Please help me as soon as possible! :)

1 1/8 + b ≥ 7/16

To solve for 1/x(x-3) = 2/(x-3) + 3/x, we can simplify and rearrange the terms on the right side:

1/x(x-3) = 2/(x-3) + 3/x

Multiplying both sides by x(x-3):

1 = 2x + 3x(x-3)/x

Expanding the right side:

1 = 2x + 3x^2 - 9x/x

Cancelling x from the right side:

1 = 2x + 3x^2 - 9

Dividing both sides by x^2:

1/x^2 = 2/x + 3 - 9/x^2

Rearranging the terms:

1/x^2 - 9/x^2 = 2/x + 3

Isolating the x terms:

-8/x^2 = 2/x + 3

Multiplying both sides by x^2:

-8 = 2x + 3x^2

Expanding the right side:

-8 = 2x + 3x^2

Rearranging the terms:

3x^2 + 2x + 8 = 0

This is a quadratic equation and can be solved using the quadratic formula or factoring. The solutions are the values of x that make the equation equal to zero.

Answer:

61%

Step-by-step explanation:

First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.

Answer:

x≤20

Step-by-step explanation:

x+5≤25

 -5.  -5

x≤20

Hopes this helps please mark brainliest

Answer:

The answer is B

Step-by-step explanation:

20+5=25 and x can be greater than or equal to 25

Answer:

B

Step-by-step explanation:

30-3.12=26.88 divide that by 4 and you get 6.72

Answer:

The Answer is B, $6.72

Step-by-step explanation:

30-3.12= 26.88

26.88÷ 4= 6.72

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ1

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

Learn more about frequency table at https://brainly.com/question/27820465

#SPJ1

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

for such more question on volume

https://brainly.com/question/6204273

#SPJ8

Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

Learn more on simultaneous equations:https://brainly.com/question/148035

#SPJ1

Derivative of function is 5(2x + 4) * (x² + 4x + 6)⁴.

What is differentiation?

In arithmetic, the derivative of a function of a true variable measures the sensitivity modification of the perform price with relation to a change in its argument. Derivatives are a elementary tool of calculus.

Main body:

by using product rule;

Let = u = x² + 4x + 6

⇒ du/dx = 2x + 4 .

Now y = u⁵

⇒ dy/dx = 5u⁴ .

dy/dx = dy/dx * du/dx = 5u⁴ * (2x + 4)

= 5 * (x² + 4x + 6)⁴ * (2x + 4)

= 5(2x + 4) * (x² + 4x + 6)⁴

hence , derivative of function is 5(2x + 4) * (x² + 4x + 6)⁴.

to know more about derivative , visit:

https://brainly.com/question/23819325

#SPJ1

Answer:

16.86 ft/s

Step-by-step explanation:

Given that,

Angular speed of a carousel, \(\omega=14\ rev/min\)

The diameter of the carousel, d = 23 feet

We need to find the speed of the carousel and jump on.

\(\omega=14\ rev/min=1.46\ rad/s\)

Radius, r = 11.5 feet

Let v is the velocity. So,

\(v=r\omega\\\\=11.5\times 1.46\\\\=16.79\ ft/s\)

Hernce, the correct option is (d) "16.86 ft/s"

we conclude that 900 cubes enter in the given box.

We need to find the volumes of both figures.

The blocks are cubes of 2cm by 2cm by 2cm, then the volume of each block is:

\(V = (2cm)^3 = 8cm^3\)

The box has dimensions of 10cm by 12cm by 60cm, then the volume is:

\(V = 10cm*12cm*60cm = 7,200 cm^3\)

The number of cubes that enter in the box is N such that:

\(N*8cm^3 = 7,200cm^3\)

Solving for N, we get:

\(N = 7200cm^3/8cm^3 = 900\)

In this way, we conclude that 900 cubes enter in the given box.

If you want to learn more about volumes:

https://brainly.com/question/1972490

#SPJ1

Answer:

6

Step-by-step explanation:

2x + 3 = 15

     - 3    -3

__________

2x = 12

_______

2        2

That cancels out 2x so x = 6

Answer:

The answer to this equation would be B. 6!

Step-by-step explanation:

Check Answer:

2(6) + 3 = 15

2x6 =12

12 + 3 =15

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

Answer:

9.5

Step-by-step explanation:

I did it

sorry if its wrong

Answer:

-3+t

-3+t

-3 (times) 3

Step-by-step explanation:

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

Answer:

Part A: $3,415.50

B: 11.34%

Step-by-step explanation:

Part A: $31,000 is within the values 10,276≤x≤41,175, so use f(x)=0.12x-205.50

Part B: For the effective tax rate, divide the amount in part A by the taxable income

Part C: Compare both the taxable income and the effective tax rate to the income domains given and the % multiplier. This one is mostly about how you describe the situation, so I'll leave that up to you.

To calculate the taxes owed on a taxable income of $31,000, we use the appropriate equation for the tax bracket it falls into and substitute the value of x. The effective tax rate is calculated by dividing the amount of taxes owed by the taxable income and multiplying by 100. The piecewise function represents the marginal tax rate chart by using different equations for each tax bracket.

Part A:

To calculate the amount of taxes owed on a taxable income of $31,000, we need to determine which tax bracket it falls into. Since $31,000 is greater than $10,275 but less than $41,175, it falls into tax bracket 2. To find the amount of taxes owed, we use the equation for tax bracket 2: f(x) = 0.12x - 205.50. Plugging in $31,000 for x, we get:

f(x) = 0.12 * 31000 - 205.50 = $3,574.50

Therefore, the amount of taxes owed on a taxable income of $31,000 is $3,574.50.

Part B:

To determine the effective tax rate, we divide the amount of taxes owed by the taxable income. Using the result from Part A (taxes owed = $3,574.50) and the taxable income of $31,000, we have:

Effective tax rate = (taxes owed / taxable income) * 100 = (3,574.50 / 31,000) * 100 ≈ 11.52%

Therefore, the effective tax rate on a taxable income of $31,000 is approximately 11.52%.

Part C:

The piecewise function represents the amount of taxes owed as a function of the taxable income. Each part of the function corresponds to a different tax bracket, with the equation for that tax bracket. The marginal tax rate chart is represented in the piecewise function by the different equations for each tax bracket. For example, the equation in part 1 of the function (f(x) = 0.10x) corresponds to the 10% marginal tax rate for the tax bracket $0-$10,275.

Learn more about Taxes Calculations here:

https://brainly.com/question/16200743

#SPJ2

The total payment required to pay off a promissory note issued for $400.00 is $412.

Using this formula

Total payment=Promissory note+(Promissory note× Ordinary interest× 90 day term/360)

Where:

Promissory note=$400

Ordinary interest=12%

Let plug in the formula

Total payment= $400 + ($400 × 12% × 90 days ÷ 360 days)

Total payment= $400 + $12

Total payment= $412

Hence, the total payment required to pay off a promissory note issued for $400.00 is $412.

Learn more about promissory note here:

brainly.com/question/948552

#SPJ1

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

The solution of the trigonometric equation  are, \(x=\frac{\pi}{2},\frac{3\pi}{2}\)

Given equation are,

           \(cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\)

We know that,  \(cos(A-B)=cosA cosB+sinAsinB\)

         \(cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}\)

Hence, The solution of the trigonometric equation  are, \(x=\frac{\pi}{2},\frac{3\pi}{2}\)

Learn more about the trigonometric equation here :

https://brainly.com/question/14421002

Answer: 0.1 or 1/10

Step-by-step explanation:

\(\left(\frac{3}{4}-\frac{2}{3}\right)\cdot \:1\frac{1}{5}\)

\(1\frac{1}{5}=\frac{6}{5}\)

\(\left(\frac{3}{4}-\frac{2}{3}\right)\cdot \frac{6}{5}\)

  \(\frac{3}{4}-\frac{2}{3}\)    \(=\frac{9}{12}-\frac{8}{12}\)

\(=\frac{1}{12}\)

\(\frac{6}{5}\cdot \frac{1}{12}\)

Cross, cancel common factor

\(\frac{1}{2}\cdot \frac{1}{5}\)

\(=\frac{1}{10}\)

it is not possible for the scale factor to have been a fraction

When a scale factpor is less than one in a dilation, a reduction is iad to occur

When a scale factor is greater than one in a dilation, an enlargement occur

In this case, the image is larger than the pre-image. The pre-image is the the original diagram while the image is the new diagram.

There is an increament in size of the diagram as the image is larger than the pre-image

From the above, an increse means greater than 1. As a result, it is not possible for the scale factor to have been a fraction

Answer:

45mm

Step-by-step explanation:

First, find the whole area of the square, which is 225 mm squared.

Then, we have to find the area of the shaded trapezoid. Remember, the area of the trapezoid is \(\frac{h(b^{1}+b^{2} }{2}\)

We get the area of the trapezoid to be 180 mm.

We subtract 180 from 225 mm to get 45 mm as our answer.

The required answer for 1/3 of x is 14 is x = 42.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now the given equation is,

1/3 of x is 14

Thus converting it into numerical expression.

So we have,

1/3 of x = 1/3 * x= x/3

Thus is equal to 14

Thus, the equation we get is,

x/3 = 14

To solve the above isolate x on one side and other terms to another.

Thus multiplying whole equation by 3 we get,

3*x/3 = 14*3

Simplifying we get,

x = 42

This is the required answer for the given expression.

Thus, the required answer for 1/3 of x is 14 is x = 42.

To learn more about equations :

https://brainly.com/question/13482978

#SPJ1

Answer:

12 is ten percent of 120

Step-by-step explanation:

The value of x is 12.0

Since

We know that

Cos = Adjacent/Hypotenuse

So,

cos(24°) = 11/x

Now here we multiply the equation so that the value of x could come

So,

x = 11/cos(24°)

≈ 12.0

hence, we can conclude that The value of x is 12.0

Learn more about equation here: https://brainly.com/question/19006235

Answer:

The value of x is 12.0 to the nearest tenth.

Step-by-step explanation:

To find the value of x, use the cosine trigonometric ratio.

\(\boxed{\begin{minipage}{9 cm}\underline{Cos trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

From inspection of the given right triangle:

Substitute the values into the cosine trigonometric ratio and solve for x:

\(\implies \cos 24^{\circ}=\dfrac{11}{x}\)

\(\implies x=\dfrac{11}{\cos 24^{\circ}}\)

\(\implies x=12.0409990...\)

Therefore, the value of x is 12.0 to the nearest tenth.

Given the following:

7 blue marbles

2 green marbles

1 red marbles

We to find the probability of not drawing a blue marble.

We will be solving it in two ways.

First let's get the total marbles

Total Marble = 7 + 2 + 1 = 10

recall that probablity is number of favourable outcome divide by number of total outcome.

So,

probablity of Drawing a Blue Marble is = 7/10

probability of not Drawing Blue Marbles = 1 - Probability of Drawing Blue Marbles

= 1 - 7/10

= 10 - 7

10

= 3/10

OR

Probability of not Drawing Blue Marbles = Probablity of drawing Green or Red Marbles.

= 2/10 + 1/10

= 3/10

Therefore, the probability of not Drawing Blue Marbles is 3/10.

Answer:

10 bars

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

10/7÷1/14

Applying the fractions formula for division,

=10×14/ 7×1

=140/7

Simplifying 140/7, the answer is

=20

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

\(\large\text{Hey there!}\)

\(\mathsf{m - 5\times n +2}\\\mathsf{= 34 - 5 \times 5+2}\\\mathsf{= 34 - \bold{25} + 2}\\\mathsf{= \bold{9} + 2}\\\mathsf{= \bf 11}\\\\\large\text{Therefore, your answer is:\huge \boxed{\textsf{Option D. 11 }}}\huge\checkmark\)

\(\large\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}\)