Two-fifths if one less than a number is less than three-fifths of one mira than than number. What numbers are in the solution set of this problem

A. X < -5
B. X > -5
C. X > -1
D. X < -1

Answer:

Kieran shaded the multiples of 9 instead of the multiples of 3

Step-by-step explanation:

Answer:

108 inches²

Step-by-step explanation:

Rectangular prism = cuboid

To find how much paper is required to cover the box, we need to find the TSA of the cuboid.

TSA of cuboid = 2 [LB + LH + HB] = 2 [ (3×4) + (3×6) + (4×6) ] = 2 [ 12+18+24 ] = 2 × 54 = 108 inches²

Answer:

(a) 31 years

(b) 59 years

(c) 56 years

Step-by-step explanation:

In general, when reading a stem and leaf plot, we read firstly the number in the steam (middle) and then in the leaf.

Now, let's move on to the question:

(a) As we can see in the graph, the youngest actor has 31 years.

(b) The youngest actress is 21 years old and the oldest is 80.

So, the difference is 80 - 21 = 59 years.

(c) In this exercise, we have to look for actors who had the same age. That means, when evaluating the steam, we will have to find similar values in the leaf. The oldest age shared is 56 years.

The graph represents a functional relationship between two variables X and Y. We get y=3 for the value x=2

Domain is defined as the set of values of independent variables.

In the question, all x coordinates are domain.

In a function, for each domain we get a possible output from the dependent variables which is termed as range. In this graph, the y coordinates are range because y value is dependent on x value.

The graph shows five points are plotted on XY coordinate system that represents a relationship between independent variable X and dependent variable Y.

hence, this graph is plotted from a function.

from the graph we get the domain as {-4, -2, 0, 2, 4}

the ranges are = {-3, -2, -1, 1, 3}

we get, y=3 for the value of x= 2  

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Answer:

100.

Step-by-step explanation:

By proportion the number of apples sold  is (6/4) * 40

= 6 *10

= 60.

Total fruit = 40 + 60 = 100.

Answer: Yes absolutely I come here for help alot and the answers are well thought out the majority for the time, I'd love to help if you want

Step-by-step explanation:

Answer:

i think its 700 hope it help

Step-by-step explanation:

the answer would be

70 times

we have to equalize both equations. We get that:

so the answer is x=2

Answer:

60

Step-by-step explanation:

Each number is increasing by 13. Add 13 to 47 and you get 60.

Answer:

1 1/2

Step-by-step explanation:

Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

The probability of rolling a specific number is 1/6 or approximately 0.1667.

When rolling a fair number cube with faces numbered 1 through 6, each face has an equal chance of landing face-up. This means the probability of rolling any specific number is 1 out of the total number of faces, which is 6. Therefore, the probability of rolling a specific number is 1/6 or approximately 0.1667.

The dot on the number line represents the probability of an event occurring when rolling the number cube. To determine what this event could be, consider the possible outcomes when rolling the cube and compare their probabilities to the dot's position on the number line.

For example, if the dot is located at 1/6 on the number line, this could represent the probability of rolling a single specific number, such as rolling a 3. If the dot is located at 1/2 or 0.5, it could represent the probability of rolling an even number (2, 4, or 6) since there are three even numbers out of the six total faces, making the probability 3/6 or 1/2.

In summary, the dot on the number line represents the probability of an event occurring when rolling a fair number cube. To identify the event, compare the dot's position on the number line with the probabilities of different outcomes resulting from rolling the cube.

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The greatest joint relative frequency value is 0.35.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Number of people have bikes do not have bikes have skateboards70 30

Number of people do not have skateboards 80 70

Now,

Part A:

The student created the segmented bar chart correctly. The chart accurately represents the data from the two-way table, with the first bar showing the distribution of students who have bikes and the second bar showing the distribution of students who do not have bikes. Within each bar, the segments represent the distribution of students who have or do not have skateboards, respectively. The percentages of each segment also match the relative frequencies in the table.

Part B:

The greatest joint relative frequency value is 0.35, which represents the proportion of students who both have skateboards and do not have bikes. This value is found in the cell of the table where the row for "Have Skateboards" intersects with the column for "Do Not Have Bikes". In other words, 35% of the 12th grade students in the school have skateboards but do not have bikes at home. This is the highest proportion among all the possible combinations of bike and skateboard ownership.

Therefore, by the given percentage answer will be 0.35.

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7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.

What is meant by power?

Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.

What is meant by exponent?

An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.

According to the given information

To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:

log7(7ˣ) = log7(2,401)

x = log7(2,401)

Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.

Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:

7⁴ - 2 = (7²)² - 2

= 49² - 2

= 2,401

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The correct answer to the multiplication of 578 × 23 is; 13294

We want to find 578 × 23.

5 7 8

× 2 3

¯¯¯¯¯¯

1 7 3 4

+1 1 5 6

¯¯¯¯¯¯¯¯¯¯

1 3 2 9 4

Thus, the final solution for the product 578 × 23 is 13294 and as such the given answer previously is wrong.

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Answer:

mariana bedoya sanchez

Answer:

27

Step-by-step explanation:

it was right on khan academy

(a) (-∞, -8) U (-4, 0) U (5, 9)

To find the intervals of decreasing, you just pay attention to where the graph is angled downward, when looking at it from left to right.

I usually do this by drawing lines on the x value where there is a local max/min and looking to see what the values are at that line.

You then make an ordered pair out of the two numbers.

This is the same process for finding both the increasing and decreasing intervals.

(b) -4, 5

A common mistake for this problem could be that you put the maximum and minimum x values in for this function, but the problem is only asking for the maximums.

If you look at the graph and find the point, the x-values  are what you will use for this problem.

(c) +

For these kinds of problems, I draw an imaginary vertical line through the middle of the function.

These positives/negatives belong to the leading coefficient of f.

(d) 6

The degree of f relies on the number of times the function touches the x-axis.

Multiplicity: the number of times any given x-intercept appears in the equation

Adding up the multiplicities of all of the x-intercepts gives you the degree of the function.

In this problem, there are x-intercepts that simply pass through the x-axis at -9, -6, 8, and 10, and an x-intercept that bounces off of the x-axis at 0, which makes it a function of degree 6.

(a) The function f is decreasing over the intervals (-∞, -8), (-4, 0), and (5, 7)

(b) The function f has local maximum at x = -4, and x = 5

(c) The sign of the leading coefficient is (positive) +

(d)  The possibility for the degree of the polynomial is 6

The reasons for the above selected values are as follows:

(a) A function is decreasing over an interval where the values of the function decreases simultaneously as the input value increases

From the graph, in the region for the input x-values of -∞ to -8, we have;

The output y-value decreasing from infinity to -3

Therefore, the function decreases over the interval (-∞, -8)

Similarly, between the points (-4, 2), and (0, 0), we have:

The input x-values is increasing from x = -4 to x = 0

The output y-values is decreasing from y = 2 to y = 0

Therefore, the function is decreasing over the x-interval (-4, 0)

The output y-values of the function also decreases as the input values increase between the points (5, 4) and (7, -2), which is the interval (5, 7)

Therefore, the function decreases over the interval (5, 7)

The intervals over which the function decreases are;

(-∞, -8), (-4, 0), and (5, 7)

(b) A local maxima is a point that has a larger y-value, compared to other surrounding points

The point x is a local maximum if f(x) ≥ f(z) for all z in (a, b), where a < x < b

In the interval (-8, 0), f(-4) =2 > f(-8) = -3, and  f(-4) = 2 > f(0) = 0

Therefore, the point (x, f(x)) = (-4, 2) is a local maximum point

Similarly, in the interval, (0, 9), we have; f(0) = 0 < f(5) = 4 > f(9) = -2 therefore, the point (x, f(x)) = (5, 4) is a local maxima

The local maxima are (-4, 2), and (5, 4), and the function f has local maximum at x = -4, and x = 5

(c) The leading coefficient is the numerical value that multiplies the variable having the highest exponent

The sign and number type of the leading coefficient determines the end behavior

\(\begin{array}{cll} \mathbf{Degree \ of \ the \ polynomial}&& \mathbf{Leading \ coefficient}\\\\&\mathbf{Positive (+)}&\mathbf{Negative(-)}\\\\Even&f(x) \rightarrow \infty \ as \ x \rightarrow \pm \infty&f(x) \rightarrow -\infty \ as \ x \rightarrow \pm \infty\\\\Odd &f(x) \rightarrow \infty \ as \ x \rightarrow \infty&f(x) \rightarrow \infty \ as \ x \rightarrow -\infty\\\\Odd&f(x) \rightarrow -\infty \ as \ x \rightarrow -\infty&f(x) \rightarrow -\infty \ as \ x \rightarrow \infty\end{array}\)

The end behavior of the given graph is as x → ±∞, f(x) → ∞, therefore, the

sign of the leading coefficient is positive (+)

(d)  The degree of the polynomial is given by the number and nature of the graph crossing of the x-axis

The graph crosses the x-axis and appears straight across the intercept at 4 points given 4 zeros

The graph bounces of the x-axis at (0, 0), giving 2 zeros

Therefore, the total number of zeros = 4 + 2 = 6 = The degree of the polynomial

The possible degree of the polynomial = 6

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The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.

                              A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.  

Roots : -3(mult . 2), 4(mult.2)

the function is given as

     f(n) = (n + 3)² (n - 4)²

         = (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)

        = (n² + 6n + 9) (n² - 8n + 16 )

        = n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1

collecting like term,

    f(n) = n⁴ - 2n³ - 23n² + 24n + 144

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Answer:

\(y - 4 = - 3(x - 2)\)

Here is your answer.

A tank contains 5832 litres of water.

Total amount of water in tank = 5832 litres.

Each day one-third of the water in the tank is removed and not replaced.

Since one third of the water is removed for six days.

1st day = 1/3rd of 5832 litres is removed

\( = \dfrac{5832}{3} = 1944\)

Amount of water left = 5832 - 1944 = 3888 litres

2nd day = 1/3rd of 3888 litres is removed

\( = \dfrac{3888}{3} = 1296 \)

Amount of water left = 3888 - 1296 = 2592 litres

3rd day = 1/3rd of 2592 litres is removed

\( = \dfrac{2592}{3} = 864 \)

Amount of water left = 2592 - 864 = 1728 litres

4th day = 1/3rd of 1728 litres is removed

\( = \dfrac{1728}{3} = 576 \)

Amount of water left = 1728 - 576 = 1152 litres

5th day = 1/3rrd of 1152 litres is removed

\( = \dfrac{1152}{3} =384 \)

Amount of water left = 1152 - 384 = 768 litres

6th day = 1/3rrd of 768 litres is removed

\( = \dfrac{768}{3} = 256 \)

Amount of water left = 1768 - 256 = 512 litres

So, 512 litres water remains in the tank at the end of 6 days

Answer:

0.4

Step-by-step explanation:

0.35 is hundredth, and since you always round 5 up, it makes 0.4

Answer:

0.4

Step-by-step explanation:

To figure out the answer, first we need to know how to round. Find the tenths place. That's the first 3 you come upon. Look at the number beside it. It is a five which means you would round up (this is because of the 5 or more raise the floor, four or less let it rest rule) The 3 would then turn into a 4.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

If it is a parallelogram the opposite sides will a have the same slope.

Using the diagram  we see from the coordinates of A and B:

Slope of AB = (5 - -1)/(-1 - -5)

= 6/4

= 3/2.

In the same way

slope of CD = (2 - -4) / (1 - -3)

= 3/2.

So AB and  CD can be shown to be parallel.

Similarly the lines BC and AD are parallel.

So the figure is a parallelogram

Finding the perimeter (counting the units between the points):

Perimeter = 2AB + 2BC

By Pythagoras:

AB =   sqrt (6^2 + 4^2) = sqrt 52

BC = sqrt (3^2 + 2^2) = sqrt 13

So Perimeter = 2sqrt52 + 2sqrt13

= 4sqrt13 + 2 sqrt13

= 6sqrt13

or 21.63 unit^2 to 2 decimal places.

Area = sqrt52 * perpendicular distance between the lines AB and CD.

Given:

The third term of an arithmetic progression is,

The thirteenth term of the arithmetic progression is,

The objective is to find the 17th term of the sequence.

Explanation:

The general formula for the nth term of an arithmetic sequence is,

The expression for the third term can be written as,

Similarly, the expression for the thirteenth term can be written as,

To find d:

Now, substitute equation (3) in equation (2).

To find a :

Now, substitute the value of d in equation (3).

Thus, the value of a is 7 and the value of d is 3.

To find a17:

Now, the 17th term can be calculated from equation (1) as,

On further solving the above equation,

Hence, the value of a17 of the arithmetic progression is 55.value of a17 of thear

Answer:

Y= log 4(x+3)

then you should do (x+3)= 3x= log 4.

Step-by-step explanation: Sorry I'm not 100 % sure so yeah

But let's see 3x  =  log 4

oh so then you need to divide 3 at both sides so then what's 4/3= 1.3333333333.

So now I think it's C). All real numbers are les than 3.