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2 years ago

If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.

Mathematics

1 answer:

Darina [25.2K]2 years ago

3 0

Answer:

Step-by-step explanation:

An arithmetic progression with first term a and common difference d has the following first 6 terms:

a, a + d, a + 2d, a + 3d, a + 4d, a + 5d

We are given a = 1 and a + 5d = 11.

1 + 5d = 11

5d = 10

d = 2

Answer: The common difference is 2.

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Please solve, really easy, but I really don’t know....

GarryVolchara [31]

Answer:

A) $10inch^3$

B) $270inch^3$

Step-by-step explanation:

The formula for the volume of a cube is:

V = $a^{3}$

Where;

V = Volume

a = side

Plug the information into the formula.

V = $(3 inch)^3$

V = $27 inch^3$

That is the volume of one cube. If all of the cubes have the same length, in order to find the volume of the whole figure, we must count how many cubes there are and multiply that number by the volume.

If I am not mistaken, I can count 10 cubes.

10 times the Volume of one cube = Volume of the solid figure.

$10(27inch^3) = X\\270inch^3 = X$

Therefore, the volume of the solid figure is $270inch^3$

8 0

3 years ago

Intercepts from a graph

Annette [7]

Answer:

Y-intercept: (0,-0.7)

X-intercept: (-1.2,0)

Explanation:

The Y-intercept is the spot where the line crosses the Y axis (the vertical axis). This always occurs where X=0. For this problem the Y value at this point is -0.7. So, for the coordinates (X,Y) X is 0 and Y is -0.7 so it is (0,-0.7)

The X-intercept is the spot where the line crosses the X axis (the horizontal axis). This always occurs where Y=0. For this problem the X value at this point is -1.2. So, for the coordinates (X,Y) X is -1.2 and Y is 0 so it is (0,-0.7)

8 0

3 years ago

Write out the steps that you would follow to solve the equation: 3(x-4) = 2x +5

luda_lava [24]

Answer:

x = 17

Step-by-step explanation:

To solve this equation, we can illustrate the algebraic concepts being employed and solve for the variable.

3(x - 4) = 2x + 5 Distribute the 3 into the parentheses.

3x - 12 = 2x + 5 Subtract 2x from both sides of the equation to combine like terms.

x - 12 = 5 Add 12 to both sides of the equation.

x = 17

6 0

4 years ago

at a particular high school, 42% of the students participate in sports and 25% of the students participate in drama. if 53% of t

baherus [9]

The probability that a student participates in both sports and drama is $0.14$ .

<h3>What is the formula for P(AUB), where A and B are any two events?</h3>

If $A$ and $B$ are any two events, then the probability of the joint event $(A\cup B)$ is given by the following formula: $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Given that 42% of the students participate in sports and 25% of the students participate in drama and 53% of the students participate in either sports or drama.

Suppose $S$ denotes that "a student participates in sports" and $D$ denotes that "a student participates in drama".
So, we have $P(S)=\frac{42}{100}=0.42$ , $P(D)=\frac{25}{100}=0.25$ , $P(S\cup D)=\frac{53}{100}=0.53$ .

We want to find the probability that a student participates in both sports and drama i.e., we want to find $P(S\cap D)$ .

By the above formula, we obtain:

$P(S\cup D)=P(S)+P(D)-P(S\cap D)\\\Longrightarrow P(S\cap D)=P(S)+P(D)-P(S\cup D)\\\Longrightarrow P(S\cap D)=0.42+0.25-0.53\\\therefore P(S\cap D)=0.14=\frac{14}{100}$

Therefore, the probability that a student participates in both sports and drama is $0.14$ .

To learn more about probability, refer: brainly.com/question/24756209

#SPJ9

6 0

2 years ago

Read 2 more answers

Functions<br> F(1) if f(x)=x+3

ratelena [41]

Answer:

the ewser is 4

Step-by-step explanation:

sence x=1 1+3 =4

5 0

3 years ago

If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.​

If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.