The step function f(x) is graphed.
5
4+
3+
2+
1+
-5-4-3-2-1 1
-2+
-3
-4
-5
92
O
3 4
5 x
What is the value of f(1)?
0
O 1
02
O 4

Answer:

Item price now= 3.95

Step-by-step explanation:

To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day

Answer:

£1,049

Step-by-step explanation:

The computation of the amount after 5 years is shown below:

Here we have to determined the future value

As we know that

Future value = Present value × (1 + rate of interest)^number of years

=  £950 × (1 + 0.02)^5

=  £950 × 1.02^5

=  £950 × 1.1040808032

= £1,049

Answer:

oh

Step-by-step explanation:

The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line. To find the equation of the line through (3, 5) and (4, 1), we can use either point as (x1, y1) and find the slope between the two points:

m = (y2 - y1) / (x2 - x1)

Using the first point, (3, 5), we have:

m = (1 - 5) / (4 - 3) = -4

So the equation of the line in point-slope form is:

y - 5 = -4(x - 3)

Expanding and simplifying, we get:

y = -4x + 17

to know more about slope refer:

https://brainly.com/question/16949303

a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

To learn more about sum of interior angles of a polygon click :

https://brainly.com/question/14611583

#SPJ1

Let's add up the given scores to get: 97+38+88+75+83 = 381. Then we divide by 5 since there are five scores here. The mean we get is 381/5 = 76.2

So that explains the "76.2" mentioned.

Now we'll replace the "38" with "58" and repeat the same steps as above.

Add: 97+58+88+75+83 = 401

Divide by five: 401/5 = 80.2

The mean is now 80.2; it has increased compared to the previous mean. We can see that if we move any outliers closer to the main cluster, then the mean will be centered more around the main cluster. In the other direction, if we move the outlier further away from the cluster, then the outlier pulls on the mean. Think of a magnetic or gravitational pull.

The smaller outlier 38 made the mean of 76.2 to be smaller than it should be if we focused on the other values only. In short, if your data set has outliers, then the mean may likely not reflect the true center average value of the group. At that point, the median may be the next best thing or you could use a trimmed mean.

Answer: -8

Step-by-step explanation: You do y2 which is -4 subtracted by y1 which is 4 over x2 which is 5 subtracted by x1 which is 4 and since the denominator is 1 it becomes just negative 8

Answer:

9.9 lb of cashews and 23.1 lb of Brazil nuts

Step-by-step explanation:

cashews×$6.80 + Brazil nuts×5.50 = 33 lb × $5.89

C +B = 33lb

C = 33 - B

(33-B)(6.80) + B(5.50) = $194.37

224.4 - 6.80B + 5.50B = 194.37

-1.3B = -30.03

B = 23.1

C = 33 - 23.1

C = 9.9

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

For more such questions on arrays, click on:

https://brainly.com/question/28061186

#SPJ8

Step-by-step explanation:

Exponetial (compounding ) growth

  New Price = original price ( 1 + .10)^n      n is months  .10 is 10% per month

                     = $  110 ( 1.10)^3 = $ 146 . 41   three months later

Answer:

-4/3

Step-by-step explanation:

slope is rise/run

we go down 4 hence the negative four, and over 3

-4/3

Answer:

7, 4

Step-by-step explanation:

x = 25 cent books, y = 35 cent books

x + y = 11

.25x + .35y = 3.15   Multiply this to get the x to be the same, x4=

x + 1.4y = 12.6    Now subtract the first equation

-x  + y   =  11

.4y = 1.6

y = 4

11 - 4 = 7    x = 7

1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

Read more on common ratio here:https://brainly.com/question/1509142

#SPJ1

Answer:

If HM = 37, then ML = 37 as the diagonals of EFGH intersect at point M.

Step-by-step explanation:

To solve the diagonals of EFGH intersecting at point M, if HM = 37, first graph the points on a coordinate grid and draw the diagonals. Then use the Pythagorean Theorem to calculate the length of HM. Finally, use trigonometry to calculate the angle measure of FHG.

The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

To learn more about : angle

https://brainly.com/question/25770607

#SPJ8

Answer:

los números son 5,10,15,20,25,30,35,40,45,50,55,60

Step-by-step explanation:

Espero que esto ayude a marcar el MÁS CEREBRAL !!!

Answer:

B

Step-by-step explanation:

solve the rational inequality by combining expressions and isolating the variable x

Answer:

B

Step-by-step explanation:

a)  The probability that from 3 to 6 have blowouts is 0.7073

b)  The probability that fewer than 4 have blowouts is  0.4613

c)  The probability that more than 5 have blowouts is 0.1483

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given : In testing a certain kind of truck tire over rugged terrain, it found

that 25% of the trucks fail to complete the test run without a  blowout,

15 Truck Tested

To Find : probability that

(a) from 3 to 6 have blowouts:

(b) fewer than 4 have blowouts,

25% of the trucks fail to complete the test run without a  blowout,

=> probability of blow out p = 1/4

q  = 1 - p = 3/4

n = 15  

P(x)   = ⁿCₓpˣqⁿ⁻ˣ

probability that

(a) from 3 to 6 have blowouts:

= p(3) + p(4) + p(5) + P(6)

= ¹⁵C₃(1/4)³(3/4)¹² + ¹⁵C₄(1/4)⁴(3/4)¹² + ¹⁵C₅(1/4)⁵(3/4)¹⁰ + ¹⁵C₆(1/4)⁶(3/4)⁹

=0.7073

b) fewer than 4 have blowouts,

= P(0) + P(1)  + P(2)   + P(3)

= ¹⁵C₀(1/4)⁰(3/4)¹⁵ + ¹⁵C₁(1/4)¹(3/4)¹⁴ + ¹⁵C₂(1/4)²(3/4)¹³ + ¹⁵C₃(1/4)³(3/4)¹²

= 0.4613

c) more than 5 have blowouts

 Formula:

P(X>5) = 1 - P ( X≤ 5 )  = 1 - ( P(0) + P(1)  + P(2)   + P(3) + P(4) +P(5) )

Using the similar calculations , we get

P(X>5) =  1 - 0.8517 = 0.1483

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ1

We know that \(\log_a(bc)=\log_a(b)+\log_a(c)\).

Using this rule,

\(\log_c(A^5B^3)=\log_c(A^5)+\log_c(B^3)\).

We also know that \(\log_c(a^b)=b\log_c(a)\).

Using this rule,

\(\log_c(A^5)+\log_c(B^3)=5\log_c(A)+3\log_c(B)\)

Now we know that \(\log_c(A)=2,\log_c(B)=5\) so,

\(5\cdot2+3\cdot5=10+15=\boxed{25}\).

Hope this helps :)

Answer:

It is 76

Step-by-step explanation:

\({ \tt{}}\)

Answer:

49+27

= 4+2,9+7

=6,16

=76

Answer:

Step-by-step explanation:

It can be determined that the function is:

So missing x is:

Missing y is:

Missing numbers are:

Correct choice is d.

                                           FIRST METHOD

Answer:

Step-by-step explanation:

Given the table

x                                         y

7                                        16

9                                        17

Missing x                          18

13                                        Missing y

From the table, it is clear that y-values are incremented by 1 unit and the x-values are incremented by 2 units.

i.e.

y = 17-16 = 1

y = 18-17 = 1

as 19-18 = 1

Thus,

Thus, the value of Missing y = 19

also the x-values increment by 2.

i.e.

x  = 9-7 = 2

as x = 11 - 9 = 2

Thus, Missing x = 11

Therefore,

                                                2ND METHOD

Given that the table represents a  linear function, so the function is a straight line.

Taking two points

Finding the slope between (7, 16) and (9, 17)

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(\left(x_1,\:y_1\right)=\left(7,\:16\right),\:\left(x_2,\:y_2\right)=\left(9,\:17\right)\)

\(m=\frac{17-16}{9-7}\)

\(m=\frac{1}{2}\)

Using the point-slope form to determine the linear equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1/2 and the point (7, 16)

\(y-y_1=m\left(x-x_1\right)\)

\(y-16=\frac{1}{2}\left(x-7\right)\)

Add 16 to both sides

\(y-16+16=\frac{1}{2}\left(x-7\right)+16\)

\(y=\frac{1}{2}x+\frac{25}{2}\)

Thus, the equation of the linear equation is:

\(y=\frac{1}{2}x+\frac{25}{2}\)

Now substituting y = 18 in the equation

\(18=\frac{1}{2}x+\frac{25}{2}\)

Switch sides

\(\frac{1}{2}x+\frac{25}{2}=18\)

subtract 25/2 from both sides

\(\frac{1}{2}x+\frac{25}{2}-\frac{25}{2}=18-\frac{25}{2}\)

\(\frac{1}{2}x=\frac{11}{2}\)

\(x=11\)

Thus, the value of missing x = 11 when y = 18

Now substituting x = 13 in the equation

\(y=\frac{1}{2}\left(13\right)+\frac{25}{2}\)

\(y=\frac{13}{2}+\frac{25}{2}\)

\(y=\frac{13+25}{2}\)

\(y=\frac{38}{2}\)

\(y = 19\)

Thus, the value of missing y = 19 when x = 13

Hence, we conclude that:

Hence, option D is true.

The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

To learn more about Algebraic Equation from the given link

https://brainly.com/question/4541471

#SPJ9

Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

  see attached graph

Step-by-step explanation:

There are a couple of ways you can look at this.

Point-Slope Form

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Comparing this to the given equation, we see that ...

  k = -14, m = -7, h = 0

That is, the equation describes a line with slope -7 through point (0, -14).

The slope is the ratio of rise to run. Usually, "run" is considered to be positive in the +x direction (to the right). Here, you run out of room on most graphs if you look for a point that is 7 units down and 1 unit right of the y-intercept at (0, -14). (That point is (1, -21).) So, it is more convenient to start at the y-intercept (0, -14) and go 1 unit left and 7 units up to find another point on the line. That point is (-1, -7). With two points plotted, you can draw the graph.

__

Slope-Intercept form

We discovered above that the y-intercept is -14. You can get there also by putting the equation in slope-intercept form:

  y = mx +b . . . . . . line with slope m and y-intercept (0, b)

Adding -14 to both sides of the given equation gives you this form.

  y = -7x -14

The method of plotting is substantially identical to that described above.

__

Standard form

The standard form of the equation is ...

  ax +by = c

where a > 0, and a, b, c are mutually prime integers.

Adding 7x-14 to both sides of the equation puts it into standard form:

  7x +y = -14

The x- and y-intercepts are found by setting the other variable to zero and solving for the one that is left. Here, that means the x-intercept is ...

  c/a = -14/7 = -2

and the y-intercept is ...

  c/b = -14/1 = -14

These x- and y-intercepts are easily plotted on the x- and y-axes. The graph will be the line drawn through them. The attached graph shows the line and the intercepts.

please see the attached picture...

Hope it helps...

Good luck on your assignment.....

Answer:

The answers are

Step-by-step explanation:

7 X -3 = -21

24/ -12= -2