The first three terms of a sequence are given. Round to the nearest thousandth (if necessary): 261. 256, 251.... Find the 50th term.​

Answer:

5

Step-by-step explanation:

3/5 times 7 is 4 1/5 and you cant buy 1/5 of a can so you have to round up to 5

For the customer service survey, the percentage of the men gave an excellent rating is 57.5%.

The percentage of the men who gave an excellent rating can be calculated by dividing the number of men who gave an excellent rating by the total number of men who took the survey and multiplying by 100%.

Total number of customers surveyed = 400 (200 men and 200 women)

Number of men who rated customer service as excellent = 115

Number of women who rated customer service as excellent = 165

To find percentage of the men who gave an excellent rating, formula to be used:

Percentage of the men who gave an excellent rating = (Number of men who rated customer service as excellent / Total number of men who took the survey) x 100%

Therefore,

Percentage of the men who gave an excellent rating = (115/200) x 100%

Percentage of the men who gave an excellent rating = 57.5%

Therefore, the answer is 57.5%.

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Answer:

the probability is 7

Step-by-step explanation:

if you think about it this way you have 10 tickets:

1 2 3 4 5 6 7 8 9 10

they say that if you pull anything greater than 3 so anything greater than 3 would be higher. 4, 5, 6, 7, 8, 9, 10 if you count from 4- 10 the answer is 7. I don't know if that helped at all but hopefully it did.

Answer:

n> -6

Step-by-step explanation:

-35n -28< 182

         +28    +28

______________

-35n < 210

n> -6

Answer:

7. +6

8. -2

9. +1

10. +2

11. -4

12. +4

13. -3

14. -2

15. +1

16. -5

17. -5

18. 0

Step-by-step explanation:

Step-by-step explanation:

which one are you asking for???

Answer:  Noah's mixture would be more flavorful and fizzy because his ratio of water and fizz powder aren't to off (not a large ratio gap). Andre's orange fizz would be a little more watered down making it less fizzy and less flavorful because 8 cups were added instead of 6 or 7 cups of water. Also Noah would have less drink made them Andre because he only used 6 cups of water.

Step-by-step explanation:

Answer:

21.meters

Step-by-step explanation:

po sana makatulong

Answer:

d. 50

Step-by-step explanation:

5² + 5² = 50

I hope this helps!

Answer:

Solution given:

perpendicular[p]=x

base[b]=11.6m

hypotenuse[h]=19.2m

by using Pythagoras law

h²=p²+b²

19.2²-11.6²=x²

x=\(\sqrt{234.08}\)

x=15.3m

option

a.

15.3 m

Answer:

15.3 m

Step-by-step explanation:

c refers to the longest side (hypotenuse) whereas a and b referes to the two other smaller sides of atriangle.

pythagoras theorem

a^2 + b^2 = c^2

11.6^2 + x^2 = 19.2^2

134.56 + x^2 = 368.64

x^2 = 368.64 - 134.56

x^2 = 234.08

x=\(\sqrt{234.08\)

x=15.29

x=15.3 m

The greatest common factor is 4.

Step-by-step explanation:

The length of the ramp is approximately 14.3 inches.

We can use trigonometry to determine the length of the ramp. Let's name the ramp's length "x."

We know that the height of the doorway is 1.2 feet, and we want the ramp to make an angle of 4.8 degrees with the ground.

From trigonometry, we know that as per the tangent function,

tan(4.8) = opposite/adjacent

where "opposite" is the height of the doorway (1.2 feet) and "adjacent" is the length of the ramp (x).

Now we can solve for x:

tan(4.8 ) = 1.2 / x

x = 1.2 / tan(4.8 )

x ≈ 14.3 inches

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Answer:

Step-by-step explanation:

The expression p² - 10p + 25 can be factored as follows:

p² - 10p + 25 = (p - 5)²

This is an example of perfect square trinomial. It can be recognized as such because the first and last terms are perfect squares (p² and 25), and the middle term (-10p) is twice the product of the square roots of the first and last terms (2√(p²×25) = 2p×5 = 10p).

So, the factored form of the expression is (p - 5)².

Step-by-step explanation:

The answer to this question is (p-5)^2

El ejercicio completo con las opciones de respuesta está a continuación:

Los primeros días de enero el representante  del mercado recibió cierta cantidad de dinero,hizo una operación y se dio cuenta que habían pagado 15 personas,cómo puede saber la cantidad recibida?

a.Multiplicando el dividendo por el divisor

b. Sumando el dividendo con el cociente y el residuo

c.Multiplicando el divisor por el cociente y sumando el residuo

d.Multiplicando el dividendo por el cociente y sumando el residuo

Answer:

La opción c es la respuesta correcta

Step-by-step explanation:

El valor de 15 corresponde al cociente es decir al total de personas que pagaron;el ejercicio nos da el valor del divisor que es 425 ; para saber cual es la cantidad exacta recibida debemos multiplicar el divisor por el cociente y si hay residuo sumarlo; el ejercicio nos queda de la siguiente manera:

425 x 15 = 6.375 (la cantidad recibida fue de 6.375)

\(\frac{6375}{425}\) = 15 (comprobación de la división para obtener el cociente con valor de 15)

The convincing evidence provided by the confidence interval depends on whether the interval includes or excludes the value of 12 ounces. If it excludes 12 ounces, it provides convincing evidence of a difference. If it includes 12 ounces, it does not provide convincing evidence of a difference.

To determine whether the confidence interval provides convincing evidence that the true mean volume is different than 12 ounces, we need to examine the confidence interval and its relationship to the value of 12 ounces.

A confidence interval is constructed based on sample data and provides a range of values within which the true population parameter is estimated to lie. The width of the confidence interval is influenced by factors such as the sample size, variability of the data, and chosen level of confidence.

If the confidence interval for the mean volume does not include the value of 12 ounces, it suggests that the true mean volume is likely to be different from 12 ounces. In this case, the confidence interval provides convincing evidence that the true mean volume is different from 12 ounces.

However, if the confidence interval does include the value of 12 ounces, it does not provide convincing evidence that the true mean volume is different from 12 ounces. This suggests that the data is consistent with the possibility that the true mean volume could be 12 ounces.

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Answer:

1. C) 3

2. D) -1

3. D) 7^2 - 8*2 - 16

4. B) 75

5. B) 6^2 + (2 - 8)*sqrt(81)

Step-by-step explanation:

1. (10 - (6-4)^2)/2

= (10 - 2^2)/2

= (10 - 4)/2

= 6/2

= 3

2. PEMDAS states that Multiplication is before Subtraction

8 - (5^2-7)/2

= 8 - (25-7)/2

= 8 - 18/2

= 8 - 9

= -1

3. D) 7^2 - (8*2) - 16

= 49 - 16 - 16

= 49 - 32

= 17

4. 3(2 + 3)^2

= 3(5)^2

= 3(25)

= 75

5. 6^2 + (2 - 8)*sqrt(81)

= 36 + (-6*9)

= 36 - 54

= -18

Exam A:

Z = -1, then...

Exam B:

Answer: 21

The curvature of the curve is k(t) = 1/(1+t2)^(3/2) and the radius of curvature is R(t) = (1+t^2)^(3/2).

To find the curvature and radius of curvature of the curve, we need to find the components of the unit tangent vector T(t) and the normal vector N(t) at a given point. Then we can find the curvature as the magnitude of the rate of change of the unit tangent vector with respect to arc length, which is given by |dT/ds|. The radius of curvature is the reciprocal of the curvature.

First, we find the unit tangent vector T(t) by differentiating r(t) with respect to t and dividing by its magnitude:

r(t) = (cos t + t sin t) i + (sin t - t cos t) j

v(t) = dr/dt = (-sin t + t cos t) i + (cos t + t sin t) j

|v(t)| = sqrt[(-sin t + t cos t)^2 + (cos t + t sin t)^2]

= sqrt[1 + t^2]

Therefore, the unit tangent vector is:

T(t) = v(t) / |v(t)| = (-sin t + t cos t) / sqrt[1 + t^2] i

+ (cos t + t sin t) / sqrt[1 + t^2] j

Next, we find the normal vector N(t) by differentiating T(t) with respect to arc length s and dividing by its magnitude:

dT/ds = |v(t)| dT/dt

N(t) = (1 / |dT/ds|) dT/ds

We have:

dT/dt = (-cos t - t sin t) / (1 + t^2)^(3/2) i

+ (-sin t + t cos t) / (1 + t^2)^(3/2) j

|dT/ds| = |v(t)| / |r'(t)| = sqrt[1 + t^2] / sqrt[(cos t + t sin t)^2 + (sin t - t cos t)^2]

= sqrt[1 + t^2] / sqrt[1 + t^2]

= 1

Therefore, the normal vector is:

N(t) = (-cos t - t sin t) / sqrt[1 + t^2] i

+ (-sin t + t cos t) / sqrt[1 + t^2] j

The curvature is given by:

k = |dT/ds|

We have:

dT/ds = |v(t)| dT/dt = (1 + t^2) (-cos t - t sin t) / (1 + t^2)^(3/2) i

+ (1 + t^2) (-sin t + t cos t) / (1 + t^2)^(3/2) j

= (-cos t - t sin t) / (1 + t^2)^(1/2) i

- (sin t - t cos t) / (1 + t^2)^(1/2) j

Therefore, the curvature is:

k = |dT/ds| = sqrt[(-cos t - t sin t)^2 + (sin t - t cos t)^2] / (1 + t^2)

= sqrt[2] / (1 + t^2)

The radius of curvature is the reciprocal of the curvature:

R = 1 / k = (1 + t^2) / sqrt[2]

To find the curvature and radius of curvature at t = 1, we substitute t = 1 into the expressions for k and R:

k = sqrt[2] / 2

R = (1+t^2)^(3/2)

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Step-by-step explanation:

the solution is the crossing point (where both equations deliver the same result).

and that is (2, 2).

The effective rate (APY) for Molly's deposit at Bank of America is approximately 8.24%.

To calculate the effective rate or annual percentage yield (APY) for Molly Hamilton's deposit of $50,000 at Bank of America with an interest rate of 8% compounded quarterly, we use the formula APY = (1 + (r/n))^n - 1, where r is the annual interest rate and n is the number of compounding periods per year.

In this case, the annual interest rate is 8% or 0.08, and since interest is compounded quarterly, there are 4 compounding periods per year. Plugging in these values into the APY formula, we have APY = (1 + (0.08/4))^4 - 1.

Evaluating the expression, we find APY ≈ 0.0824 or 8.24%. Therefore, the effective rate (APY) for Molly's deposit at Bank of America is approximately 8.24%, rounded to the nearest hundredth percent.

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Given:

The quadratic equation is:

\(10m^2-7m+3=0\)

To find:

The solutions for the given equation by using the quadratic formula.

Solution:

If a quadratic equation is \(ax^2+bx+c=0\), then the quadratic formula is:

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

We have,

\(10m^2-7m+3=0\)

Here, \(a=10,b=-7,c=3\). Using the quadratic formula, we get

\(m=\dfrac{-(-7)\pm \sqrt{(-7)^2-4(10)(3)}}{2(10)}\)

\(m=\dfrac{7\pm \sqrt{49-120}}{20}\)

\(m=\dfrac{7\pm \sqrt{-71}}{20}\)

\(m=\dfrac{7\pm i\sqrt{71}}{20}\)             \([\because \sqrt{-a}=i\sqrt{a},a>0]\)

Therefore, the solution set of the given equation is \(\left\{\dfrac{7- i\sqrt{71}}{20},\dfrac{7+ i\sqrt{71}}{20}\right\}\). Hence, the correct option is D.

The end behavior of \(f\left(x\right)\ =3\sqrt[3]{x}\) is how its value changes as x changes

The end behavior of the function is \(\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:\)

The function is given as:

\(f\left(x\right)\ =3\sqrt[3]{x}\)

The above function is a cube root function.

A cube root function has the following properties:

This means that the end behavior of the function is:

\(\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty \:\)

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Answer:

The answer is A

Step-by-step explanation:

Had taken the test

Answer:

2x+14+6y

Step-by-step explanation:

Answer:

I think it would be the last one

Answer:

Using distance formula :

AB = \(\displaystyle \sqrt{(10-1)^2 + (3 - 7)^2}\)

AB = \(\sqrt{81 + 16}\)

AB = 9.85 units

The derivate of a function f(x) is determinated as:

For the function

First we have to determine de f ( x + h ) as follow:

Then we calculate and simplify the coeficient in the first formula

------------------------------------------------------------------------------------The equation of the tangent:

First you need to know that the derivate of a function is equal to the slope (m) of the tangent of this function

And the equation to thist tangent in a specific point will be find using the next formula:

We have to calculate the slope in the point x =4 using the derivate:

In the point x=4

Calculate the value of f(x0) substituting in the function the given point x:

Knowing that we put the value of m and f(x0) in the equation of the tangent:

---------------------------------------------------------------------------

The normal line

The slope of the normal line is the opposite of the slope of theu tangent in an espesific point:

So in this situation is:

The equation of the normal line is given by the next formula:

Replacing the data we obtain: