how do I do simplified expenrntial form for stuff like (4³)⁷​

The question illustrates equivalent ratios, because both quadrilaterals are similar.

The length of GH is 35.1 units

From the question (see attachment), the corresponding sides are:

So, we have:

\(\mathbf{CD : DE = GH : HI}\)

The side lengths are:

\(\mathbf{HI = 51}\)

\(\mathbf{CD = 11}\)

\(\mathbf{DE = 16}\)

So, we have:

\(\mathbf{11 : 16 = GH : 51}\)

Express as fractions

\(\mathbf{\frac{11 }{ 16} = \frac{GH }{ 51}}\)

Make GH the subject

\(\mathbf{GH =51 \times \frac{11 }{ 16}}\)

\(\mathbf{GH =35.1}\)

Hence, the length of GH is 35.1 units

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Answer:

your answer is 2.

Step-by-step explanation:

3+6/2+2-3*2

3+3+2-3*2

3+3+2-6

6+2-6

8-6

2

Basically, follow PEMDAS (parenthesis, exponents, multipulcation, division, addition, and subtraction.) You move from left to right, Always remember that, ok.

0 0

 U

Answer:

37.68 or 12π

Step-by-step explanation:

C = 2πr

C = 2(3.14)6 = 37.68

Answer:

D

Step-by-step explanation:

To multiply

(5x² - 6x + 2)(4x² - 3x)

Each term in the second factor is multiplied by each term in the first factor, that is

5x²(4x² - 3x) - 6x(4x² - 3x) + 2(4x² - 3x) ← distribute parenthesis

= 20\(x^{4}\) - 15x³ - 24x³ + 18x² + 8x² - 6x ← collect like terms

= 20\(x^{4}\) - 39x³ + 26x² - 6x → D

Answer:

If the Jones family needs to reach their destination by 1:15 PM and their drive will take one and a half hours, we can work backwards to determine the latest time they can leave.

Subtracting 1.5 hours from 1:15 PM, we get:

1:15 PM - 1.5 hours = 11:45 AM

Therefore, the latest time the Jones family can leave and still reach their destination on time is 11:45 AM.

Lee's average speed in stage 3 of his journey is 83.33 km/h.

What is an average speed?

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Here, we have

Lee travels in stage 1 of his journey is

d = s × t

d = 30 × 3/4

d = 22.5km

Lee travels in stage 2 of his journey is

d = s × t

d = 50 ×2(48/60)

d = 140km

The average speed in stage 3 is

d = 200 - 140 - 22.5 = 37.5km

t = 4hr - 2hr48m - 45m = 27 min

s = 37.5 ÷ 0.45 = 83.33 km/h

Hence, Lee's average speed in stage 3 of his journey is 83.33 km/h.

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The margin of error of a confidence interval increases as:
c) the population standard deviation increases.



The margin of error (MOE) is influenced by three factors: the confidence level, the population standard deviation, and the sample size.

1. Confidence level: As the confidence level increases, the margin of error also increases because a higher confidence level requires a wider interval to ensure that the true population parameter is captured.
2. Standard deviation: As the population standard deviation increases, the margin of error also increases. A higher standard deviation indicates more variability in the population, leading to a wider confidence interval to account for this variability.
3. Sample size: As the sample size increases, the margin of error actually decreases because a larger sample provides more accurate estimates of the population parameter.

Therefore, among the given options, the margin of error of a confidence interval increases as the population standard deviation increases (option c).

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Answer:

C

Step-by-step explanation:

Because 7.5 is a positive and that is the slope and -2 is a negative and that is the y intercept.

Answer:

15.3 %

Step-by-step explanation:

400 / 2600 x 100 = 15.3 %

I hope im right!!

there is an increase of 3000 - 2600 = 400

400/2600 * 100 = 15.38 %

square 12cm

triangle 16cm

regular hexagon 9.6 cm

Given length of the sheet of paper = 125 cm Also given that breadth of the sheet of paper = 85 cm Area of a sheet of paper = Length x Breadth = 125 cm x 85 cm = 10,625 cm2 Length of sheet required for an envelope = 17 cm Breadth of sheet required for an envelope = 5 cm Area of the sheet required for one envelope = Length x Breadth = 17 cm x 5 cm = 85 c m2 Thus, required number of envelopes = 10,625/85 = 125

Perimeter of square field = Distance

Perimeter = 4s = 60 x 4 = 240m

Anil ran around the field 4 times. So, 240 x 4 = 960m

Anil ran 960 meters

Perimeter of rectangle = Distance

Perimeter = 2 (1 + b) = 2 (180 + 110) = 2 x 290 =

580m

Vinay ran around 2 times

So, 580 x 2 = 1160 meters

Now, 1160 - 960 = 200m

Thus, Vinay ran 200 meters more than Anil.

Answer

Step-by-step explanation:

The string length is the perimeter of the shape.

∴ For each case, perimeter=30cm

(i) Square

A square has all the side equal.

Perimeter=4×(side of square)

∴side of square=

4

perimeter

​

=

4

30

​

=7.5cm

Hence, length of each side if the string is used to form a square will be 7.5 cm.

(ii) Equilateral triangle

An equilateral triangle has three equal sides.

Perimeter=3×(side)

∴side=

3

perimeter

​

=

3

30

​

=10cm

Hence, length of each side if the string is used to form an equilateral triangle will be 10 cm.

(iii) Regular hexagon

A regular hexagon has six equal sides.

Perimeter=6×(side)

∴side=

6

perimeter

​

=

6

30

​

=5cm

Hence, length of each side if the string is used to form a regular hexagon will be 5 cm

The number of stops that the runner would make is 9.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Since the runner runs 1 4/5 miles and stops every 1/5 mile. The number of stops will be:

= Total mile / Stop

= 1 4/5 ÷ 1/5

= 9/5 ÷ 1/5.

= 9/5 × 5/1

= 9

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Answer:

Because she found it improves division.

Step-by-step explanation:

Answer:

The answer is B) -3 and 1/3

Explanation:

The answer must be between -3 and -4 because that is the location on the plot.

You count two ticks on the plot. The first one is 1/3. The second one is 2/3.

There is no third one because 3/3 would bring you to the next number.

The dot is on the first tick, meaning that it is 1/3. If the dot is between -3 and -4, you can conclude that the answer is -3 and 1/3.

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Answer:

B -3 1/3 because that is the place on the plot

Answer: $9.05

Step-by-step explanation:

divide 135.75 by 15 in order to find the cost of one album.

135.75 / 15 = 9.05

answer: $9.05

Answer:

1.28 Step-by-step explanation: got

Answer:

Add an "x" between "ninety" and "eight". Ninety x Eight = 720.

90 x 8 = 720

Answer:

21 quarters and 21 dimes

Step-by-step explanation:

21 quarters = 5 dollars and 25 cents

21 dimes = 2 dollars and 10 cents

add together and you get the total

21 quarters and 21 dimes

Answer:

1/10

Step-by-step explanation:

Answer:

1/10 has a greater value than 0.09.

Step-by-step explanation:

For 1/10: dividing the numerator by the denominator (1 ÷ 10) will give you 0.10, which is greater than 0.09.

Hope this helps :)

Answer:

Step-by-step explanation:

1. set up a ratio

2. in the table put 62:32 and 29:20

: www.calltutors.com/blog/how-to-solve-ratios/

here is the link for the rest of the steps

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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The first step is to determine the side lengths of the small box.

Side length = ∛64 = 4 in

Side lengths of the medium boxes = 4 x 2 = 8 inches

Volume of the medium box = 8³ = 256 cubic inches

The ratio of the sides of the small box to the medium box = 4 : 8 = 1:2.

The ratio of the area of the small box to the medium box= (4 x 4) : (8 x 8) =  1:4.

The ratio of the volume of the small box to the medium box = 4³ : 8³ = 1 : 8.

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Answer:

should be y= 4x + 24 let me know if it was wrong

The association between daytime temperature and nighttime temperature is a statistical association because it is based on analyzing data using statistical methods.

Specifically, the correlation coefficient is often used to quantify the strength and direction of the relationship between two variables, such as daytime and nighttime temperatures.

A positive correlation coefficient indicates a positive association, meaning that as one variable increases, the other variable also tends to increase. A negative correlation coefficient indicates a negative association, meaning that as one variable increases, the other variable tends to decrease.

However, it's important to note that statistical associations do not necessarily imply causation. In the case of daytime and nighttime temperatures, while there is a strong statistical association, this does not necessarily mean that changes in daytime temperatures cause changes in nighttime temperatures or vice versa. Other factors, such as atmospheric conditions, can also play a role in determining both daytime and nighttime temperatures.

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Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer: 32 females

Step-by-step explanation:

28 divided by 7 = 4

so, multiply 8 by 4 as well.

Answer: 32 females are at the movie

Step-by-step explanation:

8(females):7(males)

x:28

28/7= 4

x=4x8

x=32

There are 32 females

Answer:

formula: M (x1 +x2/2 , y1+y2/2 )

M(-6+0/2 , -1+1/2)

M(-6/2 , 0/2)

M=(-3,0)

Step-by-step explanation:

The midpoint of the line ST lies on the x-axis with the coordinate, (-3, 0)

A midpoint is the center of two points, It lies at the same distance from the two endpoints.

The coordinates of the endpoints of a line ST are as follows:

The coordinate of S is (-6, -1)

The coordinate of T is ( 0, 1)

The midpoint of the line ST is M

The coordinates of M is given as,

M = ( x₁ + x₂) /2 , ( y₁ + y₂) /2

x₁ = -6

x₂ = 0

y₁ = -1

y₂ = 1

The coordinates of M is,

( -6 +0) / 2 , ( -1 +1) /2

-3, 0

The coordinates of the midpoint of the line are ( -3, 0).

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Answer:

C

Step-by-step explanation:

(a) If lim (J(n))/(I(n))=0 as n approaches infinity, then the cost of the Japanese supplier's parts is negligible compared to the cost of the Italian supplier's parts as the number of parts increases.

In this case, the Italian supplier should be used to supply a large number of parts.

(b) If lim (J(n))/(I(n))=[infinity] as n approaches infinity, then the cost of the Japanese supplier's parts becomes infinitely larger than the cost of the Italian supplier's parts as the number of parts increases. In this case, the Italian supplier should still be used to supply a large number of parts.

(c) If lim (J(n))/(I(n))=5 as n approaches infinity, then the Japanese supplier charges 5 times more per part than the Italian supplier does. In this case, the Italian supplier should be used to supply a large number of parts, unless the difference in quality or reliability is significant enough to warrant the higher cost from the Japanese supplier.

(d) If lim (J(n))/(I(n))=0.2 as n approaches infinity, then the Japanese supplier charges only 20% more per part than the Italian supplier does. In this case, it may be worth considering the cost savings from using the Japanese supplier, depending on the quantity of parts needed and other factors such as quality and reliability.

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