1. 3, 12, 48,_,_,_
Find the missing terms in each geometric sequence

9514 1404 393

Answer:

  C)  √3

Step-by-step explanation:

The repeating decimals are both single digits, beginning at the decimal point. So, their equivalent is that digit divided by 9:

  [tex]0.\overline{4}=\dfrac{4}{9}\\\\0.\overline{9}=\dfrac{9}{9}=1[/tex]

This means the given expression can be simplified to ...

  [tex]\dfrac{3\sqrt{0.\overline{4}}+\sqrt{0.\overline{9}}}{\sqrt{3}}=\dfrac{3\sqrt{\dfrac{4}{9}}+\sqrt{\dfrac{9}{9}}}{\sqrt{3}}=\dfrac{3\cdot\dfrac{2}{3}+1}{\sqrt{3}}=\dfrac{3}{\sqrt{3}}=\boxed{\sqrt{3}}[/tex]

Answer:

Each box weighs 0.18 kilogram.

Step-by-step explanation:

We can do proportions to solve.

[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Corresponding sides are proportional, so the ratios of bottom to left side are the same. The left side of the large triangle is 6+4=10.

  x/10 = 9/6

  x = 10(9/6) . . . . multiply by 10

  x = 15

Answer:

Number of Years to Double= 10.62 years

Step-by-step explanation:

First, we need to calculate the real annual interest rate:

Real annual interest rate= {[(i/12)+1]^12} - 1

Real annual interest rate=  [{(0.064/12) + 1]^12 - 1}

Real annual interest rate= 0.0659

Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.

Number of Years to Double= 70/Annual Rate of Return

Number of Years to Double= 70/6.59

Number of Years to Double= 10.62 years

Answer:

Miami gets 6.12 inches more rainfall.

Step-by-step explanation:

Given that the average rainfall (in inches) in Miami for 5 months are 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,

So, the total rainfall in Miami in 5 months,

R_M = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches

and the average rainfall (in inches) in Tampa for 5 months are 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.

The total rainfall in Tampa in 5 months,

R_T = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.

The difference between the total rainfall in Miami and Tampa is 25.02-18.9= 6.12 inches.

The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.

Therefore, Miami gets 6.12 inches more rainfall during the same time period.

Answer:

81 cm

Step-by-step explanation:

Length of a room = 12m 15cm

Width of a room = 8 m 91 cm

12 m 15 cm = 1200 cm + 15 cm = 1215 cm

8 m 91 cm = 800 cm + 91 cm = 891 cm

The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.

To find it we can find the HCF of 1215 cm and 891 cm.

Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5

Prime factorization of 891 = 3 x 3 x 3 x 3 x 11

HCF = 3 x 3 x 3 x 3

= 81

Hence, the length of the largest tile that can be used is 81 cm.

Answer:

x  y

-4  -18

-2  -10

0  -2

2   6

4   14

Step-by-step explanation:

no, -6+2= -4

not -6 +(-2)

Answer and Step-by-step explanation:

[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]

This is the answer.

In case your expression is:

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]

Add similar elements: x²+x² = 2x²

                                  [tex]=2x^2-xy-xy[/tex]

Add similar elements: -xy-xy = -2xy

                                    [tex]=2x^2-2xy[/tex]

Thus,

[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]

In case your expression is:

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Solution:

Given the expression

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]

Group like terms

[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]

Add similar elements: -xy-xy = -2xy

                                       [tex]=x^2-2xy+\left(xx\right)^2[/tex]

as (xx)² = x⁴

so                                      [tex]=x^2-2xy+x^4[/tex]

Therefore, we conclude that:

Answer:

209.95

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the answer to this question is 1, you need to multiply all sides together to get the volume (5/4)(4/3)(3/5) is one

hopefully this is right

Answer:

y=3/2x+3

Step-by-step explanation:

Answer:

y=3/2x+3

Step-by-step explanation:

Answer:

It is 4x + 12

Step-by-step explanation:

The slope of the line is -4/3.

Step-by-step explanation:

4/3 = -6e - 5/3

6e = -4/3 - 5/3

6e = -9/3 = -3

e = -0.5

Answer:

The equation is always false

Step-by-step explanation:

Answer:

(-1,3)

Step-by-step explanation:

Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).

The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.

The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.

As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.

The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).

Hence, the vertex of point B' is (-1,3).

Answer:

c=3

Step-by-step explanation:

Answer:

B. Baseball cap

Step-by-step explanation:

Given that:

Total money available with Annabeth = $29.00

Amount at which T-shirt was bought = $15.32

Things that Annabeth wants to buy:

Soccer ball for the price of $12.87 or

Baseball cap for the price of $8.39 or

Set of shin guards for the price of $14.98 or

Water bottle for the price of $5.93

The equation that can be used to find the cost of most expensive item with the remaining amount of money:

$15.32 + [tex]c[/tex] = $29.00

[tex]\Rightarrow c = 29 - 15.32\\\Rightarrow c= \$13.68[/tex]

Cost of items that can be bought in the decreasing order is:

Cost of pair of shin guards ( $14.98 ) > Cost of soccer ball ( $12.87 ) > Cost of baseball cap ($8.39) > Cost of water bottle ( $5.93 )

The most expensive item that can be bought is the Soccer ball at $12.87.

Answer is:

B. Soccer ball

Cost of shin guards is more than the amount of money remaining.

Answer:

C) 119.7°

Step-by-step explanation:

got it right on edge :)

Domain: possible x values

Between -10 and 6

Solution: -10 < x < 6

Answer:

hey your really cute thats all

Step-by-step explanation:

;) love you bubs see you someday, now

Answer:

1.5% x 412 = 618?

Step-by-step explanation:

Answer:

103/50

Step-by-step explanation:

Simplify

1/2

100

(412)

Answer:

the computer will cost 864.5

Step-by-step explanation:

15% of 950 is 142.5.

950-142.5=807.5

6% of 950 is 57

Answer:

$855.95

Step-by-step explanation:

So We can first multiply the original price by 0.85 becuase its 15 percent off and we’re paying 85 percent of the original price basically.

You’ll get 807.50.

Now to find the sales tax we multiply that by 1.06 becuase the 100 percent is the price now and we’re just adding 6 percent so 1.06, and you’ll get 855.95

So no adding and subtracting and that takes off 2 steps and its way quicker

So the final answer is $855.95

Answer:

4

Step-by-step explanation:

Answer

slight

Step-by-step explanation:

But Never zero