Nine subtracted from four times a number is -21 what is the number?

Step-by-step explanation:

I cannot really identify and read the provided answer options.

the solution to the sequence 2, 6, 10, 14, 18, ... is

an = 4×(n-1) + 2

recursive that is

a1 = 2

an = an-1 + 4

please pick the right option in your original problem definition that fits to this solution.

The recursive formula that represents the given sequence is:

[tex]a_n = a_{n-1} + 4[/tex]

An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed constant value to the previous term.

This fixed value is called the common difference, and it is the same for all terms in the sequence.

We have,

The given sequence has a common difference of 4 between its consecutive terms.

To represent this sequence using a recursive formula, we can start with the first term and use the common difference of 4 to find each subsequent term.

Let's assume that the first term of the sequence is a1. Then, we can represent the second term [tex]a_2[/tex] as:

[tex]a_2 = a_1 + 4[/tex]

Similarly, we can represent the third term (a3) as:

[tex]a_3 = a_2 + 4[/tex]

Substituting the value of a2 from the above equation, we get:

[tex]a_3 = (a_1 + 4) + 4 = a_1 + 8[/tex]

We can continue this pattern to find the recursive formula for the nth term of the sequence:

[tex]a_n = a_{n-1} + 4[/tex]

where [tex]a_1[/tex]= 2

Thus,

The recursive formula for the given sequence is:

[tex]a_n = a_{n-1} + 4[/tex]

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Answer:

v = -6       v = -4/5

Step-by-step explanation:

(6+v) ( 5v+4) = 0

Using the zero product property

6+v =0  5v+4 =0

v = -6      5v = -4

v = -6       v = -4/5

Answer:

20°

Step-by-step explanation:

perpendicular from the center on a chord of a circle always bisects the chord.

AR=BR

∴m arcAC=m arc BC=20°

Answer:

L = 295ft

W = 95ft

Step-by-step explanation:

Perimeter of a rectangle = 2(L+W)

If the length is 200 ft more than the width, then:

L = 200+W

Substitute

P = 2(200+W+W)

780 = 2(200+2W)

780 = 400+4W

4W = 780-400

4w = 380

W = 380/4

W = 95ft

Since L = 200+w

L = 200+95

L = 295ft

The number of times that the band played an encore at 7 out of the next 14 shows.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The band should do an encore at a rate of 2 out of every 4 gigs, or 2/4 = 1/2 shows, according to the available statistics.

We may use the following percentage to determine how many of the following 14 performances will likely have an encore:

1/2 = x/14

14 = 2x

x = 7

Therefore, we can expect the band to play an encore at 7 out of the next 14 shows.

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Answer:

A and B are exhaustive.

Step-by-step explanation:

Given

[tex]A = \{1,2,4\}[/tex]

[tex]B = \{2,3,4,5,6\}[/tex]

[tex]C =\{3,4\}[/tex]

[tex]D = \{2,4,5\}[/tex]

Solving (a): The mutually exclusive events

These are events that have no common or mutual elements

Events A to D are not mutually exclusive because each of the events have at least 1 common element with one another.

Solving (b): Exhaustive events.

Two events X and Y are said to be exhaustive if:

[tex]S = P(X\ n\ Y)[/tex]

i.e. if the sample space equals the intersection of X and Y

For events A to D, we have:

[tex]A\ n\ B = \{1,2,3,4,5,6\}[/tex]

and the sample space is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

By comparison;

[tex]A\ n\ B = S[/tex]

Hence, A and B are exhaustive.

Answer:

9 + 10 = 21

Step-by-step explanation:

9 + 10 = 21

Factor out 9 and 10

9 = 3 · 3   10 = 2 · 5

Next multiply 3 by 2

3 × 2 = 6

Then multiply 3 by 5

3 · 5 = 15

Finally add the products

15 + 6 = 21

Answer:

B. The nominal level of measurement is most appropriate because data cannot be ordered.

Step-by-step explanation:

Nominal scale is used when there is no specific order scale and data can be arranged according to name. Ordinal scale requires variables to be arranged in specific order. For fast food restaurant the best scale used is nominal scale as variables can be arranged according to their name without specific order.

Answer:

Step-by-step explanation:

Area = [tex]Area = \pi r^2 = \pi(3)^2 = 9\pi = 28.27\\Circumference = 2\pi r = 2\pi 3 = 6\pi = 18.85[/tex]

Answer:

[tex]area = 28.27 {m}^{2} \\ c = 18.84m[/tex]

Explanation is attached to the picture

Hope this helps you.

Answer:

C

Step-by-step explanation:

When ever a problem gives information about parallel lines, look for Alternate Interior angles.

Answer:

A

Step-by-step explanation:

Answer:

The x-intercept is the value of the variable x when the value of the function is equal to zero

so

In the table we have

(-1, 0)(−1,0) is a x-intercept, because

For x=-1x=−1 the value of the function is equal to zero

(-6, 0)(−6,0) is a x-intercept, because

For x=-6x=−6 the value of the function is equal to zero

therefore

the answer is

the continuous function in the table has two x-intercepts

(-1, 0)(−1,0)

(-6, 0)(−6,0)

9514 1404 393

Answer:

  (x, y) = (1, -3)

Step-by-step explanation:

The x-term has a coefficient of 1 in the first equation, making it easy to write and expression that can be substituted for x:

  x = -3y -8

Using this in the second equation, we have ...

  4(-3y -8) -3y = 13

  -15y -32 = 13

  -45 = 15y

  -3 = y

Then the value of x is ...

  x = -3(-3) -8 = 1

The solution is (x, y) = (1, -3).

Answer:

8

Step-by-step explanation:

Answer:

[tex]M = (0,0)[/tex]

Step-by-step explanation:

Given

[tex](4,-5)[/tex] and [tex](-4,5)[/tex]

Required

The midpoint (M)

This is calculated as:

[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]

So, we have:

[tex]M = \frac{1}{2}(4-4,-5+5)[/tex]

[tex]M = \frac{1}{2}(0,0)[/tex]

[tex]M = (0,0)[/tex]

Answer:

4.2

Step-by-step explanation:

The length of the arc of each slice of cake will be 4.18 inches if Khali shares the cake between him and 5 friends equally.

The circumference is the length of the outer boundary of the circle. It can be calculated as under:

Circumference=2πr

We have been given that the diameter of the cake is 8 inches So, the radius becomes 4 inches. We have to calculate the circumference of the cake. so the circumference becomes:

Circumference=2π(4)=8π

=8*22/7

=25.1

Then we have to divide it into 6 people so it will be 25.1/6=4.18 inches.

Hence the length of the arc will be 4.8 inches.

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The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of product A and y represent the number of product B, hence:

x ≤ 500 + 2y        (1)

Also:

35x + 50y > 22500²    (2)

The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²

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Answer:

Choose 1 ball from a bag with 1 red ball and 4 white balls. Record the color, replace the ball and repeat the experiment 20 times.

Step-by-step explanation:

Given

[tex]Cups = 5[/tex]

[tex]Ball=1[/tex]

[tex]Trials = 20[/tex]

See attachment

Required

Simulate the above experiment (fill in the gaps)

The probability of choosing a ball correctly in each trial are independent, and each probability is calculated as:

[tex]P(Correct) = \frac{Ball}{Cups}[/tex]

This gives:

[tex]P(Correct) = \frac{1}{5}[/tex]

The number of times (i.e. 6) he chose correctly is not a factor in his simulation

So, a correct simulation of the experiment is as follows:

Choose 1 ball from a bag with 1 red ball and 4 white balls. Record the color, replace the ball and repeat the experiment 20 times.

The selected ball represents the number of balls hidden (i.e. 1 ball).

The total number of balls (5 balls; i.e. 1 red and 4 white) represent the number of cups (5 cups)

The 20 times represent the number of times the experiment is repeated.

Answer:

f(x,y) = [tex]e^{xy}[/tex] is maximum at x = 2 and y = 2 and f(2,2) = [tex]e^{4}[/tex]

Step-by-step explanation:

Since f(x,y) = [tex]e^{xy}[/tex] and x³ + y³ = 16, Ф(x,y) = x³ + y³ - 16

df/dx = y[tex]e^{xy}[/tex], df/dy = x[tex]e^{xy}[/tex], dФ/dx = 3x² and dФ/dy = 3y²

From the method of Lagrange multipliers,

df/dx = λdΦ/dx and df/dy = λdΦ/dy

y[tex]e^{xy}[/tex] = 3λx² (1) and  x[tex]e^{xy}[/tex] = 3λy² (2)

multiplying (1) by x and (2) by y, we have

xy[tex]e^{xy}[/tex] = 3λx³ (4) and  xy[tex]e^{xy}[/tex] = 3λy³ (5)

So,  3λx³ = 3λy³

⇒ x = y

Substituting x = y into the constraint equation, we have

x³ + y³ = 16

x³ + x³ = 16

2x³ = 16

x³ = 16/2

x³ = 8

x = ∛8

x = 2 ⇒ y = 2, since x = y

So, f(x,y) = f(2,2) = [tex]e^{2 X2}[/tex] = [tex]e^{4}[/tex]

We need to determine if this is a maximum or minimum point by considering other points that fit into the constraint equation.

Since x³ + y³ = 16 when x = 0, y is maximum when y = 0, x = maximum

So, 0³ + y³ = 16

y³ = 16

y = ∛16

Also, when y = 0, x = maximum

So, x³ + 0³ = 16

x³ = 16

x = ∛16

and f(0,∛16) = [tex]e^{0X\sqrt[3]{16} } = e^{0} = 1[/tex].

Also, f(∛16, 0) = [tex]e^{\sqrt[3]{16}X0 } = e^{0} = 1[/tex].

Since f(0,∛16) = f(∛16, 0) = 1 < f(2,2) = [tex]e^{4}[/tex]

f(2,2) is a maximum point

Answer:

y

Step-by-step explanation:

In function notation, f(x) is another way of saying y. Then the correct option is A.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Tables, symbols, and graphs can all be used to represent functions. Every one of these interpretations has benefits. Tables provide the functional values of certain inputs in an explicit manner. How to compute direct proportionality is succinctly stated in symbolic representation.

The function is represented as,

y = f(x)

In function notation, f(x) is another way of saying y. Then the correct option is A.

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Answer:

The gain percent is 33.3 %

Step-by-step explanation:

Let the selling price of 1 m cloth is p.

Cost of 33 m = 33 p

gain = cost of 11 m = 11 p  

The gain percentage is given by

[tex]\frac{11 p}{33 p}\times 100\\\\= 33.3 %[/tex]

The gain percent is 33.3 %.

Answer: lil t j

Step-by-step explanation:

I’m not a goat but I fit the description we walk around with then bands in my pocket

Answer:

(h o k) (3) = 3

(k o h) (-4b) = -4b

Step-by-step explanation:

An inverse function is the opposite of a function. An easy way to find inverse functions is to treat the evaluator like another variable, then solve for the input variable in terms of the evaluator. One property of inverse functions is that when one finds the composition of inverse functions, the result is the input value, no matter the order in which one uses the functions in the combination. This is because all terms in a function and their inverse cancel each other and the result is the input. Thus, when one multiplies two functions that are inverse of each other, no matter the input, the output will always be the input value.

This holds true in this case, it is given that (h) and (k) are inverses. While one is not given the actual function, one knows that the composition of the functions (h) and (k) will result in the input variable. Therefore, even though different numbers are being evaluated in the composition, the output will always be the input.

Answer:

The solution to the inequality is [tex](-\infty, 0) \cup (3, \infty)[/tex]

Step-by-step explanation:

We have a product, which is positive if both terms is positive or if both is negative.

Both positive:

[tex]x > 0[/tex]

[tex]x - 3 > 0 \rightarrow x > 3[/tex]

Then the intersection of these two is: [tex]x > 3[/tex]

Both negative:

[tex]x < 0[/tex]

[tex]x - 3 < 0 \rightarrow x < 3[/tex]

Then the intersection of those two is: [tex]x < 0[/tex]

Then:

Union of two solutions:

[tex]x < 0[/tex] or [tex]x > 3[/tex]

Then

[tex](-\infty, 0) \cup (3, \infty)[/tex]

Answer:

x+3y =6

2x+8y=-12​

The solutions to your equations are:

x= 42 and y= -12

lets check this

42+-36 =6

84+-96=-12​

Hope This Helps!!!

Answer: hello the exercise is missing from your question below is the missing exercise for reference

answer:

0.1745

Step-by-step explanation:

Determine  P ( Y > 3 )

Given that y follows Poisson distribution with mean

P( Y = y ) = [tex]\frac{e^{-1} }{y!}[/tex]

assuming that yi represents number of autos that will enter the tunnel and

also let A represent Y > 3 at one of the ten two-minute interval

step 1 : hence finding  P(A )

= P(Y > 3 ) = 1 - P( Y≤ 3 )

= 1 - [ [tex][\frac{e^{-1} }{0!} +\frac{e^{-1} }{1!} +\frac{e^{-1} }{2!} +\frac{e^{-1} }{3!} ][/tex]

= 0.018988

since the ten observations are independent

P(X≥ 1 ) = 1 - P( X = 0 )

            = 1 -  [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right][/tex]  * (0.018988)^0 ( 1 - 0.018988)^10-0

            = 1 - 0.8255 = 0.1745

9514 1404 393

Answer:

Step-by-step explanation:

For a loan value of 1, the monthly payment on a 30 year loan at 7% is ...

  A = (0.07/12)/(1 -(1 +0.07/12)^(-12·30)) ≈ 0.00665302495

Then the amount repaid after 360 payments is ...

  360A = 2.39508898 . . . times the principal amount

__

a) For a monthly payment of $1050, the principal can be ...

  $1050/0.00665302495 ≈ $157,823

__

b) The amount repaid to the loan company is ...

  $157,823×2.39508898 ≈ $378,000

__

c) The amount that is interest is ...

  $378,000 -157,823 = $220,177

Answer:

let's use a sample set.

8+8, 8+4, 8+5, 8+6, 8+7

4+8, 4+4, 4+5, 4+6, 4+7

5+8, 5+4, 5+5, 5+6, 5+7

6+8, 6+4, 6+5, 6+6, 6+7

7+8, 7+4, 7+5, 7+6, 7+7

There is 25 sums.

Answer: 24 years

Step-by-step explanation:

Based on the information given, we've been given,

Principal = #250

Interest = #120

Interest rate = 2%

Time = Unknown

Interest = PRT/100

120 = (250 × 2 × Time)

Cross multiply

120 × 100 = (250 × 2 × T)

12000 = 500T

Time = 12000/500

Time = 24

It will take 24 years.