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Step-by-step explanation:

The sequence is AP(arithmetic progression) with a common difference of -3

The given sequence is in arithmetic sequence and the common difference is 3.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is,

⇒ 12, 9, 6, ...

Here, The common difference is find as;

⇒ 9 - 12 = - 3

⇒ 6 - 9 = - 3

Which is same.

So, The sequence is an Arithmetic sequence.

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Answer: "reduced by a factor of One-third."

Step-by-step explanation:

Suppose that the original magazine has a length L and a width W.

If it is photocopied using a scale factor of K, then the measures of the photocopy will be:

length = K*L

Width = K*W

In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:

length = (1/3)*L = L/3

Width = (1/3)*W = W/3

For usual notation:

When k > 1, we have an enlargement by a factor k

when 0 < k < 1, we have a reduction by a factor k

in this case, k = 1/3, then:

We have a reduction by a factor of 1/3

The correct option is:

"reduced by a factor of One-third."

Answer: D-reduced by a factor 1/3

Step-by-step explanation:

got it correct on edge 2021

Given that,

[tex]f(x) = \sqrt{x-3}[/tex]

To find,

The domain of f(x).

Solution,

We have, [tex]f(x) = \sqrt{x-3}[/tex]

To find domain,

The term under the square root must be positive or null as follows :

[tex]x-3\ge 0[/tex]

Adding 3 both sides

[tex]x-3+3\ge 0+3\\\\x\ge 3[/tex]

So, the domain is x-3>0 .

Answer:

Step-by-step explanation:

∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore

Ratio of corresponding sides is same. Get the equation below and solve for x:

Answer:

10 because it goes by 2 so 5 x2 is 10 so 3 x2 is 6 so its x 2

false

because they have different variables, they are different terms. if they were both 4y and 4y or 4x and 4x then they would be like terms. but here, they are not.

i hope this helps!

Answer: B.False

Step-by-step explanation:This is because 4 x and 4 y have different terms.4 x has the term x while 4y has the term y.

Hope it helps . :)

Answer:22 × 52

Step-by-step explanation:

Answer:

2 x 2 x 5 x 5

Step-by-step explanation:

since 2, 3, and 5 are prime numbers I always begin by seeing if the number to be factored has those as factors

100 is divisible by 2 so you can start there:

2 x 50

50 is divisible by 2 so you now have:

2 x 2 x 25

25 is divisible by 5 so you now have all prime factors whose product is 100

2 x 2 x 5 x 5

Answer

do you need the work or is the answer ok?

Step-by-step explanation:

i have to do the work for it

Answer:

2,3

Step-by-step explanation:

Answer:

umm

Step-by-step explanation:

Answer:

The cost of one rose is $11., and the cost of one geranium is $5.

Step-by-step explanation:

The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.

So that,

13x + y = 148 .............. 1

9x + 14 y = 169 ............... 2

From eqaution 1,

y = 148 - 13x ............... 3

substitute the value of y in equation 2

9x + 14(148 - 13x) = 169

9x + 2072 - 182x = 169

2072 - 169 = 182x - 9x

1903 = 173x

x = [tex]\frac{1903}{173}[/tex]

  = 11

x = 11

substitute the value of x in equation 3

y = 148 - 13x

  = 148 - 13(11)

  = 148 - 143

y = 5

x = 11, y = 5

Thus, the cost of one rose is $11., and the cost of one geranium is $5.

Answer:24

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the formula { a couple of times} cos 2 Θ = 2 cos ² Θ - 1 = 1 - 2 sin ² Θ....your answer will likely have a cos  2x , a cos 4x , and a cos 6x in it.....note : cos ² Θ - sin ²Φ = cos ( Θ + Φ) cos (Θ - Φ) will also be needed for appropriate choices of Θ & Φ in terms of x

Answer:

17

Step-by-step explanation:

17x3=51, 51+12=63

Answer:

24 divuded by .75 = 32 Meals

Step-by-step explanation:

3/4 of 1 pound is = to .75 pounds per meal

therefore we divide the 24 meals by the amount neaded for each meal.

Equasion becomes 24 ÷ .75 = 32

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The probability of picking a chocolate chip cookie is 1/3.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.

N represents no. of.

So, N(S) = 5 + 4 + 6 = 15.

N(CC) = 5, N(SR) = 4 and N(OR) = 6.

∴  The probability of picking a chocolate chip cookie is = N(CC)/N(S).

= 5/15.

= 1/3.

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Answer:

647637=

Step-by-step explanation:

Answer:

[tex]y<-\frac{4}{3}x+5[/tex]

Step-by-step explanation:

Since, the given line in the graph is a dotted, line will represent an inequality with no sign of equal to (=).

Since, the shaded area is below the dotted line, inequality will have the sign less than (<).

Therefore, equation of the inequality will be in the form of,

y < mx + b

Here, m = slope of the line

b = y-intercept

Slope of the line passing through two points (0, 5) and (3, 1),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   = [tex]\frac{5-1}{0-3}[/tex]

   = [tex]-\frac{4}{3}[/tex]

Y-intercept (at x = 0),

b = 5

Therefore, equation of the inequality will be,

[tex]y<-\frac{4}{3}x+5[/tex]

Answer:

Thats the answer

Step-by-step explanation:

The product of the numerical expressions 4.56 and 1000 will be given as 4560.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The numbers are 4.56 and 1000

Then the product of these two numbers will be

→ 4.56 × 1000

→ 4560

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Answer:

x= 19

Step-by-step explanation:

∠ WYZ and ∠ XWY are alternate angles and are congruent, so

∠ XWY = 2x

The sum of the 3 angles in a triangle = 180°

sum the angles in Δ XWY and equate to 180

2x + 3x - 5 + 90 = 180

5x + 85 = 180 ( subtract 85 from both sides )

5x = 95 ( divide both sides by 5 )

x = 19

Answer: 6 leaves

Step-by-step explanation:

23 - 17 = 6

Hope that helped! :p

The number of leaves more leaves does Sheila collect then Rodney is 6.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Given that, Rodney collects 17 leaves and Sheila collects 23 leaves.

Now, 23-17

= 6

Therefore, the number of leaves more leaves does Sheila collect then Rodney is 6.

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Answer:

[tex]\displaystyle (-1,\frac{-3}{2})[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (1, -4)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

Distance cover by Frank and family each day = 300 miles per day

Step-by-step explanation:

Given:

Total distance cover by Frank and family = 3,000 miles

Number of days = 10

Find:

Distance cover by Frank and family each day

Computation:

Distance cover by Frank and family each day = Total distance cover by Frank and family / Number of days

Distance cover by Frank and family each day = 3,000 / 10

Distance cover by Frank and family each day = 300 miles per day

Answer:

C. 300

Step-by-step explanation:

Divide the distance by the time it took to travel that distance: 3,000 miles ÷ 10 days = 300 miles per day.

Step-by-step explanation:

2x + 1 = 16

2x = 15 (subtract 1 on both sides)

x = 7.5 (divide 2 om both sides)

Since 7.5 is not an integer, (a) is No.

However 7.5 is rational, therefore (b) is Yes.

Answer:

[tex]2x + 1 = 16 \\ 2x = 15 \\ x =\frac{15}{2} \\ \boxed{x = 7.5 }[/tex]

a. Does the equation have a solution in the set of integers? ____

→As 7.5 is not a integer, the right answer is No.

b. Does the equation have a solution in the set of rational numbers? ____

→7.5 is a rational number, the right answer is Yes.