Select ALL the correct answers.Consider the geometric sequence below.Select all functions that define the given sequence-4, -6, -9, -27/2, -81/2

From the information provided, we can construct the following triangle;

The measure of angle J is 90 degrees, the measure of angle H is 69 degrees and line HI measures 88 feet. Therefore to calculate line JH;

The answer is 31.5 feet (rounded to the nearest tenth of a foot

SOLUTION

From the expression

combining like terms we have to bring the x-squares together, we have

To write in standard form, the 2x should come before the -5, so we have

Hence the answer is

As given by the question

There are given that the triangle.

Solution

In the dataset given. The distribution is skewed.

The median is usually preferred to other measures of central tendency when your data set is skewed (i.e., forms a skewed distribution)

Thus, the correct answer is median

Answer:

x = 3

Hope this helps!

Step-by-step explanation:

ΔABC is a 45°, 45°, 90° triangle. The longest side ( 6[tex]\sqrt{2}[/tex] ) can be [tex]x\sqrt{2}[/tex] while AB and CB are x. Because 6[tex]\sqrt{2}[/tex] is equal to [tex]x\sqrt{2}[/tex], you can see that x is equal to 6. Both AB and CB are equal to 6. ΔBDC ( CDB ) is a right triangle ( 30°, 60°, 90° ) so, BD = x, CB = 2x, and CD = [tex]x\sqrt{3}[/tex]. CB is equal to 6 so 2x = 6, x = 3.

Answers:

(0,5) and (8,2 ) = 2/3

(2,-1) and (6, 1) = 1/2

(-3,-2) and (- 1,-5) = -3/2​

Explanation:

The slope of a line that goes through two points (x1, y1) and (x2, y2) can be calculated as:

So, the slope of a line that goes through (0,5) and (8,2) is equal to:

The slope of a line that goes through (2, -1) and (6, 1) is:

The slope of a line that goes through (-3, -2) and (-1, -5) is:

Therefore, the answers are:

(0,5) and (8,2 ) = 2/3

(2,-1) and (6, 1) = 1/2

(-3,-2) and (- 1,-5) = -3/2​

We want to find how many miles Jodi traveled if her ride costed $12.50. We also know that a taxi ride has an initial fee of $3.75 plus $1.25 for every 1/2 mile traveled.

This means that for every mile, the fee will be:

And the expression for the cost on terms of the miles traveled will be:

As we know that Jodi spent $12.50 on a ride, we equal the value to the above expression:

And we solve for x, as we want to know the number of miles:

This means that the number of miles that Jodi traveled was 3 and a half.

the zeros are -3, 2/3, and 2

x + 3 = 0

x = -3

We will susbtitute -3 for x in the polynomial:

Since the remainder is zero, this means x + 3 is a factor of the polynomial

Using synthetic division to get the remaining factor after factoring (x + 3):

Using the factor theorem to find other factors:

Using synthetic division:

From the smallest to the largest, the zeros are -3, 2/3, and 2

The marginal relative frequency of customers who prefer sightseeing vacations is (C) 0.14

The ratio of a row total's or column total's frequency to the overall frequency of the data is known as marginal relative frequency. It is frequently used to examine broad trends in a single type of data.

[tex]Marginal relative frequency = \frac{sightseeing(total)}{Total}[/tex]

                                             = 36/260

                                             = 0.1385

                                             ≅ 0.14

Hence, marginal relative frequency of customers who prefer sightseeing vacations is 0.14.

Learn more about marginal relative frequency on:

https://brainly.com/question/15496939

#SPJ1

this is an addition of powers .

on sunday , Margos dad gives 5c, we will represent it as 5^1

therefore: sunday 5^1

Monday 5^1 x ( 5^1)

because bases are the same , we add exponents

this means that 5^1(5^1) = 5^2

Tuesday 5^2(5^1) = 5^3

wednesday 5^3(5^1) = 5^4

thursday 5^4( 5^1)= 5^5

Friday 5^5(5^1)= 5^6

saturday 5^6 (5^1)= 5^7

Given the information on the problem, we can write the 5 pieces of candy for 75 cents like this:

then, for 8 pieces, we would have the following proportion:

then, we can equate both proportions to get the following:

thus, solving for x, we get:

therefore, 8 pieces cost $1.20

Explanation:

We can draw a number line to see the numbers and check which one is greater:

2.5 is on the left of 3, so it is less than 3.

Answer:

2.5 < 3

From the information provided, the zoo nutritionist orders the following quantity of fruits;

Next, we are told that the nutritionist orders 6 times as many tons of pellets than tons of fruits.

This means for every ton of fruit ordered, there was 6 tons of pellets ordered.

Therefore;

ANSWER:

Given,

Company A: the range of the salaries is $60000 and the mean salary is $22000.

Company B: the range of the salaries is $58000 and the mean salary is $29000.

Company C: the range of the salaries is $67000 and the mean salary is $27000.

Company D: the range of the salaries is $63000 and the mean salary is $28000.

Required

The company have least average salary and least variability.

a) From the given data, it is clearly seen that the company that have the lowest salary is $22000.

Hence, the company that have the lowest salary is Company A.

b)From the given data, it is clearly seen that the company that have the least salary variability is $58000.

Hence, the company that have the least salary variability is Company B.

There is a total of 2 + 7 + 11 = 20 shirts

Given:

Given the word problem, we can deduce the following information:

a)

1. Carlos is driving on the freeway at a constant speed.

2. He then speeds up, and exits the freeway and slows down.

Based on hte given information, the graph should have a constant or horizontal line at the first part, increases as he speeds up on the second part, and decreases as he slows down.

Thus the graph should be:

b)

1. Rachel is delivering at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes.

2. She starts up again and drives at a faster speed than before.

So based on the given information, the graph should have a horizontal line at the first part since Rachel is driving at a constant speed. Next, the line should be increasing and higher than the horizontal line since Rachel is driving at a faster speed than before.

Therefore, the graph is:

Salad was left (A) Five and three-sixteenths pounds.

Fraction is the comparison between numbers or mathematical quantities.

Given that, Juan bought pineapple of = (3 + 3/4) pounds = 15/4 pounds

Juan bought strawberries of = (3 + 3/8) pounds = 27/8 pounds

So now the amount total fruit salad = 15/4 + 27/8 = (30+27)/8 = 57/8 pounds

Juan eats = (1+15/16) = 31/16 pounds

Now salad left = 57/8 - 31/16 = (114-31)/16 = 83/16 = (5+3/16) pounds

Hence the correct option is (A).

To know more about Fraction refer to:

https://brainly.com/question/78672

#SPJ1

one interval where the function is increasing is

(-3;1)

one interval where the function is decreasing is

(1;4)

Given:

Shadow of flagpole = 27 feet

Height of the tall student = 6 feet

Shadow of the tall student = 2 feet

Required:

the height of the pole

Explanation:

Both the triangles are similar so the ratio of their corresponding sides are equal

Substituting the given values we get

Final answer:

The height of the flagpole is 81 feet.

Given:

There are given that 6 pages in every chapter and each book have 73 chapters.

Explanation:

According to the question:

We need to find the pages for 54 books.

So,

First, we need to find that 73 chapters mean one book.

Then,

Now,

We need to find the pages for 54 books:

So,

Answer:

P(B)=0.3

Explanation:

Given two independent events, A and B:

Substitute the given values:

The probability of event B is 0.3.

Given

3/4 cup serving of cereal provides 100% of vitamin B6 requirement

The percentage of daily value that would be available in 1/2 of a cup of cereal is:

Hence, the percentage of the daily value in 1/2 of a cup is 66.67%

Ok

Squared root of 2 is a irrational number because it can not be expressed as a fraction.

So the correct choice is Irrational, the last one.

A set of data is given and it is required to find the median:

Recall that the Median is the middle element or the mean of two middle elements in a numerical data set with the elements ordered by their value.

Hence, to find the median, rearrange the scores either in ascending or descending order.

Next, highlight the two middle numbers since the frequency of the scores is even (14):

Find the mean of the two middle numbers to calculate the median for the scores:

Hence, the median score is 82.5.

The median score is 82.5.

Answer:

(k, -2k+21) where k is any integer

Explanation:

Given the following simultaneous equation;

2x+y=21 ..... 1

y=-2x+21 ..... 2

Subtitute equation 2 into 1:

2x + (-2x+21) = 21

2x -2x+21 = 21

0x = 21-21

0x = 0

x = 0/0

Since the variables cannot be determined, we will subtitute x = k

Substitute x = k into equation 2;

From 2: y = -2x+21

y = -2k+21

Hence the solution to the system of equation is (k, -2k+21) where k is any integer

Given linear equations in algebra: -3y >-3-4x

The above is an inequality.

To solve linear equation with two variables we need two equations.

Only one equation is given. The only other explanation is to solve for any of the variables by making it the subject of formula.

Solution

Hence, the prime factorization of 231 is 3•7•11

Hence, the correct option is C.

The measure of an angle

The measure of two legs

1) Andre can construct a congruent triangle using SAS congruence, knowing the angle congruent to LKJ and with a compass measure two legs of that triangle

2) Sketching out we have:

Notice that either with a protractor or with a compass we can measure congruent angles and based on SAS congruence we need two congruent legs to determine a SAS congruence.

3) Hence, Andre needs at least:

The measure of an angle

The measure of two legs

The piecewise function that models the cost of x pounds of trout is:

[tex]C =\left \{ {{30x + 2}\\ x < 10\atop {24x + 6 x \geq 10}} \right.[/tex]

Let the number of pounds of trout is x and the price is C.

For, x < 10 :

From the question, we have

Each pound of trout costs $30

C = 30x + 2     ....1 )

For, x ≥ 10 :

Each pound of trout costs $24.

C = 24x + 6     ....2 )

Therefore, the piecewise function that models the cost of x pounds of trout is:

[tex]C =\left \{ {{30x + 2}\\ x < 10\atop {24x + 6 x \geq 10}} \right.[/tex]

Piecewise Function :

A function with many parts of curves in its graph is said to be piecewise. It implies that based on the value of the input, it has many definitions. In other words, a piecewise function responds differently to various inputs. A piecewise function, or f(x), is a function with various definitions at various intervals of x. A piecewise function's graph is divided into sections that each correspond to one of its definitions. A very good illustration of a piecewise function is the absolute value function.

To learn more about piecewise function visit: brainly.com/question/12561612

#SPJ9