Answer:
28.26 mm
Step-by-step explanation:
The equation used to solve for the area of a circle is;
A=pi x r^2.
The radius is half the diameter, 6mm/2= 3mm.
A= 3.14 x 3^2
3^2= 9
3.14 x 9 = 28.26 mm
or you could just type 3.14 x (3^2) = 28.26mm
Let f(x) = 16 – x^2, g(x) = 4 – x. Find (fg)(x) and its domain.
Answer:
x+4; all real numbers except =-4
Step-by-step explanation:
f(x)/g(x) = (x2-16)/(x+4)
The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)
We can simplify by factoring the numerator:
(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)
The domain is the same as the original expression: all real numbers except x = -4
1. Jared borrowed $300 from his mother to buy an x-box 360. Jared will pay her back in 4 years with 3.5% simple interest. How much total money will he payback to his mother at the end of the 4 years? (Hint: which formula should you use simple or compound, what is the principal, what is the rate, what is the time.)
2. Jackie deposits $225 in an account that pays 4.1% interest compound annually. How much money would Jackie have in her account after 1.5 years? (Hint: which formula should you use simple or compound, what is the principal, what is the rate, what is the time.)
3. Stephanie placed $1,700 in an account that earns 6% interest compounded annually. How much money will she have in the account at the end of 48 months? (Hint: which formula should you use simple or compound, what is the principal, what is the rate, what is the time.)
Answer:
1) future value = present value x [1 + (i x n)] = $300 x [1 + (3.5% x 4)] = $342
2) using the compound interest formula:
future value = $225 x (1 + 4.1%)¹°⁵ = $238.98
Using the simple interest formula doesn't yield the same answer = $225 x [1 + (4.1% x 1.5)] = $238.84. In this case it is close due to a very short period of time and low interest rate.
3) future value = present value x (1 + i)ⁿ = $1,700 x (1 + 6%)⁴ = $2,146.21
since the interest is annual, we must convert 48 months to 4 years
what will be the 40th term in the sequence defined by an=-12+4(n-2)
Answer:
140
Explanation:
an=-12+4(n-2)
an=-12+4([40]-2)
an=-12+4(38)
an=-152-12
an=140
The 40th term in the sequence defined by aₙ= -12+4(n-2) is 140
using AP formula,
aₙ = a + (n - 1)d
where
a = first term
d = common difference
n = number of terms
Therefore,
aₙ = -12 + 4(n-2)
n = 40
a₄₀ = -12 + 4(40 - 2)
a₄₀ = -12 + 4(38)
a₄₀ = -12 + 152
a₄₀ = 140
The 40th term of the sequence is 140.
learn more about arithmetic progression here: https://brainly.com/question/22069667?referrer=searchResults
what do you think was the porpuse of this advertisement?
Answer:
The purpose of advertising is to inform the consumers about their product and convince customers that a company's services or products are the best, enhance the image of the company, point out and create a need for products or services, demonstrate new uses for established products, announce new products and programs.
Solve for x in the diagram shown.
e
A)
2.67
B)
4.5
5.625
D)
34.375
E)
225
Answer:
C
Step-by-step explanation:
I just took the USATP.
Answer:
D) 34.375
Step-by-step explanation:
I literally just took usatestprep yall need to stop putting wrong answers pls
Question 6
Ryan spent half of his weekly allowance on candy. To earn more money, his parents let him clean the windows in his house for $9. He
ended with $15. Which equation would represent this situation?
Answer:
x=6
Step-by-step explanation:
Let X = Rob's weekly allowance
If he spent 1/2 of it on candy, then he had 1/2 of it left (1/2)X
After he earned $6 for cleaning the oven, he had $9.
So,
(1/2)X + 6 = 9
(1/2)X = 3
X = 6
Find the measure of the arc or angle indicated. Assume GE is the diameter of
the circle
O 70°
0 47
O 54
O 60°
Answer: 70 degrees (i had that question got it right)
Step-by-step explanation:
2/3 divided by 5 I Need answers
Answer:
Step-by-step explanation:
7.5
Answer:
if you divide [tex]\frac{2}{3}[/tex] by 5 the answer would be [tex]\frac{2}{15}[/tex]
10 workers produce 30 complex elements in 10 days. In how many days would 5
workers produce 24 elements?
Given:
10 workers produce 30 complex elements in 10 days.
To find:
The number of days, in which 5 workers produce 24 elements.
Solution:
According to the question, let as assume
[tex]n_1=10[/tex]
[tex]w_1=30[/tex]
[tex]d_1=10[/tex]
[tex]n_2=x[/tex]
[tex]w_2=24[/tex]
[tex]d_2=5[/tex]
where, n is number of workers, w is work done, and d is number of days.
We have, a formula,
[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]
Substituting the values in the above formula, we get
[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]
[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]
Isolate variable x.
[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]
[tex]\dfrac{240}{15}=x[/tex]
[tex]16=x[/tex]
Therefore, the required number of days is 16.
In October of 2019, Gallup asked a random sample of 1,506 Americans which of two approaches to punishing murder they thought was better, the death penalty or life without possibility of parole. For the first time since Gallup began asking the question in 1985, a majority of Americans now say life imprisonment is a better approach for punishing murder than is the death penalty. According to the 2019 Gallup death-penalty poll, 60% percent of Americans asked to choose whether the death penalty or life without possibility of parole "is the better penalty for murder" chose the life-sentencing option. 36% favored the death penalty.
Required:
a. Find a 95% confidence interval for the proportion adults in the US that now believe life imprisonment is a better approach for punishing murder.
b. Interpret your interval above in the context of this problem.
c. Use your interval to find the margin of error associated with this confidence interval.
d. If we increase the level of confidence to 98%, will the interval be wider or narrower?
Answer:
a
The 95% confidence interval is [tex]0.5753< p <0.62474[/tex]
b
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
c
The margin of error is [tex]E = 0.02474 [/tex]
d
The confidence interval becomes wider
Step-by-step explanation:
From the question we are told that
The sample size is n = 1506
The sample proportion is [tex]\^ p = 0.60[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } [/tex]
=> [tex]E = 0.02474 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.60 - 0.02474 < p <0.60 + 0.02474[/tex]
=> [tex]0.5753< p <0.62474[/tex]
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
Generally the level of confidence varies directly with the critical value of [tex]\frac{\alpha }{2}[/tex] and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider
PLEASE HELP ME! ;)
What is the result when the number 20 is decreased by 10%?
Answer:
18 would be the number
Step-by-step explanation:
plz mark B R A I N L I E S T
Answer:
I think the answer is 18
Step-by-step explanation:
20-10%=18
Evaluate and simplify the expression
when x= 3 and y = 5.
2y + 3(x - y) + x2 = [ ? ]
Answer:
13
Step-by-step explanation:
x = 3 & y = 5
2y + 3(x - y) + x² = 2*5 + 3(3 - 5) + 3²
= 2*5 + 3*(-2) + 3²
= 10 - 6 + 9
= 4 + 9
= 13
Which answers are examples of inductive reasoning?
Select each correct answer.
John saw wild turkeys in his yard during the past 3 years. He will see wild turkeys in his yard next year.
All right triangles have a 90° angle. Triangle ABC is a right triangle. Therefore, triangle ABC has a 90° angle.
The cinema charges $5 to see a movie. Four friends are going to the cinema to see a movie. Therefore, altogether they will pay $20 to see the movie.
Mrs. Smith notices that the first 10 students who enter her class are female. Therefore, she expects that all the students in her class will be female.
A
John will see a wild turkey in his yard next year
John saw wild turkeys in his yard during the past 3 years. He will see wild turkeys in his yard next year.
and
Mrs. Smith notices that the first 10 students who enter her cla$s are female. Therefore, she expects that all the students in her cla$s will be female.
Step-by-step explanation:
Hello!
First off, what is inductive and deductive reasoning?
Inductive is when you infer off of your observations. For example, "the last three cars I passed by were white, therefore the next car will also be white". The inductive reasoning is usually a broad guess. This could be right, but it isn't factual.
Deductive is when you infer based off of facts, or confirmed information. For example, "If you get 60% on a quiz, you pa$s the quiz. John got 80% percent on his quiz, therefore he passed." It is a confirmed fact that 60% is the pas$ing grade so if John got a 80%, that is more than 60% and he passes.
I hope the examples made sense!
I wrote about explaining the options but brainly is being sensitive
Question 6 (1.25 points)
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000. A random sample of 53 lawyers selected from the city
reveals a mean annual salary of $114,000. Assume that o = $17,000, and that the
test is to be made at the 1% significance level.
What is the value of the test statistic, z, rounded to three decimal places?
A
Answer:
Test statistic Z= 1.713
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
Step-by-step explanation:
Step(i):-
A researcher wants to test if the mean annual salary of all lawyers in a city is
different from $110,000
Mean of the Population μ = $110,000
Sample size 'n' = 53
Mean of the sample x⁻ = $114,000.
standard deviation of the Population = $17,000,
Level of significance = 0.01
Null hypothesis :
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
H₀: x⁻ = μ
Alternative Hypothesis : x⁻ ≠ μ
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{114000-110000}{\frac{17000}{\sqrt{53} } }[/tex]
Z = 1.7130
Tabulated value Z = 2.576 at 0.01 level of significance
The calculated Z- value = 1.7130 < 2.576 at 0.01 level of significance
Null hypothesis is accepted
There is no difference between the mean annual salary of all lawyers in a city is different from $110,000
Find the slope for the line that passes thru the points (-2, 7) and (4, 18)
Answer:
[tex]m=\frac{11}{6}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, 7)
Point (4, 18)
Step 2: Solve for slope m
Substitute: [tex]m=\frac{18-7}{4+2}[/tex]Subtract/Add: [tex]m=\frac{11}{6}[/tex]Answer:
dkdkfdodffffdsddddddddd
Phones collected from a conferences are labeled 1 through 40. What is the probability that the conference speaker will choose a number that is not a multiple of 6?
Give your answer as a fraction.
Answer:
15/100
Step-by-step explanation:
6 multiples of 6 between 0-40 so we find the amount 40 goes into 100, which is 2.5, then multiply 6 by 2.5 to get 15, meaning the possibility is 15%, or 15/100
Answer: 17/20
Step-by-step explanation:
There are 6 multiples of 6 in the range 1 to 40, namely 6, 12, 18, 24, 30, 36. So the probability of the speaker choosing one of these multiples is 640. Therefore, by the complement rule, the probability of not choosing a multiple of 6 is 1−640=3440. Simplify to 17/20
Find the equation of the line.
—————
The line is parallel to y =-6/7x +1 and passes through the point (-7,-3).
—————
The equation of the line is y=
Answer:
y = [tex]-\frac{6}{7}[/tex] x - 9
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercept
m = [tex]-\frac{6}{7}[/tex]
y - (- 3) = [tex]-\frac{6}{7}[/tex] [x - (- 7)]
y + 3 = [tex]-\frac{6}{7}[/tex] (x + 7)
y + 3 = [tex]-\frac{6}{7}[/tex] x - 6
y = [tex]-\frac{6}{7}[/tex] x - 9
I GIVE CROWN
HELP ONLY SERIOUS HELP NOT FOR POINTS
Jose uses 1/5 cup of red paint for every 3/5 cup of blue paint to make purple paint. Enter the number of cups of red paint Evelyn uses for 1 cup of blue paint.
Please help this is due tomorrow!!
Select the correct answer
Which statement best describes the graphed function?
ILL GIVE 15 PTS PLZ
Answer: the answer is a
Step-by-step explanation: learned about it in 9th grade
Answer:
it's a. the function has a relative maximum at (-2,4) and a relative minimum at (2,-4).
24 = 3(n–5)
What is the answer
Step-by-step explanation:
24=3n-15 or,25+15=3n or,39=3n or,39/3=n or,n=13 therefore the value of n is 13. I think this answer is helpful for you
Answer: n = 13
Step-by-step explanation:
24=3(n-5) - First distribute the 3 to the n and the 5. Which you would than get 3n and -15
24=3n-15 - Now add the 15 to both sides which would cause it to cancel out on the left side of the equal side.
39=3n - Now divide the 3 from 3n on both sides of the equal side.
n=13 - Once you do that you will get n = 13. That is your answer!
Please help!!!!!!!!!!
Step-by-step explanation:
3/1 x 5/6 = 15/6 = 2 3/6 = 2 1/2
answer is C
What is 2s + 5 > 49 ?
Answer:
s>22
Step-by-step explanation:
2s>49−5
2s>44
s>44/2
s>22
Write an explicit formula for an, the nth term of the sequence 19,24,29
Answer:
explicit formula for an, the nth term of the sequence 19,24,29
[tex]a_1=19 ; \ a_n=a_{n-1}+5[/tex]
Step-by-step explanation:
We need to Write an explicit formula for an, the nth term of the sequence 19,24,29
In the sequence the First term a₁= 19
Common Difference d= 5
The Formula used for explicit formula is: [tex]a_1=First \ term ; \ a_n=a_{n-1}+d[/tex]
Where d is common difference and n is nth term of sequence.
So, explicit formula for an, the nth term of the sequence 19,24,29
[tex]a_1=19 ; \ a_n=a_{n-1}+5[/tex]
helppppp pleaseee!!
Evaluate the function
Answer:
10
Step-by-step explanation:
go to mathaway.com and type in the equation and when x=-6. Press show graph and it says 10. The graph is my proof.
⚠️⚠️⚠️⚠️NEED HELP MARKING PEOPLE AS BRAINLIST!
I believe its a reflection
Sorry if im wrong
Number of Certified Organic Farms in the United States, 2001–2008
Year Farms
2001 6,231
2002 6,574
2003 7,237
2004 7,211
2005 7,701
2006 8,581
2007 10,302
2008 11,796
Click here for the Excel Data File
(a) Fit three trends (linear, quadratic, exponential) to the time series. (A negative value should be indicated by a minus sign. Do not round the intermediate calculations. Round your final answers to 2 decimal places.)
(b) Use each of the three fitted trend equations to make numerical forecasts for the next 3 years. (Round the intermediate calculations to 2 decimal places and round your final answers to 1 decimal place.)
Answer:
ŷ = 739.49X + 4876.43
y = 6755.98 - 388.24x + 125.30x²
y = 5428.98(1.09)^x
B.)
Linear:
ŷ = 739.49(9) + 4876.43
y = 11531.8
Year 2010 ; x = 10
y = 739.49(10) + 4876.43
y = 12271.3
Year 2011 ; x = 11
y = 739.49(11) + 4876.43
y = 13010.8
Quadratic :
Year 2009 ; x = 9
y = 6755.98 - 388.24(9) + 125.30(9^2)
y = 13411.1
Year 2010 ; x = 10
y = 6755.98 - 388.24(10) + 125.30(10^2)
y = 15403.6
Year 2011 ; x = 11
y = 6755.98 - 388.24(11) + 125.30(11^2)
y = 17646.6
Exponential:
Year 2009 ; x = 9
y = 5428.98(1.09)^9
y = 11791.2
Year 2010 ; x = 10
y = 5428.98(1.09)^10
y = 12852.4
Year 2011 ; x = 11
y = 5428.98(1.09)^11
y = 14009.1
Step-by-step explanation:
X :
1
2
3
4
5
6
7
8
Y:
6231
6574
7237
7211
7701
8581
10302
11796
Using the online linear regression calculator :
The linear trend :
ŷ = 739.49X + 4876.43
Where x = year
With 2006 representing 1 ; and so on
Slope = m = 739.49
Intercept (c) = 4876.43
y = predicted variable
The quadratic model:
General form:
y = A + Bx + Cx²
y = 6755.98 - 388.24x + 125.30x²
The exponential model:
y = AB^x
y = 5428.98(1.09)^x
B.) Next three years :
Year 2009 ; x = 9
Year 2010 ; x = 10
Year 2011 ; x = 11
Linear:
ŷ = 739.49(9) + 4876.43
y = 11531.8
Year 2010 ; x = 10
y = 739.49(10) + 4876.43
y = 12271.3
Year 2011 ; x = 11
y = 739.49(11) + 4876.43
y = 13010.8
Quadratic :
Year 2009 ; x = 9
y = 6755.98 - 388.24(9) + 125.30(9^2)
y = 13411.1
Year 2010 ; x = 10
y = 6755.98 - 388.24(10) + 125.30(10^2)
y = 15403.6
Year 2011 ; x = 11
y = 6755.98 - 388.24(11) + 125.30(11^2)
y = 17646.6
Exponential:
Year 2009 ; x = 9
y = 5428.98(1.09)^9
y = 11791.2
Year 2010 ; x = 10
y = 5428.98(1.09)^10
y = 12852.4
Year 2011 ; x = 11
y = 5428.98(1.09)^11
y = 14009.1
PLEASE HELP MATH 100%: How does Newton’s Second Law apply to the field of robotics? why is this a litreal math question like i know-
what is the slope of the line
Answer:
y-mx+b
Step-by-step explanation:
Terry earns a base salary of $2100 per month. Once he reaches $40000 in total sales, he earns an additional 5% commission (salary) on the amount of sales over $40000. Let s be the amount of his total sales for the month and M(s) be the amount of his salary for the month. (For instance, if he had sales of $42000 for the month, he would earn a salary of $2100 and 5% of $2000, since $42000 is $2000 more than $40000.)
Answer:
$4200Step-by-step explanation:
Step one:
given data
we are told that Terry's base salary is $2100 per month.
in addition 5% on sales greater than $40000.
let the monthly salary be M(s)
and let "s" be the amount of sales made
his monthly commission =0.05s
Step two:
The expression for his monthly earning is given as
M(s)=0.05s+2100 where s>40000
hence for a month when s=42000
M(s)=0.05(42000)+2100
M(s)=2100+2100
M(s)=4200
Therefore for an instance when s=42000 his earnings for the month will be $4200