Find the value of y.
(12x + 9)
(8x + 11)º
(14y + 7)o

The answer fam is..... X = 6 - 2y, Y = 3 - x/2

The hot air balloon will descend 20.25 feet per second.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a hot air balloon is descending at a rate of 6.75 feet per second. The height of the balloon after 3 seconds will be:-

Rate of change = Height / Time

6.75 = Height / 3

Height = 6.75 x 3 = 20.25 feet

Therefore, the hot air balloon will descend 20.25 feet per second.

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Answer:

3.75

Step-by-step explanation:

Answer:

$3.75

Step-by-step explanation:

All you are going to do is multiply .05 or 5% by 75.

.05 * 75 = 3.75

(So now you are going to add 3.75 to $75 because the tax is 3.75)

75 + 3.75 = $78.75

(So you would pay $3.75 in tax)

Hope this helped!!

Answer:

the direction of the road

Step-by-step explanation:

To calculate the net force, we need to know the direction through which the forces are acting.

Are the forces directed towards one another or against each other?

  Net force is a vector sum of forces that acts on a body. It is that single force that can replace two or more forces acting on a body.

So, without knowing the direction, we cannot calculate the net force.

Answer:

78°

Step-by-step explanation:

Since, angles A and B are complementary.

[tex]\therefore m\angle A + m\angle B = 90\degree \\

\therefore (3x+9)\degree + (x - 11)\degree = 90\degree \\

\therefore (3x +x +9-11)\degree = 90\degree \\

\therefore (4x - 2)\degree = 90\degree \\

\therefore 4x - 2 = 90\\

4x = 90+2\\

4x = 92\\ \\ x = \frac{92}{4} \\ \\ x = 23 \\ \\ \because m\angle A = (3x+9)\degree \\ \therefore \: m\angle A = (3 \times 23+9)\degree \\ \therefore \: m\angle A = (69+9)\degree \\ \huge \red{ \boxed{ \therefore \: m\angle A = 78\degree }}[/tex]

Answer:

x= 20.05 degree

180= 43.25+36.50+5x

180= 79.75+5x

5x=180-79.75

5x=100.25

x=20.25

ANGLE B= 100.25

Answer:

3

Step-by-step explanation:

you have to make 1/4 a reciprocal

3/4 times 4/1

=3

Answer:

3

Step-by-step explanation:

Step 1:

3/4 × 1/4         Equation

Step 2:

3/4 × 4/1      Flip Fraction

Step 3:

3/1 = 3       Multiply

Answer:

3

Hope This Helps :)

Answer:

Average rate of change =250

Step-by-step explanation:

Formula to determine average rate of change of the function,

Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Where [tex]x_1[/tex] and [tex]x_2[/tex] are the points representing number of years after year 2000.

Since [tex]x_1[/tex] = 5 and [tex]x_2=19[/tex],

[tex]f(x_2)=650[/tex]

And [tex]f(x_1)=300[/tex]

Now average rate of change = [tex]\frac{650-300}{19-5}[/tex]

                                                = [tex]\frac{350}{14}[/tex]

                                                = 250

Therefore, average rate of change of the number of influenza cases from 2005 to 2019 is 250.

Answer:

x=4

Step-by-step explanation:

3x+x - 2x + 8= 3x + x

4x- 2x +8 = 4x

2x + 8= 4x

8= 2x

x=4

Answer:

a rectangle would provide the largest area for the pigs

Problem 5

Domain = [tex]-4 \le x \le 3[/tex]

This is because the smallest x value allowed is x = -4 as shown by the left-most point. The right most point has x coordinate x = 3, so this is the largest value in the domain.

The domain in interval notation is [-4, 3]. The square brackets include the endpoint.

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

Range = [tex]-4 \le y \le 5[/tex]

We're now looking at the possible y values. The lowest point happens when y = -4 and the highest point is when y = 5. We can have any y value between those endpoints.

The range in interval notation is [-4, 5]

=============================================================

Problem 6

Domain = [tex]-2 \le x < 2[/tex]

Same idea as the previous problem. This time the left most point has x = -2 and the right most point has x coordinate x = 2.

The big difference here is that the open hole says to not include the endpoint. The domain in interval notation is [-2, 2) where we use a parenthesis to not include the endpoint.

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

Range = [tex]-4 \le y < 4[/tex]

The smallest possible y value is y = -4. The ceiling for the y values is y = 4, but we can't actually reach this value due to the open hole.

The range in interval notation is [-4, 4)

=============================================================

Problem 7

Domain = [tex]-4 < x \le 2[/tex]

Same idea as earlier. Now the open hole is at the left endpoint. The right most point occurs not at an endpoint this time.

The domain in interval notation is (-4, 2]

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

Range: [tex]-4 < y < 4[/tex]

Both endpoints are open holes, so we exclude both endpoints.

The range in interval notation is (-4, 4). Unfortunately in this case, interval notation looks identical to ordered pair notation.

=============================================================

Problem 8

Domain = [tex]-5 < x < 3[/tex]

Domain in interval notation = (-5, 3)

The graph is too blurry to be able to determine the range.

Answer:

blank

Step-by-step explanation:

Answer:

Blank

Step-by-step explanation:

Answer:

3,0

0, -10

Step-by-step explanation:

Answer:

The number of compact cars = x = 30 cars

The number of intermediate-sized car = y = 60 cars

The number of full-size cars purchased = z = 10 cars

Step-by-step explanation:

Let us denote:

the number of compact car = x

the number of intermediate-sized car = y

the number of full-size cars purchased = z

The total number of cars to be purchased is 100.

Hence:

x + y + z = 100...........Equation 1

If Hartman purchases twice as many compacts as intermediate-size cars

y = 2x

So: x + 2x + z = 100..........Equation 2

= 3x + z = 100

z = 100 - 3x

Compacts cost $18,000 each, Intermediate-size cars cost $27,000

Full-size cars cost $36,000 each.

Assume that the entire budget will be used.

Hence,

x × $18,000 + y × $27,000 + z × $36,000 = $2,520,000.

18000x + 27000y + 36,000z = $2,520,000.....Equation 4

Substitute 100 - 3x for z and y = 2x in Equation 4

18000x + 27000(2x) + 36,000(100 - 3x) = $2520000

18000x + 54000x + 3,600,000 -108000x = $2520000

72000x -108000x + 3,600,000 = $2,520,000

= $3,600,000 - $2,520,000 = 108000x - 72,000x

$1,080,000 = 36,000x

Divide both sides by $36,000

x = $1080000/36000

x = 30

From the above:

y = 2x

y = 2 × 30

= 60

z = 100 - 3x

= 100 - 3 × 30

= 100 - 90

= 10

Therefore,

The number of compact cars = x = 30 cars

The number of intermediate-sized car = y = 60 cars

The number of full-size cars purchased = z = 10 cars

Answer:

8 cm.

Step-by-step explanation:

Area = length × width

Use the variable w instead of width.

Area = w × (w+3)

Substitute 40 for the Area

40 = w × (w + 3)

Create a table to find the greatest common factors of 40.

1 × 40, not it because 40 is 39 units greater than 1, not 3

2 ×20, not it because 20 is 18 units greater than 2, not 3

4 × 10, not it because 10 is 6 units greater than 4, not 3

5 × 8, correct because 8 is 3 units greater than 5

Now substitute 5 for w to check your answer

40 = 5 × (5 +3 )

40 = 5 × 8

40 = 40

The answer is correct.

Hope this helps!!!

A rectangle is a quadrilateral with 4 sides. In a rectangle, one side is longer than the other. The longer side is called the width and the shorter side is called the length.

The length of the rectangle is 8cm.

The formula  for the area of a rectangle is given as :

Length x Width

From the question, the length is 3 more than its width​. We can represent this mathematically as:

L = W + 3

Area of the rectangle = 40 sq. cm

Inputting this into the formula

(W + 3) x W = 40

W² + 3W = 40

W² + 3W - 40 = 0

Factorise

W² +8W - 5W - 40 = 0

W(W + 8) - 5(W + 8) = 0

(W + 8)(W - 5) = 0

To find W

W + 8 = 0

W = - 8 or

W - 5 = 0

W = 5 cm

Therefore, the width is 5cm.

To find the length, L = W + 3

L = 5 + 3

L = 8 cm

Therefore, the length is 8 cm.

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Answer:

D.

Step-by-step explanation:

(m^2- 4n)(m^4+4m^2n+16n^2)

Option D is our correct answer.

i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).

Given,

[tex]m^{6}[/tex] - 64n³

We need to find the factored form of this.

And select the correct options.

A. (m2 + 4n)(m4 − 4m2n + 16n2)

B. (m − 4n2)(m2 + 4mn2 + 16n4)

C. (m + 4n2)(m2 − 4mn2 + 16n4)

D. (m2 − 4n)(m4 + 4m2n + 16n2)

It is given as:

( a - b ) ( a² + ab + b² )

Find the factored form [tex]m^{6}[/tex] - 64n³

We can write this as,

[tex](m^{2})^3[/tex] - 4³n³

(m²)³ - (4n)³

This is in the form of (a³ - b³).

Applying this formula.

Now,

(m² - 4n) ((m²)² + 4nm + (4n)²)

(m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²)

Thus Option D is our correct answer.

i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).

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Answer:

D.The addition property of equality applies to equations with rational expressions.​

Step-by-step explanation:

Answer: $100.00 per pound

Answer:

d is ur answer maybe ok ok ok

Answer:

B. N(n+8)

Step-by-step explanation:

A rectangle's area is Length x Width

The rectange's length is not known to us. N is it's variable

It says the width is 8 units mor then the length and ask for the are of the rectangle.

Now since rectangle's area is length times width we multiply n (the length) with the width (8+n).

This would be N(n+8)

The answer is 200 because when you divide 110 from 55% you get 200.

Of the students in the marching band, 55% plan to go to the school dance, so there are 200 students in the marching band.

A certain portion or amount in every hundred is referred to as a percentage. The fraction is denoted by the sign "%," and its denominator is 100.

The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.

From the given values in the question,

Assume that total number of students in marching band is x.

55% of x = 110 or,

(55/100) × x = 110

x = (110 × 100) / 55

x = 200.

Hence, it concludes that there are total 200 students are in the marching band.

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Step-by-step explanation:

Hey there!

Now, let's look into figure.

angle ACB = 65° { Base angle of triangle ABC}

angle ACB + angle BAC + angle ABC = 180°

65° + 65° + angle ABC = 180°

angle ABC = 180°-130°

Therefore, angle 50°

angle EBD = 50° ( Vertically opposite angle)

Now;

angle EBD= angle DEB = 50° ( Base angle of triangle BDE )

angle BDE + angle DEB + angle EBD = 180° ( Sum of interior angle)

angle BDE = 180° -100°

Therefore, angle BDE = 80°.

Now, 80° + 14x + 2 = 180° { being linear pair}

14x = 180°-82°

14x = 98°

[tex]x = \frac{98}{14} [/tex]

X = 7°

Hope it helps......

Answer:

1,000.000,000,000

Step-by-step explanation:

Answer:

free

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

[tex]f(x) = 10 - \frac{9}{2} x \\ \\ plug \: f(x) = - 53 \\ \\ - 53 = 10 - \frac{9}{2} x \\ \\ \frac{9}{2} x = 10 + 53 \\ \\ \frac{9}{2} x = 63 \\ \\ x = 63 \times \frac{2}{9} \\ \\ x = 7 \times 2 \\ \\ x = 14[/tex]

Answer:

b

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

185-(-40)=

185+40=

225

Answer:   145

Step-by-step explanation:  -40+185=145 Your welcome :)

Answer: The correct option is (B).

True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and set is linearly dependent.  

Step-by-step explanation:  

Given that;

If V₁ ....... V₄ are in R⁴ and V₃ = 2V₁ + V₂ then {V₁, V₂, V₃, V₄} is linearly dependent.  

Lets {V₁, V₂, V₃, V₄}  are linearly dependent

Then there exist a scalars C₁, C₂, C₃, C₄

So that C₁V₁ + C₂V₂ + C₃V₃ + C₄V₄ = 0

where at least one of the Ci ≠ 0.  

Take C₃ ≠  0 then we have V₃ = (C₁V₁ + C₂V₂ + C₄V₄) / C₃

V₃ is a linear combination of V₁, V₂ and V₄}

that is

Given V₃ = 2V₁ + V₂

⇒ 2V₁ + V₂ - V₃ = 0

⇒ 2V₁ + V₂ + V₃ + 0V₃ = 0

Here, C₁ = 1, C₂ = 1,  C₃ = -1 and C₄ = 0

So that {V₁, V₂, V₃, V₄} is linearly dependent.

therefore option B id the right answer.

- True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and set is linearly dependent.  

B is the correct option. True, The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and the set is linearly dependent.  

If V₁ ....... V₄ are in R⁴ and V₃ = 2V₁ + V₂ then {V₁, V₂, V₃, V₄} is linearly dependent.  

A set of vectors is linearly dependent if some vector can be expressed as a linear combination of the others.

Let's consider {V₁, V₂, V₃, V₄}  are linearly dependent

then there exist a scalars C₁, C₂, C₃, C₄

therefore, C₁V₁ + C₂V₂ + C₃V₃ + C₄V₄ = 0

where at least one of the Ci ≠ 0.  

Lets C₃ ≠  0 then we will get

V₃ = (C₁V₁ + C₂V₂ + C₄V₄) / C₃

V₃ is a linear combination of V₁, V₂, and V₄

which means V₃ = 2V₁ + V₂

2V₁ + V₂ - V₃ = 0

2V₁ + V₂ + V₃ + 0V₃ = 0

Here, C₁ = 1, C₂ = 1,  C₃ = -1 and C₄ = 0

therefore, {V₁, V₂, V₃, V₄} is linearly dependent.

So, option B is correct here.

True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others, and the set is linearly dependent.  

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