line p contains point (6 ,- 5 and is perpendicular to line q the equation for line q is y=3x+5 write an equation for line q the find slope of line p write the recprocal of the slope you found in part 1

Answer:

x = 16

y = 11

Step-by-step explanation:

Let the larger number = x

Let the smaller number = y

x  - y = 5

x = 2*y - 6

Put the second equation into the first. Substitute for x

2y - 6 - y = 5                          

combine

y - 6 = 5

and 6 to both sides.

y - 6 + 6 = 5 + 6

Combine

y = 11

=======================

Find x

x - y = 5           Substitute for y

x - 11  = 5          Add 11 to both sides.

x - 11+11=5+11

x = 16

Answer:

B) 3/2

Step-by-step explanation:

a doesn't work because 2 x 1/2 = 1 which is less that 2

c doesn't work because 4/2 = 2 and 2 x 2 = 4 which is equal to 4 when we want less than 4

d doesn't work because it is greater than c

b works because 2 x 3/2 = 6/2 = 3

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=3x+2&(1)\\y=5x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\5x=3x+2\qquad\text{subtract 3x from both sides}\\2x=2\qquad\text{divide both sides by 2}\\x=1\\\\\text{Put the value of x to (2):}\\\\y=5(1)=5[/tex]

To determine the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of a data set, you need to follow these steps:

1. Order the Data Set: Arrange the data set in ascending order.

2. Minimum and Maximum: Identify the smallest and largest values in the ordered data set.

3. Median (Q2): This is the middle value of the data set. If there is an odd number of observations, it is the middle one. If there is an even number of observations, it is the average of the two middle values.

4. First Quartile (Q1): This is the median of the first half of the data (the lower 50%). If the number of observations is odd, do not include the median in this half.

5. Third Quartile (Q3): This is the median of the second half of the data (the upper 50%). If the number of observations is odd, do not include the median in this half.

Let's consider an example data set to illustrate these steps:

Example Data Set: 3, 7, 8, 5, 12, 14, 21, 13, 18

1. Order the Data Set: 3, 5, 7, 8, 12, 13, 14, 18, 21

2. Minimum and Maximum:

  - Minimum = 3

  - Maximum = 21

3. Median (Q2):

  - Since there are 9 data points (odd number), the median is the 5th value.

  - Median = 12

4. First Quartile (Q1):

  - The lower half of the data (excluding the median) is: 3, 5, 7, 8

  - Median of this lower half = (5 + 7) / 2 = 6

5. Third Quartile (Q3):

  - The upper half of the data (excluding the median) is: 13, 14, 18, 21

  - Median of this upper half = (14 + 18) / 2 = 16

So, the five-number summary for the example data set is:

- Minimum = 3

- First Quartile (Q1) = 6

- Median (Q2) = 12

- Third Quartile (Q3) = 16

- Maximum = 21

Answer:

A sphere

Step-by-step explanation:

A sphere is a round three dimensional object with no sharp corners or vertexes.  Since a basketball fits this criteria, it is a sphere.

Answer:

4.3

Step-by-step explanation:

Answer:

1) Point A is on 1.40

Change 1.40 to fraction. 1.40 = 1 40/100

Simplify the fraction. Divide common multiples: (40/100)/(20/20) = 2/5

1 2/5 is your answer.

2) Point B is on 1.15

Change 1.15 to fraction. 1.15 = 1 15/100

Simplify the fraction. Divide common multiples: (15/100)/(5/5) = 3/20

1 3/20 is your answer

Find out which one is greater, Point A (1 2/5) or Point B (1 3/20). Change both into a decimal, and compare:

Point A = 1 2/5 = 7/5 = 1.4

Point B = 1 3/20 = 23/20 = 1.15

Point A is greater than Point B

~

Answer:

y³ - 3y² + 1/y+3

Step-by-step explanation:

y² - 9 = (y - 3) ( y + 3)

y-3/(y-3)(y+3) = 1/y+3

Answer:

y^2+1/y^2+3

Step-by-step explanation:

ANSWER

(-2,4] and [7,∞).

EXPLANATION

The domain refers to the interval on which the function is defined.

In the case of the graph, the domain refers to all the x-values for which the graph exists.

The graph is defined for x-values greater than 2 but less than or equal to 4 and

x-values greater than or equal to 7.

In interval notation, we have:

(-2,4] and [7,∞).

The second choice is correct:

Answer:

(-2,4] and [7, infinity)

Step-by-step explanation:

The answer is c.4a4

210. she has 210 ways to choose 6 friends from the list of 10 to sit at the table closest to the head table no matter the order.

This is a problem of combinations and can be solved using the equation [tex]nC_{k}=\frac{n!}{k!(n-k)!}[/tex], where n! and k! is the factorial of a number. The factorial is defined in principle as the product of all positive integers from 1 (ie, natural numbers) to n.

She has a list of 10 friends and we want to know in how many ways she can choose 6 friends.

Using the combinations equation, with n = 10 and k = 6:

[tex]10C_{6}=\frac{10!}{6!(10-6)!}=\frac{10!}{6!(4!)}=\frac{10.9.8.7}{4.3.2.1}=\frac{5040}{24} =210[/tex]

Answer:

you bought a large cheese pizza

with 2 additional toppings on your pizza

Step-by-step explanation:

large cheese pizza = $13.99

Large pizza total = $16.49

each additional topping = $1.25

subtract $13.99 from $16.49

which equals $2.50

now subtract $1.25 from $2.50

which equals $1.25

now if you subtract $1.25 from $1.25

it equals 0

this shows you bought a large cheese pizza

with 2 additional toppings on your pizza

Answer:

Step-by-step explanation:

I am very good at Pythagorean theorem I did it this year. So A=85 E=73 S=37 L=66.5 (or 65) T=82 P=53 D=10 O=89 C=17

To do this it is actually like the easiest thing to do in math. The formula is A²+B²=C². To do this it is easier with a scientific calculator. If you don't have one you can use this online calculator: desmos.com/scientific

Step 1. get the two number and square (²) them ( multiply that number by it) For Example 30 multiplied by 30. Or on the calculator I gave you just do 30²+40²

Step 2. After that you will get 2500. Then on the calculator get this symbol √ and but the number 2500 in front of it. it should look like this. √2500.

Step 3. After that you will get 50 which is your answer. And that is how you do Pythagorean theorem.

I hope that helped you. If you don't have a scientific calculator you can use the link I provided above. If you can't use it I reccomend buying one.

Answer is provided in the image attached.

Answer:  26.67%

Step-by-step explanation:

32 touchdowns divided by 12 interceptions

32/12 = 26.66666%

26.66666 rounds up to 26.67%

Final answer:

The simplified ratio of touchdowns to interceptions that Max threw is 8:3, found by dividing both the number of touchdowns (32) and interceptions (12) by their greatest common divisor, which is 4.

Explanation:

To find the most simplified form of the ratio of touchdowns to interceptions that Max threw, we divide the number of touchdowns by the number of interceptions. Max threw 32 touchdowns and 12 interceptions. To simplify this ratio, we need to find the greatest common divisor (GCD) that both numbers share. In this case, the GCD of 32 and 12 is 4.

Dividing both numbers by the GCD, we get: 32 ÷ 4 = 8 and 12 ÷ 4 = 3. Therefore, the simplified ratio of touchdowns to interceptions is 8:3.

Answer:

Option C - Simplify the right side using the "difference of two logs is the log of the quotient" property.

Step-by-step explanation:

Given : Expression [tex]\ln (x-1)=\ln 6-\ln x[/tex]

To find : What is the first step in solving  the expression ?

Solution :

Expression [tex]\ln (x-1)=\ln 6-\ln x[/tex]

Step 1 - Simplify the right side using the "difference of two logs is the log of the quotient" property.

i.e. [tex]\ln a-\ln b=\ln(\frac{a}{b})[/tex]

Apply the first step we get,

[tex]\ln (x-1)=\ln(\frac{6}{x})[/tex]

Therefore, Option C is correct.

Answer:

A triangle

Step-by-step explanation:

If you slice open all of these shapes you will see a circle except the triangle.

Answer:

A triangle because the other shapes are to do with circles.

Answer A.

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=23.9\\ h=100 \end{cases}\implies V=\cfrac{\pi (23.9)^2(100)}{3} \\\\\\ V=\cfrac{57121\pi }{3}\implies V\approx 59816.97\implies \stackrel{\textit{rounded up}}{V=59817} \\\\[-0.35em] ~\dotfill[/tex]

now, for the second one, we know the diameter is 10, thus its radius is half that or 5.

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ V=225 \end{cases}\implies 225=\cfrac{\pi (5)^2 h}{3}\implies 225=\cfrac{25\pi h}{3} \\\\\\ \cfrac{225}{25\pi }=\cfrac{h}{3}\implies \cfrac{9}{\pi }=\cfrac{h}{3}\implies \cfrac{27}{\pi }=h\implies 8.59\approx h\implies \stackrel{\textit{rounded up}}{8.6=h}[/tex]

1 and 5 are the same angle, so if added together equal 100, then each angle is 50 degrees.

Angle 1 and angle 2 make a straight line which means they need to equal 180 degrees.

Angle 2 = 180 - 50 = 130 degrees.

Answer:

angle 2= 130

Step-by-step explanation:

180-50=130

B is the correct answer.

Look at the picture of it then match it .. the answer is B

Answer:

Eric's weekly salary is $680.77

Step-by-step explanation:

$35,400 divided by the number of weeks in a year, Which is 52. 52/35,400=680.77

Let D = difference between mean and median of data.

Mean = (22 + 8 + 10 + 18 + 12 + 20)/6

Mean = 90/6

Mean = 15

Let m = median

m = 8, 10, 12, 18, 20, 22

m = (12 + 18)/2

m = 30/2

m = 15

D = M - m

D = 15n- 15

D = 0

Answer:

[tex]17.4\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=?\ years\\ P=\$3,000\\ r=0.04\\n=12\\ A=\$6,000[/tex]  

substitute in the formula above  

[tex]\$6,000=\$3,000(1+\frac{0.04}{12})^{12t}[/tex]  

[tex]2=(\frac{12.04}{12})^{12t}[/tex]  

Applying log both sides

[tex]log(2)=log[(\frac{12.04}{12})^{12t}][/tex]  

[tex]log(2)=(12t)log[(\frac{12.04}{12})][/tex]  

[tex]t=log(2)/[(12)log(\frac{12.04}{12})]=17.4\ years[/tex]  

To determine how long it will take for $10,000 to triple with a continuous compounded interest rate of 5.5%, we use the continuous compound interest formula. Solve the equation for t by taking the natural logarithm of both sides and dividing by the interest rate, which yields t = ln(3) / 0.055.

The subject at hand deals with Continuous Compound Interest. The formula used to calculate this is A = Pe^(rt), where A is the final amount, P is the initial principal, r is the yearly interest rate and t is the time in years.

In this case, the initial principal P is $10,000, the final amount (A) we want is $30,000 (because we want to triple the money), and the rate r is 5.5% or 0.055 as a decimal. We want to find t.

Plugging into the formula, we get 30000 = 10000 * e^(0.055t). Dividing both sides by 10000 yields 3 = e^(0.055t). If we take the natural log (ln) of both sides, the equation simplifies to ln(3) = 0.055t. Finally, solving for t, we get t = ln(3) / 0.055.

This will give you the number of years it'll take for the money to triple at an interest rate of 5.5% compounded continuously.

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For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cutoff point with the y axis

[tex]m = \frac {y2-y1} {x2-x1}[/tex]

According to the data we have two points through which the line passes, then we can find the slope:

[tex](x1, y1) = (0,3)\\(x2, y2) = (7,0)[/tex]

[tex]m = \frac {0-3} {7-0} = - \frac {3} {7}[/tex]

Then, the equation is given by:

[tex]y = - \frac {3} {7} x + b[/tex]

We substitute a point to find "b":

[tex]3 = - \frac {3} {7} (0) + b\\b = 3[/tex]

Finally, the equation is:

[tex]y = - \frac {3} {7} x + 3[/tex]

Answer:

[tex]y = - \frac {3} {7} x + 3[/tex]

Answer:

The length is 24, width is 6

Step-by-step explanation:

Since we know the length and width cannot both be 12 (to make 144), other factors of 12 can be tested to be a product of 144. Half of 12 is 6, and 24 * 6 = 144. If we add up 12 + 12 + 6 + 6, we get 60, or the given perimeter.

Hope I helped and please give me brainliest!

The length and width of the rectangle, set up and solve a system of equations based on the given area and perimeter. By factoring the quadratic equation obtained from the area and perimeter formulas, it is determined that the rectangle's width is 12 inches and its length is 18 inches.

The length and width of a rectangle with an area of 144 square inches and a perimeter of 60 inches, we can set up a system of equations using the formulas for area and perimeter of a rectangle, which are Area = length  imes width and Perimeter = 2  imes (length + width), respectively. Let the length be represented by 'l' and the width by 'w'.

Step 1: Set up the equations

Area = l  times w = 144
Perimeter = 2l + 2w = 60

Step 2: Solve the system of equations

First, simplify the perimeter equation to get l + w = 30. Then, express l in terms of w: l = 30 - w. Now substitute l in the area equation: (30 - w)w = 144.

Step 3: Solve the quadratic equation

Expand the equation: 30w - w² = 144.
Rearrange to form: w²- 30w + 144 = 0.
Factoring the quadratic equation gives: (w - 12)(w - 18) = 0.

Step 4: Find w and l

Setting each factor equal to zero gives us two possible widths: w = 12 or w = 18. If w = 12, then l = 30 - w = 18. If w = 18, then l = 30 - w = 12. Since both options give us the same pair of numbers, and a rectangle's sides can be switched without changing its shape, the rectangle's width is 12 inches and its length is 18 inches, or vice versa.

.25 is the answer for you

For this case we have by definition, that the circumference of a circle is given by:

[tex]C = \pi * d[/tex]

Where:

d: It is the diameter of the circle

They tell us that the radius of the circle is 125 meters, then the diameter is 250 meters.

Substituting:

[tex]C=3.14*250\\C=785\m[/tex]

Thus, the circumference of the circle is 785 meters

ANswer:

785 meters

Option B

Answer:

The correct answer is option B.  785 m

Step-by-step explanation:

Points to remember

Circumference of a circle = 2πr

Where r is the radius of circle

To find the circumference of circle

Here r = 125 m and π = 3.14

Circumference = 2πr

 = 2 * 3.14 * 125 = 785 m

The answer is  785 m

Therefore the correct answer is option B.  785 m

Answer:

Dividing two binomials will not always result in a polynomial. For instance, divide (x+2) over (x+3) and we won't get a polynomial. The result is known to be a rational expression but not a polynomial. So that's why division is not closed for polynomials.

Contrast that with addition, subtraction and multiplication. For any of those operations taking two polynomials and adding them, subtracting them, or multiplying them will lead to another polynomial. That's why these operations are closed for polynomials.

~ Therefor the answer is B.

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Answer:

The answer will Be B

Step-by-step explanation:

Answer:

3(x+6)

Step-by-step explanation:

3x+18

Both the 3 and the 18 are multiples of 3, so factor out a 3

3(x+6)