The diameter of a circle is 3.5 inches. What is the circumference of the circle?

Answer:

17.

Step-by-step explanation:

f(x) = 2x^2 - 1

f(-3) = 2(-3)^2 - 1

= 2 * 9 - 1

= 18 - 1

= 17

Hope this helps!

Hope it will help u....

Answer:

The bigger avocado will be a better deal if the ratio of the sizes of the bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.

Step-by-step explanation:

Given that two sizea of avocados are being sold, since the regular size is being sold for $0.84 each, let the price for the bigger avocado be $x.

Then note the following:

1. How bigger than the smaller avocado is the bigger one?

This would determine if the price for the bigger one is a bargain, or a mistake.

If for instance, the bigger avocado is double the size of the smaller one, then for any price, $x less that $1.68 (twice of $0.84), it is a bargain.

The bigger avocado will be a better deal if the ratio of the sizes bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.

Answer:

The better deal cannot be decided as we were not the weights of the 2 avocados. However, we assume they are x is the price of the larger avocado and y the weight of the larger avocado. Therefore we calculate the price per pound of the larger avocado which is x/y. The weight of the smaller avocado is called z while the price od the smaller / regular avocado is $0.84.The price per pound of the smaller / regular avocado is calculated as 0.84/z. Therefore x/y<0.84/z will make buying the longer avocado a better deal. Also, x/y>0.84/z will make buying the smaller/ regular avocado a better deal.

Step-by-step explanation:

The better deal cannot be decided as we were not the weights of the 2 avocados. However, we assume they are x is the price of the larger avocado and y the weight of the larger avocado. Therefore we calculate the price per pound of the larger avocado which is x/y. The weight of the smaller avocado is called z while the price od the smaller / regular avocado is $0.84.The price per pound of the smaller / regular avocado is calculated as 0.84/z. Therefore x/y<0.84/z will make buying the longer avocado a better deal. Also, x/y>0.84/z will make buying the smaller/ regular avocado a better deal.

Answer:

  p = 10

Step-by-step explanation:

Maybe you want ...

  [tex]\dfrac{3}{5}=\dfrac{p+5}{25}\\\\15=p+5\qquad\text{multiply by 25}\\\\10=p\qquad\text{subtract 5}[/tex]

The value of p is 10 to make (p+5)/25 = 3/5.

Answer:

[tex]\large \boxed{\sf \ \ \ a\cdot b= 6 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex](a-bi)^2 = 13 - 12i\\\\<=> a^2+(bi)^2-2abi = 13-12i\\\\<=>a^2-b^2-2abi=13-12i[/tex]

Imaginary term must be the same so

-2ab=-12

2ab = 12

ab = 12/2 = 6

So the product of a and b is 6

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Let's solve the given equation step by step to find the product of a and b. Initially,

let's expand the left side of the equation: [tex](a - bi)^2 = (a - bi)(a - bi) = a^2 - abi - abi + b^2i^2 = a^2 - 2abi + b^2(-1) = a^2 - 2abi - b^2[/tex] We are given that this result is equal to[tex]13 - 12[/tex]i, so we can set up the following equation: [tex]a^2 - 2abi - b^2 = 13 - 12i[/tex] By comparing the real and imaginary parts of both sides, we can form two equations:

Equation [tex]1: a^2 - b^2 = 13[/tex]  (Equating real parts) Equation [tex]2: -2ab = -12[/tex](Equating imaginary parts) From Equation 2, we can deduce that ab = 6. To proceed further and find the product of a and b, we need more information. The current given equation has infinite possible solutions for a and b.

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Answer:

First blank: 6a

Second blank: 2/3

Third blank: 21.6

Fourth blank: 3.9

Step-by-step explanation:

Basically, all you need to do is distribute the 2/3 to the stuff inside the parentheses. That means in the first blank, write 6a inside since you're multiplying 2/3 and 6a, and then in the second blank you write 2/3 since you're multiplying 2/3 and 9 together.

2/3*6a+2/3*9 = 21.6 is what you should have.

Now, just solve for a.

4a+6 = 21.6

4a=15.6

a=3.9

Answer:

2/3 * 6a+ 2/3 +9 = 21.6

a = 3.9

Step-by-step explanation:

2/3 ( 6a+9) = 21.6

Distribute

2/3 * 6a+ 2/3 +9 = 21.6

4a + 6 = 21.6

Subtract 6 from each side

4a = 15.6

Divide each side by 4

4a/4 = 15.6/4

a =3.9

Answer:

E

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂. y₂ ) = (8, 2) ← 2 points on the line

m = [tex]\frac{2-0}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]

y = [tex]\frac{1}{4}[/tex] x → E

Answer:

y=1/4x

Step-by-step explanation:

because its the answer

Answer:

385 hamburgers.

Step-by-step explanation:

So the data they have given us is that there have been 2 home games, with 70 hamburgers sold. If we divide the number of hamburgers sold by the number of games (70/2), we come up with the average hamburgers sold per game, which is 35. We can use an equation to find the amount of hamburgers sold for every x amount of games. [tex]h = 35x[/tex], with x being the amount of games, and h being the total amount of hamburgers. If you plug in 11 for x, you will get 385.

Answer:

Option D is the correct option.

Step-by-step explanation:

As they are similar, correspondence sides are in common ratios:

[tex] \frac{x}{10} = \frac{10}{5} [/tex]

Apply cross product property

[tex]5x = 10 \times 10[/tex]

Multiply the numbers

[tex]5x = 100[/tex]

Divide both sides of the equation by 5

[tex] \frac{5x}{5} = \frac{100}{5} [/tex]

Calculate

[tex]x = 20[/tex]

Hope this helps...

Best regards!!

Answer:

6x^3y^2+18x^4y^3+18x^2y^5

Step-by-step explanation:

Multiply each term:

6x^3y^2+18x^4y^3+18x^2y^5

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Answer:

D

Step-by-step explanation:

Here, we are given the values of the areas of the two triangles and we want to find the sum of these areas

The sum can be found by adding the area of triangle A to the area of triangle B

That would be;

x^2 + x + x^2-3x = 2x^2 -2x

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a right triangle, the sides forming the right angle also determine the angle opposite one of the sides.

Tan(29) =26/x                Multiply both sides by x

x tan(29) = 26                 Divide by tan(29)

x = 26/tan(29)                Find tan(29)

x = 26/0.5543                Divide

x= 46.9

Answer:

160°

Step-by-step explanation:

The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80  to get 110 than subtracted that from 180 to get 70. Lastly, i added 90°  to 70°  to get 160°

Hope this helped you get the answer :)

The measure of angle B in Parallel lines will be 160°.

What are parallel lines?

Parallel lines are those lines that never intersect at any point and always maintain a constant distance.

We have,

Lines L and K are parallel to each other.

And,

The measure of angle A = 120°

The measure of angle C = 80°

Now,

Draw a straight line from A to B,

So, that ∠BAl = 90° and

∠ABk = 90°

We get,

ΔABC,

Now in ΔABC,

∠C = 80°

∠A = 120 - 90 = 30°

So, Using Tringle angle sum property,

80° + 30° + ∠ABC = 180°

⇒

∠ABC = 180° - 110°

∠ABC = 70°,

Now,

Adding  ∠ABC and ∠ABk, to get  ∠CBk,

i.e.

∠CBk = ∠ABC + ∠ABk = 70° + 90°

∠CBk = 160°

Hence we can say that the measure of angle B will be 160°.

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Step-by-step explanation:

aₙ = 2 (¼)ⁿ⁻¹

a₃ = 2 (¼)³⁻¹

a₃ = 2 (¼)²

a₃ = ⅛

Answer:

1/8 inches

Step-by-step explanation:

Using the given function

d(n) = 2(1/4)^(n-1)

the initial value is 2, which is the height of the ball after the first roll.

For the third roll, n = 3

d(n) = 2 (1/4)^(3-1)

d(n) = 2 (1/4)^2

d(n) = 2/16

d(n) = 1/8

Answer:

Step-by-step explanation:

1.

[tex]Hypotenuse = 32\\Adjacent = 25\\Angle\:\alpha \:=?\\Using \: SOHCAHTOA ;\\Cos \:\alpha = \frac{adj}{hyp} \\Cos \:\alpha = \frac{25}{32}\\\\\alpha = Cos^-^1\frac{25}{32} \\\alpha =38.62\\\\\alpha = 39[/tex]

2.

[tex]Opposite = 8\\Adjacent = 16\\\alpha =?\\Using SOHCAHTOA\\Tan\:\alpha = \frac{opp}{adj} \\Tan\:\alpha = \frac{8}{16} \\Tan \:\alpha =1/2\\\alpha = Tan^-^11/2\\\\\alpha =26.56\\\alpha =27[/tex]

3.

[tex]Hypotenuse = 41\\Opposite = 19\\\alpha = ?\\Using\: SOHCAHTOA\\Sin\:\alpha = \frac{opp}{hyp} \\Sin \:\alpha =\frac{19}{41}\\\\\alpha =Sin^-^1 (19/41)\\\\\alpha =27.6\\ \alpha =28[/tex]

Answer:

Approximately 9 units.

Step-by-step explanation:

To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.

[tex]d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9[/tex]

Answer: In zhi's equation, the 18 is the initial amount of tickets, and the 3g means 3 times the amount of games.  

Diegos equation is the same, but write in factorised form. The 3 multiplies with the 6 to create 18, and the 3 multiple with the g to create 3g

Answer:

the inverse of the function f^-1(x)=(x-3)/(4+5x)

Step-by-step explanation:

( 3+4x)/(1-5x)

y=4x+3/1-5x swap the variables

x=4y+3/1-5y solve for y

y=x-3/4+5x

The inverse of a function is :y=x-3/4+5x

What is inverse of a function?

The inverse function returns the original value for which a function gave the output.

If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x. A function that consists of its inverse fetches the original value.

Steps are:

for example:

Suppose, f(x) = 2x + 3 is a function.

Let f(x) = 2x+3 = y

y = 2x+3

x = (y-3)/2 = f-1(y)

This is the inverse of f(x).

Given function:

f(x)= ( 3+4x)/(1-5x)

now, swap the variables x and y.

y=4x+3/1-5x

Now solving for y

x=4y+3/1-5y

y=x-3/4+5x

Hence, the inverse of the function f^-1(x)=(x-3)/(4+5x).

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Answer:

La expresión algebraica que representa el perímetro del rectángulo es:

perímetro = 4x + 16

Step-by-step explanation:

La formula del perímetro de un rectángulo es:

p = 2(ancho + largo)

Entonces:

b = x + 8         primer ecuación

p = 2(x+b)       segunda ecuación

x = longitud del ancho del rectángulo

b = longitud del largo del rectángulo

por tanto:

sustituyendo el valor de la primer ecuación en la segunda ecuación:

p = 2(x + (x+8))

p = 2(2x + 8)

p = 4x + 16

Usando conceptos de rectángulo, se encuentra que el perímetro está dado por:

[tex]P = 4x + 16[/tex]

El perímetro de un rectangulo de ancho a y largo l es dado por:

[tex]P = 2(l + a)[/tex]

En este problema, el ancho es de x metros, o sea, [tex]l = x[/tex], enquanto el largo 8 metros mayor que su ancho, o sea, [tex]l = x + 8[/tex]

Por eso, el perímetro es dado por:

[tex]P = 2(l + a)[/tex]

[tex]P = 2(x + x + 8)[/tex]

[tex]P = 2(2x + 8)[/tex]

[tex]P = 4x + 16[/tex]

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Answer:

The lenght of the tree sides of the triangle are:

first side: 21 inches

second side: 19 inches

third side: 33 inches

Step-by-step explanation:

a + b + c = 73

b = a - 2

c = a + 12

a = leght of the first side of the triangle

b = lenght of the second side of the triangle

c = lenght of the third side of the triangle

then:

a + (a-2) + (a+12) = 73

3a - 2 + 12 = 73

3a + 10 = 73

3a = 73 - 10

3a = 63

a = 63/3

a = 21 inches

b = a - 2

b = 21 - 2

b = 19 inches

c = a + 12

c = 21 + 12

c = 33 inches

Check:

21 + 19 + 33 = 73

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The length of the sides of the triangle are:

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the sides of triangles be x, y, z.

As, perimeter of the triangle is 73 inches.

x+ y+ z= 73................(1)

and, length of the second side of a triangle is 2 inches less than the length of the first side.

y= x- 2

and,  length of the third side is 12 inches more than the length of the first side.

z= x + 12

Substitute the values of y  and z in equation (1)

x+ x-2 + x+ 12= 73

3x + 10 =73

3x= 63

x= 21

Then, First side= 21 inch

second side = 21 - 2 = 19 inch

third side= 21+ 12 = 33 inch

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Answer:

s = 11.4

Step-by-step explanation:

The following data were obtained from the question:

Angle S = 60°

Opposite S = s =?

Opposite U = u = 13

Opposite T = t = 5

Thus, from the data obtained from the question, we can calculate the value of s by using cosine rule as shown below:

s² = u² + t² – 2ut Cos S

s² = 13² + 5² – 2 × 13 × 5 × Cos 60

s² = 169 + 25 – 130 × 0.5

s² = 194 – 65

s² = 129

Take the square root of both side.

s = √129

s = 11.4

Therefore, the value of s is 11.4

4(x - 2 + y)

= 4x - 8 + 8y

= 4x + 8y - 8

Happy to help!

Answer:

4x-8+4y

Step-by-step explanation:

When you distribute the 4, it becomes 4x-8+4y, and this statement is equivalent to 4(x-2+y)

Answer:

4/3

Step-by-step explanation:

The common ratio is the number you multiply by 3 to get 4. This would be 4/3.

Answer:

4/3

Step-by-step explanation:

Well let's work backwards.

3 * what = 4

To figure out "what" we do,

4 ÷ 3

= 1.3333333333

As a fraction it is 4/3.

Thus,

the common ratio is 4/3.

Hope this helps :)

Answer:

13

Step-by-step explanation:

The GCF of 36, 48, and 72 is 12 so there will be 36 / 12 = 3 stacks of English books, 48 / 12 = 4 stacks of science books and 72 / 12 = 6 stacks of math books for a total of 3 + 4 + 6 = 13 stacks.

Answer:

235

Step-by-step explanation:

Answer:

A is the correct answer

Yes, 50% is within the bounds of the interval

Step-by-step explanation:

Here, we want to know if the interval support that a majority of the voters favored the mileage increase.

Our correct selected answer is yes.

To be able to select that out of all the options, we must look at the interval of the proportion of the voters that support the mileage. The proportion is noticeable from the question and we can see that within the given interval, we have 50% of the proportion lying within it.

Since we have 50% lying within our interval, then we can confidently confirm at 90% confidence interval for p that the interval support that a majority of voters favored a mileage increase

the answer is (A) you cant have 11 it should be 1.1 x 10^22

Answer:

48

Step-by-step explanation:

We have that the volume of a cylinder is given by:

 V = pi * (r ^ 2) * h

In this case we know the diameter, we know that the radius is half the diameter like this:

r = d / 2

r = 8/2

r = 4

Now we know that the V equals 768 pi

we replace and we have:

768 * pi = pi * (4 ^ 2) * h

768 = 16 * h

h = 768/16

h = 48

Therefore the value of x would be 48 cm

Answer:

Option A is the correct option

Step-by-step explanation:

[tex]5x = 35[/tex]

Divide both sides of the equation by 5

[tex] \frac{5x}{5} = \frac{35}{5} [/tex]

Calculate

[tex]x = 7[/tex]

Hope this helps...

Best regards!!

Answer:

Option A

Step-by-step explanation:

5x = 35

5x/5 = 35/5

x = 7

Answer:

rhombus and square

Answer:

Rhombus and square

Step-by-step explanation:

The quadrilaterals that satisfy this condition are rhombi and squares.

Answer:

[tex]\large \boxed{\sf \ \ \ p=-11 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

[tex]\alpha \text{ and } \beta \text{ are the roots of the following equation}[/tex]

   [tex]2x^2+6x-7=p[/tex]

It means that

   [tex]2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\[/tex]

And we know that

[tex]\alpha= 2\cdot \beta[/tex]

So we got two equations

   [tex]2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\<=>8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\<=>6\beta^2+6\beta =0\\\\<=>\beta(\beta+1)=0\\\\<=> \beta =0 \ or \ \beta=-1[/tex]

For [tex]\beta =0, \ \ \alpha =0, \ \ p = -7[/tex]

For [tex]\beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11[/tex]

I assume that we are after two different roots so the solution for p is p=-11

b) [tex]\alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1[/tex]

So a quadratic equation with the expected roots  is

[tex]x(x-1)=x^2-x[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

See the answer in attachment

Answer:

(x-2)(x+1)(x+1)

Step-by-step explanation:

x³-3x-2=

(x-2)(x+1)(x+1)