4 is 4% of what number?

The expression "x + x + 10 + 2x - 16" is one that represents the sum of the total scores of  all three players: Erick, Mia, and Isabelle.

The expression can be broken down as:

Therefore, if one can simplify the expression, one can be able get the sum of the scores of all three players who are Erick, Mia, and Isabelle.

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Answer:

The inverse of the statement "A number that has exactly two distinct factors is prime" is:

"If a number does not have exactly two distinct factors, then the number is not prime."

Therefore, the correct option is:

O If a number does not have exactly two distinct factors, then the number is not prime.

Step-by-step explanation:

The inverse of the statement "A number that has exactly two distinct factors is prime" is:

"If a number does not have exactly two distinct factors, then the number is not prime."

Therefore, the correct option is:

O If a number does not have exactly two distinct factors, then the number is not prime.

19.) When 18.93 is multiplied by 10² the decimal point will be moved by two places to the right. That is option A.

20.) The figure that is a regular polygon = option B.

21.) The equation that can be used to find the difference between the two fractions given would be = 4/10-1/10 = 3/10. That is option B.

22.) The volume of the cube =

320cm. That is option D.

For 19.)

When a figure with a decimal point is multiplied by multiples of 10 such as 100 (10²) or 1000(10³).

When 18.93 is multiplied by 10²(100) = 1893. Therefore the decimal point moved by 2 places to the right.

For 20.)

A regular polygon is defined as a type of polygon that has its sides and interior angles equal and the type of regular polygon that is given in the diagram above is a regular pentagon.

For 21.)

2/5- 1/10

Find the lowest common multiple of 5 and 10 = 10

= 4 - 1/10

= 3/10

For 22.)

The formula that can be used to determine the volume of the cube would be = length÷width÷height.

For the smaller cube = 4×7×5 = 140

For the bigger cube = 5×9×4 = 180

The total volume = 140+180 = 320cm

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Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

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Answer:

Yes

Step-by-step explanation:

A quadrilateral can have 2 right angles only if it is a trapezoid.  A trapezoid is a quadrilateral with one pair parallel sides.  Picture a trapezoid like this with top and bottom sides being parallel (sorry, Brainly doesn't support drawing tools and won't let you paste in images):

_____

|           \

|_____  \

The correct option is the second one, the interval in which the function is decreasing is [-5, 0]

To identify in which intervals the function is decreasing, we need to find when the function is (when reading from left to right) going downwards.

And trivially, the function is increasing if it goes upwards (again, when reading from left to right).

Here we can see that the intervals in which the function is decreasing are:

[-5, 0] and [2, 4]

The only of thes that appears in the options is the first one, so that is the correct option.

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Amy spent $21 on school supplies.

The correct answer is option C, $21.

To determine how much Amy spent on school supplies, we first need to calculate the fraction of her total money that was spent on school supplies. It is given that Amy spent 1/6 of her money on school supplies.

We are also given that Amy spent a total of $126 at the store. So, to find the amount spent on school supplies, we need to find 1/6 of $126.

To calculate 1/6 of a value, we can multiply the value by the fraction 1/6. In this case, we have:

(1/6) x $126 = $21

Therefore, Amy spent $21 on school supplies.

The correct answer is option C, $21. This means that out of the total $126 spent, $21 was allocated to school supplies.

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Answer:

56 inches

Step-by-step explanation:

The aspect ratio of a TV in elementary terms is width/height expressed as a ratio. A 4:3 aspect ratio means that the width:height is 4:3

The size of a TV is the diagonal measure of the TV

For the given TV we are given that the size is 70 inches. This means the diagonal is 70 inches in length

If we let W = width and H = height of TV
Aspect ratio 4:3 means W/H = 4/3

H = 3W/4  (height:width = 3:4)

The diagonal D can be calculated from the width and length of the TV using the Pythagorean theorem

D² = W² + H²

Substitute H = 3W/4

D² = W² + (3W/4)²
D² = W² + 9W²/16
D² = (16W² + 9W²)/16
D² = 25W²/16

D = √(25W²/16) = 5W/4
W= 4D/5

Given D = 70 inches
W = (4 x 70)/5
W = 280/5
W = 56 inches

The probability of picking a rabbit that is a female which has short hair is 2/5. The two-way table is attached.

To solve this problem using the conditional probability formula:

P(A|B) = P(A and B) / P(B)

In this case, A is the event that the rabbit is female and B is the event that the rabbit has short hair.

P(A and B) = 8/45 because there are 8 female rabbits with short hair out of a total of 45 rabbits.

P(B) = 20/45 because there are 20 rabbits with short hair out of a total of 45 rabbits.

Therefore, the probability that a rabbit chosen at random is female with short hair is:

P(A|B) = (8/45) / (20/45) = 8/20 = 2/5

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Answer:

Step-by-step explanation:

The function in function notation with the name "h" is,

⇒ h (W) = 5W + 2

We have to given that;

Function is,

⇒ y = 5W + 2

Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We know that,

Function notation is defined as,  When a function is expressed as an equation, it is often written as "f(x)''.

Here, Function is,

⇒ y = 5W + 2

Hence, We can write in function notation as;

⇒ h (W) = 5W + 2

Thus, The function in function notation with the name "h" is,

⇒ h (W) = 5W + 2

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The vertices of triangle P' Q ' R' , given the 90 degrees counterclockwise rotation about the origin is :

P' = (1, -2)

Q' = (-2, 1)

R' = (2, 2)

A 90 degree counterclockwise rotation about the origin can be performed by switching the x- and y-coordinates of each point and then negating the new x - coordinate.

This is :

( , ) → ( − , )

This means that P with vertices ( -2, - 1 ) would then become ( 1, - 2 ).

Q with  (1, 2) would then become (-2, 1)

And R would go from ( 2, - 2 ) to ( 2, 2 )

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To test penalties' effect on a team's wins, analyze the data and calculate the correlation coefficient. Penalties and wins may be correlated, but one does not necessarily cause the other.

Other factors like team skill and strategy may influence penalties and wins.

The new questions using mathematics are

Is there a relationship between the gravity of penalties assessed against a football team (penalty yards) and their total points scored in a season?

Does the number of fouls committed by a basketball team in a season influence their shooting percentage?

By  using the available data, one can conduct a statistical analysis to establish a potential correlation between the total number of penalties a team has accumulated throughout a season and their overall number of wins.

Although there is a correlation between fines and victories, it does not imply that one is the direct cause of the other. It is possible that there are other contributing elements, such as team abilities, tactics, etc.

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Answer:

Below

Step-by-step explanation:

a. rate of drinks = 210/13 milliliters per second

b. 17.02 seconds

Answer: B

Step-by-step explanation:

a. Dividend is given to shareholder's while bonus are given from profit made in the revenue.

b. The shareholder's received a dividend of Rs. 10 per share

c. The bank shared 15% of it's profit.

(a) A dividend is a payment made to shareholders from a company's earnings. Employees may receive financial compensation in the form of bonuses in addition to their base pay. Bonuses are paid from a company's revenue, whereas dividends are paid from its profits. While bonuses are often given out on an annual basis, dividends are typically paid out weekly or annually. All stockholders receive dividend payments, however most employees only receive bonuses when they meet predetermined performance standards.

(b) The bank distributed 15% of its profit to the shareholders, which is equal to Rs. 6,00,00,000. This means that each shareholder received a dividend of Rs. 10 per share. Virochan has 1,580 shares, so he received a dividend of Rs. 15,800.

(c) The bank distributed 15% of its profit as dividend, which is equal to 15/100 = 0.15 = 15%.

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Answer:for 14 C and for 15 1/34

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the area and volume ratios when two figures have a similarity ratio of 2 : 7.

The ratio of areas is the square of the similarity ratio:

  2² : 7² = 4 : 49

The ratio of volumes is the cube of the similarity ratio:

  2³ : 7³ = 8 : 343

__

Additional comment

It can help to think about the units of area and volume. For linear dimensions in inches, area dimensions are in square inches, and volume dimensions are cubic inches. Any ratio of inches will be squared when those inch dimensions are used for area, and will be cubed when volume is computed.

  side length of a square or cube: smaller: 2", larger: 7"

  area of the square: smaller: 2² in², larger: 7² in² or 4 in² and 49 in²

  volume of the cube: smaller: 2³ in³, larger: 7³ in³ or 8 in³ and 343 in³

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It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Answer:

30-3-21¬6

30-3_21¬6

30-3-21¬6

The domain of the quadratic graph is (a) the set of all real numbers

From the question, we have the following parameters that can be used in our computation:

The graph

The equation of the graph is a quadratic function

The rule of an quadratic function is that

The domain is the set of all real numbers

This means that the input value can take all real values

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There is a 95% confident that the true population mean annual earnings of college students lies within the interval ($2657, $3583).

To construct a 95% confidence interval for the population mean, μ, use the following formula:

CI = x ± t × s / √n

where:

x = sample mean

t = t-statistic for the desired confidence level and degrees of freedom

s = sample standard deviation

n = sample size

In this case:

x = $3120

s = $677

n = 20

The t-statistic for a 95% confidence level and 19° of freedom is 1.96.

Therefore, the 95% confidence interval for the population mean is:

CI = $3120 ± 1.96 × $677 / √20

CI = ($2657, $3583)

This means that there is a 95% confident that the true population mean annual earnings of college students lies within the interval ($2657, $3583).

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The tables that represent the values of a function are

A. Input (x) 1 2 3 4

    Output (y) 12 15 18 21

B. Input (x) 1 7 7 −8

    Output (y) 22 −30 18 2

C.  Input (x) 1 1 1 1

     Output (y) −2 −5 −12 1

The values that represent a function are those that apply the same rule with both the input and output values. This means that there should be a relationship between the input and output values as they follow a consistent rule.

The values in the selected list follow a consistent rule thus, we can classify them as representative of functions.

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Answer:

Step-by-step explanation:

The formula "(u1,..., un)" is a tuple, which is an ordered list of elements. In this case, the elements are u1, u2, ..., un.

A tuple can be used to represent a set of data, such as the names of people, the scores of students on a test, or the coordinates of points on a graph.

In the context of the quote provided, the formula "(u1,..., un)" is used to represent a set of variables that are all free variables in the formula. A free variable is a variable that is not bound by a quantifier. In this case, the quantifiers are the existential quantifiers "Є".

A sentence is a formula that does not have any free variables. In this case, the sentence is the formula that is obtained by replacing the tuple "(u1,..., un)" with a specific set of values for the variables u1, u2, ..., un.

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The graph shows that Rose's savings account balance increases by $20 each month.

The balance of her account after m months is 20m dollars. We want to find an inequality that shows when 20m>160, or when m>8.

Therefore, the inequality that shows when Rose will have more than 160 dollars in her savings account is m>8.

Here is a table of values that shows that Rose will have more than 160 dollars in her savings account after 8 months:

Month | Balance

------- | --------

1 | 20

2 | 40

3 | 60

4 | 80

5 | 100

6 | 120

7 | 140

8 | 160

In conclusion, the graph shows that Rose's savings account balance increases by $20 each month.

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The matched form of the expressions are:

(x - 8)² → x² - 16x + 64

(x + 6) (x - 6) → x² - 36

(2x - 5) (2x + 5) → 4x² - 25

(3x + 1)² → 9x² + 6x + 1

(x + 4)² → x² + 8x + 16

Let's go through each expression and expand them:

(x - 8)²:

To expand this expression, we can use the formula (a - b)² = a² - 2ab + b². In this case, a = x and b = 8.

Expanding (x - 8)², we get:

(x - 8)² = x² - 2(x)(8) + 8²

= x² - 16x + 64

(x + 6) (x - 6):

To expand this expression, we can use the distributive property. Multiply each term in the first set of parentheses (x + 6) by each term in the second set of parentheses (x - 6):

(x + 6) (x - 6) = x(x) + x(-6) + 6(x) + 6(-6)

= x² - 6x + 6x - 36

= x² - 36

(2x - 5) (2x + 5):

Again, we use the distributive property to expand the expression:

(2x - 5) (2x + 5) = (2x)(2x) + (2x)(5) + (-5)(2x) + (-5)(5)

= 4x² + 10x - 10x - 25

= 4x² - 25

(3x + 1)²:

To expand this expression, we can use the formula (a + b)² = a² + 2ab + b². In this case, a = 3x and b = 1.

Expanding (3x + 1)², we get:

(3x + 1)² = (3x)² + 2(3x)(1) + 1²

= 9x² + 6x + 1

(x + 4)²:

Using the formula (a + b)² = a² + 2ab + b², where a = x and b = 4:

(x + 4)² = (x)² + 2(x)(4) + 4²

= x² + 8x + 16

These are the expanded forms of the given expressions.

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