At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the gym costs $22. After how many months will the cost of both gyms be the same?

Answer:

C

Step-by-step explanation:

Using the rule of radicals/ exponents

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

Given

[tex]5^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{5}[/tex] → C

Answer:

They are congruent because angle 1 &3 are alternate interior angles.

Step-by-step explanation:

Answer:

The estimated answer would be 9

Step-by-step explanation:

The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.

Answer:

Step-by-step explanation:

The nth term of an arithmetic sequence is expressed as [tex]Tn = a+(n-1)d[/tex].

a is the first term of the sequence

d is the common difference

n is the number of terms

Given the first term a = 4 and common difference d = 3, we can calculate the first five terms of the sequence using the formula.

If n = 2

[tex]T_2 = 4+(2-1)*3\\T_2 = 4+(1)*3\\T_2 = 4+3\\T_2 = 7\\\\when \ n = 3;\\T_3 = 4+(3-1)*3\\T_3 = 4+(2)*3\\T_3 = 4+6\\T_3 = 10\\\\when\ n = 4\\T_4 = 4+(4-1)*3\\T_4 = 4+(3)*3\\T_4 = 4+9\\T_4 = 13\\\\when\ n = 5\\T_5 = 4+(5-1)*3\\T_5 = 4+(4)*3\\T_5 = 4+12\\T_5 = 16\\[/tex]

The first five terms of the sequence from lowest to highest are 4, 7, 10, 13 and 16

Answer:

$153

Step-by-step explanation:

To find the total cost, we have to calculate the area of one bead, then all of them:

Area of one bead = pi x r^2 = 3.14 x 0.5^2 = 3.14 x 0.25 = 0.765cm^2

Area of 20 beads = 0.765 x 20 = 15.3cm^2

Now, we are able to calculate the ultimate cost of coating:

If the cost is $10 per cm^2, then we have to find how much it costs to coat 15.3 cm^2.

15.3 x 10 = $153.

Hope this helps

Answer:

1) Distributive Property of Multiplication (The terms are distributed)

2) Addition property of equality (Adding 14 to both sides)

3) Simplifying (We simplified the expression)

4) Division property of equality (Dividing both sides by 6)

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

- 14 + 6m = 10

Distributive Property of Multiplication

2 is distributed to -7 and 3m

- 14 + 14 + 6m = 10 + 14

Addition Property of Equality

Adding 14 to both sides.

6m = 24

Simplifying

Simplifying the equation.

[tex]\displaystyle \frac{6m}{6} =\frac{24}{6}[/tex]

Division Property of Equality

Dividing both sides by 6.

Answer:

9x + 8.

Step-by-step explanation:

2(x - 3) + 7(x + 2)

= 2x - 6 + 7x + 14

= 2x + 7x - 6 + 14

= 9x + 8.

Hope this helps!

Answer:

30 cubes are added

Step-by-step explanation:

The image of the solid shape is attached.

From the Plan, Side elevation and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks is needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.

The number of blocks needed to make the cuboid = 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added = 48 cubes - 18 cubes = 30 cubes.

30 cubes are added

The number of cubes that are added is 30.

What is Cube?

A cube's form is occasionally referred to as "cubic." Another way to put it is that a block with uniform length, width, and height is regarded to be a cube. It also contains 12 edges and 8 vertices, with 3 of the edges coming together at a single vertex point. Examine the illustration below, identifying the faces, edges, and vertices. It is also referred to as a right rhombohedron, an equilateral cuboid, and a square parallelepiped. One of the platonic solids, the cube is a convex polyhedron with all of its faces being square. The cube has either cubical symmetry or octahedral symmetry. The square prism is a specific instance of a cube.

From the Plan, Side elevation, and Front elevation, the number of cubes needed to make the shape is 18 blocks. From the front elevation, 12 blocks are needed (4 * 3 blocks) while from the side elevation 6 blocks are needed given a total of 18 blocks.

The number of blocks needed to make the cuboid

= 4 * 4 * 3 = 48 cm cubes.

Therefore the number of cubes to be added

= 48 cubes - 18 cubes

= 30 cubes.

30 cubes are added.

Hence, The number of cubes that are added is 30.

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Answer:

459/99

Step-by-step explanation:

0.6363... is equal to 63/99.

We want to add 4.

4 = 396/99

396/99 + 63/99 = 459/99

We can double check with a calc.

Answer:

(D)  [tex]\dfrac{27}{16}[/tex]

Step-by-step explanation:

Volume of a Cylinder =[tex]\pi r^2h[/tex]

Cylinder A

Height = 3 Units

Radius = 3 Units

[tex]Volume =\pi \times 3^2 \times 3 =27\pi$ cubic units[/tex]

Cylinder B

Height = 4 Units

Radius = 2 Units

[tex]Volume =\pi \times 2^2 \times 4 =16\pi$ cubic units[/tex]

[tex]\dfrac{\text{Volume of Cylinder A}}{\text{Volume of cylinder B}}=\dfrac{27\pi}{16\pi}\\\\=\dfrac{27}{16}[/tex]

The correct option is D

Answer:

c. Corriente eléctrica.

Step-by-step explanation:

Cuando un campo magnético cambia en intensidad y alrededor de esa región se encuentra un conductor eléctrico, tal cambio en la intensidad induce una corriente eléctrica en ese conductor. Ese es el principio de los generadores de corriente o generadores eléctricos.  

Este principio es conocido como la Ley de Faraday de Inducción Electromagnética, estudiada por Michael Faraday (1791-1867) y es parte fundamental de la Teoría Electromagnética.

En líneas generales, este principio de Faraday y el hecho de que la variación de un campo eléctrico genere un campo magnético, principio descubierto por Hans Christian Oersted (1777-1851), y que sostiene que la variación de la corriente eléctrica en un conductor genere alrededor de éste un campo magnético (principio de los electroimanes), son complementarios y podría decirse que son los pilares de la Teoría Clásica del Electromagnetismo, cuyas leyes están descritas matemáticamente en las ecuaciones de Maxwell, llamadas así por James Clerk Maxwell (1831-1879), quien se basó principalmente en los resultados de Faraday para formularlas.

Answer:

32

Step-by-step explanation:

tanx=opp/adj.=40/64=5/8=0.625

find tan^-1= 32 degrees

Answer:

A. 32°

Step-by-step explanation:

[tex] \tan \: x \degree = \frac{40}{64} \\ \\ \tan \: x \degree = \frac{5}{8} \\ \\ \tan \: x \degree =0.625 \\ x \degree = {\tan}^{ - 1}( 0.625) \\ \\ x \degree =32.005383208 \degree \\ \\ \huge \red { \boxed{ x =32 \degree}}[/tex]

Answer:

4=x

Step-by-step explanation:

1.5(x + 4) – 3 = 4.5(x – 2)   distribute

1.5x+6-3 = 4.5x-9                   subtract 1.5x from each side

3=3x-9                                 add 9 to both sides

12=3x                                    divide by on both sides

4=x                                        simplify

Answer:

x=4

Step-by-step explanation

Answer:

(1, 0) and (3, 0)

Step-by-step explanation:

y=2x²-8x+6

x- intercept when y=0

Answer:

(1, 0) / (3, 0)

Step-by-step explanation:

Answer: C

Step-by-step explanation:

i just took a test

Answer:Answer:

x + y = 10

6x + 8y = 72

Step-by-step explanation:

Number of packages = 10

Total batteries = 72

For AA:

batteries per package = 6

Let number of packages = x

For AAA:

batteries per package = 8

Let number of packages = y

Number of AA packages + number of AAA packages = 10

Sum of AA + sum of AAA equals 72 batteries

x + y = 10

6x + 8y = 72

Step-by-step explanation:

Answer:

Area of a circle is πr²

where r is the radius

r = 7.29m

Area = π × 7.29²

= 166.957

= 166.96m² to 2 decimal places

Hope this helps you

Answer:

B

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

25% of 64 were votes in favor.

25% × 64

1/4 × 64 = 64/4 = 16

16 votes were in favor.

Answer:

276

Step-by-step explanation:

∆y = 2y3

∆2 = 2(2)3 = 16

∆5 = 2(5)3 = 250

∆2 + ∆5 = 250 + 16 = 276

Answer:

53.96

Step-by-step explanation:

21.5 times 2.51 is 53.965

53.965 to 2 decimal points is 53.96

Answer:

(-6, 0) and (2, 0)

Step-by-step explanation:

To find the x-intercepts, we can factor the expression:

f(x) = x² + 4x - 12

2 factors of -12 that add up to 4 are 6 and -2

(x + 6)(x - 2)

Set each factor equal to 0 and solve for x:

x + 6 = 0

x = -6

x - 2 = 0

x = 2

So, the x intercepts are (-6, 0) and (2, 0)

Answer:

It's the first option, (-6, 0) (2, 0)

Step-by-step explanation:

100% on Edge

Answer:

The answer is "Option A"

Step-by-step explanation:

Given:

[tex]\to \frac{(a-5)+a}{2}=x.....(a)\\\\\to \frac{a+(a+9)}{2}=y.....(b)\\\\[/tex]

solve the above equation:

[tex]\to \bold{\frac{(a-5)+a}{2}=x}\\\\\to \frac{a-5+a}{2}=x\\\\\to \frac{2a-5}{2}=x\\\\\to \bold{\frac{a+(a+9)}{2}=y}\\\\\to \frac{a+a+9}{2}=y\\\\\to \frac{2a+9}{2}=y\\\\[/tex]

add both value (x and y):

[tex]\to \bold{x+y}\\\\\to \frac{2a-5}{2}+\frac{2a+9}{2}\\\\\to \frac{2a-5+2a+9}{2}\\\\\to \frac{4a+4}{2}\\\\\to \frac{2(2a+2)}{2}\\\\\to (2a+2)\\[/tex]

average of x and y:

[tex]\to \frac{x+y}{2}\\\\\therefore \bold{x+y= 2a+2}\\\\\to \frac{2(a+1)}{2}\\\\\to \boxed{(a+1)}\\[/tex]

Answer:

A=6

B=41

c=42

Step-by-step explanation:

Answer:

x=30degrees

Step-by-step explanation:

the diagram, if drawn comes as a square. when divided to two triangles, both of them have one right angle each. if the hypotenuse is thirty d on one side, the opposite angle has to be 60d . since the total of all angles is 180d and one side is 90d and the other 60d, the other angle must me 30d

The length of Hypotenuse is 3√2 unit.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Angle= 45 degrees

Hypotenuse = x

Using Trigonometry in Triangle 1

sin 30 = P/ 6

1/2 = P/6

P= 3 unit

Now, In triangle 2

cos 45 = 3/H

1/√2 = 3 / H

H= 3√2 unit

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Answer:

The answer is below

Step-by-step explanation:

From the diagram attached, to find the length of side AB, we need to use Pythagoras theorem on the right triangles. We can see that AB is the base of the two right triangle.

For the first right triangle with hypotenuse of 13 and height of 12, let x be the base, therefore using hypotenuse:

13² = 12² + x²

169 = 144 + x²

x² = 169 - 144

x² = 25

x = √25 = 5

For the second right triangle with hypotenuse of 15 and height of 12, let y be the base, therefore using hypotenuse:

15² = 12² + y²

225 = 144 + y²

y² = 225 - 144

y² = 81

y = √81 = 9

The length of AB = x + y = 9 + 5 = 14 unit

Since for a square all the sides are equal, therefore the length of each side of the square ABCD is 14 units.

In triangle ADC, the hypotenuse = AC, AD = DC = 14 unit. Using Pythagoras:

AC² = AD² + DC²

AC² = 14² + 14²

AC² = 196 + 196 = 392

AC = √392 = 19.8

The length of its diagonal is about 19.8 units

Answer:

x = a(c + b)

Step-by-step explanation:

Step 1: Add b to both sides

x/a = c + b

Step 2: Multiply both sides by a

x = a(c + b)

Answer:

the value of n will be the range

Step-by-step explanation:

lets just give an example of (9,n) and you had to find the value its actually simple

9 is the domain

n is the range

a part of ordered pair function

got it?

Answer:

a. They both have strong positive correlation.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just took the test and did calculations. 100% correct

Answer:

287 miles

Step-by-step explanation:

The base fee was $17.99 and an additional 76 cents ($0.76) for every mile.

We can represent the amount he will pay for rent with the equation below:

C = 17.99 + 0.76m

where m = number of miles driven

Jim paid $236.11, therefore:

236.11 = 17.99 + 0.76m

0.76m = 236.11 - 17.99

0.76m =218.12

m = 218.12 / 0.76 = 287 miles

Jim drove 287 miles.

Answer:

[tex] F(x) = |x|[/tex]

And we need to apply some transformations. The first part is hift 8 units left. And we need to do this:

[tex] F(x) = |x+8|[/tex]

Then we need to apply the second transformation Shift 3 units down. and we can do this:

[tex] F(x) = |x+8|-3[/tex]

Step-by-step explanation:

For this case we have the following function given:

[tex] F(x) = |x|[/tex]

And we need to apply some transformations. The first part is hift 8 units left. And we need to do this:

[tex] F(x) = |x+8|[/tex]

Then we need to apply the second transformation Shift 3 units down. and we can do this:

[tex] F(x) = |x+8|-3[/tex]