Please help :') ty ty ty ty ty

Answer:

d

Step-by-step explanation:

The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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The solution to the system of linear inequalities (x, y) are (-1, 2)

A system of linear inequalities is just like a system of linear equations, except it is composed of inequalities instead of equations. Systems of linear inequalities are used to model scenarios with multiple constraints.

In the given problem, we can find the value of x and y as;

x + y > 1 ...eq(i)

-x + y ≤ 3 ...eq(ii)

Solving both inequalities;

The solution is;

1 - x < y ≤ 3 + x

We can easily plot this on a graph and the point of intersection will be our solution;

From the graph attached below, the solution to this inequality (x , y) are (-1, 2)

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To calculate the p-value, we have to follow the following steps:

To calculate the p-value, we need

p = sample proportion

p' = assumed population proportion in the null hypothesis

n = sample size

Example

Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.

σₓ = σ/ √n

σₓ = 32.17 / √40

    = 5.0865

Now, by applying the test static formula, we get

t = (105.37 – 120) / 5.0865

t = -2.8762

Using the table, we find the value of P(t>-2.8762)

From the table, we get

P (t<-2.8762) = P(t>2.8762) = 0.003

If P(t>-2.8762) = 1- 0.003 = 0.997

P- value = 0.997 > 0.05

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The population increased by a percentage of 5%.

The population of Sanibel, Florida in 2016 can be determined using the given population model P = 6191 * 1.05^t, where t represents the number of years since 2016. To find the population in 2016, we set t to 0 since there are 0 years since 2016.

Step 1: Set t to 0 in the equation:
P = 6191 * 1.05^0

Step 2: Calculate the population P:
P = 6191 * 1
P = 6191

So, the population in Sanibel, Florida in 2016 was 6,191.

Regarding the percent population increase each year, the given model uses an exponential growth formula with a constant factor of 1.05. The factor (1.05) represents a 5% increase in the population each year.

In summary, the population in Sanibel, Florida in 2016 was 6,191, and the population increases by 5% each year. This exponential growth model demonstrates how the population continues to grow at a steady rate, contributing to the overall population increase in the area.

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Answer:

40 paintings and 60 bracelets

Step-by-step explanation:

40 x 10$ = 400

60 x 4$ = 240

400 + 240 = 640

The only option that satisfies both constraints is Option 4: 40 paintings and 60 bracelets, which generates a total revenue of $640.

Two or more expressions with an Equal sign is called as Equation.

Let's calculate the total revenue for each option and see which one satisfies the given constraints.

Option 1: 20 paintings and 60 bracelets

Total revenue = (20 x $10) + (60 x $4) = $200 + $240 = $440

Option 2: 25 paintings and 80 bracelets

Total revenue = (25 x $10) + (80 x $4) = $250 + $320 = $570

Option 3: 30 paintings and 70 bracelets

Total revenue = (30 x $10) + (70 x $4) = $300 + $280 = $580

Option 4: 40 paintings and 60 bracelets

Total revenue = (40 x $10) + (60 x $4) = $400 + $240 = $640

Therefore, the only option that satisfies both constraints is Option 4: 40 paintings and 60 bracelets, which generates a total revenue of $640.

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The type of armored cable listed under UL 4 with permitted conductor sizes of 14 AWG through 1 AWG only is Type AC Cable.

Type AC Cable is also known as armored cable or BX cable, and it is a type of electrical wiring that consists of two or more insulated conductors that are wrapped in a flexible metal sheath. The metal sheath provides protection against physical damage and also serves as a grounding conductor.

UL 4 is a standard for Armored Cable and it covers various types of armored cables, including Type AC cable. UL 4 specifies the construction, performance, and testing requirements for armored cables. It also includes requirements for the thickness and composition of the metal sheath, as well as the thickness and type of insulation on the conductors.

In summary, Type AC Cable is the type of armored cable that is listed under UL 4 and has permitted conductor sizes of 14 AWG through 1 AWG only.

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The radius of the circle is 29 cm.  Let's denote the radius of the circle we want to find as r (in cm).

The area of a circle is given by the formula A = πr², where A is the area and r is the radius.

The area of the first circle with a radius of 21 cm is A1 = π(21)² = 441π cm².

The area of the second circle with a radius of 20 cm is A2 = π(20)² = 400π cm².

According to the problem, the area of the circle we want to find is equal to the sum of the areas of these two circles:

A = A1 + A2

A = 441π + 400π

A = 841π cm²

Now, we can set up an equation using the formula for the area of a circle:

πr² = 841π

Dividing both sides of the equation by π:

r² = 841

Taking the square root of both sides:

r = √841

Simplifying:

r = 29 cm

Therefore, the radius of the circle is 29 cm.

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Answer:

18.81

Step-by-step explanation:

we can find the perimeter by using distance formula

Answer:

700

Step-by-step explanation:

37x10 is 370

33x10 is 330

330 add 370 is 700

Answer:

They sold 700 oranges

Step-by-step explanation:

the question is why didn't you just multiply it mate it wasn't brainy worthy tbh, not judging but just multiply each number by ten and then add them up

The equation is solved and the distributive property is used

Given data ,

a)

If you use the distributive property to solve the equation first, either addition or subtraction will need to be done last, depending on the equation. This is so that you may isolate the variable on one side of the equation or combine like terms after applying the distributive principle, which usually requires addition or subtraction as the last step.

b)

Instead, if you divide first to answer the problem, you would need to apply multiplication as the last operation. This is because, in order to "undo" the division operation and find the variable, you would need to multiply by the reciprocal of the value by which you had divided to isolate the variable. As the inverse operation of division, multiplication would be utilized as the last step in the equation's solution.

Hence , the equations are solved

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a) The maximum number of rodents:

In the function r(t) = 2500 + 1500 sin π/4 t, the general form of the function is y = A sin (Bx - C) + D.

In the given function A = 1500,

B = π/4

C = 0, and

D = 2500

The maximum value of y (rodent population) is A + D.

This occurs at sin (Bx - C) = 1.

The maximum number of rodents occurs when sin π/4 t = 1 and it happens in the first cycle.

Since sin π/4 = 1/√2,

we have2500 + 1500/√2 = 3450.5 rodents in the first cycle. It happens in the year 1976 + T, where T is the period of the function.

We can calculate T from B:

B = 2π/T, so T = 8 years.

Therefore, the maximum number of rodents occurs in the year 1984.b) The minimum number of rodents:In the function

r(t) = 2500 + 1500 sin π/4 t,

the general form of the function is y = A sin (Bx - C) + D.

b) The minimum value of y (rodent population) is A + D. This occurs at sin (Bx - C) = -1.

The minimum number of rodents occurs when sin π/4 t = -1 and it happens in the first cycle.

Since sin π/4 = 1/√2, we have2500 - 1500/√2 = 1549.5 rodents in the first cycle.

It happens in the year 1976 + T, where T is the period of the function.

We can calculate T from B: B = 2π/T, so T = 8 years. Therefore, the minimum number of rodents occurs in the year 1984.

c) The period of this function:In the function r(t) = 2500 + 1500 sin π/4 t, the coefficient of t is π/4.

Therefore, the period of the function is

T = 2π/B

= 2π/(π/4)

= 8 years.

d) The number of rodents in the year 2012:

We need to find r(t) for t = 2012 - 1976

= 36.

\(r(t) = 2500 + 1500 \sin \left(\frac{\pi}{4} t\right)\)

= 2500 + 1500 sin (π/4 × 36)

≈ 2500 - 1500/√2

≈ 1549.5.

Therefore, the function predicts that there were about 1549.5 rodents in the year 2012.

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Answer:

there are 54 buffalos in 150 acres

Step-by-step explanation:

1. determine the rate of buffalos per acres

45 buffalos per 125 acres =

45 / 125 =

0.36 buffalos per 1 acre

now we know the rate of buffalos per 1 acre, we can multiply it by the required amount of acres (in this case 150)

buffalos per 1 acre x total acres = total buffalos per total acres

0.36 x 150 = 54 buffalos

therefore, there are 54 buffalos per 150 acres.

hope this helps :)

Answer:

-1

Step-by-step explanation:

The equation of a line is y = 5x - 6

What is Equation of line ?

A straight line's general equation is y = mx + b, where m denotes the gradient or slope and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.

The given points are (2, 4) and (-4, 6)

The equation of line is given ,

y = mx + b

where, m = slope

b = y - intercept

To find slope , we have formula

slope (m) = (y2 - y1) / (x2 - x1)

let, (x1, x2) = (2, 4) and

(y2, y1) = (-4, 6)

Now, put the values in slope formula,

m = ( 6 - (-4) ) / ( 4 - 2)

m = (6 + 4) / 2

m = 10 / 2

m = 5

We get slope, now find y-intercept i,e, 'b'

y = 5x + b

so take any point to find 'b'

Let's take the point (2, 4) which is (x, y) so now put the (x, y) and find 'b'.

4 = 5 * 2 + b

4 = 10 + b

b = 4 - 10

b = -6

so, now put the values of slope and y-intercept in equation of line i.e,        y = mx + b

y = 5x - 6

Hence, the equation of a line is y = 5x - 6

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The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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Answer:

x would be 10

Step-by-step explanation:

angles across from each other are always equal so x would be 10 because 3 times 10 is 30 and then add the other 10 to get 40

Answer:

x = 10

Step-by-step explanation:

Since these angles are vertical angles, we know that 40 = 3x + 10. Subtract 10 from both sides to get 30 = 3x. Divide both sides by 3 to get x = 10.

The value of k is 14/4  so the line will pass through (-5,3) and (k,5) is parallel to 3y-2x=4 and also perpendicular to 2y+5x=9.

The problem is to determine K and given that the line passes through (-5,3) and (K,5) and also it is parallel to the line 3y - 2x = 4.

This means that the slope of the line is the same as 3y - 2x = 4.

3y - 2x = 4

3y = 2x + 4

Y = (2/3)x + 4/3 Multiply both sides by 3.

As a result, the slope of the line passing through the above two points is 4/3.

Now, plug in the slope and calculate K using the two points (-5,3) and (K,5).

m = slope

4/3 = (5 - 3)/(K - (-5))

4(K + 5) = 3(5 - 3)

4k + 20  = 3x2

4K + 20 = 6

4K = 6 - 20 Add ten to each side.

4K = 14

K = 14/4

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The Populations of the two types of bacteria will not be the same.

To compare the population growth rates of two different types of bacteria represented by the equations P = 2^x + 19 and Q = 3^x + 18, we need to find out at what point the populations of both types of bacteria will be equal.

We can set P = Q and solve for x as follows:

2^x + 19 = 3^x + 18

2^x - 3^x = -1

Now, we can use trial and error or logarithms to solve for x. By using trial and error, we can substitute values of x until we get a value that satisfies the equation. If we use x = 3, we get:

2^3 + 19 = 3^3 + 18

27 = 27

The equation is satisfied, so x = 3 is the solution. Therefore, at the end of 3 hours, the populations of bacterial types A and B will be equal.

Option A is correct.

Option B is not correct because at the end of 21 hours, the populations of the two types of bacteria will not be equal as the growth rates are different.

Option C is not correct because at the end of 18 hours, the population of bacterial type B will be greater than that of type A as the growth rate of type B is higher.

Option D is not correct because the equations have different initial values, which means that even at the start, the populations of the two types of bacteria will not be the same.

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Answer:

Mean 

4

Median 

5

Mode

1, 6

Range

6

Step-by-step explanation:

Salute.

The function (g+h)(n-4) is the sum of the function g(n-4) and h(n-4) will be written as (g+h)(n-4) = n² - 7n + 9.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

g(n) = n² + 4n

h(n) = - 3n - 3

The function (g+h)(n) is calculated as,

(g+h)(n) = g(n) + h(n)

(g+h)(n) = n² + 4n - 3n - 3

(g+h)(n) = n² + n - 3

Put n = n - 4, then we have

(g+h)(n-4) = (n - 4)² + (n - 4) - 3

(g+h)(n-4) = n² + 16 - 8n + n - 4 - 3

(g+h)(n-4) = n² - 7n + 9

The function (g+h)(n-4) will be (g+h)(n-4) = n² - 7n + 9.

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Answer:

6 and 7

Step-by-step explanation:

The square root of 41 is about 6.403

6 and 7 are the closest whole numbers

a. The mean is 11.00 (correct)

b. The mean is 14.70 (incorrect)

c. The median (the 50th percentile) is 7.00 (correct)

d. The median (the 50th percentile) is 10.75 (incorrect)

5, 6, 7, 15, 22

The mean is calculated by adding up all the numbers and dividing by the total count:

Mean = (5 + 6 + 7 + 15 + 22) / 5 = 11

So option a. The mean is 11.00 is correct.

The median (the 50th percentile) is the middle number when the dataset is arranged in ascending order. Since we have an odd number of values, the median is the middle value itself.

So option d. The median (the 50th percentile) is 10.75 is incorrect.

The median of the dataset is 7 since it is the middle number when the dataset is arranged in ascending order.

So option c. The median (the 50th percentile) is 7.00 is correct.

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Answer:

\(x=8\)

Step-by-step explanation:

First, I wanna point out a minor mistake, are we supposed to figure out x?

If we are, let's start.

\(-12x+16-4x=-112.\)

We don't need the \(16.\)

We subtract the 16 from both sides.

SImplify, =\(16x=128\)

Also, group like terms, and add similar elements.

Answer:

x = 8

Step-by-step explanation:

-12x + 16 - 4x = -112

Combine like terms on the left side.

-16x + 16 = -112

Subtract 16 from both sides.

-16x = -128

Divide both sides by 16.

x = 8

Check:

-12x + 16 - 4x =

= -12(8) + 16 - 4(8)

= -96 + 16 - 32

= -80 - 32

= -112

-112 = -112

x = 8 is correct.

Answer: x = 8

Answer:

I'm not entirely sure but I think you have to start by negative -1 and move back 4 spaces?

Step-by-step explanation:

the Red arrows is pointing towards the negative side of the number line

Answer:

x=-9

Step-by-step explanation:

-2x+5=23

-5 on both sides

-2x=18

/-2 on both sides

x=-9

a. Bisection Method: To use the bisection method to find the real roots of the equation f(x) = x³ + x² - 10x + 8, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs.

Let's make a preliminary estimate and choose the interval [1, 2] based on observing the sign changes in the equation.

Iteration 1: a = 1, b = 2

c = (a + b) / 2

= (1 + 2) / 2 is 1.5

f(c) = (1.5)³ + (1.5)² - 10(1.5) + 8 ≈ -1.375

ince f(c) has a negative value, the root lies in the interval [1.5, 2].

Iteration 2:

a = 1.5, b = 2

c = (a + b) / 2

= (1.5 + 2) / 2 is 1.75

f(c) = (1.75)³ + (1.75)² - 10(1.75) + 8 ≈ 0.9844

Since f(c) has a positive value, the root lies in the interval [1.5, 1.75].

Iteration 3: a = 1.5, b = 1.75

c = (a + b) / 2

= (1.5 + 1.75) / 2 is 1.625

f(c) = (1.625)³ + (1.625)² - 10(1.625) + 8  is -0.2141

Since f(c) has a negative value, the root lies in the interval [1.625, 1.75].

Iteration 4: a = 1.625, b = 1.75

c = (a + b) / 2

= (1.625 + 1.75) / 2 is 1.6875

f(c) = (1.6875)³ + (1.6875)² - 10(1.6875) + 8 which gives 0.3887.

Since f(c) has a positive value, the root lies in the interval [1.625, 1.6875].

Iteration 5: a = 1.625, b = 1.6875

c = (a + b) / 2

= (1.625 + 1.6875) / 2 is 1.65625

f(c) = (1.65625)³ + (1.65625)² - 10(1.65625) + 8 is 0.0873 .

Since f(c) has a positive value, the root lies in the interval [1.625, 1.65625].

Iteration 6: a = 1.625, b = 1.65625

c = (a + b) / 2

= (1.625 + 1.65625) / 2 which gives 1.640625

f(c) = (1.640625)³ + (1.640625)² - 10(1.640625) + 8 which gives -0.0638.

Since f(c) has a negative value, the root lies in the interval [1.640625, 1.65625].

teration 7: a = 1.640625, b = 1.65625

c = (a + b) / 2

= (1.640625 + 1.65625) / 2 results to 1.6484375

f(c) = (1.6484375)³ + (1.6484375)² - 10(1.6484375) + 8 is 0.0116

Since f(c) has a positive value, the root lies in the interval [1.640625, 1.6484375].

Continuing this process, we can narrow down the interval further until we reach the desired level of accuracy.

b. Newton-Raphson Method: The Newton-Raphson method requires an initial estimate for the root. Let's choose x₀ = 1.5 as our initial estimate.

Iteration 1:

x₁ = x₀ - (f(x₀) / f'(x₀))

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 which gives -1.375.

f'(x₀) = 3(1.5)² + 2(1.5) - 10 which gives -1.25.

x₁ ≈ 1.5 - (-1.375) / (-1.25) which gives 2.6.

Continuing this process, we can iteratively refine our estimate until we reach the desired level of accuracy.

c. Secant Method: The secant method also requires two initial estimates for the root. Let's choose x₀ = 1.5 and x₁ = 2 as our initial estimates.

Iteration 1: x₂ = x₁ - (f(x₁) * (x₁ - x₀)) / (f(x₁) - f(x₀))

f(x₁) = (2)³ + (2)² - 10(2) + 8 gives 4

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 gives -1.375

x₂ ≈ 2 - (4 * (2 - 1.5)) / (4 - (-1.375)) gives 1.7826

Continuing this process, we can iteratively refine our estimates until we reach the desired level of accuracy.

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Answer:

y=1

Step-by-step explanation:

since it’s horizontal and straight the value it intersects on the graph is what y is equal to

Hopes this help please mark brainliest