Tawny wrote an expression to represent “the quotient of 82 and a number, decreased by 26.” She then evaluated the expression when n = 2. Which statements are true about the expression and its value? Check all that apply.
The correct expression is 82 minus StartFraction 24 Over n EndFraction.
To evaluate the expression, subtract 26 from the quotient.
To evaluate the expression, subtract the quotient from 82.
The correct expression is StartFraction 82 Over n EndFraction minus 26.
The operations include division and subtraction.
To evaluate, substitute 24 for the variable in the equation.
The value of the expression is 15.

The absolute value equation that can be used to find the minimum and maximum radius accepted is:

A. |r - 1.25| = 0.1.

The absolute value function is defined as follows:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

It measures the distance of a point x to the origin.

In this problem, the absolute value of the difference between the radius and 1.25 cm must be of 0.1 to find the thresholds, hence the equation is:

A. |r - 1.25| = 0.1.

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Answer:

15, 20, 25

Step-by-step explanation:

added in the picture

Answer:

eather a 5:7 or c 3:4

Step-by-step explanation:

i rlly do hope this helps and good luck

Answer: 8:19 ✅

Step-by-step explanation:

Hii, let me help you out! ^^

First we should find the total number of students. This can be done by adding the number of boys in this particular math class plus the number of girls in that same class. This is shown below.

[tex]\boldsymbol{Number\;of\,students=\quad Number\;of\;Girls+\;Number\;of\;boys}[/tex]

The number of girls is 11, and the number of boys is 8. Now, it's just a matter of sticking in the known values.

[tex]\multimap\quad \tt 8+11=19\;Students[/tex]

[tex]\large\text{Part 1 is Successfully Completed!}[/tex]

Let's set up a ratio of boys to the total number of students.

This is shown below:

[tex]\boldsymbol{Boys:Total\:\#\;of\;students}[/tex]

Once again, this is simply a matter of sticking in the known values.

[tex]\multimap\quad \tt 8:19[/tex]

[tex]\large\text{Part 2 is Successfully Completed!}[/tex]

Voila! There's our answer, cheers! (:

Hope I helped! Best wishes.

Reach far. Aim high, Dream big.

[tex]\underbrace[/tex]

Answer:

Trend pattern

Answer:

yes your eqation is correct...

Answer:

5

Step-by-step explanation:

Look at one of the coordinates to find k. For this example I'll look at the y-intercepts (0, 3) (for g(x)) and (0, -2) (for f(x))

g(0) = 3

g(0) = f(0) + k

3 = -2 + k

5 = k

Step-by-step explanation:

The square root of √9.9225. is 315.

See the decimal places

therefore S,Q,R,T of 9.9225 is 31.5 and 9.9225 is 3.15.

Hence the sum, is (31.5+3.15)= 34.65.

Answer- Value- 315

Sum-34.65

If you can can i get a brain list i don't ever get them

I think the answer is 90in.

In a case whereby the face of a suitcase measures 24 inches long and 18 inches wide the diagonal length of the face is 30 in.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

The suitcase measures 24 inches long and 18 inches wide

Using Pythagoras theorem,

The diagonal =[tex]\sqrt{18^{2} + 24^{2} }[/tex]

= [tex]\sqrt{900}[/tex]

=30 in.

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Answer:

2 = 3 = 4 = 4

Answer: 98

Given following:

[tex]\Longrightarrow \sf x = \dfrac{\sqrt{3} +\sqrt{2} }{\sqrt{3} - \sqrt{2} }[/tex]

[tex]\Longrightarrow \sf y = \dfrac{\sqrt{3} -\sqrt{2} }{\sqrt{3} + \sqrt{2} }[/tex]

Solve for x² + y²:

[tex]\rightarrow \sf \left(\:\dfrac{\sqrt{3}\:+\sqrt{2}\:\:}{\sqrt{3}\:-\:\sqrt{2}\:}\right)^2\:+\:\left(\dfrac{\sqrt{3}\:\:-\sqrt{2}\:\:}{\sqrt{3}\:+\:\sqrt{2}\:\:}\:\right)^2[/tex]

simplify following

[tex]\rightarrow \sf 49+20\sqrt{6}+49-20\sqrt{6}[/tex]

add/subtract similar terms

[tex]\rightarrow \sf 98[/tex]

Answer:

lets make this like a table

x   y

3=21

4=28

5=35

so since y is bigger lets divide that by x

21/3=7

so the rate of change is 7

Hope This Helps!!!

Answer:

[tex] 19\% \: of \: 49[/tex]

[tex] \frac{19}{100} \times 49[/tex]

[tex]0.19 \times 49[/tex]

[tex]9.13[/tex]

Answer:

39.69

Step-by-step explanation:

A percentage is on a scale of 100 so we divide 19 by 100

that makes 0.19.

Then multiply 49 with 0.19 that makes 9.31 (this is 19% of 49)

49 - 9.31 = 39.69

Answer:

Step-by-step explanation:

so...

on your new sheet of paper, draw a straight horizonal line label one end Y the other Z ( Y will be your vertex, point of angle )

then on original figure,  use a compass and put the in B and measure to A

on new sheet put the pin in Y and draw an arc ( lightly )

now back to orig and put pin in C and measure up to A

on new put pin onthe line so that when you draw an arc it will bisect the one you did previously. will will create a point . join the point to Y

hope that makes  some sort of sense.

Answer:

2nd box, 4th box and  5th box

Step-by-step explanation:

Answer:

x-2y/x

Step-by-step explanation:

x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x

The area of the region common to both circles is -6.67 square units

Since r = -2sinθ and r = 1, we find their points of intersection.

So, r = r

-2sinθ = 1

sinθ = -1/2

θ = sin⁻¹(-1/2)

θ = 7π/6

So, the circles intersect at (1,  7π/6)

To find the area of the region common to both circles, we integrate from r = 0 to r = 1 and θ = 0 to θ = 7π/6

[tex]A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {r - r}) \, dr \,d\alpha \\A = \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0( {-2sin\alpha - 1}) \, dr \,d\alpha \\A = -\int\limits^1 _0 \int\limits^\frac{7\pi }{6} _0 {2sin\alpha \, dr \,d\alpha - \int\limits^1 _0 \int\limits^\frac{7\pi }{6} _01} \, dr \,d\alpha \\A = 2[cos\alpha]_{0} ^{\frac{7\pi }{6} } [r]_{0} ^{1} r - [r]_{0} ^{1}} [\alpha ]_{0} ^{\frac{7\pi }{6}}} \\[/tex]

[tex]A = 2[cos{\frac{7\pi }{6} - cos0] [1 - 0] - ([1 - 0][\frac{7\pi }{6} - 0]\\[/tex]

A = 2(-¹/₂ - 1) - (1 × 7π/6)

A = 2(-3/2) - 7π/6

A = -3 - 7π/6

A = (-18 - 7π)/6

A = (-18 - 21.99)/6

A = -39.99/6

A = -6.67 square units

So, the area of the region common to both circles is -6.67 square units

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Answer:

3t

Step-by-step explanation:

The algebraic expression to show the number of tomatoes Tye planted this year is 3t

From the first statement given in the question, we were told that:

From the above statement, we can write the algebraic expression to show the number of tomatoes Tye planted this year. This is shown below:

Number of tomatoes planted this year = 3 × Number of tomatoes planted last year

= 3t

Thus, from the above illustration we can say that the algebraic expression is 3t

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The probability that a 4 shows up is 0.20 and the proportion of 3's rolled is 0.467

From the list of numbers, we have:

The probability that a 4 shows up is then calculated as:

P = n(4)/Sides

This gives

P = 1/5

Evaluate

P = 0.2

In the list of numbers, we have:

The proportion of 3's rolled is then calculated as:

P = Number of 3's/Total

This gives

P = 7/15

Evaluate

P = 0.467

Hence, the proportion of 3's rolled is 0.467

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In quadrilateral PQRS, ∠P and ∠S are opposite angles.

Step-by-step explanation:

z = 4√3

y = ?

Z° = 90° - 30° = 60°

Y° = 30°

• Find y.

y/sin(Y) = z/sin(Z)

y/sin(30°) = 4√3/sin(60°)

y/(1/2) = 4√3/(1/2 √3)

y . 1/2 √3 = 4√3 . 1/2

y . 1/2 √3 = 2√3

y = 2√3 . 2/√3

y = 4√3/√3

y = 4

The answer is A.

Answer: 379 meters squared

Step-by-step explanation:

Hello!

So, to calculate this area, we need to split it into 3 squares.

You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.

Area of a square (in this case rectangle) = Lenght multiplied by width

We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.

The first square will be the big one:

To get the length of the big square, we need to subtract 5 from 23.

Length of big square = 18 meters

And the width is also 18 meters

Area of the big square = 18 * 18 = 324 meters squared

Now, let's calculate the top left square's area.

That will be 5 meters * 5 meters.

Area of top left square = 25 meters squared.

Top right square's area = 6 meters * 5 meters.

Area of top right square = 30 meters squared

Now, we just gotta add them all up:

324 + 25 + 30 meters squared = 379 meters squared

Hope I Helped!

Answer:

-1

Step-by-step explanation:

so "i" is the square root of -1 (√-1). We know that i² = (√-1)², and that when we square a square root we end back up with whatever is inside of the square root.

This is why i² = -1

We can find a pattern from writing out a few exponents:

i¹ = i

i² = -1

i³ = -i  [(-1)(i)]

i⁴ = 1  [-1 · -1]

------

i⁵ = i  [(1)(i)]

i⁶ = -1 [(i)(i)]

i⁷ = -i [(-1)(i)]

i⁸ = 1 [(-i)(i)= -(i²)= -(-1) = 1]

------

i⁹ = i [1 · i]

we can see that the pattern of i repeats every 4 numbers, so by dividing 26 by 4 (and finding the remainder), we can figure out which step of the pattern we are on

26 / 4 = 6 [remainder of 2]

we know that there is a remainder of 2, meaning that we are on the "second step" in the pattern: -1

you can do the same thing for any number

hope this helps!!

Answer:

-1

Step-by-step explanation:

4 goes into 26 6 times, and then there's 2 remainder, so it's the same thing as i², which is -1

hope this is helpful :)

Using the same-side interior angles theorem, the values of x and y are:

x = 80

y = 130

The same-side interior angles theorem states that two interior angles on same side of a transversal are supplementary.

(x - 30) and (x + 50) are same-side interior angles, therefore:

(x - 30) + (x + 50) = 180

Solve for x

x - 30 + x + 50 = 180

2x + 20 = 180

2x = 180 - 20

2x = 160

x = 160/2

x = 80

(x - 30) + y = 180

Plug in the value of x

(80 - 30) + y = 180

50 + y = 180

y = 180 - 50

y = 130

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Answer:

X= 80

Y= 130

Step-by-step explanation:

do you trust me???

Answer:33.65

Step-by-step explanation:

6.73 x 5= 33.65

Answer:

66m

Step-by-step explanation:

Answer:

66 m

Step-by-step explanation:

ok so if you think about it, when she runs diagonal she's creating a triangle where she is running along the hypotenuse. we can now use the Pythagorean Theorem a^2 + b^2 = c^2 to solve for the other side with two of them being known.

plug values in

100^2 + w^2 = 120^2

square known values

10,000 = w^2 = 14,400

subtract 10,000 from both sides

w^2 = 4400

take the square root

w = 66 (rounded to the nearest whole number)

Answer:

DEF

Step-by-step explanation:

it is mathematically similar as the sides have a scale factor of 4

Answer:

Pease check my assumptions.

Step-by-step explanation:

I will assume that f(x)=x2 is actually f(x) = x^2.

Same for g(x)=(12x)^2  [Is it g(x)=12x^2  ???]

See the attached image.

Note that (12x)^2 results in a narrower, steeper graph.   That's because (12x)^2 can be rewritten as 144x^2, so every value is multiplied by 144, compared to just x^2.

The number of combinations will be 6 for even numbers.

The arrangement of the different things or numbers in a number of ways is called the combination.

Given that:-

The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.

The even numbers are 0,2,4.

The combinations will be given by:-

C = 3!

C = 3 x 2 x1

C = 6

Therefore the number of combinations will be 6 for even numbers.

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The polynomial f(x) in expanded form is [tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]

The polynomial zeros are given as:

x = 7, x = -1 and x = -3

Rewrite as:

x - 7 = 0, x + 1 = 0 and x + 3 = 0

Multiply the zeros

f(x) = (x - 7)(x + 1)(x + 3)

Expand

[tex]f(x) = (x - 7)(x^2 + 4x + 3)[/tex]

Further, expand

[tex]f(x) = x^3 + 4x^2 - 7x^2 + 3x - 28x - 21[/tex]

Evaluate

[tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]

Hence, the polynomial f(x) in expanded form is [tex]f(x) = x^3 - 3x^2 - 25x - 21[/tex]

We have:

[tex]g(x) = \frac{f(x)}{x^2 - x- 2}[/tex]

This gives

[tex]g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}[/tex]

Expand the numerator

[tex]g(x) = \frac{x^3 - x^2 - 2x^2 - 2x + 2x - 25x + 4 - 25}{x^2 - x - 2}[/tex]

Rewrite as:

[tex]g(x) = \frac{x^3 - x^2 - 2x - 2x^2 + 2x + 4 - 25x - 25}{x^2 - x - 2}[/tex]

Factorize

[tex]g(x) = \frac{(x - 2)(x^2 - x- 2) - 25x - 25}{x^2 - x- 2}[/tex]

Evaluate the quotient

[tex]g(x) = x - 2 - \frac{25x + 25}{x^2 - x- 2}[/tex]

The slant asymptote is the quotient i.e. x - 2

Hence, the slant asymptote of the function g(x) is x - 2

In (b), we have:

[tex]g(x) = \frac{x^3 - 3x^2 - 25x - 21}{x^2 - x- 2}[/tex]

Set the denominator to 0

[tex]x^2 - x - 2 = 0[/tex]

Expand

[tex]x^2 + x - 2x - 2 = 0[/tex]

Factorize

x(x + 1) - 2(x + 1) = 0

Factor our x + 1

(x - 2)(x + 1) = 0

Solve for x

x = 2 or x = -1

2 is greater than -1.

So, the discontinuities and their types are:

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