At which values of x does the function Fx) have a vertical asymptote? Check
all that apply.
F(x) =
2/3x(x - 1)(x + 5)
I A. -1
B. 2
C. 1
D. -5
E. 0
F. 3

Answer:

Step-by-step explanation:

base of ladder is x feet from house

top of ladder is x+1 feet from ground

By the Pythagorean Theorem,

x² + (x+1)² = 5²

x² + (x² + 2x + 1) = 25

2x² + 2x - 24 = 0

x = -4, 3

-4 is an extraneous solution, so x = 3 ft

base of ladder is 3 feet from house

top of ladder is 4 feet from ground

The work required for the given task of pumping all of the oil out over the top of the tank is 7,500 ft·lb

The known parameters;

The length of the rectangular tank, l = 4 feet

The width of the tank, w = 2 feet

The depth of the tank, h = 5 feet

The weight density of the oil with which the tank is filled, ρ × g = 50 lb/ft³

The unknown parameter

The work required to pump all of the oil out over the top of the tank

Method;

Calculate the force required to lift each slice (layer) of the oil to the top multiplied by the distance, y, the slice moves and summing the result as an integration as follows;

The volume of each slice, [tex]\mathbf{V_i}[/tex] = l × w × dy

The force required to move each slice, [tex]\mathbf{F_i}[/tex] = ρ × g × l × w × dy

The work done, [tex]\mathbf{W_i}[/tex], in moving the slice a distance, y, is given as follows;

[tex]\mathbf{W_i}[/tex] = ρ × g × l × w × y × dy

Therefore, the total work done, W, in pumping all the water located from y = 0, to y = 5, to the top of the tank, is given as follows;

[tex]\mathbf{W = \int\limits^5_0 {(\rho \times g \times l \times w \times y) } \, dy}[/tex]

Therefore;

W = (ρ × g × l × w × y²)/2

Plugging in the values, gives;

W = (50 lb/ft³ × 4 ft. × 3 ft. × (5 ft.)²)/2 = 7,500 ft·lb

The work required to pump all of the oil out over the top of the tank, W = 7,500 ft·lb.

Learn more about the use of integration to calculate the amount of work required for a given task here;

https://brainly.com/question/14318035

ABC is a right angle

Third angle 45°

Its a isoceles Right Triangle because base angles are equal then two sides are also equal.

Must click thanks and mark brainliest

Hi there!  

»»————-　★　————-««

I believe your answer is:  

(6, -4)

[tex]x = 6[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\rightarrow 6x + 7(-4) =4x + 4(-4)\\\\\rightarrow 6x - 28 = 4x - 16\\\\\rightarrow 6x - 28 + 28 = 4x - 16 + 28\\\\\rightarrow 6x = 4x + 12\\\\\rightarrow 6x - 4x = 4x - 4x + 12\\\\\rightarrow 2x = 12\\\\\rightarrow \frac{2x=12}{2}\\\\\rightarrow \boxed{x = 6}[/tex]

⸻⸻⸻⸻

The '6' would replace the question mark.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex] {(4x + 3y)}^{2} \\ = {(4x)}^{2} + 2 \times 4x + 3y + {(3y)}^{2} \\ 16 {x}^{2} + 24xy + 9 {y}^{2} \\ thank \: you[/tex]

Answer:

$89.1

Step-by-step explanation:

The original price is 99. The sale price is 99-99*(10/100)=89.1

Answer:

I think it's 3

Step-by-step explanation:

because an=4 and the question is

an-1

=4-1

=3

Answer:

The negation is the OPPOSITE of whatever is said, so in this case, the opposite of "Not all rooms at the hotel have a bed." would be D "All rooms at the hotel have a bed" and A "No room at the hotel has a bed"

The correct answers are A and D

Let me know if this helps!

Answer:

a. no because it states that no rooms have a bed when it states not all rooms at the hotel have a bed

b. yes because while its true some rooms dont have a bed other rooms will

c. yes again some rooms do have a bed and some dont

d. no because we have already established that only some rooms have beds not all

hope this helps

Step-by-step explanation:

Answer:

By 71 years of age 80% of the plan participants have passed away.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 68 years and a standard deviation of 4 years.

This means that [tex]\mu = 68, \sigma = 4[/tex]

By what age have 80% of the plan participants passed away?

By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - 68}{4}[/tex]

[tex]X - 68 = 4*0.84[/tex]

[tex]X = 71[/tex]

By 71 years of age 80% of the plan participants have passed away.

Answer:

(9,-2)

Step-by-step explanation:

5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them.  Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)

Answer:

Step-by-step explanation:

favorable events for a sum of 3 are 12,21

P(sum 3)=2/36=1/18

favorable events for a sum of 9 are 36,63,45,54

P(sum of 9)=9/36=1/4

A coefficient is a numerical value that is multiplied with a variable.

Answer:

Absolute = 13-7 = 6

if you mean relative change then it would be the multiplier of 13 / 7 = 1.85714286

as;  7 x 1.85714286 = 13

Step-by-step explanation:

The absolute change is 6 and relative change is 1.85

The size of the discrepancy between the exact value and the approximation is known as the absolute error. The absolute error is multiplied by the exact value's magnitude to get the relative error.

Given

Absolute = 13-7 = 6

if you mean relative change then it would be the multiplier of 13 / 7 = 1.85714286

as;  7 x 1.85714286 = 13

To learn more about the absolute and relative errors refer to:

https://brainly.com/question/26167540

#SPJ2

Answer:

N = x2

Step-by-step explanation:

Follpwing the format

Answer:

72

Step-by-step explanation:

l = 5w

A = l*w

180 = 5w *w

180 = 5w^2

Divide each side by 5

180/5 = 5w^2 /5

36 = w^2

Taking the square root of each side

sqrt(36) = sqrt(w)^2

6 =w

l = 5w = 5*6 = 30

The perimeter is

P = 2(l+w)

P = 2(6+30) = 2(36) = 72

Answer:

2.5 or 5/2

Step-by-step explanation:

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the lines and not by the lines themselves.

but that also means they are equal.

8x + 15 = 4x +25

4x = 10

x = 10/4 = 5/2 or 2.5

parallel lines or skew lines

Answer:

x = 55.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hypotenuse

cos x = 9/16

Taking the inverse cos of each side

cos^-1 (cos x) = cos^-1 (9/16)

x=55.77113

To the nearest tenth

x = 55.8

Answer:

Relative to x, the side of 16 is the hypotenuse, and the side of 9 is adjacent.

So we think, what trigonometric property relates hypotenuse and adjacent sides of a right triangle?

SOH CAH TOA

We can use the COSINE function to solve in this case, as we have both  the ADJACENT SIDE (A) and the HYPOTENUSE (H).

Cosine = Adjacent/Hypotenuse

Cosine (x) = 9/16

Angle x = 55.8 degrees.

Let me know if this helps!

Answer:

the answer to the question is a:-3

Lets Take two decimals 1.01 and 2.32

Addition:-

[tex]\\ \sf\longmapsto 1.01+2.32[/tex]

[tex]\\ \sf\longmapsto \dfrac{101}{100}+\dfrac{232}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{333}{100}[/tex]

[tex]\\ \sf\longmapsto 3.33[/tex]

Subtraction:-

[tex]\\ \sf\longmapsto 2.32-1.01[/tex]

[tex]\\ \sf\longmapsto \dfrac{232}{100}-\dfrac{101}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{131}{100}[/tex]

[tex]\\ \sf\longmapsto 1.31[/tex]

Multiplication:-

[tex]\\ \sf\longmapsto 1.01\times 2.32[/tex]

[tex]\\ \sf\longmapsto \dfrac{101}{100}\times \dfrac{232}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{23432}{10000}[/tex]

[tex]\\ \sf\longmapsto 2.3432[/tex]

Answer:50

Step-by-step explanation:(40x100):80

Answer: 50 workers

Let the ratio be

(40×100):80

= 400/80

= 50

Therefore 50 workers will complete the same work in 80 hours.

Must click thanks and mark brainliest

Answer:

heyy matee

we got equation

( sin Θ ) ^ 2 + ( cos Θ ) ^2 = 1

now look at beauty of ques

Θ = 180

and u must be knowing sin 180 = 0 and cos 180 = -1

so

(0)^2 + (-1)^2 = 2

and done we are done with ques

ans is option d

u must be thinking why not other values are same but this is thing we got in option d it is exact equation we got so i can give 90% guarantee

Answer:

-2.88

Step-by-step explanation:

6.36-9.24= -2.88

Answer:

3/5

Step-by-step explanation:

here,

0.6

in fraction = 6/10

in simplest form 6/ 10 both term can be divided by 2 so,

6/10 ÷2

= 3/5

Answer:

a = 4

Step-by-step explanation:

(15)(16)/ a = (3)(4)(5)

15 * 16 = 240

240/ a = (3)(4)(5)

240/a = 60

240/60 = a

a = 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Slope = 5

Step-by-step explanation:

To find the slope of a line perpendicular to a given line, take the opposite reciprocal of the given line's slope.

Ex. -1/5 ⇒ 5

Opposite = opposite sign (- ⇒ +)

Reciprocal = numerator and denominator flipped (1/5 ⇒ 5/1 = 5)

Answer:  [tex]x = \frac{7\sqrt{6}}{2}\\\\[/tex]

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

Explanation:

Focus on the upper triangle. This is a 30-60-90 triangle. The short leg is 7 and the long leg is [tex]7\sqrt{3}[/tex]. The long leg is always sqrt(3) times that of the short leg (and this only works for 30-60-90 triangles).

In short, the horizontal length is [tex]7\sqrt{3}[/tex] units long.

Now move to the lower triangle. This is a 45-45-90 triangle with congruent legs (each are x units long). We just found the hypotenuse is [tex]7\sqrt{3}[/tex]

We can use the pythagorean theorem to say the following:

[tex]a^2 + b^2 = c^2\\\\x^2 + x^2 = (7*\sqrt{3})^2\\\\2x^2 = 147\\\\x^2 = \frac{147}{2}\\\\x = \sqrt{\frac{147}{2}}\\\\x = \frac{\sqrt{147}}{\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{2}\\\\x = \frac{\sqrt{147*2}}{2}\\\\x = \frac{\sqrt{294}}{2}\\\\x = \frac{\sqrt{49*6}}{2}\\\\x = \frac{\sqrt{49}*\sqrt{6}}{2}\\\\x = \frac{7\sqrt{6}}{2}\\\\[/tex]

Answer:

3. 60° is the correct answer.

4. 8

Step-by-step explanation:

3. sum of all the sides of a quadrilateral is 360°

hence,

2h+2h+h+h=360°

6h=360°

h=360°/6

h=60°

4. Sum of interior angle of a polygon with n sides is 1080. N=8 (octagon)

Hope this helps you. Have a nice day.^_^

Answer:

3)60°

4)8 sides

Step-by-step explanation:

3) 2h+2h+h+h=360°

    6h=360°

    6h/6=360°/6

     h=60°

4)(n-2)180=1080°

  n-2=1080°/180

   n-2=6

    n=8

Answer:

B. domain {-2, 0, 2}, range {-1, 0, 1}

Step-by-step explanation:

The x values and y values as ordered pairs would be: (-2,-1), (0,0), (2,1)

The domain is the all of the values of x and the range is all the values of y.