if 12^-x=5, what does 12^2x equal

Answer:

the answer is D

Step-by-step explanation:

i did it on EDG

Answer:

2. 30 ft

3. 50 ft.

Step-by-step explanation:

2. The contour map of a place is shown in the diagram.  

The point E is placed near to the 30 ft contour line.

Therefore, the elevation of the point E on the map is 30 ft. (Answer)

3. From the same contour map shown in the diagram, it is clear that,  

The point F is placed near to the 50 ft contour line.

Therefore, the elevation of the point F on the map is 50 ft. (Answer)

Answer:

The amount of money in Victoria's account at the end of n-th year will be,

$ [tex] (965 \times (1.02)^{(n -1)} - 765)[/tex]

Step-by-step explanation:

The amount of money in Victoria's account at the end of n-th year will be,

$ [tex](200\times (1.02)^{(n-1)} + 15 \times ((1.02)^{(n-1)} + (1.02)^{(n -2)} + (1.02)^{(n-3)} + ........ + (1.02)))[/tex]

= $ [tex](200 \times (1.02)^{(n -1)} + 15 \times \frac{1.02 \times ((1.02)^{(n-1)} - 1)}{0.02})[/tex]

= $ [tex](200 \times (1.02)^{(n -1)} + 15 \times 51 \times ((1.02)^{(n-1)} - 1))[/tex]

= $ [tex] (965 \times (1.02)^{(n -1)} - 765)[/tex]

Since, the interest is compounded over that $ 200 (which was there in the account at the end of 1st year) for (n-1) years and for (n-1) years, (n-2) years, (n -3) years, ...... 1 year respectively over those $ 15 which are deposited in the account at the end of 1 , 2, 3, ...... (n-1) years.

Answer:

[tex]a_{n}=\left [ a\left ( n-1 \right )+15 \right ]*1.02\\[/tex]

Step-by-step explanation:

1) A Recursive formula always makes reference to the previous term, written as a function.

2) From $200 to $215 there was a 7.5% growth, so since the question states that from the beginning of the second year there will be a regular growth.

3) Since it is 2% of interest compounded annually q=1+ 0.02.

[tex]A=215(1+\frac{0.02}{1})^{1}\\A=219.3[/tex]

Or simply

215*1.02=219.3

4) We can write a Recursive formula this way:

[tex]a(n)=215[/tex]

[tex]a(n)=a(n-1)(1.02)[/tex]

5) But since we have a pattern, She will deposit $15 yearly then we must make a little adjustment then add $15. to that. Considering the first term to be 200

[tex]a_{n}=\left [ a\left ( n-1 \right )+15 \right ]*1.02\\a_{1}=200[/tex]

Answer:

1 hour and 30 minutes

Step-by-step explanation:

because it took an hour for 10 mile so add another five miles and it would take 30 minutes

Answer:

it would take you 1 hour and 30 mins

Step-by-step explanation:

it would be that because 1 hour is 60 mins and it takes you 60 mins to run 1 mile add half a mil and then it would be 1 hr 30

Answer:

The ordered pair

(−4, 0)

is a solution to the system because it makes both equations true.

The ordered pair

(−4, 0)

is a solution to the first equation because it makes the first equation true.

The ordered pair

(−4, 0)

is a solution to the second equation because it makes the second equation true.

Step-by-step explanation:

Answer:

Approximately 4, exactly 3.786 liters.

Step-by-step explanation:

128/33.8=3.786

There are approximately 3.8 litres in a gallon.

There are 33.8 fluid ounces in a litre. Therefore,

33.8 fluid ounces = 1 litre

128 fluid ounces = ? litre

cross multiply

amount = 128 / 33.8

amount = 3.78698224852

amount ≈ 3.8 litres

There are 128 fluid ounces in a gallon. Therefore,

128 fluid ounces = 1 gallon

Since, 128 fluid ounces = 3.8 litre

Therefore,

Approximately 3.8 litres are in a gallon

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Answer:

810

Step-by-step explanation:

-21 + d = 789

d = 789+21

d= 810

Answer:

1/6

Step-by-step explanation:

1/2*1/3

1*1/2*3

1/6

Answer:

1/6

Step-by-step explanation:

1/3*1/2 = 1/6

1/3 = 0.33333333  = 3/9 =1/3

1/6 = 0.1666666   = 15/90=1/6  

Answer:

14

Step-by-step explanation:

13.65 is rounded to 14

Answer:

14

Step-by-step explanation:

since your looking for the nearest whole number the first number behind the decimal is what determines if it goes to 14 or 13. because the number is 6 and is higher than 5 the number would be 14 but if the number was 4 than it would be 13. any number above 5 goes and 4 and below makes the number go down.

Answer:

Step-by-step explanation:

Its 56/8 or 7

The value of the number is 7 . There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

Two expressions joined by the equals symbol ("=") form an equation. [2] The "left hand side" and "right hand side" of the equation are the expressions on either side of the equals sign. The right side of an equation is frequently considered to be zero. Providing the generality is not diminished, this can be achieved by deducting the right-hand side from both sides.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Given ,

product =8

increased number =6

8(x+6)=104  

8x+48= 104

8x = 104 - 48 =56

x = 56/8

= 7

Therefore The value of the number is 7.

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Answer:

C

Step-by-step explanation:

Answer choice A and B are biased towards No answers because they point out flaws with the event. Choice D is not biased because it doesn't discuss good or bad aspects of the event.

As per the question the teenagers in Amanda's town like to watch the bowling event every new Friday night.

Hence the option C is correct.

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Answer:K=5D/f

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

joe mama

Step-by-step explanation:

joemama

Answer:

the different is 96 * 56

Step-by-step explanation:

for example

4555/69   ///////54

Answer: (x-2)•(4x+1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The aquarium can be made by 83 sq. ft. of glass.

Step-by-step explanation:

The public library aquarium is in the shape of a hollow cuboid.

The dimensions of the hollow cuboid are 6 ft by 2.5 ft. by 4 ft.

Now, the total surface area of the aquarium will be given by 2(LW + WH + HL)

Where, L = length = 6 ft, W = width = 2.5 ft and H = height = 4 ft.

If the top of the aquarium is open, then the total surface area will be

= 2(WH + HL) + LW

= 2(2.5 × 4 + 4 × 6) + 6 × 2.5

= 83 sq. ft.

Therefore, the aquarium can be made by 83 sq. ft. of glass. (Answer)

To calculate the square feet of glass used for the aquarium, we find the total surface area of the rectangular prism excluding the top. The total surface area is 83 square feet.

To find out how many square feet of glass were used to build the aquarium, we need to calculate the surface area of the rectangular prism minus the top since it is open.

The surface area of a rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

where l is the length, w is the width, and h is the height.

Given the dimensions of the aquarium:

First, we calculate the areas of the sides:

Total surface area excluding the top is:

Total Surface Area = 2lw + 2lh + 2wh - (length * width)

Total Surface Area = 30 + 48 + 20 - (6 * 2.5) = 98 - 15 = 83 square feet

So, 83 square feet of glass were used to build the aquarium.

Because of the answers that you gave I'm going to assume the radians were 3pi/4. That would be A, 135 degrees.

If this is the wrong amount of radians please let me know.

The radian measures of the given degree measures are 3π / 4 Rad, π Rad, 3π / 2 Rad and 2π

One radian is the measure of a central angle subtended by an arc that is equal in length to the radius of the circle. When no symbol is used, radians are assumed. When degrees are the unit of angular measure, the symbol "°" is written. Note that the radian is a derived unit in the International System of Units (SI).

Given are some degree measurements, 135° 180° 270° 360°, we need to convert them into radians.

Since, we know that,

1 Rad = 1 Deg × π / 180

Therefore,

1) 135° = 135 × π / 180

= 3π / 4 Rad

2) 180° = 180 × π / 180

= π Rad

3) 270° = 270 × π / 180

= 3π / 2 Rad

4) 360° = 360 × π / 180

= 2π

Hence, the radian measures are 3π / 4 Rad, π Rad, 3π / 2 Rad and 2π

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Answer:

see explanation

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence

8 - 6 = 10 - 8 = 2

This indicates that the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 6 and d = 2, thus

[tex]a_{n}[/tex] = 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula

Hence

[tex]a_{130}[/tex] = (2 × 130) + 4 = 260 + 4 = 264

Answer:

The largest number of identical cubes whose volumes are whole numbers  that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.

Step-by-step explanation:

Given that volume of larger cube is 1080[tex]cm^{3}[/tex]

To find number of smaller cube with volume as whole numbers can fit the larger cube:

Imagine Rubik's cube of 3x3 as larger volume and one piece of Rubik's cube is smaller cube. On one edge, three smaller cube with volume

In the same way,

Assuming one edge has 'x' number of cube with volume as whole numbers

Since, It is cube. Number of cube in other edges will be 'x' too

For smaller cube,

Take one side of smaller cube as x

Therefore, One side of larger cube will be nx

For cube,  length = height = breath =nx

The volume of larger cube : [tex](nx)^{3} =1080[/tex]

nx=10.2598cm

we need to find the "largest" number of cube( i.e n )

Therefore, Side x will be smallest and n will be largest.

For smallest value of x,

It is also said that " volumes are whole numbers "

smallest whole number is 1

Thus,

nx=10.2598cm

n=10.2598

n is also whole number so that n=10

The largest number of identical cubes whose volumes are whole numbers  that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.

Answer:

9/10

Step-by-step explanation:

Final answer:

The improper fraction [tex]\frac{19}{10}[/tex] is equal to the mixed number [tex]1\frac{9}{10}[/tex], where 1 is the whole number and [tex]\frac{9}{10}[/tex] is the proper fraction remainder after division.

Explanation:

The improper fraction [tex]\frac{19}{10}[/tex] can be converted into a mixed number by dividing the numerator by the denominator. The division [tex]\frac{19}{10}[/tex] equals 1 with a remainder of 9. Therefore, the mixed number is [tex]1\frac{9}{10}[/tex]. This illustrates that any improper fraction can be expressed as a combination of a whole number and a proper fraction, where the numerator is smaller than the denominator.

Answer:

A- Overall, students are less interested in reading magazines than comics.

Answer:

Option A

Step-by-step explanation:

Answer:

The present age of Michael is 33 years .

Step-by-step explanation:

Given as :

Michael is 17 years older than Brandon

And 17 years ago the age of Michael was 4 times as old as Brandon

Now,

Let the age of Michael = M years

And The age of Brandon = B years

So , According to question

M = B + 12                             .........A

And ( M - 17 ) = 4 × ( B - 17 )

Or, M - 17 = 4 B - 68

Or, 4 B - M = 68 - 17

or, 4 B - M = 51               ...........B

Solving Eq A and B

I.e 4 B - ( B + 12 )= 51

or, 4 B - B = 51 + 12

or, 3 B = 63

∴  B = [tex]\frac{63}{3}[/tex]

I.e B = 21 years

So, Now the age of Brandon = B = 21 years

Put the value of B in eq A

So, M = B + 12

∴   M = 21 + 12

I.e M = 33 years

So, Now the age of Michael = M = 33 years

Hence The present age of Michael is 33 years . Answer

Answer:

x = 5.57

Step-by-step explanation:

c² = a² + b² − 2ab cos C

x² = 10² + 6² − 2(10)(6) cos 29°

x = 5.57

Your answer and steps are correct.

Answer:

Step-by-step explanation:

D.

There are 47 dimes and 23 quarters.

Step-by-step explanation:

Total amount = $10.45 = 10.45*100 = 1045 cents

Total coins = 70

1 dime = 10 cents

1 quarter = 25 cents

Let,

Dimes = x

Quarters = y

According to given statement;

x+y=70   Eqn 1

10x+25y=1045   Eqn 2

Multiplying Eqn 1 by 10;

[tex]10(x+y=70)\\10x+10y=700\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](10x+25y)-(10x+10y)=1045-700\\10x+25y-10x-10y=345\\15y=345[/tex]

Dividing both sides by 15;

[tex]\frac{15y}{15}=\frac{345}{15}\\y=23[/tex]

Putting y=23 in Eqn 1

[tex]x+23=70\\x=70-23\\x=47[/tex]

There are 47 dimes and 23 quarters.

Keywords: linear equations, subtraction

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Answer:

Step-by-step explanation:

-(8x-9)/3 +6>=9

-(8x -9)/3 +18>=27

-8x +9 +18 >=27

-8x >= 27-9-18

-8x >=0

x>=0

The next higher million is 68 million.

The next lower million is 67 million.

67,492,384 is closer to 67 million than to 68 million.

So the nearest million is 67,000,000 .

To round 67,492,384 to the nearest million, round the millions place up by 1 because the digit to its right is 7.

To round 67,492,384 to the nearest million, we need to consider the digits in the millions place and the digit to its right. In this case, the digit in the millions place is 6, and the digit to its right is 7. Since 7 is greater than or equal to 5, we round the millions place up by 1. Therefore, 67,492,384 rounded to the nearest million is 68,000,000.

Brian spent 70% of his money on jewelry.

Step-by-step explanation:

Given,

Amount spent on jewelry = $47

Total amount spent = $67

Percentage of jewelry = [tex]\frac{amount\ spent\ on\ jewelry}{total\amount\ spent}*100[/tex]

[tex]Percentage\ of\ jewelry=\frac{47}{67}*100\\\\ Percentage\ of\ jewelry=\frac{4700}{67}\\Percentage\ of\ jewelry= 70.14\%[/tex]

Rounding to nearest whole number.

Percentage of jewelry = 70%

Brian spent 70% of his money on jewelry.

Keywords: percentage, division

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