Answer:
3ft
Step-by-step explanation:
it takes a while to explain and I dont have much time, but the answer is 3
What is the area of a circle with a diameter of 37 inches?
in²
(Use 3.14 for Pi.)
Answer:
1073.45 in²
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
What is the diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
The equation to solve for the area of a circle is:
π × \(r^{2}\) = Area of a circleBut wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:
diameter ÷ 2 = radiusNow that we know this, we can insert 37 in for the diameter:
37 ÷ 2 = 18.5So, the radius of the circle is 18.5 inches.
Inserting 18.5 into the expression for the radius:
π × \(18.5^{2}\) =Using 3.14 for pi:
3.14 × \(18.5^{2}\) = 1073.45 in²Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².
Hurricane Maria killed 3,057 people. Round this to the nearest ten, and thousand.
Answer:
rounded to nearest ten - 3,060
rounded to nearest thousand - 3,000
These should be the answers. Hope this helps!
What fraction of 2 minutes is 6
seconds?
Answer:
1/20 of 2 minutes = 6 seconds
Answer:
1/20; 0.05; 5%
Step-by-step explanation:
Well, 2 minutes is 120 seconds, 6/120 simplified is 1/20, and decimal form would be 0.05, which is 5%
Use the parallelogram to find m
m
Using the parallelogram law to find m, the value of m is 50°.
What is the parallelogram law?The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.
The parallelogram must have equal opposed sides in Euclidean geometry.
If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = (AC)² + (BD)²
If the parallelogram is a rectangle, the parallelogram law is stated as:
2(AB)² + 2 (BC)² = 2(AC)²
The value of the unknown angles in the parallelogram are as follows:
CED = 180 - (60 + 33 + 37)
CED = 50°
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Find the value of $1000 deposited for 5 years in an account paying 8% annual interest compounded
Answer: 2%
Step-by-step explanation: i looked it up
Justin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennisport in 30 minutes.
What was Justin’s average speed on his was from Hyannis to Dennisport?
What was Justin’s average speed on his trip from Boston to Dennisport?
Justin’s average speed on his was from Hyannis to Dennisport will be \(20\) miles per hour and average speed on his trip from Boston to Dennisport will be \(35\frac{5}{9}\) miles per hour.
What is average speed ?Average speed is s the total distance traveled by the object in a particular time interval.
Average speed \(=\frac{Total\ Distance}{Total\ Time}\)
We have,
Distance from Boston to Hyannis \(=70\) miles
Time from Boston to Hyannis \(=1\ hr\ and \ 45\ minutes = 105\ minutes\)
Distance from Hyannis to Dennisport \(=10\) miles
Time from Hyannis to Dennisport \(=30\) minutes
So,
Total distance travelled \(=70+10=80\) miles
Total time taken \(=105+30=135\ minutes\)
\(= \frac{135}{60} \ hours= \frac{9}{4}\ hours\)
So,
Average speed on his was from Hyannis to Dennisport \(= \frac{10}{\frac{30}{60} }\)
\(=\frac{60}{3}=20\) miles per hour
And,
Average speed on his trip from Boston to Dennisport \(=\frac{80}{\frac{9}{4} }\)
\(=35\frac{5}{9}\) miles per hour
Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be \(2\)miles per hour and average speed on his trip from Boston to Dennisport will be \(35\frac{5}{9}\) miles per hour.
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Need help
Simplify: (-√x-4)^2
If The difference of a number and ten is tripled, the result is 4 more than the number. Find the number
Answer:
x=13
Step-by-step explanation:
3(x-10)=x+4
3x-30=x-4
3x=x+26
2x=26
x=13
hello i need help pls
Answer:
1. 3
2. 3
3. 18
Step-by-step explanation:
Answer:
A = 3
B = 3
C = 18
have a nice day!
:)
can you help me I just need the answer
Answer:
im pretty sure it's D.
Step-by-step explanation:
how to represent with an integer mary moves 3 steps backward as she dances
Answer:
-3
Step-by-step explanation:
As she moves back, so it will be negative.
Since she moves back 3 steps, it will be -3.
Hope it helps :)
Please mark my answer as the berainliest
Answer:
-3
itwaseasy...............
6.Calcular: 2^3 ; (-2)^3; ; -2^3 *
Answer:
90-8y66697u
Step-by-step explanation
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
solution to 3/x + 2/(x+1) = 3/5x?
9514 1404 393
Answer:
x = -6/11
Step-by-step explanation:
We assume you want the solution to ...
3/x +2/(x+1) = 3/(5x)
Subtracting the term on the right, we get the form f(x) = 0.
\(\displaystyle\frac{3}{x}+\frac{2}{x+1}-\frac{3}{5x}=0\\\\\frac{15-3}{5x}+\frac{2}{x+1}=0\\\\\frac{12(x+1)+10x}{5x(x+1)}=0\\\\22x+12=0\quad\text{numerator must be zero}\\\\x+\frac{6}{11}=0\quad\text{divide by 22, simplify}\\\\\boxed{x=-\frac{6}{11}}\)
_____
If you really intend 3/x +2/(x+1) = (3/5)x as you have written, the solution is 3 irrational values for x. I find a graphing calculator a convenient way to find them.
6. Meryll made a pancake with a circumference of 125.6 cm. What is its area? (A) 884 cm² (B) 1 256 cm² (C) 1 468 cm²
Answer:
(B) 1256 cm²---------------
Let the radius be r.
Use circumference formula and find the value of r:
C = 2πr125.6 = 2*3.14rr = 125.6/6.28r = 20Find the area using the circle area formula:
A = πr²A = 3.14*20²A = 1256The matching choice is (B).
Answer:
Step-by-step explanation:
Solve the following system of equations using either Gaussian elimination or a
matrix. Write your answer as a point and explain how you would check your work:
2x-y + 4z = 33
x + 2y-3z = -26
-5x - 3y + 5z = 23
Using Gaussian elimination, the solution to the given system of equations is given as follows:
x = 5, y = -11, z = 3.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
For this problem, the variables are x, y and z, and the system is given as follows:
2x - y + 4z = 33.x + 2y - 3z = -26.-5x - 3y + 5z = 23.There are multiple ways in which a system can be solved, and for this one, Gaussian elimination will be used.
The first step is writing the augmented matrix of the system, as follows:
\(\left[\begin{array}{cccc}2&-1&4&33\\1&2&-3&-26\\-5&-3&5&23\end{array}\right]\)
Then, the first column, which is equivalent to be coefficient of y, has to be of zero on the second and on the third row, hence:
R2 -> 2R2 - R1.R3 -> 5R1 + 2R3.The updated matrix will be given by:
\(\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&-11&30&211\end{array}\right]\)
Then, the second column, equivalent to the coefficient of y, on the third row has to be zero, hence:
R3 -> 11R2 + 5R3.
Then the matrix is:
\(\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&0&40&120\end{array}\right]\)
From each row of the system, from bottom up, we find the variables, as follows:
40z = 120
z = 120/40
z = 3.
5y - 10z = -85
5y - 30 = -85
5y = -55
y = -11.
2x - y + 4z = 33
2x + 11 + 12 = 33
2x = 10
x = 5.
Hence the solution for the system is:
x = 5, y = -11, z = 3.
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Use the magnitudes (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set. Is the magnitude of an earthquake measuring 7.0 on the Richter scale an outlier (data value that is very far away from the others) when considered in the context of the sample data given in this data set? Explain.
Answer:
\(\bar x = 1.4896\)
\(Median = 1.525\)
7 is an outlier
Step-by-step explanation:
Given
See comment for dataset
Solving (a): The mean
The mean is calculated as:
\(\bar x = \frac{\sum x}{n}\)
So, we have:
\(\bar x = \frac{2.53 +1.33 +0.64 +2.55 +0.67 +0.57 +............+2.03 +1.78}{50}\)
\(\bar x = \frac{74.48}{50}\)
\(\bar x = 1.4896\)
Solving (b): The median
First, we sort the data:
\(0.01, 0.01, 0.08, 0.14, 0.24, 0.35, 0.57, 0.64, 0.65, 0.67,\)
\(0.69, 0.74, 0.81, 0.82, 0.92, 0.99, 1.01, 1.04, 1.15, 1.16, 1.33,\)
\(1.41, 1.45, 1.48, 1.52, 1.53, 1.58, 1.61, 1.62, 1.73, 1.77, 1.78, 1.84,\)
\(1.98, 2.01, 2.02, 2.03, 2.06, 2.06, 2.31, 2.41, 2.53, 2.55, 2.59,\)
\(2.66, 2.74, 2.74, 2.77, 2.77, 2.91\)
The median position is:
\(Median = \frac{n + 1}{2}\)
\(Median = \frac{50 + 1}{2}\)
\(Median = \frac{51}{2}\)
\(Median = 25.5th\)
This means that the median is the average of the 25th and the 26th item.
So:
\(Median = \frac{1.52+1.53}{2}\)
\(Median = \frac{3.05}{2}\)
\(Median = 1.525\)
Solving (c): Is 7 an outlier
Yes; 7 is an outlier.
Because the range of the dataset (0.01 to 2.92) is far from 7.
8y + 15x + 3y - 12x - 3x
Answer:
11y is the exact value.
Step-by-step explanation:
The sides of the square shown below have a length of
2v3
. What would be the length of a diagonal across the square?
Answer:2\(\sqrt{6}\)because it is a 45 45 90
Step-by-step explanation:
(PLEASE ANSWER ASAP)
Answer:
alternate interior angles are congruent
What is (I^2)+(I^2)+3x if x=I^2?
Show your work.
Answer:
-5
Step-by-step explanation:
(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5
ANSWER ASAP I WILL GIVE BRAINLIST
Answer:
its upside down
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer:
-2/x²-1
Step-by-step explanation:
p(x)-q(x)
(1/x+1) - (1/x-1)
(x-1)/((x+1)(x-1)) - (x+1)/((x+1)(x-1))
x-1-x-1 / x²-1
-2/x²-1
*
87-1 = 25+2 simplifies to :
Answer:
175 /2
Step-by-step explanation:
f(x)=7x+3 and g(x)=-6x-8, find (f•g)(x) and (f•g)(-1)
Answer:
\((f*g)(x)=-42x^2-74x-24\)
\((f*g)(-1)=8\)
Step-by-step explanation:
\(f(x)=7x+3\\ g(x)=-6x-8\)
\((f*g)(x)=(7x+3)(-6x-8)\\(f*g)(x)=-42x^2-56x-18x-24\\(f*g)(x)=-42x^2-74x-24\)
Now;
\((f*g)(-1)=-42x^2-74x-24\\(f*g)(-1)=-42(-1)^2-74(-1)-24\\(f*g)(-1)=-42(1)+74-24\\(f*g)(-1)=-42+50\\(f*g)(-1)=8\)
There are 8 ounces in a cup, 2 cups in a pint, 2 pints in a quart, and 4 quarts in a gallon.
1 L ≈ 0.26 gallons
6 kL ≈ fl oz
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
We have,
To convert 6 kiloliters (kL) to fluid ounces (fl oz), we need to use the conversion factor between these two units.
The conversion factor states that 1 kiloliter is equal to 33814.0227 fluid ounces.
This means that for every kiloliter, there are 33814.0227 fluid ounces.
To convert 6 kiloliters to fluid ounces, we multiply the given value (6 kL) by the conversion factor (33814.0227 fl oz/kL).
= 6 kL x 33814.0227 fl oz/kL
= 202884.1362 fl oz
Therefore,
6 kiloliters are approximately equal to 202,884.14 fluid ounces.
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Need the answer to this pls
Answer:
0
Step-by-step explanation:
1. First, we should know the slope-intercept form of any equation: y = mx + b.
y = y-coordinatem = slopex = x-coordinateb = y-intercept2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.
Additionally, this is a proportional relationship because it follows the format y = kx. Proportional relationships always have a y-intercept of 0.Therefore, the y-intercept is 0.
Determine the appropriate test to be used in the next statements.
An archeologist is calculating the distribution of the frequency of the number of artifacts she finds in a dig site. Based on previous digs, the archeologist creates an expected distribution broken down by grid sections in the dig site. Once the site has been fully excavated, she compares the actual number of artifacts found in each grid section to see if her expectation was accurate.
An economist is deriving a model to predict outcomes on the stock market. He creates a list of expected points on the stock market index for the next two weeks. At the close of each day’s trading, he records the actual points on the index. He wants to see how well his model matched what actually happened.
A personal trainer is putting together a weight-lifting program for her clients. For a 90-day program, she expects each client to lift a specific maximum weight each week. As she goes along, she records the actual maximum weights her clients lifted. She wants to know how well her expectations met with what was observed.
A meteorologist wants to know if East and West Australia have the same distribution of storms.
A pharmaceutical company is interested in the relationship between age and presentation of symptoms for a common viral infection. A random sample is taken of 500 people with the infection across different age groups.
The owner of a baseball team is interested in the relationship between player salaries and team winning percentage. He takes a random sample of 100 players from different organizations.
A marathon runner is interested in the relationship between the brand of shoes runners wear and their run times. She takes a random sample of 50 runners and records their run times as well as the brand of shoes they were wearing.
The statistical test that can be used for the given statements is; the goodness-of-fit test
How to determine the best statistical tests?
1) For the archeologist story, the goodness-of-fit test is the best and most relevant test that can be applied because the archaeologist wishes to determine if her prediction was correct by comparing the actual number of artefacts recovered in each grid section to the expected frequencies.
2) The economist generates a list of expected stock market index points for the next two weeks, as well as the actual points at the end of each trading day. The economist then compares the actual and expected points to ensure that the model he constructed is accurate. As a result, economists can use the goodness-of-fit test in this study.
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If u(x) = −2x² +3 and v(x)=1/x, what is the range of (uv)(x)?
Given:
\(\begin{gathered} u(x)=-2x^2+3 \\ v(x)=\frac{1}{x} \end{gathered}\)Required:
To find the range of the function (uv)(x).
Explanation:
We know that
\(\begin{gathered} (uv)(x)=u(v(x)) \\ \\ =u(\frac{1}{x}) \\ \\ =-2(\frac{1}{x^2})+3 \\ \\ =-\frac{2}{x^2}+3 \end{gathered}\)The horizontal asymptote of this function is at y=3.
So, the range of this function is from
\((-\infty,3)\)Final Answer:
The range of (uv)(x) is
\((-\infty,3)\)The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
what should be subtracted from 7/12+7/8 to obtain the multiplicated inverse of (4/3-4/9)
To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.
First, let's find the multiplicative inverse of (4/3 - 4/9):
Multiplicative inverse = 1 / (4/3 - 4/9)
To simplify the expression, we need a common denominator:
Multiplicative inverse = 1 / ((12/9) - (4/9))
= 1 / (8/9)
= 9/8
Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:
Subtracted value = (7/12 + 7/8) - (9/8)
To perform this calculation, we need a common denominator:
Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)
= (14/24 + 21/24) - (9/8)
= 35/24 - 9/8
To simplify further, we need a common denominator:
Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)
= 35/24 - 27/24
= 8/24
= 1/3
Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).