Determine the GCF and LCM of 54 and 81.

Answer:

turn 3% into decimal by diving 3 by 100

3/100=0.03

0.03X3460=103.80

3460-103.80=3356.20

3356.20-100=3256.2

Answer:

A fraction simply tells us how many parts of a whole we have. You can recognize a fraction by the slash that is written between the two numbers. We have a top number, the numerator, and a bottom number, the denominator. For example, 1/2 is a fraction.

Step-by-step explanation:

Answer:

a quantity that is not a whole number

Answer:

x = -6

Step-by-step explanation:

All three angles are equal, so all three sides are equal, making this an equilateral triangle

5x+10 = 2x-8

Subtract 2x from each side

5x-2x +10 = 2x-8-2x

3x+10 = -8

Subtract 10 from each side

3x+10-10 = -8-10

3x = -18

Divide by 3

3x/3 = -18/-3

x = -6

Answer:

blank 1 is 4

blank 2 is 0.25

The answer is 2,3.

If the number be X.

If you divide X by 4 it gives the remainder 1.

Then the dividend here be Y

⇒X=4Y+1   ...(1)

Now, when we divide Y by 5, we get remainder 4.

We take quotient as 1, as 5 divided Y completely.

⇒Y=1×5+4=9

Putting Y=9 in eqn (1), we get

X=4×9+1=37

Now, 37 divided by 5 and 4 respective it will gives 2 and 3.

What is divided successively?

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Answer:

its c

Step-by-step explanation:

mark brainlist

To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

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To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.

Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.

Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.

(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.

Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.

Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.

(3) Show that HK=G.

To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.

Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.

Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.

(4) Show that G is a cyclic group.

Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.

Therefore, G is not a cyclic group.

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Answer:

20 degrees

Step-by-step explanation:

180-120-40=20

Answer:

10

Step-by-step explanation:

Answer: x<10

Step-by-step explanation:

A scientific calculator is typically used for pre-calculus.

This type of calculator is designed to handle more advanced mathematical functions, such as trigonometry, logarithms, and exponents, which are commonly used in pre-calculus.

It is important to have a scientific calculator for pre-calculus because it allows you to easily solve more complex equations and perform calculations quickly and accurately.

Additionally, many scientific calculators have graphing capabilities, which can be useful for visualizing equations and understanding how they behave. Overall, a scientific calculator is an essential tool for pre-calculus and can help you succeed in the course.

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the function is f(x) = 3 (x⁴+243)/4

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

f'(x) = 3x³

So that, f(x) = ∫3x³dx + C

⇒ f(x) = 3x⁴/4 + C

⇒ 81x + y  is tangent to the graph of f

⇒ slope at point of tangency = -81 = f'(x)

so, that 3x³ = -81

⇒ x³ = -27

⇒ x = -3

Now from 81x + y = 0

⇒ 81 *-3 +y = 0

⇒ -243 +y = 0

⇒ y = 243

f(x) passes through (-3, 243)

So that,

⇒ 243 = 3 * 81/4 + C

⇒ C = 243 - 243/4

⇒ C = 729/4

So that, f(x) = 3x⁴/4 + 729/4

⇒ f(x) = 3 (x⁴+243)/4

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The output of the code above is 18 6 2 0.
The value of x is set to 18

The while loop checks if x is equal to 0 and as it is not, it enters the while loop
It prints the current value of x, which is 18
It then assigns x the value of x divided by 3, which is 6
The loop then runs again and prints 6
x is assigned the value of 6 divided by 3, which is 2
The loop then runs again and prints 2
x is assigned the value of 2 divided by 3, which is 0
The loop then runs again and prints 0
The loop checks if x is equal to 0 and it is, so the loop ends and the output of the code is 18 6 2 0.

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Answer:

7.D) 107°

8. A) 123°

Step-by-step explanation:

To find the correct measurement of the angel the sum of the interior angels needs to equal 360°. Angels where the lines intersect with the circle would be both 90°. ( If that makes sense.)

90°+90°=180

180°+73°= 253°

360°-253°= 107°

The same for the second one. (those two angles would also be 90° each.)

90°+90°=180°

180°+57°=237°

360°-237°=123°

Answer:

i think 88

Step-by-step explanation:

(it's been a while since I've done this so I'm not too sure it's correct)

The formula we need to use is

2πr(angle/360)

we need the radius (r)

To get r we need angle AES

180-80= 100

using the equation from before

88=2πr*(100/360)

raidus: 50.42

Then to get the length CD we need angle DEC

180-80=100

2π*50.42*(100/360)=88

there probably was some kind of shortcut we could've used to figure this out faster but whatever

Answer:

B

Step-by-step explanation:

On edge 2020

If the price level in Canada falls and the price level in the United States does not change, Canadian-manufactured sofas are relatively less expensive, so Sherri will likely purchase a Canadian manufactured sofa.

This is because the decrease in price level in Canada would make Canadian goods more affordable, including Canadian manufactured sofas. This makes them a more attractive option for Sherri than U.S. manufactured sofas which would still be relatively more expensive even if their price level did not change. Answer D is correct in this scenario. However, if U.S. manufactured sofas were initially more expensive than Canadian sofas, then answer B could also be correct. Overall, Sherri's decision would depend on the initial price difference between Canadian and U.S. manufactured sofas, as well as her personal preferences and any other relevant factors.

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Answer:

a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.

Step-by-step explanation:

Answer:

Multiple the amount by the discount.

Rs 150 × 15%

Rs.22.5

a) With 95% confidence the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.

b) If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.

A smart phone manufacturer is interested in constructing a 95% confidence interval for the proportion of smart phones that break before the warranty expires. 95 of the 1666 randomly selected smart phones broke before the warranty expired.To calculate the confidence interval for the proportion of smart phones that break before the warranty expires, we must first calculate the point estimate of the population proportion of smart phones that break before the warranty expires:95/1666 = 0.057 (rounded to three decimal places)Then, we have to find the margin of error that is, the maximum distance between the point estimate and the confidence interval limits.

We can do that with the help of the following formula:margin of error = critical value × standard errorThe critical value can be found in the z-table or t-table, depending on the sample size. Since we do not know the population standard deviation, we can use the t-distribution. The degrees of freedom are n − 1 = 1666 − 1 = 1665.Using the t-table with degrees of freedom 1665 and level of significance α = 0.05, the critical value is:t* = 1.96 (rounded to two decimal places)The standard error can be calculated using the following formula:standard error = √[(p-hat (1-p-hat))/n] = √[(0.057(1-0.057))/1666] ≈ 0.0083 (rounded to four decimal places)Finally, we can calculate the confidence interval using the following formula:confidence interval = point estimate ± margin of error confidence interval = 0.057 ± 1.96(0.0083) = (0.0525, 0.0635)The 95% confidence interval for the proportion of all smart phones that break before the warranty expires is between 0.0525 and 0.0635.

If many groups of 1666 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About 95 percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about 5 percent will not contain the true population proportion.

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Answer:

open circle one and 2

Step-by-step explanation:

there will be open circle because there is no equal sign in the problem....there will be a line segment in between...because basically, u would put an open circle on 1, and open circle on 2 and shading in between

Answer:

The answer is no solution.

Answer:

1/12 or 0.0833

Step-by-step explanation:

P(Coin) = 1/2

P(Dice) = 1/6

1/2 × 1/6 = 1/12

The correct graph of the piece-wise function in this problem is given as follows:

Graph A.

A piece-wise function is a function that has different definitions, depending on the intervals of the input x of the function.

For this problem the function has two definitions, given as follows:

Hence Graph A is the correct graph, as:

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The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

We have,

Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.

The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.

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complete question:

Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented

by the thin curve.

1) Describe the

translation of the parent

graph.

2) How does the translation relate to the equation?

The dimension of the shipping box is : 6 , 7 and 2 ft.

Now, According to the question:

The given information is:

Width of shipping box is x

Length of shipping box is x+1

Height of shipping box is x-4

The volume is 84 cubic ft.

To find the dimensions of the box in feet.

The volume of a box is = width × length × height.

Plug all the values in above formula:

84 cubic ft. = x(x + 1) (x - 4)

84 cubic ft. = (x)(x+1)(x-4) = \((x)\)\((x^2-3x-4)\) = \(x^3 - 3x^2 - 4x.\)

Next, think of the factors of 84. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

The value is x = 6.

Put the value x = 6

(6)(6+1)(6-4) = (6)(7)(2) = 84 cubic ft.

Hence, The dimension of the shipping box is : 6 , 7 and 2 ft.

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The complete question is this:

The dimensions in inches of a shipping box can be expressed as width x, length x+1, and height x-4. The volume is 84 cubic ft. Find the dimensions of the box in feet.

Answer: -2

Step-by-step explanation:

Answer:

1. -1/2

2. Graph attached below:

Step-by-step explanation:

1) To find to slope of the line with two points would be the following equation:

\(y_{2} - y_{1} / x_{2} - x_{1}\)

So let’s assume our variables and subsitute them to see that the Carma’s Working out is an error.

Form: \((x_{2}, y_{2}), (x_{1}, y_{1})\)

\(y_{2} = 3\)

\(y_{1} = 1\)

\(x_{2} = 7\)

\(x_{1} = 11\)

\(3 - 1 / 7 - 11 = -1/2\)

1. Error one: The point values of the slope aren‘t correctly labeled and are not the same form as in the formula.

2. Error two: The slope output is not correct, it is 2 but the slope is -1/2.

Now let’s get on the graph of Carma’s workout, I can spot that the point (-4, 5) is not plotted correctly. Instead it is plotted (4, -5). To understand clearly I will label these points on a graph, image attached below:

3. Error three: The point (-4, 5) is not plotted correctly, x should be negative and y should be positive.

4. Error four: The slope is not correct, instead the slope of the graph is negative but we need a positive slope.

Now it is time to fix Carma’s mistakes:

1) Slope: -1/2

2) Graph attached below

SOLUTION:

1 : 5 = 5 : 45

__________

Answer:

5

Step-by-step explanation:

We can write 1:5 as 1/5

1/5 = x/45
1x9/5x9 = x/45
9/45 = x/45 => x=5