Which of the following values cannot be the sine of an angle?

Answer:

8 people bought economy and 2 bought first class

Step-by-step explanation:

there are 10 person and total is 1580 so 250+ 9(135)=1460 which is wrong so we gonna try adding 2(250) and 8(135) which got us 1580

Answer: A

I just love your questions. You always put "No guessing" haha.

Step-by-step explanation:

\(f(x)=3^x+10x\\g(x)=2x-4\)

\((f+g)(x)=\)

This basically means you have to take both functions and add them together.

\((f+g)(x)=(3^x+10x)+(2x-4)\\(f+g)(x)=3^x+10x+2x-4\\\)

Combine like terms;

\((f+g)(x)=3^x+12x-4\)

The y intercept of this quadratic equation is (0, -22)

Any subset of a Cartesian product is a relation.

A binary relation from A to B is made up of these ordered pairs (a,b), where the first component is from A and the second component is from B. Every item in a set X is connected to one item in a different set Y through a connection known as a function (possibly the same set). As an illustration, a subset of is referred to as a "binary connection from A to B," and more specifically, a "relation on A."

A graph, which is a collection of all ordered pairs (x, f (x)), is the only way to represent a function.

As you can see from these definitions, every function is a relation to X.

To find the y intercept, set x =0 and solve for y

f(0)=-0²+10×0-22

  = -22

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Answer:

42 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees

90-48=42

Answer:

B) 42°

Step-by-step explanation:

"complementary" means the angles add up to 90°

48° + 42° = 90°

Angle B must be 42°.

At x=2, the function in the graph is approaches to infinity. This is satisfied by equation 1 that models the rational function, hence option 1 is the correct answer.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

From given graph we can see that

At x=2, the function in the graph is approaches to infinity.

It means function is not defined at x=2

We know that a rational function is undefined when denominator is equal to zero.

For equation 1:

f(x)= 2(x+2)/(x-2)

Equating the denominator:

x-2=0

x=2

It means function is not defined at x=2

The y-intercept is: y= -2

The function is passing through the point (1,-6).

When we substitute x=1

Hence, option 1 is true.

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Answer:

Tristan 0.1 miles/min

Step-by-step explanation:

Divide distance and time

David =0.074 miles/min

Jalen = 0.09 miles/min

Hope this helps

Answer:

\(7^2+6\)

7 to the 2nd power is 49

49+6

55

Answer:

No, the Normal/large sample condition is not met. A confidence interval assumes that the underlying population follows a normal distribution and that the sample size should be at least 30. Since the sample size in this case is only 10, the Normal/Large Sample condition is not met and the conditions for constructing a confidence interval are not met.

Answer:

1,-6

Step-by-step explanation:the vertex is the lowest/highest point, as you can see here it is at 1,-6

Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.

Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°

So,Let's keep ∠EIH = 140°

Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)

Now,The Sum of all angles around I will be 360 degrees.

So,140 + x + 140 +  x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.

Answer:

9%

Step-by-step explanation:

Given that

The invested amount is $1,000

The future value is $2,400

The time period is 12 years

We need to find out the annual rate that compounded continously

So,

As we know that

Amount = Present value × e^(rate × time)

$2,500 = $1,000 × e^(rate × 12)

2.5 = e^(rate × 12)

ln 2.5 = 10r

ln 2.5 ÷ 10 = r

r = 9%

Answer:

42

Step-by-step explanation:

In any polygon, its exterior angles are the angles that form a straight line with its interior angles:

Then, we have that:

exterior angle + interior angle = 180º

We have that in this case the exterior angle is 24º. Then:

exterior angle + interior angle = 180º

↓ since exterior angle = 24º

24º + interior angle = 180º

↓ taking 24º to the right side of the equation

interior angle = 180º - 24º = 154º

interior angle = 154º

The measure of the interior angles of this polygon is 154º.

Answer: one interior angle = 154 Degrees.

Answer: 50

Step-by-step explanation:

5 = Fifty

6 = Six

. = decimal

1 = One tenths

3 = Three hundredth

Answer:

\( 2^{2x + 2} = 2^{4x - 4} \)

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

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

\( 2^{2x + 2} = 2^{4x - 4} \)

Angle ADC is a linear pair ( 180° )

\( \angle \: ADC = \angle \: ADE + \angle BDE\)

\(180 \degree = 112 \degree - \angle \: BDE \)

\( \angle BDE = 180 - 112\)

=> BDE = 68°

Similarly,

BCE is a linear pair or straight line.

BEC = BED + DEC

=> 180° = BED + 126°

=> BED = 180° - 126°

=> BED = 54°

As we know that Sum of angles of triangle is 180° .

m + 68° + 54° = 180°

=> m + 122 = 180°

=> m = 180° - 122°

=> m = 58°

The value of m is 58° .

Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.

P-value = 0.04

Test statistic z=2.05

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the valve pressure is significantly different from 5.5 psi.

Then, the null and alternative hypothesis are:

\(H_0: \mu=5.5\\\\H_a:\mu\neq 5.5\)

The significance level is 0.02.

The sample has a size n=270.

The sample mean is M=5.6.

The standard deviation of the population is known and has a value of σ=0.8.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{0.8}{\sqrt{270}}=0.049\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{5.6-5.5}{0.049}=\dfrac{0.1}{0.049}=2.054\)

This test is a two-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=2\cdot P(z>2.054)=0.04\)

As the P-value (0.04) is bigger than the significance level (0.02), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the valve pressure is significantly different from 5.5 psi.

Answer:

The  null hypothesis is  \(H_o : \mu = 445\)

The  alternative hypothesis  \(H_a : \mu < 445\)  (This is the original claim[ It is believed that the machine is under filling the bags] )

Step-by-step explanation:

From the question we are told that  

    The population mean is   \(\mu = 445 \ g\)

    The  sample size is  \(n = 12\)

    The  sample mean is  \(\= x = 442 \ g\)

     The  standard deviation is  \(\sigma = 20\)

     The  level of significance is  \(\alpha = 0.05\)

The  null hypothesis is  \(H_o : \mu = 445\)

The  alternative hypothesis  \(H_a : \mu < 445\)  (This is the original claim )

Answer:

3.777777777.... is a rational number

Step-by-step explanation:

3.777777777777777.............

Try this trick: for all (something)/9 is its repeat. Example: 7/9 = 0.77777....

so 3.777777.... is 3 7/9

So technically it is a rational number

Answer:

15.5 weeks

Step-by-step explanation:

186/12=15.5

12x15.5=186

Divide the shape into a square and a rectangle, multiply 7 by 10, and subtract 10 from 21 to get 11. then multiply 11 by 24. Lastly, add the products together and you get 334 feet squared. Have a good day my friend!

The area of the polygon is: 334 ft²

To find the area of a polygon, decompose the polygon into known shapes and find the area of each shape, then add all.

Thus:

Decomposing the polygon given, we would have rectangle 1 and rectangle 2.

Area of rectangle 1 = length × width = 7 × 10 = 70 ft²

Area of rectangle 2 = length × width = 24 × (21 - 10) = 264 ft²

Area of the polygon = 264 + 70 = 334 ft²

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Answer:

answer d) 20

Step-by-step explanation:

Because the two lines are parallel two by two, the figure is a parallelogram.

In a parallelogram the opposite corners are identical.

Given:

opposite corner1 = 130°

opposite corner2= (6a + 10)°

Because corner1 = corner2 we now have:

(6a + 10) = 130

6a + 0 = 130 -10

6a = 120

a = 20

Which is answer d).

The missing value of the probability distribution is 0.05.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

X     :   0         1           2        3        4

P(X) :   0.30   0.25   0.25   0.15     ?

A discrete probability distribution function has two characteristics:

P(X = 4) = 1 - (0.30 + 0.25 + 0.25 + 0.15)

Apply the addition operation,

P(X = 4) = 1 - 0.95

Apply the subtraction operation to get

P(X = 4) = 0.05

Therefore, the missing value of the probability distribution is 0.05.

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Option A correctly describes the area of the graph of the function.

How is an area of the graph calculated?

The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.

It is the integration of the function polynomial of the possible values of x that the function curve lies in.

Here the function equation is : \(f(x) = ( 25 - x^{2} )\)

From the figure, we can see that the value of x varies from -5 to 5.

Initial x-value of integration = minimum value of x

                                          = -5

Final x-value of integration = maximum value of x

                                          = 5

Thus, the area of the graph can be correctly calculated as. :

               \(Area = \int\limits^{maxX}_ {minX} \, f(x)dx\)

               \(Area = \int\limits^5_ {-5} \, (25-x^{2} )dx\)

Hence, Option A correctly calculates the area of the graph given.

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Answer:

the answer is 40 hope this helps you

Answer:

\(\huge\boxed{\bf\: 83 \: yd^{2}}\)

Step-by-step explanation:

Consider rectangle ABCD.

Here,

AB = DC = 9 yd (length = l)

AD = BC = 7 yd (width = w)

Area of this rectangle:

= l * b

= 9 * 7

= 63 yd²

\(\rule{150pt}{2pt}\)

Now, take rectangle DEGF.

Here,

DE = FG = 5 yd (length = l)

DF = EG = 4 yd (width = w)

Area of this rectangle:

= l * b

= 5 * 4

= 20 yd²

\(\rule{150pt}{2pt}\)

Total area of the compisite figure:

= Area of rectangle ABCD + Area of rectangle DEGF

= 63 yd² + 20 yd²

= 83 yd²

\(\rule{150pt}{2pt}\)

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. If W is a vector space because it can be expressed as W = span {v1,. . . .,vn}. So the option A is correct.

Let W be the set of all vectors

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\)

where b and d are real.

We can write the matrix as;

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]=b\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right]+d\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

Remember that if aα + bβ ∈ W, ∀ α, β ∈ W and a, b are scalers, then W is a vector space. Let,

\(\alpha=\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right],\beta=\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

These are independent vectors.

bα + dβ ∈ W. where α, β are independent vectors.

That is WE is a span of {α, β}.

Hence, W is a vector space.

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The complete question is:

Let W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. Determine if W is a vector space and check the correct answer below.

A. W is a vector space because it can be expressed as W = span {v1,. . . .,vn}.

B. W is a vector space because it contains the zero element.

C. W is not a vector space because it does not have additive closure

D. W is not a vector space because it does not have a zero element.