1) Which of the following is a surd ? a) 64 b) 6 root 64 c) 4 root 64 d) 3 root 64

Answer:

B

Step-by-step explanation:

The answer is B because when you simplify it you get -3x + 10 = 0. Since this is no longer a quadratic equation, you can't solve it using the quadratic formula.

Answer:

B

Step-by-step explanation:

5x^2 -3x+10 = 5x^2

Subtracting 5x^2 from each side

5x^2-5x^2 -3x+10 = 5x^2-5x^2

-3x+10 =0

We cannot use the quadratic formula since a =0

Answer:

Hey there!

There are a total of 20 children, and 2+6, or 8 are girls.

Thus the probability of choosing a girl is 8/20, or 2/5.

There are 2 left handed girls, so the probability is 2/20, or 1/10.

Hope this helps :)

Answer:

see below

Step-by-step explanation:

There are 2+6 = 8 girls

P( girl) = number of girls/ total  = 8/20 = 2/5

P( left handed girl) = number of left handed girls/ total  = 2/20 = 1/10

Answer:

the answer is-1<=x<7.

Step-by-step explanation:

let us replace <= and < sign by equal to(=)

when we do it we get,

-6x +14 = -28 and ex + 28 =25

when we solve them we get,

x=-1 and x= 25 respectively from 1st and 2nd question. so, -1<=x<7 is answer...

hope it will help uh...

Answer:

575 boxes

Step-by-step explanation:

Let the total number of boxes = x

The farmer already loaded [tex]\dfrac25[/tex] of the boxes onto the truck.

Therefore, the remainder [tex]=1-\dfrac25=\dfrac35[/tex]

Since he needed to load 345 more boxes of tomatoes onto the truck.

[tex]\dfrac35 \times x =345\\3x=345\times5\\x=(345\times5) \div 3\\x=575[/tex]

The farmer had 575 boxes of tomatoes to load altogether.

Answer:

C

Step-by-step explanation:

First you find which line is which.

The one with 5x in it is the steepest one, and we have to be above it due to the >.

The one with 2x in it is the least steep, and we have to be below it due to the <.

Graph C satisfies both these restrictions.

Answer:

The correct option is;

The first twenty-five customers

Step-by-step explanation:

For the given data, by calculation, we have;

The population average = 11.45

The average of the first five customers = 13.2

The average of the first ten customers = 11.6

The average of the first twenty customers = 12.5

The average of the first twenty-five customers = 11.72

Therefore both the first ten customers and the first twenty-five customers have good representation of the population mean with the mean of the first ten customers having a value of 11.6 is more closer to the population mean than the mean of the first twenty-five customers

However, by the central limit theorem, as the size of the sample continues to be increasingly larger, it becomes more and more representative of the population mean, this is more so because when the data is sorted, the population mean will be better represented by the mean of a large sample size

Hence the set of sample data needed to best represent the population mean is the first twenty-five customers.

Answer:

d = 13.9965 in

Step-by-step explanation:

Area of a Circle Formula: A = πr²

diameter = 2r

Step 1: Plug in known variables

153.86 = πr²

Step 2: Solve for r

153.86/π = r²

r² = 48.9752

r = √48.9752

r = 6.99823

Step 3: Find d

d = 2(6.99823)

d = 13.9965

Answer:

Step-by-step explanation:

We khow that the area of a cercle is :

A= r²*π where r is the radius

A= 153.86 in²

so : r² = 153.86/π = 48.97 ≈ 49

then r = 7

so the diameter is 14 in

41 degrees

I hope this helps

Answer: A. 41 degrees

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

a^2 + b^2 = c^2

(8sqrt(3))^2 + b^2 = 16^2

64 * 3 + b^2 = 256

192 + b^2 = 256

b^2 = 64

b = 8

The ratio of the lengths of the sides of this triangle is

8 : 8sqrt(3) : 16

which reduces to

1 : sqrt(3) : 2

This is the ratio of the lengths of the sides of a 30-60-90 triangle.

m<W = 30 deg

Answer:

x ≥ -8/3

Step-by-step explanation:

=> [tex]\frac{3x+8}{x-4} \geq 0[/tex]

Multiplying both sides by (x-4)

=> 3x+8 ≥ 0

Subtracting 8 to both sides

=> 3x ≥ -8

Dividing both sides by 3

=> x ≥ -8/3

Answer:

[tex]x\le \:-\frac{8}{3}[/tex]

[tex]x>4[/tex]

Step-by-step explanation:

[tex]\frac{3x+8}{x-4}\ge \:0[/tex]

Multiply both sides by (x - 4).

[tex]\frac{3x+8}{x-4} (x-4) \ge \:0(x-4)[/tex]

[tex]3x+8\leq \:0[/tex]

[tex]3x+8-8\leq \:0-8[/tex]

[tex]3x \leq \:-8[/tex]

[tex]x\le \:-\frac{8}{3}[/tex]

Makes denominator equal to 0.

[tex]x-4=0[/tex]

[tex]x = 4[/tex]

[tex]-8/3 \leq x<4[/tex]  doesn't work in the original inequality.

[tex]x>4[/tex]  works in the original inequality.

Answer:

Between 3 P.M. and 3:30 P.M the hour hand moves 15°.

Step-by-step explanation:

The rotation of the minute hand of a clock between 3 P.M. and 3:30 P.M. is from the the 12 hour mark to the 6 hour mark which is half of one complete cycle

One complete cycle of clock rotation = 360° = 12 hours

Therefore, the hour hand rotates 360/12 = 30° for each hour

Given that the time between 3 P.M. and 3:30 P.M. is 30 minutes = 1/2 an hour

The rotation of the hour hand between 3 P.M. and 3:30 P.M = Half the rotation for 1 hour

∴ The rotation of the hour hand between 3 P.M. and 3:30 P.M = 30°/2 = 15°

Between 3 P.M. and 3:30 P.M the hour hand moves 15°.

Answer:

the answer is approximately 6.047

→Answer:

7.431, 149/20, 7.46, 7 6/11

→Step-by-step explanation:

Well, first let's make all the numbers in decimal form.

7.5454 - 7 6/11

7.45 - 149/20

7.431

7.46

So, we can order them now.

7.431, 7.45, 7.46, 7.5454

Now we can put them back into their original status.

7.431, 149/20, 7.46, 7 6/11

____________________________________________________________

Answer:

A = 18.5

Step-by-step explanation:

A = bh

A = 7.4(2.5)

A = 18.5

Answer:

18.

Step-by-step explanation:

Step-by-step explanation:

The total amount of seat in the train is the total number of carriages multiplied by the number on each carriages = 32 × 15 = 480seats

A. number of trains needed for 350,000 passengers = 350,000/ 480 = 729 trains approximately

Answer:

like he said up their.

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Answer: b ~= 6.71

Answer with Steps:

tan(50) = 8/b

b = 8/tan(50)

b ~= 6.71

Answer:

$6

Step-by-step explanation:

Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.

The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),

where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.

x is number of $1 increments above the initial price of $4.  (x=0 means a price of $4, x=1 means a price of $5, etc.)

The revenue is -7x²+32x+240.  The average number of tacos sold is the revenue divided by the price.

For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.

If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.

Each time x increases by 1, the number of tacos sold decreases by 7.

Continuing:

[tex]\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right][/tex]

The optimal price is $6.  At this price, the revenue is a maximum at $276.

Answer:

See bolded / underlined / italicized below -

Step-by-step explanation:

This is a great question!

If x were the length of this rectangle, then we could conclude the following,

2( 38 ) + 2( x ) > 692,

As you can see there is a greater than sign present, as the perimeter is at least 692 centimeters. In this case the perimeter is given to be at least 692 centimeters, but can also be calculated through double the width and double the length together. And of course we are given the width to be 38 cm -

2( 38 ) + 2x > 692,

76 + 2x > 692,

2x > 616,

x > 308

Solution = Length should be at least 308 cm

( The attachment below is not drawn to scale )

Step-by-step explanation:

I am giving you to solve the new price of Book.

[tex]new \: price \: = 13 - 29\% \: of \: 13 \\ = 13 - 0.29 \times 13 \\ = 13 - 3.77 \\ = \pounds 9.23[/tex]

Follow the same suite to find the new costs of remaining items.

Answer:

Step-by-step explanation

x .  y

-1 . 1

0 .  3

1 .   5

2 .  7

3    9

Answer:

When x = -1, y = 1.

When x = 0, y = 3.

When x = 1, y = 5.

When x = 2, y = 7.

When x = 3, y = 9.

Answer:

d.) 36

Step-by-step explanation:

f(x) = 4.[tex]3^{x}[/tex]

f(2) = 4 × 3² = 4 × 9 = 36

Answer:

C

Step-by-step explanation:

8 - |2g - 5|

= 8 - |-2 * (-3.5) - 5|

= 8 - |7 - 5|

= 8 - |2|

= 8 - 2 = 6

Answer:

12

Step-by-step explanation:

[tex]nPr=\frac{n!}{(n-r)!}[/tex]

So in your case, n = 4 and r = 2.

n! = 4! = 4*3*2*1

(n-r)! = (4-2)! = 2! = 2*1

So....

[tex]\frac{4*3*2*1}{2*1}=\frac{24}{2}=12[/tex]

Answer:

(5.50×70)+9.70×55

Step-by-step explanation:

(5.50×70)+9.70×55

Answer:  5.  P = (-4, 6)   R = (-4, -4)

               6. (a) a = 4, b = 3      (b) BC = 8     (c) B = (3, 4)

               7. (a) m = 4, n = 6     (b) PQ = (-2, 6)     (c) SR = (2, -6)

Step-by-step explanation:

5. The distance from Q (4, 0) to A (0, 3) is 4 left and up 3.

   So the distance from A to P is 4 left (0 - 4) and up 3 (3 + 3)

   --> P = (-4, 6)

    Similarly, the distance from Q (4, 0) to B (0, -2) is 4 left and down 2.

   So the distance from A to P is 4 left (0 - 4) and down 2 (-2 - 2)

   --> P = (-4, -4)

6. Follow the same steps as #5 (above) to get the following coordinates:

   A = (-3, 4)   B = (3, 4)

   D = (-3,-4)  C = (3, -4)

a) a = 4, b = 3

b) BC = 2(4) = 8

c) B = (3,4)

7. Follow the same steps as #5 (above) to get the following coordinates:

   P = (-4, 6)    Q = (0, 6)

   S = (0, -6)    R = (4, -6)

a) m = 4, n = 6

b) midpoint PQ = (-2, 6)

c) midpoint SR = (2, -6)

Answer:

Hope this helps you

Answer:

19/40

Step-by-step explanation:

just divide the number of girls by the total number of students.

323/680 = 19/40 or 0.48

Answer:

c=3d

Step-by-step explanation:

What equation models the data in the table if d = number of days and c = cost? Days Cost 2 6 3 9 5 15 6 18

Answer: An equation is a statement used to show the relationship between variables and shows the equality between two expressions. We want to find the relationship between the number of days and the cost.

Given that:

Days  Cost

2          6

3          9

5         15

6         18

Lets take the ratio of days to cost using the first row:

[tex]\frac{d}{c}=\frac{2}{6}\\ \frac{d}{c}=\frac{1}{3}\\c=3d[/tex]

The relationship c = 3d is true for all values of days and cost

Hey there! :)

Answer:

x = -36.

Step-by-step explanation:

Starting with:

-1 = 5 + x/6

Begin by subtracting 5 from both sides:

-1 - 5 = 5 - 5 + x/6

-6 = x/6

Multiply both sides by 6:

-6 · 6 = x/6 · 6

-36 = x.

Answer:

x = -36

Step-by-step explanation:

- 1 = 5 + x/6

Subtract 5 on both sides.

-1 - 5 = x/6

-6 = x/6

Multiply both sides by 6.

-6 × 6 = x

-36 = x