I need help with this

I Need Help With This

Answers

Answer 1

Answer:

45

Step-by-step explanation:


Related Questions

1. Determine the sum of the first 53 terms of the following series: 179+173+167+...

2. Determine the sum of the first 19 terms of the following series: 6−12+24−48+...

Answers

(1) This series consists of terms of an arithmetic sequence:

179 - 173 = 6

173 - 167 = 6

and so on, so that the n-th term in the series is (for n ≥ 1)

a(n) = 179 - 6 (n - 1) = 185 - 6n

Then the sum of the first 53 terms is

[tex]\displaystyle\sum_{n=1}^{53}(185-6n) = 185\sum_{n=1}^{53}1-6\sum_{n=1}^{53}n[/tex]

[tex]\displaystyle\sum_{n=1}^{53}(185-6n) = 185\times53-6\times\frac{53\times54}2[/tex]

[tex]\displaystyle\sum_{n=1}^{53}(185-6n) = \boxed{1219}[/tex]

(2) This series has terms from a geometric sequence:

-12 / 6 = -2

24/(-12) = -2

-48/24 = -2

and so on. The n-th term is (again, for n ≥ 1)

a(n) = 6 (-2)ⁿ⁻¹

and the sum of the first 19 terms is

[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 + (-2) + (-2)^2 + (-2)^3 + \cdots+(-2)^{19}\right)[/tex]

Multiply both sides by -2 :

[tex]\displaystyle-2\sum_{n=1}^{19}6(-2)^{n-1} = 6\left((-2) + (-2)^2 + (-2)^3 + (-2)^4 + \cdots+(-2)^{20}\right)[/tex]

Subtracting this from the first sum gives

[tex]\displaystyle(1-(-2))\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 -(-2)^{20}\right)[/tex]

and solving for the sum, you get

[tex]\displaystyle3\sum_{n=1}^{19}6(-2)^{n-1} = 6\left(1 -(-2)^{20}\right)[/tex]

[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -(-2)^{20}\right)[/tex]

[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -(-1)^{20}2^{20}\right)[/tex]

[tex]\displaystyle\sum_{n=1}^{19}6(-2)^{n-1} = 2\left(1 -2^{20}\right) = 2-2^{21} = \boxed{-2,097,150}[/tex]

HELPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

1/25 of a mile per minute, I think

Step-by-step explanation:

Answer:

1/25

Step-by-step explanation:

V=S:t=1/5÷5=1/5*1/5=1/25

pls help i need both blanks the options for the second one is left, right, up, down PLS HURRY ITS TIMED!!

Answers

Answer:

The graph is shifted 7 units right and 5 units up.

Mrs. Kennedy is teaching an 8th grade class. She is standing 7 meters in front of Catherine. Davis is sitting to Catherine’s left. If Davis and Mrs. Kennedy are 12 meters apart, how far apart are Davis and Catherine?
13.90 meters
5 meters
9.75 meters
4.36 meters

Answers

Answer:

9.75 meters

Step-by-step explanation:

Davis and Catherine are approximately 13.90 meters apart.

How to determine distance apart

To find the distance between Davis and Catherine, we can use the concept of right triangles and apply the Pythagorean theorem.

Let's consider a right triangle where the distance between Davis and Mrs. Kennedy is the base, the distance between Mrs. Kennedy and Catherine is the height, and the distance between Davis and Catherine is the hypotenuse.

According to the given information, Mrs. Kennedy is 7 meters in front of Catherine, and Davis and Mrs. Kennedy are 12 meters apart.

Using the Pythagorean theorem, we have:

(Base)² + (Height)² = (Hypotenuse)²

Substituting the given values:

(12)² + (7)² = (Hypotenuse)²

Simplifying the equation:

144 + 49 = (Hypotenuse)²

193 = (Hypotenuse)²

Taking the square root of both sides:

√193 ≈ 13.89 = 13.90

Therefore, Davis and Catherine are approximately 13.90 meters apart.

Learn more about distance at

https://brainly.com/question/26550516

#SPJ2

Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 EndFraction equals 6 x. – x + = 6x by recognizing properties, rather than solving. Check all that apply.

Answers

Answer:

A, B, F

Step-by-step explanation:

2/3 - x + 1/6 = 6x

Collect like terms

2/3 + 1/6 = 6x + x

(4+1) / 6 = 7x

5/6 = 7x

x = 5/6 ÷ 7

= 5/6 × 1/7

x = 5/42

a) 4 - 6x + 1 = 36x

4 + 1 = 36x + 6x

5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

b) 5/6 - x = 6x

5/6 = 6x + x

5/6 = 7x

This is equivalent to the third step of the simplification

c) 4 - x + 1 = 6x

4 + 1 = 6x + x

5 = 7x

x = 5/7

Not equivalent to any of the steps in the simplification above

d) 5/6 + x = 6x

5/6 = 6x - x

5/6 = 5x

x = 5/6 ÷ 5

= 5/6 × 1/5

x = 5/30

Not equivalent to any of the steps in the simplification above

e) 5 = 30x

x = 5/30

Not equivalent to any of the steps in the simplification above

f) 5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

This Venn diagram shows the pizza topping preferences for 9 students.
What elements are in A and B?
(Look at picture)

Answers

Answer:

I think the answer is C.

Find the product. (-2x^2)^3 ·3x

Answers

Answer:

-24 x^7

Step-by-step explanation:

(-2x^2)^3 ·3x

(-2x^2) (-2x^2) (-2x^2)*3x

-8 x^6 *3x

-24 x^7

What is the explicit formula for this sequence?
-9, -3, 3, 9, 15,

Answers

Answer:

+6

Step-by-step explanation:Look at the trend of numbers and notice. Maybe put it in a table.

SOMEONE PLEASEEE HELP MEEE OUTTTT!!!

Answers

Answer:

cos x= 11/19

x=54.62

Step-by-step explanation:

use cosine to find the angle

Graph of y=(x-3)(x+4)

Answers

Answer:

For graph refer to attachment .

Step-by-step explanation:

We need to plot the graph of a given function . The given function is ,

[tex]\rm\implies y = ( x - 3)(x+4) [/tex]

When we will simplify the RHS term we will get ,

[tex]\rm\implies y = x( x + 4 ) -3(x + 4 ) [/tex]

Simpify the brackets ,

[tex]\rm\implies y = x^2 + 4x -3x -12 [/tex]

Add like terms , we have ,

[tex]\rm\implies \boxed{\blue{\rm y = x^2+x -12}} [/tex]

From the equation :-

The graph will cut x axis at 3 and -4 as x = 3 and -4 are the roots of the equation . The graph will cut y axis at (0,-12) The vertex of the graph will be (-0.5,-12.5)

For the graph refer to attachment .

Diagram shows triangle ABC.
Workout the size of angles x,y,z
x= 70*
y= 30*
z= *

Answers

z=20

A triangle is equal to 180 degrees so 70+90=160
180-160=20

A soccer field is a rectangle 80 meters wide and 100 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

Answers

Answer:

128.06

Step-by-step explanation:

think about the diagonal of the field, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (80, and 100) and now we have to solve for the hypotenuse (or the diagonal). so use pythagorean theorem :

80^2 + 100^2 = c^2

16400 = c^2

c = 128.06

solve the equation on the interval [0,2pi] 5sec(x)+7=-3

Answers

Answer:

Hello,

[tex]x\in \bigg\{\dfrac{2\pi}{3} ,\dfrac{4\pi}{3}\bigg\}\\[/tex]

Step-by-step explanation:

[tex]5*sec(x)+7=-3\\\\sec(x)=\dfrac{-10}{5} \\\\\dfrac{1}{cos(x)} =-2\\\\cos(x)=-\dfrac{1}{2} \\\\x=120^o\ or\ x=240^o\\[/tex]

Answer:

[tex]\sf \boxed{\sf x = \dfrac{2\pi}{3},\dfrac{4\pi}{3}}[/tex]

Step-by-step explanation:

A trigonometric equation is given to us , and we need to find the solutions of the equation within the interval [ 0,2π ]

The given equation is ,

[tex]\sf\longrightarrow 5 sec\ x +7 = -3[/tex]

Add -7 to both sides ,

[tex]\sf\longrightarrow 5sec\ x = -10 [/tex]

Divide both sides by 5 ,

[tex]\sf\longrightarrow sec \ x =\dfrac{-10}{5} [/tex]

Simplify ,

[tex]\sf\longrightarrow sec \ x =-2 [/tex]

Now solve for x ,

[tex]\sf\longrightarrow x = sec^{-1}(-2) [/tex]

Simplify ,

[tex]\sf\longrightarrow x = \dfrac{2\pi}{3}[/tex]

The secant function is negative in the second and third quadrants. Subtracting the reference angle from 2π to find the solution in the third quadrant to find the solution second solution.

[tex]\sf\longrightarrow x = 2\pi -\dfrac{2\pi}{3}[/tex]

Simplify ,

[tex]\sf\longrightarrow x = \dfrac{4\pi}{3}[/tex]

Now here the period of sec x is 2π . Therefore ,

[tex]\sf\longrightarrow x = \dfrac{2\pi}{3} +2\pi n , \dfrac{4\pi}{3}+2\pi n , \textsf{ for any integer n } . [/tex]

Therefore all the possible solutions are ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = \dfrac{2\pi}{3},\dfrac{4\pi}{3}}} [/tex]

Hence the required answer is 2π/3 and 4π/3.

The Area of a room (rectangle) is 320 square feet. If the length is 20 in, what is the perimeter?

Answers

Answer:

72 sq ft

Step-by-step explanation:

A = l × w

320 = 20w

------    ------

20       20

16    =    w

16 + 16 + 20 + 20

^      ^

  32 + 20 + 20

            ^       ^

    32 + 40

         72

The perimeter is 72 square feet.

Hope this helped.

multiply 4111 base 5 with 31 base 5​

Answers

Answer:

304221 base 5   = 9936 base 10

Step-by-step explanation:

4441

    31

4441

244230

304221

what is the length of de

Answers

Answer:

x = 6

Step-by-step explanation:

Since <F = <F, this shows that the triangles are similar. Therefore:

XZ/DF = XY/DE

12/8 = 9/X

Cross multiply

12X = 9*8

12X = 72

X = 72/12

X = 6

Hence the value of x is 6

Tìm x, y sao cho: B=-x^2+2xy-4y^2+2x+10y-8

Answers

Answer:

Hello,

Step-by-step explanation:

All i can do is to show you the ellipse.

simplify 16/18+(-16)/27 answer immediately​

Answers

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

8/27

see this attachment ☝☝

Answer:

8/27

Step-by-step explanation:

Step 1: G_ _ gle

  Answer: 8/27

Bill earns $12 per hour and works at most 40 hours per week. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values

Answers

The independent variable is 12$ per hour since it is a rate of change and the dependent variable is the amount of money earned, since it is dependent on time(hours) worked. The domain is set of possible x values, in this case your domain is [0,40]. Then range is set of possible y values, which is amount earned, which is between 0 and 480. Meaning that your range is [0,480]
The answer is I’m the king of all super man stop da cap g also yeap

What are the possible steps involved in solving the equation shown? Select three options.
3.5 + 1.2(6.3 – 7x) = 9.38

Answers

Answer:

x=5

Step-by-step explanation:

Use the distributive property and the addition and subtraction properties of equality to solve.

3.5+7.56-8.4x=9.38

11.06-8.4x=9.38

-8.4x=-1.68

x=5

Answer:

options:

B,C,D

Step-by-step explanation:

1)The sum of two consecutive multiples of 5 is55. Find these multiples.
2)The sum of three consecutive integers is 93. What are the integers?
3)If five is subtracted from three times a number, the result is 10. What is the number?

Answers

Part 1

Let the consecutive multiples be 5x and 5x + 5

ATQ

5x + 5x + 5 = 55

10x = 55 - 5

10x = 50

x = 5

Answer is 25 and 30

Part 2

Let the number be x , x + 1, x + 2

ATQ

x + x + 1 + x + 2 = 93

3x + 3 = 93

3x = 93 - 3

x = 90/3

x = 30

The integers are 30,31 and 32

Part 3

Let the number be x

ATQ

3x - 5 = 10

3x = 10 + 5

x = 15/3

x = 5

The number is 5

Answered by Gauthmath must click thanks and mark brainliest

What is the perimeter of this parallelogram? Please help asap!

Answers

Answer:

18 units

Step-by-step explanation:

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

Square root of 25 = 5

5 + 5 = 10

(Opposite sides are congruent)

4 + 4 = 8

10 + 8 = 18

Therefore, the perimeter is 18

What is something you do that can be set up as a two step equation? How would you set that up as an equation to explain to someone else how it can be solved?

Answers

As the name implies, a two-step equation is an equation that is solved in just two steps. There are several two-step equations; an example that can be set up as a two-step equation is a target savings with an initial amount and a constant rate of savings.

To set up the target savings equation, we consider the following parameters (I will assume values for the parameters).

[tex]Amount = \$1000[/tex]

[tex]Initial\ Capital = \$50[/tex]

[tex]Rate = \$2[/tex]

Let x be the number of savings.

[tex]Initial\ Capital + Rate \times x= Amount[/tex] ----- the equation

Mathematically, we have:

[tex]50 + 2x = 1000[/tex]

The equation is solved as follows:

The first step is to isolate the variable term by subtracting 50 from both sides

So, we have:

[tex]2x = 950[/tex]

The second step is to solve for x by dividing both sides of the equation by 2

[tex]x = 475[/tex]

This means that you have to save $2 in 475 times to reach the target amount

Read more about two-step equations at:

https://brainly.com/question/17180192

I need e and f
And some explanation

Answers

…….. don’t know this one

Please help me out . Find x please

Answers

Step-by-step explanation:

180-46 = 134

180 - 13 = 177

177-134 = 43

? = 43

b. Compare the similar triangle proof from question 3 with the inscribed square

proof. How are they different? Which method was easier for you to understand?

(1 point)

Answers

Answer:

i might be wrong but this is what i put

Step-by-step explanation:

In question 3 it was comparing three triangles where now it is using the triangles to find the area of a square instead of proving that they are the same.

find sine of angle of inclination to the axis is of line y=1/3x√3+3​

Answers

Answer:

1/2.

Step-by-step explanation:

The inclination of the line to the x axis = 1/3*√3

= √3/3.

This is the tangent of the angle.

The sine of the angle =√3/hypotenuse.

The hypotenuse = √( √3)^2 + 3^2)    (By the Pythagoras theorem)

= √12

= 2√3

Therefore the required sine is  √3/  2√3

= 1/2.

I think that's what you want!!

i need help. i don't understand this at all.

Answers

Answer:

Step-by-step explanation:

If this is in terms of angles, 4x+6 must be equal to 90 since it is half of the angle produced by a line (180°) So solving for 4x+6=90, x=21

Yes that’s the answer

What is the slope of the line given by the equation y=11.2x?

Answers

Answer:

11.2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b where y = y axis, m = slope, x = x-intercept and b = y-intercept

Slope-Form: y = 11.2x where there’s only a slope 11.2x and no y-intercept

Therefore, the slope is 11.2

Answer:

slope = 11.2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 11.2x ← is in slope- intercept form

with slope m = 11.2

What point lies on the line with point slope equation y-3=4(x+7)?

Answers

Answer:

(-7, 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Identify

y - 3 = 4(x + 7)

↓ Compare to Point-Slope Form

Point (-7, 3)

Slope m = 4

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