The difference of 1 and twice a number is at most one third the
number(Which of the following models this description?
A. 21 – 2x<_ 1/3x
B. 21 – 2x = 1/3x
C. 21 – 2x >_ 1/3x
D. 21 – 2x < 1/3x

Answer:

∠8 and ∠16.

Step-by-step explanation:

Given the diagram we have to find the angles which are corresponding angles with ∠12. Those angles which are on the same side of traversal called corresponding angles. By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16.

An equilateral triangle is a special triangle with three equal sides and three equal angles measuring 60 degrees each.

An equilateral triangle is a special type of triangle in which all three sides are equal in length, and all three angles are equal, measuring 60 degrees each. Let's denote the vertices of the equilateral triangle as X, Y, and Z.

Properties of an equilateral triangle:

Equal side lengths: In an equilateral triangle, all three sides (XY, YZ, and ZX) have the same length. This means that the distance from X to Y, Y to Z, and Z to X are all equal.

Equal angles: Each angle of an equilateral triangle measures 60 degrees. This is because the sum of the interior angles of any triangle is 180 degrees, and since an equilateral triangle has three equal angles, each angle measures 180 degrees / 3 = 60 degrees.

Symmetry: An equilateral triangle has rotational symmetry of order 3, meaning it can be rotated 120 degrees clockwise or counterclockwise around its center and still appear the same.

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Answer:

Approximately 8 meters

Step-by-step explana

Using arithmetic sequence concepts, it is found that:

a) Yes, it is an arithmetic sequence. as the common difference is constant.

b) The sequence is: \(a_n = 120n + 1930\)

c) The company plans to produce 82,320 cases during the next 24 months.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term.

The sum of the first n terms is given by:

\(S_n = \frac{n(a_1 + a_n)}{2}\)

Item a:

The production will be increased  by an additional 120 cases each month for the next 24 months, which means that the common difference is constant, so yes, it is an arithmetic sequence.

Item b:

Then, the sequence is:

\(a_n = a_1 + (n - 1)d\)

\(a_n = 2050 + 120(n - 1)\)

\(a_n = 120n + 1930\)

Item c:

\(a_1 = 2050\)

\(a_24 = 120(24) + 1930 = 4810\)

Then:

\(S_{24} = 12(2050 + 4810) = 82320\)

The company plans to produce 82,320 cases during the next 24 months.

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Answer:

First, you distribute 2(2x-1/2)

2(2x) and 2(-1/2)

Now, you have 3x-2=4x-1

Then, you move 2 to the right side by adding so you can cancel it out.

Then, you move 4x to the left side by doing the same thing with 2

Now, divide both sides by -1

The answer is C, z= -1.

3x-2=2(2x-1/2)

3x-2=4x-1

3x=4x+1

-x=1

-x/-1 = 1/-1

= x=-1

Answer:

She will see 96 commercials.

Step-by-step explanation:

The equation represents the inequality will be y < −2x + 3.Option d is correct.

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

\(\rm m= \frac{1-3}{1-0} \\\\ \rm m= -2\)

On putting the given origin value;

\(y < -2x+3 \\\\0 < -2(0)+3\\\\0 < 3\)

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

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The equation represents the inequality will be y < −2x + 3.Option d is correct.

What is linear inequality?

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

On putting the given origin value;

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

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Answer:

It would be Graph D

Step-by-step explanation:

It's graph D because according to the graph, it looks like the domain has 2 ranges since it made a vertical line. And as we know, vertical lines are not considered to be functional since a domain can't have more than one range.

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Step-by-step explanation:

is this simultaneous equation

reply in the comments

Answer:

Population = starting population * ( 1 + rate) ^ years

y = 370,000 * (1.079) ^ t

Step-by-step explanation:

Given that Ben bowled 134 and 213 at his first two games.

Let Ben bowled x in his third game, then the average of his three bowling would be

If Ben has an average of at least 160, then the value of x is as calculated below:

Hence, Ben must bowl at least 133 to have an average of at least 160

Answer:

The answer is 2.55

Step-by-step explanation:

As, the original price = $17

So, 85% of it have been reduced from it so

85% of 17

= 85/100 x 17 = 14.45

So it have reduced by $14.45

So, $17 - $14.45= $2.55

The correct option is c. 0..10

.What are integers?

Integers are a set of numbers that are positive, negative, and zero.

A collection of integers is represented by the letter Z. Z = {...-4, -3, -2, -1, 0, 1, 2, 3, 4...}.

What are values?

Values are numerical quantities or a set of data. It is given that the variable x is an integer.

To find out the possible values of x, we will use the expression below.x ≥ 0.

This expression represents the set of non-negative integers. The smallest non-negative integer is 0.

The possible values that x can evaluate to will be from 0 up to and including 10.

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Answer:

22 divided by 2 is 11

Step-by-step explanation:

Answer:

Yes, the last digit i think its 10 is a outlier.

Step-by-step explanation:It is one because it just   stick in the chart, like it   fit in

Answer:10 foot is the outlier

Step-by-step explanation:it differs

from the rest

Answer:

a/q ratio 5:3 total money is divided in 8 parts so 1 part =rs 80 so b&a got 80×5=400 & 80×3 =240 resp

Answer:

first find the total = 5+3=8

now 5/8×640 =5×80 = 400 rupees

3/8×640 =3×80 = 240 rupees

so Bishu gets 400 rupees and Arpana gets 240 rupees.

hope you understood!!

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Answer:

4 1/4 lbs of onions = 1llb so there are 4 x 3 servings = 12 servings in 1 lb 6 servings in 1/2 lb total of 12+6= 18 servings you can also use ratio and proportion converted to decimals to eliminate fractions ,25/3= 1.5/x cross multiply .25x= 4.5 x=18 hope this helps

Step-by-step explanation:

PLEASE GIVE BRAINLIEST !
I hope this helps :)

thank you and have a good day

Answer:

She would arrive 1 hour earlier than originally planned

Step-by-step explanation:

20 times 50 = 1000

this is the number of miles that Reena would travel at the speed of 50 mph for 20 hours.

If she drives 60 mph for the first 5 hours, she has so far driven 300 miles.  if she travelled 50 mph for the remained of the trip, we can figure out the amount of time she spent in this period by diving the remainder of 1000 - 300 = 700 by 50.

700/50 = 14

14 + 5 = 19

20 - 19 = 1

Answer:

Percent of cookies to total desserts = 75%

Step-by-step explanation:

Given:

Number of brownies sold by Katie = 5 brownies

Number of cookies sold by Katie = 15 cookies

Find:

Percent of cookies to total desserts

Computation:

Number of total desserts = 5 brownies + 15 cookies

Number of total desserts = 20 desserts

Percent of cookies to total desserts = [Number of cookies sold by Katie / Number of total desserts]100

Percent of cookies to total desserts = [15 / 20]100

Percent of cookies to total desserts = [0.75]100

Percent of cookies to total desserts = 75%

The hypotenuse - leg congruency can be applied in both right triangles.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent by RHS rule.

In other words, if the hypotenuse and a leg of a right triangle are each congruent with the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.

Hence, the legs of the right triangle are congruent and one of the legs are congruent.

Therefore, the hypotenuse - leg congruency can be applied.

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The output changes from code segment 1 to code segment 2 based on which integers are included or excluded from the sum.

Code segment 1 prints the sum of the integers from 1 through 30, inclusive. This means that it adds up all the integers from 1 to 30, including both 1 and 30, and prints their sum. Code segment 2 likely changes the output by either excluding or including certain integers in the sum.
If code segment 2 excludes certain integers, then the sum printed would be smaller than the sum printed in code segment 1. For example, if code segment 2 excludes the integer 15, then the sum would be the sum of all integers from 1 to 14, and then from 16 to 30, which is a smaller sum than the sum of all integers from 1 to 30.
On the other hand, if code segment 2 includes additional integers, then the sum printed would be larger than the sum printed in code segment 1. For example, if code segment 2 includes negative integers, then the sum would include the sum of all negative integers from -30 to -1, in addition to the sum of all positive integers from 1 to 30.
Therefore, the output changes from code segment 1 to code segment 2 based on which integers are included or excluded from the sum.

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Answer:

224

Step-by-step explanation:

Solution,

n.o of stance on each page=14

n.o of pages=16

Now,

the total n.o of stamps=14×16

=224,,

There are **16,640** valid passwords. There are two cases to consider: passwords that are 5 characters long, and passwords that are 6 characters long.

**Case 1: 5-character passwords**

There are 26 choices for each of the first 3 characters, since they can be lowercase letters or digits. There are 10 choices for the fourth character, since it must be a digit. The fifth character must be different from the first three characters, so there are 25 choices for it.

Therefore, there are $26 \times 26 \times 26 \times 10 \times 25 = 16,640$ 5-character passwords.

**Case 2: 6-character passwords**

There are 26 choices for each of the first 4 characters, since they can be lowercase letters or digits. The fifth character must be different from the first four characters, so there are 25 choices for it. The sixth character must also be different from the first four characters, so there are 24 choices for it.

Therefore, there are $26 \times 26 \times 26 \times 25 \times 24 = 358,800$ 6-character passwords.

Total

The total number of valid passwords is $16,640 + 358,800 = \boxed{375,440}$.

The first step is to determine how many choices there are for each character in a password. For the first three characters, there are 26 choices, since they can be lowercase letters or digits.

The fourth character must be a digit, so there are 10 choices for it. The fifth character must be different from the first three characters, so there are 25 choices for it.

The second step is to determine how many passwords there are for each case. For the 5-character passwords, there are 26 choices for each of the first 3 characters, and 10 choices for the fourth character,

and 25 choices for the fifth character. So, there are $26 \times 26 \times 26 \times 10 \times 25 = 16,640$ 5-character passwords.

For the 6-character passwords, there are 26 choices for each of the first 4 characters, and 25 choices for the fifth character, and 24 choices for the sixth character. So, there are $26 \times 26 \times 26 \times 25 \times 24 = 358,800$ 6-character passwords.

The third step is to add up the number of passwords for each case to get the total number of passwords. The total number of passwords is $16,640 + 358,800 = \boxed{375,440}$.

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Answer: 63,343

Step-by-step explanation:

3,649 = 3,000 + 600 + 40 + 9

Now, the multiplication:

( 3,000 + 600 + 40 + 9 ) * 7

21,000 + 42,000 + 280 + 63

Making the sum:

63,343

Given that cos(x) = -5/31 and x lies in the interval [2, π], we can find the values of tan(x) and sin(x) using the given information. sin(x) = √(936/961) and tan(x) = -31√(936/961)/5.

We are given that cos(x) = -5/31 and x lies in the interval [2, π]. Our goal is to find the values of tan(x) and sin(x) based on this information.

We start by finding sin(x) using the trigonometric identity sin^2(x) + cos^2(x) = 1. Rearranging the equation, we have sin^2(x) = 1 - cos^2(x).

Plugging in the value of cos(x) = -5/31, we can calculate sin^2(x) as follows:

sin^2(x) = 1 - (-5/31)^2

sin^2(x) = 1 - 25/961

sin^2(x) = (961 - 25)/961

sin^2(x) = 936/961

Taking the square root of both sides, we find sin(x) = ±√(936/961). Since x lies in the interval [2, π], we know that sin(x) is positive. Therefore, sin(x) = √(936/961).

To find tan(x), we can use the relationship tan(x) = sin(x)/cos(x). Substituting the values we have, we get:

tan(x) = √(936/961) / (-5/31)

tan(x) = -31√(936/961)/5

Thus, in the specified interval [2, π], sin(x) = √(936/961) and tan(x) = -31√(936/961)/5.

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Answer:

what are the options?

Answer:

x + 1 + x + 2+ x + 3 + x + 4

4x + 10

2( 2x + 5)

hope it helps