x - 10
50 - 10
= $40 (Jan)
So, Elaine spent $50, Danetta spent $75, and Jan spent $40
The money spent by Danetta is $75, the money spent by Elaine is $50, and the money spent by Jan is $40.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let D be the money spent by Danetta, E be the money spent by Elaine, and J be the money spent by Jan.
Three friends went shopping. Danetta spent $25 more than Elaine spent. Then the equation will be
D = E + 25
E = D – 25
But Jan spent $35 less than Danetta spent. Then the equation will be
J = D – 35
If they spent $165 in all. Then the equation will be
D + E + J = 165
Put the value of E and J in the above equation.
D + D – 25 + D – 35 = 165
3D – 60 = 165
3D = 225
D = 225 / 3
D = 75
Then the value of E will be
E = D – 25
E = 75 – 25
E = 50
Then the value of J will be
J = D – 35
J = 75 – 35
J = 40
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
how many sundaes did the shop make if they used 32 spoonfuls of sprinkles
Answer:
Depends on how many spoonfuls they use per sundae. If they use one spoonful they made 32 sundaes, if they use 2 spoonfuls they made 16 sundaes.
Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands):
Cost 9 2 3 4 2 5 9 10
Number 85 52 55 68 67 86 83 73
A.-0.071
B. 0.708
С. 0.235
D. 0.246
Answer:
B.) 0.708
Step-by-step explanation:
Given the following data :
Cost of advertising (in thousands of $) (x) :
9
2
3
4
2
5
9
10
Number of product sold (in thousands of $) (y) :
85
52
55
68
67
86
83
73
Using the pearson Coefficient of correlation calculator, the correlation Coefficient obtained for the data above is : 0.7077 = 0.708 (3 decimal places).
This depicts a strong positive correlation between the cost of advertising and the number of product sold as the correlation Coefficient is both positive and close to 1. This means payibg a high cost for advert will almost usually result in a corresponding increase in the number of products sold.
you roll a pair of six-sided dice (each can be a 1,2,3,4,5, or 6). What is the probability that the sum of your dice is greater than 10
Answer:
1/12Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected number of outcome/Total outcome
Since a pair of die with six faces is rolled, the total number of outcome will be 6^2 = 36
Expected outcome is the sum of dice greater than 10. The only time we can get a sum of the dice grater than 10 is when the following are rolled; (5,6), (6, 5) and (6, 6). The sum of the numbers will give us 11 ans 12 respectively which are values greater than 10.
The expected outcomes = 3 outcomes
The probability that the sum of my dice is greater than 10 = 3/36
Hence the probability that the sum of my dice is greater than 10 is 1/12
9. Ms. Barton determined that the
total cost of her wedding, c,
could be represented by the
equation c = 75n + 1500, where n
is the number of people
attending the wedding. If Ms.
Barton's wedding cost $8625,
how many people attended the
wedding?
A 135 B 95
C 115 D 75
Answer:
B. 95
Step-by-step explanation:
Plug in 8625 into the equation as c:
c = 75n + 1500
8625 = 75n + 1500
Solve for n:
7125 = 75n
95 = n
So, 95 people attended.
Answer:
B
Step-by-step explanation:
So we have the equation:
[tex]c=75n+1500[/tex]
Where c represents the wedding cost and n represents the number of people who attended the wedding.
We know that the wedding cost a total of $8625. Thus, we can plug this number in for c and solve for n:
[tex]8625=75n+1500[/tex]
Subtract 1500 from both sides. The right cancels:
[tex](8625)-1500=(75n+1500)-1500\\7125=75n[/tex]
Now divide both sides by 75:
[tex](7125)/75=(75n)/75\\n=95[/tex]
Thus, a total of 95 people attended the wedding.
if q^2-1 is divisible by 8 if q is _____
Answer:
if q is odd
Step-by-step explanation:
Hello,
Either q is odd or is even.
Case 1 - we can find k integer so that q = 2k
Then, in the case
[tex]q^2-1=4k^2-1[/tex]
This is not divisible by 8, for instance, q = 6
[tex]q^2-1=36-1=35=7*5[/tex]
Case 2 - we can find k integer so that q = 2k+1
[tex]q^2-1=(2k+1)^2-1=4k^2+4k+1-1=4k(k+1)[/tex]
k(k+1) is divisible by 2 so the initial number is divisible by 8
Conclusion, the answer is q is odd.
Thanks
Find the value of the linear correlation coefficient r. The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands):
Cost 9 2 3 4 2 5 9 10
Number 85 52 55 68 67 86 83 73
A.-0.071
B. 0.708
С. 0.235
D. 0.246
Answer:
(B) 0.708
Step-by-step explanation:
The table, representing details of this information and all that are necessary to calculate the linear correlation coefficient r, has been attached to this response.
With all details well represented on the table, we can now find the linear correlation coefficient r using the relation attached to this response:
From the relation;
n = sample size = 8
∑xy = 3347
∑x = 44
∑y = 569
∑x² = 320
∑y² = 41681
Substitute these values into the relation as follows;
[tex]r = \frac{3347 - \frac{44* 569}{8} }{\sqrt{(320 - \frac{44^2}{8} )(41681 - \frac{569^2}{8} ) } }[/tex]
[tex]r = \frac{217.50}{307.32}\\[/tex]
r = 0.7077
r = 0.708 to 3 decimal places
Therefore, the value of the linear correlation coefficient is 0.708
If : X ~ N (30,0?), n
= 10, S2 = 5 then P(< 32) =
Answer:
P= positive N=negative P x N = N N x P = N P x P = P N x N = P Hope that helps!?!?!
Step-by-step explanation:
A small publishing company is planning to publish a new book. The production cost will include one-time fixed cost such as editing and variable costs (such as printing) There are two production method it could use. With one method, the one time fixed cost will total $57,641, and a variable cost will be $10 per book. With the other method, the one time fixed cost will total $16,682 and a variable cost will be $19.25 per book. For how many books produces will the costs from the two methods be the same?
Answer:
4,428 books
Step-by-step explanation:
make the equation 57,641+10x=16,682+19.25x
(you’re using that equation because the numbers have to be equal at the end. also “x” is the variable) after that subtract 16,682 from both sides that should give you (40,959+10x= 19.25x) after that subtract 10x from both sides, that should give you (40,959 = 9.25x) Lastly divide both sides by 9.25 and you should get x=4,428.
Multiply the equation (-3)(-5)
Answer: +15
Step-by-step explanation: Sine a negative times a
negative always equals a positive, (-3) · (-5) is +15.
Answer:
+15
Step-by-step explanation:
negative times a negative is always a positive
The solution generated by the calculator is 5.779E-8. Describe how to interpret the solution.
Answer:The E indicates scientific notation. The first number is the coefficient of the number in scientific notation. This number is multiplied by a power of 10. The number following the E, which is -8, is the exponent, and the base is 10.
REAL ANSWER
Step-by-step explanation:I did the assignment
Answer:
SIMPLE RESPONES: The E indicates scientific notation. The first number is the coefficient of the number in scientific notation. This number is multiplied by a power of 10. The number following the E, which is –8, is the exponent, and the base is 10.
Step-by-step explanation:
I'll give you brainliest! Just need help with 5-10! (Least common factors)
Answer:
603048424555Step-by-step explanation:
5.
[tex]12,\:30\\\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\times\:2\times\:3\\\mathrm{Prime\:factorization\:of\:}30:\quad 2\times\:3\times\:5\\\\=2\times\:2\times\:3\times\:5\\\\=60[/tex]
6.
[tex]6,\:10\\\\\mathrm{Prime\:factorization\:of\:}6:\quad 2\times\:3\\\mathrm{Prime\:factorization\:of\:}10:\quad 2\times \:5\\\\=2\times \:3\times \:5\\\\=30[/tex]
7.
[tex]16,\:24\\\\\mathrm{Prime\:factorization\:of\:}16:\quad 2\times \:2\times\:2\times\:2\\\mathrm{Prime\:factorization\:of\:}24:\quad 2\times\:2\times\:2\times\:3\\\\=2\times\:2\times\:2\times\:2\times\:3\\\\=48[/tex]
8.
[tex]14,21\\\\\mathrm{Prime\:factorization\:of\:}14:\quad 2\times\:7\\\mathrm{Prime\:factorization\:of\:}21:\quad 3\times\:7\\\\=2\times\:7\times\:3\\\\=42[/tex]
9.
[tex]9,15\\\\\mathrm{Prime\:factorization\:of\:}9:\quad 3\times\:3\\\mathrm{Prime\:factorization\:of\:}15:\quad 3\times\:5\\\\=3\times\:3\times\:5\\\\=45[/tex]
10.
[tex]5,\:11\\\\\mathrm{Prime\:factorization\:of\:}5:\quad 5\\\mathrm{Prime\:factorization\:of\:}11:\quad 11\\\\=5\times \:11\\\\=55[/tex]
Plz help!
1/8 x 2/3 = ?
Lowest terms ????
Answer:
Normal form = 1/12
Decimal form: 0.0833
[Calc1]
Help with 2 questions?
(B) What is the least squares regression line
(C) According to the model in (b), for every increase of $1000 in income, the ulcer rate (per 100 population) will go down by _________ points.
Answer:
B) y = -9.98×10⁻⁵ x + 13.95
C) 0.1
Step-by-step explanation:
Using Excel, the least squares regression line, rounded to two decimal places, is y = -9.98×10⁻⁵ x + 13.95.
The slope is -9.98×10⁻⁵, so if x increases by 1000, then y changes by -9.98×10⁻² = -0.0998. Rounded to one decimal place, the ulcer rate per 100 population will go down by 0.1 points.
Put the numbers 1.01, 10.01, 1.11, 1.011 in order from greatest to least?
Answer:
1.011, 10.01, 1.11, 1.01
hope this helps
10.01 1.11 1.011 1.01
Step-by-step explanation:
10.01 1.11 1.011 1.01
If you spun the spinner 1 time what is the probability of landing on either a gray piece or a white piece
Answer:
50%
Step-by-step explanation:
If there's only either a gray piece or a white piece on the spinner and you spun it once, the probability of it landing on gray or white is 50%. But if there are more pieces the answer will be incorrect.
whats 1+2*5(6/7)=? will mark brainliest
Answer: 67/7
Step-by-step explanation:
1+(2)(5)(6/7)=67/7
(Decimal: 9.571429)
hope i helped
-lvr
Answer:
The answer : 1+2*5(6/7) = 9.57142857143 or 67/7
Inventa un reparto donde el resultado sea 4/5
Answer:
Snacks are distributed in a school.
There are only 36 apples and 44 bananas for the students, but there are 72 orange juices and 28 tangerine juices. The distribution would be 4/5, it would take 20 fruits so that the snack per student be the same.
Step-by-step explanation:
A fraction is a whole number that expresses a certain number of portions that are taken from a whole divided into parts.
It is represented by a bar that separates the first part (numerator) from the second (denominator).
The numerator represents the number of parts taken and the denominator represents the entire element.
For example, 3 eaten parts of a 4-piece cake.
3/4 of the cake was eaten.
While conducting a goodness-of-fit test if the observed and expected values are close, you would expect which of the following?
A. Large X2 value, large p-value
B. Small x2 value, large p-value
C. Large X2 value, small p-value
D. Small X2 value, small p-value
Answer: Choice B
Small X^2 value, large p-value
=================================================
Explanation:
The X^2 refers to chi-squared or chi-square value.
If the observed and expected values are close, then their differences are small leading to small squares of those differences. Consequently, this means the sum of the squared differences is also small leading to a small X^2 value.
The p-value is the probability of getting a certain chi-square value or larger. If X^2 is small, then we have a very large chance of getting that certain X^2 value or larger. Visually, the area under the chi-square curve to the right of X^2 will be large if X^2 is small.
A large p-value means we fail to reject the null hypothesis. You can think of the p-value as the probability that the null is correct (though because of some technical reasons it's not this entirely, but its close enough). This means a large p-value tells us to accept that the data fits the distribution we're trying to compare to.
In this exercise we have to use probability knowledge so we can say that the correct alternative is:
Letter B
If the observed and expected values are close, then their differences are small leading to small squares of those differences. Consequently, this means the sum of the squared differences is also small leading to a small [tex]X^2[/tex] value.
The p-value is the probability of getting a certain chi-square value or larger. If [tex]X^2[/tex] is small, then we have a very large chance of getting that certain [tex]X^2[/tex] value or larger. Visually, the area under the chi-square curve to the right of [tex]X^2[/tex] will be large if [tex]X^2[/tex] is small.
A large p-value means we fail to reject the null hypothesis. You can think of the p-value as the probability that the null is correct . This means a large p-value tells us to accept that the data fits the distribution we're trying to compare to.
See more about probability at brainly.com/question/795909
What is -2 x (-12) ?
[tex]-2x\left(-12\right)=24x[/tex]
Answer:
24x
Step-by-step explanation:
Parenthesis implies multiplication, and when a negative and a negative are multiplied, the answer becomes positive. Adding on the x, the answer to this equation if 24x.
The rectangular area measures 30 ft by 25ft. The fencing that will be used comes in 25 ft sections. How many sections will you need to enclose the area?
Answer:
5
Step-by-step explanation:
Is anyone good at math? That can be my tutor? College Math to be exact.
Answer:
Of course, there is
Step-by-step explanation:
I'm sure there are a lot of smart people here on brainly that can be of good help. You can message any of them for help. At the mean time, you can post your maths problems here on brainly and we'll try as much as possible to help out where and when we can. Thank you, and good luck.
Let f(x) = x − 3 and g(x) = x + 11. Find f(x) ⋅ g(x)
Find the equation of a line that is parallel to -6x+3y=3 and passes through the point (5,4).
[tex]\[\begin{array}{l} - 6x + 3y = 3\\y = 2x + 1\\f(x) = 2x + b\\f(5) = 4\\4 = 2 \cdot 5 + b\\ - 6 = b\\f(x) = 2x - 6\end{array}\]\\[/tex]
A_____is a set of assumptions about how sample data are selected and about the population from which the sample data are selected.a. random sampling.
b. statistical model.
c. descriptive statistics.
d. probability sampling.
Answer: probability sampling
Step-by-step explanation:
Probability sampling is used as a sampling method in which the researcher chooses samples from a large population using a method which is based on the theory of probability. For an item to be qualify as a probability sample, that item must be selected using a random selection. An example is the selection of 2 girls from a group of 20 students where 12 are girls and 8 are boys.
Please help me fast:
Before a sale, an item’s price was $45.00. After the sale discount the price became $38.25. What was the percent of the sale discount?
Solve:
d
5.6−7y=−4(2y−0.9)+2.4
Answer:
45 − x % ∗ 45 = 38.25
− 45 x /100 = 38.25 − 45
− 45 x /100 = − 6.75
x = 6.75 ∗ 100 /45
= 15
Answer:
Step-by-step explanation:
Before a sale 45.00$
original price p =$45.00
After the sale discount, the price became $38.25
Difference of sale = 45.00-38.00= $7.00
% of sale distance =Difference of sale/p x%100
=%15
Which of these questions can be answered with a simple yes or no?
A. What sororities and fraternities are available?
B. Are scholarships offered?
C. What dining options are offered on campus?
D. How much is the tuition?
Answer:B
Step-by-step explanation:
B because it can be answered with yes or no while the others need more answers
Need help ASAP if y’all could pls help me out that would be great
ASAP HELPPPPPPPPpppppp
Answer: see explanation
Step-by-step explanation:
you would add AB (14) and BC (3x-4) to get the length of AC (4x+4).
14 + 3x-4 = 4x + 4
then, just solve for the value of x. (isolate x)
and then plug the value of x back in to "4x+4" and that's your answer.
Answer:
6
Step-by-step explanation:
14+3x-4=4x+4
3x+10=4x+4
3x-4x=4-10
-1x=-6
x=6
Use Stokes' Theorem to evaluate
integral.gif
C
F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + yzj + zxk,
C is the boundary of the part of the paraboloid z = 1 − x2 − y2 in the first octant.
Answer:
[tex]-\frac{17}{20}[/tex]
Step-by-step explanation:
[tex]-\frac{17}{20}[/tex] the negativity shows that it is in the opposite direction
attached below is the detailed solution on how we got to this above answer using the stoke's theorem