rectangle q has an area of 2 square units thea drew scaled version and labled it rectangle r what scale factor did thea use to go from q to r

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2.  Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3.  Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5.  The y-intercept is (0, 5).

Next we find the x-intercept.  We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0).  This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5).  Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

I believe you meant "the acute angle it makes with the positive x-axis."​

Final answer:

The gradient of the line is 2/3, and the acute angle it makes with the positive x-axis is found by taking the arctan of the gradient. which is approximately 33.69 degrees.

Explanation:

The gradient of the line joining two points, (x1, y1) and (x2, y2), is calculated using the formula:
Gradient = (y2 - y1) / (x2 - x1)

Substituting the given points (3,7) and (6,9) into the formula, we get:

Gradient = (9 - 7) / (6 - 3) = 2 / 3

The gradient is 2/3. To find the acute angle θ the line makes with the positive x-axis, we use the formula:
Tan(θ) = Gradient

So, θ = arctan(Gradient)

θ = arctan(2/3)

Calculating θ will give us the acute angle. which is approximately 33.69 degrees.

Answer: A

Step-by-step explanation:

2,400 divided by 60 will give you 40. 40 multiplied by 0.50 give you $20.00.

2,400 divide by 80 will give you 30 but 30 multiplied but 0.75 gives you $22.50.

$22.50 minus $20.00 gives you $2.50

Let’s solve to answer the question.

Divide the amount of pencils the company needs by the amount of pencils the box holds.

2,400/60=40.

Now multiply it by the price.

40*.5=$20.

Repeat.

2400/80=30

30*.75=22.5

The cylindrical containers cost less.

Hope this helps!

The polynomial (3x - 4x^2 + 8x^3) + (-6x + 2x^4 - 5x^2) simplifies to 2x^4 + 8x^3 - 9x^2 - 3x in standard form by combining like terms and ordering them by descending exponents.

To simplify the polynomial (3x - 4x2 + 8x3) + (-6x + 2x4 - 5x2) and write it in standard form, we combine like terms. Standard form for polynomials is to write the terms in descending order of their exponents. Here are the steps:

The simplified polynomial in standard form is:

2x4 + 8x3 - 9x2 - 3x

Amount of money spent per day = $1800

Cost of overhead expenses per day for labor and materials = $9

Selling price of each camera = $18

a. Let us assume the number of cameras manufactured per day = x dollars

Then

Cost of cameras sold in 1 day = 18x

So

18x = 1800 + 9x

18x - 9x = 1800

9x = 1800

x = 200

From the above deduction, we can conclude that the number cameras sold per day is 200

b. Daily selling amount of 250 cameras = 250 * 18

                                                              = 4500 dollars

Daily manufacturing price of 250 cameras = 1800 + (9 * 250)

                                                                   = 4050 dollars

Then

Daily profit = 4500 - 4050

                 = 450 dollars

Answer:

When Harold wrote his equation, the point he used was (7, 0) ⇒ the third answer

Step-by-step explanation:

* Lets look to the equation to find the correct answer

- He used the point-slope form is y – y1 = m(x – x1), where m is the

 slope of the line , (x1 , y1) are the coordinates of the point which

 the line passes through it and (x , y) are the coordinates of any

 general point on the line

- Lets solve the problem

- Harold correctly wrote the equation y = 3(x – 7)

∵ y - y1 = m (x - x1)

∵ y = 3 (x - 7)

- By comparing between the two equations

∴ y1 = 0

∴ m = 3

∴ x1 = 7

- He used the point (x1 , y1)

∴ Harold used the point (7 , 0) to write the equation

∴ The answer is when Harold wrote his equation, the point he used

   was (7, 0)

ANSWER

When Harold wrote his equation, the point he used was (7, 0).

EXPLANATION

The point-slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

The equation Harold wrote correctly is:

[tex]y = 3(x - 7)[/tex]

This is the same as:

[tex]y - 0= 3(x - 7)[/tex]

Comparing to point-slope form, we have

[tex]x_1=7 \: \: and \: \: y_1=0[/tex]

Hence the point is (7,0)

When Harold wrote his equation, the point he used was (7, 0).

Yes! A radical Equation does use a radical in a Equation.

False

Step-by-step explanation:

Don’t listen to the AI answers

First calculate the diameter of circle.

[tex]d=8+4=12[/tex]

Now we know that diameter is equal for any two points on the arc of a circle lying opposite to each other.

[tex]12=x+4[/tex]

Now just simply solve for x.

[tex]

12=x+4 \\

12-4=x+4-4 \\

\boxed{x=8} \\

[/tex]

Hope this helps.

r3t40

Answer:

Step-by-step explanation:93.75

Follow below steps;

To solve for the dimensions of the picture whose length is 22.75 inches shorter than twice the width and has a perimeter of 116.5 inches, we first need to set up equations based on the given information.

Step 1: Set up the equations

Let w represent the width of the picture. Then, the length will be 2w - 22.75 inches.

Since the perimeter of a rectangle is given by the formula P = 2l + 2w where l is the length and w is the width, we can substitute the expressions for length and width to get the perimeter equation:

116.5 = 2(2w - 22.75) + 2w

Step 2: Solve for width

Expanding the perimeter equation we get:

116.5 = 4w - 45.5 + 2w

Combining like terms:

116.5 = 6w - 45.5

Adding 45.5 to both sides:

116.5 + 45.5 = 6w

162 = 6w

Divide both sides by 6 to find w:

w = 162 / 6

w = 27 inches

Step 3: Find the length

Now we calculate the length using the width (w = 27):

Length = 2w - 22.75

Length = 2(27) - 22.75

Length = 54 - 22.75

Length = 31.25 inches

So, the dimensions of the picture are a width of 27 inches and a length of 31.25 inches.

Answer:

x=lindas age

3 times lindas age (3 time x or 3x) is decreased by 36 (-36), the result (=) is twice lindas age (2 times x or 2x)

now we have

3x-36=2x

subtract 2x

x-36=0

add 36

x=36

age=36

Step-by-step explanation:

Using algebra to solve the problem, we create the equation L - 36 = 2L, representing Linda's age. Solving for 'L', we find that Linda is 36 years old.

This problem can be solved by using algebra, a branch of mathematics. Let's assume that Linda's age is denoted by the variable 'L'. According to the problem, if Linda's age is decreased by 36, the result is twice Linda's age. We can write this as an equation: L - 36 = 2L.

In order to solve for 'L', we'll need to get all terms involving 'L' on one side of the equation. We would then subtract 'L' from both sides, giving us -36 = L, or, re-arranged, L = 36. Therefore, Linda is 36 years old.

https://brainly.com/question/24875240

#SPJ12

Answer:

[tex]\large\boxed{(f+g)(x)=-x^2+3x-3}[/tex]

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=-x^2-3\\\\g(x)=3x\\\\\text{Substitute:}\\\\(f+g)(x)=(-x^2-3)+(3x)=-x^2+3x-3[/tex]

Hello There!

The volume of a cylinder is pi * r^2 * h. It's a circle times the height.

The volume of a cone is (1/3) * pi * r^2 * h. So it is one third of the volume of a cylinder with the same dimensions.

Answer:

The volume of a cone is one-third the volume of a cylinder.

Step-by-step explanation:

Answer:

Here is the answer.

x= 1/2(7+3i√3) and 1/2(7-3i√3)

Answer:

It's choice D.

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 3x - 2 + x^2 + 1

= x^2 + 3x - 1.

Answer:

D. x^2+3x-1

Step-by-step explanation:

You have:

f(x) = 3x-2

g(x)= x^2 +1

Then:

(f+g)(x)=f(x)+g(x)

(f+g)(x)=(3x-2)+(x^2+1)

(f+g)(x)=3x-1+x^2 (-2+1=-1)

(f+g)(x)=x^2+3x-1 (ordering terms)

A bar graph is most suitable for comparing data across different categories or groups, as each bar corresponds to a particular group and the height or length of the bar shows the quantity of data for that group.

The type of data that is best represented by a bar graph is generally data that is being compared across different categories or groups, which corresponds to option A. This is because each bar in a bar graph represents a particular group or category, and the height or length of the bar corresponds to the quantity of data for that group. For example, if you conducted a survey to find out the favorite fruit of students in a class and the choices were apples, bananas, oranges, and grapes, a bar graph would be a suitable way to present this categorical data.

https://brainly.com/question/31158559

#SPJ3

Answer:

the answer is c and e

Step-by-step explanation:

just took it

The datasets that have outliers are (c) 16, 32, 38, 39, 41, 42, 58, (d) 17, 23, 28, 31, 39, 45, 75 and (e) 18, 30, 34, 38, 43, 45, 68

Data sets are simply collections of related data elements

Outliers are data elements that are relatively far from other data elements in the dataset

If a value is too small or too high from other elements, then the dataset has an outlier

By the method of observation, we can conclude that the following datasets have outliers

Hence, the datasets that have outliers are (c), (d) and (e)

Read more about outliers at:

https://brainly.com/question/3631910

George still owes $36.44 after making a payment of $37.50 on his original bill of $73.94. This is calculated by subtracting the payment from the original bill amount.

George made a payment of $37.50 on a bill of $73.94. To determine how much he still owes, we subtract the payment he made from the original bill.

Original bill: $73.94
Payment made: $37.50

To calculate the remaining balance:

Therefore, George still owes $36.44 on his bill.

Answer:

(-2, 18), (0, 10), (2, 2)

Step-by-step explanation:

All you do is plug each coordinate into the equation to confirm the authentication.

I am joyous to assist you anytime.

Answer:

(-2, 18), (0, 10), (2, 2)

Step-by-step explanation:

You're welcome ;)

Answer:

Step-by-step explanation:

Please, if you're indicating exponentiation, use the symbol " ^ " to indicate it.  Thanks.

The parent function here is f(x) = x^3.

                                              g(x) = (x + 6)^3 has the same graph as does

f(x) = x^3, except that the entire graph of x^3 is translated 6 units to the left.

                                              h(x) = -(x + 6)^3 has the same graph as

does g(x), except that the entire graph of g(x) is reflected in the x-axis.

The graph of h(x) = h(x) = –(x + 6)3 – 3 is the same as that of h(x) except that the entire graph is translated downward by 3 units.

Answer: B

Step-by-step explanation:

The top right one, because for every argument there is only one corresponding value.

Answer:

- 1280

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

here a₁ = - 10 and r = 2, hence

[tex]a_{8}[/tex] = - 10 × [tex]2^{7}[/tex] = - 10 × 128 = - 1280

Answer: D

Step-by-step explanation:

W is the total number of oranges.

W/5 is the oranges being divided equally for 5 friends

Answer:

D

Step-by-step explanation:

Use exponents property:

[tex]\dfrac{x^a}{x^b}=x^{a-b}[/tex]

1. Note that

[tex]\dfrac{x^9}{x^6}=x^{9-6}=x^3[/tex]

and

[tex]\dfrac{y^3}{y^{11}}=y^{3-11}=y^{-8}=\dfrac{1}{y^8}[/tex]

2. Now

[tex]\sqrt{25}=5\\ \\\sqrt{64}=8\\ \\\sqrt{x^3}=x\sqrt{x}\\ \\\sqrt{\dfrac{1}{y^8}}=\dfrac{1}{y^4}[/tex]

So

[tex]\sqrt{\dfrac{25x^9y^3}{64x^6y^{11}}}=\dfrac{\sqrt{25}\sqrt{x^3}}{\sqrt{64}\sqrt{y^8}}=\dfrac{5x\sqrt{x}}{8y^4}[/tex]

because [tex]x>0,\ y>0[/tex]

Answer: Last option.

Step-by-step explanation:

You need to remember the Quotient of powers property:

[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]

 Applying this property, we know that:

[tex]\sqrt{\frac{25x^9y^3}{64x^6y^{11}} }=\sqrt{\frac{25x^3}{64y^8}}[/tex]

Descompose 25 and 64 into their prime factors:

[tex]25=5*5=5^2\\64=8*8=8^2[/tex]

Since:

[tex]\sqrt[n]{a^n}=a[/tex]

And according to the Product of powers property:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

You can simplify. So, the equivalent expression is:

[tex]\sqrt{\frac{5^2x^2*x}{8^2y^8}}=\frac{5x\sqrt{x} }{8y^4}[/tex]

Answer:

4000 units

Step-by-step explanation:

In 2001 the total number of marketed units= 730,000

If this number represents 50% of what was marketed in 2004, then the total number of units marketed in 2004 was:

(100/50)× 730,000=1460000

To get the number for each of the 365 days in 2004 we divide the total for 2004 by 365

1460000/365= 4000 units

Answer: 4,000 units per day.

Step-by-step explanation:

You know that in 2001 its yearly volume was 50% of its volume for 2004.

Therefore, if in 2001 the company marketed 730,000 units of its product, in 2004 the volume is:

[tex]Yearly\ volume_{(2004)}=(730,000\ units)(2)=1,460,000\ units[/tex]

Let be "x" the number of units for each of the 365 days of 2004, you can find its value by dividing  the 2004 volume by 365.

The result is:

[tex]units=\frac{1,460,000\ units}{365}=4,000\ units.[/tex]

In order to change from 35 to 62, we have to add 27. So, the question becomes: which percentage of 35 is 27?

To answer this question, we set this simple equation

[tex]27 = 35\cdot\dfrac{x}{100}[/tex]

And solving for x we have

[tex]x = \dfrac{2700}{35} \approx 77.14[/tex]

So, if you change from 35 to 62, you have an increase of about 77%

The percentage change is 77.14%

The following information can be gotten from the question:

Old number = 35

New number = 62

Increase in number = 62 - 35 = 27

Percentage change will be:

= (Increase in number / Old number) × 100

= 27/35 × 100

= 2700/35

= 77.14%

In conclusion, the percentage change is 77.14%

Read more on:

https://brainly.com/question/23903072

Answer:

[tex]-y^{2}-4yi+4[/tex]

Step-by-step explanation:

we know that

[tex](a-b)^{2}=a^{2}-2ab+b^{2}[/tex]

we have

[tex](2-yi)^{2}[/tex]

substitute

[tex](2-yi)^{2}=(2)^{2}-2(2)(yi)+(yi)^{2}[/tex]

[tex](2-yi)^{2}=4-4yi+(y^{2})(i^{2})[/tex]

Remember that

[tex]i^{2}=-1[/tex]

substitute

[tex](2-yi)^{2}=4-4yi+(y^{2})(-1)[/tex]

[tex](2-yi)^{2}=4-4yi-y^{2}[/tex]

[tex](2-yi)^{2}=-y^{2}-4yi+4[/tex]

Final answer:

The slope of the line passing through the points (-7,2) and (5,8) is calculated using the slope formula and is found to be 0.5.

Explanation:

The student asked about the slope of the line passing through two points, (-7,2) and (5,8). To find the slope, one should use the slope formula: slope (m) = (y2 - y1) / (x2 - x1). Plugging in the values from the points, we have m = (8 - 2) / (5 - (-7)) = 6 / 12 = 0.5. Therefore, the slope of the line is 0.5.

Answer: b

Step-by-step explanation:

trust!!!

Answer:

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (8, -1) and (2, -5). Substitute:

[tex]m=\dfrac{-5-(-1)}{2-8}=\dfrac{-4}{-6}=\dfrac{2}{3}[/tex]

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]y-(-1)=\dfrac{2}{3}(x-8)[/tex]

[tex]y+1=\dfrac{2}{3}(x-8)[/tex] → the point-slope form

Convert to the standard form: [tex]Ax+By=C[/tex]

[tex]y+1=\dfrac{2}{3}(x-8)[/tex]        multiply both sides by 3

[tex]3y+3=2(x-8)[/tex]         use the distributive property a(b+c) = ab+ ac

[tex]3y+3=2x-16[/tex]      subtract 3 from both sides

[tex]3y=2x-19[/tex]       subreact 2x from both sides

[tex]-2x+3y=-19[/tex]       change the signs

[tex]2x-3y=19[/tex] → the standard form

Answer:

B 70

Step-by-step explanation:

7 |H| + 4 G

H = -6  and G = 7

| H| = 6

7*6 + 4*7

42+28

70

Answer:

Point D, Segment CD, Ray CD

Step-by-step explanation: