Solve the equation for y: -3y - 2 = 10

Answer:

Step-by-step explanation:

To find the number of inches, divide miles by 9.5.

__

a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in

__

b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in

_____

Comment on units conversion

I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.

The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.

__

Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".

  map inches/ground miles = 1/9.5 = x/24

  route inches/scale inches = route miles/scale miles = x/1 = 24/9.5

Answer:

[tex]\frac{17}{96}[/tex]

Step-by-step explanation:

Given  m = - [tex]\frac{96}{17}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{96}{17} }[/tex] = [tex]\frac{17}{96}[/tex]

You can use the Pythagorean Theorem to find missing lengths in objects that are right triangles.

The Pythagorean Theorem is a mathematical principle that relates to right triangles. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

You can use the Pythagorean Theorem to find missing lengths in objects that are right triangles.

The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

By rearranging the formula, you can solve for the missing length when given the lengths of the other two sides.

This can be applied to real-world problems involving measurements of objects or distances, such as determining the length of a ladder needed to reach a certain height on a wall or calculating the distance between two points on a map.

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Practice:

1. A.

2. D. y=5+0.84x-0.03x^2, x>=0

3. B. y=2/x, x>0

Quiz:

1. A C E. (-4,4) (0,0) (6,9)

2. A. y=-1/3x+19/3

3. D. x=2y^2-1, y>=0

4. B. y=3/x^2, x>0

For the first parametric functions the cartisian function is y = 5+ 0.84x - 0.7x², and for the second parametric function the cartisian function is y = 2/x where x>0

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

For the first parametric functions:

[tex]\rm x(t)=23t \\\\y(t)=5+19.3t-16t^2[/tex]

[tex]\rm t = \dfrac{x}{23}[/tex]

Put this value in the y(t)

[tex]\rm y=5+19.3(\dfrac{x}{23})-16(\dfrac{x}{23})^2[/tex]

y = 5+ 0.84x - 0.7x²

For the second parametric functions

[tex]\rm x(t)=e^t .....(1)\\\\y(t)=2e^-^t[/tex]

Taking ln in equation (1)

lnx = t

Put this value in equation (2)

[tex]\rm y=2e^{-lnx}[/tex]

y = 2/x,   x>0

Thus, for the first parametric functions the cartisian function is y = 5+ 0.84x - 0.7x², and for the second parametric function the cartisian function is y = 2/x where x>0

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Answer:

14 hours

antonio es gay

Step-by-step explanation:

Answer:

32.15 = (3 x 10) + (2 x 1) + (1/10) + (5/100)

Step-by-step explanation:

Answer:

rectangles perimeter: 6w

equilateral triangles perimeter: 3w+24

scenario’s equation: 6w=3w+24

Step-by-step explanation:

w=8

rectangles perimeter= 48

EQUTRI perimeter= 48

Answer:

1st part: 3rd option

2nd part: 4th option

3rd part: 4th option

Step-by-step explanation:

Which expression represents the rectangle’s perimeter?

2(2w-6)+2(w)

Which expression represents the triangle’s perimeter?

3(w+8)

What is the perimeter of both polygons?

60 units

Answer:

A- 462.86

Step-by-step explanation:

Final answer:

By applying polar to rectangular coordinates conversion formulas, the polar equation r = 5/(1+cos(θ)) is equivalent to the rectangular coordinate equation y² = 25 - 10x, which matches option D.

Explanation:

To convert the polar equation r = 5/(1+cos(θ)) to rectangular coordinates, we use the relationships between polar and rectangular coordinates: r = √x² + y² and cos(θ) = x/r. Substituting these into the given equation, we get:

r = √x² + y²;

cos(θ) = x/r;

r(1+cos(θ)) = 5;

r + r x/r = 5;

r + x = 5;

r = 5 - x;
Substitute back in for r, we get:

(√x² + y²) = 5 - x;
Squaring both sides gives us x² + y² = (5 - x)² which can be simplified to x² + y² = 25 - 10x + x². Canceling x² from both sides and reordering the terms gives us y² = 25 - 10x, which matches option D.

Answer:

11/2, 3/10 , -2, -2 3/4

Step-by-step explanation:

negatives are definitely on the least side. And 11/2 is 5 1/2 which is way greater 3/10. -2 3/4 means it is 3/4 more away from 0 than -2 is. So here!

The order from greatest to least is:

-2: This is a negative number, which means it is less than zero.

1 1/2 (or 1.5): A positive number greater than zero.

-2 3/4 (or -2.75): This is also a negative number and is less than -2.

3/10 (or 0.3): This is another positive number, but less than 1.

Negative numbers always rank lower than positive numbers.

Among the negative numbers, -2 is greater than -2.75.

Comparing the positive numbers:  

1.5 is greater than 0.3.

After dilation, the size of the new image is not the same as the original. Therefore, dilation cannot produce a congruent figure.

Recall:

Dilation is a transformation that enlarges a figure or reduces the figure.

After dilation, the new figure maintains the same shape of the original figure.

However, after dilation, the size of the new image is not the same as the original. Therefore, dilation cannot produce a congruent figure.

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The total number of pages in Daniel's book is 70 pages.

Given that Daniel has read 60% of it and that he has 28 pages left to finish it. The remaining 28 pages represent the

40% of the book that Daniel has not read yet.

We can set up the equation where 40% of the total page number (represented as x) equals 28 pages.

0.40x = 28

x = 28 / 0.40

x = 70

There are 70 pages in the book.

To find the total number of pages in the book, we'll start by setting up an equation based on the information provided. Let's denote the total number of pages in the book as x.

Daniel has read 60% of the book, leaving 40% unread. Given that he has 28 more pages to finish, we can express this information in an equation:

0.40x = 28

This equation represents the 40% of the book that Daniel has yet to read, which equals the 28 pages remaining.

To find the total number of pages ( x ), we divide both sides of the equation by 0.40:

[tex]\[ x = \frac{28}{0.40} \][/tex]

x = 70

So, there are 70 pages in the book. This solution implies that there are 70 pages, considering that "nothing" is simply a placeholder value and doesn't affect the calculation.

Answer:

21

but if ur serius then 19

Step-by-step explanation:

Answer:

19 Apples

Step-by-step explanation:

If john originally had 9 apples and then added ten more to his pile, then John would have 19 apples in all.

Answer:

1) 2/16 |  4/32 | 5/40 | 9/72

2) 2/1.4 | 3/2.1 | 6/4.2 | 8/5.3

Step-by-step explanation:

4*8 is 32

40/8 is 5

72/8 is 9

2.1/.7 is 3

6*.7 is 4.2

8*.7 is 5.6

With the first chart all it is doing is going up by 8. So, take the time and multiply it by 8. An if you noticed the time is counting up by 2. So for the missing time just count up by 2.

For the second chart it is a little harder. The second box for the weight seems to be 3 and all you have to do for the price is take the top number and multiply it by 0.70 and you should get your answer!

Thank you for asking you question i enjoyed helping!

-MajorJax3

Answer:

$15700

Step-by-step explanation:

To find the cost, you multiply $50 by the area of the floor.  The floor must be a circle ("radius"), so to find the area of a circle, use the formula[tex]A=\pi r^2 \\ A=\pi(10)^2 \\ A=(3.14)(100)=314\text{ square feet}[/tex]

Multiply 314 sq. ft. by the cost per sq. ft.

314 x 50 = 15700

Answer:

69

Step-by-step explanation:for the boys

Answer:

2.85 ft

Step-by-step explanation:

To find the length of the poster, take the length of the wall and multiply the the decimal length

11.4* .25

2.85

Answer:

Step-by-step explanation:

Given the sequence

[tex]-1/9, 1/3, -1, 3, -9, ...[/tex]

The common ratio is determined by the division of term by the previous term.

Common Ratio, [tex]r=\frac{1/3}{-1/9} =\frac{-1}{1/3} =\frac{3}{-1}=-3[/tex]

A recursive formula is a formula that defines each term of a sequence using preceding term(s).

For the given sequence, the recursive formula is:

[tex]\left\{\begin{array}{ccc}a_1=-\frac{1}{9}\\a_n=-3a_{n-1}\end{array}\right[/tex]

Answer:

−3; f(x + 1) = −3(f(x))

The answer is B.

Step-by-step explanation:

Answer:

Cliff is 45 m tall.

Step-by-step explanation:

Given:

Height of Sarah = 1.8 m

Angle of elevation = 60°

Angle of elevation 50 m back = 30°

As shown in the figure we have two right angled triangles SPQ and SPR.

Let the height of the cliff be [tex]h[/tex] meters and [tex]h= h_1+h_s[/tex].

Using trigonometric ratios:

tan (Ф) = opposite/adjacent

In ΔSPQ.                                        In ΔSPR.

⇒ [tex]tan(60) = \frac{h_1}{x}[/tex] ...equation (i)        ⇒ [tex]tan (30)=\frac{h_1}{x+50}[/tex]  ...equation (ii)

Dividing equation (i) and (ii)

⇒ [tex]\frac{tan(60)}{tan(30)} = \frac{h_1}{x} \times \frac{x+50}{h_1}[/tex]

⇒ [tex]3 = \frac{x+50}{x}[/tex]

⇒ [tex]3x=x+50[/tex]

⇒ [tex]3x-x=50[/tex]

⇒ [tex]2x=50[/tex]

⇒ [tex]x=\frac{50}{2}[/tex]

⇒ [tex]x=25[/tex] meters

To find [tex]h_1[/tex] plugging [tex]x=25[/tex] in equation (i)

⇒ [tex]h_1=x\times tan(60)[/tex]

⇒ [tex]h_1=25\times 1.73[/tex]

⇒ [tex]h_1=43.25[/tex] meters

The height of the cliff from ground :

⇒ [tex]h= h_1+h_s[/tex]

⇒ [tex]h= 43.25+1.8[/tex]

⇒ [tex]h=45.05[/tex] meters

The cliff is 45 m tall to the nearest meter.

The new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².

Given is that during a 20-year period, G and I can be modeled by the following equation (where t is the time in years) :

G = 674 + 3t – 2t² + 5t + 60

I = 314 - 31 + 512 - 5t + 45

where {G} is the number (in billions) of new green tea sales and {I} be the number in billions of new fruit juice sales.

A new model {A} for the total number of new green tea and fruit juice sales can be written as -

{A} = {G} + {I}

{A} = 674 + 3t – 2t² + 5t + 60 + 314 - 31 + 512 - 5t + 45

{A} = (674 + 60 + 314 - 31 + 512 + 45) + (3t + 5t - 5t) - 2t²

{A} = 1574 + 3t - 2t²

Therefore, the new model {A} for the total number of new green tea and fruit juice sales can be written as {A} = 1574 + 3t - 2t².

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Final answer:

To create a new model for the total sales of green tea and fruit juice, the sales equations for both products are added together and simplified, resulting in the model A = 3t² + 1093, representing combined sales in billions as a function of time in years.

Explanation:

To find a new model A for the total number of new green tea and fruit juice sales, we need to combine the models given for G (green tea sales) and J (fruit juice sales). The models provided had some errors, but they should be:

G = 674 + 3t – 2t² + 5t + 60

and

J = 314 – 3t + 5t² – 5t + 45

Combining these models to form A (total sales), we add G and J together:

A = G + J

= (674 + 3t – 2t² + 5t + 60) + (314 – 3t + 5t² – 5t + 45)

Now, we simplify the equation by combining like terms:

A = (674 + 314) + (3t – 3t) + (5t – 5t) – 2t² + 5t² + (60 + 45)

A = 988 + 0t + 0t + 3t² + 105

A = 988 + 3t² + 105

A = 3t² + 1093

Therefore, the new model A for the total sales is A = 3t² + 1093. This model represents the combined sales of green tea and fruit juice in billions of dollars during the 20-year period as a function of time t in years.

The point of intersection of the lines given by the equations [tex]\( 11x - 6y = 2 \) and \( -8x + 5y = 3 \) is \( (4, 7) \).[/tex]

To find the points of intersection of the given lines, we need to solve the system of linear equations simultaneously.

 The given equations are:

[tex]\[ 11x - 6y = 2 \quad \text{(Equation 1)} \][/tex]

[tex]\[ -8x + 5y = 3 \quad \text{(Equation 2)} \][/tex]

 We can solve this system using the method of substitution or elimination. Let's use the elimination method to find the values of [tex]\( x \)[/tex]and [tex]\( y \).[/tex]

 First, we will make the coefficients of [tex]\( y \)[/tex] the same in both equations by multiplying Equation 1 by 5 and Equation 2 by 6:

 [tex]\[ 5(11x - 6y) = 5(2) \][/tex]

[tex]\[ 6(-8x + 5y) = 6(3) \][/tex]

 This gives us:

[tex]\[ 55x - 30y = 10 \quad \text{(Equation 3)} \][/tex]

[tex]\[ -48x + 30y = 18 \quad \text{(Equation 4)} \][/tex]

 Now, we add Equation 3 and Equation 4 to eliminate [tex]\( y \):[/tex]

[tex]\[ (55x - 30y) + (-48x + 30y) = 10 + 18 \][/tex]

[tex]\[ 7x = 28 \][/tex]

 Dividing both sides by 7, we get:

[tex]\[ x = 4 \][/tex]

 Now that we have the value of [tex]\( x \)[/tex], we can substitute it back into either Equation 1 or Equation 2 to find the value of [tex]\( y \)[/tex]. Let's use Equation 1:

[tex]\[ 11(4) - 6y = 2 \][/tex]

[tex]\[ 44 - 6y = 2 \][/tex]

 Subtracting 44 from both sides, we get:

[tex]\[ -6y = -42 \][/tex]  Dividing both sides by -6, we get:

[tex]\[ y = 7 \][/tex].

Answer:

Darcy and Joe

Step-by-step explanation:

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------------

The answer is D; Darcy and Joe.

Everyone's area's:

Tess = 21.

Darcy = 24.

Meg = 25.

Joe = 24.

Answer:

The answer is D.

Step-by-step explanation:

Distributive Property

4x3=12

4x7=28

28+12=40

Answer:

6in2

Step-by-step explanation:

i`m doing the assignment.

Answer:

6in^2

Step-by-step explanation:

The answer is 6in^2, I just did the assignment on Ed$ge$nuity and I got it right.

Answer:

Step-by-step explanation:

You know these ordered pairs are considered a function, because the x intercepts do not repeat themselves. In other words, each input numbers are different. If these ordered pairs were not a function, the x intercept would be repeating. For example,  22 is already a x intercept, (22,4), if 22 was put in as another x intercept like,(22,1) these ordered pairs would not be a function.

By using the similar triangles principle, the height of the building is found to be 132 meters. We find this by setting up a proportion between the known ratios of the pole's height to its shadow and solving for the building's height.

We can solve the problem using similar triangles. The ratio of the height of the pole to its shadow is the same as the ratio of the height of the building to its shadow. Since the height of the pole is 6m and its shadow is 10m, we have the ratio of the height to the shadow for the pole as 6/10 or 3/5.

This ratio will be equal to the ratio of the height of the building (which we'll call h) to the shadow of the building (220 m), so we can write the proportion as:

3/5 = h/220

Now we solve for h:

3/220 = h/5

h = (3/5) × 220

h = (3 × 44)

h = 132m

So the height of the building is 132m.

Answer:

The mail carrier can carry 40 letters.

Step-by-step explanation:

The first step is to put ounces into pounds.

1 lb = 16 oz  This is the unit rate

0.75 lbs = 12 oz

Now put the 30 lbs into ounces

30 lbs = 480 oz

Divide 480 oz by 12 oz to find how many letters equal 480 oz.

480/12 = 40 letters

If this answer is correct, please make me Brainliest!

Answer:

Hi! I am late but its 40 oz

Step-by-step explanation:

Answer:IS C

Step-by-step explanation:

Answer:

The party was 4 hours long.

Step-by-step explanation:

Subtract the total by the amount already known was spent directly.

320.91-200.39= 120.52

Now, in order to figure out how many hours the part was, take how much each hour and divide it by the remainder of money.

Thus, 120.52/30.13 = 4

All things put into consideration, The party was 4 hours long.

I hope this helped!!

~ Penny

Answer:

i think it is 20 + 5x = 50    or  f(x)=2(3^x)

Step-by-step explanation:

equation to show how many cakes sam baked this week:

20 + 5x = 50

20 = 20 dollars

5 = 5 more dollars

x = number of cakes

therefore, sam earned $50 this week.

Answer:

20+5x=50

x will represent the number of cakes she baked

she gets paid $5 for every cake she bakes, this is where the 5x comes from

she makes $20 ("in addition" that's where the "+20" comes from) a week. However, in this case we're only talking about what she made in one week, hense why there is no variable attached to the 20

she makes a total of $50

20+5=50

she baked a total of 6 cakes. How?

subtract 20 from both sides so you have:

5x=30

divide both sides by 5 to get x by itself:

x=6