A cab company charges a fixed amount, plus a fee based on the distance traveled. The rate chart for the company is shown:

Rate Chart
Distance traveled
(miles) (x) | Cost (dollars) (y)
0 | 7
1 | 13
2 | 19


What is the fixed amount charged?
$3
$5
$6
$7

Answer:

This factors out to be

4(2x+5)(2x+5)

GCF is 4.

This equals 4x^2 +20x+25

[tex]\sqrt{4} \\[/tex]=2

[tex]\sqrt{100}[/tex]=10

Therefore these will be the boxes:

Blank 1: 4

Blank 2: 2

Blank 3: 10

Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.

Answer:

[tex]Area \ of \ sector = \pi r^2 \frac{\theta}{360} = \pi \times 5 \times 5 \times \ \frac{75}{360} = 16.35 = 16.4yd^2[/tex]

option 2

9514 1404 393

Answer:

  x ≈ -17.457  or  11.457

Step-by-step explanation:

The distance formula can help.

  d = √((x2 -x1)² +(y2 -y1)²)

Substituting given values, we have ...

  15 = √((x -(-3))² +(9 -5)²)

  225 = (x +3)² +16 . . . . . . . . square both sides

  209 = (x +3)² . . . . . . . . . . . subtract 16

  ±√209 = x +3 . . . . . . . . . take the square root

  -3 ± √209 = x . . . . . . . . subtract 3

  x ≈ -17.457  or  11.457

Answer:

320 cm squared

Step-by-step explanation:

A=2(wl+hl+hw)

2 × (12 × 4 +7 × 4+ 7 × 12)

Have a good day :)

Answer:

C = 18

Step-by-step explanation:

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form

Solution:

A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.

The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).

A right angled triangle is a triangle with one angle equals to 90 degrees.

Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:

sin30 = 9 / C

0.5 = 9 / C

C = 9/0.5

C = 18

Answer:

3

Step-by-step explanation:

Answer:

The answer will be

5.23 × 10

-5

Answer:

5.23 x 10^-5

Step-by-step explanation:

Could you mark me brainliest please?

Answer:

see explanation

Step-by-step explanation:

The dot above the 5 indicates the 5 is repeating , that is

2.7555...

We require 2 equations with the repeating 5 placed after the decimal point.

let x = 2.7555,,, ( multiply both sides by 10 and 100 )

10x = 27.55... → (1)

100x = 275.55... → (2)

Subtract (1) from (2), thus eliminating the repeating 5

90x = 248 ( divide both sides by 90 )

x = [tex]\frac{248}{90}[/tex] = [tex]\frac{124}{45}[/tex]

Answer:

F 20%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Para un punto (x, y), el angulo generado entre el eje x y un rayo que conecta el origen de coordenadas con el punto es tal que:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Y las otras 3 relaciones trigonometricas son las inversas de las de arriba, entonces:

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

En este caso tenemos el punto (4, -3), es decir:

x = 4

y = -3

Solo tenemos que reemplazar esos dos valores en las seis ecuaciones de arriba:

Tan(θ) = -3/4

Cos(θ) = 4/(√(4^2 + (-3)^2)) = 4/5

Sin(θ) = -3/(√(4^2 + (-3)^2)) = -3/5

Ctg(θ) = 4/(-3) = -4/3

Sec(θ) =  √(4^2 + (-3)^2)/4 = 5/4

Csc(θ) = √(4^2 + (-3)^2)/-3 = 5/-3 = -5/3

Given:

Segment MN has endpoints at M(-6, -3) and N(9,7).

Point Q lies on MN such that MQ:QN = 3:2.

To find:

The coordinates of point Q.

Solution:

Section formula: If a point divides of line segment whose end points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in m:n, then the coordinates of that points are:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Segment MN has endpoints at M(-6, -3) and N(9,7) and Point Q lies on MN such that MQ:QN = 3:2. By using section formula, we get

[tex]Q=\left(\dfrac{3(9)+2(-6)}{3+2},\dfrac{3(7)+2(-3)}{3+2}\right)[/tex]

[tex]Q=\left(\dfrac{27-12}{5},\dfrac{21-6}{5}\right)[/tex]

[tex]Q=\left(\dfrac{15}{5},\dfrac{15}{5}\right)[/tex]

[tex]Q=\left(3,3\right)[/tex]

Therefore, the coordinates of point Q are (3,3).

Answer:

A kite has only 1 pair of opposite congruent sides, whereas a parallelogram has 2 pairs of opposite congruent sides

Hope this helps!

Answer:

Option D

Sine and cosine are same for complementary angles.

Answer:

the human right movement was leaded by my father who if very good at his job

Step-by-step explanation:

Answer:

the surface area is 133cm.

7 x 7 is 49

7 x 6 is 42.

42 divided by 2 is 21.

21 x 4 is 84

So 84 + 49 is 133.

A) 2x+5=9 then if x=1

2+5=9 which is wrong then A is wrong

B) x=2

2×2+5=9

4+5=9

then B is correct

C) x=3

2×3+5=9

6+5=9

then C is wrong

D) 2x+5<9

2×1+5<9

2+5<9

7<9

D is correct

E)x=2

2×2+5<9

4+5<9

9<9

E is wrong

F) x=3

2×3+5<9

6+5<9

11<9

F is wrong

Answer:

arithmetic sequence

Step-by-step explanation:

There is a common difference between consecutive terms , that is

d = 7 - 4 = 10 - 7 = 13 - 10 = 16 - 13 = 3

This indicates the sequence is arithmetic with common difference d = 3

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Slope = Change in y over change in x

Looking at the graph, as y goes up 4 x goes up 2

Thus, slope = 4/2 or 2

Answer:

S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...

Step-by-step explanation:

That's it hope it helps.^^

#carryonlearning

Answer:

n = 5.25

Step-by-step explanation:

6.5 = 1.25 + n

6.5 - 1.25 = 1.25 - 1.25

5.25 = n

Calculation: 2/3 - 1/2 - fraction calculator. The result is 1/6 ≅ 0.1666667 = onesixth. ... Solve problems with two, three, or more fractions and numbers in one ... From a 1 meter ribbon, Ericka cut 2/4 meter for her hat and another 1/4 meter for ...

Answer:

hi people of the 21 century

Step-by-step explanation:

==================================================

Explanation:

Let a = 4 and b = 18 be the two known sides of the triangle.

Let c be the remaining side

We'll use a version of the triangle inequality theorem to set up the possible range of values for c.

The range of values for c is determined by the following

b-a < c < b+a

18-4 < c < 18+4

14 < c < 22

Telling us that the third side c is between 14 and 22, excluding both endpoints. This means c = 14 and c = 22 are not allowed. If either value were to happen, then the triangle becomes a single line instead. Try it out with slips of paper.

Because c = 14 is not allowed, we must go to the next whole number up. Therefore, c = 15 is the smallest possible length for the third side, when the third side is a whole number.

If the third side wasn't a whole number, then we could have something like c = 14.1 or c = 14.01 or c = 14.001 or c = 14.0001, and so on. We could steadily get closer and closer to 14, but never actually arrive to it. In short, there is no "smallest third side". This is likely why your teacher is focusing on the whole numbers so there is a smallest value of c possible.

Extra info: As you can probably guess, the largest side possible is c = 21, which is one less than 22. Like above, this is only possible if c is a whole number.

Answer:15

Step-by-step explanation: i got it right

Answer:

68

Step-by-step explanation:

Measure of arc = Measure of corresponding central angle

Thus, if the measure of an arc = 68, then the measure of its central angle also = 68

Answer:

the value that belongs there is 26

Step-by-step explanation:

sin56

Since tan56 = -----------

cos56

sin56 = 26/z

cos 56 = x/z

tan56 = 26/x

Answer:

=70x^2-138x-72

Step-by-step explanation:

attached is the work in foil method