Someone please help! Thxx

Answer:

Step-by-step explanation:

Hello,

Question 15

We can search x such that:

   [tex]x^2-4x+4=2x-5\\\\\text{*** subtract 2x-5 from both sides ***}\\ \\x^2-4x-2x+4+5=0\\ \\\text{*** simplify ***}\\ \\x^2-6x+9=0 \\ \\\text{*** we can notice a perfect square ***}\\ \\x^2 -2\cdot x \cdot 3 + 3^2=(x-3)^2=0\\\\\text{*** taking the root ***}\\\\x-3=0\\\\\large \boxed{\sf \ \ x=3 \ \ }[/tex]

There is 1 solution.

Question 16

Again, we search x such that:

  [tex]x^2-8x+15=2x-6\\\\\text{*** subtract 2x-6 from both sides ***}\\\\x^2-8x-2x+15+6=0\\\\\text{*** simplify ***}\\\\x^2-10x+21=0 \\ \\\text{*** we are looking for two roots where the sum is 10 and the product is 21 = 7 x 3 ***} \\\\x^2-7x-3x+21=x(x-7)-3(x-7)=(x-3)(x-7)=0\\\\\large \boxed{\sf \ \ x= 3 \ or \ x =7 \ \ }[/tex]There are two solutions.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

theater

pls mark me as BRAINLIEST

Answer:

3 feet

Step-by-step explanation:

To find x, we can write the following equation:

x + 4 + x = 10

2x + 4 = 10

2x = 6

x = 3 feet

Answer:

The calculated value Z = 2 > 1.96 at 0.05 level of significance

Alternative Hypothesis is accepted

The proportion of defective tablets manufactured in this factory is less than 6%."

Step-by-step explanation:

Step(i):-

Given Population proportion P = 0.06

Sample size 'n' = 500

A random sample of 500 tablets from this factory is selected, and it is found that 20 of them were defective.

Sample proportion

                                  [tex]p^{-} = \frac{x}{n} = \frac{20}{500} =0.04[/tex]

Null hypothesis :H₀: P = 0.06

Alternative Hypothesis :H₁:P<0.06

Level of significance = 0.05

Z₀.₀₅ = 1.96

Step(ii):-

       Test statistic

                          [tex]Z = \frac{p^{-} -P}{\sqrt{\frac{P Q}{n} } }[/tex]

                         [tex]Z = \frac{0.04 -0.06}{\sqrt{\frac{0.06 X 0.94}{500} } }[/tex]

                        Z =  - 2

                    |Z|= |-2| = 2

Step(iii):-

The calculated value Z = 2 > 1.96 at 0.05 level of significance

Null hypothesis is rejected

Alternative Hypothesis is accepted

The proportion of defective tablets manufactured in this factory is less than 6%."

Answer:

$13.62

Step-by-step explanation:

By working backward we can see that before she cleaned the windows she had $6.81.

We know that she spent half her allowance on the arcade and the $6.81 she had before cleaning the windows is the other half.

So, if you multiply by 2 you get that here weekly allowance is $13.62.

Answer:

$13.62

Step-by-step explanation:there

Answer: Choice C.  an = 8 + 9(n-1)

===========================================

Work Shown:

a1 = 8 is the first term

a7 = 62 is the seventh term

an = a1+d(n-1) = nth term of arithmetic sequence

a7 = a1+d(7-1) ... plug in n = 7; solve for d

62 = 8+d(6)

62 = 6d+8

6d+8 = 62

6d = 62-8

6d = 54

d = 54/6

d = 9 is the common difference

an = a1 + d(n-1)

an = 8 + 9(n-1) is the nth term of this arithmetic sequence

Answer:

Choice C.  an = 8 + 9(n-1)

Step-by-step explanation:

I just took the test

Answer:

The  number expected to pass that test is  [tex]k = 14 \ employees[/tex]

Step-by-step explanation:

From the question we are told that

      The probability of  success is  p  =  0.91

       The sample size is  n  =  15  

 The number of employee that will pass the test is mathematically represented as

          [tex]k = n * p[/tex]

substituting values

        [tex]k = 15 * 0.91[/tex]

      [tex]k = 14 \ employees[/tex]

Answer: 430

Step-by-step explanation:

An average of 5 scores can be found via: (the sum of the scores)*5.  Thus, simply multiply 86*5 to get that the sum of his scores is 430

Hope it helps <3

Answer:

We can see that for this case the vertex is [tex] V= (0,0)[/tex]

The values for a and b are:

[tex] a = \sqrt{169}=13, b= \sqrt{25}=1[/tex]

Then the ellipse have the major axis on x.

In order to find the two foci we need to use the following formula:

[tex] c =\sqrt{a^2 -b^2}[/tex]

And replacing we got:

[tex] c =\sqrt{169-25}= \pm 12[/tex]

And then the two foci are (12,0) and (-12,0)

And the covertex are on this case (-13,0) (13,0) and (0,5) (0,-5) on the y axis

Step-by-step explanation:

For this problem we have the following equation given:

[tex]\frac{x^2}{169} + \frac{y^2}{25}= 1[/tex]

If we compare this with the general expression of an ellipse given by:

[tex] \frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}= 1[/tex]

We can see that for this case the vertex is [tex] V= (0,0)[/tex]

The values for a and b are:

[tex] a = \sqrt{169}=13, b= \sqrt{25}=1[/tex]

Then the ellipse have the major axis on x.

In order to find the two foci we need to use the following formula:

[tex] c =\sqrt{a^2 -b^2}[/tex]

And replacing we got:

[tex] c =\sqrt{169-25}= \pm 12[/tex]

And then the two foci are (12,0) and (-12,0)

And the covertex are on this case (-13,0) (13,0) and (0,5) (0,-5) on the y axis

Answer:

1. D

2. B

3. A

Step-by-step explanation:

Question 1:

The pair of <JKL and <LKM can be referred to as linear pairs. They are two adjacent angles that are formed from the intersecting of two lines.

Question 2:

Given that <KLM = x°

<KML = 50°

<JKL = (2x - 15)°

According to the exterior angle theorem, exterior ∠ JKL = <KLM + KML.

2x - 15 = x + 50

Solve for x

2x - x = 15 + 50

x = 65

Therefore, <KLM = 65°

QUESTION 3:

<JKL = 2x - 15

Plug in the value of x

<JKL = 2(65) - 15

= 130 - 15

<JKL = 115°

Answer:

The statement

the product of 60 and the number of seconds is written as

60 * s

Hope this helps you

Answer: The answer is 0.1350

Step-by-step explanation:

Given data

n=36

p=1/2

q=1/2

X=18

O=3

U = 18

a. With n = 36 and p = q = 1/2, you may use the normal approximation with µ = 18 and o = 3. X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17. p = 0.1350.

The probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.

Given that,

ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even.

We have to determine,

What is the probability that a subject would guess exactly 18 correct in a series of 36 trials?

According to the question,

Number of trials n = 36

The probability must per whether a number randomly generated by a computer will be odd is 1/2 or even is 1/2.

By using the normal approximation,

[tex]\mu = 18 \ and \ \sigma = 3[/tex]

Therefore,

X = 18 has real limits of 17.5 and 18.5 corresponding to z = -0.17 and z = +0.17.

p = 0.1350

Hence, the probability that a subject would guess exactly 18 correct in a series of 36 trials is 0.1350.

To know more about Probability click the link given below.

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Answer:

.9375 days

Step-by-step explanation:

1.25 / 4 = 0.3125

0.3125 x 3 - 0.9375

Answer:

answer is B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A, b, c, and d are all points. the line segements are: ab, bc, cd, da, and ac

Answer:

When you reflect a shape avross the y-axis, the y-coordinates stay the same, but the x-coordinates turn into its opposites.

Step-by-step explanation:

EXAMPLES:

(3,6)---(reflected over y-axis)--> (-3,6)

(9,2)---(reflected over y-axis)--> (-9,2)

Hope this helped! Brainliest would be really appreciated :)

Answer:

5,000

Step-by-step explanation:

If it decreases by 5% a year, it'll decrease by 75% in 15 years

i.e 1 year = 5%

15 years = x

Cross multiply

x = 75%

Therefore, since it decreases by 75%

100 - 75 x 20,000 = 5,000

100

Answer:

B.

Step-by-step explanation:

Vincent’s construction method produces a hexagon that may not be equilateral and may not be equiangular. The correct option is D.

A regular polygon is a polygon that is equiangular and equilateral. Therefore, the measure of all the internal angles and the measure of all the sides of the polygon are equal to each other.

Given that Vincent wants to construct a regular hexagon inscribed in a circle. He draws a circle on a piece of paper. He then folds the paper circle three times to create three folds representing the diameters of the circle.

Now as it can be seen as the paper is folded as shown in the below image but it does not create a hexagon that is equilateral and equiangular.

Hence, Vincent’s construction method produces a hexagon that may not be equilateral and may not be equiangular.

Learn more about Regular Polygon:

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Answer: x = 5, x = -7/2

Step-by-step explanation:

2x² - 3x - 35 = 0

Step 1: Find two values whose product = 2(-35) and sum = -3:  -10 & 7

Step 2: Replace the b-value of -3x with  -10x + 7x:

2x² - 10x   + 7x - 35 = 0

Step 3: Factor the first two terms and the second two terms:

2x(x - 5)  +7(x - 5) = 0

Step 4: Write the factored form:

Notice that the parenthesis are identical.  This is one of the factors. The outside values are the other factor:

Parenthesis: (x - 5)

Outside: (2x + 7)

Factored form: (x - 5)(2x + 7) = 0

Step 5: Set each factor each to zero and solve for x:

x - 5 = 0             2x + 7 = 0

   x - 5                      [tex]x=-\dfrac{7}{2}[/tex]

The solutions of the quadratic equation given as 2x² - 3x - 35 = 0 are x=5 and x =-3.5.

Given that:

2x² - 3x - 35 = 0

This is a quadratic equation.

It is required to find the solutions of this equation.

The solution of the quadratic equation of the form ax² + bx + c = 0 can be found using the quadratic formula:

[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

From the given equation:

a = 2

b = -3

c = -35

Substitute to the quadratic formula.

[tex]x=\frac{-(-3)\pm \sqrt{(-3)^2-4(2)(-35)}}{2(2)}[/tex]

  [tex]=\frac{3\pm \sqrt{9+280}}{4}[/tex]

  [tex]=\frac{3\pm \sqrt{289}}{4}[/tex]

  [tex]=\frac{3\pm 17}{4}[/tex]

So, the solutions are:

[tex]x=\frac{3+ 17}{4}=5[/tex], and [tex]x=\frac{3-17}{4}=-3.5[/tex]

Hence, the solutions are x =5, -3.5.

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Answer:

D. The linear parent function

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable. The independent variable is commonly depicted as x while the dependent variable is y.

Thus a linear equation is an equation of the type y=ax where a is a constant term. The equation of a straight line graph his y=mx +c, where;

m= gradient of the straight line graph

x= the independent variable

y= the dependent variable

c= the vertical intercept

Answer:

The linear parent function :)

Step-by-step explanation:

Answer:

Triangle D is your answer.

Answer:

Hey there!

Triangle C is unique, as one side and two angles determine a unique triangle.

Hope this helps :)

Answer:

The mean is more useful in this case because it would give an average value of the accidents for example 3 accidents per year but the median would give the middle value which may be 5  or greater or much lesser than the average. It would not give an approximate value of occurrences.

Step-by-step explanation:

Mean is the averaage of all the values.

Median is the value of the data which gives an estimate of the middle value. Middle values can be different than the average values.

The mean is

1) rigorously defined by a mathematical formula.

2) based on all the observations of the data

3) affected by extreme values

The meadian is

1) computed for open end classes like income etc.

2) not rigorously defined

3) is located when the values are not capable of quantitative measurment.

4) is not affected by extreme values.

The mean is more useful in this case because it would give an average value of the accidents for example 3 accidents per year but the median would give the middle value which may be 5  or greater or much lesser than the average. It would not give an approximate value of occurrences.

Answer:

Brian is 6 years old, John is 9 years old

Step-by-step explanation:

i.

J = 3 + B

J x B = 54

ii.

(3 + B) x B = 54

B² + 3B = 54

iii.

(B + 9)(B - 6) = 0

B = -9 or 6 -- -9 is irrational as one cannot be negative years old

Brian = 6 years old; therefore, John = 9 years old

Answer:

5 + 12i

Step-by-step explanation:

(3 + 2i)^2 = (3 + 2i)(3 + 2i) = 9 + 6i + 6i + 4i^2 = 9 + 12i - 4 = 5 + 12i

Answer:

5 + 2i

Step-by-step explanation:

since [tex]\sqrt{-1} = i[/tex]

Use the perfect square formula ( a + b )^2

= 3^2 + 2 · 3 · 2i + (2i)^2

= 5 + 2i

or,

[tex]5+2\sqrt{-1}[/tex]

If the path is perpendicular to the field it is zero.

If the path is along the field it is positive or negative depending on it's direction.

See the attached picture.

The answer is C.) I, III, and V

The statement 1, 2, and 5 will be correct hence option (C) will be correct.

A frequency table is a list of objects with the frequency of each item shown in the table.

In other words, a frequency table is a table in which we have some data and their frequency.

The frequency of an occurrence or a value is the number of times it happens.

In option (C)

1st statement;

Math is the most popular subject in the 10th grade.

In 10th grade, maths is 104 rest are less so it is correct.

3rd statement;

Science is more popular than math among 12th-grade students.

The number of science lovers in the 12th is 78

The number of maths lovers in 12th is 52

So it is also correct.

5th statement;

Overall favorite course is history.

A number of overall favorite courses is history = 403 which is higher than others hence it is also correct.

So option (C) is correct rest are incorrect.

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Answer:

nine hundred five thousand two hundred thirty-eight

Answer:

bar graphs

Step-by-step explanation:

as in a bar graph, we don't do any calculations to graph on a paper,

so the data values, are taken RAW while graphing.

Answer:

-11/24

Step-by-step explanation:

5/12 - 7/8

We need to get a common denominator of 24

5/12 *2/2  - 7/8 *3/3

10/24 - 21/24

-11/24

Answer:

-11/24

Step-by-step explanation:

Well to solve 5/12 - 7/8 we need to find the LCM.

12 - 12, 24, 36, 48

8 - 8, 16, 24, 32, 40

So the LCM is 24.

Meaning we need to make both denominators 24.

12*2 = 24 5*2 = 10

10/24

8*3 = 24 7*3 = 21

21/24

10/24 - 21/24

= -11/24

Thus,

the answer is -11/24.

Hope this helps :)

Answer:

-7 > x

Step-by-step explanation:

3(x-4)>5x+2

Distribute

3x-12>5x+2

Subtract 3x from each side

3x-12-3x>5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12-2>2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

Answer:

[tex]\boxed{x<-7}[/tex]

Step-by-step explanation:

3(x-4)>5x+2

Expand brackets.

3x - 12 > 5x+2

Subtract 3x and 2 on both sides.

-12 - 2 > 5x - 3x

-14 > 2x

Divide both sides by 2.

-7 > x

Switch sides.

x < -7