What is the value of y in the solution to the following system of equations?
y= 62 +67
- 5y = -45

Answer:

The answer to this question should be D. 0.67

Hope this helped.

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Answer:

c = 50

Step-by-step explanation:

2c - 3 = 97

2c = 100

c = 50

Answer:

x = 10

Step-by-step explanation:

the angles shown are corresponding angles

corresponding angles are equal

12x - 4 = 10x + 16

subtract 10x from both sides

2x - 4 = 16

add 4 to both sides

2x = 20

divide both sides by 2

x = 10

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

$18515.24

Step-by-step explanation:

27000 x .91

24570

24570 x .91

22358.7

22358.7 x .91

20346.417

20346.417 x .91

18515.23947 =

$18515.24

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)

Triangle ABC is congruent to triangle PQR, where A corresponds to P, B corresponds to Q, and C corresponds to R.

What is congruency?

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

To write a congruence statement for two triangles, we need to identify their corresponding parts and ensure that they are congruent in both triangles.

The congruence statement can be written in the following form:

Triangle ABC is congruent to triangle PQR, where A corresponds to P, B corresponds to Q, and C corresponds to R.

For example, if we have two triangles with vertices A, B, and C and P, Q, and R respectively, and we know that the following pairs of corresponding parts are congruent:

AB ≅ PQ

BC ≅ QR

AC ≅ PR

Then, we can write the congruence statement as:

Hence, Triangle ABC is congruent to triangle PQR, where A corresponds to P, B corresponds to Q, and C corresponds to R.

The symbol ≅ means "is congruent to."

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Solution

verified

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The circumference of circle is 2πr=176

2×

7

22

×r=176

r=176×

22

7

2

1

r=7×4=28cm

Area of circle is πr

2

=

7

22

×28×28=88×28=2464cm

2

Answer:

Dog 1: 16 pounds

Dog 2: 24 pounds

Step-by-step explanation:

2x+3x=40

5x=40

x=8

2x = 16

3x=24

Answer:

The dogs' weights are 16 pounds and 24 pounds

Step-by-step explanation:

Equations:

Martina has two dogs. Their combined weight is 40 pounds. Let's set:

x       = weight of one of the dogs.

40-x = weight of the other dog

The ratio between them is 2:3, thus:

\(\displaystyle \frac{x}{40-x}=\frac{2}{3}\)

Cross multiplying denominators:

3x = 2(40 - x)

Operating:

3x = 80 - 2x

Adding 2x:

5x = 80

Dividing by 5:

x = 80/5 = 16

x = 16 pounds

The weight of the other dog is 40-16=24 pounds.

The dogs' weights are 16 pounds and 24 pounds

Answer:

h(0) = -2

x = 3

Step-by-step explanation:

Line is intersecting x and y axes at points (1, 0) & (0, -2)

Slope of line (m) = (-2 - 0)/(0 - 1) = -2/(-1) = 2

y - intercept (b) = -2

Equation of line in slope-intercept form is given as:

y = mx + b

plugging the values of m and b in the above equation, we find:

y = 2x + (-2)

y = 2x - 2

Replacing y by h(x), we find:

h(x) = 2x - 2 (This is the required function)

Plug x = 0 in the function, this gives:

h(0) = 2(0) - 2

h(0) = 0 - 2

h(0) = -2

Plug h(x) = 4

4 = 2x - 2

4 + 2 = 2x

6 = 2x

x = 6/2

x = 3

instantaneous rate of change of the search length 0.1667 seconds per

We need to take the derivative of the function S(n) with respect to n and evaluate it at n=12 in order to determine the instantaneous rate of change of the search length for a set of 12 articles.

Taking the derivative of S(n) with respect to n using the chain rule, we get:

S'(n) = 1.6 * (1/(0.8n)) * 0.8 = 2/n

Evaluating this expression at n=12, we get:

S'(12) = 2/12 = 0.1667 seconds per article

This indicates that the search time will increase by approximately 0.1667 seconds per article if the set contains 12 articles by one unit. Alternately, the search time per article will decrease by approximately 0.1667 seconds if the set's number of articles decreases by one unit from 12.

Therefore, the units for the instantaneous rate of change are "seconds per article", indicating the change in search time for each additional or fewer article in the set.

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Answer:

-138

Step-by-step explanation:

Calculate it all

Answer:

102

Step-by-step explanation:

I think I am not sure

dear

Answer:

y = 3x+13

Step-by-step explanation:

I would like to ask you if you know how to differentiate an equation to get a slope ?. I always use calculus to get a slope. The slope i found was 3 so i used y-y1 = m(x-x1) formula.

Answer:   y = 3x+13

Step-by-step explanation:

The slope i found was 3 so i used y-y1 = m(x-x1) formula.

Solution

For this case we can do the following:

We can do this:

Representation of a number in three different ways:

133: [12 tens and 13 ones], [13 tens and 3 ones], [1 hundred, 3 tens and 3 ones]

678: [67 tens and 8 ones], [60 tens and 78 ones], [6 hundreds, 7 tens and 8 ones]

877: [80 tens and 77 ones], [87 tens and 7 ones], [8 hundred, 7 tens and 7 ones]

543: [54 tens and 3 ones], [50 tens and 43 ones], [5 hundreds, 4 tens and 3 ones]

453: [45 tens and 3 ones], [40 tens and 53 ones], [4 hundreds, 5 tens and 3 ones]

341: [30 tens and 41 ones], [34 tens and one], [3 hundreds,4 tens and one]

555: [50 tens and 55 ones], [55 tens and 5 ones], [5 hundreds, 5 tens and 5 ones]

485: [48 tens and 5 ones], [40 tens and 85 ones], [4 hundreds, 8 tens and 5 ones]

789: [78 tens and 9 ones], [70 tens and 89 ones], [7hundreds, 8 tens and 9 ones]

864: [86 tens and 4 ones], [80 tens and 64 ones], [8 hundreds, 6 tens and 4 ones]

652: [65 tens and 2 ones], [60 tens and 52 ones], [6hundreds, 5 tens and 2 ones]

Here given an example to write a particular number in different representations.

13 tens and 12 ones = 13*10 + 12*1 = 130 + 12 = 142.

14 tens and 2 ones = 14*10 + 2*1 = 140 + 2 = 142.

1 hundred, 4 tens and 2 ones = 1*100 + 4*10 + 2*1 = 100 + 40 + 2 = 142.

So three representations are of number 142.

Rest blanks should be filled in same manner taking different numbers for each rows and three columns of each row should be filled with three different representation of that assumed numbers.

Representations for some numbers:

133: [12 tens and 13 ones], [13 tens and 3 ones], [1 hundred, 3 tens and 3 ones]

678: [67 tens and 8 ones], [60 tens and 78 ones], [6 hundreds, 7 tens and 8 ones]

877: [80 tens and 77 ones], [87 tens and 7 ones], [8 hundred, 7 tens and 7 ones]

543: [54 tens and 3 ones], [50 tens and 43 ones], [5 hundreds, 4 tens and 3 ones]

453: [45 tens and 3 ones], [40 tens and 53 ones], [4 hundreds, 5 tens and 3 ones]

341: [30 tens and 41 ones], [34 tens and one], [3 hundreds,4 tens and one]

555: [50 tens and 55 ones], [55 tens and 5 ones], [5 hundreds, 5 tens and 5 ones]

485: [48 tens and 5 ones], [40 tens and 85 ones], [4 hundreds, 8 tens and 5 ones]

789: [78 tens and 9 ones], [70 tens and 89 ones], [7hundreds, 8 tens and 9 ones]

864: [86 tens and 4 ones], [80 tens and 64 ones], [8 hundreds, 6 tens and 4 ones]

652: [65 tens and 2 ones], [60 tens and 52 ones], [6hundreds, 5 tens and 2 ones]

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Answer:

the answer is 4+(2x3)^2

Answer:

-1/4

Step-by-step explanation:

y2-y1 / x2-x1 = 53-47 / 9-33 = 6/-24 = -1/4

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:

Step 1: Calculate the monthly interest rate.

The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):

Monthly interest rate = 9.5% / 12 = 0.0079167

Step 2: Determine the monthly payment.

The monthly payment is given as $400.

Step 3: Calculate the interest and principal paid each month.

The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.

Principal paid = Monthly payment - Interest paid

Step 4: Track the remaining balance each month.

Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.

Step 5: Repeat Steps 3 and 4 until the balance reaches zero.

Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.

Step 6: Determine the total number of months and the total amount paid.

Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.

Let's calculate the number of months and the total amount paid, including interest:

Month 1:

Interest paid = 0.0079167 * $1,367.90 = $10.84

Principal paid = $400 - $10.84 = $389.16

New balance = $1,367.90 - $389.16 = $978.74

Month 2:

Interest paid = 0.0079167 * $978.74 = $7.75

Principal paid = $400 - $7.75 = $392.25

New balance = $978.74 - $392.25 = $586.49

Month 3:

Interest paid = 0.0079167 * $586.49 = $4.64

Principal paid = $400 - $4.64 = $395.36

New balance = $586.49 - $395.36 = $191.13

Month 4:

Interest paid = 0.0079167 * $191.13 = $1.51

Principal paid = $400 - $1.51 = $398.49

New balance = $191.13 - $398.49 = -$207.36 (Paid off)

It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:

Total amount paid = 4 * $400 = $1600

Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.

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Given :

Solid 1:

The side of the cube is, a = 8 cm.

Solid 3:

The side of the cube is, b = 4 cm.

The volume of the third cube can be calculate as,

The volume of first cube is,

Thus, the ratio can be calculated as,

Thus the required ratio is 8:1.

Since the volume is proprtional to the cube of the side, the ratio will also be in the range of cube of the fractional difference between the sides.

This differential equation is separable:

(1 + y²) dx + (1 + x²) dy = 0

(1 + y²) dx = - (1 + x²) dy

dy/(1 + y²) = -dx/(1 + x²)

Integrating both sides gives

arctan(y) = -arctan(x) + C

and solving for y gives (over an appropriate domain)

y = tan(C - arctan(x))

(the domain being -1 ≤ y ≤ 1).

If probability distribution for a stock probability outcome is 5, 6 ,5 ,18, 1.

a) The expected return is 1.56

b) The standard deviation is 5.1715  

c) The coefficient of variation is 331.25%.

To calculate the expected return, we multiply each possible outcome by its probability and then sum the results. For example, the expected return from a 5% return is calculated as 0.5 x 5%, or 0.025. We do this for each possible outcome and then sum the results to get the expected return for the investment.

In this case, the expected return is 1.56, which means that over the long run, we can expect to earn an average return of 1.56% on this investment.

The standard deviation is a measure of how much the possible outcomes of an investment vary from the expected return. A higher standard deviation means that the possible returns are more spread out, while a lower standard deviation means that the possible returns are more tightly clustered around the expected return.

To calculate the standard deviation, we first need to calculate the variance, which is the average of the squared deviations from the expected return.

To calculate the variance, we first calculate the deviation of each possible outcome from the expected return. For example, the deviation of a 5% return from the expected return of 1.56% is 5% - 1.56% = 3.44%.

We then square each deviation and multiply it by the probability of that outcome. We do this for each possible outcome, and then sum the results to get the variance. In this case, the variance is 26.7424, which means that the possible returns are quite spread out.

The coefficient of variation is a measure of the risk per unit of return. It is calculated by dividing the standard deviation by the expected return and then multiplying by 100% to get a percentage. In this case, the coefficient of variation is 331.25%, which means that the investment is quite risky relative to its expected return.

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Answer:

-3,-2,-1,0,1,2,3

Step-by-step explanation:

Answer:

O It is less than 5.

Step-by-Step

OK so, first u check if it has a negative. It does, so its at the left of 0. SO you know its less than.

Answer: (1st box) = 6 (2nd box) = 2 (3rd box) = 2/3

Step-by-step explanation:

Answer:

(1st box) = 6

(2nd box) = 2

(3rd box) = 2/3

Step-by-step explanation:

I got a big brain

Answer:

What is a Combination? A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.

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Answer:

C

Step-by-step explanation:

When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C

PLS GIVE BRAINLIST

Happy Easter

Answer:

Step-by-step explanation:

1) i think for the first question any probability greater than 0.4 has more likelihood that it will happen

2) mutually exclusive events are ones that cannot occur at the same time as it's impossible e.g. a single coin toss cannot result in you getting heads and tails

Answer:

=> A/Q,

m + 3m + 2m+ 3m 360° =

9m = 360°

m = 360/9

m = 40°

Angle A = m = 40°

Angle B = 3m = 120°

Angle C 2m = 80° =

Angle D = 3m = 120°