The sum of the numbers follow an unorganized pattern
The result of the expression is 985
The equations are given as:
\(\mathbf{333 + 555 = 999}\)
\(\mathbf{123 + 456 = 488}\)
\(\mathbf{505+ 213= 809}\)
From the above summations, we notice the following patterns
Individual sums that add up to 7 or 8 are incremented by 1Others are reduced by 1So, the sum 344 + 732 will obey the following pattern.
4 + 2 = 6. 6 is not 7 or 8; so the result would be reduced by 1 to 54 + 3 = 7. The result would be increased by 1 to 83 + 7 = 10. 10 is not 7 or 8; so the result would be reduced by 1 to 9This means that:
\(\mathbf{344 + 732 =985}\)
Hence, the result of the expression is 985
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The triangles below lie on the same line. Find the horizontal distance of the smaller triangle. A The horizontal distance of the smaller triangle is 24. B The vertical distance of the smaller triangle is 2. C The horizontal distance of the smaller triangle is 16 . D The vertical distance of the smaller triangle is 16 .
Answer:
72/100/=18+243*456*43491/45465+451365-42565=
If a = 8, b = 6, and h = 10. Then what is Tan (A)
The value of Tan( A) = 53.1°
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
sin(tetha) = opp/hyp
cos( tetha) = adj/hyp
tan ( tetha) = opp/adj
The opposite to the angle A is a which is 8, the adjacent is 6 and hypotenuse 10
Tan(A) = 8/6
Tan(A) = 1.33
A = tan^-1 ( 1.33)
A = 53.1°
therefore the value of tan A is 53.1°
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Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Add 7 cubes to the big square and 1 cube to the three square strip on the bottom of the big square in Step 3
Sorry if the answer is unclear, I tried my hardest to explain it properly. Please tell me if it's right, and if it is, I would appreciate a Brainliest.
(I added an image of what the answer might be)
The pattern
For top
x²For beneath
xLook
for 1 there is 1
for 2 there is 2²=4
for 3 there is 3²=9
So for 4
There will be 4²=16Find the general solution
dy/
dt = (ty)2
The given differential equation is dt = (ty)2, which is a separable equation. We can separate the variables t and y on opposite sides of the equation and integrate both sides to obtain the general solution.
Starting with dt = (ty)2, we can rearrange it to (1/t2) dt = y2 dt. Now we integrate both sides, yielding ∫ (1/t2) dt = ∫ y2 dt. The left-hand side integrates to -1/t + C1, where C1 is the constant of integration. The right-hand side integrates to (1/3)y3 + C2, where C2 is another constant of integration.
Therefore, our general solution is -1/t + C1 = (1/3)y3 + C2. To solve for y explicitly, we can isolate y on one side of the equation by multiplying both sides by 3 and then taking the cube root: y = [(3(-1/t + C1) - C2) / 3]1/3. This gives us a family of solutions that satisfy the given differential equation.
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An octagonal prism has...........lateral faces.
8
2
7
5
Answer:
an octagonal prism has 8 lateral faces
Answer:
8
Step-by-step explanation:
An octagonal prism has 8 lateral faces.
An octagonal prism has 10 faces – 8 lateral faces and 2 bases, 16 vertices, and 24 edges
Which equation is NOT true based on the Pythagorean Theorem
Answer:
b = √(c² + a²)
Step-by-step explanation:
Answer:
The last one
Step-by-step explanation:
how to dilate with a scale factor of 1/3 with orgin point on graph
Answer:
each coordinate is multiplied by 1/3
Step-by-step explanation:
Each point on the graph is moved to a distance from the origin that is its previous distance multiplied by the scale factor. This means every coordinate value is multiplied by the scale factor.
For example, a coordinate of (3, -9) scaled by 1/3 will become ...
(1/3)(3, -9) = (1, -3)
__
Additional comment
If your scale factor is 1/3, often you will find that coordinates of the larger image are all multiples of 3. This makes relocating them to 1/3 their original distance fairly easy. Even if they're not, you still move each point to 1/3 its original distance. The new point will be on the line segment joining the center of dilation (the origin) with the original point.
The attached graph is an illustration of dilation by a factor of 1/3.
Combine the like terms to create an equivalent expression.
-y+6y
Answer:
Step-by-step explanation:
6y - y = y(6 - 1) = y * 5
The answer is 5y.
A rectangle is inscribed in a parabola y^2 = 16x with the side of the rectangle along the latus rectum of the parabola. If the area of the rectangle is maximized, compute its perimeter.
a. 24.63
b. 13.69
c. 14.57
d. 20.69
The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.
To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.
The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).
To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.
Comparing the two equations, we get:
4a = 16
a = 4
Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.
Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.
Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.
Substituting x = 8 into the equation of the parabola, we get:
\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)
Therefore, the width of the rectangle is approximately 11.31 units.
The perimeter of the rectangle is given by the formula:
Perimeter = 2(length + width)
Plugging in the values, we have:
Perimeter = 2(16 + 11.31)
Perimeter ≈ 2(27.31)
Perimeter ≈ 54.62
Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.
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PLS HELP I'M STUCKKK WILL MARK BRAINLIEST!
Determine the ordered pair that satisfies the equation, -5x - 6y = -8.
(8 , 8)
(5 ,−225)
(-5 , -6)
(8 ,−163)
Find the length of EG
Answer:
8?
Step-by-step explanation:
Alexandra takes out a loan of $2000 to pay for an emergency vet bill . She will repay the loan over 6 months at 8.12% p.a interest compounded fortnightly. Calculate:
a)Alexandra's fortnightly repayments
b)The outstanding balance on the loan after 6 fortnights
If you could add the steps that would be great!
a) Alexandra's fortnightly repayments would be approximately $345.85.
b) The outstanding balance on the loan after 6 fortnights would be approximately $1,726.17.
To calculate Alexandra's fortnightly repayments and the outstanding balance on the loan after 6 fortnights, we need to use the formula for calculating the repayment amount and the formula for the outstanding balance.
a) Fortnightly Repayments:
First, we need to calculate the interest rate per fortnight. The annual interest rate is 8.12%, so the fortnightly interest rate would be (8.12% / 26) = 0.3123%.
The formula to calculate the repayment amount on a loan is:
Repayment Amount = \(P \times (r \times (1 + r)^n) / ((1 + r)^n - 1)\)
Where:
P = Principal amount of the loan ($2000)
r = Interest rate per fortnight (0.3123%)
n = Number of fortnights (6)
Plugging in the values:
Repayment Amount = \(2000 \times (0.003123 \times (1 + 0.003123)^6) / ((1 + 0.003123)^6 - 1)\)
Repayment Amount ≈ $345.85
b) Outstanding Balance after 6 Fortnights:
The formula to calculate the outstanding balance on a loan is:
Outstanding Balance = \(P \times ((1 + r)^n) - (A \times (((1 + r)^n) - 1) / r))\)
Where:
P = Principal amount of the loan ($2000)
r = Interest rate per fortnight (0.3123%)
n = Number of fortnights (6)
A = Repayment amount ($345.85)
Plugging in the values:
Outstanding Balance = \(2000 \times ((1 + 0.003123)^6) - (345.85 \times (((1 + 0.003123)^6) - 1) / 0.003123)\)
Outstanding Balance ≈ $1,726.17
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Banks usually quote saving rates using effective annual rate (EAR) and debt borrowing rates using annual percentage rate (APR). If the 1-year fixed saving account has a 2.5% interest rate, calculate the "non-arbitrage" rate for a 1-year quarterly paid personal debt. In real life, do you expect the real debt rate would be higher or lower than this "non-arbitrage" rate?
The "non-arbitrage" rate for a 1-year quarterly paid personal debt can be calculated based on the interest rate of a 1-year fixed saving account. In real life, the real debt rate is generally expected to be higher than this "non-arbitrage" rate.
To calculate the "non-arbitrage" rate for a 1-year quarterly paid personal debt, we can use the concept of effective annual rate (EAR) and the interest rate of a 1-year fixed saving account. The 2.5% interest rate on the saving account represents the EAR, which means that if the interest is compounded quarterly, the nominal interest rate per quarter would be slightly lower.
By adjusting the EAR to account for quarterly compounding, we can find the "non-arbitrage" rate for the debt.In real life, the real debt rate is generally expected to be higher than this "non-arbitrage" rate. This is because banks typically charge a higher interest rate on loans and personal debts compared to the interest rate they offer on savings accounts.
Banks aim to make a profit by lending money, and they factor in various costs and risks associated with lending when setting interest rates for loans. Therefore, borrowers usually face higher interest rates to compensate for the risks taken by the banks.
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Copy and complete this equality to find these three equivalent fractions
Answer:
First blank is 15, second blank is 4
Step-by-step explanation:
\(\frac{1}{5}=\frac{1*3}{5*3}=\frac{3}{15}\)
\(\frac{1}{5}=\frac{1*4}{5*4}=\frac{4}{20}\)
A) Mo has been rounding decimal numbers to the nearest whole number. Put a * by the correct answers and correct the incorrect answers. Number Rounded to Whole Number Correct (*) or Correction 7.2 7 * 8.5 8 9 12.9 13 * 3.4 3 * 11.5 11 12 9.5 9 10 b) Mo has made the same mistake throughout. Explain to Mo the mistake he has made. A:
Answer:
A)
7.2 7 * ⇒ correct
8.5 8 9 ⇒ 9 is the correct answer
12.9 13 * ⇒ correct
3.4 3 * ⇒ correct
11.5 11 12 ⇒ 12 is the correct answer
9.5 9 10 ⇒ 10 is the correct answer
B)
When a decimal number is 5 or more, you must round up, e.g. 4.5 must be rounded up to 5. You round down when the number is 4 or less.
7TH GRADE MATH NEED ASAP.
Answer:
length x width x height
2x2x3=12
12 cubed millimeters.
What are 2 things you know about this image???
Answer:
that they were going a constant speed for a while
And at one time they came to a complete stop
Hopes this helps
PLEASE HELP - Compare William and Jennifer's bank accounts (brainliest)
Answer:
Jennifer in wrong. She is earning 12 dollars each week, whereas William is earning 14 dollars.
Hi! Question is attached ty!
The rate of interest per annum when he invested £6,500 and got £6,838 will be 5.2%.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
The amount after one year is £6838 if he invested £6,500. Then the rate of interest is given as,
£6,838 = £6,500 × (1 + r)¹
1 + r = 1.052
r = 0.052 or 5.2%
The rate of interest per annum when he invested £6,500 and got £6,838 will be 5.2%.
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Find the y intercept of the graph
Answer:
-4
Step-by-step explanation:
I just counted
let us suppose that (28 , 32) inches is an 80% one-sample confidence interval for the average height of all adult miniature horses. some people believe that the population average height is 32.1 inches. based on the confidence interval, is this a plausible belief?
we do not have enough information to calculate the margin of error, as we are missing values such as the sample mean, sample size, and population standard deviation.
What is standard deviation?Let's calculate the margin of error for the confidence interval and check if the value of \(32.1\) inches falls within the range.
Given:
Confidence interval: \((28, 32)\) inches
Confidence level: \(80%\)
Sample mean (x): Unknown
Sample size (n): Unknown
Population standard deviation (σ): Unknown
Belief: Population average height is \(32.1\) inches
To determine if \(32.1\) inches falls within the confidence interval, we need to calculate the margin of error (ME) for the confidence interval. The formula for the margin of error is:
ME = (Critical value) * (Standard deviation of the sample statistic)
Therefore, , we do not have enough information to calculate the margin of error, as we are missing values such as the sample mean, sample size, and population standard deviation.
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I have a project about fractions. Its the last day of school. Pls answer this question. What fraction is less than 1/2?
Answer:
1/4, 1/3, 3/8, 1/8, etc.
Step-by-step explanation:
Any fraction that represents less than a half of a whole is less than 1/2.
How do you make denominators the same when subtracting fractions?
Answer: You need to increase the terms of one or both fractions so both fractions have the same dominator
Step-by-step explanation:
A easiest way to do this is to use the "cross-multiplication"
Cross-multiplication: Cross-multiply the two fractions and create two fractions that have a common denominator
You can also search on yt a tutorial step by step
Find the total distance traveled by a particle according to the velocity function wt) = 3t - 9 m/sec over the time interval
[1, 5]. Enter your answer as an exact fraction, if necessary. Do not include units in your answer.
The total distance traveled by the particle over the time interval [1, 5] is 12 units.
To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.
To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit
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I really need help with this
Answer:
I don't have a grid with me but look at it this way. if you look at the first set of points look at where they are starting. and. then look at the second set of points. see if the points plotted bend over the x axis or the y axis:)
Help please!!
How do you find the volume of a pentagonal prism?
Include the formula for getting it.
Thank you
The points N,O,P and Q all lie on the same line segment, in that order, such that the ratio of NO :OP : PQ is equal to 1:5:6 if NQ =12 find OP
Answer:
5
Step-by-step explanation:
The required measure of the length of line segment OP is 5.
Given that,
The points N, O, P, and Q all lie on the same line segment, in that order, such that the ratio of NO : OP: PQ is equal to 1:5:6 if NQ =12 find OP is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
NO : OP: PQ = 1:5:6
from the property of ratios, let the fraction be x
x + 5x + 6x = 12
12x = 12
x = 1
Now,
OP = 5x = 5 * 1 = 5
Thus, the required measure of the length of line segment OP is 5.
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Destiny draws a circle with radius 14 centimeters. What is the circumference of Destiny's circle? Write your answers using pi. Show your work.
A company sells two versions of an antivirus software. The home edition costs $23.50, and the business edition costs $58.75. Last week, the company earned $29,668.75 from selling 745 copies of the software.
If x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold, which system of equations represents this situation?
Answer:
x + y = 745
23.50x + 58.75y = 29,668.75
Step-by-step explanation:
Since 745 copies were sold and x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold:
x + y = 745
Since the home edition costs $23.50, and the business edition costs $58.75:
The money earned from home edition is = 23.50x
The money earned from business edition is = 58.75y
Since the company earned $29,668.75:
23.50x + 58.75y = 29,668.75
the diagram below shows a square-based pyramid
The solution is, 52 ft is the perimeter of the base of the pyramid.
Here, we have,
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
Area = side * side
Let the side be equal to ft.
Putting the given values in the formula:
169 = a^2
so, a = 13 ft
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 Side
Perimeter = 4 * 13 = 52ft
The solution is, 52 ft is the perimeter of the base of the pyramid.
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complete question:
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?