Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.

How many months will it take for her to reach her goal of $1,350?

18 months
16 months
12 months
14 months

Answer:

2466181 is the answer

After the EEOC completes its investigation in an employment discrimination case, the outcomes can include resolution attempts, lawsuits, or issuing a Notice of Right to Sue to the complainant.

After the Equal Employment Opportunity Commission (EEOC) completes its investigation in an employment discrimination case, several outcomes are possible:

The EEOC may find reasonable cause to believe that discrimination has occurred. In this case, they may attempt to resolve the matter through informal methods such as mediation or settlement negotiations. If these efforts fail, the EEOC may file a lawsuit against the employer on behalf of the aggrieved individual(s).

If the EEOC does not find reasonable cause, they will issue a Notice of Right to Sue to the individual who filed the complaint. This allows the individual to pursue a lawsuit against the employer independently.

In some cases, the EEOC may determine that further investigation is needed, and they may request additional information or evidence from both the complainant and the employer.

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Answer:

C. 5.44

Step-by-step explanation:

Answer 18

Step-by-step explanation:

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the polynomial:

f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35

The polynomial can be further simplified to:

f(x) = (2x - 7)(3x³ - 2x + 5)

A factor of the polynomial f(x) = 6x⁴ - 21x³ - 4x² + 24x - 35 is 2x - 7

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Answer:

2x-7

Step-by-step explanation:

TLDR verified answer, correct on edge 2023

The ice ball will take about 26 minutes to melt completely.we get approximately 26.18 minutes.

To calculate the time it takes for the spherical ice ball to melt, we need to determine its volume and divide it by the melting rate.

The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V represents the volume and r represents the radius of the sphere. In this case, we are given the diameter of the ice ball, which is 5 centimeters. The radius (r) is half the diameter, so r = 5/2 = 2.5 centimeters.

Substituting the radius into the volume formula, we get V = (4/3)π(2.5)^3.

Calculating this, we find that the volume of the ice ball is approximately 65.45 cubic centimeters.

Next, we divide the volume by the melting rate of 2.5 cubic centimeters per minute to find the time it takes to melt:

Time = Volume / Melting rate = 65.45 / 2.5.

Calculating this, we get approximately 26.18 minutes.

Rounding to the nearest minute, the ice ball will take about 26 minutes to melt completely.

It's important to note that this calculation assumes a constant melting rate throughout the melting process. In reality, the melting rate may vary due to factors such as temperature fluctuations. Additionally, this calculation does not take into account factors like the insulating properties of ice or external factors that may affect the melting rate.

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Hence, the greatest possible difference between AC and AB is -2 units.

Let's denote the lengths of the three sides of the triangle as AB, BC, and AC.

Given that AC is the longest side and AB is the shortest side, we can express the perimeter of the triangle as:

Perimeter = AB + BC + AC = 384 units

To find the greatest possible difference between AC and AB, we want to maximize the value of (AC - AB). Since AC is the longest side and AB is the shortest side, maximizing their difference is equivalent to maximizing the value of AC.

To find the maximum value of AC, we need to consider the remaining side, BC. Since the perimeter is fixed at 384 units, the sum of the lengths of the two shorter sides (AB and BC) must be greater than the length of the longest side (AC) for a valid triangle.

Let's assume that AB = x and BC = y, where x is the shortest side and y is the remaining side.

We have the following conditions:

AB + BC + AC = 384 (perimeter equation)

AC > AB + BC (triangle inequality)

Substituting the values:

x + y + AC = 384

AC > x + y

From these conditions, we can infer that AC must be less than half of the perimeter (384/2 = 192 units). If AC were equal to or greater than 192 units, the sum of AB and BC would be less than AC, violating the triangle inequality.

Therefore, to maximize AC, we can set AC = 191 units, which is less than half the perimeter. In this case, AB + BC = 384 - AC = 193 units.

The greatest possible difference between AC and AB is (AC - AB) = (191 - 193) = -2 units.

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Answer:

B

Step-by-step explanation:

2q+437= 931

subtract 437

2q= 494

divide by 2

q= 247

Answer: (x^b)^a

Step-by-step explanation:

the inverse of a monomial with an exponent raised to another power will give the same product if you flip the exponents.

Here we have a general rule for exponents.

We will find that:

\((x^a)^b = x^{a*b}\)

To get this, we can first check it with some values for the exponents.

a = 2

b = 3

\((x^2)^3 = (x^2)*(x^2)*(x^2) = (x*x)*(x*x)*(x*x) = x^6 = x^{2*3}\)

Similarly, we can prove it for two general values of a and b:

\((x^a)^b = (x^a)*(x^a)*...*(x^a)\\b\ times\)

Now each one of these parentheses has a multiplying by itself a times.

So when we write all the x's, we will see that there are a total of b*a x's

Thus we will have:

\((x^a)^b = (x^a)*(x^a)*...*(x^a) = x^{a*b}\)

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The multiplication expression that can be used to find 3/8 ÷ 3/4 is 3/8 * 4/3, and the simplified result is 1/2.

To find the division of fractions, we can multiply the first fraction by the reciprocal of the second fraction.

In this case, we want to find 3/8 ÷ 3/4.

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

So, the reciprocal of 3/4 is 4/3.

To find the division, we multiply the first fraction by the reciprocal of the second fraction:

3/8 ÷ 3/4 = 3/8 \(\times\) 4/3

Now, let's simplify this multiplication expression.

We can cancel out any common factors between the numerators and denominators:

3/8 \(\times\) 4/3 = (3 \(\times\) 4) / (8 \(\times\) 3) = 12/24

Further simplification can be done by dividing both the numerator and denominator by their greatest common divisor, which in this case is 12:

12/24 = (12 ÷ 12) / (24 ÷ 12) = 1/2

Therefore, the multiplication expression that can be used to find 3/8 ÷ 3/4 is 3/8 \(\times\) 4/3, and the simplified result is 1/2.

In conclusion, to divide 3/8 by 3/4, we can use the multiplication expression 3/8 \(\times\) 4/3, which simplifies to 1/2.

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Answer:

Your answer will be 1.35

These expression is not true .

What is a mathematical expression?

A mathematical expression is a sentence that consists of at least two numbers or variables, the expression itself, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations could be used: addition, subtraction, multiplication, or division.

                                  For instance, the expression x + y is an expression with the addition operator placed between the terms x and y. Mathematicians utilize two different sorts of expressions: algebraic and numeric. Numeric expressions only contain numbers; algebraic expressions additionally incorporate variables.

-0.5(3x + 5) and -1.5x + 2.5 equivalent.

  by distributing the 0.5  = -1.5x + 2.5

                                       = -1.5x + 2.5

                       = 0.5(3*2 + 5 )

                     = - 1.5 * 2 + 2.5

                     = - 3 - 2.5  = -3 + 2.5

                         - 5. 5  = 0.5

this is not true. these expression is not true .

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Answer:

Length of one of the shorter congruent side is: 6 cm

Step-by-step explanation:

In order to find the length of congruent sides we have to solve the system of equations

Given systems of equation is:

y = x + 2

2x + 3y = 36

Putting y = x+2 in second equation

\(2x + 3(x+2) = 36\\2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x =6\)

As we know that x represents the shorter side, the length of short side is: 6 cm

Hence,

Length of one of the shorter congruent side is: 6 cm

The area of the rectangle is increasing at a rate of 27,900,000 meters³ per year when the width of the region is 450 meters.

The inner-city revitalization region is a rectangle that is twice as long as it is wide. At a time when the area is 450 meters wide, the width of the region is increasing at a rate of 31 meters per year. The aim is to find out how quickly the area is changing at this point in time. The area of the rectangle is given by the formula,

Area = length × width

Given that the width of the rectangle is increasing at a rate of 31 meters per year. Let's say the width of the rectangle is w meters, and the rate of change in width is dw/dt meters per year. Then, we can say, dw/dt = 31 meters per year

Width of the rectangle is w meters

Length of the rectangle is twice the width, or 2w meters

Area of the rectangle is given by the formula, A = lw= 2w × w= 2w²

Now, we need to find dA/dt, the rate at which the area of the rectangle is changing with respect to time (t).We can find it using the formula,

dA/dt = dA/dw × dw/dt

dA/dw = 4w (differentiate 2w² with respect to w)

dw/dt = 31 meters per yeard

A/dt = dA/dw × dw/dt= 4w × 31= 124w meters² per year

From the given information, the width of the rectangle is 450 meters wide. So, the width is w = 450 meters.

dA/dt = 124w meters² per year

= 124 × 450 meters² per year

= 27,900,000 meters³ per year

Which is the increasing rate of the rectangle.

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(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:

\((a)\ h(g) = -4 + g\)

g is the input

\((b)\ f(h) =h -7\)

h is the input

\((c)\ g(f) = 2f\)

f is the input

Step-by-step explanation:

Given

See attachment for functions and inputs

Required

Match the function with their inputs

The variables on the left-hand side or the variables inside the function bracket are the inputs of the function. e.g. x is the input of f(x)

Using the above description, we have:

\((a)\ h(g) = -4 + g\)

g is the input

\((b)\ f(h) =h -7\)

h is the input

\((c)\ g(f) = 2f\)

f is the input

The fractional equivalent of the repeating decimal 0.2 is 2/9

From the question, we have the following parameters that can be used in our computation:

Repeating decimal = 0.2

Represent properly

So, we have

Repeating decimal = 0.2222

Express as fraction

So, we have

Fraction = 2/(10 - n)

In this case

n = 1

So, we have

Fraction = 2/(10 - 1)

Evaluate

Fraction = 2/9

Hence, the fractional equivalent is 2/9

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Answer:

15

Step-by-step explanation:

15 is your answer

Answer:

Your answer is 15

hope this helps

a. The equation representing the water level L(x) (in ft), x days after January 1 is L(x) = 2.5 - 0.015x.

b. The inverse function for \(L^{-1}\) (x) is x = (2.5 - L)/0.015.

a. The function representing the water level L(x) (in ft), x days after January 1 can be written as:

L(x) = 2.5 - 0.015x

where x is the number of days after January 1.

b. To write an equation for \(L^{-1}\)(x), we need to find an expression for x in terms of L.

L(x) = 2.5 - 0.015x

0.015x = 2.5 - L

x = (2.5 - L)/0.015

Therefore, the equation for \(L^{-1}\)(x) is:

\(L^{-1}\)(x) = (2.5 - x)/0.015

This equation gives the number of days (x) required for the water level to reach a certain level (L).

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The question is -

Beginning on January 1, park rangers in Everglades National Park began recording the water level for one particularly dry area of the park. The water level was initially 2.5 ft and decreased by approximately 0.015 ft/day.

a. Write a function representing the water level L(x) (in ft), x days after January 1.

b. Write an equation for L^{-1} (x).

The area of the trapezoid is 24cm².

It should be noted that the area of a trapezoid is calculated as:

Area = h × (a + b//2

where h = height

Area = 4 × (4 + 8)/2

Area = 4 × 12/2

Area = 4 × 6

Area = 24cm²

The area is 24cm²

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The demand equation is given to be:

where p is the price and x is the number of units sold.

If the price per unit is $14.75, the number of units will be calculated as follows:

Subtracting 32 from both sides, we have:

Multiply both sides by -1:

Square both sides:

Subtract 1 from both sides:

Divide both sides by 0.0001:

The number of units sold will be 2,965,625 units.

Answer:

B!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is:

If x = 3 (y + w) -1 what is the value of w in terms of x and y?

We have an expression:

x = 3 (y + w) -1

To find the value of w in terms of x and y.

By using the distributive property:

x = 3y + 3w - 1

By arranging the equation:

3w = x - 3y + 1

Divide by 3 on both the side:

w = (x - 3y + 1)/3

Thus, the equation x = 3y + 3w - 1 can be written as in terms of x and y by making the subject w is w = (x - 3y + 1)/3 option (B) is correct.

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Answer:

a

Step-by-step explanation:

The longest path that Amy can walk in Matrix Metro is equal to min(m,n)*2-1.

To see why, imagine that Amy starts at any building in the city. Without loss of generality, let's assume she starts at the bottom left corner of the city.

From this point, she has two options: continue walking to the right or turn up. If she continues walking to the right, she will eventually reach the rightmost column of the city and will have to turn up.

Since Amy cannot visit the same building twice, she can visit at most min(m,n) buildings in each row or column. If she visits all min(m,n) buildings in each row or column, she will visit a total of 2*min(m,n) - 1 buildings.

Therefore, the length of the longest path that Amy can walk in Matrix Metro is min(m,n)*2-1, and this is the maximum because Amy cannot visit any more buildings without visiting the same building twice.

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Answer:

314.2in^2

Step-by-step explanation:

GIven data

diameter= 10in

radius= 5in

Height= 2in

The expression for the curved surface area (CSA) of a cylinder is given as

CSA=2πrh

CSA=2*3.142*5*2

CSA=62.84 in^2

The material needed to make one pipe is 62.84in^2

Hence the material need for 5 pipes is

=62.84*5

=314.2in^2

The slope of the line is 1.

Here we have two points on graph;

\((x_{1} ,y_{1} ) = ( 4,1)\) and \((x_{2} ,y_{2} ) = (-1, -4)\)

What is Slop in graph?

The slope is defined as the ratio of the vertical changes between two points , the rise, to the horizontal change between the same points, to run.

To find the slope of line, we need to know the slope formula.

The slope formula is:

\(m=\frac{{y_{2}-y_{1} } }{x_{2} -x_{1} }\)

where, m is slope and \((x_{1} ,y_{1} ) = ( 4,1)\)   and    \((x_{2} ,y_{2} ) = (-1, -4)\) are two points on graph.

So the slope of the line is;

\(m=\frac{-4-1}{-1-4} \\m= 1\)

Hence the slope of the line is 1.

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Answer:

so i will be honest I've done this before and it may be 64 or 120

Step-by-step explanation:

It may be one of these answers I'm doing as much as I can to help

So, if we apply the power's rule, we notice that if the base is the same, the exponents can be substracted. Like this

So the answer is 1 / x to the 9th power