Answer:
1472
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 19 - 14 = 5 , thus
[tex]S_{23}[/tex] = [tex]\frac{23}{2}[/tex] [ (2 × 9) + (22 × 5) ]
= 11.5 (18 + 110) = 11.5 × 128 = 1472
LOOK AT MY RECENT GIVING 100 POINTS
Answer:
ok
Step-by-step explanation:
Answer:
As you say
Step-by-step explanation:
What are the solutions to the equation x-7/x = 6
Answer:
x = - 1
Step-by-step explanation:
[tex]\frac{x-7}{x}=6\\ \\x-7=6x\\\\-7=6x+x\\\\7x=-7\\\\x=-1[/tex]
Answer:x=-7 Or x=-1
Step-by-step explanation:
x-7/x=6
(x^2-7)/x=6
Collect like terms
x^2-7=6x
Arrange the quadratic equation
x^2-6x-7=0
x^2+x-7x-7=0
x(x+1)-7(x+1)=0
(x-7)(x+1)=0
x-7=0. x+1=0
x=7 x=-1
Prob-4 Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service; two-screw type compressors, (S1 ,S2) and one-reciprocal type compressor,(R). Each compressor, at any given time, is either off (0), or on (1) . Assume that event A is denoted to reciprocal compressor (R) that is always off . Event B is denoted that at least one of the screw type of compressor is always on. Assume that all outcomes in event B are equally likely. If P(A∩B)=45% and P(A∪B)=93%. Compute the probability that all compressors are off
Answer:
The probability that all compressors are off = P(A ∩ B') = 0.18
Step-by-step explanation:
Event A is denoted to reciprocal compressor (R) that is always off.
Event B is denoted that at least one of the screw type of compressor is always on.
P(A) = Probability that the reciprocal compressor is off.
P(A') = Probability that the reciprocal compressor is on.
P(B) = Probability that at least one of the screw type of compressor is on.
P(B') = Probability that at least one of the screw type of compressor is off.
P(A ∩ B) = 45% = 0.45
P(A ∪ B) = 93% = 0.93
P(U) = P(A ∪ B) + P(A' ∩ B')
1 = 0.93 + P(A' ∩ B')
P(A' ∩ B') = 1 - 0.93 = 0.07
The probability that all compressors are off is given as P(A ∩ B')
P(A) = P(A n B') + P(A n B)
P(B) = P(A n B) + P(A' n B)
The question asks us to assume that all outcomes in event B are equally likely.
The possible outcomes in event B include
- The two compressors are on
- First compressor is on, second compressor is off
- Second compressor is on, first compressor is off
- both compressors are off
Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)
P(B) = P(A n B) + P(A' n B)
0.75 = 0.45 + P(A' n B)
P(A' n B) = 0.75 - 0.45 = 0.30
P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)
0.93 = P(A ∩ B') + 0.30 + 0.45
P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18
Hope this Helps!!!
Find the first, fourth, and eighth terms of the sequence.
A(n) = −2 ∙ 5x − 1
Answer:
lemme think brb
Step-by-step explanation:
Answer:
–50; –6,250; –3,906,250
Step-by-step explanation:
Aight so I know the answer is 105° but idk how someone got that answer. Could you help?
Firstly we need to find m<DNY
m<DNY=(60+90)÷2=75
N9w we can find m<KNY
m<KNY+m<DNY=180°(Because these are adjacent corners)
m<KNY+75°=180°
m<KNY=180°-75°
m<KNY=105°
A line with a slope of -7 passes through the points (10,v) (9,4) What is the value of V?
Answer:
-3
Step-by-step explanation:
An increase in x-value from 9 to 10 is an increase of 1 unit. The slope of -7 tells you that the corresponding change in y will by -7 units:
v = 4 -7 = -3
The value of v is -3.
_____
Alternate solutions
You can see this easily on a graph, or you can use the equation of the line. We have a point and a slope, so the point-slope form is useful.
y = m(x -h) +k
y = -7(x -9) +4
For x=10, the value of y is ...
v = -7(10 -9) +4 = -7 +4
v = -3
what is the value of (8 - 4)!?
Answer:
[tex]=24[/tex]
Step-by-step explanation:
[tex]\left(8-4\right)!\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=4!\\\eq \mathrm{Apply\:factorial\:rule}:\quad \:n!=1\cdot 2\cdot 3\cdot \ldots \cdot \:n\\4!=1\cdot \:2\cdot \:3\cdot \:4\\=1\cdot \:2\cdot \:3\cdot \:4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:2\cdot \:3\cdot \:4=24\\=24[/tex]
The required value of factorial (8 - 4)! is given as 24.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
As given in the question,
= (8 - 4)!
Simplifying the above expression,
= 4!
= 4 × 3 × 2 × 1
= 24
Thus, the required value of factorial (8 - 4)! is given as 24.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Write
22
−
1
4
in surd form
Answer:
Surd mode??
Step-by-step explanation:
Morgan is throwing a pizza party. She has 1 7/8 pounds of cheese available and she needs 1/5 pound of cheese to make each pizza. How many full pizzas can Morgan make with the amount of cheese she has?
We have been given that Morgan is throwing a pizza party. She has 1 7/8 pounds of cheese available and she needs 1/5 pound of cheese to make each pizza. We are asked to find the number of full pizzas that Morgan can make with the amount of cheese she has.
To solve our given problem, we will divide total amount of cheese by amount of cheese used to make each pizza.
[tex]\text{Number of pizzas}=1\frac{7}{8}\div \frac{1}{5}[/tex]
[tex]\text{Number of pizzas}=\frac{15}{8}\div \frac{1}{5}[/tex]
Now we will convert our division problem into multiplication problem by flipping the 2nd fraction.
[tex]\text{Number of pizzas}=\frac{15}{8}\times \frac{5}{1}[/tex]
[tex]\text{Number of pizzas}=\frac{75}{8}[/tex]
[tex]\text{Number of pizzas}=9\frac{3}{8}[/tex]
We are asked to find the number of full pizzas and we can see that Morgan can make 9 full and [tex]\frac{3}{8}[/tex] pizzas.
Since there are 9 full pizzas, therefore, Morgan can make 9 full pizzas with the amount of cheese she has.
In ΔDEF, d = 410 cm, e = 300 cm and ∠F=126°. Find the length of f, to the nearest centimeter.
Answer:
635
Step-by-step explanation:
Answer:
634.6 cm
Step-by-step explanation:
f^2 = d^2 + e^2 - 2(d)(e)cos(angle)
f^2 = (410)^2 + (300)^2 - 2(410)(300)cos(126)
f^2 = 402695 and take the square root
Find the distance between (-10,12) and (-6,-14). Round to the nearest hundredth
Answer:
26.31 units
Step-by-step explanation:
Given: Points [tex](-10,12),(-6,-14)[/tex]
To find: Distance between the given points
Solution:
Let [tex](x_1,y_1)=(-10,12)\,,\,(x_2,y_2)=(-6,-14)[/tex]
The distance formula is used to find the distance between two points [tex](x_1,y_1),(x_2,y_2)[/tex]
According to distance formula,
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{(-6+10)^2+(-14-12)^2}\\ =\sqrt{16+676}\\ =\sqrt{692}\\ =26.31[/tex]
So, distance between the given points is 26.31 units
Find the volume of a pyramid with a square base, where the perimeter of the base is
10.1
ft
10.1 ft and the height of the pyramid is
13.4
ft
13.4 ft. Round your answer to the nearest tenth of a cubic foot.
9514 1404 393
Answer:
28.5 ft³
Step-by-step explanation:
The side length of the base is 1/4 of the perimeter, so is ...
s = (10.1 ft)/4 = 2.525 ft
The area of the square base is the square of the side length, so is ...
B = s² = (2.525 ft)² = 6.375625 ft²
The volume is given by ...
V = 1/3Bh . . . . . where h is the height
V = 1/3(6.375625 ft²)(13.4 ft) ≈ 28.4778 ft³
The volume of the pyramid is about 28.5 ft³.
What would be the coordinates of the image if this pre-image is reflected across the x-axis?
A(-2, 2), (1, 1), (3, 1), (2, 4)
B(2,-2), (-1, 1), (-3,-1). (-2,-4)
C(-2, 2), (1, -1), (3, 1). (2,4)
D(-2,-2), (-1, 1), (-3, -1) (-2,-4)
Answer: C (-2, 2), (1, -1), (3, 1). (2,4)
It will help to rotate the image so the x-axis is horizintal and the y-axis is vertical.
Step-by-step explanation:
Imagine the prefigure twirling on a parallel bar like a gymnast.
When it's up-side down the point that was at (1,1) flips to (1. -1) and the point that was at (3 -1) flips to (3, 1)
As you chech your choices, that knocks out most of the other possibilities.
But you should still verify the other cocorinates.
Hint: if the reflection is across the x-axis, the x values will be the same in the pre-image and the reflection, the y- values will change accorfing to their distance from the x-axis.
esearchers believed that an increase in lean body mass is associated with an increase in maximal oxygen uptake. A scatterplot of the measurements taken from 18 randomly selected college athletes displayed a strong positive linear relationship between the two variables. A significance test for the null hypothesis that the slope of the regression line is 0 versus the alternative that the slope is greater than 0 yielded a p-value of 0.04.
Which statement is an appropriate conclusion for the test?
(A)The p-value of 0.04 indicates that 4% ofthe variation in maximal oxygen uptake for college athletes can be explained by the amount of lean body mass.
(B) The p-value of0.04 indicates that 16% of the variation in maximal oxygen uptake for college athletes can be explained by the amount of lean body mass.
(C)The strong positive linear relationship displayed in the scatterplot along with a p-value less than 0.05 indicates that college athletes with higher lean body mass tend to have higher maximal oxygen uptake.
(D)The strong positive linear relationship displayed in the scatterplot along with a p-value less than 0.05 indicates that an increase in lean body mass causes an increase in maximal oxygen uptake for college athletes.
(E) A p-value less than 0.05 indicates that the relationship displayed in the scatterplot is likely due to chance, and that there is no statistical evidence ofa relationship between lean body mass and maximal oxygen uptake for college athletes.
Answer:
The correct option is (D).
Step-by-step explanation:
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
A small p-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (H₀), so you discard H₀.
A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
The hypothesis is defined as follows:
H₀: The slope of the regression line is 0, i.e. β = 0.
Hₐ: The slope of the regression line is greater than 0, i.e. β > 0.
A scatter-plot of the measurements taken from 18 randomly selected college athletes displayed a strong positive linear relationship between the two variables; lean body mass and maximal oxygen uptake.
The significance level of the test is, α = 0.05.
The p-value of the test is, p-value = 0.04
As the p-value = 0.04 < α = 0.05, we reject the null hypothesis.
So, it can be concluded that there is a statistical evidence of a relationship between lean body mass and maximal oxygen uptake for college athletes.
Since the scatter-plot shows a strong positive linear relationship, it implies that as the an increase in lean body mass causes an increase in maximal oxygen uptake for college athletes.
Thus, the correct option is (D).
Hi guys, Can anyone help me with this tripple integral? Thank you:)
I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.
We have to turn K into the limits of integration on our integrals.
Clearly 0 is the lower limit for all three of x, y and z.
Now we have to incorporate
x+y+z ≤ 1
Let's do the outer integral over x. It can go the full range from 0 to 1 without violating the constraint. So the upper limit on the outer integral is 1.
Next integral is over y. y ≤ 1-x-z. We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y. So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.
Similarly the inner integral goes from z=0 to z=1-x-y
We've transformed our integral into the more tractable
[tex]\displaystyle \int_0^1 \int_0^{1-x} \int _0^{1-x-y} (x^2-z^2)dz \; dy \; dx[/tex]
For the inner integral we get to treat x like a constant.
[tex]\displaystyle \int _0^{1-x-y} (x^2-z^2)dz = (x^2z - z^3/3)\bigg|_{z=0}^{z= 1-x-y}=x^2(1-x-y) - (1-x-y)^3/3[/tex]
Let's expand that as a polynomial in y for the next integration,
[tex]= y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3[/tex]
The middle integration is
[tex]\displaystyle \int_0^{1-x} ( y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3)dy[/tex]
[tex]= y^4/12 + (x-1)y^3/3+ (2x+1)y^2/2- (2x^3+1)y/3 \bigg|_{y=0}^{y=1-x} [/tex]
[tex]= (1-x)^4/12 + (x-1)(1-x)^3/3+ (2x+1)(1-x)^2/2- (2x^3+1)(1-x)/3[/tex]
Expanding, that's
[tex]=\frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1)[/tex]
so our outer integral is
[tex]\displaystyle \int_0^1 \frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1) dx[/tex]
That one's easy enough that we can skip some steps; we'll integrate and plug in x=1 at the same time for our answer (the x=0 part doesn't contribute).
[tex]= (5/5 + 16/4 - 36/3 + 16/2 - 1)/12[/tex]
[tex]=0[/tex]
That's a surprise. You might want to check it.
Answer: 0
please Please answer this correctly I have to finish this today as soon as possible
Estimate the measure of this angle within 10°.
Answer:
about 173⁰
Step-by-step explanation:
because it's very close to 180⁰ but isnt it, I'd say between 170 and 180
173 to be safe
What Value if n makes the equation true
1/2(n + 4)=6
N=8
1/2 x (8+4) = 6
1/2 x 12 = 6
Giving brainliest to CORRECT answer.
Answer:
B) (-3,4)
Step-by-step explanation:
I graphed the function on the graph below to show you that vertex of the function.
If this answer is correct, please make me Brainliest!
The answer is B because it appears on my graphing calculator as this.
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer: Exact Form:
(Radical 5) over 8
Decimal Form:
0.27950849
…
0.27950849
…
Step-by-step explanation:
Answer:
C. (√5)/8
Step-by-step explanation:
[tex]\sqrt{\dfrac{5}{64}}=\dfrac{\sqrt{5}}{\sqrt{64}}=\boxed{\dfrac{\sqrt{5}}{8}}[/tex]
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
0 (0,-5)
0 (0, -3)
O (0,3)
0 (0,5)
Answer:
(0,5)
Step-by-step explanation:
f(x) = x^2 + 3x + 5
The y intercept is when x =0
f(0) = 0 + 3*0 + 5
f(0) = 5
(0,5)
The surface area of a triangular prism is 34 square inches. What is the surface area of a similar prism with dimensions that are 3 times as great as the original prism?
Answer:
306 square inches
Step-by-step explanation:
The surface are of a triangular prism is given as:
A = ab + 3bh
where a = Length of side
b = base length
h = height of the prism
If the dimensions are 3 times as great, that means a becomes 3a, b becomes 3b and h = 3h
Therefore, the new surface area becomes:
A1 = (3a * 3b) + 3(3b * 3h) = 9ab + 27bh
A1 = 9(ab + 3bh)
=> A1 = 9A
The surface area of the initial prism is 34 square inches, therefore, the surface area of the new prism will be:
A1 = 9 * 34 = 306 square inches
I need three dollars seventy-eight cents more to buy a pair of tennis shoes. The tennis shoes cost eight dollars less the one hundred thirty dollars. How much money do I have presently?
Answer:
$118.22
Step-by-step explanation:
Subtract $130.00-$8.00= $122.00
Then subtract $122.00- $3.78 = $118.22
Answer:$118.22
Step-by-step explanation:
the tennis shoes costs 8 dollar less than 130 dollars
Tennis shoes cost=130-8=122
Tennis shoes cost $122
I need $3.78
My money presently=122-3.78
My money presently=$118.22
if each of the 4 shelves holds 14 movies, how many movies does betty have on her shelving unit? show your work
copy paste this
4x + 6
4(14) + 6 (substituting x = 14)
56 + 6
62
Find the solution to the system of equations.
−2x+2y=−4
3x+3y=−18
Answer:
Step-by-step explanation:
-6x + 6y = -12
6x + 6y = -36
12y = -48
y = -4
3x - 12 = -18
3x = -6
x = -2
(-2, -4)
please help this is timed please!
Answer:
f/g(x) 1/x x=0
Step-by-step explanation:
f/g 1/x+2
x+2=0
-2 -2
x=-2
como se escribe en fracción 5÷12
Answer:
5/12
Step-by-step explanation:
Answer:
5/12.
Step-by-step explanation:
i have had this before so i already know the answer.
A University of Florida economist conducted a study of Virginia elementary school lunch menus. During the state-mandated testing period, school lunches averaged 863 calories. The economist claims that after the testing period ends, the average caloric content of Virginia School lunches drops significantly.
Set up the null and alternative hypotheses to test the economist’s claim.
Answer:
Null hypothesis: u = 863
Alternate hypothesis (H1): u < 863
Step-by-step explanation:
a. Null hypothesis: u = 863
The null hypothesis implies that the average caloric content of Virginia School lunches is equal to 863.
b. Alternate hypothesis: u < 863
The alternate hypothesis implies that the average caloric content of Virginia School lunches is less than 863, that is, it drops significantly.
Is an estimate of 28,000 over under the actual peoduct of 360 68? How can you tell
Answer:
Over Estimate of the actual product.
Step-by-step explanation:
360*68= 24,480
The estimate of 28,000 is larger than the actual product 360 and 68 which is 24480, which means that the estimate is an over estimate (an over estimate means that the number you estimated is bigger than the actual number, and an under estimate is when the estimate is smaller than the actual number, Just FYI)
if u dont know dont worry about it
Answer:
4/15
Step-by-step explanation:
The total number of spins completed is 6+8+7+9 = 30
The letter B came up 8 times
P(B) = number of B's over total
P(B) = 8/30 = 4/15
Which category is not one of the major responsibilities of state government?
A. Economic development
B. Corrections
C. Electrical power
D. Law enforcement
Answer: C electricity
Step-by-step explanation:
It is
