25 pints of apple juice are poured into 1/2 pint bottles. how many bottles can be filled with apple juice

Answers

Answer 1
50 pints because 25x2 is equal to 50
Answer 2

The number of bottles to fill 25 pints of apple juice will be equal to 50.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The Number of the bottles = 25 / (  1 / 2 )

                                             = 25 x 2

                                             = 50

Therefore, the number of bottles to fill 25 pints of apple juice will be equal to 50.

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Related Questions

When "P" Dollars is invested at interest rate "i", compounded annually, for "t" tears, the investment grows to "A" dollars, where A=P(1+i)^t. When Sara enters 11th grade, her grandparents deposit $10,000 in a college savings account. Find the interest rate "i", if the $10,000 grows to $11,193.64 in two years.

Answers

The interest rate is 0.58, or 58 percent.

11,193.64 = 10,000 (1 + i)^2
Divide each side by 10,000.
1.119364 = (1 + i)^2
Take the square root of both sides.
1.058 = 1 + i
Subtract 1
i = 0.58

Final answer:

The annual interest rate compounded annually that grows $10,000 to $11,193.64 in two years is approximately 5.882%.

Explanation:

To find the interest rate i if the $10,000 grows to $11,193.64 in two years, we can rearrange the compound interest formula to solve for i:

[tex]A = P(1 + i)^t[/tex]

Given:
A = $11,193.64
P = $10,000
t = 2

Rearranging the formula to solve for i, we get:

[tex](A / P) = (1 + i)^t[/tex] → (11,193.64 / 10,000) = (1 + i)²

Now we must solve for i:

1.119364 = (1 + i)² → i = [tex]\sqrt{(1.119364)}[/tex] - 1

Calculating the square root of 1.119364 and subtracting 1 gives us:

i ≈ 0.05882 or 5.882%

Therefore, the annual interest rate compounded is approximately 5.882%.

what is the radius of a circle with an area of 32.1 square feet

Answers

First you need to divide the area by pi. Then take that answer and square-root it. Your answer should come out to about 3.2 is the radius.

how do I answer this?

Answers

the entire goal is to isolate the x
So if you have 31/25x=-62, you would multiply by 25 on each side to get rid of the denominator, -62x25 is -1,550. So now you're left with 31x=-1,550, so you want to divide by the 31 to isolate the x. -1550/31 is -50. So x=-50

use the fundamental theorem of algebra to determine the number of roots for 2x^2+4x+7

Answers

Altho' I'm not using the fund. thm. of alg. specifically to determine the # of roots of 2x^2 + 4x + 7, polynomials of the nth degree all have n roots.

Completing the square:  2x^2 + 4x                                 + 7
                                       2(x^2 + 2x + 1   -   1)                +7
                                        2(x+1)^2           - 2                    +7
                                        2(x+1)^2 + 5

To solve for the roots, set the above = to 0 and solve for x:

2(x+1)^2 = -5   =>   (x+1)^2 = -5/2
 
 x+1 = plus or minus sqrt (-5/2)       => x+1 = plus or minus i*sqrt(5/2)

... and so on.  As expected, this 2nd order poly has 2 roots.  The roots in this case happen to be complex.                

2767545 to the nearest ten

Answers

276550 hope this helps !
2767550 should be correct since 4 occupies the tens place and the number to the left is 5 which you round up,

Prove or disprove each of these statements about the floor and ceiling functions.

Answers

Most symbols denote functions or operators. A monadic function takes as its argument the result of evaluating everything to its right. (Moderated in the usual way by parentheses.) A dyadic function has another argument, the first item of data on its left. Many symbols denote both monadic and dyadic functions, interpreted according to use. 

A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 48 states. What is the probability that she selects the route of three specific​ capitals?

Answers

she will most likely go to 3 specific

The probability that the candidate selects the route of three specific capitals out of 48 states is [tex]\( \frac{1}{17296} \)[/tex].

To calculate the probability of the candidate selecting the route of three specific capitals out of 48 states, we need to consider the total number of possible routes and the number of routes that include the specific capitals.

Calculate the total number of possible routes.

Since the candidate plans to visit 3 out of 48 states, the total number of possible routes is the number of ways to choose 3 states out of 48, which can be calculated using combinations:

[tex]\[ \text{Total number of routes} = \binom{48}{3} \][/tex]

Calculate the number of routes including the specific capitals.

Since the candidate plans to visit the capitals of three specific states, there is only one way to choose each of those specific states. So, the number of routes including the specific capitals is 1.

Calculate the probability.

[tex]\[ \text{Probability} = \frac{\text{Number of routes including specific capitals}}{\text{Total number of possible routes}} \][/tex]

[tex]\[ = \frac{1}{\binom{48}{3}} \][/tex]

Now, let's compute this.

[tex]\[ \binom{48}{3} = \frac{48!}{3!(48-3)!} = \frac{48 \times 47 \times 46}{3 \times 2 \times 1} = 17296 \][/tex]

So, the probability is:

[tex]\[ \text{Probability} = \frac{1}{17296} \][/tex]

Therefore, the probability that the candidate selects the route of three specific capitals out of 48 states is [tex]\( \frac{1}{17296} \)[/tex].

Describe t-test and explain how to interpret its results ?

Answers

A t-test is usually two or more test used to determine the correct statistics of a situation. To interpret the results of a t-test there must be two or more test in order to compare the differences of the samples to get the accurate result.
Final answer:

The t-test is a statistical test used to compare the means of two samples. The t-score, which represents the standardised difference between group means, and the p-value, which gives the probability of observing the data given the null hypothesis, are key components of the t-test result interpretation. A small p-value (typically less than 0.05) typically leads to rejection of the null hypothesis.

Explanation:

The t-test is a statistical measure used in hypothesis testing to analyze the difference between two sample means. Key to proper interpretation of its results is understanding the test statistic, otherwise known as the t-score, and the p-value.

The t-score is calculated by subtracting one measure from the other and dividing by the standard error to standardize the difference. A large absolute value of the t-score indicates a larger difference between the groups being compared. The t-distribution, which the t-score follows, depends on the sample size (n) and has n - 1 degrees of freedom.

The p-value, usually calculated using technology, is the probability that you would observe the given t-score (or one more extreme) if the null hypothesis was true. It corresponds to the combined area in both tails of the t-distribution. If the p-value is small (typically less than 0.05), this suggests the differences you observed are statistically significant, and you would reject the null hypothesis.

When comparing the results, note that 95 percent of all confidence intervals constructed in this way contain the true value of the population mean statistic.

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How to convert pounds to ounces

Answers

To convert pounds to ounces we can use a conversion factor. For instance, a conversion factor can be used to turn 2 pounds to ounces. Lets do that real fast.

First we need to find out how many pounds are in an ounce. 

1 pound = 16 ounces  
OR
1:16
OR
1 lb/ 16 ounce
OR
16 ounces / 1 lb

Now to convert we just use the conversion factor by multiplying the pounds by the conversion factor 16 ounces / 1 lb
[tex]2 \; lb \times \frac{16 \; ounces}{1 \; lb} = 32 \; ounces[/tex] 


Step-by-step explanation: To convert pounds into ounces, we need to start with a conversion factor for pounds and ounces which is 16 ounces = 1 pound.

Next, since we are going from a larger unit "pounds" to a smaller unit "ounces" we will multiply the pounds by our conversion factor.

Finally, our product will be our answer.

Determine the common ratio and find the next three terms of the geometric sequence.


10, 2, 0.4, ...



a.

0.2; -0.4, -2, -10

c.

0.02; 0.08, 0.016, 0.0032


b.

0.02; -0.4, -2, -10

d.

0.2; 0.08, 0.016, 0.0032



Answers

Answer:

  d.  0.2; 0.08, 0.016, 0.0032

Step-by-step explanation:

The common ratio is the ratio of adjacent terms:

  r = 2/10 = 0.4/2 = 0.2

__

Multiplying the last term by this ratio gives the next term:

  0.4×0.2 = 0.08

  0.08×0.2 = 0.016

  0.016×0.2 = 0.0032

The next 3 terms are 0.08, 0.016, 0.0032.

Answer:

Option D)

Common ration = [tex] \frac{1}{5}[/tex] = 0.2

The next three terms of the given series are: 0.08, 0.016, 0.0032

Step-by-step explanation:

We are given the following information in the question:

We are given a geometric sequence:

[tex]10, 2, 0.4, ...[/tex]

Geometric Series

A geometric series is a series with a constant ratio between successive terms

We have to find the common ration of the given geometric series:

[tex]\text{Common ration} = \displaystyle\frac{\text{Second term}}{\text{First term} }=\frac{2}{10} = \frac{1}{5}[/tex]

The [tex]n^{th}[/tex] term of a geometric sequence is given by:

Formula:

[tex]a_n = a_1\timesr^{n-1},\\\text{where }a_1 \text{ is the first term of the geometric series and r is the common ratio}[/tex]

[tex]a_4 = a_1\times r^{4-1} = 10\times \bigg(\displaystyle\frac{1}{5}\bigg)^3 = 0.08\\\\a_5 = a_1\times r^{5-1} = 10\times \bigg(\displaystyle\frac{1}{5}\bigg)^4 = 0.016\\\\a_6 = a_1\times r^{6-1} = 10\times \bigg(\displaystyle\frac{1}{5}\bigg)^5 = 0.0032[/tex]

G find the probability that (a) more than 5, (b) between 1 and 3, (c) less than or equal to 2, bulbs will be defective

Answers

a.7
b.2
c.1


there is ur answer have a good day

Which ordered pair is in the solution set of the following system of inequalities? y>0.5x+4 y≥‒3x+10 A. (2, 6) B. (1, 5) C. (3, 2) D. (4, 5)

Answers

The answer is B. (1,5) because when you insert them into both equations it comes out true for both

If a(x) = 3x + 1 and b(x)=square root of x-4 , what is the domain of (b*a)(x)?
A.(-infinity ,+infinity)
B.(0 , +infinity)
C.(1 , +infinity)
D.(4 , +infinity)

Answers

B. (0, +infinity)

When it is asked to know (b×a)(x), it is being asked to know what are the Y coordinates that are common in both graphs. When it a multiplication think of "and" - what are the Y that are on one graph and simultaneously on the other graph.
Design the graph of both functions on a calculator, or online, wherever. Then, look for when both functions have coordinates. All of them that are common to both graphs are the domain of (b×a)(x).

How much greater was Miami's annual rainfall than Albany's?
The annual rainfall in Albany is 0.33 inch less than the annual rainfall in Nashville. How much less rainfall did Nashville get than Miami? Show your work.
Miami rainfall 61.05 inches
Albany rainfall 46.92 inches

Answers

A- 46.92
M-61.05
N-?


N=A+.33
N=47.25
61.05-46.92= Miami's annual rainfall is 14.13 inches more than Albany
61.05-47.25=Nashville got 13.8 inches less than Miami
Final answer:

Miami's annual rainfall was 14.13 inches greater than Albany's. It is not possible to determine from the given information how much less rainfall Nashville had than Miami.

Explanation:

To find the difference in annual rainfall between Miami and Albany, we need to subtract the rainfall of Albany from Miami.

Miami rainfall = 61.05 inches

Albany rainfall = 46.92 inches

So, Miami's annual rainfall is greater by:

61.05 inches - 46.92 inches = 14.13 inches

Now regarding the second question about Nashville and Miami, we don't have the absolute rainfall measurement for Nashville, thus we can't answer specifically how much less rainfall Nashville had than Miami.

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A 3-foot piece of wire costs $0.76. What is the unit price, rounded to the nearest cent?

Answers

divide total cost by length:

0.76 / 3ft = 0.2533 cents per foot

 rounded to nearest cent = 0.25 cents per foot

DBE is obtained by enlarging ABC. If the area of ABC is 3 square units, what is the area of DBE?
A. 27 square units
B. 24 square units
C. 12 square units
D. 9 square units

Answers

In two similar triangles, like the one we see above, the ratio of their areas is the square of the ratio of their sides. 

Based on the graph, we see that BD is 3 times larger than BA. This means that the area of DBE will be 3² times larger, or 9 times larger, than the area of ABC.

Area of ABC = 3 square units
Area of DBE = 3 * 9 = 27 square units
Answer is A. 

Answer:

A. 27 square units

Step-by-step explanation:

PLATO 2022 Lnhs

Your high school freshman class consists of 760 students. In recent years only 4 out 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years

Answers

To find out how many of the 760 students in the freshman class are expected to graduate in four years, we use the rate of 4 out of 7 students graduating. This calculation yields approximately 434 students expected to graduate.

To calculate the approximate number of students expected to graduate in four years from a freshman class of 760 students, given a historical graduation rate of 4 out of 7, we use a simple proportion calculation. We set up a proportion where 4 out of 7 students graduate, which can be written as 4/7 = x/760, where x represents the number of graduating students.

Calculating this, we get x = (4/7) times 760. To solve for x, multiply both sides of the equation by 760 to isolate x.

x = 760  imes (4/7) = 760  imes 0.57142857
Approximately x = 434

Therefore, we can expect that approximately 434 students in the freshman class will graduate in four years, based on the provided rate.

what is the sale tax on a 17500 truck if the tax rate is 6%

Answers

the sales tax is 1050

Answer: the sales tax is 1050

An experiment results in one of the sample points upper e 1e1​, upper e 2e2​, upper e 3e3​, upper e 4e4​, or upper e 5e5. complete parts a through
c.
a. find ​p(upper e 3e3​) if ​p(upper e 1e1​)equals=0.10.1​, ​p(upper e 2e2​)equals=0.10.1​, ​p(upper e 4e4​)equals=0.20.2​, and ​p(upper e 5e5​)equals=0.30.3.

Answers

Given that an experiment results in one of the sample points E1, E2, E3, E4, or E5.

Then P(e1) + P(e2) + P(e3) + P(e4) + P(e5) = 1

If P(E1)=0.1, P(E2)=0.1, P(e4)=0.2, and P(E5)=0.3., then P(E1) = 1 - 0.1 - 0.1 - 0.2 - 0.3 = 0.3

Therefore, P(e3) = 0.3

Kirin has 28 books. This is 7 times as many books as Gail has. Kirin made a model to compare the numbers of books they have. Which equation represents how to find the value of n?

Answers

Okay so Kirin has 28 books. This is 7 times as many books as Gail has. Soo..

28 / 7 = n

n = 4

Find an integer x such that 37x $\equiv$ 1 (mod 101).}

Answers

[tex]101=37\times2+27[/tex]
[tex]37=27\times1+10[/tex]
[tex]27=10\times2+7[/tex]
[tex]10=7\times1+3[/tex]
[tex]7=3\times2+1[/tex]

[tex]\implies1=7-3\times2[/tex]
[tex]\implies1=7\times3-10\times2[/tex]
[tex]\implies1=127\times3-10\times8[/tex]
[tex]\implies1=27\times11-37\times8[/tex]
[tex]\implies1=101\times11-37\times30[/tex]

[tex]\implies(101\times11+37\times(-30))\equiv37\times(-30)\equiv1\pmod{101}[/tex]

[tex]\implies 37^{-1}\equiv-30\equiv(101-30)\equiv71\pmod{101}[/tex]

Which digit represents "hundreds" in the number 8732?

Answers

Our primary counting system is based on binary digits to represent numbers

Charlie, who is 6 feet tall, walks away from a streetlight that is 16 feet high at a rate of 6 feet per second, as shown in the figure. Express the length s of Charlie's shadow as a function of time.

Answers

Final answer:

The detailed answer provides a step-by-step explanation of how to express the length of Charlie's shadow as a function of time based on his movement away from a streetlight.

Explanation:

Length of Shadow as a Function of Time:

Define the variables:

Express s as a function of time: s(t) = (h * d) / (d + rt), where r is Charlie's rate of movement away from the streetlight.

Calculate the specific function: In this case, s(t) = (16 * 6) / (d + 6t), where s is the length of the shadow at time t.

12^10·75^15/15^25·80^5

Answers

Final answer:

To solve this expression, apply the rules of exponents and convert the fractions to decimal values. Simplify the expression and use a calculator to find the decimal values of the powers. Divide the values and express the final result in scientific notation.

Explanation:

To solve this expression, we can first look at the different components. 12^10 means 12 raised to the power of 10. 75^15 means 75 raised to the power of 15. 15^25 means 15 raised to the power of 25. And finally, 80^5 means 80 raised to the power of 5.

Now, we can substitute these values back into the original expression: (12^10 · 75^15)/(15^25 · 80^5).

By using the rules of exponents, we can simplify this expression. For example, when you multiply two powers with the same base, you add the exponents. When you divide two powers with the same base, you subtract the exponents. Applying these rules, we get:

12^10 · 75^15/15^25 · 80^5 = (12/15)^10 · (75/80)^15/15^25 · 80^5 = (4/5)^10 · (3/4)^15/15^25 · 80^5.

To further simplify, we can convert the fractions into decimal values: 4/5 is equal to 0.8 and 3/4 is equal to 0.75. Substituting these values, we get:

(0.8)^10 · (0.75)^15/15^25 · 80^5 = 0.8^10 · 0.75^15/15^25 · 80^5.

We can use a calculator to find the decimal values of 0.8^10 and 0.75^15. After calculating the values and substituting them back into the expression, we get:

0.4 × 10^2 · 1.99 × 10^4/3.12 × 10^4 · 2.32 × 10^6 = 0.4 × 1.99/3.12 × 2.32 × 10^2 × 10^4 × 10^6 = 0.796/7.244 × 10^2 × 10^4 × 10^6.

Simplifying further, we get:

0.796/7.244 × 10^(2+4+6) = 0.796/7.244 × 10^12.

Dividing 0.796 by 7.244, we get approximately 0.1099373. So, the simplified expression is approximately 0.1099373 × 10^12.

the graph of g(x) is the graph of f(x)=8x+20 stretched horizontally by a factor of 4.

Which equation describes the function g?

1. g(x)= 8x+5
2. g(x)= 2x+5
3. g(x)= 32x+20
4. g(x)= 2x+20

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}[/tex]

f(x)=8x+20 is just a linear function, to have it "widen horizontally", that means the A component is some amount less than 1.

to expand it 4 times as much as the parent y = x, then

A = 1/4

[tex]\bf f(x)=\stackrel{A}{\cfrac{1}{4}}(\stackrel{B}{8}x\stackrel{C}{+0})\stackrel{D}{+20}\implies f(x)=\cfrac{1}{4}(8x)+20\implies f(x)=2x+20[/tex]

graph it if you wish.
g(x) = 2x + 20

I hope this helps. (:

completely factor the expression 16t^3 - 50t^2 + 36t

Answers

[tex]\bf 16t^3-50t^2+36t\implies 2t[8t^2-25t+18]\implies 2t[(8t-9)(t-2)][/tex]

An airliner carries 100 passengers and has doors with a height of 76 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8in.
a. If a male passenger is randomly​ selected, find the probability that he can fit through the doorway without bending.
​(Round to four decimal places as​ needed.)

Answers

First let us calculate for the z score using the formula:

z = (x – u) / s

where u is the mean height of men = 69 in, x is the height of the door = 76, and s is the standard deviation = 2.8 in

 

z = (76 – 69) / 2.8

z = 2.5

 

From the standard probability table, at z = -2.5 the probability P is:

P = 0.9938 = 99.38%

An ounce is 1/16 of a pound. How many ounces are in 8 3/4 pounds?

Answers

16*8=128
3/4=12/16
128+12=140
Answer: 140 ounces

I hope this helps.

There are 140 ounces are in 8 3/4 pounds.

Given that,

1 ounce = 1/16 pound

We can also write it as

1/16 pound = 1 ounce

Multiply 16 both sides we get,

1 pound = 16 ounces   ......(i)

Therefore,

There are 16 ounces in 1 pound.

Now we can write [tex]8\frac{3}{4}[/tex] in simple fraction as,

= (8x4+3)/4

= 35/4

Now we can say that [tex]8\frac{3}{4}[/tex] pounds as 35/4 pound as both are same quantity

Now, multiply 35/4 both sides in equation (i) we get,

35/4 pound = (35/4)x16 ounces

                    = 140 ounces.

Hence,

 [tex]8\frac{3}{4}[/tex] pounds = 140 ounces.

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What is the slope of this line?
a. −15
b. −5
c. 5
d. 15

Answers

Answer:

C. 5

Step-by-step explanation:

I did the test

Ken spent 1/5 of his allowance on a movie, 3/8 on snacks, and 2/7 on games. If his allowance was $20, how much did Ken have left?

Answers

Answer:

Ken is left with $2.79.

Step-by-step explanation:

We are given the following information in the question:

Ken allowance =  $20

Money spent on movies =

[tex]\displaystyle\frac{1}{5}\times 20 = \$4[/tex]

Money spent n snacks =

[tex]\displaystyle\frac{3}{8}\times 20 = \$7.5[/tex]

Money spent on games =

[tex]\displaystyle\frac{2}{7}\times 20 = \$5.71[/tex]

Total money spent =

[tex]4 + 7.5 + 5.71 = \$17.21[/tex]

Money left =

[tex]=\text{Allowance}-\text{ Total money spent}\\= 20 - 17.21\\=\$2.79[/tex]

Ken is left with $2.79.

Other Questions
What are possible solutions that may be used in the future to address agricultural issues?Increase organic farming.Increase fertilizer use.Develop "cleaner" pesticides.Decrease the use of chemical agents.Decrease biodiversity.there is more than one answer. Economists refer to the relationship that a higher price leads to a lower quantity demanded as the _____________.a. market equilibriumb. price modelc. income gapd. law of demand An argument that extrapolates specific instances to broad generalizations is known as Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4? How did the definition of west change in the years 1800 to 1860? Researchers (bond & smith, 1996) conducted a meta-analysis of 133 asch line-judgment studies conducted in 17 countries. they found that conformity was higher in ________ because normative social influence ________. individualistic cultures; conformity prevents conflict collectivistic cultures; promotes harmony agricultural cultures; survival depends on cooperation industrialized cultures; norms are more widely shared The graph of a line passes through the points (0, -2) and (6, 0). What is the equation of the line? What is the simplified form of each expression? (1 point)1.) -(10)^-1-1/10-1/1^101/10102.) 1/c^-5 (1 point)c^55c-c^5-5/c3.) What is the value of y^-5/x^-3 for x = 2 and y = -4? (1 point)10/3128-1/128-1284.) Is the number written in scientific notation if not, explain. 5.1 x 10^8 (1 point)Yes; the number is written in scientific notation.No; the first factor is not a number between 1 and 10.No; it is not written as a number times a power of 10.5.) What is the number written in a standard notation? (1 point)5.71 x 10^-3-171.30.05710.0005710.005716.) Suppose that the diameters of different types of hairs are 1.7 x 10^-4 cm, 1.4 x 10^-3 cm, 1.2 x 10^-5 cm, and 1.9 x 10^-4 cm? what is the order of the hairs from least to greatest diameter? (1 point)Who ever is good at math please ''Try'' to help me out here?! :D And Thank you so much if ya do! :P All of the following have the same unit price except _____. 2 for $5.08 5 for $12.70 1/2 for $1.27 2 2 1/2 for $6.25 Find JL if JK = 17 - x, KL = 2x - 7, and K is the midpoint of JL Imagine that you are shopping for a pair of fitness shoes. List at least five consumer strategies for obtaining a suitable pair. Topsoil occurs in this layer, which is composed of a combination of organic debris and mineral matter A driver in a car traveling at a speed of 26.8 m/s sees a deer 100 m away on the road. Calculate the minimum constant acceleration that is necessary of the car to stop without hitting the deer (assuming the deer does not move).-4.20 m/s2 -1.75 m/s2 -2.89 m/s2 -3.59 m/s2 What "drives" plate tectonics?A) lavaB) conductionC) continental driftD) heat and convection What is a major relationship between the scientific revolution and the Industrial Revolution? A. The scientific revolution led to new ways of thinking about the world, which led to the inventions that made the Industrial Revolution possible. B. The scientific revolution led to an increased number of jobs, which led to the work that made the Industrial Revolution possible. C. The scientific revolution led to vast migration, which led to the demographic changes that made the Industrial Revolution possible. D. The scientific revolution led to new ways of thinking about politics, which made the political structures that sparked the Industrial Revolution possible. Suppose a random sample of 36 is selected from a population with a standard deviation of 12. if the sample mean is 98, the 95% confidence interval for the population mean is ______________. What is a cost of using technology to transport water? What metaphor is used to describe the nucleus and DNA? What is the slope-intercept form of this equation?3x + 9y = 18A. y = -1/3x + 6B. y = -1/3x + 2C. y = 1/3x + 6D. y = 2/3x + 2 What is/are the effect(s) of the parallelism used in the above excerpt? Select all that apply.The survivors wanted to communicate everything to the living: the victims solitude and sorrow, the tears of mothers driven to madness, the prayers of the doomed beneath a fiery sky. They needed to tell of the child who, in hiding with his mother, asked softly, very softly, "Can I cry now?" They needed to tell of the sick beggar who, in a sealed cattle-car, began to sing as an offering to his companions. And of the little girl who, hugging her grandmother, whispered: "Dont be afraid, dont be sorry to die Im not."It uses ethos to establish credibility.It emphasizes the confession, the telling of what survivors saw.It gives his words the rhythm of a poem or sermon.It emphasizes the emotion in the words. Steam Workshop Downloader