What is the equation of the line in slope-intercept form?

[ fill in the spaces ]
y=___x+___

The value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6

Given the following from the geometry;

Using the pythagoras theorem;

[tex]c^2=a^2+b^2\\(9+x)^2=9^2+12^2\\81+18x+x^2=81+144\\x^2+18x+81-225=0\\x^2+18x-144=0\\[/tex]

Factorize the result to have;

[tex]x^2+24x-6x-144=0\\x(x+24)-6(x+24)=0\\(x-6)(x+24) =0\\x=6 \ and \ -24\\[/tex]

Since the value of x cannot be negative, hence the value of x would make rq tangent to Circle P at point Q is 6

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Answer: Angles 1 and 5 are supplementary.

Step-by-step explanation:

id did this and ...

Answer: 39

Step-by-step explanation:

On each of the six days Coco ate a square piece of chocolate with side length 15 cm, 15 cm, 9 cm, respectively. Then find the slope versus. 15*15+9*1=236. Then you have to do 236-200=36. Later 36+3, since there were three numbers to get 39.

Answer:the answer is square pyramid

Step-by-step explanation:

Answer: The correct answer is 9x^2 + 48^x + 64

Step-by-step explanation:

The correct answer is 9x^2 + 48^x + 64

We need to convert the given information to meaningful mathematical equation.

Statement: "George is putting trim around his rectangular deck, including the gate. He will need 48 feet of trim to do the entire deck.", it means

[tex] Perimeter \; of\; the\; rectangle=48\; feet [/tex]

Assuming ' L ' as length of the rectangle & ' W ' as the width of the rectangle, the perimeter of rectangle is given by the below formula.

[tex] Perimeter \; of\; the\; rectangle\; =\; 2(L+W) [/tex]

We know "the deck is 14 feet long", which means...

[tex] L=14 \; feet [/tex]

Substituting 14 for L and 48 for Perimeter of rectangle in the formula above, we can set up and equation in terms of W.

[tex] 2(L+W)=Perimeter \; of\; the\; rectangle\\ 2(14+W)=48\\ Divide \; 2\; on\; both\; sides, \; we\; get...\\ \\ \frac{2(14+W)}{2}=\frac{48}{2} \\ Simplifying\; fraction\; on\; both\; sides\\ \\ 14+W=24\\ Subtracting\; 14\; on\; both\; sides\\ \\ 14+W-14=24-14\\ Combine\; like\; terms\\ \\ W=10 [/tex]

Conclusion:

The width of the deck is 10 Feet

Final answer:

The number of people who got the email after three weeks can be calculated using the formula: F = 10 * (1.4)^t, where F represents the number of people, 10 represents the initial number of friends, 1.4 represents the factor of increase, and t represents the number of weeks. After substituting t = 3, we find that approximately 27 people will have received the email after three weeks.

Explanation:

To represent the number of people who got the email after three weeks, we can use the formula:

F = 10 * (1.4)^t

Where:

Substituting t = 3 into the formula, we can calculate the number of people who got the email after three weeks.

F = 10 * (1.4)^3 = 10 * 2.744 = 27.44

Therefore, after three weeks, approximately 27 people will have received the email.

The correct expression is:

(B) [tex]\(10 \cdot 1.4^6\)[/tex]

Sure, let's break it down step by step:

1. Initial number of people who received the email: Karim sent the email to 10 friends, so initially, [tex]\(10\)[/tex] people received it.

2. Factor by which the number of recipients increases each week: The number of recipients increases by a factor of [tex]\(1.4\)[/tex] each week.

3. Number of people who received the email after 1 week: To find this, we multiply the initial number of recipients by the factor for 1 week, which is [tex]\(10 \times 1.4 = 14\).[/tex]

4. Number of people who received the email after 2 weeks: Now, we take the number of recipients after 1 week (14) and multiply it by the factor for another week, [tex]\(1.4\)[/tex], giving us [tex]\(14 \times 1.4 = 19.6\)[/tex]. Since we can't have a fraction of a person, we round this up to the nearest whole number, which is [tex]\(20\).[/tex]

5. Repeating this process for 6 weeks: We continue this process for each additional week until we reach the 6th week.

6. General formula for the number of recipients after [tex]\(n\)[/tex] weeks: After [tex]\(n\)[/tex] weeks, the number of recipients can be calculated using the formula:

[tex]\[10 \times 1.4^n\][/tex]

So after 6 weeks, the expression becomes:

[tex]\[10 \times 1.4^6\][/tex]

7. Final Answer: The correct choice is (B) [tex]\(10 \times 1.4^6\).[/tex]

The correct question is:

Karim sent a chain email to 10 of his friends. The number of people who got the on: il increases by a factor of 1.4 every week.

Which expression gives the number of people who got the email after 6 weeks?

Choose 1 Anwer:

(A) [tex]$(10 \cdot 1.4)^6$[/tex]

(5) [tex]$10 \cdot 1.4^6$[/tex]

(c) [tex]$10+1.4 \cdot 6$[/tex]

(D) [tex]$(10+1.4) \cdot 6$[/tex]

Solution:

we are given with a dot plot where we can see that the number of visitors.

we have been asked to find the median of the data set.

From the data plot , we can write the data set as below

56,56,56,56,58,58,60,62,62,62,63,65,65,68,68.

Here the data set is already arranged in the ascending order.

Now if the number of data points in the data set is odd then middle number is the median.

If the number of data points  in the data set is even then the sum of middle two divided by 2 gives the median.

Here the number of data points in the data set is odd.

So the median is 8th value from any side.

Hence the median of the given data set is 62.

Final answer:

The arena therefore made £6,000 from Phillip Cage's concert.

Explanation:

To find the amount of money the arena made from Phillip Cage's concert:

The ratio of hours Lisa works to hours Lisa sleep is 3: 8.

The comparison of two quantities is known as a ratio. which could be easily determined by dividing one value by other which also indicates the percentage.

Given Lisa works 7 hours per day, works 3 hours per day, and sleeps for 8 hours per day. Therefore, the ratio of hours Lisa works to hours Lisa sleeps is the work hour of Lisa divided by hours of sleep per day.

Hence, the required ratio is  3: 8.

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The statement that at least one of the kids won exactly 5 coloring contests based on the given median and range is not necessarily true; the information provided doesn't specify individual winnings.

The statement that at least one of the kids won exactly 5 coloring contests is false based on the given information. The median of a dataset is the middle value when the numbers are arranged in order. However, knowing the median is 5 does not necessarily mean any of the values in the dataset are 5. It only indicates that half of the kids won more than 5 contests, and half won fewer. The range of 6 tells us the difference between the highest and lowest values but does not provide specific information about any of the kids winning exactly 5 contests.

The given data does not contain enough information to accurately say whether a kid won exactly 5 contests or not, thus making the initial claim not necessarily true.

Answer: 1.2-apex

...............

There are 18 minutes John must have used during the month.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A cell phone company has a basic monthly plan of 40$ plus $0.45 for any minutes uses over 700.

Before receiving this statement, John saw he was charged a total of $48.10.

Let the time he must have used during the month = x

So, We can formulate the equation as;

⇒ $48.10 = $40 + $0.45 x

Solve for x as;

⇒ 48.10 - 40 = 0.45x

⇒ 8.10 = 0.45x

⇒ x = 8.10 / 0.45

⇒ x = 18

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