PLS HELP WILL GIVE BRAINLIEST!! Identify this set of lines as parallel, perpendicular, or neither.

Answer:

y=35

Step-by-step explanation:

21=y-14​   Add 14 to both sides to isolate x.

+14  +14

35=y

Hope this helps and have a great day! ^^

(perdón, me no hablo español)

The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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There are exactly 360° in a circle, so the angle measure would be 3/360 * 360 = 3°.

ANSWER

• 60 feet

• The point is ,(60, 1)

EXPLANATION

As said, x is depth in feet, and f(x) represents the percentage of surface sunlight that reaches a depth of x feet. We have to find the value of x for which f(x) = 1,

Divide both sides by 16,

Take logarithm to both sides to apply the rule of the logarithm of power on the right side,

Divide both sides by log(0.955),

In the graph this is,

1) ABCD is a parallelogram (given)

2) \(\overline{BC} \parallel \overline{AD}, \overline{AB} \parallel \overline{CD}\) (opposite sides of a parallelogram are parallel)

3) \(\angle BCA \cong \angle CAD, \angle BAC \cong \angle ACD\) (alternate interior angles theorem)

4) \(\angle A \cong \angle C, \angle B \cong \angle D\) (congruent angles added to congruent angles form congruent angles)

The sets of probabilities in options b) and c) can serve as the values of a probability distribution for the random variable x.

To determine whether the given values can serve as the values of a probability distribution for the random variable x, we need to check if the probabilities meet certain criteria. A probability distribution should satisfy two conditions: The probabilities must be non-negative: P(x) ≥ 0 for all x. The sum of the probabilities must equal 1: ∑P(x) = 1, where the sum is taken over all possible values of x. Let's evaluate each set of probabilities: a) P(1) = 0.08, P(2) = 0.12, P(3) = 1.03. Here, P(3) exceeds 1, which violates the condition for a probability distribution. Therefore, these probabilities cannot serve as the values of a probability distribution. b) P(1) = 0.42, P(2) = 0.31, P(3) = 0.37.These probabilities satisfy both conditions, as they are non-negative and their sum is equal to 1. Hence, these values can serve as a probability distribution for the random variable x.

c) P(1) = 9/14, P(2) = 4/14, P(3) = 1/14. Again, these probabilities satisfy both conditions, as they are non-negative and their sum is equal to 1. Hence, these values can also serve as a probability distribution for the random variable x. In summary, the sets of probabilities in options b) and c) can serve as the values of a probability distribution for the random variable x.

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The length of AB in the triangle ABC is \(49.43\) ft.

In the given figure, we have triangle ABC with angle ABC measuring \(55\) degrees. A line DE is drawn passing through points A and C. DE intersects side BC at point E. We are given that the length of DE is \(25\) ft, angle DEC is \(55\) degrees, the length of BE is \(60\) ft, and the length of EC is \(40\) ft. We need to find the length of AB, which represents the distance across the pond.

To find the length of AB, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant. Using the law of sines, we can set up the following equation:

\(\(\frac{AB}{\sin(55°)} = \frac{60}{\sin(55°)}\)\)

Solving this equation will give us the length of AB.

To find the length of AB in the given figure, we can use the law of cosines. Let's denote the length of AB as \(x\).

Using the law of cosines, we have:

\(\[x^2 = 60^2 + 40^2 - 2(60)(40)\cos(55^\circ)\]\)

Simplifying this equation:

\(\[x^2 = 3600 + 1600 - 4800\cos(55^\circ)\]x^2 = 5200 - 4800\cos(55^\circ)\]\)

Using a calculator, we can evaluate the cosine of \($55^\circ$\) as approximately \(0.5736\).

Therefore, the length of AB is given by:

\(\[x = \sqrt{5200 - 4800\cos(55^\circ)}\]\)

\(\[x = \sqrt{5200 - 4800 \cdot 0.5736}\]\[x = \sqrt{5200 - 2756.8}\]\[x = \sqrt{2443.2}\]\[x \approx 49.43\]\)

Therefore, the length of AB is approximately \(49.43\) feet.

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Answer:

  x = 17/14 = 1 3/14

Step-by-step explanation:

You want the value of x in 8(x-3)+7=2x(4-7).

It often works well to simplify the equation first.

  8x -24 +7 = 2x(-3) . . . . . use the distributive property

  14x -17 = 0 . . . . . . . . add 6x

  x -17/14 = 0 . . . . . . divide by 14

  x = 17/14 = 1 3/14

A 5:1 mixture of Vaseline and 1 mg of hydrocortisone ung contains 833.33 mg of Vaseline. This can be found by dividing the weight of the mixture by the sum of the ratio parts.

A 5:1 mixture of Vaseline and 1 mg of hydrocortisone ung (ointment) means that there are 5 parts of Vaseline for every 1 part of hydrocortisone.

To find how many mg of Vaseline is in the mixture, we need to know the total weight of the mixture. Let's assume that the weight of the mixture is 1 gram (1000 mg) for simplicity.

Since the mixture is 5:1 Vaseline to hydrocortisone, we can divide the total weight of the mixture by the sum of the ratio parts (5+1=6) to get the weight of 1 part of the mixture:

Weight of 1 part of the mixture = 1000mg / 6 = 166.67 mg

Therefore, the weight of 5 parts of the mixture (which is the amount of Vaseline in the mixture) is:

5 x 166.67 mg = 833.33 mg

So, a 5:1 mixture of Vaseline and 1 mg of hydrocortisone ung contains 833.33 mg of Vaseline.

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The transformation that would result in a similar shape to XYZ but one that is not congruent is D. a dilation centered at the origin with a scale factor of​ x.

When a triangle undergoes dilation, there is an alteration to its size while still conserving its shape. In scenarios where the scale factor of the triangular dilation happens to exceed 1, it leads to a bigger triangle than the original.

However, if this factor falls below 1, then the resulting triangle will be smaller compared to its original. The similarity between these triangles exists because they harbour identical shapes, but their incongruency emerges from their diverse magnitudes post-dilation.

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Options for this question are:

A. a translation 3 units to the right

B. a reflection across the line y = - 2x + 3

C. a rotation 90° clockwise around the origin

D. a dilation centered at the origin with a scale factor of​ x.

Answer:

65.244 miles

Step-by-step explanation:

google lol

Answer: 65.244

Step-by-step explanation:

.....

Answer:

y=1/2×+4

Step-by-step explanation:

i think that the answer

Since the line is linear, the sum of the angles should be 180 degrees

x + 28 + 73 = 180

x = 180 - 28 - 73

x = 79 degrees

Hope this helped :)

Answer: option C

d = 56t

d = 60t - 2

Step-by-step explanation:

Answer:   d = 56t

                d = 60t – 2

Step-by-step explanation:

Edginuity 2021

We want to find an equation that gives the cost of renting a car for x days from Rent-AIL. We are given the table with the total cost for 3, 4, 5 or 6 days.

We will assume that the values are in a linear relationship, and thus we will use two of the data given as points of the cartesian plane for finding the the equation. We have that for 3 days the cost is $49.50, and the corresponding point will be:

And for 4 days the cost is $66, the point will be:

We will find the slope of the line that passes through those two points, with the formula:

And the slope will be 16.5. Now we will find the y-intercept,

This means that the y-intercept is 0, and thus, the equation that gives the cost of renting a car for x days from Rent-AIL is:

Answer:

X=-1

Step-by-step explanation:

h(x)=0

-X-1=0

-X=1

X=-1

Answer:

c because if the number next to the underlined is above 5 u round up under 4 u round down

Step-by-step explanation:

Answer: c. 76

Step-by-step explanation: 0.758 to the hundredth place is 0.76 because numbers5 and above round up.

The probability of a selected sample is 0.0001.

What is a normal distribution?

It is also known as Gaussian distribution. It shows the data near the more. This appears as bell curve in graphical form. It is a bell shaped frequency distribution curve of a continuous random variable.

Given that,

μ= 10 pounds

σ=2 pounds

n=16

Sampling distribution of mean is

μₓ⁻ =μ=10

Standard error of mean is

σₓ⁻ =σ/√n

=2/√16

=0.5

p(μₓ⁻ >12.5)

=1-p((x⁻-μₓ⁻/σₓ⁻ )≤ ((12.5-10)/0.5)

=1-p(z≤5)

using standard normal table,

=1-0.9999

=0.0001

The probability of a selected sample is 0.0001.

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Answer:

1 / 1

Step-by-step explanation:

Your line has a 1 to 1 ratio of rise over run.

Answer:

=−16x+8 for -2(8x-4)

Step-by-step explanation:

What is the solution to -2(8x-4)= -8x

What is the solution to 2x+5= 7x

so that means -2(8x-4) is less than 2x+5.

Answer: x > 1/6

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute:

-16x + 8 < 2x + 5

Subtract 2x from both sides:

-18x + 8 < 5

Subtract 8 from both sides:

-18x < -3

Divide both sides by -18:

x > 3/18 BUT this simplifies to:

x > 1/6

The reason the inequality flipped is because you divided both sides by a negative number.

The inequality ONLY flips when you divide or multiply both sides by a NEGATIVE number.

Hope this helps!

The velocities are obtained as 36 m/s and 100 m/s

We know that we can be able to obtain the velocity of the water if we are able to differentiate the function that we have here where Q is the position of the water and can be differentiated.

We are going to see that;

Q = 8t^2 + 4t +2

We would now have to take the derivative of Q with respect to t and we are going to have that;

V = dQ/dt = 16t + 4

At t = 2s

V = 36 m/s

At t = 6 s

V = 100 m/s

As we can see above.

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Answer:

106

Step-by-step explanation:

If 1 student gets a 1, and 106 get a 100, then the mean will be 99.99, and 106 students will get the extra credit.

The probability that a passenger did not survive is approximately 0.696, staying in the first class is approximately 0.148. The probability that the passenger was staying and survived in the first class is approximately 0.304. Survival and staying in the first class are not independent. The probability that a surviving passenger was a child and staying in the first class is 6/342 or approximately 0.108. The probability that the surviving passenger was an adult is approximately 0.666. Age and staying in the first class are not independent for surviving passengers.

The probability that a passenger did not survive is 1,533/2,201 or approximately 0.696. The probability that a passenger was staying in the first class is 325/2,201 or approximately 0.148.

Given that a passenger survived, the probability that the passenger was staying in the first class is 203/668 or approximately 0.304. Survival and staying in the first class are not independent as the probability of survival is different across the different classes of passengers.

Given that a passenger survived, the probability that the passenger was staying in the first class and the passenger was a child is 22/203 or approximately 0.108. Given that a passenger survived, the probability that the passenger was an adult is 445/668 or approximately 0.666.

Given that a passenger survived, age and staying in the first class are not independent as the probability of being a child is different across the different classes of passengers.

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--The given question is incomplete, the complete question is given

" The following slide shows the survival status of individual passengers on the Titanic. Use this information to answer the following questions What is the probability that a passenger did not survive? What is the probability that a passenger was staying in the first class? Given that a passenger survived, what is the probability that the passenger was staying in the first class? Are survival and staying in the first class independent? Given that a passenger survived, what is the probability that the passenger was staying in the first class and the passenger was a child? Given that a passenger survived, what is the probability that the passenger was an adult? Given that a passenger survived, are age and staying in the first class independent? Survived Cabin 3rd Sub Total 654 57 2nd Crew 151 27 178 212 ild 24 Total 118 212 Not Survived Cabin Sub Total 1,438 52 490 2nd Crew 476 673 ild ub Total 122 528 Total Cabin 2nd 3rd Crew Grand Total 319 261 627 79 706 885 2,092 24 109 2,201 rand Total 325 285 885"--

Answer:

  67 square units

Step-by-step explanation:

The area using the left-hand sum is the sum of products of the function value at the left side of the interval and the width of the interval.

The attachment shows a table of the x-value at the left side of each interval, and the corresponding function value there. The interval width is 1 unit in every case, so the desired area is simply the sum of the function values.

The approximate area is 67 square units.

Split up the interval [0, 6] into 6 equally spaced subintervals of length \(\Delta x = \frac{6-0}6 = 1\). So we have the partition

[0, 1] U [1, 2] U [2, 3] U [3, 4] U [4, 5] U [5, 6]

where the left endpoint of the \(i\)-th interval is

\(\ell_i = i - 1\)

with \(i\in\{1,2,3,4,5,6\}\).

The area under \(f(x)=x^2+2\) on the interval [0, 6] is then given by the definite integral and approximated by the Riemann sum,

\(\displaystyle \int_0^6 f(x) \, dx \approx \sum_{i=1}^6 f(\ell_i) \Delta x \\\\ ~~~~~~~~ = \sum_{i=1}^6 \bigg((i-1)^2 + 2\bigg) \\\\ ~~~~~~~~ = \sum_{i=1}^6 \bigg(i^2 - 2i + 3\bigg) \\\\ ~~~~~~~~ = \frac{6\cdot7\cdot13}6 - 6\cdot7 + 3\cdot6 = \boxed{67}\)

where we use the well-known sums,

\(\displaystyle \sum_{i=1}^n 1 = \underbrace{1 + 1 + \cdots + 1}_{n\,\rm times} = n\)

\(\displaystyle \sum_{i=1}^n i = 1 + 2 + \cdots + n = \frac{n(n+1)}2\)

\(\displaystyle \sum_{i=1}^n i^2 = 1 + 4 + \cdots + n^2 = \frac{n(n+1)(2n+1)}6\)

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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We need to find the present value, so we will use the formula of Present Value of Annuity:

P = (R/i) [1 - 1/(1 + i)^n]

P = (42,000/0.0622) [1 - 1/(1 + 0.0622)^(12+2)]

P = $510,836.65

The amount of money needed to invest today to have a retirement income of $3,500 per month for u + 28 months with 6.22% interest rate can be calculated as follows

Retirement income (R) = $3,500 per month, Rate of interest (i) = 6.22%,

Number of months (n) = u + 28, Present value (P) = ?

We know that the monthly interest rate will be i/12 and the total number of payments will be 12n months.

So, we can calculate the present value using the formula of Present Value of Annuity:

P = (R/i) [1 - 1/(1 + i/12)^(12n)]

P = (3,500/0.00518333) [1 - 1/(1 + 0.00518333)^(12(12+28))]

P = $385,773.62

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To calculate P(X + Y < 1), we need to find the probability that the sum of X and Y is less than 1.

We start by considering the region in the x-y plane where X + Y < 1. This region is defined by the conditions y < 1 - x and 0 < x < ∞.

To find the probability, we integrate the joint probability density function (pdf) over this region:

P(X + Y < 1) = ∫∫(region) f(x, y) dA

where dA represents the area element.

The region can be visualized as the triangle below the line y = 1 - x in the first quadrant.

Integrating over this region, we have:

P(X + Y < 1) = ∫∫(region) e^(-y) dy dx

= ∫[0, ∞] ∫[0, 1 - x] e^(-y) dy dx

= ∫[0, ∞] [-e^(-y)]|[0, 1 - x] dx

= ∫[0, ∞] (-e^(1 - x) + 1) dx

= -e^(1 - x) + x|[0, ∞]

= (0 - (-e)) + (∞ - 0)

= 1 + ∞

Since the result is ∞, we say that P(X + Y < 1) diverges or is undefined.

Moving on to the second part of the question, we need to find the conditional probability density function (pdf) of Y given that X = x.

The conditional pdf of Y given X = x is given by:

f(y|x) = f(x, y) / fX(x)

where fX(x) is the marginal pdf of X.

To find fX(x), we need to integrate the joint pdf over the range of y:

fX(x) = ∫[0, x] e^(-y) dy

= -e^(-y)|[0, x]

= -e^(-x) + 1

Now we can calculate the conditional pdf:

f(y|x) = e^(-y) / (-e^(-x) + 1)

Finally, we can find the value of P(Y > 2 | X = 3) by integrating the conditional pdf over the range of y > 2, given X = 3:

P(Y > 2 | X = 3) = ∫[2, ∞] f(y|x=3) dy

= ∫[2, ∞] e^(-y) / (-e^(-3) + 1) dy

= -e^(-y) / (-e^(-3) + 1)|[2, ∞]

= (-e^(-∞) / (-e^(-3) + 1)) - (-e^(-2) / (-e^(-3) + 1))

= 0 - (-e^(-2) / (-e^(-3) + 1))

= e^(-2) / (-e^(-3) + 1)

the value of P(Y > 2 | X = 3) is e^(-2) / (-e^(-3) + 1).

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Answer:

  (a)  (-1, 2)

Step-by-step explanation:

You want the ordered pair that represents the coordinates of a point 1 unit left and 2 units up from the origin.

The (x, y) coordinates of a point on the Cartesian plane represent (units right, units up) relative to the origin. When the direction is left or down, the sign of the corresponding coordinate is made negative.

  (1 left, 2 up)   ⇒   (-1, 2), matching choice A

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