Luke randomly selects 25 students from his school and asks each of them how many minutes they read each night to find out how much, on average, students at his school read. This represents which type of data collection

Answer:

0.25

Step-by-step explanation:

t/4+16=17

t=(17-16)/4

=0.25

Answer:

90.8

Step-by-step explanation:

20/13 = x/59

13x = 1180

x=90.76

x=90.8

Answer:

No solution

Step-by-step explanation:

The given lines on the graph are parallel . So they will never intersect each other. Therefore they have no solution.

Answer:

Step-by-step explanation:

answer is 98 degree because the relation between missing angle and 98 degree is alternate exterior angles and alternate exterior angles are always equal.

answer is 89 degree because the relation between missing angle and 89  degree is corresponding angles and corresponding angles are always equal.

in the 5th question

let's consider the angle there as A so angle A is 98 degree and by the relation of alternate angles the question mark (?) is 98 degree

in 6th question

by the relation of corresponding angles the question mark(?) is 89 degree

Answer:

13/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

HOPE IT HELPS MUCH

Answer: I think it’s the first one

Step-by-step explanation:

It says per hour and 15 bucks plus 5 bucks PERhour so you would have to be multiplying I did a question like this long ago hope you get it right

The equation represents this linear relationship for total cost is y= 5x + 15​  thus option (D) is correct.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

She charges a flat fee of $15 plus $5 per hour.

For x number of hours, the total cost will be as,

y = 15 + 5x

Hence "y= 5x + 15 is the equation that depicts this linear relationship for total cost". ​

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Answer:

x=67

y=40

The angles equal 63 and 117

Step-by-step explanation:

88% sure

Let's take a look at our table here in order to solve the problem. We need to know what g(0) and g(4) are to be able to solve.

Since we are plugging in x-values and looking for y-values, we simply need to find 0 and 4 on the left side of the table (the x side), and then find their corresponding g(x), or y, values.

g(0) = -5

g(4) = -4

Now, all that's left to do is add these two values.

-5 + -4

-9

Hope this helps!! :)

Answer:

- 9

Step-by-step explanation:

g(0) = - 5 ← value of g(x) when x = 0

g(4) = - 4 ← value of g(x) when x = 4

Then

g(0) + g(4) = - 5 + (- 4) = - 5 - 4 = - 9

Answer:

D. Axis of symmetry: x = –0.5; Vertex: (–0.5, 0.75); f(x) = x2 + 2x + 1

Step-by-step explanation:

A. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 1 /2 , 1 /4 )

Focus:  

( 1 /2 , 0 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

− 6

− 1

− 2

1

2

1

4

1

0

2

− 2

B. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 /2 , 3 /4 )

Focus:  

( − 1 /2 , 1 )

Axis of Symmetry:  

x

=

−

1

2

Directrix:  

y

=

1

2

x

y

− 2

3

− 1

1

− 1

2

3

4

1

3

2

7

C. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( 1 /2 , 3 /4 )

Focus:  

( 1 /2 , 1 )

Axis of Symmetry:  

x

=

1

2

Directrix:  

y

=

1

2

x

y

− 2

7

− 1

3

1

2

3

4

1

1

2

3

D. Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

( − 1 , 0 )

Focus:  

( − 1 , 1 /4 )

Axis of Symmetry:  

x

=

− 1

Directrix:  

y

=

− 1

4

x

y

− 3

4

− 2

1

− 1

0

0

1

1

4

Answer:

D. –10

Step-by-step explanation:

Given equation:

y = 3x – 1

what is the value of y when x equals –3?

Substitute x = -3 into the equation to find y

y = 3x – 1

= 3(-3) - 1

= -9 - 1

= -10

y = -10

The correct answer is D. –10

Answer:

D).

Step-by-step explanation:

I took the test.

Answer:

4

Step-by-step explanation:

3 + 3.4 = 6.4

which is greater than 4

the sum of the 2 smallest sides have to be greater than the largest side

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos24° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] → C

Note

sin24° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{10}[/tex] ( which does not include x )

tan24° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4}{x}[/tex] ≠ [tex]\frac{x}{4}[/tex]

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

x + 7 = 92

x = 92 - 7

x = 85

The value of x is 85

Answer:

8.7

Step-by-step explanation:

Answer:

Solution given:

x^3 - 2x^2 -x+2

take common from two each term

x²(x-2)-1(x-2)

take common again and keep left one on other bracket

(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.

note:using formula a²-b²=(a+b)(a-b) for x²-1.

Answer:

[tex](x - 1)(x + 1)(x - 2)[/tex]

Step-by-step explanation:

[tex]x^3 - 2x^2 - x + 2[/tex]

[tex]=> x^2(x - 2) -1(x - 2)[/tex]

[tex]=> (x - 2)(x^2 - 1)[/tex]

[tex]=> (x - 2)(x + 1)(x - 1)[/tex]

Răspuns:

150 m

Explicație pas cu pas:

Reamintim:

Perimetrul unui dreptunghi, P

P = 2 (lungime + lățime)

P = 400

Lățime = x

Lungime = 3x

Astfel, avem:

400 = 2 (3x + x)

400 = 2 (4x)

400 = 8x

Împărțiți ambele părți la 8

50 = x

Lungime = 3x

Lungime = 3 * 50

Lungime = 150 m

x = -2

−12x−2(x+9)=5(x+4)

Use the distributive property to multiply −2 by x+9.

−12x−2x−18=5(x+4)

Combine −12x and −2x to get −14x.

−14x−18=5(x+4)

Use the distributive property to multiply 5 by x+4.

−14x−18=5x+20

Subtract 5x from both sides.

−14x−18−5x=20

Combine −14x and −5x to get −19x.

−19x−18=20

Add 18 to both sides.

−19x=20+18

Add 20 and 18 to get 38.

−19x=38

Divide both sides by −19.

x=  

−19

38

​

Divide 38 by −19 to get −2.

x=−2

The required simplified value of x for the given equation is -2/19.

To determine the value of x that makes equation -12x - 2(x + 9) = 5(x + 4) true.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

-12x - 2(x + 9) = 5(x + 4)
-12x -2x  - 18 = 5x + 20
-14x - 18 = 5x  + 20
-14x - 5x = 20 - 18
-19x  = 2
x = -2/19

Thus, the required simplified value of x for the given equations is -2/19.

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Answer:

Step-by-step explanation:

Roots:  set y = x^2 + 8x + 12 = 0 and solve for x:  x + 6 = 0, so x = -6 is one root.  The other is x = -2.  The corresponding points are (-6, 0) and (-2, 0).

y-intercept:  Let x = 0.  Then y = 12.  The y-intercept is (0, 12).

Axis of symmetry:  x = -b / (2a) => x = -8/(2*1) = -4:  x = -4

Vertex y-value:  evaluate y at x = - 4:  (-4)^2 + 8(-4) + 12 = -4:    (-4, -4)

Arbitrarily chosen x value:  x = 1 => 1^2 + 8(1) + 12 = 21:     (1, 21)

The five points are:  (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21).  The vertex is (-4, -4).  The parabolic graph opens UP.

The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = x² + 8x + 12

Conver the equation into a vertex form. Then we have

y = x² + 8x + 12

y = x² + 8x + 16 - 16 + 12

y = (x + 4)² - 4

The vertex of the parabolic equation y = x² + 8x + 12 will be at (-4, -4).

The graph is given below.

More about the equation of the parabola link is given below.

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Answer:

Numbner of plant in field = 2,020

Cost of planting trees = R.s 151,500

Step-by-step explanation:

GIven:

Side of square field = 45 m

Area of well = 5 square meter

1 plant = 1 squre meter

Cost per tree = R.s 75

Find:

Numbner of plant in field

Cost of planting trees

Computtaion:

Area of planting trees = Area of filed - Area of well

Area of planting trees = [45 x 45] - 5

Area of planting trees = 2,025 - 5

Area of planting trees = 2,020 squre field

Numbner of plant in field = Area of planting trees /  1 squre meter

Numbner of plant in field = 2,020

Cost of planting trees = 75 x Numbner of plant in field

Cost of planting trees = 75 x 2,020

Cost of planting trees = R.s 151,500

Answer:

61.2

Step-by-step explanation:

base=6

height=10

Area of parellelogram=base x height

=6x 10.2

=61.2 sq.ft

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Answer:

[tex]a _{n} = a( {r}^{n - 1} ) \\ a _{n} = 80(2 {}^{n - 1} ) \\ a _{n} = \frac{80. {2}^{n} }{ {2}^{ 1} } \\a _{n} = 40( {2}^{n} ) \\ a _{n} = ( {2}^{3} \times 5)( {2}^{n} ) \\ a _{n} = 5( {2}^{n + 3} )[/tex]

Answer:

I'm pretty sure your answer is 3, -4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

1 picnic table : 9 benches

Step-by-step explanation:

You just simplify the equation down to its simplest form, so since they both have the gcf of 6, you divided both sides by 6, which results in the answer above.

Answer:

2

Step-by-step explanation:

x + 1/x = 2

x + 1 = 2x

x = 1

x³ + 1/x³

1³ + 1/1³.

1 + 1/1 = 1 + 1 = 2

Answer:

X=0 or x=8/5

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

C' (- 3, 2 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

C (3, 2 ) → C' (- 3, 2 )