5/2 minus something equals 1/3

Answer:

€48

Step-by-step explanation:

Given data

We are told that £3 is equivalent to €4.

Our aim is to convert £36 to euros

Therefore, if £3 is equivalent to €4.

Then £36 is equivalent to x

Cross multiply we have

36*4=3x

144=3x

Divide both sides by 3

144/3= €48

Hence it will be equal to €48

Answer:

y + 8= 0(x-3)

y + 8= 0

y = -8

Step-by-step explanation:

a) The center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

b) We have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

(a) Deriving the class equation of a finite group G involves partitioning the group into conjugacy classes. Conjugacy classes are sets of elements in the group that are related by conjugation, where two elements a and b are conjugate if there exists an element g in G such that b = gag^(-1).

To derive the class equation, we start by considering the group G and its conjugacy classes. Let [a] denote the conjugacy class containing the element a. The class equation is given by:

|G| = |Z(G)| + ∑ |[a]|

where |G| is the order of the group G, |Z(G)| is the order of the center of G (the set of elements that commute with all other elements in G), and the summation is taken over all distinct conjugacy classes [a].

The center of a group, Z(G), is the set of elements that commute with all other elements in G. It can be written as:

Z(G) = {z in G | gz = zg for all g in G}

The order of Z(G), denoted |Z(G)|, is the number of elements in the center of G.

The conjugacy classes [a] can be determined by finding representatives from each class. A representative of a conjugacy class is an element that cannot be written as a conjugate of any other element in the class. The number of distinct conjugacy classes is equal to the number of distinct representatives.

By finding the center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.

(b) To prove that a Sylow p-subgroup of a finite group G is normal if and only if it is unique, we need to show two implications: if it is normal, then it is unique, and if it is unique, then it is normal.

If a Sylow p-subgroup is normal, then it is unique:

Assume that P is a normal Sylow p-subgroup of G. Let Q be another Sylow p-subgroup of G. Since P is normal, P is a subgroup of the normalizer of P in G, denoted N_G(P). Since Q is also a Sylow p-subgroup, Q is a subgroup of the normalizer of Q in G, denoted N_G(Q). Since the normalizer is a subgroup of G, we have P ⊆ N_G(P) ⊆ G and Q ⊆ N_G(Q) ⊆ G. Since P and Q are both Sylow p-subgroups, they have the same order, which implies |P| = |Q|. However, since P and Q are subgroups of G with the same order and P is normal, P = N_G(P) = Q. Hence, if a Sylow p-subgroup is normal, it is unique.

If a Sylow p-subgroup is unique, then it is normal:

Assume that P is a unique Sylow p-subgroup of G. Let Q be any Sylow p-subgroup of G. Since P is unique, P = Q. Therefore, P is equal to any Sylow p-subgroup of G, including Q. Hence, P is normal.

Therefore, we have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.

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Answer:

f(x) = 12*(2)^x

Step-by-step explanation:

A generic exponential equation is written as:

f(x) = A*(r)^x

And we also know that this equation passes through:

(-1, 6)

(0, 12)

(1, 24)

(2, 48)

For the second point, (0, 12) we know that when f(0) = 12

Then:

f(0) = 12 = A*(r)^0

And for every real number different than zero, a^0 = 1

Then:

f(0)  = A*1 = A = 12

Then the equation is:

f(x) = 12*(r)^x

Now we can use one of the other points, like (1, 24)

Then f(1) = 24

We can solve:

f(1) = 24 = 12*(r)^1  = 12*r

24/12 = r

2 = r

Then the equation is f(x) = 12*(2)^x

Now we need to check if this function also passes through the points (-1, 6) and (2, 24):

f(-1) = 12*(2)^-1 = 12/2 = 6

f(2) = 12*(2)^2 = 12*4 = 48

Nice.

So we can see that the function is f(x) = 12*(2)^x

To solve this problem, we need to calculate the volume of water in Container A, the volume of Container B, and subtract the volume of water from Container B from the volume of Container A.

The volume of water in Container A can be found using the formula for the volume of a cylinder:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

For Container A, we have:

V(A) = π(6^2)(15)

V(A) = 1,620π

The volume of Container B can be found using the same formula:

V(B) = π(7^2)(8)

V(B) = 1,232π

After pumping the water from Container A into Container B, Container B is completely full, which means its volume is equal to the volume of the water from Container A.

So, the volume of water in Container A is:

V(water) = V(B)

V(water) = 1,232π

To find the volume of the empty space inside Container A, we need to subtract the volume of water in Container A from the total volume of Container A:

V(empty space) = V(A) - V(water)

V(empty space) = 1,620π - 1,232π

V(empty space) = 388π

V(empty space) ≈ 1,219.8 cubic feet

Therefore, the volume of the empty space inside Container A is approximately 1,219.8 cubic feet (rounded to the nearest tenth of a cubic foot).

Hope you understood it...

We have the following:

The height of a cylinder with a 36-square-foot base and a 189-square-foot volume is 6.

The formula for the volume of a cylinder is given by V = \(\pi\)\(r^{2}\)h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.

The area of the base of the cylinder is given by A = \(\pi\)\(r^{2}\), where A is the area of the base, r is the radius of the base.

We are given that the area of the base is 36, so we can write:

\(\pi\)\(r^{2}\)= 36

Solving for r, we get:

\(r^{2}\) = 36/\(\pi\)

r = \(\sqrt{36}/\pi\)

r ≈ 3.02

We are also given that the volume of the cylinder is 189, so we can write:

V = \(\pi\)\(r^{2}\)h = 189

\(\pi 3.02^{2} h\) = 189

h = 189 / \(\pi 3.02^{2}\)

h ≈ 6

Therefore, the height of the cylinder is approximately 6 units.

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Two measures of central tendency commonly used are the mean and the median.

The mean is the arithmetic average of all the scores in a dataset. It is calculated by summing up all the scores and dividing by the total number of scores. The mean is sensitive to extreme values or outliers, as it takes into account every value in the dataset.

The median, on the other hand, is the middle value when the data is arranged in ascending or descending order. If there is an even number of values, the median is the average of the two middle values. The median is less affected by extreme values or outliers, as it only considers the position of values relative to each other, rather than their actual values.

When the distribution of scores on the variable is skewed due to an outlier, the median would be a more valid measure of center. This is because the median is not influenced by extreme values and is less affected by the shape of the distribution. It provides a more robust estimate of the central tendency, especially in cases where there are significant outliers pulling the mean away from the typical values.

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Answer:

-2

Step-by-step explanation:

The correct answer is b. The total manufacturing overhead variance would be unfavorable.

When a company applies overhead using direct labor hours, it means that the amount of overhead applied is based on the actual direct labor hours worked. If there is an unfavorable direct labor variance, it implies that the actual direct labor hours worked are greater than the standard or expected hours. This indicates that more direct labor hours were used than anticipated, resulting in higher labor costs.

Since the manufacturing overhead is applied based on direct labor hours, the unfavorable direct labor variance would lead to higher applied overhead costs. This, in turn, would result in a higher total manufacturing overhead variance. The total manufacturing overhead variance measures the difference between the actual overhead costs incurred and the overhead costs that were expected or budgeted.
Therefore, an unfavorable direct labor variance would have a direct impact on the total manufacturing overhead variance, making it unfavorable as well. It suggests that the company incurred higher overhead costs than what was originally planned or budgeted for.

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According to Moore's Law, the number of transistors that can be placed inexpensively on a silicon chip doubles every two years, a typical CPU contained about 1,000,000 transistors in 1990.

Let’s first calculate the number of doublings from 1990 to 2000. Number of years from 1990 to 2000 = 2000 - 1990 = 10 yearsDoublings from 1990 to 2000 = \($\dfrac{10 \text{ years}}{2 \text{ years per doubling}} = 5$\) doublingsNow, we can calculate the number of transistors in a typical CPU in the year 2000:

\($$\begin{aligned} \text{Number of transistors in 2000} &= \text{Number of transistors in 1990} \times 2^{\text{number of doublings}} \\ &= 1,\!000,\!000 \times 2^5 \\ &= 32,\!000,\!000 \end{aligned}$$\)

Therefore, a typical CPU contained about 32,000,000 transistors in the year 2000.

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The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

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Answer:

B UvU

Step-by-step explanation:

The year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.

To calculate the rate of inflation and the Consumer Price Index (CPI) change from year 1 to year 2, we need to follow these steps:

Step 1: Calculate the inflation rate:

Inflation Rate = (Year 2 CPI - Year 1 CPI) / Year 1 CPI

Step 2: Calculate the Year 2 CPI:

Year 2 CPI = (Year 2 Basket Price / Year 1 Basket Price) * 100

Let's calculate the values:

Year 1 Basket Price = $25.00

Year 2 Basket Price = $25.50

Step 1: Calculate the inflation rate:

Inflation Rate = ($25.50 - $25.00) / $25.00

Inflation Rate = $0.50 / $25.00

Inflation Rate = 0.02 or 2%

Step 2: Calculate the Year 2 CPI:

Year 2 CPI = ($25.50 / $25.00) * 100

Year 2 CPI = 1.02 * 100

Year 2 CPI = 102

Therefore, the year-2 CPI is 102, and the rate of inflation from year 1 to year 2 is 2%.

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The price of carrots per ounce is $0.24 .

Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.

The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.

Now it is given that a 2-pound bag of carrots cost $7.68 .

Therefore price per pound of carrots=$7.68÷2

Price per pound=$ 3.84 .

Now we know that 16 ounces make up a pound.

Price of carrots per ounce=  $3.84 ÷16

Price per ounce=  $ 0.24

Therefore the price of carrots per ounce is $0.24

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The correct answer to this question is:(a) regular tetrahedron - 3 faces intersect at a vertex

(b) regular hexahedron - 3 faces intersect at a vertex(c) regular  is safe to conclude that the answer to the given problem is (a) regular tetrahedron - 3 faces intersect at a vertex..- 4 faces intersect at a vertex(d) regular dodecahedron - 3 faces intersect at a vertex.

In a regular tetrahedron, there are three faces that intersect to form a vertex. A tetrahedron is a type of polygon with four faces, three edges per face, and a total of six edges. A regular hexahedron, on the other hand, has three faces intersecting at each vertex. In addition, it is also known as a cube, which is a polyhedron with six faces and twelve edges.

A regular octahedron, on the other hand, has four faces intersecting at a vertex. Finally, a regular dodecahedron, has three faces intersecting at each vertex.

Therefore, it is safe to conclude that the answer to the given problem is (a) regular tetrahedron - 3 faces intersect at a vertex..

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Answer:

15 apples

Step-by-step explanation:

Add 10 and 5,

10 + 5 = 15

Answer:

X=22 because of the symmetrical angle so 158+158=316 and one full angle = 360 then 360-316=44 and there are two sides so 44÷2=22

Answer:

13 units

Step-by-step explanation:

Here we need to use the distance formula.

Hence we get that,

AB =  \(\sqrt{(-8-4)^2 + (4-(-1))^2}\)

AB =  \(\sqrt{(-12)^2 + 5^2}\)

AB =  \(\sqrt{144 + 25}\)

AB =  \(\sqrt{169}\)

AB =  13

The distance between point A(-8,4) and B(4,-1) is 13 units.

The distance between two points of the xy-plane can be found using the distance formula. The distance formula is:

√[(x₂ - x₁)² + (y₂ - y₁)²].

Now the given points are,

A(-8,4) and B(4,-1)

Therefore we have,

x₁ = -8

y₁ = 4

x₂ = 4

y₂ = -1

Now distance between A(1,4) and B(-3,3.5) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - (-8))² + (-1 - 4)²]

= √[(4 + 8)² + (-5)²]

= √(12² +25)

= √(144 +25)

= √169

= 13 units

Thus, the distance between points A(-8,4) and B(4,-1) is 13 units.

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Step-by-step explanation:

Total amount of lettuce = x pounds

Mrs. Tirado picked 5/6 pounds of lettuce from her garden.

5 / 6 * Total amount = 5/6 x

Mrs. Rampulla picked 2/3 less pounds than Mrs. Tirado.

Mrs. Rampulla = 2/3 (Mrs. Tirado) = 2/3 (5/6 x)

Mrs. Rampulla = 5/9 x

How much lettuce did they pick altogether?

Mrs. Rampulla + Mrs. Tirado

5/9 x  + 5/6 x

(25/18) x pounds

Answer:

5 : 7

Step-by-step explanation:

Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7

Answer:

5:7

Step-by-step explanation:

The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7

Answer:

1. c = 9/2

2. r = 21/4

3. x = -2/3

4. m = 5/2

Step-by-step explanation:

1.

1 - 2c = -8

Subtract 1 from both sides to isolate the variable:

-2c = -8 - 1 = -9

Divide by -2 to further isolate the variable:

c = (-9) / (-2) = 9/2

So, the answer is c = 9/2.

2.

-8/7r = 6

To isolate the variable, divide both sides by -8/7:

r = (-6) / (-8/7)

Remember that when dividing fractions, it's the same as multiplying by the reciprocal of the divisor, so:

r = (-6) / (-8/7)

r = (-6) * (-7/8) = 42/8 = 21/4

So, the answer is r = 21/4.

3.

4 - 4 * (4 - x) - 4x = 18x

We need to use order of operations and expand the 4 * (4 - x) part first:

4 * (4 - x) = 16 - 4x

Put this back in:

4 - (16 - 4x) - 4x = 18x

4 - 16 + 4x - 4x = 18x

Combine like terms:

-12 = 18x

Divide by 18 on both sides:

x = -12/18 = -2/3

So, the answer is x = -2/3.

4.

1/5m + 3 = 7/5m

Subtract 1/5m from both sides:

3 = 7/5m - 1/5m = 6/5m

Divide both sides by 6/5:

m = 3 ÷ (6/5) = 3 * (5/6) = 15/6 = 5/2

So, the answer is m = 5/2.

Answer:

1. c = 9/2

2. r = -21/4

3. x = -2/3

4. m = 5/2

Step-by-step explanation:

1-2c = -8

1 + 8 = 2c

9 = 2c

c = 9/2

-8/7r = 6

r = 6 × 7/-8

r = 3 × 7/-4

r = -21/4

4-4 (4-x) -4x = 18x

4 - 16 + 4x - 4x = 18x

-12 = 18x

x = -12/18

x = -2/3

1/5m + 3 = 7/5m

3 = (7/5 - 1/5)m

3 = 6/5m

m = 3 × 5/6

m = 5/2

Answer:

4x+x+x+90=360

6x+90=360

6x=270

x=45

good luck!

4x+x+x+90=360

6x+90=360

6x=270

x=45

You can rule out both EGF and GEF because they are representing another segment of the graph.

The answer should be DGE. If you use DGE to draw a triangle starting from the first letter (D) and then go to E and then G, then E will be in the middle.

I was taught that the middle letter of any sequence of letters is the angle of said sequence because line DG and line GE connect to form it.

Answer:

The Mean Decreases.

Step-by-step explanation:

Answer:

the answer is Cindy and i dont understand what your trying to say but if your saying witch one is closer to  Jackson then yeah Cindy

4.2.1. The coordinates of C and D are (0, 12) and (4, 0) respectively.

4.2.2. The values of m is -3 and c is 12, the equation of g(x) is g(x) = -3x + 12.

4.2.3. If OB = 1/2, the length of AE is 1.75 units.

4.2.4. The values of x for which f(x) is decreasing is x > 0.5.

4.2.5. The range of f(x) is [-∞, 12.25].

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

f(x) = -x² + x + 12

Based on the diagram or graph above, we can logically deduce that the coordinates of C and D represent the y-intercept and one of the x-intercept of the quadratic equation f(x).

When x = 0, the coordinates of C is given by;

f(0) = -0² + 0 + 12

f(0) = 12, C = (0, 12).

When f(x) = 0, the coordinates of D is given by;

0 = -x² + x + 12

0 = -x² + 4x - 3x + 12

0 = (x - 4)(x + 3)

x = 4 or x = -3

Since D is on the positive x-axis, it is equal to (4, 0).

Part 4.2.2.

Next, we would determine the slope (m) and y-intercept (c) as follows;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (12 - 0)/(0 - 4)

Slope (m) = -3

y-intercept (c) at C (0, 12) is equal to 12.

Part 4.2.3

Assuming line segment OB = 1/2, we would determine the length of AE;

AE = AB - BE

BE =  g(1/2) = -3(1/2) + 12

BE = 10.5 units

AB = f(1/2) = -(1/2)² + (1/2) + 12

AB = 12.25 units.

AE = 12.25 - 10.5

AE = 1.75 units.

Part 4.2.4

The values of x for which f(x) is decreasing represent all the numbers that are greater than the axis of symmetry;

Axis of symmetry = -b/2a

Axis of symmetry = -1/2(-1)

Axis of symmetry = 0.5

x > 0.5.

Part 4.2.5

By critically observing the graph shown in the image attached above, the range is given by:

f(x) = -x² + x + 12

f(1/2) = -(1/2)² + (1/2) + 12

f(1/2) = 12.25

Therefore, the range is [-∞, 12.25] or {y|y ≤ 12.25}.

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Answer:

Step-by-step explanation:

if 3=20

then ?=50

if more less divide

50/20 *3 =7.5

Answer:

7.5 inches

Step-by-step explanation:

We can use ratios to solve

3 inches         x inches

---------------- = --------------

20 miles           50 miles

Using cross products

3 * 50 = x * 20

150 = 20x

Divide by 20

150/20 = x

7.5 inches

Answer:

KL = MN

Step-by-step explanation:

i got the question right on my test

Answer:

$14.7

Step-by-step explanation:

To find the markup, you can use the following formula:

markup = (selling price - cost price) / cost price x 100

cost price = $35

selling price = $35 + markup

markup = (selling price - $35) / $35 x 100

Now you know that selling price = $35 + markup and markup = 42%, so you can use this information to find selling price:

markup = 42% = 0.42

selling price = $35 + $35*0.42 = $35+14.7 = $49.7

So the markup is $14.7

Answer:

9.4

Step-by-step explanation:

12 - 30% equals 8.4 + the one dollar will give you 9.4

12 - 30% = 8.4

8.4 + 1 = 9.4