What is the slope of y = -4x - 3

Answer:

12,22,2002, 4x, 5x

Step-by-step explanation:

The rule is x2 +2

Not sure on the last 4

Sorry I answered late.

The area of the Triangle given in the question is 4.7

Area of Triangle = 1/2(base × height )

Using the vertex , we can obtain the height of the triangle thus:

height = 1.873

Inserting the parameters into the Area formula :

height = 1.873

base = 5

Area of Triangle = 1/2 × 5 × 1.873

Area of Triangle= 4.68

Therefore, the area of the triangle is 4.7

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The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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The null hypothesis for the single factor ANOVA states that all means are equally true.

The null hypothesis for a single-factor ANOVA (analysis of variance) states that all means are equal.

The alternative hypothesis, on the other hand, suggests that at least one of the means is different from the others.

The purpose of the ANOVA test is to determine whether there is sufficient evidence to reject the null hypothesis and conclude that there are significant differences between the means. A statistical formula used to compare variances across the means (or average) of different groups.

Hence, the statement is true .

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The possible number of ways of selection by using combination formula is 3060.

What is combination?

A grouping of items where the order in which they were chosen is irrelevant is known as combination.

Given that the number of people in the group is 18. Only 4 people will be member of the council.

The formula of combination is \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\) , where r number of objects are selected from n objects.

In the given question the value of n is 18 and the value of r is 2.

Substitute the value of n and r in \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\).

\(^{18}C_{4}=\frac{18!}{4!(18-4)!}\)

Solve the above expression:

18^C_4 = 18x17x16x15x14/4x14

18^C_4 = 18x17x16x15/4x3x2x1

3060 18^C_4 = 3060

The number of ways such selection is 3060.

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The sum of the first 11 terms of the geometric sequence -3/2, 3, -6, 12, ... is 1092.  A geometric sequence is a sequence where each term is found by multiplying the previous term by a constant factor

In this case, the common ratio is -2. To find the sum of the first 11 terms, we can use the formula for the sum of a geometric series:

S = a(1 - r^n) / (1 - r)

where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms. Plugging in the values, we get:

S = (-3/2)(1 - (-2)^11) / (1 - (-2))

Simplifying the equation gives:

S = (-3/2)(1 - 2048) / 3

S = (-3/2)(-2047) / 3

S = 3069/2

S = 1534.5

Therefore, the sum of the first 11 terms of the given geometric sequence is 1534.5.

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Answer:

5

Step-by-step explanation:

4+1=5...if you add the number 4 and 1 it gives 5 lol

For the given continuous random variable x:

(a) p(x < 4) = -8/27.

(b) p(3 ≤ x < 4) = -5/27

The continuous random variable x that can assume values between x = 2 and x = 5 has a density function given by f(x) = 2(1 x)/27.

(a) To find p(x < 4), we need to integrate the density function from x = 2 to x = 4:

p(x < 4) = ∫24 2(1 x)/27 dx

= (2/27) ∫24 (1 - x) dx

= (2/27) [(x - x2/2)]24

= (2/27) [(4 - 42/2) - (2 - 22/2)]

= (2/27) [(4 - 8) - (2 - 2)]

= (2/27) [(-4) - 0]

= (2/27) (-4)

= -8/27

So, p(x < 4) = -8/27.

(b) To find p(3 ≤ x < 4), we need to integrate the density function from x = 3 to x = 4:

p(3 ≤ x < 4) = ∫34 2(1 x)/27 dx

= (2/27) ∫34 (1 - x) dx

= (2/27) [(x - x2/2)]34

= (2/27) [(4 - 42/2) - (3 - 32/2)]

= (2/27) [(4 - 8) - (3 - 4.5)]

= (2/27) [(-4) - (-1.5)]

= (2/27) (-2.5)

= -5/27

So, p(3 ≤ x < 4) = -5/27.

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Answer:

x = 40

Step-by-step explanation:

< PQR = 180° - (84° + 56°)

= 40°

so x = 40° (corresponding angles QP// RT)

Answer: 47

Step-by-step explanation:

simply substitute the constants with 5 and 3.

(5)^2 + 9(3) - 5 = 47

The rectangular coordinate for the polar coordinate (4, 210°) is  (-3.46, -2).

The rectangular coordinate for the polar coordinate (4, 210°) is calculated by applying the following formula as shown below;

x = r cos(θ)

y = r sin(θ)

where;

From the given  polar coordinate (4, 210°);

r = 4

θ = 210⁰

The rectangular coordinate is calculated as follows;

x = 4 x cos(210°)

y = 4 x sin(210°)

x = -3.46

y = -2

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Answer:

What is a polynomial?

  - In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables

What is a rational function?

- In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

Are all polynomials rational functions?

.A function that cannot be written in the form of a polynomial, so no they are not all functions.

Anais, who bought a ribbon of length \(2 \dfrac 12 \) yards, and she trimming a curtain from it. From substraction, length of ribbon used in curtain is equals to 72 inches.

Word problems express in mathematical form. In subtraction, keywords that could signal the operation are lesser, less than, removed from. However, there are times when the idea of subtraction or taking away is inferred from the problem itself. In the problem, total length of ribbon Anais bought

= \(2 \dfrac 12 \) yards

The length of ribbon left after trimming some curtains = 1 feet 6 inches

We have to determine inches of ribbon Anais use to trim the curtains. Let it will be equal to x inches . We may notice in the provide values that they all have different units. We can convert the all different units into inches. Using uint conversation, 1 yard = 36 inches

=> \(2 \dfrac 12 \)

yards =\( 36 × \frac{ 5}{2} \)

= 90 inches

Similarly, 1 feet = 12 inches, then 1 feet + 6 inches = 12 + 6 = 18 inches

Thus, the left ribbon length = 18 inches

Using substraction method, the length in inches of ribbon that anais use to trim the curtains = total length - left length of ribbon = 90 - 18

= 72 inches.

Hence, required value is 72 inches.

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Complete question:

Anais bought

\(2 \dfrac 12 \)

yards of ribbon. She had 1 feet 6 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?

Answer: 700

Step-by-step explanation:

175 * 4 = 700

Answer:

700

Step-by-step explanation:

To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25

When we put that into our calculator, we get the following answer:

700

0.0000416 pipe is the number of pipe for 1 km lenght

Proportion is defined as the ratio os two quantity for instance numbers.

According to the given question, the length of one pipe is equivalent to 24000km. We are to determine the number of pipe that 1 km will be.

This is expressed as:

Number of pipe for 1 km = Number of pipe/Total km

Number of pipe for 1 km = 1/24000

Number of pipe for 1 km = 0.0000416 pipe

Hence the amount of pipe for 1 km is 0.0000416 pipe

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Answer:

\(\huge\boxed{\sf 995.4 in.\²}\)

Step-by-step explanation:

Area of the circle:

= πr²

Where r = 21 in.

= (3.14)(21)²

= (3.14)(441)

= 1385.4 in.²

Area of triangle:

= \(\sf \frac{1}{2} (Base)(Height)\)

Where Base = 20 in. , Height = 39 in.

= \(\sf \frac{1}{2} (20)(39)\)

= (10)(39)

= 390 in.²

Area of the shaded region:

= Area of the circle - Area of the triangle

= 1385.4 - 390

= 995.4 in.²

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

3/8 or 0.375

Step-by-step explanation:

1/8 + 1/4

1/8+ 1*2/4*2

1/8+2/8

1+2/8

3/8

0.375

The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.

In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.

By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.

Therefore, a left-tailed hypothesis test is appropriate in this scenario.

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Taking into account the definition of a system of linear equations, if the sum of two numbers is 30 and their product is 209, the number are 11 and 19.

Systems of linear equations are groupings of first degree equations with the same unknowns, of which a common solution must be found.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that "x" and "y" are two numbers.

You know:

So, the system of equations to be solved is

x + y= 30

x×y=209

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating "x" from the first equation:

x= 30 - y

Substituting the expression in the second equation:

(30 - y)×y=209

Solving:

30y - y×y=209

30y - y² - 209= 0

Being this a quadratic function of the form ax² + by +c, then it can be solved by: \(x1,x2=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}\)

In this case, being a=-1, b=30 and c=-209, the equation is solved by:

\(y1=\frac{-30+\sqrt{30^{2}-4x(-1)x(-209) } }{2x(-1)}\)

\(y1=\frac{-30+\sqrt{900-836 } }{-2}\)

\(y1=\frac{-30+\sqrt{64} }{-2}\)

\(y1=\frac{-30+8}{-2}\)

\(y1=\frac{-22}{-2}\)

y1= 11

Remembering that x= 30 - y, you get:

x1= 30 -11

x1= 19

and

\(y2=\frac{-30-\sqrt{30^{2}-4x(-1)x(-209) } }{2x(-1)}\)

\(y2=\frac{-30-\sqrt{900-836 } }{-2}\)

\(y2=\frac{-30-\sqrt{64} }{-2}\)

\(y2=\frac{-30-8}{-2}\)

\(y2=\frac{-38}{-2}\)

y2= 19

Remembering that x= 30 - y, you get:

x2= 30 - 19

x2= 11

Finally, the number are 11 and 19.

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If A = [a₁ a₂ a₃ a₄ a₅ a₆], where each aᵢ is a column vector in R², and z = [z₁ z₂ z₃ z₄ z₅ z₆] is a vector in R⁶, then T(z) = Az can be written as:T(z) = z₁a₁ + z₂a₂ + z₃a₃ + z₄a₄ + z₅a₅ + z₆a₆.

Let A be a 2x6 matrix. If we define the linear transformation T: R⁶ → R² as T(z) = Az, then the number of columns in matrix A must be equal to the dimension of the domain of T, which is 6. The number of rows in matrix A must be equal to the dimension of the range of T, which is 2. Therefore, A must be a 2x6 matrix.If we plug in a vector z from the domain of T, which is R⁶, into T(z), then we get a vector in the range of T, which is R². The entries of the output vector are obtained by taking linear combinations of the columns of matrix A, where the coefficients are the entries of z.

In other words, the i th entry of the output vector is obtained by multiplying the ith row of matrix A with the vector z, and then adding up the products. So, if A = [a₁ a₂ a₃ a₄ a₅ a₆], where each aᵢ is a column vector in R², and z = [z₁ z₂ z₃ z₄ z₅ z₆] is a vector in R⁶, then T(z) = Az can be written as:T(z) = z₁a₁ + z₂a₂ + z₃a₃ + z₄a₄ + z₅a₅ + z₆a₆.

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Answer:

1: logical

2: Organic

3: Global

4: Classical

5: Musical

6: logical

7: editoral

8: Analytical

Step-by-step explanation:

I tried my best

Question 1: The highest power of 2 that is less than 1000 is 2^9 = 512.

Question 4: The decimal equivalent of the hexadecimal number 4AF is 1199.

Question 1: What is the highest power of 2 that is less than 1000?

We know that,

2^ {10} = 1024 which is the smallest number greater than 1000.

Therefore, the highest power of 2 that is less than 1000 is 2^ 9

2^ (9) = 512

Question 2: Express this hexadecimal number in decimal: 4AF

To convert hexadecimal number to decimal number, we multiply each digit of the hexadecimal number by its place value and add the products. We can start from the right and work our way to the left.

4AF in hexadecimal is equal to:

(4 × 16²) + (10 × 16¹) + (15 × 16⁰)

= 1024 + 160 + 15

= 1199

Therefore, the decimal equivalent of the hexadecimal number 4AF is 1199.

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We can say with 90% confidence that the increase in proportion of people satisfied with their financial situation is between 1.05% and 6.71%.

To calculate the confidence interval for the increase in proportion of people satisfied with their financial situation, we need to first calculate the proportions for both years:

Proportion in year 1 = 478/2038 = 0.2342
Proportion in year 2 = 537/1967 = 0.2730

The increase in proportion is:
0.2730 - 0.2342 = 0.0388

To calculate the confidence interval, we can use the formula:
CI = (point estimate ± (critical value x standard error))

The point estimate is the increase in proportion we just calculated: 0.0388

The critical value can be found using a z-table for a 90% confidence level. The z-value for a 90% confidence level is 1.645.

The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

where p1 and n1 are the proportion and sample size for year 1, and p2 and n2 are the proportion and sample size for year 2.

Plugging in the values, we get:
SE = sqrt[(0.2342(1-0.2342)/2038) + (0.2730(1-0.2730)/1967)] = 0.0174

Now we can plug in all the values to get the confidence interval:
CI = (0.0388 ± (1.645 x 0.0174)) = (0.0105, 0.0671)

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Answer:

negative one third

Step-by-step explanation:

So you go to the 1 and half

Answer:

y=-|x − 3|

Work

y = |x − 3| + 2

-2        -2

y = |x − 3|

add a neg before the absolute value

y=-|x − 3|

Transformation involves changing the position of a graph

The equation of the transformed graph is \(\mathbf{y = -|x -3| - 4}\)

The equation is given as:

\(\mathbf{y = |x -3| + 2}\)

The rule of reflection across the x-axis is:

\(\mathbf{(x,y) \to (x,-y)}\)

So, we have:

\(\mathbf{y = -|x -3| - 2}\)

The rule of translation 2 units down is:

\(\mathbf{(x,y) \to (x,y-2)}\)

So, we have:

\(\mathbf{y = -|x -3| - 2 - 2}\)

\(\mathbf{y = -|x -3| - 4}\)

Hence, the equation of the transformed graph is \(\mathbf{y = -|x -3| - 4}\)

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The fraction of days the cafetaria offered an apple as a fruit choice is 6/10. The equivalent form of decimal is 0.6, the equivalent form of fraction is 3/5, and the equivalent form of percentage is 60%.

A fraction is a ratio of two numbers, mathematically expressed as a/b where a is the numerator and b is the denominator. That mathematical expression is the common form of fraction. Fractions can take a number of forms, such as decimal and percentage.

Decimals are numbers that consist of two parts, which are the whole number part and the fractional part. 0.6 is the decimal form of fraction 6/10.

Percentage is a relative value that indicates hundredth parts of a quantity. 60% is the percent form of fraction 6/10.

Finally, we can simplify 6/10 to get 3/5:  \(\frac{6}{10} =\frac{6\div 2}{10\div 2}=\frac{3}{5}\).

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Answer:when x= -2/3

That means, when the common product of f(x) & g(x) is x+2/3

Step-by-step explanation:

Step-by-step explanation:

1.5/14

2.0.114114114....

3.0.108108108

plssss mark me brainliest

\( \frac{2}{7} \div \frac{4}{5} \\ \\ \frac{2}{7} \times \frac{5}{4} = \frac{5}{14} \)

(No D.)

\( \frac{38}{333} = 0.114\)

\( \frac{12}{111} = \frac{4}{37} = 0.108\)

I hope I helped you^_^

The magnitude of the electric field on the z-axis, when z >> R, is given by E = kQ / z² (option c).

According to Gauss's law, the electric flux through the cylindrical Gaussian surface is directly proportional to the charge enclosed within it. Since the charge enclosed by the Gaussian surface is the charge of the disk (Q), the electric flux is given by:

Flux = Q / ε₀

Where ε₀ is the permittivity of free space. The electric flux can also be expressed as the product of the electric field (E) and the area of the cylindrical surface (A), which is 2πR times the height (h) of the cylinder:

Flux = E * A

Substituting the expressions for the flux and the area, we have:

E * 2πR * h = Q / ε₀

The height (h) of the cylinder cancels out, and rearranging the equation gives:

E = Q / (2πR * ε₀)

Now, we need to express the charge (Q) in terms of the known quantities. Since the disk is uniformly charged, we can express its charge in terms of its charge density (σ) and its area (A):

Q = σ * A

The area of the disk is given by A = πR². Substituting this into the equation, we have:

Q = σ * πR²

Substituting this expression for Q back into the equation for the electric field (E), we get:

E = (σ * πR²) / (2πR * ε₀)

Simplifying further, we find:

E = σR / (2ε₀)

This means that the correct option for the magnitude of the electric field is option C: E = kQ / z², where k is a constant related to the permittivity of free space.

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