Mrs.Vega brought a new aquarium for her turtles. How much space will the turtles have in the aquarium if the length is 5.2 ft, the width is 1.8 ft and the height is 2 ft?

Answer:

Step-by-step explanation:

Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.

The numbers are written as a product:

a * 10ⁿ

where:

Comparing what is equal to these two numbers when they are written in scientific notation you can see that the value of a is such that 1 ≤ a <10

Comparing what is different from these two numbers when they are written in scientific notation, you can see that the value of the exponent n in both numbers is different, one being positive, indicating that it is a very large number, and the other negative, indicating that it is It is a very small number that is between 0 and 1.

Answer: $14.25

Step-by-step explanation:

Plug in 20 for x.

(0.05)(20) + 13.25 = 14.25

Answer:  $14.25

Step-by-step explanation:

just input 20 miles into the equation and solve for the rental cost

c(x) = 0.05x + 13.25  

c(20) = 0.05(20) + 13.25

c(20)=  1 + 13.25

c(20) = 14.25

Answer:

1440 people

Step-by-step explanation:

If we have 45 people per square kilometer, and we have 32 square kilometers, we can imagine it as a little “table.”

There are 32 boxes, and inside each of those 32 boxes, there are 45 little dots.

This is multiplication, so we can just multiply 32 and 45.

[tex]32\cdot45=1440[/tex]

Hope this helped!

Answer:

Length of the rectangular board=9 foot

Step-by-step explanation:

Width of the rectangular board=1/3 foot

Length of the rectangular board=x

Area of the rectangular board=3 square feet

Area of a rectangular board =Length × Width

3=x * 1/3

3=1/3x

Divide both sides by 1/3

3÷1/3=x

3*3/1 = x

9=x

x=9 feet

Therefore,

Length of the rectangular board= x = 9 foot

Answer:

Hey there!

The numbers in this set are: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.

We see that there are 13 numbers in this set.

Let me know if this helps :)

Hello!

Answer:

13 sets

Step-by-step explanation:

So you just have to count the numbers! :)

{3,4,5,6,7,8,9,10,11,12,13,14,15}

If you count the numbers, you will see there are 13 numbers.

**THE WHOLE NUMBERS BETWEEN 3 & 15 IS: 3,4,5,6,7,8,9,10,11,12,13,14,15!**

Therefore, there is 13 sets because if you count the numbers “3,4,5,6,7,8,9,10,11,12,13,14,15” you can see that there will be 13 numbers.

So the answer has to be 13 sets!

Hope this helps!

~Have a wonderful day!~

By,Cherry

Answer:

Step-by-step explanation:

Weight of baby goat = Weight of Jared with goat - Weight of Jared

                                  = 58.9 - 56.2

                                  =  2.7 Kg

Answer:

Option (B) : 7 / 20

Step-by-step explanation:

[tex]P(A∩B)=P(B) \times P(A|B)[/tex]

[tex]P(A|B) = \frac{P(A∩B)}{P(B)} = \frac{7}{40} \times \frac{2}{1} = \frac{7}{20} [/tex]

Answer:

30 min

Step-by-step explanation:

The tank can be filled in 15 min, this means that in one min, 1/15 of the tank can be filled.

The tank can be emptied in 10 min, this means that in one min, 1/10 of the tank can be emptied.

the outflow rate - the inflow rate = rate of emptying the tank

1/10 - 1/15 = 1/x

where x is the time it will take to empty the tank

solving, we'll have

1/30 = 1/x

the reciprocal of the equation gives

x = 30 min

Step-by-step explanation:

First one..

move the green dot one step to the left

Interactive table

U is under the operation a-b

where a = -1 and b = -2

U = -1 - (-2)

U = -1 + 2

U = 1

V is under the operation a-b

where a = -4 and b = 1

V = -4 -1

V = -5

Answer:

(5.23x + 3.76) − (3.67x − 6.39) is ( . )

Step-by-step explanation:

Yes

Answer:

1.56x + 10.15

Step-by-step explanation:

(5.23x + 3.76) – (3.67x – 6.39)

(a + b) – (c – d) = a + b – c + d

Remove the parentheses and change the signs as needed:

5.23x + 3.76 – 3.67x + 6.39.

Group the like terms and simplify:

5.23x – 3.67x + 3.76 + 6.39

1.56x +10.15.

The simplified form of (5.23x + 3.76) – (3.67x – 6.39) is 1.56x + 10.15.

Answer:

7²-3+9x8÷2

Step-by-step explanation:

you need to answer urself

Answer:

Step-by-step explanation:

7²-3+9x(8÷2)

=49 - 3 + (9 x 4)

=49 - 3 + 36

=82

[tex]hope \: this \: helps[/tex]

Answer:

8×2=16 pellets the rabbit's receives 16 pellets

Step-by-step explanation:

Answer:

The given question is incomplete.

The set of numbers should be : -11, -5/6, 0, 0.75, [tex]$\sqrt5$[/tex], [tex]$\pi$[/tex], [tex]$\sqrt{64}$[/tex],

Step-by-step explanation:

a). Natural numbers : Natural numbers starts form 1  up to positive infinity. They are non negative integers.

The numbers are : [tex]$\sqrt{64}$[/tex]

b). Whole numbers : Whole numbers are numbers which starts from 0 to positive infinity.

The numbers are : 0, [tex]$\sqrt{64}$[/tex]

c). Integers : Integers are both positive and negative numbers including 0. But they are not fractional numbers.

The numbers are : -11, 0, [tex]$\sqrt{64}$[/tex]

d). Rational numbers : The rational numbers are the whole numbers or may be fractions which are represented by divisions of any two integers, in the form of m/n.

The numbers are : -11, -5/6, 0, 0.75, [tex]$\sqrt{64}$[/tex]

e). Irrational numbers: Irrational numbers are those numbers numbers which cannot be written in a fraction form. They are not rational numbers

The numbers are : [tex]$\sqrt5, \pi$[/tex]

f). Real numbers : Real numbers are those numbers which do not have any imaginary component in it.

The numbers are : -11, -5/6, 0, 0.75, [tex]$\sqrt5$[/tex], [tex]$\pi$[/tex], [tex]$\sqrt{64}$[/tex],

Answer:

Step-by-step explanation:

B

Answer:

(x+1)(x+1)^2

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{(x+1)^3}[/tex]

Step-by-step explanation:

x³ + 3x² + 3x + 1

Apply cube of sum rule :

      ⇒ a³ + 3a²b + 3ab² + b³ = (a + b)³

(x)³ + 3(x)²(1) + 3(x)(1)² + (1)³

 ⇒ a = x

 ⇒ b = 1

(x + 1)³

Answer:

-4

Step-by-step explanation:

Subtract 1 - 5 = -4...

Since 1 is less than 5, we know that the difference is negative, so we can rewrite this expression as -(5-1).

5 - 1 = 4, so - (5-1) = -4.

Answer:

1-(5) is 1-5 = -4

Step-by-step explanation:

one subtracted by 5 will offer an negative number, -4.

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

[tex]ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\<=> \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }[/tex]

Thank you

Answer:

-1/21

Step-by-step explanation:

2/7 - 1/3

The common denominator is 21

2/7 * 3/3 - 1/3 *7/7

6/21 - 7/21

-1/21

Answer:

[tex]3^{\frac{1}{6} }[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

Evaluating the parenthesis, gives

[tex]\frac{3^{\frac{3}{4} } }{3^{\frac{3}{8} } }[/tex] = [tex]3^{\frac{3}{4}-\frac{3}{8} }[/tex] = [tex]3^{\frac{3}{8} }[/tex] , then

[tex](3^{\frac{3}{8})^{\frac{4}{9} } }[/tex] → [tex]\frac{3}{8}[/tex] × [tex]\frac{4}{9}[/tex] = [tex]\frac{1}{6}[/tex]

= [tex]3^{\frac{1}{6} }[/tex] with x = [tex]\frac{1}{6}[/tex]

Answer:

5/8 is greater than 7/12

Step-by-step explanation:

5/8 is greater than 7/12

we need to make the denominators the same in order to solve the inequality

so, the easiest solution would be to multiply both denominators by each other, then doing that to the numerator ....

5 x 12 = 60        7 x 8 = 56

8 x 12 = 96        12 x 8 = 96

here we have our new fractions ---

[tex]\frac{60}{96}[/tex] which was originally [tex]\frac{5}{12}[/tex]

[tex]\frac{56}{96}[/tex] which was originally [tex]\frac{7}{12}[/tex]

now that we have the denominators the same... we can clearly see that

[tex]\frac{60}{96}[/tex] is greater than [tex]\frac{56}{96}[/tex]

therefore 5/8 is greater than 7/12

Answer:

Step-by-step explanation:

Hint:  1- 2sin²x = Cos 2x

LHS = 1 - 2Sin² (π/4 - Ф/2)

        =  Cos 2 *(π/4 - Ф/2)

        = Cos 2*π/4 - 2*Ф/2

         = Cos π/2 - Ф

         = Sin Ф =  RHS

Answer:

RHS=sinA

Step-by-step explanation:

LHS=1-2sin^2(45-A/2)

=cos2(45-A/2)

=cos(90-A)

=sinA proved.

Answer:

a) 10

b) 9.8

Step-by-step explanation:

First, round it the nearest whole number:

9.7814 will round up to 10, since the decimal place .7 is larger than .5

Next, round to one decimal place:

9.7814 will round to 9.8, since the 0.08 will round the 0.7 up to 0.8

a) 10

b) 9.8

-3x-3 is the answer because you need to multiple-3 into x and one

Answer:

AD=23 because it is the same length as the top line. 12+4 is 16 and 23-16=7. X=7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

A ( - 1 , - 3 )⇒( x₁ , y₁ )

B ( 11 , 8 )⇒( x₂ , y₂ )

Using distance formula to find the length of AB

[tex] \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]

plug the values

⇒[tex] \sf{ \sqrt{ {(11 - ( - 1))}^{2} + {( 8 - ( - 3))}^{2} } }[/tex]

We know that [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

⇒[tex] \sf{ \sqrt{ {(11 + 1)}^{2} + {(8 + 3)}^{2} } }[/tex]

Add the numbers

⇒[tex] \sf{ \sqrt{ {12}^{2} + {11}^{2} } }[/tex]

Evaluate the power

⇒[tex] \sf{ \sqrt{144 + 121} }[/tex]

Add the numbers and calculate

⇒[tex] \sf{\sqrt{265} }[/tex]

⇒[tex] \sf{16.27}[/tex] units

Hope I helped!

Best regards!!

1 minute = 60 seconds

2 minutes = 60 x 2 = 120 seconds

Fraction = 6/120 reduces to 1/20

The answer is 1/20

Answer:

1/20

Step-by-step explanation:

just simplify 6/120

Answer:

Convert fraction (ratio) 7 / 10 Answer: 70%

Answer:

70%

Step-by-step explanation:

To find percentage = fraction * 100

                                = 7/10 * 100

                                = 0.7 * 100

                                = 70%

Answer:

Amount

Rs 6345.30

Compound interest

Rs 1,345.30

Step-by-step explanation:

Here in this question, we are interested in calculating the amount and the compound interest on the value given.

To calculate the amount, we use the formula below;

A = P(1 + r/n)^nt

Where; A is the amount which we want to calculate

P is the principal which is Rs 5,000

r is the interest rate per annum = 10% = 10/100 = 0.1

n is the number of times per year in which it is compounded ( since it is annually, then it is 1)

t is the number of years which is 2.5 years( kindly know that 6 months is same 1/2 year , so 6 months is same as 0.5, and thus 2 years 6 months becomes 2.5 years)

now let’s substitute all these values;

A = 5000(1 + 0.1/1)^(1*2.5)

A = 5000(1 + 0.1)^2.5

A = 5000(1.1)^2.5

A = 6,345.2935314294

This is approximately Rs 6,345.30

The second part of the question asks to calculate compound interest

Mathematically ;compound interest = Amount - principal

= 6345.3 - 5000 = Rs 1,345.30