Choose the correct equation for an arithmetic
sequence in which t(4) = 8 and t(10) = 32
-

Answer:

If in rectangular coordinates we have a point (x, y), then the angle defined between the x-axis and a ray that connects the point with the origin is defined by:

Tan(θ) = y/x

Cos(θ) = x/(√(x^2 + y^2))

Sin(θ) = y/(√(x^2 + y^2))

Ctg(θ) = x/y

Sec(θ) = √(x^2 + y^2)/x

Csc(θ) = √(x^2 + y^2)/y

Ok, now we have all the equations.

We know that:

Sec(C) = 30/24

Then:

√(x^2 + y^2) = 30

x = 24

Replacing x in the first equation we get:

√(24^2 + y^2) = 30

y = √(30^2 - 24^2) = 18

Then we have:

x = 24

y = 18

√(x^2 + y^2) = 30

So we can just replace these in the equations:

Tan(C) = y/x = 18/24

Cos(C) = x/(√(x^2 + y^2)) = 24/30

Sin(C) = y/(√(x^2 + y^2)) = 18/30

Ctg(θ) = x/y = 24/18

Sec(θ) = √(x^2 + y^2)/x = 30/24

Csc(θ) = √(x^2 + y^2)/y = 30/18

Answer:

si simon chavon

Step-by-step explanation:

Answer:

(x-3)^2+(y-2)^2=16

Step-by-step explanation:

center is (3,2)

radius is 4

Answer:

B. 0.40 and 2/5

[tex]40\% = \frac{40}{100} \\ = \frac{2}{5} \: and \: 0.4[/tex]

Answer:

B

Step-by-step explanation:

A and C are instantly eliminated since the decimal is wrong. B has the most simplified fraction of 40%.

Answer:

a^2

Step-by-step explanation:

a is the side and the area is a^2

Answer:

right! it's B

Step-by-step explanation:

-----------------

Answer:

A

Step-by-step explanation:

To find 10% of 500 you would multiply 500 by 0.1

Answer:

[tex]105\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex]. Plugging in given values, we have [tex]V=1.5\cdot 10\cdot 7=\boxed{105\:\mathrm{m^3}}[/tex].

Answer:

105

Step-by-step explanation:

Length × Width × height

10×7× 1.5

(10×7) 1.5

70×1.5

=105

Answer:

64 (if 4 x 4 x 4) or

12 (it could be any of them)

Step-by-step explanation:

Since "3" is related to l x w x h.

You can either do 4 x 4 x 4

or

4 x 3

It depends what formula (aka L x W x H).

Answer:

64

Step-by-step explanation:

= [tex]4^{3}[/tex]

= (4) * (4) * (4)

= 64

Hope this helps :)

Answer:

172,600

Step-by-step explanation:

hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were

so 181,000+187,000+144,000+176,000+175,000=863,000

then divide by 5

863,000/5=172,600

hope this helped !

Answer:

yooooooo its 2

Step-by-step explanation:

Answer:

a equal to five.b equal to three

b=3

Answer:

Pretty sure its E sorry if I'm wrong I learned this like 2 years aho

Answer:

5in

Step-by-step explanation:

Given data

Lenght= 4 in

Width= 6 in

Height= 3 in

Applying the Pythagoras theorem,

Let the longest pencil that could fit in be z

z^2= l^2+ h^2

z^2= 4^2+ 3^2

z^2= 16+9

z^2= 25

z= √25

z= 5 in

Hence the longest pencil is 5in

Answer:

16w^2  - 24w + 9

Step-by-step explanation:

To simplify this, you would use the special product (a - b)^2 = a^2 - 2ab + b^2. We can correlate this with the given term so that,

a = 4w

and

b = 3

Now we just substitute into a^2 - 2ab + b^2

(4w)^2 - 2(4w)(3) + (3)^2

16w^2  - 24w + 9

==========================================================

Explanation:

(4w-3)^2 is the same as (4w-3)(4w-3) because squaring something is the same as multiplying it by itself.

Another example would be something like 7^2 = 7*7

-----------

So we're asked to expand out (4w-3)(4w-3)

Let's make x = 4w-3 and replace that first copy of '4w-3' with 'x'

We get this expression:  x(4w-3)

Distribute the x through to get...

x(4w-3)

x*4w + x*(-3)

4wx - 3x

-------------

Now replace the x with (4w-3) and apply distribution twice more

4wx - 3x

4w(4w-3) - 3(4w-3)

16w^2 - 12w - 12w + 9

16w^2 - 24w + 9  which is the answer

-------------

You can use the FOIL rule as an alternative method to get this answer. The box method is a visual tool to keep all the terms organized. See the attached image below for what I mean by the box method. The four terms inside the boxes represent the four terms from 16w^2 - 12w - 12w + 9, which was the second to last step we got shown above.

Yet another alternative you could use is the perfect square formula which is

(a-b)^2 = a^2 - 2ab + b^2

where in this case, a = 4w and b = 3.

Answer:

m = 6

Step-by-step explanation:

(8m+4) + 38 = 90 ( since they are complementary angles )

8m + 42 = 90

8m = 90 - 42

m = 48/8

m = 6

Answer:

38+8m+4=90 degree(being perpendicular)

42+8m=90

8m=90-42

m=48/8

m=6

Step-by-step explanation:

Answer:

the plane landed at 10:43 A.M

Answer:

134π

Step-by-step explanation:

c = 2πr

c = 2π(67)

c = 134π

Answer:

Mai

Step-by-step explanation:

1. 21.675 R $22

2. $21

Mai is the correct method because 15%-100%=85, which shows the percentage that is left to multiple. Then she multiples 0.85 times 2 as she was able to take off 15% twice. Elena's is incorrect because she added the two 15% off and subtracted that by 100 giving her 70. Which is the incorrect decimal to multiple by. Hope this helps.

Go check out Quelenasboutique on Etsy

Answer: For 1

B

Step-by-step explanation:

15,700/ 1/4= 15,700-3,925-3,000/12 =731.25

Answer:

1396

Step-by-step explanation:

Profit= revenue-cost

Let's start off by calculating the revenue (the amount they get when they sold the stock) 200*66=13200

Now we need to calculate the cost

40+50+200(.32+.25+58)=11804

13200-11804=1396

Answer:C is correct

Step-by-step explanation:

200*58= 11600

Commission = 40+ (200*0.25)

Commission = 90

Total = 11690

Sell

200*66= 13200

Commission 50+ (0.32*200)

Commission = 114

Sell for 13200-114 = 13086

Profit = 13086 - 11690

Profit = 1396

It is helpful

Answer:

[tex] log(2x) = 2 \\ 2x = {10}^{2} \\ 2x = 100 \\ x = 50[/tex]

The value of x that satisfies this equation log(2x) = 2 is 50

The equation is given as:

log(2x) = 2

Change the equation to an exponential equation

2x = 10^2

Evaluate the exponent

2x = 100

Divide both sides by 2

x = 50

Hence, the value of x that satisfies this equation log(2x) = 2 is 50

Read more about equations at:

https://brainly.com/question/2972832

#SPJ2

The new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function f(x) shown in the coordinate plane.

The function g(x) = f(2x)

As we can see in the new function g(x) it is the transformation of the f(x).

Transformation is applied as below:

x → 2x   (x is replaced by the twice of it)

= f(x)

= f(2x)

= g(x)

When the function is multiplied by a positive number it will be stretched or compressed according to that factor vertically and in the given function the factor is 2 which means the g(x) will be stretched or compressed according to that factor.

Thus, the new function g(x) which is equal to f(2x) will be stretched or compressed by the factor 2.

Learn more about the function here:

brainly.com/question/5245372

Answer:

is there a graph that shows where the point is? I can’t help without a graph

Step-by-step explanation:

Answer:

The third option if you ment to type 54 and not 5.4 if you meant 5.4 then that would be 5 and four tenths.

Step-by-step explanation:

Hope this helps ❤️

9514 1404 393

Answer:

  y' = -sin(x)

Step-by-step explanation:

Your table of derivatives of trig functions tells you the derivative of the cosine is the opposite of the sine.

  dy/dx = -sin(x)

Answer:

[tex]→y = \cos(x) \\ \boxed{\frac{dy}{dx} = - \sin(x) }✓[/tex]

Answer:

What table were you looking for?

Step-by-step explanation:

I’ve actually never seen a problem like this either.