Point J is between H and K on line segment HK. Use the given information to solve for X. Also find the length of line segment HJ.
HK = 33
HJ = 3x-4
JK = 2x+7
X= ?
The length of line segment HJ= ?

Answer:

length of segment LM is 23.

Answer: the empty set

Step-by-step explanation:

There are no real numbers x such that x>2 and x<2, simultaneously.

Answer:

x= -0.7667

Step-by-step explanation:

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial f(x) that has a degree of 8 will have 7 turning points.

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

For any polynomial equation, the number of turning points is always less than or equal to the degree of the polynomial.

Generally, the number of turns is one less than the degree of the polynomial.

Hence,  the polynomial f(x) that has a degree of 8 will have 7 turning points.

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Answer:

I believe the answer is D) 26.

Step-by-step explanation:

Xavier will need 26 weeks to first bike more than 500 miles.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the successive terms is the same.

The distance biked by Xavier during his first week of training is 15 miles.

The increase in the distance biked each week is 0.4 miles.

And we have to find the number of weeks required to first bike more than 500 miles total.

The given situation represents an arithmetic progression (AP) in which,

First term, a = 15

The common difference, d = 0.4

And the sum of n terms, Sn = 500

The formula to find the sum of n terms of an AP is,

[tex]\text{S}_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

We will check which option is correct by putting them in the above equation.

For n = 8, we have

[tex]\text{S}_n = \dfrac{8}{2}[2\times15+(8-1)0.4][/tex]

Sn = 4[30+2.8]

Sn = 131.2

Which is not more than 500, so option (A) is incorrect.

For n = 15, we have

[tex]\text{S}_n = \dfrac{15}{2}[2\times15+(15-1)0.4][/tex]

Sn = 7.5[30+5.6]

Sn = 267

Which is not more than 500, so option (B) is incorrect.

For n = 19, we have

[tex]\text{S}_n = \dfrac{19}{2}[2\times15+(19-1)0.4][/tex]

Sn = 9.5[30+7.2]

Sn = 353.4

Which is not more than 500, so option (C) is incorrect.

For n = 26, we have

[tex]\text{S}_n = \dfrac{26}{2}[2\times15+(26-1)0.4][/tex]

Sn = 13[30+10]

Sn = 520

Which is more than 500, so option (D) is the correct answer.

Hence, Xavier would bike more than 500 miles in 26 weeks.

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Answer:

1/3

Step-by-step explanation:

Answer:

the answer would be 5:2

Answer:

multiply second eqyation by 9

Step-by-step explanation:

then subtract with 1 st eqn

Answer:

[tex]-\frac{1}{2}[/tex] is the slope value.

Step-by-step explanation:

By using the definition of slope (Δy/Δx), we can reason that the slope is:

[tex]\frac{-1}{2} = -0.5[/tex]

Answer:

[tex]\frac{16}{10000}[/tex]

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

Answer:

g(x) = 2x² + 1

Step-by-step explanation:

The parabola got thinner, so to show that, you put a 2 before x² to show that the graph was dilated (or thinned) by a factor of 2 (Note: this number can also be negative, so if the dilation factor is negative, it's okay). Since the parabola shifts up by 1, you then add + 1 after x² to show the positive upward shift.

Your full equation would look like this: g(x) = 2x² + 1

Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.

Answer:

one over five (m-100)

Step-by-step explanation:

the answer to your question is the 2nd one

Answer:

1 / [ 5(m - 4) ] is equivalent to one over five m -20

Step-by-step explanation:

one over five(m − 4)

5(m − 4)

Factor the denominator:

1 / [ 5m - 20 ]  =  1 / [ 5(m - 4) ]

Answer: W (-4, 5) X(-5, 6) Y (-8, 8) Z (-8, 6)

Answer:

-1

Step-by-step explanation:

slope=m

(keep in mind your equation is written in the form y=mx+b)

Answer:

Step-by-step explanation:

rate of change for y = -x - 1

so its the inverse of -x - 1 = -1 - x

therefore, the rate of change = -1

Answer:

150

Step-by-step explanation:

Answer:

152

Step-by-step explanation:

you want to be my friend

Answer:

Solve for  

x  by simplifying both sides of the equation, then isolating the variable.

x = − 9

Answer:

x+9

Step-by-step explanation:

Answer:

Non Proportional

Step-by-step explanation:

A proportional figure relates to two or more figures that correspond in size or amount to one another. The gallon of milk which costs 1.99 is nonproportional to the half-gallon which costs 3.89.

On the other hand, a nonproportional figure does not correspond to in size or amount to one another.

From the given information;

A half-gallon cost 3.89

i.e.

[tex]\mathbf{= \dfrac{1}{2} \times 3.89}[/tex]

= 1.945

Therefore, we can conclude that the gallon of milk which cost 1.99 is nonproportional to the half-gallon which cost 3.89.

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Answer:

$2.25

Step-by-step explanation:

The first thing you do is multiply the prices of tickets by how many they bought.

$8.50 x 2= $17

$5.50 x 3= $16.50

You then add these two numbers together and subtract that from $40.25.

$17+$16.50=$33.50

$40.25-$33.50=$6.75

You then divide $6.75 by 3 to find the answer

$6.75/3=$2.25

Answer:

y = -26

x = -42

Step-by-step explanation:

3x - 5y = 4

x - 2y = 10

x - 2y = 10

x = 2y + 10

3x - 5y = 4

3(2y + 10) - 5y = 4

6y + 30 - 5y = 4

y + 30 = 4

y = -26

x - 2y = 10

x - 2(-26) = 10

x + 52 = 10

x = -42

Check:

x - 2y = 10

(-42) - 2(-26) = 10

-42 + 52 = 10

10 = 10

Answer: y

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

domain is the input and range is the output

Answer:

m∠A = 102°

Step-by-step explanation:

In quadrilateral ABCD, BC is perpendicular to CD

m∠BCD = 90°

(7x - 36) = 90°

7x = 90 + 36

7x = 126

x = 18

Since, m∠A = (5x + 12)

Therefore, m∠A = (5×18) + 12

                           = 90 + 12

                           = 102°

Measure of angle A = 102°

Answer:

a

 [tex]P(X  < 35) =  32.3 \%[/tex]

b

[tex]P(\= X  < 35) =  0.6 \%[/tex]

Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy

c

A potential confounding variable for this study is  the population of the koalas because in the first question the population was not taken into account and the probability was  [tex]P(X  < 35) =  32.3 \%[/tex] but when the population was taken into account (i.e  n =  30) the probability became

[tex]P(\= X  < 35) =  0.6 \%[/tex]  

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu =  35.6^oC[/tex]

   The standard deviation is  [tex]s =  1.3^oC[/tex]

   The sample size is  n = 30

Generally the  probability that a health koala has a body temperature less than 35.0°C is mathematically represented as

     [tex]P(X  < 35) =  P(\frac{X  - \mu }{s}  < \frac{35 - 35.6}{1.3} )[/tex]

Here  [tex](\frac{X  - \mu }{s} =  Z (The   \ standardized \  value \  of  \  X )[/tex]

So

    [tex]P(X  < 35) =  P(Z < -0.46)[/tex]

From the z-table  P(Z <  -0.46) =  0.323

So  

    [tex]P(X  < 35) =  0.323 [/tex]

Converting to percentage

      [tex]P(X  < 35) =  0.323  * 100 [/tex]

      [tex]P(X  < 35) =  32.3 \%[/tex]

considering question b

The sample mean is  [tex]\= x =  35[/tex]

Generally the standard error of the mean is mathematically represented as

   [tex]\sigma_{\= x} =  \frac{s}{\sqrt{n} }[/tex]

=>  [tex]\sigma_{\= x} =  \frac{1.3}{\sqrt{30} }[/tex]

=>  [tex]\sigma_{\= x} =  0.2373 [/tex]

Generally the probability of the mean body temperature of koalas being less than 35.0°C is mathematically represented as

 [tex]P(\= X  < 35) =  P(\frac{\= X  -  \mu  }{\sigma_{\= x }} <  \frac{35 -35.6}{0.2373 }  )[/tex]

[tex]P(\= X  < 35) =  P(Z< -2.53  )[/tex]

From the z-table  we have that

   [tex]P(Z< -2.53  ) =  0.006[/tex]

So

 [tex]P(\= X  < 35) = 0.006 /tex]

Converting to percentage

      [tex]P(\= X  < 35) =   0.006  * 100 [/tex]

      [tex]P(\= X  < 35) =  0.6 \%[/tex]

Here the probability of koalas mean temperature being less than 35 °C is very small hence the koalas are not healthy

A potential confounding variable for this study is  the population of the koalas because in the first question the population was not taken into account and the probability was  [tex]P(X  < 35) =  32.3 \%[/tex] but when the population was taken into account (i.e  n =  30) the probability became

 [tex]P(\= X  < 35) =  0.6 \%[/tex]  

Answer:

60 miles

Step-by-step explanation:

Answer:

10y + 15

Step-by-step explanation:

5(2y + 3)

= 5x2y + 5x3

= 10y + 15

Answer:

750

3000 6^√3= 3602.8109

Step-by-step explanation:

i cant tell for the middle part if its

2.  ³√3 or 2³. √3

so the first answer is for the first one and the second is for the second one

13.86 would be about how much that is

Answer:it’s 13

Step-by-step explanation:

Answer:

2.333333333

Step-by-step explanation:

divide 3 into 7 and it's is repeating

Answer:

Step-by-step explanation:

Answer:

21 minutes of game time.

Step-by-step explanation:

Since its every 7 minutes he reads he gets one minute of game time and reads fir 147 minutes you would divide 147 by 7 to get 21 minutes of game time. hope this helped :)