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2 years ago

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A rational function can have infinitely many x-values at which it is not continuous. True or False. If false, explain

1 answer:

sattari [20]2 years ago

3 0

<span>It is false since the rational function is discontinuous when the denominator is zero. But the denominator is a polynomial and a polynomial has only finitely many zeros. So the discontinuity points of a rational function is finite. </span>

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8o when staring at the top of the stat

Lyrx [107]

Answer:

$h=50.25\ ft$

Step-by-step explanation:

<u>Right Triangles </u>

In a right triangle, one of the internal angles is 90°. When this happens, there is always a longer side, called hypotenuse and two shorter sides, called legs. They relate to Pythagoras's theorem. The basic trigonometric relations also stand, including

$\displaystyle tan\alpha=\frac{a}{c}$

where a is the opposite leg to $\alpha$ and c is its adjacent led .

In our problem, we have a statue being looked by a person in such a way that the top of the statue forms an angle of 8° with the horizontal and the base of the statue forms an angle of 14° down. We also know the distance from the person to the statue is 50 ft. The situation is shown in the image below.

The height of the statue is h=a+b, where

$a=50tan8^o$

$b=50tan14^o$

Thus

$h=50tan8^o+50tan14^o$

$h=50(tan8^o+tan14^o)$

$\boxed{h=50.25\ ft}$

5 0

2 years ago

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amoun

Inessa [10]

Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

Length=7 meters

Area of the square garden= 7 meters × 7 meters

=49 square meters

5 0

2 years ago

Lakya is using the Distributive Property to divide 128 by 4. Which does not show a

Gre4nikov [31]

Answer:

Step-by-step explanation:

5 0

2 years ago

A gene can be either type A or type B, and it can be either dominant or recessive. If the gene is type B, then there is a probab

WARRIOR [948]

Answer: The probability that a gene is of type A is 0.29.

Step-by-step explanation:

Let A be the event of type A.

Let B be the event of type B.

Let D be the event of dominant.

So, P(B and D) = 0.22

P(D|B)=0.31

So, Using the conditional probability, we get that

$P(B|D)=\dfrac{P(B\cap D)}{P(B)}\\\\0.31=\dfrac{0.22}{P(B)}\\\\P(B)=\dfrac{0.22}{0.31}=0.71$

So, the probability that a gene is of type A is given by

$P(A)=1-P(B)=1-0.71=0.29$

Hence, the probability that a gene is of type A is 0.29.

8 0

2 years ago

Read 2 more answers

The steps below show the work of a student used to calculate the number of yards in 804.5 meters.

Butoxors [25]

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

<u>1,609 meter </u> x <u> 1 mile </u> = 2 miles

804.5 meters

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles x <u> 1,760 yards </u> = 3,520 yards

1 mile

no need of step 3. the conversion below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

3 0

2 years ago