I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5

Answer:

3.44827586

Step-by-step explanation:

1450:10,000::x:2

=10,000x=2900

x= 10,000

----------

2900

x=3.44827586 km

To maximize the number of units sold, the owner should spend $15,000 on television advertising (x) and $4,000 on newspaper advertising (y).

To find the values of x and y that maximize the number of units sold, we need to find the maximum value of the function N(x, y) = -0.1x² - 0.5y² + 3x + 4y + 400.

To determine the maximum, we can take partial derivatives of N(x, y) with respect to x and y, set them equal to zero, and solve the resulting equations.

First, let's calculate the partial derivatives:

∂N/∂x = -0.2x + 3

∂N/∂y = -y + 4

Setting these derivatives equal to zero, we have:

-0.2x + 3 = 0  

-0.2x = -3    

x = -3 / -0.2  

x = 15

-y + 4 = 0  

y = 4

Therefore, the critical point where both partial derivatives are zero is (x, y) = (15, 4).

To verify that this critical point is a maximum, we can calculate the second partial derivatives:

∂²N/∂x² = -0.2

∂²N/∂y² = -1

The second partial derivative test states that if the second derivative with respect to x (∂²N/∂x²) is negative and the second derivative with respect to y (∂²N/∂y²) is negative at the critical point, then it is a maximum.

In this case, ∂²N/∂x² = -0.2 < 0 and ∂²N/∂y² = -1 < 0, so the critical point (15, 4) is indeed a maximum.

Therefore, to maximize the number of units sold, the owner should spend $15,000 on television advertising (x) and $4,000 on newspaper advertising (y).

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Answer:

is  the last one brof

Step-by-step explanation:

The perimeter of the rectangle is 20 in.

The whole length of a shape's boundary is referred to in geometry as the perimeter of the shape. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimetres, metres, inches, and feet.

Here consider the right triangle and now using Pythagorean theorem to find length of the rectangle then,

=> \(3^2+length^2=(\sqrt{58})^2\)

=> \(length^2=58-9 =49=7^2\)

=> Length = 7 in.

Now using perimeter formula then,

=> Perimeter = 2(l+w) unit

=> Perimeter = 2(7+3)=2(10)=20 in.

Hence the perimeter of the rectangle is 20 in.

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If the angle of elevation from a point 35 meters from the base of tree to the top is 23° , then the height of the tree is  15.4 m .

If the tree is straight then then it makes 90° angle with the ground ,

but the tree is leaning by 4° ,

So , the angle it makes with the ground is 94° ,

the angle of elevation to the top is = 23° ,

the distance between the point and base of the tree is = 35 m .

let height of leaning tree = h meter ,

By using the Sine Law in the figure given below  ,

we get ,

h/sin23° = 35/sin(180 - 23 - 94)°,

h/sin23° = 35/sin63°,

So , h = Sin23° × (35/Sin63°)

h = 15.34847

h ≈  15.4 meter .

Therefore , the height of the tree is 15.4 meter.

The given question is incomplete , the complete question is

Because of prevailing winds, a tree grew so that it was leaning 4° from straight vertical to create an obtuse angle. At a point 35 meters from the base of the tree, the angle of elevation to the top is 23°. Find the height of the tree .

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The given differential equation is xy' = y² + 1, (0, [infinity]).  The solution of the given differential equation is y = tan (ln |x| + C

Here, we need to find out the solution of the given differential equation. It is a first-order ordinary differential equation of variables x and y. Also, it is a separable differential equation. Hence, let's proceed with the steps to solve the differential equation.

Here, the differential equation is,xy' = y² + 1 ............ (1)

Let's write the differential equation (1) in terms of dx and dy as,dy/dx = (y² + 1)/x ................ (2)

Now, to solve this differential equation (2), we need to separate variables, x and y, as follows,dy/(y² + 1) = dx/x ................. (3)

Now, let's integrate both sides of the above equation, we get,∫ dy/(y² + 1) = ∫ dx/x .......... (4)

∴ tan⁻¹ y = ln |x| + C, where C is the constant of integration.

Therefore, the solution of the given differential equation is y = tan (ln |x| + C)

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135 more people if they were all children

Answer: 32: Rational.

Step-by-step explanation:

The square root of 32 is an irrational number as it is non-terminating. It cannot be expressed in the form p/q which is what makes a rational number.

The systems of inequalities given is,

Since he can't sell more than 8 items per day, then from the graph given the best region that should be shaded is region 4.

Step-by-step explanation:

=a³+3a²b+3ab²+b³

hope it is helpful to you

Answer:

\(\huge\boxed{Answer\hookleftarrow}\)

\((a + b) {}^{3} \\ = (a + b) \times (a + b) {}^{2} \\ = (a + b)(a {}^{2}  + 2ab + b {}^{2} ) \\ = a(a {}^{2}  + 2ab + b {}^{2} ) + b(a {}^{2}  + 2ab + b {}^{2} ) \\ = a {}^{3}  + 2a {}^{2} b + ab {}^{2}  + ba {}^{2} + 2ab {}^{2}  + b {}^{3} \\ = a {}^{3}  + 3a {}^{2} b + 3ab {}^{2}  + b {}^{3} \)

✐ (a + b)³ = a³ + 3a²b + 3ab² + b³

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

a. From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Step-by-step explanation:

The slope is -2/3.

-2/3 = 2/-3

slope = rise/run

rise/run = -2/3

Count down 2 and right 3.

rise/run = 2/-3

Count up 2 and left 3

Answer: a. From any point on the graph, he counts down 2 then right 3 to end up on the line again.

Answer:

D

Step-by-step explanation:

Kenny will use 2 3/4 chocolates syrup bottle to produce 44 scoops of ice cream.

Given data

for 1 scoop of ice-cream Kenny uses 1/16 of the chocolate syrup bottle

quantity of chocolates used = 2 3/4

let the scoops of ice-cream be x

this is represented mathematically as

1 = 1/16

x = 2 3/4

we cross multiply to have

x/16 = 2 3 /4

x = 44

Therefore Kenny will use 2 3/4 chocolates syrup bottle to produce 44 scoops of ice cream.

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Answer:

18in of rapping paper

Step-by-step explanation:

a rubics cube has 6 sides so 6x3=18

Answer:

179 + 49+ 139 = 367

Step-by-step explanation:

Answer:

The value of P(3,3) is 6

Step-by-step explanation:

We have to evaluate P(3,3)

As permutation can be calculated by the formula

Hence, the value of P(3,3) is 6

- The function h can be expressed as h(x) = 2(x-1)^2.
- This means that h is equal to two times the square of the difference between x and 1.
- The function h is a continuous function.

Explanation stepwise:
1. We are given that function h is two times the square of the difference of x and 1.
2. The square of the difference of x and 1 can be written as (x-1)^2.
3. Therefore, the function h can be expressed as h(x) = 2(x-1)^2, where h(x) represents the value of the function at x.
4. This equation shows that h is equal to two times the square of the difference between x and 1.
5. Lastly, since h is expressed in terms of a polynomial function, it is continuous. This means that there are no breaks, jumps, or gaps in the graph of the function.

Thus, the correct answers are:
- h(x) = 2(x-1)^2
- h is equal to two times the square of the difference between x and 1
- h is a continuous function.

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population at 1992 = 3590

Population after Seven years (1999) = 4500

Given two points (t1, P1) and (t2, P2), the slope of the line m can be found.

p1 = (1992, 3590) and p2 = (1999, 4500)

m= ΔP/Δt

m= ((4500-3590))/((1999-1992))

m = 910/7

m=130 is the slope

The linear population function P(t) is

P(t)=130t + P0

Find the Y-Intercept P0

The population function P(t) is measured since the year 1990, year zero. The first moose population was measured in 1992, one year later. This provides an initial condition P (1) = 4500.

P (1) =130 (1) + P0 = 4500

P0 = 4370

P(t)=20t+4630

The moose population P(t) changes linearly year after year. The population function P(t) is measured in terms of t years since 1990.

t= 1990, P (0) =4370

t =1992, P (1) =130 (1) + 4370 = 4500 matches data

t=1999, P (2) = 130(2) + 4370 = 4630

t=2006, P (3) = 130(3) + 4370 = 4760

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After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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The formula which represents the volume of pyramid with length s is 1/6s³, Option B is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that a pyramid has a square base with sides of length s.

The height of the pyramid is equal to 1/2 of the length of a side on the base.

We have to find the formula which represents the volume of the pyramid.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a pyramid is equal to one-third of the area of the base times the height.

The volume of the pyramid can be calculated using the following formula:

V = (1/3) × s²× (1/2s)

= 1/6s³.

Hence, the formula which represents the volume of pyramid with length s is 1/6s³, Option B is correct.

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6.1). the rate of depreciation, r, is approximately 10.77%.

6.2.1). Ncominkosi's monthly installment amount was approximately R 10,505.29.

6.2.2).  Ncominkosi borrowed approximately R 377,510.83 from the bank.

6.1) Let's assume the original price of the laptop is P. According to the reducing balance method, the value of the laptop after 4 years can be calculated as P * (1 - r/100)^4. We are given that this value is 31% of the original price, so we can write the equation as P * (1 - r/100)^4 = 0.31P.

Simplifying the equation, we get (1 - r/100)^4 = 0.31. Taking the fourth root on both sides, we have 1 - r/100 = ∛0.31.

Solving for r, we find r/100 = 1 - ∛0.31. Multiplying both sides by 100, we get r = 100 - 100∛0.31.

Therefore, the rate of depreciation, r, is approximately 10.77%.

6.2.1) To determine the monthly installment amount, we can use the formula for calculating the monthly payment on a loan with compound interest. The formula is as follows:

\(P = \frac{r(PV)}{1-(1+r)^{-n}}\)

Where:

P = Monthly payment

PV = Loan principal amount

r = Monthly interest rate

n = Total number of monthly payments

Let's calculate the monthly installment amount for Ncominkosi's loan:

Loan amount = Total amount paid to the bank - Interest

Loan amount = R 596,458.10 - R 0 (No interest is deducted from the total paid amount since it is the total amount paid)

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 9.5% / 12 = 0.0079167 (rounded to 7 decimal places)

Number of monthly payments = 6 years * 12 months/year = 72 months

Using the formula mentioned above:

\(P = \frac{0.0079167(Loan Amount}{1-(1+0.0079167)^{-72}}\)

Substituting the values:

\(P = \frac{0.0079167(596458.10}{1-(1+0.0079167)^{-72}}\)

Calculating the value:

P≈R10,505.29

Therefore, Ncominkosi's monthly installment amount was approximately R 10,505.29.

6.2.2) To determine the amount of money Ncominkosi borrowed from the bank, we can subtract the interest from the total amount he paid to the bank.

Total amount paid to the bank: R 596,458.10

Since the total amount paid includes both the loan principal and the interest, and we need to find the loan principal amount, we can subtract the interest from the total amount.

Since the interest rate is compounded monthly, we can use the compound interest formula to calculate the interest:

\(A=P(1+r/n)(n*t)\)

Where:

A = Total amount paid

P = Loan principal amount

r = Annual interest rate

n = Number of compounding periods per year

t = Number of years

We can rearrange the formula to solve for the loan principal:

\(P=\frac{A}{(1+r/n)(n*t)}\)

Substituting the values:

Loan principal (P) = \(\frac{596458.10}{(1+0.095/12)(12*6)}\)

Calculating the value:

Loan principal (P) ≈ R 377,510.83

Therefore, Ncominkosi borrowed approximately R 377,510.83 from the bank.

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The answer is C. 1/10 of a centimeter.

Answer: A. 0

Step-by-step explanation: To determine the number of solutions for the system of equations x - y = 7 and y = sqrt(3x + 3) - 2, we can substitute y in the first equation with the expression for y in the second equation, giving us x - (sqrt(3x + 3) - 2) = 7. Simplifying this equation, we get sqrt(3x + 3) = -x + 9.

Since the square root of a number is always non-negative, we can conclude that there are no solutions to this system of equations. Therefore, the answer is A. 0.

- Lizzy ˚ʚ♡ɞ˚

Answer:

it is 3150

explanation:

The down payment for Jayce to purchase the tancy bike today would be $7,440.

To find the down payment, we need to calculate the total amount that Jayce will finance for the tancy bike.

The tancy bike is priced at $30,000. Jayce will make monthly payments of $500 for 5 years, which is equivalent to 60 months. The monthly interest rate is 1% or 0.01.

We can use the present value formula to determine the financed amount:

Financed amount = (Monthly payment * (1 - (1 + interest rate)^-number of months)) / interest rate

Substituting the values into the formula:

Financed amount = ($500 * (1 - (1 + 0.01)^-60)) / 0.01

Financed amount = ($500 * (1 - 0.5488)) / 0.01

Financed amount = ($500 * 0.4512) / 0.01

Financed amount = $22,560

The down payment is the difference between the price of the bike and the financed amount:

Down payment = Price of the bike - Financed amount

Down payment = $30,000 - $22,560

Down payment = $7,440

Therefore, the down payment for Jayce to purchase the tancy bike today would be $7,440.

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Answer:

Hence, the distance between (7,8) and (-8,0) is:

17

Step-by-step explanation:    (a,b)=(7,8) and (c,d)=(-8,0)

Hope this helps!!!!!!

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

17 is the crect answer, thank you

Therefore, if the input is angle_elev = 3.8 and shadow_len = 17.5, the estimated height of the tree would be approximately 1.166 meters.

To calculate the height of a tree given the angle of elevation (angle_elev) and the shadow length (shadow_len), you can use trigonometry.

Let's assume that the tree height is represented by the variable "tree_height". Here's how you can calculate it:

Convert the angle of elevation from degrees to radians. Most trigonometric functions expect angles to be in radians.

angle_elev_radians = angle_elev * (pi/180)

Use the tangent function to calculate the tree height.

tree_height = shadow_len * tan(angle_elev_radians)

Now, if the input is angle_elev = 3.8 and shadow_len = 17.5, we can plug these values into the formula:

angle_elev_radians = 3.8 * (pi/180)

tree_height = 17.5 * tan(angle_elev_radians)

Evaluating this expression:

angle_elev_radians ≈ 0.066322511

tree_height ≈ 17.5 * tan(0.066322511)

tree_height ≈ 1.166270222

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Answer:

x = -7

Step-by-step explanation:

f(x) = -3x + 2

= -3(3) + 2

= -9 + 2

= -7

Answer:

x = 90

Step-by-step explanation:

If the line is straight.

Angles on a straight line add up to 180

2x = 180

x = 90