Find the area of the figure. PLEASE HELP

To solve this problem, let us first define what probability means in this case. It would be:

Probability = (number of colors to choose from) / (total number of colors)

There are a total of 5 colors on the spinner. The number of colors to choose from spins 1 to 8 would be 5 out of 5, while for the last spin 9 the number of colors to choose from would only be brown so that would be 1 out of 5. The total probability would be the product of the probability of each spins, therefore:

Probability = 1st spin * 2nd spin * 3rd spin * 4th spin * 5th spin * 6th spin * 7th spin * 8th spin * 9th spin

Probability = (5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) *(5/5) * (1/5)

Probability = 0.2

There is a 20% chance to get brown on the last spin.

Answer:

1/5

Step-by-step explanation:

Think of it like this. If there is five spots it can potentially land on, and only 1 brown spot, the answer would be 20 %, or as a fraction, 1/5.

The answer is A! I just did it and gotit right

There are 5 pizza and 25 hamburgers.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A party was organized for thirty people.

And, There were five times as many hamburgers as pizzas.

Now,

Let number of pizza = x

Then, Number of hamburgers = 5x

So, We get;

⇒ x + 5x = 30

⇒ 6x = 30

⇒ x = 5

Thus, Number of pizza = x

                                   = 5

Then, Number of hamburgers = 5x

                                               = 5 × 5 = 25

Therefore, There are 5 pizza and 25 hamburgers.

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The volume of the region inside the cube but outside the sphere is approximately 187.73 in^3.

The volume of the region inside the cube but outside the sphere can be calculated by subtracting the volume of the sphere from the volume of the cube.

Volume of the cube = side^3 = 6^3 = 216 in^3

Volume of the sphere = (4/3)πr^3

Since the sphere fits snugly inside the cube, the radius of the sphere is half the length of the side of the cube. So, r = 3/2 in.

Therefore, volume of the region = volume of the cube - volume of the sphere = 216 in^3 - (4/3)π(3/2)^3 in^3 = 216 in^3 - 9π in^3 = 216 in^3 - 28.27 in^3 ≈ 187.73 in^3.

By using the concept of function, it can be concluded that-

The domain and range of the given function is the set of real numbers

What is a function

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the given linear function is

f(x) =[tex]\frac{2}{7}x - 2[/tex]

The graph has been attached here

As the given function is a linear function with a non zero slope, the domain and range is the set of real numbers.

So, the domain and range of the given function is the set of real numbers

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Answer:

∠1≅∠5 by Corresponding angles for parallel line p and q cut by traversal r

∠5≅∠13 by Corresponding angles for parallel line r and s cut by traversal q

∠10≅∠14 by Corresponding angles for parallel line p and q cut by traversal s

∠13≅∠16 by Vertical angles theorem

The given pairs of congruent angles can be matched with their reasons as follows:

Given:

[tex]r \parallel s\\\\p \parallel q[/tex]

From the image,

1. [tex]\angle 5 $ and \angle 13[/tex] share the same corner along transversal q that cuts across lines r and s. Hence, both angles correspond to each other.

2. [tex]\angle 10 $ and \angle 14[/tex] share the same corner along transversal s that cuts across lines p and q. Hence, both angles correspond to each other.

3. [tex]\angle 13 $ and \angle 16[/tex] share the same vertex angle and are just directly opposite each other. Thus, they are vertically opposite each other and are therefore equal by the vertical angles theorem.

4. [tex]\angle 1 $ and \angle 5[/tex] share the same corner along transversal r that cuts across lines p and q. Hence, both angles correspond to each other.

In summary, the given pairs of congruent angles can be matched with their reasons as follows:

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Answer:  The positive number is  [tex]\dfrac{1}{2}.[/tex]

Step-by-step explanation:  We are given to find the positive number that is twice it's own square.

Let x denotes the required number.

Then, according to the given information, we have

[tex]x=2x^2\\\\\Rightarrow 2x^2-x=0\\\\\Rightarrow x(2x-1)=0\\\\\Rightarrow x=0,~~2x-1=0\\\\\Rightarrow x=0,~\dfrac{1}{2}.[/tex]

Sine 0 is not considered as a positive number, so the required positive number is [tex]\dfrac{1}{2}.[/tex]

Thus, the positive number is [tex]\dfrac{1}{2}.[/tex]

Answer:

[tex]w(w+2)=48[/tex] can be used by John.

Step-by-step explanation:

John has 48 square centimeter tiles he wants to use to create a mosaic.

We can say that 48 square cm is the area of the rectangle.

Let the width of the mosaic be = w

So, given is, He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.

[tex]l=w+2[/tex]

Now area of rectangle is given as = [tex]length\times width[/tex]

[tex]48=l\times w[/tex]

Substituting l= w+2

[tex]48=(w+2)\times w[/tex] square cm

Hence, the equation John can use to solve and find w, the greatest width in centimeters he can use for the mosaic is :

[tex]w(w+2)=48[/tex]

The name of the shape graphed by the function r ^ 2 = 9 cos (2 theta) is called the “lemniscate”. A lemniscate is a plane curve with a feature shape which consists of two loops that meet at a central point. The curve is also sometimes called as the lemniscate of Bernoulli.

Explanation:

The period of coskθ is 2π/k. In this case, k = 2 therefore the period is π.

r ^ 2 = 9 cos 2θ ≥0 → cos 2θ ≥0. So easily one period can be chosen as θ ∈ [0, π] wherein cos 2θ ≥0.

As cos(2(−θ)) = cos2θ, the graph is symmetrical about the initial line.

Also, as cos (2(pi-theta) = cos 2theta, the graph is symmetrical about the vertical θ = π/2

A Table for half period [0,π4/] is adequate for the shape in Quarter1

Use symmetry for the other three quarters:

(r, θ) : (0,3)(3/√√2,π/8)(3√2/2,π/6)(0,π/4)

Answer:

lemniscate

Step-by-step explanation:

a p e x

Answer:

Introduction, Methodology, Results, Discussion.

Step-by-step explanation:

yes

Answer:

x< 3

Step-by-step explanation:

-2(5-4x)<6x-4

multiply -2 inside the parenthesis

-2 * 5 = -10

-2 * -4x= 8x

-2(5-4x)<6x-4

-10 + 8x < 6x -4

To solve for x  we need 'x' on the left hand side

Subtract 6x from both sides

-10 + 8x -6x< 6x -6x -4

-10 +2x < -4

Add 10 on both sides

-10 +10 +2x < -4+10

2x < 6

divide by 2 on both sides

x< 3

Final answer:

In similar triangles MNO and XYZ, corresponding angles are congruent (M with X, N with Y, O with Z) and corresponding sides are in proportion (MN to XY, NO to YZ, MO to XZ).

Explanation:

If triangles MNO and XYZ are similar (denoted as MNO ~ XYZ), then their corresponding parts are congruent. Corresponding parts include angles and sides that match between the two triangles due to their similarity in shape and proportion. In similar triangles, corresponding angles are congruent, while corresponding sides are in proportion.

The corresponding congruent angles would be angle M and angle X, angle N and angle Y, and angle O and angle Z. For the sides, the lengths are proportional, which means that the ratio of MN to XY is the same as the ratio of NO to YZ, which is also the same as the ratio of MO to XZ.

Final answer:

In similar triangles MNO and XYZ, the corresponding congruent parts are angles M, N, O congruent to angles X, Y, Z respectively and sides MN, NO, OM proportional to sides XY, YZ, ZX respectively.

Explanation:

If triangles MNO and XYZ are similar (denoted as MNO ~ XYZ), it indicates that they have the same shape but not necessarily the same size. This means that their corresponding angles are congruent, and their corresponding sides are in proportion.

The corresponding congruent parts would be:

Angle M is congruent to Angle X

Angle N is congruent to Angle Y

Angle O is congruent to Angle Z

Side MN is proportional to Side XY

Remember, while the angles are congruent, the sides are proportional, which means the length of the sides of one triangle is some multiple or fraction of the lengths of the corresponding sides of the other triangle.

Answer:

The first one hopefully :)

Step-by-step explanation:

To solve this problem, we assume that velocity is a linear function of time:
v(t) = m t + b
where
v = velocity

t = time

m = slope of line

b = y-intercept of line equation

When t = 2 hours, v = 18 km/h, therefore:
2 m + b = 18         (1)

When t = 4 hours,  v = 4 km/h, therefore
4 m + b = 4          (2)

Subtract (1) from (2) to obtain
4 m – 2 m = 4 - 18
2 m = -14
m = -7

From (1), calculate for b:
b = 18 – 2(-7) = 32

Part A. The equation in standard form is therefore:
v = -7 t + 32

Part B. To graph the equation for the first 8 hours, we create a table as shown below. Assign values of t from 0 to 8 hours then calculate the corresponding velocity.

To find Enrique's weight, set up a system of equations based on the given information and solve for the weights of both Brendan and Enrique.

Enrique weighs 5 pounds more than twice Brendan's weight.

If their total weight is 225 pounds, you can set up a system of equations.

Let x be Brendan's weight, so Enrique's weight is 2x + 5.

From the given information, x + (2x + 5) = 225.

Solving the equation, x = 70 and Enrique's weight is 2(70) + 5 = 145 pounds.

Answer:

(c) The graph starts flat but curves steeply upward.

Step-by-step explanation:

(a) The graph is a straight line that has a slope of 8

In the table, the value y increases. there is no constant increase in y

So The graph is not a straight line

(b) The graph is a horizontal line at y = 16

For y=16 graph, the value of y remains the same

The value of y changes in the table

So the graph is not a horizontal line

(c) The graph starts flat but curves steeply upward.

The value of y on the table increases rapidly. So we can say that graph starts flat and curves steeply upward.

(d) The graph is a parabola that opens upward.

There is no vertex mentioned in the table. the y values goes on increasing.

In parabola, the graph increases and then decreases or vice versa .

So the graph of given table is not a parabola

Final answer:

The complete factorization of the polynomial x³ - 3x² + x - 3 is (x - 3)(x² + 3)(x + 1).

Explanation:

The complete factorization of the polynomial x³ - 3x² + x - 3 can be found by using the Rational Root Theorem and synthetic division. By trying out the possible rational roots using the Rational Root Theorem, we find that one of the roots is 3. So, we divide the polynomial by (x - 3) to get the quadratic factor and the remaining linear factor.

(x - 3) is a factor, so we divide x³ - 3x² + x - 3 by (x - 3) using synthetic division:
3|1-31-3|3030|1010
The result is x² + 3.

The remaining linear factor is 1x + 1 = x + 1.

Therefore, the complete factorization of the polynomial x³ - 3x² + x - 3 is (x - 3)(x² + 3)(x + 1).

The p value can simply be located given the value of the z statistic by using a standard normal probabilities distribution table.

We are given that the z value of z = - 1.52. Since z is negative this means that we are to look for the proportion or p value located to the left of z. Based on the standard normal probabilities distribution table, this is equivalent to a p value of:

p value = 0.0643

This given p value indicates that 0.0643 or 6.43% of the population is located to the left of z.

Answer:

p value = 0.0643

The equation showing the relationship between milliliters of sugar (c) and the number of flavor packages (f) is c = 150f, derived from the recipe's ratio.

The relationship between milliliters of sugar (c) and the number of flavor packages (f) can be expressed with the equation c = 150f. This equation comes from the ratio provided in the recipe, which states that for every 2 flavor packages, 300 ml of sugar is needed. So, if 1 flavor package corresponds to 150 ml of sugar (since 300 ml is for 2 packages), the equation can be derived by multiplying the number of flavor packages by 150 ml to find the milliliters of sugar.