Choose an equivalent expression for two thirds to the fourth power times two thirds raised to the third power comma all raised to the second power.

A. four ninths raised to the fourteenth power
B. four ninths raised to the twenty fourth power
C. two thirds raised to the fourteenth power
D. two thirds raised to the twenty fourth power

Eishhhh. The question is hard.

Answer:

I would say door one

Step-by-step explanation: I say this because he has a 50 % chance that the lady is behind door one, door one also says that the lady is supposedly back there while the tiger is behind the other door.While the other door says that there is a 50 % chance that there is a lion in the room or there could not be. That makes me think that door one has the lady behind it.

I disagree with Rafael's as 204 is incorrect, the correct number of balloons is 144 balloons

Water ballon is a type of ballon that is filled up with water. It is used by children during different outdoor and relaxation activities.

Rafael's mum buys 6 packages of water balloons for a party

Each package has 24 water balloons

Therefore the total number of balloons can be calculated by multiplying the number of packages which is 6 by the number of balloons which is 24

= 24 × 6

= 144

Hence the are 144 water balloons

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Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.

Answer:

wow u can really dance

Step-by-step explanation:

The slope of parallel lines is the same, which is y = 5x - 12.

Parallel lines have the same slope in two dimensions. If we are aware of a point on the line and the equation of the supplied line, we can construct the equation of a line that is parallel to the given line.

Given: a line or point with a slope of m (x - x1), where m is the slope, and (x1,y1) is a point on the line, we obtain

y - (-1) = m (x - 2), and now the line is parallel to the one that was supplied. The slope is the SAME for parallel lines.

y + 2 = 5 (x - 2)

A line with a slope of y + 2 = 5x - 10 points...

Y = 5x – 12 – 2 – Subtract 2 from both sides.

Hence, the equation of the line that is perpendicular to the provided line and passes through has the form y = 5x – 12.

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The area of Circle is 15∧2*π

Hence option A is correct.

According to the question the diameter of circle is 30 meters

we know,

diameter = radius*2

by using this we can say that the radius of the circle is 30/2

that is  R = 15 meters

now According to the formula

Area of Circle = R*R*π

Putting the value of R into the formula by Substitution method

Area of circle = 15*15*π

hence by this we can say that,

Area of circle = 15∧2*π

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Answer:

918 , bc it is the answer

Step-by-step explanation:

i used a source

The correct option regarding individuals and variables is given by:

An individual is the population of interest. A variable is an aspect of an individual subject or object being measured.

Hence the correct option is:

An individual is the population of interest. A variable is an aspect of an individual subject or object being measured.

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Answer:

4, -8

Step-by-step explanation:

The equation representing the situation is [tex]2.9+x = 29.7[/tex] where [tex]x[/tex] represents the pressure of barometric pressure when the eye of the hurricane passed over and pressure is 26.8 inches of mercury.

As per the question, The day after a hurricane, the barometric pressure in a coastal town has risen to 29.7 inches of mercury, which is 2.9 inches of mercury higher than the pressure that occurred when the eye of the hurricane passed over.

We are supposed to form an equation representing the situation and calculate the barometric pressure when the eye passed over.

Let's assume that [tex]x[/tex] represents  the pressure of barometric pressure when the eye of the hurricane passed over.

So using the concept of linear equation, we can form an equation as,

[tex]2.9+x = 29.7[/tex]

And pressure of barometric pressure when the eye of the hurricane passed over and pressure is

[tex]x=29.7-2.9\\x=26.8[/tex]

So 26.8 inches of mercury is the barometric pressure when the eye of the hurricane passed over.

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The compound interest earned by Jamaal after a year is $4174.30.

The formula for finding the compound interest is;

CI = p( 1 + r/n)∧nt

where p is the principal amount = $4100.

r is the rate of interest = 1.8% = 0.018.

t is the total time in years = 1 year.

n is the number of time interest given = 4 times.

Put the values;

CI = 4100( 1 + 0.018/4)∧4(1)

CI = 4100×1.018

CI = 4174.30

Thus, the amount of compound interest earned by Jamaal earned after an year is $4174.30.

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The domain of the function g (x) = (x² - 2 x - 15) / (x² + x - 6) is R - {-3, 2}.

We are given a function:

g (x) = (x² - 2 x - 15) / (x² + x - 6)

We need to find the domain of the function.

We know that a function becomes not defined when the denominator becomes 0.

Put x² + x - 6 = 0

x² + 3 x - 2 x - 6 = 0

x (x + 3) - 2( x + 3) = 0

( x + 3 ) ( x - 2 ) = 0

We get x = - 3 and x = 2.

So, these cannot be the values of x

So, the domain is

Domain = R - {-3, 2}

Therefore, the domain of the function g (x) = (x² - 2 x - 15) / (x² + x - 6) is R - {-3, 2}.

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The number of cars should be 100 and that of bus be 0.

x is the number of cars and y is the number of buses.

Area: 6x + 30y <= 600 simplifies to x + 5y <= 100

Total money collected: 2.50x + 7.50 y …..this is what you want to maximize

OR you want to maximize 2.50 (x+ 3 y)

OR you want to maximize (x+3y)

Replacing the value of x from the Area equation in the above price, we get

100 - 5y + 3y is the maximum amount you can collect

So you want to maximize 100 - 2y. This happens when y is 0.

When y is 0; x will be 100 and you will collect 250.

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The computation shows that the number of miles is 40 miles.

Based on the information, Truck A will be: = $70 + 0.2m

Truck B = 50 + 0.7m

where m = number of miles

Therefore 50 + 0.7m = 70 + 0.2m

Collect like terms

0.7m - 0.2m = 70 - 50

0.5m = 20

m = 20/0.5

m = 40

The number of miles will be 40.

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Answer: 1. f = 444N

2. f = 36900N

3. a=34 m/s2

Step-by-step explanation:

f=net force. a=acceleration. m=mass.

f = m*a

1. f = m*a

f = 6 * 740

f = 444N

2. f = 82 * 450

f = 36900N

3. f = m*a

1800=53*a

a=1800/53

a=34 m/s2

Answer:

1)  4440 N

2)  36900 N

3)  34.0 m/s² (nearest tenth)

Step-by-step explanation:

Newton's Second Law of Motion

The overall resultant force acting on a body is equal to the mass of the body multiplied by the body's acceleration.

[tex]\large\boxed{F_{net}=ma}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}F_{net} & =ma\\\implies F_{net} & =6 \cdot 740\\& =4440\:\sf N\end{aligned}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}F_{net} & =ma\\\implies F_{net} & =82 \cdot 450\\& =36900\:\sf N\end{aligned}[/tex]

Given:

Substitute the given values into the formula:

[tex]\begin{aligned}F_{net} & =ma\\\implies 1800& =53a\\a & = \dfrac{1800}{53}\\ a& =33.96226415...\\ & = 34.0\:\sf m/s^2 \:\:(nearest\:tenth)\end{aligned}[/tex]

Answer:

m=6

Step-by-step explanation:

-3m+12=-6

3m=12+6

3m=18

m=6

m = 6.

Step-by-step explanation:

[tex]{ \green{ \tt{ - 3}}}({ \green{ \tt{m - 4}}}) = { \green{ \tt{ - 6}}}[/tex]

[tex]{ \green{ \tt{ - 3m + 12}}} = { \green{ \tt{ - 6}}}[/tex]

[tex]{ \green{ \tt{3m}}} = { \green{ \tt{12}}} \: + \: { \green{ \tt{6}}}[/tex]

[tex]{ \green{ \tt{3m}}} = { \green{ \tt{18}}}[/tex]

[tex]{ \green{ \tt{m}}} = \frac{ \green{ \tt{18}}}{ \green{ \tt{3}}} [/tex]

[tex]{ \green{ \tt{m}}} = { \red{ \mathfrak{6}}}[/tex]

Answer:

18.84

Step-by-step explanation:

If we are borrowing $10840 to buy a car and repaying it in 6 years (or 72 months) , our monthly payment will be $150.55 or rounded of $200.

As per the question statement, we are borrowing $10840 to buy a car and repaying it in 6 years (or 72 months) , what will be the estimate monthly payment by rounding off to the nearest hundred dollars

First we are supposed to find the monthly payment then we can round it off to the nearest hundred dollars.

Total loan borrowed = $10840

Time taken to pay it off = 6 years or 72 months,

Payment to be made per month = [tex]\frac{10840}{72} \\ 150.5556[/tex]

Therefore [tex]150.5556[/tex] dollars is to be paid every month for 72 months.

After rounding off to the nearest hundred dollars we will get $200.

Hence we are supposed to pay approximately $200 every month for 72 months.

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Answer:

B

Step-by-step explanation:

because is joy walked 14 steps and her friend walks 5 steps the answer is 19 steps 14+5=19

The fix points of the function f (x) = x³ are,

⇒ x = 0,  x = 1  and  x = -1

What is fixed point of a function?

The fixed point of a function is determine by solving the function

f (x) = x.

The function is given as;

⇒ f (x) = x³

Since, The fix point of a function is determine by solving the function

f (x) = x

Hence, we can solve as;

f (x) = x

x³ = x

x³ - x = 0

x ( x² - 1 ) = 0

x ( x² - 1² ) = 0

x ( x - 1 ) ( x + 1 ) = 0

Equate each term to zero,

x = 0

x - 1 = 0 ⇒ x = 1

x + 1 = 0 ⇒ x = -1

Therefore, The fix points of the function f (x) = x³ are,

⇒ x = 0, x = 1 and x = -1

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Answer:

(i) Find the smallest number which, on being added 23 to it, is exactly divisible by 32, 36, 48 and 96.

(ii) Find the least length of a rope which can be cut into whole number of pieces of lengths 45 cm, 75 cm and 81 cm.

(iii) Find the greatest number of 4-digits which is exactly divisible by 40, 48 and 60.

(iv) What is the least number of saplings that can be arranged in rows of 12, 15 or 40 in each row?

(v) 210 oranges, 252 apples and 294 pears are equally packed in cartons so that no fruit is left. What is the biggest possible number of cartons needed?

(vi) A certain number of students can be arranged in groups of 3, 4, 6 or 8 with no student left behind. Find the number of students.

(vii) The local bus service has 2 lines of buses that start together at 8 a.m. Buses on line A leave after every 15 minutes while Buses on line B leave after every 20 minutes. In a day, how many times do buses on both line A and B leave together between 8 a.m. and 11 a.m.

(vii) Three painters Ron, Victor and Shelly are painting the rooms of a hotel which are numbered from 15 – 200. Ron has to work in all the rooms. Victor has to work in rooms where the room number is a multiple of 3. Shelly has to work in rooms where the room number is a multiple of 5. In which rooms will they all work together?

(ix) Sara goes to the shopping mall every 6th day. Andy goes to the same shopping mall every 7th day. How many times will they meet in the mall in the month of December and January if we start counting from 1st December?

x) The HCF of two numbers is 6, if one of the numbers is 42, find the other number?

(xi) Find the greatest number of 5-digits which on being divided by 9, 12, 24 and 45 leaves 3, 6, 18 and 39 as remainders respectively

Sam can jump 4 steps at a time and Nina can jump 5 steps at a time. On which of the steps will both meet if both start jumping together?

(xii) Mary has a dance class every 2nd day and painting class every 3rd day. On which of the day will she have both the classes?

(xiii) Find a multiple of 70 which is between 200 and 600 which has odd digits at tens and hundreds place.

(xiv) Find a multiple of 120 which lies between 400 and 500 where the digit at tens place is double the digit at hundreds place.

Answer: x = -14, y = -13

Step-by-step explanation:

As stated by the question, we can use a system of equations to help us solve.

First, the difference between two numbers (x and y) is -1. The difference represents subtraction.

     x - y = -1

Next, the sum of the numbers (x and y) is -27. The sum represents addition.

     x + y = -27

Now, we can solve this system. We will graph both of the equations. The point of intersection is the solution, see attached. This gives us an answer of x = -14 and y = -13.

     x - y = -1

     x + y = -27

Answer: 0.1111111111

33

22 dimes and 9 nickels

x equals 1

f(4)=f(×)

x=1

3,200x7.253,200 x .0725 = $232 interest monthly

232monthly x 12annual= 2, 784

answer: 33 ( approx)

In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).  It is not the same as a fee that the borrower might pay to the lender or another entity. Interest advance, but rather on a pro-rata basis as a share of the reward received by risk-taking business people when revenue is earned that exceeds all costs.

For Interest, a customer who borrows money from a bank typically pays interest on it, so they pay the bank more than they borrowed; likewise, a customer who earns interest on their savings may withdraw more than they originally put. When it comes to savings, the bank serves as the borrower while the consumer serves as the lender.

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The Value of of x such that f(x) = g(x) are -3, 0, 4 and 7

The graph given in the question shows two curves of two different functions f(x) ang g(x)

Here, we need to find the value ox such that f(x) =F g(x)

For this we need to look at the graph of both the function  together find the intersection points of both the graph

This is coordinate geometry

We can see that there are 4 points at which the curves are intersecting

We can find the coordinates of these 4 points from the graph

First point ( -3, 4)

Second point (0,3)

Third point (4 , 3)

The fourth and the last point ( 7, 4)

The x coordinates of the intersection points are the values of x such that f(x) = g(x)

Hence, The Value of of x such that f(x) = g(x) are -3, 0, 4 and 7

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