decrease 20 in the ratio 4:5​

Using a proportional relationship, it is found that the unit rate of change is of 9.

The relation d = 9t is graphed at the end of the answer.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, we have d as a function of t, hence the relationship is:

d = kt.

When t increases by 0.2, d increases by 1.8, hence the constant is given as follows:

k = d/t = 1.8/0.2 = 9

The relation d = 9t is graphed at the end of the answer.

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Answer: 9p

Step-by-step explanation: If there's no coefficient in front of the variable,

you can give it a coefficient of 1, so p can be thought of as 1p.

Since 1p and 8p are like terms meaning they have identical variables,

we say that they are like terms and can be combined to get 9p.

Answer:

The answer is simple it's 9p. This question is from algebraic expressions.

Step-by-step explanation:

So in algebra we can only use operations on like terms. Since 8p and p are.like terms they can be added.

8p+p

=9p

So we can just simply count how many ever terms are there and do it together.

Answer:

\(1\frac{19}{30}\)

Step-by-step explanation:

To operate between mixed numbers is always better to write then in fraction form first (as improper fractions), and then operate using the rules to combine fractions.

For the first mixed number :

\(4\frac{5}{6} = 4+\frac{5}{6} =\frac{24}{6} +\frac{5}{6}=\frac{29}{6}\)

For the second mixed number:

\(3\frac{1}{5} =3+\frac{1}{5}=\frac{15}{5}+\frac{1}{5}=\frac{16}{5}\)

So now we have to subtract these two fractions, so we need to write them with the same common denominator (6 x 5 = 30):

\(\frac{29}{6}-\frac{16}{5}=\frac{145}{30} -\frac{96}{30}=\frac{49}{30}\)

and finally we write the obtained answer in mixed number form:

\(\frac{49}{30} =1+\frac{19}{30} =1\frac{19}{30}\)

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Capacitors are \(C1 = 4μF C2 = 3μF C3 = 5μF C4 = 2μ F\)and Battery supplied \(ε = 12 V\) ,We are supposed to find the equivalent capacitance across the battery and Charge stored in each capacitor in the circuit.

First let us calculate the equivalent capacitance of the circuit using formula
Equation 1: \(Ceq = C1 + C2 + C3 + C4= 4 + 3 + 5 + 2 = 14μF\)

To find the charge stored in each capacitor, we have to find the total charge in the circuit. The total charge is given by the formula
Equation 2:\(Q = Ceq * ε= 14 * 12 = 168μC\)
Charge in Capacitor 1\(:C1 = 4μFQ1 = C1 * ε / Ceq= 4 * 12 / 14= 48/14 μCC1 = 24/7 μF\)
Charge in Capacitor 2:\(C2 = 3μFQ2 = C2 * ε / Ceq= 3 * 12 / 14= 36/7 μFC2 = 18/7 μF\)
Charge in Capacitor 3:\(C3 = 5μFQ3 = C3 * ε / Ceq= 5 * 12 / 14= 60/7 μFC3 = 30/7 μF\)
Charge in Capacitor 4:\(C4 = 2μFQ4 = C4 * ε / Ceq= 2 * 12 / 14= 24/7 μFC4 = 12/7 μF\)

Thus, we have calculated the equivalent capacitance across the battery and charge stored in each capacitor in the circuit.

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\(6 {x}^{2} - 6x - 72 = \)

\(6( {x}^{2} - x - 12) = \)

\(6(x - 4)(x + 3)\)

Answer:

The value of x = 0    

Step-by-step explanation:

Given

To determine

The value of x = ?

If we closely observe the value of the y-coordinate of the image B'(x, 20), we can see that the y-coordinate of the image B' is 4 times the y-coordinate of the original point (0, 5).

i.e. y → 5×4 =20

It means the coordinates of the image B'(x, 20) can be determined by dilating the original point (0, 5) by a scale factor of 4.

Thus, the x-coordinate of B'(x, 20) can also be obtained by multiplying the x-coordinate of B(0, 5) by 4.

i.e. x → 4×0 = 0

Thus, the rule of dilation is:

P(x, y) = P'(4x, 4y)

Hence,

B(0, 5) → B'(4(0), 4(5)) → B'(0, 20)

Thus,

The value of x = 0           ∵ 0×4 = 0

Answer:

the number of players being seniors is 24

Step-by-step explanation:

For every 7 players at least 2 were seniors so you can make it into a ratio 2:7. When you divide 84 by 7 you get 12 then multiply 12 with 2 and you get 24.

have good day ( ^﹏^)

The range of sales for the given condition is (25000, +∞), Hence Mrs. Dundee makes more from the second publisher than the first.

As per the question statement, Mrs. Dundee wants to sell the rights to her Cajun cookbook so one publisher offered to pay $80,000 and a $3 royalty for every book sold and publisher two offered to pay $30,000 and $5 for every book sold.

We are supposed to find the range of sales for the given conditions.

Let's suppose Mrs. Dundee sold "x" books

30,000 + 5x > 80,000 + 3x

2x > 50,000

x > 25,000

So, the range of sales for the given condition is (25000, +∞), Hence Mrs. Dundee makes more from the second publisher than the first.

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Answer:

Step-by-step explanation:

\(\frac{-4d^{2}+15d^{2}}{5}=\frac {11d^{2}}{5}\\\\=\frac{11*1^{2}}{5}\\\\=\frac{11}{5}\\\\=2\frac{1}{5}\)

Answer:

Step-by-step explanation:

A function is a relation in which each input has only one output

so a relation cannot have more than one output

Answer:

each input (x-value) only has one output (y-value)

Step-by-step explanation:

you can use the vertical line test; pretend to draw vertical lines and if there are two point on the graph where the vertical line touches, it cannot be considered function.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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Answer:

the answer is two

Step-by-step explanation:

i don't have one but i did the quiz and got it right

Answer:

3

Step-by-step explana

sorry if its wrong

Answer:

1st , 2nd , and 4th

Step-by-step explanation:

If a logical vector z has at least one entry TRUE, the function all(!z) will always be false.

If a logical vector contains only TRUE items, the all() method returns FALSE; otherwise, it returns TRUE.

The any() function, on the other hand, gives a result of TRUE if a logical vector has at least one element that is TRUE and FALSE otherwise.

any(z) will always be TRUE if z contains at least one TRUE element since there is at least one TRUE element. On the other hand, depending on whether all of the components of z are TRUE, all(z) may or may not be TRUE.

any(!z) will always return FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

Additionally, all(!z) will always return FALSE if any element is FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

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Answer:

dwmkwddddncdnnknnsdlnldkldskcnds

Step-by-step explanation:

klkkl

Answer:

x = 2 and y = -2

Step-by-step explanation:

We must first eliminate the y-variable:

2x + 3y = -2

3x - 6y = 18

4x + 6y = -4

3x - 6y = 18

_________

7x = 14

x = 2

Since we know x=2, we plug that back into one of the original equations to find y:

2x + 3y = -2

2(2) + 3y = -2

4 + 3y = -2

3y = -6

y = -2

Therefore, x = 2 and y = -2

Step-by-step explanation:

2x+3y= -2.......... 1

3x - 6y = 18......... 2

Multiply both Sides of equation 1 by 2

4x + 6y = -4

3x - 6y = 18

(add Like terms)

7x = 14 (devide both Sides by 7)

.°. x = 2

Substitude x = 2 into equation 1

.°. 2(2) + 3y = -2 (multiple the digit)

4 + 3y = -2 (Move 4 to the right and change it's sign)

3y = -6 (devide both side by 3)

y = -2

Final answers x = 2 ; y = -2

{2 ; -2}

The value of Δy and dy can be calculated using the formulas Δy = f(x+Δx) - f(x) and dy = f'(x) dx respectively, where f(x) is the given function. Here, y = x^4 + 9 and x = -2, with Δx = dx = 0.01.

Firstly, we can calculate Δy using the formula. Substituting the values in the formula, we get Δy = f(-2 + 0.01) - f(-2) = (15.8402) - (17) = -1.1598. Therefore, Δy is approximately equal to -1.1598.

Next, we can calculate dy using the formula. Since f(x) = x^4 + 9, we have f'(x) = 4x^3. Substituting the values in the formula, we get dy = f'(-2) dx = (4*(-2)^3)*0.01 = -0.3200. Therefore, dy is approximately equal to -0.3200.

Comparing the values of Δy and dy, we see that Δy is larger in magnitude than dy. This is because Δy represents the actual change in the value of y when x changes by Δx, while dy represents the approximate change in the value of y when x changes by dx, based on the linear approximation provided by the derivative f'(x). Since the function f(x) is not linear, the actual change in y can be significantly different from the approximate change predicted by the derivative, leading to a larger difference between Δy and dy.

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b. TRINOMIAL

Step-by-step explanation:

Because there are 3 terms

A number line is a graphical representation of numbers in a linear format. It is a useful tool to help visualize the relative positions of numbers, especially fractions.

To place the fractions 2/3, 1/10, and 7/8 on a number line, we need to first identify their relative positions in terms of magnitude.

Starting at 0 on the number line, we can place 1/10 to the right of 0, followed by 2/3 and then 7/8, in order from left to right. Since 2/3 is greater than 1/10 but less than 7/8, it is placed between these two fractions on the number line. The resulting number line would show the relative positions of these three fractions in relation to each other and to the whole numbers. This can help in comparing and ordering fractions, as well as in visualizing their relative magnitudes.

1/10 = 0.1

2/3 = 0.667

7/8 = 0.875

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The first five terms of the sequence are: a1 = 6, a2 = 2a1 - 6 = 2(6) - 6 = 6, a3 = 2a2 - 6 = 2(6) - 6 = 6, a4 = 2a3 - 6 = 2(6) - 6 = 6 and a5 = 2a4 - 6 = 2(6) - 6 = 6

The given sequence is defined recursively, meaning that each term depends on the previous term(s) in the sequence. We are given the initial term a1 = 6, and the recurrence relation an+1 = 2an - 6.

This means that to find any term in the sequence, we can double the previous term and then subtract 6.

Using this recurrence relation, we can find the value of the second term, a2, which is equal to 2a1 - 6. Since a1 = 6, we get a2 = 2(6) - 6 = 6. Similarly, we can find the value of the third term, a3, by substituting a2 in the recurrence relation.

This gives a3 = 2a2 - 6 = 2(6) - 6 = 6. We can continue in this way to find the values of a4 and a5, which are also equal to 6.

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The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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The number of ways to arrange distinguishable objects on an n x n chessboard such that no two objects are in the same row or column is given by: n! / (n^n)

The problem you described is known as the "non-attacking rooks problem" or the "n-queens problem." It involves arranging distinguishable objects (rooks or queens) on an n x n chessboard such that no two objects are in the same row or column. The question asks for the number of ways this can be done.

The number of ways to arrange the objects can be calculated using combinatorics. For the first object, there are n choices for its position on the first row. For the second object, there are (n-1) choices for its position on the second row (excluding the column already occupied by the first object). Similarly, for the third object, there are (n-2) choices for its position on the third row, and so on.

Therefore, the total number of ways to arrange the objects without any restrictions is given by n x (n-1) x (n-2) x ... x 2 x 1, which is n!.

However, we need to consider that the objects cannot be in the same row or column. This means that after placing the first object, the second object must be placed in a different row. After placing the second object, the third object must be placed in a different row from both the first and second objects, and so on.

Using combinatorial reasoning, we can determine that the number of ways to arrange the objects without any restrictions divided by the number of ways they can be arranged on the chessboard without the row or column restrictions gives us the total number of valid arrangements.

Therefore, the number of ways to arrange distinguishable objects on an n x n chessboard such that no two objects are in the same row or column is given by:

n! / (n^n)

where n! denotes the factorial of n.

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The difference in mass between the bananas and the apples is 4 times the difference between the mass of one banana and the mass of one apple, which is represented by (b - a).

Let's say the mass of one banana is 'b' grams and the mass of one apple is 'a' grams. Since we have four bananas and four apples, the total mass of the bananas would be 4b grams, and the total mass of the apples would be 4a grams.

To find the difference in mass between the bananas and the apples, we need to subtract the mass of the apples from the mass of the bananas:

Difference in mass = Mass of bananas - Mass of apples

Mathematically, this can be represented as:

Difference in mass = (4b) - (4a)

We can simplify this further by factoring out the common factor of 4:

Difference in mass = 4(b - a)

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Answer:

xy together mean x times y which equals 1

x-y = 0

the the sum is 1

Step-by-step explanation:

1-1 + 1(1)

= 1

To determine which option gives a better chance of winning, we need to calculate the expected number of A's and B's in the 1,000 draws and compare it to the conditions for winning in each option.

Let's calculate the expected number of A's and B's:

Number of A's in "ARABIA": 3

Number of B's in "ARABIA": 1

Total number of letters in "ARABIA": 6

Probability of drawing an A: 3/6 = 1/2

Probability of drawing a B: 1/6

Expected number of A's in 1,000 draws: (1/2) * 1,000 = 500

Expected number of B's in 1,000 draws: (1/6) * 1,000 = 166.67

Now let's analyze the conditions for winning in each option:

Option A: You win a dollar if the number of A's among the draws is 10 or more above the expected number (500 + 10 = 510 or more).

Option B: You win a dollar if the number of B's among the draws is 10 or more above the expected number (166.67 + 10 = 176.67 or more).

Comparing the two options:

Option A requires having 510 or more A's out of the 1,000 draws.

Option B requires having 176.67 or more B's out of the 1,000 draws.

Since it is not possible to have a fraction of a letter, the number of B's will always be an integer. Therefore, it is impossible to reach the condition for winning in option B, as there can't be 176.67 B's.

Therefore, the correct answer is:

(i) Option A gives a better chance of winning than option B.

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Let's solve for x ~

\(\qquad \sf  \dashrightarrow \: {x}^{2} + 5x + 6 = 0\)

\(\qquad \sf  \dashrightarrow \: {x}^{2} + 3x + 2x + 6 = 0\)

\(\qquad \sf  \dashrightarrow \: {x}^{}( x+ 3) + 2(x + 3)= 0\)

\(\qquad \sf  \dashrightarrow \: {}^{}( x+ 2)(x + 3)= 0\)

\( \begin{cases} \sf \: x = - 2 \: \: \: \: \: \: \: \sf if \: (x + 2) = 0 \\ \\ \sf \: x = - 3 \: \: \: \: \: \: \: if \: (x + 3) = 0\end{cases} \)

I hope that helps ~

The Solution:

Given:

Required:

Find the value of the given expression.

The value is:

Answer:

[option 4]