3. Write the following using exponential notation:
(5.
5.5.5.5.5.5.5.5.5) (7.7.7.7.7.7.7.7.7.7.7.7.7.7)

Answer:

5.74

Step-by-step explanation:

fx=5(x+4)-6

f(19)=5(19+4)-6

19f=5(23)-6

19f=115-6

19f=109

f=109÷19

f=5.74 or 19 14/19

Answer:

B and C

Step-by-step explanation: Add all the cubes together to get the volume.

Answer:

According to the Central Limit Theorem, the sampling distribution of sample means would have a mean of 5.4 years.

Step-by-step explanation:

For a normally distributed random variable X, with mean and standard deviation, the sampling distribution of sample means with size n can be approximated to a normal distribution with mean and standard deviation.

As long as n is at least 30, the Central Limit Theorem can also be applied to skewed variables.

We have the following problem:

Answer:

Step-by-step explanation:

The mean of the sampling distribution of sample means can be calculated using the formula:

μM = μ

where μ is the population mean and M is the sample mean.

Thus, μM = μ = 5.4 years.

Therefore, the mean of the sampling distribution of sample means would also be 5.4 years.

Answer:

y = -¼x + (-6)

Step-by-step explanation:

I was summoned?

The measure of a central angle of a decagon is 36 degrees.

the 1/2 central angle = 18 degrees

Apothem ≈ 16.93

Area of the decagon ≈ 931.15

The figure has ten sides hence a decagon

To find the measure of a central angle of a decagon, we need to use the formula:

Central angle = 360 degrees / number of sides

Substituting the value for a decagon, we get:

Central angle = 360 degrees / 10 sides

Central angle = 36 degrees

To find the 1/2 central angle, we simply divide the central angle by 2:

1/2 central angle = 36 degrees / 2

1/2 central angle = 18 degrees

To find the apothem, we use the formula:

Apothem = (Side length) / (2 x tan(180 / number of sides))

Substituting the given values, we get:

Apothem = (11) / (2 x tan(18 degrees))

Apothem ≈ 16.93

To find the area of the decagon, we first need to find the perimeter using the formula:

Perimeter = (Number of sides) x (Side length)

Perimeter = 10 x 11

Perimeter = 110

Now, we can use the formula for the area:

Area = (1/2) x Apothem x Perimeter

Area = (1/2) x 16.93 x 110

Area ≈ 931.15

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In total, the number of greetings will be 1159.

Mathematical symbols used to represent quantities or values include numbers. They are employed in the measurement, comparison, addition, subtraction, multiplication, and division processes in mathematics. According to their qualities and properties, numbers can be categorized into a variety of groups, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers. There are specific properties and guidelines for mathematical operations for each group of numbers. Mathematics depends on numbers, which are also utilized in many other disciplines, including science, engineering, economics, and statistics.

The number of greetings exchanged between the host and the other mothers and daughters must be counted first. Since there is only one host, the number of mother-daughter pairs is 20 - 1 = 19. There are thus a total of 38 greetings, 19 between the host and the other moms, and 19 between the host and the other daughters.

The number of pleasantries exchanged between the guest mums and everyone else must next be tallied. The host, the other mothers, and the daughters must all be greeted, making a total of 20 - 1 = 19 guest mothers. Thus, each host mother must extend 1 + 19 + 20 = 40 greetings. There will be 760 greetings exchanged between the guest mothers and everyone, or 19 x 40.

The number of pleasantries exchanged between the mothers and the invited girls must also be tallied. Moreover, there are 20 guest girls, so 19 of them must welcome the mothers. As a result, there will be 361 pleasantries exchanged between the mothers and the guest daughters.

In total, the number of greetings will be 38 + 760 + 361 = 1159.

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Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

All the choices except Trapezoid are correct.

Answer:

B

Step-by-step explanation:

Got it right on the exam

Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.

An interval is a number or range of values ​​between two endpoints. 

The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.

The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.

The square bracket indicates that the endpoint 0 is included in the interval.

The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.

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Answer:

-2x - 6

Step-by-step explanation:

I used a calculator :)

The answer is number 3

-2x-6

Hope this helps

The height of domino #7 is approximately 6.89 cm tall.

The formula for the nth term of a geometric progression is:

\(a_n = a * r^(^n^-^1^)\)

where:

a is the first term (the height of the smallest domino, 4.00 cm),

r is the common ratio (the growth rate, 1.12), and

n is the term number (for domino #7, n = 7 + 1 = 8, because the sequence starts with domino #0).

Let's plug these values into the formula:

\(a_8 = 4.00 cm * (1.12)^7\)

(Note that we're using 7, not 8, because the first domino is #0, not #1.)

Now, compute the value:

\(a_8 = 4.00 cm * (1.12)^7\)

=  6.89 cm

So, domino #7 is approximately 6.89 cm tall.

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Answer:

x=15

Step-by-step explanation:

you multiply each given number then simplify

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer:

The right graph (the one on your right side)

Step-by-step explanation:

The major difference is on the left graph it says 6 pieces of data between 21-30 and the right graph says 3 pieces between 21-30. There are actually 3 pieces of data between 21-30 so the right graph is correct.

The surface area of the cube given in the above diagram would be = 1922.46 in².

To calculate the surface area of the cube, the formula that should be used would be given below as follows:

Surface area of cube = 6(a)²

a = side length= 17.9

SA=6(17.9)²

= 6×320.41

= 1,922.46 in²

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Answer:

the answer to the problem is h=7

Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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The probability the letter Julianna draws is NOT the letter A is 0.75

Julianna wrote each of the 8 letters in her name on same-sized pieces of paper, so there are 8 possible outcomes when she randomly draws one paper from the bag.

Out of the 8 letters, two letter is A.

So, the probability of drawing the letter A is 2/8 = 1/4

The probability of not drawing the letter A is the complement of this probability, which is:

1 - 1/4 = 3/4

This gives

1 - 1/4 = 0.75

Therefore, the probability, in decimal form, that the letter on the paper Julianna draws is not the letter A is 0.75

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Answer:

z is greater or equal than 1

Step-by-step explanation:

28-28z<=0

28<=28z

z>=1

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer:

The second choice

Step-by-step explanation:

Because 600 *10= 6000

Answer:

first 6 is 10 times the value of the second

Step-by-step explanation:

600 x 10 = 6000

Answer:

260 Meters Below the Surface

Step-by-step explanation:

"Dove 450 meters" = - 450

"Climbed 270 meters" = +270

"Dove 80 meters more" = - 80

-450+270-80

-180-80

-180+(-80)

-260 or 260 Meters Below the Surface

Answer:

the difference is -46 degrees

Step-by-step explanation:

Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

An algebraic expression must be checked via replacing each variable with a number and performing arithmetic operations. In the example above, the answer variable is comparable to 6, since 6 + 6 equal 12. If we know the values of the variables, we can replace them with those values and evaluate the expression.

Here,

Given : 0.0912 in scientific notation

=> 9.12 /100

By using scientific notation

=> 9.12 × 10^-2

=> 9.12 x 10 ^-2

So, we get 9.12 x 10 ^-2 as the scientific notation for the given expression

Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

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The expression \(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8\) contains mixed numbers, and the equivalent expression of \(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8\) is \(\dfrac{124}{5}\)

The expression is given as:

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8\)

Rewrite the fractions as improper numbers

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + \left(\dfrac{32}{10} - \dfrac{6}{5}\right)8\)

Express 6/5 as 12/10

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + \left(\dfrac{32}{10} - \dfrac{12}{10}\right)8\)

Solve the expression in the bracket

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + \left(2 \right)8\)

Open the bracket

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + 16\)

Express 16 as 80/5

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + \dfrac{80}{5}\)

Add the fractions

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{124}{5}\)

Express as mixed numbers

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =24\dfrac{4}{5}\)

Hence, the equivalent expression of \(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8\) is \(\dfrac{124}{5}\)

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The height of the building, using similar triangles, is given by:

36 feet.

Similar triangles are two triangles that share these two features, which are listed as follows:

The second bullet point, regarding proportional side lengths, is especially relevant in the context of this problem, as a proportional relationship is built to find the height h of the building.

From the similar triangles, the equivalent side lengths are presented as follows:

Hence the proportional relationship that models this situation is presented as follows:

3/18 = 6/h.

Applying cross multiplication, the height of the building is obtained as follows:

3h = 18 x 6

h = 6 x 6 (simplifying by 3)

h = 36 feet.

The diagram is given by the image shown at the end of the answer.

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The amount of volume of 1 coin in the stack underneath is 0.433 cm³. The distance between the coins is 1 in, and each coin having a radius approximately 0.5 in. 7 inches make up the tilt.

Any three-dimensional solid's volume is the area it takes up. The volume of these solids include cubes, cuboids, cones, cylinders, and spheres. Different shapes have different volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylindrical objects, cones, and and more.

V= πD²×h/4

  =π0.5²×7/4

   = 0.433 cm³

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