what is the ratio of white cirlces to blue cirlces?​

Answer:

is there anything to add to that? or is that it

ANSWER

x = -1

EXPLANATION

Let us replace the box with x:

x - 9 = -10

To solve this, collect like terms by taking the -9 to the other side.

The sign changes:

x = 9 - 10

x = -1

In the movie Moneyball, Pete takes Billy to New York City to meet with a group of young economists who have developed a new system for analyzing player performance called sabermetrics.

Based on a true event, "Moneyball" recounts the 2002 campaign of the Oakland Athletics baseball club. Billy Beane, the team's general manager, is dissatisfied with the limited resources at his disposal and chooses to change his strategy for assembling a successful squad. To assist him in putting this new plan into action, he employs Yale University graduate in economics Peter Brand.

In the film "Moneyball," Billy Beane (Brad Pitt) is the character Billy Beane asks Pete (Jonah Hill) to demonstrate to him the new method of assessing baseball players utilizing statistics and data analysis. He wants to take Billy in particular to meet with a group of young economists who have created a brand-new method of evaluating player performance that they call "sabermetrics." Pete is confident that this novel strategy will transform the way baseball teams are created and provide the Oakland A's, a team managed by Billy Beane, a competitive edge. The conference takes place in the "Baseball Prospectus" company's New York City headquarters when the economists present Billy and Pete with their hypotheses.

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Answer:

Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed

Walking the dog and getting a call on your cell phone are independent events.

What are independent and dependent event?

Dependent events are those events that are affected by the outcomes of events that had already occurred previously. i.e. Two or more events that depend on one another are known as dependent events.

Independent events are those events whose occurrence is not dependent on any other event. If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.

According to the given question:

Let walking the dog be event A and getting a call on your cell phone be event B.

Clearly event A and B are not related in any way.

Hence Walking the dog and getting a call on your cell phone is an independent event.

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(2, −6.5), from the graph, point out the coordinates where both lines intersect each other. That is the solution for both the lines. Here the lines cut at x : 2 and y : -6.5. Therefore (2, −6.5) is the best estimate for the solution to the system.

Check the intersection point where both lines meet at.

So the co-ordinates are

The equation formed by the points of a linear function given in the question is \(y = \frac{1}{2} \ x + 9\).

We need to determine the slope (m) and the y-intercept (b) of the line to find the equation of the linear function represented by the table.

Using any two points from the table to find the slope using the formula:

\(m = \frac{(y2 - y1)}{(x2 - x1)}\)

Let's choose the points (-6, 6) and (6, 12):

\(m = \frac{(12 - 6)}{6 - (-6)} = \frac{6}{12} = \frac{1}{2}\)

Now that we know the slope, we can use the point-slope form of the equation of a line to find the y-intercept:

\(y - y1 = m(x - x1)\)

Using the point (0, 9):

\(y - 9 = (\frac{1}{2} )(x - 0)\)

\(y - 9 = \frac{1}{2} \ x\)

\(y = \frac{1}{2} \ x + 9\)

Therefore, the equation represented by the table is \(y = \frac{1}{2} \ x + 9\).

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Answer:

22.5%

Step-by-step explanation:

Solution

Basically, we are given

We want to find the time

Recall that

We will make time the subject of formula

We therefore find the time using the data above

Therefore, it would take 28095238.1 hours

Fraction convertiing to mix number

34/4

Find biggest integer number less than 34/4, and divisible by 4

Its 32. Divide it by 4. Then 32/4 = 8

Now find fraction (34-32)/4 = 2/4

Finally reunite both results to get

8 1/4

Answer:

x=2.5

Step-by-step explanation:

Answer:

1)\(y=3x-1\)

2)\(y=\frac{-1}{5}x+4\)

3)\(y=5x-3\)

4)\(y=3\)

5)\(y=\frac{3}{4}x+6\)

6)\(y=2x-10\)

7)\(y=\frac{3}{2}x+4\)

8)\(y=2\)

9)\(y=\frac{1}{3}x+3\)

10)y=\(y=\frac{-1}{ 2}+4\)

*NOTICE* Some of the numbers on your picture are blurry, so the numbers might be slightly wrong *NOTICE*

Step-by-step explanation:

I assume that this is asking you to write the simplest equation.

The three formulas you need are the slope formula, the point-slope formula and the linear equation.

Slope formula is \(\frac{y2-y1}{x2-x1}\) , Point slope is y-y1=m(x-x1), where m is the slope and y1 and x1 come from a point, and linear equation is y=mx+b. Where m is the slope, and b is the y-intercept.

1)Slope=3, and y-intercept=-1, so y=3x-1

2)Slope=-1/5, and y-intercept=4, so y=-1/5x+4

3)Slope=5, and it goes through the point (2,7), so y-7=5(x-2) you distribute the 5 to get y-7=5x-10, and you add the 7 to get y by itself to get y=5x-3

4)Slope=0, and it goes thorough point (-3,3), so y-3=0(x+3). Distribute the zero to get y-3=0. Add thee to get y by itself to get y=3

5)slope=3/4, and it goes through point (0,6), so (0,6) shows that the y-intercept=6. y=3/4x+6

6)Goes through points (6,2) and (5,4), so you use the slope formula to get \(\frac{4-2}{6-5}=\frac{2}{1}=2\). y-2=2(x-6), and you distribute the 2 to get y-2=2x-12. Add two to get y by itself, and you get y=2x-10.

7) Goes through (0,4) and (2,7). Slope formula \(\frac{7-4}{2-0}=\frac{3}{2}\). (0,4) shows the y-intercept=4. y=3/2x+4.

8)Goes through points (-3,2) and (8,2). Slope formula \(\frac{2-2}{8-(-3)}=\frac{0}{8+3}=0\). Point-slope to get y-2=0(x-3). Distribute 0 to get y-2=0. Add 2 to get y by itself to get .

9)Goes through points (-6,1) and (-3,2). Slope formula \(\frac{2-1}{-3-(-6)} =\frac{1}{-3+6} =\frac{1}{3}\) . Point-slope to get y-1=1/3(x+6). Distribute 1/3 to get y-1=1/3x+2. Add 1 to get y by itself to get \(y=\frac{1}{3}x+3\).

10)y-intercept=4 and goes through point (2,3). Turn y-intercept into point (0,4). Slope formula. \(\frac{3-4}{2-0}=\frac{-1}{2}\) . With y-intercept=4, \(y=\frac{-1}{2}x+4\)

Answer:

Work shown below!

Step-by-step explanation:

24 ≥ 58 + 5(x - 3.8)

Distribute;

24 ≥ 58 + 5x - 19

Collect like terms;

24 ≥ 39 + 5x

Subtract 39 from both sides;

-15 ≥ 5x

Divide both sides by 5;

x ≥ -3

Answer: 7.5 minutes

Step-by-step explanation:

Answer:

\(\frac{3}{4} = \frac{6}{8} = \frac{9}{12} = \frac{18}{24} \)

The value of integral is 3.

Let's evaluate the integral over the positive half of the interval:

∫[0 to π] (cos(x) / √(4 + 3sin(x))) dx

Let u = 4 + 3sin(x), then du = 3cos(x) dx.

Substituting these expressions into the integral, we have:

∫[0 to π] (cos(x) / sqrt(4 + 3sin(x))) dx = ∫[0 to π] (1 / (3√u)) du

Using the power rule of integration, the integral becomes:

∫[0 to π] (1 / (3√u)) du = (2/3) . 2√u ∣[0 to π]

Evaluating the definite integral at the limits of integration:

(2/3)2√u ∣[0 to π] = (2/3) 2(√(4 + 3sin(π)) - √(4 + 3sin(0)))

(2/3) x 2(√(4) - √(4)) = (2/3) x 2(2 - 2) = (2/3) x 2(0) = 0

So, the value of integral is

= 3-0

= 3

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Answer:

\(3-\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3 \sin x}}\; \text{d}x\approx 0.806\; \sf (3\;d.p.)\)

Step-by-step explanation:

First, compute the indefinite integral:

\(\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x\)

To evaluate the indefinite integral, use the method of substitution.

\(\textsf{Let} \;\;u = 4 + 3 \sin x\)

Find du/dx and rewrite it so that dx is on its own:

\(\dfrac{\text{d}u}{\text{d}x}=3 \cos x \implies \text{d}x=\dfrac{1}{3 \cos x}\; \text{d}u\)

Rewrite the original integral in terms of u and du, and evaluate:

\(\begin{aligned}\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=\int \dfrac{\cos x}{\sqrt{u}}\cdot \dfrac{1}{3 \cos x}\; \text{d}u\\\\&=\int \dfrac{1}{3\sqrt{u}}\; \text{d}u\\\\&=\int\dfrac{1}{3}u^{-\frac{1}{2}}\; \text{d}u\\\\&=\dfrac{1}{-\frac{1}{2}+1} \cdot \dfrac{1}{3}u^{-\frac{1}{2}+1}+C\\\\&=\dfrac{2}{3}\sqrt{u}+C\end{aligned}\)

Substitute back u = 4 + 3 sin x:

                            \(= \dfrac{2}{3}\sqrt{4+3\sin x}+C\)

Therefore:

\(\displaystyle \int \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x= \dfrac{2}{3}\sqrt{4+3\sin x}+C\)

To evaluate the definite integral, we must first determine any intervals within the given interval -π ≤ x ≤ π where the curve lies below the x-axis. This is because when we integrate a function that lies below the x-axis, it will give a negative area value.

Find the x-intercepts by setting the function to zero and solving for x in the given interval -π ≤ x ≤ π.

\(\begin{aligned}\dfrac{\cos x}{\sqrt{4+3\sin x}}&=0\\\\\cos x&=0\\\\x&=\arccos0\\\\\implies x&=-\dfrac{\pi }{2}, \dfrac{\pi }{2}\end{aligned}\)

Therefore, the curve of the function is:

So to calculate the total area, we need to calculate the positive and negative areas separately and then add them together, remembering that if you integrate a function to find an area that lies below the x-axis, it will give a negative value.

Integrate the function between -π and -π/2.

As the area is below the x-axis, we need to negate the integral so that the resulting area is positive:

\(\begin{aligned}A_1=-\displaystyle \int^{-\frac{\pi}{2}}_{-\pi} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=- \left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{-\frac{\pi}{2}}_{-\pi}\\\\&=-\dfrac{2}{3}\sqrt{4+3 \sin \left(-\frac{\pi}{2}\right)}+\dfrac{2}{3}\sqrt{4+3 \sin \left(-\pi\right)}\\\\&=-\dfrac{2}{3}\sqrt{4+3 (-1)}+\dfrac{2}{3}\sqrt{4+3 (0)}\\\\&=-\dfrac{2}{3}+\dfrac{4}{3}\\\\&=\dfrac{2}{3}\end{aligned}\)

Integrate the function between -π/2 and π/2:

\(\begin{aligned}A_2=\displaystyle \int^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&= \left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{\frac{\pi}{2}}_{-\frac{\pi}{2}}\\\\&=\dfrac{2}{3}\sqrt{4+3 \sin \left(\frac{\pi}{2}\right)}-\dfrac{2}{3}\sqrt{4+3 \sin \left(-\frac{\pi}{2}\right)}\\\\&=\dfrac{2}{3}\sqrt{4+3 (1)}-\dfrac{2}{3}\sqrt{4+3 (-1)}\\\\&=\dfrac{2\sqrt{7}}{3}-\dfrac{2}{3}\\\\&=\dfrac{2\sqrt{7}-2}{3}\end{aligned}\)

Integrate the function between π/2 and π.

As the area is below the x-axis, we need to negate the integral so that the resulting area is positive:

\(\begin{aligned}A_3=-\displaystyle \int^{\pi}_{\frac{\pi}{2}} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&= -\left[\dfrac{2}{3}\sqrt{4+3\sin x}\right]^{\pi}_{\frac{\pi}{2}}\\\\&=-\dfrac{2}{3}\sqrt{4+3 \sin \left(\pi\right)}+\dfrac{2}{3}\sqrt{4+3 \sin \left(\frac{\pi}{2}\right)}\\\\&=-\dfrac{2}{3}\sqrt{4+3 (0)}+\dfrac{2}{3}\sqrt{4+3 (1)}\\\\&=-\dfrac{4}{3}+\dfrac{2\sqrt{7}}{3}\\\\&=\dfrac{2\sqrt{7}-4}{3}\end{aligned}\)

To evaluate the definite integral, sum A₁, A₂ and A₃:

\(\begin{aligned}\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3\sin x}}\; \text{d}x&=\dfrac{2}{3}+\dfrac{2\sqrt{7}-2}{3}+\dfrac{2\sqrt{7}-4}{3}\\\\&=\dfrac{2+2\sqrt{7}-2+2\sqrt{7}-4}{3}\\\\&=\dfrac{4\sqrt{7}-4}{3}\\\\ &\approx2.194\; \sf (3\;d.p.)\end{aligned}\)

Now we have evaluated the definite integral, we can subtract it from 3 to evaluate the given expression:

\(\begin{aligned}3-\displaystyle \int^{\pi}_{-\pi} \dfrac{\cos x}{\sqrt{4+3 \sin x}}\; \text{d}x&=3-\dfrac{4\sqrt{7}-4}{3}\\\\&=\dfrac{9}{3}-\dfrac{4\sqrt{7}-4}{3}\\\\&=\dfrac{9-(4\sqrt{7}-4)}{3}\\\\&=\dfrac{13-4\sqrt{7}}{3}\\\\&\approx 0.806\; \sf (3\;d.p.)\end{aligned}\)

Therefore, the given expression cannot be zero.

Answer:

im gonna say its the last one

Step-by-step explanation:

all of the graphs and histograms ive seen have a 0 at the y

Answer:

$279.45

Step-by-step explanation:

Answer:

380 + 6 + 14

Step-by-step explanation:

The sum of 386 and 14 is 386 + 14 = 400.

To find which stategy he used, we find the results of each sum, and it has to be 400.

380 + 6 + 14

380 + 6 + 14 = 386 + 14 = 400

So this is the strategy that he could have used.

380 + 14 + 14

380 + 14 + 14 = 394 + 14 = 408

Result different of 400, which means that this was not the strategy

386 + 10 + 4 + 14

386 + 10 + 4 + 14 = 386 + 14 + 14 = 408

Result different of 400, which means that this was not the strategy

386 + 14 + 80 + 6

386 + 14 + 80 + 6 = 400 + 86 = 486

Result different of 400, which means that this was not the strategy

Answer:

380 + 6 + 14

Step-by-step explanation:

Hence, 440 cupcakes were sold on that day.

The bakery sold a total of 400 cupcakes that day, with 224 of them being chocolate cupcakes, representing 56 precent of the total.

Use the concept of percentage defined as:

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred.

Given that,

A bakery sold 224 chocolate cupcakes in a day.

The 224 chocolate cupcakes represent 56% of the total number of cupcakes sold that day.

To find the total number of cupcakes sold,

Use the percentage given and some simple math.

If 56% of the cupcakes sold were chocolate cupcakes and that amounts to 224 cupcakes,

Set up the following equation:

0.56 x Total number of cupcakes = 224 cupcakes

To find the total number of cupcakes,

Divide both sides of the equation by 0.56:

Total number of cupcakes = 224 cupcakes / 0.56

Calculating this,

The bakery sold a total of 400 cupcakes that day.

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Answer:

1/12 inches

Step-by-step explanation:

1/2 = 6/12

then:

7/12 - 1/2

is equivalent to:

7/12 - 6/12 = (7-6)/12

= 1/12

After solving simultaneously we found the values for x and y are

2.76 and 5.65 respectively

We have the following two expressions

7x – 2y = 34 --------1

3x + 5y = -3 ---------2

Multiply 1 by eqn 5 and eqn 2 by 2

35x - 10y = 170-------3

6x + 10y = -6 ----------4

subtracting 4 from 3 we have

29 x= 164

divide both sides by 29

x = 164/29

x = 5.65

Put x = 5.65 in eqn 1 to find y

7*5.65 – 2y = 34

39.55 - 2y = 34

39.55-34 = 2y

5.55 = 2y

divide both sides by 2

x = 5.55/2

x = 2.76

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==========================================================

The given graph have four zeros at x = -3 , 0 , 2 , 7

==========================================================

f(x) = x³ + x² -6x

The function f(x) is polynomial has degree = 3

so, it has only 3 zeros

==========================================================

g(x) = (x²+x-6)(x²-7x)   ⇒  By factoring

⇒  By factoring

∴ g(x) = x(x-7)(x+3)(x-2)

∴ g(x) has zeros  at x = -3 , 0 , 2 , 7

==========================================================

h(x) = x(x-7)(x+3)(x-2)

h(x) has zeros  at x = -3 , 0 , 2 , 7

==========================================================

m(x) = (x³-4x²-21x)(x-2)

⇒  By factoring

∴ m(x) = x(x-7)(x+3)(x-2)

∴ m(x) has zeros  at x = -3 , 0 , 2 , 7

==========================================================

n(x) = x²-9x+14

The function f(x) is polynomial has degree = 3

so, it has only 3 zeros

==========================================================

p(x) = x(x+2)(x-3)(x+7)

∴ p(x) has zeros  at x = 3 , 0 , -2 , -7

==========================================================

By comparing zeros of the given graph to zeros of the functions

The result will be:

        The functions that have the same zeros as the graph are

                               g(x) , h(x) and m(x)          

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The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to

To simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.

Expanding the squared terms

(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)

Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:

(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)

Simplifying the expression, we have:

2 + 2sinxcosx + 2

Combining like terms, we get:

4 + 2sinxcosx

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Answer:

$42.00

Step-by-step explanation:

We can represent the given information as a ratio:

% of original price : price

                          5% : $2.00

Then, we can multiply both sides of this ratio by 20 (or 100% / 5%) to get 100% of the original price, which IS the original price.

5%      :  $2.00

↓ × 20   ↓ × 20

100%  :  $40.00

Now that we know the original price, we can add $2.00 to get the new price.

$40.00 + $2.00 = $42.00

Answer:

2a-6b+6c

Step-by-step explanation:

Combine like terms

Answer: -2a + 2c

Step-by-step explanation:

The situation is saying that subtract  4a-3b+2c from 2a-3b+4c.

(2a-3b+4c) - (4a - 3b +2c) Subtract by terms

-2a + 2c