Find the GCF of each expression.
The GCF of 12y - 3 is_____.
The GFC of 4y + 10 is_____.
The GCF of 28 − 8 is _____.
The GCF of 30 + 18 is _____.

Answer:

See below.

Step-by-step explanation:

Recall that the x-intercept is basically: (x,0).

In other words, we just need to substitute y with 0 in order to find the x-intercept.

Thus, we will have:

\(2x-3(0)=-19\)

\(2x=-19\)

\(x=-19/2\)

9514 1404 393

Answer:

Step-by-step explanation:

Let w represent the width. Then the length is 2w-5, and the perimeter is ...

  P = 2(L+W)

  44 = 2((2w-5) +w)

  44 = 6w -10

  54 = 6w

  9 = w

  2(9) -5 = 13 = length

The length of the rectangle is 13 meters; the width is 9 meters.

Answer: 72

Step-by-step explanation: ight I added the all the numbers up and 72

7.7+6.7+6.7+6.7+6.7+11+11+3.9+3.9+7.7 or you can also turn the all the decimals into fractions

Answer:

quiz let or brainy helps me just look up the chapter question and you will get the answer

Step-by-step explanation:

hope this helps

f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is the following statement representing a function - f(x), that models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute.

Assume that we represent the depth of the water rate by [y] and the time in minutes by [m]. We can write the function f(x) as -

y = f(x) = 11m

This is a linear relation and its graph will be a straight line passing through origin.

From this equation, we can make the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

Therefore, f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

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Given data:

The given numbers of items is 6 appetizers, 4 salads, 8 entrees, and 5 desserts.

The expression for the number of ways to select one item from each is,

Thus, the first option is correct.

Answer:

angle ABC is 48⁰

Step-by-step explanation:

angle BCD will be 111⁰ it will be equal to DAB.

111+111+90=312⁰

kite is a quadrilateral so its angles add up to 360⁰

360-312=48⁰

Step-by-step explanation:

ΔA = ΔC = 111° (kite property-opposite Δ equal)

ΔD = 90° ------ ( given )

ΔA + ΔB + ΔC + ΔD = 360°

111° + ΔB + 111° + 90° = 360°

312° + ΔB = 360°

ΔB = 360° - 312°

ΔB = 48°

Answer:

chetta es polla airemeris di quana premeria

Step-by-step explanation:

Answer:

Month 1:

Calculate Balance (by adding interest to existing balance): 678.34*(1 + 0.217/12) = 690.606648333333 = 690.61

Make payment: 690.61 - 235 = 455.61

Old Balance: 690.61

New Balance: 455.61

--------------------------------------------------------------

Month 2:

Calculate Balance (by adding interest to existing balance): 455.61*(1 + 0.217/12) = 463.8489475 = 463.85

Make payment: 463.85 - 235 = 228.85

Old Balance: 463.85

New Balance: 228.85

--------------------------------------------------------------

Month 3:

Calculate Balance (by adding interest to existing balance): 228.85*(1 + 0.217/12) = 232.988370833333 = 232.99

Make payment: 232.99 - 232.99 = 0

Old Balance: 232.99

New Balance: 0

--------------------------------------------------------------

Payments Made: 235, 235, 232.99

Number of Payments Made: 3

Total Cost: 235 + 235 + 232.99 = 702.99

Total Cost: $702.99

Total Interest: 702.99 - 678.34 = 24.65

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

30.98

Step-by-step explanation:

Answer:

30.98

Step-by-step explanation:

Answer...

32!!

Step-by-step explanation:

Subtract the numbers to see a pattern of decreasing odd numbers

167-118 = 49

118-82 = 36

82-57 = 25

57-41 = 16

The difference between is 13 then 11 then 9 so the next number should be x-7

Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.

The sum of angles in a circle is always equal to 360 degrees or 2π radians.

This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.

With regard to the above problem,

We are given three angles in a circle named as follows:

a) 81°

b) 164°

c) x

The above rule state that

81 + 164 + x = 360°

thus, x = 360 - 81 - 164

x = 360 -245

x = 115°

Thus the value of ∠x is  115°

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Full Question:

See attached image.

Answer: sin u = -5/13 and cos v = -15/17

Step-by-step explanation:

The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.

So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),

==> adj of u = -12 therefore cos u = -12/13

Same argument for v: adj = -15,

opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17

The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)

I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.

The leftover zeros of the function can now be determined using the quadratic formula:   \((-1 i*sqrt(3))/2 = (-1 sqrt(1 - 4))/2\) Thus, the following are the zeros of the function  \(f(x): x = (-1 + sqrt(3))/2, (-1 - sqrt(3))/2, -13\)

a) Rational Zeros Theorem states that the possible rational zeros of a polynomial function are all the possible ratios of a factor of the constant term over a factor of the leading coefficient. So in this case, the possible rational zeros are:

±1, ±13

b) Let's use synthetic division to find the first zero. Let's start by using the possible rational zero x = -1.

\(-1 | 2 0 15 45 13\)

||||

\(2 -2 13 32\)

The last number in the result is the remainder, and all the other numbers represent the coefficients of the quotient polynomial. Since the remainder is not zero, -1 is not a zero of the function.

c) Let's use synthetic division to find the second zero. Let's start by using the possible rational zero x = -13.

-13 | 2 0 15 45 13

||||

2 -26 77 -38

The last number in the result is the remainder, and all the other numbers represent the coefficients of the quotient polynomial. Since the remainder is not zero, -13 is not a zero of the function.

d) To find the remaining zeros, we can use the quadratic formula to solve the quadratic equation obtained by factoring out the first two zeros found:

\(f(x) = (x + 1)(x^3 + 14x^2 + 31x + 13)\)

The remaining zeros can be found by solving the cubic polynomial  \(x^3 + 14x^2 + 31x + 13 = 0\) . We can use either the rational zeros theorem or synthetic division again to find other possible rational zeros.

However, it turns out that the cubic polynomial has no other rational zeros. Therefore, we need to use other methods to find the remaining zeros.

We can use the rational roots theorem to find any rational roots of the cubic equation. Since the leading coefficient is 1 and the constant term is 13, any rational roots must be of the form ±p/q where p is a factor of 13 and q is a factor of 1. Therefore, the possible rational roots are ±1, ±13.

We can use synthetic division to test these possible rational roots. Let's start with x = -1.

\(-1 | 1 14 31 13\)

|||___

\(1 13 18 -5\)

The remainder is not zero, so \(x = -1\) is not a root. Let's try  \(x = -13\)  .

-13 | 1 14 31 13

|||___

1 1 18

The remainder is zero, so  \(x = -13\) is a root. Using synthetic division, we can divide the cubic polynomial by   \(x + 13\) to obtain a quadratic polynomial:

\((x^3 + 14x^2 + 31x + 13) ÷ (x + 13) = x^2 + x + 1\)

We can now use the quadratic formula to find the remaining zeros of the function:

\(x = (-1 ± sqrt(1 - 4))/2 = (-1 ± i*sqrt(3))/2\)

Therefore, the zeros of the function f(x) are:

\(x = -1, -13, (-1 + isqrt(3))/2, (-1 - isqrt(3))/2\)

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C. (-2, 2) and  (1, -1)

Since the point of intersection is the sole location where the two graphs come together, the coordinates of that location provide the answer to the equations involving the two variables. There are no solutions when the graphs are in parallel.

Given, the parabola Y = X² -2 and a line Y = -X. To find the intersection points of this graph we need to compare these equations.

Let's put the value of y in equation 1

- X = X²  - 2

X²  + X - 2 = 0

The factor of this quadratic equation is -2 and 1. Therefore the coordinate in which both graphs will intersect is (-2, 2) and  (1, -1). I am attaching an image for better understanding.

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Answer:

-4.8

Step-by-step explanation:

Answer:

−24/5

Step-by-step explanation:

3x3/5x(-8x1/3)

Use the order of operations method, PEMDAS, in order to solve this expression.

Answer:

B

Step-by-step explanation:

Claude owns a store. Every year, he pays corporate tax. Option B is correct.

Claude owns a store. Every year, he pays _____.
Black space to be filled from the following option,
A. sales tax B. corporate tax C. marginal tax D. personal property tax

A corporate tax is a tax levied on the net gain of an enterprise that is taxed at the commodity level in a particular mark. Net gain for corporate tax is commonly the financial statement of net gain with transformations and may be defined in detail in the tax system of each country.

Since the store owner mostly pays the corporate tax besides there, sales tax is paid by the company owners, marginal tax is also paid by the production companies, and personal property tax is paid by any person.

Thus, Claude owns a store. Every year, he pays corporate tax. Option B is correct.

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Each toss of the nickel has a 1/2 chance of coming up heads. If it comes up heads, a dime is then tossed, with a 1/2 chance of coming up heads.

P(X=0) means the probability of getting 0 heads on the tosses of the dime. Since each toss has a 1/2 chance of coming up heads, and no heads were thrown in this case, the probability is 1.

P(X=1) means the probability of getting 1 head on the tosses of the dime. Since each toss has a 1/2 chance of coming up heads, and 1 head was thrown in this case, the probability is (1/2)^1 = 1/2.

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Based on the survey, we can say that between 12,776 and 14,000 citizens in the town would support a new coffee shop.

The margin of error is a measure of the uncertainty in the survey results. It is based on the sample size and the level of confidence desired. In this case, the margin of error is 1.7%.

This means that the actual percentage of citizens in the town who would support a new coffee shop could be as much as 1.7% higher or lower than the survey result of 37%.

To calculate the range of possible values for the percentage of citizens who would support a new coffee shop, we add and subtract the margin of error from the survey result:

37% + 1.7% = 38.7%

37% - 1.7% = 35.3%

Therefore, based on the survey, we can say that between 35.3% and 38.7% of the citizens in the town would support a new coffee shop.

To determine the number of people who would support a new coffee shop, we need to multiply the percentage by the population of the town:

35.3% of 36,170 = 12,776

38.7% of 36,170 = 14,000

Therefore, based on the survey, we can say that between 12,776 and 14,000 citizens in the town would support a new coffee shop.

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Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

(2w - 1) / 5 + w + 2 = 2w

Simplify the equation, then we have

(2w - 1) / 5 + w + 2 = 2w

(2w - 1) / 5 = w - 2

2w - 1 = 5w - 10

3w = 9

w = 3

The solution of the equation (2w - 1) / 5 + w + 2 = 2w will be 3.

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The complete question is given below.

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Answer:

son varios carnal

Step-by-step explanation:

respuestas y pregunstas es que la explicacion tiene logica como mi rap asta rimo carnal para que guache loko nomas para que vea el flow que cargo loko asi nomas mijo ya vio

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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The values of the central tendencies are as follows;

The mean of Class 1 is 78.83.

The median of Class 1 is  88

The mean of Class 2 is 79.42

The median of Class 2 is 85.50

The mean of Class 3 is 79.42

The median of Class 3 is 78

The standard deviation of Class 1 is 18.81

The standard deviation of Class 2 is 16.15

The standard deviation of Class 3 is 12.70.

Mean is the average of a set of numbers.

Mean = sum of numbers / total number

Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83

Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42

Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42

Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.

Median of Class 1 = (86 + 90) / 2 = 88

Median of Class 2 =  (84 + 87) / 2 = 85.50

Median of Class 3 = (76 + 80) / 2 = 78

Standard deviation is used to calculate the average variation of a dataset.

Standard deviation = √((x - μ)²/σ)

Where:

x = number in the dataset

u = mean

n = total numbers in the dataset.

Standard deviation of Class 1 = 18.81

Standard deviation of Class 2 = 16.15

Standard deviation of Class 3 = 12.70

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Complete question is;

Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three

Algebra 1 courses and all the classes recently took a chapter exam.

Below are the scores.

Class 1

45

68

77

90

90

95

100

100

86

90

50

55

Class 2

64

65

70

40

100

87

84

88

90

90

95

80

Class 3

70

75

75

90

100

80

55

65

76

80

88

99

a. Find the mean, median, mode and range of Class 1.

b. Find the mean, median, mode and range of Class 2.

c. Find the mean, median, mode and range of Class 3.

d. Find the standard deviation of Class 1.

e. Find the standard deviation of Class 2.

f. Find the standard deviation of Class 3.

Answer:

Down below! Hope this helps! Mark me Brainly!

Step-by-step explanation:

A.

The mean 78.83.

The median  88

The mode 90

The range 55

B.

The mean 79.42

The median 85.50

The mode 90

The range 60

C.

The mean 79.42

The median 78

The mode 75 and 80

The range 45

D.18.81

E.16.15

G.The class that had the higher standard deviation is class 1.

H.The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.

The limit of the function As x → - ∞, f(x) → 2.

The limit of a function is the value the function tends to as the independent variable tends to a given value.

Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows

Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.

So, As x → - ∞, f(x) → 2.

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Answer:

The answer is option C : 6 tenths

The amount of pounds that an 11-foot beam can support is 496.

Variation is a topic majorly in mathematics which expresses the relations between dependent and independent variables in form of equation. Some types of variation are: direct variation, inverse variation, constant variation etc.

In the given question, let the strength of a beam be represented by S and its length by l.

Thus;

S \(\alpha\) 1/ l^2

S = k/ l^2

where k is the constant of proportionality.

when l = 10 ft, S = 600 pounds, then;

600 = k/(10)^2

600 = k/100

k = 600*100

  = 60000

k = 60000

So that;

S = 60000/ l^2

Now, when l = 11 ft, then;

S = 60000/ 11^2

  = 60000/ 121

  = 495.88

S = 496 pounds

The amount of pounds that 11 ft beam can support is 496.

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The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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