Solve for x. Round to the nearest tenth.

Para calcular el área de un rectángulo multiplicamos el largo por el ancho.

The area is the space inside a two-dimensional figure. We can also consider the area as the amount of space that surrounds the figure. Reaction of the Right Angle: Long and Sharp

Area = largo anchostart text, A, with, ', on top, r, e, a, end text, equals, start text, l, a, r, g, o, end text, times, start text, a, n, c, h, o, end text =62Area = largo anchostart text, empty space, equals, 6, times, 2=12 cuadradas

Area equals 12 square units

start text, space, u, n, I d, a, d, e, s, space, c, u, a, d, r, a, d, a, s, end text, empty space, equals,

Example 2: "Area=largo"anchostart text, "A," "with," "on top," "equals," "l," "a," "r," "g," "o," "end text," "times," and "l".

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Answer:

759 [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Convert the mixed numbers into fraction ( to make it easier )

Equation:

[tex]\frac{29}{3}[/tex] x [tex]\frac{244}{3}[/tex]    <—- Remember these are mixed number ;)

Now we make it into this..

28 x 244

————-

 3 x 3

Multiply the top : 6832

Multiply the bottom : 9

Make to fraction——-/\

( [tex]\frac{6832}{9}[/tex] )

Simplify the answer to:

759 [tex]\frac{1}{9}[/tex]

This is an incorrect question.

The correct question should be as:

Simplify: [tex]9^{\frac{1}{3}} *81^{\frac{1}{3}}[/tex]

Step-by-step Solution:

[tex]9^{\frac{1}{3}} *81^{\frac{1}{3}}[/tex]

⇒[tex]9^{\frac{1}{3} }[/tex]  is the same as [tex]\sqrt[3]{9}[/tex]

⇒[tex]81^{\frac{1}{3} } \\[/tex]  is the same as [tex]\sqrt[3]{81}[/tex]

⇒[tex]\sqrt[3]{9*81}[/tex]

⇒[tex]\sqrt[3]{3*3*9*9}[/tex]

⇒[tex]\sqrt[3]{3*3*3*3*3*3}[/tex]

Pull out groups of 3 from underneath the radical:

⇒[tex]\sqrt[3]{9}[/tex] * [tex]\sqrt[3]{81}[/tex]

⇒[tex]\sqrt[3]{729}[/tex]

⇒ 9

Therefore, the correct solution to this question is: 9

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The table represents an exponential function. This is seen as the Y values are multiplied by three for every one X value. A linear function would be adding or subtracting, instead.

The slope of the line given by the equation 3x-y=6 is -3.

The slope of a line can be calculated by using the formula m = (y2 - y1) / (x2 - x1). In this formula, m represents the slope of the line, y represents the y-coordinate of the two points, and x represents the x-coordinate of the two points.

For the equation 3x-y=6, we can substitute the two points (0,6) and (2,0). This means that for the formula, y1 = 6, y2 = 0, x1 = 0, and x2 = 2. Substituting these values into the formula, we get m = (0 - 6) / (2 - 0), which simplifies to m = -6 / 2, or m = -3. Therefore, the slope of the line given by the equation 3x-y=6 is -3.

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Required measures of the vertex angle ACE in the given isosceles trapezoid ABDE formed as a part of an isosceles triangle ACE is equal to 70°.

As given in the question,

In the isosceles triangle ACE,

Diagram is attached.

AC ≅CE

And isosceles trapezoid ABDE is a part of isosceles triangle ACE.

A-B-C and E - D- C

AB ≅ ED

BC ≅ DC

⇒∠DBC ≅ ∠BDC ( opposite angles to the equal sides )

It is a trapezoid one pair of side is parallel to each other,

⇒ BD || AE

Measure of ∠ABD = 125°

⇒∠ABD + ∠DBC = 180°

⇒∠DBC = 55°

⇒∠BDC = 55°

In ΔBDC,

∠BDC + ∠DBC + ∠DCB = 180°

⇒∠DCB = 70°

⇒∠ACE = 70° ( A-B -C , E- D - C )

Therefore, the measure of the vertex angle ACE in the given isosceles triangle with given conditions is equal to 70° .

The above question is incomplete, the complete question is:

The isosceles trapezoid ABDE is part of an isosceles triangle ACE. Find the measure of the vertex angle of ACE with given measure of angle ABD = 125°.

Diagram is attached.

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Answer: x=1, y=4

Step-by-step explanation:

First, add these equations to eliminate y

x+y=5

x-y=-3

2x=2

Then solve 2x=2 for x

2x/2=2/2

x=1

Now we plug the x back to solve for y.

x+y=5

1+y=5

-1    -1

y=4

Using the speed calculation formula, we can conclude that the object travels 18000 feet.

in speed calculation, there's a relation between speed, distance, and time. Speed is the distance traveled in a certain unit of time. Speed can be calculated by dividing the distance by time:

Speed = distance / time

From the problem we can obtain some information:

speed = 5 feet/second

time = 1 hour

To calculate the distance, we can do as follows:

distance = speed * time

              = 5 feet/second * 1 hour

To finish this operation, we must change the unit of time so that align with the unit of speed.

1 hour = 3600 seconds

Then we go back to the distance calculation:

distance = 5 feet/second * 1 hour

              = 5 feet/second * 3600 seconds

              = 18000 feet

Thus the object travels 18000 feet.

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Similar triangles are two triangles that have the same shape but not necessarily the same size.

1. The corresponding angles are equal.

2. The corresponding sides are in proportion.

Similar triangles are two triangles that have the same shape but not necessarily the same size. They can be congruent, meaning they have the same size and shape, or they can be similar without being congruent. Two main properties of similar triangles are:

1. The corresponding angles are equal. This means that the angles of one triangle are congruent (or equal) to the angles of the other triangle.

2. The corresponding sides are in proportion. This means that the sides of one triangle are proportional to the sides of the other triangle. For example, if one side of a triangle is twice as long as another side, then the corresponding sides of the other triangle will also be twice as long.

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The equivalent expression for  1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is ((1.5³/1.6⁴)⁻7

Given the following statement

1.5 cubed over 1.6raised to the fourth power all raised to the power of negative seven

1.5 cubed over 1.6  is expressed as 1.5³/1.6

If the expression is all raised to the fourth power, hence;

(1.5³/1.6)⁴

If the final expression is raised to the power of negative seven then we have;

((1.5³/1.6)⁴)⁻7

The equivalent expression for  1.5 cubed over 1.6 raised to the fourth power all raised to the power of negative seven is ((1.5³/1.6)⁴)⁻7

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1 and 1/6

u have to find the LCM and multiply that by the numerator and then add them together, u would then get 7/6 and that simplified is 1 and 1/6

Answer: 160

Step-by-step explanation:

32/w = 20/100 = 32 x 100/20xw = 3200 divided by 20 = 160

The equations for both Khalil's and Ronda's purchase is given below:

The price of one loaf of bread is $3.44

4 cans and 3 loaves=11.67

8 cans and 1 loaf= 12.89.

Set up the equation:

These are the equations for both Khalil's and Ronda's purchases.

If we solve for x in the equation, the answer would be $3.44

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A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and

three loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework. Help

a. Write equations for both Khalil's and Ronda's purchases.

b. Solve the system to find the price of one can of soup and the price of one loaf of bread

Answer:

y = 1/2x - 1

Step-by-step explanation:

we can solve by first finding the 'slope'

we can solve the equation for 'y' to get:

2y = -4x + 10

y = -2x + 5

the coefficient of the x-value, -2, represents the slope

but the slope of a line perpendicular to another is the inverse reciprocal so we must use 1/2 for the slope

now we can input '8' for 'x' and '3' for 'y' and '1/2' for 'm' into the

formula y = mx + b

3 = 1/2(8) + b

3 = 4 + b

-1 = b

'b' is the point at which our line intersects the y-axis

answer:  y = 1/2x - 1

In most cases the product of a monomial and binomial is a binomial.

A monomial has one term, a binomial has two, a trinomial has three, and a polynomial contains one or more terms.

A monomial is a single-term algebraic expression that can also include several variables and a higher degree.

The algebraic statement with only two terms is known as a binomial expression. It is a polynomial with two terms. It is also known as the sum or difference of two or more monomials. It is the most basic form of a polynomial.

A binomial is always the product of a monomial and a binomial. For instance, multiply 5x by the binomial (5x+4). Then we have. 5x(5x+4)=25x2+20x. (By using distributive law)

A trinomial is the product of two binomials.

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Solvable problems for which no polynomially bounded algorithms exist are called NP-hard problems.

In computer science, the class of problems known as NP (nondeterministic polynomial time) consists of decision problems that can be verified in polynomial time, meaning that the time it takes to verify a solution to the problem grows at most polynomially with the size of the input. NP-hard problems are a subset of NP that are at least as hard as the hardest problems in NP.

An algorithm for an NP-hard problem is considered polynomially bounded if the time it takes to solve the problem grows at most as a polynomial function of the size of the input. This means that for large inputs, the running time of the algorithm does not increase too quickly. NP-hard problems are of particular interest because, although they may not have a polynomial time solution, they can be used to model many real-world problems and can provide insights into the complexity of computational problems.

Examples of NP-hard problems include the traveling salesman problem, the subset sum problem, and the knapsack problem. These problems have been shown to be NP-hard through a process called reduction, in which a problem can be transformed into another problem that is known to be NP-hard. By showing that the original problem can be reduced to an NP-hard problem, it can be concluded that the original problem is also NP-hard.

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The probability that the picked card is not 4 is 3/4.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Probability is calculated by dividing the number of desirable outcomes by the total number of outcomes.

Here, there are 4 cards 2, 3, 4 and 5.

Total number of cards = 4

Number of cards that has 4 = 1

Probability (4) = 1/4

Probability (not 4) = 1 - Probability (4)

Probability (4) = 1 - 1/4 = 3/4

Hence there is a probability of 3/4 where the picked card is not 4.

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Answer:

See the attached histogram.

Step-by-step explanation:

Answer:

[tex] \mathsf{P = 45,230 {(1 + 0.02)}^{t} }[/tex]

Step-by-step explanation:

Since P is growing every year at the rate of 2%.

It's an case similar finding of compounds interest.

that why we are using the formula of compounds interest in this situation.

The total change in the stock market from the beginning of the day to the end of the day is 30 1/4 points.

The interval notation for 7x + 20 < - 15 and x + 7 > 0 is (-∞,∞).

What is interval notation?

By using the numbers that bound them, interval notation can be used to express continuous sets of real numbers. Written intervals resemble ordered pairs to some extent. But they don't necessarily signify a certain idea. In contrast, they are intended to serve as a concise manner to express an inequality or set of inequalities.

In order to find the interval notation, we need to solve the inequalities.

So, we are given

⇒7x + 20 < - 15

⇒7x + 20 - 20 < -15 - 20  (Subtracting 20 on both sides)

⇒7x < -35

⇒7x/7 < -35/7                    (Dividing by 7 on both sides)

⇒x < -5

The interval notation is (-∞,-5).

Next we have,

⇒ x + 7 > 0

⇒ x + 7 - 7 > 0 - 7   (Subtracting 7 on both sides)

⇒ x  > -7

The interval notation is (-7,∞).

Hence, the interval notation for 7x + 20 < - 15 and x + 7 > 0 is (-∞,∞).

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For given equation f(x)=9x² + 5x + 3, a = 9, b = 5 and c = 3

Also, the parabola opens upwards

We know that the standard form of quadratic function is f(x) = ax² + bx + c, where, a, b, c are real numbers with a ≠ 0

We have been given a quadratic equation f(x)=9x² + 5x + 3

Comparing above equation with the standard quadratic equation  f(x) = ax² + bx + c, we get a = 9, b = 5 and c = 3

We know that the graph of quadratic equation is a parabola.

So,  f(x)=9x² + 5x + 3 represents a parabola.

To determine whether the parabola opens up or down, we need to consider the coefficient 'a'.

if the leading coefficient 'a' is greater than zero, the parabola opens upward, and if the leading coefficient <  0, the parabola opens downward.

Here, a = 9 whch is greater than 0

So, the parabola f(x)=9x² + 5x + 3 open upward.

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limit as n approaches infinity = ∞

[tex]\lim_{n \to \infty\}[/tex]6n² - 2n/n² +8

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Their average daily balance rounded to the nearest cent is 319.42.

The average daily balance is calculated by adding up the balances for each day of the billing cycle and dividing the result by the total number of days in the period. The customer's financing fee is then calculated by multiplying the balance by the monthly interest rate, which is determined by dividing the cardholder's APR by 12.

A person has a balance of $3,290 on their credit card for 9 days.

3290 / 9 = 365.55

They then make a purchase and carry a balance of $ 4,490 for the next 11 days.

4,490/11 = 408.18

Then this person makes a payment and carries a balance of $2,030 for the remaining 11 days in the month.

2030/11 = 184.54.

Their average daily balance rounded to the nearest cent is

365.55 + 408.18 + 184.54 / 3 = 319.42.

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The negative solution to the question is -6

A word problem is a mathematical exercise which is in the form of a hypothetical question that needs mathematical analysis and equations to be solved.

The question can be interpreted as;

x^2 - 54 = 3x

x^2 - 54 - 3x = 0

x^2 - 3x - 54 = 0

Finding the common factors

x^2 - 9x + 6x -54 = 0

Factoring out the common factors

x(x-9) +6(x-9) = 0

(x+6)(x-9) = 0

Hence,

x + 6 = 0

x = -6

Hence, -6 is the negative solution to the question

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Answer:

I believe the answer to be increasing by increments of times 3 x3

The value of x given that m∠ABC=(8x−48)° and m∠ABD=44° is 23°.

From the information, it should be noted that we are informed that m∠ABC=(8x−48)° and m∠ABD=44° depicts the angle in a straight line. It's important to note that the value of the angle on a straight line is 180°.

In this case, we are going to add the angles that are given and then equate them to 180°. This will be:

8x - 48 + 44 = 180

8x - 4 = 180

8x = 184

Divide

x = 184 / 8

x = 23°

The value of x is 23°.

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Complete question

If m∠ABC=(8x−48)° and m∠ABD=44° depicts the angle in astraight line. Find the value of x.

Answer:

D

Step-by-step explanation:

(1) 1059.375 kg

Each kaings weight is 18.75 kilograms 18.75 kg each for the 56.5 kaings.

56.5 x 18.75 =1059.375 kg

Diego and other farmers harvested tomatoes for barangay's gulayan day.

(2) (a) ₹454.69

Each kaings weight is 18.75 kilograms tomatoes sell on ₹24.25 a kilograms

18.75 ×24.25 = 454.60 rupees

(2) (b) ₹25689.84

Each kaings weight is 18.75 kilograms

All kaings is 56.5 Total tomatoes weight is 1059.375 kg tomatoes sell on ₹24.25 a kilograms 24.25 × 1059.375 = 25689.84 rupees

(3) 18247.22 kg

Each kaings weight is 18.75 kilograms All kaings is 56.5 1.5 kilograms free for each kaing 18.75 – 1.5 = 17.25 kg 17.25 × 56.5 = 18247.22 kg.

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