Which answer shows 0.00897 written in scientific notation?
0.897x10-2
O 8.97x102
8.97 x 10-2
8.97 x 103

The value of the function F(3) will be 1/125. It is obtained by putting the value 3 in the place of x.

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable.

F(x)=(1/5)ˣ

F(3)=(1/5)³

F(3)=1/125

Hence, the value of the function F(3) will be 1/125.

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Answer:

1.75 * 0.84

Step-by-step explanation:

1.74 * 0.84 = 1.4616

1.79 * 0.69 = 1.2351

Answer:

1.74 x 0.84 is greater

Step-by-step explanation:

1.74 x 0.84 = 1.4616

while

1.79 x 0.69 = 1.23509

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

h(x) = (x+1)²

h(-2) = 1

h(-1) = 0

h(3) = 8

In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.

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Answer:

Its a scam AT&T has no such sale going on right now.

Step-by-step explanation:

Answer: 354.882 milliliters

Step-by-step explanation:

12 x 29.574 = 354.882

Answer:

14. x=30, y=15, z=165

15. x=10, y=25

Step-by-step explanation:

Answer:

1)

x= 30

y=15

z=150

2)

x= 10

y=25

Step-by-step explanation:

1)

2x+90+x=180

3x+90=180

x= 90/3=30

2y= x

2y=30

y= 30/2=15

2y+z= 180

30+z= 180

z= 150  

2)

3x= 5x-20

5x-3x=20

x=20/2=10

2y+4y+ (5x-20) = 180

6y+30= 180

y= 150/6= 25

I hope im right!!

When lines a and b overlap, angle 1 equals angle 3.

The intersection of two lines in Euclidean geometry might be the empty set, a point, or another line. Distinguishing these circumstances and locating the intersection have applications in computer graphics, motion planning, and collision detection, among others. When two or more lines intersect on a plane, they are referred to as intersecting lines. The crossing lines have a common point, which exists on all of them and is known as the point of intersection. The intersecting lines are two lines that have precisely one common point. The crossing lines have a point in common. The point of intersection is the common point that exists on all intersecting lines.

Here,

To prove ∠1 ≅ ∠ 3, we can use the congruent supplements theorem. According to the congruent supplements theorem, If two angles are supplements of the same angle then two angles are congruent.

Line a and line b intersect                                         (given)

∠3 is supplementary to ∠2 because of linear pair theorem (given)

So, if we take ∠2 as the common angle

And  ∠1 is supplementary to ∠2  by linear pair theorem     ( option D)

Then, ∠1 is supplementary to ∠2 which is supplementary to ∠3

Therefore, ∠1 ≅ ∠3 (according to the congruent supplements theorem)

This is proved when line a and line b intersect, angle 1=angle 3.

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Answer:

100.

Step-by-step explanation:

(-2-8)^2

First you calculate the expression inside the parentheses:

= (-10)^2

= -10 * -10    

= 100.

(Note - * - = + ).

Answer:

it is the mode.

Step-by-step explanation:

i. e 5 is the most occuring number in the set of data listed above

Using the t-distribution, it is found that the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40 is of 0.083.

The proportion is found using a calculator, with three inputs:

In this problem, we have a left-tailed proportion, as we want the proportion that is less than a value, with test statistic t = -1.4 and 30 + 40 - 2 = 68 df, hence the proportion is of 0.083.

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Answer:

  a) 125 different numbers

  b) 60 numbers with different digits

Step-by-step explanation:

You want to know the number of different combinations you can have with three dials, each having numbers 1–5, and you want to know the number of combinations with three different digits.

Any of the three dials may be set to any of the five digits, so there are ...

  5 × 5 × 5 = 125

possible three digit combinations.

The number of different 3-digit numbers is 125.

If the digits are to be different, there can be 5 different first digits, 4 different second digits, and 3 different 3rd digits, for a total of ...

  5 × 4 × 3 = 60

possible combinations with different digits.

The number of 3-digit numbers with different digits is 60.

<95141404393>

Exact form:

2\(\sqrt\ 13\)

Decimal form:

7.21110255 or 7.21

Answer:

11.1803

Step-by-step explanation:

{3,7,8,5,2}, {3,7,8,5,2}, {3,5,7,8,2}, {2,3,5,7,8}  is the correct iterations insertion sort on an array with the elements {7,3,8,5,2}.

Insertion sort is a basic sorting algorithm that operates similarly to the way you sort recreating cards in your hands. The collection is basically divided into a sorted and an unsorted part. Elements from the unsorted part are selected and identified in the correct place in the sorted part.

The given elements are = {7,3,8,5,2}

The first element and the second element are compared in ascending order and then swapped together and the next order is again started.

1st swap =  {3,7,8,5,2}

In the next swap, 7 and 8 are compared and then the next step of the algorithm is done. So no changes are made.

2nd swap = {3,7,8,5,2}

Here, 8 and 5 are compared with each other and placed in ascending order.

3rd swap = {3,5,7,8,2}

In the last swap, 2 is smaller than all the numbers so it is placed in the starting.

4th swap =  {2,3,5,7,8}

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If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

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Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

580

Step-by-step explanation:

"128 less than a number is 452" is represented by:

n - 128 = 452

Solve for 'n':

n - 128 + 128 = 452 + 128 (Addition Property of Equality)

n = 580

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

a)

i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.

ii) Each digit is set to 1 or 0 for exactly half of all combinations.  This means that half of all strings, or 256 / 2 = 128 strings end with a zero.

iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit.  If you consider:

Half of all digits will have the second bit set to 1

Half of all digits will have the fourth bit set to 1

Half of those will overlap

Then that's half the digits, plus half the digits, minus half of half the digits. 1/2 + 1/2 - 1/4 = 3/4

iv) This is a duplicate of iii, so again, 192

b) If we're allowed to repeat the usage of the digits, then answer would be the number of values available to the power of the number of digits used.  We're allowed six distinct digits, so the total combination of 9 digit numbers would be 6⁹, or 10077696

c) In this case we can look at it simply as permutations of the set {"ABC", "D", "E", "F"}, which gives us 4! which equals 24

Answer:

The value is \(P(X = 8) = 0.64 \)

Step-by-step explanation:

From the question we are told that

The number of recognized colors is n = 12

The number of teams is k = 8

Generally the total number of color pairs available to be selected is mathematically represented as

\(N = ^{12} C_2\)

Here C stands for combination

=> \(N = 66 \)

Generally the number of ways of selecting color pairs so that no two teams will have chosen the same pair of color is mathematically represented as

\(P(8) = \ ^{N} P_8\)

\(P(8) = \ ^{66} P_8\)

Here P stands for permutation

\(P(8) =231580827878400 \)

Generally the total number of way the teams can select a pair of color is mathematically represented as

\(P = (N)^8\)

=> \(P = (66)^8\)

=> \(P = 3.6004061*10^{14}\)

Generally the the probability that no two teams will have chosen the same pair of color is mathematically represented as

\(P(X = 8) = \frac{231580827878400}{3.6004061*10^{14}}\)

=> \(P(X = 8) = 0.64 \)

The probability will be "0.64".

According to the question,

The total number of colors represented as:

→ \(N = 12_C_2\)

       \(= 66\)

Generally,

→ Permutation, \(P(8) = N_P_{8}\)

By substituting the value of "N",

                                 \(= 66_P_8\)

                                 \(= 231580827878400\)

Now,

The total number of ways represented as,

→ \(P =(N)^8\)

      \(= (66)^8\)

      \(= 3.6004061\times 10^{14}\)

hence,

The Probability will be:

→ \(P(X=8) = \frac{23158027878400}{3.6004061\times 10^{14}}\)

                   \(= 0.64\)

Thus the above response is right.          

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Answer:

7. <4 and <6

8. <1 and <7

Step-by-step explanation:

hope this helps :)

Answer:

7. ∠6 ≅ ∠4

8. ∠7 ≅ ∠1

Step-by-step explanation:

In the figure at the top, the alternate exterior angles are the angles that are on opposite sides of the transversal and are on the outside of the parallel lines. Those pairs of angles are congruent because of the alternate exterior angle theorem since the two lines are parallel.

Answer: 107,000

Step-by-step explanation:

the exponent is a positive 5, so move the decimal point 5 places right.

if exponent is negative, go the other direction

Answer:

Www

Step-by-step explanation:

Answer:

×2y aquel 2minus ×plus y equals negative1

Answer:

True

Step-by-step explanation:

With a desired confidence of 90%,  which has a z*-score of 1.645, the statements that  are true are:

The 90% confidence interval  can be described as the  range of values  which means that  90% confident  have the  true mean of the population.

Nd as a result of natural sampling variability, the sample mean  could be  vary from sample to sample.

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A recent poll of 124 randomly selected residents of a town with a population of 310 showed that 93 of them are opposed to a new shopping center being built in their town. With a desired confidence of 90%, which has a z*-score of 1.645, which statements are true? Check all that apply. E = z* The sample size is 93. The sample size is 310. The point estimate of the population proportion is 0.4. The point estimate of the population proportion is 0.75. The margin of error is approximately 4%. The margin of error is approximately 6%.

We can check in the graph that the parabola cuts the x-axis when x = -2 and when x = 3.

Therefore, this parabola cab be represented by some factored polynomial with factors (x + 2) and (x - 3) in order to, when x = -2 or x = 3, the quadratic polynomial turns 0.

Then we have:

Answer: D

The degree of a polynomial function with the leading term 7\(x^{5}\)  is 5.

A variable in an equation, such as a quadratic equation or cubic equation, is said to be polynomial if it only contains the positive integer exponents or non-negative integer powers. For instance, the polynomial 3x+5 has an exponent of 1.

What is degree?

The highest degree among the polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics.

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the term of this polynomial is 5.

degree of the polynomial is the highest degree of any of the terms; in this case, it is 5.

Hence, polynomial function with leading term 7\(x^{5}\) has a degree of 5.

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