Solve for X.
93°
3x

Vertical angles

Answer:

We have established the following sequence

6, 12, 18,...

The given is the Arithmetic sequence with the nth term

[tex]a_n=6n[/tex]

d = 6 is a common difference.

Step-by-step explanation:

Given the formula

Sₙ = 3n² + 3n

Put n = 1 to determine the sum of the first term

S₁ = 3(1)² + 3(1)

S₁ = 3 + 3

S₁ = 6

As the sum of the first term includes the only first term, so

a₁ = 6

Put n = 2 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₂ = 3n² + 3n

S₂ = 3(2)² + 3(2)

S₂ = 12 + 6

S₂ = 18

as

S₂ = a₁ + a₂

substituting S₂ = 18, a₁ = 6

18 = 6 + a₂

12 = a₂

so

a₂ = 12

Put n = 3 to determine the sum of the two terms

Sₙ = 3n² + 3n

S₃ = 3(3)² + 3(3)

S₃ = 27 + 9

S₃ =36

as

S₃ = a₁ + a₂ + a₃

substitutingS₃ =36, a₁ = 6, a₂ = 12

36 = 6+12+a₃

a₃ = 36-6-12

a₃ = 18

Thus,

a₁ = 6

a₂ = 12

a₃ = 18

Therefore, the sequence becomes

a₁, a₂, a₃,...

6, 12, 18,...

Let us check the common difference 'd' between the adjacent terms

d = 12 - 6 = 6

d = 18 - 12 = 6

As the common difference 'd' between adjacent terms is the same, therefore the sequence is Arithmetic.

Thus,

Furthermore, the nth term of the Arithmetic sequence can be defined as

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting d = 6 and a₁ = 6

[tex]a_n=6\left(n-1\right)+6[/tex]

[tex]a_n=6n[/tex]

Answer:

mateo has more cards

Step-by-step explanation:

1/2 is greater than 1/4 because 1/4 is 1/2 of a 1/2

Answer:

It will take John 45 minutes (option 3 or C) to finish the test.

Step-by-step explanation:

We know that John is about to take a 75-item quiz. If he finishes 5 items every 3 minutes, then we can divide 75 by 5.

75 ÷ 5 = 15

Now, let's multiply 15 minutes by 3 minutes to get the total amount of minutes.

15 x 3 = 45 minutes

Therefore, it will take John C. 45 minutes to finish the test.

Answer:

x = 79°

y = 22°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°

79° + x° + y° = 180° the given triangular shape is isosceles which means x = 79°

so 79° + 79° + y° = 180° add like terms

158° + y° = 180° subtract 158 from both sides

y° = 22°

Answer:

x=79

y=22

Step-by-step explanation:

its an isosceles triangle meaning that 2 sides are the same and if 2 sides are the same 2 angles are and that means that 79 would have to equal x because that is the one side and then you add the two 79s to get 158 and subtract that minus 180 to get 22 leaving that to be y

79+79=158

180-158=22

y=22

Answer:

1) They were multiplied by one power of ten because 2.5x 1^10 is 25, and so that it is easier to divide.

19.625/ 2.5 * 10/10 = 196.25/25

Hope this helps plz hit the crown ;D

Answer:

x = 97

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing side length.

Step 2: Identify Variables

Leg a = 72

Leg b = 65

Hypotenuse c = x

Step 3: Solve for x

Answer:

the answer is D, 20.5cm

Step-by-step explanation:

x is hypotenuse

hypotenuse formula:

[tex]hypotenuse = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

let 15cm = a

let 14cm = b

[tex]x = \sqrt{15 {}^{2} + {14}^{2} } [/tex]

[tex]x = \sqrt{225 + 196} [/tex]

[tex]x = \sqrt{421} [/tex]

[tex]x = 20.5cm[/tex]

Answer:

c hope this help

Step-by-step explanation:

Answer:

It’s A. 42

Step-by-step explanation:

Answer:

LETS GO WITH B

Step-by-step explanation:

Answer:

32 trucks.

Step-by-step explanation:

3:1

Every time 3 SUV's are sold, one truck is sold. This would also mean that [tex]\frac{3}{4}[/tex] of both trucks and SUV's sold are SUV's. If we divide 128 into fourths, then you get 32. One fourth of 128 is 32. So, they should have 32 trucks (and 96 SUV's)

Answer:

5.1505613031

Step-by-step explanation:

hope it helps!

Answer:

5.1505613031

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Y+4x=1

Step-by-step explanation:

Answer:

Acording to my brain the answer is (-2,-1) In other Words The correct answer is Option B

Step-by-step explanation:

God Bless :)

The ordered pair that needs to be removed in order for the mapping to represent a function is either: (-2, -1) or (2, -2).

The term "function" refers to a relationship between a set of inputs and outputs. Just one output is connected to each input in a function, which connects inputs in that manner. Every function has a domain, co-domain, and range.

To represent a function, each input (x-value) must be associated with only one output (y-value). Therefore, in order for the mapping to represent a function, we need to remove any ordered pairs that violate this rule.

Looking at the options given, we can see that only one option has a repeated x-value:

O (-2, -1) and 0 (2, -2)

Both of these ordered pairs have the same x-value (either -2 or 2), but different y-values. This means that they violate the rule that each input must be associated with only one output.

Therefore, the ordered pair that needs to be removed in order for the mapping to represent a function is either:

O (-2, -1)

or

0 (2, -2)

We need to remove one of these ordered pairs to make the mapping a function.

To learn more about the function;

brainly.com/question/28303908

#SPJ7

Answer:

(-2,-1)

Step-by-step explanation:

Ive done a lot of these problems before, hope this helps

Answer:

C (37, 77)

Step-by-step explanation:

[tex]291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}[/tex]

Option A is not a solution.

[tex]163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}[/tex]

Option B is not a solution.

[tex]77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}[/tex]

Option C is a solution.

Hope this helps.

Answer:

C

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution

A (145, 291 )

y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution

B (78, 163 )

y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution

C (37, 77 )

y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation

2(3^2)−(3)(2)−3(2^2)+9

2(3^2)−(3)(2)−3(2^2)+9

= 9

Answer:

2 2/4

Step-by-step explanation:

add the buttons greater then 1 and it will be 2 2/4

Answer:

100 x 3

Step-by-step explanation:

Well, it's a pretty simple problem.

If she already has 100 ants and it triples every month then, we'd multiply.

Key words like triple, double, twice as much can signal that a problem requires multiplication.

In this case, we'd do 100 x 3

which means that after one month, she'd have 300 ants.

Answer:

C

Step-by-step explanation:

There are three turning points.

The local minimums are (-1,-5) and (1, -5)

The local maximum is (0,-4)

The linear function f Eve can use to determine her pay would be; D. f(x) = 14x + 12

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is the form Ax + B = 0.

Given that Eve earns $14 per hour for yard work and an extra amount for dog walking on Saturdays.

The table shows the data;

Hours 1 2 3 4 5

Pay 26 40 54 68 82

Thus, the linear function f Eve can use to determine her pay is;

f(x) = 14x + 12

To check;

f(x) = 14x + 12

f(x) = 14(1) + 12

f(x) = 14 + 12 = 26

Hence, The linear function f Eve can use to determine her pay would be; D. f(x) = 14x + 12

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ2

Given :  last 10 run scores Colin got in cricket: 1, 16, 5, 25, 26, 32, 5, 7, 1, 7  

Colin plays cricket again on Sunday. He gets 29 runs.

To find : a) Work out Colin's mean score.

b) What is his new mean score

Solution:

last 10 run scores Colin got in cricket

1, 16, 5, 25, 26, 32, 5, 7, 1, 7

Total Score = 1 + 16 + 5 + 25 + 26 + 32 + 5 + 7 + 1 + 7  = 125

Total Innings = 10

Mean Score = 125/10  = 12.5

Colin plays cricket again on Sunday. He gets 29 runs.

=> New Total Score   = 125 + 29 = 154

New Total Innings   = 10 + 1 = 11

New Mean Score    = 154/11  = 14

Mean Score = 12.5

New Mean Score  = 14

Hope this helps! ;)

Answer:

The following are the last 10 run scores Colin got in cricket:

32, 2, 0, 25, 34, 24, 6, 23, 17, 34

a) Work out Colin's mean score.

b) Colin plays cricket again on Sunday. He gets 23 runs.

What is his new mean score?

Give your answers as decimals.

Step-by-step explanation:

answer is

B). g(x) = -5/7 (3/7)^-x

Answer: b

g(x) = -5/7 (3/7)^-x

Step-by-step explanation: have a great day :)

Answer:

38% of 92 rounded to the nearest whole number is 35.

Step-by-step explanation:

First we need to convert 38% into a decimal, 0.38.

Now we multiply 0.38 and 92.

So:

0.38 × 92 = 34.96

34.96 rounded to the nearest whole number is 35.

Answer:

Step-by-step explanation:

v

=

x

3

+

6

x

2

+

5

x

Explanation:

The formula for volume is:  

v

=

l

⋅

w

⋅

h

where  

v

is the volume,  

l

is the length,  

w

is the width and  

h

is the height.

Substituting what we know into this formula gives:

v

=

(

x

+

5

)

(

x

+

1

)

x

v

=

(

x

+

5

)

(

x

2

+

x

)

v

=

x

3

+

x

2

+

5

x

2

+

5

x

v

=

x

3

+

(

1

+

5

)

x

2

+

5

x

v

=

x

3

+

6

x

2

+

5

x

Answer:

Step-by-step explanation:

Let the height = h

L = 5*h

w = h + 8

V = l*w*h

Volume = (h)*(5h)*(h +5)

Answer:D

Step-by-step explanation: The graph of -f(x) is the graph of f(x) reflected over the y-axis.

Answer:

5

Step-by-step explanation:

double 5 is 10

10+3=13

13 multiplied by 4=52

Answer:

9

Step-by-step explanation:

11cos35

Answer:

x = 9.0

Step-by-step explanation:

cos(35) = [tex]\frac{x}{11}[/tex]  

11cos(35) = x

x = 9.0