Find the next number in the pattern given below

-10, -2, 6, ____

The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation:

Answer:

Find AC+CB

Step-by-step explanation:

Answer:

Find \(AC + CB\); 10

Find AB; 10

Step-By-Step Explanation:

\(AC (3) + CB (7) = 10\)

Find AB is the same thing, just phrased differently.

Answer:

It has 49 quarters

Step-by-step explanation:

12÷0.25 + 25

12×4+ 25

Using the Empirical Rule, it is found that:

a) 2.5% of adult males are under 64 inches tall.

b) 81.5% of adult males are between 64 and 73 inches tall.

It states that, for a normally distributed random variable, approximately:

For item a, we have that 64 is two standard deviations below the mean, hence, considering the symmetry of the normal distribution:

2.5% of adult males are under 64 inches tall.

As shown by the first graph at the end of the answer.

For item b, we have that 64 is two standard deviations below the mean, while 73 is one above, hence, considering the symmetry of the normal distribution:

P = 0.5 x 95 + 0.5 x 68 = 81.5%.

As shown by the two blue sections, plus the left brown section, in the second graph.

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Answer:

D.

Step-by-step explanation:

it is right

Given that each wall is 12 feet long, the perimeter would be: Perimeter = 4 x Length of one side, Perimeter = 4 x 12 feet and Perimeter = 48 feet.

What is rectangle?

A rectangle is a geometric shape that has four sides and four right angles (90 degrees) with opposite sides being parallel and equal in length

The volume of the cardboard box can be calculated by multiplying its length, width, and height. Given that the length is 12 inches, the width is 10 inches, and the height is 4 inches, the volume would be:

Volume = Length x Width x Height

Volume = 12 inches x 10 inches x 4 inches

Volume = 480 cubic inches

So, the volume of the cardboard box is 480 cubic inches.

The length of edging required to go around a circular fountain can be calculated using the formula for circumference of a circle. The diameter of the fountain is given as 6 feet, which means the radius would be half of that, i.e., 3 feet. The circumference can be calculated as:

Circumference = 2 x π x Radius

Circumference = 2 x 3.14 x 3 feet

Circumference = 18.84 feet

So, the length of edging required to go around the circular fountain would be 18.84 feet.

The amount of lace trim required for a circular tablecloth with a radius of 1 meter can be calculated using the formula for circumference of a circle. The radius of the tablecloth is given as 1 meter, and the circumference can be calculated as:

Circumference = 2 x π x Radius

Circumference = 2 x 3.14 x 1 meter

Circumference = 6.28 meters

So, the amount of lace trim required for the circular tablecloth would be 6.28 meters.

The length of crown molding needed for a square room, where each wall is 12 feet, would be equal to the perimeter of the square room. The perimeter of a square is calculated by multiplying the length of one side by 4. Given that each wall is 12 feet long, the perimeter would be:

Perimeter = 4 x Length of one side

Perimeter = 4 x 12 feet

Perimeter = 48 feet.

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Answer:

-25

Step-by-step explanation:

= 2*(2) - 28 - 1

= 4 - 29

= -25

Given:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)

Answer:#1: 1225

#2: 1149

Step-by-step explanation:

Hope this helps! :) ❤❤❤

Answer:

"w" (and any subsequent words) was ignored because we limit queries to 32 words.

w = 0.33 so, w lies before A, B, and C.

Option A is the correct answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

Average weight.

w = Sum of all the weight / 3

w = (0.5 + 0.3 + 0.2) / 3

w = 1/3

w = 0.33

Now,

A = 3, B = 6, and C = 7 on the number line.

0.33 lies before A, B, C

Thus,

w lies before A.

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Answer:

0

Step-by-step explanation:

Answer:

root(250)

answer choice C

Step-by-step explanation:

explanation in the pic above.

Answer:

I don't understand.............

Answer:

50%

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

204/12

= 17

Answer:

17 pounds

Step-by-step explanation:

1/12 = x/204

204/12 = 17

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

The solutions to this system of conics is; x = 6 and y = -4

We are given the system of equations as;

(x - 1)² + (y + 4)² = 25    ------(eq 1)

(x - 1)²/25 + (y + 4)²/100 = 1  ------(eq 2)

From eq 1, we can make (x - 1)² the subject to get;

(x - 1)² = 25 - (y + 4)²  ----(eq 3)

Plug in eq 3 into eq 2 to get;

(25 - (y + 4)²)/25 + (y + 4)²/100 = 1

Multiply through by 100 to get;

4(25 - (y + 4)²) + (y + 4)² = 100

100 - 4(y + 4)² +  (y + 4)² = 100

Solving for y gives y = -4

Plug in -4 for y into eq 1 to get;

(x - 1)² + (-4 + 4)² = 25

√(x - 1)² = √25

x - 1 = 5

x = 6

Now, a conic section is defined as the curve which is the intersection of cone and plane. There are three primary conic sections namely parabola, hyperbola, and ellipse. Thus, the solutions are x = 6 and y = -4.

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Answer:

You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?

Step-by-step explanation:

let x=amt invested at 3% rate of interest.

22000-x=amt invested at 5% rate of interest.  

.03x+.05(22000-x)=980

.03x+1100-.05x=980

.02x=120

x=6000

22000-x=16000

amt invested at 3% rate of interest=$6,000

amt invested at 5% rate of interest=$16,000

The amount invested in the account that yields 3% interest is $21,000 and the amount invested in the account that yields 2% interest is $5000

This can be solved using simultaneous equations. Two equations can be derived from the question :

a + b = 26,000 equation 1

0.02a + 0.03b = 730 equation 2

Where

a = amount invested in the account that yields a 2% interest

b = amount invested in the account that yields a 3% interest

Multiply equation 1 by 0.02

0.02a + 0.02b = 520 equation 3

Subtract equation 3 from equation 2

0.01b = 210

Divide both sides of the equation by 0.01

b = 210 / 0.01 = 21,000

Substitute for b in equation 1

a + 21,000 = 26,000

a = 26,000 - 21,000

a = 5000

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Answer:

70% IS THE ANSWER

Step-by-step explanation:

Hope I helped.

Answer:

70%

Step-by-step explanation

0.7×100=70

Answer:

(a) 0
(b) 0
(c) 1
The function is not continous at x = 9

Step-by-step explanation:

To the left and right of the point x = 9, the graph would seem to continue at  f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous

Apologies if this is wrong its been a bit since I did calculus

Answer:

a_n = 47 - 8n

Step-by-step explanation:

a_1 = 39

a_2 = 31

a_3 = 23

31 - 39 = -8

23 - 31 = -8

This is an arithmetic sequence with constant difference -8.

a_1 = 39

a_2 = 39 - 8

a_3 = 39 - 8 - 8 = 39 - 2(8)

a_4 = 39 - 8 - 8 - 8 = 39 - 3(8)

...

a_n = 39 - (n - 1)(8)

a_n = 39 - 8(n - 1)

a_n = 39 - 8n + 8

a_n = 47 - 8n

Answer:

\(a_n=47-8n\)

Step-by-step explanation:

Given sequence:

Calculate the differences between the terms:

\(39 \underset{-8}{\longrightarrow} 31 \underset{-8}{\longrightarrow} 23\)

As the differences are constant (the same), this is an arithmetic sequence with:

\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\end{minipage}}\)

Substitute the found values of a and d into the formula to create an equation for the nth term of the sequence:

\(\implies a_n=39+(n-1)(-8)\)

\(\implies a_n=39-8n+8\)

\(\implies a_n=47-8n\)

9514 1404 393

Answer:

  c ≈ 56.3 cm

Step-by-step explanation:

I find it convenient to turn the given equations upside down. Then you just need to multiply by sin(C) to get the solution.

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (27 cm)sin(102°)/sin(28°)

  c ≈ (27 cm)(0.978/0.469)

  c ≈ 56.3 cm

Answer:

0.8 liters

Step-by-step explanation:

1l=1000 mlml=1000 ml-200ml=800ml=0.8L

Answer:

shouldn't it be 800 mL

Step-by-step explanation:

cause there are 1000mL in 1 liter

Answer:

58

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees (flat angle). So 180-72 = 108

The total surface area of the metal used to make the rubbish bin is approximately 2199 cm² to the nearest cm².

To calculate the total surface area of the metal used for the cylindrical rubbish bin, we need to find the area of the base and the lateral surface area.

The base of the cylindrical bin is a circle with a diameter of 20 cm, so its radius is 10 cm.

Therefore, the area of the base is:

Area of base = π × radius²

Area of base = π × 10²

Area of base = 100π ≈ 314.16 cm²

The lateral surface area of the cylinder can be found using the formula:

Lateral surface area = height × circumference of the base

The circumference of the base can be found using the formula:

Circumference = π × diameter

Circumference = π × 20

Circumference = 20π ≈ 62.83 cm

So, the lateral surface area of the cylinder is:

Lateral surface area = 30 × 62.83

Lateral surface area ≈ 1884.9 cm²

Therefore, the total surface area of the metal used is:

Total surface area = area of base + lateral surface area

Total surface area ≈ 314.16 + 1884.9

Total surface area ≈ 2199.06 cm²

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Note that his is solved using the principle of Combination, and there are 771, 891, 120 different ways to form the groups for the first division soccer league tournament in Mexico.

Let 's compute the number of ways to form the groups using combinations.

First group - 5 teams

C(18, 5) = 18! / (5! * (18-5)!) = 8568

Second group - 5 teams

C(13, 5) = 13! / (5! * (13-5)!) = 1,287

Third group - 4 teams

C(8, 4) = 8! / (4! * (8-4)!) = 70

Fourth group - 4 teams

C(4, 4) = 4! / (4! * (4-4)!) = 1

Now, applying the product rule

Total ways =  8568 x 1,287 x 70 x 1 = 771891120

Therefore, there are 771, 891, 120  different ways to form the groups for the first division soccer league tournament in Mexico.

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Translation

In how many ways is it possible to form the groups of the first division soccer league tournament? Let's remember that 18 teams participate in the first division of soccer in Mexico, and for the league tournament, two groups of five teams and two groups of 4 teams are formed. It is suggested that when solving it, the number of teams that have been considered for the first group be subtracted, then for the second group and so on for each group. Finally apply the product rule to find the different shapes.​

Solution

Given a rectangular pan and two round pans

The volume, V, of the rectangular pan is 234 in³

A round pan is in the form of a cylinder

To find the volume, V, of the a round pan, the formula is

Where

Substitute the variables into the formula above

Since, there are two round pans, the volume of the two round pans will be

nce, the volume of the two round pans is 201.06 i³.

Since the volume of the two round pans (201.06in³) is less than the volume of the rectangular pan (234in³), the rectangular pan will hold more.

Hence, the answer is rectangular pan (option a)

Answer:

Adding +6 in turn

Step-by-step explanation:

-13+6=(-7)

(-7)+6=(-1)

(-1)+6=5

5+6=11

11+6=17

17+6=23

23+6=29

29+6=35

........... And so on

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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