For the rational function f(x)=(-13x-27)/(x^(2)-4x-12), F(x)=2

Answer:

The answer is 1.

385x10^4 is equivalent to 3.85x10^6 so when the two numbers are divided the answer is 1.

The function is undefined for those values of x where the denominator is zero.

The reciprocal identity for sine, cosine, and tangent states that:

sin(x) = 1/csc(x)

cos(x) = 1/sec(x)

tan(x) = 1/cot(x)

It is important to note that csc, sec, and cot are only defined for values of x where the denominator is not equal to zero.

For example, csc(x) is defined as 1/sin(x), so it is undefined for x = kπ where k is any integer and sin(x) = 0.

Similarly, sec(x) is defined as 1/cos(x) and is undefined for x = (k+1/2)π where k is any integer and cos(x) = 0. Finally, cot(x) is defined as 1/tan(x) and is undefined for x = kπ where k is any integer and tan(x) = 0.

Therefore, the reciprocal identity for sine, cosine, and tangent is only defined for certain input values, and it is undefined for those values of x where the denominator is zero.

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The best statement that represents the OU daily's null hypothesis is OU Sooners = USC Trojans

What is statement ?

A declarative sentence that can only be true or false—neither—is referred to as a statement. A proposition may also be used to refer to a statement. There must be no uncertainty; this is crucial. A sentence can only be true or untrue, not both, in order to be considered a statement.

A meaningful group of words can be used to form a mathematical assertion, which can either be true or untrue. They are simply referred to as a statement. For example, the word "p" could stand for the phrase "ABC is an equilateral triangle." In an equilateral triangle, p thus equals ABC.

OU daily - predicts that,

the OU Sooners will have a better football season than the USC Trojans

The best represents the OU Daily's null hypothesis is,

∴ OU Sooner = USC Trojans

The null and alternative hypothesis is

Null Hypothesis :

OU Sooner = USC Trojans

Alternative Hypothesis : OU Sooner > USC Trojans

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probability that among 5 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduation is 0.9947

Probability is the possibility or chance that something will happen. Probability = how many different paths there are to success/the total number of events that might occur. A coin flip, for instance, has a 50% chance of coming up heads since there is only one method to acquire a head and there are a total of two possible outcomes (a head or tail). P(heads) = 1/2 is the formula.

P(a student finds a job by themselves) is 0.65

P(a student does not find a job by themselves) is  0.35

Identify P(at least one of five obtains a job) as 1 - P. (none of 5 find a job)

= 1 - (0.35)^5

= 1 - 0.005252

= 0.9947

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Answer:

Step-by-step explanation:

tan30 = opp/adj = x/1

x = tan30 = ⅓√3 or approximately 0.577

Answer:

645/16

Step-by-step explanation:

Answer:

The answer is 40 5/16

~hope this has helped you, have a gr8 day/night my friend!~

Step-by-step explanation:

When given two points and asked to find the equation of the line in slope-intercept form, the correct steps, the correct order is 2 , 1 , 4 , 3.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

Given that,

given two points and asked to find the equation of the line in slope-intercept form.

Find that,

what are the correct steps? Place a number next to the step to put them in order.

Explanation:

to find the equation of the line in slope intercept form form given two points.

step 1 :

find the slope.

step 2

write equation in point slope form

step 3.

pick a point form the given points , substitue it into the point slope form

step 4.

write the equation in slope intercept form by simplifying

Final Answer.

Hence , the correct order is 2 , 1 , 4 , 3.

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Answer:

0.036%

Step-by-step explanation:

Answer:

5 x 8

Step-by-step explanation:

Answer:

\(5^{8}\)

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\((5^4)^{2}\) = \(5^{4(2)}\) = \(5^{8}\)

The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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Answer:

I didn't mean to click give answer, sorry

Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

8+3=11 6-1=5 11+5=16 5/16

A) 4/7

B) 9/16

C) 4/9

Answer:

the anser is 3 for one mile and 6 for two

Step-by-step explanation:

he charges 6 2 miles so have of six is 3 so one mile is 3$ and 2 is 6 they add the extra stuff to confuse you

Answer:

I think d because it proves you will pay of your debt many time so it already involves a

Answer:

1.4 inches.

Step-by-step explanation:

Given that the length of the pool = 200 ft.

Scale factor = 1725.

As,

\(\text{Scale factor }=\frac{\text{Original length}}{\text{Scaled length}}\)

So,

\(\text{Scaled length} = \frac{\text{Original length}}{\text{Scale factor}}\)

By using the given values, we have

{Scaled length} \(= \frac{200}{1725} ft.=0.116 ft.\)

As 1 foot = 12 inch,

So, scaled length = 0.116 x 12 = 1.4 inches.

Hence, the scale length of the model = 1.4 inches.

To estimate the distance traveled on one liter of petrol, you would need to know the fuel efficiency of the car, which is usually measured in kilometers per liter (km/L) or liters per 100 kilometers (L/100 km).

Assuming that you have the fuel efficiency of the car, you can use the following formula to estimate the distance traveled on one liter of petrol:

distance per liter = fuel efficiency

For example, if the fuel efficiency of the car is 15 km/L, then the distance traveled on one liter of petrol would be:

distance per liter = 15 km/L = 15 kilometers

Therefore, the estimated distance traveled on one liter of petrol by the car with an engine size of 2.5 liters would depend on its fuel efficiency, which you would need to know in order to make an accurate estimate.

Answer:

(a); (b); (d)

Step-by-step explanation:

ΔGHK ≅ ΔMNP

(a). GH = MN

(b). KH = PN

(d). ∠G ≅ ∠ M

Answer:

D

Step-by-step explanation:

#A

How far means measurement of perimeter or length not volume

#B

Yes

#C

Tall means length not volume

#D

Here she needs area not volume

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

245

Step-by-step explanation:

if you're rounding to the nearest 100, 245 would be the only one that would round to 200. if it were 250 or above, it would round to 300, so 245 is the only one that would round to 200 because 245 is less than 250

The quadratic equation is solved and discriminant is 5, so it has two real solutions

Given data ,

The given equation is a quadratic equation in the standard form ax² + bx + c = 0, where a = 1, b = -1, and c = -1

The discriminant of a quadratic equation is given by b² - 4ac. So, the discriminant of the given equation is

(-1)² - 4(1)(-1) = 1 + 4 = 5

Since the discriminant is positive (not zero or negative), the equation has two real solutions.

Hence , its discriminant is 5, so it has two real solutions

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The inputs 4 and 8 have more than one out, the relation is not a function.

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

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Answer:

\( \sf \large{m=−3}\)

Step-by-step explanation:

Let's solve your equation step-by-step.

10=7−m

Step 1: Simplify both sides of the equation.

10=7−m

10=7+−m

10=−m+7

Step 2: Flip the equation.

−m+7=10

Step 3: Subtract 7 from both sides.

−m+7−7=10−7

−m=3

Step 4: Divide both sides by -1.

−m/−1= 3/−1

m=−3

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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The equation for the line through the point (1,2) with m = -3/4 is y = -3 / 4 x + 11  /4

The equation for the line through (-2,1) & (3,4) is y = 3 / 5x + 11 / 5

The equation of a line in slope intercept form is as follows:

y = mx + b

where

Therefore, the equation for the line through the point (1,2) with m = -3/4 is as follows:

y = - 3 / 4 x + b

2 = -3 / 4(1) + b

b = 2 + 3 / 4  = 8 + 3 /4 = 11 / 4

b = 11 / 4

Hence,

y = -3 / 4 x + 11  /4

The equation of the line that passes through (-2, 1)(3, 4)

m = 4 - 1 / 3 + 2 = 3 / 5

Therefore,

1 = 3 / 5 (-2) + b

1 + 6 / 5 = b

b = 1 + 6 / 5  = 5+6 / 5 = 11 / 5

b = 11 / 5

y = 3 / 5x + 11 / 5

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