x^2 -9 divided by x+3

Answer:

A. The digit 8 is in the place one million position

B. The digit 3 is in the place tens position

Step-by-step explanation:

Given:

98,045,132.706

9 is in the ten million position

8 is in the one million position

0 is in the hundred-thousand position

4 is in the ten-thousand position

5 is in the one-thousand position

1 is in the hundred position

3 is in the tens position

2 is in the one position

. Decimal

7 is in the tenth position

0 is in the hundredth position

6 is in the thousandth position

Therefore,

A. The digit 8 is in the place one million position

B. The digit 3 is in the place tens position

Answer:

Hey there!

You have 50 dollars left.

400+250-500-100=50

Let me know if this helps :)

Answer:

change f(x) to y, switch x and y, and solve for y

y = √(x -4)

x = √(y - 4)

x² = y - 4

x² + 4 = y

y = x² + 4

f⁽⁻¹⁾ = x² + 4, where x ≥ 4

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

Explanation:

To name an angle, we list 3 points on the angle such that the middle point is the vertex of the angle. The vertex is where the two rays are joined (at the endpoints).

So we could say "angle JLG" as you wrote in the first box, or we could say "angle GLJ". This is the same because L is in the middle each time. So the order doesn't matter as long as L is in the middle.

The third way to name this angle is to say "angle 2" or [tex]\angle 2[/tex] for short.

Another way to write this angle is to name it by the vertex point alone.

----------------------

Note: In this case, saying "angle L" is enough info to be able to pinpoint the proper angle. Though in general this naming convention is very limited. If we had other rays attached to point L (say ray LH where point H is not on any of the two rays shown), then writing "angle L" is ambiguous. So keep this in mind.

Answer:

Step-by-step explanation:

7 3/24   + 4/24

7 7/24

Answer:

x=6 is the answer

Step-by-step explanation:

4x-3=2x+9

adding 3 on both sides

4x-3+3=2x+9+3

4x=2x+12

subtracting 2x on both sides

4x-2x=2x-2x+12

2x=12

dividing 2 on both sides

2x/2=12/2

x=6 is the answer.

hope it will help you :)

Step-by-step explanation:

4x - 3 = 2x + 9

Bringing like terms on one side

4x - 2x = 9 + 3

2x = 12

x = 12/ 2

x = 6

Complete Question

The complete question is shown on the first uploaded image

Answer:

The decision is to reject the null hypothesis at a significant level of significance [tex]\alpha = 0.05[/tex] There is sufficient evidence to conclude that at least one of the population mean  is different from  at least of the population  

Step-by-step explanation:

From the question we are told that the claim is

     The mean growth rates of all four species are equal.

The  null hypothesis is  

             [tex]H_o : \mu _1 = \mu_2 = \mu_3 = \mu_4[/tex]

Th alternative hypothesis is    

             [tex]H_a: at \ least \ one \ of \ the \ means \ is \not\ equal[/tex]

From question the p-value is [tex]p-value = 0.015[/tex]

  And since the [tex]p-value < \alpha[/tex] so the null hypothesis will be rejected

So  

   The decision is to reject the null hypothesis at a significant level of significance [tex]\alpha = 0.05[/tex] There is sufficient evidence to conclude that at least one of the population mean  is different from  at least of the population  

Answer:

[tex] \boxed{\sf 15x^2 + 2} [/tex]

Step-by-step explanation:

Simplify the expression:

[tex] \sf \implies(10 {x}^{2} - 1 + 4x) + (3 + 5 {x}^{2} - 4x)[/tex]

Grouping like terms, 10x² + 5x² + 4 x - 4 x - 1 + 3 = (10 x² + 5x²) + (4 x - 4 x) + (-1 + 3):

[tex] \sf \implies (10 x^2 + 5 x^2) + (4 x - 4 x) + (-1 + 3)[/tex]

10x² + 5x² = 15x²:

[tex] \sf \implies 15 x^2 + (4 x - 4 x) + (-1 + 3)[/tex]

3 - 1 = 2:

[tex] \sf \implies 15 x^2 + (4 x - 4 x) + 2[/tex]

4 x - 4 x = 0:

[tex] \sf \implies 15 x^2 + 2[/tex]

Answer:

total books in library = 39

books bought from yard sale = ??

Total book in library now = 84

Now,

books bought from yard sale= 39-84

= 45

Answer:

Step-by-step explanation:

[tex] \sf{ - 5x - 10 = 2 - 2(x - 4)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{ - 5x - 10 = 2 - 2x + 8}[/tex]

Move constant to right hand side and change it's sign

Similarly , Move variable to left hand side and change it's sign

⇒[tex] \sf{ - 5x + 2x = 2 + 8 + 10}[/tex]

Collect like terms

⇒[tex] \sf{ - 3x = 2 + 8 + 10}[/tex]

Add the numbers

⇒[tex] \sf{ - 3x = 20}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{20}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{x = - 6.67}[/tex]

Hope I helped !

best regards!!

Answer:

Step-by-step explanation:

To have Distance proportional to time, the person or object must keep a steady or constant rate like speed.

Let's first look at A runner sprinting in the 100 meter dash, since it tells you nothing about time it goes to not enough information.

Now look at An airplane starting at the end of the runway and taking off, it tells you nothing about time so, not enough information.

Now on to A marathon runner jogging at a constant speed for 45 minutes, this is distance proportional to time, because the runner has a constant rate.

The graph is distance proportional to time because, a straight slanted line indicates a constant speed. If it were curved it would not be constant.

The table with the number is distance not proportional to time because if you find the slopes of (25-5)/(10-5) and (50-25)/(15-10), they are 4 and 5 respectively which means there will not be a straight line on the graph.

Lastly, an airplane traveling at a constant speed across the country is distance directly proportional to time because it has a constant rate which is speed.

Answer:

The  value is  [tex]Z_{\alpha } = 1.439[/tex]

Step-by-step explanation:

From the question we are told that

   The  confidence level is  C  =  85%  

Generally the level of significance is mathematically represented as

         [tex]\alpha = (100 - 85 )\%[/tex]

        [tex]\alpha = 0.15[/tex]

Now from the normal distribution table  the critical value  of [tex]\alpha[/tex] is  

     [tex]Z_{\alpha } = 1.439[/tex]

Answer:

16/33

Step-by-step explanation:

The probability that the first ball is red and the second ball is black is:

8/12 × 4/11 = 8/33

The probability that the first ball is black and the second ball is red is:

4/12 × 8/11 = 8/33

So the total probability of drawing one ball of each color is 8/33 + 8/33 = 16/33.

Answer/Step-by-step explanation:

1. Converting 16 in to cm:

1 in = 2.54 cm

16 in = 16*2.54 = 40.64 cm

2. Converting 345lbs to kg:

1 lbs = 0.4536 kg

345 lbs = 345*0.4536 = 156.492 ≈ 156.49 kg(nearest hundredth)

3. Converting 56 g to oz:

1 g = 0.0353 oz

56 g = 56*0.0353 = 1.9768 ≈ 1.98 oz (nearest hundredth)

4. Converting 450 km to mi:

1 km = 0.6214 mi

450 km = 450*0.6214 = 279.63 mi

5. Converting 1200 ml to fl oz

1 ml = 0.0338 fl oz

1200 ml = 1200*0.0338 = 40.56 fl oz

6. Converting 40 m to ft:

1 m = 3.2808 ft

40 m = 40*3.2808 = 131.23 ft (nearest hundredth)

7. Converting 4 gal to l:

1 gal = 3.785 l

4 gal = 4*3.785 = 15.14 l

8. Converting 12 fl oz to ml:

1 fl oz = 29.575 ml

12 fl oz = 12*29.575 = 354.9 ml

9. Converting 50kg to lbs:

1 kg = 2.2046 lbs

50kg = 50*2.2046 = 110.23 lbs

Answer:

14

Step-by-step explanation:

7x-1+6x-1=180

13x-2=180

13x=180+2

13x=182

x=14

Answer & Step-by-step explanation:

For this problem, we have to find the equations that have a value of 10 for the variable y. Immediately, we can eliminate some answers. We can eliminate A, D, and E because they all have a different value for the variable y. So, that leaves us with answer choices B and C.

In order to check to see if we are correct, let's plug in 10 for the y in answer choices B and C.

B:

8 = 18 - y

8 = 18 - 10

8 = 8

C:

60 = 6y

60 = 6(10)

60 = 60

So, as you can see, we are correct and we have successfully found the correct answer to the given problem.

Answer:

B and C

Step-by-step explanation:

We want to find the equations where y=10 is a solution. Let's plug 10 into each equation and solve.

A. y+11=22

10 +11 =22

Add 10 and 11.

21 ≠ 22

21 does not equal 22. This choice is incorrect.

B. 8= 18-y

8=18-10

Subtract 10 from 18.

8=8

8 equals 8. This choice is correct.

C. 60=6y

60=6(10)

Multiply 6 and 10.

60=60

60 equals 60. This choice is correct.

D. y/5=4

10/5=4

Divide 10 by 5.

2≠4

2 does not equal 4. This choice is incorrect.

E. 10y=20

10(10)=20

Multiply 10 and 10.

100≠20

100 does not equal 20. This choice is incorrect.

The equations where y=10 is a solution are B. 8=18-y and C. 60=6y

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Hi my lil bunny!

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Answer =   [tex]\boxed {x - 2}[/tex]

[tex]3x +1(2x-1)2-1(6x)[/tex]

= [tex]\boxed {3x + 1 . ( 2x - 1 ) . 2 - 1 (6x) = x - 2}[/tex]

Steps :

[tex]3x + 1 . (2x - 1) . 2 - 1 . (6x)[/tex]

Remove the parentheses : [tex](a) = a[/tex]

[tex]= 3x + 1 * (2x- 1) * 2 - 1 * 6x[/tex]

Multiply the numbers : [tex]1 * 2 = 2[/tex]

[tex]= 3x + 2 ( 2x - 1 ) * 6x[/tex]

Multiply the numbers : [tex]1 * 6 = 6[/tex]

[tex]= 3x + 2 ( 2x - 1 ) -6x[/tex]

Expand: [tex]2 (2x - 1) : 4x - 2[/tex]

[tex]2 ( 2x - 1 )[/tex]

Apply the distributive law : [tex]a (b - c) = ab - ac[/tex]

[tex]a = 2, b = 2x, c = 1 \\= 2 * 2x - 2 * 1[/tex]

Simplify [tex]2 * 2x - 2 * 1 : 4x - 2[/tex]

= [tex]= 4x - 2[/tex]

[tex]= 3x + 4x - 2 - 6x[/tex]

Simplify [tex]3x + 4x - 2 - 6x : x - 2[/tex]

= [tex]x - 2[/tex]

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Have a great day/night!

❀*May*❀

Answer:

E

Step-by-step explanation:

So we already know that:

[tex]\lim_{x \to 5} f(x)=2 \text{ and } \lim_{x \to 5} g(x)=-6[/tex]

So, go through each of the choices and see which ones are correct.

I)

We have:

[tex]\lim_{x \to 5} (f(x)+g(x))[/tex]

This is the same as saying:

[tex]\lim_{x \to 5} f(x)+ \lim_{x \to 5} g(x)[/tex]

And since we already know the values:

[tex]=(2)+(-6)\\=-4[/tex]

So, the limit does indeed exist.

II)

We have:

[tex]\lim_{x \to 5} \frac{f(x)}{g(x)+6}[/tex]

This is the same as:

[tex]\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+ \lim_{x \to 5} 6 }[/tex]

The bottom right one is just 6. Simplify:

[tex]\frac{ \lim_{x \to 5} f(x)}{ \lim_{x \to 5} g(x)+6}[/tex]

Substitute the values we know:

[tex]=\frac{(2)}{(-6)+6} \\=2/0[/tex]

This is a value over zero. Unlike the indeterminate form 0/0, this limit does not exist.

III)

We have:

[tex]\lim_{x \to 5} \frac{f(x)-2}{g(x)}[/tex]

Again, this is the same as:

[tex]\frac{ (\lim_{x \to 5} f(x))-2}{ \lim_{x \to 5} g(x)}[/tex]

Substitute in the values we know:

[tex]=\frac{(2)-2}{(-6)}\\ =0/-6=0[/tex]

The limit does exist and it is 0.

So, the limits of only I and III exist.

The correct answer is E.

Answer:

Step-by-step explanation:

8 3/5 on a number line is between 8 and nine

idk how to draw a number line on a computer so ill just tell you how

1. divided the spaces between 8 and 9 into 5 sections ( 3/5 )

2. then mark 3 of those 5 spaces and put a dot or a line at where the 3rd space ends

Answer:

a. 24

b. 12

Step-by-step explanation:

a. You can choose from 4 cities for the first performance, then from 3 cities, then from 2 cities, then the last city.

4 * 3 * 2 * 1 = 24

b. Think of the three performances in California as a unit. Within this unit, you can choose from 3 cities for the first one, then 2 cities for the second one, and finally 1 city for the last one.

3 * 2 * 1 = 6

Now you can have the 3 California performances first, followed by Denver, or Denver first followed by California.

6 * 2 = 12

Answer: 6 m is greater

Step-by-step explanation:

Cm is less than m

Hope it helps

Answer:

25. <

26. <

27. >

28. <

29. <

30. >

Hope it helps!

lovelymoonlight ✨

Answer:

  see below

Step-by-step explanation:

The ordered pairs of the inverse function are the reverse of the ordered pairs of the function.

You are given the function has ordered pairs (-3, -2), (3, -1) and so on. The inverse function will have ordered pairs (-2, -3), (-1, 3), and so on. This matches choice A.

Answer:

Step-by-step explanation:

Hello, any irrational number multiplied by 4 is an irrational number.

For instance, you can take

[tex]\boxed{\sqrt{2}}[/tex]

Thank you

Answer:

y = 9

Step-by-step explanation:

So if x = 3, we can sub that into the equation.

This gives us:

6.4 (* 3) + 2.8y = 44.4

so:

19.2 + 2.8y = 44.4

25.2 = 2.8y

so

y = 9

Answer: 9

Step-by-step explanation: plug 3 into the x, then use the order of operations/ pemdas to solve. first multiply 6.4 and 3 (=19.2) then subtract the answer from 44.4 (now the equation is 2.8y=25.2) then divide 2.8 from 25.2 to get x alone and you are left with x=9

Answer:

Kindly check explanation

Step-by-step explanation:

Given the Coefficient of correlation (r) = 0.864

The Coefficient of determination (R^2) :

0.864^2 = 0.747 ( 3 decimal places)

B) the Coefficient of determinationR^2 tells about the proportion of variation in the dependent variable that is predicted by the independent variable, Hence, a proportion of about 0.75 should fall within the regression line.

C) percentage variation explained :

Coefficient of determination * 100%

0.747 * 100% = 74.7%

D) unexplained variation due to other factors or sampling error :

(total variation - explained variation) = (100 - 74.7)% = 25.3%

Answer:

A) 1000 different selections

B) probability of winning = 0.001

C) Net profit on winning = $257.20

D) E(y) = -0. 89165

E) Option B - The Pick 4 game is a better bet because it has a larger expected value.

Step-by-step explanation:

A) For the different selections possible, since each of the digits from 0 - 9 can take a total of 10 digits, then the different selections possible will be = 10³ = 1000 different selections

B) To find the probability of winning, since only one pick can be a winning one. Thus probability of winning = 1/1000 = 0.001

C) Net profit on winning = Amount won - Amount staked

Amount won = ​$258.35

Amount staked = ​$1.15

Thus;

Net profit on winning = ​$258.35 - ​$1.15

Net profit on winning = $257.20

D) If we call the net profit "y", then Expected value is:

E(y) = 257.2(0.001) - 1.15(1 - 0.001)

E(y) = 0.2572 - 1.14885

E(y) = -0. 89165

E) We are told that:If you bet $ 1.15 in a certain​ state's Pick 4​ game, the expected value is negative −$0.89

The expected value of -0.89 in pick 4 is better than that in pick 3 because it's larger.

Answer:

Step-by-step explanation:

step one:

In this problem we are  expected  to substitute the value of d in the expression for velocity given as

[tex]s=24d[/tex]

step two:

Given that

d= 117 ft

Substituting the value for d in the given equation we have

[tex]s= 24*117\\\\s=2808 ft/s[/tex]

The problem basically tests our ability to perform basic substitution operation which we have performed, should you have any question or doubt, kindly respond to this question

Answer:

53

Step-by-step explanation:

Answer:

2.75 L

Step-by-step explanation:

This is the problem of subtraction.

Total Milk sumana has = 7.5 l

Milk used in the morning = 4.75 L

Milk left for evening = Total Milk sumana has - Milk used in the morning

Milk left for evening = 7.5 l - 4.75 l = 2.75 L

Answer:

4

Step-by-step explanation:

The factors of 8 are 1, 2, 4, and 8.

60 is not divisible by 8, but it is divisible by 4:  4 * 15 = 60. So the GCF of 60 and 8 is 4.