Use graphs and tables to find the limit and identify any vertical asymptotes of the function.

limit of 1 divided by the quantity x minus 10 squared as x approaches 10

PLEASE ASNWER ASAP WITH WORK IN A TABLE PLEASE

Answer:

$7.85

Step-by-step explanation:

Per pound = 1

Ratios:

[tex]\frac{4.71}{0.6} =\frac{x}{1} \\\\0.6x=4.71\\x=7.85[/tex]

Answer:

10. Area = 72 units²

Step-by-step explanation:

10. The shape in number 10 is a trapezoid.

Area of trapezoid = ½(a + b)*h

Where,

a = 6

b = 12

h = 8

Area = ½(6 + 12) * 8

Area = ½(18)8

Area = 72 units²

Answer:

Yes because I believe my friend

Step-by-step explanation:

Answer: 2 is the y intercept

Step-by-step explanation:

Slope is rise over run and in this problem our y intercept is 2 because it is defined as the y. Negate your 9 and put it over the y intercept to make into a fraction to represent slope. This makes it y = mx + b form now.

y = - 9/2x + 2

Answer:

1. ∠CFD = 28°

2. ∠RPQ = 53°

Step-by-step explanation:

For the first one:

∠CFD and ∠DFE are angles on a straight line

Angles on a straight line add up to equal 180

That being said we can find the missing angle (∠CFD) by subtracting the given angle measure (152°) from 180

so ∠CFD = 180 - 152

180 - 152 = 28

Hence, ∠CFD = 28°

For the second one:

Complementary angles have a sum of 90°

If ∠RPQ and ∠SPR are complementary angles we can find the missing angle ( ∠RPQ in this case ) by subtract the given angle measure ( 37° ) from 90

so ∠RPQ = 90 - 37

90 - 37 = 53

Hence , ∠RPQ = 53°

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Answer:

r = 84

Step-by-step explanation:

2pir

2(3)(14)

6(14)

84

Answer:

14%

Step-by-step explanation:

Answer:

14%

Step-by-step explanation:

It is like subtraction, if you do 14 - 100 you get 86 so you took away 14 from 100 so you would get 14%

Answer:

QUESTION:

which one is it?

ANSWER:

Okay, so everyone knows that a straight angle/ full triangle equals up to the sum of 180°, right?

So you take the 180° and subtract the 51°. And you should be getting 129°.

But, since this is a right triangle all I did was subtract 51° from 90° (a right triangle). In the end, the final answer is 39°

Step-by-step explanation:

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Answer:

109

Step-by-step explanation:

Hope this helped :)

Answer: The answer is 48 degrees hope this helped

Step-by-step explanation:

Answer:

There are thousands of different combinations possible.

Step-by-step explanation:

Answer:

x = 7

z = 85

Step-by-step explanation:

For x:

8x + 39 = 95

8x = 56

x = 7

For z:

95 + 95 + z + z = 360

190 + 2z = 360

2z = 170

z = 85

Check work:

DOES 85 + 85 + 95 + 95 = 360 ? Yes. Answer is correct.

I would appreciate Brainliest, but no worries.

Answer:

x = 136

Step-by-step explanation:

This one is quite simple

The shape formed inside of the circle is a quadrilateral.

when a quadrilateral is formed inside of a circle opposite angles of the quadrilateral will add up to 180

we are given x's opposite angle so we can find x by subtracting the given angle's measure (44) from 180

so x = 180 - 44

180 - 44 = 136

hence, x = 136

Answer:

66 in

Step-by-step explanation:

Answer:

V≈1767.15cm³

Step-by-step explanation:

Using the formulas

V=43πr3

d=2r

solving for v

V=16πd3=16·π·153≈1767.14587cm³

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Answer:

2,100,000

Step-by-step explanation:

Just round

around 50%

Step-by-step explanation:

because 30 of half of 60

Answer:

$ 26.66

Step-by-step explanation:

Minus the orignal price and the sale price and then you will get the answer

Answer:

The answer to this question is:

A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

The model function for compound interest is: [tex](16000[1.001]^{12t})[/tex]

The balance after 7 years will be $17409.

Let, P = the principle amount

r = the rate of interest, compounded monthly

t = the time period

Therefore, the amount will be

[tex]= P(1 + \frac{r}{1200})^{12t}[/tex]

Given, the invested amount is $16000.

The rate of interest is 1.2%, compounded monthly.

Total duration of investment is 7 years.

Therefore, the model function of this compound interest is:

= [tex]= (16000[1 + \frac{1.2}{1200}]^{12t})\\= (16000[1 +0.001]^{12t})\\= (16000[1.001]^{12t})\\[/tex]

The amount will be

[tex]= (16000[1.001]^{12t})\\= (16000[1.001]^{84})\\= 17409[/tex]

Therefore, after 7 years, the amount will be $17409.

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J.

x represents the minutes and y shows how many gallons over that time.

The correct table for best represents the situation is shown in Table J.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A standard bathtub holds 60 gallons of water.

And, A full tub drains 12 gallons per minute.

Now, From table J;

Rate of change is,

⇒ (24 - 12) / (2 - 1)

⇒ 12 / 1

⇒ 12 gallons per minutes

Which is given in situation.

Thus, The correct table for best represents the situation is shown in Table J.

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Answer: 600 sq cm

Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.

Hope this helps!

Answer:

SA = 600

Step-by-step explanation:

A cube has six sides.

The formula to find the SA of a cube is 6a^2

6 x 10^2 = 6 x 100 = 600

Answer:

70 m and 60 m

Step-by-step explanation:

The formula for the area of a rectangle is length ⋅ width.

The area of the pasture of 4200 meters.

70 ⋅ 60 = 4200.

The formula for the perimeter of a rectangle is side + side + side + side.

The perimeter of the rectangle is 260 meters.

70 + 60 + 70 + 60 = 260.

Therefore, the length and width of this pasture are 70 meters and 60 meters.

Answer:

b

Step-by-step explanation:

Answer:

divergent

Step-by-step explanation:

just took it

Answer:

Area = 346.2yd²

Perimeter = 72.1yd

Step-by-step explanation:

AREA

Split it into three shapes: (1) the semi-circle, (2) the triangle, and (3) the rectangle. Find the area of each and then add them together for the area of the whole shape.

Area₁ = πr² = (6²)π = 36π = 113.1 yd²

Area₂ = (1/2)bh = (1/2)(11.3)(14) = 79.1 yd²

Area₃ = lw = (11)(14) = 154 yd²

154 + 79.1 + 113.1=346.2yd²

PERIMETER

The perimeter consists of the length of the curve on the semi-circle, the top , the right side, the bottom, and the slanted line.

length of the curve on the semi-circle = half the cicumference of circle with radius 6 = (2π(6))/2 = 6π = 18.8

the top = 22.3

the right side = 14

the bottom = 11

the slanted line = the hypotenuse of triangle(2) - the diameter of circle(1) = (√(11.3²+14²))-12= (√(323.69))-12=18-12=6

18.8+22.3+14+11+6=72.1yd

Using the Central Limit Theorem, it is found that the approximate standard error of the mean for a sample size of 300 is given by:

B. 0.46

It states that the sampling distribution of sample means of size n from a population with standard deviation [tex]\sigma[/tex] has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have that the parameters are [tex]\sigma = 7.89, n = 300[/tex], hence the standard error is given by:

[tex]s = \frac{7.89}{\sqrt{300}} = 0.46[/tex]

Hence option B is correct.

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