I NEED SOME HELP?
Given the arithmetic sequence {-12, -7, -2, 3, ...} what is the 15th term of the sequence?

Group of answer choices

58

33

43

48

63

Answers

Answer 1

Answer:

58

Step-by-step explanation:

We are given the arithmetic sequence:-

-12,-7,-2,3,...

First, find the common difference which we can obtain by:-

[tex] \displaystyle \large{d = a_{n + 1} - a_n}[/tex]

Check:-

-7-(-12) = -7+12 = 5

-2+7 = 5

3+2 = 5

Therefore, our common difference is 5.

General Arithmetic Term

[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]

Since we want to find the 15th term, substitute a1 = -12, n = 15 and d = 5.

[tex] \displaystyle \large{a_{15}= - 12 + (15 - 1)5} \\ \displaystyle \large{a_{15}= - 12 + (14)5} \\ \displaystyle \large{a_{15}= - 12 + 70} \\ \displaystyle \large{a_{15}= 58} \\ [/tex]


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what is the upper bound and lower bound for 35.7

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Answer:

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Step-by-step explanation:

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[tex] \bf \underline{Solution-} \\ [/tex]

[tex] \sf{ \sqrt[3]{ - 216} } \\ [/tex]

[tex] = \sf{ \sqrt[3]{ \bigg( \frac{1}{216} \bigg)} } \\ [/tex]

[tex] = \sf{ \sqrt[3]{ \bigg( \frac{1}{6} \bigg)^{3} } } \\ [/tex]

[tex] \sf{ = \bigg( \frac{1}{6} \bigg) ^{ \cancel3 \times \frac{1}{ \cancel3} } } \\ [/tex]

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Which situation BEST represents the equation below?

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Answer:

the answer is 294

Step-by-step explanation:

Solve for x: 3 - (2x - 5) < -4(x + 2) (1 point)
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Answer:

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Step-by-step explanation:

Answer:

i think its the first one i hope this helps

Step-by-step explanation:

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Step-by-step explanation:

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How do i work out 91=5k+6

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Step-by-step explanation:

91=5k+6

91-6=5k

85=5k

k=85/5

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what is a bar plot, and what do the vertical lines on a bar plot represent?

Answers

Answer:

If you know what a graph looks like, then it is similar looking if not almost the same. The vertical lines represent what ever your x value is, in example the number of toys you have to how much they cost(ed) your x value would be the number of toys you have.

Step-by-step explanation:

Answer: a bar plot is a type of graph. The vertical lines shows the amount/data.

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Step-by-step explanation:

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Answers

Step-by-step explanation:

I guess we are only talking about quadratic functions/equations here.

the world is not unified regarding what is the standard form of a quadratic equation.

but let's assume your teacher means

standard form

f(x) = y = ax² + bx + c

vertex form

f(x) = y = a(x - h)² + k

so, we are using the provided x, y coordinates to get a, b and c.

3.75 = a×0.125² + b×0.125 + c

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15×16/64 = a/64 + 8b/64 + 64c/64

=> 240 = a + 8b + 64c

4 = a×0.25² + b×0.25 + c

4 = a×(1/4)² + b×(1/4) + c

4 = a/16 + b/4 + c

4×16/16 = a/16 + 4b/16 + 16c/16

=> 64 = a + 4b + 16c

3 = a×0.5² + b×0.5 + c

3 = a×(1/2)² + b×(1/2) + c

3 = a/4 + b/2 + c

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we have now from the third equation

a = 12 - 2b - 4c

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b = 26 - 6c

and therefore

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72 = 18c

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the vertex form

we get this by transforming the standard form.

e.g. by competing the square :

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y - 33/8 = -8(x - 1/8)²

y = -8(x - 1/8)² + 33/8

This year, lashonda watched 85 movies. She thought that 34 of them were very good. If the movies she watched, what percentage did she think were very good

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

60

Step-by-step explanation:

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x=5400÷90

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Answer:

x = 60

Step-by-step explanation:

1) 100x - 10x + 270 = 5670

2) 100(60) - 10(60) + 270 = 5670

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5) 5670 = 5670

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the answer is graph a

1. Please help me with this problem I will give you the brain thing and extra points
Which equation in standard form has a graph that passes through the point (0, -5) and has a slope of 3/4?
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B)3x - 4y = 20
C)4x + 3y = 20
D)4x - 3y = -20

Answers

Answer:

B) 3x - 4y = 20

Step-by-step explanation:

We can eliminate C and D since 4(0) + 3(-5) = -15 (not 20) and 4(0) - 3(-5) = 15 (not -20)

Now we will determine the slopes for A and B to see which one is correct:

A) 3x + 4y = -20 -> 4y = -20 - 3x -> y = -5 - 3/4x -> y=-3/4x - 5 (not right)

B) 3x - 4y = 20 -> -4y = 20 - 3x -> y = -5 + 3/4x -> y = 3/4x - 5 (right)

Therefore, B is correct since the slope is 3/4 and passes through (0,-5)

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve :

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

Step-by-step explanation:

Area of square = (Length of side)

2

By putting the given values, we have:

1728

=

(length of side)

2

×

8

Solve for length of side,

Length of side of square base of pool =  

1728

8

=

12

 

f

e

e

t

This gives us the dimensions around the pool, which is 18.73ft for each side. Thus, each side will be  

12

×

3.5

 

f

e

e

t

2

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f

e

e

t

2

.

You have  

4

sides to enclose the pool multiply this area by four, and you arrive at the square feet surrounding the pool:

42

×

4

=

168

 

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e

e

t

2

Hikers walk 3 miles east and then 2 miles north and take a water break. They continue
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straight edge and grid paper for your graphic to represent this problem.

Answers

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

Hikers walk 3 miles east and then 2 miles north and take a water break. Hence:

(x, y) ⇒ (x + 3, y + 2)

They continue hiking 4 miles east and a final 2 miles south to their destination:

(x, y) ⇒ (x + 3 + 4, y + 2 - 2) ⇒ (x + 7, y)

The single transformation that took place from their starting position to their final destination is (x, y) ⇒ (x + 7, y)

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Express the product of (x + 1) and (3/2x+5/3)as a trinomial in simplest
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Answers

The product of the given expression (x + 1)(3/2x+5/3) is 3/2x² + 29x/6.

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So, (x + 1)(3/2x+5/3):

Now, solve as follows:

(x + 1)(3/2x+5/3)x(3/2x+5/3) + 1(3/2x+5/3)3/2x² + 5/3x + 3/2x + 5/33/2x² + 2(5)x + 3(3)x + 2(5)x/63/2x² + 10x + 9x + 10x/63/2x² + 29x/6

Therefore, the product of the given expression is 3/2x² + 29x/6.

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Write an algebraic expression that represents

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Write the algebraic expression that represents: 8-b/6

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I don’t know how to explain but I can work out the correct ans
To find how much is needed for one person
280/4=70
For 10 person:70*10=700

To practice for a competition, Maggie swam 940 meters in the pool each day for 2 weeks. How many kilometers did Maggie swim in those 2 weeks? 1 m = 0.001 km

Answers

Based on the number of days that Maggie swam and the distance swam everyday, Maggie swam 13.16km

Maggie swam 940 meters each day. She did this for two weeks. The total distance she swam is:

= 940 x 2 x 7 days a week

= 13,160 meters

A meter is 0.001km so 13,160 meters in kilometers would be:

= Number of meters x Conversion factor

= 13,160 x 0.001

= 13.16 km

In conclusion, Maggie swam 13.16 km.

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I’m pretty sure they are the same distance away from the paleontologist. Both eight units away.

Answer:

0.5 miles

Step-by-step explanation:

P(1,3)   A(6,6)   B(7,1)

PA = √(6-1)²+(6-3)² = √34 = 5.83

PB = √(7-1)² + (1-3)² = √40 = 6.32

PB-PA = 6.32 - 5.83 = 0.49 ≈ 0.5

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Answers

Answer:

x = 2

Step-by-step explanation:

We know that

The diagonals of a rectangle are of equal lengthThe diagonals bisect each other

Considering the above we have:

EG = HF = 2JF = 2JH

Substitute the given values and solve for x:

24x - 8 = 2*(8x + 4)24x - 8 = 16x + 824x - 16x = 8 + 88x = 16x = 16/2x = 2

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Find the equation of the line that is perpendicular to the line
6x – 4y = 3 and passes through the point (6,-1).

(a) Find the slope of the given line 6x – 4y = 3.

(b) What is the slope of a line that is perpendicular to the above line?

(c) Now, find the equation of the perpendicular line that passes through (6,-1).

Answers

Answer:

a). y = 3/2x - 3/4    b).-2/3       c).y = -2/3x + 3

Step-by-step explanation:

a). 6x – 4y = 3

-4y = -6x + 3

y = 3/2x - 3/4

 - The slope is 3/2.

b). The slope of a perpendicular line would be the opposite: -2/3

c). y = -2/3x + b

-1 = -2/3(6) + b

-1 = -4 + b

3 = b

y = -2/3x + 3

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