Answers
Related Questions
What is the sum of the series 18 E n=4 (n+1) ^2? 1,239 2,415 2,440 2,469
Answers
9514 1404 393
Answer:
(c) 2440
Step-by-step explanation:
The sum of the squares of numbers 1 .. n is ...
s(n) = n(n +1)(2n +1)/6
You want the sum of squares from 5 to 19. We can compute that from ...
s(19) -s(4) = (19(20)(39) -4(5)(9))/6 = (14820 -180)/6 = 2440
Answer:
C. 2440Step-by-step explanation:
hope it helps u too
The playground director has a total of
24 basketballs and footballs. He has
6 more footballs than basketballs, How
many of each does he have?
Answers
Answer:
9 basketballs
15 footballs
Step-by-step explanation:
The number of basketballs will be y.
The number of basketballs will be y + 6.
y + y + 6 = 24
2y + 6 = 24
2y + 6 - 6 = 24 - 6
2y = 18
2y ÷ 2 = 18 ÷ 2
y = 9
y + 6
9 + 6 = 15
A cosmetics salesman earns a basic wage of $2000 per month plus 10% commission on all sales he makes. Calculate his total wage for the month when he sold $89,000 worth of cosmetics.
Answers
A rancher has 360 yards of fencing with which to enclose two adjacent rectangular corrals, one for horses and one for cattle. A river forms one side of the corrals. If the width of each corral is x yards.
Required:
a. Express the total area of the two corrals as a function of x.
b. Find the domain of the function.
c. Determine the dimensions that yield the maximum area.
Answers
Answer:
a) A(x) = 360*x - 3*x²
b) The Domain of the function is ( 0 : ∞ )
c) x = 60 yards
y = 180 yards
c) A(max) = 10800 yd²
Step-by-step explanation:
Two rectangular corrals, with sides y and x ( y is the side parallel to the river) having a river as one side of the corrals means:
L length to be fenced
L = y + 3*x 360 = y + 3*x y = 360 - 3*x
The total areaof the two corrals as a function of x is
A(t) = x*y as y = 360 - 3*x by substitution we get
A(x) = x * ( 360 - 3*x)
A(x) = 360*x - 3*x²
Tacking derivatives on both sides of the equation we get:
A´(x) = 360 - 6*x A´(x) = 0 360 - 6*x = 0
x = 60 yards
and y = 360 - 3*x y = 360 - 180 y = 180 yards
A(max) = 60*180 = 10800 yd²
To find out if the value x = 60 is the x value for a maximum of A we go to the second derivative
A´´(x) = - 6 A´´(x) < 0 then there is a maximum value for function A in x = 60
The Domain of the function is ( 0 : ∞ )
Which of the following fraction pairs are equivalent?
Answers
Answer:
8/12 and 12/18
Step-by-step explanation:
8/12 and 12/18
both equal 2/3
What translation maps ABC to A'B'C'?
Answers
High school students across the nation compete in a national financial capability challenge exam. students who score in the top 5 percent get recognized publically for their achievement by the Dept of Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?
Answers
Answer:
2
Step-by-step explanation:
Follow the 68-95-99.7 rule
The answer is 2 standard deviations
Find the measure of ∠BAC. Create another angle with the same measure. Measure the new angle to verify that it has the same angle measure. Take a screenshot of your work, and paste it below.
Answers
Answer:
The position and orientation of the new angle may vary, but it should have the same angle measure as ∠BAC
.Step-by-step explanation:
The measure of the angle is determined and the image is attached with the answer.
What is an Angle ?An angle is formed by two rays having a common end point.
The angle BAC is of certain measure.
To determine the value of the angle another angle is drawn in following steps
1. Draw a straight line XY
2. With an compass draw an arc of any length on BAC and on the new straight line XY keeping tip of the compass on the end points A and X.
3. Measure the point at which the arc cuts the angle BAC from the point at which it intersects AC and with the same measure , keeping the point of the compass on the point where the arc intersected XY ,cut an arc on the arc.
4. The intersecting point Z of the arc is joint to X
5.The angle ZXY is measured , and this is the value of the angle BAC.
The image is attached with the answer.
To know more about Angle
https://brainly.com/question/7116550
#SPJ2
what is the area of the figure below
Answers
7 tikes 22 = 156
6 times 6 = 36
Answer:
190 in²
Step-by-step explanation:
Cut the shape into simpler ones:
A=6 x 6= 36 in²
A=7x22= 154 in²
A=36 + 154= 190 in²
Find the length of X ( IN THE PICTURE)
Answers
Answer:
x=3
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
x 4
----- = -----------
4.5 6
Using cross products
6x = 4.5 * 4
6x =18
Divide by 6
6x/6 = 18/6
x = 3
PLEASE HELP ME WILL GIVE BRAINLIEST
Answers
Answer:
Reason 5
Step-by-step explanation:
Reason 1 and 2 are Given
Reason 3 is Reflexive
Reason 4 is Side-Side-Side congruency
Answer:
Reason 5
Step-by-step explanation:
It helps to know what CPCTC means and how it's used.
CPCTC means "corresponding parts of congruent triangles are congruent."
To use it, you must first either prove two triangles to be congruent or be given that two triangles are congruent.
Once you have the congruent triangles, then you state that two corresponding parts of those triangles are congruent, and you use CPCTC as the reason.
In step 4, the triangles are proven congruent by SSS.
Then CPCTC can be used as reason 5 for stating that the corresponding angles A and C are congruent.
Round 51,939 to the nearest thousands
Answers
Answer:
50,000
Step-by-step explanation:
in my opinion I would think this would be the answer because you are rounding to the nearest 10,000
if for a dog 1 year is 7 ears for them, how many hours in 24 hours is one day for dogs?
Answers
Answer:
168hrs in division terms of every 1 year x 7 etc...
It will always be 24hrs nothing changes set of units to same units.
However because the equivalent to a same length of life as human is 1/7 we can do the reciprocal = 7 and do 24 x 7 = 168 hrs, but as many younger and healthy dogs eat and sleep the same as humans then equivalent would be not a good way to compare a dogs life.
Longer life breeds like Labrador or mixed breed dogs if walked at least 4 times a day and away from other dogs and all day young kids can live older than 20 and have actually be more compared to 4-5 years and so the comparison would be like 96 hrs or 120 hrs, but hours stay 24 a day for all animals as units don't change same units. Day represents a day and a year represents sun rise to sun fall to sun rise again x 365.
Need help ASAP!! Giving brainliest!
Answers
no spam pls
for which x is f(x)=-3
1. -7
2.-4
3. 4
4. 5
Answers
9514 1404 393
Answer:
(a) -7
Step-by-step explanation:
You are given f(x) = -3. Look for -3 in the f(x) column. (You will find it in the first row.)
You want the corresponding value of x. It will be in the first row of the x column. The value there is -7.
The value of x for f(x) = -3 is -7.
Which of the following is not an example of a parent function?
y=x
y=2x^3
y=1/2
y=2^x
Answers
9514 1404 393
Answer:
(b) y=2x^3
Step-by-step explanation:
The function y=2x^3 is an example of the parent function y=x^3 being vertically scaled by a factor of 2. As such, it is not the parent function.
_____
Additional comment
A parent function is one that has not been translated or scaled in any way. One could argue that the parent function of the form y=constant is y=1, so that the function y=1/2 has been scaled by a factor of 1/2. In this problem, we recognize the parent function y=x^3 has clearly been scaled to get y=2x^3, so the latter is not an example of a parent function.
If this is a "check all that apply" question, then y=1/2 is another reasonable answer.
Answer:(b) y=2x^3
Step-by-step explanation:
I need help pleaseee
Answers
Answer:
7
Step-by-step explanation:
refer to solution in picture
Darla decides to buy books and magazines with her money. Books cost $16 each and magazines cost $8 each. Write a function that shows the function of the total money that she spends.
Answers
Answer:
m=16x+8y
Step-by-step explanation:
let the amount of money she spend be 'm'
m=16x+8y
Answer:
a=16x+8y
Step-by-step explanation:
Let the amt of money she spends be a.
hope it helps!!!
If f(x) = - 2x +5 and g(x)=x2-1, then f(-3)+g(2) =
Answers
Answer:
[tex]{ \tt{f(x) = - 2x + 5}} \\ { \boxed{ \bf{f( - 3) = - 2( - 3) + 5 = 11}}} \\ \\ { \tt{g(x) = {x}^{2} - 1}} \\ { \boxed{ \bf{g(2) = {2}^{2} - 1 = 3}}} \\ f( - 3) + g(2) = 11 + 3 \\ = 14[/tex]
Which is the graph of the parent function f(x) = x2?
Answers
Answer:
it should look like a U shape. Its called a parabola
(0,0) is the bottom center.
Step-by-step explanation:
A group of people were asked if they had run a red light in the last year. 315 responded "yes", and 190 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
Give your answer as a fraction or decimal accurate to at least 3 decimal places
Answers
Answer:
0.624
Step-by-step explanation:
Number who have run a red light = 315
Number who haven't run a red light = 190
From the data :
The total number of people sampled = total possible outcome = (315 + 190) = 505
Selecting a person at random, probability that the selected person has run a red light :
P = required outcome / Total possible outcomes
Required outcome = Number who have run a red light = 315
P(having run a red light) = 315 / 505 = 0.624
Find the 22nd term of the arithmetic sequence whose common difference is d =3 and whose first term is a_1=-20
Answers
f(n) = 1 + 3(n-1) = 1 + 3n - 3 = 3n -2
f(22) = 3(22)-2 = 66-2 = 64
Find the difference quotient of f; that is, find f(x+h)-f(x) , h ≠ 0 for the following function
f (x)=6x+8
f(x+h)-f (x)/h =
Answers
Find the median and mean of the data set below: 6 , 37 , 2 , 38 , 1 , 3 , 46 6,37,2,38,1,3,46
Answers
Answer:
Mean: 19
Median: 6
Step-by-step explanation:
MP of an article is $1400. Find the SP of that article in cents if the shopkeeper adds 13% VAT after allowing 45% discount. (100 cents =$1)
Answers
Answer:
87,010 cents is the SP.
Step-by-step explanation:
MP = $1400
VAT = 13%
Discount = 45%
so,
discount amount = 45% of MP
= 45% of $1400
= 45/100 * $1400
= 9/20 * $1400
= 9* $70
= $630
so,
MP - discount amount
= $1400 - $630
= $770(SP)
so,
VAT amount = 13% of SP
= 13% of $770
= 13/100 * $770
= $100.1
so,
SP + VAT
= $770 + $100.1
= $870.1
so,
$1 = 100 cents
$870.1 = 100*870.1
= 87,010 cents
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation:
y = 3 x squared + 2 x minus 8
Answers
Answer:
Table A
Step-by-step explanation:
y = 3x^2 +2x -8
The quadratic is in the form
y = a x^2 +bx+c
a = 3 b = 2 c = -8
Since a > 0 it opens up
The y intercept is c so the y intercept is -8
Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.)
f(x) = 8|x − 6|
f(−2) =
f(0) =
f (1/2)=
f(2) =
f(x + 1) =
f(x2 + 7) =
Answers
Step-by-step explanation:
my answer is in the image above
Pls I’ve been stuck on this
Answers
Area of a circle is pi x radius^2
Area = pi x 22 ^2
Area = pi x 484
Area = 1,519.8 mm^2
Answer:
1520.5mm²
Step-by-step explanation:
Area of a circle=πr²
π(22mm)²
π484mm²
1520.5308443374599mm²
to one decimal place
1520.5mm²
Which is the graph of the function y = 3x?
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The graph that includes the point (1, 3) will be the one that is a graph of ...
y = 3^x
Suppose you are asked to take a sample of men and women in order to measure their emotional IQ. The emotional IQ scale that you administer has a minimum of 0 and a maximum of 100, with higher scores indicating higher emotional intelligence (the range of the scale is not pertinent to the question -- I simply provide it so that you have some context in which to provide your answer). You sample 25 men and 25 women. The mean for men is 70 with a standard deviation of 10 and the mean for women is 82 with a standard deviation of 15.
Required:
What is the 99% confidence interval for the scores of men and women?
Answers
Answer:
The 99% confidence interval for the scores of men is (64.406,75.594).
The 99% confidence interval for the scores of women is (73.609,90.391).
Step-by-step explanation:
We have the standard deviations for the sample, which means that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797.
For men:
Standard deviation of 10.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.797\frac{10}{\sqrt{25}} = 5.594[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 70 - 5.594 = 64.406
The upper end of the interval is the sample mean added to M. So it is 70 + 5.594 = 75.594
The 99% confidence interval for the scores of men is (64.406,75.594).
For women:
Standard deviation of 15.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.797\frac{15}{\sqrt{25}} = 8.391[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 82 - 8.391 = 73.609
The upper end of the interval is the sample mean added to M. So it is 82 + 8.391 = 90.391
The 99% confidence interval for the scores of women is (73.609,90.391).