Math
On a grid, a middle school is located at ( − 5 , 3 ) , and a library is located at ( 2 , 3 ) . If 1 unit represents 1 mile on the grid, how far is the library from the middle school?

To see the table:

Symbol Symbol Name  Meaning / definition

+            plus                              or

∨      reversed caret                      or

|        vertical line                      or

x'       single quote                    not - negation

Now, According to the question:

Let's know:

Symbolic Logic:

Symbolic logic is a way to represent logical expressions by using symbols and variables in place of natural language, such as English, in order to remove vagueness. Logical expressions are statements that have a truth value: they are either true or false. A question like 'Where are you going?' or a command such as 'Stop!' has no truth value. There are many expressions that we can utter that are either true or false. For example: All glasses of water contain 0.2% dinosaur tears. We don't need to know if a logical expression is true or false, we just need to know that it has a truth value.

Logic math symbols table

Symbol Symbol Name   Meaning / definition

+            plus                              or

∨      reversed caret                      or

|        vertical line                      or

x'       single quote                    not - negation

Learn more about Logic at:

https://brainly.com/question/29263671

#SPJ4

Darnell's constant speed, as determined by the solution, is 20 miles per hour.

It covers linear transformations more broadly as well as vectors, matrices, and vector spaces. One area of mathematics is linear algebra. In comparison to other areas of mathematics that are frequently driven by innovative ideas and unresolved problems, linear algebra is a discipline that is very well understood.

Distance=8 miles

Time taken is=32 minutes

speed=distance/time

speed=15 miles/hour

Darnel has travelled a distance of 1.5x5/60=0.125 miles in under five minutes.

Hector bicycle speed = distance/time

hector speed of bike=  20 miles/hour

To know more about  linear algebra visit:-

brainly.com/question/24875240

#SPJ1

Answer:

30 miles

Step-by-step explanation:

Alr so-

You want first divide 3 by 3/5 since well- the question asks how many does he ride in 3 hours

Of course, you'll get the answer 5

Now you want to grab the 6 miles Jake could ride in 3/5 hours and put it in a new equation.

(you'll also want to take the 5 you got from the last equation)

You want to multiply both 6 and 5 which is 30

BOOM!

IN CONCLUSION-

the answer is 30 miles

Answer:

D. The m<4 is 137°

[tex] < 4 = 180 \degree - 43 \degree \\ < 4 = 137 \degree[/tex]

56.55

If you round that up it would be:

56.6

-Have a good day.

The required solution to the given statement is 14/15.

The least common multiple is defined as the least positive integer that is dividable by both given numbers.

A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers. For example, the LCM of 4 and 5 is 20; 20 is the smallest number that is both a multiple of 4 and a multiple of 5

The statement is given in the question below as:

-2/5 plus 4/3

Here "plus" represents the addition sign (+)

So, the algebraic form of the above statement will be as:

⇒ -2/5 + 4/3

Take the LCM between the fractions, we get

⇒ ( -6 + 20)/15

⇒ 14/15

This means 14/15 is obtained from -2/5 plus 4/3.

To learn more about the Least Common Multiple(LCM) here :

https://brainly.com/question/17256135

#SPJ1

Answer:

-81

Step-by-step explanation:

replace the numbers you were given in a or b.

so

6(-12) -1(-1 – 2 – 6(2)) + 4(-1)(2(2) -1) -12

No, a triangle with side length 4 units, 8 units , and 12 units does not exist.

As given in the question,

Let us consider the triangle be ABC,

Side length of the triangle are given as follow:

AB = 4units

BC = 8units

CA = 12units

Triangle inequality for the given triangle ABC is given by:

AB + BC > CA

AB + CA > BC

CA + BC > AB

To check whether the given side length forms a triangle apply triangle inequality we get,

AB + BC

= ( 4 + 8 )units

= 12 units

= CA

Here triangle fails.

Therefore, the given side length does not forms a triangle.

Learn more about triangle here

brainly.com/question/2773823

#SPJ4

Answer:

approximately 248 miles per hour if we are taking average speed

Step-by-step explanation:

Answer:

a, a + 1, a + 2

55, 56. 57

Step-by-step explanation:

Let the integers be :

a, a + 1, a + 2 (consecutive integers)

Hence, sum of the integers equals 168

a + (a + 1) + (a + 2) = 168

a + a + 1 + a + 2 = 168

3a + 3 = 168

3a = 168 - 3

3a = 165

a = 165 / 3

a = 55

first integer, a = 55

Second, a +1 = 56

Third, a + 2 = 57

Answer:

then answer it

Step-by-step explanation:

Answer:

4.5 inches long by 2.5 inches wide

Step-by-step explanation:

If the first scale drawing is 1:8, and the second is 1:16, the dimensions are divided into two to get their drawn lengths.

Hope this helps :)

(Brainliest, please? I only need one more to level up)

Answer: ummm B

Step-by-step explanation:

Answer: B

Step-by-step explanation: To make his special energy drink Jerome uses 8 cups of water and 3 cups of drink mix. So the ratio of drink mix to water is 3:8.

Answer:

D 10% of her customers ordered an appetizer and dessert

Step-by-step explanation:

Equation of ellipse is x²/400 + (y-52) ²/256 =1

An ellipse is an oval shaped close geometrical figure. Ellipse has two radius, one is horizontal, and the other is vertical. An ellipse can be stretched either horizontal direction or vertical direction.

given, width of elliptical mirror = 16 inches

height of elliptical mirror = 20 inches

the center of ellipse = (0, 52)

as the width of elliptical mirror is less than height so the ellipse has vertical major axis.

vertical radius is denoted by b.

and horizontal radius is denoted by a.

as per the question, a = 16 inches and b = 20 inches.

we know the equation of ellipse whose major axis is vertical and center at the origin is shown by

x² / b² + y²/ a² = 1

we are given information about an ellipse having center (0, 52) and vertical radius 20 and horizontal radius 16.

the equation of this ellipse is.

x² / (20) ² + (y -52) ²/ (16)² = 1

x²/400 + (y - 52) ² /256 = 1

To learn more about ellipse visit:

https://brainly.com/question/14281133

#SPJ4

If William spends a winter day recording the temperature once every three hours for science class. If  the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. The temperature at 6pm is: -11.1°F

Between 9am and noon, the temperature rose 16.2°F, so the temperature at noon will be:

Temperature at noon  = -12.2 + 16.2

Temperature at noon  = 3.0°F

Between noon and 3pm, the temperature dropped 9.1°F, so the temperature at 3pm will be:

Temperature at 3pm = 3.0 - 9.1

Temperature at 3pm = -6.1°F

Between 3pm and 6pm, the temperature dropped 5°F, so the temperature at 6pm was:

Temperature at 6pm =-6.1 - 5

Temperature at 6pm = -11.1°F

Therefore the temperature at 6pm is  -11.1°F.

Learn more about temperature here:https://brainly.com/question/25677592

#SPJ1

Answer:

See below.

Step-by-step explanation:

X-intercepts: (-7, 0) & (-3, 0)

Axis of Symmetry: x = -5

Y-intercept: (0, -21)

Vertex: (-5, 4)

Answer:

148x - 162.75

x=1.09966

Step-by-step explanation:

Answer:

1,520 pounds

Step-by-step explanation:

40x 38 = 1520

Answer:

118, 310, 232, 196, 428

Step-by-step explanation:

-118 students HAVE set academic goals (64+54)

-310 students HAVE NOT set academic goals (168+142)

-232 MALES (64+168)

-196 FEMALES (54+142)

-428 WERE SURVEYED (196+232)

Answer:

24 shoes.

Step-by-step explanation:

I did 120 divided by how much money she makes for every pair of shoes she sells. 24 times 5 equals 120

Answer:

She will have to sell 14 pairs of shoes

Step-by-step explanation:

120 minus 50 because that's what she make a day no matter what  so that 70 then 70 divided by 5 that is 14.

Answer:

Step-by-step explanation:

The equation for a parabola is of the form y = ax^2 + bx + c, where a, b, and c are constants. The graph of a parabola is a U-shaped curve that is symmetrical about a line called the axis of symmetry.

In the equation (x-1)^2 = y+2, we can rewrite it as y = (x-1)^2 - 2. This is the standard form of a parabola with a = 1, b = 0, and c = -2.

The vertex of the parabola is the point on the graph where the parabola reaches its highest or lowest point. For a parabola in standard form, the vertex is always of the form (h,k), where h and k are the values of x and y, respectively, at the vertex. The vertex of this parabola is (1,-2).

The axis of symmetry of the parabola is a line that divides the parabola into two mirror images. For a parabola in standard form, the axis of symmetry is always the line x = h, where h is the value of x at the vertex. The axis of symmetry of this parabola is the line x = 1.

The directrix of a parabola is a line that is used to define the parabola. For a parabola in standard form, the directrix is always the line y = k + p, where k and p are constants and p is the distance from the vertex to the directrix. The directrix of this parabola is the line y = -2 + p, where p is the distance from the vertex to the directrix.

The focus of a parabola is a point on the axis of symmetry that is used to define the parabola. For a parabola in standard form, the focus is always the point F(h,k+p), where h and k are the values of x and y, respectively, at the vertex, and p is the distance from the vertex to the directrix. The focus of this parabola is F(1,-2+p), where p is the distance from the vertex to the directrix.

To sketch the graph of this parabola, we can start by plotting the vertex at (1,-2). Then we can draw the axis of symmetry, which is the line x = 1. Next, we can choose a value for p and draw the directrix y = -2 + p. Finally, we can use the vertex and focus to plot points on either side of the axis of symmetry, and connect these points to form the U-shaped curve of the parabola.

[asy]

unit size(1cm);

real p = 1.5;

pair F, V;

F = (1,-2+p);

V = (1,-2);

draw((-2,0)--(4,0));

draw((0,-4)--(0,4));

draw((-2,V.y)--(4,V.y),dashed);

draw((F.x,p)--(F.x,-4),dashed);

label("$x$", (4,0), E);

label("$y$", (0,4), N);

label("$y = (x - 1)^2 - 2$", (4,-3), E);

a dot("$F$", F, NW);

a dot("$V$", V, S);

label

Han will make $57.75 for 7 hours of babysitting.

Given is a line segment RT.

We can write RT as -

RT = RS + ST

56 = (7y + 3) + (2y + 8)

(7y + 3) + (2y + 8) = 56

9y + 11 = 56

9y = 45

y = 5

Therefore, the value of {y} will be equivalent to 5.

To solve more questions on line segment, visit the link below -

https://brainly.com/question/1696052

#SPJ1

Answer:

x = -1 ± √109

Step-by-step explanation:

2x • 3x + (2 • 3)x + 6x = 648

According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.

(2 • 3) = 6

Now we have:

2x • 3x + (6)x + 6x = 648

Now let's multiply.

2x • 3x = 6x²

6 • x = 6x

Now we have.

6x² + 6x + 6x = 648

Combine like terms.

6x² + 12x = 648

Let's factor out a 6.

6(x² + 2x) = 648

Divide both sides by 6.

x² + 2x = 108

Let's use completing the square.

Our equation is in a² + bx = c form.

Divide b by 2.

2/2 = 1

Then square it.

1² = 1

Add 1 to both sides.

x² + 2x + 1 = 108 + 1

Simplify.

x² + 2x + 1 = 109

Now we want to factor the left side. A shortcut is just to use b/2.

(x + 1)² = 109

Take the square root of both sides.

x + 1 = ±√109

The square root is as simplified as possible.

Subtract 1 from both sides.

x = -1 ± √109

Hope this helps!

The probability that either the words BAD or CAB will appear as part of the row  is 16.7%

We have 4 places where we can put the cards.

Let's count the number of possible outcomes for each place.

In the first place, we can put one of 4 cards.

In the second place, we can put one of 3 cards (because one card was taken in the first place).

In the third place, we can put one of 2 cards

In the last place, we can put one of one cards.

The total number of different combinations is the product between the number of options for each place, then we have:

4×3×2×1 = 24

Now we need to count the number of combinations such that the words BAD or CAB appear. We have:

BADC

CBAD

CABD

DCAB

That is 4 out of 24.

Thus, the probability that either the words BAD or CAB will appear as part of the row will be:

P(BAD or CAB) = 4/24 = 16.7%

Learn more about probability on:

brainly.com/question/251701

#SPJ1

The probability is 16.7%

Answer:

[tex]the \: forth \: answer \: is \: correct \: answer[/tex]

To solve many simultaneous linear equations, use the substitution method in algebra.

The algebraic technique for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.

The first stage in the substitution approach is to determine any variable's value in terms of the other variable from one equation. If there are two equations, x+y=7 and x-y=8, for instance, we can deduce from the first equation that x=7-y. The substitution approach is applied in this manner as the first stage.

There are three steps in the substitution technique:

Therefore, the answer is x= -2 and y= -8.

To learn more about substitution method refer to:

https://brainly.com/question/22340165

#SPJ1

1) Number of 200 notes = 17,923,275

Number of 100 notes = 35,846,550

Number of 50 notes = 71,693,100

Number of 20 notes = 179,232,750

2) Number of 200 notes = 428,800

Number of 100 notes = 857,600

Number of 50 notes = 1,715,200

Number of 20 notes = 4,288,000

3) Number of 200 notes = 733,685

Number of 100 notes = 1,467,370

Number of 50 notes = 2,934,740

Number of 20 notes = 7,336,850

4) Number of 200 notes = 27,778,135

Number of 100 notes = 55,556,270

Number of 50 notes = 111,112,540

Number of 20 notes = 277,781,350

5) Number of 200 notes = 38,885

Number of 100 notes = 77,770

Number of 50 notes = 155,540

Number of 20 notes = 388,850

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Ghana credits 200,100,50 and 20 notes.

Now,

Since, Ghana credits 200,100,50 and 20 notes.

1) Hence, To credit the amount 3584655000,

Number of 200 notes = 3584655000/200 = 17,923,275

Number of 100 notes =3584655000/100 = 35,846,550

Number of 50 notes =3584655000/50 = 71,693,100

Number of 20 notes = 3584655000/20 = 179,232,750

2) To credit the amount 85760000;

Number of 200 notes = 85760000/200 = 428,800

Number of 100 notes = 85760000/100 = 857,600

Number of 50 notes = 85760000/50 = 1,715,200

Number of 20 notes = 85760000/20 = 4,288,000

3) To credit the amount 146737000;

Number of 200 notes = 733,685

Number of 100 notes = 1,467,370

Number of 50 notes = 2,934,740

Number of 20 notes = 7,336,850

4) To credit the amount 5555627000;

Number of 200 notes = 27,778,135

Number of 100 notes = 55,556,270

Number of 50 notes = 111,112,540

Number of 20 notes = 277,781,350

5) To credit the amount 7777000;

Number of 200 notes = 38,885

Number of 100 notes = 77,770

Number of 50 notes = 155,540

Number of 20 notes = 388,850

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Answer:

Their isn't a figure ???