Answer:
The percentage error is 8%
Step-by-step explanation:
Given
[tex]r = 10cm[/tex]
[tex]\triangle r =0.1cm[/tex]
Required
% error in the surface area
The surface area of a sphere is:
[tex]S = \4\pi r^2[/tex]
Differentiate
[tex]dS \approx 8\pi r\ dr[/tex]
Rewrite as:
[tex]\triangle S =8\pi r \triangle r[/tex] --- This represents the relative error
The percentage error is then calculated as:
[tex]\% Error = \frac{Relative\ Error}{Surface\ Area}[/tex]
[tex]\% Error = \frac{\triangle S}{S} * 100\%[/tex]
[tex]\% Error = \frac{8\pi r \triangle r}{\pi r^2} *100\%[/tex]
[tex]\% Error = \frac{8 \triangle r}{r} * 100\%[/tex]
[tex]\% Error = \frac{8 *0.1}{10} * 100\%[/tex]
[tex]\% Error = \frac{0.8}{10} * 100\%[/tex]
[tex]\% Error = 0.08 * 100\%[/tex]
[tex]\% Error = 8\%[/tex]
2. Joan spent half of her allowance going to the movies. She washed the family car and earned 8 dollars. What is her weekly allowance if she ended with 15 dollars?
14 dollars is her allowance
y varies jointly as x and z. y = 75 when x = 5 and z = 5. Find y when x = 4 and z=6. y =
Answer:
y = 72
Step-by-step explanation:
Joint proportion is given by the expression;
y = kxz
Given the following values;
y = 75, x = 5 and z = 5
To find the constant, k;
75 = k*5*5
75 = 25k
k = 75/25
k = 3
Next, we find the value of y when x = 4 and z= 6
y = kxz
y = 3*4*6
y = 72
The growing interest in and use of the Internet have forced many companies into considering ways to sell their products on the Web. Therefore, it is of interest to these companies to determine who is using the Web. A statistics practitioner undertook a study to determine how education and Internet use are connected. She took a random sample of 15 adults (20 years of age and older) and asked each to report the years of education they had completed and the number of hours of Internet use in the previous week. These data follow.
Education 11 11 8 13 17 11 11 11
Internet use 10 5 0 14 24 0 15 12
Education 19 13 15 9 15 15 11
Internet use 20 10 5 8 12 15 0
a. Employ a suitable graph to depict the data.
b. Does it appear that there is a linear relationship between the two variables? If so, describe it.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Education : 11 11 8 13 17 11 11 11 19 13 15 9 15 15 11
Internet use 10 5 0 14 24 0 15 12 20 10 5 8 12 15 0
Labeled scatter plot of Education and Internet Use is attached in the picture below.
Yes there appears to be a linear relationship between the two variables (Education and Internet Use) as the data points appears to have an upward trend depicted by the linear trend line in the graph.
The correlation Coefficient value which is measures the degree of linear relationship between education and internet use is 0.7048
What is the measure of angle x?
Answer:
47+47+90+90= 274, 360-274= 86, 86÷2=43=x
Answer:
x = 43°Step-by-step explanation:
So here angle x is equal to the angle between 90° and 47° ( Vertically Opposite Angles are Equal.
So, if we use algebra
[tex]90 + x + 47 = 180 \\ 137 + x = 180 \\ x =180 - 137 \\ x = 43[/tex]
So the the missing angle is equal to 43
Please helped me
Please I need help ^_^:-{^_^:-{^_^:-{^_^:-{^_^:-{^_^
Answer:
A. 8
Step-by-step explanation:
This is just an educated guess
help me with this question if you could
What is the answer to 2.5 divided by 5
0.5 is the value of 2.5 by 5.
What is Division?A division is a process of splitting a specific amount into equal parts.
We need to find the solution when 2.5 divided by 5.
2.5/5
2.5 is the numerator and 5 is the denominator.
5 is the divisor and 2.5 is the dividend.
Zero point five is the value of 2.5 by 5.
0.5 is the value of 2.5 by 5.
Hence, 0.5 is the value of 2.5 by 5.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ5
Solve for c.
a = 11 + 4b – 4c
Answer:
c would be equal to 2948. hope that helps
Answer:
[tex]c=b-\frac{a}{4} +\frac{11}{4}[/tex]
Step-by-step explanation:
[tex]a=11+4b-4c \\a-11=4b-4c\\a-11-4b=-4c\\-\frac{a}{4} +\frac{11}{4} +b=c[/tex]
Rearranging the terms to make it look cleaner, we get:
[tex]c=b-\frac{a}{4} +\frac{11}{4}[/tex]
can anyone help me on that question too its math plsss
Answer:
2x= 40°
5x= 100°
Step-by-step explanation:
2x on opposite angle because it is an isosceles triangle
2x+ 2x+ 5x = 180° (angles of a triangle)
9x= 180
x= 180/9
x= 20°
Sub
2(20)= 40°
5(20)= 100°
Can someone just help me with this simultaneous equations with substitution. I’ve asked ten times and no one has helped. Please
Answer:
I've answered this for you in your previous question. Hope it helped
Answer:
[tex]\huge\boxed{\sf Solution\ Set = \{x,y\} = \{1,2\}}[/tex]
Step-by-step explanation:
3x + 4y = 11 ----------------------(1)
x = 15 - 7y ----------------------(2)
Put Eq. (2) in (1)
3(15 - 7y) + 4y = 11
45 - 21y + 4y = 11
45 - 17y = 11
Subtracting 45 to bot sides
-17y = 11 - 45
-17y = -34
Dividing both sides by -17
y = -34 / -17
y = 2
[tex]\rule[225]{225}{2}[/tex]
Put y = 2 in Eq. (2)
x = 15 - 7(2)
x = 15 - 14
x = 1
[tex]\rule[225]{225}{2}[/tex]
Solution Set = {x,y} = {1,2}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18072) The number of rose blooms in Betty's garden is 24 more than the number of blooms in May's garden. There
are at least 135 rose blooms in Betty's garden. How many blooms are possible in May’s garden?
Answer:
There are at least 111 rose blooms in May's Garden.
Step-by-step explanation:
135-24 is 111 and Betty doesn't have a maximum of rose blooms so that means she can have an infinite amount but it also means that may can't have less than 111.
Please let me know if I am incorrect
Answer question 11 for me.
Answer:
what is true about p and q is that they both equal 20.
Step-by-step explanation:
[tex]\frac{2*20}{5*20}[/tex]=[tex]\frac{40}{100}[/tex]
hope this helps!
have a great day :)
Solve the following equation by first writing the equation in the form ax^2 = C:
t² - 490
a. t = 49
b. t = +49
C. t = 7
d. t = +7
Answer: c.) t = 7
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
edge 2021
what is this math question answer 48=a+20
Answer:
a=28
Step-by-step explanation:
a+20=48
a=48-20
a=28
Find the volume of a cone with a base diameter of 6in and a height of 9in. Use the value 3.14 for π, and do not do any rounding. Be sure to include the correct unit in your answer.
Answer:
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Step-by-step explanation:
rex ex Tyri you RCB you in FM TV 36
help 20 points on the line real answer plz!!
Step-by-step explanation:
D makes the most sense to me hopefully this helps
Answer:
24 cubic in
Step-by-step explanation:
Hope this helps UwU
Rewrite 8y - 1/2 (4y - 16) in a different form
Answer:
8y-2y+8=0
6y+8=0
y=8/6=4/3
How many days should it take the remaining 3 workers to build a barn?
9514 1404 393
Answer:
15 days7 workersStep-by-step explanation:
The effort required to complete a task is often estimated in terms of person·days. Amy's barn-building task takes an effort of ...
(5 workers)(9 days) = 45 worker·days
If there are only 3 workers, the time required is ...
time = (45 worker·days)/(3 workers) = 15 days
__
If the barn is to be build in 7 days, the number of workers required is ...
(45 worker·days)/(7 days) = 6 3/7 workers
A minimum of 7 workers are required to build the barn in 7 days or less. (6 workers will take 7 1/2 days, so aren't enough.)
Open Response Mrs. James buys 5 hat and
glove sets for charity. She has coupons for
$1.50 off the regular price of each set. After
using the coupons, the total cost is $48.75.
Determine the regular price of a hat and
glove set.
Cost ($)
Item
Hat and glove set
р
Scarf
9.99
Answer:
$8.26
Step-by-step explanation:
$48.75= Total
$1.50= Coupon discount
5= Number of Sets bought by Mrs. James
*$48.75-($1.50*5)= $41.28*
41.28= Total after Coupon discount is removed
5= Number of Sets bought by Mrs. James
$41.28/5= $8.256
Round answer to show dollar value
Final Answer
$8.26
lem.
2.)
5 + 2x = 13
Solve for x
Answer:
x=4
Step-by-step explanation:
5+2x=13
-5 on both sides
2x=8
÷2 on both sides
x=4
Hope this helps :)
When it comes to reimbursement packages, company A offers $175 plus
$0.55 per mile. Company B offers $200 plus $0.45 per mile. What number of
miles driven would make the two reimbursement packages equal?
O A. 225
B. 245
O c. 250
O D. 305
Which is an equation of the line that has a slope of 1/2 and passes through the point (3, -1)?
Answer:
y + 1 = (1/2)(x - 3) - point-slope form
OR
y = (1/2)x - 5/2 - slope-intercept form
Step-by-step explanation:
Given a slope and point, use point-slope form to write the equation for the line:
y - y1 = m(x - x1)
(x1, y1) is the point given and m is the slope.
y - (-1) = (1/2)(x - 3)
y + 1 = (1/2)(x - 3)
If you need to rewrite in slope intercept form, you can do so by distributing the 1/2 to the x - 3 and subtracting 1 from both sides:
y + 1 = (1/2)x - 3/2
y = (1/2)x - 5/2
Answer:
[tex]\boxed {\boxed {\sf y= \frac {1}{2}x - \frac {5}{2}}}[/tex]
Step-by-step explanation:
The equation of a line can be found using the point-slope formula.
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and (x₁, y₁) is the point the line passes through. For this line, the slope is 1/2 and the point is (3, -1). Therefore,
[tex]m= \frac {1}{2} \\x_1= 3 \\y_1= -1[/tex]
Substitute the values into the formula.
[tex]y--1= \frac {1}{2}(x-3)[/tex]
[tex]y+1= \frac {1}{2}(x-3)[/tex]
The equation can be left like this, or put into slope-intercept form (y=mx+b).
First, distribute the 1/2. Multiply each term inside the parentheses by 1/2.
[tex]y+1= \frac {1}{2}x - \frac {3}{2}[/tex]
Next, subtract 1 from both sides of the equation.
[tex]y+1-1= \frac {1}{2}x - \frac {3}{2}-1[/tex]
[tex]y= \frac {1}{2}x - \frac {5}{2}[/tex]
find the least cube exactly divisible by 4 and 6
alguém pra conversar?
Answer:
si
Step-by-step explanation:
A circle with radius of 3 cm sits inside a circle with radius of 11cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
3 cm
11 cm
Answer:
Where is the shaded region i need a picture
Step-by-step explanation:
Answer:
Also need a picture but try either multiplying or dividing
What is the value of y?
Answer:
y = 25
Step-by-step explanation:
180 - 115 = x
x = 65
x + 90 + y = 180
65 + 90 + y = 180
y + 155 = 180
y = 25
Answer:
y = 25°
Step by Step explanation
A container holds 0.7 liters of oil and vinegar. of the mixture is vinegar. How many liters of 4/3 vinegar are in the container? Express your answer as both a fraction and a decimal.
What should you do first to simplify the expression (43 + 9) ÷ 76 + 5?
Kiki was one of 8 children to share in a prize of $34.24. Kiki was hoping to win $5.
What is the difference between the amount of money Kiki won and the amount she hoped to win?
Answer:
She didn't get as much money that she hoped for
Step-by-step explanation:
Mario started with the expression 2(x+ y) + 5(x+7y), applied several steps and simplified the
expression to 7x+ 37y.
Mario used problem solving to obtain 7x+ 37y. Write the steps using math properties to show
how he got his answer.
Answer:
[tex]8x + 32y[/tex]
Step-by-step explanation:
Given
[tex]2(x+ y) + 5(x+7y)[/tex]
Required
Expand and identify the steps
[tex]2(x+ y) + 5(x+7y)[/tex]
Apply distributive property
[tex]3x + 2y+ 5x + 35y[/tex]
Apply associative property
[tex]3x + 5x + 2y+ 35y[/tex]
[tex]8x + 32y[/tex]
