Which is true of dependent events?

Answer:

Its the third option.

Step-by-step explanation:

No,  all points on the line are solutions of the equation.

Answer:

answer the last    yes because all the points meet

Step-by-step explanation:

Answer:

interest rate = 0.0400215403 or 4.00215403% or 4%

Step-by-step explanation:

formula

final amount =

initial amount times e^(interest rate times time)

6614 = 4998 times e^(interest rate times 7)

(6614 ÷ 4998) = e^(interest rate times 7)

1.32332933173 = e^(interest rate times 7)

ln means natual log

ln(1.32332933173) = ln(e^(interest rate times 7))

0.28015078214 = interest rate times 7

0.28015078214 ÷ 7 = interest rate

0.0400215403 = interest rate

utub dr ashley godbold

investopedia

A specific X-value for the solution ,-4 is not equal to -3/2.

The x-value of the solution to the system of equations, we need to solve the given equation and the line represented by the data in the table. Let's begin by examining the first equation, 2x + 4y = 0.

We can rewrite this equation in terms of y:

4y = -2x

y = (-2/4)x

y = (-1/2)x

Now, let's use the data from the table to create a system of equations:

For the first data point (-1, 8):

y = (-1/2)x

8 = (-1/2)(-1)

8 = 1/2

Since 8 is not equal to 1/2, the first data point does not satisfy the equation.

For the second data point (3, -4):

y = (-1/2)x

-4 = (-1/2)(3)

-4 = -3/2

Again, -4 is not equal to -3/2, so the second data point does not satisfy the equation.

We can continue this process for the remaining data points, but from the information given, it seems that none of the data points satisfy the equation. Therefore, there is no solution to the system of equations.

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Answer:

16160

Step-by-step explanation:

(2021#2020)= \(2021^2-2020^2=4041\)

(2020#2019)=\(2020^2-2019^2=4039\)

finally, (2021#2020)#(2020#2019)= \(4041^2-4039^2=16160\)

Answer:

Step-by-step explanation:

a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.

The equation that represents the given information is:

2.50x + 3.75y = 222.50

b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.

Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.

Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):

2.50(40) + 3.75y = 222.50

100 + 3.75y = 222.50

3.75y = 222.50 - 100

3.75y = 122.50

y = 122.50 / 3.75

y ≈ 32.67

In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.

We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.

Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.

The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10

From the question, we have the following parameters that can be used in our computation:

The difference of -10 and the product of p and q

The numbers are given as

p and q

The product of p and q means pq

So, we have the following

The difference of -10 and pq

The difference of -10 and pq means

pq + 10

Hence, the expression is pq + 10

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Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Answer:

29x-12

Step-by-step explanation:

29x-12

Step-by-step explanation:

8•x=8×

8•-5=-40

7•3x=21x

7•4=28

-40+28=-12

21x+8x=29x

Answer:

-2<=y<=-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

x is the independent variable. y is the dependent variable.

Dependent variables take their values based on values of independent variables. In the considered case, we have:

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

If a variable is taking its values independently of any visible direct cause,  then that variable is called independent variable.

The variables who take their values based on some other variables' values are called dependent variables.

For the considered case, the two variables in consideration are:

Time doesn't depend on number of stitches. Its thus, measuring an independent quantity.

The total number of stitches depends on how much time it passed since sewing. So the quantity 'y' depends on the value of 'x'

Thus, variable 'y' is dependent variable.

Therefore, in the considered case, we have:

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Answer:

6-2×n=22

2×n=22

Since it is multiplication we have to take opposite side which is Division

So We divide both sides with 2

2÷2×n=22÷2

n=11

Yes, an acute triangle less than 90 degrees

what is acute triangle?

An acute angled triangle is one in which all of the angles are fewer than 90 degrees. One such illustration of an acute angled triangle is the one below.

Hence the triangle less than 90 degrees is acute angle

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Answer:

f = -1

Step-by-step explanation:

f(x) = 3x + 1

f(-2/3) = 3(-2/3) + 1

f = -2 + 1

f = -1

Answer:

= -2f/3

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

x be the miles for first day

y be the miles for 2nd day

8 miles in 1 hr

so x miles will be x/8

14 miles In 1 hr

so y miles will be y/14

x/8 + y/14 = 11

Answer:

Step-by-step explanation:

\(\sf 16-29x+7b\)

\(\sf -29x+16+7\)

\(\sf -29x+23\)

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

31.) x = 3

32.) y = 49

Answer:

If y varies directly as x, and x = 9 when y = 15, find y when

x = 33

Step-by-step explanation:

Use the multinomial rule, the possible number of paths from A to B is m! n1! ×n2!

How do you find the number of paths on a grid?

To generalize our formula for any NxN grid, we can write: Incidentally, there is an easier way to write this: the number D = N! / (K! * (N-K)!) is also called the binomial coefficient and we can write (N choose K).

You may create a table by combining several question kinds using the grid question type. This implies that you could, for instance, create a grid that included both a multiple-choice question and a free-text inquiry.

A map's grid is a pattern made up of both horizontal and vertical straight lines. They cross one another to create a group of squares. On a map, grids aid in location finding. At the top, there are numbered gaps between the horizontal (side-to-side) lines.

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The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The total amount of money which the Stewart family would have to pay into the annuity each quarter is $242.12.

Mathematically, annuity can be calculated by using this formula:

\(A = P[\frac{(1+\frac{r}{n} )^{nt} - 1)}{\frac{r}{n} }]\)

Given the following data:

Substituting the given parameters into the formula, we have;

\(13000 = P[\frac{(1+\frac{0.036}{4} )^{4 \times 11} - 1)}{\frac{0.036}{4} }]\\\\13000 = P[\frac{(1+0.009 )^{44} - 1)}{0.009 }]\\\\13000 = P[\frac{(1.009 )^{44} - 1)}{0.009 }]\\\\13000 = P[\frac{1.48323960867 - 1}{0.009 }]\\\\13000 = P[\frac{0.48323960867 }{0.009 }]\\\\13000 = 53.6932898522P\)

P = 13000/53.6932898522

P = $242.12.

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Complete Question:

The Stewart family wants to save money to travel the world. They plan to invest in an ordinary annuity that earns 3.6% interest, compounded quarterly. Payments will be made at the end of each quarter. How much money do they need to pay into the annuity each quarter for the annuity to have a total value of $13,000 after 11 years?

Answer:

96

Step-by-step explanation: because you need to multiply 16 and 6 and when you multiply them you will get 96

The surface area of 128 square inches.

The total surface area of a three-dimensional form is the sum of all the surfaces on each side.

Given the area of the base of the square prism is 16 inches. so each side of the base is 4 inches. and the height is given 6 inches.

hence, surface area of the given square prism = 2(area of base + 2 * area of one side)

area of one side = 4* 6 = 24

so, surface area of square prism = 2 (16 + 2 * 24) = 128 square inches

Therefore, 128 square inches is the surface area of the square prism.

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Answer:

the number of chicken sandwiches = 9

Step-by-step explanation:

let x be the number of chicken sandwiches 

    y be the number of tuna sandwiches

We have to solve this system:

\(\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}\)

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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The solution (X = 8, Y = 16) represents a minimum because the second partial derivatives are both positive.

The quadratic equation's roots 32

+6x+8=0 utilises the quadratic formula to determine. x = is the quadratic formula.

where the quadratic equation's coefficients are a, b, and c. Here, an equals 1, b equals 6, and c equals 8. We obtain the quadratic formula's result by entering these values: x =

x = (-6 ± √(36 - 32)) 2 x = (-6 to 4) 2 x = (-6 to 2) 2 x = (-3 to 1) 1 x = (-2 to 4)

Generally, any quadratic equation of the form may be solved using the quadratic formula to get the roots.

Whereas a, b, and c are real numbers, + bx + c=0. One effective method for tackling a wide range of physics and maths issues is the quadratic formula.

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Answer:

Step-by-step explanation:

(180 - 127) / 2 = 26.5°