Find dz/dt using chain rule

The profit for selling 300 vetkoek every week at a cost of 3.80 per vetkoek and selling them for 10 each is 1860.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To calculate the profit for selling 300 vetkoek every week, we need to first calculate the total revenue generated and the total cost of producing the vetkoek.

Total revenue = Price per vetkoek x Number of vetkoek sold

Total revenue = 10 x 300 = 3000

Total cost = Cost per vetkoek x Number of vetkoek sold

Total cost = 3.80 x 300 = 1140

Profit = Total revenue - Total cost

Profit = 3000 - 1140 = 1860

Therefore, the profit for selling 300 vetkoek every week at a cost of 3.80 per vetkoek and selling them for 10 each is 1860.

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Answer:

0

Step-by-step explanation:

plug in 7 for "P"

so 10 - [7+3]

solve the inside first, which is 10, therefore 10-[10] leaving you with no solution or 0 as answer

Answer:

Step-by-step explanation:

20 degees

The multiple of the unit fraction 3/8​ is 15/40.

What is fraction ?

A fraction is a number that represents a part of a whole. It is a way of representing a quantity that is not a whole number. Fractions are written with two numbers, one above the other and separated by a horizontal line. The number above the line is called the numerator, and the number below the line is called the denominator.

To find the multiple of a fraction, you simply multiply the numerator and the denominator by the same number. For example, to find the multiple of 3/8, you can multiply both the numerator and the denominator by 2:

3/8 * 2/2 = 6/16

So the multiple of 3/8 by 2 is 6/16.

Similarly, you can find the multiple of 3/8 by any other number by multiplying both the numerator and denominator by that number. For instance, if you want to find the multiple of 3/8 by 5, you can multiply both the numerator and the denominator by 5:

3/8 * 5/5 = 15/40

Therefore, the multiple of the unit fraction 3/8​ is 15/40.

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Therefore , the solution of the given problem of linear equation comes out to be y= (3/2)x + 5 .

The equation y=mx+b is the basis of a linear regression model. B is the slope, and m is the y-intercept. The aforementioned sentence is repeatedly alluded to as a "math problem with two variables," despite the fact that y and y are distinct parts. In bivariate linear equations, there are only two variables. The application regions for linear equations have no definitive solutions.

Here,

We must first determine the slope of the line before using the point-slope form of the equation of a line to determine the equation of the line that goes through two points.

The angle of the line that connects the coordinates (2, 8) and (8, 7) is:

=> slope = (−7 − 8) / (−8 − 2)

=> slope = −15 / −10

=> slope = 3/2

When we express the equation of a line in the point-slope format, where (x1, y1) is one of the line's points and m is its slope, we get the following result:

=> y − y1 = m(x − x1)

By selecting the line's origin (2, 8) and substituting the slope m = 3/2, we obtain:

=> y − 8 = (3/2)(x − 2)

The equation y = mx + b is transformed into the slope-intercept form by condensing and reordering the variables.

=> y = (3/2)x + 5

Consequently, y = (3/2)x + 5 represents the equation of the line going through the points (2, 8) and (8, 7) respectively.

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Answer:

See below.

Step-by-step explanation:

We are asked for a unknown number.

To find our number, we should use the Inverse Operation.

The Inverse Operation is the opposite operation.

For example: If we Multiplied, then we should use the Inverse Operation which is Dividing.

Let's divide 256 by -32 to identify our missing number.

Divide:

[tex]\frac{256}{-32} = -8[/tex]

Our missing number is -8.

The bridge needs to be 1.6 miles long. The solution has been obtained by using Pythagoras theorem.

What is Pythagoras theorem?

According to the Pythagorean Theorem, the square of a right-angled triangle's hypotenuse side is equal to the sum of the squares of its other two sides.

We are given a right angled triangle with base 3 miles and the hypotenuse 3.4 miles.

The perpendicular is given to be 'x'.

Using Pythagoras theorem, we know that

⇒Hypotenuse² = Perpendicular² + Base²

⇒(3.4)² = x² + 3²

⇒11.56 = x² + 9

⇒x² = 2.56

⇒x = 1.6 miles

Hence, the bridge needs to be 1.6 miles long.

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Using the graphs, Olivia is correct if she used one of those two approaches. Michael and Angelica both use the wrong strategies.

An organised-representation of the data is all that the graph is. It facilitates our understanding of the facts. Data is the term used to describe the numerical information obtained through observation.

The development of a research question is followed by the ongoing observational collection of data. The data is then organised, distilled, categorises, and visually represented.

Information and data have different purposes: Data is an unadorned truth; information is the meaning that can be inferred from data.

Challenge 1

Olivia may have, for example, translated 10 units to the right after reflecting over the x axis.

Let's use point C to apply this series of steps.

C = (-2,-4) (-2,-4)

After reversing the x axis, C' becomes (-2,4); the y coordinate changes sign, and C" becomes (8,4) after moving to the right by 10 units. The x coordinate is then increased by 10.

The graphic shows that point C (-2, -4) shifts to C"(8,4). The other four points I'll let you investigate.

Olivia may have also tried shifting 10 units to the right before reflecting across the x axis. The sequence here is irrelevant. Order does important, though, for several other combinations of transformations.

Challenge 2

The point (x,y) will become after reflection across the y axis (-x,y). Here, the sign is reversed, and only the x coordinate changes. The y coordinate remains constant.

With the y axis reflection, a point like C (-2, -4) becomes C'(2, -4). By moving up 8 units, we get at C"(2,4) by adding 8 to the y coordinate, but this is not what the graphic displays. Thus, Angelica's approach is flawed.

The last four points should also contain other contradictions, as well.

Challenge 3

Even Michael's approach is flawed. Instead of using an x axis reflection, he completely relies on translations to change ABCDE into A"B"C"D"E".

Quick inspection suggests that Michael might be right. Yet, if you examine much more closely, you'll notice that things aren't exactly in line.

This time, we'll choose point D rather than point C.

D can be found at (-6, -2). To reach D' if we move up 8 units, we must add 8 to the y coordinate (-6,6). Then, to move 10 units to the right, add 10 to the x coordinate. And brings us to D" (4,6).

The diagram, however, reveals that D" is actually at (4,2)

Let you examine the other points, please. The only points that should go to the right places are C and E; the remaining points should not. Once more, Michael's failure to apply an x axis reflection is to blame. His A"B"C"D"E" figure is reversed from how it should have been.

To sum up, the strategies mentioned in problem 1 are the proper ones to use in order to make ABCDE go to A"B"C"D"E. Olivia is correct if she used one of those two approaches. Michael and Angelica both use the wrong strategies.

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Answer:

64 people

Step-by-step explanation:

I'm not so sure but I think its right.

Here's how I figured it out:

60x2=120

42x2=84

120-20=100%

84-20=64

The function has an infinite solution.

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values.

The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

Since f(x) and g(x) are the same function, their graphs will be the same and all points on the line are solutions. All x values will be solutions. This means there are infinitely many.

You can see it algebraically too:

-2x-6 = -2x-6

-2x+2x-6 = -2x +2x -6

0-6 = 0-6

-6=-6 True. Infinite solutions.

Hence the function has an infinite solution.

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Answer:

0.05%

Step-by-step explanation:

The correct students are Nico, Aditi, and Erick.

What is equation?

An equation is a formula that uses the equals sign to connect two expressions to show that they are equal.

The correct approaches to solving the equation are those that lead to the correct solution. We can check which students are correct by solving the equation and seeing if their approach leads to the correct answer.

Two-fifths (5 + x) = 8

Multiplying both sides by 5 gives:

5/5 * two-fifths (5 + x) = 5/5 * 8

One-fifth (5 + x) = 8/5

One-fifth (5) + One-fifth x = 8/5

1 + One-fifth x = 8/5

Subtracting 1 from both sides gives:

One-fifth x = 3/5

Multiplying both sides by 5 gives:

x = 3

So the solution is x = 3.

From the given approaches, Nico, Aditi, and Erick are correct. Their approaches are equivalent to the correct approach:

Two-fifths (5 + x) = 8

(5/2) * two-fifths (5 + x) = (5/2) * 8

(5/2) * (5/5 + x/5) = 20/5

5/2 + (5/2)x/5 = 4

5/2 + x/2 = 4

x/2 = 3/2

x = 3

Raj and Sandra's approaches are not correct, as they made errors in their calculations. Therefore, the correct students are Nico, Aditi, and Erick.

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Quantitative data can be discrete or continuous

Answer:

To write 2x(x+4) in standard form, we need to expand the product and simplify:

2x(x+4) = 2x^2 + 8x

Therefore, the standard form of 2x(x+4) is 2x^2 + 8x.

Step-by-step explanation:

The table of values for the equation of line y = ( -3/4 )x + 3 is given by

x = { -4 , 0 , 4 , 8 }

y = { 6 , 3 , 0 , -3 }

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( -3/4 )x + 3

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope m = -3/4

when x = -4

y = ( -3/4 ) ( -4 ) + 3

y = 3 + 3

y = 6

when x = 0

y = ( -3/4 ) ( 0 ) + 3

y = 0 + 3

y = 3

when x = 4

y = ( -3/4 ) ( 4 ) + 3

y = -3 + 3

y = 0

when x = 8

y = ( -3/4 ) ( 8 ) + 3

y = -6 + 3

y = -3

Hence , the table of values are x = { -4 , 0 , 4 , 8 } and y = { 6 , 3 , 0 , -3 }

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Answer:

y = -4x + 5.

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Given that the line passes through the point (2, -3) and has a slope of -4, we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point, and m is the slope.

Substituting the given values, we get:

y - (-3) = -4(x - 2)

Simplifying and rearranging, we get:

y + 3 = -4x + 8

Subtracting 3 from both sides, we get:

y = -4x + 5

Therefore, the equation in slope-intercept form for the given line is y = -4x + 5.

Answer:

$10,000

Step-by-step explanation:

Let

Principal= x

Rate = 12%

Time = 2 years

Interest = (Final amount with interest placed on it) - Principal

Therefore,

Interest = 12,400 - x

Using

I = (P·r·t) / 100

Making P, subject of formula,

P = (100·I) / (R·T)

x = [100·(12,400 - x)] / (12.2)

x = (1,240,000 - 100x) / 24

Cross multiply,

24x = 1,240,000 -100x

24x + 100x = 1,240,000

124x = 1,240,000

x = 1,240,000 / 124

x = 10,000

Therefore, the principal, amount we need to invest is

$10,000

Please mark brainliest.

Thanks.

The type of triangle AABC is an equilateral triangle, as it is formed by the midsegments of the equilateral triangle ADEF.

Since the midsegments of a triangle are parallel to its opposite sides and half the length of the opposite sides, the midsegments of an equilateral triangle are congruent to each other, and their length is half the length of the sides of the equilateral triangle.

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2} and y = \dfrac{q+n}{2}[/tex]

We are given that;

An equilateral triangle DEF

AAB is formed by the midsegments of triangle ADEF, which means that AAB is also an equilateral triangle. To see why this is true, we can use the following argument:

The midsegment of DE is parallel to AB and has half the length of AB.

The midsegment of EF is parallel to AA' and has half the length of AA'.

The midsegment of FD is parallel to BB' and has half the length of BB'.

Therefore, AB = AA' = BB', and the angles at A and B are both 60 degrees (since DEF is equilateral).

Thus, AAB is an equilateral triangle, because all its sides are equal in length and all its angles are equal to 60 degrees.

Therefore, by midpoint the answer will be equilateral triangle.

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Answer:

(1 , -2)

Step-by-step explanation:

We are told that there is a translation of (x-4 , y-3)

This simply means that the x-axis moves to the left by 4 points and that the y-axis moves down 3 points. (if it was a plus not minus then points would move up and to the right)

1) Move the x-axis

We can see that the x-axis of b is 5. To move it to the left 4 we subtract 5 by 4

2) Move the y-axis

We can see that the y-axis of b is 1. To move it down we subtract 1 by 3

This leaves us with (1 , -2)

Hope this helps, have a lovely day! :)

The weekly growth rate of these gnats is approximately 1.38%.

With discrete growth, we may observe change taking place following a particular event. We receive fresh options when we flip a coin. We pay interest once a year. After a successful mating season, young are produced. Change occurs continuously in an economy that is growing. We are unable to remark, "It changed here," in reference to an occurrence. The pattern is always changing (radioactive decay, a bacteria colony, or perfectly compounded interest).

Given that,

G(t) = 500(1.182)t

Using the growth function for 52 weeks = 1 year we have:

= 500(1 + r)⁵²ˣ

where r is the weekly growth rate.

To find the weekly growth rate, we can first rewrite the equation as:

1 + r = (1.182)⁽¹⁾⁵²

1 + r = 1.0138

r = 0.0138

The equivalent equation using the weekly growth factor is:

G(t) = 500(1.0138)⁵²ˣ

The weekly growth rate of these gnats is approximately 1.38%

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The standard deviation for the dataset is 28.89.

What is the standard deviation?

When we measure diversity in a data set, it is called standard deviation. We have to calculate the variance first. The square root of variance gives the standard deviation. The formula to calculate standard deviation is:

s= [tex]\sqrt{\frac{(x1-xm)^{2} + (x2-xm)^{2} +........+ (xn-xm)^{2} }{n-1} }[/tex]

First, we will calculate the mean of the data, xm

[tex]xm=\frac{18+22+39+48+77+89}{6}[/tex]

      [tex]=48.83[/tex]

Then, we will calculate the following:

[tex](x1-xm)^{2}=(18-48.83)^{2} \\\\(x2-xm)^{2}=(22-48.83)^{2} \\\\(x3-xm)^{2}=(39-48.83)^{2} \\\\(x4-xm)^{2}=(48-48.83)^{2} \\\\(x5-xm)^{2}=(77-48.83)^{2} \\\\(x6-xm)^{2}=(89-48.83)^{2} \\[/tex]

The summation comes out to be 4174.83.

Therefore, the standard deviation becomes = [tex]\sqrt{\frac{4174.83}{5} }[/tex]

                                                                           =28.89

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Answer: -7

Step-by-step explanation:

-2x+5=19

-5 |-5

-2x=14

-2x/-2 = 14/-2

x = -7

The inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is 202.5 + 36.39x ≤ 480.

What is an inequality?

An inequality is a comparison between two or more mathematical expressions. It can be of the form ≤, ≥, < or >.

We are given per day charges as $36.39 and the charges per mile as $0.90.

Also, it is given that in total 225 miles have been driven.

So, the charges of 225 miles are:

⇒225 x 0.90

⇒$202.5

It is given that he can spend maximum $480.

So, for the maximum number of x days, we get the inequality as

202.5 + 36.39x ≤ 480

Hence, the inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480.

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the length of the rectangle is 9 units

the width of the rectangle is 2 units

the area of the rectangle is 18 square units

the area of the triangle is 9 square units

to find the length and width just count the number of units along the bottom and along the side. To find the area of the rectangle, do the length times the width. To find the area of the triangle divide the area of the rectangle by 2

Answer:

The first question asks which variable Amari used to construct a bar graph. It is not specified which variable she used, so we cannot determine the answer.

The second question asks which graph correctly displays the data collected from the customers about their favorite topping. The data is nominal, so a bar graph would be appropriate. The correct answer is:

c) a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44

The third question asks which stem-and-leaf plot correctly graphs the data set of points scored by the Riverside Red Dragons during the 2021 football season. The correct answer is:

c)

2021 Riverside Red Dragon Football Season Points

0 0 4

1 1 3 3

2 0 0 6 7 7 7

3 0 0 0 0 1

Key 1|1 = 11

The fourth question asks which graphical representation would be best for a principal interested in the number of hours slept per night by 14-year-olds in a particular town. The data is quantitative, so a histogram would be appropriate. The correct answer is:

b) Histogram

there are 3 cups of lemonade in each cup

Answer:

$91

Step-by-step explanation:

bill = $76

tip = 20%

20% of bill = (20/100) * 76

                 = $15.2

total bill = $76 + $15.2

             = $91.2

             = $91

The perimeter of the triangle QSU is 88 cm.

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given a circle.

And there are three tangents drawn intersecting the circle at points R, T and V.

We have the circle theorem that the tangents that meet at the same point are equal in length.

Using the theorem,

SR = ST

RQ = VQ

TU = VU

We have, segment RQ measures 15 cm, segment ST measures 4 cm, and segment VU measures 25 cm.

So, SR = ST = 4 cm

TU = VU = 25 cm

VQ = RQ = 15 cm

Perimeter of ΔQSU = (2 × 4) + (2 × 25) + (2 × 15) = 88 cm

Hence the perimeter is 88 cm.

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The values of the missing sides are;

1. q = 4. 1, p = 11. 3

2. y = 56. 6, x = 35. 6

3. b = 16. 7, a = 9.1

Using the sine and cosine identities, we have;

sin θ = opposite/ hypotenuse

cos θ = adjacent/hypotenuse

We have that;

sin 20 = q/12

find the values

q = 4. 1

Also

cos 20 = p/12

p = 11. 3

For the second triangle

cos 39 = 44/y

cross multiply

y = 44/0. 7777

y = 56. 6

Also,

sin 39 = x/56.6

x = 35. 6

For the third triangle

sin 57 = 14/b

cross multiply

b = 16. 7

Also,

cos 57 = a/16. 7

cross multiply

a = 9. 1

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