Hello can you tell me what the answer of this How many subets dose the set a have a= ( a,b,c,d)

Answer:

5 1/2

Step-by-step explanation:

Step-by-step explanation:

k/9 + 76 = 1/3 K

K/9 - 1/3 K = -76

K/9 - 3K/9 = -76

(K-3k)/9 = -76

-2K / 9 = -76

-2K = -76 × 9

-2K = -684

K = -684/-2

K = 342

The amount after 5 years on $100 using the compound interest is $122.

According to the question,

We have the following information:

Principal = $100

Interest Rate = 4%

Time= 5 years

We know that the following formula is used to find the total amount if there is compound interest:

Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years

(Note that there are different formulas for compound interest depending on how it is calculated.)

A = \(100(1+\frac{4}{100})^{5}\)

A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)

A = 100*1.22

A = $122

Hence, the amount after 5 years on $100 using the compound interest is $122.

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Answer:

first type of fruit juice (35%) = 4

second type of fruit juice (100%) = 4

Step-by-step explanation:

4×35 = 140

4×100 = 400

400-140 = 260

Answer:C

Step-by-step explanation: slope of 0 will always be horizontal

Answer:

1 * 3 ==> 4th option

Step-by-step explanation:

Matrix dimensions are:

number of rows by number of columns

The number of rows is 1   :   ( -4     1/4    -1 is the row)

The number of columns is 3  :  (-4, 1/4, and -1 are the columns)  

Hence, the dimensions is 1 * 3.

Answer:

1 x 3

Last choice

Step-by-step explanation:

The dimensions of a matrix are represented by number of rows x number of columns

There is only one row here (don't be confused by the 1/4) and there are three columns

So 1 x 3

(last choice)

21 students completed the essay by due date

In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple. How to calculate the value of one pen, for example, if 40 cost Rs. 400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used.

30 ----------> whole

30 ----------> 100 %

0.3 -----------> 1%

multiplying both sides by 70

21 ----------> 70 %

therefore 21 students completed the essay by due date .

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Answer:

6.5 meters

Step-by-step explanation:

Answer:

The second one is true

Step-by-step explanation:

Do you still need the answer?

The equation of the linear function in the given graph, in slope-intercept form, is: A. y = 2/3x - 2

The equation of a linear function can be defined by the equation, in slope-intercept form, as y = mx = b.

here, we have,

we know that,

slope = m

y-intercept = b

Slope (m) = rise/run = 2 units/3 units = 2/3

Y-intercept (b) = -2

Substitute b = -2 and m = 2/3 into y = mx + b.

y = 2/3x + (-2)

y = 2/3x - 2 (Option A)

Hence, The equation of the linear function in the given graph, in slope-intercept form, is: A. y = 2/3x - 2

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Complete question:

This graph represents a linear function.

Which equation is represented by this graph?

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

Answer:

45 grams

Step-by-step explanation:

1st order: 27 people

15 people:

100 g

Ginger: 20 g

Turmeric: 25 g

Coriander: 35 g

Cumin Seeds: 20 g

20+25+35+20=60+40=100

For 1 person:

Ginger: 1 1/3 g

Turmeric: 1 2/3 g

Coriander: 2 1/3 g

Cumin Seeds: 1 1/3 g

Multiply all that by 27

For 27 people:

Ginger: 36 g

Turmeric: 45 g

Coriander: 63 g

Cumin Seeds: 36 g

45 g for Turmeric

The three questions are illustrations of arithmetic operations and geometric progressions

(1) Acid concentration

The given parameters are:

pH of acid lemon juice = 2

pH of acid urine = 5.5

The difference between their pH is calculated as follows:

Difference = 5.5 - 2

Difference = 3.5

Multiply the difference by 10, to calculate the acidity

Acidity = 3.5 * 10

Acidity = 35

Hence, the acid like lemon juice is 35 times stronger than urine

(2) Depreciation

The depreciation is given as:

r = 18%

In 1998, the car's worth is $19995.

This is represented as:

a = 19995

2012 is 14 years from 1998.

This is represented as:

n = 14

So, the worth of the car in 2014 is calculated using:

\(\mathbf{Worth =a(1 -r)^n}\)

So, we have:

\(\mathbf{Worth =19995 \times (1 -18\%)^{14}}\)

Express percentage as decimal

\(\mathbf{Worth =19995 \times (1 -0.18)^{14}}\)

\(\mathbf{Worth =19995 \times 0.82^{14}}\)

Evaluate

\(\mathbf{Worth =1243}\)

Hence, the worth of the car in 2012 is $1243

(3) Spread of Gossip

The spread of the gossip is an illustration of geometric progression, where

a = 1 ---- the first term

r = 3 --- the common ratio

L =1200 --- the last term

So, we calculate the number of terms from 1 to 1200 using the following nth terms of geometric progression

\(\mathbf{L = ar^{n-1}}\)

This gives

\(\mathbf{1200 = 1 \times3^{n-1}}\)

\(\mathbf{1200 = 3^{n-1}}\)

Take logarithm of both sides

\(\mathbf{log(1200) = log(3^{n-1})}\)

Apply law of logarithm

\(\mathbf{log(1200) = (n-1)log(3)}\)

Divide both sides by log(3)

\(\mathbf{n - 1 = log(1200) \div log(3)}\)

\(\mathbf{n - 1 =6.45}\)

Add 1 to both sides

\(\mathbf{n =7.45}\)

Since the gossip spreads every two minutes.

The total time is:

\(\mathbf{Total =2minutes \times 7.45}\)

\(\mathbf{Total =14.9\ minutes}\)

Hence, it will take 14.9 minutes for the gossip to spread to 1200 students

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The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

I think it's "C = TW"

Answer:

yes

Step-by-step explanation:

The complete Relative frequency table is attached at the end.

To calculate the relative frequency for each category, divide the frequency of that category by the total frequency:

Relative frequency = Frequency of the category / Total frequency

For example, the relative frequency for "1" is calculated as:

Relative frequency = 31 / 150 = 0.2067

To calculate the cumulative frequency for each category, add the frequencies from the current category and all previous categories:

= Frequency of the current category + Cumulative frequency of the previous category

For example, the cumulative frequency for "1" is calculated as:

Cumulative frequency = 31 + 29 = 60

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The given line is,

Here, the slope is, 4 and y intecept is 6.

For x = 4, we have,

Therefore, the two points on the graph is, (0, 6) and (4, 22).

Now, for y = 1, we have,

Answer:

x = 2

Step-by-step explanation:

34 - 14 = 20

20/10 = 2

14 + 2*10 = 34

Answer:

2

Step-by-step explanation:

34 =14 +10x

34 - 14 =10x

20 =10x

x=20:10

x=2

The equation of the composite function f(g(x)) is f(g(x)) = 28x^5 - 3 and the interpretation is the amount of money earned when Samantha works for x hours

The functions are given as:

f(x) = 7x^2 - 3

g(x) = √4x^5

To determine the composite function f(g(x)), we have:

f(x) = 7x^2 - 3

Substitute g(x) for x in the above equation f(x) = 7x^2 - 3

f(g(x)) = 7(g(x)^2 - 3

Substitute √4x^5 for g(x) in the above equation f(g(x)) = 7(g(x)^2 - 3

f(g(x)) = 7(√4x^5)^2 - 3

Expand the exponent

f(g(x)) = 7 * 4x^5 - 3

Evaluate the product

f(g(x)) = 28x^5 - 3

Hence, the equation of the composite function f(g(x)) is f(g(x)) = 28x^5 - 3

And the interpretation is the amount of money earned when Samantha works for x hours

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Answer:

3rd one

Step-by-step explanation:

Answer:

I also need help with this

Step-by-step explanation:

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

The table is hereby filled as follows:

Input/output table:

x. f(x)

-2. 0.5

-1 1

0 2

1 4

2. 8

2. To find the corresponding values of f(x), we can substitute each x-value into the given function y = 2 • (1/2)ˣ and simplify.

For example, when x = 0, f(0) = 2 • (1/2)⁰ = 2 • 1 = 2.

f(x) is a decreasing (or decaying) function because as x increases, the output values of f(x) decrease. This can also be seen in the table above where f(x) decreases from 4 to 2 as x increases from 1 to 2.

3. The initial value of f(x) is 2, which corresponds to the x-value of 0 in the table. This is because when x = 0, f(x) = 2 • (1/2)⁰ = 2.

4. The multiplier of f(x) is 1/2. This is because the function y = 2 • (1/2)ˣ can be rewritten as y = 2^(1) • (1/2)ˣ, where the base is 1/2. The multiplier is therefore equal to the base, which in this case is 1/2.

5. Word problem: A population of bacteria doubles every hour. Initially, there are 2 bacteria in the population. Write an equation to model the number of bacteria in the population after x hours.

Solution: The equation that models the number of bacteria in the population after x hours is f(x) = 2 • (1/2)ˣ, where f(x) represents the number of bacteria and x represents the number of hours that have passed. The initial value of f(x) is 2, which represents the initial number of bacteria in the population. The multiplier of f(x) is 1/2, which represents the rate at which the population is decreasing (since the bacteria are dying off).

6. The color you can use to draw f(x) is usually red or blue.

7. To translate f(x) 3 units up, we can add 3 to the function. The equation for g(x) is g(x) = f(x) + 3.

8. To translate f(x) 2 units left, we can replace x with (x + 2) in the function. The equation for h(x) is h(x) = f(x + 2) = 2 • (1/2)^(x+2) = 2 • (1/2)² • (1/2)^x = (1/2)² • f(x).

9. Input/output tables for g(x) and h(x):

For g(x):

x f(x) g(x)

-2 0.5 3.5

-1. 1. 4

0 2 5

1 4 7

2 8 11

For h(x):

x f(x) h(x)

-2 0.5 0.5

-1 1 1

0. 2. 2

1 4. 4

2 8 8

Domain and range for f(x), g(x), and h(x):

Domain for all three functions is all real numbers (-∞, ∞), as there are no restrictions on the possible input values for x.

Range for f(x) is (0, ∞), since the output values are always positive and never equal to 0.

Range for g(x) is (3, ∞), since we added 3 to all the output values of f(x).

Range for h(x) is (0, ∞), since we multiplied all the output values of f(x) by a positive constant (1/4), which does not change the sign of the output values

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The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer:

P.7500.00

Step-by-step explanation:

We are told that:

The ratio of Val's savings to Dan is 2:3 at first.

Now, Dan spent P3000.00 and Val's saving became 1⅓ more of that Dan's remaining savings.

Let's say the total amount of savings they had at first was x.

Thus;

Val had: 2x/5

Dan had: 3x/5

Now, Dan spent P3000.00.

So amount Dan has left = (3x/5) - 3000

We are told Val's savings is now 1⅓ = 4/3 times that of Dan's remaining savings

Thus; 2x/5 = (4/3)((3x/5) - 3000)

2x/5 = 12x/15 - 4000

Multiply through by 15 to get;

6x = 12x - (3000 × 15)

6x = 12x - 45000

Rearranging, we have;

12x - 6x = 45000

6x = 45000

x = 45000/6

x = P.7500

The total amount of saving the two had at first is P7500 and this can be determined by using the arithmetic operations and given data.

Given :

Given that the ratio of Val's savings to Dan is 2:3 at first. Now, assume that the total amount of savings they had at first was x. So:

Val's had - 2x/5

Dan's had - 3x/5

Now, it is also given that Dan's spent P3000. So, the amount left is:

\(\rm =\dfrac{2x}{5}-3000\)

It is given that Val's saving became 4/3 more of that Dan's remaining savings. That is:

\(\dfrac{2x}{5} = \dfrac{4}{3} \times\left( \dfrac{3x}{5}-3000 \right)\)

\(\dfrac{6x}{20} = \dfrac{3x}{5}-6000\)

\(x = \dfrac{45000}{6}\)

x = P.7500

The total amount of saving the two had at first is P7500.

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Answer:

4.5

Step-by-step explanation:

If they are symilar their sides are in proportion so write the proportion

\(\frac{x}{5} =\frac{2.7}{3}\)   you can pick any other 2 sides as long as you take them in the same order

x= 5*2.7/3=4.5

Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.