Which answer shows 0.00897 written in scientific notation?
0.897 times 10 Superscript negative 2
8.97 times 10 Superscript negative 3
8.97 times 10 Superscript negative 2
8.97 times 10 Superscript 3

The sample space S =  {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}

It is defined as the space in which all possible outcomes are represented in a list form for a particular event.

We have:

A number cube with faces labeled from 1 to 6 will be rolled once.

Let S is the sample space:

As we know, the sample space is the set of all possible outcomes:

S = {1, 2, 3, 4, 5, 6}

The total number of outcomes:

n(S) = 6

The outcomes for the event of rolling the number 2.

E = {2}

n(E) = 1

Thus, the sample space S =  {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}

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Answer:

Ann bought 32 ounces of cheese.

Step-by-step explanation:

First of all, that is a lot of cheese, I hope she is not lactose intolerant.

Second of all, one pound is equivalent to 16 ounces. Given this, we can multiply the pounds of cheese by 16.

That would look like 2×16=32.

I hope this answer helped you and also made you laugh. It is correct though, despite the comedy.

Answer:

b; [5]

Step-by-step explanation:

i took the quiz

The income tax for the married couples under filing a joint return receives a standard deduction of $25,100.

An income tax is a type of tax that governments impose on income generated by businesses and individuals within their jurisdiction.

In this case, the income tax for the married couples filing a joint return receives a standard deduction of $25,100

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Answer:

3/4 (A)

Step-by-step explanation:

replace x with -2 in the function

3 · 2^-2  = 3 · 0.25

3 · 0.25 = 0.75

0.75 = 3/4

The values that represent those having type O blood are the values from 000 to 449.

RNG refers to a random number generator, this means that from 000 to 999 (a total of 1000 numbers) each has the same probability of being randomly selected by the program.

Then, if we want to represent a probability of the 45%, then 0.45 of the number of elements must be assigned to what we want to represent (having type O blood).

0.45*1000 = 450

Then we can assign the first 450 numbers to have type O blood, the first 450 numbers are: {000, 001, ..., 449}

So the values that represent those having type O blood are the values from 000 to 449.

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Answer: No the expressions are not equal

Work Shown:

3² = 3*3 = 9

3³ = 3*3*3 = 27

3²+3³ = 9+27 = 36

3⁵ = 3*3*3*3*3 = 243

The 3²+3³ = 36 doesn't match up with 3⁵ = 243

Therefore, the two expressions are not equal.

Answer:

Step-by-step explanation:

No, the expressions are not equal.

3^2 + 3^3 = 9 + 27 = 36

3^2 * 3^3 = 3^5

keep the base the same and add the exponents

The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³

Surface Area to Volume Ratio = 43/28

Given Data

Rectangular prism A

Length = 2 inches

Width = 7 inches

Height = 8 inches

Surface Area

A=2(wl+hl+hw)

A=2(7*2+8*2+8*7)

A=2(14+16+56)

A= 172 inches²

Volume

Volume = L*W*H

Volume = 2*7*8

Volume = 112 inches³

Surface Area to Volume Ratio

= 172/112

= 43/28

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Answer:

Step-by-step explanation:

Answer:

[tex]x=-2\\[/tex]

Step-by-step explanation:

[tex]8^x=\frac{1}{64}\\xlog8=log\frac{1}{64}\\x=\frac{log\frac{1}{64}}{\log8}\\x=-2[/tex]

First we write the equation given

Next we take the log of both sides. This turns [tex]x[/tex] into a normal term instead of an exponent, but turns [tex]8[/tex] and [tex]64[/tex] into the log version of themselves.

Next we can divide both sides by [tex]log8[/tex] to isolate [tex]x[/tex].

This gives us our answer of [tex]\boxed{-2}[/tex]

The time it would take for the bacteria to reach 1119 is 5.83 hours

Given the function:

[tex]Pt= P_0e^k^t[/tex]

To find the exponential growth;

80 = [tex]50e^k^*^3[/tex]

[tex]k= 1.6/3\\k= 0.533[/tex]

If there is a constant growth, then to get to 1119:

1119= [tex]50e^0^.^5^3^3^*t[/tex]

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

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The probability that Bridget makes all three free throws to win the game is; 42.2%

We are told that the probability of Bridget making her free throw correctly is 75%.

Now, if she has to get all three free throws correctly, then the probability for that is;

P(3 free throws correct) = 0.75 * 0.75 * 0.75

P(3 free throws correct) = 0.421875 ≈ 42.2%

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Answer:

47.14 cm

Step-by-step explanation:

Circumference :

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

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=202 in²

Divide the shape into 2.

Area of a rectangle= Length * Width

So..

The first shape = 13in*4in = 52in²

The second shape = 15in * 10in = 150in²

150 + 52 = 202in²

The graph for Suav's trip is attached along with the values derived from the information provided.

The key to understanding the graph is that every time spent while he was on the way to the back and back are all added cumulatively.

So when he stops at the store which is 8 blocks away from home, the time spent is recorded as 4 + 2 at location 8 blocks.

It is also to be noted that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.

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Answer:

7 cm³

Step-by-step explanation:

Assume each cube has an edge 1 cm in length.

Each cube has volume 1 cm³.

There are 7 cubes.

volume = 7 cm³

Answer:

=> Expand by applying the FOIL method

[tex]2x\cdot \:3x+2x\left(-8\right)-7\cdot \:3x-7\left(-8\right)[/tex]

=> combine like terms

[tex]6x^2-37x+56[/tex]

Answer:

1. P(2 or 4) - 2/3

2. P(multiple of 2) - 1

3. P(multiple of 3) 1/3

4. P(odd prime numbers) 0

Step-by-step explanation:

Good luck lol

P(2 or 4) = 2/3

P( multiple of 2) = 1

P( multiple of 3) = 1/3

P(odd prime numbers) = 0

Probability is the likelihood of an event happening or not.

Analysis:

possible outcome = (2,2,4,4,6,6) = 6

P(2 or 4)

n( 2) = required outcome = (2,2) = 2

P(2) = 2/6 = 1/3

n(4) = (4,4) = 2

P(4) = 2/6 = 1/3

P(2 or 4) = 1/3 + 1/3 = 2/3

n( multiple of 2) = (2,2,4,4,6,6) = 6

P( multiple of 2) = 6/6 = 1

n(multiple of 3) = (6,6) = 2

P(multiple of 3) = 2/6 = 1/3

P(odd prime numbers) = 0

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Answer:

[tex]d)~ \dfrac{20}{29}[/tex]

Step-by-step explanation:

[tex]\sin B = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~=\dfrac{AC}{AB}\\\\~~~~~~~~=\dfrac{20}{29}[/tex]

The each type of angle are discussed below

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

If the hours hand point to the hour 1 and minute hand at 12 then

angle will be acute.

If the hours hand point to the hour 2 and minute hand at 12  then

angle will be acute.

If the hours hand point to the hour 3 and minute hand at 12  then

angle will be right angle .

If the hours hand point to the hour 4 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 5 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 6 and minute hand at 12  then

angle will be straight angle .

If the hours hand point to the hour 7 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 8 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 9 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 10 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 11 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 12 and minute hand at 12  then

angle will be Complete angle.

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The possible values of N from the given probability parameters is; N equals 15 or 21

We are told that;

Number of pens in the box = N

Let the number of red pens be x

Thus; number of black pens = x + 3

Thus;

x + x + 3 = N

x = (N - 3)/2

The probability that she will take a black pen followed by a red pen is;

P(she will take a black pen followed by a red pen) = (x + 3)/N * x/(N - 1)

Plugging in he relevant values and solving for N gives ;

Solving for N gives N equals 15 or 21

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Hey there!

4 3/5 - 2 5/6

= 23/5 - 17/6

= 53/30

≈ 1 23/30

Therefore, the answer should be:

53/30

OR

1 23/30

(Either should work because they are equivalent to each other)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .

" Mixed fraction is defined as the fraction representing whole fraction along   with the quotient and remainder."

Convert mixed fraction into improper fraction

[tex]m\frac{p}{q} = \frac{q*m+p}{q}[/tex]

According to the question,

Given mixed fraction,

   [tex]4\frac{3}{5} -2\frac{5}{6}[/tex]

Convert mixed fraction into improper fraction we get,

[tex]=\frac{23}{5} -\frac{17}{6} \\\\=\frac{138-85}{30} \\\\=\frac{53}{30}\\ \\= 1\frac{23}{30}[/tex]

Hence, value of the given mixed fraction [tex]4\frac{3}{5} -2\frac{5}{6}[/tex] is equals to [tex]1\frac{23}{30}[/tex] .

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Answer: Hope this helps you!

3

Step-by-step explanation:

9 (total amount) - 6 (1 part of it) = 3 (the other part of it)

Brainliest?

Answer:

B: Save $10

Step-by-step explanation:

A: $14.80, B: $12, C:$18.70, D: $16.50

Answer:

They are both right-angled triangles.

Step-by-step explanation:

The graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have:

Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.

Based on the information given we can say graph third represents the situation.

First Keisha ran to swim practice so the line first increases and then she  but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes which means the line should be constant.

Again they both ran so line increases.

Then they both stayed for 1 hour, so the line should be constant.

Thus, the graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

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Using the circle theorems, the value of z is 45

From the question, we are to determine the value of z

From the given information,

KM is a diameter

∴ ∠KLM = 90° (Angle in a semicircle)

Also, ΔKLM is isosceles

∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)

Then,

∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)

2× ∠KML + 90° = 180°

2× ∠KML = 180° - 90°

2× ∠KML = 90°

∠KML = 90°/2

∠KML = 45°

Now, we can observe that

z° = ∠KML (Angles in alternate segment)

But,

∠KML = 45°

∴ z = 45

Hence, the value of z is 45

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Answer:The entire area would be 12 square meters.

Step-by-step explanation:

2 x 6 square meters =  12 square meters. which is the entire area.