Rearrange b = c + xd to make x the subject of the formula.​

Answer: 26

Step-by-step explanation:

Answer: C

Step-by-step explanation:

We need to turn 50% into a fraction first to make it easier,

50% is equal to 1/2 because 50/100 is simplified to 1/2.

Now let's multiply!

24 x 1/2 = 24/2 = 12/1 = 12

Answer:

mean = 49.25

Step-by-step explanation:

mean = sum of all the number ÷ amount of number

mean = 56 + 21 +55 + 30 + 34+ 76 + 40 + 82 = 394 ÷ 8

mean = 49.25

mean absolute deviation = (56- 49.25) + (21 - 49.25) + (55 -49.25) + (30 - 49.25) + (34 -49.25) + (76 -49.25) + (40 - 49.25) + (82- 49.25) / 8

mad= 6.75 + -28.25 + 5.75 + -19.25 + -15.25 + 26.75 + -9.25 + 32.75 / 8

mad = 0/8

mad= 0

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Answer:

y = -6

Step-by-step explanation:

The line this equation creates passes through (5,-6) and is perpendicular to the Y-axis.

Susannah's data are illustration of measure of central tendencies

(a) The mean

To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.

The total is:

\(\mathbf{Total = 73 +88+85+88+99+134+129}\)

\(\mathbf{Total = 696}\)

The number of days is:

\(\mathbf{Day = 7}\)

So, the mean is:

\(\mathbf{Mean =\frac{Total}{Days}}\)

\(\mathbf{Mean =\frac{696}{7}}\)

\(\mathbf{Mean =99.4}\)

Hence, the mean number of turkey sandwiches sold is 99.4

(b) The median

To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.

In ascending order, we have: 73, 85, 88, 88, 99, 129, 134

The middle item is 88

So:

\(\mathbf{Median = 88}\)

Hence, the median number of turkey sandwiches sold is 88

(c) The mode

This is the data that occurs most.

From the dataset, 88 appears twice (more than others).

So:

\(\mathbf{Mode = 88}\)

Hence, the mode number of turkey sandwiches sold is 88

(d) The range

This is the difference between the highest and least data

From the dataset,

The highest is 134, and the least is 73

So:

\(\mathbf{Range =134 - 73}\)

\(\mathbf{Range =61}\)

Hence, the range of turkey sandwiches sold is 61

The measure that would be most helpful is the median, because it is not affected by outliers.

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Answer:

Step-by-step explanation:

Let's make a proportion:

1 / 5 mile  -   1 / 4 hour

   X  mile  -    1 hour

X = 1·(1/5) / (1/4)= (1/5) · 4 = 4 / 5  mile

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

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

According to the equation does the graph of the systems of equations solve is B.

1/3x+1=2x-4 is correct.

A graph is a structure consisting of a group of items, some of which are "linked." The objects are mathematical abstractions known as vertices, and each pair of connected vertices is known as an edge.

It is evident from the graph that the two lines intersect at the location:

(3, 2).

To put it another way,

at x =3, y = 2

The point where two lines intersect is:

(x, y) = (3, 2) (3, 2).

Now,

x = 3 is the point  of the x-coordinate

y = 2 is the point of the y-coordinate

Now, examine the equation, 1/3x+1=2x-4, to see if it contains the correct x-coordinate value.

(1/3)x + 1 = 2x -4

subtracting 1 from both side:

(1/3)x + 1 -1  = 2x -4 -1

We get:

(1/3)x = 2x -5

subtract 2x from both sides:

(1/3)x -2x = 2x -5 -2x

We get:

-(5/3)x = -5

on simplifying the equation we get:

x = 3

the value of x = 3

this show that the 1/3x+1=2x-4 is correct.

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Answer:

Line H, the third option

Step-by-step explanation:

First, find the value of x

X is strictly less than 6, so the answer cannot include 6

The less than sign (<) tells you the line should be pointing to the left

Answer:

y = 5x

Step-by-step explanation:

First, find the slope of the first equation by doing rise/run

This gets you -10/-2 or 5

A parallel line will have the same slope. Since it goes through the origin, the y-intercept and b value will be zero

The equation will be y = 5x

Answer:

Step-by-step explanation:

49t^4-25

(7t^2-5)(7t^2+5)

\(x > \ln(x)\) for all \(x\), so

\(\displaystyle \lim_{x\to\infty} (\ln(x) - x) = - \lim_{x\to\infty} x = \boxed{-\infty}\)

Similarly, \(\displaystyle \lim_{x\to\infty} (x-e^x) = - \lim_{x\to\infty} e^x = \boxed{-\infty}\)

We can of course see the limits are identical by replacing \(x\mapsto e^x\), so that

\(\displaystyle \lim_{x\to\infty} (\ln(x) - x) = \lim_{x\to\infty} (\ln(e^x) - e^x) = \lim_{x\to\infty} (x - e^x)\)

You can also rewrite the limands to accommodate the application of l'Hôpital's rule. For instance,

\(\displaystyle \lim_{x\to\infty} (x - e^x) = \ln\left(\exp\left(\lim_{x\to\infty} (x - e^x)\right)\right) = \ln\left(\lim_{x\to\infty} e^{x-e^x}\right) = \ln\left(\lim_{x\to\infty} \frac{e^x}{e^{e^x}}\right)\)

Using the rule, the limit here is

\(\displaystyle \lim_{x\to\infty} \frac{(e^x)'}{\left(e^{e^x}\right)'} = \lim_{x\to\infty} \frac{e^x}{e^x e^{e^x}} = \lim_{x\to\infty} \frac1{e^{e^x}} = 0\)

so the overall limit is

\(\displaystyle \lim_{x\to\infty} (x - e^x) = \ln\left(\lim_{x\to\infty} \frac{e^x}{e^{e^x}}\right) = \ln(0) = \lim_{x\to0^+} \ln(x) = -\infty\)

The steps that Matilda should take to determine if she bought the correct amount of border are:

The first step is to convert inches to feet

1 inch = 1/12 feet

96 / 12 = 8 feet

The second step is to convert yards to feet

1 yard = 3 feet

3 x 3 = 9 feet

Now, determine the perimeter of the room: 9 + 9 + 8 + 8 = 34 inches

The fourth step is to determine the feet of border bought: $30 / $1 = 30

34 > 30 thus the border is not enough

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Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

The probability that a day in Dayton will include rain or snow is 38%.

Let's assume that there are 365 days in a year (not considering leap years), and we are aware that Dayton typically experiences 25 days of snow per year, in addition to 110 days of rain. We can add the total number of rainy and snowy days in Dayton and then divide that total by the number of days in a year to determine the likelihood that a given day will be either one of those things:

probability of rain or snow = \(\frac{110+25}{365}\)

                                             =0.38

The probability that a day in Dayton will have rain or snow is 0.38 or 38%.

The question is incomplete, complete question is " Dayton is a small town in Ohio, which receives  110 days of rain and 25 days of snow per year. Ignoring leap years, Find the probability that a day in Dayton will include rain or snow."

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Answer:8

Step-by-step explanation:8x1=8

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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The total surplus at the equilibrium market base on the demand and supply functions for bikes is B. 2341.

It should be noted that from the information, the demand and supply function has been given.

First, we need to calculate the equilibrium point. This will be:

900e ^-0.1q = 3e^0.9q

e^q = 900 / 3

e^q = 300

q = In (300) = 5.70378

Therefore, we will substitute q into the function. This will be:

p = 3e^0.9In(300)

o = 508.78041

The producer surplus will be:

= (508.78041 - 3e^0.9q)dq

= 2341

Therefore, the total surplus at the equilibrium market is 2341.

In conclusion, the correct option is B.

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Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

9 is added by 4 times y is the correct answer.

The given option don't describe the expression 4y+9

Answer:

The new car travels 247.5 miles more than the old one on 30 gallons of gas.

Step-by-step explanation:

The fuel consumption of the old car was:

\(car_{old} = 18 + \frac{1}{4} = \frac{73}{4} \text{ miles per gallon}\)

The new one can travel a distance of 390 7/8 miles by using 14 3/4 gallons of fuel, therefore the consumption is:

\(car_{new} = \frac{390.875}{14.75} = 26.5 \text{ miles per gallon}\)

If the tank holds 30 gallons, on the old car the distance would be:

\(distance_{old} = 18.25*30 = 547.5 \text{ miles}\)

On the new one it will be:

\(distance_{new} = 26.5*30 = 795 \text{ miles}\)

So the new car is able to travel 247.5 miles more than the old one on 30 gallons of gas.

The solution to the equation is x = -4.6.

We must first isolate the variable x on one side of the equation before simplifying both sides.

Taking the left side first:

-2x - 10

To eliminate the fraction on the right side, multiply by 3:

-6x - 30

Let's now condense the right side:

2/3(x+1)

2/3x + 2/3

We now have:

-6x - 30 = 2/3x + 2/3

By multiplying both sides by the least common multiple of the denominators, which is 3, we may first eliminate the fraction and then isolate x:

-18x - 90 = 2x + 2

Next, on each side, we'll combine similar terms:

-18x - 2x = 2 + 90

-20x = 92

We'll finally find the value of x by multiplying both sides by -20:

x = -4.6

Hence, the answer to the equation is x = -4.6.

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Answer:All equal

Step-by-step explanation:

Answer:

The sum of 8 and 1 is 9.

lol

Step-by-step explanation:

Answer:

it a

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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