Work out an estimate for 31 times 9.87 over 0.509

Gavin's number is 68.6

Equation: 1/2(x) = 34.3

Use inverse operations on both sides.

1/2(x) = 1x or x = 34.3(2)

34.3(2) = 68.6

Thus, x equals 68.6

Gavin's number is 68.6.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life

here, we have,

Gavin halves the number and gets an answer of 34.3.

now, we get,

Equation: 1/2(x) = 34.3

Use inverse operations on both sides.

1/2(x) = 1x

or x = 34.3(2)

i.e. 34.3(2) = 68.6

Thus, x equals 68.6.

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Answer:

a

Step-by-step explanation:

[tex](5^{2} ) * (5^{9}) = 5^{2 + 9} = 5^{11}[/tex]

Answer:

A. 5^11

Step-by-step explanation:

(5^2)(5^9)

=5^2*5^9

=(5*5)*(5*5*5*5*5*5*5*5*5)

=5*5*5*5*5*5*5*5*5*5*5

=5^11

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Answer:

x=11  solution is not extraneous

Step-by-step explanation:

sqrt( x-5) +7 = 11

Subtract 7 from each side

sqrt( x-5) +7-7 = 11-7

sqrt(x-5) = 4

Square each side

(sqrt(x-5))^2 = 4^2

x-5 = 16

Add 5 to each side

x-5+5 = 16+5

x = 21

Check

sqrt( 21-5) +7 = 11

sqrt(16) +7 =11

4+7 =11

11=11

Valid solution

Answer:

B)  x = 21, solution is not extraneous

Step-by-step explanation:

√(x - 5) + 7 = 11

(√(x - 5) + 7) - 7 = 11 - 7

√(x - 5) = 4

(√(x - 5))² = (4)²

x - 5 = 16

(x - 5) + 5 = 16 + 5

x = 21

The solution is not extraneous.  An extraneous solution is a solution that is not included in the domain.  For this equation the domain would be [-5, ∞).  The solution found is included in the domain

Step-by-step explanation:

1 business = 736800 ÷ 9 = 81866.66

Each business associates 81866.66

Answer: (0,-9)

Step-by-step explanation:

(0,-9) is the y-intercept because it is the point at which the function crosses the y-axis.

Answer:

[tex]sin^2(\pi/4)+cos^2(\pi/4)=1[/tex]

Step-by-step explanation:

Notice that you don't need to evaluate the actual sin and cos functions, since you are in the presence of a well known Pythagorean identity that states that this type of addition of squares for the same angle should equal 1:

[tex]sin^2(x)+cos^2(x)=1[/tex]

So, as long as the angle "x" is the same in both trig functions, this addition should render "1" (one).

Because in this case the angle involved is the same (in both cases pi/4), the identity is valid.

Answer:

The answer should be 210 unit cubes.

Step-by-step explanation:

The volume of a rectangular prism is given by the following expression:

[tex]volume = length*width*height[/tex]

In words, it is the product of its edge lengths. If the prism was packed with 210 unit cubes, then this must be equal to its volume, so by multiplying the edge lengths the result should be equal to 210 unit cubes.

Answer:

[tex](B)\dfrac{3}{4}c \\\\ (D)\dfrac{3c}{4}[/tex]

Step-by-step explanation:

Given the two terms: [tex]\dfrac{3}{4}$ and c[/tex]

[tex]T$he product of \dfrac{3}{4}$ and c =\dfrac{3}{4}$ X c\\=\dfrac{3}{4}c\\$We can also write it alternately as:\\\dfrac{3c}{4}[/tex]

The correct options are: B and D.

Answer:

C

Step-by-step explanation:

This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as   [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

A quadratic equation is generally shown in the form of [tex]ax^{2} +bx + c = 0[/tex]

For example, if you saw the equation  [tex]7x^{2} + 3x + 20 = 0[/tex]

7 would be [tex]a[/tex], 3 would be [tex]b[/tex], and 20 would be [tex]c[/tex].

To solve the equation above, you would fill in the quadratic formula as such, [tex]x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}[/tex]

Then you could solve for x.

2. What part in the Quadratic Formula is the discriminant?

The discriminant is the equation under the square root on the quadratic formula, [tex]b^{2} - 4ac[/tex]

It is tells us whether there are two solutions, one solutions, or no solutions.

3.  How do you know the number of solutions based on the value of the discriminant?

To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, [tex]7x^{2} + 3x + 20 = 0[/tex]

We will plug the values into the discriminant.

[tex]3^{2} - 4(7)(20) = -551[/tex]

Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.

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Answer:

945

Step-by-step explanation:

10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50 + 55 + 60 + 65 + 70 + 75 + 80 + 85 + 90 + 95 = 945

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Hope this helps!

Answer:

B'(6,-3)

Step-by-step explanation:

Answer:

its B on edgenuity

Step-by-step explanation:

Answer:

1414

Step-by-step explanation:

Multiply 54 by 14, and 47 by 14. That is 756 and 658. Add them together to get the answer.

Answer:

8(x-9)(x-3)

Step-by-step explanation:

First expand the expression:

4(2x-6) x 3(x-3) = (8x-24) x (x-9)

Now use distribution method top multiply the 2 brackets:

8x^2 - 72x - 24x + 216

simplify:

8x^2 - 96x +216.

You can factorize this:

8(x-9)(x-3)

Hope this helps

Good Luck

Answer:

Step-by-step explanation:

Answer:

Subtract -7x from both sides

Step-by-step explanation:

You want to isolate the y term on one side of the equation

Answer:

The answer is option 2.

Step-by-step explanation:

The first step to solve for y, you have to subtract 7x on both sides in order to make y as a subject :

[tex]7x - 10y = 30[/tex]

[tex]7x - 10y - 7x = 30 - 7x[/tex]

[tex] - 10y = 10 - 7x[/tex]

Answer:

(6, 9) (9, 13.5) (10, 15) and k = 1.5

Step-by-step explanation:

We can plug the given points into the equation y = kx

3 = k(2)

1.5 = k (constant of proportionality)

Then, we can use this to complete the other pints.

y = 1.5(6)

y=9, so (6, 9)

13.5 = 1.5(x)

9 = x, so (9, 13.5)

If we follow the pattern, the last point should be (10, 15)

Answer:

Step-by-step explanation:

The only valid expression from the given list is the one that uses the arctangent ([tex]tan^{-1}(0.75)[/tex] ) function.

Recall that the tangent of an acute angle in a right angle triangle is defined as:

[tex]tan(B)=\frac{opposite}{adjacent}[/tex]

therefore in our case we have:

[tex]tan(B)=\frac{opposite}{adjacent} \\tan(B) = \frac{12}{16} \\tan(B)=0.75\\B=arctan(0.75)[/tex]

Answer:

7/8 aren't in the school band

Answer:

∈

Step-by-step explanation:

∈ symbol indicates the data set on the left side is fully included in the data set on the right side

Answer:

The answer is "728 routes"

Step-by-step explanation:

The number of ways to proceed from (0, 0) to (5, 7) is as follows:

[tex]\Rightarrow \frac{(7+5)!} {(7! \times 5!)} \\\\ \Rightarrow \frac{12!}{(7! \times 5! )}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{7! \times 5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5\times 4 \times 3 \times 2 \times 1}\\\\\Rightarrow \frac{ 11 \times 9 \times 8}{1}\\\\\Rightarrow 11 \times 9 \times 8\\\\\Rightarrow 11 \times 72\\\\\Rightarrow 792[/tex]

We would like to delete the ways of (0, 0) to (2, 3)  That's the resolution:

[tex]\Rightarrow \frac{(3+2)!}{(3!\times2!)} \\\\ \Rightarrow \frac{5!}{(3!\times2!)} \\\\\Rightarrow \frac{5\times 4\times 3! }{(3!\times2 \times 1)} \\\\\Rightarrow \frac{5\times 4}{(2 \times 1)} \\\\\Rightarrow \frac{5\times 2}{1} \\\\\Rightarrow 10 \ ways[/tex]

[tex]So, \\\\ \Rightarrow 792 -10 \\\\ \Rightarrow 782 \ routes[/tex]

Answer:

Step-by-step explanation:

The question is not properly structured. Here is the complete question.

For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.

The formula for calculating the volume of a cone is expressed as shown;

[tex]V = \frac{1}{3} \pi r^{2} h[/tex] where r is the radius and h is the height.

Given radius r = 6units, on substituting;

[tex]V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)[/tex]

It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.

Generally for a direct variation

[tex]if\ y\ \alpha x \ \\y = kx[/tex]

where k is the constant of proportionality. comparing to equation 1, k = 12π.

Find the graph attached

Answer:

y = (-8)/9

Step-by-step explanation:

Solve for y:

14 - 9 y = 22

Subtract 14 from both sides:

(14 - 14) - 9 y = 22 - 14

14 - 14 = 0:

-9 y = 22 - 14

22 - 14 = 8:

-9 y = 8

Divide both sides of -9 y = 8 by -9:

(-9 y)/(-9) = 8/(-9)

(-9)/(-9) = 1:

y = 8/(-9)

Multiply numerator and denominator of 8/(-9) by -1:

Answer: y = (-8)/9

Answer:

-8/9

Step-by-step explanation:

2 x − 9 y = 22

x=7

Answer:

61%

Step-by-step explanation:

Area of square:

=a²

=12²

=144

Area of two quarter circles:

=2(¼×π×r²)

=2(¼×π×6²)

=2×28.72

=56.55

Finding the percentage:

=(56. 55÷144)×100

=0.3937×100

=39.27

subtract 100% by 39.27% to find the percentage of how much is shaded

=100-39.27

=60.73

=61 (rounded off to the nearest whole percent)

Answer:

5/3

Step-by-step explanation:

multiply the whole thing by y to get 3y/x=5 and then divide by 3 to get y/x=5/3

Answer:

y/x=5/3

Step-by-step explanation:

3/x=5/y ⇒ y/x=5/3  replacing y with 3

Answer: i'd say c

Step-by-step explanation:

Answer: y=4

Step-by-step explanation:

9/4y-12=1/4y-4+12

+12. +12

9/4y=1/4y+8

-1/4y -1/4y

2y/2=8/2

y=4

Answer:

a

Step-by-step explanation:

the side x looks smaller than 8 m.

The only option smaller than 8 m is a, 5.2 m

Answer:

r = 5

Step-by-step explanation:

The n th term of a geometric sequence is

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

where a₁ is the first term and r is the common ratio

Here a₁ = 1 and a₅ = 625, thus

1 × [tex]r^{4}[/tex] = 625 , so

r = [tex]\sqrt[4]{625}[/tex] = 5

The common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a geometric sequence for which:

The first term a1 = 1

and fifth term:

a5 = 625

As we know, the geometric sequence follows a certain arithmetic rule of multiplication.

The nth term of the geometric sequence is:

a(n) = arⁿ⁻¹

a1 = a = 1

a5 = ar⁵⁻¹ = 625

Take the ratios:

a/ar⁵⁻¹ = 1/625

r is the common ratio.

1/r⁴ = 1/625

r⁴ = 625

r = 5

The common ratio is 5.

Thus, the common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.

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