PLEASE BE QUICK!!! 15 POINTS!!! What is the area of the triangle QRS?

_______ square units

Answer:

-6 I think

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The number of possible lunch combinations of sandwich and juice are 9.

If we have to choose r objects out of n objects and then arrange them among themselves, then we first choose the objects in ⁿCr ways and then arrange them in  ways.

This can be used to find the number of different combinations possible of the sandwiches and juices.

Ways to select the sandwiches from 3 options = ³C₁ = 3!/1!(3-1)!

Ways to select the juice from 3 options = ³C₁ = 3!/1!(3-1)!

= ³C₁ = 3!/1!(3-1)!

Now, the total types of possible lunch combinations that can be created as  3×3=9

Hence, the number of possible lunch combinations of sandwich and juice are 9.

To learn more about the permutation and combination visit:

https://brainly.com/question/28065038.

#SPJ2

Answer: Second option.

Step-by-step explanation:

The square root of a number "x" is a number "b" that multiplied by itself is "x":

[tex]b*b=x[/tex]

We know that the square root of 16 is 4 ([tex]\sqrt{16}=4[/tex]) because:

[tex]4*4=16[/tex]

Then [tex]\sqrt{13}[/tex] should be less than 4.

We know that the square root of 9 is 3 ([tex]\sqrt{9}=3[/tex]) because:

[tex]3*3=9[/tex]

Then [tex]\sqrt{13}[/tex] should be greater than 3.

Therefore, the value of  [tex]\sqrt{13}[/tex] is between 3 and 4.

This matches with the second option.

Hello Brainly Student! Your answer is 3 and 4! Hope this helped!!

Answer:

$36.75

Step-by-step explanation:

Answer: the sales tax alone is $36.75

the above ground pool with the sales tax is 561.75

Step-by-step explanation:

525x.07 =36.75

525x1.07=561.75 or another way you could do it is 525+36.75=561.75

None.

Distribute the 3 to the (x + 4) to get 3x + 12.

Subtract 3x from both sides to get 12 = 4.

This is not true, so there are no solutions.

Answer:

C

Step-by-step explanation:

[tex] \frac{ - 1}{3} \times a = -1[/tex]

then

[tex]a = 3 \: where \: a \: is \: our \: line \: slope[/tex]

Answer:

[tex]\boxed{\text{C. } y - 2 = 3(x - 6)}[/tex]

Step-by-step explanation:

The slope of the perpendicular line m₂ must  be the negative reciprocal of the slope m₁ of the first line.

[tex]m_{2} = -\dfrac{1}{m_{1}} = -\dfrac{1}{-\frac{1}{3}} = 3[/tex]

The only equation with m = 3 is  

[tex]\boxed{\textbf{C. } y - 2 = 3(x - 6)}[/tex]

This is the point slope form of the equation for a straight line through (6, 2) with slope = 3.

Answer:

A. 6

Step-by-step explanation:

f(x) = x² − 12x + 7

To complete the square, we first factor the leading coefficient to make it 1 (which it already is).

Then, we take half the second coefficient, square it, and then add to both sides.  So (-12/2)² = (-6)² = 36.

f(x) + 36 = x² − 12x + 36  + 7

Then we factor the perfect square:

f(x) + 36 = (x − 6)² + 7

Then solve for f(x) by subtracting and simplifying:

f(x) = (x − 6)² + 7 − 36

f(x) = (x − 6)² − 29

So the value of a is 6.

Answer:

Step-by-step explanation:

[tex]\text{De}\text{finition of logarithm:}\\\\\log_ab=c\iff a^c=b\\\\\text{where}\ a>0\ \wedge\ a\neq1\ \wedge\ b>0\ \wedge\ c\in\mathbb{R}\\===========================\\\\\log_2n=4\iff n=2^4\\\\n=16[/tex]

Answer:

I don't know what answers you were given to your problem but I think the answer is

D) log n =4log2

Sorry if I got it wrong.

Answer: Option B

2 is NOT in the domain of f ° g

Step-by-step explanation:

First we must perform the composition of both functions:

If [tex]g(x) = \sqrt{x-9}[/tex] and not [tex]\sqrt{x} -9[/tex]

[tex]f (x) = 4x + 3\\\\g (x) = \sqrt{x-9}\\\\f (g (x)) = 4 (\sqrt{x-9}) + 3[/tex]

The domain of the composite function will be all real numbers for which the term that is inside the root is greater than zero. When x equals 2, the expression within the root is less than zero

[tex]f (g (x)) = 4 (\sqrt{2-9}) + 3\\\\f (g (x)) = 4 (\sqrt{-7}) + 3[/tex]

The root of -7 does not exist in real numbers, therefore 2 does not belong to the domain of f ° g

The answer is Option B.

Note. If   [tex]g(x) = \sqrt{x}-9[/tex]

So

[tex]f(g(x)) = 4(\sqrt{x})-36 + 3[/tex]   And  2 belongs to the domain of the function

Answer:

[tex](-7x^2+3)(x-3)[/tex]

Step-by-step explanation:

We can take "common" from first 2 terms and common from next 2 terms. Shown below:

[tex]-7x^3+21x^2+3x-9\\-7x^2(x-3)+3(x-3)\\(-7x^2+3)(x-3)[/tex]

That's how we do it. We can't simplify, or factor, any further.

All triangles equal 180 degrees.

The answer is 180 degrees.

T o find the median if there are two numbers in between find the mean or the average. To do that add up the 2 middle numbers then divide by 2 that's your median

Answer:

[tex]96\ basketballs[/tex]

Step-by-step explanation:

step 1

Find the volume of the cylinder (hollow drum)

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]h=48\ in[/tex]

[tex]r=24\ in[/tex]

substitute

[tex]V=\pi (24)^{2} (48)[/tex]

[tex]V=27,648\pi\ in^{3}[/tex]

step 2

Find the volume of one basketball

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=6\ in[/tex]

substitute

[tex]V=\frac{4}{3}\pi (6)^{3}[/tex]

[tex]V=288\pi\ in^{3}[/tex]

step 3

Find the maximum number of basketballs that the cylindrical drum contains

so

Divide the volume of the cylinder by the volume of one basketball

[tex]27,648\pi/288\pi=96\ basketballs[/tex]

Answer:

113.09733552923 in2

Step-by-step explanation:

The leash is basically the radius. If the radius is 6...

If you find the area of the circle using the formula πr square. π=3.14. you can do the rest.

Answer:

Option B f(x) = x + 1

Step-by-step explanation:

The given points are

x        y        Relationship (x & y)

-2      -1        -2 + 1 = -1      

0        1         0 + 1 = 1    

1        2          1 + 1 = 2    

3       4          3 + 1 = 4    

5       6          5 + 1 = 6

As we can see the difference in x and y values of each ordered pairs is one

Therefore, relationship between x & y that can be represented by y = x + 1

Option B f(x) = x + 1 is the answer.

Answer:wazz up

Step-by-step explanation:

yooo what’s up dude

Answer:

No correlation

Step-by-step explanation:

With the information provided, we have to conclude there is no correlation, since there is no apparent link between the two information.

It would be a positive correlation for example if we knew that the more apples Juan eats, the more he sleeps (or vice-versa).

It could be a negative correlation if we found that the more apples he eats, the less hours of sleep he has (or vice-versa).

But in this instance, we don't have any data indicating there is any form of correlation between those two numbers.

Answer:

3n+21

Step-by-step explanation:

3 × n =3n

3 × (+7) = +21

Answer:

Use distributive property.

3(n+7),

3*n + 3*7=

3n + 21

Hope this helps and have a great day!

ANSWER

C

E

F

EXPLANATION

The result of the synthetic division is :

3 -1 0

The last number is the remainder which is 0

The first two numbers are the coefficients of the quotient.

Therefore the quotient is 3x -1

Since the remainder is 0, x-4 is a factor of

[tex]f(x) = 3 {x}^{2} - 13x + 4[/tex]

This also means that:

[tex](3 {x}^{2} - 13x + 4) \div (x - 4) = 3x - 1[/tex]

This again means that x=4 is a root of

[tex]f(x) = 3 {x}^{2} - 13x + 4[/tex]

The correct choices are C,E and F.

Answer:

A) −13

Step-by-step explanation:

(x + 6)^2 = 49

Take the square root of each side

sqrt((x + 6)^2) = ±sqrt(49)

x+6 = ±7

Subtract 6 from each side

x+6-6 = -6  ±7

x =-6  ±7

Separating into 2 parts

x = -6+7          x = -6-7

x = 1               x = -13

Answer:

B

Step-by-step explanation:

Corresponding angles are not always congruent

Corresponding angles are congruent.

Answer is B.

The area of the square is 36 squared inches, because it is a square with a side of 6 inches.

The two semicircles have a radius of 3 inches. If we subtract their areas from the area of the square, we have

[tex]36-2\left(\dfrac{\pi\cdot 3^2}{2}\right) = 36-9\pi[/tex]

The shaded region is half of this area, so the answer is

[tex]\dfrac{36-9\pi}{2} \approx 7.7[/tex]

36 minus 9 multiplied by Pi . Then divide that answer by 2 to get 7.7

Answer:

The variation equation is

[tex] f = \frac{k.m_1.m_2}{ {r}^{2} } [/tex]

step-by-step explanation:

From the question, the two masses are

[tex]m_1 \: and \: m_2[/tex]

This implies that the product of the two masses

[tex] = m_1 \times m_2 = m_1.m_2[/tex]

Moreover, the force,f varies directly with the products of the two masses

[tex] \implies \: f\propto m_1.m_2....eqn.1[/tex]

Also, the force varies inversely with the square of the distance,r

[tex] \implies \: f\propto \frac{1}{ {r}^{2} }.......eqn.2[/tex]

Joining equation 1 and 2, we got

[tex] \implies \: f\propto \frac{1}{ {r}^{2}} \times m_1.m_2[/tex]

[tex] \implies \: f \propto\frac{m_1.m_2}{ {r}^{2}}[/tex]

But the constant of variation is k

Multiplying the right hand side of the equation by k, we got

[tex] \implies \:f=\frac{k.m_1.m_2}{ {r}^{2}}[/tex]

Answer:

[tex] x = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]   and   [tex] y = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]

[tex] x = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]   and   [tex] y = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]

Step-by-step explanation:

Let the numbers be x and y.

We now have a system of equations.

x + y = 5

xy = -3

Solve the second equation for x.

x = -3/y

Now substitute x in the first equation with -3/y.

-3/y + y = 5

Multiply both sides by y.

-3 + y^2 = 5y

y^2 - 5y - 3 = 0

Use the quadratic formula to solve for y.

[tex] y = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] y = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4(1)(-3)}}{2(1)} [/tex]

[tex] y = \dfrac{5 \pm \sqrt{25 + 12}}{2} [/tex]

[tex] y = \dfrac{5 \pm \sqrt{37}}{2} [/tex]

[tex] y = \dfrac{5 + \sqrt{37}}{2} [/tex]   or   [tex] y = \dfrac{5 - \sqrt{37}}{2} [/tex]

[tex] y = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]   or   [tex] y = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]

We get 2 solutions for y. Now for each solution for y, we need to find a corresponding solution for x.

Solve the first equation for x.

x + y = 5

x = 5 - y

Substitute each y value to find the corresponding x value.

[tex] x = 5 - (\dfrac{5}{2} + \dfrac{\sqrt{37}}{2}) [/tex]

[tex] x = 5 - \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]

[tex] x = \dfrac{10}{2} - \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]

[tex] x = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]

This give one solution as:

[tex] x = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]   and   [tex] y = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]

Now we substitute the other y value to find the other x value.

[tex] x = 5 - (\dfrac{5}{2} - \dfrac{\sqrt{37}}{2}) [/tex]

[tex] x = 5 - \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]

[tex] x = \dfrac{10}{2} - \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]

[tex] x = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]

This give the second solution as:

[tex] x = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]   and   [tex] y = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]

Answer:

C. 9P6

Step-by-step explanation:

Given choices are :

A. 8P5

B. 9P1

C. 9P6

D.8P1

Now we need to find about which below is largest when evaluated.

So let's evaluate them using formula:

[tex]nPr=\frac{n!}{\left(n-r\right)!}[/tex]

[tex]8P5=\frac{8!}{\left(8-5\right)!}=\frac{8!}{\left(3\right)!}=6720[/tex]

[tex]9P1=\frac{9!}{\left(9-1\right)!}=\frac{9!}{\left(8\right)!}=9[/tex]

[tex]9P6=\frac{9!}{\left(9-6\right)!}=\frac{9!}{\left(3\right)!}=60480[/tex]

[tex]8P1=\frac{8!}{\left(8-1\right)!}=\frac{8!}{\left(7\right)!}=8[/tex]

Largest value among those numbers is 60480.

Hence correct choice is C. 9P6

The value of the expression for 121 is 11

I believe I did this correctly. Comment to tell me if I didn't.

__________________________________

I got infinite solutions.

For the second problem, I subtracted 9 from both sides. Then I divided them all by -1. They are the same equations.

ANSWER

b) infinite solutions

EXPLANATION

The given system is:

x=3y+9 ...(1)

9-x=-3y...(2)

Put equation (1) into equation (2)

This implies that,

9-(3y+9)=-3y

Expand the parenthesis,

9-3y-9=-3y

-3y=-3y

1=1

This implies that, that the system has infinitely many solutions.

Answer:

the answer is 2.9 x 10^0 and 3.2 x 10^-2

Step-by-step explanation:

10^0 is equal to 1 so 2.9 x 10^0 is really 2.9 times 1 which is less than 3

if i could get brainliest answer that would be great!

10^-2 is a exponential that makes a number go down so 3.2 going down is less than 3

Answer:

C and D

Step-by-step explanation:

A.   2.9 × 10¹ = 2.9 × 10     = 29

B.  3.2 × 10³ = 3.2 × 1000 = 3000

C.  2.9 × 10⁰ = 2.9  × 1      = 2.9

D. 3.2 × 10⁻² = 3.2 × 0.01 = 0.032

Both C and D have values less than 3.

Answer:

n = 4, m = 1

Step-by-step explanation:

Given the 2 equations

3m + n = 7 → (1)

m + 2n = 9 → (2)

Rearrange (2) expressing m in terms of n, by subtracting 2n from both sides

m = 9 - 2n → (3)

Substitute m = 9 - 2n into (1)

3(9 - 2n) + n = 7 ← distribute left side

27 - 6n + n = 7 ← simplify left side

27 - 5n = 7 ( subtract 27 from both sides )

- 5n = - 20 ( divide both sides by - 5 )

n = 4

Substitute n = 4 into (3) for corresponding value of m

m = 9 - (2 × 4) = 9 - 8 = 1

Thus m = 1 and n = 4

r1 = -12 and r2 = 12

[tex]\bf 40\pi =\cfrac{5}{18}\pi r^2\implies 40\pi =\cfrac{5\pi r^2}{18}\implies 720\pi =5\pi r^2\implies \cfrac{720\pi }{5\pi }=r^2 \\\\\\ 144=r^2\implies \sqrt{144}=r\implies 12=r[/tex]