The largest circular shape my piece of string can form has a diameter of 8 cm long. How long is the diameter of the largest circular shape that half my piece of string can form?

Answer:

60 miles per hour.

Step-by-step explanation:

420 miles in 7 hours is the same thing as (420 / 7) = 60 miles per hour.

Hope this helps!

Answer:

60 miles / hour

Step-by-step explanation:

The unit rate will be the number of miles in 1 hour. Therefore, we must divide the miles by the hours.

miles/hours

We know it is 420 miles in 7 hours.

420 miles / 7 hours

Divide 420 by 7

420/7=60

60 miles/ hour

The unit rate is 60 miles per hour.

Answer:

d= 6

r= 6/2

r=3

V= π. r². h

V= π . 3². 14

V= π. 9 . 14

V= π 126 cm³

V= 126 π cm³ (π not in number)

hope it helps^°^

Answer:if you use the formula it is 126 pi cm cubed

The answer is c

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.

a=16

b=63

c=65

[tex]16^2+63^2=65^2[/tex]

Evaluate each exponent.

16^2=16*16=256

[tex]256+63^3=65^2[/tex]

63^2=63*63=3969

[tex]256+3969=65^2[/tex]

65^2=65*65=4225

[tex]256+3969= 4225[/tex]

Add 256 and 3969

[tex]4225=4225[/tex]

The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.

Answer: 15

Step-by-step explanation:

General terms in AP

f, f+d, f+2d, f+3d, ....  , where f= first term and d= common difference.

The given A.P. : 18, a, b, - 3

here, f= 18    

[tex]f+d= a ...(i)\\\\f+2d = b ...(ii)\\\\f+3d= -3 ...(iii)\\\\[/tex]

Put f= 18 in (iii) ,

[tex]18+3d=-3\\\\\Rightarrow\ 3d= -3-18\\\\\Rightarrow\ 3d= -21\\\\\Rightarrow\ d=-7[/tex]

Put f= 18 and d= -7 in (i) and (ii) , we get

[tex]a=18+(-7)=11\\\\b=18+2(-7)\\\\\Rightarrow\ b=18-14\\\\\Rightarrow\ b=4[/tex]

Now, [tex]a+b= 11+4=15[/tex]

Hence, the correct answer is "15".

Answer:

x=25

Step-by-step explanation:

you know that both angles equal the same degrees, so the bottom one is 150° so the other is also 150°. You already have 50° so all you need left is 100°. divide 100 by 4 and you get x=25

Answer:

see below

Step-by-step explanation:

4.2 x 10^6 − 1.2 x 10^5 − 2.5 x 10^5

All exponent have to have the same number

42 x 10^5 − 1.2 x 10^5 − 2.5 x 10^5

Subtract the number

42 - 1.2 - 2.5 = 38.3

Add back the exponent

38.3 * 10 ^5

This is not in scientific notation

Move the decimal one place to the left and add one to the exponent

3.83 * 10^6

3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8

All exponent have to have the same number

3.3 x 10^9 + 2.6 x 10^9 + .77 x 10^9

Add the numbers

3.3+2.6+.77 =6.67

Add back the exponent

6.67*10^9

This is in scientific notation

8.0 x 10^4 − 3.4 x 10^4 − 1.2 x 10^3

All exponent have to have the same number

8.0 x 10^4 − 3.4 x 10^4 − .12 x 10^4

Subtract

8.0 - 3.4 - .12 = 4.48

Add back the exponent

4.48* 10^4

This is in scientific notation

Answer:

  3 1/2 hours

Step-by-step explanation:

This is a problem in units conversion. We want to get from bags to hours by way of minutes per bag. One bag takes an effort of 2/3 person·minute, so we need to divide the total effort by the number of persons and convert minutes to hours.

  (1575 bags)×(2/3 person·min/bag)/(5 person)/(60 min/h)

  = (1575)(2/3)(1/5)(1/60) h = 3.5

It will take the 5 of them about 3 1/2 hours to prepare 1575 bags.

Answer:

3 1/2

Step-by-step explanation:

Answer:

k=0

Step-by-step explanation:

[tex]k+(2-5k)(6)=k+12\\k-30k+12=k+12\\12-12=29k+k\\0=30k\\k=0[/tex]

Answer:

k=0

Step-by-step explanation:

Answer: (-6,8)

Step-by-step explanation:

Translation rules are

Left c units : [tex](x,y)\to(x-c,y)[/tex]

Down c units : [tex](x,y)\to(x,y-c)[/tex]

The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:

[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]

Hence, the image point is (-6,8).

Answer:

1. Write both ratios as fractions and reduce them completely. If they are the same fraction, the ratios form a proportion.

2. Write both ratios as fractions. Do the cross products by multiplying the denominator of each fraction by the numerator of the other fraction. If the cross products are equal, the ratios form a proportion.

Answer:

Step-by-step explanation:

Use the formula

[tex]A(t)=P(1+r)^t[/tex] where P is the initial investment, r is the interest rate in decimal form, and t is the time in years. Filling in what we are given:

[tex]A(t)=5000(1+.05)^6[/tex] and simplifying a bit:

[tex]A(t)=5000(1.05)^6[/tex] and a bit more:

A(t) = 5000(1.340095641) so

A(t) = 6700.48

Answer:

discuss this question is about packhouse a small plant can travel 400 kilometre aur 2000 kilometre find the speed with a plan with no wind and a speed on the answer you will be given to you divide 5 400 the four hundred and 51 you divide the answer to get dawat 310 you will find the extra answer

Answer:

k=10BY DPING PROCESS IT BECOME

Answer: 0.008

Step-by-step explanation:

We have 3 experiments.

Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".

in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:

p = 1/5.

And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:

P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008

Answer:

[tex]\large \boxed{\mathrm{Option \ C}}[/tex]

Step-by-step explanation:

[tex]{\mathrm{view \ attachment}}[/tex]

[tex]-\sqrt{-64}=-\sqrt{8^2\cdot (-1)}-8\sqrt{-1}=-8i[/tex]

Answer:

Step-by-step explanation:

a). 'Per ml' cost of the small size = [tex]\frac{\text{Sale price of small cane}}{\text{Amount of liquid}}[/tex]

                                                       = [tex]\frac{4.50}{250}[/tex]

                                                       = $0.018

'Per ml' cost of the medium size = [tex]\frac{\text{Sale price of medium cane}}{\text{Amount of liquid}}[/tex]

                                                        = [tex]\frac{9.95}{500}[/tex]

                                                        = $0.0199

     'Per ml' cost of the large size = [tex]\frac{\text{Sale price of large cane}}{\text{Amount of liquid}}[/tex]

                                                      = [tex]\frac{16.95}{1000}[/tex]

                                                      = $0.01695

Therefore, expression to compare per ml cost of three containers will be,

$0.0199 > $0.018 > $0.01695  

b). Least expensive way to buy the cleaner is to choose the container with least per ml cost.

Cost of 1500 ml cleaner = Cost of 1000 ml cleaner + Cost of 500 ml of cleaner

                                        = Cost of 1000 ml cleaner container + Cost of 'n' containers of 250 ml container

Total cost of 1500 ml = $16.95 + $4.50n

                                    = 16.95 + 2(4.5) [For n = 2]

                                    = $25.95

c). Most expensive way to purchase 1500 ml cleaner is to choose the most expensive cleaners

Cost of 1500 ml cleaner = Cost of 'n' containers of medium size containers

                                        = 9.95(n)

                                        = 9.95(3)

                                        = $29.85

Answer:

Step-by-step explanation:

x^2 - 17 x + 60

we should find two numbers such that their sum is equal to -17 and product is equal to 60

The two numbers are -12 and -5

now, x^2 - 12 x - 5 x + 60 { splitting the middle term }

x ( x- 12 ) - 5 ( x - 12 )

= ( x - 5 ) ( x - 12 )

hope this helps

plz mark as brainliest !!!!!!                        

Answer:

Step-by-step explanation:

[tex]x^2-17x+60\quad \implies\quad a=1\,,\quad b=-17\,,\quad c=60\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot1\cdot60}}{2\cdot1}=\dfrac{17\pm\sqrt{289-240}}{2}=\dfrac{17\pm\sqrt{49}}{2}\\\\x_1=\dfrac{17-7}{2}=5\quad,\qquad x_2=\dfrac{17+7}{2}=12\\\\\\x^2-17x+60=(x-5)(x-12)[/tex]

or:

    x² - 17x + 60 =

= x² - 12x - 5x +60 =

= x(x - 12) - 5(x - 12) =

= (x - 12)(x - 5)

Answer:

12 to the power of -2 is 0.00694444444

Step-by-step explanation:

When ever doing a number to the power of a negative number, the result will always be a fraction of a number.

Or

Fraction:

1/12^2

which is

1 / 144

Percentage:

0.00694444444 * 100 = 0.694444444%  

Hope this helps, have a good day :)

(brainliest would be appreciated?)

The simplest form of the given expression [tex]12^{-2}[/tex] is 1/144.

The given expression is,

[tex]12^{-2}[/tex]

Here we can see that 12 has inverse power of 2.

Simplify it using basic rules of exponents.

To do so, we need to understand that a negative exponent indicates that the base should be inverted.

In other words, [tex]12^{-2}[/tex] is the same as 1/12²

To simplify this further,  

Evaluate 12², which is,

12² = 12 x 12

     =  144

Therefore, 1/12² can be expressed as 1/144.

Hence,

In the simplest form, we can write [tex]12^{-2}[/tex] as 1/144.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Answer:

64 students drink coke only

34 students drink pepsi only

Step-by-step explanation:

Here, we want to know the number of students that drink coke only and number of students that drink pepsi only.

Let the number of students that drink both be x

Mathematically,

n(μ) = 119 where μ represents the universal set

n(P) = 39

n(C) = 69

n(C n P) = x

n(C n P)’ = 16

n(P) only = 39 - x

n( C) only = 69 - x

Mathematically;

119 = (69-x) + (39-x) + x + 16

119 = 69 + 39 + 16 -2x + x

119 = 124 - x

x = 124 - 119

x = 5

So the number of students drinking pepsi only = 39 -5 = 34

The number of students drinking coke only = 69-5 = 64

Answer:Holly drank 12 bottles in a week.

Step-by-step explanation:

First change the fraction 1 2/5 litre into a decimal, by doing this, we can know how many litres are there in 2/5.

So= 1 2/5

= 2 ÷5 = 0.4

= 1 + 0.4 = 1.4 liters

1.4 liters is the amount of water in a bottle.

Next, also change the fraction 2 2/5 litres into a decimal.

So=2 2/5

= 2÷5 = 0.4

= 2 + 0.4 = 2.4 liters

She drinks 2.4 liters a day.

To find how many bottles she drank in 1 week, we must multiply the amount of water she drinks in a day to the days in a week.

So= 1 week= 7 days

= 1 day= 2.4 liters

So= 2.4 × 7 = 16.8

She drinks 16.8 in a week.

To find how much bottles she drank in a week, we must divide the amount of liters she drank in one week to the amount of liters are there in a bottle.

So= 16.8 ÷ 1.4= 12 bottles

Holly drinks 12 bottles in a week.

I hope this helps! I'm sorry if it's wrong and complicated.

Answer:

156.6 m²

Step-by-step explanation:

To find the surface area of this pyramid, we need to find the area of the base and the sides.

The base triangle has a length of 9 and a height of 7.8. So:

[tex]\frac{bh}{2} = \frac{9\cdot7.8}{2} = \frac{70.2}{2} = 35.1[/tex]

Now, the length of the sides are 9 and the height is 9. So:

[tex]\frac{9\cdot9}{2} = \frac{81}{2} = 40.5[/tex]

Since there are 3 identical sides:

[tex]40.5\cdot3=121.5[/tex]

Add the values:

[tex]121.5+35.1=156.6[/tex]

Hope this helped!

Answer:

21 windows

Step-by-step explanation:

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y

Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).

Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7

Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows

Answer:

50%

Step-by-step explanation:

We are given this set of data: Age of professors in years

47, 44, 48, 43, 35, 65, 56, 37, 73,51

We can firstly rearrange the years properly in ascending order.

Hence we have:

35, 37, 43, 44, 48, 51, 53 56, 65, 73

The number of the professor given = 10 professors

The number of professors younger 50 years = 5

Therefore, the percentage of these professors who are younger than 50

Is:

5/10 × 100 = 50%

Therefore, 50% of the professors are younger than 50

Answer:

Acute.

Step-by-step explanation:

An angle of measure between 0 and 90 degrees is an acute angle.

Answer:

[tex]\large \boxed{\mathrm{All \ real \ numbers}}[/tex]

Step-by-step explanation:

The domain of a function is all possible values of x for which the function is real and defined.

[tex]f(x)=-15x^2 +6000[/tex]

The function has no undefined points nor any restrictions on the value of x.

[tex]- \infty < x < \infty[/tex]

The domain of the function is all real numbers.

Answer:

All real numbers

Step-by-step explanation:

The domain is the set of all possible values for x.

f(x) = -15x² + 6000

There are no restrictions on the value of x.

The domain is all real numbers.

Answer:

Clarissa will take 10 hours by herself

Step-by-step explanation:

Let s = time for shawna

s-5 = time for clarissa

The formula for determining the time is

1/a + 1/b = 1/c  where a and b are the times alone and c is the time together

1/s + 1/(s-5) = 1/6

Multiply each side by 6s(s-5) to clear the fractions

6s(s-5) ( 1/s + 1/(s-5)) = 1/6 *6s(s-5)

Distribute

6(s-5) + 6s = s(s-5)

Distribute

6s -30 +6s = s^2 -5s

Combine like terms

12s -30 = s^2 -5s

Move everything to the right

0 = s^2 -5s -12s +30

0 = s^2 -17s +30

Factor

0 = ( s-15) (s-2)

Using the zero product property

s-15 =0   s-2 =0

s =15     s=2 ( This is not a reasonable answer since it is less than the time together)

s=15

s-5 = 10

Clarissa will take 10 hours by herself

Answer:

see explanation

Step-by-step explanation:

Corresponding angles within the similar figures are congruent, thus

x = ∠ A = 52°

h = 7 × 1.5 = 10.5 cm

From B to A then divide by the scale factor, that is

w = 12 ÷ 1.5 = 8 cm

Answer:

a) 4⁻³ = 1/64 = 0.015625

b)13⁻² = 1/169 = 0.0059171598

c)(-3)⁻² = 1/-3² = 0.1111111111

Step-by-step explanation:

To solve the question above, when we have an integer ( positive or negative) that is raised to a negative power, this means the reciprocal of that integer raised to the positive power

Example:

a⁻ⁿ = 1/aⁿ

a) 4⁻³ = 1/4³

= 1/(4 × 4 × 4)

= 1/64

= 0.015625

b) 13⁻² = 1/13²

= 1/(13 × 13)

= 1/169

= 0.0059171598

c)(-3)⁻² = 1/-3²

= 1/(-3 × -3)

= 1/9

= 0.1111111111

Answer:

6500 rupees

Step-by-step explanation:

We are given a rectangular garden is the dimensions of:

Length = 400 m

Breadth = 150 m

Perimeter of a rectangle = 2(L + B)

= 2(400 + 150)

= 2(650)

= 1300m

We are told that the cost of fencing a rectangular garden per meter is rupees 5

1 m = 5 rupees

1300m =

Hence, the cost to fence the entire garden = 1300 × 5 rupees

= 6500rupees