Evaluate. 12⋅(1/4+1/3)to the power of2+2/3 Enter your answer as a mixed number in simplest form by filling in the boxes.

Answer:

x = 61/2 = 30.5 = 60 1/2

Step-by-step explanation:

We have:

We have to find the Least Common Multiple to solve this question:

STEP - BY - STEP EXPLANATION

What to do?

Apply the distributive property on the given expression.

Given:

Step 1

Explain what the distributive property mean.

Distributing -1 implies multiplying -1 by each term.

Step 2

Apply the distributive property.

ANSWER

-6v + 4u +1

The piecewise function on the graph is,

f(x) = {  1 -3x ; if x ≤ 2

        { 4-x    ; if x > 2

The graph of a piecewise function is given. The left function is defined on the interval x ≤ 2 and the right function is defined on the interval x > 2.

To find the functions we need two points on each function since both functions are straight lines.

First we will find the left function defined on x ≤ 2.

So the two points are (x₁, y₁) = (0,1) and (x₂, y₂) = (2, -5).

Now slope of the left function, m₁ = (y₂ - y₁)/(x₂ - x₁)

                                                        = -5 - 1/2 - 0

                                                        = -6/2

                                                        = -3

So the equation of the left function is,

y - y₁ = m(x-x₁)

⇒ y - 1 = -3(x-0)

⇒ y = 1 -3x

Thus the left function is f(x) = 1 -3x

Consider the right function.

The two points on the graph of the right function are (x₁, y₁) = (4,0) and (x₂, y₂) = (6, -2).

So slope of the second function, m₂ = (y₂ - y₁)/(x₂ - x₁)

                                                            = -2 - 0/6-4

                                                            = -2/2

                                                            = -1

Now equation for the right function is,

y - y₁ = m(x-x₁)

⇒ y - 0 = -1(x-4)

⇒ y = 4 -x

So the right function is f(x) = 4-x

Hence the piecewise function is,

f(x) = {  1 -3x ; if x ≤ 2

        { 4-x    ; if x > 2

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Answer:

me again. hope it can help.lol

Answer:

See below

Step-by-step explanation:

For this equation to have non-real roots, the discriminant (b^2 - 4ac)  of the Quadratic Formula must be <  zero

b^2 - 4ac < 0       b = 5      a = (n-2)       c = -2

5^2 - 4 ( n-2)(-2) <0

25 + 8n - 16 <0

8n + 9 < 0

8n < -9

n < - 9/ 8

The values a = 10 and b = -6  will make the quadrilateral QRST a parallelogram

For the quadrilateral QRST to be a parallelogram, the diagonal lines TR and QS divide each other into two equal parts at P. Therefore, we can say:

For diagonal line QS, QP = PS:

-a + 27 = -6a + 77

-a + 6a = 77 -27

5a = 50

a = 50/5

a = 10

For diagonal line TR, TP = PR:

2b + 24 = -8b - 36

2b + 8b = -36 - 24

10b = -60

b = -6

Therefore, the value of a and b that will make the quadrilateral QRST a parallelogram is a = 10 and b = -6.

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Given the equation:

Let's solve for x.

To find the solution, take the following steps:

Step 1:

Apply the product property of logarithm to the left side of the equation:

Step 2:

Eliminate the log on both sides

Step 3:

Subtract x from both sides

Step 4:

Divide both sides by 2

Therefore, the solution to the given equation is:

ANSWER:

Answer:

644

Step-by-step explanation:

-4x23=-92

-92x-7=644

hope this helped :)

Answer:

644

Step-by-step explanation:

if you multiply -4 by 23 it equals -92 and then if you multiply -92 by -7 it comes out to a positive 644 because if multiplying a negative by a negative it becomes a positive.

thank you for your question and let me know if it is right or wrong

blessings!

The dimensions of the enclosure that can be erected at minimum cost are 21.25 feet by 42.50 feet

From the question, the given parameters are

Area = 903 square feet

Shape = rectangle

From the question, we understand that:

One side of the area would be enclosed by the external wall of the store

If the dimensions of the area are Length (L) and Width (W), then we have

Area = LW

Perimeter = 2L + W

Rewrite as

A = LW

P = 2L + W

Substitute 903 for A in A = LW

LW = 903

Make W the subject

W = 903/L

Substitute W = 903/L in P = 2L + W

P = 2L + 903/L

Differentiate the equation

So, we have

P' = 2 - 903/L²

Set to 0

2 - 903/L² = 0

So, we have

903/L² = 2

This gives

L² = 903/2

Divide

L² = 451.5

Take the square roots

L = 21.25

Substitute L = 21.25 in W = 903/L

W = 903/21.25

Evaluate

W = 42.50

Hence, the dimensions of the enclosure are 21.25 feet by 42.50 feet

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The function rule of the scenario is f(x) = 15 + 8x

From the question, the given parameters are:

Flat fee = $15

Rate = $8

To determine the function rule of the scenario, we make use of the following template equation

f(x) = Flat fee + Rate * Number of hours

Where

f(x) = total and x = number of hours

So, we have

f(x) = Flat fee + Rate * x

This gives

f(x) = 15 + 8x

Hence, the function rule is f(x) = 15 + 8x

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Answer: 4^3

Step-by-step explanation:

Answer: 4^3.

Step-by-step explanation:

Answer:

Based on the results above, the slope of the tangent line to the curve at P(25,10) is 0.1.

Explanation:

P(25, 10) lies on the curve:

Q is the point (x, √x+5).

For any value of x, the slope of the secant line PQ is determined using the formula:

(a)When x=25.1

(b)When x=25.01

(c)When x=24.9

(d)When x=24.99

Based on the results above, the slope of the tangent line to the curve at P(25,10) is 0.1.

(9¹²)⁷

Use the rules of exponents to simplify the expression. To raise a power to another power, multiply the exponents.

9¹² ˣ ⁷

Multiply 12 by 7.

9⁸⁴

Answer: 9^84 is the answer!

Step-by-step explanation:

Answer:

19π/12

Explanation:

We know that

180 degrees = π radians

and we are asked

285 degrees = ? radians?

This can be treated as a ratio problem by saying that

where x is the angle in radians.

Cross multpication gives

dividing both sides by 180 gives

where we have used the fact that 285/12 = 19/12.

If the average number of babies born at a private hospital's maternity wing is 6 per hour. The probability that three babies are born during a particular 1-hour period in this maternity wing is 0.09.

Mean = 6 per hours

Number of babies = 3 babies

Hence,

Now let determine the probability

Let x represent the probability

Pr(X=3) = e^-6 × 6^3 ÷ 3!

Pr(X=3) =0 .535410 ÷ 6

Pr(X=3) = 0.089

Pr(X=3) =0.09 (Approximately)

Therefore we can conclude that 0.09 is the probability.

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The given expression is

To add 2 fractions we have to give them the same denominators

In the up part (numerator) we have 2 different denominators a and b

Then the common denominator of the 2 fractions must be the product of them

Then the fraction will be

Now, we will multiply the denominator of up by the denominator of the first fraction (ab x b)

Multiply b by b to simplify, then

The numerator is 2b + 7a

The denominator is ab^2

Answer: The number of baskets = (3n+1)/m

Step-by-step explanation:

The total number of apples picked:

yours (2n-3)  + your friend (n+4)

Divide the combined total by the number in one basket (m):

((2n-3)+(n+4))/m

Simplify:

(3n+1)/m

Slavery and oppression of other people impact others as it brings about discrimination and fear.

In the olden days, slavery was so lucrative that the Mississippi River valley produced more millionaires per capita than any other region of the country. With cash crops like tobacco, cotton, and sugar cane, the southern states of America developed into the country's economic engine.

In Africa, the slave trade had a terrible impact. A culture of lawlessness and violence was encouraged by the financial incentives provided to warlords and tribes to participate in the slave trade. Economic and agricultural development in a large portion of western Africa was virtually impossible due to depopulation and a persistent fear of enslavement.

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Answer:

You actually cannot find Y using this knowledge!

Step-by-step explanation:

( 2, y ) It only shows how X is 2, you need more information to find y. If you can respond, try to give me more information, I am willing to help!

a) triangle with measurement 1/2 of the original measurement.

b)  rhombus with measurement  2 times the original measurement.

c) parallelogram with measurement 1/4 of the  original measurement.

The polygon is 2- dimensional figure and is any closed curve made of continuous edges also called the sides without intersecting each other,  the corner of a  polygon is called the vertices, the are of basically two types regular and irregular, whereas The scale factor a polygon the ratio of one side of a polygon to the comparing side of the other is called the scale factor. The proportion of all parts of a polygon, including diagonals,  perimeter, and heights is the same as the proportion of the sides.

a) the given scale factor is 1/2  and, we need to construct a scale copy of the triangle having sides measurements 1/2 of the original measurements.

b) the new polygon must have the measurements 2 times the original measurements of the polygon .

c) the new polygon must have dimensions 1/4 of the dimensions of the original measurements.

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Answer:

70 points

Step-by-step explanation:

u = US points

c = Canadian points

n = Norwegian points

u = c + 2

n = c - 4

208 = u + c + n

208 = ( c + 2 ) + c + ( c - 4 ) = 3c - 2

Isolate c:

208 = 3c - 2

210 = 3c

c = 70

The value of x in the equation given as 1/6(x - 3) = 1/3(x + 2) is 7

The equation is given as

1/6(x - 3) = 1/3(x + 2)

From the question, we can see that the equation is a linear equation with one variable

As a general rule: linear equations are equations that have constant average rates of change.

We start by multiplying both sides of the equation by 6

So, we have the following equation

6 * 1/6(x - 3) = 1/3(x + 2) * 6

Next, we evaluate the products

So, we have the following equation

x - 3 = 2x + 4

Next, we collect the like terms

So, we have the following equation

2x - x = 3 + 4

Evaluate the like terms in the above equation

x = 7

This means that the solution of the equation is 7

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Answer:

17.03 cm

Step-by-step explanation:

Use the Pythagorean theorem, which states a^2+b^2=c^2. 13^2+11^2=290, sqrt290 cannot be simplified down into a whole number, therefore the next closes rounded to the nearest tenth is 17.03.

EXPLANATION

Given the expression 12(3y+x).

Let's solve it:

Applying the distributive property:

12*3y + 12*x

Multiplying like terms:

36y + 12x

The answer is 36y + 12x

Consequently, borrowing would increase with the change in interest rate from 10 % to 2 %. The correct answer is Option D.

Higher interest rates make it more expensive for businesses to borrow money through loans and lines of credit, and they also affect how much interest you pay on credit card or home purchase purchases.

Given that the interest rate has risen from 10% to 2%.

Borrowers can easily borrow by paying less interest now that the interest rate has dropped from 10% to 2%.

As a result, borrowing would increase with the decrease in interest rates. Option D is thus correct.

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Answer:

B

Step-by-step explanation:

4x + 2 = 22 ( subtract 2 from both sides )

4x = 20 ( divide both sides by 4 )

x = 5

The square roots would not be between 9 and 10 is [tex]\sqrt{80}[/tex].

[tex]\sqrt[]{80}=8.944\\ \sqrt[]{90}=9.486\\ \sqrt[]{95}=9.746\\ \sqrt[]{88}=9.380[/tex]

What are square roots?

The opposite of squaring an integer is finding its square root. The result of multiplying a number by itself yields its square value, whereas the square root of a number may be found by looking for a number that, when squared, yields the original value. It follows that a, a = b if "a" is the square root of "b." Every integer has two square roots, one of a positive value and one of a negative value because the square of any number is always a positive number. For instance, the square roots of 4 are both 2 and -2. However, the square root of a number is typically only expressed as the positive value.

The value of a number's power 1/2 is the number's square root. It is the number whose product by itself yields the original number, to put it another way. It is symbolized by the character "." The number behind the square root sign is referred to as the radicand, whereas the square root symbol itself is known as a radical.

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SOLUTION

Let us make a sketch that will help us solve the question

From the image I provided, let the Height of the figure be H.

Then this means that the height of the figure H is

Note that I have splitted the triangle into two.

Now, we need to find the two acute angles

Now, from the triangles splitted in the right side, both are right-angles just like the first (biggest) triangle.

So we will use the trig-ratio, SOHCAHTOA to find the acute angles.

From the smallest triangle in the image,

Now, the second acute angle becomes

The other triangle that is the bigger one which was splitted has opposite side of 3.5m and adjacent side x, hence

Now H becomes

Hence, the height of the figure is 8.50 m to the nearest hundreth