Please help me please

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

[tex]f(x)=\frac{x^2+12x+27}{x^2+4x+3}[/tex] because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

[tex]f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)}[/tex] and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?

Answer:-42 cm

Answer:42cm

Step-by-step explanation:

formula=2l+2w

2 (9)+2 (12)

18+24= 42cm

Answer:

A = 42 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 14 × 6 = 7 × 6 = 42 cm²

Answer:

7, 11, 13, 17, 19 and 23

Step-by-step explanation:

Answer:

7,11,13,17,23

hope it helps

thank you

Answer:

2

Step-by-step explanation:

14·[tex]\frac{1}{7}[/tex]=2

Answer:

2

Step-by-step explanation: 1/7th's of 14 is 2.

1/7 x 14 = 2.

Answer:

Solution given:

length [l] =6in

wide[w]=9in

height[h]=4in

we have

volume of the display box=lwh=6*9*4=216in³

the required volume is 216 cubic inches.

Answer:

a) 0.4856 = 48.56% probability that the total weight is greater than 190 lbs.

b) A total weight of 155.9 lbs.

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 188.6 lbs. and a standard deviation of 38.9 lbs.

This means that [tex]\mu = 188.6, \sigma = 38.9[/etx]

21 lbs of baggage are taken into consideration in this estimate.

a.) If one adult male is randomly selected and is assumed to be also carrying 21 lbs. due to clothing and baggage, find the probability that the total weight is greater than 190 lbs.

This is 1 subtracted by the the p-value of Z = 190. So

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

[tex]Z = \frac{190 - 188.6}{38.9}[/tex]

[tex]Z = 0.036[/tex]

[tex]Z = 0.036[/tex] has a p-value of 0.5144.

1 - 0.5144 = 0.4856.

0.4856 = 48.56% probability that the total weight is greater than 190 lbs.

b.) What total weight would separate the lower 20% of men carrying 21 lbs. of clothing and baggage from the top 80%?

This is the 20th percentile, which is X when Z has a p-value of 0.2, so X when Z = -0.84.

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

[tex]-0.84 = \frac{X - 188.6}{38.9}[/tex]

[tex]X - 188.6 = -0.84*38.9[/tex]

[tex]X = 155.9[/tex]

A total weight of 155.9 lbs.

Answer:

2 Percent or %

Step-by-step explanation:

The decimal 0.02 would be equivalent to 2 percent, or 2 per hundred.

Answer:

0.02 is 2 percent as a percent

Answer:

135º

Step-by-step explanation:

Total parts

5 + 8 + 12 + 15 = 40

Value of each part; 360º in a quadrilateral

360 / 40 = 9

Largest angle

15 * 9 = 135º

Answer:

4

Step-by-step explanation:

21 - 4 × ❒ = 5

-4x = 5 - 21

-4x = 16 (divide both sides)

x = 4

Answer:

30 and 60

Step-by-step explanation:

Let x represent the first angle

(x) the sum of the first angle plus twice of the second angle 2(90 - x)

x + 180 - 2x = 150

180 - 150 = 2x - x (we export like terms to the same side of the equation)

30 = x is the measure of the first angle and since the second angle is complementary to this the measure of the second angle is 90 - 30 = 60

9514 1404 393

Answer:

  positive

Step-by-step explanation:

When considering the slope of a line, we usually choose "rise" and "run" so that "run" is positive, and "rise" measures the vertical change as one moves from left to right.

If we assume that "downhill" lines refers to lines that go from upper left to lower right (downhill to the right), then the rise is negative while the run is positive.

__

Additional comment

Here, we assume a line is considered to be "downhill" if it has negative slope. In the real world, "downhill" is the direction the ball rolls under the influence of gravity. That direction might be behind you, or to your left, instead of in front of you or to the right.

Definitions are important in math. "Downhill" is not a term that is widely used to describe lines, so we have to guess the intended meaning here.

Answer:

Cot 0 = undefined

Sec0 = cos0 = 1

Step-by-step explanation:

According to trig identity

Cot theta = 1/sin theta

Sec theta = 1/cos theta

Hence

Cot 0 = 1/tan0

Cot 0 = 1/0

Since a/0 is undefined, hence cot 0 will be undefined

Sec 0 = 1/cos 0

Sec0 = 1/1 = 1

Cos 0 = 1

Answer:

Step-by-step explanation:

i cant see the answer

Answer:

it's toooo complicated

Answer:

A

Step-by-step explanation:

It's only slightly bigger than 90 degrees, so 110 is the only plausible conclusion

Answer:

110

Step-by-step explanation:

[tex]\huge\bf{\color{Green}{Question:}}[/tex]

[tex]\huge\bf{\color{orange}{Solution:}}[/tex]

Volume of the solid given = Volume of the small cone + Volume of the large cone.

[tex]\sf{V(solid)=V(small)+V(large)}[/tex]

[tex]\sf{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3}π(5)²7+\frac{1}{3}π(5)²11}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(7+11)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=\frac{25}{3}π(18)}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:=150π}[/tex]

[tex]\sf{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:≈{\color{magenta}{471.2 in³}}}[/tex]

#Hope it helps you, mate!

(*°∀°)=3

Answer:

Right

Step-by-step explanation:

360/4 = 90

90° is a right angle

Answer:

If you have more than one vertex they are called vertices. You can also count the number of vertices in order to identify solid figures. Let's look at an example. When you count the number of vertices in the figure above you see there are 7 vertices.

Answer:

ha ha ha... yesno

Step-by-step wrong explanation:

becoause it is the dilemma of the miniyamma

6x + x/2

Which algebraic expression best represents this word phrase?

The sum of six times a number and the quotient of that number and two

Answer:

m=9/8

Step-by-step explanation:

64m^2 -5=76

64m^2 =76+5

64m^2=81

m^2=81/64

m=[tex]\sqrt{81/64}[/tex]

m=9/8

Step-by-step explanation:

64m²-5=76

64m²-5+5=76+5

64m²=81

m²=64/81

m=

[tex] \sqrt{64/81} [/tex]

m=8/9

Answer:

-6

Step-by-step explanation:

Move the variable to the left hand side and change its sign.

5 - 2x + 4x = -7

Collect like terms.

- 2x + 4x = - 7 - 5

2x = - 7 - 5

Calculate the difference.

2x = -12

Divide both sides.

x = -6

Answer: $1260

Step-by-step explanation:

Based on the information given, Abby's gross income for the month if her sales were $12500 will be:

= $1000 + (1% × $8000) + [4% × ($12500 - $8000)]

= $1000 + (0.01 × $8000) + (0.04 × $4500)

= $1000 + $80 + $180

= $1260

Her gross income is $1260

Jonah should shade 6 parts of 10 equal parts to show 3/5.

Hope this helps! :)

Answer:

b. x^4 varies directly as y.

Step-by-step explanation:

x^4 = 7×y

x^4 is proportional to y.

Answer:

D. a line that shows only one solution to the equation

Step-by-step explanation:

I hope this helps uwu.

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

Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < x < \infty[/tex]

-----------------------------------

The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, [tex]y \ge 1[/tex] is the range which converts to the interval notation [tex][1, \infty)[/tex] which is the same as saying [tex]1 \le y < \infty[/tex]

-----------------------------------

Extra info:

The equation of this absolute value function is y = |x|+1

Answer:

-2/3 -3/5 -1/2 3/8

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