a snail travels 5 meters in 20 minutes. He travels the same amount of time per meter. How long will it take him to travel 11 meters?

​

Answer:

The height, x of the tree is 35 meters

Step-by-step explanation:

use Pythagorean  theory to answer

(x+2)^2= x^2+(x-23)^2

\(x^{2}\)+4x+4=\(x^{2}\)+\(x^{2}\)-46x+529

re-arrange the equation and collect like terms

\(x^{2}\)-50x+525=0

(x-35)(x-15)=0

x=15 or x=35

x cannot be 15 because 15-23 is a negative answer

therefore the height of tree is 35 m

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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Select all the Subsets of the real number system in which 710 belongs

(you can choose several)

__________________

A. Rational number ()



B. Irrational number ()



C. Integer number ()



D. Whole number ()



E. Counting number()

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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Answer:

Add 6 to both sides

Step-by-step explanation:

The (usual) first thing to do when solving any equation is to simplify both sides of the equation. However, since we have nothing to simplify, we move onto the next step that'll be the first step: isolating the variable, x. To do so, we must do the inverse of subtracting 6 (which is adding 6).

Answer:

Geometric

common ratio is 3/4

Answer:

35 feet long because if you divide 100 by 28 it equals to 35 feet

The value of the required missing angle is;

m<JKM = 35°

We know from geometry that the sum of angles in a triangle sums up to 180 degrees.

Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.

We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.

Thus to find the angle m<JKM, we can write the name expression as;

m<JKM = 180 - (90 + 55)

m<JKM = 35°

Thus that's the value of the required missing angle.

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\( ({ {a}^{3} \times a \div {a}^{2} })^{ - 1} = \)

\( ( { {a}^{3 + 1} \times {a}^{ - 2} })^{ - 1} = \)

\( ({ {a}^{4 - 2} })^{ - 1} = ({ {a}^{2} })^{ - 1} = {a}^{(2)( - 1)} = \\ \)

\( {a}^{ - 2} \)

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Answer:

h= 6

Step-by-step explanation:

To find out the value of h, start by forming an equation for the cost of renting a trampoline:

Cost of renting= $(75 +8t), where t is the rental duration.

When the cost is $125,

75 +8t= 125

Subtract 75 from both sides:

8t= 125 -75

8t= 50

Divide both sides by 8:

t= 50 ÷8

t= 6.25

Since she wants to spend less than $125, let's round the value down to the nearest hour.

∴ h= 6

Thus, she could rent it for 6 hours.

Let's check!

Total cost of renting for 6 hours

= 6(8) +75

= $123

Total cost of renting for 7 hours

= 7(8) +75

= $131

Hence, 6 hours is indeed the maximum number of hours she can rent the trampoline for, such that the total cost is less than $125.

240 soldiers were transferred to the other camp. Let's assume the number of soldiers transferred to the other camp is "x." we can solve for the unknown variable representing the number of soldiers transferred.

Initially, the food provision was planned for 800 soldiers for 35 days. This means that the total food supply is equal to 800 soldiers multiplied by 35 days, which gives us a total of 28,000 soldier-days of food.

After some soldiers were transferred, the remaining soldiers had enough food to last for 50 days. So the food supply for the remaining soldiers can be calculated as the product of the number of remaining soldiers and the number of days, which gives us (800 - x) * 50 soldier-days of food.

Since the amount of food remains the same, we can set up the following equation:

\(28,000 = (800 - x) * 50\)

Now, let's solve this equation to find the value of x, representing the number of soldiers transferred to the other camp:

\(28,000 = 50 * 800 - 50x28,000 = 40,000 - 50x50x = 40,000 - 28,00050x = 12,000x = 12,000 / 50x = 240\)

By setting up the equation based on the total food supply for the initial and remaining soldiers, we can solve for the unknown variable representing the number of soldiers transferred. In this case, 240 soldiers were transferred to the other camp.

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Answer:

y=0.750+47.28

Step-by-step explanation:

The regression line equation is  mathematically given as y=0.750+47.28

straight line

The least square regression line is used to predict the value of the dependent variable from an independent variable.

Generally, the equation for is  mathematically given as

y=0.750+47.28

resting heart rate;

x= 47.9 ,y=0.750+47.28 = 159.04 = 159

x = 50.2, y=0.750+47.28= 162.34 = 162

The regression line is a straight line

In conclusion, the predicted life expectancy of men in the country in which the life expectancy of women is 70 years is 65.33 years.

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Answer:

B)  slope of the line   \(\frac{-5}{8}\)  ;Y- intercept is none

slope of the line   \(m = \frac{-5}{8}\)

Y- intercept is none

Step-by-step explanation:

Explanation:-

Given equation of the line   \(y = \frac{-5}{8} x\)

The equation of the straight line in slope - intercept form

                        y = m x + c

                        \(y = \frac{-5}{8} x+0\)

slope of the line   \(m = \frac{-5}{8}\)

Y- intercept is none

Answer:

11.9230769231

Step-by-step explanation:

Don't ask I am a smarty

Use substitution method to and solve in terms of x using the first equation

Next, substitute it to the second equation

Then, substitute it back to first equation and solve for x

Now we have the following solutions

Get the square root of both x's and y's to get the solution

Getting the combination of ordered pairs we have the following solutions

Step-by-step explanation:

helo9ooooooo

thanks for freeeee points

Answer:

Umm..... no offense but do u need a docter or something?

Step-by-step explanation:

Answer: 8/11

Step-by-step explanation:

Slope is given by rise/run or (y_2-y_1)/(x_2-x_1).

(x_1,y_1)=(9,8) and (x_2,y_2)=(-2,0)

So (y_2-y_1)/(x_2-x_1)= (0-8)/(-2-9)=-8/-11=8/11

The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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By graphing, the solution to the system is: (3, 1).

To solve a system of equations by graphing, you can use the following steps:

Given the system,  y = 5/3x - 4 and y = -1/3x +2, by graphing as shown in the image below, their lines intersect at (3, 1). The solution is: (3, 1).

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bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answers the answer for question one is 3 , for question number two the answer is 9 and the answer for the last question is 24

Step-by-step explanation:

The radius of the cone is 3ft

The base area of the cone is 28.26ft²

The volume of the given cone is 75.36ft³

The formula for calculating the volume of a cone is expressed as:

\(V = \frac{1}{3} \pi r^2 h\)

r is the base radius

h is the height of the cone

V is the volume of the cone

From the diagram, the base diameter is 6 ft

Base radius = 6/2 = 3ft

The area of the base of the cone is \(\pi r^2 h\)

Base area = \(3.14 \times 3^2\ = 28.26ft^2\)

Get the required volume of the cone

Volume = Base area/3

Volume = \(\frac{1}{3} \times 28.26 \times 8 = 75.36ft^3\)

Hence the volume of the given cone is 75.36ft³

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Answer:

6^2 = 36

8^2 = 64

15^2 = 225

Step-by-step explanation:

6 * 6 = 36,

8 * 8 = 64,

and 15 * 15 = 225.

Answer:

Step-by-step explanation:

6^2 = 6*6 = 36

8^2=8*8=64

15^2=15*15=225

Answer:

4 14/27

Step-by-step explanation:

The first five terms

6

-6/3

6/9

-6/27

+6/81

The first thing to do is change all the fractions denominators to 81.

Sum = 6*81/81 - 6(27)/81 + 6*9/81 - 6*3/81 + 6/81

Now add

Sum = 366/81

Sum = 4 14/27

Sum = 4.5185

Note the first term. It has been multiplied by 6*81/81. The 81 over 81 does not change the value of anything 6 * 81/81 is still 6. It just makes it easier to combine with the other members of the series.

Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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Answer:

C is the correct answer.

Step-by-step explanation:

The area of one face of this cube is 14 × 14, or 196 square centimeters, so the surface area of the cube is 6 × 196 = 1,176 square centimeters.

Answer:

C

Step-by-step explanation:

This sign "≤" has both the less sign and the equal sign so it indicates that -14 is less than or equal to x.

Answer:

yes, each input would have exactly one output if you completed this table.

Step-by-step explanation:

Yes, there is only one output for each input. The table's linear equation provides exactly one value of y for each value of x.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

The general equation of a line is y = mx + c

where m is the slope of the line and c is the intercept.

A linear equation is defined as an equation in which the highest power of the variable is always one.

The table's linear equation provides exactly one value of y for each value of x.

Yes, there is only one output for each input.

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As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

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Lets take this problem as 25/8 - 15/8. This is both the fractions in improper form. Subtract 25 and 15 and divide the answer by 8 so 10 divided by 8 which is equal to 1 1/4

Answer:

3 1/2

Step-by-step explanation:

change the fractions into improper fraction. 29/4 - 15/4 = 14/4 which can be simplified into 3 1/2