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2 years ago

Helppppppppppp???????

Mathematics

1 answer:

Assoli18 [71]2 years ago

7 0

Answer:

an = 3n – 5; a16

Step-by-step explanation:

your answer is a

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R is the midpoint of PQ. PR = 6x + 7 and RQ = 3x + 8, find the length of PQ.

Ksivusya [100]

Answer:

PQ = 18

Step-by-step explanation:

If R is the midpoint of PQ, then PR = RQ

⇒ 6x + 7 = 3x + 8

⇒ 3x = 1

⇒ x = 1/3

So PR = 6x + 7 = 6(1/3) + 7 = 9

and RQ = 3x + 8 = 3(1/3) + 8 = 9

⇒ PQ = PR + RQ = 9 + 9 = 18

6 0

2 years ago

Find the center and radius, then write the standard equation of this circle

kirza4 [7]

Center is at (0, 0) and make sure you label it on the diagram
Radius is 5 units
Equation of circle is
(X-0)^2 + (y-0)^2 = 5^2
X^2 + y^2 = 25

8 0

3 years ago

The mass of each candy in a box is 5g. The mass of the empty box is 20g let T grams represent the total mass of the box and cand

grandymaker [24]

Answer:

$\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}$

Please refer to graph attached.

Step-by-step explanation:

Given that mass of each candy in the box is 5 gm.

Mass of empty box is 20 gm.

Total grams, $T = 5n + 20$

To find: A table of values and graph of the relation.

Solution:

The given equation is nothing but a Linear equation in two variables.

Let us try to create a table of values by putting some values of 'n' and then finding the values for Total grams 'T'.

Let us put $n = 0 \Rightarrow T =5\times 0 +20 = 20$

Let us put $n = 1 \Rightarrow T =5\times 1 +20 = 25$

Let us put $n = 2 \Rightarrow T =5\times 2 +20 = 30$

Let us put $n = 3 \Rightarrow T =5\times 3 +20 = 35$

Let us put $n = 4 \Rightarrow T =5\times 4 +20 = 40$

So, the table of values becomes:

$\begin{center}\begin{tabular}{ c c } n & T\\ 0 & 20 \\ 1 & 25 \\ 2 & 30 \\ 3 & 35 \\ 4 & 40 \\ \end{tabular}\end{center}$

We can see that the value of T is increasing with increasing values of 'n'.

Please refer to the attached image for the graph of given equation.

As it is a linear equation in two variables, it will be a straight line. It will be an increasing positive slope graph.

6 0

3 years ago

Sid says 26 is a multiple of 3. Is Sid correct? Why or why no?

Romashka-Z-Leto [24]

Answer:

The answer to your question is: Incorrect

Step-by-step explanation:

Sid is wrong because 26 is not a multiple of 3.

A number is multiple of three if the sum of its digits is multiple of three.

Example:

24 = 2 + 4 = 6 6 is a multiple of 3

27 = 2 + 7 = 9 9 is multiple of 3

but 26 = 2 + 6 = 8 8 is not a multiple of 3

8 0

2 years ago

Natasha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so tha

Andrei [34K]

There are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.

<h3>What is combination?</h3>

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items.

The number of the possible ways will be calculated by:

$=2 ^{28}C_2+^{28}C_4$

$=\dfrac{28\times 27}{2}+\dfrac{28\times 27\times 26\times 25}{4\times 3\times 2}$

$=756+28853$

$=21231$

Hence there are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.

To know more about Combination follow

brainly.com/question/11732255

#SPJ1

8 0

1 year ago