How many solution does 19x=5x have?

you. aren't. alone.......

You have the following information:

m∠FCD = x + 41

m∠BCF = x + 78

m∠BCD = 95°

In order to find the value of x, you consider that the sum of the measure of angles ∠FCD and ∠BCF is equal to the measure of angle ∠BCD.

Thus, you have:

m∠FCD + m∠BCF = m∠BCD you replace by the given expressions

(x + 41) + (x + 78) = 95 you eliminate parenthesis

x + 41 + x + 78 = 95 simplify similar terms

x + x + 41 + 78 = 95

2x + 119 = 95 subtract 119 both sides

2x = 95 - 119

2x = -24 divide by 2 both sides

x = -24/2

x = -12

Hence, the value of x is - 12

We are told that Dontax bought the stereo on a sale of 20% off, meaning he will only have to pay 100% -20% = 80% of the price.

Now, 80% of $199 is

Hence the amount of money Dontay saved is

Which is our answer!

The mode of a data set is the number that repeats the most.

In this case, we can see that teh value $14,950 is twice.

Then the correct answer is option A. The mode is $14,950

F = cost of the songs.

C = number of songs

F ∝ C

F = KC

K = constant of proportionality.

The constant of proportionality is 0.0048.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x = 6 is an equation.

We have,

Number of songs      Total cost

1515                              $7.20

1717                               $8.16

2020                            $9.60

Let F = cost of the songs.

C = number of songs

F ∝ C

F = KC

K = constant of proportionality.

We see that,

The total cost of the songs = 0.0048 x the Number of songs.

7.20 = 0.0048 x 1515

8.16 = 0.0048 x 1717

9.60 = 0.0048 x 2020

Thus,

F ∝ C

F = KC

F = cost of the songs.

C = number of songs

K = constant of proportionality.

The constant of proportionality is 0.0048.

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40% of $280

40/100 x280

= 112

The discounted price = 280 -112

= $168

The probabilities for this problem are given as follows:

a) Dolphin partaking in social activities: 0.328 = 32.8%.

b) Dolphin group is around in the afternoon: 0.122 = 12.2%.

c) Dolphin partaking in social activities given that that is around in the afternoon: 0.391 = 39.1%.

d) Dolphin group is around in the afternoon given that it is partaking in social activities: 0.145 = 14.5%.

e) Dolphin group is around in the morning given that it is partaking in social activities: 0.613 = 61.3%.

f) Dolphin group is around in the morning and is partaking in social activities: 0.201 = 20.1%.

g) Dolphin group is around in the morning or is partaking in social activities: 0.508 = 50.8%.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

Hence, for each item in the problem, we have to identify the number of desired outcomes and the number of total outcomes to find the probability.

The outcomes are as follows:

Hence the probability is:

p = 62/189 = 0.328 = 32.8%.

The outcomes are as follows:

Hence the probability is:

p = 23/189 = 0.122 = 12.2%.

The outcomes are as follows:

Hence the probability is:

p = 9/23 = 0.391 = 39.1%.

The outcomes are as follows:

Hence the probability is:

p = 9/62 = 0.145 = 14.5%.

The outcomes are as follows:

Hence the probability is:

p = 38/62 = 0.613 = 61.3%.

The outcomes are as follows:

Hence the probability is:

p = 38/189 = 0.201 = 20.1%.

The outcomes are as follows:

Hence the probability is:

p = 96/189 = 0.508 = 50.8%.

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The inequality that corresponds to the following expression, "A is less than 9" is:

Step 1

Draw the triangle DEF

Step 2

State the formula for the distance between two points

Step 3

Find the length of DE

Step 3

Find the length of EF

Step 4

Find the length of DF

Step 5

Find out what type of triangle it is.

An isosceles triangle is a triangle that has two sides of equal length.

Since triangle DEF has lines DF and DE to be equal in length, we can conclude that triangle DEF is an Isosceles triangle

A sheet of 10 tickets at the carnival costs $8. If you want to buy 35 tickets, how much would that cost?

a) Write a proportion to represent the situation.

b) Solve the proportion.

Using a proportion

10/8=35/x

solve for x

Multiply in cross

10*x=8*35

x=(8*35)/10

x=$28

therefore

the answer is

Jake

There is no flat fee = $0

To buy a movie = 50 cents = $0.50

Joshua

Flat fee = $5

To buy a movie = 50 cents = $0.50

Jonathan

Flat fee = $8

To buy a movie = 20 cents = $0.20

Then, we have the following expressions:

Next, to pay the same amount of money from each website. This is:

Let y = number of movies

So, solve the system:

when we rotate a point 180°, we have to change the sign in every coordinate. Therefore we get that the new point is (3,5)

Answer:

√39

Step-by-step explanation:

x/13 = 3/x

x^2 = 39

x = √39

The equation that is false based on the solution set is D. −32 = 2(3p − 6)

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

6 = 2y − 4

This will be:

2y - 4

2(5) - 4

10 - 4 = 6

4(b + 5) = 40

4(5 + 5)

4(10) = 40

one fifth times x plus 16 equals 17

1/5x + 16

1/5(5) + 16

1 + 16 = 17

Therefore, the last option doesn't fit in.

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Answer:D. −32 = 2(3p − 6)

Step-by-step explanation:

If we plot the values of x representing the given interval on the number line, the least value would be - 12. It would be on the left and also non inclusive. The greatest value of x would be 8 on the right and inclusive. By writing it in set builder notation, it is expressed as shown in the attached photo

The value fo the expression - [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 as a mixed number is 4 1/6.

Consider the expression,

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6

By using the BODMAS rule, we will first solve the inner parenthesis.

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = - [ - 9/5 ÷ 0.36 ] - 5/6

Now dividing the terms in the inner parenthesis {}.

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = - [ - 1.8  ÷ 0.36 ] - 5/6

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = - [ - 5 ] - 5/6

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 5 - 5/6

By the BODMAS rule subtracting the remaining terms.

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 5/1 - 5/6

The LCM of 1 and 6 is 6.

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = ( 30 - 5 )/6

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 25/6

- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 4 1/6

The value of the expression - [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 is 4 1/6.

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Explanation:

To determine the numbers, we need to find factors of -50:

We only have one of the numbers with negative because we are finding factor of a negative number.

Multiplication of opposite signs give negative number.

From the factors listed above, we find the two numbers sum up to give -50:

(A) The equation 6x + 2y = - 12 in slope intercept form is y = - 3x - 6

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.

Consider the equation,

6x + 2y = - 12

The equation of a line in slope intercept form is given as:

y = mx + b where m is the slope and b is the y-intercept.

Now,

6x + 2y = - 12

Subtracting 6x from each side of the equation,

6x + 2y - 6x = - 12 - 6x

2y = - 12 - 6x

Dividing each side of the equation by 2,

y = - 3x - 6

Comparing the equation with y = mx + b.

m = - 3 and b = - 6

Therefore, the equation in slope intercept form is y = - 3x - 6.

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Given the dataset 136, 141, 146, 149, 153

The mean is the total number of datasets divided by the sum of the datasets.

The average of a set of values is referred to as the mean. The simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean are all methods for calculating the mean.

The mean of a dataset (also known as the arithmetic mean, as opposed to the geometric mean) is the total number of values divided by the sum of all values. It is the most commonly used measure of central tendency and is also known as the "average."

Therefore,

a)  [tex]$&\text { Mean }=\sum X i / N \\[/tex]

[tex]$&\bar{x}=\frac{136+ 141+146+ 149+ 153}{5} \\[/tex]

[tex]$&\bar{x}=\frac{725}{5} \\[/tex]

[tex]$&\bar{x}=145[/tex]

b) The formula for calculating the deviation from the mean for each value is expressed as  [tex]$X i-\bar{X}[/tex] where;

Xi is value of each item

x bar is the mean = 145

Mean deviation of 136 = 136-145 = -9

Mean deviation of 141= 141-145 = -4

Mean deviation of 146= 146-145 = 1

Mean deviation of 149= 149-145 = 4

Mean deviation of 153= 153-145 = 8

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The formula for the variance of the binomial distribution is o = √npq

Equating the value is the equation

o = √npq,

[tex]o = \sqrt{80\times1\times\0.4}[/tex]

o = 5.6568

The binomial distribution is defined as the number of trials or observations when each trial has the same probability of reaching a certain value. The binomial distribution determines the probability of observing a certain number of successful outcomes for a given number of trials.

The binomial distribution model allows us  to calculate the probability of observing a certain number of "successes" if a process is repeated a certain number of times (eg, in a patient population) and the result for a given patient is either successful. or failure.

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The time required to the nearest day to make the deposit of $1000 to grow to $1 million at 3% compounded continuously is 84044 days.

In the question ,

it is given that

the deposit ( principle amount P) = $1000

the final amount (A) = 1 million = $1000000

the rate of interest (r) = 3% = 0.03

let the time taken to make $1000 to 1 million be " t ".

The continuous compounding interest is given by  the formula

[tex]A = P\times e^{r t}[/tex]

where A is the final amount

P is the principle amount

r is the rate of interest

t is the time taken

Substituting the values of A , P , r and t from above , we get

1000000 = 1000×[tex]e^{0.03*t}[/tex]

10000000/1000 = [tex]e^{0.03t}[/tex]

1000 = [tex]e^{0.03t}[/tex]

taking ln on both the sides

㏑(1000) = ㏑([tex]e^{0.03t}[/tex])

㏑(1000) = (0.03t)*㏑(e)

6.9077 = (0.03t)*1           .... as ln(e) = 1 and ln(1000)=6.9077

6.9077 = 0.03*t

t = 6.907755/0.03

t = 230.2585

So , time required is 230.2585 years .

to convert into days , we multiply by 365.

time ( in days) = 230.2585×365

= 84044.3525

≈ 84044 days

Therefore , the time required to make the deposit of $1000 to grow to $1 million at 3% compounded continuously is 84044 days .

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The domain of the relation is [1,6]. The domain can be written in the roster form method like {x I x ∈ {1,....,6}} The range of the function is  [1,2].

As we can see that the range of values in x-axis is from  [1,6]. Hence, it is the domain of the relation.

Also, he range of values in y-axis is from  [1,2]. Hence, it is the range of the relation.

Domain of a relation

The domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.

Range of a relation

The set of the second elements of all the ordered pairs of a relation is the range of a relation.

Set roster form

The elements (or members) of a set are listed in a row inside the curly brackets.

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Graph A shows  a function and its inverse A. B. C. D.

An output is produced by a function after it accepts inputs, applies specific operations to the values, and produces an output. The inverse function works, agrees with the resultant, and returns to the original function An inverse relationship is created when an independent variable is switched out for a variable that depends on a given equation; an inverse relationship may or may not be a function.

Inverse functions, indicated by f-1(x).on, are those in which the inverse of a function is that function itself.

It is common practice to swap the coordinates x and y when calculating an inverse. This new inverse is not necessarily a function, but it is a relation.

To guarantee that the inverse function is also a function, the initial function must be a one-to-one function.

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Answer:

Step-by-step explanation:

P=Po(1+(r/n)^nt,

t=time in years

r=rate

n=number of compoundings per year

=17000(1+.046)^12, round at the end = $29162.79

Annually = 15000 (1+(.046/12))^144 = $29493.15

Monthly = 15000 (1+.046/365))^(365*12) = $29523.26

Daily = Poe^(rt)=Poe^(.552) = $29524.29

interest earned is each of the above minus $15000 that was the principal.

Solution:

Given the functions:

The graph of f(x) is as shown below:

The graph of g(x) is as shown below:

Description:

In the above graph, we observe that in the transformation, the f(x) plot is reflected across the x-axis and shifted downwards by 2 units to obtain the g(x) plot.

The (-3,0) is on x- axis, (-2,-3) is on third quadrant, (0,4) is on y- axis, (-1,2) is on second quadrant, (6,-2) is  on fourth quadrant, (-5,-6) on third quadrant.

What is quadrant?

The quadrants on a graph are the four parts of a 2D Cartesian plane. Each quadrant is an infinite region, and adjacent quadrants meet on half of an axis (the positive or negative half of the x or y axis).

In first quadrant all the values are positive, in second quadrant x co-ordinate is negative and y is positive, on third quadrant both values are negative, and in fourth quadrant, y co-ordinate is negative and y is positive,

when the value of x co-ordinate is zero then value lies on y-axis

when the value of y co-ordinate is zero, the point lies on x -axis.
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Given: A and B are independent events with P(A) = 0.05 and P(B) =0 .65.

Required: To find P(A | B).

Explanation: For independent events A and B we have

Hence,

which gives,

Final Answer: Option D is correct.

The statement about the sequence that is true is that it is an arithmetic sequence

The sequence is given as

-9,21,51,81

Test for arithmetic sequence:

An arithmetic sequence is any seqeunce that has a common difference

So, we start by checking if the sequence has a common difference

This is represented as

d = 21 - (-9) = 30

d = 51 - 21 = 30

d = 81 - 51 = 30

The sequence -10, -3, -10, -3, -10, ... has a common difference

This is so because the difference between consecutive terms of the sequence is the same i.e. 30

Hence, the sequence is an arithmetic sequence

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Answer:

1.no, because 840 divide by 70 equals 12 and 12 does not equal 14

2.yes, because 480 divided by 30 does equal 16 and 16=16

3.yes, because 640 divided by 40 does equal 16 and 16=16

4.no, because 910 divide by 30 equals 30.333 and 30.333 does not equal 31

Step-by-step explanation: Hope this helps

Answer:yes no yes no

Step-by-step explanation:

im to lazy to add step my step but i 100% correct