the number 37 is a prime or a composite
Answers
Prime numbers is a natural number greater than one
Prime has only one number that equals that number
For example: 37x1= 37
1x1=1
2x1=2
Answer: 37 is a prime number
Step-by-step explanation:
Related Questions
Suppose that the demand of a certain item is x=-0.7p+10.
Evaluate the elasticity at 6.
Answers
The item is an inelastic good at a price of 6 because it is negative and have a demand of -0.71.
What is the item's demand if elasticity is at 6?The formula for elasticity of demand is Elasticity of demand = (% change in quantity demanded) / (% change in price)
The initial quantity demanded at a price of 6 and the quantity demanded at a slightly different price must be know.
Let say Initial quantity demanded is:
x = -0.7(6) + 10
x = 5.8
Assume price changes slightly to 6.01, which gives us a new quantity demanded of x:
= -0.7(6.01) + 10
= 5.793
The % change in quantity demanded will be:
= [(new quantity demanded - initial quantity demanded) / initial quantity demanded] x 100%
= [(5.793 - 5.8) / 5.8] x 100%
= -0.12%
As price has changed from 6 to 6.01, we can calculate the percentage change as follows:
% change in price = [(new price - initial price) / initial price] x 100%
= [(6.01 - 6) / 6] x 100%
= 0.17%
Elasticity of demand = (% change in quantity demanded) / (% change in price)
= (-0.12% / 0.17%)
= -0.71
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Type the correct answer in each box.
Day Amount
1
$26
2
$23
3
$31
4
$26
5
534
The table shows the amount Bill spent on 5 days last week.
The mean of the amount he spent is $
The mean absolute deviation is $
Reset
Next
Answers
The mean absolute deviation is $106.6.
Given the table shows the amount Bill spent on 5 days last week.
DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.
Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,
the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:
Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406
The sum of all absolute deviations is:
10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.
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Express the ratio below in its simplest form. 3 : 3 1 /2
Answers
Answer:
1/3÷1/2
1/3×2 (reciprocal on dividing)
=2/3
plzz give brainiestAnswer: answer is 2/3
Step-by-step explanation:
URGENT WILL GIVE BRANLIEST ASAP PLSS
Answers
Answer:
they are supplementary so
180-101
=79 degrees
Answer:
9.
Angle 1 and angle 2 are supplementary angles, which means they add up to 180. Thus, as angle 1 is 101 degrees, angle 2 is 180-101 degrees, which is 79 degrees.
8. complementary angles are angles that add up to 90 degrees. The picture shows us that angle AGB is 90 degrees because there is a square symbolizing it. Therefore AGE also must be 90 degrees because it is congruent to angle AGB. The two angles that makeup AGE are AGF and FGE. Therefore, it is the first option.
7.
Adjacent angles are two angles that have a common vertex and a common side but do not overlap. The only pair of angles given that are next to each other is the second option, DGE and DGC.
Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined. is he right?Explain you're answer
Answers
In a case whereby Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined, he is wrong
What is the justification?
\(4\frac{2}{4}\) that was given in the question can be seen as mixed fraction, we can expressed this as improper fraction so that it will be easier to handle.
\(4\frac{2}{4} = \frac{16+4}{2}\)
=\(\frac{18}{4}\)
Then \(4 + 5\frac{1}{4} = \frac{16}{4} +\frac{20+1}{4} \\\\=\frac{37}{4}\)
Then after expressing the given fractions as improper fraction we can now compare them so that e will know may be Darren is right or wrong, then here we can see that \(\frac{18}{4}\) is less than \(\frac{37}{4}\) Hence, Darren is wrong.
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Staples sells boxes of pens ($25) and rubber bands ($5). Leona ordered a total of 20 cartons for $360. How many boxes of each did
Leona order? Hint. Let P= Pens.
Answers
Answer:
Step-by-step explanation:
I dont fully know if i am correct but i think its this:
p + r = 22
9p + 6r = 180
p = 22 - r
9(22 - r) + 6r = 180
198 - 9r + 6r = 180
-3r = -18
r = 6
p = 22 - 6
p = 16
Selected financial data for Amberjack Corporation follows.
Answers
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Define Decimal place?
A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32 etc. In the figure given above, the decimal point separates the whole number 42 from the fractional part . In words, it is written as Forty Two Point Eight Five.One decimal place to the left of the decimal point is the ones place. One decimal place to the right of the decimal place is the tenths place. Keep your eye on the 9 to see where the decimal places fall.Rounding a decimal number to two decimal places is the same as rounding it to the hundredths place, which is the second place to the right of the decimal point. For example, 2.83620364 can be round to two decimal places as 2.84, and 0.7035 can be round to two decimal places as 0.70.To learn more about decimal place refers to:
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On a coordinate plane, a line is drawn from point J to point K. Point J is at (1, negative 10) and point K is at point (7, 2). What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 –8 –5 0 6
Answers
Answer:
5
Step-by-step explanation:
lol
Answer:
the answer is c 0
Step-by-step explanation:
2 Thessalonians 3:16
Now may the Lord of peace himself give you peace at all times and in every way. The Lord be with all of you.
jesus loves you!!!
calculate the iterated integral. 3 0 1 6xy x2 + y2 dy dx 0
Answers
The final value of the iterated integral is 945\(\sqrt{10}\).
To calculate the iterated integral, we need to evaluate the inner integral with respect to y first and then the outer integral with respect to x.
The inner integral is to be integrated with respect to y is:
∫(6xy\(\sqrt{(x^2 + y^2)}\))dy from 0 to 1 = [3y(\(x^2 + y^2\)\()^{(3/2)}\))] from 0 to 1
= [3y*\((x^2 + y^2\)\()^{(3/2)}\)] from 0 to 1
= 3(1)*(\(x^2\) + 1\()^{(3/2)}\)
= 3(\(x^2\) + 1\()^{(3/2)}\)
Now, we can use this result as the inside function to evaluate the outer integral with respect to x.
The outer integral is to be integrated with respect to x is:
∫(3(\(x^2\) + 1\()^{(3/2)}\))dx from 0 to 3
= [x(\(x^2\) + 1\()^{(5/2)}\)] from 0 to 3
= [3\((3^2 + 1\) \()^{(5/2)}\) - 0(0^2 + 1\()^{(5/2)}\)]
= [3(10 - 0]
= [945\(\sqrt{10}\))]
So the final value of the iterated integral is 945\(\sqrt{10}\).
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The complete question is -
Calculate the iterated integral. Integral from 0 to 3 integral from 0 to 1 of 6xy\(\sqrt{(x^2 + y^2)}\) dy dx
A circle is shown. Angles 3 and 4 intersect an arc with a measure of 106 degrees. Angles 1 and 2 intersect an arc with measure 58 degrees. Is the measure of ∠1 equal to the measure of ∠2? Why?
Answers
Answer:
yes, because they intercept the same arc
Step-by-step explanation:
Answer:
yes, because they intercept the same arc
Step-by-step explanation:
There is a line that includes the point(10, 5)and has a slope of 1 What
is its equation in slope-intercept form?So far I have y=1x+what's the y?
Answers
Answer:
y = x - 5
Step-by-step explanation:
Given the point, (10, 5), and the slope, m = 1:
Substitute these values into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
5 = 1(10) + b
5 = 10 + b
Subtract 10 from both sides to isolate b:
5 - 10 = 10 - 10 + b
-5 = b
The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).
Therefore, given the slope, m = 1, and the y-intercept, b = -5:
The equation of the line in slope-intercept form is: y = x - 5.
find the inverse of each function
Answers
Answer:
c
Step-by-step explanation:
assume base 10
-logy = x
\( \frac{1}{ log(y) } = x\)
log base x y = 5 turns into the format x^ 5 = y
implement that to get c
I need help with the the answer
Answers
Step-by-step explanation:
We can write
X=-2,-1,0,1,2
And the equation is y=3x+4-------(1)
First we should be put all the value in equation (1)
y=2,1,4,7,10
And the answer will
(x, y) ={ (-2,2),(-1,1),(0,4),(1,7),(2,8)}
A summary of the two stocks is shown.
Name of Stock Symbol Closing Price Day 1 Closing Price Day 2 Closing Price Day 3
Metropolis, Ltd MTP 17.95 18.25 18.28
Suburbia, Inc SBR 5.63 4.98 5.25
Suppose you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price. Which day, during the following two days, would be the best to sell both stocks and by how much?
Day 2 is the best by $13.00.
Day 3 is the best by $13.00.
Day 2 is the best by $2.45.
Day 3 is the best by $2.45.
Answers
The day, from the following two days, which would be the best to sell both stocks with the closing price is day 3 by an amount of $2.45.
Given are the closing prices of two stocks in three days.
If you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price,
Amount invested = (65 × 17.95) + (50 × 5.63) = $1448.25
If the stock is sold in day 2,
Amount received = (65 × 18.25) + (50 × 4.98) = $1435.25
Profit = $1435.25 - $1448.25 = -$13
If the stock is sold in day 3,
Amount received = (65 × 18.28) + (50 × 5.25) = $1450.7
Profit = $1450.7 - $1448.25 = $2.45
The profit is more for day 3 than day 2.
Hence it is best to sell on day 3 by $2.45.
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AXYZ AMNL
X
XY =
33°
Y
LA
12
N
124°
N
8
M
Answers
Answer:
8
Step-by-step explanation:
You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.
Corresponding sidesSegment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.
Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.
XY = 8 units
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Mrs. Gonzalez bought a puzzle for $10.95, a board game for $15.95, and a table lamp for $17.10. After tax, the total amount due was $46.86. What is the sales tax rate written as a percent? Round to the nearest tenth if necessary.
Answers
Answer:
6.5%
Step-by-step explanation:
15.95+10.95+17.10 = 44
46.86-44 = 2.86
2.86/44 = 0.065
0.065 = 6.5%
Please answer and explain both in laymens terms
Answers
After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.
In order to calculate the area to the left of z=2.09 we have to apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.
Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:
1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is 87.6
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if ∆ACB ≅ ∆DCE, ∠ABC=61°, ∠BCA=57° and ∠CDE=2x
Answers
ABC=CDE when ABC=61 then CDE=2X 2X=61 --> X=61/2=30.5
The value of x would be equal to 30.5
What are vertical angles?Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.
We are given that if ∆ACB ≅ ∆DCE,
∠ABC=61°,
∠BCA=57°
∠CDE=2x
Therefore,
ABC = CDE
then CDE = 2X
2X = 61
X=61/2
X =30.5
Hence, the value of x would be equal to 30.5
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A red-hot sword was plunged into cold water. This caused the temperature difference between the sword and
the water to decrease rapidly.
The relationship between the elapsed time t, in seconds, since the sword was plunged into water, and the
temperature difference, D(t), is modeled by the following function:
t
9.7
D(t) = 256
4
Complete the following sentence about the decay rate of the temperature difference.
1
The temperature difference is reduced by a factor of
4
every
seconds.
Answers
Answer:
every 9.7 seconds
Answer:
9.7 seconds
Step-by-step explanation:
Got it correct on Khan Academy:
Write an inequality, in slope-intercept form, for the graph below. If necessary,use "<=" for < or ">" for >(4,2)(-4,0)
Answers
EXPLANATION
We can write an inequality in slope-intercept form by using the two given points, (x_1,y_1)= (-4,0) and (x_2,y_2)=(4,2), as shown as follows:
\(\text{Slope}=\frac{(y_2-y_1)}{(x_2-x_1)}\)Replacing terms:
\(\text{Slope}=\frac{(2-0)}{(4-(-4))}\)Subtracting terms:
\(\text{Slope}=\frac{2}{8}=\frac{1}{4}\)Now, we need to find the y-intercept.
As we can see in the dashed line, the y-intercept is at point (x,y)=(0,1).
Hence, the equation of the dashed line is as follows:
y = (1/4)x + 1
But as the solution represents all the points that are below this line, the inequality should be as following:
y < (1/4)x + 1
Paul owns a gym and needs to replace the carpeting on the floor. The gym's floor plan is shown.
8 yd
3 yd
4 yd
المة
How many square yards of carpeting is needed to cover the entire gym?
O 18 square yards
O 24 square yards
O 36 square yards
44 square yards
Answers
Answer:
24 square yards
Step-by-step explanation:
Find the diagram attached.
The area of the diagram = Area of rectangle + Area of triangle
Area of rectangle = 3 * 4
Area of rectangle = 12 square yards
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 6 * 4
Area of triangle = 12 square yards
Area of the diagram = 12 + 12
Area of diagram = 24 square yards
Hence 24 square yards of carpeting is needed
Triangle DEF has vertices D(1,1), E(2,0), and F(0,4). It is transformed by a rotation 180 degrees about the origin followed by a dilation with a scale factor of 3. Find the coordinates of the vertices of triangle D”E”F”.
Answers
Check the picture below.
i need help with this problem please
Answers
Answer:
Given, altitude, h = 6 inches, base, b = 16 inches
Now,
Area = 1/2 × b × h
= 1/2 x 16 × 6
= 48 Square inches.
one bucket of gravel has a mass of 7.05 kg. what is the mass of 20 buckets of gravel in kilograms? would it be 141kg
Answers
To know the weight of 20 buckets, take the weight of an individual bucket and multiply it by 20.
This way,
\(7.05\cdot20=141\)20 buckets would weight 141 kg
Melissa's mother bought . pounds of strawberries to make strawberry
smoothies. She estimates that she will need of a pound of strawberries for
each smoothie. How many smoothies can she make with the strawberries she
bought?
Answers
Answer:
depends on the ammount
Step-by-step explanation:
“One subtracted from the product of 4 and a number is 1 1”
Answers
Answer:
3
Step-by-step explanation:
4x3=12
12-1=11
Can somebody please solve these thank you!
Answers
Answer:
1/2(-1/3)=-1/6
-2/5(-5/9)=2/9
-3/4(8/9)=-2/3
Answer:
1/2 multiplied by (-1/3)=-1/6 or 0.166666667
-2/5 multiplied by (-5/9)=2/9 or 0.222222222
-3/4 multiplied by 8/9=2/3 or 0.666666667
you just multiply.
WHAT IS THE RECIPOCAL OF 6/5
Answers
Answer: 5/6
Step-by-step explanation:
The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.
Answer:
5/6
Step-by-step explanation:
Well to find a fraction's reciprocal all you need is to flop it like this
6/5 => 5/6
so 5 takes the place of 6 and 6 takes the place of 5
that's how 6/5 turns into 5/6
hence, the reciprocal is 5/6 .A baseball league finds that the speeds of pitches are normally distributed,
with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is
thrown at a speed of 83.2 mph. What is the z-score of this pitch? Round your
answer to two decimal places.
A. -2.42
B. -2.72
C. 2.42
D. 2.72
Answers
Suppose two rectangles have the same area. Must they have the same length and width? Explain.
Answers
Answer:
no
Step-by-step explanation:
Two rectangles having the same area do not need to have the same length and width. The length and width of the rectangle are just factor pairs of the number that is the area. For example, if the area was 12, the side lengths would be 1 and 12, 2 and 6, or 3 and 4. As you can see, those aren't the same lengths and widths. A rectangle may be 1x12 and another may be 3x4, but they have the same area.