Rewrite the the equation in slope-intercept form. Then identify the slope and the y-intercept of the line. I need help on 11.

Answer:

$240

Step-by-step explanation:

To calculate the interest, you need to multiply the principal (the amount financed, $4,000.00) by the interest rate (2%) and the number of years (3).

So, the interest would be: $4,000.00 x 0.02 x 3 = $240.00

The contractor would pay $240.00 in interest over the course of the 3-year financing.

Answer: To find the equation of a line passing through two points, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.

To find the slope, we can use the formula:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, let's plug in the values we have:

m = (-8 - 3)/(-8 - (-10)) = (-8 - 3)/2 = -11/2

Now we can use either point to find the equation. Let's use (-10, 3):

y - 3 = (-11/2)(x - (-10))

y - 3 = (-11/2)x - 55/2

y = (-11/2)x - 49/2

So the equation of the line through (-10, 3) and (-8, -8) is:

y = (-11/2)x - 49/2.

Answer:

dont know sorry

Step-by-step explanation:

sorry :(

Width: 2.62 meters

Length: 7.62 meters

Let x = the width of the rectangle

Let x + 5 = the length of the rectangle

Area of a rectangle: length * width

Area = x(x + 5)

20 = x^2 + 5x

x^2 + 5x - 20 = 0

Factor: (completing the square)

x^2 + x*2*5/2 + (5/2)^2 - (5/2)^2 - 20 = 0

(x + 5/2)^2 - 26.25 = 0

(x + 5/2)^2 = 26.25

x + 5/2 = 5.1234...

x = 2.6234...

The width is approximately 2.62 meters

The length is approximately (2.62 + 5) --> 7.62 meters

Answer:

Less greater

Step-by-step explanation:

Firstly, let's solve:

\(\frac{5}{6}\times2\frac{1}{5}\)

Convert to improper fraction

\(=\frac{5}{6}\cdot \frac{11}{5}\)

Cancel common factor: 5

\(\frac{11}{6}\)

Mixed fraction

\(=1\frac{5}{6}\)

2 1/5 > 1 5/6

Therefore, 1 5/6 is less greater than 2 1/5

~Lenvy~

The parent function of a quadratic equation is f(x) = x². The function that is transformed to the right and down from the parent function with a minimum is given by f(x) = a(x - h)² + k.

The equation has the same shape as the parent quadratic function. However, it is shifted up, down, left, or right, depending on the values of  a, h, and k.

For a parabola to have a minimum value, the value of a must be positive. If a is negative, the parabola will have a maximum value.To find the vertex of the parabola in this form, we use the vertex form of a quadratic equation:f(x) = a(x - h)² + k, where(h, k) is the vertex of the parabola.The vertex is the point where the parabola changes direction. It is the minimum or maximum point of the parabola. In this case, the parabola is transformed to the right and down from the parent function, f(x) = x². Therefore, h > 0 and k < 0.

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Answer:

I think x equals 7.5

Step-by-step explanation:

Please let me know if this was correct or what you were looking for. Thanks!

Answer:

It is A on edge

Step-by-step explanation:

Answer:

g(x) = – f(x – 2)

Step-by-step explanation:

Answer:

2.34

Normally it would be 1.95*6 however since everything is 20% off you need to find 20% of 1.95. You find that by:

Step-by-Solution for What is 20 percent of 1.95: 20 percent *1.95 = (20:100)*1.95 = (20*1.95):100 = 39:100 = 0.39. Now we have 20 percent of 1.95 = 0.39. explanation:

After you find that you multiply it by 6 so it would be 0.39*6 which equals 2.34. I hope this helped! :)

Answer:

I think its the first one

Step-by-step explanation:

Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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The probability that the engine over heats and leaks is 0.0096

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

Probability is a metric used to express the possibility or chance that a particular event will occur. Probabilities can be expressed as fractions from 0 to 1, as well as percentages from 0% to 100%.

Engine leaks oil AND overheats,

hence P(Engine overheats) = P(Engine overheats) X P(Engine leaks oil) = 0.12 X 0.08 = 0.0096

Hence the probability of leaking of engine due to over heating is 0.0096

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Answer:

At Grocery Mart 1 pound of strawberries cost $1.50 and At Baldwin Hills Market 1 pound of strawberries cost $1.30.Hope this helped!

Step-by-step explanation:

Explanation:

Let's go over the possible choices to see which statements are true and which are false.

To summarize, only choice B is true. The rest are false.

To calculate the probability that the first heart it detects with muscle damage is the 8th image geometric distribution should be used.

According to the question medbiz develops and sells medical imaging devices. they are developing a computer program that reads heart images and detects heart muscle damage.

Machine has success rate of 90%

Number of images of hearts with muscle damage = 100

To calculate the probability that the first heart it detects with muscle damage is the 8th image, geometric distribution should be used because  

Geometric distribution is a type of discrete probability distribution that represents the probability of the number of successive failures before a success is obtained in a Bernoulli trial. A Bernoulli trial is an experiment that can have only two possible outcomes, ie., success or failure

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The question is incomplete, the following question is complete:

MedBiz develops and sells medical imaging devices. They are developing a computer program that reads heart images and detects heart muscle damage. Early studies show the machine has a 90% success rate. The programs is shown 100 images of hearts with muscle damage. What distribution should be used to calculate the probability that the first heart it detects with muscle damage is the 8th image?

binomial distribution

geometric distribution

hypergeometric distribution

none of the other choices

Answer:

The answer is Forty Four Point Three recurring (44.3)

Answer: The answer would be $15.50 per basketball

Step-by-step explanation:

If mike bought 4 basketball for 62 dollars you have to divide 62 and 4. Which equals 15.5 so in dollars it would be 15 dollars and 50 cents or $15.50.

An equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

For given question,

We need to find an equation of ellipse having foci (0, 3), (0, 7), vertices (0, 0), (0, 10)

The x -coordinates of the vertices and foci are the same, so the major axis is parallel to the y -axis.

Thus, the equation of the ellipse will have the form

\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)

First, we identify the center,  (h, k) . 

The center is halfway between the vertices, (0, 0), (0, 10)

 Applying the midpoint formula, we have:

\(\Rightarrow (h,k)=(\frac{0+0}{2} ,\frac{0+10}{2} )\\\\\Rightarrow (h,k)=(0,5)\)

Next, we find  a² . 

The length of the major axis,  2a , is bounded by the vertices.

We solve for  'a'  by finding the distance between the y-coordinates of the vertices.

⇒ 2a = 10 - 0

⇒ 2a = 10

⇒ a = 5

⇒ a² = 25

Now we find  c² . 

The foci are given by  (h, k ± c)

So,  (h, k - c) = (0, 3) and  (h, k + c) = (0, 7)

k - c = 3

k + c = 7

After solving above system of equations we have,

c = 2 and k = 5

So, c² = 4

Next, we solve for  b²  using the equation  c² = a² - b²

⇒ 4 = 25 - b²

⇒ b² = 25 - 4

⇒ b² = 21

Now, we substitute the values found for  h, k, a², and  b²  into the standard form equation for an ellipse:

\(\Rightarrow \frac{(x-0)^2}{25}+\frac{(y-5)^2}{21}=1\\\\\Rightarrow \frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

Therefore, an equation for the ellipse that satisfies the given conditions is  \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)

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Answer:

So we know the shop spent $250 on equipment and they also purchased 300 T-shirts  for $2 each.

Knowing this, we only have to add to the $250, what they have paid for the  T-shirts.

So if each T-shirt is purchased by $2 and they have bought 300, we multiply:

2 * 300 = $600

So we add the $600 spent on T-shirts to the $250:

600 + 250 = $850

We could also have done it with by replacing T for 300 in C = 2T + 250:

C = 2*300 + 250 --> C = 600 + 250 --> C = $850

Answer:

Step-by-step explanation:

You want the next three terms of sequences in which the first few terms are given.

It is often useful to look at the differences of terms in a given sequence. If these "first differences" are constant, they can be used to predict the next terms.

If the "first differences" are not constant, finding the difference of those can give additional clues as to the nature of the sequence. If these "second differences" are constant, the sequence is quadratic, and these second differences can be used to predict additional terms.

If the differences have a common ratio, then the sequence is exponential.

If the differences are not constant, and the sequence is not exponential, then there is no simple way to predict additional terms. They can be anything you like, and a function can be written that would predict your chosen values.

The common difference is 9-2 = 7. Additional terms will each be 7 more than the previous term. The next three terms are 37, 44, 51.

The common difference is 44-49 = -5. Each term is 5 less than the previous one. The next three terms are 24, 19, 14.

We recognize these as the sequence of square numbers: 1², 2², 3², 4², 5². The next three terms are 6², 7², 8², or 36, 49, 64.

The common difference is -3-(-5) = 2. Each term is 2 more than the previous one. The next three terms are 3, 5, 7.

The first differences are 2, 2, 2, 4. These are not constant, nor are the second differences constant. Nor is there a common ratio. The next term cannot be predicted, so can be anything you want it to be.

__

Additional comment

The process of writing a function that gives the values of a particular sequence is called "interpolation." An interpolation function can be written for any arbitrary sequence. For an arithmetic sequence, the function is linear. For a quadratic sequence, quadratic. For an exponential sequence, the usual interpolating methods may or may not give an exponential function, depending on which one(s) you use.

The point is that any sequence can be described by some function. The next three terms are not "set in stone." (Usually, we want the simplest function that will describe the sequence.)

Sequence 5 would be an arithmetic sequence with a common difference of 2 if the last term shown were 6 instead of 8. No exponential sequence will ever contain a value of 0. The sequence cannot be exponential, even though the last three terms make it appear to have a common ratio of 2.

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

Answer:

See Explanation

Step-by-step explanation:

According to The Question,

Given That, On a coordinate plane, ΔPQR and ΔSTU are shown. ΔPQR has points (4,4) , (-2,0) , (-2,4). ΔSTU has points (2,-4) , (-1,-2) , (-1,-4).

The distance between two points on the coordinate plane is given as:

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

IQRI = \(\sqrt{(-2_{}-(-2)_{})^{2} + (4_{}-0_{})^{2} }\) = 4

IPQI = \(\sqrt{(-2_{}-4_{})^{2} + (0_{}-4_{})^{2} }\) = √52

IPRI = \(\sqrt{(-2_{}-4_{})^{2} + (4_{}-4_{})^{2} }\) = 6

ISTI = \(\sqrt{(-1_{}-2_{})^{2} + (-2_{}-(-4)_{})^{2} }\) = √13

ISUI = \(\sqrt{(-1_{}-2_{})^{2} + (-4_{}-(-4)_{})^{2} }\) = 3

ITUI = \(\sqrt{(-1_{}-(-1)_{})^{2} + (-4_{}-(-2)_{})^{2} }\) = 2

Now, Verifying that the triangles are similar  

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2  

|PQ| / |ST| = √52 / √13 = 2

Hence,   |QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

Answer: the answer is Complete the statements to verify that the triangles are similar.

StartFraction Q R Over T U EndFraction = ✔ 2

StartFraction P R Over S U EndFraction = ✔ 2

StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction = ✔ 2

Therefore, △PQR ~ △STU by the ✔ SSS similarity

theorem.

Step-by-step explanation: it is show down below.

Answer:

the teachers would have 24 students per teacher. 10 students per tutor. There would need to be 11 tutors

Step-by-step explanation:

each tutor would have 10 students then if you do 11 times 10 you get 11

(hope this helps can I pls have brainlist (crown)☺️)

E(U) = 4, which is an integer.

What is Linearity of expectation?

Linearity of expectation is a fundamental property of expected value that states that the expected value of a sum or difference of random variables is equal to the sum or difference of their individual expected values.

To find E(U), where U = 2X - Y - 4, we can use the properties of expected value.

First, let's find the expected values of 2X, Y, and 4 separately using the linearity of expectation:

E(2X) = 2E(X) = 2 * 6 = 12

E(Y) = 4 (given)

E(4) = 4

Now, let's calculate the expected value of U:

E(U) = E(2X - Y - 4)

Since expected value is a linear operator, we can rearrange and simplify the expression:

E(U) = E(2X) - E(Y) - E(4)

= 12 - 4 - 4

= 4

Therefore, E(U) = 4, which is an integer.

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In Python, the double asterisk (**) operator is used for exponentiation or raising a number to a power.

When you write 5 ** 2, it means "5 raised to the power of 2", which is equivalent to 5 multiplied by itself.

The base number is 5, and the exponent is 2.

The double asterisk operator (**) indicates exponentiation.

The number 5 is multiplied by itself 2 times: 5 * 5.

The result of the expression is 25.

So, 5 ** 2 evaluates to 25.

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To sketch the curves in the z-plane and their images under w = z², we analyze each equation individually. For (a), (b), (c), and (d), the curves are lines or circles in the z-plane.

The equation |z - 1| = 1 represents a circle centered at (1, 0) with radius 1 in the z-plane. Under w = z², the circle transforms into a parabolic shape. The equation x = 1 represents a vertical line at x = 1 in the z-plane. Under w = z², the line transforms into a parabola that opens to the right. The equation y = 1 represents a horizontal line at y = 1 in the z-plane. Under w = z², the line transforms into a parabola that opens upwards.

The equation y = x + 1 represents a straight line with a slope of 1 and y-intercept at (0, 1) in the z-plane. Under w = z², the line transforms into a parabola. The equation y² = x² - 1, x > 0 represents the right branch of a hyperbola in the z-plane. Under w = z², the hyperbola transforms into a parabolic shape.  The equation y = 1/x, x ≠ 0 represents a rectangular hyperbola in the z-plane. Under w = z², the hyperbola transforms into a curve that consists of two branches. By analyzing the transformations under w = z², we can visualize how the curves in the z-plane are mapped to the w-plane.

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The expected number of coins that are heads at the end after Jennifer has tossed 64 fair coins and those that landed on tails were tossed again is 32. the expected number of coins that are heads at the end is 48.

Here is a detailed explanation:Jennifer tosses 64 coins, and each coin has an equal chance of landing on either heads or tails. Thus, the probability that any one coin lands on heads is 0.5, and the probability that it lands on tails is also 0.5.When Jennifer tosses the 64 coins, some of them will land on tails.

Those coins will be tossed again. However, the probability of getting heads or tails for these coins is still 0.5 since the coins are fair.Therefore, the probability that a coin that has already been tossed and landed on tails to land on heads the second time is also 0.5.

The same applies to the third toss. The probability that a coin will land on heads or tails is 0.5.The total number of coins that land on tails during the first toss is given by

64*0.5 = 32.

Since these coins are tossed again, the expected number of coins that land on tails for the second toss is given by

32*0.5 = 16.

The remaining coins that landed on heads during the first toss are not affected. Thus, the expected number of coins that landed on heads during the first toss is

64 - 32 = 32.

The total number of coins that landed on heads during the first toss is given by 32.

Adding the expected number of coins that land on heads during the second toss (16),

the expected number of coins that land on heads is

32 + 16 = 48.

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