Answers
Answer:
18√91 +54√3
Step-by-step explanation:
Name the point at the top of the pyramid "A", the point at the left front corner "B", and the one in the center of the hexagonal base "C". Then right triangle ABC is shown. The "base" BC of that triangle is the same measure as the front edge (6), because the diameter of a regular hexagon is equal to twice the side length.
Using the Pythagorean theorem, we can find the face edge length to be ...
AB^2 = BC^2 +AC^2
AB^2 = 6^2 +8^2 = 100
AB = √100 = 10
If we call the midpoint of the front edge "D", then we need to find the length of AD in order to determine the face area. Again, we can use the Pythagorean theorem.
AB^2 = BD^2 +AD^2
AD^2 = AB^2 -BD^2 = 10^2 -3^2 = 91
AD = √91
The area of one of the 6 lateral faces is ...
A = (1/2)bh = (1/2)(6)√91 = 3√91
The area of one of the 6 equilateral triangles that make up the base is ...
A = (√3)/4·s^2 = (√3)/4(6^2) = 9√3
Then the total area of the pyramid is ...
total area = 6 × (face area + partial base area)
= 6(3√91 +9√3)
total area = 18√91 +54√3
Related Questions
Ugh I’m going insane trying to do this. Please help.
Answers
Answer:
y(x)=6^(x)-3
Step-by-step explanation:
Let the exponential function be y(x) = ab^(x) but since the graph is translated 3 units down, y(x) = ab^(x)-3. Now, y(0)=-2=a*b^(0)-3. a=1. The equation is nearly complete but we need b, we can find it by using the point y(1)=3. y(x)=b^(x) - 3. y(1)=3=b-3, b=6. The equation of the function is y(x)=6^(x)-3
Answer:
I agree with the first one
The mean salary of federal government employees on the General Schedule is $59,593. The average salary of 30 state employees who do similar work is $58,800 with \sigmaσσ= $1500. At the 0.01 level of significance, can it be concluded that state employees earn on average less than federal employees? What is the critical value? Round your answer to the nearest hundredths.
Answers
Answer:
Yes it can be concluded that state employees earn on average less than federal employees
The critical value is [tex]Z_{\alpha } = - 2.33[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 59593[/tex]
The sample size is n = 30
The sample mean is [tex]\= x = \$ 58800[/tex]
The standard deviation is [tex]\sigma = \$ 1500[/tex]
The significance level is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \mu = \$ 59593[/tex]
The alternative hypothesis is [tex]H_a : \mu < \$ 59593[/tex]
The critical value of [tex]\alpha[/tex] from the normal distribution table is [tex]Z_{\alpha } = - 2.33[/tex]
Generally the test statistics is mathematically evaluated as
[tex]t = \frac{\= x - \mu}{ \frac{ \sigma }{ \sqrt{n} } }[/tex]
=> [tex]t = \frac{ 58800 - 59593 }{ \frac{ 1500 }{ \sqrt{30} } }[/tex]
=> [tex]t = -2.896[/tex]
The p-value is obtained from the z-table
[tex]p-value = P(t < -2.896) = 0.0018898[/tex]
Since [tex]p-value < \alpha[/tex] , we reject the null hypothesis, hence it can be concluded that state employees earn on average less than federal employees
On dividing polynomial p(x) by a linear binomial, X - a, we get a quotien
statements must be proven true for the remainder theorem to be true
Answers
Answer:
Step-by-step explanation:
Hello, we can write
(1) p(x)=(x-a)q(x)+r
[tex]\boxed{\sf v}[/tex] True
It means that p(a)=0 * q(a) + r = r
so the first one is true.
[tex]\boxed{}[/tex] False
The second one is not to be proven true from the remainder theorem.
[tex]\boxed{\sf v}[/tex] True
For x different from a we can divide the equation (1) by (x-a).
[tex]\boxed{}[/tex] False
We cannot say anything on q(a).
[tex]\boxed{\sf v}[/tex] True
If the rest is 0 then it means that p(a) = 0
[tex]\boxed{\sf v}[/tex] True
If p(a) = 0 it means that the rest r = 0 and then p(x)=q(x)(x-a)
Thank you
22. f(x) is stretched horizontally by a factor of 2 and reflected across the x-axis. Which choice shows the correct representation of f(x) after these transformations?
Options:
A. –f(1/2x)
B. f(–2x)
C. –f(2x)
D. f(–1/2x)
Answers
Answer:
A. -f(1/2 x)
Step-by-step explanation:
Reflextion about the x-axis is
f(x) -> -f(x)
and horizontal dilation is
f(x) -> f(-x/b) where b is the factor of dilation.
so the proper answwer is
A. -f(1/2 x)
Is Statistics mathematics or science? Defend your answer.
Answers
Answer:
Statistics is a mathematical science pertaining to the collection, analysis, interpretation or explanation, and presentation of data. It is applicable to a wide variety of academic disciplines, from the physical and social sciences to the humanities.
Statistics is maths.
Why:-
Statistics is related to maths because we study, use and even consider statistic problems with reference to mathematics.
• It is mostly used to find the census, which is maths.
• It is used to find interest rates and other banking terms using statistics, which is again related to math.
• It is also used to find the average people living in a village or panchayat, which is also math.
Therefore I strongly believe that Statistics is Maths.
Thank You!
9x-5
14x+24
A
Determine the value of x.
1) x= -5.8
2) x= -7
3) x= 7
4) x= 32.2
Answers
Answer:
the answer to the question
is x=-5.8
Helppppp thxxxxxxxxxx
Answers
Answer:
F. [tex] \frac{3}{2} [/tex]
Step-by-step explanation:
[tex] \frac{a + 2b}{b} = \frac{7}{2} [/tex]
Cross multiply:
7b= 2(a +2b)
Expand:
7b= 2a +4b
Bring all common variables to 1 side:
7b -4b= 2a
3b= 2a
divide by 2 on both sides:
[tex] \frac{3}{2} b = a[/tex]
divide by b on both sides:
[tex] \frac{3}{2} = \frac{a}{b} \\ \frac{a}{b} = \frac{3}{2} [/tex]
While you can use the correlation coefficient as its own test statistic, what is the other appropriate test statistic often used to examine the significance of a correlation
Answers
Answer:
T-test
Step-by-step explanation:
Significance of correlation between two variables x and y measures the strength and direction of their relationship. This is used to make future forecasts of the behaviour of a variable under study.
Correlation coefficient can be used to measure significance of correlation, but we can also use the t-test.
T-test is a statistics that is inferential. It measures the significance of difference between the means of two groups.
T-test is the statistic of choice when carrying out hypothesis testing.
T distribution values and degrees of freedom are used to determine statistical significance.
For example the means of two samples can be compared to determine of the come from the same population
complete the equation describing how x and y are related.
Answers
Answer:
y=-2x+1
Step-by-step explanation:
The slope of the line is (y(2)-y(1))/(2-1)=(-3+1)/1=-2. The equation of the line is y=mx+(y intercept), y=-2x+1
The complete equation describes how x and y are related y=-2x+1.
We have given, the equation,
We have to determine the complete equation describing how x and y are related.
What is the formula for the slope?
The slope of the line is(m)=y2-y1/x2-x1
Where m is the slope,
Therefore we get,
(y(2)-y(1))/(2-1)
=(-3+1)/1
=-2.
The equation of the line is y=mx+(y-intercept), y=-2x+1.
To learn more about the slope visit:
https://brainly.com/question/3493733
#SPJ2
Is the following relation a function? (1 point) x y −1 −2 2 3 3 1 6 −2 No Yes
Answers
Answer:
Yes because no same x-value resulted in different y-values.
Answer:
Yes
Step-by-step explanation:
Find the value of x.
A. 3
B. 9
C. 0
D. 12
Answers
Answer:
x=3
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
3x(x+1) = 4x(x)
Divide each side by x
3x(x+1)/x = 4x(x)/x
3(x+1) = 4x
Distribute
3x+3 = 4x
Subtract 3x
3x+3-3x= 4x-3x
3 =x
Answer:
x = 3
Step-by-step explanation:
0 is a rediculas answer 9 and 12 are to big.
The lines are supposed to have a simular length:
3(3) + 4 = 13
4(3) + 3 = 15
These are the best answers that fit.
what is the area of rectangle
Answers
Answer:
Step-by-step explanation:
Which expression is equivalent to: 16x - 16
4(2x - 2)
4(4x - 16)
4(4x - 4)
Answers
Answer:
4(4x-16)
Step-by-step explanation:
If you like my answer than please mark me as brainliest
Using the distributive property you would take the 4 outside of the parentheses, and multiply it by the 4x and then by the -4 inside the parentheses. 4•4x=16x. 4•-4=16 (remembering that a negative times a positive is still a negative)
Answer is D , others say it’s 64 but I got it wrong
Answers
Answer:
Oh no I am sorry! If you want answers to be done the real way let me know
Answer:I'm so sorry for you but congrats you did get the answer right it's just the test I guess
Step-by-step explanation:
Factor quadratic plz 15x^2-4x-4=
Answers
Answer:
x = 2/3 or x = -2/5
Step-by-step explanation:
15x^2 - 4x - 4 = ?
factor the left side of the expression and set factors equal to zero:
(3x-2)(5x+2)=0
3x - 2 =0 or 5x + 2 =0
3x =2 or 5x = -2
x = 2/3 or x = -2/5
Is {(4,2),(4,-2),(9,3),(9,-3)} a function
Answers
Answer:
no
Step-by-step explanation:
If any x-value is repeated, the relation is not a function. Both x=4 and x=9 are repeated values, so this relation is not a function.
The expression −50x+100 represents the balance, in dollars, of a bank account after x months. What is the rate of change, in dollars per month, of the bank account balance?
Answers
Answer:
-50
Step-by-step explanation:
Basically get two slopes -50(1)+100 will get you 1,50 (1 is x and 50 is y since its the answer)
-50(0)+100 (0,100) Y₂-Y₁/X₂-X₁ 50-100/1-0
Rate of change per month = -$50
Is 100 a good estimate for the difference of 712 and 589? If it is, explain why it is a good estimate. If it is not, explain why it is a bad estimate.
Answers
200 would be a better guess
An initial deposit of $10000 is left in account for 5.5 years at 3.6% interest compounded continuously. What is the
final value of the account to the nearest dollar after the 5.5 years?
Answers
Answer:
11980
Step-by-step explanation:
This is simple interest.
We use the formula i=prt. Interest = price x rate x time
You just plug in your numbers, 10000 is your price, 5.5 years is the time, and 3.6% interest is rate.
Now our equation looks like this: i = 10000 x 5.5 x 0.036
(i converted the percent to a decimal)
So the interest is 1980, but the question asks for the final value, so we add the interest to the initial deposit, 1980 + 10000, and we get 11980 for our final value.
I apologize if my answer is wrong, but if it isn't I hope I helped :)
9514 1404 393
Answer:
$12,190
Step-by-step explanation:
The formula for the balance in an account where continuous compounding occurs is ...
A = Pe^(rt) . . . . where P is the principal invested at annual rate r for t years
A = $10,000e^(0.036·5.5) = $10,000e^0.198
A ≈ $12189.62 ≈ $12,190 . . . . rounded to the nearest dollar
At a local high school, the student population is growing at 12% a year. If the original population was 242 students, how long will it take the population to reach 300 students? Round to the nearest tenth of a year.
Answers
Answer: 2 years
Step-by-step explanation:
The exponential growth function is given by :-
[tex]y=A(1+r)^x[/tex] (i)
, where A = initial value , r = rate of growth and x= time period.
As per given ,
A= 242
r= 12% = 0.12
To find : t when y= 300.
Put all the values in (i)
[tex]300=242(1+0.12)^x\\\\\Rightarrow\ \dfrac{300}{242}=(1.12)^x\\\\\Rightarrow\ 1.23967=(1.12)^x[/tex]
Taking log on both sides , we get
[tex]\log (1.2396) = t \log (1.12)\\\\\Rightarrow\ 0.09328=t(0.049218)\\\\\Rightarrow t=\dfrac{0.09328}{0.049218}=\approx2[/tex]
hence, it will take 2 years.
Laura is bowling 5 games. Her first 4 scores were 135, 144, 116, and 132.
To end up with an average score of at least 136.8, what is the lowest score Laura will need in the fifth game?
Answers
Answer:
it doesnt add up. the question doesnt make sense.
Step-by-step explanation:
Answer:
157
Step-by-step explanation:
To find the average score, add all individual scores and divide the sum by the number of individual scores.
She has 5 individual scores. Let's say her scores are A, B, C, D, and E.
average score = (A + B + C + D + E)/5
Now we plug in the average and the 4 known scores for A through D, and we solve for E.
average score = (A + B + C + D + E)/5
136.8 = (135 + 144 + 116 + 132 + E)/5
E = 157
Answer: 157
Solve this inequality: 14 <-7x
Answers
Answer:
-2 > x
Step-by-step explanation:
14 <-7x
Divide each side by -7, remembering to flip the inequality
14/ -7 > -7x/-7
-2 > x
If 5x + 2 =12x- 5, then x = ?
Answers
Answer:
x = 1
Step-by-step explanation:
First, move all the variables to one side by subtracting 5x on both sides:
5x + 2 = 12x - 5
2 = 7x - 5
Add 5 to both sides:
7 = 7x
1 = x
Answer:
x=1
Step-by-step explanation:
5x + 2 =12x- 5
Subtract 5x from each side
5x-5x + 2 =12x-5x- 5
2 = 7x-5
Add 5 to each side
2+5 = 7x-5+5
7 = 7x
Divide each side by 7
7/7 = 7x/7
1 =x
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5 . If there were 4545 no votes, what was the total number of votes?
Answers
Answer:
The total number of votes= 9999
Step-by-step explanation:
The ratio of vote specifically the ratio of yes to no vote in a city vote is 6 to 5.
There is a total of 4545 no votes.
Yes/no = 6/5
Yes= no(6/5)
Yes= 4545(6/5)
Yes= 5454
The total number of yes votes are 5454.
The total number of votes= yes votes+ no votes
The total number of votes= 5454+4545
The total number of votes= 9999
Combine like terms. What is a simpler form of each expression? 4c-4d+8c-3d
Answers
Answer:
12c-7d
Step-by-step explanation:
[tex]4c-4d+8c-3d=0\\4c+8c=3d+4d\\12c=7d\\12c-7d[/tex]
===============================================
Explanation:
The terms 4c and 8c are one pair of like terms that combine to 4c+8c = 12c. We add 4 and 8 to get 12, then tack a 'c' at the end
The other pair of like terms are -4d and -3d. They combine to -7d for similar reasoning.
12c and -7d are not like terms, so we can't combine them and we stop here.
-----------
One way to think of combining like terms is consider simplifying 2c+3c. You could say that 2c represents having 2 cups while 3c is having 3 cups. Writing 2c+3c means we start with 2 cups and add on 3 more getting a total of 2+3 = 5 cups. Symbolically we would then write 5c. Therefore 2c+3c = 5c.
A 3-gallon jug of water costs $15.00. What is the price per quart?
Answers
Answer:
1.25 dollars per quart
Step-by-step explanation:
There are 4 quarts per gallon
3 gallons * 4 quarts/ gallon = 12 quarts
15 dollars/ 12 quarts
1.25 dollars per quart
line m in the xy-plane above is to be reflected through the x-axis. if the slope of line m is 2/3,whats is the slope of the image of line m under the reflection.
Answers
Answer: The new slope is -(2/3)
Step-by-step explanation:
Ok, we know that our line can be written as:
y = (2/3)*x + b
where b is the y-intercept, and here does not really matter.
Ok, remember that if we have a point (x, y) and we reflect it over the x-axis, the new point will be (x, -y).
For our linear equation, the point (x, y) can be written as:
(x, y = (2/3)*x + b) = (x, (2/3)*x + b)
Now, after the reflection, our point is:
(x, - ( (2/3)*x + b)) = (x, -(2/3)*x - b)
Then our new line is y = -(2/3)*x - b
The new slope is -(2/3)
Help me please…………………….
Answers
Answer:
8.7
Step-by-step explanation:
If you like my answer mark me brainliest
A population of values has a normal distribution with μ= 106.9 and σ=14.5
You intend to draw a random sample of size n=20
What is the probability that a single randomly selected value is less than 109.8?
P(X < 109.8)
How do you the probability that a sample of size n= 20 is randomly selected with a mean less than 109.8?
P(M < 109.8)
Also, I have to round the answer to the 4th decimal place. How do I do that?
Answers
Step-by-step explanation:
Find the z-score.
z = (x − μ) / σ
z = (109.8 − 106.9) / 14.5
z = 0.2
Use a chart or calculator to find the probability.
P(Z < 0.2) = 0.5793
Find the mean and standard deviation of the sampling distribution.
μ = 106.9
σ = 14.5 / √20 = 3.242
Find the z-score.
z = (x − μ) / σ
z = (109.8 − 106.9) / 3.242
z = 0.894
Use a calculator to find the probability.
P(Z < 0.894) = 0.8145
Find the next term of the sequence.
16, 9, 2, -5,
Answers
Answer: The next term is -12.
Step-by-step explanation:
16,9,2,-5
Looking at these numbers to go from 16 to 9 you will add -7 or subtract 7 . The same way you subtract 7 from 9 to get 2 and subtract 7 from 2 to get -5.
So to determine the next term subtract 7 from -7 or add -7.
-5 - 7 = -12
0r -5 + -7 = -12
[tex] 👋 [/tex] Hello ! ☺️
Step-by-step explanation:
•Find the next term of the sequence.
Let us find the interval between two successive terms:
16 - 9= 7
-7 is therefore the common différence of this sequence. (d)
Find the next term :
-5 + (-7)= -12
[tex]\boxed{\color{gold}{N = -12}} [/tex]
[tex]<marquee direction="left" scrollamount="2" height="100" width="150">💘Mynea04</marquee>[/tex]