Answer: 1256cm
Step-by-step explanation:
Final answer:
When Josie doubles the radius of the bird bath to build a larger one, the new surface area will be 1256 cm², as surface area quadruples when doubling the radius of a circle.
Explanation:
Josie calculated that the surface area of her small bird bath with a radius of 10 cm is 314 cm^2. If she doubles the dimensions for a larger bird bath, the new radius will be 20 cm. To find the surface area of the larger bird bath, we use the formula for the area of a circle, A = πr².
Plugging in the new radius:
A = 3.14 × (20 cm)^2
A = 3.14 × 400 cm^2
A = 1256 cm2
This means the surface area for the larger bird bath Josie plans to build will have 1256 cm^2 for bird bathing. This calculation demonstrates how the surface area of a circle quadruples when the radius is doubled, which is consistent with the principle that surface area scales with the square of the dimension changes.
Part A: If a circle has a diameter of 18 inches, what is the radius? Identify which multiple choice option is the correct answer:
a. 38 inches
b. 27 inches
c. 9 inches
d. 4.5 inches
Part B: Name two real-life examples of a circle.
Part C: State the process of drawing a circle with a radius of 6 inches using a compass on a piece of paper? Write a detailed explanation.
Answer:
c. 9 inches
Plates and clocks are examples of circles.
Set the compass so that it is 6 inches wide. Place the needle on the paper and twist the top of the compass so that the circle is evenly drawn.
Which equations have the same value of x as 5/6x+2/3=-9? Select three options.
Answer:
A) 5x + 4 = -54
B) 6(5/6x + 2/3) = -9(6)
C) 5x = -58
Step-by-step explanation:
Answer:
a b c
Step-by-step explanation:
The Australian Cockroach measures 3.582 centimeters compared to the American Cockroach that measures 3.576 centimeters. Compare these numbers using >, <, or =
3.582_________3.57
Multiplying special case polynomials: 48 squared
Answer:2304
Step-by-step explanation:
All you have to do is 48x48, hope this helped you!
Evaluate the expression when c=3 and x=-5.
c-7x
Steps to solve:
c - 7x; c = 3, x = -5
~Substitute
3 - 7(-5)
~Multiply
3 - (-35)
~Simplify
3 + 35
~Add
38
Best of Luck!
Look at the attached picture⤴
Hope it will help u....
5 seconds is what fraction of a minute?
Answer:
5 seconds is 1/12 of a minute
Step-by-step explanation:
60 seconds per minute so 5/60
5/60=1/12
5 seconds is 1/12 fraction of a minute.
Fraction is used to show the quantity of a part that makes up the whole number.
One minute is = 60seconds
Therefore 5 seconds= 5/60
= 1/12
This means that 1/12 of one minute is = 5 seconds.
Learn more about fraction here:
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which algebraic representation shows the effect that a reflection over the x-axis will have on the coordinates of a figure?
A. ( x,-y )
B. (-x, y )
C. (-x, -y)
D. (-y, x )
Answer:
A, (x, -y)
Step-by-step explanation:
When something is flipped over the x axis, the y-coordinates become the opposite of what they were. It makes sense if you think about it- if it flips over the line on the x axis, the x-coordinates will stay the same, and the y coordinates will change.
the circle at eh top of a cylinder has a radius of 3.3 inches. the cylinder is 21 inches long. what is the volume of the cylinder?
Answer:
V =718.0866 in^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h
The radius is 3.3 and the height is 21
V = pi (3.3)^2 * 21
V = pi (10.89) (21)
V =pi 228.69
We can approximate pi by 3.14
V = 3.14(228.69)
V =718.0866 in^3
Which is larger, 3.2 x 10⁴ or 3.2 x 10⁵?
A. 3.2 x 104
B. 3.2 x 105
Answer:
3.2 x 10^5
Step-by-step explanation:
Scientific Notation
3.2 x 10^4 = 32000
3.2 x 10^5 = 320000
Final answer:
The number 3.2 x 10⁵ is larger than 3.2 x 10⁴ because it represents 320,000, compared to 32,000 which is represented by 3.2 x 10⁴. The exponent indicates the number of zeroes to follow the digit.
Explanation:
To determine which number is larger between 3.2 x 10⁴ and 3.2 x 10⁵, we need to understand the notation being used. In scientific notation, the number 10 raised to an exponent indicates how many places to move the decimal point. The larger the exponent, the larger the value.
For 3.2 x 10⁴, it means we have a 3.2 followed by 4 zeros, which is equal to 32,000. In contrast, 3.2 x 10⁵ means we have a 3.2 followed by 5 zeros, which is equal to 320,000. Clearly, 320,000 is larger than 32,000.
Thus, 3.2 x 10⁵ is larger than 3.2 x 10⁴.
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a
width of 2 inches, and a height of 2 1/2
inches. What is the surface area?
The surface area of the box is_____ square inches.
plzzz
Answer:
18
Step-by-step explanation:
Answer:
The answer is 91
Step-by-step explanation:
What is the circumference of the base?
A)37.23
B)40.80
C)43.96
D)52.34
Answer:
43.96 or c
Step-by-step explanation: formula is d times pi and that gives you c hope this helps god bless
What number is 40% of 25? ___ is 40% of 25.
Answer:
10
Step-by-step explanation:
Common sense. (also I used Google)
Answer:
De Answer is ♥ 10 ♥
( If Wrong Den Me Sowwy )
When do you use the 1+ and 1-? in Exponential Functions
A.When there is a percent
B. All of the time
C. Never
Answer:
B. All of the time
Here are the monthly charges for Jo's mobile phone.
Monthly charge £16
150 free minutes, then 13p per minute
150 free texts, then 15p per text
During one month, Jo makes 170 minutes of calls and sends 182 texts.
Work out the total charge for the month.
In details pls.
Answer:
£23.40 total for month.
Step-by-step explanation:
£16 for the monthly fee
170 mins - 150 = 20 extra mins = 20 × 13 = 260p or £2.60 for extra mins
182 mins - 150 = 32 extra mins = 32 × 15 = 480p or £4.80 for extra texts
16 + 2.60 + 4.80 = £23.40 total for month.
Problem PageQuestion
Suppose that the heights of adult women in the United States are normally distributed with a mean of 65 inches and a standard deviation of 2.4 inches. Jennifer is taller than 70% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Final answer:
Jennifer is 66.3 inches tall; this is calculated by finding the z-score for the 70th percentile and using it with the mean and standard deviation of the population.
Explanation:
To determine how tall Jennifer is, given that she is taller than 70% of the population of U.S. women, we need to find the corresponding z-score that reflects the 70th percentile of a normal distribution, and then use it to calculate her height.
Firstly, using a standard normal distribution table or a calculator, we find the z-score that corresponds to the 70th percentile. Generally, this z-score is around 0.5244 (this can vary slightly depending on the table or technology used to find it). Now we apply the formula for converting a z-score to the actual score using the population mean and standard deviation:
Height = mean + (z-score × standard deviation)
Plugging in the values for the population mean and standard deviation:
Height = 65 + (0.5244 × 2.4)
Height = 65 + 1.2586
Height = 66.2586 inches
After rounding, we conclude that Jennifer is 66.3 inches tall.
In the given case, Jennifer's height is approximately 66.3 inches.
To find Jennifer's height, we need to find the z-score corresponding to the 70th percentile (as she is taller than 70% of the population) and then use that z-score to find her height.
The z-score formula is:
[tex]\[ z = \frac{x - \mu}{\sigma} \][/tex]
First, we find the z-score corresponding to the 70th percentile using a standard normal distribution table or calculator.
A z-score of approximately \(0.5244\) corresponds to the 70th percentile.
Now, we can use the z-score formula to find Jennifer's height x
[tex]\[ 0.5244 = \frac{x - 65}{2.4} \][/tex]
[tex]\[ x \approx 66.2586 \][/tex]
Rounded to one decimal place, Jennifer's height is approximately 66.3 inches.
s=4lw+2wh; s=200, l=9, w=5
Answer:
2
Step-by-step explanation:
200=4(5)(9)+2(5)h
Simplify:
200=20(9)+10h
200=180+10h
Subtract 180 on both sides:
20=10h
Divide by 10:
h=2
-5(-4x-2)=-2(5-5x) this is an equation for 8th grade math
Step-by-step explanation:
20x + 10 = 10 - 10x
Now bringing like terms on one side
20x + 10x = 10 - 10
30x = 0
x = - 30
Answer:
Step-by-step explanation:
-5(-4x-2)=-2(5-5x)
20x+10=-10+10x
20x-10x=-10-10
10x=-20
x=-2
Where did Cailou come from?
Answer:
its canadian
Step-by-step explanation:
Find the solution to the following system using substitution or
elimination:
y = 2x – 1
y = 5x – 7
Answer:
x = 2
y = 3
Step-by-step explanation:
y = 2x – 1
y - 2x = -1
y = 5x – 7
y - 5x = -7
y - 2x = -1
y - 5x = -7
_________--
3x = 6
x = 6/3
x = 2
y = 2x – 1
y = 2(2) - 1
y = 4 - 1
y = 3
[tex]x=2\\y=3[/tex]
Substitution method:The substitution method is one approach to take into consideration. When one equation with one variable is solved, this expression is then used in the other equation. The substitution method entails solving for a single variable before inserting the solution into the other equation.Elimination method:To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are inequality.Solution - (Through substitution method)Given -
[tex]y=2x-1\\y=5x-7[/tex]
So, substitute [tex]y=2x-1[/tex] in [tex]y=5x-7[/tex].
[tex]y=5x-7\\2x-1=5x-7\\5x-2x-7+1=0\\3x-6=0\\3x=6\\x=\frac{6}{3} \\x=2[/tex]
Now, substitute [tex]x=2[/tex] in [tex]y=2x-1[/tex].
[tex]y=2x-1\\y=2(2)-1\\y=4-1\\y=3[/tex]
Therefore, [tex]x=2[/tex] and [tex]y=3[/tex].
Know more about the substitution method here:
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When calculating total gross pay, you should ___
A) use only your hourly wage
B)use your hourly wage and tips
C) use only your tips
D) use your hourly wage and tips minus any deductions
Final answer:
To calculate total gross pay, sum the hourly wage and tips earned. This sum represents the entire earnings before any deductions such as tax or social security are taken into account. Thus, option b is correct.
Explanation:
When calculating total gross pay, you should use your hourly wage and tips. The gross pay represents the total amount earned before any deductions, such as taxes or social security, are subtracted. To find the total gross pay, simply add the total amount of earned hourly wage to the amount received from tips.
For instance, if an employee receives $15 per hour and works for 8 hours and also earns $40 in tips, their gross pay for that day would be:
Hourly wage: $15/hour x 8 hours = $120
Tips: $40
So, the total gross pay would be $120 + $40 = $160 for that day.
So, option b is correct.
A scientist studies a pod of humpback whales to determine the
migration of humpback whales. What is the sample?
A. all humpback whales
B. dolphins
C. a pod of him back whales
D. all whales
Answer:
C. A pod of humpback whales
The scientists is trying to draw a conclusion about all humpback whales by looking at the behaviors of a pod of humpback whales.
11) Solve the system by the elimination method. Check the solution.
x + 5y = 25
3x + 4y = 20
Step-by-step explanation:
I hope this is what you need
PLEASE MAKE ME BRAINLIEST
Jim has 4 New York quarters, 3 Pennsylvania quarters, and 3 Virginia quarters in his pocket. What is the probability that he will get a Pennsylvania quarter followed by a Virginia quarter when he pulls two quarters out of his pocket?
1/10 or 10%.
First, you add up all the quarters to get the total amount of possibilities for the first quarter that gets pulled out.
4 NY + 3 PA + 3 VI = 10 total quarters.
So the total number of quarters becomes the denominator for the first probability, and the total number of PA quarters becomes the numerator.
So the probability of Jim pulling out a PA quarter first is 3/10.
Now you have to find the probability of drawing a VI quarter as the second quarter. Since it's known that Jim would have already pulled 1 quarter out, that means the total number of quarters he could draw is now 9, so 9 would be the denominator of the second probability. Since there should be 3 VI quarters left still in his pocket, the numerator for the second probability is 3.
So the probability of Jim pulling out a VI quarter second is 3/9.
Now to get the final probability of Jim pulling out both a PA quarter and a VI quarter in the correct order, all you have to do is multiply the two probabilities together and then you should get the probability of the correct quarters being pulled out inn the correct order.
The first probability, 3/10, times the second probability, 3/9 equals the total probability of 9/90, and it simplifies to 1/10 or 10%
7. Given f(x) = x 3 (x +
5)2( 2 x-7)
a) What is the degree of this polynomial?
b) List the real zero's of f. Give the multiplicity of each zero.
c) Does the graph off touch or cross the x-axis at each zero?
d) Determine the 'end behavior' of this function. Find the monomial power function that the graph off
resembles for very large positive or negative values of x.
Answer:
a) 6.
b) 0 (multiplicity 3), -5 (multiplicity 2) and 7/2.
c) and (d) - See below.
Step-by-step explanation:
(a) f(x) = x^3(x + 5)^2 (2x - 7)
The highest degree of x (= x^3*x^2*x) = 3+2+1 = 6.
(b) The zeros are 0 ( from the x^3 = 0) multiplicity 3, from x + 5 = 0 we have -5 (multiplicity 2) and from 2x - 7 =0, 7/2.
(C) The graph just touches the x axis at (-5, 0) and pass through at (0,0) and (7/2, 0).
(d) The graph rises to the left for very large negative values of x and falls to the right at very large values of x.
At the extreme ends this graph resembles the graph of -x^3.
at a currency exchange,11 U.S. dollars can be exchanged for 10Euros. How many Euros will you receive for 1 U.S. dollars?
Answer:
.92 euros
Step-by-step explanation:
Answer:
$0.90
Step-by-step explanation:
10:11 = 1:1.1
?:1
Euros = U.S Dollars - 0.10
0.90:1
solve for x.
3x − 2(x + 3) = 5 − 2x
Answer:
3 2/3
Step-by-step explanation:
An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equation represents the total cost, C, of the installation after h hours of labor?
a C = 18 + 65h
b C = 65 - 18h
c C = 18h - 65
d C = 65 + 18h
Answer:
D
Step-by-step explanation:
65 is your "b" value in this linear equation
18 is your slope
Determine the slope
Y=7/1x+10
Step-by-step explanation:
can someone please explain i’m confused
I think the answer is 3,053.628.
Answer:
3050
Step-by-step explanation:
V=4 /3xπxr/\3=4
3·π·93≈3053.62806
I NEED HELP, I NEED TO SHOW WORK
Answer: 9 over 12 is = 15 over x
Step-by-step explanation: