some girls who excelled at math/science in elementary school, during puberty may fear focusing on these may limit popularity or attractiveness as girls.

Hello!

First, let's write the possible options:

Dice: 6 different results.

• 1, 2, , 4, 5, 6.

Spinner: 4 different results.

• A, B, C, D.

Knowing it, let's solve each alternative of your exercise:

In the dic, we have 6 possible results and we want a specific number. SOo, we can write it as 1/6.

In the spinner, we have 4 possible results and we want a specific one too. So, we have 1/4.

Now, remember he r"and" rule: when we consider two events happening simultaneously, we must multiply their probabilities.

Solving:

We'll solve it in a similar way.

We have three possible odd numbers (1, 3, 5) in a total of 6 options. So, 3/6 = 1/2.

For the spinner, the reasoning will be the same: 1/.

Let's calculate:

In a dice, we have four numbers less than 5: 1, 2, 3,4.

In the spinner, there are 3 consonants (B, C, D).

Let's calculate:

\(y=-\dfrac 14 x~~....(i)\\\\x+2y = 4~~...(ii)\\\\\text{Substitute}~~ y= -\dfrac 14 x ~~ \text{in equation (ii):}\\ \\ \\x+2\left(-\dfrac 14 x \right) = 4\\\\\implies 4x -2x = 16~~~~;\left[\text{Multiply both sides by 4} \right]\\\\\implies 2x = 16\\\\\implies x =\dfrac{16}2 \\ \\\implies x =8\\\\\text{Substitute x = 8 in equation (i);}\\\\y= -\dfrac 14 \cdot 8 = -2\\\\\text{Hence,}~ (x,y) = (8,-2)\)

Answer:

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

\(x + 2y = 4 \\ \)

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

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

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

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

\(2x - x = 8\)

\(x = 8\)

\(x + 2y = 4 \\ \)

\(8 + 2y = 4\)

\(2y = 4 - 8\)

\(2y = - 4\)

\(y = - 2\)

a) The distance from P to the y-intercept of the line is approximately 1.32. b) The equation of line passing through (0, -1) and perpendicular to the line 4x-8y=1 is y = -2x - 1.

a) To find the distance from P(1, -1) to the y-intercept of the line 4x-8y=1, we can first find the y-intercept of the line by setting x=0:

4(0)-8y=1

-8y=1

y=-1/8

The y-intercept of the line is (-0.125, 0). We can then use the distance formula to find the distance between P and the y-intercept:

distance = sqrt((1 - (-0.125))^2 + (-1 - 0)^2) = sqrt(1.015625 + 1) ≈ 1.32

Therefore, the distance from P to the y-intercept of the line is approximately 1.32.

b) To find the equation of the line line passing through (0, -1) and perpendicular to the line 4x-8y=1, we can first find the slope of the line 4x-8y=1 by rearranging it in slope-intercept form:

4x-8y=1

-8y=-4x+1

y=0.5x-0.125

The slope of the line is 0.5. Since li is perpendicular to this line, its slope is the negative reciprocal of 0.5, which is -2. Therefore, the equation of li in point-slope form is: y - (-1) = -2(x - 0)

y + 1 = -2x

Simplifying, we get: y = -2x - 1

Therefore, the equation of li passing through (0, -1) and perpendicular to the line 4x-8y=1 is y = -2x - 1.

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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

0.34

Step-by-step explanation:

Total: $4.25

Sales tax: 8% or 0.08

Do $4.25 x 0.08 to find the tax. The answer is 0.34.

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

a)The given expression is; x + 9/2

b) The smallest number is  0.104

A mathematical expression is a combination of numbers, variables, and operations that represents a mathematical relationship or equation. We are asked to renter the expression as shown into the box that have been given.

If we arrange the numbers in order, we can see that the decreasing order of the numbers would take the form;

104 > 10.4 > 1.04 > 0.104

Thus we can see that the number that is smallest is  0.104.

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Given:

A graph that contains image and preimage.

To find:

Which figure is the preimage and which figure is the image.

Solution:

Initial figure is known as preimage and translated figure is known as image.

It is given that a triangle was translated 4 units down. It means, the upper triangle is preimage and the lower triangle is the image.

So, ΔFGH is the pre-image and ΔABC is the image.

Therefore, the correct option is B.

the answer is B :0

i got it right on my assignment !!!!

No, the sample of 5 young students in the elementary school is not likely to be representative of the school as a whole. To get a more accurate representation, a larger and more diverse sample size should be surveyed.

No, a sample size of only 5 young students in an elementary school is not likely to be representative of the school as a whole. In order to get a better understanding of the school population and have a more accurate representation, a larger and more diverse sample should be surveyed. The sample size should be large enough to ensure that it accurately reflects the diversity of the school, including different socio-economic backgrounds, ages, and races. Furthermore, it should also include a mix of genders and different academic abilities. If the sample size is too small or does not reflect the school population accurately, the results of the survey may not be reliable. Thus, a larger and more diverse sample should be used in order to get a more representative representation of the school.

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Answer:

x - 10 = 0

Step-by-step explanation:

Vertical line passing through this point should be perpendicular to x - axis and parallel to y - axis, and this point should be in Quadrant IV.

In this case,

y = 0

x = 10

Therefore,

the equation is

x - 10 = 0

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The probability of winning the game is 1/11.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.

Given:

If we win the first time on the 11th game played.

So, we can consider the total is 11.

So, the  probability of winning the game

= 1/11

Hence, the probability of winning the game is 1/11.

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The value of solution of the equation is,

⇒ C₁ cos (2x) + C₂ sin (2x) - 1/4 x cos (2x)

Given that;

The 2nd order non-homogeneous linear differential equation,

⇒ y" + 4y = sin (2x)

And, the general solution y (c) = C₁ cos(2x) + C₂ sin(2x) to the associated homogeneous equation.

Now, We have;

The 2nd order non-homogeneous linear differential equation,

⇒ y" + 4y = sin (2x)

Hence, Its auxiliary equation is,

⇒ m² + 4 = 0

⇒ m = ± 2i

Since, the general solution y (c) = C₁ cos(2x) + C₂ sin(2x) to the associated homogeneous equation.

And, Let particular solution is,

⇒ y (p) = A cos 2x + B sin (2x)

Now, After solving we get;

⇒ A = 0

⇒ B = - 1/4

Thus, The value of solution of the equation is,

⇒ y (c) + y (p)

⇒ C₁ cos (2x) + C₂ sin (2x) - 1/4 x cos (2x)

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Answer: 5,000,000

Step-by-step explanation:

Simply add them together, and then put the zeros in with it.

Answer:

Step-by-step explanation:

5,000,000

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

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To calculate the cliff's elevation in 10 millennia, we need to use a little bit of math.

Since the cliff is losing elevation at a rate of 5% every millennium, we know that after one millennium, the cliff's elevation will be 95% of its current elevation. Therefore, we can use this formula to calculate the cliff's elevation after three millennia:
1,519 meters * 0.95^10 = 601.83 meters
So, after 10 millennia, the cliff's elevation will be approximately 601.83 meters. This means that the cliff will have lost approximately 917 meters of elevation over the course of 10,000 years due to erosion.

Finally, by applying the formula, we can determine the cliff's elevation in 10 millennia. After doing the calculation, we find that the final elevation will be approximately 744.29 meters.

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a.\((A\E) $\cup$ B\)To solve this problem we need to determine the difference of set A with E and then find the union of the difference with set B. Let us begin by finding (A\E) Here, A=(2,7] and

E={1,3,5,7,9} So,

A\E = {2,4,6} Therefore,

(A\E) = [2,6] Now, we can find

\((A\E) $\cup$ B\)

Here, B=[1,5) Therefore,

\((A\E) $\cup$ B = [2,6] $\cup$ [1,5)\)

\(= [1,6]b. B$\cap$ (A$\cup$D)\)

To find\(B$\cap$ (A$\cup$D)\)we need to first find\(A$\cup$D\) and then find its intersection with B.

Let us begin by finding \(A$\cup$DA=(2,7]\) and

D={0,1,2,3} Hence,

\(A$\cup$D = (0,7]\)Therefore,

\(B $\cap$ (A $\cup$ D) = [1,5) $\cap$ (0,7]\)

= (1,5).

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Answer:

haha...the first number is 55 & the second number is 102.

if am right, pls sende more of this question or even more complicated quest of this type.

Answer:

5 : 2

Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers \(p\) and \(q\).

Then to find the ratio \(p:q\) , we need to divide p by q and represent it in the simplest form \(\frac{a}{b}\) such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

\(Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}\)

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

\(\dfrac{70}{28}\)

Now, let us divide the numerator and denominator by 14:

\(\dfrac{5}{2}\)

So, the ratio is 5 : 2

The “yearly tuition costs” as an independent variable which should be plotted on X-axis and “mid-career salary” as a dependent variable on Y-axis. The scatterplot is made of them.

Based on the table provided, it is possible to observe that there is not necessarily a clear relationship between the cost of tuition and mid-career salary.

While some of the colleges with higher tuition costs (such as MIT and Stanford) have high mid-career salaries, others (such as Harvey Mudd and Caltech) also have high mid-career salaries despite lower tuition costs. Additionally, some colleges with low or zero tuition costs (such as the US Naval Academy and West Point) also have high mid-career salaries.

Therefore, it is not safe to assume that a higher cost of tuition will necessarily translate into higher-paying jobs. The scatter plot of yearly tuition costs and mid-career salary is made.

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Answer:

∠DAB = 68

Step-by-step explanation:

∠DAB we need to find this

∠DAB = ∠C (vertically opposite angles are equal)

∠DAB = 68

By using the concept of supplementary angles and algebraic handling, the solution of the system formed by the two adjacent angles is equal to 41.

By geometry we know that a line crossed by another line non-parallel to it generates four pairs of supplementary angles. Two angles are supplementary whether they are adjacent to each other and the sum of their measures equals 180°. Then, we derive the following equation:

2 · x + 20 + 2 · x - 4 = 180

4 · x + 16 = 180

4 · x = 164

x = 164 / 4

x = 82 / 2

x = 41

By using the concept of supplementary angles and algebraic handling, the solution of the system formed by the two adjacent angles is equal to 41.

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The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. If the system is inconsistent, it has no solution. If the system is dependent, it has infinitely many solutions.

The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. To check for consistency, the equations must be solved and the solutions compared. If all the solutions are the same, then the system is consistent and has one unique solution. If the solutions are different, then the system is inconsistent and has no solution. If all variables are linearly dependent, then the system is dependent and has infinitely many solutions. To determine if the variables are linearly dependent, one must check for a linear combination of the variables that yields the zero vector. If the linear combination exists, the system is dependent and has infinitely many solutions.

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If we can show that the dot product between any vector in N(A) and any vector in R(AT) is zero, then we have proved that N(A) = R(AT)⊥.

To find bases for the four fundamental subspaces of the matrix A, we have to follow the given fundamental subspaces.

N(A) = nullspace of AN(AT) = nullspace of ATR(A) = column space of AR(AT) = column space of ATWe can calculate the basis vectors for these subspaces using the row-reduced echelon form of A.

The basis for N(A) can be found by solving the equation Ax = 0. The basis for R(A) can be found by taking the pivot columns of A as the basis vectors.

Similarly, the basis for N(AT) can be found by solving the equation ATx = 0, and the basis for R(AT) can be found by taking the pivot columns of AT as the basis vectors.

Next, we have to show that N(A) = R(AT)⊥ and N(AT) = R(A)⊥.To show that N(A) = R(AT)⊥, we have to prove that every vector in N(A) is orthogonal to every vector in R(AT). Similarly, to show that N(AT) = R(A)⊥, we have to prove that every vector in N(AT) is orthogonal to every vector in R(A).

This can be done using the dot product between the vectors in each subspace. If the dot product is zero, then the vectors are orthogonal.

Similarly, if we can show that the dot product between any vector in N(AT) and any vector in R(A) is zero, then we have proved that N(AT) = R(A)⊥.

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