if 2^13 is approximately equal to 8000 then of the following which best approximates 2^26

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

The time period of the animals life cycles are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

There are some animals and there ages.

Now,

Since, There are some animals and there ages are given.

Hence, The correct ages of the animals are,

⇒ Beluga whole = 35 years

⇒ Bengal tiger = 10 years

⇒ Elephant = 20 years

⇒ Giraffe = 25 years

⇒ Orangutan = 40 years

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If the data were transformed and points with the coordinates

(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.

To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.

Let's calculate the logarithms for the given data:

x     y            log(y)

1     12          log(12) = 1.079

2     83        log(83) = 1.919

3     580      log(580) = 2.763

Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)

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All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).

Given that, triangle LMIN with vertices L(2, -8), M(12, 8) and N(14,-4).

Here, scale factor k=1/2

Now, by applying scale factor to the vertices, we get

L(2, -8)→1/2 (2, -8)→L'(1, -4)

M(12, 8)→1/2 (12, 8)→M'(6, 4)

N(14,-4)→1/2 (14, -4)→N'(7, -2)

Therefore, the vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).

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"Your question is incomplete, probably the complete question/missing part is:"

Triangle LMIN with vertices L(2, -8), M(12, 8), and N(14,-4): k = ½.

Answer:

q≤=-8

Step-by-step explanation:

5 + q ≤ -3

5+(5 + q ≤ -3)

q ≤ -3-5

q ≤-8

Answer:

6

Step-by-step explanation:

Answer:

what can I help you miss

Answer: A' = (1, 5)

              B' = (-3, 5)

              C' = (-3, 2)

              D' = (1, 2)

Step-by-step explanation:

Reflecting across the y-axis provides the opposite x-value.

   Z =  (x, y)    -->    Z' = (-x, y)

A = (-1, 5)       -->     A' = (1, 5)

B = (3, 5)       -->     B' = (-3, 5)

C = (3, 2)       -->     C' = (-3, 2)

D = (-1, 2)       -->     D' = (1, 2)

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

I didn't understand your question exactly but

eight less than a number b is :

8 < b

Answer:

x-8

Step-by-step explanation:

First, you have to assign a variable = x

Eight less than a number is x-8

Eight less is -8

Then a number is a variable

Have a good day and stay safe!

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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The temperature drops by \(31\°C\) from day to night in this city.

To calculate the temperature drop from day to night in \(\°C\), we subtract the average nightly low temperature from the average daily high temperature.

Given:

Average nightly low temperature: \(-40\°C\)

Average daily high temperature: \(-9\°C\)

The temperature drop can be calculated as:

Temperature drop = Average daily high temperature - Average nightly low temperature

Substituting the given values:

Temperature drop = \(-9\°C - (-40\°C)\)

Simplifying the equation:

Temperature drop = \(-9\°C + 40\°C\)

Temperature drop = \(31\°C\)

The concept of temperature drop refers to the difference in temperature between two specific periods or conditions. In this case, we are looking at the temperature drop from day to night in a city in China known for its cold climate.

Therefore, the temperature drops by \(31\°C\) from day to night in this city.

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Answer:

1.97497

Step-by-step explanation:

Using my calculator, I just put in log(94.4).

Answer:

16 centimeter

Step-by-step explanation:

Answer:

Nine-fifteenths of a centimeter

Step-by-step explanation:

Hope this helps!!!

Answer:

C

Step-by-step explanation:

Functions meet the vertical line test:

a vertical line will intersect the graph at  most at one point

C doesn't pass the vertical line test and is therefor not a function

Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

Based on the information provided, the missing number would be number 6.

When it comes to finding missing numbers, the first step is to decipher or identify the pattern. This can be either a sequence of numbers or the application of a specific mathematical operation such as subtraction or addition.

In this case, we can see there is a sequence of numbers that seems to go from 1 to 9. However, if you check carefully, the number 6 is missing, which is the number you need to add.

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The coordinate of point R after the rotation is determined as = ( - 4, 7).

option A.

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction.

You can turn a figure 90°, a quarter turn, either clockwise or counterclockwise. When you spin the figure exactly halfway, you have rotated it 180°. Turning it all the way around rotates the figure 360°.

When a figure is rotated 180 degrees, each point of the figure is moved to a new position that is exactly opposite its original position with respect to a fixed center of rotation.

The initial coordinate of point R = ( 4, 7),

The new coordinate of point R after the rotation = ( - 4, 7)

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3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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We will need a weight of 30.1 pounds of alloy having 43% aluminium and 12.9 pounds of alloy with 63% aluminium to make a 43 pounds of alloy containing 49% aluminium.

Let The weight(in pounds ) of first alloy be x.

So, The weight(in pounds ) of second alloy will be 43-x.

Now, we can generate the typical mixture in a linear equation as

0.43(x) + 0.63 (43-x) = 0.49(43)

0.43(x) + 0.63 (43) - 0.63(x) = 0.49(43)

0.63(43) - 0.49 (43) = 0.63(x)-0.43(x)

0.43(63-49)= (0.63-0.43)x

0.43(14)=0.2x

x = 30.1 pounds

So, We can say that we will need a weight of 30.1 pounds of the alloy with 43% aluminium and 12.9 pounds of alloy with 63% aluminium.

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Answer:

C.)

Step-by-step explanation:

Answer:

50.4

Step-by-step explanation:

4.20x12

Answer:

$0.35

Step-by-step explanation:

$4.20/12 oranges = $0.35

Answer:

0.2643 = 26.43% probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors.

Step-by-step explanation:

To solve this question, we need to understand the normal distribution, the central limit theorem, and subtraction of normal variables.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction of normal variables:

When we subtract normal variables, the mean of the subtraction will be the subtraction of the means, while the standard deviation will be the square root of the sum of the variances.

In a large local high school, 19% of freshmen have had their wisdom teeth removed. Sample of 60 freshmen:

So, by the central limit theorem:

\(\mu_f = 0.19, s_f = \sqrt{\frac{0.19*0.81}{60}} = 0.0506\)

24% of seniors have had their wisdom teeth removed. Sample of 50 seniors.

So, by the central limit theorem:

\(\mu_s = 0.24, s_s = \sqrt{\frac{0.24*0.76}{50}} = 0.0604\)

What is the probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors?

This is the probability that the subtraction of the proportion of freshmen by the proportion of seniors is larger than 0. For this distribution, we have that:

\(\mu = \mu_f - \mu_s = 0.19 - 0.24 = -0.05\)

\(s = \sqrt{s_f^2 + s_s^2} = \sqrt{0.0506^2 + 0.0604^2} = 0.0788\)

This probability is 1 subtracted by the pvalue of Z when X = 0. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0 - (-0.05)}{0.0788}\)

\(Z = 0.63\)

\(Z = 0.63\) has a pvalue of 0.7357

1 - 0.7357 = 0.2643

0.2643 = 26.43% probability that the proportion of freshmen who have had their wisdom teeth removed is greater than the proportion of seniors.

Answer

I got 0.263 and was correct.

Step-by-step explanation:

Edge 2022

The product of 7 and ⁵/₈ is less than 7 because ⁵/₈ is less than 1

We want to find the product of 7 and ⁵/₈.

Now, this will be expressed as;

7 * ⁵/₈.

Now, we are multiplying a whole number by a proper fraction that is less than 1 and as such, it means that the product will be lesser than 7 simply because ⁵/₈ is less than 1.

Thus;

7 * ⁵/₈ = 35/8

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The journal entries to record (a) the payroll and (b) the employer's payroll tax expense for the month are as follows:

a) The payroll:

Debit Sales salaries $125,000

Debit Office salaries 35,000

Credit:

 Federal income tax withholding payable 32,300

 Medical insurance withholding payable 7,370

 Social security tax withholding payable 10,200

 Medicare tax withholding payable 2,550

 Cash $107,580

b) The employer's payroll tax expense:

Debit Payroll Tax Expense $975

Credit:

 Federal Unemployment Tax Payable $200

 State Unemployment Tax Payable $775

SUTA = 3.1% of $25,000 = $775

FUTA = 0.8% of $25,000 = $200

Sales salaries $125,000

Federal income tax withheld 32,300

Office salaries 35,000

Medical insurance withheld 7,370

Social security tax withheld 10,200

Medicare tax withheld 2,550

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Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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The statistical analysis is created using the chi-squared test. The significance level used is 5% because of the probability to reject the null hypothesis. The given data indicate that there are significant preferences among the four flavors of ice cream.

When the sample sizes are big, the statistical hypothesis test known as the chi-squared test is utilized in the study of contingency tables. This test is primarily used to determine whether two categorical factors have independent effects on the test statistic. We shall use a significance level of α=0.05 in this case.

First, determine the null and alternative hypotheses.

Null hypothesis H₀: There is no preference in choosing ice cream flavors.

Alternate hypothesis H₁: There is a preference in choosing ice cream flavors.

The probability of choosing a particular flavor of ice cream is 1/4. Then, the Ei= (1/4)×80= 20.

Now construct the chi-square table. And find the chi-square value,

\(\begin{aligned}\chi^2&=\sum\frac{(O_i-E_i)^2}{E_i}\\&=3.2+0.2+3.2+0.2\\&=6.8\end{aligned}\)

Find the degree of freedom (df).

df = n-1 = 4-1 = 3.

From the chi-square table, using the chi-square value and df, we get the p-value,

P(χ²＞6.8)= 0.0786

Here, the p-value is greater than 0.05. As a result, the alternative hypothesis is accepted and the null hypothesis is rejected. From this, we can tell that there is a significant preference in choosing the flavors.

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