16. Is the following sequence arithmetic? If so, identify the common difference. -9, -6, -3, 0,..​

Answer:

  FH = 108

Step-by-step explanation:

The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.

__

  EG² = GH² +HE²

  GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values

  FG² = GH² +FH²

  FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values

  FH = √11664 = 108 . . . . . take the square root

The length FH is 108.

Answer:

Jeff is 15 years younger than Joe who is 10

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Answer:

$50.40

Step-by-step explanation:

20% of 63 is 12.5 so subtract that from the price of 63 for the answer of 50.4

The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20

We are given the formula for a sequence as;

aₙ = -5(n² + 1n)

Where n is the position of the term.

Now, for the first term, we will have;

a₁ = -5(1² + 1(1))

a₁ = -10

The second term of the sequence is;

a₂ = -5(2² + 1(2))

a₂ = -20

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Answer:

8 futballs

basketballs 18

beisballs 36

softballs 24

Step-by-step explanation:

dos mas del doble (2) de balones de fut = 8x2 = 16, 16+2 = 18

cuatro menos de 5 veces las pelotas de fut = 8x5 = 40, 40-4 = 36

seis mas de la mitad de beis = 36/2 = 18, 18+6 = 24

LISTO

Using it's concept, it is found that the desired probability is given as follows:

P(the recipient is male) = 0.4242 = 42.42%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there was a total of 224 + 387 + 547 + 776 + 245 + 322 = 2501 recipients, out of which 224 + 547 + 245 = 1016 are males, hence the probability is given by:

P(the recipient is male) = 1016/2501 = 0.4242 = 42.42%.

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Answer:

2(-2)-5(-2)+12

-4-(-10)+12

6+12

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

2(-2)-5(-2)+12

-4+10+12

=18

Hope this helps! ;-)

The shark is 29.78 from the swimmer.

Angle of depression is the angle between the line of sight and the vertical or perpendicular to the earth surface.

Analysis:

The height of the lookout, the distance of shark from swimmer and line of sight form a right angle triangle.

So that, tan 50 = distance of shark from swimmer/25

Distance of swimmer = 25 tan 50

Distance of swimmer from shark = 25(1.1910 = 29.78m

In conclusion, the distance of the shark from the swimmer is 29.78m

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The distance of the shark from the swimmer is 21m

From the question, we are to determine the distance the shark is from the swimmer

In the diagram,

S is the position of the shark

M is where the shark spotter is standing

and B is the position of the swimmer

The distance between the shark and the swimmer is /BS/

Using SOH CAH TOA

[tex]tan 50^\circ = \frac{25}{/BS/}[/tex]

[tex]1.19175 = \frac{25}{/BS/}[/tex]

∴ [tex]/BS/ = \frac{25}{1.19175}[/tex]

/BS/ = 20.97755

/BS/ ≅ 21 m

Hence, the distance of the shark from the swimmer is 21m.

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Answer:

-3x+9y=-57

Substitute the x for 4

-3(4)+9y=-57

-12+9y=-57

Add +12

-12+9y=-57

+12 +12

9y=-45

Now divide the 9 to get y by itself

9y=-45

÷9 ÷9

y=-5

So the value of y is -5

☆anvipatel77☆

•Expert•

Brainly Community Contributor

Answer:

[tex]P(x\leq 0)=0.37[/tex]

Step-by-step explanation:

[tex]P(x\leq 0)= P(0)+P(2)+P(3)P(x\leq 0)= 0.16+0.11+0.10\\P(x\leq 0)=0.37[/tex]

Answer: 0.79

Step-by-step explanation:

0.8%

first we divide 4÷500×100

the we get 0.8%

Answer:

This is so easy it's 0.8%

Step-by-step explanation:

I barely pay attention in class but this is easy work

hope it helps anyways!

p.s i am in k12 sooo ^_^

Answer:

HI = 35

GK = 45

JK = 25

Provided:

Given proportional sides:

Find the scale factor:

Find missing sides:

1) HI = ZV × 5/6 = 42 × 5/6 = 35

2) GK = XY × 5/6 = 54 × 5/6 = 45

3) JK = WX × 5/6 = 30 × 5/6 = 25

Answer:

HI = 35

GK = 45

JK = 25

Step-by-step explanation:

If VWXYZ ~ IJKGH

Then:

YZ and GH is the only pair of corresponding sides for which we have been given the lengths:

YZ = 36  and GH = 30

Therefore,

VWXYZ : IJKGH = 36 : 30 = 6 : 5

Find HI

  ZV : HI = 6 : 5

⇒ 42 : HI = 6 : 5

⇒ 42/HI = 6/5

⇒ 42 · 5 = 6 HI

⇒ HI = 210/6

⇒ HI = 35

Find GK

   YX : GK = 6 : 5

⇒ 54 : GK = 6 : 5

⇒ 54/GK = 6/5

⇒ 54 · 5 = 6 GK

⇒ GK = 270/6

⇒ GK = 45

Find JK

   WX : JK = 6 : 5

⇒ 30 : JK = 6 : 5

⇒ 30 /JK = 6/5

⇒ 30 · 5 = 6 JK

⇒ JK = 150/6

⇒ JK = 25

Answer:

x = 18

Step-by-step explanation:

[tex]\sf x - 3x+9= - 27[/tex]

Let's first combine like terms.

[tex] \sf - 2x+9= - 27[/tex]

Subtract 9 from both sides.

[tex]\sf - 2x= - 27 - 9[/tex]

[tex] \sf - 2x= - 36[/tex]

Divide both sides by −2.

[tex]\sf x=18[/tex]

The length of the arc with a central angle of 285 degrees and a radius of 5 meters is 24.9 meters

The given parameters are:

The length of the arc is calculated using:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

L = 285/360 * 2 * 3.14 * 5

Evaluate

L = 24.9

Hence, the length of the arc is 24.9 meters

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Answer:

8y4 is not a perfect square.

Step-by-step explanation:

Knowing that; A difference of two perfect squares,  A2 - B2  can also be factored into  (A+B) • (A-B)

Verification;

(A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Notes;

AB = BA is the commutative property of multiplication.

AB + AB equals zero and is therefore eliminated from the expression.

Answer:

25  is the square of  5

8 is not a square

Answer:

36

Step-by-step explanation:

The angles of the triangle are equal.

Hence, the sides of the triangle must also be equal.

It is an equilateral triangle.

Equating JK and KL :

Finding KL :

All angles are equal means all sides are equal

KL

Answer:

[tex]x(3x-7)=3x^2-7x[/tex]

Step-by-step explanation:

[tex]\Large \begin{array}{| c | c | c |}\cline{1-3} \textsf{x} & 3x & -7\\\cline{1-3} x & 3x^2 & -7x\\\cline{1-3}\end{array}[/tex]

[tex]\textsf{Therefore,}\quad x(3x-7)=3x^2-7x[/tex]

Answer:

68 cups

Step-by-step explanation:

You must divide then multiply the reciprocal

When you distribute, you independently multiply each term inside the parentheses by the term outside the parentheses.

So

6 x 7 = 42

and

6 x -4n = -24n

So the final answer is: 42 - 24n

*You cannot combine this answer any further since you are subtracting an unknown variable (n) from a number.

Answer:

Step-by-step explanation:

[tex]sin^2({ \theta})+cos^2({ \theta})=1\\cos({ \theta})=-/+\sqrt{1-sin^2({ \theta})} \\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} \\ --- > sin({ \theta})=\frac{1}{3} (known)\\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} =-\sqrt{1-(-\frac{1}{3})} =-\sqrt{\frac{9-1}{9}} =-\frac{2x^{2} }{3}[/tex]

Answer:

about 21 students

Step-by-step explanation:

total students: 150 students enrolled

recognize all letters: 6/7 of the students

To find 1/7 of the students: divided the 150 by 7

150/7 = 21.4285           this is for 1/7th of students

since 1/7th of the students need to learn the alphabet (7/7 - 1/7 = 6/7)

OR

150/7 = 21.4285           this is for 1/7th of students

150/7 x 6 = 128.57        this is for 6/7th of students

150 - 128.57 = 21.4285

The interval for the function to be negative will be (-∞<x<-7).

A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

Here we have a function:-

g(x) = ∛(x+6)

If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-

(-∞<x<-7).

Therefore interval for the function to be negative will be (-∞<x<-7).

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Answer:

(–∞, –6)

Step-by-step explanation:

I got it right on exam.

Answer:

The Area is 10cm, and the perimeter is 14cm

Step-by-step explanation:

Area:

a = w · l    5cm · 2cm =10cm

Perimeter:

p = 2(l+w)  2(5 + 2) = 14

Answer:for area you times them and for perimiter you add

Step-by-step explanation:

hope you understand

Answer:

y = 2x + 3

Step-by-step explanation:

Hi there!

We are given the points (-1, 1) and (3,9) which belong to a line

We want to write the equation of the line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope of the line

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Let's label the values of the points before we start, to avoid confusion and mistakes

[tex]x_1 = -1\\y_1=1\\x_2=3\\y_2=9[/tex]

Now substitute into the formula (note: the formula has SUBTRACTION, and we have NEGATIVE numbers, so we'll end up subtracting a negative)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{9-1}{3--1}[/tex]

Simplify

m=[tex]\frac{9-1}{3+1}[/tex]

m=[tex]\frac{8}{4}[/tex]

Divide

m = 2

The slope of the line is 2

We can substitute this as m in y=mx+b.

y = 2x + b

Now we need to find b

As the equation passes through the point (-1, 1) and (3, 9), we can use either point to help solve for b.

Taking (3, 9) for example:

substitute 3 as x and 9 as y.

9 = 2(3) + b

Multiply

9 = 6 + b

Subtract 6 from both sides

3 = b

Substitute 3 as b in the equation

y = 2x + 3

Hope this helps!

Topic: finding the equation of the line

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Answer:30.28 cm^2

Step-by-step explanation: area of the rectangle = 6x4 = 24

area of semicircle -> (πr^2)/2

radius of semcircle = 4/2 = 2

area of this question semicricle = (π2^2)/2

= 6.28 (3 s.f.)

total area = 24+6.28 =30.28 cm^2

remember put units ^^

Answer:

81728

Step-by-step explanation:

1 libra tiene 16onz, entonces 16 onz* 1277 dolares =20432*4=81728  

Answer:

a. 8

b. -12

c. 18

d. -22

e. 14

f. -2

g. -16

creo q seria asi no estoy muysegurappp