Please help (9th grade math) Will give brainliest

Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.

We have two numbers a and b with different sign.

Let's say that a is negative and b positive.

We know that the absolute value of a is divisible by the absolute value of b.

|a|/|b|

Then we have that |a| ≥ |b|

An example of two numbers that meet these conditions are:

a = -10

b = 2

Where:

|-10|/|2|  = 10/2 = 5

Now, the product between the integers will give a large negative number, in this case:

-10*2 = 20

and the quotient will give a smaller, in absolute value, negative number:

-10/2 = -5

Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).

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a) The total number of days to finish by the builders is: 112 days

b) The speed per 1 hour is: 19 km/hr

An algebraic expression is the idea of ​​representing numbers in letters or alphabets without specifying the actual values. In Algebra Basics, we learned how to use letters such as x, y, and z to represent unknown values. These characters are called variables here. Algebraic expressions can use a combination of variables and constants. Any value that comes before the variable and is multiplied is a factor.

a) The builders complete 3/8 of a project in 42 days.

If the total number of days to finish is x, then we can say by proportion that:

(3/8)x = 42

x = (42 * 8)/3

x = 112 days

b) The rate of speed is 38 km per 2 hours.

Thus speed per hour = 38/2 = 19 km/hr

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Answer:

.5

Step-by-step explanation:

Sin(x)cos(y) + cos(x)sin(y) = sin(x+y)

sin(17+13) = 1/2

Answer:

every 0.5 hours its 1.5 miles

Step-by-step explanation:

so the first one is 1.5 the 3 then 4.5then 6 then 7.5 and 90 and so on   have a good day

Answer:

Do 6 divided by the miles 1.5 below 2.5 multiple

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Pizza 1:

Area:

Area of each slice:

Pizza 2:

Area:

Area of each slice:

Pizza 3:

Area:

Area of each slice:

The smallest slice is from pizza 1, then the slice from pizza 2, and the largest is from pizza 3.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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The number of board-feet that  must be produced and sold daily to break even is:4033.

Let the number of board-feet produced per day = x

Let the lumber yard's costs each day be: C =$7259.40+ 0.07x

Let the lumber yard's profits be: P = 1.87x

Let  P - C = 0

Hence,

1.87x - ($7259.40 + $0.07x) = 0

1.87x - $7259.40 - 0.07x = 0

Combine like terms

1.8x - $7259.40 = 0

1.8x = $7259.40

Divide both side by 1.8x

x = $7259.40/ 1.8

x = 4033

Therefore the breakeven is 4033.

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C because there can't be two different outputs for the same input.

We should add 25 both side by method of completing the square.

We have to given that;

A student is solving the problem

x² + 10x + _ = 16 + _

Now, We can completing the square as;

⇒ x² + 10x + 5² = 16 + 5²

⇒ x² + 10x + 25 = 16 + 25

⇒ (x + 5)² = 16 + 25

Hence, We should add 25 both side by method of completing the square.

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The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

From the question, we have the following ordered pairs

x intercepts = (6,0) and (18, 0)

Vertex = (12, -36)

Points (21, 41.25)

The closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is the calculated using

m = [f(21) - f(18)]/[21 - 18]

This becomes

m = [f(21) - f(18)]/3

Substitute the known values in the above equation

m = [41.25 - 0]/3

Evaluate the difference

m = 41.25/3

Evaluate the quotient

m = 13.75

Approximate

m=14

Hence, the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month is 14

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Complete question

The graph below shows the value of Edna's profits f(t), in dollars, after t months:

What is the closest approximate average rate of change for Edna's profits from the 18th month to the 21st month?

See attachment for graph

Answer:

35

Step-by-step explanation:

y = 35x+23 is in the form

y = mx+b  where m is the slope and b is the y intercept

The slope can also be called the rate of change

35 is the slope

Answer:

The perpendicular line is vertical and the slope is undefined.

Step-by-step explanation:

Take 36 multiplied by 1,4

\(36 \times 1.4 = 50.4\)

Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

Simplifying this equation, we get:

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

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Answer:

The next step is to Divide 35 by 5  then solve for x

Step-by-step explanation:

Answer:

Divide 35 by 5

Step-by-step explanation:

5x-8=27

   +8 +8. first step

5x=35

x=35/5 second step

The correct option is D: k/2 is the expression that is equivalent to the expression, K/2.

In response to the question;

We must determine the expression that is equivalent to k/2.

Among the options, Option D: k/2 is same as expression K/2.

Choice C, when written as (1/2)k, is equivalent to k/2 since they both imply half of k.

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Answer:

12

Step-by-step explanation:

10x - 20 + 6x + 8 = 180

Supplementary angles

Answer:

x = 12

Step-by-step explanation:

The two given angles create a straight line (Definition of Straight Line). This means that:

\((10x - 20) + (6x + 8) = 180\)

First, combine like terms. Like terms are terms that share the same amount of the same variables:

\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 12 to both sides of the equation:

\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)

Next, divide 16 from both sides of the equation:

\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)

12 is your answer.

~

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According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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Answer:

170 cm³

Step-by-step explanation:

V = πr²h

= 3.14 * (3)² * 6

= 3.14 * 9 * 6

= 169.56 cm³

= 170 cm³

The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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Answer:

231

Step-by-step explanation:

Answer: 46 ft by 92 ft

Step-by-step explanation:

The largest area is enclosed when half the fence is used parallel to the wall and the other half is used for the two ends of the fenced area perpendicular to the wall. Half the fence is 184 ft/2 = 92 ft. Half that is used for each end of the enclosure.

Answer: $6,320.25

Step-by-step explanation:

Mrs. Cowley's broker fee is calculated by multiplying the purchase price by the broker fee percentage: $32,000 x 0.0075 = $240. Her total cost for the purchase is then $32,000 + $240 = $32,240. When she sells the stock for $25,100, she incurs another fee of $17 for using the discount broker. To calculate her net loss, we subtract her total cost from her selling price and subtract the two broker fees: $25,100 - $32,240 - $17 - $17 = -$6,320.25, which is rounded to $6,320.25 as a net loss.

D. I and IV are the quadrants the cosine function is positive

To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.

The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.

Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.

Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.

Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.

It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.

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The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

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Answer:

The base and height of the solid is 5.5cm

Step-by-step explanation:

Given

\(Surface\ Area = 181.5cm^2\)

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

\(Volume =x^2 * h\)

\(Volume =x^2h\)

181.5 =x^2h

The surface area (S) is calculated as this:

\(S = 2(x^2 + xh + xh)\)

\(S = 2(x^2 + 2xh)\)

\(S = 2x^2 + 4xh\)

Substitute 181.5 for S

\(181.5 = 2x^2 + 4xh\)

Make h the subject:

\(4xh = 181.5 - 2x^2\)

\(h = \frac{181.5 - 2x^2}{4x}\)

Substitute \(h = \frac{181.5 - 2x^2}{4x}\) in \(Volume =x^2h\)

\(V = x^2(\frac{181.5 - 2x^2}{4x})\)

\(V = x(\frac{181.5 - 2x^2}{4})\)

\(V = \frac{1}{4}(x)(181.5 - 2x^2)\)

\(V = \frac{181.5x}{4} - \frac{2x^3}{4}\)

\(V = \frac{181.5x}{4} - \frac{x^3}{2}\)

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

\(dV = \frac{181.5}{4} - \frac{3x^2}{2}\)

Set to 0

\(0 = \frac{181.5}{4} - \frac{3x^2}{2}\)

\(\frac{3x^2}{2} = \frac{181.5}{4}\)

Multiply through by 4

\(4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4\)

\(2*3x^2 = 181.5\)

\(6x^2 = 181.5\)

\(x^2 = \frac{181.5}{6}\)

\(x^2 = 30.25\)

\(x = \sqrt{30.25\)

\(x = 5.5\)

Recall that:

\(h = \frac{181.5 - 2x^2}{4x}\)

\(h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}\)

\(h = \frac{181.5 - 60.5}{22}\)

\(h = \frac{121}{22}\)

\(h = 5.5\)

So, we have:

\(h = 5.5\)

\(x = 5.5\)

Hence, the base and height of the solid is 5.5cm