Answer:
V=pi multiplied by r^2 times height
Step-by-step explanation:
A line has a slope of -7 and a y-intercept of (0, 4). Which of the following represents the equation of the line?
Answer:
i think its =y7x-4
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
The slope is going to be associated with an “x” and we know that the slope equals -7 so it’s important to add the NEGATIVE sign.
Also, the x-intercept is POSITIVE. It won’t be A because their x-intercept is negative. It won’t be C because their slope is positive. It won’t be D. because they didn’t put -7 as a slope.
The volume of a right circular cone with radius r and height h is V = pir^2h/3.
a. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 10.0 to h = 9.92.
a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)
b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)
The question is incomplete. The complete question is :
The volume of a right circular cone with radius r and height h is V = pir^2h/3. a. Approximate the change in the volume of the cone when the radius changes from r = 5.9 to r = 6.8 and the height changes from h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r = 6.47 to r = 6.45 and the height changes from h = 10.0 to h = 9.92.
a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)
b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)
Solution :
Given :
The volume of the right circular cone with a radius r and height h is
[tex]$V=\frac{1}{3} \pi r^2 h$[/tex]
[tex]$dV = d\left(\frac{1}{3} \pi r^2 h\right)$[/tex]
[tex]$dV = \frac{1}{3} \pi h \times d(r^2)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
a). The radius is changed from r = 5.9 to r = 6.8 and the height is changed from h = 4 to h = 3.96
So, r = 5.9 and dr = 6.8 - 5.9 = 0.9
h = 4 and dh = 3.96 - 4 = -0.04
Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi (5.9)(4)(0.9)+\frac{1}{3} \pi (5.9)^2 (-0.04)$[/tex]
[tex]$dV=44.484951 - 1.458117$[/tex]
[tex]$dV=43.03$[/tex]
Therefore, the approximate change in volume is dV = 43.03 cubic units.
b). The radius is changed from r = 6.47 to r = 6.45 and the height is changed from h = 10 to h = 9.92
So, r = 6.47 and dr = 6.45 - 6.47 = -0.02
h = 10 and dh = 9.92 - 10 = -0.08
Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi (6.47)(10)(-0.02)+\frac{1}{3} \pi (6.47)^2 (-0.08)$[/tex]
[tex]$dV=-2.710147-3.506930$[/tex]
[tex]$dV= -6.22$[/tex]
Hence, the approximate change in volume is dV = -6.22 cubic units
A recipe requires cups of milk and flour in the ratio 2 : 6. How many cups of flour are required for each cup of milk?
What is the average rate of change for this exponential function for the interval from x = 1 to x = 3?
A. 6
B. -6
C. -3
D. 3
A traveling circus is moving in a train consisting of 20 cars, which were randomly adjoined to each other. 2 cars are carrying clowns, 2 cars house trapeze artists, 4 are reserved for lions, 4 - for bears, 4 - for elephants, and 4 for tents and provisions. What is the probability that no elephant or bear car precedes the first car with lions
Answer:
the no elephant or bear car precedes the first car with lions is 0.60
Step-by-step explanation:
The computation of the probability is shown below:
= 1 - (no depend or acrobat car precedes)
= 1 - (4 ÷ 20 + 4 ÷ 20)
= 1 - 8 ÷ 20
= 20 - 8 ÷ 20
= 12 ÷ 20
= 0.60
Hence, the no elephant or bear car precedes the first car with lions is 0.60
The same would be considered and relevant too
What is the greatest number of pizzas Mrs. Rane can buy?
Please put how many pizzas there are and how much money he has (please put the full question)
Imagine that a researcher correctly computes a correlation coefficient to quantify the relationship between two variables. In the data set that she works with, low scores on Variable X tend to be paired with low scores on Variable Y, and high scores on Variable X tend to be paired with high scores on Variable Y. Based on this data set, what type of correlation coefficient should the researcher expect to find
Answer:
Positive value of correlation Coefficient
Step-by-step explanation:
The correlation Coefficient value, R is a correlation measure which gives information about both the strength of association between two variables and also the type of association between them (negative or positive). R has a standardized value which ranges from - 1 to +1
Negative relationship between variables are depicted with negative (where one variable decreases as the other increases) R value while positive association (increase in one variable means leads to increase in the other variable) are depicted with positive R values.
Therefore, for the relationship described above, the correlation Coefficient will be positive.
to Find the quotient of 4÷1/5 multiply 4 by WHAT???
HURRY PLSS
Answer:
So 4 ÷ 1/5 = 4 × 5. So your answer is 5.
m∠1 = _°
•70
•50
•90
Answer:
50°
Step-by-step explanation:
By intersecting secants theorem:
[tex]m \angle \: 1 = \frac{1}{2} (140 - 40) \degree \\ \\ m \angle \: 1 = \frac{1}{2} \times 100 \degree \\ \\ m \angle \: 1 = 50 \degree [/tex]
Answer:
the answer is 50 on od
Step-by-step explanation:
I need help real quick
The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer
Answer:
48
Step-by-step explanation:
What is the value of x?
6
8
10
12
Answer:
x = 8
Step-by-step explanation:
What type of sequence is this? *
9, 14, 19, 24, 29, ..
Answer:
an arithmetic sequence
Step-by-step explanation:
I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)
The state of Georgia has roughly 10⁷ human residents. Each human has roughly 10¹³ bacteria cells in his or her digestive tract. How many bacteria cells are there in the digestive tracts of all the humans in Georgia?
Answer:
10^20
Step-by-step explanation:
So in this word problem, we have to multiply 10^13 bacteria cells on a single person by the 10^7 of people.
Always remember this, when you have exponenets with the same bases, and the question asks for multiplying and dividing exponents, you just need to add and subtract the exponent.
So in this case, we will just add since it calls for multipactation.
So we need to solve:
10^13+7
This will just equal:
10^20 power
Hope this helps ;)
Can someone pls help me with these equations
Answer:
1. y = -2x+5
2. y = 3/4 - 3
3. intercept = -5 slope = 4/3
4. intercept = 1 slope = -1/2
A poster has an area of 1,080 in squared.
The poster is 36" tall. What is
the width of the poster?
Answer:
30
Step-by-step explanation:
A=wl
1080=36w
divided by 36
equals 30
The cost of 50 pounds of beans is $?
Pls help!!
Answer:
The answer is 40
Step-by-step explanation:
The cost of 50 pounds of beans is 40 dollars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We can use a ratio to solve the problem;
5 pounds/ 4 dollars = 50 pounds/ x dollars
Using cross products;
5x = 4 x 50
5x = 200
Divide by 5;
5x/5 = 200/5
x = 40
The cost of 50 pounds of beans is 40 dollars.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME
Answer:
10.3
Step-by-step explanation:
6²+b²=9²
36+b²=81
b²=81-36
b²=45
b=√45
b=6.7
So CE is 6.7.
6²+b²=7²
36+b²=49
b²=49-36
b²=13
b=√13
b=3.6
so EA is 3.6
AC = CE+EA = 6.7+3.6 = 10.3
The city of Arachna has a spider population that has been doubling every year. If there are about 100,000 spiders this year, how many will there be 2 years from
now?
A:200,000
B:400,000
C:800,000
D:1,600,000
Find the reference angle in radians: 7pi over 12
Answer:
5π/12
Step-by-step explanation:
5 pie / 12
(hope this helps can i plz have brainlist :D hehe)
Natan's family spent 2 1/4 hours visiting a national monument near their home. They watched a video in the visitor's center for 1/3 of that time. How much time did they spend watching the video?
Answer:
3/4 h
Step-by-step explanation:
The manufacturers of a dietary supplement claim that their product will help customers lose weight. To test their claim, they select a sample of nine subjects, and their weights are recorded. Then, the ten subjects take the supplement for one month, and their weights are recorded again. The weights, before and after, are listed below: Subject 1 2 3 4 5 6 7 8 9 Before 225 245 188 210 282 275 230 195 190 After 215 240 188 212 175 260 225 200 185 Assuming that this data is used to conduct a hypothesis test to test the manufaturers' claim, what would be the test statistic
Answer:
Assuming that this data is used to conduct a hypothesis test to test the manufacturers' claim, the test statistic we an use is:
the paired sample t-test.
Step-by-step explanation:
a) Data and Analysis:
Subject Before After
1 225 215
2 245 240
3 188 188
4 210 212
5 282 175
6 275 260
7 230 225
8 195 200
9 190 185
b) The paired sample t-test is used to compare the means from the same dataset but at different times (say, one month apart). It supports the comparison of sample data before and after the data subjects have taken the dietary supplement. When the t-value is high, it is an evidence that the null hypothesis should be rejected. The higher value of the t-test, therefore, indicates that there is a large difference between the two sample sets. On the other hand, a small t-value shows similarity between the two sample sets.
Find the area of this parallelogram
Answer:
140 cm²
Step-by-step explanation:
The height of the parallelogram is 10cm . And its base is 14cm .We know that the area of parallelogram is product of base and height .
⇒ Area = base × Height
⇒ Area = 14cm × 10cm
⇒ Area = 140 cm² .
Hence the area of the parallelogram is 140 cm² .Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all of your calculations.
Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of points A and B into the formula and simplify:
[tex]m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3[/tex]
So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation [tex]y = mx + b[/tex], write the equation of the line. Remember that the number in place of [tex]m[/tex], or the coefficient of the x-term, is the slope. So, substitute 3 for [tex]m[/tex]. Also, remember that [tex]b[/tex] represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:
[tex]y = 3x + 5[/tex]
What value of x makes the equation –7x + 4 – 3x = –2x – 12 true?
Answer:
x=2
Step-by-step explanation:
To solve this equation combine like terms and move all like terms to the same side. Then, isolate the variable.
First, combine like terms that are on the same side,
-10x+4=-2x-12
Next, move -10x to the other side by adding it to both sides,
4=8x-12
Then, add 12 to both sides as well,
16=8x
Finally, isolate x by dividing the whole equation by 8,
2=x
Answer:
x=2
Step-by-step explanation:
I know the answer is x=2.
First, I set up the equation.
-7x+4-3x=-2x-12
Next, I added like values on each side.
-10x+4=-2x-12
Then, I added 10x to both sides.
4=8x-12
Then, I added 12 to both sides.
16=8x
Next, I divided 8 on both sides.
2=x
To make sure 2 is the true value of x, I inserted 2 to all values of x in the equation. -7(2)+4-3(2)=-2(2)-12. Both sides of the equation are -16. So, 2 is the real value of x in this equation.
Find the third side in simplest radical form:
Answer:
4
Step-by-step explanation:
the third side = x
Pythagorean theorem: a² + b² = c²
3² + x² = 5²
=> x² = 5² - 3²
=> x = √5² - 3²
=> x = √25 - 9
=> x = √16
=> x = 4
help me for a brianly
Answer:
32 yd²
Step-by-step explanation:
because 8 • 4 is 32 so it's 32 yd²
Answer:
A = 32 yds^2
Step-by-step explanation:
We know the formula for the area of a rectangle is
A = lw where l is the length and w is the width
A = 4 yds * 8 yds
A = 32 yds^2
Quick answers please!!!!!!
I literally have no idea
Answer:
The solution to this question is 104.25cm²
Step-by-step explanation:
u
Answer:
hi
Step-by-step explanation:
i think so
A=
[tex] = \pi \times {r}^{2} [/tex]
=3,14×5,76²=104,177
hope it helps
have a nice day
Help me please and B
Answer:
answer a
Step-by-step explanation:
Which expression has the greatest value?
2,067 + 49
20 x (2,067 + 49)
1/3x (2,067 +49)
(2,067 +49) x 21
if you help me you will get brainlyest
Answer:
(2,067 + 49) x 21
Step-by-step explanation:
I did the math for each answer