15.00(3 + 5) + 20.00(2 + 6)

Answer:

f(x) = 3x + 9:  y - intercept is option  c. (0,-9)

f(x) = 3x - 9:  y - intercept is option   b. (0, 9)

Step-by-step explanation:

option a and d cant be correct since y = 0 in those answer when the y - intercept is when x = 0

If the function f(x) = 3x + 9

than x = 0

f(x) = 3(0) + 9

f(x) = 0 + 9

f(x) = 9

x = 0 and y = 9 (0, 9)

If the function f(x) = 3x - 9

than x = 0

f(x) = 3(0) - 9

f(x) = 0 - 9

f(x) = -9

x = 0 and y = -9 (0, -9)

Answer:

(1, 8), (2, 4)

So the total amount of Alex's paycheck this week is $50 and the equation that we use is: paycheck = saving account deposit / (percentage deposited into saving account / 100)

To find the total amount of Alex's paycheck this week, you can use the following equation:

paycheck = saving account deposit / (percentage deposited into saving account / 100)

Plugging in the known values, we get:

paycheck = $35 / (70% / 100)

Simplifying the fraction, we get:

paycheck = $35 / 0.7

Solving for the paycheck, we find that the total amount of Alex's paycheck this week is $50.

So the total amount of Alex's paycheck this week is $50.

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Answer:

x=3

Step-by-step explanation:

we can use inverse operations to solve this problem. 5 is being multiplied by x, so we can divide by 5 on both sides to isolate x. 15/5 is 3, so x=3 since the 5s cancel out.

Answer:

x = 3

Step-by-step explanation:

5x = 15

Divide both sides by 5

5x/5 = 15/5

Simplify

x = 3

Answer:

The first one

Step-by-step explanation:

If you are adding 15 less to 3 of n, it would be 3n-15 because 3 of n is 3n. After, you add n as well, so you get 3n-15+n. Your result is 101 so it should be on the other side of the equation.

Length, width, and height are three dimensions used to describe the size of an object.

These dimensions are perpendicular to each other, with length being the longest dimension, width being the second longest, and height being the shortest.

The combination of these three dimensions determines the overall volume or space occupied by an object. Length, width, and height are commonly used to describe the size of objects in the real world, such as buildings, furniture, and packages.

In mathematics, these dimensions are used to describe geometric shapes, such as cubes and rectangles. Understanding the relationship between length, width, and height is important in many fields, including engineering, design, and architecture.

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1. Turn x+3y=6 into slope intercept form:

3y = 6 - x

y = 2 - 1/3x

2. The perpendicular slope is always the negative reciprocal.

-1/3 becomes 3/1

3. Find the intercept

5 = (3/1)1 +b

b = 2

Answer: y = 3x + 2, or y = 3/1x + 2

The domain and range of a function is the set of input and output values, the function can take.

From the question, we have:

\(\mathbf{Rate = \$15}\)

The domain

He cannot mow more than 6 yards a day.

This means that the domain is: 0 to 6

This is properly represented as: [0,6]

The range

When he mows 0 yards, his earnings is:

\(\mathbf{Earnings = 0 \times \$15 = \$ 0}\)

When he mows 6 yards, his earnings is:

\(\mathbf{Earnings = 6 \times \$15 = \$ 90}\)

This means that the range is: 0 to 90

This is properly represented as: [0,90]

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Answer: 5x+3

Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.

The average speed on the winding road was 45 mph.

The bus traveled for 3 hours on the winding road, so the distance covered can be calculated using the formula: Distance = Speed × Time. Let's assume the average speed on the winding road as 'x' mph. Therefore, the distance covered on the winding road is 3x miles.

On the straight road, the bus traveled for 3 hours at an average speed that was 12 mph faster than its average speed on the winding road. So the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. Therefore, we can write the equation:

3x + 3(x + 12) = 210

Simplifying the equation:

3x + 3x + 36 = 210

6x + 36 = 210

6x = 174

x = 29

So the average speed on the winding road was 29 mph.

The problem states that the bus traveled for 3 hours on both the winding road and the straight road. Let's assume the average speed on the winding road as 'x' mph. Since the bus traveled for 3 hours on the winding road, the distance covered can be calculated as 3x miles.

On the straight road, the average speed was 12 mph faster than on the winding road. Therefore, the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.

The total distance covered in the entire trip is given as 210 miles. This allows us to set up the equation 3x + 3(x + 12) = 210 to solve for 'x'. Simplifying the equation leads to 6x + 36 = 210. Solving for 'x', we find that the average speed on the winding road was 29 mph.

In summary, the average speed on the winding road was 29 mph.

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After 8 years, the value of the investment account will be $16345.99 to the nearest cent.

The formula for continuously compounded interest is V = P\(e^{(rt)\), where V is the final value of the investment, P is the initial principal, e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

In this problem, the principal initially invested is $8440, the annual interest rate is 9.2%, or 0.092 as a decimal, and the time period is 8 years. Plugging these values into the formula, we get:

V = 8440 * \(e^{(0.092*8)\) = 8440 * \(e^{0.736\) = 16345.99

Continuous compounding is a powerful tool for increasing the value of an investment over time, as interest is earned not only on the initial principal, but also on any accumulated interest. In this case, the investment nearly doubled in value over 8 years due to the effect of continuous compounding.

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Answer:

B

Step-by-step explanation:

HOPE THIS HELPS

Answer:

100

Step-by-step explanation:

3 months

100=300.......

The speed of the plane is 220 mph.

Let's assume the speed of the car is "x" mph.

Since Mattie Evans drove 210 miles in the same amount of time that it took the plane to travel 660 miles, we can set up the equation:

210 / x = 660 / (x + 150)

To solve for "x," we can cross-multiply:

210(x + 150) = 660x

Distribute and simplify:

210x + 31,500 = 660x

Subtract 210x from both sides:

31,500 = 450x

Divide both sides by 450:

x = 31,500 / 450

x ≈ 70

Therefore, the speed of the car is approximately 70 mph.

To find the speed of the plane, we can substitute this value back into the equation:

Speed of plane = speed of car + 150

Speed of plane = 70 + 150

Speed of plane = 220 mph.

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The number of simple events in this experiment is 16.

The correct answer to the given question is option c.

The probability of an event can be calculated by dividing the number of favorable outcomes by the number of possible outcomes. A simple event is one in which only one of the outcomes can occur. For example, if a coin is tossed, a simple event would be the outcome of the coin being heads or tails.

The total number of possible outcomes in the experiment of tossing 4 unbiased coins simultaneously is 2⁴, since there are two possible outcomes for each coin. Thus, the total number of possible outcomes is 16.

Each coin has two possible outcomes: heads or tails. If all four coins are flipped, there are two possible outcomes for the first coin, two possible outcomes for the second coin, two possible outcomes for the third coin, and two possible outcomes for the fourth coin. Therefore, the total number of possible outcomes is 2 × 2 × 2 × 2 = 16.

Therefore, the number of simple events in this experiment is 16, which is option (c).

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The area of the shape is x²+2x +1 and the perimeter is 4x +7

The area is the region covered by shape or figure whereas perimeter is the distance covered by outer boundary of the shape. The unit of area is given by square unit or unit2 and unit of perimeter is same as the unit.

The area of the shape is :

The shape is sub divided into 4 with different areas x, x , x², and 1

Therefore the area of the shape = x²+x+x+1 = x²+2x+1

The perimeter is obtained by adding all the sides

x+x+x+x+1+1+1+1+1+1+1 = 4x+7

therefore the perimeter of the shape is 4x+ 7

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The present value of $25,000 to be received in 5 years if the discount rate is 4% will be $20,555. The formula for calculating the future value of money (FV) is:

FV = PV x (1 + i)ⁿ where PV = present value, i = interest rate (in decimals) and,n = number of years.So, we need to calculate the future value of the deposit after 4 years, given the present value (PV) as $20,000 and interest rate (i) as 1.4%.

FV = $20,000 x (1 + 1.4%)⁴

FV = $20,000 x 1.014⁴

FV = $22,574.49.

Therefore, the future value of the deposit will be $22,574.49 after 4 years. Rounding it to the nearest whole number, the amount will be $22,574.2.

The formula for calculating the present value of money (PV) is:

PV = FV / (1 + i)ⁿ where FV = future value, i = interest rate (in decimals) and, n = number of years.So, we need to calculate the present value of $25,000 to be received in 5 years, given the interest rate (i) as 4%.

PV = $25,000 / (1 + 4%)⁵

PV = $25,000 / 1.2167

PV = $20,554.66

Therefore, the present value of $25,000 to be received in 5 years if the discount rate is 4% will be $20,554.66. Rounding it to the nearest whole number, the amount will be $20,555.

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There is no solution for the given function \(\rm f(x) = -0.5|2x+2|+1\) when f(x) = 6 option fourth is correct.

It is given that the function  \(\rm f(x) = -0.5|2x+2|+1\)

It is required to find the values of x when f(x) = 6

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

\(\rm f(x) = -0.5|2x+2|+1\)

And f(x) = 6

Putting the value of f(x) in the above equation, we get:

\(\rm 6 = -0.5|2x+2|+1\)   or

\(\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10\)

Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'

Thus, there is no solution for the given function \(\rm f(x) = -0.5|2x+2|+1\) when f(x) = 6.

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Since X is an odd number, x+2 is the following odd number. If x is an even number, the subsequent odd number is x + 1.

The vehicles that will travel on the highways on particular days are decided by the Odd-Even rule, a space rationing system. According to the plan, vehicles with odd and even numbers will travel the roads on alternate days.

In jQuery, the odd() method is used to pick elements with odd index numbers (such as 1, 3, 5, etc.). The index begins at zero. It picks odd numbers, unlike the even() function, which is comparable. From the set of chosen items, the odd() method returns the odd indexed elements.

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The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

The given vectors are:

A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm

In order to calculate the volume of parallelepiped, we will use vector triple product equation:

Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.

Step-by-step solution:

We have, A = [-4, 3, 2] cm

B = [2,1,3] cm

C = [1, 1, 4] cm

Now, let's find BXC, using the cross product of vectors B and C.

BXC = | i    j     k|                    2      1     3                            1      1     4        | i    j     k |  = -i + 5j - 3k

Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.

The volume of the parallelepiped is given by:

Volume = A . (BXC)|

Therefore, we have: Volume = A . (BXC)

\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)

Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.

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n + 7 = 13

solve for n

Is this what your looking for?

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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-------------

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

B is the answer!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given 22 raspberry and 55 strawberry scones, you want to know the number of equal-sized bags Michael can fill with scones, and the number in each bag.

The answer statement you're asked to fill tells you that you solve this problem by finding the GCF of 22 and 55. If you look at the factors, you can see what the largest common factor is:

  22 = 2·11

  55 = 5·11

The greatest common factor of 22 and 55 is 11. When the scones are divided equally among 11 bags, there will be 2 raspberry and 5 strawberry scones in each bag.

The greatest number of bags Michael can fill is 11 bags because the GCF of 22 and 55 is 11 . Each bag can have 2 raspberry and 5 strawberry scones.

Knowing the roots first write the equation in factored form:

(X - 3/4)(x +5) = 0

Now use the FOIL method ( multiply each term in one set of parentheses by each term the other set:

X•x + x•5 -3/4•x -3/4•5

Simplify:

X^2 + 5x -3/4x -3 3/4

Combine like terms:

X^2+ 4 1/4x - 3 3/4

The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π\(r^2\)h = 1000

h = 1000 / π\(r^2\)

The surface area of the cylinder

A = 2π\(r^2\) + 2πrh

A = 2π\(r^2\) + 2πr(1000 / π\(r^2\) )

A = 2π ( \(r^2\) + 1000 / π\(r^2\))

Differentiate the terms

A' =  2π (2r + 1000 / π\(r^3\))

When the minimum surface area

2π (2r + 1000 / π\(r^3\)) = 0

r = \((1000/2\pi )^\frac{1}{3}\)

r = 5.41 cm

Then,

h =  1000 / π\(r^2\)

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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x is equal to 14.

To solve the equation X/111 = (5x - 28)/333 for x, we can cross-multiply to eliminate the denominators.

Multiplying both sides of the equation by 111 and 333, we get:

333 \(\times\) X = 111 \(\times\) (5x - 28)

Simplifying further:

333X = 555x - 3108

Next, we need to isolate the variable x. Let's subtract 555x from both sides of the equation:

333X - 555x = -3108

Combining like terms:

-222x = -3108

To solve for x, we can divide both sides of the equation by -222:

x = (-3108) / (-222)

Simplifying the division:

x = 14

Therefore, x is equal to 14.

Please note that it's important to double-check the calculations to ensure accuracy.

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Answer:

Step-by-step explanation:

your answer wold be 1,484