If a sprinkler rotated 90˚, paused and then rotated another 90˚, how many degrees
did it rotate altogether

Answer:

(-4)^5

Step-by-step explanation:

(-4)^(8 + 3)/(-4)^(4 + 2) = (-4)^11/(-4)^(6) = (-4)^(11-6) = (-4)^5

Answer: s = 47°

Step-by-step explanation:

     This shape is a hexagon because it has 6 sides.

-> There are 720° total in a hexagon.

   Using this information, we will add together all the angles, set it equal to 720°, and solve for x.

(3s - 41)° + (3s - 12)° + (3s - 38)° + (3s)° + (125)° + (3s-19)° = 720°

3s° - 41° + 3s° - 12° + 3s° - 38° + 3s° + 125° + 3s° - 19° = 720°

3s° + 3s° + 3s° + 3s°+ 3s° - 12° - 38° - 41° + 125° - 19° = 720°

15s° + 15° = 720°

15s° = 705°

s = 47°

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

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Answer:

Factor by grouping.

(3x−1)(3x+2)

Step-by-step explanation:

Answer:

I can't solve it.

Step-by-step explanation:

Step-by-step explanation:

-3m > 75

3m < -75

m < -25

that's it.

Answer:

m< - 25

Step-by-step explanation:

-3m > 75  

(-3m)/(-3) <75/(-3) (divide both members by (-3) (which is a negative number so  ">" becames "<")

m<-25

Answer:

5

Step-by-step explanation:

When you are looking for a pattern, look at one of the examples, makeup the pattern, then check it on the other examples.

Wrong answers may work on one, but not all the completed examples.

The right answer will work on all of the examples, then use that rule on the incomplete one.

So, I looked at the second one in the top row. The two bottom numbers, 5 + 13 makes 18. And 18÷3 (the top number, gives the center number) Check on other examples.

bottom + bottom=_

_÷top=center.

8+4=12, 12÷3 =4.

9+5=14, 14÷2=7

Both of these work.

So use the rule for the last one.

Add the bottom numbers, divide by the top number, fill it in the middle.

14+6=20

20÷4=5

Fill in 5.

Answer: 3.905 rounded

Step-by-step explanation: The thousandth in this number is 4.

Round it up since when its 5 or more you add 1 more/raise the score

The answer is 3.905

None of the given options are matching. For the expression after putting the value 2 on the place of x. We will get 10 for expression 1 and 0 for the expression 2.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

The given equation is;

Equation 1;

[tex]\rm 3x+4[/tex]

Equation 2;

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

After putting the value 2 on the place of x we get;

Equation 1;

[tex]\rm = 3x+4[/tex]

[tex]=3 \times 2+4 \\ =10[/tex]

Equation 2;

[tex]= x+6-3x-2\\\\\ =2+6-3\times 2-2 \\\\ =2+6-6-2\\\\ =8-6-2 \\\\ = 0[/tex]

Hence, the none of the given options are matching.

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Answer:

[tex]3n^2-4n-3[/tex]

Step-by-step explanation:

The difference between each number is 5,11,17,23 and the difference between these numbers is 6. So by dividing 6 by 2, you get the n^2 co-efficient which in this case is [tex]3n^2[/tex].

Then compare the [tex]3n^2\\[/tex] pattern to the original pattern so:

-4, 1, 12, 29, 52

3, 12, 27, 48, 75

Subtract the original nth term sequence by the new [tex]3n^2\\[/tex] pattern and you will get:

-7, -11, -15, -19, -23

The nth term of this new sequence is -4n-3.

By combining the 2 nth terms together, you get [tex]3n^2-4n-3[/tex].

Hope this helps!

Answer:

165 is your cost in dollars

Step-by-step explanation:

d = 15c

11 * 15c = 165c

Answer:

D

Step-by-step explanation:

Start by plugging in all the domain values (domain means input) into the function.

f(-1) = 4(-1) + 6 =-4+6=2

f(0) = 4(0) +6=0+6= 6

f(2) = 4(2) +6 = 8+6=14

Answer:

1/4, 3/10, 7/20, 2/5

Step-by-step explanation:

1/4 = 25%

3/10 = 30%

7/20 = 35%

2/5 = 40%

The time taken for the population of the pig to reach 1000 will be almost four years.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Six guinea pigs are released in an area with no natural predators.

The guinea pig population quadruples every year.

Write a function P that represents the guinea pig population at a given time T measured in years.

Then the function will be

[tex]\rm P = 6 (4)^T[/tex]

Then the inverse function of P will be

[tex]\rm T = 6 (4)^P\\\\\\P \ln 4 = \ln \left (\dfrac{T}{6} \right )\\\\\\P = \dfrac{\ln (T/6)}{\ln 4}[/tex]

Then the time taken for the population of the pig to reach 1000 will be

[tex]\rm 1000 = 6 (4)^T\\\\\\166.667 = 4^T\\\\\\T = 3.69 \\\\\\T \approx 4 \ years[/tex]

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Answer:

Step-by-step explanation:

the number of combinations of 4 people we can form from 6 is :

[tex]C^{4}_{6}=\frac{6!}{4!\left( 6-4\right) !} = 15[/tex]

Hey there!

10 + 5 + 0 + (-5) + (-10) + (-15)

= 10 + 5 - 5 - 10 - 15

= 15 - 5 - 10 - 15

= 10 - 10 - 15

= 0 - 15

= -15

Therefore, the answer should be: -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]a_{20}[/tex] = 84

Step-by-step explanation:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + ( n - 1 )d

~~~~~~~~~~~~~

[tex]a_{5}[/tex] = [tex]a_{1}[/tex] + (5 - 1)d = 24

[tex]a_{9}[/tex] = [tex]a_{1}[/tex] + (9 - 1)d = 40

[tex]a_{1}[/tex] + 4d = 24 ........... (1)

[tex]a_{1}[/tex] + 8d = 40 ........... (2)

(2) - (1)

4d = 16 ⇒ d = 4

[tex]a_{1}[/tex] + 8(4) = 40 ⇒ [tex]a_{1}[/tex] = 8

[tex]a_{20}[/tex] = 8 + ( 20 - 1 ) × 4 = 84

Answer:

113.1

A = 2πrh + 2πr² = 2 × π × 3 × 3 + 2 × π × 3² ≈ 113.1

Answer:

28/171

Step-by-step explanation:

The probability initially of drawing a red would be 8/19 since there were 19 marbles in the bag in the beginning. However, without replacement, the probability of drawing another red would be 7/18 as there would be one less red and one less marble in the bag so to find the combined probability of getting 2 red marbles, multiply 8/19 by 7/18 to get: 56/342 = 28/171

Answer:

f-g=10x+3-(-7x-4)

=10x+3+7x+4

=17x+7

(f-g)(x)= 17x+7

Answer:

17x + 7

Step-by-step explanation:

Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)

Given:

f(x) = 10x + 3

g(x) = -7x - 4

Simplify:

(10x + 3) - (-7x - 4)

(10x + 3) - (-7x) + - (- 4)

10x + 3 + 7x + 4

17x + 7

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Answer:

because angle DCA is equal to angle CAB so side DC is parallel to side AB=> DCAB is a parallelogram=> 20x-7=15x+3=>x=2

Answer:

x = 7.3

Step-by-step explanation:

area = base × height / 2

21.9 = 6 × x / 2

43.8 = 6x

x = 7.3

Answer:

7.3

Step-by-step explanation:

The formula to find the area of a triangle is (1/2)(a)h = A.

Replace the variable h (height) with x.

Isolate the x variable (height) in order to find the height value.

(1/2)(6)x = 21.9

3x = 21.9

x = 21.9/3

x = 7.3

Answer:

23

Add positive 14 and 9 to get 23

14 + 9 = 23

-14 + 23 = 9

The experimental probability that the next time the spinner is spun, it lands on yellow is 4/15

From the table of values, we have:

Yellow = 8

Total = 30

The experimental probability is then calculated using:

P(Yellow) = Yellow/Total

This gives

P(Yellow) = 8/30

Simplify

P(Yellow) = 4/15

Hence, the experimental probability is 4/15

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Answer:

6 tables

Step-by-step explanation:

54 chairs divided by 9 chairs = 6 tables have 9 chairs :)

Answer:

Step-by-step explanation:

Given:

To find:

Solution:

⇒ 1 : Based on the given conditions, formulate

⇒ 54 ÷ 9

⇒ 2 : Calculate

54

----

9

= 6.75

Round down in this case, so

⇒ Answer: 6.

Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solution

Equations with no solutions has two of its sides to be equal.

From the given option, we can check he equation

5(x + 4) - x = 4(x+5) - 1

Expand

5x + 20 - x = 4x + 20 -1

4x +20 = 4x + 19
4x - 4x = -1

Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) -  1 has no solution

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Answer:

4

Step-by-step explanation:

2x+ 4y -2x-2-4y+6

2x-2x+4y-4y-2+6

0+0+4