Sam plays a game using a spinner like the one shown. blue red white yellow red white yellow blue blue red red white Which event has a probability of 3/4?​

Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

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

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

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Answer:

2(s + 12)

Step-by-step explanation:

Factor out the common factor 2:  2(s + 12)

Answer:

2(s+12)

Step-by-step explanation:

So what you want to find is a common factor. Then put it in the parentheses with the s.

Answer:

false

Step-by-step explanation:

the first quadrant of a coordinate plane is the upper right corner

this means that both x and y coordinates of a point would have to be positive

therefore it's false

hope this helps!

The equation of an exponential function is y = a(b^x)

An exponential function is a mathematical function that has a constant base raised to a variable exponent.  Exponential functions are used to model processes that exhibit exponential growth or decay, such as population growth, radioactive decay, or the spread of infectious diseases.

The general form of an exponential function is:

f(x) = ab^x

where a is the initial value, b is the base, and x is the variable exponent. If the base is greater than 1, the function will exhibit exponential growth, while if the base is between 0 and 1, the function will exhibit exponential decay.

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Answer:

  1.  The angles do not have the same reference angle

Step-by-step explanation:

The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)

The angles do not have the same reference angle.

_____

5π/6 has a reference angle of π/6.

5π/3 has a reference angle of π/3.

Answer:

The angles do not have the same reference angle.

Step-by-step explanation:

2π = 360°

π = 180°

5π/6 = \(\frac{5 * 180}{6}\) = 150° (The reference angle here is 180° - 150° = 30°

5π/3 = \(\frac{5 * 180}{3}\) = 300° (The reference angle here is 360° - 300° = 60°)

The reference angles are not the same and so the value of their tangents are not equal.

The probability mass function of the number of components in the assembly that meet specifications.

In this case, 0.0162 + 0.2376 + 0.7472 = 1, which confirms that the PMF is valid.

To determine the probability mass function (PMF) of the number of components in the assembly that meet specifications, we can consider the possible values of X, where X represents the number of components meeting specifications.

Possible values of X: 0, 1, 2 (since there are only two components)

Probability of X = 0: Both components fail to meet specifications

P(X = 0) = (1 - 0.91) * (1 - 0.82) = 0.09 * 0.18 = 0.0162

Probability of X = 1: One component meets specifications, while the other fails

P(X = 1) = (0.91) * (1 - 0.82) + (1 - 0.91) * (0.82) = 0.091 * 0.18 + 0.09 * 0.82 = 0.1638 + 0.0738 = 0.2376

Probability of X = 2: Both components meet specifications

P(X = 2) = (0.91) * (0.82) = 0.7472

Therefore, the probability mass function of the number of components in the assembly that meet specifications is:

P(X = 0) = 0.0162

P(X = 1) = 0.2376

P(X = 2) = 0.7472

Note: The sum of the probabilities in a probability mass function must equal 1. In this case, 0.0162 + 0.2376 + 0.7472 = 1, which confirms that the PMF is valid.

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Answer:

sin20°

Step-by-step explanation:

Using the cofunction identity

cosx = sin(90 - x) , thus

cos70° = sin(90 - 70)° = sin20°

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

n/4 - 3 OR 1/4n - 3

Step-by-step explanation:

First, let's assign a variable to Emily's number.  Let is be x.

Now all we have to do is go through the problem step by step.

"She finds 1/4 of the number..."

There are two ways you can do this.  You can either multiply n by 1/4 (1/4n), or you can divide by 4 (dividing by four is the same as finding 1/4 of a number).  For this example let's divide by four

n/4

"...and then subtracts 3."

All we have to do is subtract 3 from n/4

n/4 - 3

REMEMBER: like I said, there are two possible options.  You can either have n/4 or 1/4n. They mean the same thing

Answer:

1/4n - 3

Step-by-step explanation:

The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.

The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).

By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.

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The sequence cos(0),cos(π),cos(2π),cos(3π),cos(4π),… can be represented as a function k: N -> R, where N is the set of natural numbers and R is the set of real numbers. The domain of the function is the set of natural numbers, and the codomain is the set of real numbers. The function l: N -> {-1,1}, where l(n) = (-1)^(n).

The sequence 1,14,19,116,… can be represented as a function f: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: f(1) = 1, f(2) = 14, f(3) = 19, f(4) = 116, and so on.
The sequence 13,19,127,181,… can be represented as a function g: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: g(1) = 13, g(2) = 19, g(3) = 127, g(4) = 181, and so on. The domain of the function is the set of natural numbers, and the codomain is also the set of natural numbers. We can see that this sequence is not equal to any of the other sequences given.

The sequence 1,−1,1,−1,1,−1,… can be represented as a function h: N -> {-1,1}, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: h(1) = 1, h(2) = -1, h(3) = 1, h(4) = -1, and so on. The domain of the function is the set of natural numbers, and the codomain is the set {-1,1}. We can see that this sequence is equal to the function f: N -> {-1,1}, where f(n) = (-1)^(n+1).

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Answer:

The value of n is 1/2.

Step-by-step explanation:

\( {25}^{2n + 1} = 625\)

\( log_{25}(625) = 2n + 1\)

\(2 = 2n + 1\)

\(2n = 1\)

\(n = \frac{1}{2} \)

The solution for the given equation is n=624/625.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 25²n+1=625.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 625n+1=625

625n=624

n=624/625

Therefore, the solution for the given equation is n=624/625.

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The angle at the intersection point between the curves y = 2x² and y = x for x > 0 is approximately -18.43 degrees.

To find the angle at the intersection point between the curves y = 2x² and y = x for x > 0, we need to find the slopes of the tangent lines to each curve at the point of intersection.

Step 1: Find the point of intersection.

To find the point of intersection, we set the two equations equal to each other:

2x² = x

2x² - x = 0

x(2x - 1) = 0

From this, we have two possibilities: either x = 0 or 2x - 1 = 0. However, we are interested in the case where x > 0, so we focus on the second equation:

2x - 1 = 0

2x = 1

x = 1/2

Thus, the point of intersection is (1/2, 1/2).

Step 2: Find the slopes of the tangent lines.

To find the slope of the tangent line at a given point, we take the derivative of the equation of the curve.

For y = 2x², we take the derivative with respect to x:

dy/dx = 4x

For y = x, the derivative is simply:

dy/dx = 1

Step 3: Evaluate the slopes at the point of intersection.

We substitute x = 1/2 into the derivatives to find the slopes at the point (1/2, 1/2):

For y = 2x²:

dy/dx = 4(1/2) = 2

For y = x:

dy/dx = 1

Step 4: Calculate the angle between the tangent lines.

The angle between two lines is given by the formula:

tan θ = (m2 - m1) / (1 + m1m2),

where m1 and m2 are the slopes of the tangent lines.

Substituting the slopes we found:

tan θ = (1 - 2) / (1 + 2(1)) = -1/3

Finally, we can find the angle θ by taking the arctan of -1/3:

θ = arctan(-1/3) ≈ -18.43 degrees.

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Answer:

\( \frac{15}{16} \\ \frac{90}{96} \\ \frac{135}{144 } \)

Answer:

15/16, 90/96 and 135/144. hope it helps

Answer:

6> X · X ÷ 4²·y+8 - 12m+7

Step-by-step explanation:

Answer:

y = \(\frac{1}{2}\)

Step-by-step explanation:

Given y is inversely proportional to x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

To find k use the condition y = 5 when x = 7, then

5 = \(\frac{k}{7}\) ( multiply both sides by 7 )

35 = k

y = \(\frac{35}{x}\) ← equation of variation

When x = 70, then

y = \(\frac{35}{70}\) = \(\frac{1}{2}\)

Answer:

9. Let's simplify step-by-step.

Ans. 5x + 24 + 147

Combine Like Terms:

= 5x + 24 + 147

= ( 5x ) + ( 24 + 147 )

= 5x + 171

10.  Let's simplify step-by-step.

Ans. 3x + ( 7x + 10 )

Combine Like Terms:

( 3x + 7x ) + 10

10x +10

11.  Let's simplify step-by-step.

Ans. 5x + ( 2 + 3 )

5x + 5

12. 4 * 10

Ans. 40

13. 3 ( 12x )

Ans. 36x

14. 14r + 9y + 6x

Ans. 14r + 6x + 9y

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

-3 for the first box and -69 for the second one.

Step-by-step explanation:

Answer:Yes

Step-by-step explanation:

Aluminum chloride plus hydrogen

Answer:

yes and?

Step-by-step explanation:

Part a

\(|5x-3|=12\\\\5x-3=\pm 12\\\\5x=3 \pm 12\\ \\ 5x=-9, 15\\\\x=-\frac{9}{5}, 3\)

Part b

\(|x+8|=2\\\\x+8=\pm 2\\\\x=-8 \pm 2\\\\x=-10, -6\)

Part c

The equation has no solutions because the absolute value function provides non-negative outputs.

The value of the sides based on the altitude will be:

Sin R = 5 / 3

COS R = 12 / 13

Tan R = = 5 / 12

Sin T = 12 / 13

COS T = 5 / 13

Tan T = 12 / 5

Altitude or height is a distance measurement, usually in the vertical or "up" direction, between a reference datum and a point or object. The exact definition and reference datum varies according to the context.

Sin R = 15 / 39 = 5 / 3

COS R = 36 / 39 = 12 / 13

Tan R = 15 / 36 = 5 / 12

Sin T = 36 / 39 = 12 / 13

COS T = 15 / 39 = 5 / 13

Tan T = 36 / 15 = 12 / 5

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Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

1) Directrix is y=4, focus is (-3,2), and vertex is (-3,3).

2) Directrix y=-6, focus (2,-4), vertex (2,-5)

Answer:A on edge

Step-by-step explanation:

The factored form of the polynomial is mathematically given as

(z-5)(z-5)

Generally, the equation for the polynomial is mathematically given as

z2−10z+25

Therefore, using

-5+-5 = -10 and -5*-5 = 25

We have

(z-5)(z-5)

In conclusion, The factored form of the polynomial is

(z-5)(z-5)

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Bert and his mom bought their computers at different stores. Bert spent about $20 less than his mom on his computer.

Since Bert spent about $20 less than his mom, it implies that their computers had different prices. Bert's computer was cheaper compared to his mom's computer. The specific stores where they made their purchases are not mentioned in the given information.

It is likely that Bert and his mom found their respective deals at different retailers or took advantage of different sales or promotions. Without further details, we cannot determine the exact stores where Bert and his mom bought their computers.

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Answer:    The elimination method is a technique for solving systems of linear equations. Let's walk through a couple of examples.

Example 1

We're asked to solve this system of equations:

\begin{aligned} 2y+7x &= -5\\\\ 5y-7x &= 12 \end{aligned}

2y+7x

5y−7x

​

=−5

=12

​

We notice that the first equation has a 7x7x7, x term and the second equation has a -7x−7xminus, 7, x term. These terms will cancel if we add the equations together—that is, we'll eliminate the xxx terms:

\begin{aligned} 2y+\redD{7x} &= -5 \\ +~5y\redD{-7x}&=12\\ \hline\\ 7y+0 &=7 \end{aligned}

2y+7x

+ 5y−7x

7y+0

​

=−5

=12

=7

​

​

Solving for yyy, we get:

\begin{aligned} 7y+0 &=7\\\\ 7y &=7\\\\ y &=\goldD{1} \end{aligned}

7y+0

7y

y

​

=7

=7

=1

​

Plugging this value back into our first equation, we solve for the other variable:

\begin{aligned} 2y+7x &= -5\\\\ 2\cdot \goldD{1}+7x &= -5\\\\ 2+7x&=-5\\\\ 7x&=-7\\\\ x&=\blueD{-1} \end{aligned}

2y+7x

2⋅1+7x

2+7x

7x

x

​

=−5

=−5

=−5

=−7

=−1

​

The solution to the system is x=\blueD{-1}x=−1x, equals, start color #11accd, minus, 1, end color #11accd, y=\goldD{1}y=1y, equals, start color #e07d10, 1, end color #e07d10.

We can check our solution by plugging these values back into the original equations. Let's try the second equation:

\begin{aligned} 5y-7x &= 12\\\\ 5\cdot\goldD{1}-7(\blueD{-1}) &\stackrel ?= 12\\\\ 5+7 &= 12 \end{aligned}

5y−7x

5⋅1−7(−1)

5+7

​

=12

=

?

12

=12

​

Yes, the solution checks out.

If you feel uncertain why this process works, check out this intro video for an in-depth walkthrough.

Example 2

We're asked to solve this system of equations:

\begin{aligned} -9y+4x - 20&=0\\\\ -7y+16x-80&=0 \end{aligned}

−9y+4x−20

−7y+16x−80

​

=0

=0

​

We can multiply the first equation by -4−4minus, 4 to get an equivalent equation that has a \purpleD{-16x}−16xstart color #7854ab, minus, 16, x, end color #7854ab term. Our new (but equivalent!) system of equations looks like this:

\begin{aligned} 36y\purpleD{-16x}+80&=0\\\\ -7y+16x-80&=0 \end{aligned}

36y−16x+80

−7y+16x−80

​

=0

=0

​

Adding the equations to eliminate the xxx terms, we get:

\begin{aligned} 36y-\redD{16x} +80&=0 \\ {+}~-7y+\redD{16x}-80&=0\\ \hline\\ 29y+0 -0&=0 \end{aligned}

36y−16x+80

+ −7y+16x−80

29y+0−0

​

=0

=0

=0

​

​

Solving for yyy, we get:

\begin{aligned} 29y+0 -0&=0 \\\\ 29y&=0 \\\\ y&=\goldD 0 \end{aligned}

29y+0−0

29y

y

​

=0

=0

=0

​

Plugging this value back into our first equation, we solve for the other variable:

\begin{aligned} 36y-16x+80&=0\\\\ 36\cdot 0-16x+80&=0\\\\ -16x+80&=0\\\\ -16x&=-80\\\\ x&=\blueD{5} \end{aligned}

36y−16x+80

36⋅0−16x+80

−16x+80

−16x

x

​

=0

=0

=0

=−80

=5

​

The solution to the system is x=\blueD{5}x=5x, equals, start color #11accd, 5, end color #11accd, y=\goldD{0}y=0y, equals, start color #e07d10, 0, end color #e07d10.

Want to see another example of solving a complicated problem with the elimination method? Check out this video.

Practice

PROBLEM 1

Solve the following system of equations.

\begin{aligned} 3x+8y &= 15\\\\ 2x-8y &= 10 \end{aligned}

3x+8y

2x−8y

​

​

Step-by-step explanation:

Answer:

Perimeter of sector is 47.93 cm which is greater than 47.5 cm

Step-by-step explanation:

Mathematically, the perimeter of a sector is length of the arc plus 2 radii

The length of the arc is;

theta/360 * 2 * pi * r

where theta is the angle subtended by the arc at the center of the circle

Thus, we have

135/360 * 2 * 22/7 * 11 = 25.93

Add 2 radii = 25.93 + 2(11) = 47.93 cm

This is greater than what we are asked to calculate and thus we have shown what we are asked to show

Answer:

47.9cm>47.5cm

Step-by-step explanation:

135(angle) /360 x 2 pi r (to give arc of the sector)

135/360 x 2 x 3.142 x 11 = 25.92cm

add 11 + 11 (radius)

25.92 + 22= 47.9cm