2. Find the number of permutations of the letters in the
word SMART.
​

The answer is 27 i think..

This triangle is a right triangle.

We know that the sum of the angles is 180°.

So:

90° + (x+23)°+ (x+13)° = 180°

90 + (x+23) + (x+13) = 180

(x+23)+(x+13) = 180-90

(2x+36) = 90

(2x) = 90-36

(2x) = 54

x = (54/2)

x = 27

=> x = 27

Answer:

going down the picture

45

36

250

546

216

60

Step-by-step explanation:

What she said....... is what i was going to say but yes that person is correct

Answer:

[tex]-13 <x <-12[/tex]   Neither Increasing or Decreasing ​

[tex]-12 <x <-9[/tex]       Increasing

[tex]-9 <x <-6[/tex]     Decreasing

[tex]-6 <x <-4[/tex]        Increasing

[tex]-4 <x <-1[/tex]      Neither Increasing or Decreasing ​

Step-by-step explanation:

To know if the graph of a function is growing or decreasing you must use the graph to verify what happens when x increases.

If when x increases y decreases, then the function is decreasing.

If when x increases y increases, then the function is growing.

Let's look at the

First interval.

[tex]-13 <x <-12[/tex] Note that the value of y is always equal in this interval, therefore the function is not  increasing or decreasing.

Second interval

[tex]-12 <x <-9[/tex]

Note that when x increases from -12 to -10, the value of y increases from y = 1 to y = 3.

Then the function is  increasing in this interval

Third interval

[tex]-9 <x <-6[/tex]

Note that when x = -9 y= 8, but when x approaches -6 then y approaches 7.

Therefore in this interval the function is decreasing.

Fourth interval

[tex]-6 <x <-4[/tex]

When x = -6 y = 7 and at the end of the interval when x = -4 then y = 11

The function is increasing.

Fifth interval

[tex]-4 <x <-1[/tex]

The value of y remains constant throughout the interval. So the function is not  increasing and it is not decreasing

Answer:

Option B. 5P5 × 20P15

Step-by-step explanation:

It is very important to remember that the second grade students are sitting in the front row, therefore, it is only necessary to organize 15 first grade students in 20 seats.

Permutations allow you to calculate the number of ways in which m objects can be arranged in n positions.

The permutation of m in n is written as:

nPm

Where n is the number of elements and m are chosen.

The way in which the 5 second grade students can be organized in the 5 seats is from the first row is:

5P5

Then, the number of ways in which 15 first-year students can be organized into 20 seats is:

20P15

Then, the number of ways to organize all students on the bus is the product of both permutations

5P5 * 20P15

Answer:

Step-by-step explanation:

0.001y^12 has only one term and is thus a monomial.  Are you sure you've shared the entire question?

Answer:

D.

Step-by-step explanation:

The formula is Sum(n) = (n -2) 180.

The polygon angle sum theorem states that the sum of the measures of the interior angles of an n-gon is (n-2) 180

A polygon is a geometric figure with a finite number of sides in 2D. A polygon's sides are made up of straight-line segments. They are called as sides. The intersection of two line segments is known as the vertex and an angle is generated as result.

The term n-gon refers to polygon with n sides.

A polygon's interior angle is the angle formed between two adjacent sides of the polygon.

We will take a pentagon(5 sides) and then we will try to generalize it to an n-gon(n sides) with the following steps:

The sum of the interior angles of a triangle is 180°

Now, each triangle has the sum of interior angles of 180°,

so (n-2) triangles will have the sum of interior angles of (n-2)×180°.

Therefore, the sum of the measures of the interior angles of an n-gon is (n-2)×180.

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Answer:

x = 25

Step-by-step explanation:

4x+50 and 150 are vertical angles which means they are equal.

4x+50 =150

Subtract 50 from each side

4x+50-50 = 150-50

4x = 100

Divide each side by 4

4x/4 = 100/4

x = 25

[tex]

d = 258ft \\

t = 2min = 2\cdot 60s = 120s \\

s = \frac{d}{t}=\frac{258ft}{120s}=\boxed{2.15\frac{ft}{s}}

[/tex]

Answer:

The balls average speed was 2.15 feet per second.

Hope this helps.

Step-by-step explanation:

There are 60 seconds in a minute, and there are 2 minutes so you add 60 and 60, which would give you 120 seconds. Then you would divide 258 by 120, which would give you 2.15

For this case, we must represent the numbers that are included between -4 and 6. Let "x" be the variable that represents these numbers, then we have:

[tex]-4 <x <6[/tex]

If the set includes -4 and 6 then we have:

[tex]-4\leq x\leq 6[/tex]

Answer:

[tex]{x | -4 <x <6}[/tex] or

[tex]{x | -4\leq x\leq 6}[/tex]

The range of (w.r)(x) is all real numbers.

The range of (w.r)(x) can be found by substituting the value of x from w(x) into r(x). So, we have:

(w.r)(x) = r(w(x)) = 2 - (x - 2)^2 = 2 - (x^2 - 4x + 4) = 6 - x^2 + 4x.

Therefore, the range of (w.r)(x) is all real numbers.

Answer:

410 kilograms

Step-by-step explanation:

The mean is another way to say average.

Add the weights of all the polar bears together

3,280 kilograms total.

Then divide by the total number of bears

3,280 / 8 = 410

Answer:

Mean=410

Step-by-step explanation:

Given that the table shows the weights, in kilograms, of 8 polar bears.

Now we need to find about what is the mean weight of the polar bears.

So we just need to add all the weights then divide the sum by 8 to get the mean weight.

[tex]Mean=\frac{453+553+471+358+467+262+352+364}{8}[/tex]

[tex]Mean=\frac{3280}{8}[/tex]

[tex]Mean=410[/tex]

Hence final answer is Mean=410.

Answer:

35 3/8        

Step-by-step explanation:

[tex]\text{Hey there!}[/tex]

[tex]\frac{5}{(-1.5+9.5)}+\frac{0.4(7+11)}{-0.2}\\\\ \text{- 1.5 + 9.5 = 8}[/tex]

[tex]\frac{5}{8}+\frac{0.4(7+11)}{-0.2}[/tex]

[tex]\text{7 + 11 = 18}[/tex]

[tex]\frac{5}{8}+\frac{0.4(18)}{-0.2}[/tex]

[tex]\text{0.4(18) = 7.2}[/tex]

[tex]\frac{5}{8}+\frac{7.2}{-0.2}[/tex]

[tex]\frac{7.2}{-0.2}=-36[/tex]

[tex]\frac{5}{8}+(-36)=-36.375[/tex]

[tex]\boxed{\boxed{\bf{Answer:decimal\ form\rightarrow-35.375\ Fraction\ form:35\frac{3}{8}}}}[/tex] [tex]\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:}[/tex]

Answer:

3.011364 miles

Step-by-step explanation:

length value divided by 1760

Answer:

3.011 miles

Step-by-step explanation:

5300 yds      3 ft           1 mi

--------------- * ----------- * ------------ = 3.011 miles

        1             1 yd        5280 ft

Answer:

The answer is only A

happy to help

Set A represents a function because each element of its domain is paired with a unique element in the range. Set B does not represent a function because it has repeated first elements without unique corresponding second elements.

The question asks which set of ordered pairs represents a function. A function is a special type of relation where each element of the domain (the first element in each ordered pair) is paired with a unique element in the range (the second element in each ordered pair). Analyzing option A, we see that each first element in the set A = {(1, −2), (3, −5), (5, 2), (7, 5)} is unique, which means it represents a function. However, for option B, we have repeated first elements in the set B = {(4, 2), (4, −2), (9, 3), (9, −3)}, which means it does not meet the criteria for a function as the first element, which belongs to the domain, is not mapped to a unique value in the range.

the answer is: (check the image the answer is on the image)

Answer:

2 1797/2000

Step-by-step explanation:

Answer:

1. The number zero (0) is the additive identity for real numbers as adding it to any real number doesn't change the number.

2. a(b+c) = ab + ac or a(b-c) = ab-ac is the distributive property as a is distributed to b and then c.

3. An Equation with more than one variables is called literal equation. The variables are known in literal equations. These kind of equations are usually used to represent time, distance etc.

4. The number 1 is the multiplicative identity for real numbers as multiplying any real number with 1, other than zero, doesn't change the number.

5. The reciprocal of a number such that x is a number other than zero and 1/x is the reciprocal and the product of x and 1/x is equal to 1 then 1/x is called the multiplicative inverse of x.

Final answer:

To convert 134.7 grams to milligrams, multiply by the conversion factor of 1000, resulting in 134700 milligrams.

Explanation:

To complete the statement 134.7 g = blank mg, one needs to understand the conversion between grams and milligrams. There are 1000 milligrams (mg) in 1 gram (g). When converting from a larger unit to a smaller unit, we multiply by the conversion factor. Therefore, multiplying 134.7 g by 1000 gives us the equivalent number of milligrams.

134.7 g × 1000 = 134700 mg

Thus, 134.7 g is equal to 134700 mg.

Answer:

central

Step-by-step explanation:

we know that

A central angle is an angle that forms when two radii are drawn from the center of a circle out to its circumference

so

A central angle has the same measure as its arc

Student attendance numbers were the same during which two weeks of the workshop? B. weeks 2 and 4

A histogram is the graphical display of data by using bars of different heights. Histograms provide a visual interpretation of numerical data by indicating the number of data points that lie within a range of values. Histogram was first introduced by Karl Pearson in 1891.

Some histograms presented with the independent variable along the vertical axis and dependent variable along the horizontal axis.  The histogram attached below shows the weekly attendance of participants in a school's study skills program. In the histogram the x axis is number of weeks and y axis is number of students in attendance.

According to the histogram attached we can see that in week 1 the Student attendance was 8, in week 2 the Student attendance was 12, in week 3 the Student attendance was 15, in week 4 the Student attendance was 12, in week 5 the Student attendance was 18, in week 6 the Student attendance was 16. Hence the Student attendance numbers are the same during week 2 and 4 of the workshop. Therefore the correct option is B

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Student attendance numbers were the same in week 2 and 4

A histogram is a graphical representation of data that uses bars of various heights. By showing how many data points fall inside a certain range of values, histograms provide numerical data a visual interpretation. Karl Pearson initially described the histogram in 1891.

In some histograms, the dependent variable is displayed along the horizontal axis and the independent variable is given along the vertical axis. Participants in a school's study skills program's weekly attendance are depicted in the histogram below. The number of weeks is on the histogram's x-axis and the number of students present is on the y-axis.

GIVEN

The histogram that is attached shows that the student attendance for the first week was 8, for the second week was 12, for the third week was 15, for the fourth week was 12, for the fifth week was 18, and for the sixth week was 16. Thus, the student attendance figures for weeks two and four of the program are identical.

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Answer:i think it is c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3; f(n) = 2(3)n-1 is correct. Since each term is multiplied by 3 to get to the next term, the common ratio is 3. The common ratio is also the base of an exponential function.

Answer:

15 pounds

Step-by-step explanation:

answers to the multiplication column

1

6

5

3

the addition will give the total number of pounds ordered which is (1+6+5+3) = 15 pounds

Answer: 5,376in.

Step-by-step explanation:

Volume of a prism = Bh

B = 1/2bh

B = 7 x 24 = 168

168 x 32 = 5,376in.

Answer:

2 < x < 7

Step-by-step explanation:

2 is less than x can be written as ...

2 < x

7 is greater than x can be written as ...

7 > x

It can also be written with the expressions and symbol reversed:

x < 7

Then the two inequalities can be combined into one compound inequality:

2 < x < 7

Answer:

2-x + 7 > x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Keep in mind that we want to eliminate the radical from the denominator.  Note that the denominator is equal to

8^(1/4) = (2^3)^(1/4).

If we multiply the entire given expression by 2^(1/4), we get:

2^(1/4)           √10

----------- * -----------------

2^(1/4)       (2^3)^(1/4)

or

2^(1/4)           √10            2^(1/4) · √10          2^(1/4) · 10^(2/4)    

----------- * ----------------- = ---------------------- = ---------------------------

2^(1/4)       (2^3)^(1/4)         2^(1/4 + 3/4)                2                          

    2^(1/4) · 10^(2/4)           2^(1/4) · 100^(1/4)        200^(1/4)

= ------------------------------ = -------------------------- = --------------------

                 2                                   2                           2

This result is the same as the first answer choice:

fourth root of 200   over   2

Answer:

A!!!!!!!

Step-by-step explanation:

ok well first you would find what the square root would be then you just see where it falls on the number line

so the sqrt of 29 is 5.38516... so it falls between 5 and 6.

so the answer is 5 and 6

it is in between 5 and 6

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = - 2x² + 4x - 2

To find the y- intercept set x = 0

f(0) = 0 + 0 - 2 = - 2 ← y- intercept

The equation of the axis of symmetry is of the form x = c

where c is the value of the x- coordinate the line goes through.

Given the equation in standard form

with a = - 2, b = 4 then the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{4}{-4}[/tex] = 1

Equation of axis of symmetry is x = 1

Answer:

The y-intercept is -2

The equation of the axis of symmetry is x = 1

Step-by-step explanation:

* Lets revise the general form of the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c,

 where a, b , c are constant

# a is the coefficient of x²

# b is the coefficient of x

# c is the y-intercept

- The meaning of y-intercept is the graph of the function intersects

 the y-axis at point (0 , c)

- The axis of symmetry of the function is a vertical line

  (parallel to the y-axis) and passing through the vertex of the curve

- We can find the vertex (h , k) of the curve from a and b, where

 h is the x-coordinate of the vertex and k is the y-coordinate of it

# h = -b/a and k = f(h)

- The equation of any vertical line is x = constant

- The axis of symmetry of the quadratic function passing through

  the vertex then its equation is x = h

* Now lets solve the problem

∵ f(x) = -2x² + 4x - 2

∴ a = -2 , b = 4 , c = -2

∵ The y-intercept is c

∴ The y-intercept is -2

∵ h = -b/2a

∴ h = -4/2(-2) = -4/-4 = 1

∴ The equation of the axis of symmetry is x = 1

Answer:

The correct answer is (0, -2) (5, -5) (-3, 4)

Step-by-step explanation:

The given inequality is x ≥ -3

To find the correct answers

1) (0, -2)

x ≥ -3

0 ≥ -3  TRUE

2) (5, -5)

x ≥ -3

0 ≥ -3 TRUE

3) (-3, 4)

x ≥ -3

0 ≥ -3 TRUE

4) (-4, -2)

x ≥ -3

5 ≥ -3  FALSE

Therefore the  correct answer is (0, -2) (5, -5) (-3, 4)

Answer:

(0,-2)

(5,-5)

(-3,4)

Step-by-step explanation:

The given inequality is [tex]x\ge -3[/tex]

If any of this points is a solution, then it must satisfy the given inequality;

We substitute the first point (0,-2) to obtain;

[tex]0\ge -3[/tex]. This is true. hence (0,-2) is a solution.

We substitute the first point (5,-5) to obtain;

[tex]5\ge -3[/tex]. This is also true. Hence (5,-5) is a solution.

We substitute the first point (-3,4) to obtain;

[tex]-3\ge -3[/tex]. This is also true. Hence (-3,4) is a solution.

We substitute the first point (-4,2) to obtain;

[tex]-4\ge -3[/tex]. This is false. Hence (-4,2) is not a solution.

The first three options are correct.

Answer:

A.) 8n - 359

Step-by-step explanation:

8(1) - 359 = -351

8(2) - 359 = -343

8(3) - 359 = -335

So OK the answer is D rectangular

D rectangular hope this helps :)

Answer:9

Step-by-step explanation: find the average