if the area of square 3 is 80 cm squared in the area of square 2 is 100 cm squared what is the area of square one

Answer:

Step-by-step explanation:

(2x + 7)(x + 1)

answer is A

The sine equation for the object's height is given as follows:

d = -5sin(0.24t).

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The amplitude for this problem is of 5 inches, hence:

A = 5.

The period is of 1.5 seconds, hence the coefficient B is given as follows:

2π/B = 1.5

B = 1.5/2π

B = 0.24.

The function starts moving down, hence it is negative, so:

d = -5sin(0.24t).

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Answer:

5 √ 10 + 2 √ 5 ft high

Step-by-step explanation:Explanation:

Let  h be the height to which latter of length of 20 ft reach then using Sine formula in right triangle with hypotenuse 20 & vertical leg h & opposite acute angle 0 = 72∘ sin θ =h 20 sin 72∘= h 20

h

=

20

sin

(

90

∘

−

18

∘

)

=

20

cos

18

∘

=

20

(

√

10

+

2

√

5

4

)

=

5

√

10

+

2

√

5

Answer:

First, determine the first, second, and third quartiles of the given box plot.

Next, determine the first, second, and third quartiles of the given sets to find a match.

Consider the given set below.

Shoe Sizes: 7, 8, 8, 9, 10, 11, 11, 12

Determine the second quartile (median of the set).

7, 8, 8, 9, 10 , 11, 11, 12

Determine the first quartile (median of the lower half).

7, 8, 8, 9, 10, 11, 11, 12

Determine the third quartile (median of the upper half).

7, 8, 8, 9, 10, 11, 11 , 12

Thus, the following set matches the given box plot.

Shoe Size: 7, 8, 8, 9, 10, 11, 11, 12

Step-by-step explanation:

i hoped i helped  :)

Answer:

Step-by-step explanation:

d = 13.416408

For:

(X1, Y1) = (-4, -5)

(X2, Y2) = (8, 1)

Answer:

L = 9.49 units

Step-by-step explanation:

From the 1st point to the 2nd, x changes by 12; from the 1st to the 2nd, y changes (increases) by 6.  These results (12 and 6) represent the leg length of a right triangle whose diagonal length we wish to calculate using the Pythagorean Theorem:

12^2 = 144 and 6^2 = 36.

Combining these results in the length of the diagonal:

L = √(144 + 36) = √180 = 13.42 units using the Pythagorean Theorem

Rounding off, we get L = 9.49 units

Answer:

Early math is just as important as early literacy; in fact, it can improve reading and writing skills. Kids who start with numerical skills even in infancy will do better with math when they reach school.

To solve this equation, we can start by solve for the absolute value part, the |x - 3|:

Now, we have to consider two possibilities:

If the first one is true, then the absolute value function won't change the part inside it, so we can just remove the vertical bars.

If the second one is true, then the absolute value function will change the sign of the part that is inside it, so we can change the sign of the part inside and then remove the vertical bars.

So, we have:

And:

So, the solutions for the given equation are:

The height of Trevor's sandcastle is 3/10 foot taller than his sister's.

Given that, Trevor's sandcastle was 1/2 of a foot tall and his sister's was 1/5 of a foot tall.

Difference in the height of sandcastles = 1/2 - 1/5

= 5/10 - 2/10

= (5-2)/10

= 3/10

So, the difference in heights = 3/10 foot

Therefore, the height of Trevor's sandcastle is 3/10 foot taller than his sister's.

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Answer:

A. \(f(x) = -3(x +2)^2-2\)

Step-by-step explanation:

There is a -3 being multiplied, making the function on the graph narrower from the original. The -3 also makes the function flip over the x-axis, since it's negative. There is also a 2 being added in (x + 2), meaning that it shifts left by 2 units. There is a -2, meaning that the function shifts 2 units down the graph.

Based on the information that applies to this function, this is the only function that represents f(x) on the graph given.

Answer:

C. 3x+30

Step-by-step explanation:

5(2x+6)-7x can be rewritten as

10x+30-7x which can be simplified as

3x+30

Answer:

5

Step-by-step explanation:

You need to find how many days Stefan can feed Coco with the oats he has left. But first, you need to know how many cups of oats Stefan has left after making granola bars.

Stefan has 4

1

2

cups of oats, and he uses 3

1

4

cups to make granola bars.

Start by writing 4

1

2

with a denominator of 4. Then both fractions will have the same denominator.

4

1

2

=4

2

4

Subtract. Remember to subtract whole numbers from whole numbers and fractions from fractions.

4

2

4

–3

1

4

=1

1

4

Stefan has 1

1  

4

cups of oats left.

Answer:

y = 19.2

Step-by-step explanation:

We know there is relationship between y and x, so according to the formula \(y = kx\)

k = 12/5

we get one function y = 2.4x

when x = 8, input it into the function,

y = 2.4×8 = 19.2

Answer:

40π

Step-by-step explanation:

∅ = 360 - 135 = 225

a = (∅/360) * π * r²

a = (225/360) * π * 8²

a = 40π

The Bernoulli differential equation is a nonlinear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)y^n, where n ≠ 0, 1.

For n = 0 or n = 1, the equation is linear. For other values of n, a common technique to linearize the equation is to make the substitution y = v^(-1/n-1). The resulting equation is:

dv/dx + (P(x) + Q(x)/v^(1/n-1)) * (1/n-1) * v^(1/n-2) * dv/dx = 0.

For the initial value problem given, we have P(x) = -1/x, Q(x) = -5, and n = 2.

We make the substitution y = v^(-1), so v = y^(-1), and dv/dx = -y^(-2)dy/dx. The equation becomes:

-y^(-2)dy/dx + (-1/x - 5y^2) = 0.

We have the initial condition y(1) = 1/5. In terms of v, the initial condition becomes v(1) = 1/(1/5)^2 = 25.

Now, the differential equation is linear, and we can solve it using standard methods, such as separation of variables. To find the solution that satisfies the initial condition, we may use numerical methods such as the Euler method or Runge-Kutta method.

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Total volume = 11.664 cm³

The side length of the cube, l = 1.8 cm

Volume of a cube, V = l³

V = 1.8³

V = 5.832 cm³

Since the restaurant used two sugar cubes:

Total volume = 2 x 5.832

Total volume = 11.664 cm³

Answer:

3 nights

Step-by-step explanation:

If it took her 2 nights just to do 6 which means 3 the first night and 3 the 2nd night so she would do 3 another night and that would equal 9.

Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

Answer:he's 100% right

Step-by-step explanation:

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

A = -6 and B = 65

From the question, we are to express the given expression in the form (x + A)^2+B by completing the square

The given expression is

x² -12x + 101

Using the completing the square method

x² -12x + 101

Divide the coefficient of x by 2 and then square it

The coefficient of x is -12

Dividing by 2, we get

-12/2 = -6

Squaring

(-6)²

Now, add and subtract this value from the expression

x² -12x + (-6)² + 101 - (-6)²

Then, we can write that

(x - 6)² + 101 - (-6)²

(x - 6)² + 101 - 36

(x - 6)² + 65

Thus,

The given expression expressed in the form (x+A)^2+B is (x - 6)² + 65

By comparison,

A = -6

and

B = 65

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The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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Considering the given proportion, the value of \(\frac{a}{a - b}\) is:

C) 2

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportion between a and b is given by:

a/b = 2.

Then:

a = 2b.

The expression is:

\(\frac{a}{a - b} = \frac{2b}{2b - b} = \frac{2b}{b} = 2\)

Hence option C is correct.

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Answer:

20

Step-by-step explanation:

The factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. You can see that they have some of the same factors, but the greatest they share is 20

The greatest common factor of 80 and 20 is 20.

In Mathematics, factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors simply refers to numbers which can be multiplied together to get another number.

The factors of 20 include the following: 1, 2, 4, 5, 10, and 20.

The factors of 80 include the following: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

By critically observing the factors above, we can logically deduce that the greatest common factor of 80 and 20 is equal to 20.

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Answer:

the answer is B

Step-by-step explanation:

A^2+B^2=C^2

Answer:

B.

Step-by-step explanation:

The equation is correct.