Use the definition of continuity and the properties of limits to show that the function k(x)= √8−x2 2x2−5 is continuous at x = -2

Answer:

5.5 miles

Step-by-step explanation:

If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles

Answer:

I think Angle T is 36 degree

I think it will help you

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

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Answer:225.25 or Mean

Step-by-step explanation: Put the sequence of numbers in order: 173,184,195,205,211,215,219,400

Cross of the end number each side until you have only 2 numbers:205,211

Add these numbers then divide them by 2: 205+211=416 416\2= 208

208 is the median

To find the mean is all of the numbers added together divided by the number of numbers: 173+205+195+215+219+184+211+400=1,802/8+225.25

Now compare the median:208 and the mean:225.25 to the sequence of numbers and see which one best describes the typical number of pages in the books. To do that you can subtract 173 from 400: 227

So the answer that's closest to 227 is 225.25.

I think anyway.

The mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

173, 205, 195, 215, 219, 184, 211, and 400

Arrange the data in ascending order.

173, 184, 195, 205, 211, 215, 219, 400

Here n = 8 which is an even number

For finding the median we have to calculate the average of 205 and 211

Thus, the median is 208

When all the numbers are added up and divided by the total number of numbers, the mean is obtained:

⇒ 173 + 205 + 195 + 215 + 219 + 184 + 211 + 400

⇒ 1,802

⇒ mean = 1,802/8

⇒ mean = 225.25

In order to determine which figure accurately represents the median value of 208 to the mean value of 225.25.

To achieve it, divide 400 by 173, which equals 227.

Therefore, 225.25 is the answer that is closest to 227.

Hence, the mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

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The length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

For this case, we have:

Thus, if we take:

Length of the arc = L feet, then:

[tex]L =r \times \theta = 6 \times \dfrac{\pi}{3} = 2\pi \: \rm ft \approx 6.28 \approx 6.3 \: ft[/tex]

Thus, the length of the arc which subtends a [tex]\pi/3[/tex] radians angle on a circle with 6 ft radius is given by: Option C: 6.3 feet approximately.

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Answer:

c

Step-by-step explanation:

i did it and got it right

Answer:

Hence corre ctophon is (A)

Based on the scores in the final exam, the five number summary of the class is:

The minimum is the smallest score of 60. The maximum will be the largest score of 98.

The lower quartile can be found by the formula:

= (Second score + Third score) / 2

= (65 + 78) / 2

= 71.5.

The upper quartile is:

= (Third to last score + Second to last score) / 2

= (93 + 95) / 2

= 94

The median is:

= (5th score + 6th score) / 2

= (82 + 88) / 2

= 85

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Answer:

$3

Step-by-step explanation:

You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.

15 pounds of bird seeds store B for $19.50 is $1.30 per pound.

At store A = 20 * $1.15 = $23

At store B = 20 * $1.30 = $26

So, 26 - 23 = 3

Answer:

You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Step-by-step explanation:

Given:

You can buy 10 pounds of birdseed at Store A for $11.50

10 pounds – $11.50

[tex]\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}[/tex]

1 pound – $1.15

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.15 = $23

20 pounds = $23

Your friend buys 15 pounds of birdseed at Store B for $19.50

15 pounds – $19.50

[tex]\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}[/tex]

1 pound – $1.3

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.3 = $26

20 pounds = $26

Now we compare each stores value for 20 pounds of bird seeds:

$23 < $26

The store with the better deal is: Store A

So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Answer: 78,720,000,000 quarts.

Step-by-step explanation:

32 x 2460000000 = 78,720,000,000

Answer:

9470m above the sea level.

Step-by-step explanation:

Answer:

The interest earned is $96.60

Step-by-step explanation:

Since we are working the a simple interest problem, we will use the formula

[tex]I=Prt[/tex],

Where P represents the principal, r represents the rate as a decimal, and t represents the time in years. First, we need to change the 4.6% into a decimal by dividing by 100:

[tex]4.6\div 100 = 0.046[/tex]

From our given information and our decimal rate, we have:

[tex]P=1050\\r=0.046\\t=2[/tex]

Substituting these into our equation, we get:

[tex]I=1050(0.046)(2)\\I=96.6[/tex]

We write that as $96.60 in context of the problem.

Answer:

principle (p)=RS 1,050

Rate(R)=4.6

time(T)=2years

we know that

I=P×R×I/100

=1050×4.6×2/100

=9660/100

=96.6

therefore the earned simple interest is RS.96.6

Answer:

36 ,36 30,2

Step-by-step explanation:

hope it's okay to you

Answer:

4 red marbles

Step-by-step explanation:

green marbles = 9r

red marbles = r

9r + r = 40

10r = 40

r = 4 = red marbles

Answer:

0/5 = 0

0/200 = 0

0/ (-25) = 0

Step-by-step explanation: I am sure this is it because these are rational numbers

Answer:

210 cm^3

Step-by-step explanation:

To find the volume of a regular we use the following formula:

l*w*h (l: length, w: width, h: height)

6*5*7 = 210 the volume is expressed with cm^3 so the answer is 210 cm^3

Answer: you literally said it yourself. its 36°

Step-by-step explanation:

Answer:

A) 72w

Step-by-step explanation:

Answer:

The angle is approximately [tex]45^\circ[/tex].

Step-by-step explanation:

We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.

Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:

[tex]\tan{\theta}=\frac{\text{opposite side}}{\text{adjacent side}}[/tex]

In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:

[tex]\tan{\theta}=\frac{166}{167}[/tex]

To get the angle, we need to use inverse tangent:

[tex]\theta=\tan^{-1}(\frac{166}{167})\\\theta \approx 45[/tex]

The angle is approximated [tex]45^\circ[/tex] when rounded to the nearest degree.

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

Answer:

Hey Here Is Ur Answer

Step-by-step explanation:

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2

HOPE IT HELP U

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2                  

Answer: 150 cubic feet

Step-by-step explanation:

Formula: area of base x height (length x width x height)

Volume of small rectangle: 5 x 2 x 3 = 30

Volume of large rectangle: 10 x 6 x 2 = 120

Add them together: 120 + 30 = 150

Answer:

The answer is 1.5

pls give brainliest ily<3

Answer:

11.25 kg

Explanation:

1 bag of marbles → 45 grams

250 bags → (45 *250) = 11250 grams

Conversion:

1 kg ↔ 1000 grams

So,

11250 g → (11250/1000) kg = 11.25 kg

Answer:

11.25 kg

Step-by-step explanation:

One bag of marbles = 45 g

⇒ Weight of 250 bags of marbles = 250 × 45 = 11250 g

1000 g = 1 kg

⇒ 11250 g ÷ 1000 = 11.25 kg

Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.

Using Binomial Distribution

Given:

n = 3

p = 0.75

q = 1-0.95 = 0.25

Hence:

P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³

P[≥2] = P[2] + P[3]=0.421875+0.421875

P[≥2] = P[2] + P[3]=0.84375×100

P[≥2] = P[2] + P[3]=84% (Approximately)

Inconclusion the probability that at least two plan on attending college is 84%.

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Answer:

what do you want to know about linear equation?

Answer: No

Step-by-step explanation:

If we don't know if the lines are parallel, we cannot conclude the angles are equal.

When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.

The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.

When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.

If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.

If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.

The pair of corresponding angles always lies on the same side of a transversal.

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