2) There are 500 calories in 5 servings of Sour
Patch Kids. How many calories per serving?
How many calories are there in 8 servings?

Answer:

Solution given.

centre (h,k):(-6,1)

radius (r)=2

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+6)²+(y-1)²=2²

(x+6)²+(y-1)²=4 is a required equation of a circle.

Logarithm base  8  of  512  is  3

Answer 3

Answer:

  8

Step-by-step explanation:

If j represents Jack's age, we have ...

  2j +5 = 21

  2j = 16 . . . . . . subtract 5

  j = 8 . . . . . . . . divide by 2

Jack is 8 years old.

Answer:

He only added Sundays run

Step-by-step explanation:

During the time interval (8, 1800) the temperature has the smallest average rate of change that is 225.

In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.

Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.

As per the given information in the question,

A piece of pottery after the kiln is preheated to 200 °F.

Then, let's check for average change at every point:

For point (1, 700)

Rate of change = 700/1 = 700

For point (1.5, 900)

Rate of change = 900/1.5 = 600

For point (2.5, 1300)

Rate of change = 1300/2.5 = 520

For point (5, 1640)

Rate of change = 1640/5 = 328 and,

For point (8, 1800)

Rate of change = 1800/8 = 225

After comparing the value's smallest change, it at the point (8, 1800).

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the answer is 0 because -5 -(-3) equals 8 which cancels out when u add negative 8 :)

The amount in Prateek's account after 10 years, correct to the nearest cent is $1,038,874.90.

Aravinth's father, Prateek, has a superannuation account which currently has a balance of $350 000. He pays $650 per month into the account which is earning 4.8 % p.a. compounded monthly. The amount in Prateek's account after 10 years, correct to the nearest cent is $1,038,874.90.

How to solve for the amount in Prateek's account after 10 yearsFirst, let's find the future value of the current balance of Prateek's superannuation account.Future value of current balance=FV1 = $350,000The monthly interest rate can be calculated as follows:Interest rate per month = Interest rate per annum/12= 4.8/12= 0.004

Therefore, the total number of deposits that Prateek would make over 10 years is calculated as follows:Number of deposits=Total years x number of months=10 x 12= 120The future value of the annuity can be calculated as follows:Future value of annuity= Payment x [(1 + r)n - 1] / r

where r=interest rate per month= 0.004, n= number of deposits=120,

Payment= $650

Future value of annuity= $650 x [(1 + 0.004)120 - 1] / 0.004= $112,455.93

Therefore, the future value of Prateek's superannuation account after 10 years

=FV2= FV1 x (1 + r)n+ Future value of annuity= $350,000 x (1 + 0.004)120 + $112,455.93= $1,038,874.90

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The answer of the given question based on the Compound interest is ,  the value of Prateek's superannuation account will be approx. $105 367.91 .

Given that Prateek has a superannuation account with a balance of $350 000, and he pays $650 per month into the account.

We have to find how much will be in his account after 10 years, correct to the nearest cent.

We will have to use the formula for the future value of an annuity for this problem.

The future value of an annuity is given by the formula:

FV = PMT [((1 + r)n - 1) / r]

Where PMT is the periodic payment, r is the interest rate per period, n is the total number of periods and FV is the future value of the annuity.

To calculate the future value of Prateek's superannuation account we need to find the value of FV, PMT, r and n.

We have been given PMT as $650 per month, r as 4.8% p.a. compounded monthly, n as 10 years (since we have to find the value of the account after 10 years).

We have to convert the interest rate to a monthly rate, since the payments are being made monthly.

r = 4.8% p.a. compounded monthly = 0.048/12

= 0.004FV

= PMT [((1 + r)n - 1) / r]

= 650 [((1 + 0.004)120 - 1) / 0.004]

= 650 [(1.004)¹²⁰ - 1] / 0.004

= $105 367.91

Therefore, after 10 years, the value of Prateek's superannuation account will be approx. $105 367.91, correct to the nearest cent.

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The seventh term of the sequence is 364.5

From the question, we are to determine the seventh term of the sequence

Using the formula,

\(a_{n} = ar^{n-1}\)

Where \(a_{n}\) is the nth term

a is the first term

and r is the common ratio

From the given information,

a = 1/2

r = 3

Thus,

\(a_{7} = (\frac{1}{2}) 3^{7-1}\)

\(a_{7} = (\frac{1}{2}) 3^{6}\)

\(a_{7} = \frac{1}{2} \times 729\)

\(a_{7} = 364\frac{1}{2} \ OR \ 364.5\)

Hence, the seventh term of the sequence is 364.5

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To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.

Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:

z = (x - μ) / σ

where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).

Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:

z1 = (0.015 - 0.039) / 0.008 = -3

z2 = (0.063 - 0.039) / 0.008 = +3

We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.

Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.

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Step-by-step explanation:

8k - 12 = 3

8k = 3 +12

8k = 15

k = 15/8

k = 1.875

Answer:

8k-12=3

8k=3+12 [we equate the negative 12 from LHS and take it to RHS and its value becomes positive there fore 3 +12 is possible]

8k=15

k=15/8[algebraic rule of there is no sign between number and variable there is ment to be multiplication and when the multiply is taken to next sign it becomes division and becomes a denominator]

k=1.875

Answer: 8/9 questions

Step-by-step explanation: 312/36= 8.6...

The answer depends on if you want to round up or down.

Answer:

2 : 5

Step-by-step explanation:

In order to obtain the ratio between numbers, we divide by the largest common factor between both.

In this question, the numbers are;

36 : 90

The largest common faction is 18. Dividing both numbers by 18, we have;

36 / 18 : 90 / 18

2 : 5

The ratio is; 2 : 5

The regression line that forecasts home equity using the FICO credit score as the explanatory variable has the equation Y' = 1798X + 0.

Due to the fact that this linear regression model includes two parameters that need to be estimated from training data, it has two degrees of freedom. One additional column in the data (one additional input variable) would provide the model one extra degree of freedom.

An equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable, represents a linear regression line. A line's intercept (the value of y when x = 0) is equal to the slope of the line, which is b.

Hence we get the required answer.

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Answer:

Mean: 76.42

Population: 7

Mean absolute deviation: 13.06

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

that is what I know and if I'm wrong please tell me right away I'll try it out again thank you

Answer:

5 meters

Step-by-step explanation:

The room is rectangular, so the two walls and the diagonal (distance between opposite corners) form a right triangle.

We can use \(a^2 + b^2 = c^2\) to compute the other wall's length:

\(13^2 = 12^2 + x^2\\169 = 144 + x^2\\25 = x^2\\x = \pm 5\)

The degrees of the terms in the polynomial \(2p^2 + 4p - 5\) are 2, 1, and 0. The degree of the entire polynomial is 2.

The given polynomial is \(2p^2 + 4p - 5.\)The degrees of the terms in the polynomial are as follows:

The term \(2p^2\)has a degree of 2.

The term 4p has a degree of 1.

The term -5 has a degree of 0 (constant term).

The degree of the entire polynomial is determined by the highest degree among its terms. In this case, the highest degree is 2 (from the term\(2p^2).\)Therefore, the degree of the entire polynomial is 2.

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The probability that X, which follows a normal distribution with a mean (u) of 15.2 and a standard deviation (a) of 0.9, falls between 14.3 and 16.1 is approximately 0.6826, or 68.26%.

In a normal distribution, the area under the curve represents probabilities. To find the probability that X falls between 14.3 and 16.1, we need to calculate the area under the curve between these two values.

First, we convert the values to z-scores by subtracting the mean and dividing by the standard deviation. For 14.3, the z-score is (14.3 - 15.2) / 0.9 = -1. The z-score for 16.1 is (16.1 - 15.2) / 0.9 = 1.

Using a standard normal distribution table or a calculator, we can find that the cumulative probability for a z-score of -1 is 0.1587, and the cumulative probability for a z-score of 1 is 0.8413.

To find the probability between these two z-scores, we subtract the cumulative probability for the lower z-score from the cumulative probability for the higher z-score: 0.8413 - 0.1587 = 0.6826.

Therefore, the probability that X falls between 14.3 and 16.1 is approximately 0.6826, or 68.26%.

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The complete question is :

Assume that X has a normal distribution. The mean is u= 15.2 and the standard deviation is a=0.9. Find the probability that X is between 14.3 and 16.1

Responder:

$ 7540

Explicación paso a paso:

Dado que:

Kilogramos totales de papa = 6500

Número de kilogramos por paquete = 25

Precio por paquete = $ 30

La mitad se vendió a $ 30

El resto se vende a ($ 30 - $ 2)

Número total de paquetes de 25 kg:

6500 kg / 25 kg = 260 paquetes

Por lo tanto, paquete total = 260 paquetes

La mitad se vende a $ 30:

(260/2) * 30

130 * $ 30 = $ 3900

Resto vendido a $ 28:

(260 - 130) * $ 28

130 * $ 28 = $ 3640

Cantidad total realizada:

$ (3640 + 3900) = $ 7540

Answer:

= 221

Step-by-step explanation:

Lenght = 250

Width= x

Perimeter = 2 (l+b) = 942

2 x (250 +x) = 942

500 + 2x = 942

2x = 942 - 500= 442

x = 442 /2  = 221

I hope Im right!!

Answer:

slid so far jv da Jim

Step-by-step explanation:

dude Niko for FL B good sl he sl ma cm bcz

The radius of the semicircle that will make the rectangular region a maximum is 40 feet.

The physical fitness room consists of a rectangular region with a semicircle at each end, and the perimeter of the room is a 200ft running track. To maximize the rectangular region, you need to find the radius of the semicircle.

Let the radius of the semicircle be r and the length and width of the rectangle be L and W, respectively. Since there are two semicircles, the total length of their circumferences is equal to the full circle with radius r. Therefore, the perimeter of the room can be expressed as:

Perimeter = L + 2W + πr = 200

To maximize the rectangular area (A = L * W), we should express either L or W in terms of r and use calculus to find the maximum. Let's express W in terms of r:

W = (200 - L - πr) / 2

Now, we can find the area:

A = L * W = L * (200 - L - πr) / 2

To find the maximum area, take the derivative of A with respect to L and set it to zero:

dA/dL = (200 - 2L - πr) / 2 = 0

Solve for L:

L = (200 - πr) / 2

Since L is the length of the rectangle, it must equal the diameter of the semicircles (2r):

2r = (200 - πr) / 2

Solve for r:

4r = 200 - πr
5r = 200
r = 40 ft

Thus, the radius of the semicircle that will make the rectangular region a maximum is 40 feet.

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Answer:

x = 4

Step-by-step explanation:

The steps we need to take:

1. Simplify left side.

2. Separate the variable and its coefficient from constants

3. Divide both sides by the coefficient to find "x

1) Simplify left side.

5(3x - 4) + 12 = 52

15x - 20 + 12 = 52

15x - 8 = 52

2) Separate the variable and its coefficient from constants by adding 8 to both sides.

15x - 8 + 8 = 52 + 8

15x = 60

3) Divide both sides by the coefficient to find x. (the coefficient is the number that comes before the variable)

15x / 15 = 60 / 15

x = 4

Answer:

345 is the answer

Step-by-step explanation:

use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!

The 50th term of this arithmetic sequence will be 9655.

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below.

The first term is 2 and the common difference depending on 'n' will be given as 4n - 3.

Then the 50th term of this arithmetic sequence will be

aₙ = a₁ + (n - 1)d

aₙ = a₁ + (n - 1)(4n - 3)

a₅₀ = 2 + (50 - 1) × (4 × 50 - 3)

a₅₀ = 2 + 49 × 197

a₅₀ = 2 + 9653

a₅₀ = 9655

The 50th term of this arithmetic sequence will be 9655.

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Answer:

Step-by-step explanation:

The line BD divides a right angle into two acute angles <CBD + <DBA

They add to 90.

They are therefore complementary.

The word you are looking for is complementary.

Some landforms made by erosions are:

Caves, bays, and arches.

Some landforms made by deposition include:

beaches, deltas, and sand dunes.

Erosion is caused by weathering, (for example rain) and deposition is caused by sediments or rocks transported by flowing water or ice.

400 grams to mg is 400000 milligrams.

To convert grams to milligrams, multiply grams by 1000. To convert milligrams to grams, divide milligrams by 1000.

The FDA regulates that a fish consumed should contain at most 1 mg/kg of mercury. In Florida, bass fish from 52 different lakes were collected to determine if the mercury levels in the fish exceed the allowable amount.

To assess if there's enough evidence to show that fish in all Florida lakes have a higher mercury level than permitted, we will conduct a hypothesis test using the data collected.
The random variable (X) represents the average mercury level of bass fish in a sampled lake. The population parameter (μ) stands for the true mean mercury level of bass fish in all Florida lakes.
The null hypothesis (H₀) states that the average mercury level in the fish does not exceed the FDA's allowable amount, which means μ ≤ 1 mg/kg. The alternative hypothesis (H₁) claims that the average mercury level in the fish is higher than the FDA's allowable amount, which means μ > 1 mg/kg.
To determine if there is enough evidence to support H₁, we will perform a hypothesis test using the appropriate statistical test and significance level, while considering the sample size and mercury levels collected from the 52 lakes. If the test results lead to the rejection of H₀, we can conclude that there is evidence suggesting the fish in all Florida lakes have a mercury level higher than the allowable amount.

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The force on the first charge is directed at an angle of 81.8° counter clockwise from the positive x-axis.

The total force on the first charge can be found using Coulomb's law and the superposition principle. According to Coulomb's law, the force between two charges is given by:

F = k * (q1 * q2) / r^2

where F is the force,

k is Coulomb's constant (9.0 × 10^9 N · m^2/C^2),

q1 and q2 are the charges of the two objects, and

r is the distance between them.

In this case, there are three charges involved, so we need to find the force on the first charge due to the other two charges. We can do this by finding the force between the first and second charges and the force between the first and third charges, and then adding them together using vector addition.The force between the first and second charges is:

F12 = k * (q1 * q2) / r12^2

where r12 is the distance between the first and second charges.

We can find r12 using the Pythagorean theorem:

r12^2 = (0.2 m)^2 + (0 m)^2 = 0.04 m^2r12 = 0.2 m

The force between the first and third charges is:

F13 = k * (q1 * q3) / r13^2

where r13 is the distance between the first and third charges.

We can find r13 using the Pythagorean theorem:

r13^2 = (0 m)^2 + (0.2 m)^2 = 0.04 m^2r13 = 0.2 m

Now we can use Coulomb's law to find the magnitudes of the two forces:

F12 = (9.0 × 10^9 N · m^2/C^2) * (-3.8 × 10^-4 C) * (8.1 × 10^-4 C) / (0.2 m)^2F12 = -1.202 N (attractive force)F13 = (9.0 × 10^9 N · m^2/C^2) * (-3.8 × 10^-4 C) * (2.8 × 10^-4 C) / (0.2 m)^2F13 = -0.266 N (repulsive force)

The total force on the first charge is the vector sum of F12 and F13. To find the direction of this force, we can use the tangent function:

tan θ = Fy / Fx

where Fy is the vertical component of the force and

Fx is the horizontal component of the force.

We can find these components using trigonometry:

Fy = F12 sin 90° + F13 sin 270° = -1.202 N + (-0.266 N) = -1.468 NFx = F12 cos 90° + F13 cos 270° = 0 N + (0.266 N) = 0.266 N

θ = tan^-1 (Fy / Fx) = tan^-1 (-1.468 N / 0.266 N) = -81.8°

The force on the first charge is directed at an angle of 81.8° counter clockwise from the positive x-axis.

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Answer:

-4/5

Step-by-step explanation:

Rise over run helps, since the line is negative the slop will be to. Just pick a spot that is whole/on the dot, and rise/fall as down or up until the next spot that's whole, then you 'run' over to the point. (Ex. (0,0) (5,4))