What the meaning of statement this?

Answers

Answer 1

{x: f(x) ∈ X} denotes a set of values of x for which f(x) belongs to the set X and this specifies that the inverse function $f^(^-^1)$(x) maps values of x to the set of values for which f(x) belongs to the set X.

How do we calculate?

The statement you provided is an expression involving the notation for the inverse function.

The inverse function of a function, represented as f(-1)(x) for a function f(x), is a new function that "reverses" the operation of the original function, meaning that if you input the output of the original function into its inverse function, you will get back the original input.

The expression in this scenario specifies that the inverse function$f^(^-^1^)$(x) maps values of x to the set of values for which f(x) belongs to the set X.

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Answer 2

The statement you provided is an expression involving the notation for the inverse function.

How do we explain?

The statement you provided is an expression involving the notation for the inverse function. x: f(x) ∈ X} denotes a set of values of x for which f(x) belongs to the set X and this specifies that the inverse function (x) maps values of x to the set of values for which f(x) belongs to the set X.

The inverse function of a function, represented as f(-1)(x) for a function f(x), is a new function that "reverses" the operation of the original function, meaning that if you input the output of the original function into its inverse function, you will get back the original input.

The expression in this scenario specifies that the inverse function(x) maps values of x to the set of values for which f(x) belongs to the set X.

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Related Questions

Write an equation of the line passing through
(-1.5) and (3,5). Give the answer in standard
form Ax+By=C

Answers

9514 1404 393

Answer:

y = 5

Step-by-step explanation:

The given points lie on the horizontal line ...

y = 5

You could write this as 0x+1y=5, but the conventions regarding coefficients of 0 and 1 would have this simplified to y=5.

A bakery sold a total of 120 cupcakes in a day, and 66 of them were mocha flavored.
What percentage of cupcakes sold that day were mocha flavored?

Answers

Answer:

55%

Step-by-step explanation:

55% of the cupcakes were mocha flavored.

55% of the cupcakes where mocha flavored hope this helps u

Magic Realm, Inc., has developed a new fantasy board game. The company sold 15,000 games last year at a selling price of $20 per game. Fixed costs associated with the game total $182,000 per year, and variable costs are $6 per game. Production of the game is entrusted to a printing contractor. Variable costs consist mostly of payments to this contractor.

Required:

1) Prepare a contribution format income statement for the game last year and compute the degree of operating leverage.

2) Management is confident that the company can sell 18,000 games next year (an increase of 3,000 games, or 20%, over last year).

Compute:

a) The expected percentage increase in net operating income for next year.

b) The expected total dollar net operating income for next year.

Answers

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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prove why 2,5,8,11 and 14 are not perfect squares?

Answers

Answer:

because there is an exact square number such as:4,9

Answer:

✓2=1.41421

✓5=2.23607

✓8=2.82842

✓11=3.31662

✓14=3.74166

Step-by-step explanation:

Therefore the numbers are increasing by three so they cant be perfect square

Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.
a) an=6an-1, a0=2
b) an=a2n-1, a1=2
c) an=an-1+3an-2, a0=1 , a1=2
d) an=nan-1+n2 an-2 a0=1 ,a1=1
e) an= an-1+an-3 , a0=1, a1=2 , a2=0

Answers

Answer:

See explanation

Step-by-step explanation:

Solving (a):

$a_n = 6a_{n-1}$ where $a_0 = 2$

n = 1

$a_n = 6a_{n-1}$

$a_1 = 6a_{1-1}$

$a_1 = 6a_{0}$

Substitute 2 for $a_0$

$a_1= 6 * 2$

$a_1= 12$

n = 2

$a_n = 6a_{n-1}$

$a_2 = 6a_{2-1}$

$a_2 = 6a_{1}$

Substitute 12 for $a_1$

$a_2= 6 * 12$

$a_2= 72$

n = 3

$a_n = 6a_{n-1}$

$a_3 = 6a_{3-1}$

$a_3 = 6a_2$

Substitute 72 for $a_2$

$a_3= 6 * 72$

$a_3= 432$

n = 4

$a_n = 6a_{n-1}$

$a_4 = 6a_{4-1}$

$a_4 = 6a_{3}$

Substitute 432 for $a_3$

$a_4 = 6 * 432$

$a_4 = 2592$

n = 5

$a_n = 6a_{n-1}$

$a_5 = 6a_{5-1}$

$a_5 = 6a_4$

Substitute 2592 for $a_4$

$a_5 = 6 * 2592$

$a_5 = 15552$

n = 6

$a_n = 6a_{n-1}$

$a_6 = 6a_{6-1}$

$a_6 = 6a_{5}$

Substitute 15552 for $a_5$

$a_6 = 6 * 15552$

$a_6 = 93312$

$a_1= 12$ $a_2= 72$ $a_3= 432$ $a_4 = 2592$ $a_5 = 15552$ $a_6 = 93312$

Solving (b):

$a_n = a^2_{n - 1$ where $a_1 = 2$

We have

$a_1 = 2$ which serves as the first term

n =2

$a_n = a^2_{n - 1$

$a_2 = a^2_{2-1}$

$a_2 = a^2_{1}$

Substitute 2 for $a_1$

$a_2 = 2^2$

$a_2 = 4$

n = 3

$a_3 = a^2_{3-1}$

$a_3 = a^2_{2}$

$a_3 = 4^2$

$a_3 = 16$

n = 4

$a_4 = a^2_{4-1}$

$a_4 = a^2_3$

$a_4 = 16^2$

$a_4 = 256$

n =5

$a_5 = a^2_{5-1$

$a_5 = a^2_4$

$a_5 = 256^2$

$a_5 = 65536$

n = 6

$a_6 = a^2_{6-1$

$a_6 = a^2_{5$

$a_6 = 65536^2$

$a_6 = 4294967296$

$a_1 = 2$ $a_2 = 4$ $a_3 = 16$ $a_4 = 256$ $a_5 = 65536$ $a_6 = 4294967296$

Solving (c):

$a_n=a_{n-1}+3a_{n-2};$ $a_0=1$ ; ; $a_1=2$

$a_1=2$ ---- First term

n = 2

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_2=a_{2-1}+3a_{2-2}$

$a_2=a_1+3a_0$

Substitute values for a1 and a0

$a_2=2+3 * 1$

$a_2=2+3$

$a_2=5$

n = 3

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_3=a_{3-1}+3a_{3-2}$

$a_3=a_{2}+3a_{1}$

$a_3=5+3 * 2$

$a_3=5+6$

$a_3=11$

n = 4

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_4=a_{4-1}+3a_{4-2}$

$a_4=a_{3}+3a_{2}$

$a_4=11+3 * 5$

$a_4=11+15$

$a_4=26$

n = 5

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_5=a_{5-1}+3a_{5-2};$

$a_5=a_{4}+3a_3$

$a_5=26+3 * 11$

$a_5=26+33$

$a_5=59$

n = 6

$a_n=a_{n-1}+3a_{n-2};$ becomes

$a_6=a_{6-1}+3a_{6-2}$

$a_6=a_{5}+3a_4$

$a_6=59+3*26$

$a_6=59+78$

$a_6=137$

$a_1=2$ $a_2=5$ $a_3=11$ $a_4=26$ $a_5=59$ $a_6=137$

Solving (d):

$a_n=na_{n-1}+n^2a_{n-2}$; $a_0=1$; $a_1=1$

$a_1=1$ --- First term

n = 2

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_2=2 * a_{2-1}+2^2a_{2-2}$

$a_2=2 * a_1+4*a_0$

$a_2=2 * 1+4*1$

$a_2=2 +4$

$a_2=6$

n = 3

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_3=3 * a_{3-1}+3^2 * a_{3-2}$

$a_3=3 * a_{2}+9 * a_{1}$

$a_3=3 * 6+9 * 1$

$a_3=18+9$

$a_3=27$

n = 4

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_4=4*a_{4-1}+4^2*a_{4-2}$

$a_4=4*a_{3}+16*a_{2}$

$a_4=4*27+16*6$

$a_4=204$

n = 5

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_5=5 * a_{5-1}+5^2 * a_{5-2}$

$a_5=5 * a_{4}+25 * a_{3}$

$a_5=5 * 204+25 *27$

$a_5=1695$

n = 6

$a_n=na_{n-1}+n^2a_{n-2}$ becomes

$a_6=6 * a_{6-1}+6^2*a_{6-2}$

$a_6=6 * a_{5}+36*a_{4}$

$a_6=6 * 1695+36*204$

$a_6=17514$

$a_1=1$ $a_2=6$ $a_3=27$ $a_4=204$ $a_5=1695$ $a_6=17514$

Solving (e):

$a_n= a_{n-1}+a_{n-3};\ a_0=1; a_1=2; a_2=0$

First term: $a_1=2$

Second Term: $a_2=0$

n = 3

$a_n= a_{n-1}+a_{n-3}$ becomes

$a_3= a_{3-1}+a_{3-3}$

$a_3= a_{2}+a_0$

$a_3= 0+1$

$a_3= 1$

n = 4

$a_n= a_{n-1}+a_{n-3}$ becomes

$a_4= a_{4-1}+a_{4-3}$

$a_4= a_{3}+a_{1}$

$a_4= 1+2$

$a_4=3$

n = 5

$a_n= a_{n-1}+a_{n-3}$ becomes

$a_5= a_{5-1}+a_{5-3}$

$a_5= a_{4}+a_{2}$

$a_5= 3 + 0$

$a_5= 3$

n = 6

$a_n= a_{n-1}+a_{n-3}$ becomes

$a_6= a_{6-1}+a_{6-3}$

$a_6= a_{5}+a_{3}$

$a_6= 3 + 1$

$a_6= 4$

$a_1=2$ $a_2=0$ $a_3= 1$ $a_4=3$ $a_5= 3$ $a_6= 4$

What are the exact values of a and b

Answers

Answer:

d) a = 5 ; b = 5√3

Step-by-step explanation:

Hi there !

30°-60°-90° Theorem

side opposite the 30° angle = a side opposite the 60° angle => b = a√3 side opposite the 90° angle = 2a

side opposite the 90° angle = 2a

10 = 2a => a = 10/2 => a = 5

side opposite the 60° angle => b = 5√3

Good luck !

PLS HELPPPPP Find the perimeter of AXYZ. *
1 point
M, N, and O are the midpoints of the sides of XYZ.

Answers

Answer:

XY=2 ON mid point theorem

so XY=8

yz=2 OM

so yz= 6

since o is the mid point

xz=2 OZ

so xz=10

perimeter =8+6+10

=24 cm is the answer

hope it helps..

Yo estoy en el hospital en el trabajo que me voy al baño a las tres para ir al baño a la casa y me hhhhhb. Yo estoy en la oficina y me voy al baño y

Please answer correctly

Answers

The transformation g(x) = 1/2 (4)ˣ +2 he appropriate terms to describe the transformation are

C Vertical Shrink (Compression)E Shifts up

What is vertical shrink?

In mathematics, a transformation refers to a change in the position, size, shape, or orientation of a geometric figure or mathematical function.

A vertical shrink is a type of transformation that changes the size or height of a graph or function. A vertical shrink is a type of vertical stretch, which means that it compresses or reduces the height of a graph or function by a certain factor

The vertical shrink is as a result of the factor 1/2 while the shift up is as a result of + 2, this means translation up 2 units

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1) Convert 2-7i to trigonometric form

2) Use the n-th roots theorem to find the requested roots of the given complex number.
Find the cube roots of 125

Answers

Answer:

1) $\sqrt{53}(\cos286^\circ+i\sin286^\circ)$

2) $\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i$

Step-by-step explanation:

Problem 1

$z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)$

Problem 2

$\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i$

$\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i$

$\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5$

Note that $\text{cis}\,\theta=\cos\theta+i\sin\theta$ and $125=125(\cos0^\circ+i\sin0^\circ)$

If the relationship is proportional, what is the missing value from the table? x y –3 9 –5 ? –7 21 –18 –15 15 18If the relationship is proportional, what is the missing value from the table? x y –3 9 –5 ? –7 21 –18 –15 15 18

Answers

If two variables are directly proportional, this means that the ratio of the two variables is constant. In other words, if x and y are directly proportional, then there exists some constant k such that:

y = kx

To find the missing value in the table, we can first calculate the value of k using any set of corresponding values for x and y. For example, we can use the first row of the table:

y = kx 9 = k(-3) k = -3

Now that we know k, we can use it to find the missing value for the second row:

y = kx y = (-3)(-5) y = 15

Therefore, the missing value in the table is 15.

simplify (2x-3)^3-(x-4)^3
please help urgently

Answers

Answer:

7x^3 -24x^2 +6x +37

Step-by-step explanation:

Step 1:

Expand (2x-3)^3

(2x)^3 - 3(2x)^2 * 3+3 * 2x * 3^2 -3

(8x^3 -36x^2 +54x -27)

Step 2:

Expand (x-4)^3

x^3 -3x^2 *4 +3x *4^2 -4^3

(x^3 -12x^2 +48x -64)

Step 3: Subtract and add like terms

(8x^3 -36x^2 +54x -27) - (x^3 -12x^2 +48x -64)

7x^3 -24x^2 +6x +37

Ans: 7x^3 -24x^2 +6x +37

4. In the diagram, line l bisects QR at M. Set up an equation, solve for x, and find QR.

Answers

Answer: x = 5 QR = 32

Step-by-step explanation:

QM = 2x + 6, MR = 5x - 9 Given

M is midpoint of QR Given

QM = MR Definition of Midpoint

2x + 6 = 5x - 9 Substitution

6 = 3x - 9 Subtraction

15 = 3x Addition

5 = x Division

QM = 2(5) + 6 Substitution

= 10 + 6 Simplify

= 16 Simplify

MR = QM =16

QM + MR = QR Segment Addition Postulate

16 + 16 = QR Substitution

32 = QR Simplify

please help! no work needs to be shown:)

Answers

Angle 4 :)

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

What is 7-4/6 ?

What is 234-303+93847?

Answers

Answer:

7-4/6 = 6.33333333333

234-303+93847 = 93778

Step-by-step explanation:

8r+6=9r-7 solve for r

Answers

I think its r=13 hope this helps :)

Optimal-Eats blender has a mean time before failure of 40 months with a standard deviation of 6 months, and the failure times are normally distributed. What should be the warranty period, in months, so that the manufacturer will not have more than 10% of the blenders returned

Answers

Answer:

The warranty period should be of 32 months.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$, the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean time before failure of 40 months with a standard deviation of 6 months.

This means that $\mu = 40, \sigma = 6$

What should be the warranty period, in months, so that the manufacturer will not have more than 10% of the blenders returned?

The warranty period should be the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.

$Z = \frac{X - \mu}{\sigma}$

$-1.28 = \frac{X - 40}{6}$

$X - 40 = -1.28*6$

$X = 32$

The warranty period should be of 32 months.

determine the base funciton f(x)=2(4)^x+5 NEED ASAP

Answers

The base of the function given 2(4)ˣ+5 is 4ˣ

What is the base of a function?

The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.

Given is a function, 2(4)ˣ+5, we need to find the base of the function,

With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).

This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.

Hence, the base of the function given 2(4)ˣ+5 is 4ˣ

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The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.

Answers

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

A party store recorded recent balloon sales. green 20 blue 17 pink 12 purple 19 orange 7 What is the experimental probability that the next balloon sold will be green? Write your answer as a fraction or whole number.

Answers

The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

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Answer:

4/15

Step-by-step explanation:

What is the value of the expression 10z - 3

Answers

Step-by-step explanation:

Maybe you forgot to put a picture, because 10z-3 is the most simple form. You can't simplify.

Please help and hurry

Answers

The equation of the parabola with vertex at point (2, -11) and passes through the point (0, 5) is y = 4(x - 2)² - 11.

What is linear and quadratic equation?

A straight line can be used to symbolise a function that is linear, meaning that for each unit change in the input, the output (y) changes by a fixed amount (x). While a parabola can be used to depict a function, a quadratic function has an output (y) that changes by a non-constant amount for each unit change in the input (x). In other words, a quadratic function curves because of the squared term in its equation.

Given, the parabola has vertex at point (2, -11) and passes through the point (0, 5).

Thus, the equation of parabola in vertex form is:

y = a(x - 2)² - 11

Now, the parabola passes through the point (0, 5) we have:

5 = a(0 - 2)² - 11

5 = 4a - 11

16 = 4a

a = 4

Hence, the equation of the parabola with vertex at point (2, -11) and passes through the point (0, 5) is y = 4(x - 2)² - 11.

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Help Quickly! Which of these questions is a fair question?

A. Do you prefer inspiring jazz music or harsh rock?

B. Do you prefer slow-paced baseball or exciting, fast basketball?

C. What type of snack do you prefer?

D. Will you vote for the young, inexperienced candidate, Mr. Soong, or the experienced candidate, Ms. Lopez?

Answers

C, it uses no negative or positive connotations

The maximum resistance for a new spark plug wire is 840 ohms per inch. A 25-in. wire had a resistance of 20,250 ohms. Does this fall within the acceptable limit?

Answers

Answer:

Yes

Step-by-step explanation:

Let's calculate the resistance of one inch for our wire and compare it with the maximum:

20250 / 25 = 810 Ohm

810 < 840 ? Yes!

Yes, this is within the acceptable limit. Wire can be used.

PLZZZ HELP!!! ASAP
Will mark brainiest :)))

Answers

Answer:

Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em

this is only the explanation how to do it with you want the answer ask in the comment section

Step-by-step explanation:

Answer:

4. 1230

Step-by-step explanation:

A rectangle has parallel sides, so we know two sides are 30. 30+30=60. We subtract 142-60=82. Then we divide by two: 82/2=41. Then you know that both sides are 41 and 30. Multiply, and you get 1230.

Pls help me it's urgent!

Answers

The formula that defines the sequence is f(n) = f(n-1) + 4

Recursive function

The recursive function rule is expressed as;

f(n) = f(n-1) + d

where

d is the common difference

Given the following sequence

2, 6, 10, 14, 18..

Determine the common difference

d = 6-2 = 10-6

d = 4

Substitute to have

f(n) = f(n-1) + d

f(n) = f(n-1) + 4

Hence the formula that defines the sequence is f(n) = f(n-1) + 4

Learn more on recursive formula here: https://brainly.com/question/1275192

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Solve 5x +30
10x. Identify the solution and an extraneous solution.

Answers

Answer:

X=6

Step-by-step explanation:

Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i

Answers

Answer:

-235+84i

Step-by-step explanation:

I hope this is what you were looking for.

what is the measure of <T?
A. 60°
B. 100°
C. 110°
D. 125°

Answers

Answer:

The sum of angles in a quadrilateral is 360°.

  75° +125° +∠T +60° = 360°

  ∠T = 360° -260° = 100°

Step-by-step explanation:

C = 360 - 260 = 100 The answer is definitely 100 for T as well since the figures are similar. Answer 100 = T <<<<<<<

jcherry99 avatar

R = 75 and A therefore is 75. Now you have 3 angles whose value you know: D, A, and B. These three are 60 75 and 125. (125 is the second best answer). D + A + B = 60 + 75 + 125 = 260

jcherry99 avatar

If the figures are similar, then D = 60 and U = 60

jcherry99 avatar

D is on your left and U is on your left.

Jasmine has a circular swimming pool with a radius of 4.2 meters. What is the circumference of the pool? Use 3.14 for π
. Round to the nearest hundredth if necessary.
__ m

Answers

If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

Learn more about Circumference here

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Deniz is playing a game of rock-paper-scissors with Phil. The loser of the game will pay the winner $ 100 $100dollar sign, 100. In the game of rock-paper-scissors, each player chooses either rock, paper, or scissors simultaneously. A winner is decided by the following rules: rock beats scissors, scissors beats paper, and paper beats rock. If both players make the same choice, then the game is a tie. Deniz is trying to decide whether to play rock or paper. Based on previous games, she knows that Phil will make his choice according to the probabilities in the table below. What are Deniz's expected winnings if she chooses rock? Round your answer to the nearest dollar. $ $dollar sign What are Deniz's expected winnings if she chooses paper? Round your answer to the nearest dollar. $ $dollar sign If Deniz wants the best payoff in the long run, she should choose . Phil’s choice Probability Rock 50 % 50%50, percent Paper 20 % 20%20, percent Scissors 30 % 30%30, percent

Answers

Answer:

Deniz's expected winnings if she chooses rock are $30. If she chooses paper, her expected winnings are $20. If Deniz wants the best payoff in the long run, she should choose paper.

Expected winnings for rock:

Deniz wins against scissors with probability of 30%, and loses against paper with probability of 20%, so her expected winnings are (0.3100) - (0.2100) = 30

Expected winnings for paper:

Deniz wins against rock with probability of 50%, and loses against scissors with probability of 30%, so her expected winnings are (0.5100) - (0.3100) = 20

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