Show the problem worked- If it takes 2 people 60 hours to build a fence, how long will it take 3 people to do the same job?

omg what is the......................

Answer:

The second one, third one and the fifth one should be correct. (7 to the 18th power divided 7 to the 9th power, 7 to the 3rd power to the 3rd power, and 7 to the 4th power times 7 to the 5th power)

Step-by-step explanation:

7 to the 8th power times 7 equal 40353607 so if you do all the equations shown you can rule out which ones equal 40353607 and which ones don't. Have a nice sleep!

Answer:

\(\frac{7^{18}}{7^{9}}\), (7³)³ and \(7^{4}*7^{5}\)

Step-by-step explanation:

\(7^{8}*7\)  = \(7^{9}\) is equivalent to the following exponential expressions:

\(\frac{7^{18}}{7^{9}}\), as it applies to the Quotient Rule of Exponents: \(\frac{a^{m}}{a^{n}} = a^{m-n}\). Therefore, you're essentially subtracting the exponents, resulting into \(7^{9}\).

(7³)³: The Power-to-Power Rule of Exponents apply in this situation:\((a^{m})^{n} = a^{mn}\). Multiplying the exponent inside the parenthesis by the exponent outside the parenthesis results in an exponent of 9.

\(7^{4}*7^{5}\): the Product Rule of Exponents apply in this situation: \(a^{m}*a^{n} = a^{m+n}\). Adding the exponents of 4 to 5 results in an exponent of 9.  

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Answer:

T = 50 + 30w

Step-by-step explanation:

Hope this helps :)

Answer:

T = 40 + 20w

Step-by-step explanation:

The initial amount is 50 and the rate per week is 30.

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

\(\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y\)

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

\(1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm\)

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

Answer:

-5x

Step-by-step explanation:

if f(4) = -5x+ 10 then f(x) + f(4) is;

-5x+10-10 = -5x

Answer: 210 tickets

Explanation:

1. Multiply the number of tickets he sold on Monday (21) by 3. (21x3=63)

2. Multiply the number of tickets he sold on Tuesday (63) by 2. (63x2=126)

3. Add all of those together to get the answer. (21+63+126=210)

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

I don't clearly understand your question pls can you rearrange it to a simpler form

Answer:

yo I'm looking for the same answer I need it ASAP before Friday

Answer:

9:24 am

Step-by-step explanation:

89 bus = 8 minutes

368 bus = 12 minutes

Find the lowest common multiple(L.C.M) of 8 minutes and 12 minutes

8 minutes = 16, 24, 32, 40, 48

12 minutes = 24, 36, 48, 60

The L.C.M of 8 minutes and 12 minutes is 24 minutes

Both buses are at the same stop at 9 am.

The next time both buses will be at the same stand = 9 am + 24 minutes

= 9:24 am

Answer:

Step-by-step explanation:

The formula for this is:

V = (1/2) x b x h x l

b= base

h=height

l=length

V= (1/2) x 4.2 x 2.8 x 8

so...I think the volume could be 47.04m^3?

PRO TIP: If you want to solve anything with volume, just write down every single formula they have for volume or area. It is good to memorize formulas like that.

The volume of the triangular prism with a height of 2.8, width of 4.2, and a length of 8 is 46.96 cubic unit.

The base area of the triangular cross-section must be multiplied by the prism's height to determine its volume. The triangle cross-section in this instance has a base of 4.2 and a height of 8.

The following is the formula to determine a triangle's area:

(Base * Height) / 2 = Area

When the values are plugged in, we get:

Base = 4.2

Size = 8

Area = (4.2 * 8) / 2 = 33.6 / 2 = 16.8

Next, increase the prism's base area by its height:

Volume = Base Area * Height = 16.8*2.8 = 46.96

The triangular prism therefore has a 46.96 cubic unit volume.

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The total number of ounces of hydrogen peroxide, rounded to up to 1 significant digit after the decimal point, is 10.5 ounces.

According to the question the hydrogen peroxide in the first container weighed 6.4 ounces, and the hydrogen peroxide in the second container weighed 4.07 ounces.

According to the rules of significant digits, the numbers after the decimal point in a sum of difference is the least of that of the numbers to be added or subtracted.

This means that when 6.4 and 4.07 is added, then we will see numbers of decimal places in each number. 6.4 has 1 number after decimal point and 10.47 has 2.

Hence the result of 6.4 + 10.47 will have a minimum of 2 which is 1 decimal place.

Now, 6.4 + 4.07

= 10.47

Rounding it off from the above-mentioned criteria gives us 10.5 ounces.

Therefore, the total number of ounces of hydrogen peroxide, rounded to up to 1 significant digit after the decimal point, is 10.5 ounces.

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The given equation, 16x² - y² + 16z² = 4, represents a quadric surface known as an elliptic paraboloid.

To determine the classification, we can examine the coefficients of the squared terms. In this case, the coefficients of x², y², and z² are positive, indicating that the surface is bowl-shaped. Additionally, the signs of the coefficients are the same for x² and z², indicating that the bowl opens upward along the x and z directions.

The negative coefficient of y², on the other hand, means that the surface opens downward along the y direction. This creates a cross-section in the shape of an elliptical parabola.

Considering these characteristics, the given equation represents an elliptic paraboloid.

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Answer:

8 and 5.

Step-by-step explanation:

x - y = 3

x + y= 13

by elimination method ,we get

2x = 16

x = 16/2

x = 8

8 + y = 13

y = 13 - 8

y = 5

x = 8 ,y = 5

Answer:

8 and 5

Step-by-step explanation:

The sum of the perimeters of all squares is 80 ft.

What is perimeter?

Perimeter is the distance around the outer boundary of a two-dimensional shape, such as a rectangle, square, triangle, or circle. It is the total length of all the sides of the shape.

Starting with a square with a perimeter of 40 ft, we can find the length of one side by dividing the perimeter by 4:

\(\frac{40ft}{4} = 10ft\)

So, the original square has a side length of 10 ft.

Connecting the midpoints of the sides of this square creates a new square with half the side length of the original square. Each side of this new square is the hypotenuse of a right triangle with legs equal to half the side length of the original square (i.e., 5 ft).

Using the Pythagorean theorem, we can find the length of each side of the new square:

\(s^2 = (5 ft)^2 + (5 ft)^2\)

\(s^2 = 50 ft^2\)

\(s = \sqrt{50}ft\)

So, the second square has a side length of \(\sqrt{50}ft\), which is approximately 7.07 ft.

Continuing this process, each subsequent square will have half the side length of the previous square. Therefore, the side length of the third square will be half the side length of the second square, which is:

\(\frac{1}{2}\) * \(\sqrt{50}ft\) = \(\sqrt{25}ft\) = 5 ft.

The side length of the fourth square will be half the side length of the third square, which is: \(\frac{1}{2}\) * 5 ft = 2.5 ft. And so on.

The perimeters of the squares are:

The perimeter of the first square is 40 ft.

The perimeter of the second square is 4 * \(\sqrt{50}ft\), which is approximately 28.28 ft.

The perimeter of the third square is 4 * 5 ft = 20 ft.

The perimeter of the fourth square is 4 * 2.5 ft = 10 ft.

We can see that the perimeter of each subsequent square is half the perimeter of the previous square. So, the series for the perimeters of the squares is a geometric series with a first term of 40 ft and a common ratio of 1/2.

Using the formula for the sum of an infinite geometric series, we can find the sum of the perimeters of all squares:

S = a / (1 - r)

where a is the first term (40 ft) and r is the common ratio (1/2). Plugging in these values, we get:

S = 40 ft / (1 - 1/2)

S = 80 ft

Therefore, the sum of the perimeters of all squares is 80 ft.

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The mathematical model that best fits the given data is option : y = 82.3 - 8.275x.

To construct a scatterplot and determine the mathematical model that best fits the given data, we will plot the points and analyze the trend.

Given Data:

x: 4, 8, 12, 16, 20

y: 40, 20, -11, -37, -97

Let's plot these points on a scatterplot:

(x, y) points:

(4, 40)

(8, 20)

(12, -11)

(16, -37)

(20, -97)

After plotting the points, we can analyze the trend in the data.

By observing the scatterplot, it is clear that a linear or quadratic model would not fit the data well since the points do not follow a straight line or a parabolic curve.

Next, we can try the logarithmic, exponential, and power models to see if any of them fit the data better.

Using a calculator or computer to perform the regression analysis, we find that the regression equation with the highest R² value is:

y = 82.3 - 8.275x

This equation corresponds to option : y = 82.3 - 8.275x

The regression equation represents a linear model that best fits the given data. The R² value indicates how well the model explains the variability in the data, and in this case, the linear model provides the highest R² value compared to the other models.

It's important to note that the specific values of the coefficients in the regression equation may vary slightly depending on the calculator or software used for the analysis. However, the overall best-fit model remains the same.

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Answer:

It's 11.72

Step-by-step explanation:

Area=)1/2×15/4×25/4

Answer》11.72

Hope it helps...

Have a great day

Answer:

i have made it in above picture

We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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Answer:

no solutions

Step-by-step explanation:

6(x+1)=-2(3x+9)

distribute both sides first then you get:

6x+6=6x+18

then subtract 6x from 6x and 6 from 18.

0=12

therefore there are no solutions

There are infinite numbers that are equivalent to 6.3.

Real numbers are those numbers that are either rational or irrational. Therefore, real numbers include both ration and irrational numbers.

The given number 6.3 can be rewritten in the form of a fraction as,

6.3 / 1

Multiply both the numerator and the denominator by a,

= 6.3a / a

In the above-formed fraction, the value of a can be any real number, because at the end a in the numerator will be cancelled by the a in the denominator. For instance let's take the value of a as 2, 10 and 1000.

When a=2,

(6.3×2) / (1 × 2) = 12.6/2

When a=10,

(6.3×10) / (1 × 10) = 63 / 10

When a=1000,

(6.3×1000) / (1 × 1000) = 6300 / 1000

Further, as a can be any real number, therefore, there are infinite numbers that are equivalent to 6.3.

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Infinitely many solutions exist for a system with fewer equations than unknowns, yet there may be none. An underdetermined system is one that operates in this manner.

What in mathematics is a linear system?

A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.

                          Equations with unknowns or variables that have powers of one are known as linear equations. Because the variables x, y, and z are linear, for instance, 3x - 4y + 5z = 3 is a linear equation, however xy + 3z = 7 is not because the phrase xy is a product of two variables.

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Answer:

b = 33 millimeters.

Step-by-step explanation:

In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b). So, using a=56 and c=65, we can find b by solving the equation: 56^2 + b^2 = 65^2. This gives b = sqrt(1089) = 33 millimeters :)

Answer:

7%

Step-by-step explanation:

1 yr interest

2576 ÷ 4 = 644

1 yr interest rate

644 ÷ 9200 = 7

check

7% x 9200 x 4yrs = 2576

Answer:

1200 ounces

Step-by-step explanation:

How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?

Let us represent

Number of ounce of 10% copper = x

Hence, our Equation =

x × 10% + 600 × 70% = (x + 600) × 30%

0.1x + 420 = (x + 600)0.3

0.1x + 420 = 0.3x + 180

Collect like terms

0.3x - 0.1x = 420 - 180

0.2x = 240

x = 240/0.2

x = 1200 ounces

Answer:

90 \(cm^{2}\)

Step-by-step explanation:

It's a parallelogram

So area of a parallelogram = base x height

A = 9 x 10

A = 90

Hope that helps!

Answer:

90

Step-by-step explanation:

Since this is a parallelogram, it's just A = BH, which they already give you both, the base and the height.

Base : 10

Height : 9

10x9=90

Answer:

12 pizzas

Step-by-step explanation:

8x3=24 so if she uses 8 ounces a pizza you multiply 3 (as in the 8 ounces of cheese in a bag) So multiply 3x4 to get 12

For the equation x^3 + 27y^4 = In  y' at (-3, 1) is -27/107 by using implicit differentiation y' = 3x^2 / (y - 108y^3).

To find y' using implicit differentiation and then evaluate y' at (-3,1) for the given equation x^3 + 27y^4 = ln(y), follow these steps:

1. Differentiate both sides of the equation with respect to x, remembering to apply the chain rule when differentiating with respect to y.

d/dx(x^3) + d/dx(27y^4) = d/dx(ln(y))

2. Apply the chain rule on the right-hand side:

3x^2 + 27(4y^3)(dy/dx) = (1/y)(dy/dx)

3. Solve for dy/dx (which is y'):

dy/dx(y - 108y^3) = 3x^2

y' = dy/dx = 3x^2 / (y - 108y^3)

4. Evaluate y' at (-3, 1):

y'(-3, 1) = 3(-3)^2 / (1 - 108(1)^3)

y'(-3, 1) = 27 / (-107)

So, y' = 3x^2 / (y - 108y^3), and y'(-3, 1) = -27/107.

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The marginal utility per dollar spent on the fifth apple is 60. The correct option is D.

The marginal utility simply refers to the change or extra satisfaction derived from the change in consumption.

Hence, the marginal utility of the fifth apple equals :

Difference /change or extra satisfaction derived by consuming one more than 4 apples = (total utility of 5th apple - total utility of 4th apple)

= (250 - 220) = 30

Hence, marginal utility per dollar: Marginal utility/price per apple

Price per apple = $0.5

Marginal utility of 5th apple = 30

Marginal utility of 5th apple = 30 / 0.5

Marginal utility of 5th apple = 60

Therefore, the marginal utility per dollar spent on the fifth apple is 60. The correct option is D.

Complete question :

If the price of an apple is $0.50, the marginal utility per dollar spent for the fifth apple is:

a) 20

b) 30

c) 40

d) 60

Number of apples ____total utility

2__________________130

3__________________180

4__________________220

5__________________250

6__________________270

7__________________280

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Answer:

Answer:

480

Step-by-step explanation:

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