What is the value of x in the figure
shown?
37°
y
(3x + 1)

The domain of the given quantity is all the real numbers except 1.

And range of the function is all the real numbers.

All the potential values of the independent variable, x, for which y is specified, constitute the domain and range of a function. Every possible value of the dependent variable y falls inside a function's range.

We have the given quantity

\(\frac{3x^{2} +x-4}{x - 1}\)

So, we can say that now we have a function, let f(x) be the function such that

f(x)= \(\frac{3x^{2} +x-4}{x - 1}\)

As from the fact that, the set of all input values for which this function is defined is called the domain of the function.

And the set of values for the input values is called the range of the given function.

Here, function is not defined for x = 1.

Because if we put x = 1, we get denominator 0. And (something / 0) is not defined.

So, we can input any real numbers for x in function f(x) except 1. Because at x = 1 our function is not defined.

Therefore, the domain of given function f(x) is all the real numbers except 1.

And, if we input all the real numbers in function f(x)  we get only real numbers as the output. Therefore, the range of the given quantity or function is real numbers.

Hence, the domain of the given quantity is all the real numbers except 1.

And range of the function is all the real numbers.

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Answer:

\( ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The confidence interval is 95% and the significance level is \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\) and the critical value would be:

\(z_{\alpha/2}= 1.96\)

And the margin of error would be:

\( ME = 1.96 \sqrt{\frac{0.225 (1-0.225)}{240}}= 0.0528\)

Step-by-step explanation:

We have the following info given:

\( n =240\) the sample size selected

\(X=54\) the number of people who lease a car

\(\hat p =\frac{54}{240}= 0.225\) the estimated proportion of people who lease a car

The margin of error is given by:

\( ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The confidence interval is 95% and the significance level is \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\) and the critical value would be:

\(z_{\alpha/2}= 1.96\)

And the margin of error would be:

\( ME = 1.96 \sqrt{\frac{0.225 (1-0.225)}{240}}= 0.0528\)

Answer:

i need more detail i know the awnser just explain more

Step-by-step explanation:

Answer:

Explain more pls

Step-by-step explanation:

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

(a) The mean of the relevant distribution is 2.4 defective pistons.

(b) The standard deviation of the distribution is 1.539.

The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.

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Answer:

greatest common factor

Step-by-step explanation:

To find the GCF of a set of numbers, list all the factors of each number. The greatest factor appearing on every list is the GCF. For example, to find the GCF of 6 and 15, first list all the factors of each number. Because 3 is the greatest factor that appears on both lists, 3 is the GCF of 6 and 15.

Answer:

120

Step-by-step explanation: 4x10x2 +2x5x4 =80+40=120 cubic inches

Answer:

Step-by-step explanation:

Answer: This is a 1 by 5 rectangle

perimeter = 12 units

========================================================

Work Shown:

Label the vertices A,B,C,D

A =  (1, 4)

B = (1, 5)

C = (6, 5)

D = (6, 4)

The x coordinates of points A and B are the same (x = 1). The difference in y values of these points is 5-4 = 1 unit. This is the height of the rectangle. In other words, it's the length of segment AB.

Points B and C have the same y coordinate (y = 5). The difference in x value is 6-1 = 5 which is the horizontal length of the rectangle. This is the length of segment BC.

In short, this is a 1 by 5 rectangle. It's one unit tall and five units across.

--------

Perimeter = 2*(length+width)

Perimeter = 2*(5+1)

Perimeter = 2*6

Perimeter = 12 units

Or you can add up the four sides (1,5,1 and 5) to get the same result.

Answer:

24

Step-by-step explanation:

Original Number :-

Given that ,

Let ,

Number ,

On interchanging the digits :-

→ Number = 10( 6-x) + x

→ Number = 60 - 10x + x

→ Number = 60 - 9x

According to Question,

→ 9x + 6 + 18 = 60 - 9x

→ 18x = 60 - 24

→ 18x = 36

→ x = 36/18

→ x = 2

Answer:

Step-by-step explanation:

\( \frac{8 {x}^{4} }{16 {x}^{7} } \)

Reduce the fraction with 8

\( \frac{ {x}^{4} }{2 {x}^{7} } \)

Simplify the expression

\( \frac{1}{2 {x}^{3} } \)

Hope this helps...

Good luck on your assignment...

Answer:

A it's a because 45 x 10³ is 75

The value of the function (f-g)(x)=\(x-4x^{2} -x^{3} -3\).

What is a function?

A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.

f(x)= x¹ - x² +9

g(x) = x³ + 3x² + 12

To find (f-g)(x):

The operations on functions are as easy as the operations on numbers or polynomials.

We have to subtract the functions to find the above mentioned operation.

(f-g) (x)= f(x)-g(x)

          = (x¹ - x² +9)-(x³ + 3x² + 12)

The minus will change the signs of function g.

          = \(x-x^{2} +9-x^{3}-3x^{2} -12\)

          =\(x-4x^{2} -x^{3} -3\)

Hence, the value of the function (f-g)(x)=\(x-4x^{2} -x^{3} -3\)

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Answer:

Commission rate is 18 %

Step-by-step explanation:

In order to find percentage

  ( 468×100)÷2600 = 18

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

General equation of circle

centre(h,k)

radius=r

#53

Centre (3,-4)

radius=√16=4units

#54

Centre(-2,0)

Radius=√50units

Answer:

Equation of a circle

\((x-a)^2+(y-b)^2=r^2\)

where:

Question 53

Given equation:   \((x-3)^2+(y+4)^2=16\)

Comparing this with the general equation of a circle:

⇒ center = (3, -4)

⇒ radius = √16 = 4

Question 54

Given equation:   \((x+2)^2+y^2=50\)

Comparing this with the general equation of a circle:

⇒ center = (-2, 0)

⇒ radius = √50 = 5√2 = 7.1 (1 dp)

To graph the circles:

(Graphs attached)

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

136

Step-by-step explanation:

it adds for every time.

Answer: m∠1 = 90°

Step-by-step explanation:

Answer

A - 30

B - 70

C - 30

D - 120

E - 30

Step-by-step explanation:

This is off the top of my head

Answer:

No

Step-by-step explanation:

To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.

Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values.  Still need to check if each x-value has a unique corresponding y-value.

Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).

Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.

Answer:

The matix equation for the system is:

Explanation:

Given the pair of equations:

We want to write this in a matrix form. This is done by having the coefficients of x from both equations on one row, and the coefficients of y on another.

It would be in the form:

Ax = b

Where A are the coefficients of the variables, x are the variables, and b are the constants.

Answer: *for 8* Yes, It is congruent by SAS.

Step-by-step explanation:

Since we know that LM and NM are congruent, and that angles LMP and NMP are congruent, then all we need to do is prove that MP is congruent to MP, and we can do that by saying that MP is congruent to MP using the reflexive property.

Answer:

C or d

Step-by-step explanation:

kinetic energy is the energy a body possesses due to its motion because it is energy, kinetic energy it expresses the unit of joules. Velocity is very similar to speed. The difference is that Velocity is the speed in the given direction

Answer:

t ≤ 8

Step-by-step explanation:

Equation Total

1 hour 32 + 9.4 41.4

2 hours 32 + 2(9.4) 50.8

3 hours 32 + 3(9.4.) 60.2

4 hours 32 + 4(9.4.) 69.6

5 hours 32 + 5(9.4.) 79.0

6 hours 32 + 6(9.4.) 88.4

7 hours 32 + 7(9.4.) 97.8

8 hours 32 + 8(9.4.) 107.2

So we know the maximum amount of time is 8 hours. So now let's express this as an inequality:

32 + 9.4t ≤ 107.2 Now let's solve for t

9.4t ≤ 75.2

t ≤ 8

Answer:

Step-by-step explanation:

0.1 g = 100 mg

85 mg / 100 mg = x mL / 1.5 mL

x = 1.275 mL

Answer:

69536

LOLLLLLLLLLL

Answer:

69536

Step-by-step explanation: and rounded to the nearest what