Find a formula for the nth term in this
arithmetic sequence:
a₁ = -7, a2 = -1, a3 = 5, a4 = 11,

Answer:

9

Step-by-step explanation:

6 divided by 2 equals 3 then you multiply 3 by 3 which equals 9.

Hope this helps!!!!!!!!!!

Be safe!!!!!!!

Answer:

9 miles

Step-by-step explanation:

Given scale:  2 in = 3 miles

⇒ 1 in = 1.5 miles

If the width of the plot of land is 6 inches, then to calculate the actual width multiply 6 by 1.5:

actual width = 6 × 1.5 = 9 miles

Answer: hii

real :)

Step-by-step explanation:

"While it is not a real number — that is, it cannot be quantified on the number line — imaginary numbers are "real" in the sense that they exist and are used in math. Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations."

Hopefully this helps you

- Matthew

Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. The finance charge on this loan is 6.9%.

Suppose there is an initial amount as P.

The interest, or say charge on it is applied annually as 'C' amount.

Taking how much percent of P is C, we get:

[tex]APR = \dfrac{C}{P} \times 100[/tex]

Given;

Principal =$2,200

interest = $132

Service charge = $21.

To find finance charge we use

Finance charge (FC) = interest + service charge(SC)

= $132 + $21

= $153

Therefore

APR = Finance charge / Principal

= $153 / $2200

= 0.069 or 6.9%

Therefore, The finance charge on this loan is 6.9%.

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Answer:

3

Step-by-step explanation:

Y intercept when x = 0

F(0) = 3 * 4^(0) = 3 * 1 = 3

Answer:

PQ = 4

Step-by-step explanation:

[tex]tan(30)=\frac{RQ}{8}\\RQ=8tan(30)\\RQ=\frac{8}{3}\\RQ=\frac{8}{3}/3\\HYPOTENUSE=8\\PQ = 4\\[/tex]

Answer: 540 cm³

Step-by-step explanation:

    The volume of a rectangular prism can be found with:

V = L * W * H

-> L is the length

-> W is the width

-> H is the height

V = L * W * H

V = 18 cm * 7.5 cm * 4 cm

V = 540 cm³

         The volume is 540 cm³.

Answer:

[tex]\sf C = 37.7~in.[/tex]

_________

[tex]\sf Steps[/tex]

         [tex]\sf Formula:[/tex]  [tex]\pi d = \pi * diameter[/tex]

_________

[tex]\sf Solve[/tex]

[tex]\pi * d(12) = 37.7~in.[/tex]

The cost per paint brush is $4 if the Nevaeh pays a total of $24

for two sets of paint brushes, and each set costs the same amount of money and contains three paint brushes.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Nevaeh pays a total of $24 for two sets of paint brushes. Each set costs the same amount of money and contains three paint brushes.

The cost for each set = 24/2 = $12

In each sets of paint brushes there are total of 3 brushes which cost $12

So, each brush cost = 12/3 = $4

Thus, the cost per paint brush is $4 if the Nevaeh pays a total of $24

for two sets of paint brushes, and each set costs the same amount of money and contains three paint brushes.

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Answer:

The exact area is [tex]5\pi[/tex]

Step-by-step explanation:

The area of the major circle is subtracted from the area of the minor circle (blank)

Major circle

[tex]r=\frac{6}{2} =3[/tex]

[tex]A=\pi r^{2} =\pi (3)^{2} =\pi (9)=9\pi[/tex]

Minor circle:

[tex]r=\frac{4}{2} =2[/tex]

[tex]A=\pi r^{2} =\pi (2)^{2} =\pi (4)=4\pi[/tex]

The shaded area:

[tex]9\pi -4\pi =5\pi[/tex]

Hope this helps

Answer:

the answer of the question is A

Answer:

it would be 59.5

Answer: C, 2 x 2 x 2 x 2 x 2 x 3

Step-by-step explanation: Hope this helps!

Answer:  i believe it is D

Step-by-step explanation:

A = 4.4

B = 4.28

C = -4.5

D = 4.6

The area of a 2D form is the amount of space within its perimeter.  The area of the rectangular field is 9,219.07 m².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

At the end of the rectangular field, two semi-circles are used whose diameter is 62 meters, therefore, the radius of the circle is 31 meters(half of the diameter). The area of the semicircle can be written as,

[tex]\text{Area of 2 semicircles} = 2 \times \dfrac{\pi r^2}{2} = \pi r^2[/tex]

Area of 2 semicircles =  π(r²) =π × (31²) = 3,019.07 m²

The area of the rectangle is the product of its length and its breadth. Therefore, the area of the rectangle will be,

Area of the rectangle = 100 × 62 =6,200 m²

Now, the area of the rectangular field is the sum of the area of the 2 semi-circles and the rectangle.

Area of the rectangular field= Area of the rectangle + Area of the Semi-circle

Area of the figure= 3,019.07 + 6200 = 9,219.07 m²

Hence, the area of the rectangular field is 9,219.07 m².

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Answer:

x=5,z=4.5

Step-by-step explanation:

Given the angles are right angle i.e. 90°

90-9x = 90 - 10z

9x = 10z =45°(because diagonals bisects angles)

x=45/9

=5

z=45/10

=4.5

Answer:

This graph represent a odd function since it has an odd number of degrees  while the others have like 4

f(-x) = -f(x)

Step-by-step explanation:

Sum of 64 and 17 = 44 + 17 = 81

Differences of 56 and 39 = 56 - 59 = 17

The product of the sum of 64 and 17 and the difference of 56 and 39 = 81 × 17 = 1377...

hope it helped !!!

Answer:

  1/6x -1

Step-by-step explanation:

"Simplify" generally means, "eliminate parentheses and combine like terms." In general, parentheses are eliminated by making use of the distributive property.

__

  [tex]\dfrac{2}{3}x-\left(\dfrac{1}{2}x+1\right)=\dfrac{2}{3}x-\dfrac{1}{2}x-1=\left(\dfrac{2}{3}-\dfrac{1}{2}\right)x-1\\\\=\left(\dfrac{4}{6}-\dfrac{3}{6}\right)x-1=\boxed{\dfrac{1}{6}x-1}[/tex]

Answer:

This is an Application of Boyle's Law.

Step-by-step explanation:

The relationship between the Pressure and Volume have been made available and is given as ;

P =k/v

Simply making k(constant) subject...

K =PV (With this, we can conclude that :

P₁V₁ = P₂V₂

150 x 4 = P₂ x 3

P₂ = 150 x 4/(3)

P =200kPa

Now, This is all math.

But what really happened?

Pay attention.

The relationship between Pressure and Volume according to Robert Boyle in his Law, as stated in the question is P = k/v

This is an inverse relationship.

simply interpreted, It reads " When pressure increases by a certain factor, Volume decreases by that factor". This is the concept behind inverse relationships.

So from the question, Volume decreased from 4ML to 3L.

Initial Pressure was 150kPa.

According to Boyle, Pressure has to increase by 4/3

Therefore, New pressure is undoubtedly 150 x 4/3 = 200kPa

Have a splendid day.

If the volume and height of the cylinder are 48.2304 cubic m and 6.4. Then the radius of the cylinder will be 1.55 m.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

The volume of the cylinder is 48.2304 cubic m.

And the height of the cylinder is 6.4 m.

Then the radius of the cylinder will be

The volume of the cylinder is given as

Volume = πr²h

48.2304 = π × r² × 6.4

          r² = 2.3988

           r = 1.5488

           r ≅ 1.55 m

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Answer: Select 2 because its 2 times the volume of cone

Step-by-step explanation:

Due to the higher proportion of customers driving less than 5 miles, it would be a likely event at store X.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For each store, the proportion of customers driving less than 5 miles is given by:

Hence, due to the higher proportion of customers driving less than 5 miles, it would be a likely event at store X.

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Answer:

72

Step-by-step explanation:

17+1=18

18+4=22

22+9=31

31+16=47

Check the picture below.

Answer:

6000000

Step-by-step explanation:

3(106)+3(106)

=(3)(1000000)+3(106)

=3000000+3(106)

=3000000+(3)(1000000)

=3000000+3000000

=6000000