If = and x > 0 what is the value of x ?

Answer:

[tex]r=-3/5=-0.6[/tex]

Step-by-step explanation:

We have the equation:

[tex]6^{-3r}=6^{2r+3}[/tex]

Since their bases are the same, the exponents must be equivalent. So:

[tex]-3r=2r+3[/tex]

Solve for r, subtract 2r from both sides:

[tex]-5r=3[/tex]

Divide both sides by -5:

[tex]r=-3/5=-0.6[/tex]

So, the value of r is -3/5.

And we're done!

Answe67

Step-by-step explanation:

Answer:

D. 9.1 – 10 = 0.2x

Step-by-step explanation:

I got it right

The odd equation with a different value is equation d

Data;

To solve this problem, we have to solve each of the linear equations and get the value of x.

a)

[tex]9.1 = -0.2x + 10\\10 - 9.1 = 0.2x\\0.9 = 0.2x\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5[/tex]

b)

[tex]10 = 9.1 + 0.2x\\0.2x = 10 - 9.1\\0.2x = 0.9\\\frac{0.2x}{0.2} = \frac{0.9}{0.2} \\x = 4.5\\[/tex]

c)

[tex]10 - 0.2x = 9.1\\-0.2x = 9.1 - 10\\-0.2x = -0.9\\x = 4.5[/tex]

d)

[tex]9.1 - 10 = 0.2x\\0.2x = -0.9\\x = -4.5[/tex]

The odd equation with a different value is equation d

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Answer:

6n + 7 = 7n

Step-by-step explanation:

Number of students involved in sports = 5n + 7

Number of students involved in student council = n

Number of students involved in sports and student council = (5n + 7) + n = 5n + 7 + n = 6n + 7

Number of students involved in band = 3n - 2

Number of students involved in drama club = 2(2n + 1)

Number of students involved in band and drama club = (3n - 2) + 2(2n + 1) = 3n - 2 + 4n + 2 = 7n

Equation to model number of students involved in sports and student council which equal number of students involved in band and drama club:

6n + 7 = 7n

Answer:

a

 Mutually exclusive

b

Not Mutually exclusive

c

Not Mutually exclusive

d

Not Mutually exclusive

Step-by-step explanation:

From the question we are told that

The number of bolt is n = 12

The event that all the bolt are torqued correctly is A

The event that the 3rd bolt is not torqued correctly is B

The event that exactly one bolt is not torqued correctly is C

The event that the [tex]4^{th}[/tex] and [tex]8^{th}[/tex] are torqued correctly is D

Generally for an event to be mutually  exclusive it means that both event can not occur at the same time

    Considering a  

      The  A and  B are mutually exclusive because they can not occur at the same time

    Considering b  

 The  event B and D are not mutually exclusive because they can occur at the same time

    Considering c

 Event  C and  D are not mutually exclusive because they can occur at the same time

    Considering d

   Event       B and  C are not mutually exclusive because they can occur at the same time

Answer:

A.$12

B.$4.5

C.4.5$ per game + 12$

Step-by-step explanation:

It shows the first payment being 12$ so A is 12$

then it goes up to 16.5$ so

16.5-12= 4.5$

So 4.5$ per game.

C. 4.5$ per game + 12$

Answer:

C

Step-by-step explanation:

73.89 x .05 = 3.6945

but to round it will become 3.69

Answer:

C. $3.69

Step-by-step explanation:

I hope this helps!

Answer:

1. 3>-3

2. 12<24

3. -12>-24

4. 5=-(-5)

5. 7.2>7

6. -7.2<-7

7. -1.5=-3/2

8. -4/5>-5/4

9. -3/5=-6/10

10. -2/3<1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

it that going to come on cxc

Answer:

it was right but ok

Step-by-step explanation:

First find the total number

6+4+5+3 = 18

6th graders : total

4 : 18

Divide each side by 2

4/2:   18/2

2 : 9

Answer:

Explained below.

Step-by-step explanation:

The information provided is as follows:

[tex]\mu=98.6^{o}F\\\bar x=98.1^{o}F\\s=0.9^{o}F\\n=9[/tex]

(1)

A single mean test is to be performed in this case.

As the population standard deviation is not provided, a one-sample t-test will be used.

The correct option is b.

(2)

The null hypothesis is:

H₀: The average temperature in the population is 98.6°F, i.e. μ = 98.6°F.

The correct option is b.

(3)

The alternative hypothesis is:

Hₐ: The average temperature in the population is less than 98.6°F, i.e. μ < 98.6°F.

The correct option is c.

(4)

The standard deviation of the sample mean is as follows:

[tex]SD_{\bar x}=\frac{s}{\sqrt{n}}=\frac{0.9}{\sqrt{9}}=0.3^{o}F[/tex]

Thus, the value of SD is 0.3°F.

(5)

Compute the value of test statistic as follows:

[tex]t=\frac{\bar x-\mu}{SD_{\bar x}}[/tex]

  [tex]=\frac{98.1-98.6}{0.3}\\\\=-1.666666667\\\\\approx -1.67[/tex]

Thus, the value of test statistic is -1.67.

(6)

The degrees of freedom of the test are:

df = n - 1

   = 9 - 1

   = 8

Thus, the degrees of freedom of the test is 8.

Testing the hypothesis, it is found that:

1. e. a t-test because the SD of the population is unknown.

2. B. That the average temperature in the population is 98.6.

3. C. That the average temperature in the population is less than 98.6.

4. The standard error is of 0.3.

5. The test statistic is t = -1.67

6. There are 8 df.

We have the standard deviation for the sample, hence, a t-test should be used.

At the null hypothesis, it is tested that the average body temperature among all healthy adults is of 98.6ºF, hence the answer to question 2 is b.

At the alternative hypothesis, it is tested if the average is lower, hence, the answer to question 3 is C.

In this problem:

The standard error is of:

[tex]s_e = \frac{0.9}{\sqrt{9}} = 0.3[/tex]

The test statistic is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 98.6[/tex] is the value tested at the null hypothesis, hence:

[tex]t = \frac{98.1 - 98.6}{0.3}[/tex]

[tex]t = -1.67[/tex]

The amount of degrees of freedom is one less than the sample size, hence there are 8 df.

A similar problem is given at https://brainly.com/question/13873630

Answer:

a)-27/20

Step-by-step explanation:

3/5 ÷ (-4/9)

3/5 × (-9/4)

-27/20

Hope it will help

Answer: 18

Step-by-step explanation:

when there is a in front of an expression in parentheses change the sign of each term in the expression. 9+9=18 so ANSWER 18

Answer: −1 /3 m+ 10 /9

Step-by-step explanation:

Answer:

x² + 2x - 3

Step-by-step explanation:

Step 1: Write expression

(4x² - 3x + 1) - (3x² - 5x + 4)

Step 2: Distribute negative

4x² - 3x + 1 - 3x² + 5x - 4

Step 3: Combine like terms (x²)

x² - 3x + 1 + 5x - 4

Step 4: Combine like terms (x)

x² + 2x + 1 - 4

Step 5: Combine like terms (constants)

x² + 2x - 3

Answer:

(a) Mean

(b) Mean

Step-by-step explanation:

(a) Mean is influenced by two things, occurrence and difference in values. Mode is influenced by one thing only, occurrence. Median is positional in rank order so only indirectly influenced by value.

(b) The mean is the most accurate way of deriving the central tendencies of a group of values, not only because it gives a more precise value as an answer, but also because it takes into account every value in the list.

Answer:

it would be option C)  (x – 10)(x + 2)(x + 6)

Step-by-step explanation:

You have to divide x^3 -2x^2 -68x -120 by x + 2 to get x^2 - 4x -60 and then factor

The factors of the function are  (x + 2)(x - 10)(x + 6).

Any expression which is formed by using constants, variables, and exponents is polynomial, it is solved with the help of mathematical operators. Polynomial is made by the parts "poly" and "nominal"  here "poly" means many and "nomial" means terms.

Given f(-2) = 0

f(x) = x³ - 2x² - 68x - 120  .........(1)

one factor of function is x + 2

divide the function by x + 2

multiply x² by x +2

x²(x + 2) = x³ + 2x²

subtract the term from equation 1 we get,

x³ - 2x² - 68x - 120 - x³ - 2x²

= -4x² - 68x -120 ......(2)

now multiply -4x by x + 2

-4x(x + 2) = -4x² - 8x

subtract the term from equation 2 we get

-4x² - 68x -120 - (-4x² - 8x)

-60x - 120 ........(3)

again multiply -60 by (x + 2)

-60(x + 2) = -60x - 120

subtract from equation 3

-60x - 120 - (-60x - 120) = 0

The quotient we get from the division is,

x² - 4x - 60

here are the factors of x² - 4x - 60 = (x - 10)(x + 6)

Hence, the factors of polynomials are (x + 2)(x - 10)(x + 6).

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slope intercept:

y=3/4x-7

point slope form:

I used the y intercept (0,-7) as a point to plug into point slope form.

y+7=3/4(x-0)

The linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

The slope is given as:

m = 3/4

The y-intercept is given as:

c = -7

A linear equation in slope intercept form is represented as:

y = mx + c

So, we have:

y = 3/4x -  7

The equation in point slope form is calculated as follows:

y = 3/4x -  7

Add 7 to both sides

y + 7 = 3/4x

Express 3/4x as 3/4(x)

y + 7 = 3/4(x)

Subtract 0 from x

y + 7 = 3/4(x - 0)

Hence, the linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

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Answer:

Step-by-step explanation:

= [tex](-\frac{\sqrt{3}}{2} - \frac{1}{2}i)^1^2[/tex]

= [tex](-\frac{\sqrt{3}}{2} - \frac{i}{2})^1^2[/tex]    

= [tex](\frac{\sqrt{3} -i}{2})^1^2[/tex]

apply the exponential rule:

    ([tex]-\sqrt{3}-i[/tex])¹²

=  --------------

         2¹²

note: ([tex]-\sqrt{3}-i[/tex])¹² = 4096

= 4096

  4096

= 1

Answer:

B

Step-by-step explanation:

Answer:

k' = (-3,0)

j' = (0,5)

l' = (-3,3)

Step-by-step explanation:

if you reflected over the x- axis

then the y points would would change to the opposite

k = (-3,0)

j = (0,-5)

l = (-3,-3)

Answer:

She made $105.75 working as a waitress

She made $367.50 working as a maths tutor

Step-by-step explanation:

Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress.

Hence, the number of hours worked as a maths tutor =

30 - 9

= 21 hours

When she works as a waitress she receives $11.75 per hour

Hence, $11.75 × 9 hours

= $105.75

Hence, she made $105.75 working as a waitress

When she works as a math tutor she received $ 17.50 per hour.

$17.50 × 21 hours

$367.50

Hence, she made $367.50 working as a waitress

Answer:

59

Step-by-step explanation:

c=coffee, j=juice

c + j >=127

j = c +9

c + c + 9 >=127

2c >=127-9

2c>=118

c>= 59

check by 59+59+9=127

A,C,D

(going top left to bottom right)

(a) b

(c) (d)

e f

Your teacher didn't put any xy axis on this grid. But I'm assuming that the vectors are coming from the origin (0,0)

If that is the case, then vector v = (-2,4) and vector u = (2,1)

Add the corresponding coordinates to get

v+u = (-2,4)+(2,1) = (-2+2,1+4) = (0,5)

The general rule for adding vectors is

if u = (a,b) and v = (c,d), then u+v = (a+c, b+d)

Answer:

-32

Step-by-step explanation:

Simply input the x and y values.

New equation:

| 147-(-9) | /(-4) +7

Step one:

147-(-9)   = 156

Step two:

|156|/-4    =-39

Step three:

-39+7      =-32

If you evaluate the expression it comes out to -32

Answer:

1 4/5

Step-by-step explanation:

1 1/4+2/5=1 13/20

1 13/20+3/20= 1 6/20

simplified down to 1 4/5

Answer:

You would use > and <, if the first number is greater than the other, you would use >, and vice versa. For the others, you would write the numbers in the order stated, for example, 0, 5, and -7 would be written as -7, 0, 5, -7 being the smallest number, and 5 being the biggest number. Hope this helps.

Answer:

1: <

2: >

3: <

4: <

5: >

6: >

7: _-7_0_5_

8:  _-10_3_10_

10: _-1/2_-8_0_1/2

There are the answers, the only one im not sure about is 10