Given the measure -845°, which answer choice correctly gives an angle measure coterminal with the given angle and on the interval,0 < 0 < 360

Given The Measure -845, Which Answer Choice Correctly Gives An Angle Measure Coterminal With The Given

Answers

Answer 1

Given the measure -845° we can find its coterminal measure on the interval, [0,360) below

Explanation

For angles measured in degrees

[tex]\begin{gathered} β=α±360*k,where\text{ }k\text{ }is\text{ }a\text{ }positive\text{ }integer \\ -845°=\frac{-169}{36}π≈-4.694π \\ Coterminal\text{ }angle\text{ }in\text{ \lbrack}0,360°)range:\text{ 235\degree, located in the third quadrant.} \end{gathered}[/tex]

Answer: Option A


Related Questions

Drag the tiles to the boxes to form correct pairs.Match each set of vertices to the triangle they form.acute equilateralright isoscelesacute isoscelesA(3,5),B(3,4),C(5,4)A(2,4), B(4,5), C(3,6)A(3,5),B(5,6),C(3,0)A(2,4),B(3,5), C(2,6)obtuse scaleneright scalene

Answers

Explanation

Step 1

Plot the triangles

let

A)

we can see that angle in B is 90 ° and length AB is different to BC, When one of the three angles measure 90 degrees and the angles or lengths of other two sides are not congruent, then the scalene triangle is called right scalene triangle

right scalene

Step 2

triangle 2

[tex]A(2,4)\text{ B\lparen4,5\rparen c\lparen3,6\rparen}[/tex]

in this case, we have that length AC equlas AB,also we can see that angle A is smaller than 90 ° ,an acute angle measure less than 90 degrees,so

so

[tex]AC=AB[/tex]

a triangle in which two sides have the same length is called acute isosceles

Step 3

A(3,5),B(5,6),C(3,0)

an obtuse scalene triangle can be defined as a triangle whose one of the angles measures greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees. All three sides and angles are different in measurement.so this is an

obtuse scalene

Step 4

finally, A(2,4),B(3,5), C(2,6)

An isosceles right triangle is defined as a right-angled triangle with an equal base and height which are also known as the legs of the triangle.

we can see that

[tex]\begin{gathered} m\angle B=90 \\ AB=BC \end{gathered}[/tex]

therefore, this is an

rigth isosceles

I hope this helps you

Answer:(3,5) (4,5) (3,6)

acute isosceles

Step-by-step explanation:


you can help me ??? only 24, 26 and 27

Answers

Answer:

∠VYZ = 65

∠VXY = 75

∠WZY = 50

∠XWZ = 80

∠WXY = 150

Explanation:

The angle ∠VYZ and the angle ∠VZY are complementary , meaning they add up to 90 degrees. Since ∠VZY = 25 we have

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In a test of a sex-selection technique, results consisted of 284 female babies and 15 male babies. Based on this result, what is the probability of a female being born to
a couple using this technique? Does it appear that the technique is effective in increasing the likelihood that a baby will be a female?
The probability that a female will be born using this technique is approximately
(Type an integer or decimal rounded to three decimal places as needed.)
Does the technique appear effective in improving the likelihood of having a female baby?
O No

Answers

The probability of being a girl child to a couple is 0.9498

Yes, this technique appear effective in improving the likelihood of having a female baby

Given,

In a sex selection technique,

The number of female babies in the result = 284

The number of male babies in the result = 15

Total children = 284 + 15 = 299

We have to find the probability of being a girl child;

Probability;

Probability refers to potential. Probability values are limited to the range of 0 to 1. Its fundamental notion is that something is probable to occur. It is the proportion of favorable events to all other events.

Here,

The probability of being a girl child, P = 284/299 = 0.9498

That is,

The probability of being a girl child to a couple is 0.9498

Yes, this technique appear effective in improving the likelihood of having a female baby

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Find the value when x = 2 and y = 3.x ^-3y^ -3A. 54B. 216C. 1/216

Answers

Explanation:

x ^-3y^ -3

Consider the following expression-x + 8x2 - 9x?Step 2 of 2: Determine the degree and the leading coefficient of the polynomial.

Answers

Solution

For this case we have the following polynomial:

[tex]-x+8x^2-9x[/tex]

For this case the higher degree is 2 then the answer is:

Degree= 2

Leading Coefficient of the polynomial: 8

gabriella bought two hoodies that were $15 each. The store was having a sale, everything in the store 15% off. If the sales tax on the purchase was 8%, what was the final cost of the hoodie?

Answers

Given:

The cost of each hoodie is, C = $15.

The discount percentage is, d = 15%.

The tax percentage on purchase is t = 8%.

The objective is to find the final cost of the hoodie.

The selling price of one hooie can be calculated as,

[tex]\begin{gathered} SP=c-d \\ =15-(\frac{15}{100}\times15) \\ =15-2.25 \\ =12.75 \end{gathered}[/tex]

Now, by adding sales tax to the selling price the final cost will be,

[tex]\begin{gathered} FC=SP+t \\ =12.75+(\frac{8}{100}\times12.75) \\ =12.75+1.02 \\ =13.77 \end{gathered}[/tex]

Cost of two hoodie can be calculated as,

[tex]\begin{gathered} C(\text{two)}=2\times13.77 \\ =27.54 \end{gathered}[/tex]

Hence, the final cost of one hoodie is $13.77 and final cost of two hoodie is $27.54.

Determine if the proportion is true 1/6= 3/18 Proportion is not true Proportion is true

Answers

Question: Determine if the proportion is true 1/6= 3/18

Solution:

we have the following equation that it may be true or false:

[tex]\frac{1}{6}\text{ = }\frac{3}{18}[/tex]

But, the above equation is equivalent to:

[tex]1\text{ x 18 = 3 x 6}[/tex]

But 1x 18 = 18, and 3x 6 = 18 so the above equation is equivalent to

[tex]18\text{ = 18}[/tex]

The above equality always is true, so we can conclude that the proportion is true​.

The length of a wire was measured using two different rulers. How many significant figures are in each measurement?

Answers

We will have the following

In the first image we can see that the maximum you will measure with a good degree of certainty is the unit, and in the next one we wil have that is the unit and a fraction of it, so:

Top: 1 significative figure.

Bottom: 2 significative figures.

If the distance from the too of the building to the tip of its shadow is 150ft, what is the length of the buildings shadow

Answers

In order to know the length of the shadow, we will use a trigonometric function in this case for the data given and the distance we want to find we will use the sine

[tex]\sin (75)=\frac{S}{150}[/tex]

we isolate S

[tex]S=\sin (75)\cdot150=144.89[/tex]

the length of the shadow is 144.89ft

25 men volunteered to lay 1450 pieces of sod around a new church building if each man was given an equal number of pieces how many pieces would each man get

Answers

The number of pieces of sod to lay around the church is 1450 and 25 men volunteered to lay it.

If sod is equally distributed among the men, then each man get sod is equal to number of sod divided by number of men. So,

[tex]\frac{1450}{25}=58[/tex]

So each man get 58 number of sod.

Answer: 58

I need helps this is an assignment dealing with kites

Answers

In a kite, there is one pair of congurent angles. So

[tex]3x-22=x+52[/tex]

Solve the equation for x.

[tex]\begin{gathered} 3x-22=x+52 \\ 3x-x=52+22 \\ x=\frac{74}{2} \\ =37 \end{gathered}[/tex]

So value of x is 37.

Answer: 37

Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable.y²-3y - 18/y²-9y + 18Rational expression in lowest terms:Variable restrictions for the original expression: y

Answers

Given: The expression below

[tex]\frac{y^2-3y-18}{y^2-9y+18}[/tex]

To Determine: The lowest term of the given rational fraction

Solution

Let simplify both the numerator and the denominator

[tex]\begin{gathered} Numerator:y^2-3y-18 \\ y^2-3y-18=y^2-6y+3y-18 \\ y^2-3y-18=y(y-6)+3(y-6) \\ y^2-3y-18=(y-6)(y+3) \end{gathered}[/tex][tex]\begin{gathered} Denominator:y^2-9y+18 \\ y^2-9y+18=y^2-3y-6y+18 \\ y^2-9y+18=y(y-3)-6(y-3) \\ y^2-9y+18=(y-3)(y-6) \end{gathered}[/tex]

Therefore

[tex]\begin{gathered} \frac{y^2-3y-18}{y^2-9y+18}=\frac{(y-6)(y+3)}{(y-3)(y-6)} \\ y-6-is\text{ common} \\ \frac{y^{2}-3y-18}{y^{2}-9y+18}=\frac{(y-6)(y+3)}{(y-3)(y-6)} \\ \frac{y^{2}-3y-18}{y^{2}-9y+18}=\frac{y+3}{y-3} \end{gathered}[/tex]

Hence, the rational expression in its lowest term is

[tex]\frac{y+3}{y-3}[/tex]

The variable for the original expression is as given as

[tex]\begin{gathered} \frac{y^{2}-3y-18}{y^{2}-9y+18}=\frac{(y-6)(y+3)}{(y-3)(y-6)} \\ y\ne3,y\ne6 \end{gathered}[/tex]

4. AABC = ADBC by SSS. Select one set of corresponding parts that could be marked congruent by CPCTC.B.A11CDO CBDAO ZA ZDOZCZ ZBO ACBC

Answers

We are given two triangles that are congruent and we are asked to mark the parts that are congruent by CPCTC, this stands for Corresponding Parts of Congruent Triangles are Congruent. This means that when two triangles are congruent then their corresponding sides and angles are also congruent.

We notice that the following segments are corresponding segments and therefore congruent:

[tex]\begin{gathered} AB=BD \\ AC=DC \\ CB=CB \end{gathered}[/tex]

And also the following angles are corresponding angles and therefore congruent:

[tex]\begin{gathered} \angle A=\angle D \\ \angle ABC=\angle DBC \\ \angle ACB=\angle DCB \end{gathered}[/tex]

Therefore, from CPCTC we know that the corresponding parts are:

[tex]\angle A=\angle D[/tex]

wich time of line are shown in the figure

Answers

Solution

Step 1

Two distinct lines intersecting each other at 90° or at right angles are perpendicular to each other.

Hence apply this to question 8 the type of lines shown in the figure is perpendicular lines. Option C

Step 2

To explain this as stated above line A and line B intersect each other at a right angle hence line A and B are perpendicular lines. The line segments are seen below.

in a game a player starts with 100 points each question has two parts and a incorrect answer for both parts result in a loss of one point the student loses one half of a point for getting only one part of the question correct at the end of 25 question round the player has 82.5 points what to equations and solutions represent X Missed points

Answers

Answer:

10 questions with an incorrect answer for both parts

15 questions with a correct answer in only one part

Explanation:

Let's call x the number of questions with an incorrect answer for both parts and y the number of questions with only one part of the question correct.

So, the equation that gives us the number of points after 25 rounds is:

100 - x - 0.5y = 82.5

Where: x + y = 25

So, solving for y, we get:

y = 25 - x

Replacing this on the initial equation and solving for x, we get:

[tex]\begin{gathered} 100-x-0.5y=82.5 \\ 100-x-0.5(25-x)=82.5 \\ 100-x-12.5+0.5x=82.5 \\ 87.5-0.5x=82.5 \\ 87.5-82.5=0.5x \\ 5=0.5x \\ \frac{5}{0.5}=x \\ 10=x \end{gathered}[/tex]

Then, the value of y is:

[tex]\begin{gathered} y=25-x \\ y=25-10 \\ y=15 \end{gathered}[/tex]

Therefore, the player gets 10 questions with an incorrect answer for both parts and 15 questions with a correct answer in only one part.

at what rate is the depth of the pool water increasing?

Answers

Given:

Find-:

Rate is the depth of the pool water increasing

Explanation-:

The rate of change is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Choose any two points is:

[tex]\begin{gathered} (x_1,y_1)=(2,1) \\ \\ (x_2,y_2)=(4,2) \end{gathered}[/tex]

So, the rate of change is:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{2-1}{4-2} \\ \\ m=\frac{1}{2} \end{gathered}[/tex]

So, 1/2 ft per hour

For each situation, an inequality is written. Which one has an incorrect inequality?АThree less than a number is greater than negative four and less than negative one; - 4 75DAll real numbers that are greater than or equal to - 7 1/2or less than or equal to zerox < 0 or x>-7 1/2

Answers

Option D has an incorrect inequality.

Since option D Says:

"All real numbers that are greater than or equal to - 7 1/2 or less than or equal to zero"

Greater than or equal is represented with the symbol ≤ or ≥.

So the correct inequality is for this statement is:

x ≤0 or x>-7 1/2

Not

x < 0 or x>-7 1/2

Note that the x and 0 part doesn't have an equal sign.

Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.)

Answers

Answer:

0

Explanation:

Let us call

[tex]f(x)=\frac{\sqrt[]{x}}{\csc x}[/tex]

The function is continuous on the interval [0, 2pi]; therefore,

[tex]\lim _{x\to\pi^+}f(x)=\lim _{x\to\pi^-}f(x)[/tex]

To evaluate the limit itself, we use L'Hopital's rule which says

[tex]\lim _{x\to c}\frac{a(x)}{b(x)}=\lim _{x\to c}\frac{a^{\prime}(x)}{b^{\prime}(x)}[/tex]

Now in our case, we have

[tex]\lim _{n\to\pi}\frac{\sqrt[]{x}}{\csc x}=\lim _{n\to\pi}\frac{\frac{d\sqrt[]{x}}{dx}}{\frac{d \csc x}{dx}}[/tex]

[tex]=\lim _{n\to\pi}\frac{d\sqrt[]{x}}{dx}\div\frac{d\csc x}{dx}[/tex]

[tex]=\frac{1}{2\sqrt[]{x}}\div(-\frac{\cos x}{\sin^2x})[/tex]

since

[tex]\frac{d\csc x}{dx}=-\frac{\cos x}{\sin^2x}[/tex]

Therefore, we have

[tex]\lim _{n\to\pi}\frac{\sqrt[]{x}}{\csc x}=\lim _{n\to\pi}\frac{1}{2\sqrt[]{x}}\div(-\frac{\cos x}{\sin^2x})[/tex][tex]=\lim _{n\to\pi}-\frac{1}{2\sqrt[]{x}}\times\frac{\sin^2x}{\cos x}[/tex]

Putting in x = π into the above expression gives

[tex]-\frac{1}{2\sqrt[]{x}}\times\frac{\sin^2x}{\cos x}\Rightarrow-\frac{1}{2\sqrt[]{\pi}}\times\frac{\sin^2\pi}{\cos\pi}[/tex][tex]=0[/tex]

Hence,

[tex]=\lim _{n\to\pi}-\frac{1}{2\sqrt[]{x}}\times\frac{\sin^2x}{\cos x}=0[/tex]

Therefore, we conclude that

[tex]\boxed{\lim _{n\to\pi}\frac{\sqrt[]{x}}{\csc x}=0.}[/tex]

which is our answer!

Can anyone help me with this I’m stuck and this is pretty difficult.

Answers

Answer:

x=-1

Explanation:

Given the equation:

[tex]$$ 24=4(x-7)+8(1-6 x) $$[/tex]

First, expand the brackets:

[tex]24=4x-28+8-48x[/tex]

Next, collect like terms and simplify:

[tex]\begin{gathered} 24=4x-48x-28+8 \\ 24=-20-44x \\ \text{ Add 20 to both sides} \\ 24+20=-44x \\ 44=-44x \\ \text{ Divide both sides by -44} \\ \frac{44}{-44}=\frac{-44x}{-44} \\ x=-1 \end{gathered}[/tex]

The solution to the equation is -1.

Need help with my math yall please??

Answers

The value of the expression after simplification is found as -3.

What is termed as simplification?Simplify simply way of making something easier to understand. Simply or simplification in mathematics refers to reducing an expression/fraction/problem to a simpler form. It simplifies the problem by calculating and solving it. We can —Simplify fractions by removing all common factors from the numerator and denominator as well as composing the fraction in its simplest form.By grouping as well as combining similar terms, you can simplify mathematical expressions. This helps make the expression simple to understand and solve.

For the given expression;

5x + 8 = 2x - 1

Subtract 8 from  both side.

5x + 8 - 8 = 2x - 1 - 8

Simplify

5x = 2x - 9

Subtract both side by 2x.

5x - 2x = 2x - 9 - 2x

3x = -9

Divide both side by 3.

3x/3 = -9/3

x = -3

Thus, the value of the expression is found as -3.

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A rectangle is placed around a semicircle as shown below. The width of the rectangle is . Find the area of the shaded region.Use the value for , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Solution

Step 1

Write the given data:

Radius r of the semi-circle = 4 yd

Width of the rectanhle = 4 yd

Length of the rectangle = 2 x 4 = 8 yd

Step 2

Write the formula for the area of the shaded region:

[tex]\begin{gathered} Area\text{ of the shaded region} \\ =\text{ Area of a rectangle - Area of the semi-circl} \\ =\text{ W }\times\text{ L - }\frac{\pi r^2}{2} \\ =\text{ 4}\times\text{ 8 - }\frac{3.14\times4^2}{2} \\ =\text{ 32 - 25.12} \\ =\text{ 6.88 yd}^2 \end{gathered}[/tex]

Final answer

6.88

Jenelle invests $8,000 at 3% simple interest for 48 years. How much is in the account at the end ofthe 48 year period? Round your answer to the nearest cent.Answer: $Submit Question

Answers

Given

Principal = $8,000

Rate = 3%

Time = 48 years

Find

Amount at the end of the 48 years

Explanation

Amount = Simple interest + Principal

Simple Interest is given by

[tex]S.I=\frac{P\times R\times T}{100}[/tex]

now substitute the values ,

[tex]\begin{gathered} S.I=\frac{8000\times3\times48}{100} \\ \\ S.I=11520 \end{gathered}[/tex]

amount = 11,520 + 8000 = $19,520.00

Final Answer

Therefore , the amount at the end of the 48 years will be $19,520.00

Let x(t) = t - sin(t) and y(t) = 1 - cos(t)

Answers

Explanation:

The functions are given below as

[tex]\begin{gathered} x(t)=t-sin(t) \\ y(t)=1-cos(t) \end{gathered}[/tex]

Part 1:

To find the value of x(t), we will put t=2

[tex][/tex]

an airliner travels 30 miles in 4 minutes. what is its speed in miles per hour?

Answers

We need to convert minutes to hours. We know that 1 hour is 60 minutes so we can use the conversion factor of 1 hour = 60 minutes. We make sure the minutes cancel in the top and bottom leaving

30 miles 60 minutes

------------- * --------------

4 minutes 1 hour

30 miles * 60

--------------------

1 hour

180 miles

--------------

hour

x³=yis this a linear or nonlinear equation

Answers

ANSWER:

No, it is not a linear equation

Explanation:

Given:

x³=y

Equations are categorized base on the highest exponent of their variables.

An equation with an exponent less rthan equal to 1 is a linear equation, am equation with an exponent of 3 is a cubic equation

This equation x³=y is a non linear equation. It can also be called a cubic equation because x has an exponent of 3.

Also the satndard form of a linear equation is:

y = mx + b

In this case, x³=y is not in that form, so it is not a linear equatio.

y = x³

7. Explain It Draw a net for a triangular pyramid. Explain how you know your dagram is correct.

Answers

The definition of geometry net is the 2-dimensional shape that if folded, it will produce or yield to the 3-dimensional image

Since the triangular pyramid, has 4 sides (4 triangular faces), when we unfold it on the edges from one tip/corner, it will produce a 2-dimensional image of 3 triangles attached to the sides of one triangle

TASK 2: Awards DinnerTran is in charge of the school's Awards Dinner. She set up the multi-purpose room with a stage in front and round tables for parents, students, and family membersto sit around for dinner. Below is the floor plan that she drew for the event.StageCLUE Illuminate EducationIncSign out11US 01:09hp

Answers

According to the image each table has an amount of 8 seats, and there are

What are the coordinates of the four vertices and the two foci?

Answers

[tex]\begin{gathered} \frac{(x-2)^2}{36}+\frac{(y+1)^2}{25}=1 \\ \text{Foci} \\ F1\text{ (}h+c,k\text{)} \\ F2(h-c,k) \\ (h,k)=(2,-1) \\ c=\sqrt[]{a^2-b^2} \\ \text{from the equation} \\ a^2=36 \\ b^2=25 \\ c=\sqrt{36-25} \\ c=\sqrt{11} \\ Foci\text{ 1= (2}+\sqrt{11},-1) \\ Foci\text{ 2= (2-}\sqrt[]{11},-1) \\ \text{Vertices } \\ V1=(h+a,k) \\ V2=(h-a,k) \\ V1=(2+6,-1) \\ V1=(8,-1) \\ V2=(2-6,-1) \\ V2=(-4,-1) \end{gathered}[/tex]

I need help please there are two parts when we are done with part one the next part shows :) now can I get help

Answers

The months in which the income was greater than the expenses are:

June, July and August

Two companies provide service in a community.• The total cost of a service call for x hours of labor at company A is modeled byy = 28x+ 32.5.• The initial charge for a service call at company B is $3 less than at company A, but their hourly rate is 25% greater.What is the expected total cost of a service call for 6 hours of labor at company B?

Answers

Answer:

The expected total cost of a service call for 6 hours of labor at company B is $239.5

Step-by-step explanation:

To solve this, we'll find the expression that models the cost at company B.

First, we'll calculate the hourly rate. We know that is 25% greater than the $28 rate from company A, so we can use a rule of three as following:

This way,

[tex]\begin{gathered} x=28\times\frac{125}{100} \\ \\ \Rightarrow x=35 \end{gathered}[/tex]

Therefore, we'll have that the hourly rate for company B is $35.

Now, we know that the charge for service is $3 less than at company A. This way,

[tex]32.5-3=29.5[/tex]

We can conclude that the charge for service at company B is $29.5

Using this data, we'll have that the expression that models the cost for company B is:

[tex]y=35x+29.5[/tex]

Using x = 6 (six hours of labor),

[tex]\begin{gathered} y=35(6)+29.5 \\ \\ \Rightarrow y=239.5 \end{gathered}[/tex]

Therefore, we can conclude that the expected total cost of a service call for 6 hours of labor at company B is $239.5

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He knows that when he mixes the two substances a chemical change will occur. According to the law of conservation of mass, what should the weight of the products be after he mixes them? Read the excerpt from "Rebuilding the Cherokee Nation.So from 1906 and 1907, when Oklahoma became a state, and until 1971, we didnt elect our own tribal leaders. Chiefs of the Cherokee Nation and some of the other, well they call them Southeastern tribes; by now they were in Indian Territory; our Chiefs were appointed by the President of the United States, and usually for no good purpose. They were appointed so they could sign easements or give away land, or other resources of the tribes. . . . Its interesting to see how our people began to view leadership during this period of time from 1906-1907 to 1971. They began to see Chiefs of the Cherokees as something external to themselves; a position that only very prominent people who had little connection to the tribe could aspire to or hold.Courtesy of the Wilma Mankiller Trust Which sentence best integrates a direct quotation from the excerpt?Mankiller gives a little bit of Cherokee history by explaining how our chiefs were appointed by the President of the United States, and usually for no good purpose. (2).The chiefs were appointed usually for no good purpose (2) by the President of the US, to give away Cherokee land and that of the other Southeastern tribes.Mankiller recounts that the chiefs were appointed by the President of the United States for no good purpose; they only signed easements or gave away land (2).Mankiller goes on to describe the damage the Cherokee suffered at the hands of the men appointed as chiefs usually for no good purpose (2). one year a country has negative net exports. the next year it still has negative net exports and imports have risen more than exports. a. its trade deficit fell. b. its trade deficit rose. c. its trade surplus fell. d. its trade surplus rose. Comparing and Scaling Rates: Investigation 2.3 Homework 1. Keeley buys songs from a music website. She buys 35 songs for $26.25. What is the price per song? a. Complete the table. b. Lucius and Javier discuss how to write an equation relating price and number of songs. Lucius writes the equation n = 0.75C. Javier writes the equation C = 0.75n. Do you agree with Lucius or with Javier? Use the information from parts (a) to explain. 2. For each situation, find a unit rate and write an equation relating the two quantities. a. 3 dozen apples for $4.50 b. 30 bottles of water for $4.80 c. 24 ounces of mozzarella cheese for $2.88 Number of Songs, n 35 50 1 70 Cost, C $26.25 $3 $15 0.7537.50costdozen= 4.50/3 = $1.50 / dozencost/bottles2 3. Which of these items is the better buy? a. an 8-pack of glue sticks for $3.99 or 1 glue stick for $.54 b. a 12-pack of tape for $2.50 or 1 roll of tape for $.19 c. a 100-pack of pencils for $4.88 or 1 pencil for $.05 d. a 50-pack of paper clips for $.89 or a 25-pack of paper clips for $.45. Christel House DORS is taking a field trip. Some students will travel in cars, which can carry 5 students, and others will travel in vans, which can carry 15 students. The equation 5(2)+15v=100 describes the relationship between the number of vans needed, v, and the number of students going on the trip. Which statement below is true? Which of the following statements about capital structure are correct? Select ALL correct answers. LEDS produce light using a: 1.in developing countries, what causes a considerably lower average for height and weight during early childhood? a.higher nutrition and a lower likelihood of childhood diseases b.lower parental care and the lack of folic acid c.lower nutrition and higher likelihood of childhood diseases d.higher parental care and an abundance of folic acid Determine if the table shows a proportional relationship. x 42.5 29.2 69.4 y 21.25 14.6 34.7 Yes, it is proportional because the ratios for y over x are all equivalent to one half. Yes, it is proportional because the ratios for y over x are all equivalent to one third. No, it is not proportional because 21.25 over 42.5 is not equal to 29.2 over 14.6. No, it is not proportional because 42.5 over 21.25 is not equal to 34.7 over 69.4. imagine a population of beetles. white beetles are easier for birds to see and eat. gray beetles blend into their surroundings, so they are less visible to birds than white beetles. as a result, gray beetles are more likely to survive and reproduce, enabling the gene for gray coloration to be passed on to the next generation. this increases the frequency of genes for gray coloration in the population. which evolutionary process does this scenario describe? Can someone help me with my practice? I am having trouble with this question. Question 12I just want the answer :)Given the information marked on each figure below, select all classifications that must be true.Note that each figure is drawn like a rectangle, but you should not rely on the way the figure is drawn in determining your answers.If necessary, you may learn what the markings on a figure indicate. Write an explicit formula that represents the sequence defined by the following recursive formula: a1=7 and an=2a_n-1 heeeeeeelp me, please The number of milligrams D (h) of a certain drug that is in a patients bloodstream h hours after the drug is injected is given by the following function. D (h)=40e ^0.2h When the number of milligrams reaches 9, the drug has to be injected again. How much time is needed between injections? Round your answer to the nearest tenth, and do not round any intermediate computations.