what is the length of diagnoal of 7-by-7 square. (round to nearest tenth).​

Answer:

[tex](s + t)(x)= 5x+1[/tex]

[tex](s - t)(x)= -3x-5[/tex]

[tex](s.t)(1) = -7[/tex]

Step-by-step explanation:

Given

[tex]s(x) = x - 2[/tex]

[tex]t(x) = 4x + 3[/tex]

Solving (a): (s + t)(x)

This is calculated as:

[tex](s + t)(x)= s(x) + t(x)[/tex]

[tex](s + t)(x)= x-2 + 4x + 3[/tex]

Collect like terms

[tex](s + t)(x)= x+ 4x-2 + 3[/tex]

[tex](s + t)(x)= 5x+1[/tex]

Solving (b): (s - t)(x)

This is calculated as:

[tex](s - t)(x)= s(x) - t(x)[/tex]

[tex](s - t)(x)= x-2 - 4x - 3[/tex]

Collect like terms

[tex](s - t)(x)= x- 4x-2 - 3[/tex]

[tex](s - t)(x)= -3x-5[/tex]

Solving (b): (s . t)(1)

First, we calculate (s.t)(x)

This is calculated as:

[tex](s.t)(x) = s(x)* t(x)[/tex]

So, we have:

[tex](s.t)(x) = (x - 2) * (4x + 3)[/tex]

Substitute 1 for x

[tex](s.t)(1) = (1 - 2) * (4*1 + 3)[/tex]

[tex](s.t)(1) = - 1 * 7[/tex]

[tex](s.t)(1) = -7[/tex]

Answer:

Speed of canoiest is 10 miles/hour.

Speed of current is 2 miles/hour.

Step-by-step explanation:

Let the speed of canoiest is v and the speed of current is u.

distance = speed x time

24 = (v + u ) x 2

v + u = 12 ..... (1)

Now

24 = (v- u) x 3

v - u = 8 .... (2)

By solving (1) and (2)

2 v = 20

v = 10 miles/hour

u = 2 miles/hour

Answer:

Option B

Step-by-step explanation:

Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (-5, -2) and (3, -1) will be,

m = [tex]\frac{-1+2}{3+5}[/tex]

m = [tex]\frac{1}{8}[/tex]

Equation of the line passing through (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of the line passing through (3, -1) and slope = [tex]\frac{1}{8}[/tex] will be,

[tex]y+1=\frac{1}{8}(x-3)[/tex]

[tex]y=\frac{1}{8}x-\frac{3}{8}-1[/tex]

[tex]y=\frac{1}{8}x-\frac{11}{8}[/tex]

Option B will be the answer.

Answer:

D) 13

[tex]\sqrt{169} = 13[/tex]

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Check the picture below

Answer:

x = 0 or x = 3

Step-by-step explanation:

-3x(x-3)(x^2+16)=0

3x = 0

x-3 = 0

x^2+16 =0 (not possible with real numbers)

x = 0, x= 3

Hence,

x = 0 or x =3

Feel free to mark this as brainliest :D

Answer:

S = 38.4 centimeters.

Step-by-step explanation:

Given the following data;

To find the length of the arc of a circle;

A full circle measures an angle of 360 degrees.

π = 180°

So; Angle, A = 360° = 2π

Therefore, a full circle is equal to 2π in terms of radians (rads).

Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.

Mathematically, the length of the arc of a circle is given by the formula;

S = rA

Where;

Substituting into the formula, we have;

S = 12 * 3.2

S = 38.4 centimeters.

Step-by-step explanation:

The answer is 5/8 + 1/3

Answer = 5*3 /(8*3) +8/24 =23/24

Answer = 23/24

Answer:

The company had 32,000 employees a year ago.

Step-by-step explanation:

Last year, the company had x employees.

Today the company has 35% more employees than it did a year ago.

So now it has 100% + 35% = 135% of last year, that is, 1.35x

There are currently 43,200 employees

So

[tex]1.35x = 43200[/tex]

How many employees did the company have a year ago?

We have to solve the equation for x. So

[tex]x = \frac{43200}{1.35} = 32000[/tex]

The company had 32,000 employees a year ago.

Answer:

243840000 people

Step-by-step explanation:

The total sample size = 1000

Samole proportion of those who wear corrective lenses :

p = x / n ; n = sample size

p = 762 / 1000 = 0.762

To predict the number of people who wear corrective lenses :

Total population * p

320,000,000 * 0.762

= 243840000 people

Answer:

243840000

Step-by-step explanation:

Answer:

C. 58ft

Step-by-step explanation:

An imaginary triangle is described here. The hypotenuse is 60, and one of the other sides is 15.

60*60=3600

15*15=225

3600-225=3375

sqrt3375=58.09

round that to get 58ft

Answer:

A

Step-by-step explanation:

The correct answer is A

Answer:

2 over 5

Step-by-step explanation:

This means out of 5 students only three did their work so 5-3=2

And the number of students who did their work over the total number of students in the class to find the probability

The probability that none of them have done their homework is 0.57%

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We are given that there are 3 students who have done their homework.

If the teacher 2 chooses 2 students, then;

Total no. of Outcomes= 5

Students who did their homework = 3

Students who didn't do their homework is 5-3 = 2

Probability of no. of students who haven't done their homework.

P(e)= 2/5

Thus P(students who haven't done homework) P(e)=0.57%

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Answer:

[tex](a)\ T_{a,b} =(x +a,y+b)[/tex]

[tex](b)\ F_{y\ axis} = (-x,y)[/tex]

[tex](c)\ F_{x\ axis} = (x,-y)[/tex]

[tex](d)\ R_{o,90^o} = (-y,x)[/tex]

[tex](e)\ R_{o,180^o} = (-x,-y)[/tex]

[tex](f)\ R_{o,270^o} = (y,-x)[/tex]

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

[tex]T_{a,b} =(x +a,y+b)[/tex]

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

[tex]F_{y\ axis} = (-x,y)[/tex]

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

[tex]F_{x\ axis} = (x,-y)[/tex]

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

[tex]R_{o,90^o} = (-y,x)[/tex]

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

[tex]R_{o,180^o} = (-x,-y)[/tex]

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

[tex]R_{o,270^o} = (y,-x)[/tex]

Answer:

The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

You know:

So:

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= [tex]\frac{8}{31}+ \frac{4}{31}[/tex]

P(A∪B)= [tex]\frac{12}{31}[/tex]

The probability that they purchased a green or a gray sweater is [tex]\frac{12}{31}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

A graphing calculator can quickly show you the boundaries of the feasible region, and can calculate the values of the objective function.

Answer:

d 12

Step-by-step explanation:

27-3=24÷3=12 do the mathssssss

Answer:

If it was 11, it would be 33 dollars which is over the total so its not a.

It can't be b because that would be 27, and that would be on just notebooks not magazine

24 is correct because he baught one magazine so + 3 which is the total so it is C

Step-by-step explanation:

Answer:

I don't know, because i really don't know

Answer:

2.1n-2.1

Step-by-step explanation:

The increase is

1.10 (n-1)= 1.1n -1.1

Add this to the original amount

(n-1) + 1.1n - 1.1

2.1n-2.1

Answer:

[tex]\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}[/tex]

Step-by-step explanation:

A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,

[tex]\rm\implies y = x^2+x - 6 [/tex]

Here we need to substitute the different values of x , to get the different values of y.

Put x = -3 :-

[tex]\rm\implies y = 3^2-3-6\\ [/tex]

[tex]\rm\implies y = 9 - 3 - 6 \\[/tex]

[tex]\rm\implies y = 0 [/tex]

Put x = -2 :-

[tex]\rm\implies y = 2^2-2-6\\ [/tex]

[tex]\rm\implies y = 4 -2-6\\[/tex]

[tex]\rm\implies y = -4 [/tex]

Put x = -1 :-

[tex]\rm\implies y = -1^2-1-6\\[/tex]

[tex]\rm\implies y = 1 -1-6 \\[/tex]

[tex]\rm\implies y = -6 [/tex]

Put x = 1 :-

[tex]\rm\implies y = 1^2+1-6\\ [/tex]

[tex]\rm\implies y = 2 -6[/tex]

[tex]\rm\implies y = -4[/tex]

Put x = 2 :-

[tex]\rm\implies y = 2^2+2-6\\ [/tex]

[tex]\rm\implies y = 4 +2-6\\ [/tex]

[tex]\rm\implies y = 2[/tex]

Put x = 3 :-

[tex]\rm\implies y = 3^2+3-6\\ [/tex]

[tex]\rm\implies y = 9 +3-6\\ [/tex]

[tex]\rm\implies y = 6 [/tex]

Final table :-

[tex]\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}[/tex]

Answer:

C. definition

Step-by-step explanation:

A precise statement of the qualities of an idea, object, or process is called a definition. Hence, option (C) is answer.

Answer:

The mean of the data is 21.41

Step-by-step explanation:

To find the mean of a data set you must...

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

The mean of the data set 21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2 is 21.41 the asnwer is 21.41.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have a data set:

{21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2}

As we know from the definition of the mean:

The mean can be calculated using the formula:

Mean = sum of the data set/number of the data in the data set

Mean = 471/22

Mean = 21.409  ≈ 21.41

Thus, the mean of the data set 21.8, 23.3, 18.9, 22.9, 19.4, 23.7, 21.8, 22.8, 20.9, 21.1, 21.5, 22.9, 18.8, 22.6, 22.3, 20.8, 20.3, 19.1, 23.3, 18.8, 19.8, 24.2 is 21.41 the asnwer is 21.41.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ5

Answer:

each movie costs $2.75, each video game costs $6.75

Step-by-step explanation:

x = movies, y = video games

7x + 9y = 80

5x + 3y = 34

simplified to

x = 11/4 , y = 27/4

Answer:

nine hundred  sixty

nine thousandths

Step-by-step explanation:

The values for matrix A is [1].

Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.

A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.

We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.

and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.

Also, at the value of matrix are repeated in resultant Matrix.

Then, the Matrix is that Quantity which does not affect the Matrix after multiplication.

Then, the matrix A is [1].

Learn more about Matrix here:

https://brainly.com/question/29132693

#SPJ7

Answer:

9

Step-by-step explanation:

a² + b² = c^2

12^2 + b^2 = 15^2

144 + b^ = 225

225 - 144= 81

b^2 = 81

square root both sides

b = 9

Answer:

The dots shown on the graph have a rise of 6 and a run of 4 (so 6/4)

This fraction can be reduced so your answer is 3/2

Answer:

x = -40

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

50 - 5x = 250

Step 2: Solve for x