Write the equation of the line that passes
through the points (3, 1) and (9,-3)

Answer:

x = -7.5

y = 5.5

Step-by-step explanation:

Used graph

Answer:

c. $1.07 is equivalent to 1 7/100

Step-by-step explanation:

hope this helps :)

The value of [tex]a_{4} = 37[/tex].

Here,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

We have to find value of [tex]a_{4}[/tex].

What is Sequence?

A sequence is a collection of elements that are arranged according to a specific pattern.

Now,

The value of [tex]a_{1} = 4[/tex]

And,  [tex]a_{n} = 2 a_{n-1} -1[/tex]

Then to find value of [tex]a_{4}[/tex], we can find [tex]a_{2} , a_{3}[/tex] as;

[tex]a_{2} = -2(a_{1} ) - 1\\a_{2} = -2(4) - 1\\a_{2} = -9[/tex]

And,

[tex]a_{3} = -2(a_{2} ) - 1\\a_{3} = -2(9) - 1\\a_{3} = -19[/tex]

Hence, the value of [tex]a_{4}[/tex] is;

[tex]a_{4} = -2(a_{3} ) - 1\\a_{4} = -2(-19) - 1\\a_{4} = 37[/tex]

Therefore, The value of [tex]a_{4} = 37[/tex].

Learn more about the sequence visit:

https://brainly.com/question/7882626

#SPJ2

Answer:

Area is 12 square meter

Step-by-step explanation:

The formula for the area of a triangle is 1/2 (b)(h)

which is 1/2 (6)(4) which is 12.

Answer:

Step-by-step explanation:

11) strategy:  since they tell us. indirectly,  that the length of  JK is the same as LM then we can set those two equal, solve for X  and then.. when we have X we can figure out the lenght of JK  and LM and then just divide that by 2 go get PK  ( :0 Player Killer ???  no , not that PK)    

solve JK and LM

3x + 23 =9x-19

42 = 6x

7 = x

now that we know x = 7 plug it into either equation to come up with the length of JK or LM .  I'll pick JK just b/c it was 1st

3(7) + 23 = JK

21+23 = JK

44 = JK

now take half of 1/2*JK= 22  that is PK    ( are you sure that 's not player killer?)

PK = 22

12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB

9x-20 = 5x + 28

4x = 48

X = 12

9(12) -20 = BG

88 = BG

2*88 + AB

176 = AB

13) done

14)  strategy: find the angle at L,  and that will also be the arc of MK

copy and past the below helpful trig functions into your computer

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy and past the above :

use which ever trig function you want , we have all the sides of the triangle, I'll use CAH

Cos(Ф) = 9/15

Ф = arcCos(9/15)

Ф = 53.13010°

arc MK = 53.13010°

15)   strategy:  arc JK is just 2 times MK

2*MK = 106.26020°

arc MK = 106.26020°

16) find arc JPK   strategy:  JPK is just the remaining part of a full circle of 360 - MK  = 253.7397°

arc JPK = 253.7397°

Answer:

A

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

    = πr² × [tex]\frac{150}{360}[/tex]

    = π × 12² × [tex]\frac{15}{36}[/tex]

    = 144π × [tex]\frac{5}{12}[/tex] ( cancel 144 and 12 by 12 )

    = 12π × 5

    = 60π

     ≈ 188.5 Km² ( to the nearest tenth ) → A

Answer:

Step-by-step explanation:

Sphere

1.V≈113.1m³

V=4 /3πr3=4/ 3·π·33≈113.09734m³

Sphere

2.R =6cm

Volume of sphere = 4/3πr^3

4/3πr^3=288π

r^3=288*3/4

r^3=216

r=6cm

Cone

3.V≈314.16m³

V=πr^2h/ 3=π·52·12/ 3≈314.15927m³

Cone

4. h≈2.55m

Using the formula

V=πr^2h/ 3

Solving for h

h=3V/ πr^2=3·96/ π·6^2≈2.54648m

Cylinder

5.V≈75.4m³

Solution

V=πr2h=π·22·6≈75.39822m³

Cylinder

6.h≈0.95m

Using the formula

V=πr2h

Solving for h

h=V/ πr^2=75/ π·5^2≈0.95493m

Hope this helped!!!

Explanatio⁣n i⁣s i⁣n a fil⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

the slope is -2/1 or -2x

equation is y= -2x-5

Answer:

4^2+3^2=x^2

16+9=x^2

25=x^2

X=5

So the answer is 5

Answer:

AAAAAA

Step-by-step explanation:

Answer:

119.64m^3

Step-by-step explanation:

Given that

The height is 12.7 m

And the base with the circumference is 18.9 m

We need to find out the volume of the right circular cone

As for determining it first compute the radius

As we know that

Circumference = 2πr

18.9 = 2 × 3.14 × r

r = 3m

Now the volume is

= 1 ÷ 3πr^2h

= 1 ÷ 3 × 3.14 × 3^2 × 12.7

= 119.64m^3

Answer:

$21.8

Step-by-step explanation:

Carlos is buying a shirt that costs $20 the sales tax is 9% what is the total

Given data

Cost= $20

Tax= 9%

Amount of tax=

9/100*20

0.09*20

1.8

Total amount

=1.8+20

=$21.8

Answer:

y = 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the picture attached,

Two lines are the parallel lines and a third line (transversal line) is intersecting these parallel lines.

m∠2 = 60°

a). m∠1 + m∠2 = 180°

m∠1 + 60° = 180°

m∠1 = 180° - 60°

m∠1 = 120°

b). m∠2 = 60° [Given]

c). m∠2 = m∠8 = 60° [Alternate exterior angles are equal]

Answer:

7.20

Step-by-step explanation:

30.66pi ft³

First, we need to find the volume of the cylinder using the following equation

[tex]V = r^2h\pi \\V = (2^2)5\pi \\V = (4)5\pi \\V = 20\pi[/tex]

The volume of the cylinder is 20pi

Next, we need to find the volume of a sphere. Since the cylinder is divided in half by the cylinder, we can use the following equation as if it were whole

[tex]V = \frac{4}{3} r^3\pi \\V = \frac{4}{3} 2^3\pi \\V = \frac{4}{3} 8\pi \\V = 10\frac{2}{3} \pi[/tex]

The volume of both half spheres is 10.66pi

Now we can add both together to get 30.66pi ft³

Answer:

6.4 ft

Step-by-step explanation:

Let “a” be the light post height

Let “b” be the length of the shadow

Let “c” be the distance from the top of the light post to the end of the light post’s  shadow.

Then:

(a X a) + (b X b) = c X c

The Pythagorean Theorem will work pretty well here:

(4 X 4) + (5 X 5) = 16 + 25 = 41

The square root of 41 is: 6.4023

So, about 6.4 ft from the top of the post to the end of the shadow

Answer:

6.4ft

Step-by-step explanation:

Answer:

9√2

Step-by-step explanation:

simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact form:9√2

Decimal form: 12.72792206

Answer:

d) none of these lines fit the data

Answer:

This has to be D - None of the lines fit the data

B > data at the end

A > data at the beginning

C doesn't really match at all.

[tex]\mathtt{: )}[/tex]

Answer:it’s 4 mph

Step-by-step explanation:

Answer: 4mph

Step-by-step explanation:

Edge 2021

Answer:

i think its help..............

Answer:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration

[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]

in order to do so rewrite

[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]

we can also rewrite cos²(x) by using trigonometric indentity

[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]

to apply u-substitution we'll choose

[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]

thus substitute:

[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]

apply substraction integration and:

[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]

use constant integration rule:

[tex] \displaystyle u - \int {u}^{2} du[/tex]

use exponent integration rule:

[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]

back-substitute:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]

finally we of course have to add constant of integration:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Answer:

$6

Step-by-step explanation:

the fixed cost = $13

the variable cost is unknown. It depends on the rounds played. according to the question the additional rounds played is 5 (6 - 1) .Represent the variable cost with x

the next equation can be formed using variables from the question :

$43 = $13 + 5x

collect like terms

$43 - $13 = 5x

$30 = 5x

divide both sides of the equation by 5

x = $6

Answer: x = 15.035677095729 approximately

Round this however you need to.

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

Explanation:

I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.

If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:

sin(Q)/q = sin(R)/r

sin(Q)/PR = sin(R)/PQ

sin(Q)/13 = sin(85)/19

sin(Q) = 13*sin(85)/19

sin(Q) = 0.6816068987

Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)

Q = 42.9693397461 ... or ... Q = 137.0306602539

These values are approximate.

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

Now if Q = 42.9693397461 approximately, then angle P is

P = 180-Q-R

P = 180-42.9693397461-85

P = 52.0306602539

Similarly, if Q = 137.0306602539 approximately, then,

P = 180-Q-R

P = 180-137.0306602539-85

P = -42.0306602539

A negative angle is not possible, so we'll ignore Q = 137.0306602539

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

The only possible value of angle P is approximately P = 52.0306602539

Let's apply the law of sines again to find side p, aka segment QR

sin(P)/p = sin(R)/r

sin(P)/QR = sin(R)/PQ

sin(52.0306602539)/x = sin(85)/19

19*sin(52.0306602539) = x*sin(85)

19*sin(52.0306602539)/sin(85) = x

x = 15.035677095729

This value is approximate.

Round this value however you need to.

Answer:

the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively

Step-by-step explanation:

Given that

The sales tax rate is 8%

And, the purchase price of sweatshirt is $20

We need to find out the sales tax and the total purchase amount

The sales tax is

= $20 × 8%

= $1.60

And, the total purchase amount is

= $20 + $1.60

= $21.60

Hence, the amount of sales tax and the total purchase amount is $1.60 and $21.60 respectively

Answer:

OPA OPA OPA OPA OPA OPA OPA OPA

Step-by-step explanation:

_. ._

\_(``-)_/

Answer:

its by chance yk

Step-by-step explanation:

Answer:

James will need to buy 3 boxes of crackers for the party.

Step-by-step explanation:

remember: 16oz=1 pound

If James needs 3 pounds of crackers, and each box is 20oz, that means each box is a little over 1 pound. (1.25 pounds to be exact). So, we know that he needs to buy 3 boxes of crackers. This is because 20×3=60 ounces which is 3.75 pounds. Meaning, 3 boxes is the correct answer since we can't cut a box in half.

hope this helps!

Answer:

3 boxes

Step-by-step explanation:

First, calculate how many oz in one pound: 16 oz = 1 pound

Now we know that our situation includes smaller to larger.

Since we are going smaller to larger, we need to multiply.

You should multiply 20 x 3 = 60 oz from what I learned.

60 oz = 3.75 pounds. In another situation you would round, but who cares about rounding. Your answer is 99.100% correct

If this was wrong, I'm sorry. The way I learned is smaller to larger: multiply; larger to smaller: divide.

Hopefully, this was right!