9. Composite Problem: To make wheat flour the following were blended: 20,000 lb of 12% protein wheat, 22,000 lb of 14% protein wheat, 16,000 lb of 10% protein wheat. a. How many lb of protein are in the final product? b. What is the % protein in the final product?

Answer:

H. the number of orchestra seat is 900

Step-by-step explanation:

Step one:

let the number of orchestra seat be x

and balcony seat be y

cost of orchestra= $50 each

cost of balcony =$40 each

total tickets= 1500

x+y= 1500----------1

amount earned= $69000

50x+40y=69000--------2

The system of equation for the situation is

x+y= 1500----------1

50x+40y=69000--------2

from 1, x=1500-y

put this in equation 2

50(1500-y)+40y=69000

75000-50y+40y=69000

-10y=69000-75000

-10y=-6000

divide both sides by -10

y=-6000/-10

y=600

put y= 600 in equation 1

x+600= 1500

x=1500-600

x=900

Answer:

f(–6) = 10

Step-by-step explanation:

EDGE

f(-6)=10 is the true option regarding the function.

The function is a relationship between a set of inputs with a set of outputs such that one input cannot have two outputs.

General form of a function is f(x)=y

The ordered pairs (x,y) or (x,f(x)) represent the graphical points of a function in the coordinate plane.

The given function is given by the set of ordered pairs

(x,y)={(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}

Clearly f(-6)=10 is the only correct option.

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The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

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The vectors is perpendicular to (-4,2) will be (b) (-1,-2)

The dot product of two vectors is found by multiplying the corresponding components of the vectors and adding the results. which is, if the two vectors are (a, b) and (c, d), their dot product is ac + bd.

To calculate the dot product of (-4, 2) with each of the given vectors:

a) (-3.6):

(-4)(-3.6) + (2)(-3.6) = 14.4 - 7.2 = 7.2

b) (-1, -2):

(-4)(-1) + (2)(-2) = 4 - 4 = 0

c) (2, -3):

(-4)(2) + (2)(-3) = -8 - 6 = -14

d) (4, -8):

(-4)(4) + (2)(-8) = -16 - 16 = -32

Therefore, the vector that is perpendicular to (-4, 2) is option (b) (-1,-2).

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Answer and Step-by-step explanation:

To find the length of AB, we have to use Distance Formula.

Distance Formula takes two points on a graph, and puts it into the following formula to calculate the distance between those two points.

The formula:

D = \(\sqrt{(x_{2} - x_1)^2 + (y_2 - y_1)^2 }\)

Where:

D = The Distance between two points

\(x_2\) = The x value of the second point

\(x_{1}\) = The x value of the first point

\(y_2\) = The x value of the second point

\(y_{1}\) = The x value of the first point

Point A will be the first point and point B will be the second point. All we have to do now is plug those points into the formula and solve.

\(\sqrt{(10 - 5)^2 + (0 - 10)^2 }\\\\\\\\\sqrt{(5)^2 + (- 10)^2 }\\\\\\\\\sqrt{25 + 100 }\\\\\\\\\sqrt{125}\\\\\\\\\sqrt{125} = 5\sqrt{5}\)

The length of side AB is \(5\sqrt{5}\) units, or 11.18 units.

I hope this helps!

#teamtrees #PAW (Plant And Water)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.

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Answer:

m=-1/3

Step-by-step explanation:

The slope of this line is m=-1/3 because if you use the slope-intercept formula, y=mx+b, m is the slope. If you take this equation and plot two points on a line that has this equation, the slope will be negative if the line forms an obtuse angle on the 0 line. In this case, m=-1/3 as the line goes back 1/3 unit for every unit in this equation. Hope it helps!

Answer:  the slope is -0.33...   The does means that 3 is repeating.

Step-by-step explanation:

First we will convert the equation into slope intercept form, which is the same way of solving for y in the equation.

1.5x + 4.5y = 18     Solve for y by first subtracting 1.5x from both sides

-1.5x               -1.5x

4.5y  = 18 - 1.5x     Now divide both sides by 4.5

y= 4- 0.33x

y= -0.33x + 4    Now the slope is the coefficient of the variable x which is the number that comes after the variable.

In this case, the slope is -0.33...

Answer:

(2x+3)(x+2)

100% its the right answer

Step-by-step explanation:

We want to find

M: the number of muffins the bakery sold and

P: the number of pizza pies the bakery sold a certain day

Since, the bakery sold a total of 40 muffins and pizza pies together, then

M + P = 40

We know that the bakery sells 3 muffins for every 5 pizza pies, that is

3M = 5P, then

M = 5P/3

Replacing M in the first equation

M + P = 40

5P/3 + P = 40

3 · (5P/3 + P) = 3 · 40 [Multiplying by 3 both sides]

5P + 3P = 120 [Distributing the multiplication]

8P = 120 [5 + 3 = 8]

P = 120/8

P = 15

Since M = 5P/3 and P = 15, then

M = 5 · 15 /3 = 5 · 5

M = 25

Answer:

Ima just makes this simple for you.

Muffins:        3      6       9      12      15

Pizza Pies:    5     10     15     20     25

Total:             8     16     24     32     40

Answer:

41.90476190476

Step-by-step explanation:

since volume of cone is one third multiplied by pi and radius square(r²) multiplied by height

The perimeter of the rectangle is approximately 208.9 meters.

To find the perimeter of the rectangle, we need to know the length of the other side.

Let's use the formula for the area of a rectangle:

area = length x width

We know that the area is 717.8 m^2 and one of the sides (width) is 7.4 m. So we can rearrange the formula to solve for the length:

length = area / width

length = 717.8 / 7.4

length ≈ 97.05 m

Now we have both the length and width of the rectangle, so we can find the perimeter:

perimeter = 2 x (length + width)

perimeter = 2 x (97.05 + 7.4)

perimeter = 2 x 104.45

perimeter = 208.9 m

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INDUCTIVE REASONING uses sample results to make generalization about the population.

The reasoning method that uses sample results to attempt to make generalizations about the population is called "inductive reasoning." In this method, you gather data from a sample and then use it to draw conclusions about the entire population. The steps involved in this process are:
1. Collect a sample from the population.
2. Analyze the sample data to find trends or patterns.
3. Use the trends or patterns observed in the sample to make generalizations about the entire population.

Inductive reasoning is a powerful tool in many fields, including science, statistics, and social sciences, as it allows us to make informed decisions based on limited data. However, it is important to remember that the accuracy of the generalization depends on the quality of the sample and the size of the sample.

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A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{x\;-\;u}{\delta}\)

Where:

Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.

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Complete Question:

Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?

a.) it falls in the general region of the population

distribution

b.) it falls in the common region of the distribution

c.) it is likely to come from the healthy distribution

d.) it is unlikely to come from the healthy distribution

Answer:

x = 7

Step-by-step explanation:

The sum of exterior angles in a polygon is 360°.

( 11x - 5 )° + ( 4x + 29 )° + ( 6x + 13 )° + ( 9x - 15 )° + 67° + 61° = 360°

30x + 22 + 128 = 360

30x = 210

x = 7

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

The apothem of a regular polygon is the perpendicular distance from the center of the polygon to any one of its sides because it serves as a measure of the inradius, or the radius of the circle inscribed within the polygon. In a regular polygon, all sides are congruent and all interior angles are equal, so the apothem is the same for all sides.

To see this, imagine drawing radii from the center of the polygon to each vertex, and then drawing the perpendicular bisector of each side. These perpendicular bisectors will all intersect at the same point, which is the center of the polygon. The apothem is the length of the line segment connecting this center point to any one of the sides of the polygon.

The apothem is useful in finding the area of a regular polygon. By using the formula for the area of a regular polygon in terms of the apothem and the number of sides, one can find the area of a regular polygon without having to find the exact shape of the polygon.

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Answer:

Step-by-step explanation:

\(26) tan \ 56 =\dfrac{opposite \ side }{adjacent \ side}\\\\\\ 1.4826 = \dfrac{BC}{12}\\\\\\1.4826*12 = BC\)

BC = 17.8 cm

\(27) Cos \ x =\dfrac{adjacent \ side}{hypotenuse}\\\\Cos \ x = \dfrac{15}{18}\\\\\\Cos \ x = 0.83\\\\x = Cos^{-1} \ (0.83)\\\\\)

x = 33.9°

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The length L of an edge of each small cube if adjacent cubes touch but don't overlap is 3.45 nm.

The formula to be used for calculation is -

PV = Nkt, where P is pressure, V is volume, N is number of molecules, k is Boltzmann constant and T is temperature in Kelvin.

T = 273 + 27

Performing addition on Right Hand Side of the equation

T = 300 K

P = 101325 Pa

k = 1.38 × \( {10}^{-23} \) J/K

Now finding the volume

V = (1 × 1.38 × \( {10}^{-23} \) × 300)/101325

Performing multiplication and division on Right Hand Side of the equation

V = 4.09 × \( {10}^{-3} \) m³

As we know, V = L³

So, L = \( {V}^{1/3} \)

Keep the value of volume

L = \( { (4.09/1000) }^{1/3} \)

Performing calculations

L = 3.45 × \( {10}^{-9} \) m

Hence, length is 3.45 nm.

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The formula for the volume of an sphere of radius r is given as follows:

V = (2/3)πr³  

The radius as a function of the volume is obtained as follows:

r³ = 3V/2π

\(r = \sqrt[3]{\frac{3V}{2\pi}}\)

Hence the radius of a sphere of volume 25 in³ is given as follows:

\(r = \sqrt[3]{\frac{25}{2\pi}}\)

r = 2.29 in.

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Answer:

y=7/4x+7

Step-by-step explanation:

42 red blood cells are needed to make a line 1 inch long

The diameter of a red blood cell is 6 x \(10^{-6}\) m,

so we need to determine how many cells can fit in a

line 1 inch long (2.54 x\(10^{-5}\) m).

Dividing the length by the diameter gives the number of cells:

2.54 x \(10^{-5}\) m / 6 x \(10^{-6}\) m = 42.33.

So, approximately 42 red blood cells are needed to make a line 1 inch long.

This highlights the small size of red blood cells and the remarkable ability of the human body to produce and maintain billions of these cells for proper blood circulation and oxygen delivery.

Red blood cells, also known as erythrocytes, are one of the main types of blood cells. They are biconcave discs with a diameter of about 7.5 micrometers, and their primary function is to transport oxygen from the lungs to the tissues and carbon dioxide from the tissues to the lungs.

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The ratio of the surface area of the front of a person to the total surface area of a sphere with a radius of 2 meters is 1/8.

To calculate the ratio of the surface area of the front of a person to the total surface area of a sphere with a radius of 2 meters,

Determine the specific dimensions of the person and assume that they are approximately spherical in shape.

Since no specific measurements are provided, let us make a general estimation.

Assuming that the person is standing upright with their arms at their sides and their front facing forward,

we can approximate their shape as a hemisphere (half of a sphere) with a diameter equal to their shoulder width.

The surface area of a sphere with radius r is given by the formula,

A = 4πr²

The surface area of a hemisphere is half of the surface area of a full sphere:

Area of hemisphere = (1/2) ×  Area of a sphere

Now, let us calculate the surface area of a sphere with a radius of 2 meters.

Surface area of the front of the person's body,

Assuming the person's shoulder width is approximately 50 cm (0.5 meters),

Area of the front

= (1/2) × Area of sphere

= (1/2) × 4πr²

= (1/2) × 4π(1)²

= 2π square meters

Total surface area of a sphere with a radius of 2 meters,

Area of a sphere

= 4πr²

= 4π(2)²

= 16π square meters

Now, calculate the ratio,

Ratio

= Area of a front / Area of a sphere

= (2π) / (16π)

= 1/8

Therefore, ratio of surface area of the front of a person to the total surface area of a sphere is equal to 1/8.

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Answer:

28 hours for 15 toy bears

Step-by-step explanation:

hope this helps

Answer:

C. x = 1

Step-by-step explanation:

When we have an undefined slope, we have a vertical line of x = [a number]. This isn't a function and we have an undefined slope because we don't know what m equals in y = mx + b.

Answer:

4/15 was left over from is salary.

Step-by-step explanation:

Common denominator is 15. 5/15+6/15= 11/15.

15/15-11/15= 4/15.

If Mr Hassan spent 1/3 of his salary on food and 2/5 of the remainder on transport then 4/15  fraction of his salary was left.

A fraction represents a part of a whole.

Let us consider the salary of Hassan as 1.

Mr Hassan spent 1/3 of his salary on food

2/5 of the salary on transport.

We need to find the fraction of his salary left.

We need to subtract 1/3 and 2/5 from 1

1-1/3-2/5

LCM of 3 and 5 is 15

15-5-6/15

4/15

Hence, 4/15 is the fraction of Hassan salary was left

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Answer:

\(\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}\)

Step-by-step explanation:

Let x represent the total time spent calling and f(x) represent the charges.

Since Tracy is charged $29 for 250 free minutes, hence:

For x ≤ 250, f(x) = $29

Tracy is charged an extra $0.35 per minute for calls over 250 minutes, hence:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

Therefore this can be represented by the piecewise function:

f(x)=  \(\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}\)

Answer:

3y^3-9y^2+6y

Step-by-step explanation:

= 3y^3-9y^2+6y