Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What is the distance between points F and G? F G -5 -4 -3 -2 -1 0 1 2 3 4 5 The distance between F and G is​

Answer:

N = 82

Step-by-step explanation:

(N - 49)/11 = 3

N - 49 = 33

N = 82

Answer:

Amount of Niobium-91 initially

= 300/91 =3.2967mol

2040 years = 3 ×680 = 3 half-lives

therefore, amount left = 0.4121mol

mass of Niobium-91 remaining = 0.4121 ×91 =37.5g

Please give brainliest

Chad can divide the rope of 12 yard into (b) 28 pieces

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

Length of rope = 12 yards

Piece of rope = 3/7 of a yard

The number of the division of the rope is calculated as

Count = Length of rope/Piece of rope

Substitute the known values in the above equation, so, we have the following representation

Count = 12/(3/7)

Evaluate

Count = 28

Hence, the number of pieces is (b) 28

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The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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Answer: Annette will take 6 hours to do the entire job alone.

Step-by-step explanation:

Given: Time taken by Kelly to do \(\dfrac{1}{5}\) of job = 2 hours

i.e. Time for complete job done alone by Kelly =\(5\times2=10\ hours\)

Rest of work = \(1-\dfrac{1}{5}=\dfrac{4}{5}\) of the job

\(\dfrac{4}{5}\)  of the complete job done by both Kelly and Annette in 3 hours

Time would be taken by then to do entire job together = \(3\times\dfrac{5}{4}=3.75\ hours\)

Let t be the time taken by Annette to do job alone.

Then, as per situation

\(\dfrac{1}{3.75}=\dfrac{1}{10}+\dfrac{1}{t}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{3.75}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{4}{15}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow\ t=6\)

hence, Annette will take 6 hours to do the entire job alone.

In performing hypothesis tests about the population mean, a t-test can be used if the population standard deviation is not known and the sample is random.

The conditions of a random sample and unknown population standard deviation are necessary for the t-test to be applicable.

When conducting hypothesis tests about the population mean, if the population standard deviation is unknown, the t-test is appropriate to use. The t-test is specifically designed for situations where the population standard deviation is not known and must be estimated from the sample. By using the sample data, the t-test calculates a test statistic called the t-value, which is used to determine the statistical significance of the mean difference.

However, it is important to note that in addition to the unknown population standard deviation, the sample must also be random for the t-test to be valid. Random sampling helps ensure that the sample is representative of the population, which is crucial for making accurate inferences. Therefore, options (b) "the sample is random" and (d) "the population is normally distributed" are the correct conditions for using a t-test when the population standard deviation is unknown.

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Answer:

I don't know.

Step-by-step explanation:

I don't know.

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Hey does this help you by any chance

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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The given undirected, weighted graph consists of various nodes connected by edges with corresponding weights. To draw the graph, we represent each node as a vertex and connect them with edges labeled with their respective weights.

To find the minimal spanning tree (MST) on the 5 by 5 square of nodes, we need to select the subset of edges that connect all the nodes with the minimum total weight.

a) Drawing the weighted graph: Based on the given edge list, we draw the graph by representing each node as a vertex and connecting them with edges labeled with their corresponding weights. We consider the nodes A, B, C, D, ..., and draw the edges with the respective weights between the corresponding vertices.

b) Drawing the minimal spanning tree (MST): To find the MST on the 5 by 5 square of nodes, we need to select the subset of edges that connect all the nodes with the minimum total weight. Starting from any node, we choose the edge with the minimum weight to connect it to another node. We continue this process, ensuring that we do not form cycles and include all the nodes until we have connected all the nodes with the minimum total weight.

By considering the weights and following the process described above, we draw the minimal spanning tree on the 5 by 5 square of nodes, connecting them with the minimum weight edges.

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Answer:

4(x-2)^2

Step-by-step explanation:

4x^2 -16x + 16

= 4(x^2 - 4x +4)

= 4(x - 2)^2  because a^2 - 2ab + b^2 = (a - b)^2

Answer:

The answer is 4(x-2)(x-2) or 4\((x-2)^2\)

Step-by-step explanation:

\(4x^2\)-16x+16

There is a common factor of 4. Factor 4 out.

4( \(x^2\)-4x+4)

Now, there is no factor in front of x, so seperate the equation into two parts, with one x on both sides:

(x ____) (x____)

The constant (4) is positive. Ways to multiply to get positive numbers:

negative x negative or

positive x positive.

Since (-4x) is negative, try with negative numbers first.

(x- ___ ) (x- ___)

Factors of 4 = 1,2,2,4

4 and 1 would combine to give 5.

2 and 2, however, work!

(x-2)(x-2)

FOIL.

x^2-2x-2x+4

x^2-4x+4

The answer is 4(x-2)(x-2) or 4\((x-2)^2\)

Answer:

1,360,000

Step-by-step explanation:

1,700,000-340,000 = 1,360,000 or 1.36×10^5

Answer: The quadrilateral is not a parallelogram.

Step-by-step explanation:

Slope of any line = (Change in y)/(Change in x)

Slope of LM = (9-6)/(5-(-1)) = 3/6 = 1/2

Slope of LN = (2-6)/(0-(-1)) = -4/1 = -4

Slope of LP = (-2-6)/(-8-(-1)) = -8/-7 = 8/7

Slope of MN = (2-9)/(0-5) = -7/-5 = 7/5

Slope of MP = (-2-9)/(-8-5) = -11/-13 = 11/13

Slope of NP = (-2-2)/(-8-0) = -4/-8 = 1/2

Since slopes of LM and NP are the same, they are parallel lines.

Parallelograms have two sets of parallel lines. However, there only exists one set of parallel lines for this quadrilateral. Thus, this quadrilateral is not a parallelogram.

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Paul made $70 shoveling snow and $25 salting driveways. He set 35% of his total earnings aside for taxes. How much did he set aside for taxes?

\( \huge{ \rm{Answer:}}\)

33.25

Step-by-step explanation:

= 35% x (70 + 25)

= 0.35 x (70 + 25)

= 0.35 x 95

= 33.25

HOPE THIS HELPS^^

The acceleration of the car at t = 1/2 is -180 km/h^2.

To find the derivative of the function f(x) = 4√x + 2x^(1/2) - 8x^(7/8) + 1^2 - 2^2 + 2, we will differentiate each term separately using the rules of differentiation.

First, let's find the derivative of each term:

d/dx (4√x) = 4 * (1/2) * x^(-1/2) = 2x^(-1/2)

d/dx (2x^(1/2)) = 2 * (1/2) * x^(-1/2) = x^(-1/2)

d/dx (-8x^(7/8)) = -8 * (7/8) * x^(7/8 - 1) = -7x^(-1/8)

d/dx (1^2) = 0

d/dx (2^2) = 0

d/dx (2) = 0

Now, we can add up the derivatives of each term to find the derivative of the entire function:

f'(x) = 2x^(-1/2) + x^(-1/2) - 7x^(-1/8)

For Question 3, let's find the time when the car's speed becomes 10 km/h using the given formula L(t) = at - bt^2.

Given: b = 90 km/h^2

To find the value of a, we can differentiate the formula L(t) with respect to t and equate it to the initial speed of the car:

dL(t)/dt = a - 2bt

At t = 0 (initial moment), the speed is 100 km/h:

dL(t)/dt = 100

Substituting the values:

a - 2b * 0 = 100

a = 100

So, we have found that a = 100 km/h.

Now, let's find the time when the car's speed becomes 10 km/h:

dL(t)/dt = 10

Substituting the values:

100 - 2 * 90 * t = 10

Simplifying the equation:

100 - 180t = 10

-180t = 10 - 100

-180t = -90

t = (-90)/(-180)

t = 1/2

Therefore, at t = 1/2, the car's speed becomes 10 km/h.

To find the acceleration of the car at that moment, we can differentiate the formula L(t) = at - bt^2 with respect to t:

d^2L(t)/dt^2 = -2b

Substituting the value of b:

d^2L(t)/dt^2 = -2 * 90

d^2L(t)/dt^2 = -180

So, the acceleration of the car at t = 1/2 is -180 km/h^2.

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Domain f(x) = 23, 7, -9 for range of { -7, 1, 9}

The domain is f(x) = -2x + 9, and the range of the function is {-7, 1, 9}

To find the domain of the function we have to put the value of x as -7, 1, and 9.

Put x = -7 we have

f(x) = -2x + 9

     = -2(-7) + 9

     = 14+9

     = 23

Now x = 1

f(x) = -2(1) + 9

     = -2+9

     = 7

Now x = 9

f(x) = -2(9) + 9

     = -18 + 9

     = -9

Therefore we get the domain of function as 23, 7, -9 for the range {-7, 1, 9}.

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Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

The probability of the sets are solved and

a) n(P U Q) = 85%

b) n(P ∩ Q) = 20%

c) n(only P) = 35%

d) n(only Q) = 30%

Given data ,

P and are the subsets of universal set U

And , n (p) = 55% n (Q) = 50% and n(PUO)complement = 15%

Now , we'll use the formula for the union and intersection of sets:

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(only P) = n(P) - n(P ∩ Q)

n(only Q) = n(Q) - n(P ∩ Q)

We're given that:

n(P) = 55%

n(Q) = 50%

n(P U Q)' = 15%

To find n(P U Q), we'll use the complement rule:

n(P U Q) = 100% - n(P U Q)'

n(P U Q) = 100% - 15%

n(P U Q) = 85%

Now we can substitute the values into the formulas above:

(i)

n(P U Q) = n(P) + n(Q) - n(P ∩ Q)

n(P ∩ Q) = n(P) + n(Q) - n(P U Q)

n(P ∩ Q) = 55% + 50% - 85%

n(P ∩ Q) = 20%

(ii)

n(P ∩ Q) = 20%

(iii) n(only P) = n(P) - n(P ∩ Q)

n(only P) = 55% - 20%

n(only P) = 35%

(iv)

n(only Q) = n(Q) - n(P ∩ Q)

n(only Q) = 50% - 20%

n(only Q) = 30%

Hence , the probability is solved

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Therefore, the babies' names in order are Janie, Kelsie, Klyde, James, and Kevin.

Based on the given clues, Ingrid can deduce the correct names for each baby as follows:

Baby 1: Janie (girl) - The crib has a "j" on it, and Janie is one of the only two girl names.

Baby 2: Kelsie (girl) - One of the only two girl names remaining, and baby 2 and 5 are twins with names starting with the same letter.

Baby 3: Klyde (boy) - Baby 3 is a boy, and Klyde is lying next to Kelsie.

Baby 4: James (boy) - The remaining boy name.

Baby 5: Kevin (boy) - The remaining boy name and the twin of baby 2.

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Answer:

1/6 = 60/360

Step-by-step explanation:

The circle is split into 6 parts and a circle equals 360°

1/6 = x/360

Cross Multiply...

6x = 360

Divide to isolate x...

x = 60

The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

A circle is divided into equal parts. An angle turns through one of the parts, as shown below.

Then the equation shows a way to get the measure of the angle that will be

The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.

Let x be the angle of each section.

Then the ratio of the area of the complete circle and one-sixth circle. Then we have

A₁ = 6A₂

Then we have

A₂ / A₁ = [(x/360) πr²] / [πr²]

A₂ / 6A₂ = x / 360

1 / 6 = x / 360

Then the value of x will be

x = 60°

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In order to calculate the correlation between two variables related to the same sample you need to calculate first the mean of each variable.

Before determining the correlation, the covariance of the two variables in the issue must always be computed. The standard deviation of each variable is then needed. The correlation analysis is calculated by dividing the covariance even by combination of a standard deviations of two or more variables.

A correlation is a statistical measurement of the two-variable connection. The measure works best with parameters that have a linear connection with one another.

The degree of the relationship between two variables is examined using correlation. To get the correlation between two variables, divided the covariance value by the standard deviation of both variables. Correlation analysis for two variables in the same sample should be performed. If you run a survey with two factors, a responder should be able to answer both variables at a glance. Furthermore, other participants' replies to the parameter might be evaluated for a correlation test.

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Answer: LOOK below

Step-by-step explanation:

The length of BC in the triangle is 24 units.

The triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal to each other and two angles equal to each other.

Therefore, let's find the length BC in the triangle as follow.

The two legs of the triangle are equal.

x + 8 = 2x - 1

x - 2x = -1 - 8

-x = -9

x = 9

Therefore,  let's find length BC as follows:

BC = 3x - 3

BC = 3(9) - 3

BC = 27 - 3

Hence,

BC = 24

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The exact value of 2 sin²60° x tan 30° is 1/2.

Evaluate sin²60°. Since sin 60° = √3/2, we square it to get sin²60° = (√3/2)² = 3/4.

Evaluate tan 30°. Since tan 30° = sin 30° / cos 30°, and sin 30° = 1/2 and cos 30° = √3/2, we have tan 30° = (1/2) / (√3/2) = 1/√3 = √3/3.

Multiply the two values: 2 sin²60° x tan 30° = 2 * (3/4) * (√3/3) = (6√3)/12 = √3/2.

Simplify the expression: √3/2 can be written as (√3/2) * (2/2) = √3/4.

Further simplify: (√3/4) can be written as (√3/4) * (4/4) = √3/4.

Finally, √3/4 is equal to 1/2 * (√3/2), and since (√3/2) is equal to sin 60°, we can rewrite it as 1/2 * sin 60° = 1/2 * (√3/2) = 1/2.

Therefore, the exact value of 2 sin²60° x tan 30° is 1.

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Regenerate response

Answer:

103

Step-by-step explanation:

89+97+112+104+113=515

515÷5=103

103 is the final answer, hoped this helped.

Tyrone needs to work as a host for 12 hours to earn enough money to buy the guitar.

Let x be the number of hours Tyrone works as a host in the next week. Then, the total amount earned by Tyrone next week is given by:

Total earnings = (hours worked as cashier × rate per hour) + (hours worked as host × rate per hour)

We know that Tyrone will work as a cashier for 18 hours, so the total amount he will earn is: 18 × $7.95 = $143.10We also know that the total cost of the guitar is $238.50.Thus, the amount of money Tyrone still needs to earn is:$238.50 - $143.10 = $95.40

To find out how many hours Tyrone needs to work as a host, we need to use the rate per hour, which is $7.95 per hour. Let x be the number of hours he works as a host. Then, the total amount he earns from working as a host is:$7.95xSo, we need to solve the equation:$7.95x = $95.40. Dividing both sides by $7.95 gives us :x = 12Therefore, Tyrone needs to work as a host for 12 hours to earn enough money to buy the guitar.

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Answer:

A. $0.75

Step-by-step explanation:

0.75×2=1.50 (1.50 price of 2 hotdogs)

4-1.50= 2.50 (2.50 is the price of 2 sodas)

1.50 + 2.50= $4