in eleven years ted will be 22 years old how old is he now?

Answer:

67

Step-by-step explanation:

The number of prime numbers between the whole numbers 60 to 80 is 5 which are 61, 67, 71, 73, and 79.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

A prime number is a positive integer having exactly two factors which are 1 and the number itself. Any number that does not follow this is termed a composite number.

The prime number between 60 and 80 is given below.

61, 67, 71, 73, and 79

The number of prime numbers between 60 to 80 is 5 which are 61, 67, 71, 73, and 79.

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Answer:

12 boxes will be needed.

Answer:

12 boxes

Step-by-step explanation:

144/12=12

or

1-12x?=144

2-12x10=120

3-12x2=24

4-120+24=144

Answer:

You would get 14.6

3 squared (3×3) equals 9 and 4 cubed (4×4×4) equals 64. Adding 9 and 64 equals 73. 2 plus 3 equals 5 and 73 divided by 5 is equal to 14.6

Answer:

[tex]\boxed{26}[/tex]

.

Step-by-step explanation:

First step, find the value of tilted line. use pythagoras

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

[tex]c^2 = 3^2 + 4^2[/tex]

[tex]c^2 = 9 + 16[/tex]

[tex]c^2 = 25[/tex]

[tex]c = \sqrt{25}[/tex]

[tex]c = 5[/tex]

.

So, the primeter is

[tex]= 2(5) + 4 + 12[/tex]

[tex]= 26[/tex]

Given:

One airplane is at 7,000 feet and is descending 50 feet every second.

Another plane is at  1,000 feet and is climbing at a rate of 70 feet per second.

To find:

The time taken by planes to reach at the same height.

Solution:

Let x be the number of seconds after which the planes be at the same height.

One airplane is at 7,000 feet and is descending 50 feet every second.

Change in 1 second = -50 feet   (Here negative sign means decrease)

Change in x second = -50x feet

Height of first airplane after x seconds is

[tex]f(x)=7000-50x[/tex]           ...(i)

Another plane is at  1,000 feet and is climbing at a rate of 70 feet per second.

Change in 1 second = 70 feet

Change in x second = 70x feet

Height of first airplane after x seconds is

[tex]g(x)=1000+70x[/tex]     ...(ii)

Equate (i) and (ii), to find the time after which both planes are on the same height.

[tex]7000-50x=1000+70x[/tex]

[tex]7000-1000=50x+70x[/tex]

[tex]6000=120x[/tex]

Divide both sides by 120.

[tex]50=x[/tex]

Therefore, both planes are at the same height after 50 seconds.

Answer: it only included professional golfers

Step-by-step explanation:

It said it was right

The company's claim is incorrect. Only professional golfers took part.

The Head Golf Professional is responsible for continuously developing and implementing all service standards through careful hiring and employee training. Furthermore, he or she is in charge of maximizing income in all aspects of the golf operation while staying within the allocated budget.

There's a lot more to being a professional golfer than meets the eye. For example, did you know that their hourly wage is $18.81 on average? That works out to $39,134 per year! Between 2018 and 2028, the career is expected to grow 11%, resulting in 30,500 job openings nationwide.

To be certified as a professional golfer by the PGA, you must either have a bachelor's degree in a related discipline, such as professional golf management, or have completed the PGA professional golf management apprenticeship program.

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Answer:

1000 g

Step-by-step explanation:

That is the answer

Answer:

Step-by-step explanation:

1 gram.

Given :

Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.

To Find :

At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.

Solution :

We know, volume of a cone is given by :

[tex]V = \dfrac{\pi r^2h}{3}[/tex]

Also, h = r/5

r = 5h

[tex]V = \dfrac{\pi (5h)^2h}{3}\\\\V = \dfrac{\pi 25h^3}{3}[/tex]

Differentiating above equation w.r.t h, we get :

[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{\pi 25h^3}{3})\\\\\dfrac{dV}{dh} = 25\pi h^2\dfrac{dh}{dt}\\\\\dfrac{dh}{dt}= \dfrac{\dfrac{dV}{dh}}{25\pi h^2 }\\\\\dfrac{dh}{dt}=\dfrac{10}{25\times 3.14\times 2^2}\\\\\dfrac{dh}{dt}=0.032\ cm/s[/tex]

Hence, this is the required solution.

Answer:

yea sure

Step-by-step explanation:

Answer:

Brand B is cheaper by 0.17 per pound.

Step-by-step explanation:

Brand A = 47.7/45 = 1.06

Brand B = 48.95/55 = 0.89

Answer:

22 projects did not receive a perfect score

Step-by-step explanation:

12% or 25 is 3, meaning 3 got perfect scores. You would subtract 3 from 25 to get the amount of projects that didnt get a perfect score.

Answer:

52%

Step-by-step explanation:

25 x 4 =100

12 x 4 =48

100-48=52

Answer:

The measure of the other angle is 66°.

Step-by-step explanation:

Given that the total angles in a triangle is 180° so in order to find the other angles, you have to subtract :

90° + 24° + θ = 360°

114° + θ = 180°

θ = 66°

Answer:  I cant see the pic clearly

Step-by-step explanation:

Answer:

i can't see pic clearly

Answer:

x = 1

Step-by-step explanation:

1 + x = 2

Subtract 1 form both sides,

1 + x - 1 = 2 - 1

       x  = 1

Answer:

650

Step-by-step explanation:

13 into 70 goes 5 times.

5×13=65

13 into 2 goes 0 times.

0×13=0

.•. answer is 650

Answer:702

Step-by-step explanation:

The answer is 254.You see how many time 702 goes into 13 and its 54 .We already have the 50 so there is the 4.

Answer:

To make 480 ribbon curls, it would take 8 hours.

Step-by-step explanation:

x=480/60

x=8

Love the Elf reference btw. Hope this helped! :D (Sorry if I'm wrong)

Summing complex numbers is easy: you just sum the real parts together and the imaginary parts together:

[tex](a+bi)+(c+di)=(a+c)+(b+d)i[/tex]

So, you have

[tex](4 - 2i) + (12 + 7i) = (4+12)+(-2+7)i = 16+5i[/tex]

Answer:

6.25

Step-by-step explanation:

Since 2.5 is squared, we should multiply it by itself once which will give us 6.25

Answer:

2.5^2 = 6.25

Step-by-step explanation:

2.5^2 is basically the same thing as 2.5*2.5, so you can do these either way if you like.  You should get 6.25 as your result of the answer.

Answer: C.0

x + 45 is the angle outside the circle of shield 2 arcs with measurements 55 and 145

=> x + 45 = 1/2.(145 - 55)

⇔ x + 45 = 1/2. 90

⇔ x + 45 = 45

⇔ x = 0

Step-by-step explanation:

Answer:

Top graph

Step-by-step explanation:

It starts at x and continues right, so x > -3 in that graph

Answer:

Coordinates of point A are

(-3,-2)

Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.

Using pythagoras theorem we calculate:

h^2 = 3^2 + 2^2 = 13

h = sqrt 13

Answer is b

Step-by-step explanation:

Coordinates of point A are

(-3,-2)

Origin lies in the center of coordinate system. That means that you can picture this as right triangle with sides 3 and 2 and you need to find hypotenuse of it.

Using pythagoras theorem we calculate:

h^2 = 3^2 + 2^2 = 13

h = sqrt 13

Answer is b

Answer:

77°

Step-by-step explanation:

From the question given above, the following data were obtained:

Cos α = 0.93

Sine θ = 0.26

Tan β = 0.84

α + β + θ =?

Next, we shall determine the value of α. This can be obtained as follow:

Cos α = 0.93

Take the inverse of Cos

α = Cos¯¹ 0.93

α = 22°

Next, we shall determine the value of θ. This can be obtained as follow:

Sine θ = 0.26

Take the inverse of Sine

θ = Sine¯¹ 0.26

θ = 15°

Next, we shall determine the value of β. This can be obtained as follow:

Tan β = 0.84

Take the inverse of Tan.

β = Tan¯¹ 0.84

β = 40°

Finally, we shall determine the value of α + β + θ . This can be obtained as follow:

α = 22°

θ = 15°

β = 40°

α + β + θ = 22 + 40 + 15

α + β + θ = 77°

Answer:

Step-by-step explanation:

The formula for calculating the distance between two points is expressed as

D =√(x2-x1)²+(y2-y1)²

Given the coordinates (0,0) and (8,5)

D = √(5-0)²+(8-0)²

D = √5²+8²

D = √25 + 64

D = √89

D = 9.43

Hence the distance between the life guard and the swimmer is 9.43

Answer:

C

Step-by-step explanation:

Going by order of PEMDAS (parenthesis, exponents, multiplication, division, addition, subtraction), you add the 2 and the 9 first due to them being in parenthesis. You then multiply by 5.