note: this is a multi-part question. once an answer is submitted, you will be unable to return to this part. a bowl contains 10 red balls and 10 blue balls. a woman selects balls at random without looking at them. what is the minimum number of balls she must select to be sure of having at least three blue balls?

Answer:one solution

Step-by-step explanation:

Answer:

1. x = 9

2. x > -10

Step-by-step explanation:

1.  2x + 2(x + 4) = 44        Distributive property

   2x + 2x + 8 = 44          Combine like terms

   4x = 36                        Isolate x

   x = 9

2.  x + 7 > -3                    Subtract 7 from both sides

    x > -10

Graph: draw a number line. Put an opened circle at -10. Since x is bigger than -10, we can draw the arrow to the right. (Please pretend the circle is at -10. Also, the bolded part of the number line is the part where you draw the arrow.)

<—⭕️——————————————>

I hope this helped and please mark me as brainliest!

Answer:

Interval of 50 on both axis

Step-by-step explanation:

Given

\((x_1,y_1) = (-50,0)\)

\((x_2,y_2) = (150,100)\)

\((x_3,y_3) = (200,-100)\)

\((x_4,y_4) = (350,50)\)

\((x_5,y_5) = (-250,0)\)

There are several ways to do this, but I will use the observation method, since the dataset is small.

Considering the x-coordinates

\(x = \{-50,150,200,350,-250}\)

Each element of the data set is a multiple of 50.

Hence, an interval of 50 can be used on the x-axis

Considering the y-coordinates

\(y = \{0,100,-100,50,0\}\)

Each element of the data set is a multiple of 50.

Hence, an interval of 50 can be used on the y-axis

So, an interval of 50 can be used on both axes

The correct answer for the third question is a. The residuals represent the difference between the actual y values and their predicted values.

a. The y-intercept in the simple linear regression model represents the value of y when x is zero. It is the point on the y-axis where the regression line intersects.

b. The slope in the simple linear regression model represents the average change in y per unit change in x. It indicates how much y changes on average for every one-unit increase in x.

Therefore, the correct answer for the first question is c. The y-intercept represents the value of y when x is zero.

For the second question, the correct answer is b. The slope represents the average change in y per unit change in x.

In regression analysis, the residuals represent the difference between the actual y values and their predicted values. They measure the deviation of each data point from the regression line. The residuals are calculated as the observed y value minus the predicted y value for each corresponding x value. They provide information about the accuracy of the regression model in predicting the dependent variable.Therefore, the correct answer for the third question is a. The residuals represent the difference between the actual y values and their predicted values.

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Answer:

x=72

Step by step explanation

Answer:

72

step by step eplanation

Step 1: Simplify both sides of the equation.

−1/9

x=−8

9*8= 72

The equation that describes the simple harmonic motion of the particle is:

x = 7 * sin(2t + φ)

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be represented as:

x = A * sin(ωt + φ)

In this equation:

x represents the displacement of the particle at time t.

A represents the amplitude of the motion.

ω represents the angular frequency or angular speed of the motion.

t represents time.

φ represents the phase constant.

In the given scenario, the particle is moving uniformly around a circle of radius 7 units, with an angular speed of 2 radians per second. In circular motion, the displacement can be represented by the arc length along the circumference of the circle.

Since the angular speed is 2 radians per second, the angular frequency (ω) is also 2 radians per second.

Since the particle is moving uniformly, the amplitude of the motion (A) is equal to the radius of the circle, which is 7 units.

The phase constant (φ) determines the initial position of the particle at t = 0.

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Answer:

C

Step-by-step explanation:

perpendicular lines intersect at a 90 degree angle, meaning it is not answer choice A.

B is incorrect because perpendicular lines intersect, so they can not be parallel.

C is correct because parallel lines never intersect, so perpendicular lines can never be parallel to each other.

D is incorrect because perpendicular lines only intersect at one point and create four consistent right angles.

Answer:

f(x)=x+2 Passes through

x-y=2 DOES NOT pass through

Step-by-step explanation:

Method- plug in x and see if the y matches the points. (1,3) (7,9)

f(x)=x+2

f(1)=1+2=3

f(7)=7+2=9

Matches!

x-y=2

1-y=2 --> y=-1

Does not match

Answer:

52,000 w

100h

Step-by-step explanation:

Answer: w=52h

Step-by-step explanation:

tried and worked

I'm assuming we're looking for the hypotenuse?

\(sin = \frac{opp}{adj} \)

\( \sin(59) = \frac{94}{hyp} \)

\(hyp = \frac{94}{ \sin(59) } \)

\(hyp = 109.6635393382 feet\)

The string is 109.66 feet long.

The value of the side x is 8cm

Note that the different trigonometric identities are;

From the information shown in the diagram, we have that;

The angle, theta = 60 degrees

the Hypotenuse side = xcm

the adjacent side = 4cm

Using the cosine identity, written as;

cos θ  = adjacent/hypotenuse

cos 60 = 4/x

cross multiply

x = 8cm

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The multiplier for the given economy is 4.

The multiplier represents the magnification effect of an initial change in autonomous spending on the overall output of an economy. It is calculated using the formula 1 / (1 - MPC), where MPC is the marginal propensity to consume.

In this case, the MPC is given as 0.75, which means that for every additional dollar of income, individuals spend 75 cents. The multiplier is calculated as 1 / (1 - 0.75) = 4.

The multiplier of 4 indicates that a change in autonomous spending, such as investment or consumption, will have a four times larger impact on the overall output of the economy. In other words, for every dollar increase in autonomous spending, the total output of the economy will increase by four dollars.

In this scenario, since the intended investment is $130, the total increase in output would be 4 * $130 = $520. Therefore, the multiplier effect amplifies the initial change in autonomous spending and leads to a larger increase in output in the economy.

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The expression 60⋅1.2^t models the number of nano-related patents granted in the US as a function of years since 1991.


Start with the number 60.

This represents the initial number of nano-related patents granted in the US in the year 1991.

Multiply 60 by 1.2.

This accounts for a growth factor of 1.2, indicating that the number of patents granted is increasing by 20% each year.

Raise 1.2 to the power of t. The variable t represents the number of years since 1991. This allows the expression to model the increase in patents over time.

The resulting expression, 60⋅1.2^t, gives an estimate of the number of nano-related patents granted in the US for any given year since 1991.

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Answer:

15.9

Step-by-step explanation:

Find new values:

6830

(

1

+

0.2

)

=

8196

6830(1+0.2)=8196

2600

(

1

+

0.05

)

=

2730

2600(1+0.05)=2730

Last Year This Year

Stock A 6830 8196

Stock B 2600 2730

Total 9430 10926

Find overall increase:

Find overall increase:

9430

(1+r)=

10926

9430(1+r)=10926

9430

(1+r)9430=

0926

9430

9430

9430(1+r)

​

=

9430

10926

​

1

+

r

=

1.158643

1+r=1.158643

r

=

0.158643

r=0.158643

Subtract 1

Final Answer:

15.9

%

Final Answer: 15.9%

Multiply by 100 and round to nearest 10th

Answer:

i do no

Step-by-step explanation:

Answer:

Step-by-step explanation:

EX.  in function f(x) = 2 cos x -2  

The first 2 is your amplitute, how high from middle line it goes

the last 2 is the shift in y direction.  

For f(x) = 2 cos x -2   (see image for this function)

it has been shifted down 2 and has a period

At \(\pi\) your function has a solution of -4

The first blank is  f(x) = cos x+2

Second blank is f(x) =  cos x -2

Answer:

0.1364

Step-by-step explanation:

10^4 is 10,000

1364/10,000 = 0.1364

The domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Given function h(x)=\(10x^{2} -6x\).

We are required to find the domain of the given function.

Function is basically relationship between two or more variables that are expressed in equal to form. The values that we entered in the function are known as a part of domain and the values that we get from the function are known as a part of range of function.

The function is h(x)=\(10x^{2} -6x\).

We have not given any range of the function, so we donot know the limit under which the values of that  function lies. Because we donot know the limit so we can put any real number in the function. So the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Hence the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

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Answer:

Β. ΔEFH, ΔEGF, ΔFGH

Answer:

burgers

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhh

Neither the statement "W is not a subspace of R3 because it is not closed under addition" nor the statement "W is not a subspace of R3 because it is not closed under scalar multiplication" is valid.

The set W is an R3 subspace with ordinary operations. To demonstrate that W is a subspace of R3, we must demonstrate that it meets three subspace properties: (1) it includes the zero vector, (2) it is closed under addition, and (3) it is closed under scalar multiplication.

Since W satisfies all three properties of a subspace, it is a subspace of R3 with the standard operations. Therefore, both statements "W is not a subspace of R3 because it is not closed under addition" and "W is not a subspace of R3 because it is not closed under scalar multiplication" are incorrect.

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These lines never intersect, there are no solutions to the equation.

In mathematics, a graph is a visual representation of a set of objects and the relationships between them. Graphs are widely used in many areas, including mathematics, computer science, engineering, social sciences, and more.

A graph consists of two main components: vertices (also known as nodes) and edges. The vertices represent the objects, and the edges represent the connections or relationships between them. The edges can be directed or undirected, meaning they can be one-way or two-way relationships.

There are many types of graphs, including:

Undirected graphs: Graphs in which edges have no direction.

Directed graphs: Graphs in which edges have a direction, often represented by arrows.

Weighted graphs: Graphs in which edges have weights or values, representing some kind of numerical data.

Bipartite graphs: Graphs in which the vertices can be divided into two distinct sets, with edges only connecting vertices in different sets.

Complete graphs: Graphs in which every vertex is connected to every other vertex by an edge.

Graphs are used to model and analyze various kinds of data, such as social networks, transportation systems, financial transactions, and more. They are also used in algorithms and data structures, such as shortest path algorithms and tree data structures. In addition, graphs are often visualized using software tools to help people better understand complex relationships and patterns in data.

The given equation is 3x + 1 = 3x + 2.

Subtracting 3x from both sides, we get:

1 = 2

This is a contradiction and there are no values of x that can satisfy this equation.

On a graph, this can be seen as follows:

Plotting the graphs of y = 3x + 1 and y = 3x + 2, we get two parallel lines.

Since these lines never intersect, there are no solutions to the equation.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

\( \large \boxed{ \mathfrak{Explanation}}\)

let's represent the proportional relationship as :

now, to remove the proportionality sign, let's take a proportionality constant " k "

now, let's find the value of proportionality constant :

now, let's plug any corresponding values of y and x from the table to find value of k

the relationship can be represented as :

so, it's time to complete the table now.

here we go :

For x = 3, value of y is :

Next, for value of y = 8, x is equal to :

Take into consideration the solid that results from rotating the area enclosed by the provided curves about the x-axis. y = 2/7 x^2, y = 9/7 - x^2 . the volume of the solid is approximately 1.412 cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y = 2/7 \(x^{2}\) and y = 9/7 - \(x^{2}\) about the x-axis, we can use the method of disks or washers.

First, we need to find the limits of integration. The curves intersect when:

2/7\(x^{2}\) = 9/7 - \(x^{2}\)

Multiplying both sides by 7, we get:

2\(x^{2}\) = 9 - 7\(x^{2}\)

9\(x^{2}\) = 9

\(x^{2}\) = 1

x = ±1

Therefore, the limits of integration are x = -1 and x = 1.

Next, we need to express the curves in terms of y. Solving for x in each equation, we get:

x = ±√(7/2 y)

x = ±√(9/7 - y)

Using the method of disks, we can find the volume of the solid by integrating the areas of circular disks with radius y from y = 0 to y = 9/7.

The radius of each disk is given by the difference between the upper and lower curves evaluated at y:

r = √(9/7 - y) - √(7/2 y)

The area of each disk is given by:

A = π\(r^{2}\)

Substituting for r, we get:

A = π [√(9/7 - y) - √(7/2 y)]

Expanding and simplifying, we get:

A = π [9/7 - y + 7/2 y - 2√(9/7 y)]

A = π [9/7 + 3/2 y - 2√(9/7 y)]

Integrating with respect to y, we get:

V = ∫[0, 9/7] π [9/7 + 3/2 y - 2√(9/7 y)] dy

V = π [(9/7) y + (3/4) - (4/9) \(9/7^{3/2}\) \(y^{3/2}\)] [0, 9/7]

V = π [81/28 - (64/81)  \(9/7^{3/2}\)]

V ≈ 1.412

Therefore, the volume of the solid is approximately 1.412 cubic units.

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Answer:

A=24

Step-by-step explanation:

First, we do the equations in the brackets(2x6) which is 12.

Before that, there is a 1/2 which means dividing whatever is inside the brackets by 2 which then becomes 6.

Then we x4 so the answer is 24.

a = 24

Step-by-step explanation:

\(\rm \: a = \frac{1}{2} (2 \times 6) \times 4 \\ \\ \rm a= \frac{1}{2} (12) \times 4 \\ \\ \rm a= \frac{12}{2} \times 4 \\ \\ \rm \: a = 6 \times 4 \\ \rm \: a = 24\)

The integer would be -250, since it is a decrease.

Answer:

A

Step-by-step explanation:

Given

p² - 16 = 0 ( add 16 to both sides )

p² = 16 ( take the square root of both sides )

p = ± \(\sqrt{16}\) = ± 4

Thus solution is { - 4, 4 } → A

A parabola with focus of (-5, -1) and a directrix of y=7 has the equation of the parabola as: (x + 5)² =  8 (y - 3)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-5,-1)

h = -5

k + p = -1

P in this problem, is the midpoint between the focus and the directrix

P = (-1 - 7) / 2 = -4

p = -4

the vertex

v(h, k)

h = -5

k + p = -1, k = 3

v(h, k) = v(-5, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - -5)² =  4 * 2 (y - 3)

(x + 5)² =  8 (y - 3)

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