There is a zombie outbreak in a city that infects 10 people right away. Each of the 10 zombies are able to infect 2 people every minute. How many people are infected in 8 minutes?

Answer:

40°

Step-by-step explanation:

The circumference of a circle is equal to 360°

The arc AB is 180°, the arc AC is given as 100° so the arc CB is 80° and since <A is an inscribed angle it is equal to the half of the arc it sees

80 ÷ 2 = 40

Answer:

The height of the flag pole is approximately 19 feet and 2 inches.

Step-by-step explanation:

Let suppose that length of the shadow of the object is directly proportional to its height. Hence:

[tex]l \propto h[/tex]

[tex]l = k\cdot h[/tex]

Where:

[tex]h[/tex] - Height of the object, measured in inches.

[tex]l[/tex] - Shadow length of the object, measured in inches.

[tex]k[/tex] - Proportionality constant, dimensionless.

Now, let is find the value of the proportionality constant: ([tex]h = 5\,\frac{1}{4} \,ft[/tex] and [tex]l = 2\,ft\,\,10\,\frac{1}{2}\,in[/tex])

[tex]h = \frac{21}{4}\,ft[/tex]

[tex]h = \left(\frac{21}{4}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]

[tex]h = 63\,in[/tex]

[tex]l = (2\,ft)\cdot \left(12\,\frac{in}{ft} \right) + \frac{21}{2}\,in[/tex]

[tex]l = 24\,in + \frac{21}{2}\,in[/tex]

[tex]l = \frac{48}{2}\,in+\frac{21}{2}\,in[/tex]

[tex]l = \frac{69}{2}\,in[/tex]

Then,

[tex]k = \frac{l}{h}[/tex]

[tex]k = \frac{\frac{69}{2}\,in }{63\,in}[/tex]

[tex]k = \frac{69}{126}[/tex]

[tex]k = \frac{23}{42}[/tex]

The equation is represented by [tex]l = \frac{23}{42}\cdot h[/tex]. If [tex]l = 10\,\frac{1}{2}\,ft[/tex], then:

[tex]l = \frac{21}{2}\,ft[/tex]

[tex]l = \left(\frac{21}{2}\,ft \right)\cdot \left(12\,\frac{in}{ft} \right)[/tex]

[tex]l = 126\,in[/tex]

The height of the flag pole is: ([tex]l = 126\,in[/tex], [tex]k = \frac{23}{42}[/tex])

[tex]h = \frac{l}{k}[/tex]

[tex]h = \frac{126\,in}{\frac{23}{42} }[/tex]

[tex]h = \frac{5292}{23}\,in[/tex]

[tex]h = 230\,\frac{2}{23}\,in[/tex]

[tex]h = \frac{115}{6}\,ft\,\frac{2}{23}\,in[/tex]

[tex]h = 19\,\frac{1}{6}\,ft \,\frac{2}{23}\,in[/tex]

[tex]h = 19\,ft\,\,2\,\frac{2}{23}\,in[/tex]

[tex]h = 19\,ft\,\,2\,in[/tex]

The height of the flag pole is approximately 19 feet and 2 inches.

Answer: 180x5y2

Hope this helps!

Answer:

[tex]180x^5y^2[/tex]

Step-by-step explanation:

[tex]5x^3y^4(6xy^-^1)^2\\5x^3y^4(6^2x^2y^-^1^(^2^))\\5x^3y^4(36x^2y^-^2)\\180x^5y^2[/tex]

Answer:

gravitational attraction is based upon mass.More the mass more the force.When the object is as big as a moon it has a very less gravity.When we are talking about small objects like 2 pencils the force exists but is so weak that no noticabke movement takes place

Answer:

To notice that force, the objects have to have a big mass and be close to each others.

Generally in eveydays life, you don't notice this force since it is weak but that doesn't mean it does't exist.

If you go the space, you can notice this force since planets have big mass. If you get close to the gravitational field of a planet, you will feel a force that is pulling you toward the planet.

Answer:

(1/2, [tex]\frac{\sqrt{3} }{2}[/tex])

Step-by-step explanation:

Don't totally trust me on this...

Answer:

240 minutes

Step-by-step explanation:

i divide 80 divided by 2 then multiply the answer which is 40 by 6 and get 240

Answer:

a = x

b = 5

Step-by-step explanation:

for the polynomial x² + 10x + 25, b = 5 and a = x.

In the polynomial x² + 10x + 25, we can observe that the first term, x², is the square of x, and the last term, 25, is the square of 5. This suggests that the polynomial follows the perfect square trinomial identity.

The middle term, 10x, can be rewritten as 2ab, where a represents x and b represents a term that when squared equals the last term, 25.

In this case, b = 5, because 5² = 25.

To find a, we can take the square root of the first term, x². The square root of x² is x, so a = x.

Therefore, for the polynomial x² + 10x + 25, b = 5 and a = x.

Learn more about trinomial identity here

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Answer:

[tex]\boxed{ 8 + x}[/tex]

Step-by-step explanation:

Hey there!

In most cases "the number" would be x.

So if the statement says 8 "more than a number",

It is saying 8 plus x or 8 + x.

Hope this helps :)

Answer:

x + 8 is the meaning.

Step-by-step explanation:

“more” means addition. Take the number as “x”, so it will be x + 8.

That's the answer.

Answer: Yes, Substitution property is the correct option.

Step-by-step explanation:

Given: m∠A+m∠B =70° ...(i),  m∠X=m∠A

Then, substitute m∠X for m∠A in (i) , we get

m∠X+m∠B =70°

So, the correct option is "Substitution property"

Answer:

The correct option is;

D. 65% to 74%

Step-by-step explanation:

The accuracy of a forecast given based on a percentage or proportion or likelihood is determined by the based on the prevalence of the forecast in a similar proportion over the range of data points in which the forecast is made

Therefore, if it actually rained on 70% of those days for which the forecast was made, the forecast can be said to be very accurate.

Which is to say that the forecast of 70% chance of rain can be considered very accurate if it rained on 65 to 74% of those days which is in the range of the forecasted 70%.

Answer:

A.

Step-by-step explanation:

I used a graphing calculator to check

Answer:

A

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

Answer:

Hey there!

1 1/10=1.1

2/25=0.08

Each serving requires 0.08 kg, and he has 1.1 kg.

Thus, he can make 1.1/0.08, or 13.75 servings.

Let me know if this helps :)

Answer:

13 servings of tofu dish.

Step-by-step explanation:

First, convert the fractions to decimal numbers:

1 1/10 kg = 0.1 kg

2/25 kg = 0.08 kg

Now find how many servings of tofu dish will cover 0.1 kg of tofu:

2/25 kg = 1 serving

1 1/10 kg = ?

= 1 1/10 ÷ 2/25 kg

= 11/10 × 25/2

= 55/4

= 13.75 servings

Approximate it to a whole number:

13 servings.

Answer:

The given figure is:

a. Polyhedron

c. prism

d. solid

Step-by-step explanation:

First of all, let us consider the given image.

It is a 3 dimensional figure.

It has 2 equal bases which are pentagonal.

Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces.

The faces can be of 'n' number of edges (Polygonal faces).

Its edges are straight, has sharp corners which are also known as vertices.

The given image is a polyhedron as per above definition.

b. Pyramid:

It is also a 3D shape which can have a polygonal base and its faces are triangular which converge on the top to one point.

The given image does not converge to a point on the top, so not a pyramid.

c. Prism:

It is a 3D shape which has it two bases as polygonal structure.

The two bases are equal in shape and size.

There are faces on the body of prism which are formed by joining the edges of the bases.

The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height.

So, the given image is a Solid.

e. Cube:

Cube is a 3D figure, which has all its faces in square shape.

All the sides are equal for a cube.

The given image is not a cube.

f. Polygon:

A polygon is a closed figure in 2 dimensions which has n number of sides.

The given image is not a polygon.

Answer: The given figure is:

a. Polyhedron

c. prism

d. solid

The given figure is a Polyhedron, prism and solid.

A polyhedron is a three-dimensional geometry having plane surfaces connected together with sharp edges and pointed vertices.

First of all, let us consider the given image. It is a 3-dimensional figure. It has 2 equal bases which are pentagonal. Its faces are made along the sides of the bases and are rectangular in shape.

Now, let us classify the given image in the following:

a. Polyhedron:

A polyhedron is a 3-D (three dimensional) shape in which there are flat faces. The faces can be of 'n' number of edges (Polygonal faces). Its edges are straight, has sharp corners which are also known as vertices. The given image is a polyhedron as per the above definition.

c. Prism:

It is a 3D shape which has it two bases as a polygonal structure.The two bases are equal in shape and size. There are faces on the body of prism which are formed by joining the edges of the bases. The given image is a prism with pentagonal bases.

d. Solid:

Any 3D image is called a solid and has a length, width and height. So, the given image is a Solid.

To know more about Polyhedrons follow

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Answer:

B, C, A.

Step-by-step explanation:

A = C + 3A = C + 3

A = C + 3

A = C + 3A

C + 3A = C + 3

3A = 3

A = 1

A = C + 3

1 = C + 3

C + 3 = 1

C = -2

B = 2C

B = 2(-2)

B = -4.

So, from least to greatest, B = -4, C = -2, and A = 1.

Hope this helps!

Answer:

I hope it helps.

The solutions in photo ^_^

Answer:

its z y and x

Step-by-step explanation:

can i pls get brainliest

Answer:

Step-by-step explanation:

The formula you need to solve for angle x is:

∠x = 1/2(large arc - small arc)

We have enough info to find what we need to solve for the arcs. 58° is an inscribed angle. The rays of the angle cut off an arc on the circle and that arc measure is twice the measure of the angle. So the smaller arc is 58 * 2 = 116. Since around the outside of the circle measures 360°, then the larger arc measures 360 - 116 = 244. So the larger arc is 244. Filling in the formula to solve for the angle x:

∠x = 1/2(244 - 116) and

∠x = 1/2(128) so

∠x = 64

D is your answer.

Answer:

D.) 64

Step-by-step explanation:

I got it correct on founders edtell

Answer:

b

Step-by-step explanation:

In general

Given

y = f(x) then y = f(Cx) is a horizontal stretch/ compression in the x- direction

• If C > 1 then compression

• If 0 < C < 1 then stretch

Consider corresponding points on the 2 graphs

(2, 2 ) → (4, 2 )

(4, - 2 ) → (8, - 2 )

Indicating a stretch in the x- direction.

y = f([tex]\frac{x}{2}[/tex] ) with C = [tex]\frac{1}{2}[/tex] , that is 0 < C < 1

stretches the graph in the x- direction by a factor of 2

Thus

y = f([tex]\frac{x}{2}[/tex] ) → b

Answer:

The first term is 1

Step-by-step explanation:

The forward term to term rule is "multiply by 3 and add 1"

The backward rule is therefore

"subtract 1, then divide by three"

Apply the backward rule twice to go from 3rd to first term:

(13-1)/3 = 4

(4-1)/3 = 1

The first term is 1

Answer:

a_1 = 1

Step-by-step explanation:

your sequence is a_n = a_(n-1) * 3 + 1

if your 3rd one is 13 then:

a_3 = a_2 * 3 + 1 = (a_1 * 3 + 1) *3 + 1

13 = 9_a1 + 3 + 1

9 = 9*a_1

a_1 = 1 :)

Answer:

Ques 1: 7.85

Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.

Ques 3: 0.9

Step-by-step explanation:

Ques 1:

Solving the [tex]\sqrt{61.6}[/tex], we get 7.8485.

Rounding off to nearest hundredth, we see that next digit is 8, so we increase the previous digit by 1.

So, the answer to nearest hundredth is 7.85.

Ques 2:

[tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex]to be checked  whether they are rational or irrational.

We know that [tex]\sqrt{16}[/tex] is equal to 4.

[tex]-\sqrt{16}[/tex] = -4 which is a rational value.

Let us solve [tex]\sqrt{0.25}[/tex] now.

[tex]\sqrt{0.25} = \sqrt{\dfrac{25}{100}}\\\Rightarrow \dfrac{5}{10}[/tex]

Which is a rational value.

So, both are rational.

Ques 3:

Simplify [tex]\sqrt{0.81}[/tex]

0.81 can be written as [tex]\frac{81}{100}[/tex] in rational form.

Now, taking the square root, we need to take the square root for both Numerator and Denominator and then we can divide to get the desired square root.

[tex]\sqrt{0.81} = \sqrt{\dfrac{81}{100}}\\\Rightarrow \dfrac{9}{10} = \bold{0.9}[/tex]

So, the answers are:

Ques 1: 7.85

Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.

Ques 3: 0.9

Answer:

8

Step-by-step explanation:

In order to answer this question we need to find the greatest common divisor of the two quantities which will give us the maximum number by which both can be divided.

The greatest common divisor of a group of integers is the largest common divisor that divides each of the integers. The first step to find it is write down the integers as a product of primes, so we have:

[tex]56=(28)(2)=(14)(2)(2)=(7)(2)(2)(2)= 2^3[/tex]·[tex]7[/tex]

[tex]72=(24)(3)=8(3)(3)=2^3[/tex]·[tex]3^2[/tex]

Now, in order to find the gcd we are going to take the factors that they have in common. In this case they both share the [tex]2^3[/tex].

Thus, [tex]2^3=8[/tex] is the greatest common divisor and therefore the maximum value of weight which can measure the weight of the rice exact number of times.

Answer:

[tex]\huge\boxed{77}[/tex]

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

Finding the factors for all of the multiples of 7:

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

Answer:

77

Step-by-step explanation:

The first factor is 1

Since it is divisible by 7, 7 will also be one of its factors.

Therefore the four factors are

1, 7, x, y

When x and y are integers

Using the following law...

The product of factors of a number in the same position (left or right) (increasing or decreasing order) is equal to the number

Counting from left

y is the first factor

x is the second factor

Counting from the right

1 is the first factor

7 is the second factor

Applying the last

y×1=x×7

y = 7x

the sum of the factors is 96

1+7+x+7x = 96

8x+8=96

8x = 88

x= 11

Hence the number is

7x = 7(11)

=77

Answer:

[tex] { x^2+3x-4} [/tex]

Step-by-step explanation:

Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

[tex] \frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} } [/tex]

= [tex]\frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}[/tex]

= [tex] \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)} [/tex]

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= [tex] { (x-1)(x+4)} [/tex]

= [tex] { x^2+3x-4} [/tex]

Answer:

The answer is

Step-by-step explanation:

[tex] \frac{9 {x}^{2} - ( { {x}^{2} - 4})^{2} }{4 + 3x - {x}^{2} } [/tex]

To solve the expression first factorize both the numerator and the denominator

For the numerator

9x² - ( x² - 4)²

Expand the terms in the bracket using the formula

( a - b)² = a² - 2ab + b²

(x² - 4) = x⁴ - 8x² + 16

So we have

9x² - (x⁴ - 8x² + 16)

9x² - x⁴ + 8x² - 16

- x⁴ + 17x² - 16

Factorize

that's

(x² - 16)(-x² + 1)

Using the formula

a² - b² = ( a + b)(a - b)

We have

(x² - 16)(-x² + 1) = (x + 4)(x - 4)( 1 - x)(1 + x)

For the denominator

- x² + 3x + 4

Write 3x as a difference

- x² + 4x - x + 4

Factorize

That's

- ( x - 4)(x + 1)

So we now have

[tex] \frac{(x + 4)(x - 4)( 1 - x)(1 + x)}{ - (x - 4)(x + 1)} [/tex]

Simplify

[tex] \frac{ - (x + 4)(1 - x)(1 + x)}{x + 1} [/tex]

Reduce the expression by x + 1

That's

-( x + 4)( 1 - x)

Multiply the terms

We have the final answer as

Hope this helps you

Answer:

two games must be won by the team

Step-by-step explanation:

Let the no. of games played by x, since  team

does not lose any more games.

Then total game won = 6+x

total game lost = 4

win: loss = 6+x : 4

given ratio of win and loss = 2:1

6+x : 4 = 2: 1

6+x = 8

=> x = 8-6 = 2

Thus, two games must be won by the team

then total win will be = 6+2 = 8

and loss = 4

ration of win : loss = 8:4 = 2:1

Please see attachment for question

Answer:

Yes both players can say they won. Cindy and Victor won

Step-by-step explanation:

Both players can say they won because they both kept to the rules of the game. Cindy got rational real numbers on a diagonal while Victor got positive numbers on a column which are real numbers too. Pi on the last row on his column for the diagram on the right(see attachment) is 22/7 or 3.14159... is an irrational real number but is still a positive real number.

Answer:

4/20

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The probability of landing on tails for any fair coin is [tex]\frac{1}{2}[/tex], or 50%. It doesn't matter how many times you've landed on heads/tails before, it always remains at [tex]\frac{1}{2}[/tex].

Hope this helped!

Answer:

[tex]x=70[/tex]

Step-by-step explanation:

If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.

First, let's find the multiples of 10 and 14 until they equal 70.

[tex]10: 10,20,30,40,50,60,70[/tex]

[tex]14:14,28,42,56,70[/tex]

Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.

Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.

So, [tex]x = 70[/tex].

Hope this helped!

Answer:

x = 35

Step-by-step explanation:

70 factored is 2 x 5 x 7

x  = 35

Answer:

27 1/7

Step-by-step explanation:

Multiply 5×5=25 and afterwards multiply 3/7×5=2 1/7

Answer:

331 the biggest possible number

Answer:

Needed to make one band = 3/5 / 6 meters.

The solution is 1/10 meters.

Step-by-step explanation:

The expression is 3/5 / 6

= 3/5 * 1/6

= 3/30

= 1/10

Answer:

6 x (3/5)

1/10

Step-by-step explanation: