5 hours on Monday, 4.5 hours on Tuesday, and 2.5 hours on Wednesday. What is the mean number of hours she worked over the three-day period?

Applying the inscribed angle theorem, the missing angles are:

Based on the inscribed angle theorem, we have the following relationships:

Given the following:

Find m(RS):

m(RS) = 180 - m(RU)

Substitute

m(RS) = 180 - 50

m(RS) = 130°

Find m∠RUS:

m∠RUS = 1/2(m(RS) [inscribed angle theorem]

Substitute

m∠RUS = 1/2(130)

m∠RUS = 65°

Find m∠UST:

m∠UST = 1/2(m(UT))

Substitute

m∠UST = 1/2(30)

m∠UST = 15°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/3538263

Answer:

q = ± [tex]\sqrt{\frac{p}{2} }[/tex]

Step-by-step explanation:

Given

p = 2q² ( divide both sides by 2 )

[tex]\frac{p}{2}[/tex] = q² ( take the square root of both sides )

± [tex]\frac{p}{2}[/tex] = q

Answer:

q = +√p/2

Step-by-step explanation:

p = 2q²

divide both sides by 2 and root we get,

√p/2 = √2q²/2

√p/2 = q

q = +√p/2

Thus, q = +√p/2

-TheUnknownScientist

Answer:

3/12 + 8/12

11/12

Step-by-step explanation:

Answer:a and b

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Remember: 5 or more-> Rounds up, Less than 5-> Rounds down

A. Incorrect, would round down to 470,000 due to it being 472 in the thousands place

B. Correct, would round up to 480,000 due to it being 476 in the thousands place

C. Correct, would round down to 480,000 due to it being 482 in the thousands place

D. Incorrect, would round up to 490,000 due to it being 485 in the thousands place

E. Incorrect, would round up to 490,000 due to it being 487 in the thousands place

Hope it helped! (:

Answer:

c

Step-by-step explanation:

Answer:

hi! the mixed number would be [tex]2\frac{1}{7}[/tex]

Step-by-step explanation:

a remainder can be written as 1/the divisor

Answer:

it is D

Step-by-step explanation:

Answer:

57 degrees.

Step-by-step explanation:

180 - 123 = 57.

Answer:

im pretty sure its 57

Step-by-step explanation:

Also love your profile picture

Answer:

N=47.3

Step-by-step explanation:

hope it helps.I have minused90 because that is a 90 degree angle

Answer:

d = 100

Step-by-step explanation:

0.1d + 0.25(10) = 12.5

0.1d + 2.5 = 12.5

0.1d + 2.5 - 2.5 = 12.5 - 2.5

0.1d = 10

0.1d × 10 = 10 × 10

d = 100

Answer:

Step-by-step explanation:

d+q ≤  16

She can have 16 or less than 16 coins (dimes and quarters) but no more than 16 coins

Answer:

Graphically.

Step-by-step explanation:

We have the equations:

(x + 6)^2 = -12*(y + 2)

(x^2/81) + (y^2/100) = 1

First, we can see that the second one is an ellipse, and we can write it as:

(x/9)^2 + (y/10)^2 = 1

This adds some complexity to our problem.

The first equation is just a quadratic equation, that we can write in standard form as:

y = (x^2 + 12*x + 36)/(-12) - 2

y = (-1/12)*x^2 - x - 5

Then our two equations are:

(x/9)^2 + (y/10)^2 = 1

y = (-1/12)*x^2 - x - 5

This is actually really hard to solve analytically, we may end with a quartic equation or something like that (this happens for the nature of the ellipse equation)

So now that we have two rather simple equations that we know how to graph (or that we can just input the equations in a program and graph them) we can find the intersections visually.

You can see the graph of this below:

Of course, this only works to find estimations for the intersections, where one intersection is (3.35, -9.28) and the other is at (-8.69, -2.6)

Given:

The given function is:

[tex]f(x)=11x-11[/tex]

To find:

The value of [tex](f\circ f^{-1})(-11)[/tex].

Solution:

We have,

[tex]f(x)=11x-11[/tex]

First we have to find the inverse of this function.

Putting f(x)=y, we get

[tex]y=11x-11[/tex]

Interchange x and y.

[tex]x=11y-11[/tex]

Isolate the variable y.

[tex]x+11=11y[/tex]

[tex]\dfrac{x+11}{11}=y[/tex]

[tex]y=\dfrac{x+11}{11}[/tex]

Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\dfrac{x+11}{11}[/tex]

Now,

[tex](f\circ f^{-1})(-11)=f(f^{-1}(-11))[/tex]

[tex](f\circ f^{-1})(-11)=f\left(\dfrac{-11+11}{11}\right)[/tex]        [tex]\left[\because f^{-1}(x)=\dfrac{x+11}{11}\right][/tex]

[tex](f\circ f^{-1})(-11)=f\left(\dfrac{0}{11}\right)[/tex]

[tex](f\circ f^{-1})(-11)=f\left(0\right)[/tex]

The given function is [tex]f(x)=11x-11[/tex].

[tex](f\circ f^{-1})(-11)=11(0)-11[/tex]

[tex](f\circ f^{-1})(-11)=-11[/tex]

Therefore, the value of [tex](f\circ f^{-1})(-11)[/tex] is [tex]-11[/tex]. Hence the correct option is A.

Answer:

Step-by-step explanation:

If rounded up,

Answer:

The answer is "10 and 40".

Step-by-step explanation:

[tex]\to f + 5 = 3(s + 5) = 3s + 15\\\\\to f - 5 = 7(s - 5) = 7s - 35\\\\[/tex]

Subtracting the equations to get

[tex]\to 10 = -4s + 50\\\\\to -40 = -4s\\\\\to s = \frac{40}{4} \\\\\to s=10\\\\\to f = 40\\\\[/tex]

So the Son age is 10, and the father's age is 40.

Answer:

5.76

Step-by-step explanation:

4.80×.20=0.96

4.80+0.96=5.76

x≥−7. hope this helps you good luck

Answer:

(2, 8)  and (3, 11)    --- > For example

Step-by-step explanation:

Plug in any number for x

I will use 2.

So if the equation is y = 3x + 2, then the new equation will be ...

y = 3(2) + 2

y = 6 + 2

y = 8     ----> One coordinate can be (2, 8)

Another number you could use is 3.

y = 3(3) + 2

y = 9 + 2

y = 11    ----> Another coordinate may be (3, 11)

Answer:

(just took the test)

Answers for entire quiz on EDGE for "Writing Linear Equations":

C. y = 1/4x+2

A. y=12x+8

C. y=x+2

B. c(x) = 6x + 3

A. k – 2 = 1/9(t – 18)

A. y=-5/8x+6

C. 5

A. y = x + 3

C. 2x + 5y = –15

B. y + 13 = 5(x + 2)

hope this helps y'all!

The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex]

The equation of a line that passes through points (8, 4) and (0, 2) is .

The equation of the line in Slope-Intercept form is:

                     y = mx + b            ( m - slope)

The equation of the line slope intercept is-

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

Now compare equation 1 from y = mx + b

   So,        m = 1/4       &  b = 2

Therefore, The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex] .

Learn more about slope brainly.com/question/12109165

#SPJ2

Answer:

126

Step-by-step explanation:

Answer:

area = 147.03 cm²

Step-by-step explanation:

area =16.9 x 8.7 = 147.03 cm²

Answer:

147.03cm

Step-by-step explanation:

A parallelogram is just a tilted rectangle, so it uses the same formula, base times height.

This would be 8.7 × 16.9

 87 × 169 = 14703

move the decimal to get

8.7 × 16.9 = 147.03

the area of the shape is 147.03 cm, don't forget the cm sign!

good luck my friend :D

-cheesetoasty

Answer:

i think c

Step-by-step explanation:

Answer:

253,276,311,363    293.5 is the mdien.

Step-by-step explanation:

Answer:

293.5

Step-by-step explanation:

Least to greatest: 253, 276, 311, 363

Median = middle

If there are two middle numbers find the mean of the two numbers.

276 + 311 = 587

587/2 = 293.5

Hope this helps!! Have a great day and remember, you are loved.

Answer: square root(265)

Step-by-step explanation:

Again, you can solve this via the Pythagorean theorem(a^2+b^2=c^2)

a= a side

b= another side

c= hypotenuse

Now, Substitute

12^2+11^2=x^2

144+121= 265

Now, square root  and you get

square root(265)

Answer:

375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars

Bag of potato = 45 cent

Candy = 60 cents

Step-by-step explanation:

375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars

3p + 4b = 375 - - (1)

4p + 2b = 300 ---(2)

From (2)

4p = 300 - 2b

p = 75 - 0.5b

Put b = 75 - 0.5b

3(75 - 0.5b) + 4b = 375

225 - 1.5b + 4b = 375

225 + 2.5b = 375

2.5b = 375 - 225

2.5b = 150

b = 150 / 2.5

b = 60

3p + 4(60) = 375

3p + 240 = 375

3p = 375 - 240

3p = 135

p = 45

Bag of potato = 45 cent

Candy = 60 cents

Answer:

x= 45

I hope it's helps you