3 |a| +5 |b| if a = −2; b = −1
WILL AWARD BRAINLIEST

Answer:

97

Step-by-step explanation:

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

(x+7)(x+12)

Step-by-step explanation:

Hope this helps and have a great day!!!!

Step-by-step explanation:

ther are alternate interior angle therefore their value are equal

so now,

→ 6x - 44 = 4x

→ -4x + 6x = 44

→ 2x = 44

→ x = 44/2 = 22

→ x = 22

therefore value of x is 22 and 4x is 88

x = 22°

4x = 4(22) = 88°

hope this answer helps you dear...take care and may u have a great day ahead and also ur exam/test goes well!

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

The expression in the mathematical form will be (1/4)( 2 - 3x ) / ( 2x ).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The word form of the expression is given as adding one-fourth of two subtracted from thrice a number to twice the same number.​

The expression can be written as,

E = (1/4)( 2 - 3x ) / ( 2x ).

Hence, the expression will be (1/4)( 2 - 3x ) / ( 2x ).

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The set of points on this graph is a relation but not a function

We know that every function can be a relation but every relation cannot be a function.

A relation means the connection between the input and the output.

A function means that for every input there should only be one output.

Here, we have the data as:

(2,5), (1,2), (3,4), (3, 1), (6,5) and  (5,3)

We can say that it is a relation as for every input, there is an output.

But, it is not a function.

This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.

Therefore, the set of points on this graph is a relation but not a function.

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In general,

Therefore, in our case,

Thus, the answer is the second option (top to bottom)

3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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Answer:

80÷(4÷16) = 20

Step-by-step explanation:

4÷6=4

4x4=16

80÷4=20

4x20=80

Answer:

3/40

Step-by-step explanation:

7/8+((-2/3)÷5/6)

7/8+(-2/3*6/5)

7/8+(-12/15)

7/8-12/15

105/120-96/120

9/120

3/40

a) The probability that the computer will be fixed by either A or B is 58%.

b) The probability that it was fixed by B is 57.14%

Given data:

a)

To find the probability that the computer will be fixed by either A or B, we can use the principle of addition for probabilities.

The probability that A can fix the computer is 30% or 0.30, and the probability that B can fix the computer if A cannot is 40% or 0.40.

Therefore, the probability that either A or B can fix the computer is the sum of these probabilities:

P(A or B) = P(A) + P(B if A cannot) = 0.30 + (0.70 * 0.40) = 0.30 + 0.28 = 0.58

Therefore, there is a 58% probability that the computer will be fixed by either A or B.

b)

Let's denote event A as A fixing the computer and event B as B fixing the computer.

P(A) = 0.30 (probability A can fix the computer)

P(B|A') = 0.40 (probability B can fix the computer given that A cannot)

To find P(B|A), the probability that B fixes the computer given that it was fixed, use Bayes' theorem:

P(B|A) = (P(A|B) * P(B)) / P(A)

Since the computer is fixed, P(A) + P(A') = 1, so P(A) = 1 - P(A') = 1 - 0.30 = 0.70

P(B|A) = (P(A|B) * P(B)) / P(A)

P(B|A) = (1 * 0.40) / 0.70

P(B|A) = 0.40 / 0.70

P(B|A) ≈ 0.5714

Hence, if the computer is fixed, there is a 57.14% probability that it was fixed by B.

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Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

The equation for g (x) is,

⇒ g(x) = x² -3

Since, The function is,

⇒ f (x) = x²

when x = 0, f(x) = 0

hence it has vertex at (0,0)

Since, g(x) is shifter version of f(x) and has vertex at (-1, 4),

Then, g(x) must be shifted along y axis.

So, We get;

g(x)= x²+c

when x = - 1, g(x)= 4

4 = (-1)² + c

4 = 1 + c

c = 3

Thus, The equation for g (x) is,

g(x) = x² -3

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Based on the beginning office supplies balance, the supplies purchased by the company, and the supplies available at December 31, the journal entry for supplies is:

Date              Account title                                           Debit          Credit

XX-XX           Office supplies expense                      $14,131

                      Office supplies                                                       $14,131

The supplies expense can be found as:

= 3,225 + 13,319 - 2,838

= $13,706

This supplies expense will be debited to the office supplies expense and credited to the office supplies account.

Question:

Record the entry to the Office supplies account

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Answer:

1,500 pounds :>

Step-by-step explanation:

There are 2,000 pounds in 1 ton, take away 500 from 2,000 you get 1,500

Answer:

48/b

Step-by-step explanation:

32÷16=2 so it takes two minutes per airplane. if she makes airplanes for 96 minutes at the same pace (2 min per airplane) then you need to divide 96 by 2 which gives you 48!

Answer:

48

Step-by-step explanation:

a) k must be 0.09 for the table to be a valid probability model. b) The probability that at least one waiter and one chef show up on any given day is 0.97. c) The probability that more chefs show up than waiters is 0.74. d) The probability that more than three staff show up on any given day is 0.84.

e) The expected total number of staff that will show up on any given day is 4.24. f) The probability that three waiters will show up on any given day is 0. g) The probability that two chefs will show up on any given day is 0.09. h) X and Y are not independent.

a) For this to be a valid probability model, the sum of all the entries in the table must be equal to 1. Therefore, we have:

k + 0.03 + 0.03 + 0.03 + 0.02 + 0.03 + 0.05 + 0.04 + 0.01 + 0.01 + 0.06 + 0.67 = 1

Simplifying, we get:

k + 0.91 = 1

Therefore, k = 0.09.

b) The probability that at least one waiter and at least one chef show up on any given day is equal to 1 minus the probability that no waiter or chef shows up. From the table, we see that the probability that no waiter or chef shows up is 0.03. Therefore, the probability that at least one waiter and at least one chef show up is 1 - 0.03 = 0.97.

c) To find the probability that more chefs show up than waiters on any given day, we need to sum up the probabilities of all the cells where the number of chefs is greater than the number of waiters. From the table, we see that there are 3 such cells:

When X = 0 and Y = 2 (probability = 0.03)

When X = 1 and Y = 3 (probability = 0.04)

When X = 2 and Y = 3 (probability = 0.67)

Adding up these probabilities, we get:

0.03 + 0.04 + 0.67 = 0.74

Therefore, the probability that more chefs show up than waiters on any given day is 0.74.

d) To find the probability that more than three total staff (waiters and chefs) will show up on any given day, we need to sum up the probabilities of all the cells where X + Y > 3. From the table, we see that there are 5 such cells:

When X = 0 and Y = 4 (probability = 0.02)

When X = 1 and Y = 3 (probability = 0.04)

When X = 1 and Y = 4 (probability = 0.05)

When X = 2 and Y = 2 (probability = 0.06)

When X = 2 and Y = 3 (probability = 0.67)

Adding up these probabilities, we get:

0.02 + 0.04 + 0.05 + 0.06 + 0.67 = 0.84

Therefore, the probability that more than three total staff (waiters and chefs) will show up on any given day is 0.84.

e) To find the expected total number of staff (waiters and chefs) that will show up on any given day, we need to multiply each value in the table by its corresponding number of staff (X + Y) and sum up the results. From the table, we have:

When X = 1 and Y = 0, the expected number of staff is 1.

When X = 1 and Y = 1, the expected number of staff is 2.

When X = 1 and Y = 2, the expected number of staff is 3.

When X = 1 and Y = 3, the expected number of staff is 4.

When X = 1 and Y = 4, the expected number of staff is 5.

When X = 2 and Y = 0, the expected number of staff is 2.

When X = 2 and Y = 1, the expected number of staff is 3.

When X = 2 and Y = 2, the expected number of staff is 4.

When X = 2 and Y = 3, the expected number of staff is 5.

When X = 2 and Y = 4, the expected number of staff is 6.

Multiplying each of these expected numbers by its corresponding probability, we get:

0.09(0) + 0.03(1) + 0.03(2) + 0.03(3) + 0.02(4) + 0.03(1) + 0.05(2) + 0.04(3) + 0.01(4) + 0.01(5) + 0.06(6) + 0.67(5) = 4.24

Therefore, the expected total number of staff (waiters and chefs) that will show up on any given day is 4.24.

f) To find the probability that three waiters will show up on any given day, we need to sum up the probabilities of all the cells where X = 3. From the table, we see that there are no such cells. Therefore, the probability that three waiters will show up on any given day is 0.

g) To find the probability that two chefs will show up on any given day, we need to sum up the probabilities of all the cells where Y = 2. From the table, we see that there are 2 such cells:

When X = 0 and Y = 2 (probability = 0.03)

When X = 2 and Y = 2 (probability = 0.06)

Adding up these probabilities, we get:

0.03 + 0.06 = 0.09

Therefore, the probability that two chefs will show up on any given day is 0.09.

h) X and Y are not independent, as the value of X affects the probabilities in the second column and the value of Y affects the probabilities in the first row. Therefore, the statement "X and Y are independent" is FALSE.

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A possible hypothesis for this study is: "The organic pesticide Z will reduce the number of grasshoppers in cornfields compared to water treatment alone."

The purpose of conducting this experiment is to determine if the new organic pesticide Z is effective at killing grasshoppers that typically invade cornfields and to study its effect on reducing the number of grasshoppers.

The independent variable in the experiment is the treatment with organic pesticide Z.

The dependent variable in the experiment is the number of grasshoppers in the cornfield.

The west field treated only with water is the control group.

It is important to have a control group in the experimental design because it provides a baseline comparison for evaluating the effect of the treatment.

The most accurate conclusion is: "If a cornfield is sprayed with pesticide Z, it will have fewer grasshoppers 10 weeks later."

Based on the results, my recommendation to the farmer would be to spray the cornfield with pesticide Z to decrease the number of grasshoppers in the cornfield.

The stages of the scientific method in order from first to last are: Make observations about nature, formulate hypothesis, conduct experiments, analyze data, reject or accept hypothesis.

This is an example of making observations about nature.

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Answer:

y - 9

Step-by-step explanation:

(y-9)²/4÷(4y-36)/16

is a fraction divided by a fraction.

When you have one or two fractions with a division, use Keep-Change-Flip.

Keep the first term:

(y-9)²/4

then Change the ÷ to a times.

(Y-9)²/4•

then Flip the second term.

(y-9)²/4 • 16/(4y-36)

You can factor the term (y-9)² into

(y-9)(y-9).

The other term (4y-36) can also be factored into

4(y-9).

see image.

The 4's and the y-9 terms can be "cancelled".

see image. The only term left is y-9.

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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Answer:

3.46 gallons

Step-by-step explanation:

write your ratio: x gallons/800in^3 = 1 gallon/231in^3

cross multiply: 1*800 = 231*x

simplify: 800 = 231x

divide both sides by 231: 3.4632034632 = x

round+flip: x = 3.46 gallons

The amount Andrew have to pay to buy 4 pounds of walnuts = $19

The expression for the cost to buy p pounds of walnuts= 4p - 1

Explanation:

Amount per pound of walnut = $4

Amount of coupon = $1

The cost of 4 pounds of walnuts:

The amount Andrew have to pay to buy 4 pounds of walnuts:

Amount = cost - coupon

Amount = $20 - $1

The amount Andrew have to pay to buy 4 pounds of walnuts = $19

The expression for the cost to buy p pounds of walnuts:

let number of pounds = p

Cost for p pounds of walnut = Amount per walnut * number of walnut

Cost for p pounds of walnut = $4 * p

= $4p

The expression for the cost to buy p pounds of walnuts= cost for p - coupon

= 4p - 1

Answer:

1) = 32.02

2) = 18

Step-by-step explanation:

1) 20^2 + 25^2 = 1025

sq rt 1025 = 32.02

2) 30^2 - 24^2 = 324

sq rt 324 = 18

On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

\(|x + 1| = 0\\x + 1 = 0\\x = -1\)

\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)

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Answer: B) The linear speed is 4750 inches per second, so this car would qualify.

Step-by-step explanation: To determine linear speed using revolutions per second, i.e., angular speed (ω):

v = ω.r

where r is radius.

As ω is in revolutions per second, transform into rad/s:

ω = 36 revolutions/s

1 revolution = 2π rad

ω = 36.2π rad/s

ω = 72π rad/s

Radius is 21 inches, which can be written as

r = 21 inches/rad

Linear speed is

v = \(\frac{72.\pi rad}{s} .\frac{21 in}{rad}\)

v ≈ 4750 inches per seconds

Converting to miles per hour:

v = \(4750.\frac{5}{88}\)

v = 270mph

At linear speed of 4750 inches per second, a car with wheel of radius 21-inch can qualify.

Answer:

Above is correct

Step-by-step explanation:

Answer:

20 yards

Step-by-step explanation:

21 + x = perimeter (x being the width because it is unknown)

so far this would look like an incomplete triangle, or in other words, it is connected to Pythagoras theorem.

a^2 +b^2 = c^2 but since we don't know one of the sides of the triangle, (a^2 in this case) we can reverse the equation to get our answer.

=

c^2 - b^2 = a^2

c would represent the 2 holes the gophers dig on opposite sides of the rectangular yard, and since we already know the length, we can use this equation.

c = 29

b = 21

a = x (unknown)

=

29^2 - 21^2 = x^2

now we can just square c (29) and b  (21)

29^2 = 841

21^2 = 441

so now the equation looks like

841 - 441 = x^2

now just some simple subtraction

841 - 441 = 400

so...

400 = x^2

and then to get x without the ^2 we can just get the square root of 400, which counters the ^2.

=

√400 = 20

so there you have it!

20 = x

or

20 = a

or

20 = the width!

there is probably a better way to do this, but I just like geometry lol.

Mark brainliest if this helped, and have a good day! :D

37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.

Equations can be categorized as identities or conditional equations.

w = (455.95-155.95)/(37.50)

=300/37.50

=8

So, number of weeks = 8

As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.

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Answer:

It's A 310 cm 2

Step-by-step explanation: