how to equal 5 using the numbers 24,6,9,3,2

Answers

Answer 1
24 divided by 6 plus 9 subtract 3 divide 2 =5

Related Questions

During this time, helen barnes from tri-state realty called for information about a stone listing. what should the assistant do?

Answers

During this time, Helen Barnes from tri-state realty called for information about a stone listing. The assistant should give Helen the information she is asking for.

Who is an unlicensed assistant broker?

An unlicensed assistant broker does a number of responsibilities. Nonetheless, it is vital that every broker understands what an unlicensed broker is legally allowed to do when compared to a licensed assistant broker, in order to avoid getting into trouble.

Therefore, we conclude that in this question, the assistant should give Helen the information she is asking for.

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Complete question is; all of the licensees at stone realty are attending an off site conference for the afternoon. the broker’s unlicensed assistant remained at the office to answer the telephone. during this time, helen barnes from tri-state realty called for information about a stone listing. what should the assistant do?

ANSWER FOR BRAINLEST AND 10 POINTS

ANSWER FOR BRAINLEST AND 10 POINTS

Answers

Answer:

0.05

Step-by-step explanation:

Hi! Ok, let's get started!

5 to the power of -2 is like dividing 5 by 10 to the second power.

That becomes 5 / 100 = 0.05

Hope that helps! :)

-Aphrodite

a directional test (>) one sample t test was conducted. the results was t (30) = 1.23. you will:

Answers

The one-sample t-test with a t-value of 1.23 (df = 30) was conducted. Without the critical t-value or specified value, no definitive conclusion can be made regarding the test's significance.



In a directional one-sample t-test with a t-value of 1.23 and 30 degrees of freedom, we are interested in determining if the sample mean is significantly greater than a specified value. To assess the statistical significance, we compare the t-value to the critical t-value associated with the desired significance level (α) and degrees of freedom (df).

Without the critical t-value or the specified value, we cannot make a definitive conclusion about the significance of the test. However, we can provide a general interpretation. If the t-value is greater than the critical t-value, we would reject the null hypothesis (H₀) and conclude that there is significant evidence to support the alternative hypothesis (H₁). This would suggest that the sample mean is significantly greater than the specified value.

Conversely, if the t-value is smaller than the critical t-value, we would fail to reject the null hypothesis, indicating that there is insufficient evidence to support the alternative hypothesis. This means that we cannot conclude that the sample mean is significantly greater than the specified value.

To draw a definitive conclusion, we would need the critical t-value associated with the significance level or further information about the specified value.

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Why Does Mathematics Use Letters?

Answers

Answer:

letters are used to represent numbers

Step-by-step explanation:

Answer:

Numerals are symbols for numbers that we know. We usually use letters as symbols for numbers that we don't know - which we call variables.

Step-by-step explanation:

paco is the manager of a gas station. he sold 4,510 gallons of gas in february. he sold 6,092 in march. how much more gas did he sell in march?

Answers

Paco was able to sell a total of 1,582 gallons more in March than he was able to in February.

Paco was able to sell 4,510 gallons of gas in February and then a further 6,092 gallons in March.

The amount that he sold in March that was more than what he sold in February was:

= Amount sold in March - Amount sold in January

= 6,092 - 4,510

= 1,582 more gallons

In conclusion, Parco sold 1,582 gallons more in March than in February.

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solve 7/t+8=6v-8u for t

Answers

Answer:

t=7/(6v-8u-8)

Step-by-step explanation:

Isolate t

7/t=6v-8u-8

7/6v-8u-8=6v-8u-8*t/6v-8u-8

t=7/(6v-8u-8)

You can simplify it

t=7/2(3v-4u-4)

HELPP HELPP HELPP!!!

HELPP HELPP HELPP!!!

Answers

Answer:

x<2

x greater or equal to -2

Step-by-step explanation:

Answer:

the answer is x<2

Step-by-step explanation:

meaning x greater or equal to -2!

bye

Solve Each Equation show work

7. |n| - 4 = - 3

8. -3 |x|= - 18

Answers

Answer:

1. n is 1 or -1

2. x is 6 or -6

Step-by-step explanation:

1. |n| -4 = -3

|n| = -3 + 4

|n| = 1

so n = 1 or - 1

2) -3|x| = -18

divide both sides by -3

|x| = -18/-3

|x| = 6

so x = -6 or 6

one of the longest pizzas ever made had a diameter of 80 yards. To the nearest square yard, what is the area of the pizza?​

Answers

Circle = pi*r^2
Diameter = 80, so radius = 40
Circle = pi*40^2 = pi*1600 is approximately 5026.55 yards

Answer:

Step-by-step explanation:

80 is the diameter to we need to divide it by 2 to find the radius

80/2= 40

A= 3.14* 40^2

A = 3.14 * 1600

A= 5024

Step-by-step explanation:

Order the given steps for the perpendicular bisector construction of the segment below.

Order the given steps for the perpendicular bisector construction of the segment below.

Answers

Answer: kdsl.dmcs

Step-by-step explanation:

Alicia purchased a plant that is 2 inches tall.
She plans to give it to her mother when it is
more than 32 inches tall. If the plant is growing
at a rate of 1.5 inches each week, after
how many full weeks can she give her
mother the plant?

Answers

Answer:

20

Step-by-step explanation:

Ajay reads aloud from a sports magazine. He comes across the measurement 0.63 kilometer. How should he read this measurement aloud? Explain how you know.​

Answers

Answer:

"sixty-three hundredths of a Kilometer"

Step-by-step explanation:

Decimal measurements are read based on the place of their digits. In this case, Ajay would read this measurement as "sixty-three hundredths of a Kilometer". This is because the final digit of the decimal form measurement is in the "hundredths" position. One more to the right and it would be in the "thousandths" while one more to the left would be the "tenths"

i need help with this geometry

i need help with this geometry

Answers

Answer:

2.

Step-by-step explanation:

supplementary= 180 degrees.

Step-by-step Explanation: If two parallel lines are cut by a transversal, then same-side interior angles are supplementary or the sum of their measures is 180 degrees.

Notice that <3 and <5 are same-side interior angles because they lie on

the same side of the transversal and on the interior of lines l and m.

Notice that same-side interior angles make a C shape.

What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π

What is the area of the shaded region?A. 16B. 8C. 4D. 2

Answers

Area of a circle = pi x r^2

Area of the circle = 4^2 x pi = 16pi


3/4 of the circle is shaded


area of shaded portion = 3/4 x 16pi = 12pi


Answer 12 pi

Answer:

b

Step-by-step explanation:

4 of the nonshaded areas =a

If the ratio StartFraction negative 294 Over x plus 10 EndFraction is equivalent to 21​, find the value of x. Use pencil and paper. Write another pair of equivalent ratios like these. Show how to find the value of x.

Answers

Answer:

(1)x=-24

(2)Another pair of equivalent ratio is:

\(\dfrac{-64}{x+5}=8$ where $x=-13\)

Step-by-step explanation:

Given the ratio:

\(\dfrac{-294}{x+10}=21\)

Part 1: We determine the value of x.

\(\dfrac{-294}{x+10}=21\\$Cross multiply$\\21(x+10)=-294\\21x+210=-294\\$Collect like terms$\\21x=-294-210\\21x=-504\\$Divide both sides by 21$\\x=-24\)

Part 2: We write another pair of equivalent ratios.

Let

\(\dfrac{-64}{x+5}=8\\$Cross multiply$\\8(x+5)=-64\\8x+40=-64\\$Collect like terms$\\8x=-64-40\\8x=-104\\$Divide both sides by 8$\\x=-13\)

A robot is on the surface of Mars. The angle of depression from a camera in the robot to a rock on the surface of Mars is 13.33 degrees. The camera is 196.0 cm above the surface. How far from the camera is the rock?

Answers

The distance between the rock and the surface is 827.20 cm.

Given data,

There is a robot on Mars' surface. 13.33 degrees of depression can be seen between a camera in the robot and a boulder on the surface of Mars. 196.0 cm is how high the camera is from the ground.

How far is the rock from the camera?

From the given data,

tan c = AB/BC

tan 13.33° = 196/BC

BC = 196/tan 13.33°

BC = 827.20 cm

Hence, the distance between the rock and the surface is 827.20 cm.

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I
want the answer within 10 minutes, it is very necessary, please, I
have to submit homework now I need it now
4. Find the maximal flow from node 1 to node 7 in the following network. Identify the associated minimal cut. Also write the associated linear programming problem. 10-

Answers

The maximal flow from node 1 to node 7 in the given network needs to be determined, along with identifying the associated minimal cut. Additionally, the associated linear-programming problem needs to be written.

To find the maximal flow from node 1 to node 7, various algorithms like the Ford-Fulkerson algorithm or the Edmonds-Karp algorithm can be used. These algorithms iteratively find augmenting paths and update the flow until no more augmenting paths exist. The maximal flow represents the maximum amount of flow that can be sent from the source (node 1) to the sink (node 7).

The associated minimal cut can be found by identifying the set of edges whose removal would disconnect the source from the sink. The minimal cut represents the minimum capacity required to disconnect the source and sink nodes.

To write the associated linear-programming problem, we need to define decision variables, objective function, and constraints that represent the flow network. The objective function is typically to maximize the flow from the source to the sink, subject to capacity constraints on the edges and flow conservation constraints at each node.

Detailed calculations and graph analysis would be required to find the specific maximal flow, associated minimal cut, and formulate the linear programming problem for the given network.

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the sum of a number times 4 and 29 is at least 26

Answers

Answer:

4 + 29 ≥ 26.

Step-by-step explanation:

I'm assuming you want me to make an inequality with this, so I will do that. Since sum means to add, we write this: 4 + 29. At least can translate to greater than or equal to, we can write that symbol as ≥. Now, let's write the whole inequality, we can write it as 4 + 29 ≥ 26.

Find the 7th term of the arithmetic sequence − 3 � + 5 −3x+5, 2 � + 3 2x+3, 7 � + 1 ,. . . 7x+1

Answers

The 7th term of the arithmetic sequence -3x+5, 2x+3, 7x+1, ... is: 27x-7.

What is the 7th term of the arithmetic sequence?

To find the 7th term of the arithmetic sequence, we need to first determine the common difference between the terms. We can do this by subtracting the first term from the second term:

(2x+3) - (-3x+5) = 5x - 2

This means that the common difference between the terms is 5x - 2. Now, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1)d

Where an is the nth term, a₁ is the first term, n is the term number, and d is the common difference. Plugging in the values we have:

a₇ = (-3x+5) + (7 - 1)(5x - 2)

Simplifying the equation:

a₇ = -3x + 5 + 30x - 12

a₇ = 27x - 7

Therefore, the 7th term of the arithmetic sequence is 27x - 7.

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SST Grocery Store has a display of 12-ounce cans of soft drink in cases of 24. Each case
measures 16.00 inches by 10.75 inches by 5.00 inches. How many cubic inches are needed if 360
cases are on display?
OA 619,200 cubic inches
OB 309,600 cubic inches
OC 61,920 cubic inches
OD 123,840 cubic inches

Answers

The answer is 309,600 cubic inches, which is option B.

What is the volume?

Volume is the total amount of space inside a three-dimensional shape. Volume is measured in cubic units, such as “cubic inches” or in³.

Volume is the amount of space matter takes up. The matter is anything that has mass and takes up space. Volume is used to describe the size of an object.

The volume of each case is 16.00 inches * 10.75 inches * 5.00 inches = 880 cubic inches.

So, the volume of 360 cases is 360 * 880 cubic inches = 309,600 cubic inches.

Therefore, the answer is 309,600 cubic inches, which is option B.

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what topic is used when discussing the need for relative figures as opposed to absolute figures?

Answers

The topic that is typically discussed when referring to the need for relative figures as opposed to absolute figures is comparative analysis or relative measures.

Comparative analysis involves comparing data or figures in relation to other data or a reference point, rather than focusing solely on the absolute values. It helps provide context and a better understanding of the data by considering factors such as proportions, ratios, percentages, or changes over time. Relative figures are particularly important when dealing with data that varies significantly in scale or when comparing data across different contexts or populations. By using relative figures, researchers or analysts can gain insights into patterns, trends, and relationships that may not be evident when looking at absolute figures alone.

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4 years ago, the population of a city was "x" inhabitant. 2 years later, two years ago, the population of this same city was 81,000 and today it is 65,610. Using this data, finds the population of four years ago

Answers

Answer:

59049.

Step-by-step explanation:

It is given that, 2 years later, two years ago, the population of this same city was 81,000 and today it is 65,610.

So, graph passing through (2,81000) and (-2,65610).

The general exponential function is

\(y=ab^x\)

where, a is initial value or present year population and b is growth factor.

Since graph passing through (2,81000) and (-2,65610), therefore the above equation must be satisfied by these points.

\(81000=ab^2\)    ...(1)

\(65610=ab^{(-2)}\)    ...(2)

Multiplying (1) and (2), we get

\(81000\times 65610=ab^2\times ab^{-2}\)

\(5314410000=a^2\)

Taking square root on both sides.

\(72900=a\)

Substitute a=72900 in (1).

\(81000=72900b^2\)

\(\dfrac{81000}{72900}=b^2\)

\(\dfrac{10}{9}=b^2\)

Taking square root on both sides.

\(\dfrac{\sqrt{10}}{3}=a\)

So, the population function is

\(y=72900\left(\dfrac{\sqrt{10}}{3}\right)^x\)

Substitute x=-4 in the above equation, to find the population of four years ago.

\(y=72900\left(\dfrac{\sqrt{10}}{3}\right)^{-4}\)

\(y=72900(0.81)\)

\(y=59049\)

Therefore, the population of four years ago is 59049.

Round 128,687 to the nearest ten thousand 

Answers

Answer:

129,000 i dont k im just trying

Step-by-step explanation:

The total cost at an amusement park can be modeled by y = 1.5x + 20 where x is the number of rides you ride . What is the price to ride 10 rides?
A)$35
B)$30
C)$21.50
D)$30.50

Answers

Answer:

A

Step-by-step explanation:

Plug in 10 for x and solve.

1.5(10) + 20 = 35

The price of 10 rides is 35 dollars. The correct answer would be an option (A).

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The total cost at an amusement park can be modeled, as follows:

y = 1.5x + 20  ....(i)

Where x is the number of rides you ride

We have to determine the price to ride 10 rides

Substitute the value of x = 10 in the equation (i), and solve for y

y = 1.5(10) + 20

y = 15 + 20

Apply the addition operation, and we get

y = 35

Thus, the price of 10 rides is 35 dollars.

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Pls help!! Which graph represents the following ellipse.

Pls help!! Which graph represents the following ellipse.

Answers

A graph that represents the following ellipse (x + 1)²/16 + (y - 3)²/36 = 1 is: C. graph C.

What is the equation of an ellipse?

Mathematically, the standard form of the equation of an ellipse is given by mathematical expression:

x²/a² + y²/b² = 1  

Where;

a represents the major axis.b represents the minor axis.

This ultimately implies that, the major axis of this ellipse is the x-axis. By critically observing the graph (see attachment), we can logically deduce the following values:

a = √16 = 4.

b = √36 = 6.

In conclusion, the standard form of the equation of this ellipse is given by (x + 1)²/16 + (y - 3)²/36 = 1.

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Pls help!! Which graph represents the following ellipse.

An exam is given to students in an introductory statistics course. What is likely to be true of the shape of the histogram of scores if:
a. the exam is quite easy?
b. the exam is quite difficult?
c. half the students in the class have had calculus, the other half have had no prior college math courses, and the exam emphasizes mathematical manipulation? Explain your reasoning in each case.

Answers

a. If the exam is quite easy, it is likely that the majority of students will perform well and score high marks. As a result, the shape of the histogram of scores would be skewed to the right (positively skewed).

This is because there would be a concentration of scores towards the higher end of the scoring scale, with fewer scores towards the lower end.

b. Conversely, if the exam is quite difficult, it is likely that many students will struggle and score low marks. In this case, the shape of the histogram of scores would be skewed to the left (negatively skewed). There would be a concentration of scores towards the lower end of the scoring scale, with fewer scores towards the higher end.

c. When half the students have had calculus and the other half have had no prior college math courses, and the exam emphasizes mathematical manipulation, it can lead to a bimodal distribution in the histogram of scores. This means that there would be two distinct peaks or clusters in the distribution, representing the two groups of students with different math backgrounds.

The calculus students may perform better on the mathematical manipulation aspects of the exam, resulting in one peak, while the students without prior college math courses may struggle and have a separate peak at lower scores.

Overall, the shape of the histogram of scores is influenced by the difficulty level of the exam and the varying abilities of the students taking the exam.

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Milo recorded the number of hours he worked and the total amount he earned, including tips. Let h be the number of hours he worked, and let y be the total amount he earned, including tips. The equation of a line of best fit of his data is y = 12.5h +3.85. Based on the equation of the line of best fit, how much money should Milo expect to earn if he works a 5-hour shift?

Answers

Answer:

$66.35

Step-by-step explanation:

To find this answer with y=mx+b, we should first explain what it is. Y is our output or answer. M is our variable and x is the slope of our variable or how often it occurs. B, is our y intercept, our initial starting amount. Knowing this, we must figure out y. To do this we must multiply his hourly wage by the hours he works which is $12.50x5. This will get us $62.50. Now that we know how much he makes hourly, we add his initial wage of $3.85 to get us $66.35

This means he will make $66.35 if he works a full 5 hour shift.

Answer:

66.35

Step-by-step explanation:

math

what percent of 330 is 29.7

Answers

Answer:

9 percent

Step-by-step explanation:

hope this helpsss

Answer:

9%

Step-by-step explanation:

29.7 /330  x 100% = 9%

28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into cach
bottle?

A. 8/12
*
B. 2 2/8

C. 8/26

D. 2 4/8

Answers

Answer:

b

Step-by-step explanation:

to find the answer to this you sould divide the amount of pints by the number of bottles

18/8

which is also 2 2/8

so the answer is b

How many integer solutions are there to the equation for which How many integer solutions are there to the equation for which and are all positive

Answers

The number of integer solutions to the equation x + y + z = 20, where x, y, and z are all positive integers, is 18.

To find the number of integer solutions to the equation x + y + z = 20, where x, y, and z are positive integers, we can use a combinatorial approach known as "stars and bars."

Imagine representing the sum 20 as a row of 20 stars: ***************.

Now, we need to divide these stars into three groups (representing x, y, and z) using two bars (|). For example, ||****|*****| represents x = 2, y = 5, and z = 13.

To determine the number of integer solutions, we need to count the number of distinct arrangements of 20 stars and 2 bars. The stars can be placed in any of the 22 positions (20 + 2), and the bars can be placed in any of the 2 available positions. Thus, the number of arrangements is given by the binomial coefficient C(22, 2) = 231.

However, we need to exclude the cases where one or more variables (x, y, or z) equals zero. Since all variables must be positive, we need to subtract the number of solutions where one variable is zero. If we fix x = 0, we are left with the equation y + z = 20, which has C(21, 1) = 21 solutions. Similarly, fixing y = 0 or z = 0 yields 21 solutions each.

Therefore, the total number of integer solutions to the equation x + y + z = 20, with x, y, and z as positive integers, is 231 - 21 - 21 - 21 = 168 - 63 = 105.

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what is diret speech? Lies noch einmal die Fragen. Nun schreib die Antworten Die Fragen helfen dir. Auf jede Linie gehrt ein Wort.1. Kasperl ______ __________ 2. ___________________ spielen3. Aber da________________4. _______ _______________ bse. 5. Und ______ _______ Hunger. 6. Da ________________ der Hase Hoppel.7. _____________________ mit Kasperl spielen. 8. _______ _____________ Verstecken. 9. Der Hase ___________10. Aber der Wolf _______ ______________ _____________11. Da ______________ ein Rabe. 12. _________ ______________Krakra. 13. _______ _____________ alles ___________14. __________ _________ __________gehen zur Hexe. 15. Die Hexe __________ __________ 16. ____________ suchen den Wolf. 17. ______ _________________zaubert. 18. 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In the cell wall of a plant cell, cellulose fibers are held together by a glue-like substance called HELP PLEASE Read the second stanza from the poem "Sympathy."I know why the caged bird beats his wingTill its blood is red on the cruel bars;For he must fly back to his perch and clingWhen he fain would be on the bough a-swing;And a pain still throbs in the old, old scarsAnd they pulse again with a keener stingI know why he beats his wing!Question 1Part AIn the second stanza of the poem "Sympathy," what can be inferred about the caged bird beating its wings?A bee has stung the bird.The bird would rather fly free.The bird wants to create a scar.The cage is calling the bird to return.Question 2Part BWhich line from the second stanza in the poem best supports the answer in Part A?"For he must fly back to his perch and cling""And they pulse again with a keener sting""When he fain would be on the bough a-swing;""And a pain still throbs in the old, old scars" whoever answers gets brainiest Arranging the four RNA nucleotides A, G, C and U in groups of three with all possible combinations leads to a set of codons called the ______. Which source of evidence did Wegener use to support his theory of continental drift?fossils found on Earthmagnetic fields of Earthsatellite mapping of the tropical islandsglaciers found near the poles Which part of the circle is labelled ? Thank you what act was passed in 1978 requiring each olympic event to have its own governing body and established selection guidelines for these organizations? flat, intermediate abdominal muscle with fascicles that run perpendicular to those of the external oblique which factor contributed most to the delay in texas becoming a state? the call to calcdrivingdistance() takes 3 seconds to return a result, as the driving directions algorithm requires searching through many possible routes to calculate the optimal route. the other operations, like incrementing the index and comparing the distances, take only a few nanoseconds. Complete the statement below.In a neutralization reaction,and hydroxide iOns react to form. You are interested in developing CRISPR mutation alleles of human gene CCR5. You first look up the gene sequence on public database GenBank. Based on the sort of mutant alleles you want to create you decide to design 3 guide RNA target sites within the first 1000bp of the gene (shown below). Each target site should be 20 bp long and it must have a protospacer adjacent motif (PAM), which has the form NGG, immediately downstream (3') of the target site. N means any base. The DNA sequence below shows the coding strand only, in the 5'--> 3' direction. 1 cttcagatag attatatctg gagtgaagaa tcctgccacc tatgtatctg gcatagtgtg 61 agtcctcata aatgcttact ggtttgaagg gcaacaaaat agtgaacaga gtgaaaatcc 121 ccactaagat cctgggtcca gaaaaagatg ggaaacctgt ttagctcacc cgtgagccca181 tagttaaaac tctttagaca acaggttgtt tecgtttaca gagaacaata atattgggtg 241 gtgagcatct gtgtgggggt tggggtggga taggggatac ggggagagtg gagaaaaagg 301 ggacacaggg ttaatgtgaa gtccaggatc cccctctaca tttaaagttg gtttaagttg 361 getttaatta atagcaactc ttaagataat cagaattttc ttaacctttt agccttactg 421 ttgaaaagcc ctgtgatott gtacaaatca tttgcttctt ggatagtaat ttcttttact 481 aaaatgtggg cttttgacta gatgaatgta aatgttcttc tagetctgat atcctttatt 541 ctttatattt tetaacagat tetgtgtagt gggatgagca gagaacaaaa acaaaataat 601 ccagtgagaa aagcccgtaa ataaacctte agaccagaga totattetet agcttatttt 661 aagetcaact taaaaagaag aactgttctc tgattetttt cgccttcaat acacitaatg 721 atttaact.cc accctccttc aaaagaaaca gcatttccta cttttatact gtctatatga 781 ttgatttgca cagctcatct ggccagaaga getgagacat ccgttcccct acaagaaact 841 ctccccggta agtaacctct cagetgettg geetgttagt tagettctga gatgagtaaa 901 agactttaca ggaaacccat agaagacatt tggcaaacac caagtgcta tacaattato 961 ttaaaatata atctttaaga taaggaaagg gtcacagttt ggaatgagtt tcagacggtt 1021 ataacatcaa agatacaaaa catgattgtg agtgaaagac tttaaaggga gcaatagtat Come up with 3 guide RNA target sites What is the equation for finding the amount of inertia in forces and motion? Explain how you solve that equation. What is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1? 2 1 0 DNEANSWER: D Solve each system by substitution 2x + 6y = 3 x + 3y = 5 Which element(s) would you expect to behave similarly to Gadolinium? What properties of would you expect to be the same, what would be different? Where does the majority of water absorption take place in the digestive system?a. esophagusb. small intestinec. large intestined. stomach Point P has the coordinates (2,4). Point P is dilated with a center at the origin and a scale factor of 3 to create point P'. What are the coordinates of point P'?