Answer:
49,36,85
Step-by-step explanation:
c in step 4 comes from step 3... 49+36
a and b in step 3 come from step 2... in the same (you've got a - b and then 7 squared - 6 squared, so a is 49 and b is 36
If x < y and z > 0, then xy ____xz. *
Answer:
<
Forces me to type more words but there's the answer.
Answer:
<
Step-by-step explanation:
< that the answer can i be branlyest
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve this equation and show your work step by step using PEMDAS
2/3 x + 1 = 5
Answer:
\( \frac{2}{3} x + 1 = 5 \\ \frac{2}{3} x = 4 \\ x = \frac{4 \times 3}{2} \\ x = 6\)
6 is the right answer.A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal size will be cut out of each corner, and then the ends and sides will be folded up to form a rectangular box. What size square should be cut from each corner to obtain a maximum volume
Answer:
the size of the square to be cut out for maximum volume is 1.5695 inches
Step-by-step explanation:
cardboard that measures 8 by 12 inches.
We need to determine What size square should be cut from each corner
We were given given the size of the cardboard.
let us denote the length of the square as 'x'.
Then our length, width and height will be:
Length = 8 − 2x
Width = 12− 2x
Then our Height = x
So now, the volume= length×width ×height
Volume = (8 − 2x) x (12− 2x) x (x)
After calculating volume comes out to be:
V = (96 − 40x + 4x²) (x)
V = 4x³ − 40x² + 96x
Now, we can use differentiation to equate it to zero.
So differentiate it with respect to x, we get
dV/dx = 12x² − 80x + 96
12x² − 80x + 96 = 0
So, after solving this, x comes out to be:
x = 5.097 and x = 1.5695
Looking at it the size of the square cut out cannot be 5.097 because we cannot cut out of both sides of the width, since the width is 5 inches.
Therefore, the size of the square to be cut out for maximum volume is 1.5695 inches.
87,959 →
round to nearest hundred
pls help help needed rn asap
Step-by-step explanation:
87,959 ==> 88,000 is the nearest hundred
The answer is:
87.96Work/explanation:
When rounding to the nearest hundredth, round to 2 decimal places (DP).
Which means we should round to 5.
5 is followed by 9, which is greater than or equal to 5. So, we drop 9 and add 1 to 5 :
87. 96
Therefore, the answer is 87.96.
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
5
10,5, 5/2
Find the 6th term.
HELP PLEASE
The 6th term of the given sequence is 35.
What is arithmetic sequence?Arithmetic sequence is a sequence where each consequtive term has a common constant difference.
An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.
Given sequence is 10,5, 5/2
a = 10
d = 10 - 5 = 5
Tn = a+(n-1)d
T6= 10 + (6-1) 5
= 10 + (5)5
= 10 + 25
= 35
Hence, the 6th term of the given sequence is 35.
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Write a percent proportion and sa
22 is 44% of what number?
Please help me to find this answer
Answer:
Look in Step by Step Explanation
Step-by-step explanation:
3)SOHCAHTOA
tan=opposite/adjacent
tan(20)=x/83
83tan(20)=x
x=30.209
2) SOHCAHTOA
Tangent=opposite/adjacent
Tan(62)=x/8
8tan(62)=x
x=15.04
3)SOHCAHTOA
Sin=opposite/hypotonouse
sin(25)=30/x
x=30/sin(25)
x=70.986
(-10, -3), (7,4) and (-1,7)
Find the perimeter of the triangle whose vertices are the following specified points in the plane.
● Blondies are squares with 3 inch sides. ● Brownies are squares with 6 inch sides. ● The tray that displays the blondies and brownies has an area of 648 square inches and is completely full. If she has 4 rows of blondies and 4 rows of brownies, what fraction of the area of the tray, in square inches, is blondies? Show your work.
The fraction of the area of the tray occupied by the blondies is 1/9.
To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.
Let's calculate the area of each individual blondie:
The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.
Now, let's calculate the area occupied by the blondies in each row:
Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.
So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.
Next, let's determine the area occupied by the brownies:
The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.
Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.
Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.
Now, let's calculate the total area of the tray:
Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:
Total area of the tray - Area occupied by the brownies = Area occupied by the blondies
648 square inches - 576 square inches = 72 square inches.
So, the fraction of the area of the tray occupied by the blondies is:
Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:
72 square inches / 648 square inches = 1/9.
Therefore, the blondies' percentage of the tray's surface area is 1/9.
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Graph the data in the table
Round 47.58051 to the nearest thousandths
Answer:
47.581
Step-by-step explanation:
can't explain I just know how to do it
Suppose you are an operation manager for a plant that manufactures batteries Give an example of how you use descriptive statistics and alo inferential statics to better managerial decisions
As an operations manager for a plant that manufactures batteries, I can use both descriptive statistics and inferential statistics to make better managerial decisions
Descriptive statistics help me to summarize and describe the data collected from the manufacturing process.
For instance, I can use measures such as mean, median, mode, range, and standard deviation to summarize the data on the production output of batteries over a specific period.
Inferential statistics allow me to draw conclusions and make predictions based on the data collected from a sample of batteries produced.
For example, I can use inferential statistics to determine the probability of the battery meeting the required specifications. I can also use inferential statistics to make predictions about future production output, based on the historical data.
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The builder recommends to Siya that he buys 10% more tiles than required in case of breakages. the tiles he likes are R234 for a box of 6 tiles. How much will Siya spend on tiles?
The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.
First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."
Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:
110% of T = 1.1 x T
Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:
Number of boxes = (1.1 x T) / 6
Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:
Total cost = (1.1 x T / 6) x R234
Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.
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PLZ HELP
A total of 800 advertisements were sold for a certain magazine. If 80 percent of the first 150 sold in color, 40 percent of the next 400 sold in color, and 80 percent of the next 80 were sold in color, what percent of the 800 magazines were sold in color?
Answer:60 %
Step-by-step explanation:
100 Points! Algebra question, only looking for an answer to B. Photo attached. Please show as much work as possible. Thank you!
Apply the fraction rule:
\(\text{a}\times\dfrac{\text{b}}{\text{c}} =\dfrac{\text{a}\times\text{b}}{\text{c}}\)
Answer:
\(\longrightarrow\boxed{\bold{\frac{\text{fx}}{\text{g}}}}\)
the total cost of a $112.75 meal with a 20% tip
i need help po
3.) A certain amount of money was divided among Ann, Bob, and Carol, Ann received ⅓ of the money plus ₱ 10,000 while Bob received ¼ of the money plus ₱20,000 and Carol received ₱20,000. How much did Ann and Bob receive?
Step-by-step explanation:
Let total amount of money be ₱x.
1/3x + 10000 + 1/4x + 20000 + 20000 = x
50000 = x - 1/3x - 1/4x
50000 = 5/12x
10000 = 1/12x
x = 120000
Ann received: 1/3(120000) + 10000 = 50000
Bob received: 1/4(120000) + 20000 = 50000
Topic: Algebraic Equations
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The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 16 salespeople using Jefferson's method given the information below.
Shift Morning Midday Afternoon Evening
Average number of customers 125 280 460 560
Salespeople to assign
What modified divisor did you use?
a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:
Shift Morning Midday Afternoon Evening Total
Number of
salespeople assigned 1 3 5 7 16
b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.
What is the standard divisor?The standard divisor shows the ratio of the total population to the number of seats.
The standard divisor gives an insight about the number of people each seat represents.
Standard divisor = Total number of customers / Total number of salespeople
The total number of customers = 1,425
The number of salespeople = 16
a) Standard divisor = 1,425 ÷ 16
= 89.0625
Shift Morning Midday Afternoon Evening Total
Average number of
customers 125 280 460 560 1,425
Standard divisor 89.0625 89.0625 89.0625 89.0625
b) Modified divisor 1.4035 3.1438 5.165 6.288
Number of
salespeople assigned 1 3 5 7 16
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Solve the differential equation. (Use C for any needed constant. Your response should be in the form 'g(y)=f(theta)'.)2 dy/ dtheta =ey sin2(theta)y sec(theta)
The reduced differential equation is 1/2 eᵃcos²θ -cosec²θ
The term differential equation refers the process to find the instantaneous rate of change in function based on one of its variables.
Here we have the equation g(y) = 2 dy/dt = eᵃsin²θysecθ
Now, we have to differentiate the equation.
The given equation is written as.
=> g(y) = 2 dy/dt = eᵃsin²θysecθ
Now, we have to move the constant to the other side then we get
=> g(y) = dy/dt = eᵃsin²θysecθ/2
While we differenctiate the costant remains same, so,
=>g(y) = dy/dt = 1/2 eᵃsin²θysecθ dy/dt
We know that the differciation of sin x = cos x,
So,
=> g(y) = dy/dt = 1/2 cos²θ eᵃy secθ dy/dt
Ans the value of sec θ = -cosec²θ
So, the resulting value is,
=> g(y) = dy/dt = 1/2 eᵃcos²θ -cosec²θ
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What is the difference in volume between a sphere with radius r and a sphere with radius 0.3r?
Answer:
\(d = 1.2973\pi r^3\)
Step-by-step explanation:
Given
\(R_1 = r\)
\(R_2 = 0.3\)
Required
The difference in their volumes
The volume of a sphere is:
\(V = \frac{4}{3}\pi r^3\)
So, the difference d is:
\(d = \frac{4}{3}\pi [R_1^3 - R_2^3]\)
\(d = \frac{4}{3}\pi [r^3 - (0.3r)^3]\)
\(d = \frac{4}{3}\pi [r^3 - 0.027r^3]\)
\(d = \frac{4}{3}\pi *0.973r^3\)
\(d = \frac{3.892}{3}\pi r^3\)
\(d = 1.2973\pi r^3\)
Volume is a three-dimensional scalar quantity. The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere with radius(r) is,
Volume = (4/3)×π×r³
The volume of the sphere with radius (0.3r) is,
Volume = (4/3)×π×(0.3r)³
The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is,
Difference = [(4/3)×π×r³] - [(4/3)×π×(0.3r)³]
= (4/3)πr³[1-0.027]
= (4/3)πr³(0.973)
= 4.0757r³ unit³
Hence, The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
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ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
D. G(x) = |x| + 7
Step-by-step explanation:
→For the function G(x) to shift upwards, there needs to be a number being added to the whole function.
→The answer isn't "A," because the 1 is being subtracted, making it shift downwards 1 unit, not upwards.
→The answer isn't "B," because adding the 2 there would cause the function to shift to the left for 2 units, not upwards.
→The answer isn't "C," because 10 is being multiplied, which would cause the function to narrow, and not shift upwards.
This means the correct answer is "D," because the 7 is being added, making the function shift upwards 7 units.
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1 ≤ x ≤ 7
x f(x)
1 13
4 16
7 19
10 22
Step-by-step explanation:
1 13 is the answer maybe
(q1) Find the length of the curve described by the function
The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:
L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2
The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.
Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:
L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral be solved.
We can, however, find a general solution. We use the above formula and substitute the limits of integration.
Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
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will give Crown help Idk what this is1+1=?
Answer:
1+1=2
Step-by-step explanation:
1 as a single number plus another 1 as a single number is 2. like this:+=.
Please help !! I am having trouble, I keep getting this question wrong.
Answer:
sure
Step-by-step explanation:
I will do that okay
what is the answer to d- 48.60 = 80.00
Answer:
31.4
Step-by-step explanation:
You subtract 80.00 from 48.60, and you get your answer 31.4
Answer:
128.6
Step-by-step explanation:
You have to do the inverse operation.
So you add 48.60 to each side of the equation. This cancels out the -48.60 which isolates the variable. And on the other side of the equation it leaves you with 128.6. Therefore d = 128.6
A file that is 236 megabytes is being downloaded. If the download is 19.3% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
18.3% x 238 megabytes
0.183 x 238 = 43.554 megabytes = 43.6 megabytes (rounded to the nearest tenth) or 43.55 (rounded to the nearest hundredth).
Step-by-step explanation:
7.0 is ten times as much as
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
e2020
which of the following is not a true statement about porportional graphs
Answer:
c
Step-by-step explanation:
i took the flvs exam
Evaluate 5^3 * 1/5^2
Answer:
I've written it in the photo
Answer:
5
Step-by-step explanation:
5^3= 125
1/5^2= 1/25
125 * 1/25 = 125/25 = 5