Yall PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

complete the equation of the line whose y- intercept is (0,5)and slope is -9.
y=

Answer:

because 2 and 3 are all prime factors

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Width = 4ft

Step-by-step explanation:

Area of the rectangular mural = Length × Breadth

7 ft tall and 11 ft wide.

(11 - 2W)(7 - 2W) = 88

77 -22W - 14W + 4W² = 88

77 -36W + 4W² = 88

4W² - 36W + 77 - 88

= 4W² - 36W - 11

W = 4ft

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)

Answer:

See Below.

Step-by-step explanation:

We want to estimate the definite integral:

\(\displaystyle \int_1^47\sqrt{\ln(x)}\, dx\)

Using the Trapezoidal Rule, Midpoint Rule, and Simpson's Rule with six equal subdivisions.

1)

The trapezoidal rule is given by:

\(\displaystyle \int_{a}^bf(x)\, dx\approx\frac{\Delta x}{2}\Big(f(x_0)+2f(x_1)+...+2f(x_{n-1})+f(x_n)\Big)\)

Our limits of integration are from x = 1 to x = 4. With six equal subdivisions, each subdivision will measure:

\(\displaystyle \Delta x=\frac{4-1}{6}=\frac{1}{2}\)

Therefore, the trapezoidal approximation is:

\(\displaystyle =\frac{1/2}{2}\Big(f(1)+2f(1.5)+2f(2)+2f(2.5)+2f(3)+2f(3.5)+2f(4)\Big)\)

Evaluate:

\(\displaystyle =\frac{1}{4}(7)(\sqrt{\ln(1)}+2\sqrt{\ln(1.5)}+...+2\sqrt{\ln(3.5)}+\sqrt{\ln(4)})\\\\\approx18.139337\)

2)

The midpoint rule is given by:

\(\displaystyle \int_a^bf(x)\, dx\approx\sum_{i=1}^nf\Big(\frac{x_{i-1}+x_i}{2}\Big)\Delta x\)

Thus:

\(\displaystyle =\frac{1}{2}\Big(f\Big(\frac{1+1.5}{2}\Big)+f\Big(\frac{1.5+2}{2}\Big)+...+f\Big(\frac{3+3.5}{2}\Big)+f\Big(\frac{3.5+4}{2}\Big)\Big)\)

Simplify:

\(\displaystyle =\frac{1}{2}(7)\Big(f(1.25)+f(1.75)+...+f(3.25)+f(3.75)\Big)\\\\ =\frac{1}{2}(7) (\sqrt{\ln(1.25)}+\sqrt{\ln(1.75)}+...+\sqrt{\ln(3.25)}+\sqrt{\ln(3.75)})\\\\\approx 18.767319\)

3)

Simpson's Rule is given by:

\(\displaystyle \int_a^b f(x)\, dx\approx\frac{\Delta x}{3}\Big(f(x_0)+4f(x_1)+2f(x_2)+4f(x_3)+...+4f(x_{n-1})+f(x_n)\Big)\)

So:

\(\displaystyle =\frac{1/2}{3}\Big((f(1)+4f(1.5)+2f(2)+4f(2.5)+...+4f(3.5)+f(4)\Big)\)

Simplify:

\(\displaystyle =\frac{1}{6}(7)(\sqrt{\ln(1)}+4\sqrt{\ln(1.5)}+2\sqrt{\ln(2)}+4\sqrt{\ln(2.5)}+...+4\sqrt{\ln(3.5)}+\sqrt{\ln(4)})\\\\\approx 18.423834\)

We need to know about quadratic equation to solve this problem. The time taken by the rocket to be 64 feet high is either 5.235 seconds or 0.765 seconds.

Quadratic equation is an equation with the highest degree of the variable being two. Quadratic equation has two roots, the two roots can be real and unique, real and equal or imaginary. Quadratic equation can be solved by factorization method. In the given question we have been given a quadratic equation that shows us the relation between height that the rocket reaches and the time it takes to reach that height. We have to find the time the rocket takes to be at a height of 64 feet

h(t)=\(-16t^{2}\)+96t

64=\(-16t^{2}\)+96t

\(16t^{2} -96t+64=0\)

\(t^{2} -6t+4=0\\\)

t=-b±\(\sqrt{b^{2} -4ac}\)/2a=6±\(\sqrt{36-16}\)/2=6±\(\sqrt{20}\)/2=6±4.47/2

t=6+4.47/2 =5.235 or t=6-4.47/2=0.765

Therefore we have two values of t, so the time needed by the rocket to be at a height of 64 feet is either 5.235 seconds or 0.765 seconds.

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Let \(f(x) = x^3 - 2x - 2\). Then differentiating, we get

\(f'(x) = 3x^2 - 2\)

We approximate \(f(x)\) at \(x_1=2\) with the tangent line,

\(f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18\)

The \(x\)-intercept for this approximation will be our next approximation for the root,

\(10x - 18 = 0 \implies x_2 = \dfrac95\)

Repeat this process. Approximate \(f(x)\) at \(x_2 = \frac95\).

\(f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}\)

Then

\(\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}\)

Once more. Approximate \(f(x)\) at \(x_3\).

\(f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}\)

Then

\(\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}\)

Compare this to the actual root of \(f(x)\), which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

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Answer:

Thanks for the points

Step-by-step explanation:

Answer:

a1 = 4

a2= -2

a3 = -8

a4= -14

a5= -20

Step-by-step explanation:

a12= a1 + 11d

-62 = 4 + 11d

-62-4 = 11d

-66= 11d

d = \(\frac{-66}{11}\\\)

  = -6

a1 = 4

a2 = 4 - 6 = -2

a3 = 4 - (6×2) = -8

a4 = 4 - (6×3) = -14

a5 = 4 - (6×4) = -20

Step-by-step explanation:

To calculate the correlation coefficient (r) given SSxx, SSxy, and other information, we need to use the following formula:

r = √(SSxy / SSxx)

Given SSxx = 950 and SSxy = 205.2, we can substitute these values into the formula:

r = √(205.2 / 950)

Calculating the value:

r = √(0.216)

r ≈ 0.465

The correlation coefficient (r) is approximately 0.465.

Interpretation: The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the value of r = 0.465 indicates a positive linear relationship between the variables, but it's not a strong relationship. The closer the value of r is to 1 or -1, the stronger the relationship. Since r = 0.465 is relatively close to zero, it suggests a weak positive linear association between the variables being an analyzed.

hope it help you

The Pearson's correlation coefficient (r) based on given data is approximately 0.44, implying a moderate positive correlation.

The formula for calculating Pearson's correlation coefficient (r) in this case is given as: r = SSxy / sqrt(SSxx * SSyy). However, we don't have the value for SSyy directly, but we can calculate it. We know that SSyy = Σy² -(Σy)² / n. Given that Σy² is 2028 and Σy is 120 and number of samples n is 12, we can calculate SSyy as: SSyy = 2028 - (120)² / 12 = 52. Now, substitute SSxx = 950, SSxy = 205.2 and SSyy = 52 in the formula to find r: r = 205.2 / sqrt(950 * 52), giving us an r-value of approximately 0.44. This value of r suggests a moderate positive correlation between the variables in the dataset.

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Answer:

2

Step-by-step explanation:

Answer:

2,3,4,5,6,7,8,9,10,...29

Step-by-step explanation:

Answer:

a 0, 16, 64,144 graph A edge

Step-by-step explanation:

The graph that best represents the equation is option A.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The equation is

s = 16t²

The table is

s              t

0             16*0 = 0

1              16 * 1 = 16            

2              16 * 4 = 64

3               16 * 8 = 108

The points represents a parabola opening upwards, vertex is at (0,0) and goes through the point (-1,16)

This has been confirmed by the graph plotted for the equation.

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The equation which represents the relationship between X values and Y values can be found by deriving the equation of line using slope intercept form. The equation of line is 3x - 5y = 25.

How to find equation of line using slope intercept form?

Equation of line using slope intercept form is y = mx + b

where m is slope of the line and b is y-intercept

The slope intercept can be used to form equation of line using two points on the line.

According to the given question:

The two points which lie on the line are (x, y) = (5, -2) and (x', y') = (0, -5)

Slope of the line m = y' - y/x' - x

                               = (-5 +2)/(0 - 5)

                               = 3/5

Now y intercept b = y - mx

                              = -2 - (3/5. 5)

                              = -5

Therefore the required equation of line is y = 3/5x - 5

On simplifying further 3x - 5y = 25

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The customer would pay $54.40 for the shoes

What is the dollar value of the initial discount of 20%?

The dollar worth of the general discount of 20% of the price of $80 is determined as 20% multiplied by the shoe price

dollar worth of initial discount=20%*$80

dollar worth of the initial discount=$16

the price after the initial discount=$80-$16

the price after the initial discount=$64

The fact the customer has a coupon to receive additional 15% off the sale price means the purchase price for the customer is as computed thus:

final sale price=$64*(1-15%)

final sale price=$54.40

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Answer:

a. 0.4 = 40% probability that your bid will be accepted

b. 0.8 = 80% probability that your bid will be accepted.

c. $15,000.

d. Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.

This means that \(a = 10, b = 15\), considering the measures in thousands of dollars.

a. Suppose you bid $12,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 12000(X < 12). So

\(P(X < 12) = \frac{12 - 10}{15 - 10} = \frac{2}{5} = 0.4\)

0.4 = 40% probability that your bid will be accepted.

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 14000(X < 14). So

\(P(X < 14) = \frac{14 - 10}{15 - 10} = \frac{4}{5} = 0.8\)

0.8 = 80% probability that your bid will be accepted.

c. What amount should you bid to maximize the probability that you get the property?

The upper bound of the uniform distribution, that is, $15,000.

d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?

Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Answer:

■ Find the number pairs of 48 and 56

➢ GCF of 48 and 56 by Listing Common Factors

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56.

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Note:

For two or more triangles to be similar, they must be equiangular, that is , they must have equal angles

For question a, all we are intersested in proving is that triangles ABC, ACD and CBD have equal angles

In triangles ABC, In triangles ABC and ACD, they both have common angle A which are equal

Since two angles of triangles ABC and ACD are equal, then their third angle too must be equal ( i.e < B = < C)

In triangles ABC and CBD, they both have coomon angle B,

Therefore, their third angles are equal

hence, since we have established that the 3 triangles are equiangular, therefore they are similaar triangles

Part B

In triangles CAB, line FG joins the midpoint of AC and CB, therefore line FG is parallel to line AB (the line joining the midpoints of two side of a triangle is parallel to the third side)

therefore,

in triangle CFG, in triangle CFG, in triangle CGFSince we have established that triangle CFG and triangle CAB have equal angles, they are similar triangles

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

x=8

.....................

Answer:

71

Step-by-step explanation:

The square represents 90 degrees.

A triangle’s three angles ALWAYS adds up 180.

To find the missing angle:

180 - 90 = 90

90 - 19 = 71.

Therefore, the answer is 71

Answer: y - 5 = -5/6 (x - 18)

Step-by-step explanation:

The point-slope form of a linear equation is written using the slope of the line and one point in the line. From part A, the slope of the line representing this situation is m = -5/6.

Since x represents the number of 10-student groups and y represents the number of 12-student groups, the combination of 18 groups of 10 students and 5 groups of 12 students is represented by the point (18,5).

Answer:

Step-by-step explanation:

Answer:

What grade is this 12th?

Step-by-step explanation:

The equivalent expression for the expression given; (( 5/7 )² × (1/3)-³)-¹ is; (7/5)² • (1/3)³.

It follows from the task content that the expression which is equivalent to that which is given is to be determined.

here, we have,

Hence, since the given expression is; (( 5/7 )² × (1/3)-³)-¹;

It follows from the power of powers law of indices that we have;

( 5/7 )-² • (1/3)³

Also, according to the negative exponent law of indices; we have;

(7/5)² • (1/3)³.

On this note, the required equivalent expression is; (7/5)² • (1/3)³.

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Answer:

If Manuel has $20,000 in a savings account that earns 7% interest per year and the interest is not compounded, then after two years he will earn $2,800 in interest. This is because 7% of $20,000 is $1,400, and since the interest is not compounded, this amount will remain constant for each year. Therefore, after two years Manuel will earn a total of $1,400 + $1,400 = $2,800 in interest.

In general, if a savings account earns x% interest per year and the initial amount in the account is y dollars, then after n years the account will earn n * (x/100) * y dollars in interest. For example, if the interest rate is 7% and the initial amount is $20,000, then after two years the account will earn 2 * (7/100) * $20,000 = $2,800 in interest.

Step-by-step explanation:

Answer:

The answer is $2800.

Step-by-step explanation:

Now,

(20000 × 7) ÷ 100 = $1400

Here, we get for 1 year

for two years,

1400 × 2 = $2800

Thus, He will earn $2800 in 2 years.

The proofing for the triangle is illustrated below.

The proofing for a² + b² = c² in the triangle is illustrated.

It should be noted that the longest side in the triangle is the hypothenuse. The hypothenuse is gotten by finding the square root of the opposite and the adjacent.

Therefore, a² + b² = c²

Let's say a = 3 and b = 4, the value of c will be:

c² = a² + b²

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = ✓25

c = 5

Also, the square and triangle is illustrated and attached.

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The graph that represents the given inequalities are attached below.

To find the solution graph of the inequalities y ≤ x² + 1 and x > y²  – 5, you would first graph the equations y = x²  + 1 and x = y²  – 5 separately.

The inequality \(y \leq x^2 + 1\) represents the shaded region below the graph of the equation y = x²  + 1.

This region includes the curve and all the points below it.

The inequality x > y²  – 5 represents the shaded region to the right of the graph of equation x = y²  – 5. This region includes the curve and all the points to the right of it.

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