Answer:
43.96 inches
Step-by-step explanation:
when you have the diameter of a circle, you just multiply it by pi and you will get the answer. since your diameter is 14, you multiply it by 3.14 and you will get 43.96 inches
Using π as 3.14, the circumference of the circle with a diameter of 14 inches is approximately 43.96 inches. This level of precision is suitable for most practical applications.
To find the circumference (C) of a circle, you can use the formula C = πd, where d is the diameter. In this case, the diameter is given as 14 inches.
Given the options of using either 22/7 or 3.14 for π, let's use 3.14 for this calculation.
C = 3.14 × 14
≈ 43.96 inches
Therefore, the circumference of the circle is approximately 43.96 inches when using π as 3.14. This means that if you were to wrap a string around the edge of the circle, it would take nearly 43.96 inches of string to complete one full loop.
It's important to note that using 22/7 for π is another approximation and yields a slightly different result, but for most practical purposes, 3.14 is accurate enough.
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2 Points
If the formula 1 = $ x; is used to find the mean of the following sample,
what is the value of n?
2, 63, 88, 10, 72,99
A. 8
B. 5
C. 7
D. 6
Answer:
7
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
!!!!!!!!!! 18 POINTS!!!!!!!!!!!
Write an equation in slope-intercept form that is parallel to the given graph going through the point (-3, 4).
Answer:
y=-3+4
Step-by-step explanation:
Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000.
The inequality 2764 + x Greater-than-or-equal-to 5000 can be used to determine the amount of money the family still needs to save. What is the solution to the inequality?
x Greater-than-or-equal-to 2236
x Greater-than-or-equal-to 7764
x Less-than-or-equal-to 2236
x Less-than-or-equal-to 7764
Answer:
Its A
Step-by-step explanation:
Got it right on EDGE 2021 :D
Answer: A
Step-by-step explanation:
hope this helps and here is proof
Here are two steps from the derivation of the quadratic formula. What room place between the first step and the second step?
Answer:
Step-by-step explanation:
The problem solver "completed the square." He or she took half of the coefficient of x and squared the result, and then added this square and subtracted this square to/from both sides of the equation.
Answer:
A.
Step-by-step explanation:
just did it
Find the area and perimeter of the rectangle with vertices (5,3), (5,-4), (1,-4), (1,3)
Answer:
p=22 a=28
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answer:
27/12
Step-by-step explanation:
Answer:
27/12
Step-by-step explanation:
Help with this question please1
Answer:
(-2,8)
Step-by-step explanation:
3x+3y = 18
2x+y = 4
Multiply the second equation by -3
-3(2x+y) = -3*4
-6x-3y = -12
Add this to the first equation
3x+3y = 18
-6x-3y = -12
-------------------------
-3x = 6
Divide each side by -3
-3x/-3 = 6/-3
x = -2
Now solve for y
2x+y = 4
2(-2) +y = 4
-4+y =4
Add 4 to each side
-4+4+y = 4+4
y =8
Answer:
(-2,8)
Step-by-step explanation:
3x + 3y = 18 (1)
2x + y = 4 (2)
(1) - 3(2)
3x + 3y = 18
-(6x + 3y = 12)
-3x = 6
x = -2
Using (2)
2(-2) + y = 4
-4 + y = 4
y = 8
Carol has had a $145,000 fixed-rate mortgage for 5 years at 6.25% and is
considering refinancing. She can now get an 80/20 mortgage with 4.5% and
9.5% interest, respectively. Based only on this information, should she
refinance?
A. No; she has too much equity built up in the house.
B. No; the two blended interest rates are the same.
C. No; the new blended interest rate is higher than the old interest
rate.
D. Yes; the new blended interest rate is lower than the old blended
interest rate.
Carol should refinance is D. Yes; the new blended interest rate is lower than the old interest rate.
First, let's understand the 80/20 mortgage breakdown:
80% of the mortgage at 4.5% interest20% of the mortgage at 9.5% interestNext, we calculate the blended interest rate for the new mortgage:
[tex]\text{Blended Rate} = (0.80 \times 4.5\%) + (0.20 \times 9.5\%)[/tex]
a. Calculate each part:
[tex]0.80 \times 4.5\% = 3.6\%[/tex][tex]0.20 \times 9.5\% = 1.9\%[/tex]b. Add these results to get the blended rate:
[tex]3.6\% + 1.9\% = 5.5\%[/tex]
So, the blended interest rate for the new mortgage is 5.5%.
Now, compare this with Carol's current fixed-rate mortgage interest rate of 6.25%:
Current interest rate: 6.25%New blended interest rate: 5.5%The new blended interest rate (5.5%) is lower than the old interest rate (6.25%). Therefore, based on the interest rates alone, Carol should refinance.
. Select ALL the true statements. There is more than one answer. *
Given a box plot, it is always possible to calculate the mean of the data.
Given a box plot, it is always possible to calculate the median of the data.
Given a box plot, it is always possible to construct a corresponding dot plot.
Given a dot plot, it is always possible to construct a corresponding box plot.
Please help as soon as possible.
Answer: 618400 and 10 to the power of 5 has 5 zeros.
What is the distance between (-1,3) and (3,5)
Jan is the regional manager of Graphic DesignWorks. She uses a company
cell phone that costs $125 each month. She manages 5 branches of Graphic
DesignWorks equally. How much of her annual cell phone bill will each branch
pay for?
a. 125
b.150
c.500
d.300
Answer:
$300.00
Step-by-step explanation:
If each branch pays the bill equally, and the bill accounts for a year's worth of pay, then you should multiply 125*12~giving you 1500
Then you divide 1500/5, since the 5 company's pay equally... this is equal to 300 dollars.
Answer:
d.300Step-by-step explanation:
Jean-Patrick found an old unopened bag of lawn fertilizer in his shed. The bag weighs 36 pounds, and the instructions claim
it can cover 10,000 ft2. If his lawn is 7,000 ftz, how many pounds will he need? Round to the nearest tenth if needed.
Answer:
He needs to use 25.2 pounds to fertilize his lawn.
Step-by-step explanation:
In order to solve this problem we can use a rule of three in such a way that the content of the bag (36 pounds) can cover 10,000 ft² in the same proportion as "x" pounds can cover 7,000 ft², where "x" is the amount of fertilizer he needs to use.
36 pounds -> 10,000 ft²
x pounds -> 7,000 ft²
36/x = 10000/7000
10000*x = 36*7000
x = 36*7000/10000
x = 25.2 pounds
He needs to use 25.2 pounds to fertilize his lawn.
Answer: He will need to use 25.2 pounds on his lawn.
Step-by-step explanation: If Jean-Patrick found a bag that contains 36 pounds worth of fertilizer and it can cover 10000 square feet of earth, then he needs to find out how many square feet of earth can be covered by just one pound of fertilizer.
After that, he can multiply that portion by 7000 feet to determine how many pounds in total he would need for his lawn.
To cover one square foot of earth, he would need;
1 ft = 36/10000
1 ft = 0.0036
That means for each square foot of earth, he would need 0.0036 pound of fertilizer. In order to fertilize 7000 square feet of earth, he would need the following
Total = 0.0036 x 7000
Total = 25.2
Jean-Patrick would need 25.2 pounds of fertilizer for his lawn
|BRAINLIEST|
Sarah cuts a shoelace that is 1/2 yard long into 4 equal pieces.
What is the length of each piece of shoelace?
Enter your answer as a fraction in simplest form by filling in the boxes.
Answer:
1/8
Step-by-step explanation:
you just divide the fraction by 4 lol
Answer:
each piece is 12.5
Step-by-step explanation:
make me brainliest please
ASAP ASAP ASAP asap help me
Answer:
16
Step-by-step explanation:
We can use the Pythagorean theorem to find the height
a^2 + b^2 = c^2 with a and b legs and c the hypotenuse
The triangle is a right triangle with legs GH and FG and hypotenuse FH
FG^2 + GH^2 = FH^2
FG ^2 + 12^2 = 20^2
FG^2 +144 = 400
Subtract 144 from each side
FG^2 +144-144 = 400-144
FG^2 =256
Take the square root of each side
sqrt(FG^2) =sqrt(256)
FG = 16
Answer:
16
Step-by-step explanation:
Use the slanted height of 20ft
Calculate the volume of the composite solid. Round your answer to the nearest hundredth.
A. 2,155.48 m
B. 2,255.48 m
C. 2,515.48 m
D. 2,551.48 m
Answer:A
Step-by-step explanation:
The volume of the composite solid is A---2,155.48 m
For this case we have that by definition, the volume of a cylinder is given by:
[tex]V = \pi * r^{2} *h[/tex]
Where:
V: It's the volume
r: It is the radius of the cylinder
h: It is the height of the cylinder
We have to:
[tex]V = \pi * (7.2)^{2} * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 m^{3}[/tex]
On the other hand, the volume of the cone is given by:
[tex]V = \frac{\pi * r^{2} * h }{3}[/tex]
V: It's the volume
r: It is the cone radius
h: It is the height of the cone
We have:
[tex]V = \frac{\pi * (7.2)^{2} * 11 }{3}[/tex]
[tex]V = \frac{\pi * 51.84 * 11 }{3}[/tex]
[tex]V = 597.153931594347 m^{3}[/tex]
Thus, the total volume is given by:
[tex]V = 2551.47588954 m^{3}[/tex]
If we round up we have:
[tex]V = 2551.48 m^{3}[/tex]
What is a composite solid?A composite solid is a solid that is composed, or made up of, two or more solids. The solids that it is made up of are generally prisms, pyramids, cones, cylinders, and spheres.Learn more about Volume of Composite Solid here:
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Use the data on the dot plot to answer the question.
How many people read for more than three hours last week?
100pt
Answer:
14 people read more thin 3 hours
Step-by-step explanation:
Answer:
it is 14
Step-by-step explanation:
hope this helps. :)
In a certain normal distribution of scores, the mean is 40 and the standard deviation is 3. Find the z-score corresponding to a score of 54.
a. 4.67
c. 4.67
b. 18.0
d. 13.33
Please select the best answer from the choices provided
Answer:
choice a.) 4.67
Step-by-step explanation:
Using the Z-score table.
We have:
mean u = 40
standard deviation s = 3
for X = 54
Use formula for Z-score: Z = (X -u)/s
Z-score = Z = (X - u)/s = (54 - 40)/3 = 14/3 = 4.6667
P(Z > 4.6667) = 0.000003 very close to 0
Identify the vertex of the graph. Tell whether it is a minimum or maximum. Answers
a. (-4,2); minimum
b. (2,-4); maximum
c. (-4,2); maximum
d. (2,-4); minimum
Answer:
D
Step-by-step explanation:
The vertex is the turning point of the graph.
This is at (- 1, - 2)
The graph changes from decreasing to increasing at (- 1, - 2)
Hence is a minimum at (- 1, - 2)
The point lies above the point (0, -2), indicating a maximum value based on the behavior of the graph. The correct answer is b. (2, -4); maximum.
To identify the vertex of the graph and determine whether it is a minimum or maximum, we need to examine the coordinates provided and understand the behavior of the graph around those points.
Understand the behavior of the graph:
Since the graph cuts the x-axis at (-1, 0) and the y-axis at (0, -2), and it is mentioned that the vertex lies on the graph, we know that the vertex must be somewhere between these two points.
Identify the vertex from the given options:
a. (-4, 2); minimum
b. (2, -4); maximum
c. (-4, 2); maximum
d. (2, -4); minimum
Plot the given points and analyze the behavior:
Start by plotting the points (0, -2) and (-1, 0) on the graph.
Option b (2, -4) lies above the point (0, -2), indicating a maximum, while option a (-4, 2) lies below the point (-1, 0), indicating a minimum.
Verify the choice:
To confirm, calculate the value of the function at each vertex.
If the y-coordinate of the vertex is greater than the y-coordinate of the points on either side, it's a maximum; if it's smaller, it's a minimum.
For option b (2, -4):
The y-coordinate of the vertex (-4) is less than the y-coordinate of the points on either side (-2 and 0), indicating a maximum.
For option a (-4, 2):
The y-coordinate of the vertex (2) is greater than the y-coordinate of the point (-2) on the left, indicating it cannot be a minimum.
Therefore, option b (2, -4) is the correct choice: It represents a maximum point on the graph, which aligns with the behavior described in the problem statement and observed on the graph.
Help looks like i forgot to read a ruler
Answer:
4 1/4
Step-by-step explanation:
it looks like 4 and 1/4
Answer:
D. 4 1/4
Step-by-step explanation:
hope it helps!! good luck:)
2. In the diagram, m XYZ = 115° and m WXY = 45°.
What is m XWY?
Answer:
70°
Step-by-step explanation:
The exterior angle XYZ is the sum of the remote interior angles, W and X.
115° = 45° + ∠W
∠W = 115° -45°
∠W = 70°
Solve the system by the substitution 2x-5y=-6 y=3x-4
Answer:(2,2)
Step-by-step explanation:
he depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.25 inches.
What value is one standard deviation below the mean?
2.25
What value is one standard deviation above the mean?
What is the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 inches?
Hint: Read the section on the empirical rule.
Answer:
) mu-x = 1sigma = 0.25
x = mu - 0.25 = 2.5 - 0.25 = 2.25
2) x-mu = 1 sigma = 0.25
x = mu + 0.25 = 2.5+0.25 = 2.75
3) do you know if you have to use the empirical rule?
By the empirical rule, 68 percent data lies between +/- 1 sigma. So the answer is 68%
Step-by-step explanation
Final answer:
One standard deviation below the mean snow depth is 2.25 inches, and one standard deviation above is 2.75 inches. Using the empirical rule, there is a 68% probability that a random snow depth will be between 2.25 and 2.75 inches when the snow depth is normally distributed with a mean of 2.5 inches and a standard deviation of 0.25.
Explanation:
The depth of the snow in a yard that is normally distributed has a mean (μ) of 2.5 inches and a standard deviation (σ) of 0.25 inches.
Answering the first part of your question, if you are looking for one standard deviation below the mean, you would subtract the standard deviation from the mean, which gives 2.5 - 0.25 = 2.25 inches. This is the value that you provided.
For the second part, you need to calculate one standard deviation above the mean, which is similarly done by adding the standard deviation to the mean. Thus, 2.5 + 0.25 = 2.75 inches.
Regarding the probability that a randomly chosen location will have a snow depth between 2.25 and 2.75 inches, according to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.
Therefore, there is a 68% probability that a randomly selected location will have a snow depth between 2.25 inches (one standard deviation below the mean) and 2.75 inches (one standard deviation above the mean).
Choose the function that is graped below. Choose 1 answer
A:y=5*5^x
B:y=10^x
C:y=5*2^x
Answer:
c) y=5(2^x)
Step-by-step explanation:
the other ones dont line up
Which of the following describes two dependent events? (Probability)
A: Flipping a coin twice and getting tails both times.
B: Picking a card from a deck twice and getting a jack both times.
Answer:
B
it seems like it's two dependent events
The pair of linear equations 6 x + 4 y = 5 and 3 x + 2 y = 10 is *
1 point
Consistent and independent
Inconsistent
Consistent and dependent
None of these
Answer:
i think the answer is c Consistent and dependent
Step-by-step explanation:
Answer:
Inconsistent
Step-by-step explanation:
6x + 4y = 5
And
3x + 2y = 10
Are two distinct parallel lines, hence they never meet.
The system has no solution, therefore it's inconsistent
The masses of six chairs are 34.5 kilograms, 42.6 k, 39.8 k, 40.1 k, 53.4 k 33.8 k. Find the mean mass.
Answer:
41.9
Step-by-step explanation:
Answer:
40.7
Step-by-step explanation:
add all of the masses together and the divide that answer by how many chairs there are
i need help please this math thing is due in today
Answer:
50.75 × 0.18 = 10.2
196 ÷ 0.499 = 400
Step-by-step explanation:
can i get branliest
1) 2(x - 5) + 7 = x + 8
what is x
2) 5(x - 1) - 6x = -11x
what is x
Answer:
x = 11
1/2 =x
Step-by-step explanation:
1) 2(x - 5) + 7 = x + 8
Distribute
2x-10+7 = x+8
Combine like terms
2x -3 = x+8
Subtract x from each side
2x-x-3 = x+8-8
x -3 = 8
Add 3 to each side
x-3+3 = 8+3
x = 11
2) 5(x - 1) - 6x = -11x
Distribute
5x-5-6x = -11x
Combine like terms
-x-5 = -11
Add x to each side
-x+x -5 = -11x +x
-5 = -10x
Divide each side by -10
-5/-10 = -10x/-10
1/2 =x
Answer:
1) x = 11
2) x = ½
Step-by-step explanation:
1) 2(x - 5) + 7 = x + 8
2x - 10 + 7 = x + 8
2x - 3 = x + 8
x = 11
2) 5(x - 1) - 6x = -11x
5x - 5 - 6x = -11x
-5 - x = -11x
10x = 5
x = ½
6+2x ² in standard form
Answer:
2x^(2)+x-6
Step-by-step explanation: