which is the correct force equilibrium equation along the y direction? ∑Fy = Cy + 450sin40° - 300 = 0
∑Fy = Ay + By + Cy + 450sin40° - 300 = 0
∑Fy = Cy + 450cos40° - 300 = 0
∑Fy = Ay + By + Cy + 450cos40° - 300 = 0
∑Fy = Cy + 450sin40° = 0
∑Fy = Cy + 450cos40° = 0

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Test the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level. The p-value is 0.024.

The null and alternative hypotheses for the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level are:

H0: p = 0.7 (null hypothesis

)H1: p ≠ 0.7 (alternative hypothesis)

The test is a two-tailed test because the alternative hypothesis includes not equal to (<>) which means either p is less than 0.7 or greater than 0.7

Based on a sample of 500 people, 62% owned cats.

This means that the sample proportion, p = 0.62.

To calculate the p-value, we will use the z-test statistic.

The formula for calculating the z-test statistic is given as:

z = (p - P) / √(PQ/n) where P is the hypothesized proportion (P = 0.7), Q is the complement of P (Q = 1 - P), and n is the sample size.

Using the given values in the formula, we have; z = (0.62 - 0.7) / √(0.7 × 0.3 / 500) = -2.52

The p-value for a two-tailed test at 0.02 level of significance is obtained from the standard normal table.

The area in both tails beyond the z-score of 2.52 is 0.012.

Therefore, the p-value is:

p-value = 2 × 0.012 = 0.024

To learn more about p-value

https://brainly.com/question/13786078

#SPJ11

The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

Learn more about function on:

https://brainly.com/question/7693326

#SPJ4

Answer:

D: (15,13)

Step-by-step explanation:

So we know that the midpoint of CD is (5,6).

We also know that Point C is (-5,-1), and we want to find Point D.

Remember that the Midpoint Formula is:

\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

Let's let Point C (-5,-1) be (x₁, y₁) and let's let Point D be (x₂, y₂)

We already know that the midpoint is (5,6). So:

\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})=(5,6)\)

So:

\(\frac{x_1+x_2}{2}=5\text{ and } \frac{y_1+y_2}{2}=6\)

Let's solve them individually.

For the first one, let's substitute -5 for x₁. So:

\(\frac{-5+x_2}{2}=5\)

Multiply both sides by 2:

\(-5+x_2=10\)

Add 5 to both sides:

\(x_2=15\)

So, the x-coordinate of Point D is 15.

Do the same for the y-coordinate. Substitute -1 for y₁. So:

\(\frac{-1+y_2}{2}=6\)

Multiply both sides by 2:

\(-1+y_2=12\)

Add 1 to both sides:

\(y_2=13\)

So, the y-coordinate of Point D is 13.

Therefore, Point D is (15,13).

And we're done!

Answer:

16383

Step-by-step explanation:

34 hours

$332-$196= $136

136÷4=34 hrs

34×$4= $136

Answer:

18.65%

Step-by-step explanation:

We know

The regular price of each song is $0.89

0.89 x 15 = $13.35

Using a special discount, you download 15 songs for $10.86

What is the percentage of the discount​?

We Take

13.35 - 10.86 = $2.49

Then we take

2.49 divided by 13.35, time 100 = 18.65%

So, the percent of the discount is 18.65%

ANSWER

8 : 3

EXPLANATION

We have that the jar contains 990 beans, 8/11 of which are kidney beans.

The number of kidney beans are:

8 / 11 * 990 = 720

We can find the number of navy beans by subtracting the number of kidney beans from the total number of beans:

990 - 720 = 270

Therefore, the ratio of kidney beans to navy beans is:

720 : 270

In lowest terms:

8 : 3

That is the answer.

Answer:

9/4

Step-by-step explanation:

x/6 = 3/8

or, 8x = 3*6

or, x = 18/8

or, x = 9/4

Answer:

18

Step-by-step explanation:

8n=144

divide the both side of the equation by 8

and you will get

n=18

Answer:

8n-5=139

Add 5 to each side.

8n=144

Divide each side by 8.

n=18

Answer:

both ratios  together is  21618750 is 363125

18,750 = A

216= B

18,750 : 216 =  3125 : 36

Step-by-step explanation:

hope that helps>3

To find the equilibrium price and quantity in the given market, we need to determine the point where the quantity demanded (Qd) equals the quantity supplied (Qs).

We start by setting D(p) equal to S(p) and solving for the equilibrium price.

D(p) = S(p)

3097 - 23p = -5 + 10p

Combining like terms and isolating the variable, we get:

33p = 3102

p = 3102/33 ≈ 94.00

Therefore, the equilibrium price is approximately $94.00.

To find the equilibrium quantity, we substitute the equilibrium price into either the demand or supply equation. Let's use the demand equation:

Qd = 3097 - 23p

Qd = 3097 - 23(94)

Qd ≈ 853

Hence, the equilibrium quantity is approximately 853 widgets.

To calculate the price elasticity of demand, we use the formula:

PED = (ΔQd / Qd) / (Δp / p)

Substituting the equilibrium values, we have:

PED = (0 / 853) / (0 / 94)

PED = 0

The price elasticity of demand is 0 (zero), indicating perfect inelasticity, meaning that a change in price does not affect the quantity demanded.

For the price elasticity of supply, we use the formula:

PES = (ΔQs / Qs) / (Δp / p)

Substituting the equilibrium values, we have:

PES = (0 / 853) / (0 / 94)

PES = 0

The price elasticity of supply is also 0 (zero), indicating perfect inelasticity, meaning that a change in price does not affect the quantity supplied.

To know more about equilibrium click here:  brainly.com/question/30694482

#SPJ11

Answer:

k = 2.5

Step-by-step explanation:

So we start off with: 2.5(4k+2) = 12k

Let's first distribute.

10k + 5 = 12k

Now let's subtract 10k from both sides.

5 = 2k

Now let's divide both sides by 2.

2.5 = k

The scalars c1 = 2/5, c2 = -3/5, and c3 = -8/5 satisfy the equation:

c1M1 + c2M2 + c3M3 = [ 2 3 ][ 1 2 ]

We want to find the scalars c1, c2, and c3 such that:

c1M1 + c2M2 + c3M3 = M

Substituting the given matrices:

c1[ 2 2 ] c2[ -1 1 ] c3[ 1 2 ] [ 2 3 ]

[ 1 1 ] [ 2 1 ] [ 3 1 ] [ 1 2 ]

Multiplying each scalar by its corresponding matrix:

[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ]

[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ]

Setting the result equal to M:

[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ] = [ 2 3 ]

[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ] [ 1 2 ]

This gives us two equations:

2c1 - c2 + c3 = 2

2c1 + 2c2 + 3c3 = 3

c1 + 2c2 + 3c3 = 1

c1 + c2 + 2c3 = 2

We can solve this system of equations using any method we prefer, such as elimination or substitution. Here, we will use elimination.

Subtracting the first equation from the second, we get:

3c2 + 4c3 = 1

Subtracting the third equation from fourth, we get:

c2 - c3 = 1

Multiplying second equation by 2, we get:

4c1 + 4c2 + 6c3 = 6

Subtracting first equation from this, we get:

5c2 + 5c3 = 4

Now we have three equations for c2 and c3:

3c2 + 4c3 = 1

c2 - c3 = 1

5c2 + 5c3 = 4

Solving for c2 and c3 using elimination, we get:

c2 = -3/5

c3 = -8/5

Substituting these values into the third equation, we get:

c1 = 2/5

Learn more about matrix here: brainly.com/question/1279486

#SPJ4

Answer:

You use the most important and sacred tool: ruler

Answer: By measuring with tape or ruler

Step-by-step explanation:

Step-by-step explanation:

a parallel line has the same slope. that is the actual meaning of "parallel".

so we need to find the slope of line t to get our answer.

remember, the slope is the ratio " y coordinate change / x coordinate change" when going from one point on the line to another.

so, here we have 2 points (9, 10) and (3, 3).

going from the first to the second we see

x changes by -6 (from 9 to 3).

y changes by -7 (from 10 to 3).

the slope is then -7/-6 = 7/6.

and therefore, the slope of u is also 7/6.

Answer:7

Step-by-step explanation:

Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

A geometric sequence is a sequence of numbers or functions in which successive member differ by a constant term called the common ratio.

Analysis:

For a, the first term is 3/16, second term is 3/8. if we divide the second term by the first we have 2. If we do same with the third and second we still have 2. so this is a geometric sequence

For d, if we divide 9 by 3 we have 3, if we divide 27 by 9 we have 3. so this is a geometric sequence.
For f, if we make x equal to a nonzero integer, we have first term as -16/9, second term as -64/81 and third term as -256/729. if we divide the second term by the first we have -4/9, if we divide the third by the second we have-4/9.

In conclusion, Only three are geometric sequences, a which is 3/16, 3/8, 3/4, 3/2, d which is 3,9,27,81 and f which is -4(4/9)^x

Learn more about geometric sequence: brainly.com/question/9300199

#SPJ1

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them. So the monthly charge for Danielle's cable bill is $5.

Danielle pays a monthly charge of $69 for her cable bill.

She also pays a fee every time she watches a movie on demand.

Last month Danielle watched 7 movies on demand, and her total monthly bill was $104.

We have to find the monthly charge for Danielle's cable bill to choose.

Remove the monthly fee of 69 dollars for cable service from the total of 104 dollars, then check the statement to see that there is still a mystifying 35 dollars on it.

Danielle viewed 7 movies on demand, thus you must divide her 35 dollars among them, giving you the result of $5 per on-demand movie.

To learn more about Simplification link is here brainly.com/question/19691064

#SPJ4

The puck travelled a distance of 53.8 meters when the puck is 120 centimeters before the opponent's goal and puck travelled a distance of 56.2 meters when the puck is 120 centimeters after the opponent's goal.

Given that the distance to the opponent's goal from the player's current position is 55 meters. And after the shot, the puck is 120 centimeters from his opponent's goal.

We need to find out how many meters the puck travelled.

Also given there are 100 centimeters in 1 meter.

So, 55 meters = 55 × 100 centimeters

⇒ 55 metets = 5500 centimeters

Now, we are given that the puck is 120 centimeters from the opponent’s goal. It is not clear whether the puck landed before or after the goal post. So, considering both cases.

Case 1: the puck is 120 centimeters beyond the opponent's goal.

So, the distance travelled by the puck is

5500 centimeters + 120 centimeters = 5620 centimeters

Divide 5620 by 100 to convert centimeters to meters.

The puck travelled a distance of 5620 cm or 56.2 meters.

Case 2: the puck is 120 centimeters before the opponent's goal.

So, the distance travelled by the puck is

5500 centimeters - 120 centimeters = 5380 centimeters

Divide 5380 by 100 to convert centimeters to meters.

The puck travelled a distance of 5,380 cm or 53.8 meters.

Learn more at:

https://brainly.com/question/18691573

#SPJ9

Answer:

No

Step-by-step explanation:

When Anna starts, she does a sit-up every 22 seconds. As she gets tired, each sit-up takes longer and longer to do. It would mean that the number of sit ups are not proportional to the time. If any thing is proportional, the rate at which the quantity increases or decreases should be constant. But in this the rate is not constant. Also, when she gets tired, sit-up takes longer time

Answer:

no

Step-by-step explanation:

did on khan

Answer:

7y2 + 8xy - 3

Step-by-step explanation:

7y2 + 6xy + 2xy -3  You distribute the - sign through the second binomial.  You are distributing or multiplying (-2xy -3) by -1  Combine like terms

7y2 + 8xy -3

Answer:

What is the difference of the two polynomials?

(7y2 + 6xy) – (–2xy + 3)

7y2 + 4xy – 3

7y2 + 8xy – 3 Correct

7y2 + 4xy + 3

7y2 + 8xy + 3

Step-by-step explanation:

16p^4 + 4p^3 = 4p^3(p + 1)

The greatest common factor is 4p^3

then the factored form is:

4p^3(p + 1)

Answer:

4p^3(p + 1)

The explanation about counterexample for the conjecture is describe below.

The term counterexample alludes to an occasion or model that offers the expression bogus. This is utilized in rationale to check in the event that an assertion is valid or not. Counter model will quite often counter the explanation being talked about with admirable sentiments.

The inquiry needs to show the relationship that might exist among perimeter and area of a rectangle.

The counterexample gave the aspects that gave the border which is 40 however neglected to give area of 1 square unit

Thus, A rectangle with length 19.99 units and width 0.01 unit has a perimeter of 40 units and an area of 0.1999 square unit.

To know more about counterexample visit:

brainly.com/question/88496

#SPJ4

Answer:

hope this helps

Step-by-step explanation:

a. 1/4 as a power of 2 = root 4 v/2

b.

Radium-226 mass decays to 1/4 of it mass every 6400 years

64gr ( 1/4) = 16gr ----→after 6400 years its mass is 16gr

now its current mass is 16gr

16gr (1/4) = 4gr -----> after another 6400 years its mass is 4gr

again, its current mass after 12800 years is 4gr

4gr (1/4) = 1gr ------> after another 6400 years its mass is 1gr

why 4600 3 times? = 4600+4600+4600 = 19200 years

the remaining mass after 19200 years is 1gr

Answer:

a=14

b=6

c=5

Step-by-step explanation:

\(x-6\sqrt{x} + 4 = 0\)

\(x +4 =6\sqrt{x}\)

\(x^2 + 8x + 16 = 36x\)

\(x^2 - 28x + 16 = 0\)

14 ±6\(\sqrt{5}\)  

Answer:

A=14,B=6, C=5

Step-by-step explanation:

t3(x)  = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3.

To find t3(x) we need to find the coefficient of polynomials by using the formula for nth degree taylor polynomial.

what is taylor polynomials?

This are approximations of a function, which become generally better as n increases. It is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

using the nth degree taylor polynomial formula:

tn(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...... + f^(n)(a)(x-a)^n/n!

where f^(n)(a) is the nth derivative of f evaluated at x=a.

By calculating we get t3(x) as

t3(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3!

       = f(a) + f'(a)(x-a) + (1/2)f''(a)(x-a)^2 + (1/6)f'''(a)(x-a)^3.

To learn more about taylor polynomials check the given link brainly.in/question/48481276

#SPJ4

Answer:

v - 18 i THINK

Step-by-step explanation: