When ordering a pizza, you have a choice of 3 types of crust: thin crust (T), hand-tossed (H), or deep dish (D); a choice of 2 types of sauces: red (R) or white (W); and a choice of 2 types of toppings: mushroom (M) or onions (O). If you are choosing only one of each, list the sample space in regard to the pizzas (combinations of crust, sauces, and toppings) you could pick from.

The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

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Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

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Based on the description, the total area of the figure would be 45 square meters.

To find the total area of the figure, we need to divide it into two triangles and one rectangle.

The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.

The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.

Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:

36 + 4.5 + 4.5 = 45 square meters

So the answer is 45 m2.

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Answer:

12 students make it to the team

Step-by-step explanation:

0.15 x 80 = 12

12 students make it to the team.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

Given that,

The formulas 1/4(10x+8) and -(1/2x+13) + 3(x+5) are being examined by three Math Club members for all possible values of x. According to the findings in the table, each student asserts that the expressions are connected.

We have to find which student is right.

Take the

1/4(10x+8) = 10/4x+8/4 = 5/2x+2

-(1/2x+13) + 3(x+5) = -1/2x-13+3x+15 = 5/2x+2

So, 1/4(10x+8)= -(1/2x+13) + 3(x+5)

Therefore, 1/4(10x+8)= -(1/2x+13) + 3(x+5) being examined by three Math Club members for all possible values of x.

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Answer:

4 cm

which is none of the listed answers

Step-by-step explanation:

∛64 = 4

proof:

4x4x4 = 64

Answer:

15.40 ounces to 16.90 ounces.

Step-by-step explanation:

The answer that describe the shape below is Parallelogram. The Option A is correct.

A parallelogram is a quadrilateral with two pairs of parallel sides. This means that the opposite sides of a parallelogram are parallel and equal in length. Additionally, the opposite angles of a parallelogram are congruent, meaning they have the same measure. The interior angles of a parallelogram add up to 360 degrees, just like any other quadrilateral.

The area of a parallelogram can be found by multiplying the length of one of its base (the distance between two parallel sides) by the perpendicular height (the shortest distance between the two parallel sides). Alternatively, the area can also be found by taking the cross product of the vectors representing the two adjacent sides of the parallelogram.

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The total budget last year andersons spend is $42000 which is option (3) .

It is given that andersons spend 12% of their budget on travel and the they plan to spend $5220 on travel.

Let "x" be the total budget of this year , then

       \(12\% \ of \ x =5220\\\\\frac{12}{100} \times x=5220\\\\x=\frac{5220\times100}{12} \\\\x=43500\)

so the total amount anderson spend this year is $43500 .

It is given that their total budget this year is $1500 more than last year which can be represented as

Total budget this year = 1500 + Total budget last year

  Total budget last year = \(43500-1500=\$42000\)

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The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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The area of the smaller rectangle (KLMN) is 16.

Since rectangles ABCD and KLMN are similar, their corresponding sides are proportional.

Let's assume the length of side AB in rectangle ABCD is x, and the length of side KL in rectangle KLMN is y.

We can set up the proportion:

(x/y) = (20/16)

To find the area of the smaller rectangle, we need to determine the ratio of their areas.

Since the area of a rectangle is given by the product of its length and width, the ratio of the areas will be equal to the square of the ratio of their sides:

(Area of ABCD)/(Area of KLMN) = (x²)/(y²)

We are given that the area of ABCD is 25, so we have:

25/(Area of KLMN) = (x²)/(y²)

To find the area of KLMN, we need to substitute the values of x and y from the proportion:

25/(Area of KLMN) = (20/16)²

Simplifying the right side:

25/(Area of KLMN) = (5/4)²

25/(Area of KLMN) = 25/16

Cross-multiplying:

25 × 16 = 25 × (Area of KLMN)

400 = 25 × (Area of KLMN)

Dividing both sides by 25:

16 = Area of KLMN

Therefore, the area of the smaller rectangle (KLMN) is 16.

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The angle θ = 90° is not a solution to trigonometric equation sin 2θ = 1. (Right choice: A)

In this problem we must determine what angle is not a solution of a given trigonometric equation. The solution set is found by means of algebra properties and trigonometric formulas:

sin 2θ = 1

2θ = 90° + 360° · i, where i is a whole number.

θ = 45° + 180° · i

According to this expression, θ₁ = 45°, θ₂ = 225° and θ₃ = - 135° are solutions to this equation. θ = 90° is not a solution of sin 2θ = 1.

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Answer:

D. Not factorable

Step-by-step explanation:

Answer:

  18 cubic inches

Step-by-step explanation:

The formulas for the volumes of a cone and a cylinder can be used to answer this question.

The volume of a cone is given by ...

  V = 1/3πr²h . . . . . volume of cone with radius r and height h

The volume of a cylinder is given by ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

Comparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  (cone volume) = 1/3(cylinder volume)

Multiplying this equation by 3 gives ...

  3×(cone volume) = (cylinder volume)

Using the given value for cone volume, we have ...

  cylinder volume = 3×(6 in³) = 18 in³

The volume of the cylinder is 18 cubic inches.

Explanation

To solve the question, we will make use of PEMDAS

So, in solving the question

We will have

Combining the above, we will have

Thus, we have our answer as 20

Answer = 20

Answer:

\(1 + 1 = 2\)

Step-by-step explanation:

1 + 1 is equal to 2 because it is- at least that's what we believe the answer to be. It doesn't have to, but it is just what we as humans have come to recognize because it is internationally accepted.

Heck, you don't need to be a genius to understand that when you inherently have exactly one more of a thing, you have more of it. Numbers are just a way to represent more (or less if we're talking negatives). Now, we'll probably never understand why mathematics is so beautifully synchronized with our world, but it is, and we as a sentient species have come to recognize that for the longest time.

Numbers are abstract, as long as you are consistent, anything can be a number if you give it value. \(1+1\) doesn't have to equal \(2\), if we wanted we could make it equal to \(:)\). \(1 + 1 =\ :)\)

Whether we are solving basic algebra:

\(:)x + 4 = 10\\:)x = 6\\x = \frac{6}{:)} =3\)

Or calculating integrals:

\(\int\limits^{0.5}_{0} {8xe^{:)x}} \, dx\\= \frac{xe^{:)x}}{:)}-\int\limits{\frac{e^{:)x}}{:)}} \, dx\\= 4xe^{:)x} - :)e^{:)x} + C = (4x-:))e^{:)x} + C\\=(4x-:))e^{:)x}|^{0.5}_{0}\\= (4(0.5)-:))e^{:)(0.5)} - (4(0)-:))e^{:)(0)}\\= :)\)

\(1+1\) will always be whatever \(1+1\) is.

Hopefully, I didn't get too philosophical lol.

Answer:

22

Step-by-step explanation:

the answer is 22 duydtodogxhfydududurudyxhxoxitxyiydyid

Answer:

22..Hope it help you...

Step-by-step explanation:

1606/73=22

The value of the variable "x" is 11.

We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".

The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.

∠LMK + ∠LMN = 180°

∠LMK + (7x + 5)° = 180°

∠LMK = 180° - (7x + 5)°

In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠K + ∠L + ∠M = 180°

(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°

3x +19 + 2x + 8 + 180 - 7x - 5 = 180

-2x + 22 = 0

2x = 22

x = 11

Hence, the value of the variable "x" is 11.

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Answer:

 =  − 1

Step-by-step explanation:

Answer:

If we're taking in terms of square roots (that are in the equation I'm working with), then your answer would be:

x = -12

Answer:

5) y = 1x + 2

6) y = -0.5x + 6

Explanation:

5)

Given points are (-3, -1), (2, 4)

\(\sf slope \:formula: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

Here, find slope:

\(\rightarrow \sf slope \ (a) = \dfrac{4-(-1)}{2-(-3)} = \dfrac{5}{5} = 1\)

Find Equation:

y = ax + q

Here found that a = 1, take (x, y) = (-3, -1)

\(\sf -1 = 1(-3) + q\)

\(\sf q - 3 = -1\)

\(\sf q = -1 + 3\)

\(\sf q = 2\)

So, in total equation:

y = 1x + 2

-------------------------------------------------------------------------------------

6)

Given points are (-2, 7), (2, 5)

\(\sf slope \:formula: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points\)

Here, find slope:

\(\rightarrow \sf slope \ (a) = \dfrac{5-7}{2-(-2)} = -0.5\)

Find Equation:

y = ax + q

Here found that a = -0.5, (x, y) = (-2, 7)

\(\sf 7 = -0.5(-2) + q\)

\(\sf 7 = 1 + q\)

\(\sf q = 7-1\)

\(\sf q = 6\)

So, in total equation:

y = -0.5x + 6

Answer:

Answer:

Opposite/Adjacent

Step-by-step explanation:

SOH CAH TOA

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

For the function,

F(x)  = (x² + 11x +28)/(x² + 8x + 15) limit doesn't exist at x = -5 so it is dis-continuous at that point.

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  = (x² + 11x +28)/(x² + 8x + 15)

To check whether it is continuous at x = -5

First taking LHL,

\(\lim_{h \to \ 0}\) [(-5-h)² + 11(-5 -h) +28]/[(-5 -h)² + 8(-5 -h) + 15]

It is approaching at negative infinity

Now, taking RHL

\(\lim_{h \to \ 0}\)  [(-5+h)² + 11(-5 +h) +28]/[(-5 +h)² + 8(-5+h) + 15]

Again, It is approaching at negative infinity

Hence, here limit doesn't exist so it is not continuous at x = -5

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Answer:

0

Step-by-step explanation:

Average rate of change from x = -3 to x = 5.

When x = -3, y = -1. That is f(-3) = -1

When x = 5, y = -1, That is f(5) = -1

Average rate of change = \( \frac{f(b) - f(a)}{b - a} \)

Where,

\( a = -3, f(a) = -1 \)

\( b = 5, f(b) = -1 \)

Plug in the values into the equation:

\( = \frac{-1 - (-1)}{6 -(-3)} \)

\( = \frac{0}{8}  \)

\( = 0 \)

Average rate of change = 0

first polygon

ext. angle=180°-120°

=60°

\(ext \: ang = \frac{360}{n} \)

n=360°/60°

n=6

second polygon

n=2(6)=12

ext. ang= 360°/n = 360°/12° = 30°

int. ang = 180°-30°= 150°

answer is C

If the ratio of the numbers of sides of two regular polygons is 1:2 and each interior angle of first angle is 120° then the measure of each interior angle of the second polygon is 150° which is option 3).

A regular polygon is a polygon whose all sides are equal to each other.

We have been given ratio of sides of two polygon that is 1:2 and the interior angle of first polygon that is 120 degrees.

Exterior angle will be 180-120=60°

We know that exterior angle =360/n where n is the sides of the polygon.

60=360/n

n=360/60

n=6

Number of sides of other polygon=2*6=12

Exterior angle=360/n

=360/12

=30

Interior angle=180-30=150°

Hence the interior angle of the second polygon is 150 degrees.

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