Answer:
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]
Step-by-step explanation:
Given
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)[/tex]
Required
Simplify
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2).[/tex]
Expand brackets
[tex]2\sqrt{5}(3\sqrt{5}+2). - 4(3\sqrt{5}+2).[/tex]
Open each bracket
[tex]2\sqrt{5}*3\sqrt{5}+2\sqrt{5}*2 - 4*3\sqrt{5}-4*2[/tex]
[tex]6 * 5 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]
[tex]30 + 4\sqrt{5} - 12\sqrt{5} - 8[/tex]
Collect Like Terms
[tex]- 8+30 + 4\sqrt{5} - 12\sqrt{5}[/tex]
[tex]22 - 8\sqrt{5}[/tex]
Hence:
[tex](2\sqrt{5} - 4)(3\sqrt{5}+2)= 22 - 8\sqrt{5}[/tex]
Which function has a greater rate of change?
Answer:
A. Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function A has a greater rate of change
Step-by-step explanation:
✔️Function A rate of change can be calculated using two points, (1.5, 5) and (2.5, 0)
[tex] rate of change = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 5}{2.5 - 1.5} = \frac{-5}{1} = -5 [/tex]
Rate of change of function A = -5
✔️Rate of change of Function B, y = -4.5x + 15:
The equation for function B is given in the slope-intercept form, y = mx + b. Here, m represents the rate of change.
Therefore, the rate of change of the equation, y = -4.5x + 15, is -4.5.
✔️Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function A has a greater rate of change. This is because the larger the value, regardless of the sign, the steeper the slope.
Some friends are planning on going on a road trip that is 3,600 kilometers long. If they drive an average of 600 kilometers each day, how long will their road trip last?
Step-by-step explanation:
3600/600=36/6=6 days
please give me brainlest❤️
1. Jenna makes $96,000 per year working for an online e-magazine. Her company offers a 401K retirement plan in which they will match 45% of her contributions
to the 401K up to 9% of her salary. The company will only allow employees to make contributions to the 401K to a maximum of 25% of their salary. For the year
in question, the maximum allowable contribution to any 401K is $22,000 since she is over the age of 55.
a) What is the maximum Jenna's employer will allow for her contribution?
b) What is the maximum contribution she could make?
c) What is her employer's maximum contribution amount?
Answer:
a) The maximum Jenna's employer will allow for her contribution is $24,000.
b) The maximum contribution she could make is $22,000.
c) Her employer's maximum contribution amount is $8,640.
Step-by-step explanation:
a) What is the maximum Jenna's employer will allow for her contribution?
The maximum Jenna's employer will allow for her contribution = Jenna's annual salary * Maximum percentage allowed by her employer = $96,000 * 25% = $24,000
b) What is the maximum contribution she could make?
The maximum contribution she could make = The maximum allowable contribution to any 401K for the year in question = $22,000
c) What is her employer's maximum contribution amount?
Her employer's maximum contribution amount = Jenna's annual salary * 9% = $96,000 * 9% = $8,640
1/2 (3x + 5) = 7
anyone can someone explain this problem to me so I can understand it better.
Determine the value of x using a trigonometric ratio.
Question 7 options:
A) 10.11
B) 4.98
C) 8.49
D) 4.18
Answer:
B) 4.98
D) 4.18
my head keeps sayin B
Step-by-step explanation:
The correct answer is B) 4.98.
Please help I'm not very bright.
A
Step-by-step explanation:
V=lwh=4•4•2=16•2=32
The price of a theater tickets 56.89.There are 22 seats in each row of the theater .How much would it cost to buy tickets for 2 full rows of seats
Answer:
Step-by-step explanation:
one row has 22 seats
2 rows have 44 seats
44x56.89=2,503.16
Answer:
2,507.12
Step-by-step explanation:
If we know that there is 22 two seats in each row, and we are trying to solve for two rows, multiply the numbers of seats in each row by the number of rows:
2x22=44
Now that we know how many seats we have, simply times this by the price of each seat:
44x56.89=2,507.12
Based on this math, we can see that it would cost 2,507.12 dollars to buy two full rows of seats. Hope this helps!
PRACTICE ANOTHER A normal distribution has a mean of 69 and a standard deviation of 15. What is the median
Answer:
69
Step-by-step explanation:
Here, we are interested in getting the median of the distribution
Mathematically, if we are talking about a moral distribution, we have equal values for median, mode and mean
Hence the median in this case will be 69
Ryan spent half of his weekly allowance playing mini-golf. To earn more
money his parents let him wash the dog for $8. What is his weekly
allowance if he ended with $12?
i’ll even cash app or paypal if you help !! drop your cash tag with the answer <3!
Answer:
20$ (had to be 20 letters :")
Step-by-step explanation:
Help, please. Thanks!
Answer:
[tex]y = \frac{2}{3} x[/tex]
Step-by-step explanation:
Notice how it passed through at exactly (3,2) and (6,4).
By taking the formula for slope:
[tex]m = \frac{rise}{run} = \frac{y}{x} \\ = \frac{2}{3} [/tex]
Substituting this into the slope-intercept form
y = mx + b
where m is the slope of the line and b is the y-intercept.
Since we were not given the y-intercept and the line started or passes through (0,0), we can safely assume that b = 0.
Therefore,
[tex]y = \frac{2}{3} x[/tex]
16) Diane wants to plant bushes around the edge of a round flower garden. The radz of the garden z 10 Hen many bushes should she buy it she wants to plant one cvery two feet? OA) 16 -B) 21 OC) 33 OD) 173 OE) 45
Answer:
perimeter of circle=2πr=2π(10)=20π=3.14×20=62.8.
Step-by-step explanation:
62.8/2=31.4 bushes~ 33 bushes (OC)
which fractions are less than 1/2? A. 1/3 B. 4/6 C. 2/5 D. 5/8 or E. 7/12
80.5% of 136 robots on an assembly line will be approved by the quality-control inspector. Write and solve a proportion to find how many robots will be approved.
Answer:595 will be approved
Step-by-step explanation:
The number of 109 of robots will be approved by the quality-control inspector.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
80.5% of 136 robots on an assembly line will be approved by the quality-control inspector.
Let n number of robots will be approved.
n = 80.5% of 136
n = 80.5 x 136 /100
n = 109.48
n ≈ 109.
Therefore, 109 robots will be approved.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
write an equation in slope intercept form for a line that passed through the two points below (-4, -5) (4,1)
In a random sample of 60 computers, the mean repair cost was $150. Assume the population standard deviation is $36. Construct a 95% confidence interval for the population mean.
Answer:
The 95% confidence interval for the population mean is between $140.89 and $159.11.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{36}{\sqrt{150}} = 9.11[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 150 - 9.11 = $140.89
The upper end of the interval is the sample mean added to M. So it is 150 + 9.11 = $159.11
The 95% confidence interval for the population mean is between $140.89 and $159.11.
What is the volume of the figure? Enter the answer in the box.
Answer:
18*8*10= 1440
Step-by-step explanation:
volume L*W*H
Volume 18 m * 8 m *10 m
Volume= 1440
Volume= 9 m *5 m *24 m
Volume= 1080
1080 + 1440 = 2520 m
A plumber charge $60 for a house call, plus $75 for each hour of work. What is the rate of change? What is the initial value?
Write the product (4+2i)(6-4i) in the standard form
Answer:
32 - 4i
hope this helps
Use the geometric mean (altitude) theorem. What is the value of m?
Answer:4
Step-by-step explanation:
Answer:
Correct answer is c
Step-by-step explanation:
just took the test
55÷9=? R ? What is the remainder for 55÷9 Thats all im just asking for just the remainder.
Answer:
1.... I think nit 100 % sure
Answer:
0 R 9
9 ÷ 55 = 0 with remainder 9 ( O R g )
Help please!! Thanks !!!
What is the probability of p( a multiple of 5)
Answer:
Step-by-step explanation:
Viewed 434 times
1
The problem seems to contradict itself and that's why it puzzles me. Here's the full text:
Let there be an infinitely sided die where each face has an equal probability of appearing upon casting the die. Each side is marked {1,2,3,…}. What is the probability that upon casting this die a multiple of 5 appears?
How can this die form a uniformly distributed set?
Let p be the probability of rolling each number. Then ∑p=1, but there are infinitely many p's, so p=limn→∞1n, which leads to p=0, which, in\ turn, contradicts ∑p=1.
Will give 15 points for the Brainlest answer
Answer:
The 3rd one is the right one.
Step-by-step explanation:
To figure out if something is a function or not is by doing the Verical Line test.
This isnt a function because of (6,2) and (6,5).
PLEASE HELP!!! I WILL GIVE BRAINLEST!!! I REALLY NEED HELP WITH THIS
Answer:
AD=RQ AB=SR BC=SP=DC=PQ
Step-by-step explanation:
Solve and show all steps
PLSSS ASAP I NEED HELP TYSM!!!!
Answer:
n < 6
Step-by-step explanation:
I multiplied the entire equation by 3 to remove the fraction. This got me:
12 + n < 18
I then subtracted 12 (inverse operations) to get:
n < 6
I hope this helps!
Answer:
n=1
Step-by-step explanation: n/3=3+4 is less than 6
The sugar maple tree in Joshua's yard is the age of the oak tree in his yard. The sugar maple tree is 20 years old. How old is the oak tree?
5 years old
80 years old
24 years old
16 years old
Complete question :
The sugar maple tree in Joshua's yard is 1/4 the age of the oak tree in his yard. The sugar maple tree is 20 years old. How old is the oak tree?
Answer:
80 years
Step-by-step explanation:
Given that :
Sugar maple tree = 1/4 age of oak tree
Age of sugar maple tree = 20
Age of oak tree = x
20 = 1/4 * x
20 = x / 4
Multiply both sides by 4
20 * 4 = (x / 4) * 4
80 = x
Hence, Age of oak tree = 80 years
Why is the median resistant, but the mean is not?
Choose the correct answer below.
A.
The median is resistant, while the mean is not, because when there are extreme values in the tail, the value of the median changes while the mean does not.
B.
The mean is not resistant because when data are skewed, there are extreme values in the tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.
C.
The mean is not resistant because when data are skewed, there are extreme values in the tail, which do not pull the mean in that direction. However, the median is pulled in the direction of the extreme values, making it resistant.
D.
The mean is not resistant because it is dependent upon the sample size, n. The larger n is, the smaller the mean becomes. However, the median is resistant because it is not dependent on the sample size, n.
Using the concepts of the mean and the median, the correct option is given by:
B.
The mean is not resistant because when data are skewed, there are extreme values in the tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.
-------------------
The mean of a data-set is given by the sum of all of the values in the data-set divided by the cardinality of the data-set, that is, the number of values it has.The median is the 50th percentile, that is, the measure that splits the data-set, when sorted ascendingly, in half, one-half having the lower 50% of the measures, and the other having the upper 50%.From this, we can conclude that since the mean involves all values, it can be affected by outliers, which are values on the tails, while the median is not.Thus, the correct option, which states the bullet point above, is option b.A similar problem is given at https://brainly.com/question/24097242
7/5=2-m What is m equal to
What is the constant rate of change ? y=4.5x+23
Answer:
4.5 i believe
Step-by-step explanation:
Which statement about inequalities is NOT true?
A. An inequality may have integer and rational solutions.
B.An inequality may have positive and negative solutions.
C. If a a.
D. If a < b, then b < a.
Answer: The answer is C or the third answer choice because the absolute value of nine is equivalent to the absolute value of nine. The meaning of absolute value is the number of places away from zero on the number line, and both 9 and -9 are equal distance from zero.
Step-by-step explanation: