what is the value of the limit \(\lim_{x \to \5} \sqrt{x^{2}+4 }\)

Answer:

so to get the rate divide 12 by 60 ie 0.2

you can rewrite, 0.2 ie is 1/5 omelette per min.

Answer:

4 emails per minute

Step-by-step explanation:

We want a unit rate where 1 is in the denominator, so we divide the top and bottom by 5

Pi times the radius squared equals the area of a circle (A = r2).

1. C = 8π cm

2. C = 25.1 cm

3. A = 16π cm²

4. A = 50.3 cm²

Part 1.

The formula for calculating a circle's circumference is

\($C=2 \pi r$\)

where r stands for radius. In light of this, we obtain:

\($C=2 \pi(4 \mathrm{~cm})$$C=8 \pi \mathrm{cm}$\)

Part 2.

Part 2.

In order to replace = 3.14 and round the circumference to the nearest tenth,

C = 8(3.14) cm

C = 25.1 cm

Part 3.

The area of a circle can be calculated as

\($A=\pi r^2$\)

Inputting r = 4 cm results in:

A = π(4 cm)²

A = 16π cm²

Part 4.

We must replace = 3.14 in order to round to the next tenth, thus

A = 16(3.14) cm²

A = 50.3 cm²

Therefore, the answers are:

1. C = 8π cm

2. C = 25.1 cm

3. A = 16π cm²

4. A = 50.3 cm²

The complete question is:

Find the circumference and area of the circle. Express answers in terms of and then round to the nearest tenth. Part 1. Find the circumference in terms of . C = _ cmPart 2. Find the circumference rounded to the nearest tenth.C = _ cmPart 3. Find the area in terms of A = _ cm2Part 4. Find the area rounded to the nearest tenth. A = _ cm3

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Lucia has a total of 15 yards of ribbon.



If one ribbon's length is 5/6 of a yard, then 18 ribbons would be:

18 x 5/6 yards = 15 yards (using multiplication of fractions)

calculating the total length of ribbon Lucia has.

1. Lucia has 18 pieces of ribbon.
2. Each ribbon's length is 5/6 of a yard.
3. To find the total length, we'll multiply the number of ribbons (18) by the length of each ribbon (5/6 yard).

So, the calculation is: 18 ribbons × 5/6 yard/ribbon

1. Multiply the numerators: 18 × 5 = 90
2. Multiply the denominators: 1 × 6 = 6
3. Write the result as a fraction: 90/6
4. Simplify the fraction: 90/6 = 15

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Answer:

Step-by-step explanatiobxbsbsx

xbsbxs sbsbx

bxbxb xx xgsgsywubxhshs bxhx ss

bx bx sh bxsh sxhssbxhs

Answer:

D

Step-by-step explanation:

The triangles ΔHFG and ΔHKJ are congruent with each other by ASA postulates. Then the correct option is B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

In triangles ΔHFG and ΔHKJ, then the condition is given as,

∠HFG = ∠HKJ          (Given)

HF = HK                    (Given)

∠FHG = ∠JHK          (Vertically opposite angles)

The triangles ΔHFG and ΔHKJ are congruent with each other by ASA postulates. Then the correct option is B.

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Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Answer:

1000

Step-by-step explanation:

Answer:

it is important because this will be helpful for your incomes, tax, bills etc. This also will plan for other things that you might pay like savings.

Step-by-step explanation:

Answer:

12 in.

Step-by-step explanation:

Formula: a^2 + b^2 = c^2

This case: c^2 - a^2 = b^2

1) 15^2 + 9^2 = b^2

2) 225 - 81 = 144

3) \(\sqrt{144\) = 12

Answer:

- 1

Step-by-step explanation:

The average rate of change of g(x) in the close interval [ a, b ] is

\(\frac{g(b)-g(a)}{b-a}\)

Here [ a, b ] = [ 3, 6 ] , then

g(b) = g(6) = 6² - 10(6) + 19 = 36 - 60 + 19 = - 5

g(a) = g(3) = 3² - 10(3) + 19 = 9 - 30 + 19 = - 2

average rate of change = \(\frac{-5-(-2)}{6-3}\) = \(\frac{-5+2}{3}\) = \(\frac{-3}{3}\) = - 1

The dimensions of the box are 12 inches by 2 inches by 4 inches.

Let's use variables to represent the dimensions of the box:

Let h be the height of the box (in inches).

Then, the length of the box is 8 inches more than the height, so it is h + 8.

The width of the box is 2 inches less than the height, so it is h - 2.

The volume of the box is given as 96 cubic inches, so we can set up an equation:

Volume = Length × Width × Height

96 = (h + 8) × (h - 2) × h

h = 4

Height: h = 4 inches

Length: h + 8 = 12 inches

Width: h - 2 = 2 inches

Therefore, the dimensions of the box are 12 inches by 2 inches by 4 inches.

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Answer:

Visually, you should be seeing a linear graph because this problem can be represented as a linear equation: y = 150x + 2000. Graph this equation to find the answer.

Step-by-step explanation:

Answer:

m = -3/4

Step-by-step explanation:

Take any two points on a line to find the slope. Here they give you the points

(0, 5) and (4, 2).

Put these points into the slope formula.

y₂ - y₁/x₂ - x₁

2 - 5/4 - 0

-3/4

The slope of this line is -3/4.

Answer:

1.5kg

Step-by-step explanation:

The mean for the packages on day 1 will be:

= (1 + 8 + 1 + 12 + 1 + 11 + 7 + 6)/8

= 47/8

= 5.875

The mean for day 2 will be:

= (47 + 12)/8

= 59/8

= 7.375

The increase in mean:

= 7.375 - 5.875

= 1.5

The range of length of the third side can be written as 16 < x < 62

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, the range for the third side of a triangle with sides of length 23 m and 39 m can be calculated thus:

Therefore, the range for the measure of the third side is 16 < x < 62

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Answer: D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

now, that radical expression above is just the simplification of a longer expression, and that could have been many really, but off the many, this would be one that simplifies like so

\(\boxed{4\sqrt[4]{65610}~~ - ~~3\sqrt[4]{146410}} \\\\[-0.35em] ~\dotfill\\\\ 4\sqrt[4]{(6561)(10)}~~ - ~~3\sqrt[4]{(14641)(10)}\implies 4\sqrt[4]{(9^4)(10)}~~ - ~~3\sqrt[4]{(11^4)(10)} \\\\\\ 4(9)\sqrt[4]{10}~~ - ~~3(11)\sqrt[4]{10}\implies 36\sqrt[4]{10}~~ - ~~33\sqrt[4]{10}\implies 3\sqrt[4]{10}\)

Answer:

Step-by-step explanation:

There is one value 9 which is a lot less than the rest of the values.

I would the median is the best.

The perimeter of the triangle is inches 5x+12.

The perimeter is the distance around a shape's edge.

The distance encircling a shape's boundary is its perimeter.

The sides of the triangles are 4x+1, x+4 and 7 inches.

To find the perimeter of the triangle:

The formula for the perimeter of a triangle is the sum of the length of all the sides of a triangle.

That means,

the perimeter of the triangle = (4x+1) + (x+4) + 7

The perimeter of the triangle = 5x+ 12

Therefore, 5x+12 is the perimeter of the triangle is 5x+ 12.

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The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.

When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.

For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.


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The first mistake McKenna made when change the expression to standard form is in step 2.

PEMDAS in mathematics it is a order of operations that must be prioritize when involving more than one operation. PEMDAS is abbreviation for Parentheses, Exponents, Multiply, Divide, Add, Subtract.

For multiply and divide the priority is for those who come first. Also for add and subtract the priority is for those who come first. And for the rest is the priority in order Parentheses, Exponents, Multiply and Divide, Add and Subtract.

In step 2, McKenna added 3 and -5 first when McKenna should have multiplied -5 by (3a+6). Thus, the step 2 is the first time McKenna made a mistake during change the expression to standard form.

You question is incomplete, but most probably your full question was

McKenna was asked to write the following expression in standard form.

3−5(3a+6)

When writing the expression in standard from, McKenna made a mistake.

3−5(3a+6)

3+(−5)(3a+6) Step 1

−2(3a+6) Step 2

−6a+(−12) Step 3

−6a−12 Step 4

McKenna made her first mistake in

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Answer:

TQ = 24

Step-by-step explanation:

Δ RST and Δ RPQ are similar, thus ratios of corresponding sides are equal, that is

\(\frac{RS}{RP}\) = \(\frac{RT}{RQ}\) , substitute values

\(\frac{15}{35}\) = \(\frac{18}{RQ}\) ( cross- multiply )

15 RQ = 630 ( divide both sides by 15 )

RQ = 42

Then

TQ = RQ - RT = 42 - 18 = 24

Answer: y=3/4x

Step-by-step explanation:

1. Find slope using slope formula

2. Find b value by plugging a point to solve for b with

Although  MEO satellites are the most expensive to build and launch, they also have the longest orbital life of many years.

What does MEO satellite mean?

Unlike low earth orbit (LEO) and geostationary earth orbit (GEO) satellites, medium earth orbit (MEO) satellites orbit the earth at an altitude between the two.

Why would one use MEO?

GPS and other navigational apps have previously used MEO. Service providers, governmental organizations, and commercial firms can now access low-latency, high-bandwidth data communication thanks to the deployment of HTS MEO constellations.

What kind of satellites can you find in MEO?

The O3b and upcoming O3b mPOWER constellations are among the communication satellites in MEO for telecommunications and data backhaul to maritime, aviation, and remote locations.

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Answer:

18

Step-by-step explanation:

3 x( 1x2) = 6 plus...

2 x 2 x 3 =12

so 6 plus 12 is 18

Answer:

y =18

Step-by-step explanation:

y = 3 × 1 ×2 + 2 ×2× 3

y = 6 + 12

y = 18

Answer:

-19

Step-by-step explanation:

you plug -7 into x

-7 x 2= -14

-14 + -5= -19

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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