Solve for the value of n

The equation of the central street PQ is  -1.5x - 3.5y = -31.5 option (b) is correct.

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

[tex]-7x+3y=-21.5[/tex]  

Convert it to the general form given below:

[tex]\rm y=mx+c[/tex]

[tex]\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x[/tex] or

[tex]\rm y = \frac{7}{3}x-\frac{21.5}{3}[/tex]

[tex]m = \frac{7}{3}[/tex]   (Slope of AB line)

For the slope(m') of the PQ line:

[tex]\rm m'=-\frac{1}{m}[/tex]    ( because AB and PQ are perpendicular to each other)

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

We know the:

[tex]\rm (y-y')=m'(x-x')[/tex]

Where (x', y') = (7, 6), we get:

[tex]\rm (y-6)=-\frac{3}{7} (x-7)[/tex]

[tex]\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63[/tex]

[tex]\rm -1.5x-3.5y=-31.5[/tex]   (multiply by -1/2 on both sides)

Thus, the equation of the central street PQ is  -1.5x - 3.5y = -31.5

Learn more about the straight line.

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The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

For this case, we're provided that:

The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)

It is compounding monthly, thus, 12 times a year, or n = 12

The initial amount that the credit card of Victor has = p = $1349.34

Time for which interest was compounded = a year = 1 = t

Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)[/tex]

Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

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Answer:

C

Step-by-step explanation:

I took the test and passed with 100

Answer:

x=4

Step-by-step explanation:

6x+3 = 27

Subtract 3 from each side

6x+3-3=27-3

6x = 24

Divide each side by 6

6x/6 = 24/6

x = 4

Answer:

x=4

Step-by-step explanation:

6x+3=27

6x=24

x=4

Answer:

It is irrational

Step-by-step explanation:

Hope that helps!

Answer:

x=6.6

Step-by-step explanation:

13:5=x:3

33=5x

33/5=x

6.6=x

Answer:

15.16047 cm

Step-by-step explanation:

notice that the smaller triangles ratio is 3 : 5

so the bigger triangle's bottom side has length 13 cm

so lets multiply 13 by (3/5)

we get 7.8

we can just use pythagorean theorem to find AB

[tex]\sqrt{x} = 7.8^{2} + 13^{2}[/tex]

15.16047 cm

Using it's concept, it is found that there is a There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the possible outcomes for the pair of dice are given by:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

We want to find the probability that the sum is less than 8 if the first die(the pink one) shows a number less than 4.

There are 18 total outcomes in which the pink die is less than 4, and in 3, the sum is less than 4, hence:

p = 3/18 = 1/6 = 0.1667.

There is a 0.1667 = 16.67% probability that the sum is less than 8 if the pink die shows a number less than 4.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

9.4 cm

Step-by-step explanation:

pi*diameter=circumference

3.14159*3=9.42478

round to nearest millimeter

9.4 cm

Answer:

x2-y2=49

Step-by-step explanation:

the radius is the square root of the number after the equal sign.  So the only choice with a number with square root 7 is x2-y2=49

The expression that represents waste reduction is w - 0.35x.

The paper waste produced now is 5.2 pounds per month.

The exression that represents waste production is the total amount of waste generated less athe reduction in waste.

w - 0.35x

Waste now produced = 8 - 0.35 x 8 = 5.2 pounds

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Answer: 718 in^2.

Step-by-step explanation: To find the volume of a cone, you use the following equation:

V = π x r^2 x h x 1/3, where π is approximately 3.14, r^2 is the radius of the cone squared, h is the cone's height, and V is the volume of the cone.  Since a cone's volume is one-third of a cylinder's, that's why we multiply by 1/3, in case you're confused about where the 1/3 comes from.

Now, we substitute the following so we can solve this problem:

V ≈ 3.14 x 7^2 x 14 x 1/3.

Now that we've filled in the following, we can solve it:

Therefore your answer is 718.01333333 in^2 or rounded to the nearest whole number is 718 in^2.

Let me know if this is right! :)

Answer:

[tex]\sf y= \dfrac{1}{2}x-5[/tex]

Explanation:

slope:

[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{-2--5}{6-0}[/tex]

[tex]\rightarrow \sf \dfrac{1}{2}[/tex]

equation in slope intercept form:

[tex]\sf y= \dfrac{1}{2}x-5[/tex]

Answer:

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

Step-by-step explanation:

Slope-intercept form: y = mx + b

m = slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To find slope, we use points on the line.

Here, I will be suing (-6, -8) and (8, -1)

[tex]m=\frac{1-(-8)}{8-(-6)} \\\\m=\frac{-1+8}{8+6} \\\\m=\frac{7}{14}\\\\m=\frac{1}{2}[/tex]

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

[tex]y=\frac{1}{2} x+b\\[/tex]

Now, we use either of our points (-6, -8) OR (8, 1) to find b.

I will be using (8, -1):

[tex]y=\frac{1}{2}x+b\\\\-1=\frac{1}{2}(8)+b\\\\-1=4+b\\\\-4-4\\\\-5=b[/tex]

[tex]y=\frac{1}{2}x+b== > y=\frac{1}{2}x-5[/tex]

Check your answer manually: (-6, -8)

[tex]y=\frac{9}{14}x-\frac{29}{7}\\\\-8=\frac{9}{14}(-6)-\frac{29}{7}\\\\-8=\frac{9}{7}(-3)-\frac{29}{7}\\\\-8=-\frac{27}{7}-\frac{29}{7}\\\\-8=-\frac{56}{7}\\\\-8=-8[/tex]

This statement is correct.

*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*

Hope this helps!

Answer: sqrt(182)

Step-by-step explanation:

Step-by-step explanation:

In the second column, we can see that every value of n is being added by 6.

Now, let's substitute the value of n in each column to verify each column. Then, using the expression, let's find the value of n + 6 where n = 28.

When n is 12:

When n is 15:

When n is 21:

Thus, the expression is proven correct. Now, let's find n + 6 when n is 28.

Finding n + 6 when n is 28:

Thus, the missing value in the table is 34.

[tex]\huge\underline\mathtt\colorbox{cyan}{37✅✅✅}[/tex]

Step-by-step explanation:

Answer:

all real numbers

Step-by-step explanation:

the domain for normal linear and quadratic equations is always all real numbers

Answer:

[tex]7x + 3 \\ [/tex]

Step-by-step explanation:

All sides in an equilateral triangle are equal so factor out three and you are left with the length of each side.

[tex]3(7x + 3)[/tex]

Answer:

The coefficient of the quadratic term ,a,determines how wide or narrow the graphs are, and

weather the graph turns upward or downward

Step-by-step explanation:

this is your answer

Answer:

About 113,097.34 units

Step-by-step explanation:

           The volume of a sphere can be found with the equation V = [tex]\frac{4}{3}[/tex]πr³ when r is the radius.

V = [tex]\frac{4}{3}[/tex]πr³

V = [tex]\frac{4}{3}[/tex]π(30)³

V ≈ 113,097.34 units

Answer:

9.09

Step-by-step explanation:

[tex]\frac{0.81}{0.09} + \frac{0.81}{9}[/tex]

= 9 + [tex]\frac{0.81}{9}[/tex]

= 9+ 0.09

= 9.09

I hope this helped!! If so please rate and mark brainliest <3!!

Answer:

The area of a triangle is 14 cm square.

Step-by-step explanation:

Given : The expression  gives the area of a triangle where b is the base of the triangle and h is the height of the triangle.

To find : What is the area of a triangle with a base of 7 cm and a height of 4 cm?

Solution :

The area of triangle is  

Where,b is the base b=7 cm

and h is the height h=4 cm.

Substitute in the expression,

Therefore, The area of a triangle is 14 cm square.

Answer:

-3.274

Step-by-step explanation:

attached

Hopes this helps

{please mark me brainiest}

Answer:

Hope this helps :-)

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

2b+3b-b-7+4+3

4b

I hope this answered it

Answer:

72 degrees

Step-by-step explanation:

all triangles have angles adding up to 180

that does not look like a right triangle

only possible answer is 72

Answer:

angle U = 72°

Step-by-step explanation:

The sum of the internal angles in a pentagon is 540°

[tex]x^{o} +(2x)^{o} +(2x)^{o} +90^{o}+90^{o} =540^{o}[/tex]

[tex](5x)^{o} =540^{o} -180^{o}[/tex]

[tex]x^{o} =\frac{360^{o} }{5} =72^{o}[/tex]

Hope this helps

Answer:

5.9 or 5.85 unrounded

Step-by-step explanation:

please mark me as brainlest

Answer:

x = 51

Step-by-step explanation:

If the mean = 11.5, then that means all numbers added together divided by four = 11.5. Let's write this algebraically:

[tex]\frac{12.5+(-10)+(-7.5)+x}{4}=11.5[/tex]

Now, let's solve for x:

[tex]12.5-10-7.5+x=11.5(4)[/tex]

[tex]-5+x=46[/tex]

[tex]x=51[/tex]

I hope this helps!

Answer:

5/6

Step-by-step explanation:

it comes out originally like 10/12 but if your simplify it it's 5/6

Answer:5/6

Step-by-step explanation: 12-2 =10 so 10/12 which simplifies to 5/6

Answer:

Step-by-step explanation:

congruent sides

Answer:

soIve the congcreunt sides

Step-by-step explanation:

then ask ur parents

Step-by-step explanation:

The answer should be 578mi²