-6x - x + 10 = 15 - 7x - 5
O a. all real numbers
O b.-12
O c. 10
O d. 12
What is the answer

You will have $5,333.85 in your CD at the end of the 5 years.

The formulation for the future value of an investment with monthly compounding is:

\(CD = P(1 + \frac{r}{n} )^{(nt)}\)

Wherein:

Plugging in the given values:

\(CD= 5000(1 + \frac{0.0125}{12} )^{(12*5)}\)

\(CD = 5000(1.00104)^{60}\)

CD = 5000(1.06677)

CD = $5,333.85

Consequently, you will have $5,333.85 in your CD at the end of the 5 years.

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(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

ANSWER

7x + y = -19 Option A

EXPLANATION

Step 1:

y = mx + c where,

m = slope = -7,

y = -5,

x = -2 and

c = intercept = ?

-5 = -7(-2) +c

-5 = 14 + c

-5 - 14 = c

c = -19

Step 2: Insert the value of c

y = -7x - 19

add -7x to both sides

y + 7x = -7x - 19 + 7x

7x + y = - 19

Answer:

b=\(\frac{3f}{ 4} + \frac{3r }{ 4 }\)

Step-by-step explanation:

To find the acceptance set A for a significance level of α = 0.09 and rejection set R of the form { |K - E(K)| > c}, we first need to calculate the expected value and variance of K.

(A) Since the coin is fair, E(K) = 50 and Var(K) = 25/2. Using the Central Limit Theorem, we can approximate K as a normal distribution with a mean of 50 and a standard deviation of 2.5. We can then find the value of c such that P(|K - 50| > c) = 0.09/2 = 0.045. Solving for c, we get c = 3.325. Therefore, the acceptance set A is {45 < K < 55}.

(b) For a significance level of α = 0.018 and rejection set R of the form {K > λ}, we again use the Central Limit Theorem to approximate K as a normal distribution with a mean of 50 and a standard deviation of 2.5. We can then find the value of λ such that P(K > λ) = 0.018. Using a normal distribution table or calculator, we find λ to be approximately 60.5. Therefore, the acceptance set A is {K ≤ 60}.

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The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.

At time t=0,

the standing wave can be mathematically expressed as

y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.

This means that the displacement of the string is zero at time t=0.

However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.

As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).

The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.

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The coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.

Thus, the coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).

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The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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The length of side x is given as follows:

\(x = 2\sqrt{7}\)

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

In the context of this problem, we have that the parameters are given as follows:

Hence we apply the sine of 30º to obtain the length x, as follows:

sin(30º) = sqrt(7)/x

\(\frac{1}{2} = \frac{\sqrt{7}}{x}\)

\(x = 2\sqrt{7}\)

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When comparing an angle with a measure of 120° to an angle with a measure of es002-1  radians, it is important to understand the concept of radians.

Radians are a unit of measure for angles that are based on the radius of a circle. Specifically, one radian is equal to the angle subtended by an arc of a circle that is equal in length to the radius of the circle.

In this case, we know that the angle with a measure of 120° is measured in degrees, while the angle with a measure of es002-1 radians is measured in radians. To compare these two angles, we need to convert one of them to the other unit of measure.

To convert 120° to radians, we can use the formula: radians = degrees x (π/180). Plugging in 120 for degrees, we get: radians = 120 x (π/180) ≈ 2.09 radians.

Now that we have both angles measured in radians, we can compare them. The angle with a measure of 2.09 radians is larger than an angle with a measure of es002-1 radians because 2.09 is a little bit more than pi,

which is approximately 3.14. Specifically, an angle of es002-1 radians is equivalent to 180°/π ≈ 57.3°, which is much smaller than the 120° angle we started with.

In summary, we can compare angles measured in degrees and radians by converting them to a common unit of measure.

In this case, we found that an angle with a measure of 120° is larger than an angle with a measure of es002-1 radians.

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Answer:

a = 18.8

Step-by-step explanation:

With it being a right angle, you can use the pythagorean theorem equation.

\(a^{2} + b^{2} =c^{2} \\a^{2} + 18^{2} =26^{2} \\a^{2} +324 = 676\\a^{2} = 676 - 324 \\a^{2} = 352\\a = \sqrt{352} \\a = 18.76 = 18.8\)

Answer:

The set of all persons in America is a finite set.

The set of all birds in California is a finite set.

Step-by-step explanation: hope those help

Answer:

3=3x+3

4=2x+8

Step-by-step explanation:

Answer:

The answer is 5f + 6g +12

Step-by-step explanation:

Answer:

5f + 6g +12

Step-by-step explanation:

Simplify the expression.

Answer:

The point where f(x), g(x), and h(x) have the same value is (8, 11)

Step-by-step explanation:

The points where g(x) and h(x) have the same value is given as follows;

2x - 5 = 8/x + 10

2x² - 15x - 8 = 0

Using an online tool, we have;

(x - 8)(2x + 1) = 0

x = 8 or x = -1/2

∴ g(x) and h(x) = 11 or y = -6

For x = 8, we have;

f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11

For x = -1/2, we have;

f(x) = 2^(-1/2 - 5) + 3 = 3.022

Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.

Answer:

a = 1, b = - 3

Step-by-step explanation:

Expand the factors on the left side, then compare the coefficients of like terms on both sides.

left side

(ax + 4)(2x + b) ← expand using FOIL

= 2ax² + abx +8x + 4b

= 2ax² + x(ab + 8) + 4b

Compare coefficients of like terms with those on right side.

coefficients of x² terms

2a = 2 ( divide both sides by 2 )

a = 1

comparing constant terms

4b = - 12 ( divide both sides by 4 )

b = - 3

men are my favourite type of gender. They satisfy me so much, thank god.

The study described is an observational study, not an experiment. In an observational study, the researcher observes and collects data without actively intervening or manipulating any variables.

In this case, the teacher selected two groups of students based on whether they play a musical instrument or not and compared their grades. The researcher did not assign or control whether the students played an instrument or not. Instead, the selection of students who play an instrument and those who do not was based on their existing characteristics or choices.

In an experimental study, the researcher actively manipulates or controls a factor or treatment to determine its effect on the outcome variable. However, in this study, the teacher did not assign or control whether the students played an instrument. The researcher simply observed the existing groups of students and compared their grades.

Therefore, the study is observational, as it involves observing and collecting data without intervening or controlling any factors.

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Answer:

98,100,A

Plz mark me brainliest.

Step-by-step explanation:

Kristin will pay 21.20 for the jeans after the discount and sales tax are applied.

The first step is to calculate the discount Kristin will receive:

Discount = 20% of 25 = 0.20 x 25 = 5

Now subtract the discount from the original price to find the sale price:

Sale price = 25 - 5 = 20

Next, calculate the amount of sales tax Kristin will have to pay on the sale price:

Sales tax = 6% of 20 = 0.06 x 20 = 1.20

Finally, add the sale price and sales tax to find the total cost:

Total cost = 20 + 1.20 = 21.20

Therefore, Kristin will pay 21.20 for the jeans after the discount and sales tax are applied.

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Hey there! I'm happy to help!

The domain is all of the x-values of a function.

So, we take all of the x-values from our points.

0,-1,2,1

To express the domain, you order the numbers from least to greatest and put it in brackets, so the domain is {-1,0,1,2}.

Have a wonderful day! :D

Answer:{-1,0,1,2}

Step-by-step explanation:

Answer:

, two mathematicians, Andrew Sutherland of MIT and Andrew Booker of Bristol, have jointly proven that 42 is indeed the sum of three cubes. For years, mathematicians have worked to demonstrate that x3+y3+z3 = k, where k is defined as the numbers from

Answer:

Area covered by each girl = 2.5 acre

Step-by-step explanation:

Given:

Number of girls = 2

Total area = 5 acre

Find:

How much area covered by each girl

Computation:

Area covered by each girl = Total area / Number of girls

Area covered by each girl = 5 / 2

Area covered by each girl = 2.5 acre

Angle A′ is the same as angle A since the translation does not change angles.  angle C′ must be 180 - 39.8 - 50.2 = 90 degrees. Therefore, angle C′ is also 39.8 degrees.

When a triangle is reflected about the y-axis, its x-coordinates are negated, but its y-coordinates remain the same. So, if point B had coordinates (x,y), after reflection it would have coordinates (-x,y). Similarly, if point C had coordinates (x,y), after reflection it would have coordinates (-x,y). Then, the triangle is translated 8 units down, which means that the y-coordinate of each point is decreased by 8. So, the new coordinates of point B′ would be (-x, y-8) and the new coordinates of point C′ would be (-x, y-8).

Since we know that angle B is 39.8 degrees, we can use the fact that angles in a triangle sum to 180 degrees to find angle A. Angle A + 90 degrees (from the reflection about the y-axis) + 39.8 degrees = 180 degrees. Solving for angle A, we get that angle A is 50.2 degrees.Finally, we can use the fact that the sum of the angles in triangle A′B′C′ must also be 180 degrees. Angle B′ is the same as angle B since reflecting about the y-axis does not change angles. Angle A′ is the same as angle A since the translation does not change angles.

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Step-by-step explanation:

To solve the equation:

6(sin(x))^2 + 7cos(x) - 3 = 0

We can use the identity:

sin^2(x) + cos^2(x) = 1

Rearranging the equation, we get:

6(1-cos^2(x)) + 7cos(x) - 3 = 0

Expanding and rearranging, we get:

6cos^2(x) + 7cos(x) - 9 = 0

This is now a quadratic equation in terms of cos(x).

Using the quadratic formula, we get:

cos(x) = [-7 ± √(7^2 - 4(6)(-9))]/(2(6))

cos(x) = [-7 ± 13]/12

cos(x) = 1/2 or -3/2

Now we use the inverse cosine function to find x for each solution for cos(x).

When cos(x) = 1/2, we get:

x = π/3 + 2πk or x = 5π/3 + 2πk

When cos(x) = -3/2, we get:

there are no solutions for this case.

Therefore, the general solution to the equation is:

x = π/3 + 2πk or x = 5π/3 + 2πk where k is an integer.

Answer:

-2y^5+4x^4

Step-by-step explanation:

first you have to multiply 2x^4 and -y^5 by 2.

then you have to rewrite the polynomial in descending power order, so the final answer is -2y^5+4x^4

The required solution of the given expression is 4x⁸ - 4x⁴y⁵ + y¹⁰.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

Here,
(2x⁴ - y⁵)²

Following the identity,
(a - b)² = a² - 2ab + b²
(2x⁴ - y⁵)² = (2x⁴)² - 2 (2x⁴)(y⁵) + (y⁵)²
(2x⁴ - y⁵)² = 4x⁸ - 4x⁴y⁵ + y¹⁰

Thus, the required solution of the given expression is 4x⁸ - 4x⁴y⁵ + y¹⁰.

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Water pours into a fish tank at a rate of 0.3 cubic meters per minute, the water level is rising at a rate of 1/60 m/min

Given

Let, h is the height of the water level in the fish tank after t minutes. Then, the volume of the water in the fish tank after t minutes is given by \(V = Area of the base * height V = 6 * h m^3\)The rate at which water pours into the fish tank is 0.3 cubic meters per minute.

Therefore, the rate of change of volume of the water in the fish tank after t minutes is \(dV/dt = 0.3 m^3/min\). As per the chain rule of differentiation,\(dV/dt = dV/dh *dh/dt\) We have\(V = 6h^3m^3 \Rightarrow  dV/dh = 18h^2\Rightarrow  dV/dt = 18h^2 * dh/dt\) Given that,\(dV/dt = 0.3 m^3/min\). Therefore,\(0.3 = 18h^2 * dh/dt \Rightarrow  dh/dt = 0.3/18= 1/60 m/min\) Hence, the water level is rising at a rate of 1/60 m/min.

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Given a segment joining the points A = (1, 10) and B = (20, 18).

To find the point (a, b) that partitions the segment AB into a 2:5 ratio, we use the equations:

That is, the 2:5 ratio also holds for the x and y coordinates. Solving equation (1) for a:

Now, solving equation (2) for b:

So the point is:

The probability that a randomly selected month's number of order is more than 150 is 0.13%

Given, shawn finds that the monthly number of take-out orders at a restaurant is normally distributed with mean 132 and standard deviation 6.

⇒ mean = 132

⇒ standard deviation = 6

Analysis:

Set the monthly number of take out order as x.

From the question, we know:

P(x > 150) = P(x-132/ > 150-132/6)

= P(x=132/6 > 3)

= 1 - P(x-132/6 ≤ 3)

≈ 1 - 0.9987 {standard normal distribution table}

≈ 0.0013

= 0.13%

Hence we get the probability as 0.13%.

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