Algebra problem, please help! Thank you! 4

Answer:

7z + 17

Step-by-step explanation:

Like terms

All the numbers without letters are like terms

All the numbers with letters are like terms

Since we have 2 numbers without letters, we'll combine those.

15 + 2 = 17

Since there's only one number with letters, we can keep it the same since there's no others to combine it with

7z + 17

The integral of k*f(x) equals the integral of f(x) multiplied by k because the total of k*f(x) equals the sum of f(x) multiplied by k.

K*F(x) Integral = K*Fintegral (x). This is inferred from the description of a definite integral as the upper limit of a term sum. The area under the curve can be divided into a number of rectangles and their areas added if we are taking the integral of a function from a to b. The integral then equals the maximum value of this total. The result is identical to the original sum increased by k if we multiply each term of the sum by a constant called k. as a result, the maximum allowed f(x) multiplied by k because the total of k*f(x) equals the sum of f(x) multiplied by k.

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For solving the equation we are using

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

The equation is 2x = 13 - 5

here by subtracting 5 from 13 we get 8

so 2x = 8

or x = 4 (proved)

for solving the equation we are using

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Answer: −1/8

Step-by-step explanation: maybe

Answer:

9y - 19 = 62

Step-by-step explanation:

thats not that answer i dont know what  the answer is

Step 1:

Write the given information

w1 = 20 (cos (140) + i sin (140))

W2 = 4 (cos (35) + i sin (35))

Step 2:

Final answer

Answer:

1.25 miles per hour

Step-by-step explanation:

For this problem, we simply need to understand what a rate is.  A rate is an expression of a relation between two quantities.   In this case, our rate will be miles per hour, since we are given a distance, 10 miles, and a duration, 8 hours.  Let's use this formulate

Rate = Distance / Time

Now let's find Elijah's walking rate by plugging in our values into the formula above.

Rate = Distance / Time

Rate = 10 miles / 8 hours

Rate = 5 miles / 4 hours

Rate = (5 / 4) miles per hour (mph)

So, Elijah's walking rate is 5/4 mph.  Let's convert this fraction into a decimal.  5/4 is equal to 1.25.

Hence, we can say Elijah's walking rate is either 5/4 mph or 1.25 mph.

Cheers.

We are given that:

Darren's car weighs 1.25 tons

To know how much the car weighs in pounds, we will calculate as shown below:

Therefore, Darren's car weighs 2,500 pounds

The concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75

Given the functions that model the concentration of pineapple when 2 gallons of pineapple juice are added to x gallons of another juice as:

f(x)=(2)(1.0)+x(0.5)²+x

If the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice, then;

f(3) = (2)(1.0)+3(0.5)²+3

f(3) = 2.0 + 3.75
f(3) = 5.75

Hence the concentration of pineapple when 2 gallons of pineapple juice are added to 3 gallons of the other juice is 5.75

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Answer:

gdjlicnoirfbmlyrsrloydfbm

Tenemos dos problemas de proporciones.

Las soluciones son:

A) Lamentablemente el primero está incompleto, lo reescribamos como:

"en una caja de 36 naranjas, si 6 se han descompuesto, ¿qué parte del contenido de la caja se desperdicia?"

Solo para mostrar la matemática que se necesita para este tipo de problemas.

La parte que del contenido de la caja que se desperdicia será igual al cociente entre el número de naranjas que se desperdician y el número total de naranjas, o sea:

p = 6/36 = 1/6

Se desperdicia 1/6 del contenido de la caja.

B) Sabemos que la pizza originalmente tiene 8 porciones.

Luego tu papá, hermano, y tía comen una porción (3 en total)

Entonces quedan: 8 - 3  = 5 porciones.

La parte que queda será el cociente entre lo que queda y la cantidad inicial, o sea:

p = 5/8.

Quedan 5/8 de la pizza.

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The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

Option D is the correct answer.

A personal loan is a type of loan that individuals can take out from a bank, credit union, or online lender to cover personal expenses such as home improvements, medical bills, or other unexpected expenses.

We have,

The benefit of obtaining a personal loan can vary depending on the specific terms and conditions of the loan, but typically it allows individuals to borrow a larger amount of money upfront with a fixed interest rate and set repayment schedule, which can be beneficial for large expenses such as home renovations, debt consolidation, or major purchases.

However, the interest rates and repayment terms can vary depending on the borrower's credit score, income, and other factors, so it's important to compare options and choose a loan that meets one's specific needs and budget.

Thus,

The benefit of obtaining a personal loan is getting large amounts of money to use immediately.

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Answer:

810 ÷ 1.5 = 45

Step-by-step explanation:

When you divide the number of miles with the number of hours you will keep getting the answer 45. So, the equation is 810 ÷ 1.5 = 45.

Answer:

I think 164

Step-by-step explanation:

1312/8

Answer:

Step-by-step explanation:

vertical intercept: (0,0)

horizontal intercept: (0,0)

slope: -7/2

equation form: y= -7/2x+0

The length of segment EA, considering the trigonometric ratios in this problem, is given as follows:

146 units.

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

As the tangent of 45º is of 1, on a triangle with an angle of 45º, the two sides have equal measure, hence the length of BA is given as follows:

BA = 64.

Applying the segment addition postulate, the length of AG is given as follows:

AG + 64 = 137

AG = 137 - 64

AG = 73.

73 is adjacent to the angle of 60º, while EA is the hypotenuse, hence the length of EA is given as follows:

cos(60º) = 73/EA

1/2 = 73/EA

EA = 2 x 73

EA = 146 units.

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The value of x is 24 and different angles of hexagon will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.

We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).

Given the figure is hexagon,

the sum of angles of a hexagon is 720,

Upon adding the given angles,

mA = (7x-8)°

mB (4x+46)°

mC = (5x)

mD = (6x+12)°

mE = (x+7)°

mF = (5x-9)°

⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

⇒ 28x + 48 = 720

⇒ 28x = 672

⇒ x = 24

Therefore, the angles will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

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Answer:r

Step-by-step explanation:r

Answer:no it doesn’t

Step-by-step explanation:

We have that Jackson took 4.12 seconds to run 40 yards, in other words, we have that Jackson moved at a speed of 9.71 yards a seconds, that is given by:

Now that we calculate the speed, we need to make a change of units and determine it using miles per hour.

We have that a mile is equivalent at 1760 yards, and an hour is equivalent at 3600 seconds, so we multiply the equivalencies with the speed we calculated before:

Now, we cancel the repeated units and operate:

Yards wil cancel each other out, same as seconds, and we will have:

From this, we have that Jackson moved at a speed of 19.86 miles per hour.

Answer:

Step-by-step explanation:

Remark

To convert watts to amps, divide the watts by the amps

Givens

720 watts

8 amps (maximum safety of extension chord)

144 conversion factor

Solution

Amps = 720 watts / 144

Amps = 5

Answer

The iron uses 5 amps of current.

The extension chord is safe to use since 5 is less than 8

Answer:

720÷144=5 AMPS

Step-by-step explanation:

5ANSWER

The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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The half-life of the given exponential function is of 346.57 years.

It is the value of t when A(t) = 0.5A(0).

In this problem, the equation is:

\(A(t) = A(0)e^{-0.002t}\).

In which t is measured in years.

Hence the half-life is found as follows:

\(0.5A(0) = A(0)e^{-0.002t}\)

\(e^{-0.002t} = 0.5\)

\(\ln{e^{-0.002t}} = \ln{0.5}\)

\(0.002t = -\ln{0.5}\)

\(t = -\frac{\ln{0.5}}{0.002}\)

t = 346.57 years.

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1. Required profit function is P(x)= -0.5x² + 60x + 6850

2. The domain of P(x) is 20 - 4√205 ≤ x ≤ 170.

3. P(70) = 2650 and P(80) = 2600.

The company should choose to produce 70 items as it results in a higher profit.

4. The leads to a decrease in profit, which is why the company makes less profit when producing 10 more units.

What is profit function?

A profit function is a mathematical formula that describes the relationship between the level of production or sales and the resulting profit of a business. The profit function takes into account the costs of production, including fixed costs and variable costs, and the revenue generated by the sale of goods or services.

1. The profit function P(x) is given by subtracting the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x)

= [−0.5(x−120)²+7,200] - [50x+250]

= -0.5x² + 60x + 6850

2. The domain of P(x) is the set of all possible values of x for which the profit function P(x) makes sense. Since P(x) involves subtracting the cost function from the revenue function, it only makes sense to calculate P(x) when the revenue generated from selling x items is greater than or equal to the cost of producing x items. Therefore, the domain of P(x) is the set of all x such that R(x) ≥ C(x),

R(x) ≥ C(x)

-0.5(x−120)²+7,200 ≥ 50x+250

-0.5x²+60x+6850 ≥ 50x+250

-0.5x²+10x+6600 ≥ 0

Solving for x, we get:

x ≤ 20 - 4√205 or x ≥ 20 + 4√205

Since the maximum capacity of the company is 170 items, the domain of P(x) is the intersection of the above solution and the maximum capacity, i.e. x ≤ 170. Therefore, the domain of P(x) is 20 - 4√205 ≤ x ≤ 170.

3. To find the profit when producing 70 items, substitute x = 70 into the profit function P(70) = -0.5(70)² + 60(70) + 6850

= 2650

To find the profit when producing 80 items, substitute x = 80 into the profit function P(80) = -0.5(80)² + 60(80) + 6850

= 2600

Therefore, the company should choose to produce 70 items as it results in a higher profit.

4. The profit function P(x) is a quadratic function with a negative leading coefficient (-0.5), which means that it opens downwards. This implies that the profit function reaches its maximum value at the vertex of the parabola, which occurs at x = -b/2a, where a = -0.5 and b = 60. Therefore, the vertex occurs at x = -60/-1 = 60. This means that the maximum profit occurs at x = 60.

When the company produces 10 more units (i.e. x increases by 10), it moves away from the optimal production level of 60 and closer to the maximum capacity of 170. As a result, the cost of production increases while the revenue generated from selling those extra units decreases due to diminishing returns. This leads to a decrease in profit, which is why the company makes less profit when producing 10 more units.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

$38666.67

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

putting time into years for simplicity,

9 months ÷ 12 months/year = 0.75 years,

then, solving our equation

P = 870 / ( 0.03 × 0.75 ) = 38666.666666667

P = $ 38,666.67

The principal required to

accumulate interest of $ 870.00

on a rate of 3% per year for 0.75 years (9 months) is $ 38,666.67.