What’s the answer to this question

Answer:

All of the above

Step-by-step explanation:

A whole number and integers are numbers that don't have decimals.

A rational number is a number that can be written as a fraction

A real number is any number that is not complex, which means that it has an imaginary solution or imaginary number part of it.

If she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

For given question,

a basketball player makes approximately 69% of free throws.

So, the probability of success (p) = 0.69

the probability of failure (q) = 0.31

She plays in a game in which she shoots 7 free throws.

So, n = 7

We need to find the probability that she will make all 7.

Using Binomial probability Distribution,

For x = 7,

\(P(x = 7) =~ ^7C_7\times (0.67)^7\times (0.31)^{7-7}\\\\P(x=7)= 1\times 0.0606\times 0.31\\\\P(x=7)=0.0188\)

Therefore,  if she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

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Answer:

this is right D. 45.6

Step-by-step explanation:

i took the test

Answer:

45.6

Step-by-step explanation:

(a) The sequence \(\(a_n = n^2 e^{-n}\)\) is divergent. (b) The sequence \(\(a_n = \frac{\cos(n)}{n^3}\)\) is convergent, and it converges to 0.

(a) To determine if the sequence \(\(a_n = n^2 e^{-n}\)\) is convergent or divergent, we can take the limit of \(\(a_n\)\) as \(\(n\)\) approaches infinity.

\(\[ \lim_{n \to \infty} a_n = \lim_{n \to \infty} n^2 e^{-n} \]\)

We can use L'Hôpital's rule to evaluate the limit. Taking the derivative of the numerator and the denominator with respect to n, we have:

\(\[ \lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{2n e^{-n} + n^2(-e^{-n})}{-e^{-n}} \]\)

Simplifying further:

\(\[ \lim_{n \to \infty} a_n = \lim_{n \to \infty} (-2n - n^2) \]\)

As n approaches infinity, the term \(\(-2n\)\) dominates the term \(\(-n^2\).\)Therefore, the limit becomes \(\(-\infty\).\)

Hence, the sequence \(\(a_n = n^2 e^{-n}\)\) is divergent.

(b) Let's analyze the sequence \(\(a_n = \frac{\cos(n)}{n^3}\)\) to determine if it is convergent or divergent. Again, we'll find the limit as \(\(n\)\) approaches infinity.

\(\[ \lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{\cos(n)}{n^3} \]\)

The cosine function oscillates between -1 and 1 as \(\(n\)\) increases. However, the denominator \(\(n^3\)\) grows much faster than the numerator. Consequently, the cosine terms become less significant in comparison.

Taking the limit:

\(\[ \lim_{n \to \infty} a_n = \lim_{n \to \infty} \frac{\text{bounded}}{\infty} = 0 \]\)

Therefore, the sequence \(\(a_n = \frac{\cos(n)}{n^3}\)\) is convergent, and it converges to 0.

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Answer:

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

4x + 38 = 10x - 16

The sum of two opposite interior angles is equal to the opposite exterior angle.

4x + 38 = 10x - 16

38 = 10x -16 - 4x

38 = 6x - 16

38 + 16 = 6x

54 = 6x

Divide both sides by 6

x = 9

\(\dfrac{1}{2} z+5=57\)

Subtract 5 from both sides:

\(\dfrac{1}{2} z+5-5=57-5\)

\(\dfrac{1}{2} z=52\)

Multiply both sides by 2:

\(2\times(\dfrac{1}{2} z)=2\times(52)\)

\(\fbox{z = 104}\)

Answer:

z=104

Step-by-step explanation:

1/2z=57-5

1/2z=52

1/2z*2=52*2

1z=104

1/1z=104/1

z=104

p+6p+6

The given phrase : "the total number of pies plus the 6 in the introduction " .

The given phrase : "the total number of pies plus the 6 in the introduction " .The given variable to use for the the total number of pies = p

The given phrase : "the total number of pies plus the 6 in the introduction " .The given variable to use for the the total number of pies = pHere we use the addition sign (+) for plus.

The given phrase : "the total number of pies plus the 6 in the introduction " .The given variable to use for the the total number of pies = pHere we use the addition sign (+) for plus.Therefore, the translated variable expression for thee given phrase.

The given phrase : "the total number of pies plus the 6 in the introduction " .The given variable to use for the the total number of pies = pHere we use the addition sign (+) for plus.Therefore, the translated variable expression for thee given phrase.Total number of pies plus the 6 = p + 6p + 6

Answer:

7.5

Step-by-step explanation:

Answer:

7.2 minutes

Step-by-step explanation: you divide 20/12 and then you should get 1.6. After that you should multiply 1.6 times the 4.5 minutes and you get 7.2 minutes.

Answer:

smallest circle. last option

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

100

Answer:

see explanation

Step-by-step explanation:

(a)

calculate the lengths using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )

JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)

    = \(\sqrt{(3+3)^2+(-8+7)^2}\)

    = \(\sqrt{6^2+(-1)^2}\)

    = \(\sqrt{36+1}\)

    = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )

MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)

      = \(\sqrt{(-1)^2+(-6)^2}\)

     = \(\sqrt{1+36}\)

     = \(\sqrt{37}\)

repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )

PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)

      = \(\sqrt{(-2+8)^2+1^2}\)

      = \(\sqrt{6^2+1}\)

      = \(\sqrt{36+1}\)

      = \(\sqrt{37}\)

(b)

JK ≅ MN ← true

JK ≅ PQ ← true

MN ≅ PQ ← true

Answer:

1 light year \approx 6.02 \times 10^4  astronomical unit

Step-by-step explanation:

ratio

\(=\frac{9.5 \times 10^{12}}{1.5 \times 10^8}\\=\frac{19}{3} \times 10^{12-8}\\\approx 6.01666 \times 10^4 \\\approx 6.02 \times 10^4\)

The number of times that 1 light year is greater than 1 astronomical unit in scientific notification is; 6.33 × 10⁴

We are given;

1 light year = 9.5 × 10^(12) km

1 astronomical unit = 1.5 × 10^(8) km

Thus to find out how many times greater 1 light year is than 1 astronomical unit in scientific notation, we will divide 1 light year by 1 astronomical unit.

This gives;

(9.5 × 10^(12))/(1.5 × 10^(8))

>> (9.5/1.5) × 10^(12 - 8)

>> 6.33 × 10⁴

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Answer:

m = 2, c = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 2x = - 3 ( add 2x to both sides )

y = 2x - 3 ← in slope- intercept form

with slope m = 2 and y- intercept c = - 3

Answer:

hope this helps, (x+2) (x+8)

Step-by-step explanation:

factor x^2 + 10x+16 using the AC Method

Answer:

(x+2)(x+8)

Step-by-step explanation:

Rewrite in factored form  Common factor from the two pairs

Step-by-step explanation:

the slower plane traveled x miles in 4 hours.

the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.

so,

x + x + 320 = 3800 miles

2x =3480 miles

x =1740 miles (in 4 hours) .

that means the slower plane's speed was 435 mph.

and the faster plane's speed was 435 + 80 = 515 mph.

The quadratic regression equation that best fits the data in this problem is given as follows:

y = 0.155x² - 4.074x + 38.910.

To find the quadratic regression equation, we need to insert the points (x,y) into a quadratic regression calculator.

This is the same procedure for any regression equation, but it is determined that a quadratic regression equation should be obtained in this problem.

From the table, the points are given as follows:

(1, 35), (2, 31), (4, 26), (6, 19), (10, 15), (11, 12).

Inserting the points into the calculator, the quadratic regression equation that best fits the data in this problem is given as follows:

y = 0.155x² - 4.074x + 38.910.

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Answer:

See image

Step-by-step explanation:

You need to use a common denominator in order to add fractions. The first fraction can be changed by multiplying by 3/3. The second fraction remains the same. The sum in the third line uses the two fractions with common denominators (both now have a 12 on the bottom). 8/12 can be reduced by dividing 8 and 12 by 4 to get 2/3 see image

The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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If each horizontal line only ever crosses the graph of a function once, the graph is said to be one-to-one.

Only one-to-one functions have an inverse because they only have one-to-one correspondences, meaning that each element from the range corresponds to a single element in the domain.

The horizontal line test can also be applied to a function graph to determine whether it is one-to-one: The graph of a function is said to be one-to-one if each horizontal line crosses it at no more than one place.

A function's inverse is a function that reverses the effects of another function. If x = g(y) whenever y = f(x), then a function g is the inverse of a function f. (y). In other words, applying f and then g is equivalent to not acting at all. This can be expressed as g(f(x)) = x when f and g are combined.

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Answer:

complete this

Step-by-step explanation:

yeah do it

Answer:

interest rate=45.04

I after 8 years=5994

step on step explainaton:

I=PRT

1500=1665×r/100×2

r=45.04

I after 8 years= I=PRT

=1665×45/100×8=5994

Hence, there are 725,760 ways to seat the ten people together in a row, taking into account the two individuals who insist on sitting side-by-side.

If two of the ten people insist on sitting side-by-side, we can consider them as a single entity or a pair. So, essentially, we have nine entities (including the pair) to be seated in a row.

The number of ways to arrange these nine entities in a row is 9!, which is the factorial of 9.

However, within the pair, the two individuals can be arranged in 2! = 2 ways.

Therefore, the total number of ways to seat the ten people together, considering the pair as one entity, is 9! * 2!.

Simplifying this expression:

9! * 2! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 * 2 = 725,760

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

$40.39x

Step-by-step explanation:

hope this helpss!!!

Answer:

3 ÷ 7

Step-by-step explanation:

decimal form : 0.428571

and regular form is literally just 3/7 LOL

Here, we are required to identify the characteristic of the graph which is displayed as a constant or coefficient in the equation y = 2x2 - 5x + 7.

The characteristic of the graph which is displayed as a constant or coefficient is the;

The characteristic of the graph which is displayed as a constant or coefficient is the;y - intercept.

According to the question; the equation

y = 2x2 - 5x + 7. is a quadratic equation.

Consequently, when graphing the equation;

Parameters required include the solutions of the graph (i.e the x - intercepts) and the y - intercept.

The x - intercept can be gotten by setting y to 0 and solving the equation quadratically.

Similarly, the y - intercept is the point which corresponds to the zero point of x.

Therefore, from the equation: y = 2x² - 5x + 7;

When we set x = 0;

y = 7 = constant.

Therefore, the characteristic of the graph which is displayed as a constant or coefficient is the;

y - intercept.

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The vector G can be written in unit vector notation as follows:

G = G magnitude * (cos θ î + sin θ ĵ)

Given: G magnitude = 40.3 units θ = -35.0°

To express G in unit vector notation, we need to find the cosine and sine of -35.0°.

Using trigonometric identities, we have:

cos (-35.0°) = cos(35.0°) ≈ 0.8192 sin (-35.0°) = -sin(35.0°) ≈ -0.5736

Substituting these values into the unit vector notation equation, we get:

G = 40.3 units * (0.8192 î - 0.5736 ĵ)

Therefore, in unit vector notation, G can be written as:

G = 33.00 î - 23.10 ĵ

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Answer:

47% or47/100

Step-by-step explanation:

Multiplication expression used is 16 ×\(\frac{5}{4}\).

A number that when multiplied by a number x results in the multiplicative identity, 1, is known as a multiplicative inverse or reciprocal, indicated by 1/x or x1. A fraction a/b has a multiplicative inverse of b/a. Divide 1 by the real number to obtain the multiplicative inverse of the number. When a number is multiplied by its original number, the multiplicative inverse of that number, or x-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2-1 since it fulfils the formula: 2 x 2-1

2 x \(\frac{1}{2}\)= 1. It is also known as a number's reciprocal.

Given Data

16 ÷ \(\frac{4}{5}\)

Reciprocating,

16 × \(\frac{5}{4}\)

Simplifying,

4(5)

20

Multiplication expression used is 16 ×\(\frac{5}{4}\)

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