A bulk food store sells two types of trail mix that are a combination of nuts, chocolate, and dried fruit. One of the trail mixes is 75% nuts, and the other is 35% nuts. A customer puts in a special order for 10 pounds of trail mix that is 60% nuts. How much of each trail mix should be combined to create the special order trail mix?

Answer: 1240

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Location of the negative make value different from each other that is  5.3/10^4 and -(5.3 * [tex]10^{4}[/tex])  

According to this rule, if the exponent is negative, we can change the exponent into positive by writing the same value in the denominator and the numerator holds the value 1.

The negative exponent rule is given as:

   5. 3 x 10^-4

=  5.3/10^4                 (1)

-5. 3 x 10^4

-(5.3 * [tex]10^{4}[/tex])                  (2)

from equation 1 and 2 these two equations are different from each other.

location of the negative make value different from each other that is  5.3/10^4 and -(5.3 * [tex]10^{4}[/tex])  

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The coordinates of point M after a 90° clockwise rotation about P is (0, -3).

Thus, by applying the rule of 90° clockwise rotation-

M = (3,0) taking P as reference point .

M' = (0, -3) after 90° clockwise rotation.

Thus, the coordinates of point M after a 90° clockwise rotation about P is (0, -3).

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An angle bisector of a triangle is a line segment that divides an angle into two congruent angles. In an equilateral triangle, all angles are congruent (60 degrees), so any line segment that divides an angle into two congruent angles is also an angle bisector.

To find the angle bisector of an equilateral triangle, you can use the following method:

Draw an equilateral triangle.

Choose an angle and draw the angle bisector from the vertex of the angle to the midpoint of the opposite side.

Since all the angles of an equilateral triangle are congruent, the angle bisector that you drew bisects any angle of the triangle.

Alternatively, you can use the following method:

Draw an equilateral triangle.

Connect the midpoint of one side of the triangle to the opposite vertex.

The segment that you drew bisects the angle of the triangle.

It is important to note that in an equilateral triangle, all medians, altitudes, angle bisectors, and perpendicular bisectors are congruent, they all divide the triangle in the same ratio, so they all meet at the same point, called the centroid, which is 2/3 of the distance from each vertex to the midpoint of the opposite side.

4x-2 is added to the given polynomial p(x) to leave the remainder=(-2).

[tex]p(x)=2x^3-7x^2+2x\\g(x)=2x-3\\dviding. p(x) by g(x),\\ we get2x-3)2x^3-7x^2+2x(x^2-2x2x^3-3x^2- +0 -4x^2+2x-4x^2+6x+ -0 -4xq(x)=x^2-2xand, r(x)=-4x\\Now,\\According to division algorithmp\\(x)=g(x)*q(x)+r(x)2x^3-7x^2+2x=(2x-3)(x^2-2x)+(-4x)\\adding 4x-2 on both side,\\ we get\\2x^3-7x^2+2x+4x-2=(2x-3)(x^2-2x)+(-4x)+4x-22x^3-7x^2+6x-2=(2x-3)(x^2-2x)+(-2)[/tex]

4x-2 is added to the given polynomial p(x) to leave the remainder=(-2).

A polynomial is described as an expression that consists of variables, constants, and exponents, which might be mixed with the use of mathematical operations along with addition, subtraction, multiplication, and department (No division operation by a variable).

In arithmetic, a polynomial is an expression that includes indeterminates and coefficients, that entail best the operations of addition, subtraction, multiplication, and fine-integer powers of variables. An instance of a polynomial of an unmarried indeterminate x is x² − 4x + 7.

Polynomials are sums of phrases of the form k⋅xⁿ, in which okay is any wide variety and n is a positive integer. for example, 3x+2x-5 is a polynomial. advent to polynomials.

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Complete Question:

what number must be added to[tex]2x^3-7x^2+2x[/tex] so that the resulting polynomial leaves the remainder -2 when divided by 2x-3​

The cost of the shoes is $19.

Here are the system of equations that represent the question:

x + y = 46 equation 1

y = x - 8 equation 2

The substitution method would be used to solve these equations

Substitute for y in equation 1

x + x - 8 = 46

Combine similar terms: x + x = 46 - 8

Add similar terms together: 2x = 38

Divide both sides of the equation by 2: x = 38/2

x = 19

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Answer:

Follow the equations from the person above me, but instead the cost of the shoes is 27.

Step-by-step explanation:

Answer:

x=1/10

Step-by-step explanation:

2x+3 = 4-8x

2x+8x=4-3

10x=1

x=1/10

The ratio which can be used to calculate the height of the building would be [tex]\frac{8}{4}=\frac{x}{15}[/tex].
Option (B) is correct.

What is the triangle similarity test?

The triangle similarity test is a method used to determine whether two triangles are similar or not. Similar triangles are triangles that have the same shape but different sizes. They are similar if their corresponding angles are congruent and their corresponding sides are in proportion. There are several ways to test for similarities, such as the side-side-side (SSS) test, the angle-angle-side (AAS) test, and the side-angle-side (SAS) test.

In the given figure, triangle KLM is similar to Triangle ORS.

and by the property of similar triangles, sides of similar triangles are in proportion:

so we can write:

LM/RS = KL/OR

15/4  = x/8
[tex]\frac{15}{4}=\frac{x}{8}\\\\\frac{8}{4}=\frac{x}{15}[/tex]

Hence, the ratio which can be used to calculate the height of the building would be [tex]\frac{8}{4}=\frac{x}{15}[/tex].

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A parallelogram does not comprise the characteristics of having all congruent angles, Therefore, option B: "All angles are congruent." is the correct answer.

A parallelogram is a quadrilateral with opposite sides parallel and therefore opposite angles equal.  Examples of parallelograms include rhombuses, rectangles, and squares.

So common characteristics of a parallelogram are:

While all angles in parallelogram are not congruent, so this is not a property of a parallelogram.

"

Complete question

Which property is not a characteristic of a parallelogram?

O A. Opposite sides are congruent.

B. All angles are congruent.

O C. Opposite sides are parallel.

D. Opposite angles are congruent.

"

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The area over which the signal is transmitted are: a.[tex]\pi[/tex] b. [tex]25\pi[/tex] c. CB transmits 25 times more signal to walkie talkie.

When two quantities of the same units are compared, the ratio shows how much of one quantity is included in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, while part to part ratio is the other.

The area of the circle is given by the formula:

[tex]A = \pi r^2[/tex]

For the walkie-talkie the signal is received up until 1 mile. Substitute the value of r = 1.

[tex]A _1= \pi (1)^2\\\\A_1 =\pi[/tex]

For the CB radio the signal is received up until 5 miles. Substitute the value of r = 5.

[tex]A_2 = \pi (5)^2\\\\A_2= 25 \pi[/tex]

a. The area over which a walkie-talkie can transmit its signal is [tex]\pi[/tex] miles.

b. The area over which a CB radio signal can transmit its signal is [tex]25\pi[/tex] miles.

c. The ratio of the transmitted signals are:

[tex]\frac{CB}{WT} = \frac{25\pi}{\pi} \\\\CB = 25 (WT)[/tex]

Hence, the CB signal transmits 25 times more than the signal transmitted by the walkie-talkie.

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n +2 represents that number is increasing by 2.

A horizontal line with evenly spaced numerical increments is called a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.

Given, n + 2

to put something with something else to increase the number or amount or to improve the whole: Beat the butter and sugar together and slowly add the eggs. She's added a Picasso to her collection.

that means the number is increasing by 2

Therefore, n +2 represents that number is increasing by 2.

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The situation in which the quantities combine to make 0 is "On Monday, Huang withdraws $30 from a bank account. On Friday, she deposits $30 into the account".

For two quantities two make 0, it is necessary to add two numbers with the same value but different sign (positive or negative). Here is an example:

For example if you buy 10 apples but use 10 apples to make a pie.

Based on this, the correct situation is "On Monday, Huang withdraws $30 from a bank account..." as -30 + 30 = 0.

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A circumference is not, first of all, calculated in square units. Square measurements can only be made for areas.

figuring out the circle's area:

find the circle's radius first

A circle's circumference is determined by

C = 2πr

Given that a circle has a 14π cm circumference

by entering C's value in the formula above, we obtain

14π = 2πr

Divide both sides by 2π

r = 7

Therefore, value of radius ( r ) is 7 cm

The circle's area is defined as :

A = π r^(2)

A = π ( 7 )^2

A = π ( 49 )

Consequently, the circle's area is

49π cm^2

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Answer:

Side length of square = -10b³ + 12

Step-by-step explanation:

Forming the equation,

→ P = 4 × side

→ P = 4a

→ [ a = P/4 ]

Now the side length of square is,

→ a = P/4

→ a = (-40b³ + 48)/4

→ a = (-40b³ ÷ 4) + (48 ÷ 4)

→ a = (-10b³) + (12)

→ [ a = -10b³ + 12 ]

Hence, side length is -10b³ + 12.

Answer:

-10b³ + 12

Step-by-step explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

As a square has four sides of equal length, the perimeter of a square is four times the length of one side.

Therefore, to find the expression for the side length of a square, simply divide the expression for the perimeter by 4.

[tex]\begin{aligned}\textsf{Side length of a square}&=\dfrac{\textsf{perimeter}}{4}\\\\\implies \textsf{Side length of the square}&=\dfrac{-40b^3+48}{4}\\\\&=\dfrac{-40b^3}{4}+\dfrac{48}{4}\\\\&=-10b^3+12\end{aligned}[/tex]

An earthquake with a Richter scale value of 4.0 is 10 times more powerful than one with a value of 3.0.

On the Richter scale, every whole-number rise in magnitude corresponds to a 10-fold increase in observed amplitude.

In order to evaluate the size of different earthquakes, the Richter scale was initially developed to quantify the magnitude of earthquakes of moderate size (i.e., magnitude 3 to magnitude 7). The scale was created for earthquakes that occurred in southern California, were detected by the Wood-Anderson seismograph, and had epicenters that were less than 600 km (373 miles) away from the seismograph's position.

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The rectangular pool has a width of 80 feet and a length of 68 feet. The area is 640 square feet and the length is 12 feet shorter than the width.

1. 640 divided by 12 = 53.33

2. 53.33 + 12 = 65.33

3. Width = 65.33 feet

4. Length = Width - 12 = 65.33 - 12 = 53.33 feet

The area of the rectangular pool is 640 square feet. To find the width, we divide 640 by 12 because the length is 12 feet shorter than the width. 640 divided by 12 gives us 53.33. We add 12 to this number to get the width of the pool, which is 65.33 feet. To find the length, we subtract 12 from the width, which gives us 53.33 feet. Therefore, the width of the pool is 65.33 feet and the length is 53.33 feet. The area of the pool is 640 square feet and the length is 12 feet shorter than the width.

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The equation Y = x + 95 shows that for each year increase in age, the systolic blood pressure increases by 15 mm hg.

1. Plot the data points on a scatter plot.

2. Draw a line of best fit that passes through as many data points as possible.

3. Calculate the slope of the line of best fit using the formula

m = (y2-y1) / (x2-x1).

4. For example, if the line of best fit passes through two points with coordinates (x1, y1) and (x2, y2), calculate the slope as:

m = (y2-y1) / (x2-x1).

5. The slope represents the increase in systolic blood pressure for each year of age.

The equation Y = x + 95 is a linear model that represents the relationship between age and systolic blood pressure. To calculate the increase in systolic blood pressure for each year of age, we can plot the data points on a scatter plot and draw a line of best fit that passes through as many data points as possible. The slope of this line of best fit is then used to calculate the increase in systolic blood pressure for each year of age. For example, if the line of best fit passes through two points with coordinates (x1, y1) and (x2, y2),

the slope can be calculated as

m = (y2-y1) / (x2-x1).

This slope represents the increase in systolic blood pressure for each year of age.

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The third stanza of Wilfred Owen's poem "Dulce et Decorum Est" is only two lines long, but it creates a gripping and powerful emotional impact.

Through the use of enjambment, the abrupt transition of the first line to the second creates an unsettling feeling, as if the speaker is struggling to express their thoughts and emotions. The imagery of the gas masks and the vivid depiction of the soldiers' "blood-shod" feet further amplify this emotion, providing a stark contrast to the ideals of glory and honor that the poem's title alludes to. This imagery also serves to evoke a feeling of despair and hopelessness, as the reader is confronted with the harsh realities of war. By using such a minimal amount of words, Owen is able to create an intense emotional effect that resonates with the reader and communicates a powerful message about the horrors of war.

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Answer:

40%

Step-by-step explanation:

65/165 = 65 divided by 165 = 0.4 = 40%

Answer:

The linear speed (V) is equal to 7 in/s.

The angular speed in rpm is equal to 4.77 rpm.

The angular speed in deg/s is equal to 28.65 deg/s.

Step-by-step explanation:

Answer:

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate.

We can see here that the different orders that she can wear the shorts is 25.

In mathematics, an order refers to the degree or highest exponent of a term in a polynomial equation. For example, the equation y = 3x^2 + 2x + 1 is a polynomial of order 2, because the highest exponent of x is 2.

In computer science, an order is a set of instructions for a computer to perform a specific task. For example, an order can be used to sort a list of numbers in ascending or descending order.

We see here that if the 5 pairs of basketball will go round on every day of the five days. Thus, it is: 5 x 5 = 25.

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The simplified form of the given expression is [tex]4x^2y^3[/tex].

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Depending on the abilities they possess, many rules of exponents are given.

Adding exponents while maintaining the same base is the rule for multiplying similar bases.

Exponents should be multiplied while bases are kept constant when bases are raised by a power of two or more.

Division Rule: When dividing similar bases, maintain the base constant and deduct the exponential of the denominator from the exponential of the numerator.

The given expression is:

[tex]\sqrt[4]{256x^8} * \sqrt[4]{y^{12}}[/tex]

The first term can be separated and written as follows:

[tex]\sqrt[4]{256} * \sqrt[4]{x^8} * \sqrt[4]{y^{12}}[/tex]

Using the identity [tex]\sqrt[n]{x^a} = x ^{\frac{a}{n} }[/tex] we can write the expression as:

[tex]4 * x ^{\frac{8}{4} } * y^{\frac{12}{4} }\\\\4x^2y^3[/tex]

Hence, the simplified form of the given expression is [tex]4x^2y^3[/tex].

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A graph of the solution of the inequality is: graph F.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given inequality by making x the subject of formula as follows;

x - 5 < 14

By adding 5 to both sides of the inequality, we have the following:

x - 5 + 5 < 14 + 5

x < 19

Note: The line on a number line should be open when the inequality symbol is greater than (>) or less than (<).

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The values within the range of the piecewise-defined function are

y = -6,  y = -4, y = 1 and y = 3.

A piecewise function, or f(x), is a function with various definitions at various intervals of x. A piecewise function's graph is divided into sections that each correspond to one of its definitions. A very good illustration of a piecewise function is the absolute value function.

Given f(x) = 2x + 3,   if x < -3

f(x) = x, if  x = -3

f(x) = -x - 2, if  x > -3

the function will be at x ≤ -3 and x ≥ -3

We now wish to determine which values fall within this function's range. Keep in mind that the set of possible outputs from a function constitutes its range.

The range of the first part of the function f(x) = 2*x + 2 has an upper bound at x = -3

f(-3) = 2*-3 + 2 = -6 + 2 = -4

Then the range of the first part is (-∞, -4)

Notice that the actual value -4 belongs to the range because x is smaller than and equal to -3.

The range of the second part has a lower bound for x = -3, the lower bound is:

f(-3) = -(-3) - 2 = 1

Then the range of this part is (1, ∞)

Then the range of the piecewise function is:

(-∞, -4) U (1, ∞)

and including -4 and 1

y = -6,  y = -4

y = 1,     y = 1

Hence values in the range are y = -6,  y = -4, y = 1, and y = 3.

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The given statement that "unpaid volunteer selling or serving alcohol at an event does not hold the volunteer to be civilly or criminally liable for selling/serving alcohol to an intoxicated person as far as the volunteer is TABC certified" is false because, under the TABC program, alcohol is prohibited to be served or sold to the intoxicated person.

The Texas Alcoholic Beverage Commission (TABC) does not prohibit alcohol to be served at private, invitation-only events in private residences, where there is no direct or indirect charge for that alcohol. However, TABC certification disallows to serve of alcohol to already dru-nk persons.

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The first detail is Washington's description of how he rose to the top of his class through hard work and dedication.

The first detail from Washington's narrative that supports the purpose of informing readers about the importance of hard work is how he rose to the top of his class through hard work and dedication. This is an example of how Washington himself was successful because of his hard work, and this encourages readers to follow in his footsteps. The second detail is Washington's emphasis on the importance of setting goals and working hard to them. This encourages readers to take initiative and work hard to reach their goals, which is a key part of any successful endeavor. Both of these details demonstrate the importance of hard work and the benefits it can bring, thereby supporting the purpose of informing readers about the importance of hard work.

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A magnitude 8 on the Richter scale is 100 times more ground shaking than one that measures 6 on the Richter scale.

The magnitude of an earthquake is determined using the logarithm of the amplitude (height) of the largest seismic wave, calibrated to a scale by the seismometer. The Richter scale was originally developed to measure the magnitude of moderate earthquakes (magnitude 3 to magnitude 7) by assigning numbers so that the magnitude of one earthquake can be compared to another. We have, maganitude of two earthquakes, 8 and 6 Let the magnitude of first earthquake be A and second be B . So, A = 8 , B = 6 , to compare two earthquakes in terms of shaking, you subtract one magnitude from the other and raise 10 to that power, 10⁽ᴹ ⁻ ᴹ´⁾

=> 10ᴬ⁻ᴮ = 10⁸⁻⁶ = 10² = 100

Hence, the magnitude 8 of one quakehas has shake the ground 100 times than the other with magnitude 6.

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