please do complete and be quick

Please Do Complete And Be Quick

Answers

Answer 1

1. cube root - a number whose cube equals the original number.

2.irrational number -a number that cannot be written in the form a/b, where a and b are integers and b≠ 0

3.Product of powers property- To multiply two powers with the same base, keep the common base and add the exponents.

4.perfect cube- the cube of an integer.

5.perfect square- a number that is the square of an integer.

6.Power of powers property-To multiply two  powers with the same exponent and different bases, multiply the bases and keep the exponent.

7.Powers of products property- when you have an exponent raised to a power ,keep the base and multiply the exponents.

8. scientific notation -a way to express a number as the product of two factors, one greater than or equal to 1 and less than 10  and the other a power of 10

9. square root - a number when multiplied by itself equals the original number

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Related Questions

Simplify the expression 7(6t+2)+3-5(t-1).

Answers

We are given the following expression:

[tex]7(6t+2)+3-5(t-1)[/tex]

To simplify the expression, we will first use the distributive property on the parenthesis, like this:

[tex]7\times6t+7\times2+3-5\times t+5\times1[/tex]

Solving the operations:

[tex]42t+14+3-5t+5[/tex]

Now we add like terms:

[tex](42t-5t)+(14+3+5)[/tex]

Solving the operations:

[tex]37t+22[/tex]

This is the most simplified form of the equation

In triangle DEF, m∠D = (2x + 19)°, m∠E = (3x + 24)°, and m∠F = 87°. Determine the degree measure of the exterior angle to ∠D.

54°
39°
141°
126°

Answers

The value of x is equal to 10 and the exterior angle to angle d is equal to 141 degrees.

Exterior Angles

To solve this problem, we have to recall that the sum of angles in a triangle is equal to 180 degrees.

Applying that formula here;

[tex]m < d + m < e + m < f = 180^0\\(2x + 19) + (3x + 24) + 87 = 180\\x = 10[/tex]

But the exterior angle to angle D can be found assuming the angle lies on a straight line, then the sum of angle D and it's exterior angle would be equal to 180 degrees.

Let y = exterior angle

[tex]m < d + y = 180\\2x + 19 + y = 180\\x = 10\\2(10) + 19 + y = 180\\20 + 19 + y = 180\\39 + y = 180\\y = 141^0[/tex]

The value of the exterior angle to d is equal to 141 degrees.

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Answer: its C

Step-by-step explanation: i got it right

Tina couldn't wait to share the 36 cookies she made with her friends. If she shares with 8 friends, how many cookies (c) will each of them get?

Answers

Given:

Total number of cookies is, N = 36.

Number of friends is, n(f) = 8.

The objective is to find the number of cookies (c) will each of them get while sharing.

Consider the required number of cookies to each person as (c).

The value of c can be calculated as,

[tex]\begin{gathered} c=\frac{\text{Number of cookies (N)}}{Number\text{ of friends n(f)}} \\ =\frac{36}{8} \\ =4.5 \end{gathered}[/tex]

Hence, each of them will get 4 and a half cookies.

4) Say there are 500,000 people in a county, of which approximately 300,000 are registered voters. According to the pir chart below, what is an estimate to the nearest person of how many people in the county are registered independents? (10 points) Approximately people in this county are registered independents. Registered County Voters Other 64 Independent 40% - Democrat u Republican independent Other

Answers

Since the chart has the name "Registered Country Voters", it only includes the registered voters, that is the approximately 300,000 people. Since 16% are independet, we can take 16% of 300,000 to get the registered independets. that is, multiply 0.16 (16%) by 300,000:

[tex]0.16\cdot300,000=48,000[/tex]

So, the answer is 48,000.

calcula la suma de los quince primeros multiplos de 9

Answers

Answer:

Step-by-step explanation:

9*(15/2)[2+14] = 9*15*16 = 2160.

Which analytical model best represents the data in the table below?

Answers

When x = 0, y = 2, then the constant term of the polynomial must be 2. This discards the last 2 options.

When x = 1, y = 11. Substituting x = 1 into the first two options, we get:

[tex]\begin{gathered} y=9\cdot1^2+2=9+2=11 \\ y=9\cdot1^2+11\cdot1+2=9+11+2=22 \end{gathered}[/tex]

Then, y = 9x² + 2 is correct.

1. In a factory, a machine takes 5 minutes to stitch a book. How many machines are needed to stitch
50 books in 10 minutes?

Answers

Answer: just multiply 5  by 2

Step-by-step explanation:

In gym class, a student can do 40 sit-ups in 60 seconds and 100 sit-ups in 150 seconds.

Graph the proportional relationship.

graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 60
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 30
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 50
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30

Answers

Answer:

  (a) graph with line through (90, 60)

Step-by-step explanation:

You want a graph of the proportional relationship between sit-ups and seconds if a student can do 40 sit-ups in 60 seconds.

Graph

Seconds are plotted on the x-axis, and sit-ups are plotted on the y-axis The graph will match that shown in the attachment.

<95141404393>

please help me with this calculate the volume of the cone and round it to the nearest hundredth

Answers

ANSWER:

The volumen of the cone is 667.07 cubic meters

The volume has the following formula

[tex]V=\frac{1}{3}\pi\cdot r^2\cdot h[/tex]

replacing:

[tex]\begin{gathered} V=\frac{1}{3}\cdot3.1416\cdot7^2\cdot13 \\ V=667.07 \end{gathered}[/tex]

One card is drawn from a standard deck of 52 playing cards. Find the probability of each of the following events:

Answers

1) Probability of drawing a spade is 14

2) Probability of drawing a seven is 1/13

3) Probability that a heart or spade is drawn = 1/2

4) Probability that blackjack is drawn = 1/26

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

1) There are 13 spades in total.

hence, the likelihood of drawing a spade is 13/52, or 14.

2) The sum of the seven is four. (4 suits are in the room)

Probability = 4/52 = 1/13

(3) A heart or spade is drawn.

Total hearts and spades: 13 + 13 = 26

Probability = 26/52 = 1/2

4) A blackjack is drawn, with a total of two blackjacks.

Probability = 2/52 = 1/26.

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Two fields of equal soil types and slope both had corn planted last year. It was the first year that the newly installed center pivot irrigation systems were used - one system per field. However, these systems were made by two different manufacturers.

Suspecting that one of the systems in particular is oversupplying water to the corn, the farmer set up sensors on the edge of the field adjacent to a drainage ditch to measure the total runoff in the two fields. The data from these two sensors is displayed below:



Water runoff (gallons)

Irrigation System #1

11.4 12.4 12.1 11.8 11.8 11.7 12.3 12.0 11.8

Irrigation System #2

13.0 12.4 12.4 12.1 12.3 12.1 12.5 12.0 12.1

The question of interest is whether these two systems produce significantly different runoff. Find the value of the test statistic for the this test (hint: this is a kind of t-test - read the problem carefully to infer exactly which kind).

Answers

More surprising was a recent report of severe erosion brought on by rain in a well-kept, drip-irrigated subtropical fruit orchard in Limpopo

It is widely known and has been extensively researched for many years how soil erosion occurs in rangelands and locations where crops are watered by rain. However, it appears that knowledge of and research on the severe soil erosion that occurs in irrigated regions is lacking. When center pivot irrigation was used on highly crusting, extremely unstable soils, such as those from the Eastern Cape and the Lowveld of Mpumalanga, major gully (donga) erosion ensued, according to information the author has previously and more recently received. After the irrigation was put in place, they grew quite fast. More surprising was a recent report of severe erosion brought on by rain in a well-kept, drip-irrigated subtropical fruit orchard in Limpopo.

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Help?
(ii) Not sure what scale factor is
(ii) And I’ve never learnt this

Answers

This video from khan academy should clear up your confusion on scale factors.

https://www.khanacademy.org/math/7th-engage-ny/engage-7th-module-1/7th-module-1-topic-d/v/identifying-scale-factors

can you help me find the answer to this question find the area of this figure round your answer to the nearest hundredth use 3.14 to approximate tt. a= ? ft 2

Answers

First, let's calculate the area of the triangle.

[tex]A=\frac{1}{2}b\cdot h[/tex][tex]A=\frac{1}{2}\cdot6\cdot8=\frac{48}{2}=24\text{ ft2}[/tex]

Now let's calculate the area of the semicircle.

[tex]A=3.14\cdot\frac{r^2}{2}[/tex][tex]A=3.14\cdot\frac{4^2}{2}=25.12\text{ ft2}[/tex]

The total area of the figure is:

24+25.12 ft2 = 49.12 ft2

The safe load, L. of a wooden beam supported at both ends varies jointly as the width, w, the square of the depth, d. and inversely as the length. I. A wooden beam 8 in. wide. 6 in. deep, and 10 ft long holds up 1966 lb. What load would a beam 3 in. wide 9 in. deep and 11 ft long of the same material support? (Round off your answer to the nearest pound.)

Answers

The safe load, L of a wooden a beam 3 in. wide 9 in. deep and 11 ft long of the same material support is 307.17

Analyzing the given conditions in the question, we get

The safe load, L is directly proportional to width (w) and square of depth (d²)

also,

L is inversely as length (l) i.e L = k/l

combining the above conditions, we get an equation as:

L = k(wd²/l)

now, for the first case we have been given

w = 8 in

d = 6 in

l = 10 ft

L = 1966 lbs

thus,

1966 lb = k ((8 × 6²)/10)

or

k = 68.26 lbs/(ft.in³)  

Now,

Using the calculated value of k to calculate the value of L in the second case  

in the second case, we have

w = 3 in

d =9 in

l = 11 ft

Final Safe load L' =  68.26 × (6 × 3²/12)

or

L' =307.17 lb

Therefore, The safe load, L of a wooden a beam 3 in. wide 9 in. deep and 11 ft long of the same material support is 307.17

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How much interest is earned in an investment if $720 is deposited monthly at 7.8% compounded monthly if the term of the investment is 6 years?$__________Round to the nearest cent

Answers

Given:

The initial investment is, P = $720.

The rate of interest is, r = 7.8% = 0.078.

The number of years of investment is, t = 6 years.

Explanation:

The general formula to find the compound interest is,

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Here, n represents the number of times compounded in a year. It is given that the amount is compounded monthly, so the value of n = 12.

To find total amount after 6 years:

Now, substitute the given values in the general equation.

[tex]\begin{gathered} A=720(1+\frac{0.078}{12})^{12(6)} \\ =720(1+0.0065)^{72} \\ =1147.95 \end{gathered}[/tex]

Thus, the total amount earned is $1147.95.

To fnd interest amount:

Now, the amount of interest can be calculated as,

[tex]\begin{gathered} I=A-P \\ =1147.95-720 \\ =427.95 \end{gathered}[/tex]

Hence, the interest amount earned is $427.95 and the total amount earned is $1147.95.

there are 13 porters carrying total weight of 195 kg on an expeditioin. extra porters joined the group so, they carry average weight of 13kg of baggage. find the number of portes added

Answers

Answer: 2 porters joined the group

Step-by-step explanation:

First, you are told that "13 porters are carrying a total weight of 195kg". You can use this information to create an equation to find the average weight carried by each porter.

[tex]\frac{195 kg}{13}=15kg[/tex]

^195kg (total weight) divided by 13 (the number of porters) is equal to 15kg (the average weight carried by each of the 13 porters).

You are then told that "extra porters join the group, so they carry an average weight of 13 kg of baggage". because some porters joined the group, you'll have to add p (p = number of porters) to the original equation and change the average weight from 15kg to 13kg.

[tex]\frac{195kg}{13 +p} = 13kg[/tex]

^195kg (total weight) divided by 13+p (total number of porters after some joined group) is equal to 13kg (new average weight)

You can then use your new equation to solve for "p" and find the number of porters added.

p = 2

1messageJosh wants to estimate the mean age in a population of trees. He'll sample n trees and build a 95% confidence interval for the mean age. He doesn't want the margin of error to exceed 3 years. Preliminary data suggests that the standard deviation for the ages of trees in this population is 16 years.Which of these is the smallest approximate sample size required to obtain the desired margin of error?11 trees110 trees144 trees43 trees87 trees

Answers

The formula for the margin of error is

[tex]\begin{gathered} \text{MOE}=SE\times critical\text{ value} \\ SE\Rightarrow\text{standard error} \end{gathered}[/tex]

The critical value for 95% confidence interval is 1.96

The standard error is

[tex]\begin{gathered} SE=\frac{\sigma}{\sqrt[]{n}} \\ \sigma\Rightarrow standard\text{ deviation} \\ n\Rightarrow\text{sample size} \end{gathered}[/tex]

To know which of the list of options will yield approximately the desired margin of error, we will have to calculate the margin of error with the following values

For 110 trees, n= 110, standard dev. =16

[tex]\begin{gathered} SE=\frac{16}{\sqrt[]{110}}=1.53 \\ \text{MOE}=1.53\times1.96=2.9988 \end{gathered}[/tex]

For 144 trees, n=144, standard dev=16

[tex]\begin{gathered} SE=\frac{16}{\sqrt[]{144}}=\frac{16}{12}=1.33 \\ \text{MOE}=1.33\times1.96=2.61 \end{gathered}[/tex]

For 43 trees, n=43 , standard dev.=16

[tex]\begin{gathered} SE=\frac{16}{\sqrt[]{43}}=2.44 \\ \text{MOE}=2.44\times1.96=4.782 \end{gathered}[/tex]

For 87 trees, n= 87, standard dev=16

[tex]\begin{gathered} SE=\frac{16}{\sqrt[]{87}}=1.72 \\ \text{MOE}=1.72\times1.96=3.3712 \end{gathered}[/tex]

Hence, from the above calculations, the most prefered is the sample size of 110 trees (because the margin of error of 2.9988 is approximately 3 )

Answer is 110 trees

Lottery numbers in a particular state consist of 5 digits. Each lottery cube that is drawn/rolled has six sides, numbered 1-6. How many different lottery numbers are possible? O 720 lottery number O 7776 lottery numbers

Answers

As per the concept of probability, there are 7776 different lottery numbers are possible.

Probability:

Probability means the concept that is based on the possible chances of something to happen.

Given,

Lottery numbers in a particular state consist of 5 digits. Each lottery cube that is drawn/rolled has six sides, numbered 1-6.

Here we need to find how many different lottery numbers are possible.

Through the given question we know that,

The number of digits in a lottery ticket = 5

Side in cube = 6

So, in each time they will roll the dice 5 times to get one number.

So, the possible options of that event are,

For the first time we have 6 options

Second time we got 6 options

Third time also we got six option

Fourth time = 6 options

Fifth time = 6 options.

Therefore, it can be written as,

=> 6 x 6 x 6 x 6 x 6

=> 6⁵

=> 7776.

Therefore, there are 7776 different lottery numbers are possible.

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6 to the negative 3rd power times 6 to the 2nd power times 6 to the 5th power times 6

Answers

The value of 6 to the negative 3rd power times 6 to the 2nd power times 6 to the 5th power times 6 is 6^5.

What is an exponent?

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

Based on the information given, the numbers will be expressed as:

6^-3 × 6^2 × 6^5 × 6

= 6^5

It's important to note that they've the same base. Therefore, the powers will be added thus:

= -3 + 2 + 5 + 1

= 5

This gives 6^5. This illustrates the concept of exponents.

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damion started solving this equation in an even different way what did he do first

Answers

With the help of Linear equation we can say that  Damion added 12 on both sides.

What is linear equations?Equations with variables whose maximum power is 1 are said to be linear equations. A linear equation has a straight line as its graph.

The given equation was,

12x + 4 = 20x-12

If we will add 12 on both sides ,

12x + 16= 20x

Hence we can say that Damion added 12 to both sides.

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Mrs. Jenkins is catering a school dance and wants to know how manystudents prefer tacos and how many prefer hot wings.296 students preferred tacos63% of students preferred hot wings.How many students in total were attending the dance?

Answers

Let x represent the total number of students that attended the dance. This means that

number of students that prefer tacos + number of students that prefer hot wings = x

Percentage is expressed in terms of 100. If 63% of the students preferred hot wings, then the number of students that preferred hotwings is

63/100 * x = 0.63x

If 296 students preferred tacos, it means that

293 + 0.63x = x

x - 0.63x = 296

0.37x = 296

x = 296/0.37

x = 800

Thus, a total of 800 students attended the dance

Explain how you can use addition of groups to show that 4 x ( -3) = 12

Answers

The technique of repeated addition involves combining equal groups.

4 x ( -3) = 12.

Repeated addition is the combining of equal groupings. It offers a basis for comprehending multiplication. For instance, 3 x 5 can be expressed as 5 + 5 + 5 to represent 3 groups of 5 counters.

We have been given that

4 x ( -3) = 12

By using repeated addition for multiplication

Add 4 three times or add 3 for times ..

In question negative 3 is given so we add negative 4 , three times

(-4) + (-4) + (-4)

-12.

Or

Add negative 3 , four times

(-3) + (-3 )+ (-3) + (-3)

-12.

Hence, we solved given multiplication by the using repeated addition method.

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Given m∥n, find the value of x

Answers

Answer:

x=55

Step-by-step explanation:

2x+6+x+9=180

3x=165

x=55

:]


Capital Gate Tower is
150 meters tall
(measured vertically
from the ground) and
makes a 72° angle
with the ground. If
you were to climb to
the top and then
accidently drop your
keys, how far from
the base of the tower
would they land?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{150}{x} =tan72 \\x=150 cot~72=150 cot(90-18)=150 ~tan ~18 \approx 48.74 ~meteres[/tex]

Towson Corporation issued $150,000 of 7% ten year bonds at 103 on the semi-annual interest date. Towson uses the straight line method to amortize any bond premium or discount. What is the amount of bond amortization for each six month period? Answer in whole dollars (no cents).

Answers

The amount of bond amortization for each six month period is [tex]\$225[/tex].

In the given question,

Towson Corporation issued [tex]\$150,000[/tex] of [tex]7\%[/tex] ten year bonds at [tex]103[/tex] on the semi-annual interest date.

Towson uses the straight line method to amortize any bond premium or discount.

We have to find the amount of bond amortization for each six month period.

Cash issued [tex]=\$150,000[/tex]

Rate [tex]=7\%[/tex] ten year bond at [tex]103[/tex] n the semi-annual interest date.

So the cash proceed on issue of bond = Cash issued [tex]\times103[/tex] [tex]/100[/tex]

Cash proceed on issue of bond [tex]=\$150,000\times\frac{103}{100}[/tex]

Firstly simplifying ratio

After simplification of ratio

Cash proceed on issue of bond [tex]=\$150,000\times1.03[/tex]

Now simplifying after multiplication

Cash proceed on issue of bond [tex]=\$154,500[/tex]

Hence, the cash proceed on issue of bond is [tex]\$154,500[/tex].

Now we find the premium that issued in the bond.

Premium on issue of bond [tex]=\$154,500-\$150,000[/tex]

Simplifying

Premium on issue of bond [tex]=\$4,500[/tex]

Hence, the premium on issue of bond is [tex]\$4,500[/tex]

Now finding the amount of bond amortization for each six month period.

Bond Amortization = (Premium on issue of bond/10 years) * 1/2

Bond Amortization [tex]=(\frac{\$4500}{10})\times\frac{1}{2}[/tex]

Simplifying the ratio

Bond Amortization [tex]=\$450\times0.5[/tex]

Bond Amortization [tex]=\$225[/tex]

Hence, the amount of bond amortization for each six month period is [tex]\$225[/tex].

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Simplify the expression 5(-7 + 3k)

Answers

The given expression is,

[tex]5(-7+3k)[/tex]

Opening the brackets and multiplying each term inside the bracket with 5, we get,

[tex]\begin{gathered} \lbrack5\times(-7)\rbrack+(5\times3k)=-35+15\text{ k} \\ 15k=35 \\ k=\frac{35}{15}=2.33 \end{gathered}[/tex]

The simplified expression is 15k = 35 and the value of k is 2.33.

The table shows how much money Tearra has after buying some games and represents a linear function.
Number of games 0 1 2 3
Amount of money $106.50 $71 $35.50 $0
What is the yintercept of the function shown in the table, and what does it represent?
A. The y-intercept is (0,106,50). Tearra has $106.50 before buying any games.
B. The y-intercept is (0,106.50). Tearra spends $106.50 per game.
C. The y-intercept is (3,0), and the 3 represents the number of games Tearra buys.
D. The y intercept is (3,0), and the 3 represents the amount of money Tearra spends per game.

Answers

Answer:

C. The y-intercept is (0, 150). Diego has $150 before buying any

Step-by-step explanation:

Brainlylist?

Step-by-step explanation:

Answer: The answer would be A.

Step-by-step explanation:

identify the mapping diagram that represents the relation and determine whether the relation is a function

Answers

F is the correct answer (option A) that is, the relation is like many to one. So, it is a function.

Given mapping diagram that represents the relation.

We have to determine whether the relation is a function.

(-8, -6), (-5, 2), (-8, 1), (7, 3)

Here,

Domain = (-8, -5, 7)

Range = (-6, 2, 1, 3)

A function is a relation where each input has only one output.

Here,

F. The relation is like many to one. So, it is a function.

G. The relation is many to one. So, it is a function.

H. The relation is one to many. It is not a function.

G. The relation is one to many. It is not a function.

So, F is the correct answer (option A) that is, the relation is like many to one. So, it is a function.

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Complete both transformations below.
Then enter the final coordinates of the figure.
A(-1,3)
B(2,1)
C(1-1)
1) <2,3>
2) Dilate K = 2
A" ([?], [])
B" ([][])
C" ([],[])
Enter

Answers

Answer:

A" (2, 12)

B" (8,8)

C" (6, 4)

Step-by-step explanation:

For each point P(x, y) of the image, the translations are as follows:

Translate P(x, y) by <2, 3> [tex]\longrightarrow[/tex] P'(x + 2, y + 3) [tex]\longrightarrow[/tex] P'(x', y')

Dilate P'(x', y') by 2 [tex]\longrightarrow[/tex] P'' (x'', y'') [tex]\longrightarrow[/tex] P(2x', 2y')

Point      [tex]\longrightarrow[/tex]           Translate <2, 3>                   [tex]\longrightarrow[/tex]       Dilate by 2

A(-1, 3)    [tex]\longrightarrow[/tex]         A'(-1 +2, 3 + 3) =>  A'(1, 6)       [tex]\longrightarrow[/tex]            A''(2, 12)

B(2, 1)     [tex]\longrightarrow[/tex]         B'(2 + 2, 1 + 3) =>  B'(4, 4)       [tex]\longrightarrow[/tex]           B"(8, 8)

C(1, -1)    [tex]\longrightarrow[/tex]          C'(1 + 2, -1 + 3) =>  C'(3, 2)     [tex]\longrightarrow[/tex]            C"(6, 4)

Carry your intermediate competations at least four decimal places were on your answer to 2 decimal places

Answers

Given that Z follows the standard normal distribution, and that the left-tailed probability for a z-score c is:

[tex]P(Z\leqslant c)=0.8531[/tex]

Then, we can see that the value of c, round to two decimal places, is:

[tex]c=1.05[/tex]

Other Questions
How did the Ottoman Empire prosper for such a long time? True or false. The quick access toolbar allows you to access tools you do not use frequently [TIMED]Which of these factors did Spencer ignore in his theories of social Darwinism?A) social variables that result in unequal opportunitiesB) human ambition, which enables people to strive to succeedC) competition within the human species that has parallels in natureD) the desire of the human race to categorize others as winners or losers Explain this statementAll group 1 metals react with cold water to form hydrogen and an alkali. The oxides of these metals are basic and their chlorides are soluble in water. The valency of each group 1 is one. Therefore the formula of its nitrate is MNO3 Questions 12-15. Data from Ivy Techs advising center shows that their wait times follow a normal distribution. Use theEmpirical Rule to answer the following questions. 5 10 15 20 25 30 3512. What percent of students will wait between 15 and 25 minutes? (round to the nearest whole number)13. What percent of students will wait less than 20 minutes? (round to the nearest whole number)14. What percent of students will wait more than 35 minutes? (round to the hundredths place)15. If 5,300 students come to the advising center, how many students would wait more than 35 minutes? (round to thenearest student) find the range of each function:f(x) = 2^x [tex]f(x) = - 5 \leqslant x \leqslant 4[/tex]please give me explaination The function f(x) is shown below.X-6-358f(x)12530If g(x) is the inverse of f(x), what is the value of f(g(2))?O-6O-302O 5 5 major important points in the jaws of alligator What happened to moro gulf earthquake? Make sure to use scientific information and talk about how the plates moved. what is 3 1/2 x 4 1/2 x 5 ft * 5 1/6 x 5 1/4 x 3 1/3 x 4 1/2 in 5 ft x 5 1/3 * 2/3 A car is driving away from you at a constant speed for a while, and then it gradually slows to a stop. Imagine a speed-versus-time graph showing the cars motion. Describe the line on the graph. Rearrange these words.listen PartA)What are the transformations are needed in in order to obtain the graph of G(x) from the graph of f(x) Select all that applyPartB) Graph g(x) Evaluate r(x) = 3x - 10 when x= -4. r(-4)=_ Which is true?A. 2680 > 2806B. 2860 > 2806C. 2680 < 2086D. 2806 < 2680 Find the value of x. The diagram is not to scale. Lines fand g are parallel. f g5x9x+26A. 10B. 11C. 12D. -11 Select the values that make the inequality d7 true. Then write an equivalent inequality, in terms of d. -12 -8 -7.1 -7 -6.9 -6 -2 0 2 6 6.9 7 7.1 8 12 17. This question is based on the following paragraph. The sentences are numbered to help you answer the question.(1) Earth's crust is made up of relatively rigid plates that ride atop Earth's hot, semiliquid mantle. (2) The plates are called tectonic because they're in constant motion. (3) They can move because Earth's mantle is a very hot andsemilliquid fuld called magma (4) Volcanoes are a result of magma rising up or erupting through a plate, particularly where plate boundaries are moving against each other. (5) Also, when plates slide against each other, causingfriction along adjacent plate boundaries, earthquakes frequently occur. (6) Therefore, we often find volcanoes and earthquakes along plate boundaries. (7) Plates may also collide. (8) When that happens, mountain ranges are formed.(9) For example, the collision of the plate carrying the Indian subcontinent created the Himalayan Mountains when it collided with the Asian plateWhich statement about this paragraph is accurate?OA. There is an implied topic-the moving plates in Earth's crust have many effectsOB. There are no supporting details for the main ideaOC. The topic sentence is the found in the last lineOD. The author uses comparison and contrast to organize ideas PLEASE HELP!Keisha is making a small sign in the shape of a triangle for her store. She wants the height of the triangle to be 4 inches. The area of the sign must be less than10 square inches. (Keisha doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle. Use b for the base length of the triangular sign. Consider the following two data sets. Data Set 1: 8 16 20 35 Data Set II: 5 13 17 32 Note that each value of the second data set is obtained by subtracting 3 from the corresponding value of the first data set. a. Calculate the mean for each of these two data sets. Comment on the relationship between the two means. b. Calculate the standard deviation for each of these two data sets. Comment on the relationship, between the two standard deviations.