Work out (4×10to the power of6) ×(2×10to the power of7) Give your answer in standard form.

Answer:

(-3, 1.5)

Step-by-step explanation:

Take the averages of the x-coordinates and y-coordinates of the 2 points

-5.5 + -0.5 = -6. Divide by 2 to get the average: -6/2 = -3. So, -3 will be the x coordinate of the midpoint.

-6.1 + 9.1 = 3. Divide by 2 to get the average: 3/2 = 1.5. So, 1.5 will be the y coordinate of the midpoint.

The midpoint will be (-3, 1.5)

Answer:

72π

Step-by-step explanation:

To solve this, we just have to find the volume of the cylinder.

We know the formula for the volume of a cylinder is V=πr^2h as given.

That said, we can plug our values in.

V=π3^2(8)

Simplify.

V=π9*8

V=72π

It needs 72π cubic inches of water.

This is also equivalent to around 226.19 cubic inches of water.

Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!

Answer:5

Step-by-step explanation:

reverse the steps

2(x+1)/3=4

2(x+1)/3×3=4×3

2(x+1)/2=12/2

x+1=6

x=6-1

x=5

Answer:

My starting number is 5

Step-by-step explanation:

Let's denote your number is a

We have:

Adding 1 => a + 1

Multiplying by 2 => (a + 1) x 2

Dividing by 3 => (a + 1) x 2/3

The final number is 4 => (a + 1) x 2/3 = 4

Now, we are going to work out a

Dividing both sides by 2/3:

(a + 1) x (2/3)/(2/3) = 4/(2/3)

then, we have:

(a + 1) x 1 = 4 x 3/2

then, we have:

a + 1 = 12/2

or

a + 1 = 6

=> a = 6 - 1 = 5

Hope this helps!

Answer:

625πmm³

Step-by-step explanation:

The exact volume of the figure will be the sum total of volume of the two comes and one cylinder.

Volume of a cone = 1/3πr²h

r is the radius of the cone

h is the height of the cone

Since the cone are 15mm high, their individual height = 15mm

Diameter = 10mm, radius = 5mm

Volume of a cone = 1/3× π × 5²×15

Volume of a cone = 1/3 × π × 25 × 15

Volume of a cone = 125πmm³

Volume of both cones = 2(125π) = 250πmm³

Volume of a cylinder = πr²h

Height of the cylinder = 15mm

Radius of the cylinder = 5mm

Volume of the cylinder = π(5)²×15

Volume of the cylinder = 375πmm³

Volume of the composite solid = volume of the two cones + volume of cylinder.

= 250πmm³+375πmm³

= 625πmm³

Answer: 625pimm^3

Step-by-step explanation:

Answer:

The answer is -32, -18, -11, 8, 41.

Step-by-step explanation:

For negative number, the greater the number the smaller it is. For example, -2 is smaller than -1. ( -2 < -1 )

For positive number, the greater the number the larger it is. For example, 1 is smaller than 2. ( 1 < 2 )

Answer:

-32, -18, -11, 8, 41

Step-by-step explanation:

The values of c and d are c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

d = integers

c = rational numbers

Integers are numbers without decimal and rational numbers can be expressed as fractions

Using the above as a guide, we have the following possible values

c = 4.2, d=−12, c = −5, d=−8/4 and c = −1/5, d=11

Read more about numbers at

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Answer:

(6, - 3 )

Step-by-step explanation:

Given f(x) then f( x + c) represents a horizontal translation of f(x)

• If c > 0 then a shift to the left of c units

• If c < 0 then a shift to the right of c units, thus

y = f(x - 4) represents a shift to the right of 4 units, so

(2, - 3 ) → (2 + 4, - 3 ) → (6, - 3 )

The maximum point on the graph after translation y = f( x -4) is (6 , -3)

Translation of a graph is the movement of the graph either in horizontal direction or vertical direction .

Horizontal translation to the left is given by f (x+ c) ,c >0

: (x, y) → (x- c , y)

Horizontal translation to the right is given by f (x- c) ,c >0

: (x, y) → (x+ c , y)

Given that the maximum point on the graph of the equation

y = f(x) is (2,-3)

To find the maximum point on the graph of the equation y = f(x-4)

f(x -4) is Horizontal Translation to the right with 4 units , c= 4

then  (x, y) → (x+ c , y)

Thus the maximum point (2,-3) is moved to ( 2 +c , -3)

⇒ (2+ c , -3) = (2+4 , -3) = ( 6 , -3)

Therefore, the maximum point of the graph of the equation  y = f(x-4) becomes (6,-3)

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Answer:

For purple;

P(p) = 337/848 = 0.40

For white;

P(w) = 511/848 = 0.60

Step-by-step explanation:

Given;

Number of plants with purple flowers P = 337

Number of plants with white flowers W = 511

Total T = 337 + 511 = 848

For purple;

the empirical Probability that a plant had purple flowers P(p) is

P(p) = Number of plants with purple flowers/total number of plants

P(p) = P/T

Substituting the values, we have;

P(p) = 337/848 = 0.40

For white;

the empirical Probability that a plant had white flowers P(w) is

P(w) = Number of plants with white flowers/total number of plants

P(w) = W/T

Substituting the values, we have;

P(w) = 511/848 = 0.60

Answer:

Duh MeepMeepMeepMeep

Step-by-step explanation:

bc I said

Answer:

Meepmeepmeepmeep or Meeeeeeeep.

Step-by-step explanation:

Meeeeeeeep has all of the es. Meepmeepmeepmeep has everything.

Answer:

-4/3

Step-by-step explanation:

Answer:

39/46

Step-by-step explanation:

Now, the key to answer this first is knowing the value of cos θ

Mathematically, when we have sin θ

What we have is the ratio of the opposite to the hypotenuse side

Thus, here, since sin θ = 5/13, this means that the opposite is 5 while the hypotenuse is 13

Now to complete the 3rd side of the triangle, we need to use the Pythagoras’s theorem

This states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

So let’s say the adjacent or the third side is d

This means that;

13^2 = 5^2 + d^2

d^2 = 13^2 - 5^2

d^2 = 169-25

d^2 = 144

d = √(144)

d = 12

The cosine of the angle mathematically is the ratio of length of the adjacent to that of the hypotenuse

and that is 12/13

Hence Cos θ = 12/13

What we need last to answer the question is cos2 θ

Using trigonometric identity;

Cos2θ = cos^2 θ - sin^2 θ

Inputing the values of sine and cos of the angle theta, we have;

cos2θ = (12/13)^2 - (5/13)^2

cos2θ = 144/169 - 25/169 = 119/169

Thus;

cosθ/(cos2θ + sinθ) = 12/13/(119/169 + 5/13)

= 12/13/(184/169)

= 12/13÷ 184/169

= 12/13 * 169/184

= (13 * 3)/46 = 39/46

Answer:

34.64

Step-by-step explanation:

take tan value and solve the triangle

Answer:

there are 20 2 digit numbers less than 30.

out of all of them 6 are prime

then there is only a 6/20 chance that it will be a prime number, or a 30% chance.

the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.

To determine the probability that a randomly chosen two-digit number less than 30 is a prime number, we first need to identify the prime numbers within this range.

The prime numbers less than 30 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.

Out of these ten prime numbers, we need to count how many are two-digit numbers less than 30. There are five such prime numbers: 11, 13, 17, 19, and 23.

Since we are considering all possible two-digit numbers less than 30, which is a total of 29 numbers, the probability of randomly selecting a prime number is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 5 / 29

Hence, the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.

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Answer:

Perimeter of the cross section = (10+4√5)inches = 18.9in

Area of the cross section= = 10√5 in²

Step-by-step explanation:

Find attached the diagrams used in solving the question

Dimensions of granite = 4in by 2in

Length = 4in

Breadth = 2in

Height = 5in

When granite is cut lengthwise along it's diagonal, the cross section formed by the cut will be a rectangle.

Perimeter of the cross section = 2(height+breadth)

Breadth = diagonal of the cross section

The diagonal of a rectangle divides the rectangle into two right angled triangles.

We would apply Pythagoras theorem to find the length of the diagonal

Hypotenuse ² = opposite ²+adjacent ²

Hypotenuse = length of diagonal

Hypotenuse ² = 2² + 4²

Hypotenuse ² = 4+16 = 20

Hypotenuse = √20 = 2√5

Perimeter of the cross section = 2(height+breadth) =2(5+2√5)

Perimeter of the rectangle = 10+4√5 inches = 18.9in

Area of the cross section= diagonal × height

Area of the cross section= 2√5 × 5

Area of the cross section= = 10√5 in²

Answer:

257 square m

Step-by-step explanation:

Area of the figure

= Area of square + Area of semicircle

[tex] = {10}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times {10}^{2} \\ \\ = 100 + \frac{1}{2} \times 3.14 \times 100 \\ \\ = 100 + 3.14 \times 50 \\ \\ = 100 + 157 \\ \\ = 257 \: {m}^{2} [/tex]

Answer:

257 square meters

Step-by-step explanation:

i just took the test

Answer:

4 trucks

Step-by-step explanation:

Here, we are told that 5 trucks carry a load of 20 m^3 each

This means that the total amount of load is 5 * 20 = 100 m^3

Now, we are having this load carried by a number of trucks with each carrying 25 m^3

The number of trucks that would carry the load would be 100 m^3/25 m^3 = 4

Answer:

The TV has a length of 61.01" and a height of 34.32"

Step-by-step explanation:

The size of a TV is given by the length of it's diagonal, in this case the diagonal of the TV is 70". The ratio of the screen is 16:9, which means that for every 16 units on the length of the tv there are 9 inches on its height. The diagonal of the screen forms a right angle with the length and the width, therefore we can apply Pythagora's theorem as shown below:

[tex]diagonal^2 = height^2 + length^2\\\\height^2 + length^2 = (70)^2\\\\height^2 + length^2 = 4900[/tex]

Since the ratio is 16:9, we have:

[tex]9*length = 16*height[/tex]

[tex]length = \frac{16}{9}*height[/tex]

Applying this on the first equation, we have:

[tex]height^2 + (\frac{16}{9}*height)^2 = 4900\\\\height^2 + \frac{256}{81}*height^2 = 4900\\\\\frac{337}{81}*height^2 = 4900\\\\height^2 = \frac{4900*81}{337}\\\\height^2 = \frac{396900}{337}\\\\height^2 = 1177.744\\\\height = \sqrt{1177.744}\\\\height = 34.32[/tex]

[tex]length = \frac{16}{9}*34.32\\\\length = 61.01[/tex]

The TV has a length of 61.01" and a height of 34.32"

Answer:

The answer is B. Two Foci, hope this helps! :)

Answer:

center of focus

Step-by-step explanation:

i hope this help "whole lotta love" NUNU

Answer:

Stairs, escalators, elevators, ramps...

Step-by-step explanation:

If ladders are difficult to use for high floors another very common options are stairs. you see them pretty much everywhere. Escalators and elevators are also used, elevators more often that escalators.

I don't know how to make it sound "mathy" but..

Ladders are super straight and so for high floors, the slope of the ladder will be too steep for anyone to climb without gravity interfering.

The level of safety with stairs is higher because instead of going straight up, The steps provide a flat surface for someone to stand on while climbing the stairs and there is a much more stable foundation. Stairs can have protection like a guard rail and even go in a spiral motion upwards because they are more stable and safe. It is still possible to fall if one is not careful because of pesky gravity.

Escalators are pretty much moving stairs and the level of safety is greater because of the strong foundation and flat surface to stand on. Of course falling can happen, lowering the safety, but this is not likely because of the slowly enough moving steps. There is a rail as well and as long as people are careful, there aren't usually any casualties.

Elevators take up way less space than stairs and escalators because they can go straight up and down. The level of safety is fairly high because an elevator is a pulley system and people don't involve all that much moving around. Just go in the mechanical box, the doors close for safety, click a button, and then go up or down.

I don't know how to incorporate mathematical facts into this question because this is literally logic not math in my opinion. Honestly, ladders aren't even used that much, I don't think, except for building and house work.

I hope this helps you with whatever you are doing!

<3

Answer:

The answers are in the pictures

Step-by-step explanation:

I can't type all of them 'cause it's much

Answer:

1. a. x= 18°

sum of interior angles is = 180°, so, to get x, = 2.5x + 4.5x + 3x = 180°

2.5x = 45

4.5x = 81

3x = 54

2. a. x = 75°

x - 10 = 65

x-35 = 40

x = 75

use the concept in number one.

3. a. x = 25

the  two opposite interior angles add up to the exterior angle . so,

4x + 55 = x + 130

like terms together then simplify to get x as 25

so 4x = 100°

x + 130 = 155°

4. ∠2 = 180 - (38+34) = 108°

∠5 = 180 - (38+74) = 68°

∠6 = 74 + 38 = 112°

hope you understand now.

Answer:

No 6 1/2 is 6.5, which is not 73

Step-by-step explanation:

Answer:

no, 6+1/2 equals 6'5

if you mean 6*1/2, it still doesn't equal 73 but 3

Step-by-step explanation:

Answer:

The probability is equal to the number of times you chose the red ball out of the total balls.

Answer:

c. 25

Explanation:

write no more than one radical

[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]

simplify

[tex]5\sqrt{25} \\25[/tex]

Therefore, the answer is c) 25.

Answer:

c) 25

Step-by-step explanation:

√125 x √5= √25*5*5 = √25*25= 25

Answer:

You have 2 equations:

One for area: A = πr²

One for circumference: C = 2πr

If you are given the area, you plug the area in the area equation under A. You then divide both sides by pi (π) so you are left with r². You take A/π = r² and you square root both sides to get r.

When you get r (the radius) you can then plug r into C = 2πr. You solve (multiply all numbers together) and you have your final answer as the circumference.

Step-by-step explanation:

Answer:

First option is the correct answer

Second option is the correct answer

Step-by-step explanation:

Five added to a number, then divides by two equals eight

[tex] \frac{x+5}{2} = 8[/tex]

Three added to one fourth of a number gives seven.

[tex] \frac{1}{4} x+3= 7[/tex]

Answer:

Step-by-step explanation:

1) option A

Let the number be x

Five added to a number = x +5

Then divided by 2 :    [tex]\frac{x+5}{2}[/tex]

Equation:

[tex]\frac{x+5}{2}=8[/tex]

2) option B

one fourth of a number: (1/4)x

Three added to one fourth of a number : [tex]\frac{1}{4}x+3[/tex]

Equation:

[tex]\frac{1}{4}x+3=7[/tex]

Answer: Dear Stella, I love you

Step-by-step explanation:

I've loved you ever since the first time I saw you but I was too much of a coward to express this love. and if you report this i understand... because it means you dont love me back and that will be okay because I will just jerc off to you changing in your bedroom. thats right i watch you cause I love you.

Answer:

la respuesta a ambos es 1 porque si elevas cualquier numero a un exponente de 0 este queda en 1

Answer:

32

Step-by-step explanation:

b^2c^1

Let b=-4 and c= 2

(-4)^2 ( 2)^1

16 * 2

32

Answer:

The correct answer is

-32

Step-by-step explanation:

All you need to do is plug in -4 and 2 into the equation to get:

4^2 times 2^1

This equals ...

-32

Hope this helps!

- xoxo Quinnisa

Answer:

9

3 x 3 = 9

9 x 3 = 27

Hope this helps

Step-by-step explanation:

Answer:

9 is the second term

Step-by-step explanation: