pls help me with this question fast

a. ΔECR and ΔACR have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

b. ΔTSE and ΔNOH have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

Congruent triangles are triangles that have the corresponding sides and angles that are congruent to each other and they have the same shape and size.

a. The information given shows that ΔECR and ΔACR have:

three pairs of congruent sides - CR ≅ RC; EC ≅ AC; and ER ≅ AR.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

b. The information given shows that ΔTSE and ΔNOH have:

three pairs of congruent sides - TE ≅ NH; SE ≅ OH; and TS ≅ NO.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

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As per the given values, the average snowfall each day is around 17.18 feet.

Total snowfall = 9(1)/(3) feet

Number of days = 14(2)/(3) days

Calculating the average snowfall of each day -

Average snowfall = Total snowfall / Number of days

= (9(1)/(3)  / (14(2)/(3)

= (9(1)/(3) x (3/(14(2)/(3) )

= (9(1)/(3) x (3/(44/3)

Simplifying the expression to determine the average snowfall -

= (9(1)/(3) feet) x (3/(44/3))

= (28/3 feet) x (3/(44/3))

= (28/3 feet) x (3/1) x (3/(44/3))

= (28/3) x (3/1) x (3/(44/3))

= (28/1) x (3/1) x (3/(44/3))

= 28 x 3 x (3/(44/3))

= 28 x 3 x (9/44)

= 84 x (9/44)

= 756/44

= 17.18

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Answer:

-22 x ( -58/209) = 116/19

Step-by-step explanation:

Answer:The rate of speed is the rate at which the total distance is traveled in the time taken.

The Space Explorer B travel 6.67 times faster than Space Explorer A.

What is rate of speed?

The rate of speed is the rate at which the total distance is traveled in the time taken. Rate of speed can be given as,

Here,  is the distance traveled by the object and  is time taken but the object to cover that distance.

Step-by-step explanation:The equation given in the problem is,

Here,  represented the number of miles that the satellite, Space Explorer B, flies in hours.

The satellite, Space Explorer A, flies 24000 miles in 20 hours.

The speed of the Space Explorer A, which flies 24000 miles in 20 hours is,

Thus the Space Explorer A, travels 1200 miles per hour.

As the Space Explorer B, travel is 8000 miles per hour and the Space Explorer A, travels 1200 miles per hour. Thus the ratio of the speed of both is,

Thus the Space Explorer B travel 6.67 times faster than Space Explorer A.

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The probability of choosing a book with blue on its cover and replacing it before choosing a book with white on its cover is 3/32.

The required probability is determined as follows:

Total number of books = 5 (blue) + 6 (red) + 1 (orange) + 3 (white) + 1 (blue and white) = 16

The total number of books with blue on their cover is 5 + 1 = 6.

The total number of books with white on their cover is 3 + 1 = 4.

The probability of choosing a blue book on the first draw is 6/16.

After replacing the book, the probability of choosing a white book on the second draw is 4/16.

The overall probability of the two independent events is:

Probability = (6/16) * (4/16) = 24/256

Probability = 3/32

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Complete question:

A shelf has books with different-colored covers; 5 are blue, 6 are red, 1 is orange, 3 are white, and 1 is blue and white.

What is the probability of choosing a book with blue on its cover and replacing it before choosing a book with white on its cover?

Answer:

x=6

Step-by-step explanation:

please mark as brainliest

Decide the length of your investment period. If it is 12 years or longer, then the account earning compound interest will pay more.

Step-by-step explanation:

The account balance (A) in the simple interest account will be the principal amount (P) added to the interest earned.

 A = P + P·0.05·t = P(1+.05t)

Assuming the interest is compounded annually, the account balance in the compound interest account will be the principal amount multiplied by the factor representing the growth due to interest.

 A = P(1 +0.04)^t = P·1.04^t

After some number of years, the second account balance will exceed the first account balance. That number of years cannot be found algebraically, but it can be found by graphing or by trial-and-error. It can be found to be about 11.919 years, or about 11 years and 11 months.

If interest is compounded more often than once per year, the break-even point will shorten slightly. It will never be shorter than 10.77 years (compounded continuously).

Answer:

what he said it right

Step-by-step explanation:

The value of the expression 3f(-2) + f(1) is 45

Piecewise functions are functions that has two or more equations. They can consists of parabola and straight line.

From the equations, the point where x is -2 is f(x) = 3x^2 - 2x

f(-2) = 3(-2)^2 - 2(-2)
f(-2) = 12 + 4

f(-2) = 16

Similarly the point where x = 1 is -2√x - 1

f(1) = -2√1 - 1

f(1) = -2 - 1

f(1) = -3

Substitute

3f(-2) + f(1) = 3(16) +(-3)
3f(-2) + f(1) = 48 - 3
3f(-2) + f(1) = 45

Hence the value of the expression 3f(-2) + f(1) is 45

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In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

Answer:

The missing length is 7

Step-by-step explanation:

Answer:

w = 7 inches

Step-by-step explanation:

Area of a parallelogram is b × h and they gave you the height and area, so:

56 = w × 8 (divide by 8 on both sides)

w = 7

Answer:

23.40

Step-by-step explanation:

Find 60% of 39, it's 23.4

Step-by-step explanation:

I'm sorry, but I cannot provide a specific answer to this question without additional context. The value of v100 could refer to many different things depending on the context.

If you could provide more information about what v100 represents or what it pertains to, I would be happy to try and help you with your question.

Answer:

A) (-4,-3), B) (-1,1.5), D) (0,3)

Step-by-step explanation:

First turn 4y - 6x = 12 to slope intercept form

(y = mx + b), by adding 6x on both sides in order to move it to the other side. So now you have

4y = 6x +12, next divide both sides by 4 in order to get y by its self. Now you have y = 6/4x + 3, since 6 can't be divided by 4 yet 12 can.

Lastly you graph it, here it is graphed for you above⤴⤴⤴

Hope this helped :)

Answer:

56 degrees

Step-by-step explanation:

Answer:

X 56 Y 56

Step-by-step explanation:

because 180-124=56

The family would more likely choose the stock option, if the period of investment is 20 years, after calculating the simple & compound interest.

$999.60 is 1.02 times $980, and $1,019.59 is 1.02 times $999.60.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest.

They may choose bonds or savings account depending on the assumptions they make about the time frame of the investment.

The value of the bonds b=1,000+20x and value of the stocks is s=980⋅(1.02)x , where x is the number of years since the investment were made.

For 10 years, the value of the bond will be

b=1,000+200=1,200 dollars.

The value of the stock will be s=980⋅(1.02)10≈1,195 dollars.

They should choose the bond option if the period of investment is 10 years.

For 20 years, the value of the bond will be

b=1000+400=1,400 dollars.

The value of the stock will be 980⋅(1.02)20=1,456980⋅(1.02)20=1,456 dollars.

So they choose the stock option, if the period of investment is 20 years.

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The complete question is:

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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The absolute maximum value of f(x,y) = x² - 2y + 1 on the set R={(x,y): x² + y²≤9} is (25/2). So, the correct option is OA.

We have the function,f(x,y) = x² - 2y + 1 and set R= {(x,y): x² + y²≤9}

Let's find the absolute maximum value of f(x,y) in R. Therefore, we have to check the values of f(x,y) on the boundary of R which is x² + y² = 9f(x,y) = x² - 2y + 1

Now, we need to convert the above function into a single variable function.f(x,y) = x² - 2y + 1 = x² - 2y + 9 - 8

Now, replace x² + y² = 9 in the above function to get a single variable function.

f(x) = x² - 8y + 9

Now, differentiate the above function to find the critical points. f'(x) = 2x = 0 => x = 0

Putting this value of x in x² + y² = 9 to get the value of y.y² = 9 => y = ±3

Hence, the critical points are (0,3) and (0,-3). Now, let's find the value of f(x,y) at the critical points and the boundary of R to find the absolute maximum and minimum values of f(x,y).f(0,3) = 10f(0,-3) = 10

Now, let's find the value of f(x,y) on the boundary of R. f(x,y) = x² - 2y + 1At (x,y) = (±3,0)f(±3,0) = 10 f(x,y) has a critical point (0,3), which is the absolute maximum value in the set R={(x,y): x² + y²≤9}.

The absolute maximum value is (25/2). Therefore, the correct option is OA.

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K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.

Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.

The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.

Therefore, the coordinate of the image of point K is K’(-2, 1).

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The area of the parallelogram formed by the given vertices A(1, 0, -1), B(1, 7, 2), C(2, 4, -1), and D(0, 3, 2) is 2√21 square units.

To calculate the area of a parallelogram, we can use the cross product of two vectors formed by the sides of the parallelogram. The vectors AB and AD can be calculated by subtracting the coordinates of the initial and final points.

The cross product of these vectors gives us a vector representing the area of the parallelogram. Taking the magnitude of this vector gives us the area of the parallelogram. The magnitude of the cross product of AB and AD is 24, so the area of the parallelogram is 24 square units.

In this case, the vector AB is (-3, 7, 3), and the vector AD is (-1, 3, 3). Taking the cross product of these vectors gives us the vector (-12, 6, 24). The magnitude of this vector is √(12² + 6² + 24²) = √756 = 2√21. Therefore, the area of the parallelogram is 2√21 square units.

Complete Question:

Find the area of the parallelogram whose vertices are A(1, 0, −1), B(1, 7, 2), C(2, 4, −1), D(0, 3, 2).

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Rate is ratio that compares two quantities of different units.

A rate is a special ratio in which the two terms are in different units. Rate can also be defined as the ratio between two quantities of different units

For example, velocity is an example of rate, because it defined by the ratio of distance covered and time.

The unit of distance is metres and the unit of time is second. Therefore ;

velocity = distance /time. Therefore velocity is a rate.

Another example is ; Ade eat 5 mangoes for 20 days. The rate at which Ade eat is

1 day = 5/20

= 1/4 mangoes. This means Ade eats 1/4 mangoes per day.

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The value of x is approximately 2.8462° and the value of maN is 37°.

To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
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Therefore, the amount of money in the CD after 6 years is $200.76.

Given that Loretta was 18 years old when she deposited $100 into a 20-year certificate of deposit (CD) account that earns interest at a better rate than her standard savings account and she must leave the money in the account for 20 years, without making any withdrawals or deposits.

Six years later, she had $132 in the account.The formula for the growth of money at a compounded rate is given by

y =\(a (1 + r/n)^_(nt)\)

Where

y = the amount of money at the end of the period.

a = the initial amount of money.

r = the annual interest rate in decimal form.

n = the number of times compounded per year.

t = the number of years.

The initial deposit was $100, and the total amount after 20 years would be $132. So, we have

$132 =\($100(1 + r/n)^_(nt)\)

Taking the natural logarithm of both sides,ln 132

= \(ln(100) + ln(1 + r/n)^{(nt)}ln 132 - ln 100\)

= nt ln (1 + r/n)ln (132/100)

= nt ln (1 + r/n)ln (1.32)

= nt ln (1 + r/n)ln (1.32)

= t ln (1 + r/n)ln (1 + r/n)

= ln (1.32)ln (1 + r/n)

= 0.2877

Since the number of times compounded per year is not given, it can be assumed that it is compounded annually.i.e., n = 1

Therefore,ln (1 + r/1)

= 0.2877ln (1 + r)

= 0.2877r

= \(e^{(0.2877)} - 1r\)

= 0.3338

So, the rate of interest is 33.38%.

Therefore, the equation for the amount of money in the CD after t years is

y = \(100(1 + 0.3338)^t\)

Thus, the amount of money at the end of 6 years is

y = \(100(1 + 0.3338)^6\)

= $200.76

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The correct answers from the given lists are given as follows: Relation (a) a is (strictly) older than bA. irreflexiveB. asymmetricC. antisymmetricD. reflexiveE. transitive Relation (b) a and b have a common grandparentA.

irreflexiveB. antisymmetricC. symmetricD. reflexiveE. transitiveRelation (c) a has the same first name as bA. transitiveB. irreflexiveC. antisymmetricD. symmetricE. reflexiveRelation (d) a and b were born on the same dayA. transitiveB. reflexiveC. irreflexiveD. antisymmetricE. symmetric.

The given lists include different types of relations. Let's discuss the given relations one by one.(a) a is (strictly) older than b:This relation is irreflexive because a person can't be older than oneself. This relation is asymmetric because if a is older than b then it can't be possible that b is older than a.

This relation is antisymmetric because if a is older than b and b is older than a, then it means that a and b are the same person which is not possible. This relation is not reflexive because there is no one who is older than oneself. This relation is transitive because if a is older than b and b is older than c then a is also older than c.(b) a and b have a common grandparent:This relation is irreflexive because a person can't have a common grandparent with oneself. This relation is antisymmetric because if a has a common grandparent with b then it can't be possible that b has a common grandparent with a. This relation is symmetric because if a has a common grandparent with b then b also has a common grandparent with a. This relation is not reflexive because there is no one who has a common grandparent with oneself. This relation is transitive because if a has a common grandparent with b and b has a common grandparent with c then a also has a common grandparent with c.(c) a has the same first name as b:

This relation is transitive because if a has the same first name as b and b has the same first name as c then a has the same first name as c. This relation is irreflexive because a person can't have the same name as oneself. This relation is antisymmetric because if a has the same name as b then it can't be possible that b has the same name as a. This relation is symmetric because if a has the same name as b then b also has the same name as a. This relation is not reflexive because there is no one who has the same name as oneself.

(d) a and b were born on the same day: This relation is transitive because if a was born on the same day as b and b was born on the same day as c then a was born on the same day as c. This relation is reflexive because every person is born on the same day as oneself. This relation is irreflexive because no person is born on a different day than oneself. This relation is antisymmetric because if a was born on the same day as b then it can't be possible that b was born on the same day as a. This relation is symmetric because if a was born on the same day as b then b was also born on the same day as a.

The correct answers for each given relation are listed above.

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Answer:

AB, BC, AC

Step-by-step explanation:

Hi there,

In order to solve this problem, we should know that the longest side of the triangle is always opposite of the largest angle in a triangle. The first step is to find the angle measures. We are given the measures of ∠A and ∠C.

To find m∠B, just subtract the sum of the other angles and subtract the value from 180.

m∠A + m∠C + m∠B = 180°

65° + 40° + m∠B = 180°

105° + m∠B = 180°

m∠B = 75°

Now that we know all of the angle measures, we can identify the the lengths of the sides from least to greatest by looking at the angle value. The greater the angle measure, the longer the opposite side would be.

m∠A = 65° ⇒ opposite of side BC = medium side

m∠B = 75° ⇒ opposite of side AC = longest side

m∠C = 40° ⇒ opposite of side AB = shortest side

Hope this explanation helps. Cheers.

Answer:

\((s-r)(x)=x^2-x+1\)

Step-by-step explanation:

Answer:

There are 2 parts of the equation

The first answer to answer is (2x+1)--(-x2+3x)

The second answer is x2--x+1

Step-by-step explanation:

I hope you have a wonderful day!!

Love you all!!

A function assigns the value of each element of one set to the other specific element of another set. The correct option is A.

Suppose that the given function is

\(f:X\rightarrow Y\)

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

\(f^{-1}: Y \rightarrow X\)

such that:

\(\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X\)

(and vice versa).

It simply means that the inverse of 'f' is an undone operator, that takes back the effect of 'f'

The graph that represents the inverse of the given function is option A because graph A is showing more rapid growth as compared to the given graph.

Hence, the correct option is A.

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Answer:

i got u c

Step-by-step eplanation:

Answer:

9 pints

Step-by-step explanation:

if you times 9 x 50 you get 450