What's 15/11 and a mixed number?

Answer:

x < 11/4

Step-by-step explanation:

hope this is right!

Answer:

Exact Form:

x  =  1/2 , 3/2  

Decimal Form:  x  =  0.5  ,  1.5

Mixed Number Form:  x  =   1/2   1/1,2  

Step-by-step explanation:

Answer:

3600 miles on 240 gal

Step-by-step explanation:

80 gal can go 1200

160 gal can go 2400

240 gal can go 3600

Answer:

Out of these careers, an engineer would be the most geometric involved career.

Step-by-step explanation:

This answer is true through the process of elimination. A stockbroker focuses on economy in order to choose the right stock. A statistician focuses on graphing and statistics in terms of math. An accountant is focused on simple math in order to deduct and add to the sum of the money. The engineer has to use geometry in order to design plans for constructions.

Answer: engineer

Step-by-step explanation:

Where the above conditions exist,

The random variable T = L + C represents the total time it takes Lorelei and Chance to finish a randomly selected 3-layer wedding cake. Since L and C are independent and Normally distributed, T is also Normally distributed with mean:

Mu_T = Mu_L + Mu_C = 37 + 52 = 89

and variance:

Var(T) = Var(L) + Var(C) = 12^2 + 7^2 = 193

So the standard deviation of T is:

Sigma_T = sqrt(Var(T)) = sqrt(193) = 13.89

The shape of T is also Normally distributed, since it is a sum of two independent Normally distributed variables.

To find the probability that Lorelei and Chance finish a randomly selected 3-layer wedding cake in under 90 minutes, we need to calculate the z-score for this value and then find the corresponding probability from the z-table. The z-score is:

z = (90 - 89) / 13.89

= 0.072

From the z-table, we find that the probability of a Z-score less than or equal to 0.072 is 0.5287.

Therefore, the probability that Lorelei and Chance totally finish a randomly selected 3-layer wedding cake in under 90 minutes is 0.5287 or approximately 53%.

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Answer:

Your answer is going to be d

Step-by-step explanation:

Add up the angles you already have and subtract that sum from 180

180 - 133 = 47

Answer:

D

Step-by-step explanation:

39+94=133

180-133=47

The area of the region cleaned by the 7-in wiper blade with the angle subtended being 92⁰ as described in the task content is; 39.32in².

According to the task content, it follows that the wiper blade is 7-in long and subtends an angle of 92°.

Consequently, the area swept by the blade in discuss can be determined by the Area of sector formula and hence, is;

Area = (92/360) × (22/7) × 7².

Area = 39.32 in².

Ultimately, it follows from the solving steps above that the area of the region cleaned by the 7-in wiper blade with the angle subtended being, 92⁰ is; Area = 39.32 in².

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Answer:

Step-by-step explanation:

So this is an isosceles triangle so the other angle must be x too.

So:

x+x+40 = 180

2x+40 = 180

2x = 140

x = 70

Answer:

i think 70 degrees

Step-by-step explanation:

becuase all triangles and up to 180 degrees

70+ 70(becuase two sides are equal ) and +40 equals 180 degrees.. i think 70 is the answer(not sure i'm not a pro when it comes to maths... but that my final answer.

a. The derivative of f(x) = (x^2 - x + 2)^4 is f'(x) = 4(x^2 - x + 2)^3(2x - 1).

b. To find f'(1), substitute x = 1 into the derivative function: f'(1) = 4(1^2 - 1 + 2)^3(2(1) - 1).

a. To find the derivative of f(x) = (x^2 - x + 2)^4, we apply the chain rule. The derivative of (x^2 - x + 2) with respect to x is 2x - 1, and when raised to the power of 4, it becomes (2x - 1)^4. Therefore, the derivative of f(x) is f'(x) = 4(x^2 - x + 2)^3(2x - 1).

b. To find f'(1), we substitute x = 1 into the derivative function: f'(1) = 4(1^2 - 1 + 2)^3(2(1) - 1). Simplifying this expression gives f'(1) = 4(2)^3(1) = 32.

2. In the price-demand equation 0.2x + 2p = 900, where p is the price per gallon in dollars and x is the daily demand measured in millions of gallons:

a. To find the price that should be charged if the demand is 30 million gallons, we substitute x = 30 into the equation and solve for p: 0.2(30) + 2p = 900. Simplifying this equation gives 6 + 2p = 900, and solving for p yields p = 447. Therefore, the price should be charged at $447 per gallon.

b. If the price increases by $0.5, we can calculate the decrease in demand by solving the equation for the new demand, x': 0.2x' + 2(p + 0.5) = 900. Subtracting this equation from the original equation gives 0.2x - 0.2x' = 2(p + 0.5) - 2p, which simplifies to 0.2(x - x') = 1. Solving for x - x', we find x - x' = 1/0.2 = 5 million gallons. Therefore, the demand decreases by 5 million gallons when the price increases by $0.5.

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Answer:

m = -100

Step-by-step explanation:

(1/5)m -12 = -32

add 12 on both sides

(1/5)m = -20

multiply both sides by 5

m = -100

Answer:

m = -100

Step-by-step explanation:

So in order to solve this equation we are going to have to convert 1/5m to a decimal, this will make it easier to solve the equation:

1/5m = 0.2m

Next we are going to take our 0.2m and place it within the equation where 1/5m is:

⅕m - 12 = -32  or 0.2m - 12 = -32

So now we are going to add 12 to both sides of the equal sign in the equation to segregate the 0.2m within the equation:

0.2m - 12 = -32  or 0.2m + (-12 + 12) = (-32 + 12)

making the equation look like this:

0.2m = -20

now we are going to divide 0.2 from both 0.2m and -20 to get the value of m:

0.2m/0.2 = -20/0.2

Thus getting the answer:

m = -100

So how do we know that -100 is the value of m? well we check our work of course by substituting -100 in place of m!

⅕(-100) - 12 = -32  or 0.2(-100) - 12 = 32

0.2(-100) - 12 = 32

-20 - 12 = -32

-32 = -32

67.3% of the data values are less than 75.

Data is a set of values or facts that is used as a basis for reasoning, discussion, or calculation. Data can be numerical, such as measurements, or it can be non-numerical, such as words or images

The box-and-whisker plot is a visual representation of a data set that displays the median, minimum, maximum, first quartile, and third quartile of the data set. The plot below displays the data set with the first quartile being 40 and the third quartile being 92. This means that the range of the data set is 40-92. The value of 75 falls within this range, so 25% of the data values are less than 75. This can be calculated by taking 75-40, which is 35, and dividing it by the range of the data set (92-40 = 52). This gives us 0.673, which when multiplied by 100 gives us a percentage of 67.3%. Therefore, 67.3% of the data values are less than 75.

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The steel cube will float in mercury, completely submerged. The submerged depth of the cube is 0.25 m.

Given that,Length of the side of the steel cube = 0.25 mSpecific gravity of steel = 7.6Specific gravity of mercury = 13.6To determine the submerged depth of the cube.Let us calculate the buoyant force on the cube of steel,

The buoyant force acting on the steel cube is given as;B = V × ρfluid × g... (1)Where,V = Volume of the displaced fluidρfluid = Density of the fluidg = Acceleration due to gravityLet us find out the volume of the displaced fluid;As we know, Volume of the cube = l³ = 0.25³ = 0.015625 m³.

The volume of the displaced fluid is equal to the volume of the cube, therefore, Volume of the displaced fluid = 0.015625 m³.

Now, let us find out the density of the fluid.The density of the fluid is given as;ρfluid = ρ0 × SGfluidWhere,ρ0 = Density of water = 1000 kg/m³SGfluid = Specific gravity of mercury = 13.6,

Density of mercury = ρ0 × SGfluid= 1000 × 13.6= 13600 kg/m³.

Now, putting the values in equation (1), we get;B = V × ρfluid × g= 0.015625 × 13600 × 9.8= 2089 NThus, the buoyant force acting on the cube of steel is 2089 N. Now, let us find out the weight of the cube of steel.

The weight of the cube of steel is given as,W = m × g.... (2)Where,m = Mass of the steel cubeg = Acceleration due to gravityAs we know, Density of steel, ρ = 7.6 kg/m³.

Volume of the steel cube = l³ = 0.25³ = 0.015625 m³Mass of the steel cube,m = Volume × Density = 0.015625 × 7.6 = 0.118 kgPutting the values in equation (2), we get;W = m × g= 0.118 × 9.8= 1.1564 N.

Thus, the weight of the steel cube is 1.1564 N.The cube of steel will float in mercury, because, the buoyant force acting on the steel cube (2089 N) is greater than the weight of the steel cube (1.1564 N).Hence, the cube of steel will float completely submerged in the mercury, therefore, the submerged depth of the cube is 0.25 m. 

The buoyant force acting on the steel cube is calculated as B = V × ρfluid × g. The volume of the displaced fluid is equal to the volume of the cube (V).

The density of mercury is given by ρ0 × SGfluid, where the density of water, ρ0 = 1000 kg/m³ and SGfluid = Specific gravity of mercury = 13.6.

Therefore, the density of mercury is given by ρfluid = ρ0 × SGfluid = 1000 × 13.6 = 13600 kg/m³. The buoyant force acting on the cube of steel is 2089 N. The weight of the cube of steel is given by W = m × g, where the mass of the steel cube is m = Volume × Density = 0.015625 × 7.6 = 0.118 kg.

Therefore, the weight of the steel cube is 1.1564 N. Since the buoyant force acting on the steel cube (2089 N) is greater than the weight of the steel cube (1.1564 N), the cube of steel will float completely submerged in the mercury. The submerged depth of the cube is 0.25 m.

The steel cube will float in mercury, completely submerged. The submerged depth of the cube is 0.25 m.

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Answer: ↓↓↓

Step-by-step explanation:

Part A

131.5 or $131,500 is the starting value of the plane X before it started to depreciate.

Part B (They meant plane Y as in plane Y but plane B as in the second plane, look at the table and Part C)

b (m) = 177,233 (0.024)^m

$177,233 is the starting value of plane Y.

The value depreciates by 2.4% and that is the same as 0.024, except 0.024 is in decimal form.

Part C

b (t) = 177,233 (0.024 x 12)^t

b (t) = 177,233 (0.288)^t

I multiplied 12 by the depreciation because for the whole equation to actually show the depreciation in years I had to solve how much the plane would depreciate in 1 year. So, since 12 months is 1 year, I multiplied 12 by 0.024.

That's it! I hope I'm right because this took a lot of thinking lol

Answer:

Step-by-step explanation:

Answer:

\(\displaystyle y = \frac{-2}{7}\)

Step-by-step explanation:

   To solve, we will isolate the variable.

   Given:

-12/7 = 6y

   Divide:

\(\displaystyle \frac{\frac{-12}{7} }{6} =\frac{6y}{6}\)

   Simplify the right side:

\(\displaystyle \frac{\frac{-12}{7} }{6} =y\)

   "Keep, change, flip" on the left side:

\(\displaystyle \frac{-12}{7} *\frac{1}{6} = y\)

   Multiply:

\(\displaystyle \frac{-12*1}{7*6}= y\)

\(\displaystyle \frac{-12}{42}= y\)

   Simplify and reflexive property:

\(\displaystyle y = \frac{-2}{7}\)

Answer:

17 is already a simplest form so you can do a decemil form 0.17

Step-by-step explanation:

Answer:

10.68 miles

Step-by-step explanation:

17 mile radius = 34 mile diameter

34 mile diameter x 3.14 = circumference = 106.82 miles

Pi/5 radians = 36 degrees

36(106.82)/360 = 10.68 miles

Answer:

Omar can buy a bunch of pairs of socks.

Step-by-step explanation:

u didnt give me an equation to solve

Answer:

At most of 7

Step-by-step explanation:

Answer:Not possible to divide really.

Step-by-step explanation: Don't get your quetsion where's the statement or wtv?...

Answer:

m = 2 \(\frac{1}{2}\)

Step-by-step explanation:

1/2 / 3/5

1/2 * 5/3 (flip second fraction to multiply fraction)

5/6

1/3 m = 5/6

multiply both sides by 3 so you get m

m = 15/6

final answer: m = 2 \(\frac{1}{2}\)

The number of ways that 6 people can all be arranged in a line is 720. To find the number of ways that 6 people can be arranged in a line ,We can use the formula for permutations.

Which is n!/(n-r)!, where n is the total number of items and r is the number of items selected at a time. In this case, n = 6 (the total number of people) and r = 6 (they all need to be arranged in a line), so we get 6!/0!, which simplifies to 6 x 5 x 4 x 3 x 2 x 1 = 720. Therefore, there are 720 ways to arrange 6 people in a line.
In summary, the main answer to the question of how many ways 6 people can be arranged in a line is 720. The detail answer explains the formula used to arrive at this answer, which is n!/(n-r)!, where n is the total number of items and r is the number of items selected at a time.

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Answer:

The curve meets the coordinate axes at the points A(0, 1 – k) and 1 B(. ) ... 2x + 1. (d) Find the value of k. (4). (Total 12 marks). 7. –5. 5 x y. O. M (2, 4).Step-by-step explanation:

The probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 is 3/8.

Given set:

random from the set {2, 3, 7, 12, 15, 22, 72, 108}

From the set:

The number that are divisible by both 2 and 3 is:

12,72,108.

So number of favorable outcomes is = 3

Number of possible outcomes = 8

we know that

probability = favorable outcomes / possible outcomes

= 3/8

= 37.5%

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Given statement solution is :- The correlation between variable x and variable y is represented by "rxy".

Correlation is Positive when the values increase together, and; Correlation is Negative when one value decreases as the other increases.

There are three basic types of correlation: positive correlation: the two variables change in the same direction. negative correlation: the two variables change in opposite directions. no correlation: there is no association or relevant relationship between the two variables.

A basic example of positive correlation is height and weight—taller people tend to be heavier, and vice versa. In some cases, positive correlation exists because one variable influences the other. In other cases, the two variables are independent from one another and are influenced by a third variable.

The correlation between variable x and variable y is represented by "rxy".

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Bobby reads more quickly, as he reads 18 pages per day while Billy reads 15 pages per day.

A proportional relationship is modeled as follows:

y = kx.

In which k is the constant of proportionality.

The constant for Billy is given as follows:

k = 180/12 = 105/7 = ... = 30/2 = 15.

Meaning that he reads 15 pages per day.

Bobby reads 18 pages per day, which is a greater amount than the 15 pages per day read by Billy, and thus he reads more quickly.

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\( \huge\sf {\dag Question} \)

\( \large\sf { {\dfrac{3}{4}}^{3}} \)

\( \huge\sf {\dag Solution } \)

\( \large\sf { \leadsto \dfrac{3 \times 3 \times 3}{4 \times 4 \times 4}} \)

\( \large\sf { \leadsto \dfrac{27}{64} (Ans) } \)

Answer:

12/20

Step-by-step explanation:

Cos is adjacent over hypotenuse

Sin is opposite over hypotenuse

Tan is opposite over adjacent

In this case, we have cosine so we would take the adjacent (12) over the hypotenuse (20), and that will be used to find the answer

Answer:

  Kate is 16

  Leo is 20

Step-by-step explanation:

You want to know Kate's and Leo's ages if Kate is 4 years younger and twice Kate's age less 3 is the same as Leo's plus nine.

We can let K and L represent Kate's and Leo's ages, respectively. The given relations can be written as ...

  K = L -4

  2K -3 = L +9

Subtracting the first equation from the second gives ...

  (2K -3) -(K) = (L +9) -(L -4)

  K -3 = 13 . . . . . . . . . . . . . . . . . simplify

  K = 16 . . . . . . . . . . . . . add 3

  L = K +4 = 20

Kate is 16 and Leo is 20.

__

Check

Twice Kate's age, minus 3 is 2(16) -3 = 29.

Leo's age plus 9 is 20 +9 = 29, the same.

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Therefore, the volume of the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is 96 cubic units.

To find the volume of the solid bounded by the coordinate planes (xy-plane, xz-plane, and yz-plane) and the plane 6x + 4y + z = 24, we need to determine the region in space enclosed by these boundaries.

First, let's consider the plane equation 6x + 4y + z = 24. To find the x-intercept, we set y = 0 and z = 0:

6x + 4(0) + 0 = 24

6x = 24

x = 4

So, the plane intersects the x-axis at (4, 0, 0).

Similarly, to find the y-intercept, we set x = 0 and z = 0:

6(0) + 4y + 0 = 24

4y = 24

y = 6

So, the plane intersects the y-axis at (0, 6, 0).

To find the z-intercept, we set x = 0 and y = 0:

6(0) + 4(0) + z = 24

z = 24

So, the plane intersects the z-axis at (0, 0, 24).

We can visualize that the solid bounded by the coordinate planes and the plane 6x + 4y + z = 24 is a tetrahedron with vertices at (4, 0, 0), (0, 6, 0), (0, 0, 24), and the origin (0, 0, 0).

To find the volume of this tetrahedron, we can use the formula:

Volume = (1/3) * base area * height

The base of the tetrahedron is a right triangle with sides of length 4 and 6. The area of this triangle is (1/2) * base * height = (1/2) * 4 * 6 = 12.

The height of the tetrahedron is the z-coordinate of the vertex (0, 0, 24), which is 24.

Plugging these values into the volume formula:

Volume = (1/3) * 12 * 24

= 96 cubic units

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Answer:

Step-by-step explanation:

Original rectangle

L = 2*w

w = w

New rectangle

2w + 4

w - 3

Area New rectangle

(2w + 4)(w - 3) = 600               Remove the brackets

2w^2 - 6w + 4w - 12 = 600     Combine the left

2w^2 - 2w -  12 = 600             Subtract 600 from both sides

2w^2 - 2w - 600 - 12 = 0        Combine

2w^2 - 2w - 612 = 0                This factors.

(w- 18)(w + 17) = 0

w +  17 will produce nothing useful. What is - 17 m ? Can you measure it?

w = 18

check

Original Triangle

w = 18

L = 36

Derived Triangle

L = 36 + 4 = 40

w = 18 - 3 = 15

LW = 600

Answer