Question 1 of 10
Simplify this algebraic expression completely.
5y-3(y + 2)

Answer:

1244 DCD

Step-by-step explanation:

The domain of the vector function is : ( -6, -2) ∪ ( -2, 6)

The given vector function can be correctly expressed as:

r(t) = (t-2)i / (t+2) + sintj + ln(36-t²)k²

The domain of the given function can be determined by finding the domain of each respective component.

(t-2)i / (t+2)

Not defined, t = -2

Thus, the domain of the first component of the vector = (-∞, 2) ∪ (2, ∞)

The 2nd component = sin t

No restriction on t,

The 3rd component of the function is ㏑(36 - t²)

we know,

Natural number is defined for +ve numbers,

i.e.

36 - t² > 0

(6 + t) (6 - t) > 0

thus, it satisfies the inequality -6 < t < 6

The third domain = (-6,6)

Hence, the domain of the vector function is : ( -6, -2) ∪ ( -2, 6)

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Answer:

y=-3

I hope this is good enough:

A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz

The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.

The given trinomial is x²-8x+16.

Factors of 16           Sum of factors

-1 and -16               -1+(-16)=-17

-2 and -8                  -2+(-8)=-10

-4 and -4                  -4+(-4)=-8

The set of factors would used to factor the trinomial are -4 and -4.

Therefore, option C is the correct answer.

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Answer:

subject?

Step-by-step explanation:

The inferences given can be concluded as (a) Agree, (b) Disagree, (c) Agree, (d) Disagree and (e) Disagree

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given two equations made each by Keiko and Eric. They are,

Keiko : t = -1.63a + 92.14

Eric : t = -1.05a + 80.97

(a) As the value of a increases, the value of t decreases for both of the equations.

So the first statement is true.

(b) When a = 20 and 30, t = 59.54 and 43.24 in the equation of Keiko.

When a = 20 and 30, t = 59.97 and 49.47 in the equation of Eric.

On an average, Eric's equation gives more t.

So second statement is false.

(c) t = 92.14 and t = 80.97 when a = 0.

A person with 0 years old cannot end texts.

So y intercept does not have a relevant meaning.

So c is also true.

(d) -1.63 and -1.05 is the slope of the corresponding lines.

This means that for every 1 year increase in age, the number of text messages decreased by 1.63.

So this is false.

(e) Similarly, in case of Eric's equation, for very 1 year increase in age, the number of text messages decreased by 1.05.

This is also false.

Hence the inferences are either agreed or disagreed as explained.

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Answer:

Step-by-step explanation:

The slope of the line would be -1897/7 or -271

because according to the two points that I could get from this equation are (4, 15250) and (11, 13353). To find the slope you would use the slope formula which would be y2-y1 over x2-x1. When you set up your equation you get 13353-15250 over 11-4 getting -1897/7 and then when you would simplify it you'd get -271.

I also solved this online using a slope calculator and that calculator got the same answer...If wrong, I'm sorry. This was how I was taught to find the slope of an equation/graph...

Answer:

answer would be b=6 cm

notice notice the height and base stands out to be more space if you draw it on a piece of paper using

B drawing the line across

H slanted line from the B line

Answer:

The answer is b=5 cm, h=7 cm

Mark me as Brainllest!!

Answer:

1a8?

Step-by-step explanation:

thi is how

The incorrect statement for the given condition is;

⇒ |a| > b

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

A number line shows 'a' to the left of 0 and 'b' to the right of 0. Point a is closer to 0 than point b.

Now,

Since, Point a is closer to 0 than point b.

And,  Number 'a' to the left of 0 and 'b' to the right of 0.

Hence,

Let the number 'a' = - 1

Then, The number 'b' = 2

So, We get;

|a| = |-1| = 1

And, |b| = 2

Clearly, |a| < b

Thus, The incorrect statement for the given condition is;

⇒ |a| > b

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Answer: its 3x+20 to my calculations

Step-by-step explanation:

Answer:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh;

Step-by-step explanation:

(24cm + 14cm + 25cm) 10 + 2 × 14

hope this help pls mark me Branliest

Answer:

5.9 miliseconds

Step-by-step explanation:

it is it because there is a second to millisecond on a watch

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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The number of triangles in the diagram that can be mapped to one another by similarity transformations include the following: D. 3.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent and similar triangles:

ΔABC

ΔDEF

ΔGHI

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Answer:

  (x, y, z) = (-4, -5, 2)

Step-by-step explanation:

You want the solution to the 3×3 system of equations ...

There are many tools available for solving a system of equations. A typical hand-held graphing calculator offers at least two methods. An online graphing calculator solution is shown in the attachment.

For the attached solution, we defined z in terms of x and y using the second equation. This effectively reduces the system to a 2×2 system, which is easily solved. The same "substitution" method can be used when solving the system by hand.

The graph shows the solution to be (x, y, z) = (-4, -5, 2).

Using z = -4x -4y -34 from the second equation, the system reduces to ...

  3x -y -4(-4x -4y -34) = -15

  19x +15y = -151

and

  2x +3y +5(-4x -4y -34) = -13

  -18x -17y = 157

Writing these equations in general form, we have ...

The "cross multiplication method" gives the solution for x and y as ...

  D = (19)(17) -(18)(15) = 53

  x = (15(157) -17(151))/D = -212/53 = -4

  y = (151(18) -157(19))/D = -265/53 = -5

Then z is ...

  z = -4(-4) -4(-5) -34 = 16 +20 -34 = 2

The solution is (x, y, z) = (-4, -5, 2).

__

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a. The probability of spending less than 10 minutes is approximately 0.6255.

b. The probability of spending longer than 5 minutes is 0.9741.

c. The probability of spending between 8 and 15 minutes is 0.7181.

(a) We'll use the z-score formula:

z = (x - μ) / σ

Plugging in the values:

z = (10 - 9.3) / 2.2 ≈ 0.3182

Now, we'll look up the cumulative probability corresponding to the z-score of 0.3182 in the standard normal distribution table or use a calculator. The cumulative probability is approximately 0.6255.

(b) To find the probability of spending longer than 5 minutes, we'll again use the z-score formula:

z = (x - μ) / σ

z = (5 - 9.3) / 2.2 ≈ -1.9545

Therefore, the probability of spending longer than 5 minutes is approximately 1 - 0.0259

= 0.9741.

(c) For 8 minutes:

z1 = (8 - 9.3) / 2.2 ≈ -0.5909

For 15 minutes:

z2 = (15 - 9.3) / 2.2 ≈ 2.5909

Next, we find the cumulative probabilities for these z-scores using a standard normal distribution table or a calculator. The cumulative probability for z1 ≈ 0.2776, and for z2 ≈ 0.9957.

Finally, we subtract the cumulative probability for 8 minutes from the cumulative probability for 15 minutes to get the probability between these two values:

0.9957 - 0.2776

≈ 0.7181

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When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

Try (

−

∞

,

∞

)

Step-by-step explanation:

OK so, I copied and pasted that so try to put it together lol

Answer:

Correct answer is : (-∞, 0)

Step-by-step explanation:

Answers:

5)

a.Highest- 96

Lowest-52

b.74

c. 70-80

d. 13

e. 7

6)

a. 89%

b. 51%

c. In the morning(89%)

A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Answer:

a) 0815

b) 22 minutes

Hope this helps!

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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A line segment that measures 92 millimeters in length can be drawn using scale.

Given that,

A line segment has to be drawn which has a measure of length 92 millimeters.

We know that,

10 millimeters = 1 centimeter

1 millimeter = 1/10 centimeters

92 millimeters = 92/10 = 9.2 centimeters

So it is enough to draw a line segment of length 9.2 centimeters.

In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.

In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.

So draw a line segment starting from 0 to 9.2.

Hence the line segment is drawn with scale.

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A minimum population size of approximately 7373 to achieve a 99% confidence interval with a margin of error of 3 and a known standard deviation of 100.

To calculate the minimum population size required to achieve a 99% confidence interval with a margin of error of 3 and a known standard deviation of 100, we can use the following formula:

n = [(z-value × SD) / ME]²

Where:

n = the minimum sample size required

z-value = the critical value for the desired confidence level (99% in this case)

SD = the known standard deviation (100 in this case)

ME = the desired margin of error (3 in this case)

First, we need to determine the z-value for a 99% confidence level. Using a standard normal distribution table, we find that the z-value for a 99% confidence level is approximately 2.576.

Substituting the values into the formula, we get:

n = [(2.576 × 100) / 3]²

Simplifying this expression, we get:

n = 7373.08

Therefore, we would need a minimum population size of approximately 7373.

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Answer:

7/11 green or red balls

Step-by-step explanation:

5 + 3 + 2 = 11 = whole basket

5 + 2 = 7 = red + green

probability = 7 / 11  balls

Hope this helps!

The probability that the next ball he randomly chooses will be red or green is 7/10

From the question, we are to determine the probability that the next ball Benny randomly chooses will be red or green

From the given information,

Benny has a basket of 5 red balls, 3 yellow balls, and 2 green balls

∴ Total number of possible outcome = 5 + 3 + 2 = 10

Now we will determine the probability of picking red

Using the formula,

\(P(A) = \frac{Number\ of\ favourable\ outcome\ to\ A}{Total\ number\ of\ favourable\ outcomes}\)

∴ \(P(R) = \frac{5}{10}\)

For the probability of picking green

\(P(G) = \frac{2}{10}\)

Then, the probability of red or green is

∴ \(P(R \ or \ G) = \frac{5}{10} + \frac{2}{10}\)

\(P(R \ or \ G) = \frac{7}{10}\)

Hence, the probability that the next ball he randomly chooses will be red or green is 7/10

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The valid null or alternative hypothesis for the given scenario is Io : µ = 14 (option a).

In this scenario, a cereal manufacturer is testing a sample of 50 boxes of cereal to see if the average weight per box is 14 ounces. The null hypothesis (Io) is a statement that assumes there is no significant difference between the observed sample mean and the hypothesized population mean.

Out of the given options, the valid null hypothesis would be option a. Io : µ = 14. This hypothesis assumes that the mean weight per box of cereal in the population is 14 ounces, which is the hypothesized value.

The alternative hypothesis, in this case, would be Ha = µ ≠ 14, which assumes that the mean weight per box of cereal in the population is significantly different from the hypothesized value of 14 ounces.

So, the correct option is (a).

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Answer:

7xy -4y + 3

Step-by-step explanation:

combine 9xy and -2xy (7xy - 3y -y +3)

combine -3y and -y (7xy - 4y + 3)

all done yay

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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