GCF of 21 and -24x PLS I NEED HELP IN THESE THERES SO MANY

Answer: 144

Step-by-step explanation:

When we go from 4 to 16, we add 12. Then, to get to 36, we add 20. Then, we add 28 to get 64, and finally 36 to get 100. The pattern looks like we add by 8 more every time, so next number is 100 + (36 + 8) or 144.

The sequence of squares of even nos. so the 8th term would be the square of 16 which is 256.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

The given sequence is 4, 16, 36, 64, 100...

This is a sequence of squares of even nos.

The first term is the square of 2 and the second term is the square of 4 hence the 8th term would be the square of 16 which is 16² = 256.

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Mrs. Rowan's  , percent error is  40% .

In the question ,

it is given that ,

the time allotted by Mrs. Rowan to complete the exam = 30 minutes

the time that the last student took to complete the exam = 42 minutes

the percent error can be calculated using the formula

percent error = (time student take - time allotted) / (time allotted) × 100

Substituting the values of allotted time and time taken by the student from above , we get

percent error = (42 - 30)/30 × 100

= 12/30 × 100

= 0.4 × 100

= 40%

Therefore , Mrs. Rowan's percent error is  40% .

The given question is incomplete , the complete question is

Mrs. Rowan allotted 30 minutes at the beginning of class for her students to complete an exam. The last student took 42 minutes to complete the exam. What is Mrs. Rowan's percent error ?

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The solution is y = -5

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c = 0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Let the function be f ( x ) = y

And , y = x² + 2x - 8

So , f ( x ) = x² + 2x - 8

Substituting the value for x in the equation , we get

When x = -3

f ( -3 ) = ( -3 )² + 2( -3 ) - 8

         = 9 - 6 - 8

         = 9 - 14

f ( -3 ) = -5

When x = 1

f ( 1 ) = ( 1 )² + 2( 1 ) - 8

       = 1 + 2 - 8

       = 3 - 8

f ( 1 ) = -5

Hence , the value of y = -5

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The Distance the ship has traveled towards the north and east respectively on a course 50 degrees at and a distance of 10km  is 7.66km respectively

How to find distance traveled by the ship

In a right angled triangle, the square on the hypotenuse side is equal to the sum of the squares on the other two sides

using the trig. ratios of Sine, Cosine and Tangent

From sinβ = opposite/hypotenuse

where; β is the angle made on the course

sin50°=y/10

Where y is the distance towards north

this implies that 10sin50=y

10 x 0.7660=y

y=7.66km

also towards the East

using cosne ratio

cos40=adj/hypo

cos40=x/10

where x is the distance towards east

10 x cos40=x

10x 0.7660

x=7.66km

The ship traveled a distance of 7.66km in each of the directions

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The number of photos that Sam takes in the afternoon is 224.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

In this case, Sam is taking photos for the yearbook and she takes 140 photos in the morning and in the afternoon, she takes 60% more photos.

The photos taken in the afternoon will be:

= Morning photos + Increase in photo

= 140 + (60% × 140)

= 140 + 84

= 224

He took 224 photos.

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Answer:

  450

Step-by-step explanation:

You want the value of (5 × 10⁰) × (9 × 10¹).

  (5 × 10⁰) × (9 × 10¹) = (5) × (9×10) = 450

__

Additional comment

Any number to the 0 power is 1. Any number to the power of 1 is that number.

Your calculator can help you evaluate numerical expressions.

Answer:

y-y=x2-14x+14x+1-17

x2-16=0

x2=16

x=4

profit margin does the stadium anticipate for this year 575050

Given,

This year, a stadium manager has booked five performances with a projected aggregate revenue of $1,050,050.

Profit: 1000 - 425 (85 x 5) = 575

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The equation of the linear function is  f(x) = 3x + 6

Given,

In the question:

The values are given as:

f(0)=6 and f(7)=27

To write a linear function.

Now, According to the question:

Write the equation of linear function:

y = mx + b

Substitute (0,6) and (7, 27) into y = mx + b:

6 = m x 0 + b

27 = m x 7 + b

Solve the equation:

6 = b

27 = 7m + b

Swap the sides :

b = 6

27 =7m +b

Substitute into one equation:

27 = 7m + 6

7m = 27 - 6

7m = 21

m = 3

Substitute b = 6 , m = 3 into y = mx +b

f(x) = 3x + 6

Hence, The equation of the linear function is  f(x) = 3x + 6

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Answer: The answer should be 1.24.

Step-by-step explanation:

1.24209 rounded to the nearest hunredth is 1.24.

Answer:

1.24

Step-by-step explanation:

there are 33.814 fluid ounces in one liter. But she mixes 24 + 18 = 42 fluid ounces which is 1.24209 liters rounded to the nearest hundredth is 1.24

Answer:1/4 ×256/1= 64 women that left party

256-64= 192 women who remained

192+198=390 men and women at the party

Step-by-step explanation:

The total 12 people answered the survey in total when in a survey, 7 people said that their favorite card game was patience.

Given that,

In a survey, 7 people said that their favorite card game was patience.

We have to find how may people answered the survey in total.

Pie charts can be used to show percentages of a whole group and show percentages at a particular moment. In contrast to bar graphs and line graphs, pie charts do not show changes over time. The pages that follow provide a description of a pie chart's many elements.

We divide the patience by 7

210/7

30

So, For each person in patience we have 30°.

The total is

60°+30°+60°+210°

2+1+2+7

12

Therefore, The total 12 people answered the survey in total when in a survey, 7 people said that their favorite card game was patience.

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Answer: Wat is dat green unlined as

Step-by-step explanation:

Answer:

1. a) rectangle, circles.

1. b) circumference.

2. half.

3. 2πr² + 2πrh

4. See below.

Step-by-step explanation:

a) The net of a cylinder is made up of one rectangle and two circles.

b) The width of the rectangle in the net of a cylinder is equal to the circumference of the circle.

The radius of a circle is half the diameter.

[tex]\textsf{Circumference of a circle} = \pi d=2 \pi r[/tex]

Therefore, the formula for the surface area of a cylinder is:

[tex]\begin{aligned}\textsf{S.A. of a cylinder}&=\sf 2\;circles+1\;rectangle\\&=2 \pi r^2+2\pi rh\\&=2\pi r(r+h)\end{aligned}[/tex]

where r is the radius of the circle and h is the height of the cylinder.

Note: It appears from the question sheet that they wish you to use π=3.

Also, as you need to estimate the total surface area, round any decimals to their nearest whole number before carrying out any calculations.

Please note that the formula for Area of Rectangle quoted in the example question is incorrect when comparing it to the answer of question 1b.  In the formula, it says that the length is equal to the circumference of the circle, whereas in question 1b it states that the width of the rectangle is equal to the circumference.  Therefore, I have used the correct formula for the rectangle part of the cylinder:

Given:

Area of One Circle

[tex]\begin{aligned} \pi \times r^2&=3 \times (5)^2\\&=3 \times 25\\&=75\; \sf cm^2\end{aligned}[/tex]

Area of Two Circles

[tex]75 \times 2 = 150\; \sf cm^2[/tex]

Area of Rectangle

[tex]\begin{aligned}2r \times \pi \times h&=2(5) \times 3 \times 6\\&=10 \times 3\times 6\\&=30 \times 6\\&=180\; \sf cm^2\end{aligned}[/tex]

Total Surface Area

[tex]\;\;\;\;180+150\\=330\sf \; cm^2[/tex]

Given:

Area of One Circle

[tex]\begin{aligned} \pi \times r^2&=3 \times (6)^2\\&=3 \times 36\\&=108\; \sf cm^2\end{aligned}[/tex]

Area of Two Circles

[tex]108 \times 2 = 216\; \sf cm^2[/tex]

Area of Rectangle

[tex]\begin{aligned}2r \times \pi \times h&=2(6) \times 3 \times 12\\&=12 \times 3\times 12\\&=36 \times 12\\&=432\; \sf cm^2\end{aligned}[/tex]

Total Surface Area

[tex]\;\;\;\;432+216\\=648 \sf \;cm^2[/tex]

Given:

Area of One Circle

[tex]\begin{aligned} \pi \times r^2&=3 \times (11)^2\\&=3 \times 121\\&=363\; \sf cm^2\end{aligned}[/tex]

Area of Two Circles

[tex]363\times 2 = 726\; \sf cm^2[/tex]

Area of Rectangle

[tex]\begin{aligned}2r \times \pi \times h&=2(11) \times 3\times 17\\&=22 \times 3 \times 17\\&=66 \times 17\\&=1122\; \sf cm^2\end{aligned}[/tex]

Total Surface Area

[tex]\;\;\;\;1122+726\\=1848\sf \;cm^2[/tex]

Answer:

Step-by-step explanation:

Find the prime factors of each number:

The greatest common factor of the three numbers is:

Answer:

Step-by-step explanation:

ED :  DL = FD : DM

or

ED / DL = FD / DM

FD = ED·DM / DL

FD = 88 ·  84  / 48 = 154

The exact value of the trigonometric equation cos 0.5θ is equal to 2 / 3.

In this problem we have the exact value of a trigonometric function, from which we must determine the exact value of the half angle by means of the following equation:

cos 0.5θ = √[(1 - cos θ) / 2]

If we know that cos θ = 0.8 and cos 0.5θ > 0, then the exact value of the cosine of the half angle is:

cos 0.5θ = √[[1 - (1 / 9)] / 2]

cos 0.5θ = √[(8 / 9) / 2]

cos 0.5θ = √(8 / 18)

cos 0.5θ = √(4 / 9)

cos 0.5θ = 2 / 3

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An exponential function can be represented by the below four situations.

An event organizer finds each year's attendance for the past five years is about 4/5 of the previous year's attendance; and A total population is increasing by about 7.5% each year.

An exponential function is one in which the amount increases or decreases by being multiplied by a fraction or decimal.

In the first situation, 4/5 of the number is found per year; this means we multiply by 4/5.  This is exponential.

In the second situation, the number of miles increases by 38 per gallon of gas used.  This is adding 38, so it is not exponential.

In the third situation, the amount in the checking account is decreased by subtracting $25.75 for every month that passes; this is not exponential.

In the fourth situation, the number of toads increases by 7.5%; this is done by multiplying by 1.075 each time.  This is exponential.

Hence the answer is an exponential function can be represented by the above four situations.

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The graph of the given linear function is attached below.

A linear function is modeled by the following rule:

y = mx + b

In which m is the slope, which is the rate of change, that is, the change in y divided by the change in x.

Also, b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

We are given the linear function d(x)=−12x−3

The graph is given below.

Two points on the graph are (2, 4) and (4, 7).

Now,

Hence, Slope of graph = -12

The graph of the given linear function is attached below.

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Pre-image Is to image as function is to: B. Relation.

Dilations preserves the following: A. Parallel Lines, C. Perpendicular Lines, and D. Angle.

The scale factor for this dilation (x, y) → (2x, 2y) is: C. k = 2.

In Geometry, dilation simply refers to a type of transformation which changes the size of a geometric object and the location of its points based on the scale factor, but not its shape.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (kx, ky)  = (2x, 2y)

Where:

In conclusion, we can reasonably infer and logically deduce that dilations preserve angle measure, perpendicular lines, betweenness of points, parallel lines, and collinearity in any geometric figure.

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Answer: A. 5/99

Step-by-step explanation: This is bc it is repeating and 5 is an odd number.

f(-1) = -11 and f(3) = -3 . these functions are true .

What does a math function mean?

given function  f(x) = 2x - 9

   f(-1) = -11 ⇒ x = -1 put in function

                       f( -1 ) = 2 * -1 - 9  ⇒ - 11

    f(2) = 5   ⇒ x = 2 put in function

                    f( 2 ) = 2 * 5 - 9 = 1

    f(3) = -3  ⇒  x = 3 put in function

                     f ( 3 ) = 2 * 3 - 9 = -3

       f(-3) = 15   ⇒  x =  -3 put in function

                     f( -3) = 2 * -3 - 9 = - 15

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The GCF of the questions are as follows:

1. 2

2. 12

3. 2

4. 3y

5. 4

6. 2x

7. 1

8. 4ab

9. 7c

10. 1

11. (x+9)(x-9)

12. (x+2)(x-2)

13. (x+12)(x-12)

14. (1+7x)(1-7x)

15. (4x+5)(4x-5)

16. (3x+10)(3x-10)

17. (6x+7)(6x-7)

18. 2(x+5)(x-5)

19. (2x+10)(2x-10)

20. (4x+10)(4x-10)

Define GCF.

The term "greatest common factor" is abbreviated as "GCF." As the greatest number that is a factor of two or more other numbers, the GCF is thus named. The greatest factor that 24 and 36 share, for instance, is 12, hence the GCF of 24 and 36 is 12. 12 is the highest common factor between 24 and 36, while there are others. Since we frequently utilize fractions in our daily lives and hence frequently employ the greatest common factors (GCF), this makes GCF incredibly handy.

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Answer:

-7x>=22-1

-7x>=21

x>=21/-7

x>=-3

The probability that five tails will show is 1/32.

Given that the 5 coins are tossed. The probability of getting the head or the tails is 1/2 for each toss.

This means, total number of observations  = 2⁵  = 32.

Required outcome is → 5 Heads {H,H,H,H,H}

This can occur only ONCE! when all the coins show the heads.

Thus, required outcome  = 1

so, the Probability (5 Heads)  = 1/32.

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Answer: 40°

Step-by-step explanation:

First angle can be represented as x, second angle can be represented as y, and the third angle can be represented as z.

x + y + z = 180°

Since the first and second angles are equal, x = y, we can replace y with x.

x + x + z = 180°

The third angle is 2.5 times the first, which can be written as 2.5x.

x + x + 2.5x = 180 (now we solve for x)

4.5x = 180

x = 40°

Check:

40 + 40 + 40(2.5) = 180°

180°=180°

$1 is still with you in your pocket.

From the Question:

cost of Shirt=$97

$49 my mom $49 = $50

Amount borrowed from Mum = $50

Total Amount borrowed from dad and mum:

$50 + $50 =  $100

change in hand:

Total t Amount borrowed from dad and mum - the cost of the Shirt

$100-$97 = $3.

Recall:

I gave $1 to dad and $1 to mom and kept $1 for myself

Money owed  my dad = Amount borrowed from Dad - Amout given to Dad

                                      =$50 -  $1

                                     = $49

Money owed my Mum =Amount borrowed from Mum -Amount given to Mum

                                      =$50 -  $1

                                     = $49

change in hand will be = Amount borrowed from dad and mum - (cost of Shirt +Amout given to Dad +Amount given to Mum)

change in hand will be = $100 -( $97+  $1 +  $1 )

                                       = $1

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80 five-card hands (drawn from a standard deck) contain exactly two aces

Permutations and combinations are  ways of representing groups of objects by selecting them  and subsetting them into sets. It defines different ways of arranging a particular data group. When we choose data or objects from a particular group, it is called a permutation and the order in which they are presented is called a combination. Both concepts are very important in mathematics.

It's always helpful to try to visualize the problem and how to approach it.

Think of the card arrangements as an array of length 5 named A.

Lets get the total number of ways that 2 slots of the 5 can be selected (Number of possible arrangements of 2 elements in an array of size 5) in A. That's a simple combination. That is:

(5/2)

Now lets get the total number of ways the available Aces can be arranged at those 2 selected slots in A.

(4/2)

Multiplying both combinations given above gives us the number of ways 2 cards of a set of 4 cards can be placed at 5 slots:

(5/2)(4/2)

NOTE: This is not the numbers of 5-card hands that has exactly 2 Aces. This is the total number of arrangements of 2 Aces of the 4 in A.

We have yet to compute the number of arrangements of the remaining cards. We took out 4 cards (The Aces) of the 52 card deck so that leaves us with 48 remaining cards to be arranged at A and took 2 slots from A. So that gives us:

(48/3)

So the answer is:

(5/2)(4/2)(48/3) = 80 five-card hands (drawn from a standard deck) contain exactly two aces

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