The formula f(x + 1) = Two-thirds(f(x)) defines a geometric sequence where f(1) = 18. Which explicit formula can be used to model the same sequence?

f(x) = (18)(two-thirds)(x – 1)
f (x) = 18 (x minus 1) Superscript two-thirds
f (x) = 18 (two-thirds) Superscript x minus 1
f(x) = (18)x – 1

Answer:

84

Step-by-step explanation:

Multiply 60/100 with 140

Answer:

This equation has No Solutions.

Step-by-step explanation:

It is parrel because it has the same x. When equations have the same x it is always parrel or it always has no solutions.

I hope it helps! Have a great day!

Lilac~

The solution to the system of equation is (4, 0)

Given the system of equation expressed as:

y=-x+4

y=x-4

Equate both expressions to have;

-x + 4 = x - 4

collect the like terms

-x - x = -4- -4

-2x = -8

x = 4

Since y = x - 4

y = 4-4

y = 0

Hence the solution to the system of equation is (4, 0)

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Answer:

I would say stratified sample or cluser sampling.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

You need to multiply 7 x 5, You get 35. Hope this helps!

The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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Step-by-step explanation:

draw a table including all numbers

ANSWER 30 GOT MIXED UP WITH NUMBERS SORRY

Answer:

Sarah earns 30 pounds, Emma earns 18 pounds, and Mark earns 12.

Step-by-step explanation:

Lets say that Emma earns 3x pounds, Sarah earns 5x pounds, and Mark earns 2x pounds.

All of their wages add up to 60 pounds.

3x+5x+2x=60pounds

10x=60

x=60/10

x=6 pounds

Multiply this with the amount of hours Sarah worked: 6×5, and you get that Sarah earned 30 pounds.

- 4x + 3y = - 11

3x - 2y = 8

A. Multiply the top equation by -3 and the bottom equation by 4

B. Multiply the top equation by 3

C. Multiply the top equation by 2 and the bottom equation by 3

D.Multiply the bottom equation by 4

Answer:

C. Multiply the top equation by 2 and the bottom equation by 3

Step-by-step explanation:

-4x+3y=-11

3x-2y=8

If you multiply the top equation by 2 and the bottom equation by 3 you get

-8x+6y=-22

9x-6y=24

And you can see once you add these equations together the y variable will be canceled out

Answer:

Reflected then translated

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

the negatives cancel each other out

Answer:

-2 - 24i

Step-by-step explanation:

a + bi + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

a + bi + 7 + 5  - 3i + 9i + 13i = 10 - 5i

                a + bi  + 12  + 19i = 10 - 5i

                         a + bi          = 10 - 5i - 12 - 9i

                                 a + bi = 10 - 12 - 5i - 9i

                                 a + bi = -2 - 24i

∠1 and ∠8 are alternate exterior angle.

∠2 and ∠4 are corresponding angle.

∠3 and ∠6 are alternate interior angle.

∠6 and ∠7 are consecutive interior angle.

When a transversal intersects two or more lines, alternate exterior angles are produced. These angles are created on the various transversal sides' outer sides.Any two parallel lines that cross a transversal produce a few pairs of angles with the transversal. In the area inside the parallel lines, interior angles are generated, whilst alternate external angles are created in the area outside the parallel lines.

Corresponding angles are those that are created when two parallel lines are intersected by another line, whether it be a transversal or a matching corner (i.e. the transversal). Angle p and angle w, for instance, are the matching angles in the illustration below.

The pair of angles created on the inner side of the parallel lines and on the opposite sides of the transversal when two parallel lines are intersected by a transversal are referred to as alternate internal angles. All of these angles are equal. There is another way to look at this. The alternative interior angles can establish the parallelism or non-parallelism of the given lines. The supplied lines that are crossed by a transversal are said to be parallel if these angles are equal.

The pair of interior angles that are not contiguous to one another and are on the same side of the transversal are referred to as consecutive interior angles. Things that follow one another are referred described as being "consecutive." On a transversal's internal side, adjacent interior angles are found next to one another.

∠1 and ∠8 are alternate exterior angle.

∠2 and ∠4 are corresponding angle.

∠3 and ∠6 are alternate interior angle.

∠6 and ∠7 are consecutive interior angle.

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The solution for x, y, and z is x = 2, y = 2, and z = 2.

To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:

Simplify the expressions within the parentheses using the power of operator ("^").

\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)

Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)

\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)

Simplify the expression within the parentheses.

\((15610)^{16 }= 900^{16\)

Express both sides of the equation in terms of prime factors.

\(900 = 2^2 \times 3^2 \times 5^2\)

quate the powers of the prime factors on both sides of the equation.

\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)

From this, we can conclude that x = 2, y = 2, and z = 2.

Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.

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The above question was not written properly

Complete Question

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar (s).

\(7\frac{9}{4}\)

The expression above can also be written in the form \(\sqrt[c]{a^{b}}\)

For this expression, a = , b = , and c =

Answer:

\(\sqrt[4]{7^{9}}\)

Where

a = 7 , b = 9 and c = 4

Step-by-step explanation:

From the above question we are given the fraction \(7\frac{9}{4}\)  and asked to write it in this form \(\sqrt[c]{a^{b}}\) .

In Mathematics when we have a mixed fraction \(a\frac{b}{c}\) , it is always written in the root from as \(\sqrt[c]{a^{b}}\)

Applying this to the above question,

\(7\frac{9}{4}\)  = \(\sqrt[4]{7^{9}}\)

Where

a = 7 , b = 9 and c = 4

The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is  y = -7/5(x) -53/5

Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)

The slope-intercept form of a straight line is:

y = mx + c

where m is the slope and c is the y-intercept

For perpendicular case:

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₁ x m₂ = -1

-7/5 x m₂ = -1

m₂= 5/7

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = 5/7 (-4) + c

-5 = -20/7 + c

c = -15/7

Thus, the equation of the line is y = 5/7(x) -15/7

For parallel case:

When the two lines are parallel, they have equal slope i.e. m₁ = m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₂= -7/5

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = -7/5(-4) + c

-5 = 28/5 + c

c = -53/5

Thus, equation of the line is y = -7/5(x) -53/5

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Answer:

550 students are in the school.

Step-by-step explanation:

The way I found my answer was by first turning 74% into a decimal, which is 0.74.  Then I divided 407 by 0.74 and I got 550.  Therefore, 550 is our answer.

Answer:

NOTE: I cannot tell from your image whether there is a plus sign or divided sign for the last number on 9, 10 & 11, so I answered them BOTH ways (addition first, then by division).

9) (2^4)*(2^5)*(2^6) + 2^15 = 65536  OR (2^4)*(2^5)*(2^6) / 2^15 = 1

10) (-2^-4)*(-2^2)+(-2^0) = -3/4 OR (-2^-4)*(-2^2)/(-2^0) = -1/4

11) (2^40)*(2^13)+(2^6) = 9007199254741056 OR (2^40)*(2^13)/(2^6) = 140737488355328

12) ((3^2)^3)/3^4 = 9

13) ((4^5)^4)*((4^2)^6) = 18446744073709551616

14) ((5^6*5^4))/5^7 = 125

Step-by-step explanation:

Please remember to vote this answer as Brainliest if I earned it!   :)

Answer:

huh????

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard error of the mean is defined as the ratio of standard deviation to the square root of the sample size of a data. The standard error of the mean is mathematically expressed as shown below;

\(X = \frac{\sigma}{\sqrt{n} }\)

X is the standard error of the mean

\(\sigma\) is the standard deviation

n is the sample size.

Given;

\(\sigma = 121\\n = 256\)

On substitution into the formula we have;

\(X = \frac{121}{\sqrt{256} }\)

\(X = \frac{121}{16} }\\\)

X ≈ 7.56

Yes, every vector in R^4 can be written as a linear combination of the columns of the matrix B.

This can be proven using the definition of linear combinations, which is as follows: a vector v in R^n can be written as a linear combination of vectors v1, v2, ..., vk if and only if there exist scalars c1, c2, ..., ck such that v = c1*v1 + c2*v2 + ... + ck*vk. With this definition, we can prove that the columns of B span R^4 by showing that for any vector v in R^4, there exist scalars c1, c2, c3, c4 such that v = c1*B1 + c2*B2 + c3*B3 + c4*B4, where B1, B2, B3, B4 are the columns of the matrix B above. To prove this, we can simply solve the system of equations given by c1*B1 + c2*B2 + c3*B3 + c4*B4 = v for c1, c2, c3, c4. This can be done by using Gaussian elimination, which will yield a set of scalars c1, c2, c3, c4 that can be used to express any vector in R^4 as a linear combination of the columns of the matrix B, thus proving that the columns of B span R^4.

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When the base and the height of a triangle are the same. the hypotenuse is that number times sqrt2.

B and C are 7, so a would also be 7

Answer:(0,2) is the vertex for the graph of y = |x| + 2.

Step-by-step explanation:  |x| = 0, y + 2 = 2

Therefore, It would be ( 0,2)

Answer:

trust the otherguy

Step-by-step explanation:

Answer:

It’s 105

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer to \(2^{5} *3^{2} *5\) is 1440.

I believe she is correct because 1440 can be divided by another number without any remainders.

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

Answer:

i dont know

Step-by-step explanation:

In order to determine the values of x and y, proceed as follow:

- Consider that the bigger and smaller triangle are similar, then, they have similar sides in which thier proportion are equal. Based on the given image you can write:

By solving for y, you get:

- Now, use the Pythagorean theorem to find the value of x:

Hence, the values of x and y are:

x = 4√35

y = 4√14

Fourth option

Answer:  The correct answer is m=6.

Step-by-step explanation:

Hexagon (6-sided) = (7m+3)*6

Pentagon (5-sided) = (8m+6)*5

Solve the equation:

(7m+3)(6)=(8m+6)(5)

1. Simplify both sides of the equation.

(7m+3)(6)=(8m+6)(5)

(7m)(6)+(3)(6)=(8m)(5)+(6)(5)(Distribute)

42m+18=40m+30

2. Subtract 40m from both sides.

42m+18−40m=40m+30−40m

2m+18=30

3. Subtract 18 from both sides.

2m+18−18=30−18

2m=12

4. Divide both sides by 2.

2m/2=12/2

m=6

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The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Answer:

2 units

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

We have to find a  number which is greater than the absolute value of -3/8.

Absolute value of -3/8 = 3/8

3/8=0.375

Now, we have to find a number which is greater than 0.375

1/4=0.25

0.25 is smaller than 0.375

0.5 is greater than 0.375

also -5/8 and -1/8 are less than 0.375

Hence, the only number which is greater than the absolute value of -3/8 is:

0.5

Step-by-step explanation: