Answer:
Step-by-step explanation:
7) \(n-\frac{8}{9}=\frac{4}{9}\)
\(n-\frac{8}{9}+\frac{8}{9} =\frac{4}{9}+\frac{8}{9}\)
n = \(\frac{4+8}{9}\)
n = \(\frac{12}{9}\)
n = \(\frac{4}{3}\)
8). \(\frac{3}{2}+x=-\frac{7}{2}\)
\(\frac{3}{2}+x-\frac{3}{2} =-\frac{7}{2}-\frac{3}{2}\)
x = \(-\frac{7+3}{2}\)
x = -5
9). \(\frac{6}{5}= \frac{d}{\frac{5}{4}}\)
d = \(\frac{6}{5}\times \frac{5}{4}\)
d = \(\frac{6}{4}\)
d = \(\frac{3}{2}\)
10). \(-\frac{1}{8}V=\frac{5}{2}\)
\(-\frac{1}{8}V\times (-8)=\frac{5}{2}\times (-8)\)
V = -20
If 2x-y=9 and 3x+4y=19, then y=
Answer:
x = 5
y = 1
Step-by-step explanation:
2x - y = 9
3x + 4y = 19
We multiply the first equation by 4
8x - 4y = 36
3x + 4y = 19
11x = 55
x = 5
Now we put 5 in for x and solve for y
2(5) - y = 9
10 - y = 9
-y = -1
y = 1
Let's Check the answer
2(5) - 1 = 9
10 - 1 = 9
9 = 9
So, x = 5 and y = 1 is the correct answer.
A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.
The work required to pump the water out of the spout is approximately 64,307,077 ft-lb
To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.
First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.
Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:
V = (1/3)π(12)(9 + 36 + 18) = 270π ft³
Now, we can calculate the weight of the water using the density of water:
Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb
Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):
Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²
Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:
Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft
for more search question water
https://brainly.com/question/17120212
#SPJ8
Lucas and Brianna read three books each last m
Lucas read
\(\begin{gathered} \frac{208}{8}=26\text{ pages/hour} \\ \frac{156}{6}=26\text{ pages/hour} \\ \frac{234}{9}=26\text{ pages/hour} \end{gathered}\)Therefore, Lucas presents a constant read rate.
Brianna read
\(\begin{gathered} \frac{168}{6}=28\text{ pages/hour} \\ \frac{120}{4}=\text{ 30 pages/hour} \\ \frac{348}{12}=29\text{ pages/hour} \end{gathered}\)Therefore, Brianna does not present a constant read rate.
Which of the tables, if any, shows a proportional relationship?
Lucas's table presents a constant read rate - 26 pages/hour.
Second question about strategy
The volume of a right rectangle prism is found by multiplying the length of the base by the width of the base by the height of the prism. A right rectangular prism has a volume of 50 cubic inches. If the height of the prism is 4 inches, what is the area of the base of the prism?
9514 1404 393
Answer:
12.5 square inches
Step-by-step explanation:
The area of the base can be written as ...
B = LW
Then the volume formula ...
V = LWH
can be written in terms of the base area as ...
V = BH
The base area can be found by dividing by the height:
B = V/H = (50 in³)/(4 in) = 12.5 in²
The area of the base is 12.5 square inches.
Jazeel drove less than 25 miles. Which
inequality represents this situation?
2. The mean temperature in an area is 74 degrees Fahrenheit. The sum of the temperatures is
2,516. How many temperatures are in the set?
To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.
Number of temperatures = Sum of temperatures / Mean temperature
In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.
Number of temperatures = 2,516 / 74
Calculating the division:
Number of temperatures ≈ 34.05
Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.
Write y = 5(x - 8)^2 + 4 in standard form
Answer:
\(y=5x^2-80x+324\)
Step-by-step explanation:
?
Round to the nearest ten
thousand.
674,312
Answer:
670,000
Step-by-step explanation:
Answer:
670,000
Step-by-step explanation:
674,312 rounded to the nearest ten thousand is 670,000
what is meant by rectangle in this context
wrong answers will be reported
Another meaning of this term is that the square of a lateral surface is the product of the squares that comprise the other 2 sides plus twice the dimension of the rectangle formed by those two sides.
Why is it known as a rectangle?The Latin word rectus, which meaning "right" or "straight," is where the "recto" in "rectangle" comes from. A rectangle possesses straight sides due to its right angles. Rectitude, a different term derived from the same root and denoting moral uprightness.
This is how the Pythagorean Theorem for just an acute angled triangle is stated.
Assume that ABC is a triangle with an acute angle on angle A. Let the lengths of the sides that are perpendicular to angles A, B, and C be a, b, and c, respectively. Assume, without losing generality, that side an is perpendicular to angle A.
Hence, according to the Pythagorean Theorem for this triangle,
a² = b² + c² + 2bc×cos(A)
Where cos(A) denotes the project of side c onto side b and is the cosine of angle A. You can also write the expression 2bccos(A) as 2bch, where h is the distance from vertex A to side BC.
The Pythagorean Theorem for an obtuse angled triangle state, in plain English, that the square of a longest side (a) is the same as the total of the squares of the remaining two sides (b and c), plus twice equal product of those sides and the cosine of an angle between them. The square of the lateral surface is equal to the sum of the squares that make up the other 2 sides plus twice the size of the rectangle created by those two sides, according to another interpretation of this expression.
To know more about rectangle visit:
https://brainly.com/question/2607596
#SPJ1
6 Item 6 For a specific species of fish in a pond, a wildlife biologist wants to build a regression equation to predict the weight of a fish based on its length. The biologist collects a random sample of this species of fish and finds that the lengths vary from 0.75 to 1.35 inches. The biologist uses the data from the sample to create a single linear regression model. Would it be appropriate to use this model to predict the weight of a fish of this species that is 3 inches long
Answer:
Yes, because the regression equation is based on the random sample.
Step-by-step explanation:
A simple linear regression model that describes the relationship between X and Y takes the form
Yi= ∝ + βXi + εi or
Y i= U(y.x) + εi
where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) , as the only random element in the is εi.
The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi
. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.
WILL GIVE BRAINLIEST!!!!
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils. Without looking, Carlos pulls out 22 pencils. If the pencils were distributed randomly in the bin, how many pencils of each color is it most likely that he picked?
A. 8 red, 7 green, 7 blue
B. 10 red, 7 green, 5 blue
C. 10 red, 8 green, 4 blue
D. 11 red, 6 green, 5 blue
E. 12 red, 6 green, 4 blue
Answer:
E. 12 red, 6 green, 4 blue
Step-by-step explanation:
To find the number of colored pencils for each color, we must find ratios.
480 red: 240 green: 160 blue
Then we divide them to the simplest ratios.
We divide all the numbers by 80.
6 red: 3 green: 2 blue
There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.
12 red: 6 green: 4 blue
The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.
Without looking, Carlos pulls out 22 pencils.
The pencils were distributed randomly in the bin.
To find the numbers of pencils of each color:
First, we will find the ratio.
Red : Green : Blue
= 480 : 240 : 160
We will factor out the common factor,
= 12: 6: 4
Therefore, 12 red, 6 green, 4 blue are the pencils of each color.
To learn more about the ratio;
https://brainly.com/question/13419413
#SPJ2
Evaluate: 2/3−1/7
A
11/3
B
1/4
C
11/21
D
17/21
Answer:
option C :11/21
Step-by-step explanation:
option C is the correct answer of this question.
plz mark my answer as brainlist plzzzz vote me also.
Hope this will be helpful to you.
Step-by-step explanation:
C is the correct answer, hope this helps and I luv ur profile pic
given that g(x)= -(x-1)^3 , write an expression for h(x) in terms of x
Answer:h(x) =-(x+5)^3
Step-by-step explanation:
What’s the area and hurry:)
Eve bought a bag of 26 sour candies. She ate s of the candies. Write an expression that shows how many sour candies Eve has now?
Answer:
The expression is 26 - s.
Step-by-step explanation:
Number of sour candies Eve has = 26
Number of candies ate by Eve = s
Let,
x be the candies left.
Candies left = Total - candies eaten
x = 26 - s
Therefore,
The expression is 26 - s.
Find cos θ for θ = 30°
Answer:
\(\frac{\sqrt{3} }{2} }\)
Step-by-step
substitute θ=30° into the expression
like this cos(30°)
and then use a calculator to calculate the expression
= \(\frac{\sqrt{3} }{2} }\)
I GIVVVVE BRAINLILSTE
Answer:
≈ 26.39 inches
Step-by-step explanation:
The circumference of a circle is 2πr or πd with r meaning radius and d for diameter. Since we know the diameter already, we can substitute the value in for d:
C = π(8.4) = 8.4π ≈ 26.39
Later, the teaching assistant in Nick’s physics course gives him some advice. "Based on past experience," the teaching assistant says, "working on 15 problems raises a student’s exam score by about the same amount as reading the textbook for 1 hour." For simplicity, assume students always cover the same number of pages during each hour they spend reading. Given this information, in order to use his 4 hours of study time to get the best exam score possible, how many hours should he have spent working on problems, and how many should he have spent reading?
Answer:
3 hours working on problems, 1 hour reading
Step-by-step explanation:
From the given information:
We learned that If Nick can attempt more than 15 problems in an hour, working on problems will helo and aid further his grade for that particular hour than reading would.
We know that the marginal gain for three hours is greater than 15. This implies that Nick would get better by spending 3 hours on problem-solving and the rest 1 hour on reading since the marginal gain for that an hour is one problem solved. Hence, it will be advisable to spend it on reading.
60 m =
I
cm
How do you Convert 60 meters to centimeters?
Please help! Provide an answer with an explanation to my question & you will receive a 100 points for one question! :)
Answer:
B
Step-by-step explanation:
Standard deviation is the average distance away from the mean, thus B is correct
1. Assume that there is a party consisting of people between the ages of 18 and 24 inclusive. How many people would have to be at the party to guarantee that at least three people share the same birth date, birth month, and birth year? Note: assume the range of birth years include 2 leap years. (10 points)
at least 24 people must be in the party to guarantee that at least 3 people have the same date of birth, date of birth, date of birth.
To warrant that at least three people have the same date, month, and year of birth, we need to find the minimum number of people such that there is a probability that at least three people have the same date, month, and year. there is. Birth year she is 1 or more. Non-leap years have 365 days, and leap years have her 366 days. The birth year range includes two leap years, so there are 3652 + 3662 = 2,922 possible births. This means that the probability that a particular person's birthday is unique is (2922-1)÷2922 = 1÷2922.
Now we can use the birthday puzzle to calculate the probability that at least three people have the same birthday. The probability that no one has the same birthday is (1 - 1÷2922)^n, where n is the number of people in your party. At least he has 1-(1-1÷2922)^n probability that 3 of them have the same birthday. You can set this probability to 1 or more and solve for n.
1 - (1 - 1÷2922)^n >= 1
(1 - 1÷2922)^n <= 0
n >= log(0) ÷ log(1 - 1÷2922)
The logarithm of 0 is not defined, so you can use a small value on the right hand side instead. B. 10^-6. This will tell you:
n >= log(10^-6) ÷ log(1 - 1/2922)
n >= log(10^-6) ÷ log(2921/2922)
n >= log(10^-6) ÷ log(2921) - log(10^-6) / log(2922)
n >= log(10^-6) × log(2922) ÷ log(2921) - log(10^-6)
n >= log(10^-6) × log(2922) ÷ log(2921) - log(10^-6)
n >= 23.
Hence, at least 24 people must be in the party to guarantee that at least 3 people have the same date of birth, date of birth, date of birth.
Read more about this on https://brainly.com/question/9314097
#SPJ4
Houa is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Houa have to pay for
parking if she left her car in the lot for 3 hours? How much total money would Houa have to pay if she left her car in the lot for 3 hours? How much would Houa have to pay if she left her car in the lot for t hours?
Cost of parking for 3 hours:
I
Cost of parking for t hours:
Step-by-step explanation:
let's create the corresponding equation.
it is linear, because the cost per hour is constant, no matter how many hours the car parks.
t is the variable indicating the amount of hours parking.
every hour costs $2.
and $8 is the starting value (we have to pay that, even if we have 0 hours parking time).
cost(t) = 2t + 8
so, the cost after 3 hours is
cost(3) = 2×3 + 8 = 6 + 8 = $14
Give the domain and range. On a coordinate plane, points are at (negative 2, negative 1), (0, 1), (2, 3). a. domain: {2, 0, 2}, range: {1, 1, 3} b. domain: {–1, 1, 3}, range: {–2, 0, 2} c. domain: {–2, 0, 2}, range: {–1, 1, 3} d. domain: {1, 1, 3}, range: {2, 0, 2} Please select the best answer from the choices provided A B C D
Answer:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Step-by-step explanation:
From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.
The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.
In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.
Therefore, the correct answer is:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Decide whether quadrilateral ABCD with vertices A (2,-4), B (1,-1), C (4,0), and D (5,-3) isa rectangle, rhombus, square, or parallelogram,
Given the following vertices:
A (2,-4)
B (1,-1)
C (4,0)
D (5,-3)
Let's plot the following points in the graph to see what type of quadrilateral will ABCD formed from the vertices.
We get,
The figure formed by the vertices appeared to be a square.
Therefore, the quadrilateral ABCD is a square.
A cone has a volume of 6 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of? (1 point)
Answer:
18 cubic inches
Step-by-step explanation:
The formulas for the volumes of a cone and a cylinder can be used to answer this question.
Volume formulasThe volume of a cone is given by ...
V = 1/3πr²h . . . . . volume of cone with radius r and height h
The volume of a cylinder is given by ...
V = πr²h . . . . . volume of a cylinder with radius r and height h
Relation between volumesComparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
(cone volume) = 1/3(cylinder volume)
Multiplying this equation by 3 gives ...
3×(cone volume) = (cylinder volume)
Using the given value for cone volume, we have ...
cylinder volume = 3×(6 in³) = 18 in³
The volume of the cylinder is 18 cubic inches.
WILL MARL BRAINLIEST IF YOU HELP
Answer:
C.
Step-by-step explanation:
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
A.
9 + 9 = 18
18 < 22
No triangle
B.
7 + 3 = 10
10 = 10
No triangle
C.
5 + 6 = 11 and 11 > 9 good
5 + 9 = 14 and 14 > 6 good
9 + 6 = 15 and 15 > 5 good
There is a triangle.
Answer: C.
20. Jorge conducted a survey by asking 120 students whether they use a pencil to take notes. Of the students surveyed, 90 responded favorably. Which margin of error matches each confidence level for this situation?
1. 90% =
2. 99% =
3. 95%=
options- 0.102, 0.338, 0.216, 0.077, 0.256, 0.065
Answer:
Margin of error for 90% C.I: 0.065
Margin of error for 99% C.I: 0.091
Margin of error for 95% C.I: 0.077
Step-by-step explanation:
In this question, for each student, there are only two possible outcomes. Either they use a pencil to take notes, or they do not. Students are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial confidence interval:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
For this problem, we have that:
120 students, so \(n = 120\)
90 responded favorably, so \(p = \frac{90}{120} = 0.75\)
Margin of error for 90% CI:
Here \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}} = 1.645\sqrt{\frac{0.75*0.25}{120} = 0.065\)
Margin of error for 99% CI:
Here \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.325\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}} = 2.325\sqrt{\frac{0.75*0.25}{120} = 0.091\)
Margin of error for 95% CI:
Here \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
The margin of error is:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}} = 1.96\sqrt{\frac{0.75*0.25}{120} = 0.077\)
Answer: Margin of error for 99% CI: z=2.575 . input that into the equation and it give you .1017
Step-by-step explanation:
What is the distance between the points (-2,1) and (5,-4)
Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Distance between two pointsThe distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.
In other words, the distance between two points in space is the magnitude of the vector formed by said points.
So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:
distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Distance between the points (-2,1) and (5,-4)In this case, you know:
(x1, y1): (-2,1)(x2, y2): (5,-4)Replacing in the definition of distance:
distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)
distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)
distance= \(\sqrt{7^{2} +(-5)^{2} }\)
distance= \(\sqrt{49+25 }\)
distance= √74= 8.6023
Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Learn more about distance between two points:
https://brainly.com/question/23848540
https://brainly.com/question/7243416
https://brainly.com/question/15973889
#SPJ1
Can anyone help me with my algebra homework please ?
Answer:
She will practice 2.5 for week four
Step-by-step explanation:
The table is going by 0.5 so I added 0.5 +2 =2.5
On a shelf at a gaming store, there are three Sony PlayStations and seven Nintendo Wii coasters left. If one gaming system is selected at random, find the probability that the system is a Wii console.
Answer:
hello
as probability is equal to number of favourable outcomes/total number of out comes,
Step-by-step explanation:
=7/10
HOPES THAT IT HELPS YOU
PLEASE MARK ME AS BRAINLIEST