i need help asap :(​

 I Need Help Asap :(

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Firstly, perpendicular line has a slope that is "negative reciprocal" of the given line's slope.

The equation of a line is  y = mx + b

Where m is the slope and b is the y-intercept

So, the given line has a slope of "-4", hence the perpendicular line would have a slope of "1/4". So immediately we can eliminate Answer Choice "A".

Now, let's see which of the other choices is our correct answer. Since we know this line has slope of "1/4", we can write:

y = (1/4)x + b

Given the point (4,5), we can replace "x" with "4" and "y" with 5 and find b:

[tex]y=\frac{1}{4}x+b\\5=\frac{1}{4}(4)+b\\5=1+b\\b=5-1\\b=4[/tex]

So, the equation is:

[tex]y=\frac{1}{4}x+4[/tex]

Correct answer is D


Related Questions

2,952 = 72=
It’s is another hard question on my math homework pls help

Answers

Answer:41

Step-by-step explanation:

I have a precalculus problem about solving the equation can somebody help me please

Answers

Answer:

Yeah

Step-by-step explanation:

find a formula

Mitchell owns 6 pairs of hockey skates. What equation could Gabe write to find the total number of hockey skates Mitchell has?​

Answers

Answer: 6x2=y

Step-by-step explanation:

If Mitchell owns 6 pairs of hockey skates, then The equation for the number of hockey stakes can be written as, X - 12 = 0

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

Mitchell owns 6 pairs of hockey skates,

The equation for number of hockey stakes  = ?

Suppose, the number of hockey stakes = X

According to given condition,

there are 6 pairs,

It is known that,

1 pair = 2 hockey stakes

So,

The equation is,

X = 2 x Number of pairs,

X = 2 x 6

X = 12

Hence, the equation is X - 12 = 0

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The function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, find the resulting function.

Provide your answer below:

Answers

Answer:

1/2e^x -3

Step-by-step explanation:

Final answer:

The resulting function after vertically stretching y = ex by a factor of 2, reflecting it across the x-axis, and shifting it down 3 units is y = -2ex - 3.

Explanation:

The original function is y = ex. To find the resulting function after the described transformations (vertically stretched by a factor of 2, reflected across the x-axis, and shifted down 3 units), we perform each transformation step by step.

Vertical Stretch: Multiplying the function by 2 gives us 2ex.Reflection across the x-axis: Multiplying by -1 to reflect it gives us -2ex.Shift down by 3 units: Subtracting 3 from the function gives us -2ex - 3.

Therefore, the resulting function after all transformations is y = -2ex - 3.

What is 53 divided by 30?

Answers

Answer:

1.76666666666666666

Answer:

53/30=1.7666666...

Step-by-step explanation:

What is the image of −6,3)
(−6,3) after a reflection over the y-axis?

Answers

The image is (6,3) after a reflection over the y-axis

Final answer:

The image of the point (-6,3) after a reflection over the y-axis is (6,3), because a reflection over the y-axis changes the sign of the x-coordinate while leaving the y-coordinate unchanged.

Explanation:

The question is asking for the result of a reflection of the point (-6,3) over the y-axis. A reflection over the y-axis will invert the x-coordinate of the point but leave the y-coordinate unchanged. Hence, the reflected point will have the same y-coordinate but the opposite x-coordinate. The transformation formula for a reflection over the y-axis is (x, y) to (-x, y).

Applying this formula to the point (-6,3), we change the sign of the x-coordinate from -6 to 6, while the y-coordinate remains the same. Therefore, the image of the point (-6,3) after the reflection over the y-axis is (6,3).

what is the answer to 5.48 * 15.12​

Answers

Answer:

82.8576

Step-by-step explanation:

82.8576 or if it needs to be a decimal 51786/625

3 1⁄2 kilometers = hectometers

Answers

Answer:

35 hectometers

Step-by-step explanation:

1 kilometer=10 hectometers

3 1/2=7/2

7/2*10=35

Answer:

[tex]\large\boxed{3\dfrac{1}{2}\ kilometers=35\ hectometers}[/tex]

Step-by-step explanation:

[tex]PREFIXES\\\\mega\ (M)=10^6\\\\kilo\ (k)=10^3\\\\hecto\ (h)=10^2\\\\deko\ (da)=10\\\\decy\ (d)=10^{-1}=0.01\\\\centi\ (c)=10^{-2}=0.01\\\\mili\ (m)=10^{-3}=0.001\\\\mikro\ (\mu)=10^{-6}=0.000001[/tex]

[tex]3\dfrac{1}{2}=3.5\\\\1\ kilometers=10\ hectometers\ (1\ km=10\ hm)\\\\3\dfrac{1}{2}\ km=3.5\ km=3.5\cdot10\ hm=35\ hm[/tex]

What triangle congruence postulate would prove that the two triangles are congruent?

Answers

Answer:

SAS

Step-by-step explanation:

Select the correct answer from the drop-down menu.
If A and B are independent events, P(A and B) =

Answers

P(a)

Explanation I just did it :)

For independent events A and B, the probability of both occurring P(A and B) is the product of their individual probabilities: C. P(A) * P(B).

What are independent events?

Independent events are events in probability theory where the occurrence of one event does not affect the occurrence or likelihood of the other.

Let's use the definition of independent events to derive the formula for the probability of the intersection of two independent events.

If events A and B are independent, then the definition of independence is given by:

P(A and B) = P(A) * P(B)

This means that the probability of both events A and B occurring is the product of the individual probabilities of A and B.

So, if A and B are independent events, P(A and B) = P(A) * P(B). Therefore, the correct answer is C. P(A) * P(B).

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The temperature increased 16°C
during the morning. At noon the
temperature was 13°C. What was
the beginning temperature, t?

Answers

Answer:

-3°

Step-by-step explanation:

13°-16°=(-3°)

If h(x)=x-7 and g(x)=x^2, witch expresión is equivalent to(g*h)(5)?

Answers

Answer: 4

Step-by-step explanation:

(g*h)(5) = 4

Firstly, h(5) = 5 - 7 = -2

Then, evaluate g(-2) = (-2)^2 = 4

How can ΔABC be mapped to ΔXYZ?

Triangles A B C and X Y Z are shown. The lengths of sides A B and X Y are 25 centimeters. The lengths of sides A C and X Z are 29 centimeters. Angles B A C and Y X Z are 36 degrees. Triangle A B C is slightly higher and to the left of triangle X Y Z. Triangle A B C is rotated to form triangle X Y Z.

First, translate ____________________. Next, rotate ΔABC about B to align the sides and angles.

vertex B to vertex Z
vertex B to vertex Y
vertex A to vertex Z
vertex A to vertex Y

Answers

Answer:

Vertex B to vertex Y

Step-by-step explanation:

The diagram shows two triangles ABC and XYZ. These triangles are congruent by SAS postulate, because

AB = XY = 25 cm;AC = XZ = 29 cm;∠A = ∠X = 36°.

Congruent triangles have congruent corresponding sides and angles, so translation and rotation must be completed such that

vertex A coincides with vertex X;vertex B coincides with vertex Y;vertex C coincides with vertex Z.

So, first, translate vertex B to vertex Y. Next, rotate ΔABC about B to align the sides and angles.

12 is at most a number decreased by seven

Answers

Answer:

12 ≤ x - 7

Step-by-step explanation:

let "x" represent the number

The term decreased means subtraction.

The problem indicates that 12 cannot be greater than a number decreased by 7. Use ≤ which means less than or equal to.

≤ less than or equal to 12 means that 12 is the maximum value.

Bella plans to put $300 into a savings account. She can place her money into an account represented by p(x) = 3x+300, or into another account represented by
n(x) =300(1.04)^x. Which account has the highest value in 5 years? Which account has the highest in 12 years? Show your work!​

Answers

Answer:

3(5) + 300 = 15 + 300 = 315

300(1.04)^5 = 300 * 1.21665 = 365

In 5 years, the second account is higher.

3(12) + 300 = 336

300(1.04)^12 = 300 * 1.601 = 480

In 12 years, the second account is higher

how can you find the function rule from a table of values

Answers

Go to BTS channel it will give you the answer

What is the perimeter of a rectangle with a length of 9 - 2y and width of 7?

Answers

Answer:

The perimeter of the rectangle is 32 - 4y

Step-by-step explanation:

To find the perimeter, we will simply follow the steps below;

First write down the formula for finding the perimeter of a rectangle

The formula for finding perimeter in a rectangle is;

perimeter = 2l +2w

where l= length  of the rectangle  and   w is equal to width of the rectangle

From the question given, length =9 - 2y      and width =7

We can now proceed to insert the values into the formula;

perimeter = 2l +2w

                 =2(9-2y) + 2(7)

Then we will now simplify

perimeter  =2(9-2y) + 2(7)

                 =18 - 4y + 14

                = 18 + 14 - 4y

                 =32 - 4y

Therefore, the perimeter of the rectangle is 32 - 4y

The perimeter of the rectangle is 32-4y.

Step-by-step explanation:

Given information:

The length of the rectangle = 9-2y

The width of the rectangle = 7

Now

The perimeter (P) of the rectangle is :

[tex]P = 2( \text{Length} + \text{width})[/tex]

[tex]P= 2(9-2y+7)\\P=18-4y+14\\P=32-4y[/tex]

Hence, the perimeter of the rectangle is 32-4y.

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A piggy bank contains $5.60 in nickels and dimes. The number of nickels is 8 less than 3 times the dimes. How many nickels and dimes are there in the piggy bank?
The piggy bank has nickels and dimes.

Answers

Answer:

64 nickels and 24 dimes are there in the piggy bank.

Step-by-step explanation:

There are  $5.60 in the piggy bank in nickels and dimes.

Let x number of nickels and y number of dimes are there.

Now, 1 nickel ≡ 0.05 dollars and 1 dime ≡ 0.1 dollars.

So, 0.05x + 0.1y = 5.6

⇒ 5x + 10y = 560

x + 2y = 112 ....... (1)

Again, from the condition given we can write that,

So, 3y - 8 = x ........ (2)

Now, solving (1) and (2) we get 3y - 8 + 2y = 112

⇒ 5y = 120

y = 24  

And from equation (2) we get x = 3y - 8 = 64.

So, there are 64 nickels and 24 dimes in the piggy bank. (Answer)

Answer:

 64 nickels and 24 dimes in the piggy bank.

Step-by-step explanation:

Jo is thinking of a number. Four less than 9 times the number is 176. Find Jo’s number.

Answers

Answer:

Jo's thinking about the number 20.

Step-by-step explanation:

9x-4=176

9x=176+4

9x=180

x=180/9

x=20

You go to a school dance. There is an entrance fee, and there are slices of pizza for sale. After having 1 slice of pizza, you have spent a total of $6. After having 2 more slices of pizza, you have spent a total of $10. Write an equation that represents the total cost y after buying x slices of pizza at the dance

Answers

Answer:

Equation that represents the total cost is  y =  4 +  2 x

Step-by-step explanation:

Here,  x :  slices of pizza eaten at the dance.

y :  total cost paid in the school dance

Let a : Cost of each slice of pizza.

So, according to the question:

Entrance fee + cost 1 slice of pizza = $6

or, Entrance fee = $ 6 - Cost of 1 slice  .......  (1)

Similarly, Entrance fee + cost 3 slice of pizza = $10

or, Entrance fee = $ 10 - Cost of 3 slice ............ (2)

Comparing both equation , we get:

$ 6 - Cost of 1 slice = $ 10 - Cost of 3 slice

or, 6 - a  = 10 - 3 a

or, 2 a  = 4

a= 2, So the cost of each slice of pizza = $2

Putting the value of a in 1 we get

Entrance fee =  6 - $ 2 =$4

Now, the cost of x slice of pizza = x ( $2) = 2x

So, the total cost y for x slice of pizza = Entrance fee+ Cost of x  slices

or,  y = $ 4 +  2 x

Equation that represents the total cost is  y =  4 +  2 x

Final answer:

The equation that represents the total cost y after buying x slices of pizza is y = 2x + 4, which includes the cost of each slice of pizza ($2) and the entrance fee ($4).

Explanation:

To write an equation that represents the total cost y after buying x slices of pizza at the dance, you can use the information given to create two points: (1, $6) and (3, $10). From the first point, you know there is a fixed entrance fee plus the cost of one slice of pizza. By the time you purchase two more slices (for a total of three), the cost is $10. This scenario implies that each additional slice of pizza has a constant price.

With two points, you can find the slope of the line, which represents the price of each slice of pizza. The slope m is the change in cost divided by the change in the number of slices: m = ($10 - $6) / (3 - 1) = $4 / 2 = $2 per slice. The entrance fee is the y-intercept of the line, which is the initial cost without any pizza, and can be found by extending the line back to the y-axis. The total cost without any pizza is the cost after one slice minus the cost of that slice, which gives us $6 - $2 = $4.

The final equation becomes y = 2x + 4, where y represents the total cost and x represents the number of slices of pizza purchased.

answer the question below please answer correctly

Answers

Answer:

x=4

Step-by-step explanation:

Using cross multiplication, we can simplify the equation to

-15x=-60

Then we can divide by -15 on both sides getting x=4

how much horsepower would a Challenger SRT® Hellcat Redeye Widebody need to tow the SS Delphine up the industry standard: Davis Dam Grade Climb?

Pro Tips:
Davis Dam assumed grade = 7% Air density is sea level conditions (.002377 slugs/f^t3) w(weight) of the SS Delphine + trailer + Redeye = 3,922,000 + 150,000 + 4451 Lbs Crr = coefficient of rolling resistance = .015 Assume Combined CDA is 1555 ft^2 SAE J2807 (Davis Dam Grande Climb) - min speed is 40mpg (59 ft/s) F(drag) = 1/2p x V^2 x C(d)A F(rolling resistance) = W x cos x Crr F(weight) = W x sin F(sum) = F(drag) + F(rr) + F(weight) P = F(sum)XV convert to horsepower = P(1hp/550ft lbf/sec)

Answers

Answer: I am getting a result around the 54,800 area, so I am selecting the 55,000 HP answer.

Answer:

37769 hp

Step-by-step explanation:

from the pro tips given w ( weight of the SS Delphine + trailer + Redeye) = 3922000 + 150000 + 4451 Lbs Crr = 4076451 ibf

coefficient of rolling resistance = 0.015

Combined CDA = 1555 ft ^2

to get Ф = tan ⁻¹ ( 0.07 ) = 4.0041 degrees

To get F (w)  you will multiply it with sin Ф

= F ( w ) = 4076451 ibf * sin( 4.0041 ) = 284655.02 Ibf

to calculate F ( rr ) you will multiply it with cos Ф

F( rr) = 4076451 ibf * 0.015 * cos ( 4.0041 ) = 60997.50 ibf

the total sum of F ( force ) will be

F ( rr ) + F ( w)

= 60997.50 + 284655.02 = 352085.82 Ibf

therefore P ( power ) will be

p = 352085.82 ibf * 59 ft/s = 20773063.27 ft*ibf/s

to calculate how much horsepower the challenger will need to tow the SS Delphine will be calculated as below

HP = (20773063.27 ft*ibf/s ) * ( 1 hp / 550 ft*ibf/s ) = 37769.21 = 37769 hp  

Parallelograms:
ABCD∼A1B1C1D1.
Find BC, B1D1

Answers

Answer:

[tex]BC = 4.8[/tex] and [tex]B_{1}D_{1} = 6.25[/tex]

Step-by-step explanation:

The parallelograms ABCD and [tex]A_{1} B_{1} C_{1}D_{1}[/tex] are similar.

Now, AB = 8 (Given in the figure), so CD = 8.

Now, we can write, [tex]\frac{BC}{B_{1}C_{1}}  = \frac{CD}{C_{1}D_{1}}[/tex]

⇒ [tex]\frac{BC}{3} = \frac{8}{5}[/tex]

{Since, given that [tex]B_{1}C_{1} = 3[/tex] and [tex]C_{1}D_{1} = 5[/tex]}

[tex]BC = \frac{8 \times 3}{5} = 4.8[/tex] (Answer)

Again, we can write, [tex]\frac{BD}{B_{1}D_{1}}  = \frac{CD}{C_{1}D_{1}}[/tex]

⇒ [tex]\frac{10}{B_{1}D_{1}} = \frac{8}{5}[/tex] {Since, BD = 5 + 5 = 10}

[tex]B_{1}D_{1} = \frac{5 \times 10}{8} = 6.25[/tex] (Answer)

PLEASE HELP ASAP!!!

What is the approximate area of sector TSV?
Round the answer to the nearest tenth.

A. 3.1 m^2

B. 2.3 m^2

C. 1.1 m^2

D. 0.5 m^2

Answers

Answer:

C)  The area of the sector TSV  = 1.1 sq m.

Step-by-step explanation:

Here, the angle subtended by TSV at  the center of the circle  = 3 radians.

1 Radians = 57.2958°

So, 3 radians   = 3 x 57.2958 = 171.887 °

The angle of the sector TSV = 171.887 °

Now, the angle of any sector of a circle with angle Ф at the center  

=  [tex]\frac{\theta}{360}  \times \pi \times (r^2)[/tex]

Here, r  = 0.87 m

So, the area of the sector TSV  =  [tex]\frac{171.887}{360}  \times \frac{22}{7} \times (0.87)^2 = 1.1358[/tex]

or, the area of the sector TSV  = 1.13 sq m.

Now, rounding off the area to the nearest tenth ,we get:

The area of the sector TSV  = 1.1 sq m.

Which equation shows y=-x+4 is in standard form?
2x - y=8
Ox+2y=-8
O
x + 2y = 8
2x + y = 8

Answers

Answer:

(c) [tex]x + 2y = 8[/tex]

Step-by-step explanation:

The question is missing some important data which is necessary to solve it.

The correct question is as follows:

Which equation shows [tex]y=-\frac{1}{2}x+4[/tex] is in standard form?

(a) [tex]2x-y=8[/tex]

(b) [tex]x + 2y=-8[/tex]

(c) [tex]x + 2y = 8[/tex]

(d) [tex]2x + y = 8[/tex]

Solution:

Given equation:

[tex]y=-\frac{1}{2}x+4[/tex]

To convert the given equation to standard form.

The standard form of a linear equation is given by:

[tex]Ax+By=c[/tex]

where

A is a positive integer  and B and C are integers

We have:

[tex]y=-\frac{1}{2}x+4[/tex]

Multiply both sides by 2  to remove the fraction

[tex]2y=(-\frac{1}{2}x\times 2)+(4\times 2)[/tex]

[tex]2y=-x+8[/tex]

Adding [tex]x[/tex] both sides

[tex]x+2y=x-x+8[/tex]

[tex]x+2y=8[/tex]

∴ The standard form of the equation is ⇒ [tex]x+2y=8[/tex]

Match the real-world problem to its constant of proportionality.

a. $18.36 for 3 pizzas [box]
b. $4.17 for 3 pounds of bananas [box]
c. $16.48 for 4 pounds of potatoes [box]
d. 2 cups of flour to make 24 cookies [box]


Place in the box 12 4.12 6.12 1.39

WIN BRAINLIEST

Answers

Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒[tex]x \propto y \implies k = \frac{x}{y}[/tex]  

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here, [tex]k = \frac{x}{y} = \frac{18.36}{3}  = 6.12[/tex]

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, [tex]k = \frac{x}{y} = \frac{4.17}{3}  = 1.39[/tex]

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, [tex]k = \frac{x}{y} = \frac{16.48}{4}  = 4.12[/tex]

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  [tex]k = \frac{x}{y} = \frac{24}{2}  = 12[/tex]

So, the proportionality constant is 12.

Jerry has 9 keys on his keyring. 4 of them are silver and 5 are gold. If he randomly chooses a key.
what is the probability that the key would be silver?

Answers

the answer would be 4/9 , which cannot be simplified .

Answer:

Silver keys = 4

Gold keys = 5

Total number of keys = 9

probability of getting a silver key = P(4/9)

Step-by-step explanation:

P(4/9) because 4 keys are silver among 9 keys. Probability is the number of chosen matter divided by the total number of matters.

a male lion eats about 108 pounds of meat in a week about how much does it eat in a day

Answers

Answer:

15.43 pounds of meat in a day

Step-by-step explanation:

108 pounds per week,

1 week=7 days,

108/7=15.43

Answer:

15 remainder 3

Step-by-step explanation:

108÷7

7 because 1 week= 7 days

108÷7=

15 remainder 3

Peter filled 5 cups each with 1 pound of candy. How much candy did the 5 cups contain altogether? 5 1/2 pounds
6 1/2 pounds 7 pounds 7 1/2 pounds

Answers

Step-by-step explanation: i think it is B

Write the word sentence as an inequality.
The quotient of a number g and -2 is fewer than -6.
An inequality is a

Answers

Answer:

[tex]\displaystyle -6 > \frac{g}{-2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{g}{-2} < -6[/tex]

The keywords are fewer than, so the inequality receives the less than symbol, NOT greater than or equal to.

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

The word sentence translates to the inequality 'g / -2 < -6', representing the relationship where the quotient of a number g and -2 is less than -6.

Writing the word sentence 'The quotient of a number g and -2 is fewer than -6' as an inequality involves translating the words into a mathematical expression. Inequality symbols are used to show how two measurements, or in this case, expressions, are related. The quotient of a number and another number is represented by the division of those two numbers. 'Fewer than' indicates that the expression on the left side is less than (<) the expression or value on the right side.

Therefore, the statement can be translated to the mathematical inequality as g / -2 < -6. This inequality shows the relationship between the variable g and the numbers -2 and -6, with the quotient of g and -2 being less than -6.

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Of 1000 homeowners insured with Crown Insurance, 250 live in a flood plain, 150 live in an area with frequent tornadoes, 100 live in earthquake prone regions, and the remaining 500 reside in small communities located in less hazardous regions. Which of the following will likely apply to the low-risk group of homeowners? Group of answer choices the low and medium-risk groups will pay less than the high-risk group those in the low-risk group will be discouraged from buying home insurance. they must buy insurance and pay more than the actuarially fair amount for their risk group those in the low-risk group will pay less than both the medium-risk and high-risk group What is the capital of Ohio Assume that IQ scores are normally distributed, with a standard deviation of 11 points and a mean of 100 points.If 85 people are chosen at random, what is the probability that the sample mean of IQ scores will not differ from the population mean by more than 2 points? Will Award Brainliest...The table below shows the amount g(r), in dollars, after r yearsr(number in years) 1///2g(r) (amount in dollars)9,638///18,794.10what was the percent change from year 1 to year 2? (7%) Problem 5: A thermos contains m1 = 0.73 kg of tea at T1 = 31 C. Ice (m2 = 0.095 kg, T2 = 0 C) is added to it. The heat capacity of both water and tea is c = 4186 J/(kgK), and the latent heat of fusion for water is Lf = 33.5 104 J/kg. dho32@student.mtsac.edu Jim went to a carnival with $25.00. He bought some food for $3.75. Jim wants to spend the rest of his money on tickets for rides, r, which cost $1.25 each. Which represents, r, the number of tickets Jim can purchase? (A) r less than equal 17(B) r greater than equal 17(C) r less than equal 20(D) r greater than equal 20 A student accepted into a nursing program must begin receiving the hepatitis B series of injections. The student asks when the next two injections should be administered. What is the best response by the instructor?a) "You must have the second one in 1 year and the third the following year."b) "You must have the second one in 2 weeks and the third in 1 month."c) "You must have the second one in 1 month and the third in 6 months."d) "You must have the second one in 6 months and the third in 1 year." Find the percentage of vacationers fromquestion 10 who spent between $1500and $2000. If a perfectly competitive firm with constant returns to scale was reorganized as a monopoly, its monopoly price would be ________ the perfectly competitive price and its monopoly output would be ________ the perfectly competitive output. 1. The enrollment of a school in 2000 was 1200.Since then, It has increased at a rate of 35students per year. Write an equation torepresent the enrollment of the school eachyear after 2000. Identify your variables. a) What is the rate of change?b) What is the initial valuec) What is the independent variable?d) What is the dependent variable Maryams wallet contains a combination of $5 and $10 bills. What is the ratio of $5 bills to $10 bills? (1) The ratio of the number of bills to the total dollar value is 1/9. (2) The total dollar value of the bills is $360. Carefully study the chart above. In which countries are a majority of people Christians?A. Barbados only.B. Barbados and Brazil only.C. Barbados, the Dominican Republic, Brazil, and Mexico.D. In none of the countries are a majority of people Christians. Graph of 1/sinx.When x=0, the function goes to infinity and the function is even.Is it correct to say that since it is periodic, the graph of 1/sinx will be the copy of the function, but in the other direction? Is it correct for all periodic functions? Read the passage from chapter 17 of The Prince.Therefore a prince, so long as he keeps his subjects united and loyal, ought not to remind the reproach of cruelty; because with a few examples he will be more merciful than those who, through too much mercy, allow disorders to arise, from which follow murders or robberies; for these are wont to injure the whole people, whilst those executions which originate with a prince offend the individual only.Which statement best summarizes the authors claim?A cruel prince risks robberies and murders.A cruel prince may be better for his subjects in the long run.A cruel prince should not mind having murders and robberies.A cruel prince will always have subjects who work hard for him. In the xy coordinate plane the slope of line p is 1 2 and its x-intercept is -3. Find the equation of a line that is perpendicular to p and intersects p at is x-intercept. A)y = -2x - 3 B)y = -2x + 3 C)y = -2x - 6 D)y = -2x + 6 A very large study showed that aspirin reduced the rate of heart attacks by 44%. A pharmaceutical company thinks they have a drug that will be more effective than aspirin, and plans to do a randomized clinical trial to test the new drug. State the null hypothesis and the alternative hypothesis they should use for completing a hypothesis test. 3 3/5 divided by 2 1/4 in simplest form An open-topped glass aquarium with a square base is designed to hold ~62.5~ 62.5 space, 62, point, 5, space cubic feet of water. What is the minimum possible exterior surface area of the aquarium? All Kiwi Ltd (a New Zealand-based company) has a wholly-owned subsidiary in Malaysia whose manager is being evaluated on the basis of the variance between actual profit and budgeted profit in New Zealand dollars (NZD). Relevant information in Malaysian ringgit (MYR) for the current year is as follows: Budget Actual Revenues MYR 12,000,000 MYR 11,000,000 Expenses 9,000,000 9,000,000 Current year actual and projected exchange rates between the New Zealand dollar (NZD) and the Malaysian ringgit (MYR) are as follows: Actual at time of budget preparation NZD 0.312 per MYR 1 Projected ending at time of budget preparation NZD 0.340 per MYR 1 Actual at end of budget period NZD 0.357 per MYR 1 Required: Calculate the total budget variance for the current year using the exchange rate that exists at the time the budget is prepared.Required: Calculate the total budget variance for the current year using the exchange rate that exists at the end of the budget period. Required: Calculate the total budget variance for the current year using a projected exchange rate (projected at the time the budget is prepared). Stacey is almost 3 years old and is recently potty trained. Her parents just welcomed a new baby into their home, and Stacey not only begins to go to bathroom in diapers again, but also starts sucking her thumb. Which defense mechanism is Stacey displaying?