1. Write the equation of the line in slope-intercept with a slope of 1 and passing through the (0,-1)2. Write the equation of the line in slope-intercept with a slope of 4 passing through the (-2,1)please help with atleast one problem i need help asap

Step-by-step explanation:

the key are always the 2 numbers in the middle.

you add number 2 to number 1 and put the result on top.

and you subtract number 2 from number 1 and out that result at the bottom.

starting with the example 3, -10 :

3 + -10 = 3 - 10 = -7 (goes on top).

3 - - 10 = 3 + 10 = 13 (goes at the bottom)

5, -3

5 + -3 = 5 - 3 = 2 (top)

5 - -3 = 5 + 3 = 8 (bottom)

18, ...

here we have the answers and need to find the original number.

let's call the missing number x.

I think 58 was put by you there and was originally empty. because 58 is not fitting to 22 below.

so,

18 - x = 22

x = 18 - 22 = -4

the missing number in the middle is -4.

and so the top is

18 + -4 = 18 - 4 = 14

two empty spots in the middle.

let's call the 2 missing numbers there x and y.

because the top and bottom numbers are given, we know :

x + y = -4

x - y = 8

x = y + 8

and we use this in the first equation :

y + 8 + y = -4

2y + 8 = -4

2y = -12

y = -6

x = y + 8 = -6 + 8 = 2

so, the 2 middle numbers from left to right are 2 and -6

Answer:

a-4

Step-by-step explanation:

Answer:

15,000cm^2

Step-by-step explanation:

Given data

Dimension of a card

Length= 15cm

Widht= 10cm

Area= 15*10= 150cm^2

Now if 1 card covers area of 150cm^2

the 100 cards will cover x

cross multiply

x= 150*100

x= 15,000cm^2

Hence the total area covered is  15,000cm^2

The probability that a randomly selected quartz time piece from company XYZ will have a replacement time of less than 10 years can be determined using the normal distribution with a mean of 12.6 years and a standard deviation of 0.9 years.

To calculate the probability, we need to find the area under the normal distribution curve to the left of 10 years. First, we need to standardize the value of 10 years using the formula z = (x - μ) / σ, where x is the value (10 years), μ is the mean (12.6 years), and σ is the standard deviation (0.9 years). Substituting the values, we get z = (10 - 12.6) / 0.9 = -2.89.

Next, we look up the corresponding z-score in the standard normal distribution table or use statistical software. The table or software tells us that the area to the left of -2.89 is approximately 0.0019

. This represents the probability that a randomly selected quartz time piece will have a replacement time less than 10 years. Therefore, the probability is approximately 0.0019 or 0.19%.

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Answer:

not proportional

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Remark

I'm not sure why (f + g)x is there at all. All you are instructed to do is add the two given functions together.

Solution

(f+g)y = 5x^2 - 2y + 1 - 3y^2 - y - 2

(f+g)y = 2y^2 - 3y - 1

That's B

The function f satisfying the given conditions is

f(x) = (1/2) sin(x) cos(0) + 10 = (1/2) sin(x) + 10

How to determine the function f?

To determine the function f satisfying the given conditions f ' (x) = sin(x) cos(x), f (2p) = 10, and f (x) = A sinB(x) cosC(x) + D, where A > 0, we need to follow these steps:

1. Integrate f ' (x) to find f (x).
∫(sin(x) cos(x)) dx = (1/2) * sin^2(x) + C

2. Apply the given condition f (2p) = 10.
(1/2) * sin^2(2p) + C = 10
Since sin(2p) = 0, the equation becomes:
C = 10

3. Now, we have f(x) = (1/2) * sin^2(x) + 10. We need to express this function in the form of A sinB(x) cosC(x) + D.
We can rewrite the given function as:
f(x) = A sin(2x/2) cos(0) + D
Comparing this with f(x) = (1/2) * sin^2(x) + 10, we get:

A = 1/2
B = 2/2 = 1
C = 0
D = 10

So, the function f satisfying the given conditions is:

f(x) = (1/2) sin(x) cos(0) + 10 = (1/2) sin(x) + 10

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Taking this limit, we find that the value of the integral is 12 (option c).

To find the value of ∫20f(x) dx, we need to evaluate the given expression 2(n-1)(3n+2)n^2. We can observe that this expression represents the right Riemann sum approximation for the integral ∫20f(x) dx with n subintervals of equal length.

The right Riemann sum approximation for a continuous function f on the interval [a, b] with n subintervals is given by:

R_n = ∑(i=1 to n) f(x_i)Δx,

where Δx = (b-a)/n is the width of each subinterval, and x_i is a point in the i-th subinterval.

Comparing this with the given expression 2(n-1)(3n+2)n^2, we can identify that (n-1)(3n+2)n^2 corresponds to the sum of the function values at each subinterval.

Since the given expression represents the right Riemann sum approximation for ∫20f(x) dx, we can deduce that the integral is obtained by taking the limit of the expression as n approaches infinity.

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The correct scientific notation for the number 0.00050210 is 5.0210 x 10^(-4).

Here's a step-by-step explanation:

1. To convert a decimal number to scientific notation, we need to move the decimal point until we have a number between 1 and 10. In this case, we need to move the decimal point 4 places to the right to get 5.0210.

2. Next, we determine the power of 10 by counting the number of places we moved the decimal point. In this case, since we moved it 4 places to the right, the power of 10 is -4.

3. Finally, we write the number in the form of "a x 10^n", where "a" is the number between 1 and 10 (5.0210 in this case), and "n" is the power of 10 (-4 in this case).

So, the correct scientific notation for 0.00050210 is 5.0210 x 10^(-4).

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Question- The correct scientific notation for the number 0.00050210 is: a. 5.0210 x 10° b. 5.021 x 10 c. 5.021 x 10 d. 5.0210 x 10 e. None of the choices listed are correct.

The scientific notation for 0.00050210 is 5.0210 x 10^-4. It was calculated by moving the decimal point 4 places to the right, resulting in 5.0210, and then multiplying by 10 to the power of -4.

The given number is 0.00050210. We're trying to express it in scientific notation which is a shorthand way to write numbers that are either very large or very small by representing them as the product of a number (between 1 and 10) and a power of ten.

First, let's consider the number 0.00050210. We shift the decimal point 4 places to the right until we have a number that is between 1 and 10. So, we get 5.0210. Then, we multiply by 10 to the power of minus the number of places we moved the decimal (in this case, -4) to write the scientific notation.

So, the scientific notation of 0.00050210 is 5.0210 x 10^-4.

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Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

Answer:

0

Step-by-step explanation:

Answer:

0.315 times

Step-by-step explanation:

156÷495 ≈ 0.315

Have a good day :)

27.75 feet

Step-by-step explanation:

d = 2r = 8 => r = 4 feet

V = 464.603 = πr²h/3

464.603·3=3.14·16·h =>

h = 1393.809 : 50.24

h ≈ 27.75 feet

we know it has a diameter of 8, thus its radius is half that or namely 4.

\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} h=height\\ r=radius\\[-0.5em] \hrulefill\\ r=4\\ V=464.603 \end{cases}\implies 464.603=\cfrac{\pi (4)^2 h}{3} \\\\\\ 3(464.603)=\pi (4)^2 h\implies \cfrac{3(464.603)}{\pi (4)^2}=h\implies 27.73\approx h\)

I hope this answer would help

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer:

127 degrees f

Step-by-step explanation:

-117 + ? = 10

The probability that the students will have a pop quiz on a randomly selected day 0.77

Mrs. Barnes’s class determined the probability that she will check homework on a randomly chosen day is 0.42.

They also determined the probability that she will give a pop quiz when she checks homework is 0.6, and the probability that she will give a pop quiz when she does not check homework is 0.9.

Then the probability that Mrs. Barnes does not check homework if the students take a pop quiz will be

P= 0.42*0.60 + 0.58*0.90

P = 0.252 + 0.522

P = 0.774

P ≈ 0.77

The probability that the students will have a pop quiz on a randomly selected day 0.77

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Answer:

yes

Step-by-step explanation:

Answer:

Exact form:

1/24

Decimal form:

0.0416

Answer:

0=3x-y=-13

Step-by-step explanation:

Answer:

In the equation y+4=3(x-3), we can see that x and y are the variables and 4 and -3 are the constants.

To convert the equation to the form Ax + By = C, we'll first distribute the 3 on the right side:

y + 4 = 3x - 9

Next, we'll move all the terms with x to one side of the equation and all the terms with y to the other side:

-3x + y =  - 13

Now we have the equation in the form Ax + By = C, where A = -3, B = 1, and C = -13.

Answer:

x = 18

Step-by-step explanation:

the sum of any exterior angle is equal to the sum of any two interior angles

3x-11 + 5x+14 = 9x-15

8x + 3 = 9x - 15

3 = x - 15

x = 18

The option that best aligns with the purpose of association rules is: "Which combinations of items are frequently purchased together."

The metric that is not associated with an association rule is "Idistance." The purpose of association rules is to identify relationships or patterns between items in a dataset. Common metrics used in association rule mining include support, lift, and confidence. These metrics help measure the strength, significance, and reliability of the associations found.

To address the provided options: Association rules can help identify which items are likely overpriced by examining the relationships between price and other attributes. They can provide insights into which combinations of items are frequently purchased together, helping with market basket analysis and product recommendation systems. Association rules are not directly used to predict the number of items that can be expected to sell next year.

This type of prediction would fall more into the realm of forecasting and time series analysis. The concept of "clusters" typically pertains to clustering algorithms used in unsupervised learning. Association rules are not directly used to determine the number of clusters or cluster items. Therefore, the option that best aligns with the purpose of association rules is: "Which combinations of items are frequently purchased together."

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The real square roots of 0.0036 will be A 0.06 and -0.06.

The result of multiplying a number by itself yields its square value, while the square root of a number can be found by looking for a number that, when squared, yields the original value. It follows that a a = b if "a" is the square root of "b."

It should be noted that this is a component of a number that yields the original number when multiplied by itself

The square root will be illustrated as:

= ✓0.0036

= 0.06 and -0.06

Therefore, the correct option is A.

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Answer:

oh yeah

Step-by-step explanation:

Answer:

asking if there are any questions

Answer:

40, leg

Step-by-step explanation:

The triangle has side lengths of 9, 40, and 41.

41 is the hypotenuse, so 40 is a leg.

Taylor should consider the number of outcomes on the die that are greater than both one and three, to calculate her probability of winning the game. The desired outcomes for her calculation would be the numbers 4,5 and 6 on the die.

In order for Taylor to win the game, she needs to roll a number higher than both of her friends' rolls, which were 1 and 3. The only way for Taylor to achieve this is by rolling either a 4, 5, or 6 on the die. These three outcomes represent the desired outcomes for Taylor. Since there are three possible outcomes on a six-sided die and Taylor wants to roll a number higher than both friends, she should count these three desired outcomes in her probability calculation.

To calculate the probability, Taylor needs to consider the ratio of the number of desired outcomes to the total number of possible outcomes. In this case, the total number of possible outcomes is 6 (the number of sides on the die). The number of desired outcomes is 3 (the numbers 4, 5, and 6). Therefore, Taylor's probability of winning can be calculated as 3/6 or 1/2, which simplifies to 50%. So, Taylor has a 50% chance of rolling a number higher than both of her friends and winning the game.

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