Suppose that z=6^500. Express the following in terms of z.

1. 36^500=
2. 8 x 6^500 + 6^501

Step-by-step explanation:

Given :-

And we need to find out the volume of the wood. Density , volume and mass are related as ,

Density :-

\(\implies\rm Density =\dfrac{Mass}{Volume}\)

Substitute the respective values :-

\(\implies\rm Density =\dfrac{Mass}{Volume}\\\\\rm\implies 0.065 kg/m^3=\dfrac{3.5kg}{V}\\\\\rm\implies Volume = \dfrac{3.5kg}{0.065 kg/m^3}\\\\\implies\boxed{\red{\rm Volume = 53.84 m^3}}\)

Hence the volume is 53.84 m³ .

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-324 ÷ -6 ÷ 3 ÷ -9 = 162

-324 ÷ 162 = -2

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

natural numbers - positive integers (whole numbers)

• 1

• 2

• 3

• 4

• 5

whole numbers - a number without fractions

• 10

• 11

• 12

• 13

• 14

rational numbers - a number that can be expressed as the ratio of two integers

• 1/3 or 0.3333...

• 17

• -34

• 25

• -10

integers - a whole number; a value that is not a fraction

• -5

• 49

• 68

• 439

• 35

Answer:

2/5 =y

Step-by-step explanation:

8/5 = 4y

Divide each side by 4

8/5 * 1/4 = 4y/4

8/4 *1/5 = y

2 *1/5 = y

2/5 =y

Answer:

y=2/5

Step-by-step explanation:

8/5=4y

y=(8/5)/4

y=(8/5)(1/4)

y=8/20

simplify

y=2/5

Answer:

the solution set of inequality 2.9 (x + 8) less-than 26.1 is \(x<1\)

Option D is correct.

Step-by-step explanation:

We need to find the graph that shows the solution set of the inequality 2.9 (x + 8) less-than 26.1

First we will solve the inequality to find value of x

\(2.9 (x + 8) <26.1\)

Divide both sides by  2.9

\(\frac{2.9 (x + 8)}{2.9} < \frac{26.1}{2.9} \\x+8 < 9\)

Subtract both sides by -8

\(x+8-8<9-8\\x<1\)

So, the solution set of inequality 2.9 (x + 8) less-than 26.1 is \(x<1\)

The graph would be:

A number line goes from negative 10 to positive 10. An open circle appears at positive 1. The number line is shaded from positive 1 toward negative 10.

Option D is correct.

The graph is attached in figure also.

Answer:

d

Step-by-step explanation:

edge 2022

Answer:

C

Step-by-step explanation:

the function calculates the number of pages left to print. that means for every minute it subtracts a number of pages from the total of pages (that total being 152 pages).

the colored print only manages 30 pages per minute, while the pure black ink printing manages 33 pages per minute.

Answer:

(see explanation below)

Step-by-step explanation:

The x-intercept is where the line intersects with the x-axis. If you look at the given line in the coordinate plane, you can see that the line intersects the x-axis at (-2, 0). Therefore, the x-intercept is -2.

The y-intercept is where the line intersects with the y-axis. If you look at the given line in the coordinate plane, you can see that the line intersects the y-axis at (0, 4). Therefore, the y-intercept (also represented by the variable b) is 4.

There are 21 different city combinations possible for Peter's summer traveling.

To determine the number of different city combinations possible for Peter's summer traveling, we need to calculate the number of combinations of choosing 5 cities out of the 7 available cities.

Since the order in which he visits the cities does not matter, we are dealing with combinations rather than permutations.

The formula to calculate the number of combinations is given by the binomial coefficient, also known as "n choose k," denoted as C(n, k) or (nCk).

In this case, we have 7 cities to choose from, and Peter will visit 5 cities. Thus, we can calculate the number of city combinations as follows:

C(7, 5) = 7! / (5! * (7-5)!)

= 7! / (5! * 2!)

= (7 * 6 * 5!) / (5! * 2)

= (7 * 6) / 2

= 42 / 2

= 21

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The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

We have

Number of students= 1200

Water consumption per student= 750 ml

So, Total water consumption

= Number of students × Water consumption per student

= 1200 × 750 ml

= 900000 ml

= 900 Liter

Now, the time cooler tank has to be filled to quench the thirst

= 900 / 50

= 18 times

Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.

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Slope means the inclination of the line

the equation is Y - y1 = m (X - x1)

then we need to find a point in the line,

for example if x=1 then y=

y = 2/5

m the slope is the number that goes with X,

so the slope is 1.5

And finally repacing we find

Y - 1 =

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer:it’s y+3=6x

Step-by-step explanation:

The function y + 3 = 6x has the same y-intercept as the shown graph. The correct answer would be option(4).

The y-intercept is defined as an intercept that is located at the y-axis of the plane, is the location or coordinate from where the line crosses.

The graph is given in the question, as shown

As per the given graph, we can see y-intercept is (0, -3) for the given line

Now, we take provided equations for finding their y-intercepts

1. y = (12 - 6x)/4

Substitute the value x = 0 in the above equation, and we get

y = (12 - 6(0))/4

y = 12/4

y = 3

2. 27 + 3y = 6x

Substitute the value x = 0 in the above equation, and we get

27 + 3y = 6(0)

y = -3

3. 6y + x = 18

Substitute the value x = 0 in the above equation, and we get

6y + 0 = 18

y = 18/6

y = 3

4. y + 3 = 6x

Substitute the value x = 0 in the above equation, and we get

y + 3 =  6(0)

y = -3

This function has the same y-intercept as the shown graph.

Hence, the correct answer would be an option(4).

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Answer:

x+8=15

-8. -8

x=7

7x=35

7. 7

x=5

C. y = 2/7 x

When x = 7, y = 2

(2) = (2/7)(7)

2 = 2

Using the volume of the sphere, it is found that 445.1 in³ of the ball is occupied by water.

The volume of a sphere of radius r is given by:

\(V = \frac{4\pi}{3}r^3\)

In this problem, the radius is of r = 5 in, hence the volume in cubic inches is given by:

\(V = \frac{4\pi}{3}(5)^3 = 523.6\)

85% of this is filled by water, hence the space occupied by water, in cubic inches, is of:

0.85 x 523.6 = 445.1.

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Answer:

Step-by-step explanation:

Here's how you convert:

\(\sqrt[n]{x^m}=x^{\frac{m}{n}\)  The little number outside the radical, called the index, serves as the denominator in the rational power, and the power on the x inside the radical serves as the numerator in the rational power on the x.

A couple of examples:

\(\sqrt[3]{x^4}=x^{\frac{4}{3}\)

\(\sqrt[5]{x^7}=x^{\frac{7}{5}\)

It's that simple. For your problem in particular:

\(\sqrt[3]{7}\) is the exact same thing as \(\sqrt[3]{7^1}=7^{\frac{1}{3}\)

Step-by-step explanation:

Hey there!

The equation is;

\(3x + 2 = 2x - 5\)

Shifting "2x" to left side and "2" to right side.

\(3x - 2x = - 5 - 2\)

Simplify them to get answer.

\(x = - 7\)

Therefore the value of x is -7.

Check;

3 × -7 + 2 = 2 × -7 -5

-19 = -19 ( True ).

So, your answer is option B.

Hope it helps..

Answer:

I think that's 11,8

Step-by-step explanation:

Hope its right

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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From the given actual height of tower 1083 feet and width 410 feet, the

scale model is equal to 1.98 feet tall.

As given,

Eiffel Tower's actual height = 1083 feet

Eiffel Tower's actual width at base = 410 feet

Scale model's width at base = 0.75 feet

To find: how much tall is the scale model of the Eiffel Tower

Let us assume the height of the scale model of the Eiffel Tower to be x feet

Then by the property of similarity of scale models, ratio of the height of actual Eiffel Tower to its scale model will be equal to the ratio of the width of their base.

=> \(\frac{x}{1083} = \frac{0.75}{410}\)

=> x = 1.98 feet

Therefore,  the width of the base of the scale model of the Eiffel Tower is 1.98 feet with given actual height and width 1083feet and 410 feet respectively.

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Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Mrs. Wu initially had $1062.40.

Let's break down the given information step by step:

1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.

  Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.

2. The dress cost 3 times as much as each blouse.

  Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.

3. Mrs. Wu spent 3/4 of her remaining money on a watch.

  After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.

4. She spent $220.50 more on the watch than on the dress.

  The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.

To find the value of M, we can set up an equation:

(15/24)M - (1/6)M = $220.50

Simplifying the equation:

(15/24 - 1/6)M = $220.50

(5/24)M = $220.50

Multiplying both sides by (24/5):

M = $220.50 * (24/5)

M = $1062.40

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Answer:-39

Step-by-step explanation:

The first thing is to open the bracket.

By doing that, the question becomes -37-2.

note that plus×minus=minus.

Hence,-39 as the final answer

Answer: bottom right

Step-by-step explanation:

The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.

The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.

To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:

For y = sin(x):

x = 0, y = 0

x = π/2, y = 1

x = π, y = 0

x = 3π/2, y = -1

x = 2π, y = 0

For y = sin(2x):

x = 0, y = 0

x = π/2, y = 0

x = π, y = 0

x = 3π/2, y = 0

x = 2π, y = 0

As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).

Therefore, the correct statement is: It is compressed horizontally.

Answer: it equals m

C). m

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

|-9|=9

..

because inside | | numbers are always positive

Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Meaning of probability :

Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.

The analysis of events governed by probability is called statistics.

According to the given information :

Red section = \(\frac{2}{5}\)

multiply numerator and denominator by \(2\) we get

Red section = \(\frac{4}{10}\)

 Blue section = \(\frac{1}{2}\)

 multiply numerator and denominator by \(5\) we get

 Blue section = \(\frac{5}{10}\)

 Green section = \(1\)- Red section - Blue section

 Green section =\(1-\frac{4}{10} -\frac{5}{10}\)

  Green section = \(\frac{1}{10}\)

Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

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Answer:

Thxs dude ;)

Step-by-step explanation:

Answer:

thank you, thank you