What is 8/9 - (2/3) cubed by 2?
PLEASE HELP ME

EXPLANATION

If the last term of a trinomial is negative, then we know that the factors are of different sign, and if the last term is positive then the factors have the same sign.

Answer: 5/8

Step-by-step explanation:

Answer: 1.18 possibilities 2. 36 possibilities

Step-by-step explanation:

1. 1o, 1g, 1h, 2o, 2g, 2h, 3o, 3g, 3h, 4o, 4g, 4h, 5o, 5g, 5h, 6o, 6g, 6h

2. hw1 hw2 hw3 hw4 hw5 hw6, hg1 hg2 hg3 hg4 hg5 hg6, tw1 tw2 tw3 tw4 tw5 tw6, tg1 tg2 tg3 tg4 tg5 tg6, cw1 cw2 cw3 cw4 cw5 cw6, cg1 cg2 cg3 cg4 cg5 cg6

Answer:

I need a picture and more information to help :)

Step-by-step explanation:

The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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the solution to the equation log3 x=4 is x = 81.The equation "log3 x=4" is a logarithmic equation with a base of 3.

It means that 3 raised to the power of 4 is equal to x. In other words, x is the value that satisfies the equation 3^4 = x.

To solve this equation, we need to isolate the variable x. We can do this by taking the exponential of both sides of the equation with a base of 3. This will cancel out the logarithm on the left side of the equation, leaving us with:

3^(log3 x) = 3^4

The base of the exponential function and the logarithmic function cancel each other out, and we're left with:

x = 81

Therefore, the solution to the equation log3 x=4 is x = 81.

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Answer:

F: 6x+4y=20

Step-by-step explanation:

Only line representing the equation 6x+4y=20 has y-intercept of 5.

The line that has the y-intercept = 5 is 6x + 4y = 20

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

The standard slope intercept form:

y = mx + b

Comparing the options A,C,D and E with standard form and none of the options have b = 5.

So these options are out.

Now the options B,

Simplify, y = x/2 - 5

Compare with slope intercept form, and this equation also does not have

the y intercept as 5.

Now option F;

simplify, 6x + 4y = 20

y = -3x/2 + 5

Comparing with standard form,

And b= 5

Therefore, The line that has the y-intercept = 5 is 6x + 4y = 20

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Answer:

The answer is "\(cirtical\ points \ (x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})\)"

Step-by-step explanation:

Given:

\(g(x) = (x-e)^3e^{-(x-e)}\)

Find critical points:

\(g(x) = (x-e)^3e^{(e-x)}\)

differentiate the value with respect of x:

\(\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r} \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3]\)

critical points \(g'(x)=0\)

\(\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3\)

So,

The critical points of \((x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})\)

2kilometers........3 minutes

xkilometers..........2 minutes

x=2*2/3=4/3=1.33km

Answer:

1.3 kilometers

Step-by-step explanation:

The first ratio of minutes to kilometers is 3:2

The second ratio of minutes to kilometers is 2:x

x is what you are trying to find (how far the kangaroo travels in 2 minutes)

Solve for x:

Change the ratios into fractions:

Cross multiply:

3x = 4

x = 4/3 = 1.33333333333…

and if you round that to the nearest tenth, you get 1.3.

Hope this helped!

If 100 sixth grade students prefer hip hop music, the number of sixth graders at the school is 250.

Percentage is a measure of frequency that is used to express a number as as a fraction of 100. In order to change a value to percentage, multiply the number by 100. The sign that represents percentage is %.

In order to determine the number of sixth graders, divide the number of sixth graders that prefer hip hop music by the percentage.

Number of sixth graders = number that prefer hip hop / percentage

100 / 40%

100 / 0.4 = 250

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The value of the car in 9 years after it depreciates at an average rate of 13.4% per year is $7507.422.

The value of a fixed asset less the total cumulative depreciation that has been recorded against it is its depreciated cost. The total amount of capital that is "used up" in a certain time frame, such as a fiscal year, is referred to as the depreciated cost in a broader economic sense. The accuracy with which depreciation is calculated allows one to assess patterns in a company's capital expenditures and how aggressive its accounting practices are.

The terms "salvage value," "net book value," and "adjusted cost base" are all synonyms for "depreciated cost."

Given that, the car costs $27,405. It is expected to depreciate at an average rate of 13.4% per year.

The equation for the depreciation can be set as follows:

A = P (1 - D)ⁿ

where, A is the value of depreciation after n years.

P is the initial value, and D is the depreciation.

Substituting the values we have:

A = 27405 (1 - 13.4/100)⁹

A = 27405 (0.273)

A = 7507.422

Hence, the value of the car in 9 years after it depreciates at an average rate of 13.4% per year is $7507.422.

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To find the value of V*(s'), The Bellman equation relates the Q*(s, a) values to the state-value function V*(s) by taking the maximum Q-value over all possible actions. Given the Q*(s, a) values and the transition information:

V*(s') = max(Q*(s', a)) for all actions a

In this case, the Q* values for state s are:

Q*(s, \(a_{1}\)) = 10

Q*(s, \(a_{2}\)) = -1

Q*(s, \(a_3}\)) = 0

Q*(s, \(a_{4}\)) = 11

Since s' can be reached from s by taking action a1, we consider the Q* values for state s' and select the maximum value:

V*(s') = max(Q*(s', \(a_{1}\)), Q*(s', \(a_{2}\)), Q*(s', \(a_{3}\)), Q*(s',\(a_{4}\) )

Substituting the given Q* values for s', we have:

V*(s') = max(Q*(s', \(a_{1}\)), Q*(s', \(a_{2}\)), Q*(s', \(a_{3}\)), Q*(s', \(a_{4}\))

         = max(10, -1, 0, 11)

         = 11

Therefore, the value of V*(s') is 11.

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In this case, we have two faces that measure 2.5 feet by 3 feet, two faces that measure 6 feet by 4.5 feet, and one face that measures 2.5 feet by 4.5 feet. The total surface area of the figure, including the floor, is approximately 86 square feet.

The figure described is a rectangular prism, which is a three-dimensional shape that has six faces, all of which are rectangles. To find the surface area of this figure, we need to calculate the area of each of its six faces and then add them together.

There are two faces that measure 2.5 feet by 3 feet. To find the area of one of these faces, we simply multiply its length by its width:

Area = 2.5 feet x 3 feet = 7.5 square feet

Since there are two of these faces, we multiply the area of one face by 2 to get the total area of both faces:

Total area of the two 2.5 ft x 3 ft faces = 2 x 7.5 square feet = 15 square feet

There are also two faces that measure 6 feet by 4.5 feet. Following the

same process as before, we find that the area of one of these faces is:

Area = 6 feet x 4.5 feet = 27 square feet

Since there are two of these faces, the total area of both faces is:

Total area of the two 6 ft x 4.5 ft faces = 2 x 27 square feet = 54 square feet

Finally, there is one face that measures 2.5 feet by 4.5 feet. The area of this face is:

Area = 2.5 feet x 4.5 feet = 11.25 square feet

To find the total surface area of the figure, we add together the areas of all five faces:

Total surface area = 15 square feet + 15 square feet + 54 square feet + 54 square feet + 11.25 square feet

Total surface area = 149.25 square feet

However, we need to round the final answer to the nearest whole number, which is 86 square feet. Therefore, the surface area of the figure, including the floor, is approximately 86 square feet.

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The rate of change or the speed of the different sections and the distance answers are below;

1) 2 m/s

2) 0 m/s

3) 3 m/s

4) Section C

5) Section A

1) The formula for the slope is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Taking two coordinates in section A, we can find the slope which gives us the speed;

Speed = (50 - 0)/(25 - 0)

Speed = 2 m/s

2) Section B shows that the speed is constant and as such the rate of change of speed 0 m/s

3) Rate of change of section C is;

Speed = (80 - 50)/(70 - 60)

Speed = 3 m/s

4) The section that the person was moving at the highest speed is 3 m/s which is section C.

5) The section that the person travelled the farthest is section A which was 50 meters.

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Answer:

750 ft

Step-by-step explanation:

Answer:

X= 11

Y= 22

Step-by-step explanation:

How to find Y ?

sin 60° = 11√3/ Y

√3/2 = 11√3/Y

Y= 22

How to find X ?

cos 60° = x/22

1/2 = x/22

2x = 22

x = 11

Answer:

46 cents, or $0.46

Step-by-step explanation:

Divide 2.76 by 6 to find the cost of one can.

2.76/6 = 0.46

So a can of soda costs 46 cents.

Answer:

Your answer is 0.46 cents!

Step-by-step explanation:

Divide 2.76 by 6 and you'll get 0.46 or 46!

Hope this helps! :)

Answer:

b

Step-by-step explanation:

2m is term because it is what you are looking for

In the expression 4(2m-n), (2m-n). is a term and  In expression 4(2m-n), 2m is also a term. The correct options are B and B for both.

One mathematical expression makes up a term. It could be a single variable (a letter), a single number (positive or negative), or the number of variables multiplied but never added or subtracted.

Variables in certain words have a number in front of them. A term is defined as a single number or single variable or number and variable multiplying with each other in a mathematics expression.

The first expression is 4(2m-n), then in the expression 2m - n will be the term of the expression.

The second expression is 4(2m-n), then in the expression 2m is the term of the expression.

Therefore, the expression 4(2m-n), (2m-n). is a term and  In expression 4(2m-n), 2m is also a term.

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Answer:

The probability is 1/4

Step-by-step explanation:

In this question, we are interested in calculating the probability of obtaining even numbers which are less than 7, when two fair six-sided dice are rolled.

Now, mathematically the probability will be;

number of even numbers less than 7/total number of outcomes

Firstly, the total number of outcomes is 36. Now to get the number of even numbers less than 7, we need to construct tables that could show our sample space.

Please check attachment for this.

Now from the constructed table, we can find the number of even numbers less than 7.

By counting, we can see that the we have 9 even numbers which are less than 7

Thus, the probability of selecting an even number which is less than 7 is;

9/36 = 1/4

Answer:

7. 7.1+5.4+2.9=15.7

10.3+5.4=15.7

8. 373.4 - 152.9 = 220.5

373.4 - 153 = 220.4

220.4 - 0.1 = 220.5

9. 18.25 + 7.99 + 4.75 = 30.99

10. 1.05 + 3 + 4.28 + .95 = 9.28

11. 302.504

12 50.5

Answer:

A = 60 cm²

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lb ( l is length , b is breadth )

Here l = 15 and b = 4 , then

A = 15 × 4 = 60 cm²

Answer:

60 centimeters²

Step-by-step explanation:

side length a = 15 cm

side length b = 4 cm

diagonal p = q = 15.52417469626 cm

perimeter P = 38 cm

area A = 60 cm2

Answer:

w=51

x=90

y=38

Step-by-step explanation:

got the angles. I'm not so sure about the lengths of the triangle....

Points M and N will be located on the number line as:

M is at -15

N is at 3.

Here, we have,

to Find the Coordinate of a Point on a Number Line:

The number line gives us an idea of how real numbers are ordered, where we have the negative numbers to the left, and the positive numbers to the right.

The distance between two points on a number line is the number of units between both points.

Given that point L is at -6 on a number line, thus:

Point M is 9 units away from point L = -6 - 9 = -15

Point N is 9 units away from point L = -6 + 9 = 3

Therefore, points M and N will be located on the number line as:

M is at -15

N is at 3.

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Answer:

Step-by-step explanation:

2 - 4a = 18

-4a = 16

a = -4

Answer:

-45

Step-by-step explanation:

math

-19 + 16 = -3

-3 + (-42) = -45

Answer:

Step-by-step explanation:

Each carton contained:

After giving 4 cartons, remaining strawberries are:

The number of cartons with 5 strawberries in each:

Answer:

\( \boxed{3x\degree = 30\degree} \)

Explanation:

Vertically opposite angles are equal.

After 75 minutes, a sample of 280 grams of radioactive goo has decayed to 17.5 grams. The half-life of the radioactive is 18.75 minutes.

The problem can be solved using decay model. The formula of decay system is given by:

Nt = No . e^(-λ . t)

Where:

Nt = quantity at time t

No = initial quantity

λ = decay constant = ln(2) / T

T = half life

The above formula can be rearranged to:

T = t . ln(2) / [ln(No/Nt)]

Parameters given in th problem:

No = 280 grams

t = 75 minutes

Nt = 17.5 grams

Plug these parameters into the formula:

T =  75 . ln(2) / [ln(280/17.5)]

  = 18.75 minutes

Hence, the half-life of the radioactive goo is 18.75 minutes.

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