Solve, use a table: If 5 pounds of a baking mixture "A" that is20%powdered sugar is added to 11 pounds of another mixture "B" to make 16 pounds of a mixture that is24%powdered sugar, then what percent powdered sugar was mixture "B" ?

With an APR of 6.75% over a 20-year period, the annual payment for the loan will be $81,371.52.

To find the annual payment for the loan, we need to first find the total cost of the land and the amount of the loan.

Total cost of the land = 245 acres x $4,700/acre = $1,151,500

Down payment = 25% of total cost = 0.25 x $1,151,500 = $287,875

Loan amount = Total cost - Down payment = $1,151,500 - $287,875 = $863,625

Next, we need to use the loan amount, APR, and loan term to find the annual payment. We can use the following formula:

Annual payment = (Loan amount x APR) / (1 - (1 + APR)^(-Loan term))

Plugging in the values we have:

Annual payment = ($863,625 x 0.0675) / (1 - (1 + 0.0675)^(-20))

Annual payment = $58,294.69 / (1 - 0.2837)

Annual payment = $58,294.69 / 0.7163

Annual payment = $81,371.52

Therefore, the annual payment for the loan is $81,371.52.

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Answer:

1286.3934 kg

Step-by-step explanation:

Convert 153% to a decimal:

153 / 100 = 1.53

Multiply 840.78 by 1.53:

840.78 * 1.53 = 1286.3934

Answer:

= 1/2

Step-by-step explanation:

the slope or the gradient (m)

[tex] \frac{y1 - y2}{x1 - x2} [/tex]

the points is (6,1) and (-6,-5)

therefore

[tex] \frac{1 - ( - 5)}{6 - ( - 6)} \\ = \frac{1 + 5}{6 + 6} \\ = \frac{6}{12} \\ = \frac{1}{2} [/tex]

therefore the slope of the line is 1/2

a) Tοtal cοst C(x) = 200x + 1500

   Revenue cοst R(x) = 300x

The definitiοn οf an equatiοn in algebra is a mathematical statement that demοnstrates the equality οf twο mathematical expressiοns. Fοr instance, the equatiοn 3x + 5 = 14 cοnsists οf the twο equatiοns 3x + 5 and 14, which are separated by the 'equal' sign.

Let x be the number οf scοοters.

It cοsts yοu $1500 fοr tοοls and equipment tο get started, and the materials cοst $200 fοr each scοοter.

Here fixed cοst = $1500 and variable cοst = $200

We knοw that cοst functiοn = variable cοst per unit + fixed cοst

Cοst functiοn :

C(x) = 200x+1500

Yοur scοοter sell fοr $300

Revenue functiοn :

R(x) = 300x

(b) The sοlutiοn means

When yοu start a business assembling initial cοst is $1500 fοr tοοls and equipment.

The material cοst will increase $200 fοr each number οf scοοter increases.

The revenue will increase $300 fοr each number οf scοοter increases.

c) Let us take number οf scοοters x=50

Then cοst C(50)=200*50+1500 = 10000+1500=$11500

Revenue Cοst R(50)=300*50=$15000

Then prοfit = Revenue- cοst = 15000-11500 = $3500.

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The solution is, the measure of the, inscribed angle: 30°, and,

central angle: 60°.

The solution are,

the measure of angle C is 52°

the measure of angle B is 52°

the measure of angle BSD is 71°

the measure of angle CSE is 71°

the measure of angle E is 57°

the measure of arc BC 57°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

The central angle is double the inscribed angle for the same intercepted arc.

Since doubling the angle adds 30° to it,

the original inscribed angle must be 30°.

so, we get,

Then the central angle is 30°+30° = 2·30° = 60°.

The solution are,

the measure of angle C is 52°

the measure of angle B is 52°

the measure of angle BSD is 71°

the measure of angle CSE is 71°

the measure of angle E is 57°

the measure of arc BC 57°.

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Answer: y > 2/5x - 4

Step-by-step explanation:

The slope intercept form is y = mx + b

To get the inequality to that, we have to get y alone.

Starting:

2x - 5y < 20

Subtract 2x from each side leaves you:

- 5y < -2x + 20

Dividing by -5 leaves you:

(Remember that when dividing by a negative in an inequality, the sign flips.)

y > 2/5x - 4

Hope this helps!

It will take 62 minutes for the printer to print 93 cards.

We are given the equation p=1.5m, where p represents the number of cards printed and m represents the time in minutes. We can use this equation to find out how many minutes it will take to print 93 cards.

First, we can substitute p=93 into the equation:

93 = 1.5m

Next, we can solve for m by dividing both sides of the equation by 1.5:

m = 93 / 1.5

m = 62

We can verify this answer by plugging in m = 62 into the original equation and checking that we get p = 93:

p = 1.5m

p = 1.5(62)

p = 93

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The complete question is:

The equation p = 1.5m represents the rate at which the printer prints cards where p represents the number of cards and m represents minutes. How many minutes will it take the printers to print 93 cards?

Answer: The answer t your question is the second one

Step-by-step explanation:

8 is an abelian group.

The maximum possible order of an element in the group ????8 is 8. No, ????8 is not a cyclic group, as the only cyclic group of order 8 is a group with one element. However, ????8 is an abelian group. An abelian group is a group in which the result of the group operation is independent of the order of its operands.

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Answer: Y=-3X+5

Step-by-step explanation:

Slope intercept form is Y=mx+b where m is slope and b is slope intercept to graph you can use desmos which is a free graphing calculator just punch in the equation exactly as I gave it. since m is slope it is -3 and b is y intercept so 5 so Y=-3x+5

Answer:

y = -3x + 5

Step-by-step explanation:

y = mx + b  The m is the slope and the b is the y intercept.  Substitute in the slope and the y-intercept

y = -3x + 5

First, graph the y-intercept.  That will be at the point (0, 5).  From that point, go down 3 units and then go one unit right.  You will be back on the line.  That is the slope.

Helping in the name of Jesus.

The equation for the line that passes through the point (-1,4) and that is parallel to the line with the equation y=2 is y=4.

To find the equation for the line that passes through the point (-1,4) and that is parallel to the line with the equation y=2, we need to use the concept of slope. The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line.

The equation y=2 is a horizontal line, which means that its slope is 0. Since the line we are looking for is parallel to this line, its slope will also be 0.

Now that we know the slope, we can use the point-slope form of an equation to find the equation of the line. The point-slope form of an equation is [tex]y-y1=m(x-x1)[/tex], where m is the slope and [tex](x1,y1)[/tex] is a point on the line.

Plugging in the values we know, we get:

[tex]y-4=0(x-(-1))[/tex]

Simplifying the equation, we get:

[tex]y-4=0[/tex]

Adding 4 to both sides of the equation, we get:

[tex]y=4[/tex]

So the equation for the line that passes through the point (-1,4) and that is parallel to the line with the equation y=2 is [tex]y=4[/tex].

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Answer:

Step-by-step explanation:

it's -4.89279003

The solutions to the equation are x=1.25 and x=0.5. These are the values of w that make the equation true.

To solve the quadratic equation [tex]8w^(2)-14w+5=0[/tex] using the quadratic formula, we first need to identify the values of a, b, and c. In this case, a=8, b=-14, and c=5. The quadratic formula is:

[tex]x = (-b ± √(b^(2)-4ac))/(2a)[/tex]

Plugging in the values of a, b, and c, we get:

[tex]x = (-(-14) ± √((-14)^(2)-4(8)(5)))/(2(8))[/tex]

Simplifying the equation, we get:

x = (14 ± √(196-160))/16

x = (14 ± √36)/16

x = (14 ± 6)/16

Now we can solve for the two possible values of x:

x = (14+6)/16 = 20/16 = 1.25

x = (14-6)/16 = 8/16 = 0.5

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Answer:

Step-by-step explana2 4

457

6.46

a) Measure of fourth angle of quadrilateral diamond is equals to the 120°.

b) The measures of other two angles

of rhombus are equal to the 30° and 110°.

A polygon is a flat or plane figure that is described by a finite number of straight line segments ( not curves) connected to form a closed figure. The bounded plane region is known as a polygon. The finite line segments of a polygon are called its edges or sides. We have a round center cut diamond.

a) Three angles of the quadrilateral are of measure 60°, 70°, 110°. Let the fourth angle of quadrilateral be 'x degrees'. As we know, the Sum of all interior angles of a quadrilateral = 360°

=> 60° +70° + 110° + x = 360°

=> 240° + x = 360°

=> x = 360° - 240°

=>x = 120°

b) We have measure of two angles of the rhombus are 30°, 110°. Let the measure of other two angles be 'a degrees' and ' b degree'. As we know, tge Opposite angles of rhombus are equal

⇒ a = 30°

⇒ b = 110°

Hence, required measure of angles are 30° and 110°.

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Complete question:

2. Brilliance measures the amount of light that passes into the diamond and reflects out from its internal surfaces. A round center cut diamond is shown.

a) Outline one irregular quadrilateral in the diamond. The measure of three of the

angles of one of the irregular quadrilateral facets of the diamond are 60°, 70°,and 110°. What is the measure of the fourth angle? Explain your reasoning.

b) Outline one rhombus in the diamond. The measure of two of the angles of one of the rhombus facets of the diamond are 30° and 150°. What are the measures of the other two angles? Explain your reasoning.

The maximum allowable emissions in the year 2040 for this country is 2,076.4 Mt if they reduce their emissions by 2% per year.

percentage, a relative value indicating hundredth parts of any quantity.

To calculate the maximum allowable emissions in the year 2040, we need to find the emissions in 2040 if they are reduced by 2% per year from 2022 emissions.

First, we need to calculate the reduction in emissions per year:

2% of 3,290 Mt = 0.02 x 3,290 Mt = 65.8 Mt

This means that each year, emissions need to be reduced by 65.8 Mt.

To calculate the emissions in 2040, we need to know how many years there are between 2022 and 2040:

2040 - 2022 = 18 years

So, the emissions in 2040 will be:

3,290 Mt - (18 x 65.8 Mt) = 2,076.4 Mt

Therefore, the maximum allowable emissions in the year 2040 for this country is 2,076.4 Mt if they reduce their emissions by 2% per year.

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Answer:

To calculate the ending balance, we can use the following formula:

Ending Balance = Principal x (1 + Interest Rate x Time)

Given:

Principal = $7,900

Interest Rate = 1.9%

Time = 2 3/4 years

Therefore,

Ending Balance = $7,900 x (1 + 0.019 x 2.75) = $8,084.60

Answer: 8319.66994

Step-by-step explanation:

your initial x your interest all raised to your time interval.

7,900(1+.019)^2.75

The graph is symmetric about the y-axis, so its a even function.

EVEN function:

ODD function:

Thus, the graph is symmetric about the y-axis, so its a even function.

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Answer:

  E.  ∆ABE is isosceles

Step-by-step explanation:

Given ∠BAD ≅ ∠BED in ∆ABE you want to know what can be concluded.

An isosceles triangle has sides of equal measure opposite angles of equal measure. The base angles A and E in triangle ABE are given as congruent, so we can conclude ∆ABE is isosceles.

No, the set of vectors x, x + 3x², x³, x² does not span P[x].

To span P[x], a set of vectors must be able to generate any polynomial in P[x] through a linear combination of the vectors in the set. However, the set given only includes polynomials of degree 1, 2, and 3. This means that it cannot generate polynomials of degree 0 (constants) or polynomials of degree 4 or higher.

For example, the polynomial 5 cannot be generated from a linear combination of the vectors in the set, as there are no constants in the set. Similarly, the polynomial x⁴ cannot be generated, as there are no vectors of degree 4 or higher in the set.

Therefore, the set of vectors x, x + 3x², x³, x² does not span P[x].

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The  (√12 - √3)² = 6 according to the provided assertion.

Why do you use the word "binomial"?

A Binomial is a name for an algebraic equation with only two elements. It is a polynomial with two terms. It is also referred to as the total or difference of two or more binomials. It is a polynomial's most basic shape.

To expand and simplify the expression (√12 - √3)², we can use the formula for the square of a binomial:

(a - b)² = a²  + b² - 2ab

In this case, a = √12 and b = √3, so we have:

(√12 - √3)² = (√12)² - 2(√12)(√3) + (√3)²

To simplifying, we have:

(√12 - √3)² = 12 - 2√36 + 3

Since √36 = 6, we can simplify further:

(√12 - √3)² = 12 - 2(6) + 3 = 6

Therefore, the expanded and simplified equation (√12 - √3)² = 6.

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Binomial and Normal distributions are two different types of probability distributions that are commonly used in statistics. Both distributions involve a set of possible outcomes, and the probability associated with each outcome.

The Binomial Distribution is used for discrete data such as coin flips, the number of defective items in a production run, and the number of wins and losses in a series of games. It is used with the formula P(x;n,p) and the techniques of probability, permutations, and combinations.

The Normal Distribution is used for continuous data such as height, weight, IQ scores, and test scores. It is used with the formula P(x;μ,σ) and the techniques of statistics, standardization, and z-scores.

Both distributions have the same basic shape and the same basic idea of a probability of a certain outcome. The main difference between them is that the Binomial Distribution is discrete and the Normal Distribution is continuous.

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vector u can be written as a linear combination of the vectors in set S with the scalars a = 1 and b = 0.

To write vector u as a linear combination of the vectors in set S, we need to find scalars a and b such that:

u = a[1] + b[0]

Substituting the values of vector u and the vectors in set S into this equation, we get:

[1] = a[1] + b[0]

This equation can be simplified to:

[1] = [a] + [0]

Since the scalar b is being multiplied by the zero vector, it will always equal the zero vector, and can therefore be eliminated from the equation. This leaves us with:

[1] = [a]

We can see that the scalar a must equal 1 in order for this equation to be true. Therefore, vector u can be written as a linear combination of the vectors in set S as follows:

u = 1[1] + 0[0]

In conclusion, vector u can be written as a linear combination of the vectors in set S with the scalars a = 1 and b = 0.

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a) The cost function can be represented as C(x) = 6 + 1.180x for the first 20 units and C(x) = 6 + 1.180(20) + 0.806(x-20) for units over 20.

b) The total charge for using 15 units is C(15) = 6 + 1.180(15) = $23.70.

c) If the total charge is $73.93, we can use the cost function to solve for the number of units used.

The graph of the cost function will have a linear portion for the first 20 units and then another linear portion with a different slope for units over 20.

The average charge is $23.70/15 = $1.58 per unit.

Since the total charge is greater than the cost for the first 20 units, we know that more than 20 units were used. We can use the second part of the cost function to solve for x:

73.93 = 6 + 1.180(20) + 0.806(x-20)
73.93 = 30.6 + 0.806x - 16.12
73.93 - 30.6 + 16.12 = 0.806x
59.44 = 0.806x
x = 73.69 units
Therefore, 73.69 units were used.

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a. The width of the rectangle is 28 cm

b. The width of the rectangle is 13.8 cm

A rectangle is  with four sides in which two sides are parallel and equal.

a. The width of the rectangle

Let

since the length of the rectangle is 80 cm and the length is 4 less than triple its width, we have that its width is L = 3W - 4

Making W subject of the formula, we have that

W = (L + 4)/3

Since L = 80 cm

W = (L + 4)/3

= (80 cm + 4 cm)/3

= 84 cm/3

= 28 cm

The width is 28 cm

b. The width of the rectangle

Since the length of the rectangle is 66 cm and the length is 3 less than five times its width, we have that its width is L = 5W - 3

Making W subject of the formula, we have that

W = (L + 3)/5

Since L = 66 cm

W = (L + 3)/5

= (66 cm + 3 cm)/5

= 69 cm/5

= 13.8 cm

The width is 13.8 cm

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Answer: true, true, false, true

Step-by-step explanation:

1 True- 2 is a prime number

2- True 2 is a prime number

3 False 2,3,5,7 can be prime numbers as well

4 True 2 is a prime number

Answer:

16 percent decrease

Step-by-step explanation:

[tex]\textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] ~\dotfill\\\\ x^3+\cfrac{1}{8}\implies x^3+\cfrac{1^3}{2^3}\implies x^3+\left( \cfrac{1}{2} \right)^3~\hfill \stackrel{\textit{let's just for a second make}}{\cfrac{1}{2}=a} \\\\\\ x^3+a^3\implies (x+a)(x^2-ax+a^2)\implies \left( x+\frac{1}{2} \right)\left( x^2-\frac{x}{2}+\frac{1}{4} \right)[/tex]

Answer:

+- .35

Step-by-step explanation:

8x² - 1 = 0

8x² = 1

x² = 1/8

x = √1/8

x = +- .35