What is 5/6 - 1/4 (please I tried to solve it but still got it wrong each time)

Answer:

Step-by-step explanation:

Remark

All you can really do is remove the brackets. Use FOIL

Solution

First: 3x*8x = 24^2

Outside: 2* 3x = 6x

Inside: -6*8x = - 48x

Last: -6*2 = - 12

Answer

24x^2 + 6x - 48x - 12

24x^2 - 42x - 12

Answer:

67.38°

Step-by-step explanation:

The diagonals of a rhombus intersect at their midpoints and make a right angle. They also divide the angles of the rhombus in two equal angles.

So, to find the acute angle of the rhombus, we can use the tangent relation of half this angle in the small triangle made when drawing the diagonals:

tan(angle/2) = 4 / 6

tan(angle/2) = 0.666

angle/2 = 33.69

angle = 67.38°

So the acute angle of the rhombus is 67.38 degrees.

Please check the image attached for better comprehension.

The missing angle in the triangle is as follows:

m∠ABC = 54 degrees

When lines segment intersect, angle relationships are formed such as vertically opposite angles,  adjacent angles etc.

Therefore, let's find m∠ABC.

Hence,

9x - 9 + 3x + 9 = 180 (sum of angles on a straight line)

12x  = 180

divide both sides of the equation by 12

x = 180 / 12

x = 15

Therefore,

m∠ABC = 3x + 9(Vertically opposite angles)

m∠ABC = 3(15) + 9

m∠ABC = 45 + 9

m∠ABC = 54 degrees

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The rate of compounding on the investment is 20%.

What is the rate of compounding?
When an amount compounds annually, it means that both the amount invested and the interest accrued increases in value once a year.

The formula that can be used to determine the rate of compounding is: (FV / PV)^(1 /n)

Where:

(216,000 / 125000)^ (1 / 3) - 1 = 20%

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Answer:

Step-by-step explanation:

0.04

All the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:

Percent counts the number compared to 100.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in decimal)

For this case, the percent we have is 4%

That shows that for each 100 items, we have 4 of them. This can be written in fraction as 4/100

Solving this division, we get the result in decimal as 0.04

Thus, all the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:

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a. For the given function {(0,4), (4,16), (8,64), (12,144)}, the domain is {0, 4, 8, 12} as it represents the x-values or inputs of the function. The range is {4, 16, 64, 144} as it represents the corresponding y-values or outputs of the function.

b. For the given function {(-2,3), (-1,3), (0,3), (1,3)}, the domain is {-2, -1, 0, 1} as it represents the x-values or inputs of the function. The range is {3} as all the corresponding y-values or outputs are the same.

c. For the given function {(2,2), (1,1/2), (0,0), (-1,1/2), (-2,2)}, the domain is {2, 1, 0, -1, -2} as it represents the x-values or inputs of the function. The range is {2, 1/2, 0} as it represents the corresponding y-values or outputs of the function.

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Answer:

hi

Step-by-step explanation:

omhg hi

The answer will be: 200/300 of scarves are blue. 200/300 also is equal to 2/3. The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

Reduce the fractions if they aren't already in the lowest terms. Then, all that is required is to multiply the denominator by the denominator and the numerator by the numerator. For instance, multiplying 2 by 7 yields the new numerator, which is 14, when multiplying 2/3 and 7/8. The result of multiplying 3 by 8 is 24.

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Answer:

64

Step-by-step explanation:

Number of outcomes = number of choices per question ^ number of questions

In this case, the number of choices per question is 4 and the number of questions is 3. Plugging these values into the formula, we get:

Number of outcomes = 4^3 = 64

We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.

(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.

(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

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Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

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Answer:

y-intercept= -4

slope= -2

The value(s) of x in which f’(x) = 0 are x = 0 and \(x= ^+_-\sqrt{2+\sqrt2}\) to the hundredth place.

First we need to find the derivative of f(x) for that we can use the product rule:

we know that \(f(x) = (x^2 - 2)(x^2 - \sqrt2)\) so the first derivative f'(x) is equal to:

\(f'(x) = [(x^2 - 2)(2x)] + [(x^2 - \sqrt2)(2x)]\)

after simplifying the derivative further, we get:

\(f'(x) = 2x(x^2 - \sqrt2 - 2)\)

We need to find the value of x for which the function f(x) =0:

So we can set f'(x) to zero and solve for x to find what is the value of x that satisfies the given equation.

\(2x(x^2 - \sqrt2 - 2) = 0\)

Therefore, either 2x = 0 (i.e., x = 0) or \(x^2 - \sqrt2 - 2\) = 0.

To solve for x in the second equation we can add 2 and \(\sqrt2\) to both sides and then take the square root of both sides:

\(x^2 = 2 + \sqrt2\\x = ^+_- \sqrt{2 + \sqrt2}\)

Therefore, the value(s) of x in which f’(x) = 0 are x = 0 and \(x= ^+_-\sqrt{2+\sqrt2}\) to the hundredth place.

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The solution to the system of equations is x = −2, y = ±√23.

Equation is a math statement that expresses two expressions with an equal sign. It is used to find the value of an unknown variable or unknowns. Equations are used in many branches of mathematics and science. For example, equations are used to calculate the force of gravity, the speed of light, the temperature of a gas, and the area of a triangle. Equations are also used to solve problems in physics, chemistry, engineering, and other disciplines. Equations are written in symbols and often involve multiple equations.

This system can be solved by solving the two equations separately.

For the first equation, xe^y+2e^y= 0, we can rearrange it to get xe^y = −2e^y. We can then divide both sides by e^y to get x = −2.

For the second equation, x² − 3x + y² = 19, we can plug in the value of x that we found previously, x = −2, and rearrange the equation to get y² = 23, and then solve for y by taking the square root of both sides, giving y = ±√23.

Therefore, the solution to the system of equations is x = −2, y = ±√23.

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The magnitude of vector A can be determined using the Pythagorean theorem, which states that the magnitude of a vector is the square root of the sum of the squares of its components. Given that\(A_x\)= +9.3 and \(A_y\) = -3.8, we can calculate the magnitude of A.

Using the Pythagorean theorem:

|A| = sqrt((A_x)^2 + (A_y)^2)

Plugging in the values:

|A| = sqrt((9.3)^2 + (-3.8)^2)

|A| = sqrt(86.49 + 14.44)

|A| = sqrt(100.93)

|A| ≈ 10.046

Therefore, the magnitude of vector A is closest to 10.

In the explanation, we used the Pythagorean theorem to calculate the magnitude of vector A. By squaring the components of A, summing the squares, and taking the square root of the result, we obtained the magnitude. The closest value to the calculated magnitude of A is 10.

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The correct statement is:

• If projw₁ is the orthogonal projection map onto W₁, then for all v in V, we have v - projw₁(v) ∈ W₂.

What is finite-dimensional inner product space?

In a finite-dimensional inner product space V, if V = W₁ ⊕ W₂ is the direct sum of two subspaces W₁ and W₂, the orthogonal projection map projw1 onto W₁ is a linear transformation that projects any vector v onto the subspace W₁. The projection of v onto W₁ is the closest vector in W₁ to v.

The statement v - projw₁(v) ∈ W₂ means that the difference between v and its projection onto W₁ lies in the subspace W₂. This is true because V is the direct sum of W₁ and W₂, which means any vector in V can be uniquely decomposed as the sum of a vector in W₁ and a vector in W₂. Therefore, the difference v - projw₁(v) will be in W₂.

This property holds for any vector v in V, so the statement is true.

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Answer:

Problem 1:  1/64x^8

Problem 2: y^8/9x^2

Step-by-step explanation:

In the first problem, you first need to multiply the -2 exponent to everything in the parenthesis. This is equal to 1/64x^4*-2, simplified to be 1/64x^-8. Finally you simplify the x to 1/64x^8.

For the second problem, you do the same in the first one, getting x^-2/9y^4*-2. This can be simplified to be 3x^-2/y^-8. Finally you make sure there is no negative exponents, so you do y^8/9x^2.

Answer:

1/64x^8 and y^8/9x^2

Step-by-step explanation:

hope this helps have a good night :)

Every integer n ≥ 1 can be written in the form

\(n = cr · 3^r + cr-1 · 3^(r-1) + ... + c2 · 3^2 + c1 · 3 + c0\), where

cr = 1 or 2 and

ci = 0, 1, or 2 for all integers i = 0, 1, 2, ..., r - 1.

To prove that every integer n ≥ 1 can be written in the form:

\(n = cr · 3^r + cr-1 · 3^(r-1) + ... + c2 · 3^2 + c1 · 3 + c0,\)

where cr = 1 or 2 and ci = 0, 1, or 2 for all integers i = 0, 1, 2, ..., r - 1, we can use a constructive proof.

Start with the base case: For n = 1, we have n = 1 = 1 · 3^0, which satisfies the given form.

Assume the statement holds for all positive integers up to k.

Consider the integer k + 1.

Divide k + 1 by 3: If k + 1 is divisible by 3, then set cr = 1 and use the remaining quotient (k + 1) / 3 as the next value for k in the assumption. Repeat this process until the quotient becomes 1.

If k + 1 is not divisible by 3, set cr = 2 and use the remaining quotient (k + 1 - 1) / 3 as the next value for k in the assumption. Repeat this process until the quotient becomes 1.

At each step, we update the values of cr, and the resulting expression follows the given form.

By repeatedly applying this process, we eventually reach 1, and the final expression satisfies the specified form.

Therefore, by induction, every integer n ≥ 1 can be written in the specified form.

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The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).

To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.

Component 1: f1(t) = t/(9 + t^4)

This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.

Component 2: f2(t) = 7t^2 - 7t + 1

This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.

Component 3: f3(t) = ln(t + 3)

The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.

Taking all these considerations into account.The function is continuous for all values of t greater than -3.

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Answer:

\( \large{ \bold{f(-2)=9}} \)

Step-by-step explanation:

In order to find f(-2) we substitute the value of x that's -2 into f(x). That is wherever there is x in f (x) you replace it by -2 and solve.

We have

\( \large{f(-2) = -3 - 6(-2)\\= -3--12 = -3+12 = 9} \)

We have the final answer as

\( \large{f(-2)=9} \)

Hope this helps you

The coordinates that represent the same point are: (3, 5π/4) and (-3, 3π/4); and (-3, 5π/2) and (-3, 3π/2). Explanation:We know that in the coordinate system, there is a point represented by (x,y) where x is the horizontal position and y is the vertical position.

Here in the question, we are given with some coordinates and we need to match the pairs that represent the same point. So, Let's check each pair given:(3, 5π/4) and (-3, 3π/4): Here, x coordinates are not same but we need to check whether they represent the same point or not. If we check the angles associated with each coordinate, we will notice that 5π/4 and 3π/4 are coterminal angles.

So, they both lie on the same position and thus represents the same point. Hence, this pair represents the same point.(-3, 5π/2) and (-3, 3π/2): Here, x coordinates are same, so they are representing the same point.

But we need to check whether y-coordinates also represents the same point or not. If we check the angles associated with each coordinate, we will notice that 5π/2 and 3π/2 are coterminal angles. So, they both lie on the same position and thus represents the same point. Hence, this pair represents the same point.

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Answer:

a. -5 > 2 (This is false because -5 is not greater than 2.)

b. 3 > -8 (This is true because a positive is greater than a negative.)

c. -12 > -15 (This is true because -12 is closer to 0 than -15 on the number line.)

d. -12.5 > 12 (This is false because -12.5 is further away from 0 than -12.)

Answer:

Which word best completes the sentence?

Select the word from the drop-down menu.

Everybody enjoys  

Choose...

company.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Changing LHS as

Comparing LHS and RHS

Answer&Step-by-step explanation:

Graphically, the point is the solution because it is the point that is on both lines.

Algebraically, that point, (5,-4), which means x=5 and y=-4, makes both of the equations true. That point "works" in both equations.

Sarah earns $120 per week from her part-time job. To complete the table, we need to list her expenses.  Sarah's expenses may vary, but here are some common examples she might have:

1. Transportation: Sarah may spend money on bus fare or gas if she drives. This expense depends on her mode of transportation and how far she travels.
2. Food: Sarah needs to eat, so she may spend money on groceries or meals outside. The amount spent on food will depend on her eating habits and whether she eats out frequently or cooks at home.
3. Utilities: Sarah may have to pay for utilities like electricity, water, and internet. The cost of utilities can vary depending on the region and the size of her living space.

4. Rent/ Mortgage: If Sarah lives independently or contributes to household expenses, she may have to pay rent or contribute to a mortgage payment.
5. Entertainment: Sarah may have expenses related to leisure activities such as going to the movies, concerts, or other entertainment events.
These are just a few examples, and Sarah's actual expenses may differ. It's important for her to track her spending to understand where her money goes. By doing so, she can budget effectively and make informed financial decisions.

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Answer:

Step-by-step explanation:

Step 1:

Butterflies is greater than Snails

More=addition

GP: 28+9=B

Step 2:

28+2=30

30+7=37

Answer: 37 Butterflies

Hope this helps!

Given that,

Total butterflies = 28

Total snails = 9

More butterflies than snails are = butterflies + snails

\(\implies28+9\)

\(\implies 37\)

Therefore, there are 37 butterflies.

The set of numbers that are written in order from least to greatest is: 15.75, √250, 4², 50/3, 16.7 x 10³.

You need to solve for the quantities given to see which numbers are the smallest and which are the largest.

15.75 = 15.75

√250 = 15.8

4² = 16

50 / 3 = 16.7

16.7 x 10³ = 16,700

The order from least to greatest is therefore:
15.75, √250, 4², 50/3, 16.7 x 10³.

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Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.

For instance, to multiply 3/4 by 2:

Put 2 over 1, making it 2/1, to make it a fraction.

To get 1/2, invert 2/1.

To get 3/8, multiply 3/4 by 1/2.

Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.

Hence, 1/4 is equivalent to 3/4 when divided by 2.

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Therefore, the value of n that makes the system of equations true is n = 10.

Given:

p = 2n

p - 5 = 1.5n

Substituting the value of p from the first equation into the second equation, we have:

2n - 5 = 1.5n

Next, we can solve for n by subtracting 1.5n from both sides of the equation:

2n - 1.5n - 5 = 0.5n - 5

Simplifying further:

0.5n - 5 = 0

Adding 5 to both sides of the equation:

0.5n = 5

Dividing both sides by 0.5:

n = 10

Therefore, the value of n that makes the system of equations true is n = 10.

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Answer:

y = -0.2(x) + 3

Step-by-step explanation:

One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.

Our two points are then (5, 2) and (0,3)

To find the slope, we can use

\(\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2\)

Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get

2 = -0.2 (5)  +b

2 = -1 + b

add 1 to both sides to isolate the b

b = 3

Our formula is thus

y = -0.2(x) + 3