65) Driving time: A family is planning to drive 549 miles from their home in Lincoln, Nebraska, to Mount
Rushmore National Park. They plan to drive at an average speed of 61 miles per hour. How much time will they
spend driving?

Answer:

We have to travel 26.93 units from platform B to C.

Step-by-step explanation:

Length of a segment having coordinates [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is determined by the formula,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the graph attached,

Coordinates of the points B and C are (-25, -20) and (-15, 5) respectively.

Distance between these points B and C Or length of BC will be,

BC = [tex]\sqrt{(-25+15)^2+(-20-5)^2}[/tex]

     = [tex]\sqrt{100+625}[/tex]

     = [tex]\sqrt{725}[/tex]

     = [tex]5\sqrt{29}[/tex]

     = 26.93 units

Therefore, we have to travel 26.93 units from platform B to C.

Answer:

22.4 meters

Step-by-step explanation:

Because the distance and stuff I don't really know sorry

Answer:

a) 24

b) Bowtown and Dovebury

c) 57

Evin is walking home from the museum. She starts 38 blocks from home and walks 2 blocks each minute. Evin's distance from home is a function of the number of minutes she has been walking.

(a) which variable is independent and which variable is dependent in this scenario?

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks  

Answer:

Step-by-step explanation:

From the given information:

(a) which variable is independent and which variable is dependent in this scenario?

An independent variable is a variable that when two variable occurs in a particular event, one variable does not in any way affect the event of the other variable.

A dependent variable is a variable where on variable is dependent on the other variable.

From the question given;

time (t) in minutes is the independent variable

Distance D from home is the dependent variable

(b) Fill  in the table below for a variety of time values.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      

We are being told that Evin starts 38 blocks from home,

Then she is just starting, i.e from rest

Then; at time t = 0 , she is 38 block distance from home

However, if she walks 2 blocks each minute,

then after 1 minute , that will be 38 blocks - 2 blocks = 36 blocks distance from home.

If she walks for 5  minutes,

then she will be (38 - 2(5) ) blocks away from home

= 38 - 10

= 28 blocks away from home

If she walks for 10 minutes,

then she will be (38 -2(10)blocks away from home

= 38 - 20

= 18 blocks away from home.

Time, t, in minutes                                0               1            5          10

Distance from home, D, in blocks      38              36         28        18

Answer:

5^3 and (-4)^2

Step-by-step explanation:

A^b means a is the base and b is the exponent

Answer:

K = 12

Step-by-step explanation:

10 Cos 30° – 3 Tan 60°

The above expression can be simplified as follow:

10 Cos 30° – 3 Tan 60°

Recall:

Cos 30° = √3/2

Tan 60° = √3

Therefore,

10 Cos 30° – 3 Tan 60°

10 (√3/2) – 3(√3)

5√3 – 3√3

(5 – 3) √3

2√3

To write the above expression 2√3 in the form √K, we simply do the following:

2√3

Find a number, such that the square root of the number will result to 2. The number is 4 as shown below

√4 = 2

Next, replace 2 with √4 in the expression above

2√3

= √4 × √3

= √(4 × 3)

= √12

Therefore,

2√3 = √12

Comparing √12 with √K,

√12 = √K

K = 12

Answer:

 (0 + m)/2, (0 + n)/2.

Step-by-step explanation:

The  x coordinate of the  midpoint must be halfway  between the x coordinates of  A and B, and the y coordinate must be  found in the same way.

So the midpoint is  (0 + m)/2, (0 + n)/2.

Answer:

Angle= 135°

Step-by-step explanation:

FUZ CIA

Corresponding angles are equal

Answer:

1

Step-by-step explanation:

|x| means the absolute value, which is 4 and -4

Answer:

A

Step-by-step explanation:

So we have the equation:

[tex]|x|=4[/tex]

Solve for x. Use the definition of absolute value:

[tex]|x|=4[/tex]

This means that:

[tex]x=4\text{ or } x=-4[/tex]

And... we're done :)

The answer is A.

Answer:

Yes

Step-by-step explanation:

Transformation of a two-dimensional shape or pre-image or polygon in mathematics is the manipulation of the two-dimensional object or pre-image or polygon within a system of coordinates or plane.

Transformations are a guide to the nature of the pre-image and image of two dimensional shape as it is translated within a system of coordinates

Rigid transformations are those that does not involve a change in the size of the pre-image, and includes reflections, rotations, and translations

Therefore, the line undergoes rigid transformation and the dimensions of the line is preserved making it still a line segment.

Bruhhh, I think we got to the same online school XD

Answer:

11/12

Step-by-step explanation:

Nesta questão, estamos interessados ​​em saber em que fração do álbum de figurinhas ambos contribuíram.

Pela pergunta, ficamos sabendo que Karina contribuiu com 1/6 enquanto Cristina contribuiu com 3/4.

Portanto, para encontrar a fração com a qual ambos contribuem, simplesmente adicionamos as duas frações.

Matematicamente, isso seria 1/6 + 3/4 = (2 + 9) / 12 = 11/12

Answer:

Step-by-step explanation:

Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²

From V = πr³ + 7πr²;

factor out the common variable

V = πr³ + 7πr²

V = πr²(r+7) ... 1

The original volume of a cylinder V =  πr²h .... 2 where;

r is the radius of the cylinder

h is the height of the cylinder

Equating equation 1 and 2, we will have;

πr²(r+7)  =  πr²h

Divide both sides by  πr²

πr²(r+7)/ πr² = πr²h/ πr²

r+7 = h

h = r+7

Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r. The statement means that the height of the cylindrical soup is 7 more than its radius.

Answer:

Step-by-step explanation:

the height of the cylendar is 7 units greater than the radaius

Answer:

1587.57 grams

Step-by-step explanation:

1 pound = 453.592 grams.

so multipy that by 3.5

Answer:

Quadrilateral

Four

Parallel

Four

Right

Congruent

Rhombus

Opposite

Connected

Step-by-step explanation:

Answer:

81.64 inches.

Step-by-step explanation:

You're looking for circumference here.

d = diameter of the wheel

d = 26 inches.

Input your values:

C = π * d

C = 3.14 * d

C = 3.14 * 26 inches

C = 81.64 inches.

Answer:

C≈81.68 in. thus B is the answer (I used more digits for π).

Step-by-step explanation:

Formula C=2πr

Answer:

Increases by a factor 8.

Volume = 685.12.

Step-by-step explanation:

The volume will increase by a factor of 2^3 , because the volume is 3 dimensional.

That is the new volume = 85.64 * 8

= 685.12.

Answer:

z+9(8−x)+8(z+8)=

z+72-9x+8z+64=

9z-9x+136

(3−10)^2−(5−12)^2     parenthesis first

(-7)²-(-7)²=

49-(49)=49-49=0

2^2⋅4^3      exponent first

2*2*4*4*4

4*64=256  

Answer:

Option 1

Step-by-step explanation:

Rational numbers do not have infinite decimals.

Option 1:

-5, 3/4 and √49 are all rational. Correct

√49 = 7

3/4 = 0.75

-5 = -5

Option 2:

1/4 = 0.25

5 = 5

√12 = 3.4641...

Incorrect

Option 3:

-1/2 = -0.5

-3 = -3

√8 = 2.82841...

Incorrect

Option 4:

1/7 = 0.142857...

9 = 9

√11  = 3.31662...

Incorrect

Answer:

2a +ab-9

Step-by-step explanation:

First, write out what you have:

3a-2b-ab-(a-b+ab)+3ab+b-9

Then, distribute the "-" to the "a-b+ab" inside the parenthesis:

3a-2b-ab-a+b-ab+3ab+b-9

Finally, combine like terms and simplify:

3a-a-2b+b+b-ab+3ab-ab-9

2a-2b+2b+3ab-2ab-9

2a+0+ab-9

2a+ab-9 is you equation fully simplified

Answer:

Slope = 1/4

Step-by-step explanation:

Slope = rise/ run

=> slope= 1 = rise / 4 = run

=> Slope = 1/4

Answer:

6/17

Step-by-step explanation:

Given the following :

Number of caramel = 12

Number of dark chocolate = 16

Number of mint = 7

probability fraction of "selecting a caramel" after selecting a dark chocolate and eating it.

After eating means : picking without replacement.

Probability = (Number of required outcomes / total possible outcomes)

Total number of items = ( 7 + 12 + 16) = 35

After first picking a dark chocolate and eating it, total number of items left in the jar becomes:

(35 - 1) = 34

Then,

P(picking a caramel) = (number of caramels / total number of items)

P(picking a caramel) = 12 / 34 = 6/17

Answer:

y- intercept (0, -1.2)

x- intercept (-3, 0)

Step-by-step explanation:

Line is given:

Y- intercept:

When x= 0

Point is (0, -1.2)

X- intercept:

When y = 0

Point is (-3, 0)

Answer:

[tex]\frac{941}{999}[/tex]

Step-by-step explanation:

Let x = 0.941941........

Three digits are repeating. So, multiply both side by 1000

1000x = 941.941941......       (I)

       x =      0.941941....... (II)  {subtract equation (II) from (I)  }

 999x = 941

x = 941/999

Answer:

The difference quotient is 4.

Step-by-step explanation:

Given that:

[tex]g(x) = 4x - 1[/tex]

To find:

Difference quotient = ?

where [tex]h \neq 0[/tex]

Solution:

Formula for Difference quotient is given as:

[tex]\dfrac{g(x+h)-g(x)}{h}[/tex]

First of all, let us find out [tex]g(x+h)[/tex]

Replacing [tex]x[/tex] with [tex]x+h[/tex]

[tex]g(x+h) = 4(x+h)-1 \\\Rightarrow g(x+h) = 4x+4h-1[/tex]

Now,

[tex]g(x+h)-g(x) = (4x+4h-1 )-(4x-1)\\\Rightarrow g(x+h)-g(x) = 4x+4h-1 -4x+1\\\Rightarrow g(x+h)-g(x) = 4h[/tex]

Putting the above value in:

[tex]\dfrac{g(x+h)-g(x)}{h} = \dfrac{4h}{h}[/tex]

We are given that, [tex]h \neq 0[/tex]

[tex]\therefore \dfrac{4h}{h} = 4[/tex]

So, the difference quotient is 4.

Answer:

y≤1

y−x>0

Step-by-step explanation:

I just took the quiz

A graph can be used to represent a system of inequality.

The system of inequality, the graph represents is:

[tex]y \ge 1[/tex] and [tex]y - x > 0[/tex]

The attached graph has two lines.

The thick horizontal line

Below this line, is a shaded region; and it passed through [tex]y = 1.[/tex]

This means that the horizontal line represents all values of y starting from 1.

So, the inequality is:

[tex]y \ge 1[/tex]

A dotted slanted line

First, calculate the slope of the line

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

The line passes through (0,0) and (1,1).

So, we have:

[tex]m =\frac{1-0}{1-0}[/tex]

[tex]m =1[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 1(x - 0) + 0[/tex]

[tex]y = x + 0[/tex]

[tex]y = x[/tex]

The left part of the dotted line is shaded. This represents >.

So, we have:

[tex]y> x[/tex]

Subtract x from both sides

[tex]y - x > 0[/tex]

Hence, the system of inequality, the graph represents is:

[tex]y \ge 1[/tex]

[tex]y - x > 0[/tex]

Read more about system of inequalities at:

https://brainly.com/question/19526736

Answer:

Yes, you have to move because 1 square is one unit.

Answer:

Justin's displacement is 12.65 km.

Step-by-step explanation:

Since Justin rides 12 km south, then 4 km west, his displacement can be determined by applying Pythagoras theorem to the sketch of his journey. Let his displacement be represented by s,

[tex]/Hyp/^{2}[/tex] = [tex]/Adj1/^{2}[/tex] + [tex]/Adj2/^{2}[/tex]

[tex]s^{2}[/tex] = [tex]/4/^{2}[/tex] + [tex]/12/^{2}[/tex]

   = 16 + 144

[tex]s^{2}[/tex]  = 160

⇒ s = [tex]\sqrt{160}[/tex]

      = 12.6491

s ≅ 12.65 km

Justin's displacement is 12.65 km.

Answer:

either 3 1/2 or 7/2

Step-by-step explanation:

4 is equal to 8/2

8/2 minus 1/2 is 7/2

7/2 can be simplified to be 3 1/2

Answer:

Step-by-step explanation:

Diameter ( d ) = 21 cm

Radius is just half of the diameter

Radius ( r ) = [tex] \sf{ \frac{21}{2} }[/tex] = 10.5 cm

Now, let's find the perimeter of a semi - circle :

[tex] \sf \frac{1}{2} \pi \: r \: [/tex]

Plug the values

⇒[tex] \sf{ \frac{1}{2} \times 3.14 \times 10.5}[/tex]

Calculate

⇒[tex] \sf{16.485 \: cm}[/tex]

Hope I helped!

Best regards!

Answer:

1500

Step-by-step explanation:

Step 1: Understand what the question is asking you

It wants to know how much cells do you start off with or in other words how much cells are in the culture when time is 0

Step 2: Set t = 0

[tex]N = 1500(2^{0.18(0)} )[/tex]

Step 3: Solve for N

[tex]N = 1500(2^{0.18(0)} )[/tex]

[tex]N = 1500(2^{0} )[/tex]

[tex]N = 1500(1 )[/tex]

[tex]N = 1500[/tex]

Therefore when the initial amount of cells there in the culture is 1500

Answer:

-2(x - 5)(x + 1)

Step-by-step explanation:

-2x² + 8x + 10

-2(x² - 4x - 5)

-2(x - 5)(x + 1)

Step-by-step explanation:

Hey, there!!

Let's do it simply, ok.

Given that,

[tex] = - 2 {x}^{2} + 8x + 10[/tex]

Take (-2) common to make it easy.

[tex] = -2( 2 {x}^{2} - 8x - 10)[/tex]

= -2{ x^2-(5-1)x -5}

Multily with x,

= -2 {x^2-5x+x-5}

Taking common,

= -2{x(x-5) +1(x-5)

= -2{(x+1)(x-5)}...is your required answer.

Hope it helps...