Select <,>, or = from the drop-down box to compare the two fractions 4/5 and 2/6

You worked for 8 hours.

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, You are getting paid $50 per hour and at the end of the day, you earned $400.

Unit rate for working an hour = $50

We will calculate the number of hours of work by dividing total earning by its unit rates.

= 400 / 50

= 8

Hence, You worked for 8 hours.

Learn more about unit rates, click;

https://brainly.com/question/29781084

#SPJ1

The expression after simplification is -6x¹¹.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is (-4x²) (3x⁵) / (2x⁻⁴).

We have the rule for exponents,

xᵃ . xᵇ = xᵃ⁺ᵇ

xᵃ / xᵇ = xᵃ⁻ᵇ

(-4x²) (3x⁵) = (-4 × 3) x²⁺⁵ = -12x⁷

-12x⁷ / 2x⁻⁴ = (-12 / 2) x⁷⁻⁻⁴

                   = -6x¹¹

Hence the simplification of the expression (-4x²) (3x⁵) / (2x⁻⁴) is -6x¹¹.

Learn more about Expressions here :

https://brainly.com/question/28172855

#SPJ1

petroleum formation happens When dinosaurs became extinct 65 million years ago, their bodies decayed to become petroleum.

Dead creatures are broken down into their basic chemicals through the process of decomposition by bacteria and fungus. The cycle can be completed by plants absorbing and using these substances once again. Because of how they decompose dead organic stuff, decomposing bacteria and fungus are referred to be saprophytic.

Oil and gas are created from organic material that has been decomposed and altered over millions of years, mostly as sediments on the seafloor.

Fuels known as petroleum products are created from crude oil and the hydrocarbons found in natural gas. Coal, natural gas, and biomass can also be used to make petroleum products.

Plant and animal remains are used to create petroleum. Animals and plants that pass away sink and land on the seafloor. These extinct animals and plants decayed millions of years ago and mingled with sand and silt.

Therefore, we can say Petroleum is produced. Dinosaurs became extinct 65 million years ago, and when their corpses decomposed, petroleum was created. Petroleum doesn't form until hundreds of millions of years. Oil was created in chilly climates.

Learn more about decomposition here:

https://brainly.com/question/8009068

#SPJ1

Use the data to create a stemplot.

Twenty-four workers were surveyed about how long it takes them to travel to work each day. The data below are given in minutes.

20 35 42 52 65 20 60 49 24 37 23 24

22 20 41 25 28 27 50 47 58 30 32 48

The data in a stem-and-leaf plot:

3/0257

2/0002344578

4/12789

5/028

6/05

Another presentation that is similar to a histogram is a stemplot. In statistics, a stemplot is a tool for presenting quantitative data in a graphical format, similar to a histogram, namely to assist in visualizing the shape of the data distribution which is often used in exploratory analysis. Stemplots were introduced by Arthur Bowley in the early 1900's. However, its general use only began in 1980 after John Tukey's published Exploratory Data Analysis in 1977.

Stem-and-leaf plots provide more information about true values than histograms. As in a histogram, the length of each bar corresponds to the number of events that fall into a given interval. On Histograms. we can only see the frequency value of the data but we don't know what the actual number value is. In contrast to the histogram, in SLP besides we can know the frequency value, we can also know what the actual data value is. This is done by dividing the observed values into two components, stem and leaf.

Learn more about stemplot at

https://brainly.com/question/29433270.

#SPJ4

The differential equation that best models the growth rate of the rabbit population with respect to time t, where k is a constant is option D) [tex]\frac{dP}{dT}=KP(2400-P)[/tex].

A differential equation is an equation that relates a function and its derivatives to some independent variables. The solution to a differential equation is a function that satisfies the equation and is often used to model physical processes.

Differential equations come in many forms, including ordinary differential equations (ODEs) and partial differential equations (PDEs).

For the population in function of the time, is:

[tex]\frac{dP}{dT}[/tex]

The population P of rabbits on a small island grows at a rate that is jointly proportional to the size of the rabbit population and the difference between the rabbit population and the carrying capacity of the population

Carrying capacity is 2400.

This means that the differential equation is kP(size of the population multiplied by the constant) multiplied by 2400 - P(difference between the population and the carrying capacity).

=> [tex]\frac{dP}{dT}=KP(2400-P)[/tex]

Therefore, The differential equation that best models the growth rate of the rabbit population with respect to time t, where k is a constant is option D) [tex]\frac{dP}{dT}=KP(2400-P)[/tex].

To know more about differential equations refer to:

brainly.com/question/14620493

#SPJ4

The investment amount at each is $2000 at 7% interest and the $4000 remainder at 8%.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

A total of $6000 was invested,

part of it at 7% interest and the remainder at 8%.

The total yearly interest amounted to $460.

That means,

we have the system of equations,

x + y = 6000    {equation 1}

0.07x + 0.08y = 460    {equation  2}

Substituting the value of y to the equation 2,

0.07x + 0.08(6000-x) = 460

480 - 0.01x = 460

-0.01x = 460 -480

0.01x = 20

x = 2000

And y = 4000

Therefore, 2000 in 1st account and 4000 in 2nd account.

To learn more about the system of equation;

brainly.com/question/13729904

#SPJ1

Answer: c

Step-by-step explanation:

Answer:

Step-by-step explanation:

its $89,372 i did the math took the test

The graph of function f is stretched vertically by a scale factor of 3 to create the graph of function g.

The graph of a function is a visual representation of the function's mathematical relationship between inputs and outputs. When a function is said to be "stretched", this means that the graph is being transformed in some way. In this case, the graph of function f is being stretched vertically by a factor of 3 to create the graph of function g. This means that the vertical distance between each point on the graph of function f will be 3 times as great on the graph of function g. For example, if the graph of function f has a point (1,2) then the corresponding point on the graph of function g would be (1, 6). This transformation will change the shape of the graph and the values of the inputs and outputs of the function. The graph of the transformed function g will be wider, taller, and have different values for the inputs and outputs.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

Answer:4

Step-by-step explanation:

1 3/5 = 8/5
8/5 / 2/5 = 4

The predicted value of y when I = 5 is equal to D) 30.

To determine the predicted value of y when I = 5, we can use the equation of the simple linear regression model:

y = b0 + b1x

where b0 and b1 are the regression coefficients and x is the predictor variable.

We can find b1 using the formula:

b1 = r(Sy/Sx)

where r is the sample correlation coefficient, Sy is the standard deviation of the y variable, and Sx is the standard deviation of the x variable.

Plugging in the given values:

b1 = -0.98(8/2) = -4

We can find b0 using the formula:

b0 = ybar - b1*xbar

where ybar and xbar are the mean of the y variable and the x variable respectively.

Plugging in the given values:

b0 = 10 - (-4)*10 = 50

Therefore, the equation of the simple linear regression model is:

y = 50 - 4x

So when I = 5, the predicted value of y is:

y = 50 - 4(5) = 50 - 20 = 30

The closest answer choice is D. 30.

For more questions like Regression model click the link below:

https://brainly.com/question/14983410

#SPJ4

The scale factor needed to form ΔA'B'C' from ΔABC is 1/2 or 0.5.

What is scale factor?

The scale factor of a shape refers to the amount by which it is increased or shrunk. It is applied when a 2D shape, such as a circle, triangle, square, or rectangle, needs to be made larger.

The coordinate points of triangle ABC is -

A(2,6), B(2,2), and C(6,2)

The coordinate points of triangle A'B'C' is -

A'(1,3), B'(1,1), and C'(3,1)

Subtract the coordinate points of A'B'C' from ABC to find the scale factor -

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

B = (2 - 1, 2 - 1) = (1,1)

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

So, it can be seen that to form triangle ABC, the triangle A'B'C' is multiplied by the factor of 2.

A(2,6) = (x/2 , y/2) = A'(1,3)

B(2,2) = (x/2 , y/2) = B'(1,1)

C(6,2) = (x/2 , y/2) = C'(3,1)

Therefore, the scale factor is 1/2 or 0.5.

To learn more about scale factor from the given link

https://brainly.com/question/28339205

#SPJ1

The constants a and b can be found by ensuring the function is continuous and that the limits at each point match. This can be done by setting the values of a and b so that the function and its derivative are equal at each point.

To find the constants a and b for the given piece-wise cubic function, we must consider the definition of continuity and limits. Firstly, for the function to be continuous, the function and its derivative must be equal at each point. Thus, we need to set the values of a and b so that the function and its derivative are equal at the points x=1, x=2 and x=3. We can use this to create a system of equations to solve for a and b. Once we have determined the values of a and b, we can then check that the limits at each point match. This can be done by computing the left and right hand limits at each point, and ensuring they are equal. If the limits are equal, then the function is continuous and the constants a and b are correct.

Learn more about equal here

https://brainly.com/question/143202

#SPJ4

The space taken up by the table is 24 feet².

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Kitchen table = 6 feet by 4 feet

This means,

The table is a rectangle.

The area of the table.

= 6 x 4

= 24 feet²

Thus,

The area of the rectangle is 24 feet².

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ1

Answer:

14

Step-by-step explanation:

I don't know it right now

As per the given standard deviation, the interval in which she can be 68% sure that the sample mean will lie is 98.75 ± 10.45/ √60

In math the term called standard deviation is defined as a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Here we have given that the population mean is $98.75 with a standard deviation of $10.45 and the a sample size of 60.

Now, here we need to find the equation that Susan can use to find the interval in which she can be 68% sure that the sample mean will lie.

Here the distribution of the sample mean is approximately normal distribution with mean $98.75 and standard deviation approximately written as 10.45/√60

Here we have Symbolically written as,

=> X~ N(98.75, 10.45/√60) 2

Here by using empirical rule, then we find the limits for sample mean for which we're 68% sure that the sample mean will lie in that interval as one standard deviation away from its mean, then it can be written as

=> P (98.75 -10.45/√60 < x <98.75 +10.45/√60) ≈ 68%

Hence the equation is written as

=>98.75 ± 10.45/ √60

To know more about Standard deviation here.

https://brainly.com/question/16555520

#SPJ4

Answer:

the probability of randomly selecting the chair and the vice chair is 10%.

Step-by-step explanation:

There are a total of 5 members on the health services committee, and 2 of them will be chosen to serve as the chair and vice chair, respectively.

The probability of randomly selecting the chair out of the 5 members is 2/5, or 40%.

Once the chair is selected, there are 4 members remaining, and only one of them can serve as the vice chair. Therefore, the probability of randomly selecting the vice chair out of the remaining 4 members is 1/4, or 25%.

To find the probability of randomly selecting the chair and the vice chair, we need to multiply the individual probabilities of selecting each position, which is (2/5) * (1/4) = 2/20 = 1/10 = 10%.

So, the probability of randomly selecting the chair and the vice chair is 10%.

Answer:  To find the surface area of the figure, we need to add up the areas of all the individual faces. The triangular prism has three rectangular faces and three triangular faces, and the rectangular prism has six rectangular faces.

The triangular prism:

The area of one of the rectangular faces is (x * z)/2 = (5 * 8.75)/2 = 21.875 inches^2

The area of one of the triangular faces is (x * W)/2 = (5 * 6.2)/2 = 15.5 inches^2

The rectangular prism:

The area of one of the rectangular faces is x * y = 5 * 20 = 100 inches^2

So, the total surface area of the figure is

(3 * 21.875) + (3 * 15.5) + (6 * 100) = 65.625 + 46.5 + 600 = 712.125 inches^2

So the surface area of the figure is 712.125 inches^2

Step-by-step explanation:

In general, the maximum order of the spectrum that can be observed with a diffraction grating is limited by the grating equation.

This equation states that mλ = d(sinθi - sinθr), where m is the order of the diffraction, λ is the wavelength of light, d is the spacing between the grating lines, θi is the angle of incidence, and θr is the angle of diffraction. Since d is fixed and θi is typically kept constant, the maximum order of the spectrum that can be observed is limited by the angle of diffraction (θr). This angle can be calculated using the equation θr = sin-1[(mλ/d)+sinθi]. Thus, the maximum order of the spectrum is limited by the value of θr, which is determined by the wavelength of light and the spacing between the grating lines.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ4

Answer:

3/4

Step-by-step explanation:

since they are similar, they have the exact same angles.

angle Q = angle X

tan(angle) = sin(angle)/cos(angle)

that is the same ratio here as

9/12 = 3/4

Note that:

There are three separate planes and three different lines in the diagram. Line X crosses two of the planes, whereas Line Z intersects just one of the planes, and Line Y has points on all three planes.

Line y has points A and B in each of the three planes.

A plane is a flat surface that can be sliced across by a straight line connecting any two locations on the plane.

As a result of the diagram, we may deduce that

Learn more about Planes:
https://brainly.com/question/1962726
#SPJ1

Answer:

[tex]m=-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\Delta y=-1,\,\Delta x=2\\\rightarrow \frac{\Delta y}{\Delta x}=\frac{-1}{2}=-\frac{1}{2}[/tex]

[tex]\Delta[/tex] represents change in both variables, so we calculate the slope this way.

Answer:

m=-1/2

Step-by-step explanation:

Use slope formula: [tex]m=\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

Answer: To determine the order of the temperature of the mixtures from least to greatest, we need to compare the values of the temperatures in their simplified fractional forms.

-33.625℉ = -33 5/8℉

-33 5/6℉ = -33 5/6℉

-33 6/25℉ = -33 24/100℉

We can compare the fractions by comparing the numerators, if they are the same we can compare the denominators.

So, the order from least to greatest temperature of the mixtures is:

-33 6/25℉ < -33 5/6℉ < -33 5/8℉

It's important to notice that these temperatures are negative.

Step-by-step explanation:

Answer:

50h(5h - 2)

Step-by-step explanation:

Open up all the parenthesis on each answer

only the first one is correct

Answer:

50h(5h-2)

Step-by-step explanation:

Solution given

250h² - 100h

50*5*h*h-50*2*h

taking common

50*h(5*h-2)

50h(5h-2)

here taking common and keeping remaining on bracket

50h(5h-2)

The expression [tex](\sqrt[3]{x^4})^5[/tex] with a rational exponent is given as follows:

x^(20/3).

The general format of the exponential expression is given as follows:

[tex]a^{\frac{n}{m}}[/tex]

To obtain the radical form, we have that:

Hence the equivalent expression is given as follows:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

The parameters for this problem are given as follows:

m = 3, n = 4, a = x.

Hence the equivalent expression is given as follows:

(x^(4/3))^5.

Applying the power of power rule, we multiply the exponents, hence the equivalent expression is of:

x^(20/3).

More can be learned about the radical form of expressions at brainly.com/question/28519153

#SPJ1

The height of the tree is 39 ft from the ground.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

Let us suppose the height of the tree = l

The distance from the point on the ground to the top of the tree is thus:

h = 11 + 2(l)

Given that the base = 80 ft.

To find the height of the tree we can use the Pythagorean theorem.

The Pythagorean theorem is given as follows:

a^2 + b^2 = c^2

(80)^2 + (l)^2 = (11 + 2l)^2

Using the identity (a + b) ^2 = a^2 + 2ab + b^2 we can write the equation as:

6400 + l^2 = 121 + 44l + 4l^2

Take all the terms on a single side of the equation:

4l^2 - l^2 + 44l + 121 - 6400= 0

3l^2 + 44l - 6279 = 0

Solve the following quadratic equation using the equation of the quadratic function:

l = 39

Hence, the height of the tree is 39 feet.

Learn more about Pythagorean Theorem here:

https://brainly.com/question/21926466

#SPJ1

Answer:

102

Step-by-step explanation:

523 said they prefer chicken,

295 said they prefer pasta,

and 126 said they prefer salad.

523-295-126 =102

The constant of proportionality is equal to 6.

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

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the relationship between correct answers and points on this graph as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 30/5 = 72/12 = 108/18 = 120/20

Constant of proportionality, k = 6

Read more on proportional relationship here: brainly.com/question/28350476

#SPJ1

Answer:

6

Step-by-step explanation:

120/20 = 6

108/18 = 6

72/12 = 6

30/5 = 6

See the pattern? :)

The property if VW+WY=ZY, and VW + WY=XZ, then XZ=ZY is referred to as a transitive property.

This states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”.

A good example of its application can be seen here which is if x = y, and y = 7, then x must equal 7 which when observed in what was given above corresponds with this type of property and is therefore the reason why it was chosen as the correct choice.

Read more about Transitive property here https://brainly.com/question/29792714

#SPJ1