Answer:
Reflecting triangle ABC over line m
Step-by-step explanation:
By reflecting triangle ABC over line m angle A and angle C overlap, proving they are the same angle, which is true because side AB and BC are equal in length.
whar is the value of (4x² -10)
-------------
y
when x=5 and Y=6
A) -15
B)10
C)15
D)20
50 Benson purchased a $1,800 certificate of deposit that earns s
of 1 year, the certificate was worth $1,857.60.
What is the annual interest rate on this certificate of deposit
Answer:
3.2%
Step-by-step explanation:
The computation of the annual rate of interest is shown below:
As we know that
Simple interest = Principal × rate of interest × time period
($1,857.60 - $1,800) = $1,800 × rate of interest × 1
$57.60 = $1,800 × rate of interest × 1
So, the rate of interest is
= $57.60 ÷ $1,800 × 100
= 3.2%
Hence, the rate of interest on annual basis is 3.2%
foci at (39,0) and (-39,0) and a constant difference of 30
The equation of the ellipse with foci at (39,0) and (-39,0) and a constant difference of 30 is given as follows:
x²/39² + y²/9² = 1.
How to obtain the equation of the elipse?The equation of an ellipse of center (h,k) is given by the rule presented as follows:
(x - h)²/a² + (y - k)²/b² = 1.
In which:
a is the distance from the center to the focus.b is the distance from the center to the vertex.The coordinates of the foci are given as follows:
(39,0) and (-39,0).
The center is the midpoint of these two coordinates, hence:
h = (39 - 39)/2 = 0.k = (0 + 0)/2 = 0.The coefficient a is given as follows:
a = |39 - 0| = |0 - 39| = 0.
Considering the constant difference of 30, the constant b is given as follows:
b = a - 30 = 39 - 30 = 9.
Thus the equation of the ellipse is given as follows:
x²/39² + y²/9² = 1.
Missing InformationThe problem asks for the equation of the ellipse with the given features.
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What is y=2x-3 in standard form?
Answer:
2x + y = -3 standard form
Find the area of the shaded region.
Answer:
i think 132. but I could be wrong.
Step-by-step explanation:
Tangela bought 12 cans of sodas for $5.40
Answer:
324
Step-by-step explanation:
Answer:
0.45 for one can of soda
Step-by-step explanation:
If you want to know the price for one soda all you have to do is divde.
12 ÷ 5.40 = 0.45
So, one soda can is $0.45! Have a great day friend! :D
4x – 3y = -7
5x – 4y = - 8
The answer is x=−4 and y=−3
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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What is the slope in the equation y = 2/5x - 6?
Answer:
2/5
Step-by-step explanation:
y=2/5x-6
m=2/5
y=mx+b
Slope: 2/5
y-intercept: 6
Step-by-step explanation:
Just Did Now, Am not Really good at asking questions
Solve for x. Round your answer to the nearest tenth.
Answer:
\(2\)√\(13\) or \(7.2\).
Step-by-step explanation:
For this problem, you need to apply the Pythagorean theorem.
The equation for the Pythagorean theorem is \(a^{2} +b^{2} =c^{2}\).
Fill in the leg and hypotenuse.= \(12^{2} + b^{2}= 14^{2}\)
Subtract \(14^{2} - 12^{2}\) to solve for b. (or x length in the picture.)\(14^{2} - 12^{2}\) = \(52\)
Find the square root of \(52\).\(\sqrt{52} = 2\sqrt{13}\)
Find the decimal and round to the nearest tenth.\(2\sqrt{13} = 7.211102551\)
Round to the nearest tenth.\(7.211102551 = 7.2\)
Therefore, the missing side is equal to 7.2.
Hope it helped!
Drag the costs to the table to classify them as direct operational costs or costs
covered by business insurance.
Costs Covered by
Business Insurance
Direct Operational Costs
Rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
What are operating expenses?A continuing cost for maintaining a system, a business, or a product is known as an operating expense, operating expenditure, operational expenditure, operational expenditure, or OPEX.
The expense of creating or providing non-consumable pieces for the system or product is known as capital expenditure (capex).
For instance, the annual costs of paper, toner, power, and maintenance for a photocopier are opex, while the cost of the photocopier itself is capex.
Additional running costs for a service-based business could include rent, insurance, commissions, and other costs.
The majority of these costs are routine daily spending.
Costs that weren't directement necessary for those activities are referred to be non-operating expenses.
Therefore, rent, insurance, commissions, and other expenses could be added to the operating costs of a service-based business. Most of these expenses are regular daily expenses.
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Correct question:
A service business may have some additional operating expenses like rent, insurance, commissions, and so on. Most of these expenses are incurred on a ___ basis.
Can someone help to solve this
6x^3 / x^2 =?
Answer:
6x^3
x^2
Canceling the power we get
6x
1
Hence the answer is 6x
Point M is located at (-2,7). If point N is 10 units away from point M, how many possible cordinate pairs
Answer:
2 possible coordinate pairs
N (8, 17) OR (-12, -3)
Step-by-step explanation:
The rule:
(x, y) => (x + 10, y + 10) OR (x - 10, y -10)
(-2 + 10, 7 + 10) OR (-2 - 10, 7 -10)
(8, 17) OR (-12, -3)
Hope this helps!
Find the area of the shape.
17 m
4 m
7 m
9 m
What is the area
Step-by-step explanation:
Area squares the unit of length. in this case, none of these are area
(By the way is this question tagged with a picture)
The point (3, 0) lies on a circle with the center at the origin. What is the area of the circle to the nearest hundredth? Use 3.14 for π.
The area of the circle is about ___ square units.
NEED THIS ASAP
Answer:
A=28.27units2
Step-by-step explanation:
im not positive on this but you can try
Mr. Dalton only buys two brands of snack bars for his kids: Grateful Grain and Granola Delight. Last week at the store, he bought fewer Grateful Grain bars than Granola Delight bars, but he paid the same amount for both. If he decides to buy the same number of each brand this week, which brand will he spend more money on?
The inference is that when Dalton decides to buy the same number of each brand this week, the brand that he will spend more money on is Grateful Grain.
How to illustrate the information?A judgment or opinion that is reached because of known facts or evidence" is the definition of inference. According to our definition, the inference is a logical step that enables one to draw a conclusion from data or reasoning.
Reading between the lines or using what you know to guess at what you don't know is what it means to infer. Making inferences allows readers to infer information from the text using both their own experiences and the text's hints, making the content more memorable and relatable.
It should be noted that from the information, Dalton bought fewer Grateful Grain bars than Granola Delight bars, but he paid the same amount for both. This means that Grateful Grain is costlier.
Therefore, the inference is that when Dalton decides to buy the same number of each brand this week, the brand that he will spend more money on is Grateful Grain.
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PLEASE ANSWER CORRECTLY and show your work! I will give brainliest!
Answer: The new co-ordinates of A ( 2 ,-6)
Step-by-step explanation:
Type of transformation change to co-ordinate point
Vertical translation up 'd' units (x,y)→(x , y+d)
Vertical translation down 'd' units (x,y)→(x , y-d)
Horizontal translation right 'c' units (x,y)→(x+c , y)
Horizontal translation left 'c' units (x,y)→(x-c , y)
Reflection over x-axis (x,y) →(x , -y)
Reflection over y-axis (x,y) →(-x , y)
Given the original vertex A ( -2 ,3)
a) First reflection over x-axis ( -2 ,3) →(-2 , -3)
b) Vertical translation down '3' units so it changes (-2 , -3)→(-2 , -3-3)
(-2,-3)→(-2 ,-6)
and
c) The Horizontal translation right '4' units
now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)
Final answer:-
The new co-ordinates of A ( 2 ,-6)
Students in school - how do we pay taxes? Get a job? Raise children?
Schools- solve for x
Plz help me With number 8 don’t get it thx
Multiple choice questions 1. Breakspear Co purchased 600,000 of the voting equity shares of Fleet Co when the value of the non-controlling interest in Fleet Co is £150,000. The following information relates to Fleet at the acquisition date. Ihe goodwill arising on acquisition is £70,000. What was the consideration paid by Breakspear Co for the investment in Fleet Co? a) £420,000 b) £770,000 c) £620,000 d) £570,000
The consideration paid by Breakspear Co for the investment in Fleet Co was £570,000.
The consideration paid for an investment in a company includes the fair value of the equity shares purchased and any additional amounts paid for goodwill. In this case, Breakspear Co purchased 600,000 voting equity shares of Fleet Co, and the value of the non-controlling interest in Fleet Co was £150,000. The consideration paid for the investment is calculated by adding the value of the non-controlling interest to the goodwill arising on acquisition. Given that the goodwill arising on acquisition is £70,000, the consideration paid can be calculated as follows:
Consideration paid = Value of non-controlling interest + Goodwill
Consideration paid = £150,000 + £70,000
Consideration paid = £220,000
Therefore, the consideration paid by Breakspear Co for the investment in Fleet Co is £220,000.
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if the simple interest on $5000 for 2 years is $700, then what is the interest rate
converting slope-intercept form into standard form, i’m so confused
Answer:
7x+2y=(-6)
Step-by-step explanation:
The figure is a trapezoid. Find the value of the
variables.
a) x = 85, y = 75
b) x = 75, y = 85
c) x =95, y = 105
d) x = 105, y = 95
Step-by-step explanation:
the kind of the math
sug u. e i hmm f j. ok
convert 2 Bigha into kattha
Answer:
To convert 2 Bigha into Kattha:
If 1 Bigha = 20 Kattha:
2 Bigha = 2 * 20 Kattha = 40 Kattha
If 1 Bigha = 16 Kattha:
2 Bigha = 2 * 16 Kattha = 32 Kattha
(a) (i) What conditions should be satisfied to use image averaging method for noise reduction? (ii) Using mathematical expressions, characterize the noise in the resultant image when K images are averaged, as K becomes large. (iii) Would you select spatial averaging or temporal image averaging when either method can be used for noise reduction? Explain your selection in detail.
(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-
(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.
(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K
Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.
Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.
(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.
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help me pleasee i need help this is my final btw
Answer:
12 sq units
Step-by-step explanation:
height = 3
length = 4
A = l · w
A = 12
Question 4 < < > dy If y = (t? +5t + 3) (2++ 4), find dt dy dt
When y = (t2 + 5t + 3)(2t2 + 4), we may apply the product rule of differentiation to determine (frac)dydt.
Let's define each term independently.
((t2 + 5t + 3)), the first term, can be expanded to (t2 + 5t + 3).
The second term, "(2t2 + 4," is differentiated with regard to "(t") to provide "(4t").
When we use the product rule, we get:
Fracdydt = (t2 + 5 + 3) (2t2 + 4) + (2t2 + 4) cdot frac ddt "cdot frac" ((t2 + 5 t + 3)"
Condensing the phrase:
Fracdydt = (t2 + 5 + 3) cdot (2t + 5)) = (4t) + (2t2 + 4)
Expansion and fusion of comparable terms:
Fracdydt is defined as (4t3 + 20t2 + 12t + 4t3 + 10t2 + 8t + 10t2 + 20t + 15).
Simplifying even more
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I need help with this. Math isn't my strongest suit.
the answer is B
bc of the position
Greek mathematicians studied the salinon, a figure bounded by four semicircles. What is
the area of this salinon to the nearest tenth of a square inch?
1 in.
1 in.
The area of the salinon is
in?
The area of the salinon bounded by four semicircles is 4.7 in²
What is area?Area is the amount of space occupied by a two dimensional shape or object.
Area of a circle = π * radius²
For each of the small semicircle (divide area by 2):
Area = (1/2) * π * 1² = π/2 in²
For the small big semicircle (divide area by 2):
Area = (1/2) * π * 2² = 2π in²
Area of salinon = 2π - π/2 - π/2 + π/2 = 4.7 in²
The area of the salinon bounded by four semicircles is 4.7 in²
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19(2m−16)=13(2m+4) (pls helppp)
Answer:
Simplified this is -304 + 38m = 52 + 26m
m in the equation is 29 2/3
Step-by-step explanation:
Reorder the terms:
19(-16 + 2m) = 13(2m + 4)
(-16 * 19 + 2m * 19) = 13(2m + 4)
(-304 + 38m) = 13(2m + 4)
Reorder the terms:
-304 + 38m = 13(4 + 2m)
-304 + 38m = (4 * 13 + 2m * 13)
-304 + 38m = (52 + 26m)
Simplfied answer:
-304 + 38m = 52 + 26m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-26m' to each side of the equation.
-304 + 38m + -26m = 52 + 26m + -26m
Combine like terms: 38m + -26m = 12m
-304 + 12m = 52 + 26m + -26m
Combine like terms: 26m + -26m = 0
-304 + 12m = 52 + 0
-304 + 12m = 52
Add '304' to each side of the equation.
-304 + 304 + 12m = 52 + 304
Combine like terms: -304 + 304 = 0
0 + 12m = 52 + 304
12m = 52 + 304
Combine like terms: 52 + 304 = 356
12m = 356
Divide each side by '12'.
m = 29.66666667
Simplifying
m = 29.66666667 = 29 2/3
a number leaves a remainder of 1 in each case when divided by 2, 3, 4, 5, 6. Find the number if it is divisible by 7.
Answer:
301
Step-by-step explanation:
The desired number will be a multiple of 7 that is 1 more than some multiple of the least common multiple of 2, 3, 4, 5, and 6. The value can be found by trial and error, or by using inverses modulo 7.
LCMThe least common multiple of 2, 3, 4, 5, 6 will be the product of their prime factors, each to the highest power:
2 = 2; 3 = 3; 4 = 2²; 5 = 5; 6 = 2·3
Then the LCM is 2²·3·5 = 60.
Divisible by 7For some multiple n of 60, we want ...
(60n +1) mod 7 = 0
This is equivalent to ...
4n mod 7 = 6
The solution to this can be found by trial and error, or by making use of the mod-7 inverse of 4 (which is also found by trial and error).
Here are a few trials:
4·1 mod 7 = 4
4·2 mod 7 = 1 . . . . . . this tells us the mod 7 inverse of 4 is 2
4·3 mod 7 = 5
4·4 mod 7 = 2
4·5 mod 7 = 6 . . . . . . the value of n we're looking for is 5
That is ...
(60·5 +1) mod 7 = 301 mod 7 = 0
The (smallest positive) number with the division properties we're looking for is 301.
__
Additional comment
Using 2 as the inverse of 4 mod 7, we can solve for n:
(2)(4n) mod 7 = (2)(6) mod 7 . . . . multiply the equation by the inverse of 4
n = 12 mod 7 = 5 . . . same as the value we found from "trial and error"
Note that 301 is the smallest positive number with the required division properties. Any multiple of 60·7 = 420 added to 301 will also have the required division properties. For example, 721, 1141, 1561, ....