What is the solution for x in the equation, 3/x + 7 = -5?
A. x = -4
B. x = -1/4
C. x = 3/2
D. x = 12

Based on the information provided, we know that m<5 has a measure of 64 degrees and m<6 can be represented as 3x-25.

In order to find the value of x, we need to solve for x in the equation 3x-25=m<6. Since we know that m<6 is equal to (3x-25), we can substitute this expression in the equation to get 3x-25=(3x-25).

By simplifying this equation, we get 3x=3x, which means that x can be any value since the equation is true for all x values. Therefore, we cannot determine the specific value of x based on the given information.

It's important to remember that when solving for unknown angles or variables, we need to use the equations and information given to us and make sure to simplify the equations as much as possible to get a clearer understanding of the problem.

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The probability that a woman is having one child of each sex is 0.2548.

The probability of having two children of the same gender (either both girls or both boys) can be calculated by multiplying the probability of having a girl or a boy is (which is 1/2 or 0.5) by itself twice, as each child is independent of the other:

0.5 × 0.5 = 0.25 (probability of having either two girls or two boys)

Since the total probability of having two girls or two boys is 0.5048 as given in the question, the probability of having one child of each sex is: 0.5048 - 0.25 = 0.2548.

Therefore, the probability that a woman with two children has one child of each sex is 0.2548

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Answer: the answer is -2n + 4

Step-by-step explanation:

in an arithmetic sequence any new term is created by adding a defined constant to the previous term.

a1 = 2

the defined constant to be added = common difference = a2 - a1 = 11

so,

a2 = 2 + 11 = 13

a3 = a2 + 11 = a1 + 2×11 = 2 + 22 = 24

a4 = a3 + 11 = a1 + 3×11 = 2 + 33 = 35

Answer: x=-1

Step-by-step explanation:

This answer is only correct is you are looking for x

Answer:

isosceles triangles.

Step-by-step explanation:

a) If the spring stretch's from 42cm and 46 cm is 2.78J

b) 3.64cm length far beyond will stretch from 30cm.

Natural Length:

The natural length of a spring is the length with no mass attached. Assume that the spring obeys Hooke's law. When the spring length changes from its natural length by ΔL, the spring exerts a force of Fs=kΔL. where k is a positive number, denoted as the spring constant.

Natural length is 36 and stretches to 45. 5 J of work is needed

⇒ 5 = 1/2k(0.45-0.36)²

⇒ 5 = 1/2k(0.09)²

⇒ 5 = 0.0081k/2

⇒ 10 = 0.0081k

⇒ K = 1234.568

Now,

X1 = 0.38-0.36 = 0.02

X2 = 0.43-0.36 = 0.07

Work done

W = 1/2k(x2²-x1²)

W = 1/2(1234.568)(0.007²-0.02²)

W = 1234.568(0.0049-0.0004)/2

W = 2.78j

F = 45N

F = kx

X = f/k

  = 45/1234.568

  = 0.0364

  = 3.64cm

The answer to A is 2.78j

The answer to b is 3.64cm

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Answer:90

Step-by-step explanation:

a) To solve the recurrence relation an = an-1 + 3(n-1), a0 = 1, we can expand the recurrence relation iteratively.

a1 = a0 + 3(1-1) = 1 + 0 = 1

a2 = a1 + 3(2-1) = 1 + 3 = 4

a3 = a2 + 3(3-1) = 4 + 6 = 10

a4 = a3 + 3(4-1) = 10 + 9 = 19

...

We can observe a pattern from the values:

a0 = 1

a1 = 1

a2 = 4

a3 = 10

a4 = 19

We can notice that an = \(n^2 + 1.\) We can prove this by induction, but in this case, we can also recognize that the given recurrence relation generates the triangular numbers (1, 3, 6, 10, 15, ...), which are defined by the formula Tn = n(n+1)/2.

Thus, the solution to the recurrence relation is an = \(n^2 + 1.\)

b) For the recurrence relation an = an-1 + n(n-1), a0 = 3, we can again expand it iteratively:

a1 = a0 + 1(1-1) = 3 + 0 = 3

a2 = a1 + 2(2-1) = 3 + 2 = 5

a3 = a2 + 3(3-1) = 5 + 6 = 11

a4 = a3 + 4(4-1) = 11 + 12 = 23

...

Observing the values, we can notice that an =\(n(n^2 + 1).\)

Thus, the solution to the recurrence relation is an = \(n(n^2 + 1).\)

c) For the recurrence relation an = an-1 +\(3n^2\), a0 = 10, we expand it iteratively:

a1 = a0 + \(3(1^2)\) = 10 + 3 = 13

a2 = a1 + \(3(2^2) =\) 13 + 12 = 25

a3 = a2 + \(3(3^2)\)= 25 + 27 = 52

a4 = a3 + \(3(4^2)\)= 52 + 48 = 100

...

We can notice that an = \(n^3 + 10.\)

Thus, the solution to the recurrence relation is an = \(n^3 + 10.\)

These are the solutions to the given recurrence relations.

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Answer:

X=55

Step-by-step explanation:

Step-by-step explanation:

\(\large\underline{\sf{Solution-}}\)

Given series is

\(\rm :\longmapsto\:65, \: 62, \: 59, \: - - - - \)

Since, its an AP series with

First term, a = 65

Common difference, d = - 3

Let assume that nth term of the series be first negative term.

Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

↝ nᵗʰ term of an arithmetic sequence is,

\(\begin{gathered}\red\bigstar\:\:{\underline{\orange{\boxed{\bf{\green{a_n\:=\:a\:+\:(n\:-\:1)\:d}}}}}} \\ \end{gathered}\)

Wʜᴇʀᴇ,

aₙ is the nᵗʰ term.

a is the first term of the sequence.

n is the no. of terms.

d is the common difference.

Tʜᴜs,

\(\red{\rm :\longmapsto\:a_n < 0}\)

\(\rm :\longmapsto\:a + (n - 1)d < 0\)

\(\rm :\longmapsto\:65+ (n - 1)( - 3) < 0\)

\(\rm :\longmapsto\:65 - 3n + 3 < 0\)

\(\rm :\longmapsto\:68 - 3n < 0\)

\(\rm :\longmapsto\:- 3n < - 68\)

\(\rm \implies\:n > \dfrac{68}{3} \)

\(\rm \implies\:n > 22.66\)

\(\bf\implies \: {23}^{rd} \: term \: is \: first \: negative \: term.\)

So, Option (b) is correct.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

↝ Sum of n  terms of an arithmetic sequence is,

\(\begin{gathered}\red\bigstar\:\:{\underline{\orange{\boxed{\bf{\green{S_n\:=\dfrac{n}{2} \bigg(2 \:a\:+\:(n\:-\:1)\:d \bigg)}}}}}} \\ \end{gathered}\)

Wʜᴇʀᴇ,

Sₙ is the sum of n terms of AP.

a is the first term of the sequence.

n is the no. of terms.

d is the common difference.

Answer:

Step-by-step explanation:

-7y=42

we have to divide by 7

-y=6

multiply by -1

y=-6

Answer:

y=-6

Step-by-step explanation:

divide by -7 on both sides.

Answer:

x=1

Step-by-step explanation:

1 + 1/3 = 4/9

1/3 also equals 3/9

hope this helped :)

Answer :

Step-by-step explanation :

>> (3 × x + x / 3) = 4 / 9

>> (3x + x / 3) = 4 / 9

>> (4x / 3) = 4 / 9

>> 4x × 9 = 3 × 4

>> 36x = 12

>> x = 12 / 36

>> x = 6 / 18

>> x = 3 / 9

>> x = 1 / 3

Answer:

2n^3

Step-by-step explanation:

Answer: 123

Step-by-step explanation: Stop cheating idiot

Answer:

4(x-2)^2

Step-by-step explanation:

4x^2 -16x + 16

= 4(x^2 - 4x +4)

= 4(x - 2)^2  because a^2 - 2ab + b^2 = (a - b)^2

Answer:

The answer is 4(x-2)(x-2) or 4\((x-2)^2\)

Step-by-step explanation:

\(4x^2\)-16x+16

There is a common factor of 4. Factor 4 out.

4( \(x^2\)-4x+4)

Now, there is no factor in front of x, so seperate the equation into two parts, with one x on both sides:

(x ____) (x____)

The constant (4) is positive. Ways to multiply to get positive numbers:

negative x negative or

positive x positive.

Since (-4x) is negative, try with negative numbers first.

(x- ___ ) (x- ___)

Factors of 4 = 1,2,2,4

4 and 1 would combine to give 5.

2 and 2, however, work!

(x-2)(x-2)

FOIL.

x^2-2x-2x+4

x^2-4x+4

The answer is 4(x-2)(x-2) or 4\((x-2)^2\)

Answer:

y = -3x^2/10 + 6x

Step-by-step explanation:

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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Sally purchased 7 pieces of orange .

Conversion applied :

1 dollar = 100 cents

Cost of 1 piece of orange = 51 cents

Cost of 1 piece of apple = 42 cents

Let pieces of orange purchased be x .

⇒ pieces of apples purchased = 11 - x .

The following linear equation becomes ,

51 x + 42 ( 11 - x ) = 5.25 * 100

Solving linear equation in 1 variable given above ,

9 x = 63

x = 7

⇒ no. of oranges purchased = 7

Therefore Sally purchased 7 pieces of orange .

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Answer:

17

Step-by-step explanation:

8^2 + 15^2 = c^2

64 + 225 = c^2

√289 = c

c = 17

Answer:

yes the answer is 17

Step-by-step explanation:

all you have to do for next time is a^2+b^2=C^2

a and b are legs or the lines that are connected to the right angle. the c is the hypotenuse which is always longer than the legs

Answer:

Set {16}

Step-by-step explanation:

1/6x - 5/3 = 1

1/6x = 1 + 5/3

x/6 = 3 + 5/3

x/6 = 8/3

3x = 6 × 8

3x = 48

x = 48/3

x = 16

Answer:

x = 16

Step-by-step explanation:

1/6x - 5/3 = 1

Add 5/3 to each side

1/6x - 5/3+5/3 = 1+5/3

Get a common denominator on the right

1/6x = 3/3 +5/3

1/6x = 8/3

Multiply each side by 6

1/6x *6 = 8/3*6

x = 16

Answer:

The total profit for the grain merchant selling 600 quintals of rice is Rs 12800. To calculate this, we first need to calculate the profit on one quintal. The profit percentage is 7%, so if a quintal costs Rs 250 the profit is 7% of 250 which is Rs 17.5. Now we multiply this with the number of quintals sold, which is 600, to get Rs 10500 as the profit. We then add in the overhead charges of Rs 1000 to get a total profit of Rs 12800. The selling price of 600 quintals of rice is therefore Rs 12800 plus Rs 250 times 600, which equals Rs 180000.

Answer:

The first system goes with the last graph.

The second system goes with the first graph.

The last system goes with the second graph.

Step-by-step explanation:

In the first system, both equations are equal if you put both of the equations in simplified slope-intercept form. When the equations are exactly equal to each other, the lines are the same. And only in the last graph, the line are the exact same line.

In the second system, you can tell even without putting the equations in slope-intercept form that the only difference between the lines are the y-intercepts. When lines have the same slope but different y-intercepts, the lines are parallel, which is shown in graph 1.

For the last system, by elimination, the system matches with the second graph. In this system, you can tell that both the slopes and y-intercepts are different, which means that this equation would actually have one solution, as shown in graph 2.

Sorry it took a while, hope I was able to help. Good Luck!

Answer: 4.17%

Step-by-step explanation:

Formula for percentage error = \(\dfrac{|\text{Estimated weight - Actual weight}|}{\text{Actual weight}}\times100\)

Given: Estimated weight = 2.5 oz

Actual weight = 2.4 oz

Percentage error = \(\dfrac{2.5-2.4}{2.4}\times100\%\)

\(=\dfrac{0.1}{2.4}\times100\%\\\\=\dfrac{100}{24}\%=4.17\%\)

Hence, the percent error = 4.17%

Answer:

(0, 8 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin then multiply the coordinates of point A by 2 , that is

A (0, 4 ) → A' (2(0), 2(4) ) → A' (0, 8 )

Therefore, the probability that Polly selects a lemon jelly bean on the first draw is 1/5 or 0.2 (expressed as a decimal).

If the bag contains orange, lime, cherry, lemon, and grape jelly beans, and we assume that each jelly bean has an equal probability of being selected, then the probability of selecting a lemon jelly bean is:

number of lemon jelly beans / total number of jelly beans

Since we don't know how many jelly beans are in the bag, we can express this as a fraction:

number of lemon jelly beans / total number of jelly beans = ? / ?

However, we do know that there are five different flavors of jelly beans in the bag. Therefore, the total number of jelly beans in the bag must be a multiple of 5. Let's assume that there are 20 jelly beans in the bag, with 4 jelly beans of each flavor.

In this case, the probability of selecting a lemon jelly bean on the first draw is:

number of lemon jelly beans / total number of jelly beans = 4 / 20

= 1/5

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Complete question:

Polly and Percy were sharing a bag of jelly beans. the bag contained orange, lime, cherry, lemon and grape. if polly closes her eyes and pulls out the first jelly bean, what is the probability that the jelly bean is lemon?

The population proportion is an important concept in survey research and statistical analysis, as it represents the parameter of interest for the population being studied.

The population proportion in this case is the percentage of all students at the large university who are registered voters. The political science student used a sample of 777 students to estimate this proportion, and found that 67% of them were registered voters. However, it's important to note that this sample is not necessarily representative of the entire student population at the university, and there may be some degree of sampling error.

To estimate the population proportion more accurately, the political science student could use statistical techniques such as confidence intervals or hypothesis testing. These methods would help to determine the range of likely values for the population proportion, and to assess whether the observed proportion of 67% is significantly different from what would be expected by chance.

Overall, the population proportion is an important concept in survey research and statistical analysis, as it represents the parameter of interest for the population being studied. By carefully selecting a representative sample and using appropriate statistical methods, researchers can estimate this proportion with a high degree of accuracy and precision.
 

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Answer:

i hope my answer help You

Step-by-step explanation:

the answe is d:3/7