Use the number line to round 28,300 to the nearest 10 thousand here have a terribly made number line...

<-'--'--'--'--'--'--'--'--'--'--'-->


they didnt even give me any numbers ;_; this is why i really hate EP

Solution

For this case we can use the following properties:

We can solve for x and we got:

Then we can find the value of y using the Pythegoras theorem and we have:

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

2 entradas de cine= $12.50 c/u

2 bolsas de palomitas = 2.25 c/u

2 bebidas = $ x c/U

total gastado = $33

El costo de cada producto multiplicado por la cantidad comprada, debe ser igual al total gastado:

2 (12.50)+2 (2.25) +2 (x)= 33

Resuelve x:

25+ 4.5+2x= 33

2x= 33-25-4.5

2x = 3.5

x= 3.5/2

x= 1.75

Cada bebida cuesta $1.75

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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The cube can contain 1000 cm^3 of water

The side length is given as:

L = 10 cm

The amount of water it can contain is calculated as;

V =L^3

So, we have:

V = 10^3

Evaluate

V = 1000

Hence, the cube can contain 1000 cm^3 of water

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Step-by-step explanation:

side = 9 ft

the volume of a cube is

V = side³

if V decreases by a to V', then each side decreases by side - cubic root of V'.

V = 9³ = 729 ft³

V' = (729 - 0.3) ft³ = 728.7 ft³

side' = cubic root (728.7) = 8.998765263... ft

difference side - side' = 0.001234737... ft

so, the change rate at 9 ft is

0.001234737... ft/min.

Answer:

n = 16

Step-by-step explanation:

The equation is,

→ √n = 4

Solving for the value of n,

→ √n = 4

→ n = 4²

→ [ n = 16 ]

Hence, the value of n is 16.

Answer:

An exponential function is a mathematical function, which is used in many real-world situations. It is mainly used to find the exponential decay or exponential growth or to compute investments, model populations, and so on. In this article, you will learn about exponential function formulas, rules, properties, graphs, derivatives, exponential series, and examples.

An example of an exponential formula is given below as

The following figure represents the graph of exponents of x. It can be seen that as the exponent increases, the curves get steeper and the rate of growth increases respectively. Thus, for x > 1, the value of y = fn(x) increases for increasing values of (n).

Are there restrictions on the domain why or why not?

For any exponential function, f(x) = ab^x, the domain is the set of all real numbers. For any exponential function, f(x) = ab^x, the range is the set of real numbers above or below the horizontal asymptote, y = d, but does not include d, the value of the asymptote.

Hence,

The domain of exponential functions is equal to all real numbers since we have no restrictions with the values that x can take.

Are exponential and logarithmic function inverse. why or why not?

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = a^x is x = a^y. The logarithmic function y = logx base a is defined to be equivalent to the exponential equation x = a^y

Hence,

Exponential functions and logarithmic functions are inverses of each other

The system of equations where the combination of the candies gives you a total of 22 points are:

x + y = 9

2x + 3y = 22

To create the equations, we shall first define the variables:

x = the number of purple candies

y = the number of yellow candies

Next, we shall use the given information that purple candies are worth 2 points and yellow candies are worth 3 points.

Then, we would make sure that the total number of candies selected is 9.

The first equation represents the total number of candies selected:

x + y = 9

The second equation represents the total number of points obtained:

2x + 3y = 22

Therefore, the system of equations is:

x + y = 9

2x + 3y = 22

This is a system of linear equations.

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The slope is

\(\frac{-13-31}{1-(-10)}=-4 \)

So, the equation is

\(y+13=-4(x-1)

\)

The y-intercept is when x=0, so

\(y+13=-4(0-1) \\ \\ y+13=4 \\ \\ \boxed{y=-9}\)

Answer:

Step-by-step explanation:

The fill-in for the first box is found by counting spaces between 0 and 2/5. There are 6 of them.

__

Since 6 spaces = 2/5, the value of 1 space is 1/6 of 2/5. We must multiply 2/5 by 1/6 to find the value of 1 space:

  1 space = (2/5)(1/6) = 2/30 = 1/15

This is the number that goes in the second box.

__

To find the value of x, count all the spaces. There are 13, so the value of x is 13 times the value of 1 space:

  x = 13(1/15) = 13/15

This is the number that goes in the last box.

Answer:

0 onto functions

Step-by-step explanation:

Let the sets be \(A\ and\ B\) such that:

\(n(A) = 3\)

\(n(B) = 8\)

Required

The number of onto functions

The condition for onto functions is:

For there to be an onto function from set A to set B, the number of elements of B must be less than the elements in set A

Since n(B) > n(A) i.e. 8 > 3

Then, there can't be onto functions from A to B

The possible combinations of women to the total number of club members could be:

7 women out of 10 members.

14 women out of 20 members.

21 women out of 30 members.

28 women out of 40 members.

And so on, as long as "x" is a multiple of 10 that is divisible by 7.

The ratio of women to men in the local book club is 7 to 3. This means that for every 7 women, there are 3 men.

To find the possible combinations of women to the total number of club members, we can consider the total number of members as a multiple of 10 (since the ratio is given as 7 to 3). Let's assume the total number of club members is represented by the variable "x."

Based on the given ratio, we can calculate the number of women in terms of "x" by multiplying the ratio of women (7/10) by the total number of members:

Number of women = (7/10) * x

Since we're looking for possible combinations, the number of women must be a whole number. Therefore, "x" must be a multiple of 10 that is divisible by 7.

Let's explore some possible combinations:

If x = 10, the number of women = (7/10) * 10 = 7, which satisfies the ratio.

If x = 20, the number of women = (7/10) * 20 = 14, which satisfies the ratio.

If x = 30, the number of women = (7/10) * 30 = 21, which satisfies the ratio.

If x = 40, the number of women = (7/10) * 40 = 28, which satisfies the ratio.

As you can see, the possible combinations of women to the total number of club members could be:

7 women out of 10 members.

14 women out of 20 members.

21 women out of 30 members.

28 women out of 40 members.

And so on, as long as "x" is a multiple of 10 that is divisible by 7.

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according to the two-way frequency table, 42 female students had a positive opinion on campus housing

Answer:

The lower limit is  75.04

The upper  limit is  78.96

Step-by-step explanation:

From the question we are told that

   The sample size is  \(n = 25\)

   The sample mean is  \(\= x = 77\)

    The standard deviation is  \(\sigma = 5\)

Given that the confidence level is 95%  then the level of significance is mathematically represented as

        \(\alpha = (100 - 95)\%\)

         \(\alpha = 0.05\)

The critical value for  \(\frac{\alpha }{2}\) obtained from the normal distribution table is  

     \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the margin of error is mathematically represented as

       \(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

=>   \(E = 1.96* \frac{5 }{\sqrt{25} }\)

=>    \(E = 1.96\)

The 95% confidence interval is mathematically represented as

        \(\= x -E < \mu < \= x +E\)

=>   \(77 - 1.96 < \mu < 77 + 1.96\)

=>   \(75.04 < \mu < 78.96\)

Answer:

none of them are right not sure what's up with that.

Step-by-step explanation:

cylinder is base*height

base is pi*r^2, or 25pi

height is 9, so the volume is 225pi is about 707, so none of the answers are correct

Answer:

123456

Step-by-step explanation:

it is pie 3.14 because it is

Answer:

it should be -4=x.

Answer: -4

Step-by-step explanation:

Answer:

$39.88

Step-by-step explanation:

She started with $17

spent $0.78 so

17-0.78 = $16.22

then she got $6.76 3.5 times so

6.76*3.5 = 23.66 and that's what her mom gave her

23.66 + 16.22 = 39.88

She now has a total of $39.88

the answer would be: 39.88

because

17-0.78=16.22

and

6.76*3.50=23.66

so

23.66+16.22=39.88

hope this helps

have a fantastic day/night

On solving the provided question we can say that - probability of P(A B) = P(A) + P(B) - P(A B)= 70%

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.

P(A)= 60%, P(B) = 30%

P(A B) = 20%

P(A B) = P(A) + P(B) - P(A B)= 70%

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The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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a) The point (2, -7/5) is not a point on the graph?

b)  The value of f(x) when x is 1 is -1/3 and the point on the graph is (1, -1/3)

c) The value of x for f(x) = 2 is 22 and the point on the graph is (22, 2)

d) The domain of x is all real values of x ≠ 10

e) The x intercept is -2

f) The y intercept is -1/5

Function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output and not one input for two outputs.

Analysis:

a) To test if the point (2, -7/5) is a point on the graph, we put in x = 2 into the function,

f(2) = 2+2/2-10 = 4/-8  = -1/2 ≠ -7/5. Therefore (2, -7/5) is not a point on the graph.

b) if x = 1, f(1) = 1 +2 / 1-10 =  3/-9 = - 1/3

   The point on the graph is (1, -1/3)

c) if f(x) = 2, then 2 = x+2/x-10

     2(x-10) = x+2

     2x -20 = x+2

      2x-x = 2+20

      x = 22, the point on the graph is (22, 2)

d) The domain of the function is such that the denominator would not be zero.

so if x - 10 ≠ 0

Then the values of x ≠ 10 are the domain of the function.

e) The x intercept of the graph is the point at which f(x) = 0

  0 = x+2/x-10

   x+2 = 0

   x = -2. The x-intercept is -2.

f) the y-intercept is such that x = 0

   0+2/0-10 = 2/-10 = -1/5

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Answer:

The negatives are at the bottom and the positives are at the top, if you need help with the (x,y) let me know!!!

Step-by-step explanation:

Answer:

right and above side of graph are positive

and

left and bottom side of graph are negative

Answer:

D) (-20, 17)

Step-by-step explanation:

y = x + 3 (substitute the numbers & check if the equation is still true)

-7 = -10 + 3 -> -7 = -7

16 = 13+3 -> 16 = 16

-11 = -14 + 3 -> -11 = -11

17 = -20 + 3 -> 17 = -17 (not true)

Answer:

Answer has explained below.

Step-by-step explanation:

Consider the function is:

F(x) = 25x3 – 6x2 +7x -88

Differentiate with respect to x, we get

F’(x) = 25. 3x2 – 6.2x + 7

       = 75x2 – 12x +7

At x = 2, we have

F (2) = 25(2)3 – 6(2)2 + 7(2)-88

        =102

And f’(2) = 75(2)2 – 12 (2) +7

               =283

Now, calculate forward divided difference as:

xi + 1 = xi + h

        =2 + 0.25

        =2.25

F (xi + 1) = f (2.25) = 25 (2.25)3 – 6(2.25)2 +7(2.25) -88

                            =182.21

f’(2) = f(2.25) – f(2) / 0.25 = 182.21 – 102 / 0.25

                                             = 320.84

Єt = 283 – 320.8 / 283 = -13.36%

Now calculate backward divided difference:

Xi-1 = xi –h = 2 – 0.25 = 1.75

F(xi-1)= f(1.8) = 25 . (1.8)3 -6 (1.8)2 + 7 (1.8) – 88

                       = 50.96

F’(2) = f(2) – f(1.8) / 0.25 = 102 – 50.96 / 0.25 = 204.16

Єt = 283 – 204.16 / 283 = 27.86%

Finally, centered divided difference is obtain by inserting f(xi+1) and f (xi-1):

F’(2) = f(2.25) – f(1.8) /2 x 0.25 = 320.84 -50.96 / 0.5 = 539.68

Єt = 283 – 539.68 / 283 = -90.7%

Answer:

What’s the numbers? Or the question?

Step-by-step explanation:

Step-by-step explanation:

\( \frac{3 }{54x} + \frac{3}{2x} \\ = \frac{3 + 81}{54x} \\ = \frac{84}{54x} \\ = \frac{14}{9x} \)

if we express in equivalent,

\( \frac{14}{9x} = 0 \\ = > 14 = 0 \times 9x \\ = > 14 = 0\)

Answer:

slope (m) = -3/2

y intercept (b) = -2

equation = y = -3/2x-2

Step-by-step explanation:

You can see that the line is negative. Using the rise/run method, you can find out the slope which is -3/2. To find the y intercept, find the point where the line crosses the y axis. Connect this info to make the equation.