a grocery store got a delivery of 24 pounds of almonds into containers of 0.75 pounds of almonds in each how many containers can they fill with almonds?

The value of x in the given equation using laws of exponents is; x = -9

We want to solve the problem correctly expressed as;

3^(4x) = 27^(x - 3)

Now, some of the laws of exponents are;

1) Product of powers rule.

2) Quotient of powers rule.

3) Power of a power rule.

4) Power of a product rule.

5) Power of a quotient rule.

6) Zero power rule.

7) Negative exponent rule.

Now, 27^(x - 3) can also be expressed as;

3^(3(x - 3))

Now, according to power of power rule, if a base raised to a power is being raised to another power, the exponents are multiplied and the base remains the same. Thus;

3^(3(x - 3)) = 3^(3x - 9)

Thus, we now have;

3^(4x) = 3^(3x - 9)

4x = 3x - 9

3x - 4x = 9

-x = 9

x = -9

Read more about Laws of Exponents at; https://brainly.com/question/11761858

#SPJ1

Step-by-step explanation:

This symbol is signma, which is the sub of all the X's after plugging them into the equation.

Just to show the pattern, the first 3 numbers on your table are 15, 13, and 13... doing those 3 with Sigma, and simplifying

[tex]( {1 5 - 2)}^{2} + ({13 - 2)}^{2} + {(13 - 2)}^{2} [/tex]

[tex]169 + 121 + 121[/tex]

You would pretty much do that all the way down the list.

After doing so, we wind up with

15, 13, 13, 4, 19, 12, 6, 5, 14

[tex]169 + 121 + 121 + 4 + 289 + 100 + 16 + 9 + 144[/tex]

Adding these together gets your answer of:

[tex]973[/tex]

In the absence of trade between Glacier and Sequoia, Glacier would consume 8 million pairs of shorts and 48 million pounds of almonds, and Sequoia would consume 15 million pairs of shorts and 20 million pounds of almonds. However, if both countries decide to engage in trade, Glacier could specialize in producing shorts, using 1 million hours of labor per week, and Sequoia could specialize in producing almonds, using 1 million hours of labor per week. This specialization would result in Glacier producing 12 million pairs of shorts and Sequoia producing 24 million pounds of almonds. This would enable each country to consume more of both goods than they could produce in the absence of trade.

There will be a total of 741 greetings at the mother-daughter tea.

Two or more expressions with an Equal sign is called as Equation.

Let's start by counting the number of greetings between the host mother-daughter pair and the other 19 mother-daughter pairs.

Since each pair only greets once, the host pair will make 19 greetings.

Now we need to count the number of greetings between the 19 guest mothers and the other 19 mother-daughter pairs

Each of the 19 guest mothers will greet 18 other mother-daughter pairs, for a total of 19 x 18 = 342 greetings.

Finally, we need to count the number of greetings between the 19 guest daughters and the 20 mothers

Each of the 19 guest daughters will greet 20 mothers

Total is 19 x 20 = 380 greetings.

By adding all we get 741 greetings

Therefore, there will be a total of 741 greetings at the mother-daughter tea.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ9

Answer:

this is the answer ................................

Answer:

Step-by-step explanation:

To find the distance Tyler needs to swim, we can use the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side, which is the hypotenuse.

In this case, the two shorter sides of the triangle are 40 feet and 80 feet, and the hypotenuse is the distance Tyler needs to swim to reach Jason. So we can write the equation as follows:

40^2 + 80^2 = d^2

where d is the distance Tyler needs to swim.

Expanding the equation:

1600 + 6400 = d^2

8000 = d^2

Taking the square root of both sides:

d = sqrt(8000) = 80 * sqrt(2)

So, Tyler needs to swim a distance of 80 * sqrt(2) feet, or approximately 113.1 feet, to reach Jason.

Answer:yo no se come ablar ingles

Step-by-step explanation:

The relative minimum's coordinates are (1, -5).

The first derivative test can be used to determine if a continuous function's critical point is a relative minimum or maximum. Simply put, the first derivative is a relative minimum if it is negative to the left of the critical point and positive to the right of it.

The parabola's equation takes the following form because its vertex is at (1, -5).

y = a(x - 1)² - 5

where "a" is a constant that determines the shape of the parabola. Since the parabola crosses the y-axis at (0, -3), we can substitute these coordinates into the equation and solve for "a" as follows:

-3 = a(0 - 1)² - 5

-3 = a - 5

a = 2

Thus, the equation of the parabola is:

y = 2(x - 1)² - 5

The x-coordinate of the vertex is given by x = 1

find the corresponding y-coordinate by substituting x = 1 into the equation:

y = 2(1 - 1)²- 5 = -5

To know more about relative minimum visit:-

https://brainly.com/question/29088643

#SPJ1

The equation of the line will be y = -3/4x + 1.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The slope of the line is -3/4 and the y-intercept is 1. The equation of the line can be written as:-

y = mx + c

y = -3/4x + 1

Therefore, the line will have the equation y = -3/4x + 1.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ9

Answer:

A nonlinear function is a function in which the rate of change of the output (y) is not proportional to the rate of change of the input (x). In other words, a nonlinear function is a function where the graph of the function is not a straight line.

Here are a few examples of equations that represent nonlinear functions:

y = x^2: This is the equation for a parabolic function, which is a classic example of a nonlinear function.

y = sin(x): This is the equation for the sine function, which is periodic and nonlinear.

y = |x|: This is the equation for the absolute value function, which is nonlinear and has a "kink" at x = 0.

y = log(x): This is the equation for the natural logarithmic function, which is also nonlinear.

These are just a few examples of nonlinear functions. There are many other types of nonlinear functions, including polynomial, exponential, and trigonometric functions.

The average rate of change over the interval (-1, 2) of the function is 3.

A parabola is a curve drawn in a plane. Where any point is at an equal distance from a fixed point (the focus) and a fixed straight line (the directrix).

A graph of the parabola is given.

The vertex is (-1, -4).

And the y-intercept is -3.

So, the equation of the parabola is,

y = (x + 1)² - 4.

The average rate of change over the interval (-1, 2):

= f(-1) - f(2)/(-1 - 2)

= (-4 - 5)/-3

= 3

Hence, 3 is the average rate of change.

To learn more about parabolas;

https://brainly.com/question/21685473

#SPJ1

The temperature on the surface of the planet, based on the equation for the temperature, is 47 degrees Celsius.

The equation given of y = 47 - 5x, is such that every one kilometer that we go from the surface of the planet, the temperature reduces by 5 degrees Celsius.

What this means is that at the surface of the planet the temperature is 47 degrees Celsius because this is the temperature when we have not gone a single kilometer above the surface.

Find out more on temperature at https://brainly.com/question/24746268

#SPJ1

The rest of the question is:

Note that a change can be an increase or a decrease.

For an increase, use a positive number. For a decrease, use a negative number.

What is the temperature on the surface of the planet?

Step-by-step explanation:

Your picture looks blurry however I think the graph passes through the points (0,0)(-1,0) and (3,0) so the equation becomes

[tex](x +1)(x - 3)x[/tex]

[tex] {x}^{3} - 2x {}^{2} - 3x + c[/tex]

Where C is the y intercept.

Since C is 0, our equation becomes

[tex] {x}^{3} - 2 {x}^{2} - 3x[/tex]

The y-coordinate for the solution to the system of equations is 6.

In mathematics, the value that is equally divided by the two supplied numbers is known as the LCM of any two. Least Common Multiple is its full name. Another name for it is the Least Common Divisor (LCD).

When the fractions' denominators differ, LCM can also be used to add or subtract any two fractions. LCM is used to make the denominators common when doing any arithmetic operations using fractions, such as addition and subtraction. The simplifying process is facilitated by this procedure.

The system of equation is given as:

−x + 3y = 9

y = 2/3x

The second equation can be written as:

x = 3/2y

Substituting the value of x in equation 1:

-3/2y + 3y = 9

Take the LCM:

-3y + 6y / 2 = 9

-3y + 6y = 18

3y = 18

y = 6

Hence, the y-coordinate for the solution to the system of equations is 6.

Learn more about system of equations here:

https://brainly.com/question/90105

#SPJ1

the  solution of the given equation will be x =1

What is a System of Equations?

A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.

The given equation x -5 = -4

add +5 in both side we get

x = -4+5

x=1.

Hence the solution of the given equation will be x =1

Learn more about System of Equations, by the following link.

https://brainly.com/question/12526075

#SPJ1

Answer:

See below for solution steps for parts (a) and (c)

Step-by-step explanation:

The trick here is to get all the roots to have the same radical. Each of the lowest radical is the square root pf a prime so cannot be reduced further

For example, in a, the lowest is [tex]\sqrt{3}[/tex]

So get all the others to this level a[tex]\sqrt{3}[/tex]  and then you can just add up the non-radicals and use the radical as the common expression

I will solve a couple and that will give you a general idea of solving the rest

Let's do a.
[tex]5\sqrt{3} , \sqrt{3}[/tex] are already at the lowest radical level of [tex]\sqrt{3}[/tex] so let's reduce 108 to have [tex]\sqrt{108}[/tex] to have [tex]\sqrt{3}[/tex] as one of its components

We can factor 108 as follows;

108/3 = 36

So 108 = 36 x 3

√108 = √36 × √3 = 6√3

Therefore the original expression becomes

[tex]5\sqrt{3} - 6\sqrt{3} + \sqrt{3} = (5 - 6 + 1)\sqrt{3} = 0 \sqrt{3} = 0[/tex]

[tex]-------------------------------[/tex]

c.
[tex]2\sqrt{20} - 7\sqrt{5} + \sqrt{45}[/tex]

Lowest radical is [tex]\sqrt{5}[/tex] whose coefficient is 7

Factor 20 = 4 x 5

[tex]2\sqrt{20} = 2\sqrt{4 \times 5} = 2\sqrt{4} \times \sqrt{5} = 2\times 2 \times \sqrt{5}\\= \bold{4\sqrt{5}}[/tex]

Factor 45:
45 = 9 x 5

[tex]\sqrt{45} = \sqrt{9} \times \sqrt{5} = \bold{3\sqrt{5}}[/tex]

Original expression becomes:
[tex]4\sqrt{5} - 7\sqrt{5} + 3\sqrt{5}\\\\=(4 - 7 + 3)\sqrt{5}\\\\= 0 \sqrt{5}\\\\= 0\\----------------------------[/tex]

I am sure you can do the rest. If not post them as another question. Maybe someone else will answer a few of the ones I did not.

All the best

Answer: the answer is C just did it

The chef bought a total of 4 1/5 kilograms of beans.

Number of bags of beans the chef bought= 3

Quantity of beans in each bag = 1 2/5 kilograms

Total kilograms of beans bought by the chef= Number of bags of beans the chef bought × Quantity of beans in each bag

= 3 × 1 2/5

= 3 × 7/5

= 21/5

= 4 1/5 kilograms of beans

Ultimately, the chef bought 4 1/5 kilograms of beans.

Complete question:

a chef bought 3 bags of beans. Each bag contains 1 2/5 kilogram of beans. How many kilograms of beans did she buy?

Read more on kilograms:

https://brainly.com/question/15201918

#SPJ1

The amount after 35% off on a 85 dollar item will be $55.25

Percentage is a way to express a number as a fraction of hundred. It is often used to represent proportions  and  ratios in a more convenient and understandable form, especially in financial  statistical and financial  contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

To find the sale price of an item that has a discount, you can use the following formula:

Sale price = Original price - (Discount percent × Original price)

In this case, the discount is 35% off of an $85 item. So we have:

Discount percent = 35%

Original price = $85

Substituting these values into the formula, we get:

Sale price = $85 - (35% × $85)

Sale price = $85 - $29.75

Sale price = $55.25

Therefore, the sale price of the item after a 35% discount is $55.25.

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ1

Answer:

The number is 29.

Step-by-step explanation:

"five times the sum of a number and two" can be represented as 5(x + 2), where x is the number. "nineteen less than six times the number" is the same as 6x - 19. The word "is" determines that these two parts are equal. So, 5(x + 2) = 6x - 19.

Solve:

5x + 10 = 6x - 19

10 = x - 19

x = 29

Check:

5 * (29 + 2) = 5 * 31 = 155

(6 * 29) - 19 = 155

155 = 155

The fomulas of the sequence are a(n) = 3200(1.09)^n-1 and a(n) = a(n - 1) * 1.09

from the question, we have the following parameters that can be used in our computation:

First term, a = 3200

Increment, r = 9%

To find the explicit formula, we can use the formula for compound interest:

a(n) = a * (1 + r)^n-1

So, we have

a(n) = 3200(1.09)^n-1

For the recursive formula, we have

a(n) = a(n - 1) * 1.09

This is because the product of the current term and the incremnt rate gives the next term

Read more about sequence at

https://brainly.com/question/29431864

#SPJ1

The given triangles can be classified based on their sides and angles as:

1. Isosceles, acute triangle

2. Scalene, right triangle

3. Scalene, obtuse triangle

4 Equilateral

5. Isosceles, right triangle

6. Scalene, acute triangle

7. Equilateral, acute triangle

8. Isosceles, obtuse triangle

Triangles can be classified by both their sides and their angles.

Classification by sides:

Classification by angles:

Thus, using the sides or angles of the given triangles, they are classified as follows:

1. Isosceles, acute triangle

2. Scalene, right triangle

3. Scalene, obtuse triangle

4 Equilateral

5. Isosceles, right triangle

6. Scalene, acute triangle

7. Equilateral, acute triangle

8. Isosceles, obtuse triangle

Learn more about classification of triangles on:

https://brainly.com/question/1058720

#SPJ1

The statement "the sum of a two-digit number is less than the value of the original two-digit number" can be rewritten as conditional statement. If the sum of two digits of a two-digit number is less than the value of the original two-digit number, the number is valid.

A conditional statement, "if p, then q," with p representing the hypothesis and q representing the conclusion. We can identify the hypothesis and conclusion by rewriting the statement "the sum of the digits of a two-digit number is less than the value of the original two-digit number" as an if-then conditional statement.

The hypothesis is the condition that must be satisfied in order to valid the conclusion. In this case, the hypothesis is "the sum of the digits of a two-digit number is less than the value of the original two-digit number".

By combining these, we can rewrite the statement as follows:

If the sum of a two-digit number's digits is less than the value of the original two-digit number, the number is valid.

The hypothesis (the sum of the digits of a two-digit number is less than the value of the original two-digit number) is a sufficient condition for the conclusion, according to this conditional statement (the number is valid). In other words, if the hypothesis is correct, we can be certain that the conclusion is correct as well.

To learn more about hypothesis.

https://brainly.com/question/29519577

#SPJ4

For the information provided the x- and y-components of the vector are 1.5 km and 2.6 km, respectively.

To find the x- and y-components of the vector, we can use trigonometry.

The x-component of vector is given by:

d_x = d × cos(θ)

where d is the magnitude of the vector and θ is the angle between the vector and the x-axis.

In this case, d = 3.0 km and θ = 60 degrees (since the vector is 30 degrees to the left of the y-axis).

So, d_x = 3.0 km × cos(60°) = 1.5 km.

The y-component of vector is given by:

d_y = d × sin(θ)

In this case, d_y = 3.0 km × sin(60°) = 2.6 km.

Expressing the answer using two significant figures gives:

d_x = 1.5 km, d_y = 2.6 km.

Learn more about vectors here: brainly.com/question/15519257

#SPJ4

Answer:

120°

Step-by-step explanation:

360 / 12

30 X (5-1)

30 X 4= 120°

To find the distance between the man's starting point and his final position, we can use vector addition.

Let's call the man's starting point A and his final position B. We can represent the two legs of his journey as vectors A and B, respectively.

The first leg of his journey, due west, can be represented as a vector of magnitude 4 km in the -x direction.

The second leg of his journey, on a bearing of 197°, can be represented as a vector in the -x and -y direction. We can use trigonometry to find the components of this vector.

The x component of the vector can be found using the formula:

x = magnitude * cos(angle) = d * cos(197°)

The y component of the vector can be found using the formula:

y = magnitude * sin(angle) = d * sin(197°)

where d is the magnitude of the vector (the distance the man traveled in this leg of his journey).

To find the magnitude of the vector, we'll use the Pythagorean theorem:

d^2 = x^2 + y^2

We can substitute the x and y components we found above into this equation to find d:

d^2 = (d * cos(197°))^2 + (d * sin(197°))^2

d^2 = d^2 * (cos^2(197°) + sin^2(197°))

d^2 = d^2

d = sqrt(d^2) = sqrt(d^2)

So the magnitude of the vector is d.

Next, we can add the two vectors to find the total distance from the man's starting point to his final position:

distance = sqrt((4 - d * cos(197°))^2 + (d * sin(197°))^2)

This is the distance the man is from his starting point. To find the exact value, we would need to know the value of d. However, without that information, this is as far as we can take the calculation.

Answer:

oranges

Step-by-step explanation:

20% of 460 = 92

30% of 340 = 102

The perimeter of the pentagon PQRST will be equal to the perimeter of the pentagon ABCDE.

The regular polygon's edges are all identical to one another. The relationship between the number of sides to the mean distance determines the regular polygon's perimeter when it has n sides.

Then the perimeter of the pentagon ABCDE is given as,

P = AB + BC + CD + DE + EA

And the perimeter of the pentagon PQRST is given as,

P = PQ + QR + RS + ST + TP

Regular pentagons ABCDE and PQRST are congruent with each other.  Then the perimeter of the pentagons will be identical to each other.

More about the perimeter of the regular polygon link is given below.

https://brainly.com/question/10885363

#SPJ9