Which line has the greatest rate of change? A line passing through (-1, 4) and (1, 7). A line passing through (1, 3) and (5, 11). A line passing through (1, 1) and (4, -3). A line passing through (0, 6) and (12, 9). please help!!

Hey there!

First of all, let's count the sides that we can count.

Our shortest side is 8 units if you count the squares it covers.

Now we can do our other side, which is 15 units when you count.

Now, we need to find our third side, which is the longest. The longest side is the hypotenuse. Because this triangle is a right triangle (it has a ninety degree angle), we can use the Pythagorean Theorem to solve for this side.

The Pythagorean Theorem states that when a triangle is a right triangle, [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b represent the legs, and c represents the hypotenuse.

So, what we will do now is take the sides we have and solve for our c.

[tex]8^{2} +15^{2} =c^{2} \\64+225=289=c^{2} \\c=\sqrt{289} \\c=17[/tex]

As you can see, we used the square root to undo the squared c.

Now, we add our three lengths to get our perimeter.

8+15+17=40

Therefore, our perimeter is 40 units.

I hope that this helps you! Have a wonderful day!

Answer:

A

Step-by-step explanation:

If all of the dimensions of the tank are doubled, since we live in three dimensions, the volume of the new tank will be [tex]2^3=8[/tex] times as large. [tex]8\cdot 2000=16000[/tex] feet, or answer choice A. Hope this helps!

Answer:

A 16,000 ft³

Step-by-step explanation:

Let's say the dimensions were 2, 10, and 100 now if you double those, it becomes 4, 20, 200 which equals 16,000.

Now let's say the dimensions were 2, 4, 250 double the dimensions again and it becomes 4, 8, 500 which equals 16,000.

So no matter what the dimensions are, the volume will be 16,000.

Answer:

26

Step-by-step explanation:

Start by solving everything in the parentheses

(12 +2x + 6) + (6 - 2x + 2)

now open parentheses and combine like terms

(12 + 6 + 6 + 2) + (2x -2x)

= 26 + 0

= 26

Answer: Option 2

Step-by-step explanation:

[tex]\frac{15x^4y^-^2}{3x^2y^3}[/tex]

Divide 15 by 3 and substract the variables's exponents.

[tex]5x^4^-^2y^-^2^-^3[/tex]

Solve;

[tex]5x^2y^-^5[/tex]

or

[tex]\frac{5x^2}{y^5}[/tex]

The second option is correct. The resulting expression when the indices is simplified according to the law of indices is [tex]\frac{5x^2}{y^5}\\[/tex]

Given the indices expression;

[tex]\dfrac{15x^4y^{-2}}{3x^2y^3}[/tex]

Using the following laws of indices to solve the problem:

[tex]a^n \times a^m = a^{n+m}\\a^n \div a^m = a^{n-m}\\[/tex]

From the given indices

[tex]\dfrac{15x^4y^{-2}}{3x^2y^3}\\=\frac{15}{3} \times \frac{x^4}{x^2} \times \frac{y^{-2}}{y^3}\\= 5 \times x^{4-2} \times y^{-2-3}\\=5\times x^2y^{-5} \\= 5x^2y^{-5[/tex]

This can also be expressed as:

[tex]=5x^2 \times \frac{1}{y^5}\\= \frac{5x^2}{y^5}\\[/tex]

Learn more here:

https://brainly.com/question/20298728

Answer:

The probability of a selected car being a 4 door car, given that the car has a sunroof = 0.40

Step-by-step explanation:

The complete question is presented in the attached image.

The conditional probability, of event A happening, given that event B has happened, P(A|B), is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

So, the required probability of a selected car being a 4 door car, given that the car has a sunroof is given as

P (4 doors | sunroof)

= P (4 doors n sunroof) ÷ P(sunroof)

Note that the probability of an event is given as the number of elements in that event divided by the Total number of events.

P (4 doors n sunroof)

= n (4 doors n sunroof) ÷ n (total)

From the Venn Diagram in the attached image,

n (4 doors n sunroof) = 20 + 0 = 20

n (total) = 100

P (4 doors n sunroof) = (20/100) = 0.20

P(sunroof) = n(sunroof) ÷ n(total)

n(sunroof) = 12 + 18 + 20 + 0 = 50

n(total) = 100

P(sunroof) = (50/100) = 0.50

P (4 doors | sunroof)

= P (4 doors n sunroof) ÷ P(sunroof)

= (0.20/0.50) = 0.40

Hope this Helps!!!

To find the probability of a car having 4 doors given that it has a sunroof, we use conditional probability. The probability can be found by dividing the number of cars with both a sunroof and 4 doors by the total number of cars with a sunroof. In this case, the probability is 6/11.

To find the probability of a car having 4 doors given that it has a sunroof, we need to use the conditional probability formula, which is:

P(4 doors | sunroof) = P(4 doors and sunroof) / P(sunroof)

In this case, we know that 11 cars have a sunroof, 6 cars have 4 doors, and a total of 100 cars are parked at the business. Therefore:

P(4 doors and sunroof) = 6/100

P(sunroof) = 11/100

Substituting these values into the conditional probability formula, we get:

P(4 doors | sunroof) = (6/100) / (11/100)

Simplifying the expression gives us:

P(4 doors | sunroof) = 6/11

Therefore, the probability that a randomly selected car with a sunroof has 4 doors is 6/11.

Answer:

2104.182 * pi

or

6610.13148

Step-by-step explanation:

formula for volume of a cylinder:

pi * r^2 * H

you know the radius and height, so you can substitute those:

pi * 8.7^2 * 27.8

calculate that:

pi * 75.69 * 27.8

2104.182 * pi

or

6610.13148

Apologies in advance if I explain things badly or get the wrong answer. :/

Final answer:

The volume of the display stand, which is a cylinder with a radius of 8.7 cm and a height of 27.8 cm, is approximately 6612.105 cubic centimeters.

Explanation:

To calculate the volume of the cylinder that is being used as a display stand, we will use the formula for the volume of a cylinder, which is V = πr²h. Here, 'V' stands for volume, 'r' is the radius of the cylinder's base, 'h' is its height, and π (pi) is a constant, which we can approximate to 3.14159.

Given:

Now, let's substitute these values into our formula:

V = π(8.7 cm)²(27.8 cm)

V = 3.14159 × (75.69 cm²) × 27.8 cm

V = 3.14159 × 2105.782 cm²

V = 6612.105 cm³ (rounded to three decimal places)

Therefore, the volume of the display stand is approximately 6612.105 cubic centimeters (cm³).

Answer:

21,28

Step-by-step explanation:

3-1=2       2+1=3

6-3=3        3+3=6

10-6=4       4+6=10

15-10=5       5+10=15

                   6+15=21

                   7+21=28

Answer:

20

Step-by-step explanation:

Answer:

2√14

Step-by-step explanation:

√56

√2^2 x 14

√2^2 √14

2√14

Answer:

s = 10w

Step-by-step explanation:

First we need to find the slope

Since the point goes through (0,0), the slope is y/x

Using the point (1,10)

10/1 = 10

The equation is

y = mx+b

The slope is m and the y intercept is b  

The slope is 10 and the b intercept is 0

y = 10x

Changing to the variables on the graph

s = 10w

Answer:

$1676

Step-by-step explanation:

The town of Lantana need $14,000 for a new playground.

Lantana Elementary School raised $5,358.

Lantana Middle School raised $2,834.

Latana High School raised $4,132.

The total amount raised so far is:

$5358 + $2834 + $4132 = $12324

The amount left to raise is:

$14000 - $12324 = $1676

You need to raise $1676.

By adding the amounts raised by all three schools, which is $12,324, and subtracting from the goal of $14,000, we find that an additional $1,676 is needed to fund the new playground in Lantana.

To determine how much more money is needed to reach the $14,000 goal for a new playground in Lantana, we need to sum up the amounts raised by Lantana Elementary School, Lantana Middle School, and Lantana High School, and then subtract this total from the goal.

Lantana Elementary School raised: $5,358
Lantana Middle School raised: $2,834
Lantana High School raised: $4,132

Adding these amounts together we get:
$5,358 + $2,834 + $4,132 = $12,324

To find out how much more is needed:

$14,000 - $12,324 = $1,676

Therefore, the town of Lantana needs to raise an additional $1,676 to meet the goal for the new playground.

Answer:

16 birdhouses

Step-by-step explanation:

2 birdhouses = 30 minutes

multiply by 2

4 birdhouses =60 minutes = 1 hour

Multiply by 4

16 birdhouses = 4 hours

Answer: 16.

Step-by-step explanation:

There is 60 minutes in 1 hour, multiply 60 by 4 then divide it by 30. Then multiply by 2.

When evaluating the expression with p=5 and q=6, assuming the expression is 'p times q squared minus q', the result is 174, which does not match any of the provided options.

The question provided requires evaluating an expression given the values for variables p and q. The expression provided seems to be 'pq 2 - q', but it is slightly unclear due to formatting. Assuming the expression is intended to be 'p times q squared minus q', and with p = 5 and q = 6, the evaluation would proceed as follows:

Therefore, the result is 174, which does not match any of the provided multiple-choice options (A, B, C, D). The options may have been provided incorrectly or the expression may have been transcribed incorrectly. Without further clarification, the evaluated answer is 174.

Answer:

5 times 104 is 520

7 times 103 is 721

Step-by-step explanation:

Answer:

5 x 104 = 520

7 x 103=721

Have a great day

Answer:

-2º

Step-by-step explanation:

First you add 11 to -4 which is +7and the yousubtract 9 equal to -2

Step-by-step explanation:

Temperature at 3 am = -4°C

Temperature at midday = up 11°C

= -4°C + 11°C

= 7°C

Temperature at midnight = down 9°C

= 7°C - 9°C

= -2°C

So, the temperature at midnight is -2°C

Hope it helpful and useful :)

Answer:

the difference is 15 degrees

Step-by-step explanation:

HIghest Temp- (7)

Lowest Temp (-8)

-8 +15 = 7

7-15 = -8

We have been given a conversion problem. We are asked to convert 46 pounds into grams.

First of all, we will convert pounds to kg.

We know that 1 kg is approximately 2.2 pounds.

[tex]\frac{46\text{ lb}}{1}\times \frac{1\text{ kg}}{2.2\text{ lb}}[/tex]

Now we will convert kg to grams.

We know that 1 kg equal 1000 grams.

[tex]\frac{46\text{ lb}}{1}\times \frac{1\text{ kg}}{2.2\text{ lb}}\times \frac{1000\text{ g}}{\text{1 kg}}[/tex]

Now we will cancel out common units that is kg with kg and pounds by pounds.

[tex]\frac{46}{1}\times \frac{1}{2.2}\times \frac{1000\text{ g}}{1}[/tex]

Now we will multiply the terms in numerator and denominator.

[tex]\frac{46\times1\times1000\text{ g}}{1\times2.2\times1}[/tex]

[tex]\frac{46,000\text{ g}}{2.2}[/tex]

[tex]\frac{46,000\text{ g}}{2.2}=20,909.0909\text{ g}\approx 20,909.1\text{ g}[/tex]

Therefore, 46 pounds are approximately 20,909.1 grams.

The converted value for the given conversion problem is 20,909.1 grams, which is determined by dimensional analysis.

The conversion problem is given as:

46 lb/1 × 1 kg/2.2 lb × 1000/1 kg

To convert 46 pounds (lb) to kilograms (kg) using dimensional analysis.

Start with the given value: 46 lb.

Multiply by the conversion factor of 1 kg/2.2 lb.

This ratio converts pounds to kilograms, where 1 kilogram is approximately equal to 2.2 pounds.

The lb unit cancels out, leaving you with the value in kilograms:

(46 lb) × (1 kg/2.2 lb) = 20.9091 kg (rounded to four decimal places).

Lastly, multiply by the conversion factor 1000/1 kg to convert the result to grams (since 1 kg = 1000 grams).

The final result is approximately 20,909.1 grams.

Learn more about the dimensional analysis here:

https://brainly.com/question/30303546

#SPJ3

Answer:

the answer is 29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

a) 84 cm3

b) 14,080 cm3

c) 1392.49 cm3

Step-by-step explanation:

Answer:

81cm. 54 times 1.5 = 81.

Answer:

I disagree with Marty!

Step-by-step explanation:

If Marty would have -$5 it would mean he owns that person $5. If you don't have money you don't owe anything.

For example:

Isaiah has $20 and then he spends $18 and he only has $2 left.

Isaiah doesn't have enough money for anything else or should've not bought anything to save his allowance.

As you can see Isaiah has spent 18 dollars. Therefore, if the person has to ask for the money back, he would have to own those $18.

Back to the problem, Marty would rather have -$5 than $0. If he would rather have -$5 it means he has to own the person.

Therefore Marty would rather have $0.

Sample Response: I disagree with Marty’s statement because negative numbers are less than 0, so having −$5 would mean I would owe $5 to someone.

Answer:

you cant find the value of x with just that. i need an equal sign along with the number

Step-by-step explanation:

Answer: It’s 17.3. Just checked :D

Answer:

x=35°

Step-by-step explanation:

X is 35° because of vertical angle.

Emily bought 14 balloons in total, with 7 balloons being blue. The ratio of blue balloons to total balloons is 1:2.

In this numerical problem, Emily bought a total of 14 balloons. Among them, 3 are red and 4 are white. To find out how many balls are blue, subtract the number of red and white balloons from the total which is 14 - 3 - 4 = 7. Therefore, Emily has 7 blue balloons.

The ratio of blue balloons to the total number of balloons can be calculated by dividing the number of blue balloons by the total number of balloons: 7/14. This results in a ratio of 1:2. This means, for every one blue balloon, there are two total balloons.

https://brainly.com/question/32531170

#SPJ12

Final answer:

Explaining the ratio of blue balloons out of the total in the scenario where Emily buys balloons.

Explanation:

The ratio of blue balloons to the total number of balloons is 7:14 or 1:2.

To calculate this ratio, you add the number of blue balloons (7) to the total number of balloons (14), resulting in a ratio of 7:14, which simplifies to 1:2.

The final part of the question is asking;

How much did all (99.7%) of the students spend on textbooks in a semester

Answer:

almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

Step-by-step explanation:

The standard deviation rule describes to us that for distributions that have the normal shape, approximately 99.7% of the observations fall within 3 standard deviations of the mean.

In this question, we are given that; Mean = 240 and Standard deviation= 25

So, 3 standard deviation below the mean = Mean - 3(standard deviation)

= 240 - (3 × 25)

= 240 - 75 = 165

Now, 3 standard deviation above the mean = Mean + 3 standard deviation = 240 + (3 × 25)

= 240 + 75 = 315

So, almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.

Answer

c) (-3/4)pi

Step-by-step explanation:

radians = degrees*(pi/180)

radians = (-135)*(pi/180)

radians = (-135(pi))/180

Simplify to (-3(pi)/4) or (-3/4)pi

Hope this helped!

Answer:

x = 10

Step-by-step explanation:

if you go off of the other line that equals 10, its about the same length, so 10 is my estimate

hope this helps :)

Answer:

x = 20

Step-by-step explanation:

edge 2020 2021