Is 5/11 closer to 0, 1, 1/2

The correct option is A) 20.2.

What is triangle sum?

The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.

Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:

Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:

K = 180 - A - B

= 180 - 84 - 65

= 31 degrees

Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:

sin(A)/x = sin(K)/17

Substitute the values we know into the equation and solve for x:

sin(84)/x = sin(31)/17

x = sin(84)*17/sin(31)

Using a calculator, we get:

x ≈ 20.2

Therefore, the value of x in the triangle is approximately 20.2.

So, the correct option is A) 20.2.

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Answer: 10

Step-by-step explanation:

2*45=90

90/9=10

Answer:

10

Step-by-step explanation:

All you have to do is type the equation into a calculator and it will give you the answer.

The probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm is 0.7486

First, we need to calculate the z-score for the sample mean:

z = (x - μ) / (σ / √n)

z = (168.58 - 169) / (2.2 / √10)

z = -0.67

Next, we need to find the probability that a randomly selected bundle of steel rods will have a mean length greater than 168.58 cm. This is equivalent to finding the area under the standard normal distribution curve to the right of z = -0.67.

Using a standard normal distribution table or calculator, we find that the probability is 0.7486.

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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9514 1404 393

Answer:

  d.  45

Step-by-step explanation:

You can check the offered answers. You will find that the difference from reversing the digits will only be 9 if the digits differ by 9/9 = 1.

The original number is 45.

__

Check

  45 + 9 = 54 . . . with the digits reversed

Answer:

Solution given:

\(f(x)=\frac{x-16}{x^2+6x-40}\)

\(g(x)=\frac{1}{x+10}\)

now

f(x)+g(x)=\(\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}\)....(1)

now

factoring x²+6x-40

we get

x²+10x-4x-40

x(x+10)-4(x+10)

(x+10)(x-4)

now substituting in equation 1 ,we get

f(x)+g(x)=\(\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\)

taking l.c.m

=\(\frac{(x-16)+(x-4)}{(x-10)(x-4)}\)

=now

opening bracket

\(\frac{x-16+x-4}{x²-10x-4x+40}\)

=\(\frac{2x-20}{x²+6x-40}\)

So

answer is :

B. \(\bold b\frac{2x-20}{x^2+6x-40}\)

Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

By using trigonometric relations we will see that the area is:

\(A = h*tan(60\°)*/2 = tan(60\°)*h^2/2\)

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

\(A = h*tan(60\°)*/2 = tan(60\°)*h^2/2\)

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

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Answer:

the guy on top is correct

Step-by-step explanation:

The number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds

Given:

cost of peaches per pound = $4

cost of apples per pound = $2

Total amount spent = $60

Total pounds bought = 24

let

x = number of peaches

y = number of apples

x + y = 24 (1)

4x + 2y = 60 (2)

multiply (1) by 2

2x + 2y = 48 (3)

4x + 2y = 60 (2)

subtract (3) from (2)

4x - 2x = 60 - 48

2x = 12

x = 12/2

x = 6

substitute x = 6 into (1)

x + y = 24 (1)

6 + y = 24

y = 24 - 6

y = 18

Therefore, the number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds

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We know that

Maxine works for 8 hours.

The rate is $16 per hour.

The total earning would be

Answer:

rational the

Step-by-step explanation:

if x = 69, then x^2+x = 4830

Answer:

c

Step-by-step explanation:

The calculated value of x in the equation (x + 1) (x - 5) = 16 is 7

From the question, we have the following parameters that can be used in our computation:

(x + 1) (x - 5) = 16

The above expression is the product of two factors

(x + 1) and (x - 5)

And the result is 16

Express 16 as 8 * 2

So, we have

(x + 1) (x - 5) = 8 * 2

By comparison, we have

x + 1 = 8 and x - 5 = 2

When evaluated, we have

x = 7 and x = 7

This means that the value of x in the equation is 7

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Answer:

Volume of the prism =  280 ft^3

Step-by-step explanation:

Recall that the volume of a prism is given by the  following formula:

Volume = B * H

where B is the area of the base (in our case a right angle triangle), and H is the prism's height (in our case 16 ft)

Then we estimate the area of the triangle at the base as base* height/2 :

Area triangle = 5 * 7 / 2 = 35/2 ft^2

and multiply by the prism's height to get its volume:

Volume = 35/2 * 16 = 280 ft^3

Answer: Looks like a positive correlation with an outlier in the lower left.

Step-by-step explanation:

The general solution of the logistic equation is y = 14 / [1 - C · tⁿ], where a = - 14² / 3 and C is an integration constant. The particular solution for y(0) = 10 is y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

Herein we have a kind of ordinary differential equation with separable variables, that is, that variables t and y can be separated at each side of the expression prior solving the expression:

dy / dt = 3 · y · (1 - y / 14)

dy / [3 · y · (1 - y / 14)] = dt

dy / [- (3  / 14) · y · (y - 14)] = dt

By partial fractions we find the following expression:

- (1 / 14) ∫ dy / y + (1 / 14) ∫ dy / (y - 14) = - (14 / 3) ∫ dt

- (1 / 14) · ln |y| + (1 / 14) · ln |y - 14| = - (14 / 3) · ln |t| + C, where C is the integration constant.

y = 14 / [1 - C · tⁿ], where n = - 14² / 3.

If y(0) = 10, then the particular solution is:

y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

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The standard deviation for this set of data is approximately 2.85.

To find the standard deviation, we first need to take the square root of the variance. Therefore, the standard deviation for the given data set is the square root of 8.1, which is approximately 2.846.
To find the standard deviation of a set of data when the variance is given, you simply need to take the square root of the variance. In this case, the variance equals 8.1.
Step 1: Identify the variance, which is 8.1.
Step 2: Take the square root of the variance.
Standard Deviation = √(Variance) = √(8.1)
Step 3: Calculate the square root of 8.1.
Standard Deviation ≈ 2.85
So, the standard deviation for this set of data is approximately 2.85.

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Answer:

x = -0.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=mx+b

m= slope and b= y intercept

you'll start with a point on the y axis on -1

and the slope will go up so towards the right corner up but 2/1 points

Answer:

About $0.35 per bottle.

Step-by-step explanation:

8.44 / 24 = .3516

Answer:

roughly 35 cents

Step-by-step explanation:

8.44/ 24= .3516

.3516x24= 8.44

Hope this helps. Plz give brainliest.

Answer: x = 28

Step-by-step explanation:  

Trust me :)

The unit rate for the speed in miles per hour will be 2 miles per hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

In a race, a bicyclist travels 2/3 of a mile in 1/3 hour.

Now,

Since, Distance cover by bicyclist = 2/3 miles

Time = 1/3 hour

We know that;

⇒ Speed = Distance / Time

Substitute all the values, we get;

⇒ Speed = 2/3 ÷ 1/3

               = 2/3 × 3/1

               = 2 miles per hour

Thus, The unit rate for the speed in miles per hour = 2

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Answer:

C, 0;-4

Step-by-step explanation:

y=-4 means that no matter what the x value is, the y value will ALWAYS be -4. It does not change based on what x is, and we can tell that just by looking at it because x isn't even in the equation. I've attached an image of that the graph would look like.

The slope of the graph references how many units the y value increases for each increase in the x value. For example, a slope of 1/2 means that each time the x value increases by 2, the y value would increase by 1. But because y's value never changes, the slope is 0. No matter how much the x value changes, the increase in y values will be 0.

Since the y-axis is at where x=0, the y-intercept basically asks, "What is y's value when x is 0?" But like I mentioned before y's value never changes. It's always -4, no matter what the x value is. Therefore, the y-intercept is at -4.

Answer:

4

Step-by-step explanation:

The lowest common denominator for 1/2 and 1/4 is also the lowest common multiple of 2 and 4. Since 4 is a multiple of 2, 4 itself is the lowest common multiple.

1/4 would remain, and 1/2 would be written as 2/4.

Answer:

4

Step-by-step explanation:

Answer:

561 patients

Step-by-step explanation:

45 percent of 1020= 459

1020-459=561

Answer:

1.32

Step-by-step explanation:

because if you multiply it you get 1.32

Recall that domain is in x axis

Thus from the graph we can see,

the domain is  x ≥ -1   and x ≤ 3

Thus final domain: -1 ≤ x ≤ 3

Answer:

\(\textsf{domain:}\quad-1\leq x\leq 3\)

\(\textsf{range:}\quad\dfrac{16}{3}\leq y\leq 27\)

Step-by-step explanation:

Information

Domain of a function: set of all possible input values (x-values)

Range of a function: set of all possible output values (y-values)

Closed circle:  less than or equal to and greater than or equal to (≤ or ≥).

Open circle: less than or greater than (< or >)

Domain

There is a closed dot at x = -1 and x = 3

Therefore, the domain is -1 ≤ x ≤ 3

Range

To calculate the exact range, we need to figure out the equation of the function (as it is difficult to read the exact value of y at x = -1).

From inspection of the graph, we can identify the following ordered pairs:

(1, 12)  (2, 18)  (3, 27)

General form of an exponential equation: \(y=ab^x\)

Inputting the first two ordered pairs into the exponential equation:

\(\implies ab^1=12\)

\(\implies ab^2=18\)

Dividing the equations to find b:
\(\implies \dfrac{ab^2}{ab^1}=\dfrac{18}{12}\)

\(\implies b=\dfrac32\)

Inputting b into the first equation to find a:

\(\implies \dfrac32a=12\)

\(\implies a=8\)

Therefore, the equation of the function is: \(y=8\left(\dfrac32\right)^x\)

Input  \(x = -1\)  into the equation to find y:

\(\implies 8\left(\dfrac32\right)^{-1}=\dfrac{16}{3}\)

Therefore, the range is \(\dfrac{16}{3}\leq y\leq 27\)

Answer:

Step-by-step explanation:

1 acre = 4,840 yd²

1 acre = 43,560 ft²

4,840 yd² = 43,560 ft²

1 yd² = 43,560/4,840 ft² = 9 ft²