A line has a slope of Negative three-fifths. Which ordered pairs could be points on a parallel line? Select two options. a (–8, 8) and (2, 2) b (–5, –1) and (0, 2) c (–3, 6) and (6, –9) d (–2, 1) and (3, –2) e (0, 2) and (5, 5)

Answers

Answer 1

Options A and D are having a slope equal to -3/5.

Given that the slope of the line is -3/5.

That is, m = -3/5

We need to find which ordered pairs could be points on a parallel line.

What is the formula to find the slope of the line?

The formula for slope between two coordinates is m = (y₂ - y₁)/(x₂ - x₁).

Now,

Using (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

⇒m = -6/10

m = -3/5

Using (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

Using (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

⇒m = -15/9

m = -5/3

Using (–2, 1) and (3, –2);

⇒m = (-2 - 1)/(3 - (-2))

m = -3/5

Using (0, 2) and (5, 5);

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

m = 3/5

We know that the condition for parallel lines slope is [tex]m_{1} =m_{2}[/tex].

Therefore, options A and D are having a slope equal to -3/5.

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Related Questions

Find the solution, if possible, to the following system of equations using any method.

Give your answer in fraction form if necessary. Show all work. If you use matrices, you MUST write out the augmented matrix you inputted into the calculator.

3 − 4 + = −4

4 − 8 + 7 = 2

−2 + 4 − 3 = 5

Answers

I do it for the first one I have to do that I need it for me to do not feel like I need it to be honest and help my head

A survey found that 10 out of 15 students like pizza. If four students are chosen at random, what is the probability that all the four students like pizza?​

Answers

Using the hypergeometric distribution, it is found that there is a 0.1539 = 15.39% probability that all the four students like pizza.

What is the hypergeometric distribution formula?

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

For this problem, the values of the parameters are given as follows:

N = 15, n = 4, k = 10.

The probability that all the four students like pizza is P(X = 4), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,15,4,10) = \frac{C_{10,4}C_{5,0}}{C_{15,4}} = 0.1539[/tex]

0.1539 = 15.39% probability that all the four students like pizza.

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You are a loan officer at the West Elm Savings and Loan. Mr. and Mrs. Brady are in your office to apply for a mortgage loan on a house they want to buy. The house has a market value of $160,000. Your bank requires 1/5 of the market value as a down payment.
(a)
What is the amount (in $) of the down payment? $


(b)
What is the amount (in $) of the mortgage for which the Bradys are applying? $


(c)
Your bank offers the Bradys a 30-year mortgage with a rate of 5%. At that rate, the monthly payments for principal and interest on the loan will be $5.37 for every $1,000 financed. What is the amount (in $) of the principal and interest portion of the Bradys' monthly payment? $


(d)
What is the total amount (in $) of interest that will be paid over the life of the loan? $


(e)
Your bank also requires that the monthly mortgage payments include property tax and homeowners insurance payments. If the property tax is $1,710 per year and the property insurance is $1,458 per year, what is the total monthly payment (in $) for PITI (principal, interest, taxes, and insurance)? $


(f)
To qualify for the loan, bank rules state that mortgage payments cannot exceed 14 of the combined monthly income of the family. If the Bradys earn $3,750 per month, will they qualify for this loan?


Yes, they will http://qualify.
No, they will not qualify.


(g)
What monthly income (in $) would be required to qualify for this size mortgage payment? $

Answers

a) The amount (in $) of the down payment is $32,000.

b) The amount (in $) of the mortgage for which the Bradys are applying is $128,000.

c) The amount (in $) of the principal and interest portion of the Bradys' monthly payment, at $5.37 for every $1,000 financed, is $687.36.

d) The total amount (in $) of interest that will be paid over the life of the loan is $$119,449.60.

e) The total monthly payment (in $) for PITI (principal, interest, taxes, and insurance) is $951.36.

f) Based on the bank rules that state that mortgage payments cannot exceed 14% of the combined monthly income of $3,750, B. No, they will not qualify.

(g) The monthly income (in $) that would be required to qualify for this size mortgage payment is $4,909.71 ($687.36/0.14).

Data and Calculations:

Down payment = 1/5 or 20%

Home Price = $160,000

Down Payment = 20%

Loan Term = 30 years

Interest Rate = 5%

Annual property tax = $1,710 per year

Annual property insurance = $1,458 per year

Monthly taxes and insurance = $264 ($3,168/12)

Monthly PITI (principal, interest, taxes, and insurance) = $951.36 ($264 + $687.36)

14% of $3,750 = $525

Results:  

Monthly Pay:   $687.36 ($5.37 x $128,000/$1,000)

Loan Amount $128,000 ($160,000 - $32,000)

Down Payment = $32,000 ($160,000 x 20%)

Total of 360 Mortgage Payments = $247,449.60 ($687.36 x 360)

Total Interest = $119,449.60 ($247,449.60 - $128,000)

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Two children had 110 marbles between them. After one child had lost half her marbles
and the other had lost 20 they had an equal number. How many marbles did each child
start with and how many did they finish with?

Answers

Answer:

1 child - 60 another child - 50

Step-by-step explanation:

we start from the end. they had a equal number.

child A lost half therefore we give them another half having 2 units as shown in the diagram. child B had 1 unit plus 20 because he lost 20 which total adds up to 110. from there you have

3 units + 20 = 110

3 units = 90

1 unit = 30

since A has 2 units,

30 × 2 = 60

child A has 60.

since B has 1 unit plus 20

30 + 20 = 50

Which equation represents a line that is perpendicular to the line passing through (-4,7) and (1,3)?

Answers

The equation perpendicular to the line passing through the points (-4,7) and (1,3) is[tex]y=\frac{5}{4}x-2[/tex]

Equation perpendicular to a line

The slope of the given line is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-7}{1-(-4)} \\\\m=\frac{-4}{5}[/tex]

The equation perpendicular to the given line will be of the form

[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

Substitute [tex]x_1=-4, y_1=7, and m=\frac{-4}{5}[/tex]

[tex]y-7=\frac{5}{4}(x+4)\\\\ y=\frac{5}{4}x+5-7\\\\ y=\frac{5}{4}x-2[/tex]

Therefore, the equation perpendicular to the line passing through the points (-4,7) and (1,3) is [tex]y=\frac{5}{4}x-2[/tex]

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Answer:  [tex]y = -\frac{5}{4} x - 2[/tex]

Step-by-step explanation:

Harpreet, Sukhpreet and Komalpreet are three sisters. Sukhpreet is x years old. Harpreet is 3 years older than Sukhpreet. Komalpreet is twice the age of Harpreet. If the average age of the three sisters is 15, how old is Harpreet?

Answers

Answer:

12

Step-by-step explanation:

Givens

Harpreet        = x + 3

Sukhpreet     = x

Komalpreet   = 2*(x + 3)

Average Age = 15

Equation

[(x + 3) + x + 2*(x + 3) ] / 3 = 15                  Multiply both sides by 3

Solution

3 [(x + 3) + x + 2*(x + 3) ] / 3 = 15 * 3         Combine

 [(x + 3) + x + 2*(x + 3) ]       =   45             Remove the brackets

x + 3 + x + 2x + 6                 =   45             Combine like terms

4x + 9 = 45                                                 Subtract 9 from both sides

4x + 9 - 9 = 45 - 9                                       Combine

4x = 36                                                         Divide by 4

4x/4 = 36/4

x = 9

Answer

Harpreet is  x+ 3 = 9 + 3 = 12

What is the solution to the equation
1/4x-1/8=7/8+1/2x?

Answers

Answer:

x=-1/4

Step-by-step explanation:

1 / 4x-1/8 = 7/8 + 1 / 2x <=> 1/4x - 1/2x = 7/8+1/8 <=> 1/4x-2/4x = 1  <=> -1/4x = 1

<=> x= -1/4

Answer:

2.7 + 8x/8.2

Step-by-step explanation:

1/4x - 1/8 = 7/8 + 1/2x x/4 - 1/8 = 7/8 + x/2

8x + 4 (-1)/4.8 = 2.7 + 8x/8.2


Find K such that the number 23K10 is
divisible by 2, 3, and 5
2021

Answers

The values of K that will make 23K10 to be divisible by 2, 3 and 5 are; 0, 3, 6 and 9

How to use divisibility rules?

We want to find the number K in 23K10 that will make it divisible by 2, 3 and 5.

Now, for the number to be divisible by 2, 3 and 5, then it means it must be divisible by the LCM which is; 2 * 3 * 5 = 30

Now, the divisibility rule for 30 is that it must be divisible by 3 and 10.

If 23K10 is divisible by 3, sum of digits will be multiple of 3.

Thus;

2 + 3 + K + 1 + 0 = K + 6 must be equal to 0, 3, 6, 9, 12, 15, 18....

Thus, K could either be 0, 3, 6 or 9

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graph absolute value of x-1

Answers

Modulus function is a function gives absolute value of a number or variable.

It gives magnitude of the number or variables.

It is also known as an absolute value the function.

The result of this modulus function is always positive.

Draw the graph:

f(x) = |x-1|

f(x) = -(x-1) when x-1 is negative

f(x) = (x-1) when x-1 is positive

when x = -2, f(x) = 3

when x = -1, f(x) = 2

when x = 0, f(x) = 1

when x = 1, f(x) = 0

when x = 2, f(x) = 1

Using this values, draw the graph of f(x) = |x-1|

Hence, the required modulus of x-1 graph.

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Using a crankshaft, a carpenter drills a 1 cm radius hole through a ball of wood along a diameter. If the radius of the ball is 4 cm, determine the volume of wood remaining.​

Answers

Answer:263.89cm cubed

Step-by-step explanation:

Volume of A Sphere: 4/3 pi radius cubed

4cubed= 64

64 times pi=201.061

201.061 multiply 4/3= 268.08

1cubed= 1

1 times pi=3.14

3.14 times 4/3= 4.19

268.08-4.19= 263.89cm cubed

homework! This is a stats problem I’ve been struggling with and need help thanks!!!

Answers

good luck u believe in you im judt commenting to get points sorry

Which choice is equivalent to the quotient below?
-/100/-/25

Answers

the answer to this equation is 4

Price of article = $315.50
Down payment = $31.55
Monthly payment amount = $16.50
Duration of payments = 20 months

Interest

(
I
)
=
2
y
c
m
(
n
+
1
)

True annual interest rate to the nearest tenth=

Answers

The true annual interest rate to the nearest tenth is 16.7%.

How is interest determined?

The interest amount for this scenario can be determined by computing the total mortgage payment and subtracting the mortgage amount from the earlier figure.

Since payment was made for 20 months, the interest rate can be annualized using 24 months as below.

Data and Calculations:

Price of article = $315.50

Down payment = $31.55

Mortgage amount = $283.95

Monthly payment amount = $16.50

Duration of payments = 20 months

Total payment (mortgage and interest) = $330 (20 x $16.50)

Interest = $46.05 ($330 - $283.95)

Annualized interest rate = 16.7% ($46.05/$330 x 24/20)

Thus, the true annual interest rate to the nearest tenth is 16.7%.

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A jar contains 2 red marbles numbered 1 to 2 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event.

Answers

The probability that the randomly chosen marble will be red is 1/6 or 0.1667.

What is the probability of an event?

The probability of an event is the possibility, chance, or likelihood for an event to take place or occur.

From the given information:
Let us find the probability that if marble is drawn at random from the jar, the given marble will be red:

The total number of marble = 10 + 2 = 12 marbles.

There are 2 red marbles and 10 blue marbles

The probability that the randomly chosen marble will be red is:

P(red) = 2/12

P(red) = 1/6

P(red) = 0.1667

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How many sides does a nonagon have

Answers

A nonagon has 9 sides.

Which is the equation in slope-intercept form for the line that passes through (−2, 15) and is perpendicular to 2x + 3y = 4?


y=−32x+18

y=32x−12

y=23x+18

y=32x+18

Answers

The linear equation that respects the given conditions is:

[tex]y = \frac{3}{2}x + [/tex]

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are perpendicular, the multiplication of their slopes is of -1. Hence, considering it is perpendicular to 2x + 3y = 4.

[tex]2x + 3y = 4[/tex]

[tex]3y = -2x + 4[/tex]

[tex]y = -\frac{2x}{3} + \frac{4}{3}[/tex]

Then:

[tex]-\frac{2}{3}m = -1[/tex]

[tex]m = \frac{3}{2}[/tex]

Hence:

[tex]y = \frac{3}{2}x + b[/tex]

It passes through (−2, 15), that is, when x = -2, y = 15, hence:

[tex]y = \frac{3}{2}x + b[/tex]

[tex]15 = \frac{3}{2}(-2) + b[/tex]

15 = -3 + b

b = 18.

So the equation is:

[tex]y = \frac{3}{2}x + [/tex]

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Calculate the unit cost per Kg if it costs $16.99 for 454 g package of cooked shrimp.

Answers

Answer:

$37.42 / kg

Step-by-step explanation:

Divide 16.99 by 454 to get the unit cost per gram. This equals 0.037422907…

Take this number and multiply it by 1000, while rounding it to the nearest hundredth after.

This equals about $37.42 / kg.

Need the answer please anyone!!!

Answers

The correct expression is the one in option B.

[tex]P(x) = (x - \sqrt{4} )*(x - 2)*(x + 2)[/tex]

Which is the correct expression?

If we know that a polynomial has the known zeros:

{x₁, x₂, ..., xₙ}

Then the factored form is:

[tex]p(x) = a*(x - x_1)*...*(x - x_n)[/tex]

Where a is the leading coefficient, in this case we take a = 1.

Here we also know that the zeros are:

√4, 2, -2.

Then the factored form is just:

[tex]P(x) = (x - \sqrt{4} )*(x - 2)*(x - (-2))\\\\P(x) = (x - \sqrt{4} )*(x - 2)*(x + 2)[/tex]

Then we conclude that the correct option is B.

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Use the equations to find the perimeter equation

Answers

The perimeter of the park is 3x^2 + 37x - 4

How to determine the perimeter?

The side lengths of the triangular park are:

10x + 3x^2 - 8, 12x and 15x + 4

Add these sides to determine the perimeter

P = 10x + 3x^2 - 8 + 12x + 15x + 4

Collect the like terms

P = 3x^2 + 10x + 12x + 15x - 8 + 4

Evaluate the sum

P = 3x^2 + 37x - 4

Hence, the perimeter of the park is 3x^2 + 37x - 4

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Which of these is the quadratic parent function?
A. f(x) = (1/4 x)²
B. f(x)=x²-3
C. f(x) = x² +5
D. f(x) = x²

Answers

Answer:

[tex]f(x)=x^2[/tex]

Step-by-step explanation:

The quadratic parent function, has no transformations, and has the vertex at (0, 0). Which is the function: [tex]f(x)=x^2[/tex]. Any other quadratic function, has some form of transformation, whether it be a reflection, translation, compression/stretch, etc...

Write 0,0234234... in the form m/n where m and n are relatively prime. ​

Answers


Let 0.0234234… = n
234.234234…=10,000n
234= 10,000n-10n
234= 9,990n
n= 234/9,990

0.0234234…= 234/9990

Answer:

m=26, n=111

Step-by-step explanation:

Let 0,0234234... be x

Then 100x = 23,4234234...

100x-x=23,4234234...-0.0234234...

99x=23,4

999x=234

111x=26

x=26/111

m=26, n=111

Solve for x in the diagram below.

Answers

Answer:

x=40

Step-by-step explanation:

total sum of angle in a triangle =180

180-100=80

x+x =2x

x= 80/2

x=40

simplify the expression -2v+15d

Answers

Answer:

isn't this already fully simplified?

Step-by-step explanation:

What’s the formula for the geometric mean of three numbers?

Answers

Answer:

Geometric mean is most commonly represented as:

[tex]\sqrt{abc}[/tex]

Geometric mean formula is represented by [tex]\sqrt[n]{\sf x_1 \cdot x_2 \cdot x_3 \cdot ... x_n}[/tex] where n resembles term position and x₁, x₂, x₃ are numbers and they continue.

The formula for geometric mean of three numbers [n = 3]:

Solution: [tex]\sqrt[3]{\sf x_1 \cdot x_2 \cdot x_3 }[/tex]

Example's:

Geometric mean of 5 numbers [n = 5] : [tex]\sqrt[5]{\sf x_1 \cdot x_2 \cdot x_3 \cdot x_4 \cdot x_5 }[/tex]

Geometric mean of 2 numbers [n = 2] : [tex]\sqrt[2]{\sf x_1 \cdot x_2 }[/tex]

A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 6.

Answers

Based on the data set given in the frequency table, the number of values that are less than or equal to 6 is 18.

How many values are less than or equal to 6?

The value that will be less than or equal to 6 are those that are valued at 6 or below.

The sum of these values are:

= 2 + 3 + 6 + 4 + 3

= 18

In conclusion, 18 values are less than or equal to 6.

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Write the range of each function for the given domain:
f(x) = 3 + 2x; Domain = {-8, 4)

Answers

Answer:

the range of each function for the given domain are the step of 3+2x are equal the -8,4

Brian has earned 65%, 80% and 92% on his three pre-final exams. These exams are not weighed equally: the lowest counts for only 20% of his overall grade, while the other two count for 25% each. If the final exam is the remainder of the overall grade and there are no opportunities for extra credit, what is the highest grade Brian can earn in the class? Express your answer to the nearest whole percent.

Answers

Answer:

89.25%

Step-by-step explanation:

65 is the lowest so it only counts for 20% of the grade

65*0.2=16.25

80*0.25=20

92*0.25=23

There is 30% left and 100% is the highest score

100*0.3=30

16.25+20+23+30=89.25

Answer:

86%

Step-by-step explanation:

From the information give:

Exam 1

Exam result = 65%

Overall grade weighting = 20%

⇒ Credit = 65% of 20% = 0.65 × 0.2 = 0.13 = 13%

Exam 2

Exam result = 80%

Overall grade weighting = 25%

⇒ Credit = 80% of 25% = 0.8 × 0.25 = 0.2 = 20%

Exam 3

Exam result = 92%

Overall grade weighting = 25%

⇒ Credit = 92% of 25% = 0.92 × 0.25 = 0.23 = 23%

Final Exam

The highest grade Brian can earn = 100%

Overall grade weighting = 100% - 20% - 25% - 25% = 30%

⇒ Credit = 100% of 30% = 1 × 30% = 30%

Highest potential class grade

Sum of each exam credit:

⇒ 13% + 20% + 23% + 30% = 86%

Therefore, the highest grade possible that Brian can earn in the class is 86%.

Problem
(a) Find x given that [tex]4x^2=2[/tex]
(b) Let x = 1.1609... be the positive real number such that [tex]4^x=5[/tex]. Prove that x is irrational.

Answers

The value of x is ±0.7071 and x is an irrational number

How to solve for x?

The equation is given as:

[tex]4x^2 = 2[/tex]

Divide by 4

[tex]x^2 = 0.5[/tex]

Take the square roots

[tex]x = \pm 0.7071[/tex]

Hence, the value of x is ±0.7071

How to prove that x is irrational?

The equation is given as:

[tex]4^x = 5[/tex]

Take the logarithm of both sides

[tex]x\log(4) = \log(5)[/tex]

Divide both sides by log(4)

x = 1.16096....

The above number is a non-terminating decimal.

Non-terminating decimals cannot be represented as fractions of two integers

Hence, x is an irrational number

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Write the sentence as a proportion.
1(1)/(2) cups of milk is to 10 bagels as (3)/(4) cups of milk is to 5 bagels

Answers

The proportion would be something like 1.5/10 = .75/5

[tex](4 * 3^x)'[/tex]

Evaluate

Answers

Answer:

[tex]\approx 4.39 \cdot 3^x[/tex]

Step-by-step explanation:

Recall a property:

[tex](c\cdot f(x))'=c\cdot f(x)'[/tex], where [tex]c[/tex] is a constant.

Apply the property to the task:

[tex](4\cdot 3^{x})'=4\cdot (3^x)'[/tex]

Recall a property of the derivative of an exponential function:

[tex](a^x)'=a^x \cdot \ln{a}[/tex]

Apply the property to the task:

[tex]4\cdot 3^x \cdot \ln 3[/tex]

Since [tex]\ln 3\approx 1.0986[/tex], it follows:

   [tex]4\cdot 3^x \cdot \ln 3 \approx 4\cdot 1.0986 \cdot \ln3[/tex]

Multiply the numbers.

The answer is about [tex]4.39\cdot 3^x[/tex].

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7. Find an equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4. Question 3B16 cm38-CCalculate the length of AB to 2 decimal places. I need help with this geometry question. How are the lysogentic and lytic cycles different? The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 36 hours and the median is 32.2 hours. Twenty-four of the families in the sample turned on the television for 21 hours or less for the week. The 11th percentile of the data is 21 hours.Step 1 of 5 : Based on the given information, determine if the following statement is true or false.The 54th percentile is greater than or equal to 31 hours.true or false In the following circuit, C1=10.0 F, C2=2*10.0 F, C3=2*10.0 F, C4=2*9.4 F, andC5=3*9.4. Calculate the equivalent capacitance in the circuit.Your Answer: Which of thefollowing is aform ofelectromagneticradiation?A. soundB. lightC. gravityD. strong nuclearforce The graph of f(x) = x2 is translated to form g(x) = (x 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8). Whats the length of three pieces of pipe if they all equal 72m How does description in broken chain help develop the theme the way you look does not always reflect who you want to beuse examples from the story in your parapgrah The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is 4.9 m/s2.An object is launched at an initial velocity of 19.6 meters per second from an initial height of 24.5 meters. Which equation can be used to find the number of seconds it takes the object to hit the ground?a)0 = 4.9t2 + 19.6t + 24.5b)0 = 4.9t2 + 24.5t + 19.6c)19.6 = 4.9t2 + 24.5td)24.5 = 4.9t2 + 19.6t How does the author think McCandless really died?Select one:a. He ate spoiled moose meat and got food poisoning as a result.b. He died of hypothermia contracted while attempting to cross the Teklanika river.c. He starved to death.d. He ate the wrong type of seed.e. The seeds he ate were moldy. Listen, read the question and choose the option with the correct answer.Based on the audio, what will she most likely be eating or preparing? Cake Fruit salad An omelet Vegetable salad Read the passage from the opinion of the court inDred Scott v Sandford, written by Justice Taney.The question then arises, whether the provisions ofthe Constitution, in relation to the personal rights andprivileges to which the citizen of a State should beentitled, embraced the negro African race, at that timein this country, or who might afterwards be imported,who had then or should afterwards be made free inany State, and to put it in the power of a single Stateto make him a citizen of the United States, and enduehim with the full rights of citizenship in every otherState without their consent? Does the Constitution ofthe United States act upon him whenever he shall bemade free under the laws of a State, and raised thereto the rank of a citizen, and immediately clothe himwith all the privileges of a citizen in every other State,and in its own courts?Mark this and return19Why is Justice Taney's argument ineffective?O He uses the freedom of African Americans asevidence.O He uses a previous status of African Americans asevidence.O He uses the dissenting argument of the court asevidence.O He uses the ruling of the previous court asevidence. 11. A rectangle is graphed on a coordinate plane. The coordinates for two of thevertices of the rectangle are (-5,8) and (-5, -6). What is the distance between thetwo vertices?A2 unitsBC4 units10 unitsD 14 units Characters often take risks. For this forum, identify a character from a text you have read and explain the risk that he or she took. Then explain if you think the risk was worth it. To earn credit for this forum, state the name of the character, the title of the work, and the author.PLS ANSWER ASAP I WILL GIVE BRAINLYESS Fill in the blanks in the table. Assume that the going wage for these workers is $500 perweek. If the wage is $500, how many workers would the ranch hire ? You are asked to improve a test measuring a construct of your choice. First, identify the construct the test is measuring. Then, describe what you would do to improve the test and why. What method of estimating reliability would you use for your test and why? (Note: not every reliability method is appropriate for every type of test!) Please come up with three examples of what you believe has caused past errors in your test score. Next, classify each source of error as a method error or trait error, and whether or not you believe this had a negative or positive effect on the obtained score I need at least one outside reference. Already tried simplifying and dividing, but i didn't get the correct answer. Could a step by step explanation be provided so i know how to do this in the future? help meee please20 points