Find the solution to the system of equations given below:
x=-4
-5x-4y=16

PLS HELP

A correlation coefficient, r can never be less than -1 or greater than 1. Thus, d. 1.032 is not possible as a correlation coefficient.

The correlation coefficient, r is a measure of the direction and strength of the linear relationship between two variables. The correlation coefficient (r) varies between -1 and 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation. A value greater than 1 or less than -1 is not possible. Therefore, the value that could not represent a correlation coefficient is d. 1.032.

Given, the correlation coefficient varies between -1 and 1. The value that could not represent a correlation coefficient is 1.032 since it is greater than 1. A correlation coefficient, r of -1 indicates a perfect negative correlation where one variable decreases as the other increases. A correlation coefficient, r of 1 indicates a perfect positive correlation where both variables move in the same direction. A correlation coefficient of 0 indicates no linear relationship between the two variables.  A correlation coefficient, r can never be less than -1 or greater than 1.

Thus, d. 1.032 is not possible as a correlation coefficient.

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Answer:

= 6

Step-by-step explanation:

\(\sqrt{4b}\\ b = 9\\then:\)

= √(4*9)

= √36

= 6

The level of consumption when the level of income is 850 million is 500 million. We need to use the formula for consumption function, which is C = A + bY, where C is consumption, A is autonomous consumption, b is the marginal propensity to consume, and Y is income.

In this case, we are given that autonomous consumption is 75 million and the marginal propensity to save is 0.5. Since the marginal propensity to consume (MPC) and the marginal propensity to save (MPS) add up to one, we can calculate the marginal propensity to consume as follows:
MPC = 1 - MPS
MPC = 1 - 0.5
MPC = 0.5

Therefore, the consumption function can be written as: C = 75 + 0.5Y
To find the level of consumption when the level of income is 850, we can substitute Y = 850 into the consumption function:
C = 75 + 0.5(850)
C = 75 + 425
C = 500
So the level of consumption when the level of income is 850 is 500 million.  In summary, the answer to the question is that the level of consumption when the level of income is 850 is 500 million.

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The eigen d²u + Au=0 ulo)= u(n)=0 dx² the (i) Prove that the above problem are positive, The given value problem for the equation d²u + Au = 0 has positive eigenvalues.

To prove this, we consider the possibilities when A = 0 and A ≠ 0 separately.

(i) When A = 0, the equation becomes d²u = 0. The general solution to this equation is u(x) = Ax + B, where A and B are constants. Applying the boundary conditions u(0) = 0 and u(n) = 0, we find that B = 0, and thus, u(x) = Ax. Since the eigenvalues correspond to non-zero solutions, we conclude that when A = 0, there are no positive eigenvalues.

(ii) When A ≠ 0, the equation becomes a standard eigenvalue problem. We can solve it by assuming u(x) = e^(rx), where r is the eigenvalue. Plugging this into the equation, we get the characteristic equation r² + A = 0. Solving this quadratic equation gives us two eigenvalues: r = ±√(-A). Since A is positive, the eigenvalues are imaginary, and there are no positive eigenvalues in this case.

Therefore, in both cases (A = 0 and A ≠ 0), the given value problem does not have positive eigenvalues.

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The value of ACD of a trapezium is 26.56°.

Let ABCD be a trapezoid with BCǀǀAD and AB=BC=CD= ½ AD.

ACD can be determined by using the Pythagorean theorem or using the theorem of Pythagoras.

The theorem of Pythagoras states that if you draw a right-angled triangle with the hypotenuse as c and the legs a and b.

The sum of squares of the legs (a and b) equals the square of the hypotenuse (c).

Therefore, by using the Pythagorean theorem ; AC² = AB² + BC²

=> AC² = (1/2 AD)² + (1/2 AD)²

=> AC² = 1/4 AD² + 1/4 AD²

=> AC² = 1/2 AD².

Hence,AC² = 1/2 AD²

ACD is a right-angled triangle where AC is the hypotenuse.

Thus, using the theorem of Pythagoras, we can write: AD² = AC² + CD²

=> AD² = [√(1/2 AD²)]² + (AD/2)²

=> AD² = 1/2 AD² + 1/4 AD²

=> AD² = 3/4 AD²=> AD = √4/3 AD

Thus, ACD=ACD = tan¯¹(√1/2 AD²/AD/2) = tan¯¹(√2/4) = 26.56°

Therefore, ACD is 26.56°.

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Answer:C

Step-by-step explanation: You want to add up all the marbles, and then take the red marbles and divide by all the marbles 7/20

Answer:

\(M=\frac{280}{140} =2\)

\(C=2+5=7\)

(2 Movies and 7 Commercials)

Step-by-step explanation:

Let's represent every time Carson's songs are played in a commercial as C and in movies as M.

Set up the following equations:

\(20C+120M=380\)  (1)

\(C=M+5\)   (2)

Substitute equation 2 for equation 1:

\(20(M+5)+120M=380\)

Distribute:

\(20M+100+120M=380\)

Simplify:

\(140M=280\)

Divide both sides by 140:

\(M=\frac{280}{140} =2\)

Substitute 2 as M back into either original equation, I will use (2):

\(C=2+5=7\)

Answer:

Step-by-step explanation:

The missing angles of the shape are

For a rhombus shape, the opposite angles are equal and the sum of the angles are equal to 360 degrees

The four shapes makes a fifth rhombus between them

2 < BIF + 2 < IBJ = 360

2 < BIF + 2 * 54 = 360

2 < BIF + 108 = 360

2 < BIF = 360 - 108

2 < BIF = 252

< BIF = 152

solving for < JBC

2 <JBC + < JBI = 180

< JBC = < IBA

2 < JBC + 54 = 180

2 < JBC = 180 - 54

2 < JBC = 126

< JBC = 63

Solving for < BJD

2 < JBC + 2 < BJD = 360

126 + 2 < BJD = 360

2 < BJD = 360 - 126

2 < BJD = 234

< BJD = 117

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The probability of getting at least 60 heads in 100 tosses is the sum of these probabilities multiplied by the number of ways to get at least 60 heads (C(100, 60)).

To find the probability of winning at least $20 after 100 coin tosses, we can use the binomial distribution.

In this case, we want to find the probability of getting at least 10 more heads than tails, since each head gives us $2 and each tail takes away $2.

Let's break down the problem step by step:

1. Calculate the probability of getting a head (H) or a tail (T) in a single coin toss:

The probability of getting a head (H) is 1/2.

The probability of getting a tail (T) is also 1/2.

2. Determine the number of ways to get at least 20 more heads than tails in 100 tosses:

To win at least $20, we need to get 60 or more heads (since 60 heads would result in $120, which is $20 more than 40 tails).

We can use the binomial coefficient formula to calculate this. The formula is:

C(n, k) = n! / (k!(n-k)!)

In our case, n is 100 (the number of tosses) and k is 60 (the minimum number of heads we need).

Therefore, C(100, 60) = 100! / (60!(100-60)!).

3. Calculate the probability of getting at least 60 heads in 100 tosses:

The probability of getting exactly 60 heads is (1/2)^60.

The probability of getting exactly 40 tails is (1/2)^40.

The probability of getting at least 60 heads in 100 tosses is the sum of these probabilities multiplied by the number of ways to get at least 60 heads (C(100, 60)).

To find the final probability, you would need to calculate the sum of the probabilities for getting 60, 61, 62, ..., 100 heads, and add them all together.

The actual calculation for all these probabilities is quite extensive and time-consuming. It is recommended to use statistical software or calculators with binomial distribution functions to get accurate results.

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Bro why did you search up south Korea flag

Answer:

A the first one

Answer: To solve the equation log(2t + 4) = log(14 - 3t), we can use the property of logarithms that states if log base a of x equals log base a of y, then x equals y.

Therefore, in this case, we have:

2t + 4 = 14 - 3t

Let's solve for t:

2t + 3t = 14 - 4

5t = 10

Dividing both sides by 5:

t = 2

So the solution to the equation log(2t + 4) = log(14 - 3t) is t = 2.

Answer:

8

[2] +[-6]

2 + 6 = 8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

if you plug in the X values, you get the corresponding Y values.

The function that would give the product of the numbers is f(x) = x (28 - x)

A function in mathematics is a relationship between a set of inputs (referred to as the domain) and a set of outputs (referred to as the codomain or range), where each input is connected to each output exactly once. Each input value is given a distinct output value.

We are told that the sum of the two numbers is 28 thus;

Let the first number be x

'Let the second number be 28 - x

We would have that;

f(x) = x (28 - x)

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Answer:

D

Step-by-step explanation:

Answer:

Cups of carrot needed for 9 servings = 4.5 cups

Step-by-step explanation:

A recipe for sesame chicken calls for cup of chopped carrots

recipe 2 is for 4 servings

That is

2 cups of carrot = 4 servings

2 : 4

= 1 : 2

1 cup of carrot = 2 servings

how many cups of

carrots are needed for 9 servings?

Let x= number of carrot needed for 9 servings

1 : 2 = x : 9

1 /2 = x/ 9

Cross product

1*9 = 2*x

9=2x

Divide both sides by 2

9/2 = x

x= 4.5 Or 4 1/2

Answer:

Step-by-step explanation:

Its number line 2.

Answer:

0.040 "<" 0.207

Step-by-step explanation:

0.040

0.207

We can see that there is a 2 in 0.207 in the tenths spot, which automatically makes it larger than 0.040.

Write an inequality using the "<" sign:

0.040 < 0.207.

Hope this helps!

Answer:

32.3 (square feet)

Step-by-step explanation:

convert the number into improper fractions (format a/b):

6 4/5 = (6 X 5 + 4) /5 = (30 + 4)/ 5 = 34/5.

4 3/4 = (4 X 4 + 3) /4 = (16 + 3) /4 = 19/4.

the area = length X width.

(34/5) X (19/4) = (34 X 19) / (5 X 4)

= (646) /20

= 32.3 (square feet)

Answer:

y = -7/8x + 4

Step-by-step explanation:

Slope-intercept form :

y = mx + b

Hence, the equation formed is :

The translation undergone by the object with Yolanda is; (x, y + 4)

In transformation in maths, there are different types such as reflection, dilation, rotation, translation e.t.c

We are dealing with reflection and translation here. Reflection is simply the mirror image of the object while translation is moving the object from one point to the other while preserving its' shape and dimensions.

Now, we are told that Yolanda reflects an object in the line y = -1.

The line  y = -1 is a horizontal line passing through all points with a y-coordinate of -1. Thus;

The x-coordinate will remain the same but the y-distance will be y + 1.

Under reflection the y-coordinate will be 1 units above the line y = -1

That is -1 - (y + 1)= -2 - y

She now reflects it in the line y = 1 and likewise, the x-coordinate will remain the same but the y-coordinate will now be;

2 - (-2 - y) = y + 4

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Answer:

3/2

Step-by-step explanation:

Csc(theta) = 1/Sin(theta)

So we have to find the side opposite theta.

a = 3*sqrt(5)

b = ?

c = 9

a^2 + b^2 = c^2

(3sqrt(5)) ^2 + b^2 = 9^2

9*5 + b^2 = 81

b^2 = 81 = 45

b^2 = 36

sqrt(b^2) = sqrt(36)

b = 6

Sin(theta) = 6/9

Csc(theta) = 1 / sin(theta) = 9/6

Csc(theta = 3/2

Problem 3

=====================================================

Explanation:

Use the pythagorean theorem to find the length of the missing side.

\(a^2 + b^2 = c^2\\\\a^2 + (3\sqrt{5})^2 = 9^2\\\\a^2+3^2*(\sqrt{5})^2 = 9^2\\\\a^2 + 9(5) = 81\\\\a^2 + 45 = 81\\\\a^2 = 81-45\\\\a^2 = 36\\\\a = \sqrt{36}\\\\a = 6\\\\\)

This is the length of the missing vertical side. This side is opposite the angle theta.

\(\csc = \text{cosecant}\\\\\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{9}{6}\\\\\csc(\theta) = \frac{3*3}{3*2}\\\\\csc(\theta) = \frac{3}{2}\\\\\)

Alternatively, you can compute it like this

\(\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{6}{9}\\\\\sin(\theta) = \frac{2}{3}\\\\\csc(\theta) = \frac{1}{\sin(\theta)}\\\\\csc(\theta) = 1 \div \sin(\theta)\\\\\csc(\theta) = 1 \div \frac{2}{3}\\\\\csc(\theta) = \frac{3}{2}\\\\\)

Answer: The amount is $43492.35 and the interest is $10992.35.

Step-by-step explanation:

To find amount we use formula:

A = P(1+r/n)^nt

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

P=32,000 , R=6% , N = 1 T= 5 YEARS

After plugging the given information we have

A=32000(1+0.06/1)^1.5

A=32500*1.06^5

A=32500*1.338226

A=$43492.35

To find interest we use formula A=P+I , since A= 43492.35  P =32500  we have:

A=P+I

$43492.35 = 32500+I

I=$43492.35-32500

I=$10992.35

Step-by-step explanation:

To get  TO   H   FROM   G    is 4 LEFT and DOWN 1  .

To find the constant of proportionality:

We can see that for every 1 unit we move to the right on the x- axis (positive), the line moves up 2 units.

Divide the change on y by that change on x:

2/1=2

The constant of proportionality is 2. (option a)

To measure out 16 scoops of flour using the 1/2 cup measuring cup to get the correct amount of flour for the recipe.

One real problem involving the multiplication of two mixed numbers whose product is about 14 could be:

A recipe calls for 1 and 3/4 cups of flour, but you only have 1/2 cup measuring cup. How many scoops of flour do you need to measure out in order to get the correct amount of flour for the recipe?

To solve this problem, we need to multiply the two mixed numbers:

1 and 3/4 * x/2 = 14

First, we convert the mixed number 1 and 3/4 to an improper fraction:

1 and 3/4 = 7/4

Next, we solve for x:

(7/4) * (x/2) = 14

Multiplying both sides by 2 gives:

(7/4) * x = 28

Dividing both sides by 7/4 gives:

x = 16

Therefore, we need to measure out 16 scoops of flour using the 1/2 cup measuring cup to get the correct amount of flour for the recipe.

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To calculate the difference in interest earned by Abigail and Vicki, we need to use the compound interest formula:  A = P(1 + r/n)^(nt). After 7 years, Vicki will have earned $1,582 more in interest than Abigail (rounded to the nearest dollar).

Where:
A = the amount of money after t years
P = the principal (initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years

For Abigail:
A = 14000(1 + 0.045/12)^(12*7) = 18645.50

For Vicki:
A = 14000(1 + 0.06/12)^(12*7) = 20363.55

The difference in interest earned by Vicki is:
20363.55 - 18645.50 = 1718.05

Rounding to the nearest dollar, Vicki will have earned $1,718 more in interest than Abigail after 7 years.

To compare the interest earned by Abigail and Vicki after 7 years, we will use the compound interest formula:

A = P(1 + r/n)^(nt)

where:
A = the future value of the investment
P = the principal amount (initial investment)
r = the annual interest rate (decimal)
n = the number of times interest is compounded per year
t = the number of years

For Abigail's account:
P = $14,000
r = 4.5% = 0.045
n = 1 (compounded annually)
t = 7 years

A_Abigail = 14000(1 + 0.045/1)^(1*7)
A_Abigail = 14000(1.045)^7
A_Abigail ≈ $19,710 (rounded to the nearest dollar)

For Vicki's account:
P = $14,000
r = 6% = 0.06
n = 1 (compounded annually)
t = 7 years

A_Vicki = 14000(1 + 0.06/1)^(1*7)
A_Vicki = 14000(1.06)^7
A_Vicki ≈ $21,292 (rounded to the nearest dollar)

To find the difference in interest earned:
Difference = A_Vicki - A_Abigail
Difference = $21,292 - $19,710
Difference = $1,582

After 7 years, Vicki will have earned $1,582 more in interest than Abigail (rounded to the nearest dollar).

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