find th circumference of a circle if the radius is 12m

a. The approximate value of the y-intercept is

b. The approximate value of the slope is

c. The expected number of cones of ice cream when the temperature is 30°C is 90°C.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (100 - 60)/(45 - 5)

Slope (m) = 40/40

Slope (m) = 1

At data point (5, 60) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 60 = 1(x - 5)  

y = x - 5 + 65

y = x + 60

Part a.

Based on the equation above, the y-intercept is equal to 60.

Part b.

Based on the equation above, the slope is equal to 1.

Part c.

In this scenario, the expected number of cones of ice cream when the temperature is 30°C;

y = x + 60

y = 30 + 60

y = 90°C.

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Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

Answer: 2

Steps: You can find the sides using the proportional way. As in the question it is already said the triangles are similar so they have one value that can be added/subtracted/divided/multipled in order to find either of a length. The bigger triangle, if you divide each side by 4, the answer comes.

16/4 = 4 or AB/4 = DE

12/4 = 3 or CB/4= EF

8/4 = 2 or AC/4= DF

So 2 is the length of side DF.

Answer:

The correct answer would be 2

Step-by-step explanation:

You first want to find your Scale factor which would be 12/3 (simplifyed: 4/1). Then you would want to find the side that corresponds with x, which would be 8 and put in fraction form with x at the bottom. Next you want to cross mutiply the two fraction ( 4/1 and 8/X ) to get the equation 4x=8. Then you divide both sides by 4 to get your answer: 2.

Answer:

3zx-15z+12x-60

Step-by-step explanation:

first do parenthesis and distribute (z+4)(x-5) into zx-5z+4x-20

then distribute the 3 to get the answer

Answer:

0, -3.

Step-by-step explanation:

12x(x+3)=0

Either 12x = 0 or (x + 3) = 0

x = 0/12 or x = -3

So, x = 0 or x = -3

Answer:

it is too blury to read

Step-by-step explanation:

Answer:

x = 5.1 and x = 1.4

Explanation:

When we have an equation with the form:

ax²+bx+c=0

The solutions of the equation can be calculated using the following equation:

So, our equation is 2x²-13x+14=0 where a is 2, b is - 13 and c is 14. Then, the solutions are:

Therefore, the solutions to the nearest tenth are 5.1 and 1.4

a) The 95% confidence interval for the mean length of the skulls of this species of bird is (5.35, 6.01) cm.

b) The 95% confidence interval for the true standard deviation of the skull length of the given species of bird is (0.18, 0.40) cm.

(a) To find a 95% confidence interval for the mean length of the skulls of this species of bird, we can use the following formula:

mean ± (t-score * standard deviation / square root of sample size)

Where mean is the sample mean (5.68 cm), standard deviation is the sample standard deviation (0.29 cm), and sample size is the number of skeletons (10).

To find the t-score, we can use the t-distribution table for 9 degrees of freedom (sample size - 1). For a 95% confidence interval, the t-score with 9 degrees of freedom is 1.833.

Plugging in the values, we get:

5.68 ± (1.833 * 0.29 / √(10))

= 5.68 ± 0.33

So the 95% confidence interval for the mean length of the skulls of this species of bird is (5.35, 6.01) cm.

(b) To find a 95% confidence interval for the true standard deviation of the skull length of the given species of bird, we can use the following formula:

standard deviation / √(sample size) * t-score

Where standard deviation is the sample standard deviation (0.29 cm), and sample size is the number of skeletons (10).

To find the t-score, we can use the t-distribution table for 9 degrees of freedom (sample size - 1). For a 95% confidence interval, the t-score with 9 degrees of freedom is 2.306.

Plugging in the values, we get:

0.29 / √(10) * 2.306

= 0.11

So the 95% confidence interval for the true standard deviation of the skull length of the given species of bird is (0.29 - 0.11, 0.29 + 0.11) = (0.18, 0.40) cm.

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Answer:

No

Step-by-step explanation:

10 is not less than 6, so 10 < r when r=6 is not true.

The equation of the line containing the paints A and B is y = -1/3x + 4

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

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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Answer:

point

Step-by-step explanation:

the dot has no connectives or no paths

The best describes the geometric figure is a point. SO option B is correct.

A line segment is a part of a line that connects two points which are considered to be its endpoints.

If points A and B are connected by a series of points that extended infinitely in opposite direction then AB is a line.

Therefore, The best describes the geometric figure is a point. SO option B is correct.

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Answer:$158,488

Step-by-step explanation:

We have P0=$375,000,r=0.03,k=12,N=25, so substituting in the numbers into the formula gives

$375,000=d(1−(1+0.0312)−25⋅12)(0.0312),

that is,

$375,000=210.87645d⟹d=$1,778.2924.

To calculate the total interest, we have

$1,778.2924×25×12−$375,000=$158,488.

Answer: $1778.29

$375000 = 210.878645d > d = $1778.29

To calculate the circumference of a circle, you can use the formula:

\(\displaystyle C=2\pi r\)

Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.

Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:

\(\displaystyle C=2\pi (8)\)

Simplifying the expression:

\(\displaystyle C=16\pi \)

Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.

Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The first term in our sequence = 2

The common ratio = 6 / 2 = 3

n = the term we want to find.

2 * (3)^(n - 1)

2 * (3)^(20 - 1)

2 * (3)^(19)

2 * 1162261467

2324522934 is the 20th number in the series.

Answer:

45

Step-by-step explanation:

19+26 fences equal 45

Answer:

Just Assume that the transverse axis is horizontal

Solving a system of equations we will see that Edmund will plant 4 yellow tulips and 8 white lilies.

Let's define our variables as:

We know that for each yellow tulip he will plant two white lilies, then:

y  = 2x

And we also know that he wants to plant 12 flowers, so:

x + y = 12

Then we have a system of equations:

x + y = 12

y  = 2x

Substituting the second equation into the first one, we will get:

x + 2x = 12

3x = 12

x = 12/3

x = 4

Then the value of y is:

y = 2x

y = 2*4 = 8

Then he will plant 4 yellow tulips and 8 white lilies.

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The expression to calculate the average rate in the interval 3\(\frac{f(5)-f(3)}{5-3}\)From the table f(5)=40 and f(3)=10.

Thus, the average rate of change in the function over the interval 3 to 5 is 15.

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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Answer:

0.979%

Step-by-step explanation:

Given that:

Estimated value = 825 ;

Actual value = 817

Percentage error:

(|Estimated value - Actual value| ÷ actual value) * 100%

(|825 - 817| ÷ 817) * 100%

(8 / 817) * 100%

0.0097919 * 100%

= 0.979%

= 1% (nearest percent)

Answer:

-10x+25

Step-by-step explanation:

−5(2x−5)

=(−5)(2x+−5)

=(−5)(2x)+(−5)(−5)

=−10x+25

Answer:

$47.51

Step-by-step explanation:

Answer:

47.51

Step-by-step explanation:

86.25 - (30.75 + 7.99) = 47.51

Answer:

2r+2=10

Step-by-step explanation:

R is 4

u would do 2*4

that equals 8

next add 2+8

you get 10

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

Teachers are the one that teach the doctors how to do their profession. They are both critical parts of society and should both be respected. Though doctors work with patients and determine what problems they have and how to help solve them. They work on treatments and can reassure patients in tough situations. They only goal is to help others and keep everyone has happy and healthy as possible.

Answer: A C E

Step-by-step explanation:

y = -1x-2 is the perpendicular line of the given line y - 1 = {(x+2).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The product of slope of perpendicular lines will be equal to minus one.

y-1=x+2 the line has a slope of +1.

The slope of the perpendicular line will be -1.

y = -1x-2 is the perpendicular line of the given line y - 1 = {(x+2).

Hence,  y = -1x-2 is the perpendicular line of the given line y - 1 = {(x+2).

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The cosine value is given as follows:

\(\cos{\theta} = \frac{4\sqrt{23}}{23}\)

The tangent value is given as follows:

\(\tan{\theta} = -\frac{\sqrt{7}}{4}\)

First we must obtain the secant value, according to the identity presented as follows:

\(\sec^2{\theta} = 1 + \tan^{2}{\theta}\)

Replacing the tangent into the expression, we have that:

\(\sec^2{\theta} = 1 + \frac{7}{16}\)

\(\sec^2{\theta} = \frac{23}{16}\)

\(\sec{\theta} = \frac{\sqrt{23}}{4}\)

The secant is positive, as the angle is in the fourth quadrant, where the cosine is positive.

The cosine is then given as follows:

\(\cos{\theta} = \frac{1}{\sec{\theta}}\)

\(\cos{\theta} = \frac{4}{\sqrt{23}} \times \frac{\sqrt{23}}{\sqrt{23}}\)

\(\cos{\theta} = \frac{4\sqrt{23}}{23}\)

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