The double reflection r y axis r y=x (ABC) would result in a rotation about the origin at:
A) 45°
B) 90°
C) 180°
D) -90°

Given data:

The first number is 4/9.

The second number is 5/10.

The first number can be written as,

The second number can be written as,

Now compare both numbers as they have same denominator.

Thus, the < symbol must be used between both n

The probability that a cookie contains chocolate or nuts is 40% and does not contain chocolate or nuts is 60%.

i. Venn Diagram:

        ___________________
        |                                        |
        |            C ∩ N                  |
        |_______|___________|
        |               |                        |
        |          C   |   N                  |
        |_______|___________|

ii. To find the probability that a cookie contains chocolate or nuts (denoted by C ∪ N), we can use the inclusion-exclusion principle:

P(C ∪ N) = P(C) + P(N) - P(C ∩ N)

Given:

P(C) = 36%

P(N) = 12%

P(C ∩ N) = 8%

Substituting the values:

P(C ∪ N) = 36% + 12% - 8%

= 40%

Therefore, the probability that a cookie contains chocolate or nuts is 40%.

iii. To find the probability that a cookie does not contain chocolate or nuts (denoted by the complement of C ∪ N), we can subtract the probability of C ∪ N from 100%:

P(not C ∪ N) = 100% - P(C ∪ N)

Substituting the value of P(C ∪ N) calculated in part ii:

P(not C ∪ N) = 100% - 40%

= 60%

Therefore, the probability that a cookie does not contain chocolate or nuts is 60%

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Answer:

-20.59=40

+20.59  +20.59

$60.69

hope this helps

Answer: She would need to deposit $60.59

Step-by-step explanation:

She has: -20.59

She needs: 40

-20.59 + x = 40

+ 20.59 on each side

x = 60.59

Water pours into a fish tank at a rate of 0.3 cubic meters per minute, the water level is rising at a rate of 1/60 m/min

Given

Let, h is the height of the water level in the fish tank after t minutes. Then, the volume of the water in the fish tank after t minutes is given by \(V = Area of the base * height V = 6 * h m^3\)The rate at which water pours into the fish tank is 0.3 cubic meters per minute.

Therefore, the rate of change of volume of the water in the fish tank after t minutes is \(dV/dt = 0.3 m^3/min\). As per the chain rule of differentiation,\(dV/dt = dV/dh *dh/dt\) We have\(V = 6h^3m^3 \Rightarrow  dV/dh = 18h^2\Rightarrow  dV/dt = 18h^2 * dh/dt\) Given that,\(dV/dt = 0.3 m^3/min\). Therefore,\(0.3 = 18h^2 * dh/dt \Rightarrow  dh/dt = 0.3/18= 1/60 m/min\) Hence, the water level is rising at a rate of 1/60 m/min.

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Answer: -10 degrees

Step-by-step explanation:

    If it drops 6 degrees per hour, then we can use multiplication to see how much it will have dropped after 3 hours:

          6 degrees * 3 hours = 18 degrees

     If the temperature is 8 degrees, and it drops 18 degrees, we will subtract:

         8 degrees - 18 degrees = -10 degrees

Answer:

26 degrees.

Step-by-step explanation:

The temperature will increase by 6 degrees per hour for three hours, so the final temperature after three hours will be:

\(\sf:\implies{8 + 6 \times 3 = 8 + 18 = 26 }\)

Therefore, the temperature at the end of three hours is 26 degrees.

Answer:

a

Step-by-step explanation:

Answer:

86

hope this helps!

add me as a friend if u can<3

Answer:

86

Step-by-step explanation:

Express 29% as a decimal, which is 0.29

Then divide 24.94 by 0.29, which gives you 86.

For the general quadratic equation:

the solutions are given by the quadractic formula

The discriminant tells you how many possible solutions a particular quadratic equation has and is given by the term into the square root:

If the discriminant is negative, the quadratic equation has no real solutions because the square root of negative numbers is not defined (yet)

The real solutions correspond to the x-intercepts of a given graph. Then, the answer is: x-intercepts. That is because the equation

is the same as

that is, the solutions are the x-values where y is equal to zero, which are the x-intercepts.

In other words, they are the locations where the function crosses or touches the x-axis

The researchers used a sample of mice in a maze experiment to study learned behavior. They timed each mouse on its first run through the maze and again on its tenth run through the maze, recording the difference in times for each mouse.

The maze experiment is a common method used by researchers to study the learned behavior of animals, including mice. In this experiment, a maze is set up with food placed at the end to motivate the mouse to find its way through the maze. The researchers time the mouse on its first run through the maze to establish a baseline for the mouse's performance. They then repeat the experiment by timing the mouse on its tenth run through the maze to see if the mouse has learned and improved its performance. By subtracting the time of the first run from the time of the tenth run, the researchers can measure the difference in time and assess how much the mouse has learned.

The difference in time between the first and tenth run can be used as a measure of learning, and statistical analysis can be applied to identify significant changes in the mouse's performance. This type of experiment can be useful for studying the effects of different variables on learning, such as different training methods or drug treatments. The maze experiment can also be adapted to study other aspects of animal behavior, such as memory and decision-making.

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The number of calcium ions in 2.5 g of calcium phosphate (Ca3(PO4)2), we use stoichiometry and Avogadro's number. The calculation yields approximately 2.4 x 10^21 Ca2+ ions.

1. Calculate the molar mass of calcium phosphate (Ca3(PO4)2):

  - Ca: 3 atoms x atomic mass of Ca = 3 x 40.08 g/mol = 120.24 g/mol

  - P: 2 atoms x atomic mass of P = 2 x 30.97 g/mol = 61.94 g/mol

  - O: 8 atoms x atomic mass of O = 8 x 16.00 g/mol = 128.00 g/mol

  Total molar mass of Ca3(PO4)2 = 120.24 g/mol + 61.94 g/mol + 128.00 g/mol = 310.18 g/mol.

2. Use the molar mass to convert grams to moles:

  Moles of Ca3(PO4)2 = (2.5 g) / (310.18 g/mol) ≈ 0.00806 mol.

3. Determine the stoichiometry of the compound to find the number of moles of calcium ions (Ca2+):

  In Ca3(PO4)2, the ratio of Ca2+ ions to Ca3(PO4)2 is 3:1.

  Moles of Ca2+ ions = (0.00806 mol) x (3/1) = 0.0242 mol.

4. Apply Avogadro's number to calculate the number of calcium ions:

  Number of Ca2+ ions = (0.0242 mol) x (6.022 x 10^23 ions/mol) ≈ 1.46 x 10^22 ions.

However, since Ca3(PO4)2 contains three calcium ions per formula unit, the total number of calcium ions is:

  Total number of Ca2+ ions = (1.46 x 10^22 ions) x 3 = 4.38 x 10^22 ions.

Rounded to the appropriate significant figures, the number of calcium ions in 2.5 g of calcium phosphate is approximately 2.4 x 10^21 Ca2+ ions.

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\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}\)

Answer:

4 + 6 = 10 * 4 =40

Step-by-step explanation:

sana makatulong

His child is 10 years old.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Given

Assume now his child's age is x

4x-4  = 6(x-4)

4x-4 = 6x - 24

-4+24 = 6x-4x

20 = 2x

x=10

His child is 10 years old.

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Answer: SAA

Step-by-step explanation: I just had this one.

Answer:

x = 25

Step-by-step explanation:

According to the hint: The two angle measures would add up to 180°.

\((5x+10)+(2x-5)=180\\\\5x+10+2x-5=180\\\\5x+2x+10-5=180\\\\7x+5=180\\\\7x+5-5=180-5\\\\7x=175\\\\\frac{7x=175}{7}\\\\\boxed{x=25}\)

Hope this helps.

5x+10+2x-5=180

7x-5=180

    +5  +5

7x=185

7     7

x=26.4285714286

x= 26

Answer:

isolate the variable by dividing each side by factors that don't contain the variable. ANS: x>3

Answer:

do in steps as shown below

Step-by-step explanation:

Given)    x+6-2(x-4)+5x-9 > -2/3(9x+18)-(24x-100)+19

step 1)    x+6-2x+8+5x-9 > -6x-12-24x+100+19

step 2)   4x+5 > -30x+107

step 3)    34x > 102

step 4)    X > 3         (b/c 102/34=3)  :)

step 5)  So any number greater than 3, will make this a true, and accurate statement.  

The tray's area is 28.27 square inches.

The formula for the area of a circle is A = π\(r^{2}\), where A is the area and r is the radius.

In this case, the radius of the tray is given as 3 inches. So, we can substitute this value into the formula:

A = π\(r^{2}\) = 3.14 x \(3^{2}\) = 3.14 x 9 = 28.26

Therefore, the area of the tray is 28.26 square inches.

Rounding this answer to the nearest hundredth gives:

A ≈ 28.27

So, the tray's area is approximately 28.27 square inches.

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The values of the three trigonometric ratios for angle L, in simplest form, are:

Given -

The triangle LMN is given in the question.

As the trigonometric properties of a triangle state that the value of sin, cos, and tan for the respective angle can be written as:

Using the above trigonometric properties, the value of sin(L):

Similarly, the value of cos(L):

And, the value of tan(L) is:

Therefore, the values of the three trigonometric ratios for angle L, in simplest form, are:

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The question you are looking for is given below:

What are the values of the three trigonometric ratios for angle L, in simplest form?

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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The number of adult tickets that were sold would be = 435 tickets.

A ticket is an official document that gives an individual access to an event.

The cost of adult tickets = $8

The cost for student tickets = $4

The number of students tickets sold = X

The number of adults tickets sold = X +30

The told number of tickets sold = 840

To find X;

X + X + 30 = 840

2x + 30 = 840

2x = 840-30

2x = 810

X = 810/2

X = 405

Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.

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The correct responses for the linear and exponential functions are;

An exponential function is  one that has the argument as an exponent

1. The functions in the question are;

y = 4ᵃ + 1 and y = -2·x + 7

A linear function is of the form, y = m·x + c

Where;

m = The slope

c = The y-intercept

By comparison, the y-intercept of the linear function is 7

2. The standard form of the exponential function is; y = a·bᵃ + q

Where the y-intercept is a + q

The y-intercept of the exponential function is therefore;

y = 4⁰ + 1 = 1 + 1 = 2

The y-intercept of the exponential function is 2

3. The solution can be obtained from the equation;

4ᵃ + 1 = -2·x + 7, we get;

4ᵃ = -2·x + 7 - 1 = -2·x + 6

When x = 1,

4¹ = -2×1 + 6 = 4

The number of points of intersection obtained by plotting the functions is 1

4. The y-value of the solution is therefore;

y = 4¹ + 1 = 5

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To answer this question, we need to consider the area under the graph of the function f for different intervals. Let's look at each interval separately:

a) ∫0 to 8 f(x) dx: This integral represents the area under the graph of f from x = 0 to x = 8. From the graph, we can see that the area under the curve for this interval is negative, since the curve is below the x-axis. Therefore, the value of this integral is negative.

b) ∫5 to 8 f(x) dx: This integral represents the area under the graph of f from x = 5 to x = 8. From the graph, we can see that the area under the curve for this interval is positive, since the curve is above the x-axis. Therefore, the value of this integral is positive.

c) ∫4 to 8 f(x) dx: This integral represents the area under the graph of f from x = 4 to x = 8. From the graph, we can see that the area under the curve for this interval is greater than the area under the curve for interval b, since the curve is higher above the x-axis. Therefore, the value of this integral is greater than the value of integral b.

d) ∫0 to 4 f(x) dx: This integral represents the area under the graph of f from x = 0 to x = 4. From the graph, we can see that the area under the curve for this interval is greater than the area under the curve for interval a, since the curve is higher above the x-axis. Therefore, the value of this integral is greater than the value of integral a.

Therefore, the quantities listed in increasing order from smallest to largest are:

a) ∫0 to 8 f(x) dx (negative)
b) ∫5 to 8 f(x) dx (positive)
c) ∫4 to 8 f(x) dx (greater than b)
d) ∫0 to 4 f(x) dx (greater than a)

In summary, the area under the graph of a function can be used to compare integrals for different intervals. By analyzing the graph and determining the sign and magnitude of the area under the curve for each interval, we can list the integrals in increasing or decreasing order.

a)  \(\int\limits^8_0 {f(x)} \, dx\), the value of this integral is negative.

b)  \(\int\limits^8_5 {f(x)} \, dx\), the value of this integral is positive.

c) ) \(\int\limits^8_5 {f(x)} \, dx\) , the value of this integral is greater than the value of integral b.

d)   \(\int\limits^4_0 {f(x)} \, dx\), the value of this integral is greater than the value of integral a.

What is the function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Here, we have
Given:  the area under the graph of the function f for different intervals.

a) \(\int\limits^8_0 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 0 to x = 8.

We can see that the area under the curve for this interval is negative since the curve is below the x-axis.

Hence, the value of this integral is negative.

b) \(\int\limits^8_5 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 5 to x = 8.

We can see that the area under the curve for this interval is positive since the curve is above the x-axis.

Hence, the value of this integral is positive.

c) \(\int\limits^8_4 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 4 to x = 8.

We can see that the area under the curve for this interval is greater than the area under the curve for interval b since the curve is higher above the x-axis.

Hence, the value of this integral is greater than the value of integral b.

d) \(\int\limits^4_0 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 0 to x = 4.

We can see that the area under the curve for this interval is greater than the area under the curve for interval a since the curve is higher above the x-axis.

Hence, the value of this integral is greater than the value of integral a.

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With the circumference of a round tablecloth as 17.27 feet , then the diameter of the table cloth will be 5.5 feet .

The formula for the circumference of a circle is given by:

C = 2 * π * r

where C is the circumference, π is approximately equal to 3.14, and r is the radius of the circle.

To find the diameter, we can rearrange the formula to solve for r:

r = C / (2 * π)

Plugging in the values, we get:

r = 17.27 / (2 * 3.14) = 17.27 / 6.28 = 2.75 feet

The diameter of the tablecloth is 2 times the radius, so we can calculate it as:

d = 2 * r = 2 * 2.75 = 5.5 feet

Therefore, the diameter of the tablecloth is 5.5 feet.

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Answer: B. 6

Step-by-step explanation:

I think 6 because it says seven liked football and 10 liked basketball, so 1 didn't pick.

We also know that 5 like both and 1 didn't pick, so 1 + 5 = 6 students

If the length of the cushion measures 12 in, the width measures 10 in, and the height measures 3 in, 372 sq in. fabric Greg needed to cover the cushion. The correct option is C, 372 sq in.

To determine the amount of fabric needed to cover the cushion, we need to calculate the surface area of the cushion. The surface area of a rectangular cushion is given by the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the cushion.

Plugging in the given measurements, we get:

2(12 x 10) + 2(12 x 3) + 2(10 x 3) = 240 + 72 + 60 = 372 sq in.

Therefore, Greg needs 372 square inches of fabric to cover the cushion.

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Answer:

Each apple costs 0.85 and each orange costs 0.65.

Step-by-step explanation:

5a+o = 4.90

3a+6o = 6.45

Multiply the first by 3 and the second by 5 and subtract the second from the first.

15a+3o = 14.70

15a+30o = 32.25

27o = 17.55

o=0.65

Plug back in the first.

5a+0.65=4.90

5a=4.25

a=0.85

Answer:

the third one

Step-by-step explanation:

Prove that :

\( \sf \: { |\vec{A} + \vec{B}| }^{2} - { |\vec{A} - \vec{B}| }^{2} = 4 \: \vec{A} \: . \: \vec{B}\)

\( \green{\large\underline{\sf{Solution-}}}\)

Consider, LHS

\(\rm :\longmapsto\: { |\vec{A} + \vec{B}| }^{2} - { |\vec{A} - \vec{B}| }^{2} \)

We know,

\(\rm :\longmapsto\:\boxed{\tt{ |\vec{x}| ^{2} = \vec{x}.\vec{x}}}\)

So, using this, we get

\(\rm \:  =  \: (\vec{A} + \vec{B}).(\vec{A} + \vec{B}) - (\vec{A} - \vec{B}).(\vec{A} - \vec{B})\)

\(\rm \:  =  \:[ \vec{A}.\vec{A} + \vec{A}.\vec{B} + \vec{B}.\vec{A} + \vec{B}.\vec{B}] - [\vec{A}.\vec{A} - \vec{A}.\vec{B} - \vec{B}.\vec{A} + \vec{B}.\vec{B}]\)

\(\rm \:  =  \: [ { |\vec{A}| }^{2} + \vec{A}.\vec{B} + \vec{A}.\vec{B} + { |\vec{B}| }^{2}] - [ { |\vec{A}| }^{2} - \vec{A}.\vec{B} - \vec{A}.\vec{B} + { |\vec{B}| }^{2}]\)

\(\red{ \bigg\{  \sf \: \because \: \vec{A}.\vec{B} = \vec{B}.\vec{A} \bigg\}}\)

\(\rm \:  =  \: [ { |\vec{A}| }^{2} + 2\vec{A}.\vec{B} + { |\vec{B}| }^{2}] - [ { |\vec{A}| }^{2} -2 \vec{A}.\vec{B} + { |\vec{B}| }^{2}]\)

\(\rm \:  =  \: { |\vec{A}| }^{2} + 2\vec{A}.\vec{B} + { |\vec{B}| }^{2}- [{ |\vec{A}| }^{2} + 2 \vec{A}.\vec{B} - { |\vec{B}| }^{2}\)

\(\rm \:  =  \: 4 \: \vec{A}.\vec{B}\)

Hence,

\( \sf \:\boxed{\tt{ \: \: { |\vec{A} + \vec{B}| }^{2} - { |\vec{A} - \vec{B}| }^{2} = 4 \: \vec{A} \: . \: \vec{B} \: \: }}\)

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

\(\boxed{\tt{ \vec{A}.\vec{B} = \vec{B}.\vec{A}}}\)

\(\boxed{\tt{ \vec{A}.\vec{A} = { |\vec{A}| }^{2} }}\)

\(\boxed{\tt{ \vec{A} \times \vec{B} = - \vec{B} \times \vec{A}}}\)

\(\boxed{\tt{ \vec{A} \times \vec{A} = 0}}\)

\(\boxed{\tt{ \vec{A}.\vec{B} = 0 \: \rm\implies \:\vec{A} \: \perp \: \vec{B}}}\)

\(\boxed{\tt{ \vec{A} \times \vec{B} = 0 \: \rm\implies \:\vec{A} \: \parallel \: \vec{B}}}\)

The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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Answer:

the graphing is in the picture, I hope this helps!

Step-by-step explanation: