An equation of the cona-√3x+3y in spherical coordinates None of these O This option This option This option This option P=3

answer: 40

explanation: Solution for 0.20 is what percent of 0.50: 0.20:0.50*100 = (0.20*100):0.50 = 20:0.50 = 40. Now we have: 0.20 is what percent of 0.50 = 40.

bonjour;)!

0.50=100%

0.25=50%

5+5+5+5+5=50% ir 20

5=10%

5+5+5+5=40%

0.20/0.50=40%

hope it help

Answer:

The slope of the line is 2.

Step-by-step explanation:

2 is the coefficient of x.

Answer:

5,358 dollars

Step-by-step explanation:

Multiply 11.75 by 9.5.

Then multiply by 4

Then multiply by 12

The answer is 5358.

If this helped, please mark me as brainliest, thank you!

Answer:

\(factor \: of \: 6 \\ is \: 6 \\ \\ then \: having \: the \: sum \: 6 + 7 = 13 \: \\ \\ \\ \\ \\ \\ hence \: 13is \: answer\)

Answer:

I believe your answer is 6 and 1 because 6x1=66+1=7

Step-by-step explanation:

May I pls have a brainley

Answer: all of the above

Step-by-step explanation:

This is a system of equations. You have different ways to solve these: substitution, elimination or graphing

Using elimination seems the easiest to me.

You will eliminate the "y"

\(x^2 + y^2=9\\+ x^2-y^2=1\\= 2x^2 =10\)

Now solve \(2x^2=10\)

Divide by 2

\(x^2=5\)

Take the square root. Remember when you take the square root you get a positive answer and a negative answer

\(x=\sqrt{5}\) and \(x=-\sqrt{5}\)

Now, plug that back in to one of the original equations to find y.

\((\sqrt{5} )^2-y^2=1\)

\(5-y^2=1\)

subtract 5

\(-y^2=-4\)

Divide by -1

\(y^2=4\)

Square root (and remember the positive/negative)

\(y=2\) and \(y=-2\)

So: \((\sqrt{5} , 2),(\sqrt{5}, -2)\)

BUT you still need to plug in \(-\sqrt{5}\)

\((-\sqrt{5} )^2-y^2=1\)

\(5-y^2=1\)

\(-y^2=-4\)

\(y^2=4\)

\(y=2\) and \(y=-2\)

So: \((-\sqrt{5} , 2),(-\sqrt{5}, -2)\)

The correct answer is all 4 of those choices!

Based on the fact that Saudi Arabia can either produce 45 barrels or 70 bushels, their opportunity cost for one barrel is 1.56 bushels

The opportunity cost for producing one barrel can be found by the formula:

= Number of bushels capable / Number of barrels

Solving gives:

= 70 / 45

= 1.56 bushels

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Answer:

65 cm

Step-by-step explanation:

Hey There!

So the congruency statement ABC = TUV

states that side AB = side TU side BC  = side UV and side CA = side VT

The given side lengths are BC and UV which are congruent to each other so we set up an equation to solve for x

7x+2=6x+11

step 1 subtract 2 from each side

2-2 cancels out

11-2=9

Now we have

7x=6x+9

step 2

subtract 6x from each side

7x-6x=x

6x-6x cancels out

now we have 9=x so x=9

Now we just plug in 9 to x in (6x+11)

to find the length of the given side length

6x9=54

54+11=65

Because side VU and side BC are congruent they both equal 65 cm

So we can conclude that the length of the given sides is 65 cm

The1AndOnlyMarkus

Answer:

4

Step-by-step explanation:

Move numbers to right hand side

The derivative is negative, the equilibrium point y = 0 is locally stable.

(a) To find all  stability and determine if each is locally stable or unstable, follow these steps for the equation y' = 5 - 3y:

1. Set y' equal to 0 and solve for y: 0 = 5 - 3y.
2. Isolate y: 3y = 5, so y = 5/3.

Now, let's use the local stability criterion:

3. Calculate the  derivate of y' with respect to y: dy'/dy = -3.
4. Evaluate the derivative at the equilibrium point y = 5/3: -3.

Since the derivative is negative, the equilibrium point y = 5/3 is locally stable.

For the phase plot, sketch the slope field of the differential equation y' = 5 - 3y. You will notice that the slopes are positive for y < 5/3 and negative for y > 5/3, which confirms the stability of the equilibrium point.

(b) To find all equilibria and determine if each is locally stable or unstable, follow these steps for the equation y' = 2y - 3y:

1. Simplify the equation: y' = -y.
2. Set y' equal to 0 and solve for y: 0 = -y, so y = 0.

Now, let's use the local stability criterion:

3. Calculate the derivative of y' with respect to y: dy'/dy = -1.
4. Evaluate the derivative at the equilibrium point y = 0: -1.

Since the derivative is negative, the equilibrium point y = 0 is locally stable.

For the phase plot, sketch the slope field of the differential equation y' = -y. You will notice that the slopes are positive for y < 0 and negative for y > 0, which confirms the stability of the equilibrium point.

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Answer:

y ≈ 242.4 ft

Step-by-step explanation:

The angle on the right of the triangle = 29° ( alternate angle )

Using the sine ratio in the right triangle

sin29° = \(\frac{opposite}{hypotenuse}\) = \(\frac{y}{500}\) ( multiply both sides by 500 )

500 × sin29° = y , then

y ≈ 242.4 ft ( to the nearest tenth )

Answer:

c

Step-by-step explanation:

d=225=15²>0

roots are real , rational and different.

The equation of the tangent plane to the given parametric surface at the specific point is -2x + 4z = 0  .

In the question ,

it is given that ,

the function is r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

Now,

According to the give function,

r(u,v) = (u² , 2usin(v) , ucos(v))

Then, solving it , We get ,

r(u,v) = (u² , 2usin(v) , ucos(v))

\(r_{u}\) = (u , 2sin(v) , cos(v))

\(r_{u}\) (1,0) = (2 , 0 , 1)

\(r_{v}\) = (0 , 2ucos(u) , -sin(v))

\(r_{v}\) (1,0) = (0 , 2 , 0)

So , the matrix become

\(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&2&0\end{array}\right]\)

On simplifying , we get

i(−2) −j(0) \(+\) k(4) = (−2 , 0 , 4)

r(2,0) = (2 , 0 , 1)

The  plane is

r = −2x \(+\) 4z

r(2,0,1) = −2(2) \(+\) 4(1) = d

−4 \(+\) 4 \(=\) d

d = 0

Therefore , the equation of tangent is -2x + 4z = 0 .

The given question is incomplete , the complete question is

Find an equation of the tangent plane to the given parametric surface at the specified point.  r(u,v) = u²i + 2usin(v)j + ucos(v)k ; u = 1, v = 0 .

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The height of the electric pole is 12 m

When an electric wire falls, its one end touches the ground at P, 5 m away from the base of the pole,

base = 5

length of the wire from the top of the pole to the ground is 13 m

Height of the plant can be calculated by pythagoras theorem

h² = p² + b²

13² = p² + 5²

p² = 169 - 25

p = √144

p = 12m

Therefore, the height of the electric pole is 12 m

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Answer:

well just do area, and since it's the same in each side 12×4= 144

Answer:

3 coefficient po

Step-by-step explanation:

sana maka tulong

Answer:

he would have a 50% chance of getting one of the 10 prizes

a. we are 95% confident that the true proportion of college students who work to pay for tuition and living expenses is between 0.552 and 0.648.

b. we are 99% confident that the true proportion of college students who work to pay for tuition and living expenses is between 0.528 and 0.672.

a.  To find the confidence interval for the population proportion, we need to know the sample size and the proportion of the sample who work to pay for tuition and living expenses. Let's assume that a sample of 500 college students was used in the study and that 60% of them work to pay for tuition and living expenses.

Using a 95% confidence level, we can use the following formula to calculate the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Margin of Error = Z* √( (Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Where Z* is the critical value from the standard normal distribution corresponding to the desired confidence level. For a 95% confidence level, Z* = 1.96.

Plugging in the values we have:

Margin of Error = 1.96 * √((0.6 * 0.4) / 500) = 0.048

Confidence Interval = 0.6 ± 0.048 = (0.552, 0.648)

b. To find the confidence interval for a higher confidence level of 99%, we can use the same formula, but with a different Z* value. For a 99% confidence level, Z* = 2.576.

Margin of Error = 2.576 * √((0.6 * 0.4) / 500) = 0.072

Confidence Interval = 0.6 ± 0.072 = (0.528, 0.672)

c. As the confidence level increases, the margin of error increases as well. This is because a higher confidence level requires a wider interval to capture the true population proportion with greater certainty. This wider interval results in a larger margin of error.

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Jonathan attempted a total of 960 free throws in the season.

To find the total number of free throws Jonathan attempted, we need to determine the percentage of free throws he made.

Since he misses 5% of the free throws, it means he makes 95% of them.

Let's set up the proportion:

Missed free throws / Total free throws = Percentage missed / 100%

48 / Total free throws = 5 / 100

48 x 100 = Total free throws x 5

4800 = 5 x Total free throws

Total free throws = 4800 / 5

Total free throws = 960

Therefore, Jonathan attempted a total of 960 free throws in the season.

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Answer:

C is the correct answer

-1 (4 + x) = 6

=> 4 + x = 6/-1

=> 4 + x = -6

=> x = -6 -4

=> x = -10

A measurement that is closest to the the distance between point B and point D is 6√5 or 13.42 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(-1 - 5)² + (3 + 9)²]

Distance = √[(-6)² + (12)²]

Distance = √[36 + 144]

Distance = √180

Distance = 6√5 or 13.42 units.

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The value of the test statistic is :Z = 1.589

The null and alternative hypothesis are defined as,

\(H_0:\mu\leq 12\\\\H_1:\mu > 12\)

The critical value is the value which disintegrates the rejection region from the non-rejection region. The significance level decides the area of the rejection region. The higher is the significance level then lower is the magnitude of the critical value.

We have the following information available from the question is:

A sample of 39 past customers is taken.

The average delivery time in the sample was 13.4 days.

The sample standard deviation was 5.5 days.

Population mean; μ = 12

Sample mean; x' = 13.4

Sample standard deviation; s = 5.5

Sample Size; n = 39

The significance level is at 5% or 0.05.

We have to conduct an appropriate hypothesis test and find the t-statistic and the appropriate conclusion at the 0.05 level of significance.

Now, According to the question:

The test statistic is defined as,

Z = \(\frac{x(bar)- \mu}{\frac{\sigma}{\sqrt{n} } }\)

The observed value of Z from the sample,

Z= \(\frac{13.4- 12}{\frac{5.5}{\sqrt{39} } }\)

Z = 1.4/0.8807

Z = 1.589

The null and alternative hypothesis are defined as,

\(H_0:\mu\leq 12\\\\H_1:\mu > 12\)

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The expansion of (a+b)^15 is: a^15 + 15a^14b + 105a^13b^2 + 455a

To expand (a+b)^15 using the Binomial Theorem, we can use the formula:

(a + b)^n = C(n,0)a^nb^0 + C(n,1)*a^(n-1)*b^1 + C(n,2)*a^(n-2)*b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n

where C(n,k) represents the binomial coefficient "n choose k" which is equal to n!/(k!(n-k)!).

In this case, n = 15, so we have:

(a+b)^15 = C(15,0)a^15b^0 + C(15,1)a^14b^1 + C(15,2)a^13b^2 + ... + C(15,14)a^1b^14 + C(15,15)a^0b^15

We can evaluate each binomial coefficient using the formula above, or we can use Pascal's Triangle to obtain the coefficients:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 792 924 792 495 220 66 12 1

1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1

1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1

1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1

Thus, we have:

(a+b)^15 = 1a^15b^0 + 15a^14b^1 + 105a^13b^2 + ... + 5005a^1b^14 + 32768a^0b^15

Simplifying, we get:

(a+b)^15 = a^15 + 15a^14b + 105a^13b^2 + 455a^12b^3 + 1365a^11b^4 + 3003a^10b^5 + 5005a^9b^6 + 6435a^8b^7 + 6435a^7b^8 + 5005a^6b^9 + 3003a^5b^10 + 1365a^4b^11 + 455a^3b^12 + 105a^2b^13 + 15ab^14 + b^15

Therefore, the expansion of (a+b)^15 is:

a^15 + 15a^14b + 105a^13b^2 + 455a

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The required length of licorice for $1.80 is given as 18 in.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here,
The price of licorice is proportional to its length. It costs $0.50 to buy 5 in; it is uncertain how much licorice you can get for $1.80.
Let the price be y and the length be x,
according to the quesiton,
y = kx,
put y = 0.50 and x = 5
0.50 = 5k
k = 0.1

Now

y = 0.1 x
for
y = 1.8
1.8 = 0.1x
x = 18

Thus, the length of licorice necessary for $1.80 is specified as 18 in.

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Answer:

y=80-8x

Step-by-step explanation:

Bc the 80 is what it started at and the x represents the hour

(In y=mx+b form)

He sold four and eight-eighteenths pitchers of lemonade on Saturday, Thus, option C is correct.

Combining an integer (whole number) and a fraction creates a mixed number, which is also referred to as a mixed fraction (part of a whole number).

Given that, Carlos sold two and two-thirds pitchers of lemonade at his lemonade stand i.e.

\(2\dfrac{2}{3}\)

On Saturday, he sold one and four-sixths times as much lemonade as he sold on Friday i.e.

\(1\dfrac{4}{6}\) of \(2\dfrac{2}{3}\)

On solving we get

\(\Rightarrow 1\dfrac{4}{6} \times 2\dfrac{2}{3}\)

\(\Rightarrow \dfrac{10}{6} \times \dfrac{8}{3}\)

\(\Rightarrow \dfrac{80}{18}\)

\(\Rightarrow 4\dfrac{8}{18}\)

Abbreviated as four and eight-eighteenths,

Thus, He sold four and eight-eighteenths pitchers of lemonade on Saturday, Thus, option C is correct.

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Answer:

b

Step-by-step explanation: