Answer:
[tex]Area = x^2- 25[/tex]
[tex]Area =9x^2 +24x + 16[/tex]
[tex]Length = (3x -2)[/tex]
[tex]Speed = \left(y^2-3y+1\right)[/tex]
[tex]Product = 3m^3 + 6m^2 - 6m[/tex]
Step-by-step explanation:
Solving (1):
[tex]Length = (x + 5)[/tex]
[tex]Width = (x - 5)[/tex]
Required
Calculate Area
[tex]Area = Length * Width[/tex]
[tex]Area = (x + 5) * (x - 5)[/tex]
[tex]Area = x^2 + 5x - 5x - 25[/tex]
[tex]Area = x^2- 25[/tex]
Solving (2):
Given
[tex]Length = (3x + 4)[/tex]
Required: Calculate Area
[tex]Area =Length * Length[/tex]
[tex]Area =(3x + 4) * (3x + 4)[/tex]
[tex]Area =9x^2 + 12x + 12x + 16[/tex]
[tex]Area =9x^2 +24x + 16[/tex]
Solving (3):
[tex]Area = 3x^2 + 7x - 6[/tex]
[tex]Width = x + 3[/tex]
Required: Calculate Length
[tex]Area = Length * Width[/tex]
[tex]Length = \frac{Area}{Width}[/tex]
[tex]Length = \frac{3x^2 + 7x - 6}{x + 3}[/tex]
Factorize the numerator
[tex]Length = \frac{3x^2 + 9x -2x - 6}{x + 3}[/tex]
[tex]Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}[/tex]
[tex]Length = \frac{(3x -2) (x + 3)}{x + 3}[/tex]
Divide by x + 3
[tex]Length = (3x -2)[/tex]
Solving (4):
[tex]Distance = (2y^3 - 7y^2 + 5y -1)[/tex]
[tex]Time = 2y - 1[/tex]
Required: Determine the average speed
This is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}[/tex]
Factorize the numerator
[tex]Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}[/tex]
[tex]Speed = \left(y^2-3y+1\right)[/tex]
Solving (5):
Multiply [tex](m^2 + 2m - 2)[/tex] by sum of [tex](m + 3)[/tex] and [tex](2m - 3)[/tex]
First, calculate the sum:
[tex]Sum = m + 3 + 2m - 3[/tex]
[tex]Sum = m + 2m+3 - 3[/tex]
[tex]Sum = 3m[/tex]
Then, the product
[tex]Product = (m^2 + 2m - 2)(3m)[/tex]
[tex]Product = 3m^3 + 6m^2 - 6m[/tex]
Answer:
Step-by-step explanation:
Solving (1):
Required
Calculate Area
Solving (2):
Given
Required: Calculate Area
Solving (3):
Required: Calculate Length
Factorize the numerator
Divide by x + 3
Solving (4):
Required: Determine the average speed
This is calculated as:
Factorize the numerator
Solving (5):
Multiply by sum of and
First, calculate the sum:
Then, the product
-5.2k+2.9 =-12k+30.1
Please show work !
answer: 3.8857
explanation:
Simplifying
-5k + 2.9 = -12k + 30.1
Reorder the terms:
2.9 + -5k = -12k + 30.1
Reorder the terms:
2.9 + -5k = 30.1 + -12k
Solving
2.9 + -5k = 30.1 + -12k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '12k' to each side of the equation.
2.9 + -5k + 12k = 30.1 + -12k + 12k
Combine like terms: -5k + 12k = 7k
2.9 + 7k = 30.1 + -12k + 12k
Combine like terms: -12k + 12k = 0
2.9 + 7k = 30.1 + 0
2.9 + 7k = 30.1
Add '-2.9' to each side of the equation.
2.9 + -2.9 + 7k = 30.1 + -2.9
Combine like terms: 2.9 + -2.9 = 0.0
0.0 + 7k = 30.1 + -2.9
7k = 30.1 + -2.9
Combine like terms: 30.1 + -2.9 = 27.2
7k = 27.2
Divide each side by '7'.
k = 3.885714286
Simplifying
k = 3.885714286
hope this helped;))))
In ΔEFG, the measure of ∠G=90°, FG = 4.8 feet, and GE = 3.5 feet. Find the measure of ∠F to the nearest degree.
Answer:
36
Step-by-step explanation:
What function uses the ADJACENT and the OPPOSITE?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\tan F = \frac{\text{opposite}}{\text{adjacent}}=\frac{3.5}{4.8}
tanF=
adjacent
opposite
=
4.8
3.5
\tan F = \frac{3.5}{4.8}
tanF=
4.8
3.5
F=\tan^{-1}(\frac{3.5}{4.8})
F=tan
−1
(
4.8
3.5
)
F=36.098\approx 36^{\circ}
F=36.098≈36
∘
Answer:
36
Step-by-step explanation:
What is the equation of the line that passes through the point (−1,−1) and has a slope of −6?
Answer: y= -6x -7
Step-by-step explanation:
Point slope formula : y-y1=m(x-x1)
y- (-1)=-6(x- (-1))
y+1= -6(x+1)
y+1= -6x-6
y+1-1=-6x-6-1
y=-6x-7
Standard from 6x+y=7
The value of x in the expression 2x + 3 = 13 is
Answer:
B
Step-by-step explanation:
get x by itself
2x+3=13 - subtract 3 from both sides
2x=10 - divide each side by 2
x=5
please help me the first person gets the brainiest
One axis is used for kilograms, the other for pounds. When the x-axis is kilograms, the line includes points (1, 2.2), (2, 4.4), and (3, 6.6). The graph is a straight line that passes through the origin. The line is straight because unit conversions are proportional.
A graduate student is performing a study on a new antidepressant. The drug is supposed to reduce depression, but the graduate student realizes that it may do nothing or even increase depression, so she decides to formulate nondirectional hypotheses and conduct a two-tailed test. First, she uses mu_general population to denote the average score on the depression inventory for the population of all depressed people, and mu_antidepressant to denote the average score on the depression inventory for the population of depressed people who take the new antidepressant. She knows that the average score for all depressed people is mu_general population = 25, with a standard deviation of sigma = 6. The graduate student identifies the null and alternative hypotheses as: H_0: mu_antidepressant = mu_general population H_1: mu_antidepressant notequalto mu_general population The sample of 36 depressed people who tried out the new antidepressant scored an average of 23.3. Since the graduate student knows the standard deviation of the scores on the depression inventory for the population of people who are depressed, she intends to use a hypothesis test that uses the z-score of the sample mean as the test statistic (also known as the z test). First, she wants to make sure all the required assumptions are satisfied. Which of the following conditions is not a required assumption for the z test?
The scores on the depression inventory follow a normal distribution or the sample size is large (at least 30).
The standard deviation of the scores on the depression inventory is the same for those who take the antidepressant and those who don't.
Each observation is independent of every other observation.
The sample size must be very large.
Members of the sample are selected randomly.
Use the Distributions tool to find the critical region for alpha = .05. The critical z-scores (the values for z-scores that separate the tails from the main body of the distribution, forming the critical regions) are_______
Calculate the z statistic, and use the Distributions tool to evaluate the null hypothesis. The z statistic is______ The z statistic_______ lie in the critical region for a two-tailed hypothesis test. Therefore, the null hypothesis is______ .
Answer:
Step-by-step explanation:
From the given information:
The null and the alternative hypothesis is:
[tex]H_o: \mu_{antidepressant}= \mu_o[/tex]
[tex]H_1: \mu_{antidepressant}\ne \mu_o[/tex]
The population mean = 25
The sample mean = 23.3
sample size n = 36
standard deviation = 6
From the following conditions given; the condition that is not required is:
[tex]\text{The sample size must be very large}[/tex]
Since the sample size is 30, we do not need the condition and it's enough for the Z test provided that the population is not normally distributed. If the population is distributed normally, then any sample size is valid:
Then, the test statistics can be computed as follows:
[tex]Z = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{23.3 - 25}{\dfrac{6}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{23.3 - 25}{\dfrac{6}{6} }[/tex]
[tex]Z = -1.7[/tex]
At the level of significance 0.05
Since the test is two-tailed, the critical value [tex]Z_{\alpha/2} = Z_{0.025} = 1.96[/tex]
Provided that the Z value is not less than the critical value;
Then, we fail to reject the null hypothesis.
We conclude that there is no enough evidence that the drug reduces depression.
Everyone thought that Martha Mathy was trying to start a new fashion trend when she started wearing socks that did not match. her "look" started to catch on, and pretty soon all the kids at her school were wearing mixed-up socks, too. Rita Writer, a reporter for the school paper, interviewed Martha about the new sock trend. " Wat gave you the idea to wear mismatched socks?" Rita Asked.
"Its simple mathematics," Martha replied. "you see, I have 18 socks at home but no two are the same. with just these 18 socks, I can create over 100 unique pairs of mismatched socks." Rita found this hard to believe, so she checked it out. Was Martha correct?
Answer:
There are 153 combinations
Combinations - any two from eighteen is given by the formula 18C2 or 18! / (2!*16!)
= 18 * 17 / 2 = 153
OK that is the maths - now the explanation
The first sock can be any of 18
The second sock can be any of 17 (one already been selected and they must be mismatched)
Therefore there are 18*17 = 306 permutations she could make
However the question asks for "combinations" not "permutations"
A green sock on the right foot and a yellow sock on the left foot is deemed to be a different "permutation" to a yellow sock on the right foot and a green sock on the left foot. HOWEVER, they are regarded as the same "combination" in both cases you have one green and one yellow sock.
Therefore for combinations we must divide the 306 permutations calculated above by 2 = 153
FYI Walton has incorrectly given you the value of 18!. That would only apply if Martha Mathy had 18 feet!
What is the solution to the equation Sqrt 2x+6-Sqrt x+4 = 1?
Answer:
its 5
Step-by-step explanation:
Graph the function
f(x)=3/4x+2
Answer:
i added the graph below :) hope this helps hun <3
Step-by-step explanation:
Area of an square is 144^2 how big is the circumstance of the square
Answer:
576
Step-by-step explanation:
That's your answer.
Aquarium World
A package shipment company recorded the number of
packages received at each of two businesses,
Aquarium World and Rare Vinyl. The line plots show
the number of packages received at each business
every day over 2 weeks.
x x
X X X X X
X X X X X X X
5
10
15
What statements about the two plots' distributions are
true?
Rare Vinyl
Choose each correct answer.
The range of packages shipped to
Aquarium World is greater than the range in
packages shipped to Rare Vinyl.
The range of packages shipped to Rare
Vinyl is greater than the range of packages
shipped to Aquarium world.
Only the distribution of the data for
packages shipped to Aquarium World is
approximately symmetrical.
The distribution of the data for packages
shipped to both business is approximately
symmetrical.
Answer:
•the range of packages shipped to rare vinyl is greater than the range of packages shipped to aquarium world.•
•The distribution of the data for packages shipped to both business is approximately symmetrical.•
Step-by-step explanation:
I took the test
What are the two possible answers for the equation Ix/5I = 3?
Answer:
Either [tex]x = -15[/tex] or [tex]x = 15[/tex].
Step-by-step explanation:
[tex]|x| = \left\lbrace \begin{aligned} & x && \text{if $x \ge 0$} \\ & -x && \text{if $x < 0$}\end{aligned}\right.[/tex].
Hence, there are two possibilities to consider:
Either [tex](x / 5) \ge 0[/tex],Or [tex](x / 5) < 0[/tex].If [tex](x / 5) \ge 0[/tex], then [tex]|x / 5| = x / 5[/tex].
Substitute into the original equation: [tex]x/ 5= 3[/tex]. Solve for [tex]x[/tex]: [tex]x = 15[/tex].
Important: verify that the solution [tex]x = 15[/tex] meet the assumption [tex](x / 5) \ge 0[/tex]. Indeed, [tex](x / 5) = (15 / 5) = 3[/tex] and is indeed non-negative. Hence, the solution [tex]x = 15\![/tex] is valid.
On the other hand, if [tex](x / 5) < 0[/tex], then [tex]|x / 5| = - x / 5[/tex].
Substitute into the original equation: [tex](-x / 5) = 3[/tex]. Solve for [tex]x[/tex]: [tex]x = -15[/tex].
Similarly, verify that the solution [tex]x= - 15[/tex] satisfies the current assumption that [tex](x / 5) < 0[/tex]. Indeed, this assumption is met, and [tex]x = -15[/tex] is also a valid solution.
completely the equation 2(x+5)=11
Companies use employee training for various reasons, including employee loyalty, certification, quality, and process improvement. In a national survey of companies, BI Learning Systems reported that 56% of the responding companies named employee retention as a top reason for training. Suppose 38% of the companies replied that they use training for process improvement and for employee retention. In addition, suppose that of the companies that use training for process improvement, 89% use training for employee retention. A company that uses training is randomly selected. a. What is the probability that the company uses training for employee retention and not for process improvement
Answer:
0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement
Step-by-step explanation:
56% employee retention.
38% for process improvement. Of those, 89% for employee retention.
a. What is the probability that the company uses training for employee retention and not for process improvement
The 56% is composed by:
x of 100 - 38 = 72%(not for process improvement)
89% of 38%(for process improvement).
We want to find x. So
[tex]0.72x + 0.89*0.38 = 0.56[/tex]
[tex]0.72x = 0.56 - 0.89*0.38[/tex]
[tex]x = \frac{0.56 - 0.89*0.38}{0.72}[/tex]
[tex]x = 0.3081[/tex]
0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement
-4 = r divided by 20 − 5
Solve for R
Answer:
20
Step-by-step explanation:
Simplify both sides of the equation.
−4= r 20 −5 −4= 1 /20 r+−5 −4= 1 /20 r−5
Flip the equation.
1 /20 r−5=−4
Add 5 to both sides.
1 /20 r−5+5=−4+5
1 /20 r=1
Multiply both sides by 20.
20*( 1 /20 r)=(20)*(1)
r=20
Aramaic sequence how do you find the term
Cookies are sold singly or in packages of 8 or 24. With this packaging, how many ways can you buy 48 cookies?
Answer:
12
Step-by-step explanation:
this was right got the question wrong when I first did it
In "12 ways" you can 48 cookies. A complete solution is provided below.
According to the question,
Packages having,
= 8 or 24
Firstly we choose,
8 cookies packages 6 or,24 cookies packages 2 or,One 24 cookies packages remaining three 8 cookies packages.hence,
→ The total ways you can buy 48 cookies will be:
= [tex]6+2+1+3[/tex]
= [tex]12 \ ways[/tex]
Learn more:
https://brainly.com/question/3897030
15/3+30/3= how I can solve it ?
5. One side of a triangle has length 12.
2. How long is the segment that joins the midpoints of the other two sides?
b. How long would the segment joining the midpoints be if the side of the
triangle had length 10? Length 18? Length 19?
One shade of purple paint is made by mixing 2 pints of red and 5 pints of blue paint. Charley has 20 pints of blue paint. How many pints of red paint does he need to make the purple paint?
Answer:
8 pints
Step-by-step explanation:
prove that:
[tex] |x \: y \: z \\ {x \: {y \\ {z \\ yz \: zx \: xy = (y - z) \: (z - x) \: (x - y) \: (xy + yz + zx)}^{2} }^{2} }^{2} | [/tex]
Answer:
???
Step-by-step explanation:
moris code?
Answer:
c, none of the above
Step-by-step explanation:
khan
A furniture store routinely calls some customers to inquire about their buying experience in the showroom, the delivery and setup, and their overall satisfaction with
purchase. Today the calls will go to 2 homes randomly selected from last week's 5 customers. How many different groups of customers could the store call?
Answer:
10 different groups of customers could the store call
Step-by-step explanation:
Given the data in the question;
calling two (2) homes out of last week's five (5) customers;
so, there are 5 customers from last week and todays call needs to go to 2 customers randomly;
hence, Total group will be;
[tex]\left[\begin{array}{ccc}5\\2\\\end{array}\right][/tex] = 5! / ( 2! × ( 5 - 2 )!
= 5! / (2! × 3! )
= 10
Therefore, 10 different groups of customers could the store call
a student earned 44 out of 50 points on the last test. what percent correct did the student earn
Answer:
88%
Step-by-step explanation:
44/50 = 88/100 = 88%
88% is the answer ❤️❤️❤️❤️
Find the cardinal number of 200, 201,202,203,...,1099
Answer:
there is a thing called you can use that
Step-by-step explanation:
help please please guys
Answer:
Sorry... I don't understant...
In a class of pupils, 11 play the flute and piano.
10 play the flute only.
5 play the piano only.
3 play neither instrument.
How many pupils are in the class?
Answer:
The answer is 29
Step-by-step explanation:
11+10+5+3=29
based on your understanding about matendo
activities
LEARNING ACTIVITY 1
horizontal, vertical or diagonal The first letter of your answer is given already.
hank for the four parts of a typical mathematical system using Word Hunt Puzzle. It will be
1. U
2. D.
3. P
4 T
U B
MNO
Y
R
F G
V
GFIED
T
V
D
D
NO
C
N
0
B
Ol
F
1
K
P
N
G
NNN
RSES
Y Y
P
ONO
WWV
V
D
T
L
B
F
w
A
N
T
5
E
EO
$
T
T
V
W
A
Z
X
0
1
5
c
G
D
LEARNING ACTIVITY 2
Determine if the following terms represent a POINT, a LINE or a PLANE
1. Tip of a ballpen
6. wall
2. Screen of a cellphone
7. Note card
3. Cable wire
8. mole
4. Laptop
9. Hair strand
5. Edge of a table
10 Edge of the desk
Answer:
what is the question? where is the diagram?
Answer these its due today
Answer:
you didn't attached it
Step-by-step explanation:
send it again
Answer:no questions here thanks for the points have a nice day
Step-by-step explanation:ACHIEVEMENTS
What is the percents of the quantity 30% of 760
Answer:
the answer is 228
Step-by-step explanation:
30% × 760 =
(30 ÷ 100) × 760 =
(30 × 760) ÷ 100 =
22,800 ÷ 100 =
228
I hope this is what you were looking for
Answer:
228
Step-by-step explanation:
30% of 760 = [tex]\frac{30}{100}*760[/tex]
= 3 *76
= 228
Rita works 1234 hours in her first week at a new job. She works 1514 hours in the second week. How many more hours does Rita work the second week?
Answer:
280
Step-by-step explanation:
1514-1234 = 280
