Which point is a solution to the inequality shown in this graph?
(0,4)
(-3,0)

Answer:

Step-by-step explanation:

Your answer looks correct.

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

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Answer:

A) 1/4=X/64

Step-by-step explanation:

It's 1 person every 4 square feet on the floor area so 1/4 would represent that and since we don't know the number of people that fit on 64 square feet on the floor area it would be x/64.

Hope that helps!

Answer:

5

Step-by-step explanation:

You just multiply the indices by the power so 1/6 x 6 = 1 and 5 to the power of 1 is just 5.

Optionally you can replace 0.25 with the fraction 1/4

===================================================

Explanation:

The variable y varies directly with x, which means we have the template of y = kx for some constant k.

Plug in x = 8 and y = 2. Then solve for k

y = kx

2 = k*8

8k = 2

k = 2/8

k = 1/4

k = 0.25

Therefore, we go from y = kx to y = 0.25x

-------------

Check:

Plugging in x = 8 should get us to y = 2

y = 0.25x

y = 0.25*8

y = 2

The answer is confirmed.

One real-life situation where the median and the interquartile range are likely the best measures of center and variation to describe the data is in income distribution analysis.

Income distribution is often highly skewed, with a few high-income earners at one end and a larger number of lower-income earners at the other end. In such cases, the mean can be heavily influenced by extreme values, such as a small number of very high incomes, leading to a distorted representation of the typical income level.

The median, on the other hand, is not affected by extreme values and represents the middle value of the income distribution. It provides a more accurate measure of the central tendency of the data, representing the income level that separates the higher half from the lower half of the population.

The interquartile range (IQR) is a measure of dispersion that captures the spread of the middle 50% of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1).

The IQR is less sensitive to extreme values and outliers than the range or standard deviation, making it a robust measure of variability. In income distribution analysis, the IQR can provide insights into the income gap between the middle-income earners, which may be more representative of the majority of the population.

By using the median and the interquartile range in income distribution analysis, we can obtain a more accurate understanding of the central tendency and variation in income levels, without being overly influenced by extreme values that can skew the mean and other measures of dispersion.

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Answer:

24:
6 of 4
or

8 of 3

Step-by-step explanation:

6x4=24
8x3=24

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

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Parallelogram have two pairs of opposite sides that are parallel and congruent.

In a parallelogram, two pairs of opposite sides are parallel and congruent. A parallelogram is a quadrilateral with opposite sides that are parallel and congruent. Therefore, any pair of opposite sides in a parallelogram satisfies the criteria of being both parallel and congruent.

For example, let's consider a parallelogram ABCD:

These two pairs of opposite sides, AB and CD, and AD and BC, are parallel (they never intersect) and congruent (they have the same length).

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Answer:

length= 12 width=6

Step-by-step explanation:

when adding perimeter you add the length and width twice each so divide 36 by two and get 18

if the length is twice the width then you could make the equation w+2w=18

by adding like terms you get 3w=18

to get n by itself you divide 18 by 3 and get w=6

if the width is 6 and the length is twice that then the length is 12

Answer:

A=72

Step-by-step explanation:

The length of a rectangle is TWICE it's width meaning 2 times. (Note that L= length, W=width, and A=Area)

L=2w

4w+2w=36

6w=36 <- ( 6 is width)

then

2x6=12

Then

12x6=72

So the area of the rectangle is 72.

Hope that makes sense!

Answer:

279

Step-by-step explanation:

"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

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The height of cell phone tower is 135 feet.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

We have A cell phone tower casts a shadow that is 100 feet long.

At the same time, Lia stands near the tower and casts a shadow that is 3 feet 4 inches long.

so, the Height of the tower will be

height of tower/ length of Shadow of tower = height of Lia/ shadow's height

h/ 100 = 4ft 6 inch / 3ft 4 inch

h/ 100 = 4 1/2 / 3 1/3

h/100 = 9/2 x 3/10

h/100 = 27/50

h= 135 feet

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Answer:

20.5 hours

Step-by-step explanation:

143.50/7=20.5

Hope this helps and can I have brainliest!

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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Step-by-step explanation:

points on the line: (4, -2) & (-5, 3)

gradient of the line = -5/9

general equation for all straight lines: y = mx + c

substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c

therefore, c = 2/9

so the general equation is y = (-5/9)x + 2/9

The equation of a line has the form:

where m is the slope and b is the y-intercept so:

6) The equation is:

slope: -0.5

y-intercept: 2.5

5) the equation is.

Slope: 2

y-intercept: -3

9514 1404 393

Answer:

  4 square inches

Step-by-step explanation:

The only triangle in the figure is 4 in wide and 2 in high. Using these values in the given formula, we find the area to be ...

  A = 1/2bh

  A = (1/2)(4 in)(2 in) = 4 in²

The area of the triangle is 4 square inches.

Answer:

4 sq in

Step-by-step explanation:

the height of the triangle is 2 inches  2 x 4 = 8   8/2 =4

\(\frac{2}{5}\) ÷ 4 = \(\frac{2}{5}\) ÷ \(\frac{4}{1}\) = \(\frac{2}{20} =\frac{1}{10}\)

\(\frac{6}{7}\) ÷ 3 = \(\frac{6}{7}\) ÷ \(\frac{3}{1}\) = \(\frac{6}{21}=\frac{2}{7}\)

\(\frac{1}{8}\) ÷ 9 = \(\frac{1}{8}\) ÷ \(\frac{9}{1}\) = \(\frac{1}{72}\)

\(\frac{5}{6}\) ÷ 5 = \(\frac{5}{6}\) ÷ \(\frac{5}{1}\) = \(\frac{5}{30} =\frac{1}{6}\)

Answer:

5/9 of the marbles are red

Step-by-step explanation:

Of the 45 marbles, 20 are black, and the other 25 are red. So 25/45, or 5/9, of the marbles are red.

Answer:

Mean = 2.40

Standard deviation = 1.356

Step-by-step explanation:

Given the data:

X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total

P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00

The mean [E(X)]

Σx*p(x)

(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4

The standard deviation :

Std(x) = sqrt[VAR(x)]

Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2

Var(X) = 7.6 - 5.76 = 1.84

Std(X) = sqrt(1.84) = 1.356 (3 decimal places)

The correct calculation of the average is given as 0.2546

The average is a measure of central tendency that represents the typical value in a set of data. It is also known as the arithmetic mean and is calculated by adding up all the values in a set of data and then dividing the sum by the total number of values in the set.

The calculation of the average would be gotten by the number of hits / by the total bats that he had

This is given as

151 / 593

= 0.2546

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Answer: 186 cubic in

Step-by-step explanation:

Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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Answer:

X = 20.25°

Step-by-step explanation:

Interior angle of the same side are suplementery which means their sum is equal to 180° .

So 38° +( 8x - 26°) = 180°

12° + 8x = 180° .... Simplify 38 and 26

8x = 180°- 12° .... taking 12 to the left side it

change the sighn to -ve

8x = 162° .... simplify

8x/8 = 162°/8 .... dividing both side 8

x = 20.25°

Both calculations from part (1) and part (2) yield the same result of $0.86 for the new cost of the candy bar after 11 years.

Part 1 of 2:

The new cost of the candy bar after 11 years can be calculated by applying a 3% price increase each year to the original cost of $0.60.

To calculate the new cost after 11 years, we can use the formula:

New Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

New Cost = $0.60 * (1 + 3%)^11

        ≈ $0.60 * (1 + 0.03)^11

        ≈ $0.60 * (1.03)^11

        ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the new cost of the candy bar after 11 years is $0.86.

Part 2 of 2:

If the cost of the candy bar increased by 3% of the original cost each year for 11 years, we can calculate the final cost by multiplying the original cost by (1 + 3%) for each year.

Using the formula:

Final Cost = Original Cost * (1 + Percentage Increase)^Number of Years

Plugging in the values:

Final Cost = $0.60 * (1 + 3%)^11

          ≈ $0.60 * (1 + 0.03)^11

          ≈ $0.60 * (1.03)^11

          ≈ $0.60 * 1.432364654

Rounding to the nearest cent, the final cost would also be $0.86.

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Note: The complete question is - What will be the cost of the candy bar after a specific number of years if it originally sold for $.60 and undergoes a 3% price increase each year?

In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.

The question can be interpreted that the particular number has the same digit  which is seen in hundreds place  hence  hundredths place.

we can then represent the digit  as '1'.

The value of number's hundreds place can be represented as  100

we can as well represent the number's hundredths place as 0.01

the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000

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missing options:

A. 100,00

B. 100

C. 1,000

D. 10,000

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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