The diagram shows a cube with sides of length 8 meters. A smaller cube with
sides of length 3.5 meters has been out out of the larger cube.
a) Find the volume, in cubic centimeters of the large aube before the
small cube is out out. Write your answer in scientific notation
Find the volume of the solid after the small cube is removed. Write your
answer in scientific notation. Round the coefficient to the nearest tenth

Answer:

Sequence sum? but it has no right sequence

Answer:

3/8

Step-by-step explanation:

hope this helped

Step-by-step explanation:

2 objects and their shadows create 2 similar right-angled triangles.

that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.

so,

122 × f = 2

f = 2/122 = 1/61

therefore, Ryan is

305 × f = 305 × 1/61 = 5 ft

tall.

If the Statue of Liberty is 305 feet tall, Ryan is 5 feet tall.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

The length of shadow of Statue of Liberty = 122 foot.

The length of shadow of Ryan = 2 foot.

Also, the height of Statue of Liberty = 305 feet.

Let the height of Ryan = x

To find the value of x,

Use ratio and proportion method,

122 / 305 = 2 / x

x = 2 x 305 / 122

x = 305 / 61

x = 5

The height of Ryan is 5 feet.

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Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The percentages associated with getting the flu are:

Hence:

[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]

The probability of both having the flu and getting the shot is:

[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

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Answer:

flu shot

flu

no flu

.30

.20

Step-by-step explanation:

trust

Answer:

D) y is increasing by different amounts.

Answer:

d

Step-by-step explanation:

If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.

Step-by-step explanation:

A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.

[tex]n + n + n + n + n + n + n + n + n = 80[/tex]

or

[tex]9n = 80[/tex]

Solve for n

[tex]n = \frac{80}{9} [/tex]

This rounded would make our interger side, 9

Emika's monthly budget is $60.

A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.

Let Emika's cell phone bill budget be represented with x.

In order to determine his monthly budget, divide $60 by 120%

x = $60 / 120%

x = $60 / 1.20

x = $50

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Answer:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]

[tex]0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o[/tex]

X = -4 – -2 = -2

Y = 4 – 10 = -6

[tex]Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368[/tex]

Equation of the line:

y = 3x + 16

When x=0, y = 16

When y=0, x = -5.3333333333333

Answer: just add them all up add 50+20+36 then you get 106

Step-by-step explan

Based on the coupon and the discount, we can calculate that the original price of the purse is $85.00

The 20% was applied after the coupon so the price after the coupon was:

= Total price / ( 1 - Discount)

= 60 / ( 1 - 20%)

= $75

The coupon was $10 so before it was attached it the price was:

= Price after coupon + coupon

= 75 + 10

= $85

In conclusion, the original price was $85.

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Answer:

Step-by-step explanation:

16 cm / 10 days = 1.6 cm/day

10 days / 16 cm = 0.625 days/cm

Answer:

x=1

Step-by-step explanation:

y=mx+b

5--2/1-1

7/0

Answer:

8 sides.

Step-by-step explanation:

The sum of each of the interior and exterior angles = 180 degrees.

Therefore as the ratio is 1:3 the exterior angles are all = 1/4 * 180

= 45 degrees.

So the number of sides = 360/45 = 8.  ( As the sum of the exterior angles in all polygons = 360 degrees).

Answer:

(A) 2^11

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Correct option is A)

Let a 3-digit number ABC

Case (1)

If A=7, then B  and  C can be any digit but not 7

so, total 9 digits (0,1,2,3,4,5,6,8,9) can replace B and C

Then total such combinations =1(9)(9)=81

Case (2)

If B=7  then A can be any digit but not  0 and 7, because if A=0 it will be a 2-digit number.

And C can be any digit but not 7

Then total combinations =(8)(1)(9)=72

Case (3)

If C=7  then A can be any digit but not 0 and 7, because if A=0 it will be a 2-digit number.

And B can be any digit but not 7

Then total combinations =(8)(9)(1)=72

So, total numbers between 99 and 1000 which have exactly one of their digits as 7 are =81+72+72=225

Answer:

5/6

Step-by-step explanation:

Answer:

The question is incomplete

Step-by-step explanation:

(2m + 4) / 8 = w

2m + 4 = 8w

2m = 8w - 4

m = 4w - 2

Step-by-step explanation:

option A is correct.

hope this answer helps you dear! take care

F - 1.47

The largest box represents 100 small cubes or 1. The four pillars represent 10 and there is four of them so it is 40. Then, the individual cubes are 7. So, 1.47.

Answer:

20 meters

Step-by-step explanation:

..................

Answer:

d< -8

Step-by-step explanation:

10 < 2 -d

Add d to both sides: 10 + d < 2 -d + d

Simplify: 10+d<2

Subtract 10 from both sides: 10 + d - 10 < 2 - 10

Simplify: d < -8

Sorry if I'm wrong or didn't explain right. I tried my best. Enjoy your answer and have a great day. Thanks :)

Answer:

  17.  D

  18.  C

Step-by-step explanation:

For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.

The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.

As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:

  D.  Y'(11, -8)

__

Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.

  R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)

  R' = (-2/3, 1) . . . . . matches choice C

Answer:

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

Step-by-step explanation:

If p is a zero, then (x -p) is a factor. The multiplicity of the zero tells you how many times that is a factor (its exponent).

  f(x) = (x -1)²(x +2)³ = (x² -2x +1)(x³ +6x² +12x +8)

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

_____

Additional comment

You can use the distributive property to write out the 12 terms of the product of the two expanded factors, or you can do a little mental arithmetic based on what you know about the exponent of a product term. (It is the sum of the exponents of its factors.)

The mental exercise can be made easier by writing the coefficients of the factors as though they were two cubics. It works well to write them in two rows:

  [tex]\left[\begin{array}{cccc}0&1&-2&1\\1&6&12&8\end{array}\right][/tex]

The columns are in order of decreasing powers of x. A relatively simple and symmetrical pattern of sums of cross products is used to find the coefficients of the final polynomial. Working in order of decreasing exponents, we have ...

coefficient of x^6 = (0)(1) = 0

coefficient of x^5 = (0)(6) +(1)(1) = 1

coefficient of x^4 = (0)(12) +(1)(-2) +(1)(6) = 4

coefficient of x^3 = (0)(8) +(1)(1) +(1)(12) +(6)(-2) = 1

coefficient of x^2 = (1)(8) +(6)(1) +(-2)(12) = -10

coefficient of x^1 = (-2)(8) +(12)(1) = -4

coefficient of x^0 = (1)(8) = 8

Answer:

11, 44, 24

Step-by-step explanation:

On the right side column you are adding 11 every time you add 4 on the left side column

For example :

4:11

8:22

12:33

16:44

20:55

24:66

Hope this helps!!! :)))

Answer: 7207207271064

Answer:

21

Step-by-step explanation:

21jshe 21jjxjdjdbxhxbdhxbdh21

Answer: 1. Angle MHG 2. Angle LHM 3. Angle LHK and KHJ and the measures are 35 each

Step-by-step explanation:

1. The order you put the angle points in isn’t super important, as long as the middle point of the angle stays between the two letters, so angle ABC can be angle CBA as long as the b stays in the middle

2. You can find out the LHM is a right angle by looking at the protractor and counting

3. Congruent = Equal and both angles equal 35 degrees.

Answer:

1. Acute Angle

2. MHL

3. LHK and KHJ

Step-by-step explanation:

1. Since GHM has an angle less than 90˚ it is an acute angle

2. MHL is an Right Angle as 110-20 is 90˚ and an right angle is 90˚

3. LHK and KHJ both has an angle of 35˚

Hope this helps!