Calculate the circumference of a circle whose radius is 7.2 Cm (Idek I just woke up lol)

Answer:

q=16

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(q−7)=27

(3)(q)+(3)(−7)=27(Distribute)

3q+−21=27

3q−21=27

Step 2: Add 21 to both sides.

3q−21+21=27+21

3q=48

Step 3: Divide both sides by 3.

3q

3

=

48

3

q=16

Hope this Helps!

Answer:

⚪ 3x - 9 + 2x²

Step-by-step explanation:

It is a quadratic equation.

\(.\)

The shooting method is a numerical technique used to solve differential equations with specified boundary conditions. In this case, we will apply the shooting method to solve the second-order differential equation \(7d^2y/dx^2 - 2dy/dx - yx = 0\) with the boundary conditions y(0) = 5 and y(20) = 8.

To solve the given differential equation using the shooting method, we will convert the second-order equation into a system of first-order equations. Let's introduce a new variable, u, such that u = dy/dx. Now we have two first-order equations:

dy/dx = u

du/dx = (2u + yx)/7

We will solve these equations numerically using an initial value solver. We start by assuming a value for u(0) and integrate the equations from x = 0 to x = 20. To satisfy the boundary condition y(0) = 5, we need to choose an appropriate initial condition for u(0).

We can use a root-finding method, such as the bisection method or Newton's method, to adjust the initial condition for u(0) until we obtain y(20) = 8. By iteratively refining the initial guess for u(0), we can find the correct value that satisfies the second boundary condition.

Once the correct value for u(0) is found, we can integrate the equations from x = 0 to x = 20 again to obtain the solution y(x) that satisfies both boundary conditions y(0) = 5 and y(20) = 8.

The shooting method involves converting the given second-order differential equation into a system of first-order equations, assuming an initial condition for the derivative, and iteratively adjusting it until the desired boundary condition is satisfied.

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Let E be the number of erasers and P the number of pencils, the cost for the erasers will be 1*E and the cost of the pencils will be 0.25*P.

Then, adding both, we get the total cost:

If the total cost has to be 5 or less, we can define the inequality as:

We can solve this inequality as E in function of P or viceversa.

Answer:

Being E the number of erasers and P the number of pencils, the inequality is E+0.25P<=5.

The inequality for E in function of P is E<=5-0.25P.

The inequality for P in function of E is P<=20-4E.

Answer: The answer is 1.25

Step-by-step explanation: 1+0.25=1.25

There are 165 different committees possible where no member has any specific responsibilities

To solve this problem the formula and the combination procedure we must use is:

C(n/r) = n! / [(n-r)! *r!]

Where:

Information about the problem:

Applying the combination formula we have:

C(n/r) = n! / [(n-r)! *r!]

C(11/3) = 11! / [(11-3)! *3!]

C(11/3) = 11! / [(8)! *3!]

C(11/3) = 11*10*9*8! / [(8)! *3!]

C(11/3) = 11*10*9/3!

C(11/3) = 990/6

C(11/3) = 165

In mathematics, a combination or combinations are all the possible groupings that can be made of a given number of elements, without repeating them and regardless of the order in which they are found.

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Answer:

the answer is 2.5

Step-by-step explanation:

Pls make me brainiest if it helps :)

Answer:

A is the answer

Step-by-step explanation:

The coordinates of the first point of intersection in rectangular form are (x, y) = ((5/2), (5/2)).

To find the points of intersection between the polar curves r = 5 sin(θ) and r = 5 cos(θ), we need to equate the two equations and solve for θ. Let's start by setting the two equations equal to each other:

5 sin(θ) = 5 cos(θ)

Dividing both sides by 5 gives:

sin(θ) = cos(θ)

Now, we can use the trigonometric identity sin(θ) = cos(90° - θ). Replacing cos(θ) with sin(90° - θ), the equation becomes:

sin(θ) = sin(90° - θ)

Since the sine function is equal to itself for any angle plus multiples of 360°, we can write:

θ = 90° - θ + 360°  x  n

Here, n represents any integer value. Solving for θ, we get:

2θ = 90° + 360°  x  n

Dividing both sides by 2, we have:

θ = 45° + 180°  x  n

Now, let's substitute this value of θ back into the original equation r = 5 sin(θ) (or r = 5 cos(θ)) to find the corresponding r-values.

For θ = 45°:

r = 5 sin(45°) = 5 cos(45°)

Using the values of sine and cosine for 45°, we get:

r = 5  x  √(2)/2 = 5  x  √(2)/2

Simplifying further, we have:

r = (5/2)  x  √(2)

Therefore, the coordinates of the first point of intersection are (r, θ) = ((5/2)  x  √(2), 45°).

Now, let's consider the value of θ for n = 1:

θ = 45° + 180°  x  1 = 45° + 180° = 225°

For θ = 225°:

r = 5 sin(225°) = 5 cos(225°)

Using the values of sine and cosine for 225°, we get:

r = 5  x  (-√(2)/2) = -5  x  √(2)/2

Simplifying further, we have:

r = (-5/2)  x  √(2)

Therefore, the coordinates of the second point of intersection are (r, θ) = ((-5/2)  x  √(2), 225°).

To convert these polar coordinates into rectangular coordinates, we can use the formulas:

x = r  x  cos(θ) y = r  x  sin(θ)

For the first point of intersection, (r, θ) = ((5/2)  x  √(2), 45°):

x = ((5/2)  x  √(2))  x  cos(45°) = (5/2)  x  √(2)  x  √(2)/2 = (5/2) y = ((5/2)  x  √(2))  x  sin(45°) = (5/2)  x  √(2)  x  √(2)/2 = (5/2)

Hence the correct option is (b).

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Answer:

C

Step-by-step explanation:

This graph goes 3 to the left and 4 up. The only one with horizontal and vertical transformations.

Answer:

y = -3x - 3

Step-by-step explanation:

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

Using both (-1,0) and (1,-6)

then m = (-6 - 0)/(1 - -1) = (-6)/(1 + 2) = -3

then y = mx + b => y = -3x + b

Using (-1,0)

then 0 = -3(-1) + b => 0 = 3 + b => b = -3

so y = -3x - 3

The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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Answer:

The answer is 0.15

Step-by-step explanation:

Hope this helps!

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:

7) 16 sq units

8) L = 22 cm

Step-by-step explanation:

7) A = 1/2h·(sum of bases)

= 1/2(4)(5+3)

= 2(8) or 16 sq units

8) A (trapezoid) = 1/2(7)(10+12)

= 1/2(22)(7)

= 11(7) or 77 sq cm

To find 'l' in triangle:

A = 1/2·L·7

77 = 7L /2

7L = 154

L = 22 cm

Answer:

Step-by-step explanation:

16. 6.9, or 69/10

17. D,  12 feet

18. 6 11/12

if two angles are vertical what is the m = 28.

What a vertical angle?

if two angles are vertical

Then

m 2x+7= m

4x-14=m

So,

         2x+7 = 4x - 14

          4x - 2x = 14 + 7

           2x = 21

            x = 21/2

put value of x

2x+7= m ⇒  2 × 21/2 + 7

               = 21 + 7 = 28

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Answer:

1/3

Step-by-step explanation:

2/5 times 1/3 equals 1/3

Answer:

Step-by-step explanation:

step 1 : finding the area of a floor using trapezius area formula

A= \(\frac{(10+14)*6}{2} = \frac{24*6}{2} =72 m^{2} \\\)

step 2 : the problem said 1 litre of paint convers an area of 2.5 m^2, so let's calculate how many liters of paint are needed to paint the floor

\(\frac{72 m^2}{2.5 m^2} = 28.8 litre\\\)

so we need 28.8 litre to paint the floor

step 3 : Each tin is 5 litre of paint so let's calculate how many tins do we need

n=\(\frac{28.8}{5} = 5.76 \\\)

we can't by 5.76 tins so it's 6 tins

step 4 : Each tin costs 21.99 and now we calculate how much 6 tins cost for us

cost = 6 × 21.99 = 131.94

step 5 : Gary has a budget of 150 and the total cost is 131.94. So, Gary has enough money to buy all the paint he needs.

Answer:

8.8420

Step-by-step explanation:

To analyze the relationship between the monthly performance of stock in Company X and the market return, we can formulate a Simple Linear Regression Model (SRM) with Company X Return as the response variable and Market Return as the explanatory variable. The SRM allows us to estimate the relationship between these variables and make predictions based on the observed data.

The Simple Linear Regression Model (SRM) is a statistical tool used to understand the relationship between two variables, where one variable is considered as the response variable and the other as the explanatory variable. In this case, the response variable is the monthly performance of stock in Company X (Company X Return), and the explanatory variable is the market return.

By fitting the SRM to the given dataset, we can estimate the slope and intercept of the regression line, which represent the relationship between the Company X Return and the Market Return. These estimates help us understand the direction and strength of the relationship. Additionally, we can use the SRM to make predictions about the Company X Return based on the observed market return values.

To complete parts (a) through (d) of the task related to the SRM, specific instructions or questions need to be provided. These may include estimating the regression coefficients, assessing the goodness of fit, conducting hypothesis tests, or making predictions.

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The integral ˆ«(1 to [infinity]) xe^-x2 dx, is  E) divergent, that is, an indefinite integral with an upper limit of infinity.

Let's use the following steps to evaluate indefinite integral:

ˆ«(1 to [infinity]) xe^-x2 dx

We can start by making a substitution to simplify the integral.

We substitute u = -x^2, du = -2x dx. When x approaches infinity, u approaches negative infinity, and when x is 1, u is -1.

Now we can rewrite the integral with the substitution:

ˆ«(-1 to -infinity) e^(u/2) du

Next, we can use the limit property of integrals to evaluate the integral as u approaches negative infinity:

lim[u->-infinity] ˆ«(-1 to u) e^(u/2) du

As u approaches negative infinity, e^(u/2) approaches zero, so the integral becomes zero or the integral converges to zero.

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9514 1404 393

Answer:

Step-by-step explanation:

Locate the digit to the right of the place you're rounding to. If that digit is 5 or more, add 1 to the digit in the place you're rounding to. Drop all digits to the right of the one you're rounding to, unless it is left of the decimal point. In that case, zero any digits between the one you rounded and the decimal point. (See problem 3 for an example of this.)

If you're rounding to the ones place (nearest whole number), and that digit ends up being 0, then put a decimal point after it to indicate it is a significant digit.

The second attachment shows the names of the number places, if you need a reminder.

Using a standard normal distribution table or calculator, the probability (percent) of a z-score less than 1.415 is approximately 92.18%.

a) To find the percent of SAT verbal scores less than 700, we need to calculate the z-score: (700 - 516) / 130 ≈ 1.415.

Using a standard normal distribution table or calculator, the probability (percent) of a z-score less than 1.415 is approximately 92.18%.

b) To determine the number of scores greater than 575, we first find the z-score: (575 - 516) / 130 ≈ 0.453.

Using a standard normal distribution table or calculator, the probability of a z-score greater than 0.453 is approximately 1 - 0.675 = 0.325.

With 1000 randomly selected scores, about 325 (0.325 * 1000) would be expected to be greater than 575.

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Answer:

(A) \(y = x+3\)

Step-by-step explanation:

Using the values of (-6, -3), (3,6), and (5,8) we can substitute the values into each equation and see if the equation meets the requirements for all 3.

Let's test A first.

\(-3 = -6+3\)

Correct, let's try the second pair.

\(6 = 3+3\)

Correct, let's try the third pair.

\(8 = 5+3\)

So yes, this equation works.

For fun, let's try the other equations.

Let's test B.

\(-3 = -6-3\)

This is not true as -6 -3 = -9. So this equation is immediately ruled out.

Let's test C.

\(-3 = 2\cdot-6\)

Again this doesn't work, as -6 times 2 is -12. So this equation is also ruled out.

Let's try D.

\(-3 = \frac{1}{2}\cdot-6\)

This works, as half of -6 is -3 - however the equation will only work if all 3 pairs work for it.

Let's try the second pair.

\(6 = \frac{1}{2}\cdot3\)

This doesn't work, as half of 3 is 1.5. This equation is also ruled out.

Therefore, A is the only equation that works with these pairs.

Hope this helped!

Answer:

​When writing this decimal as a single-digit integer multiplied by a power of ten, the single digit integer is -8 or -7 or -4 or 4 or 7 or 8 and the power of ten is -8 or -7 or or -4 or 4 or 7

please help me

Step-by-step explanation: