The two numbers that the sum is 726 and the difference is 102 are 414 and
312.
Let the two numbers be x and y.
Therefore,
x + y = 726
x - y = 102
x + x = 726 + 102
2x = 828
divide both sides by 2
x = 828 / 2
x = 414
x - y = 102
414 - y = 102
414 - 102 = y
y = 312
The two numbers are 414 and 312.
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Define
Rough calculating
Answer:
A rough calculation or guess is approximately correct, but not exact. roughly adverb.
Step-by-step explanation:
A rectangle has an area of 44 square centimeters. The length of the rectangle is 11 centimeters.
What is the width of the rectangle?
Find m/CAD.
A. 55°
B. 125°
C. 110°
D. 35°
A
B
55°
D
C
4: Find the slope:
(9, -10), (0,8)
Answer:
-2
Step-by-step explanation:
Using the slope formula (y1-y2)/(x1-x2), the slope of the line is (-10-8)/(9-0), which is equal to (-18)/9= -2.
Slope of the given coordinates (9,-10) and (0,8) is -2.
What is slope of the line?In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
Given, coordinates of the two points,
(x₁ , y₁) = (9, -10)
(x₂ , y₂) = (0, 8)
slope m = (y₂ - y₁)/(x₂ - x₁)
= (8 - -10)/(0 - 9)
= (8 + 10)/-9
= 18/-9
slope m = -2
Hence, -2 is the slope for given coordinates (9,-10) and (0,8).
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An English teacher needs to pick 10 books to put on her reading list for the next school year, and she needs to plan the order in which they should be read. She has narrowed down her choices to 4 novels, 6 plays, 8 poetry books, and 4 nonfiction books.
Step 2 of 2 : If she wants to include all 6 plays, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.
When she wants to include all 6 plays, the different reading schedules are possible in scientific notation will be 4.49×10^10.
How to illustrate the information?She wants to pick 10 books and she picks all 4 poetry books and therefore needs to pick 6 more from the 5+5+7=17 other (non-poetry) books.
So she can pick the remaining (non-poetry) books in (17 CHOOSE 6) = 17C6 = 12376 ways.
For each of the 12376 ways to pick the 10 books to read, she can arrange the
order to read them in (10 POSITION 10)= 10P10 = 10! = 3628800 ways.
Therefore, the number of ways will be:
= (17C6)(10!)
= 12376*3628800
= 4.49×10^10
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Uhhhhh.....help is needed.
Answer:
D.
Step-by-step explanation:
Look for the closed circle with the arrow pointing to the right on this one.
HHELP ASAP FASTTTTTTT!!!!!
Answer:
8:2 16:4 20:5 28:7
Step-by-step explanation:
8/4= 2 16/4=4 20/4=5 28/4=7
16
5
28
Because I know math Duh
using the sample statistics information from spss output, calculate a 95% confidence interval for the mean chromatic contrast of crab spiders on daisies. interpret the result.
In order to calculate a 95% confidence interval for the mean chromatic contrast of crab spiders on daisies, you would need to have the sample mean and standard deviation of the chromatic contrast data.
Additionally, you would need to know the sample size. With this information, you could use a t-distribution or a normal distribution to calculate the confidence interval. Once the confidence interval is calculated, it can be interpreted as a range of values that you can be 95% confident contains the true population mean chromatic contrast of crab spiders on daisies. The confidence interval takes into account both the variability of the data and the sample size, and gives a range of values that is likely to contain the population mean with a certain degree of confidence.
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I WILL GIVE Brainiest IF YOUR RIGHT
Answer:
answer: 60
Hope that helps!
Answer:
G. 60 m²
Step-by-step explanation:
The lawn is in the shape of a trapezium.
The area of a trapezium can be found using the equation 0.5*h*(a+b), where h is the height and a and b are the top and bottom of the shape.
Area = 0.5*h*(a+b)
= 0.5*4*(12+18)
= 60 m²
Ata certain meeting, there were 7354 people.
There were 1022 more men than women.
Calculate the number of men who attended the
meeting
A. 6332
B.3166
C. 4188
D.5210
Answer:
6332 is the right answer of these question
Kira owes Mark $5, and Mark owes Kira $7. Which statement means the same thing?
Answer:
mark owes Kira $2
I think
Which shortcut can be used to prove the triangles are congruent?
Answer:
Option 2: AAS is the right answer
Step-by-step explanation:
In the diagram, two triangles are given with two angle measurements and one non-included side.
It can also be seen that the respective angles of both triangles have same measurement and the non-included side is also congruent.
AAS Postulate:
"AAS postulate states that when two angles and one excluded side are congruent in two triangles then the triangles are congruent."
Hence,
Option 2: AAS is the right answer
Mean, Median, Mode, Appropriate Measures, Standard
Deviation
Use this data set to answer all questions on this page.
513, 490, 496, 380, 490, 513, 503, 513, 500, 492
Question 1 Which of the following would be APPROPRIATE measure(s) of center. (1)Mean (2)Median (3) Mode. Question 2 Find the standard deviation. Round your answer to the tenths place(one decimal place)
Answer:
Question 1: The appropriate measures of center for this data set would be (1) Mean and (2) Median. There is no mode in this data set as there are no repeating values.
Question 2: To find the standard deviation, we first need to find the mean:
Mean = (513 + 490 + 496 + 380 + 490 + 513 + 503 + 513 + 500 + 492) / 10 = 494.0
Next, we find the difference between each data point and the mean:
(513 - 494.0), (490 - 494.0), (496 - 494.0), (380 - 494.0), (490 - 494.0), (513 - 494.0), (503 - 494.0), (513 - 494.0), (500 - 494.0), (492 - 494.0)
19, -4, 2, -114, -4, 19, 9, 19, 6, -2
Then we square each difference:
361, 16, 4, 12996, 16, 361, 81, 361, 36, 4
The sum of these squared differences is:
361 + 16 + 4 + 12996 + 16 + 361 + 81 + 361 + 36 + 4 = 14136
To find the variance, we divide the sum of squared differences by the number of data points minus one:
Variance = 14136 / 9 = 1570.7
Finally, we find the standard deviation by taking the square root of the variance:
Standard deviation = √1570.7 ≈ 39.6 (rounded to the tenths place)
Step-by-step explanation:
Alice is saving to buy a house and currently has $2,000 in her savings account. She's planning to contribute $150 to the account each month. Identify the function that describes the relationship between the number of months that pass (n) and the balance of her savings account, f(n).
Answer:
f(n)= 2,000+150n
Step-by-step explanation:
hope this helps.
Answer:
f(n) = 2,000 + 150(n − 1)
Step-by-step explanation:I took the test
Distribute and simplify these radicals.
√12 (-1+√5)
-4√3
-2√3+2√15
4√3
6√3
The simplified expression of √12 (-1+√5) is -2√3 + 2√15
How to simplify the radical expression?The radical expression is given as:
√12 (-1+√5)
Express √12 as 2√3
So, we have:
√12 (-1+√5) = 2√3(-1+√5)
Evaluate the product
√12 (-1+√5) = (-2√3+2√15)
Remove the bracket
√12 (-1+√5) = -2√3 + 2√15
Hence, the simplified expression of √12 (-1+√5) is -2√3 + 2√15
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SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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if two supplementary angles is in the ratio 7:8 find the complement of the smaller angle
Answer:
6°
Step-by-step explanation:
Let
the supplementary angles be 7x and 8x so,
7x+8x=180 ,15x=180 ,x=180/15 ,x=12
smaller angle=7x=7×12=84°
complement of 84°=90°-84°=6°
write the decimal 0.015 as a fraction (line over the 15, the 15 is repeating)
0.015 in fraction
=\(\frac{15}{1000}\)
Simplified is
=\(\frac{3}{200}\)
Answer:\(\frac{3}{200}\)
(X) + log (X+4)=log 32 for x
The value of x from the logarithmic expression is 4 and -8
Given the logarithmic expressionLogarithm are inverse of exponential function. Given the logarithmic function below;
log (X) + log (X+4)=log 32
Since positive will become multiplication, hence;
X(X+4) = 32
Expand
X^2 + 4x = 32
x^2 + 4x - 32 = 0
x^2 + 8x - 4x - 32 = 0
x(x + 8) - 4(x + 8) = 0
(x-4)(x+8) = 0
X = 4 and -8
Hence the value of x from the logarithmic expression is 4 and -8
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A positive integer is twice another. The difference of the reciprocals of the two positive integers is 1/ 18. Find the two integers.
Answer:
9 and 18
Step-by-step explanation:
Let the integers be a and 2a (since one is twice the other).
The reciprocals are 1/a and 1/(2a) respectively.
Difference means tk subtract.
So we have 1/a-1/(2a)=1/18
Multiply both sides by 18:.
18a/a-18a/(2a)=18a/18
Simplify:
18-9=a
Simplify:
9=a
If a=9, then 2a=18
The integers are 9 and 18.
Test:
1/9-1/18
2/18-1/18
1/18
Golden!
5 star rating help quick
Answer:
i think b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It is the only one with the coordinates (1,15) (3,25) (5,35) (7,45)
What is the surface area of a cylinder with base radius
2
22 and height
6
66?
Either enter an exact answer in terms of
�
πpi or use
3.14
3.143, point, 14 for
�
πpi and enter your answer as a decimal.
Rounding to two decimal places, the surface area of the cylinder is approximately 123.79 square units.
The formula for the surface area of a cylinder is:
A = \(2πr^2\) + 2πrh
where r is the radius of the base, h is the height, and π is the constant pi.
Plugging in the given values, we get:
A = 2π(2.22)^2 + 2π(2.22)(6.66)
A = 2π(4.9284) + 2π(14.7912)
A = 30.9748 + 92.8184
A = 123.7932
Rounding to two decimal places, the surface area of the cylinder is approximately 123.79 square units.
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Solve equation by factoring n^2=5n-4
\(\huge\text{Hey there!}\)
\(\huge\textbf{Equation:}\)
\(\mathsf{n^2 = 5n - 4}\)
\(\huge\textbf{Convert:}\)
\(\mathsf{5n - 4 = n^2}\)
\(\huge\textbf{Subtract }\boxed{\bf n^2}\huge\textbf{ to both sides:}\)
\(\mathsf{5x - 4 - n^2 = n^2 - n^2}\)
\(\huge\textbf{Simplify it:}\)
\(\mathsf{-n^2 + 5x - 4 = 0}\)
\(\huge\textbf{Factor the LEFT side of the equation:}\)
\(\mathsf{(-n + 1)\times (n - 4) = 0}\)
\(\huge\textbf{Simplify that as well:}\)
\(\mathsf{-n + 1 = 0 \ or\ even\ \ n - 4 = 0}\)
\(\huge\textbf{Lastly, simplify that as well:}\)
\(\mathsf{n = 1\ or\ n = 4}\)
\(\huge\textbf{Therefore, your answer should be: }\)
\(\huge\boxed{\frak{n = 1\ or \ n = 4}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Complete the expressions and select the missing properties.
Write each answer as a number, a variable, or the product of a number and a variable.
p + 12 is the resulting expression using commutative law of addition.
Solving linear expressionLinear expression are expression that has a leading degree of 1.
Given the expression below
4 + (8 + p)
Using the commutative law of addition A + B = B + A, we will have:
4 + (8 + p) = (8 + p) + 4
= (4 + 8) + p
= 12 + p
Applying the commutative law, we will have
12 + p = p + 12
Hence the resulting expression using the commutative law of addition is p + 12
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For the function f(x)=x+4−−−−−√
, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is
The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.
To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.
The change in the function between x = 2 and x = 6 is:
f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6
The change in the input variable between x = 2 and x = 6 is:
6 - 2 = 4
So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:
(√10 - √6) / 4
To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:
(√10 - √6) / 4 ≈ 0.29
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Find m
A)36
B)80
C)56
D)44
E)124
Answer:
44
Step-by-step explanation:
vertical angles
In 2016, Stare A produced 600 million pounds more apples that State B. Together, the two states produced 1600 million pounds of apples. Fine the amount of apples grown in State A and State B in 2016.
Answer:
800
Step-by-step explanation:
The Answer Is 8,000,000 Because
8×2 16 so 8,000,000 × 2=16,000,000
Can someone please help me!!! 5 pointssssssssssssssssss
Answer:
Area = 56.16 cm
Step-by-step explanation:
Area is b x h
b = 20.8
h = 5.2
bh = 56.16 = area
Sahana is going on holiday to America. She goes to the bank to exchange £150 into . The exchange rate in the bank is £1=$1.42 how many dollars will Sahana get
Multiply.
8×35
Enter your answer as a mixed number in simplest form by filling in the boxes
PLS HELP
Answer:
280
Step-by-step explanation:
Answer:
8×35=280.
This is the best I can give to you