Determine the next 3 terms after : 1 , -2 , 3 , -4 , 5

After translate the sentence into equation, the equation is,

⇒ 8b - 9 = 7

Where, b is any number.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The algebraic expression is,

⇒ Nine less than the product of 8 and a number is 7.

Now, Let a number = b

So, We can formulate the mathematical expression as;

⇒ 8 × b - 9 = 7

⇒ 8b - 9 = 7

Thus, The equation is,

⇒ 8b - 9 = 7

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Step-by-step explanation:

[tex] ({2}^{ - 1} )^{3} [/tex]

[tex] {2}^{ - 3} [/tex]

........

Answer:

2^-3

Step-by-step explanation:

When multiplying two exponents with the same base, we basically add the exponents.

A,C,D

(going top left to bottom right)

(a) b

(c) (d)

e f

Answer:

x=1 y=3

Step-by-step explanation

Answer: 125/27 as a decimal 4.62963

Step-by-step explanation:

((32)(5−2))−2(3(5−1))

((32)(5−2))−2(3(5−1))

Answer:

15l

Step-by-step explanation:

There are 5 8sq m in 40sq m

total paint is 5*3=15

Answer:

x=5, y=18

Step-by-step explanation:

y=2x+8

x= (y-8)/2

Substitute in second equation,

y= 4((y-8)/2) -2

y= 2(y-8)-2

y= 2y-16-2

16+2=2y-y

18=y

Replace y value in first equation to find x,

18= 2x+8

18-8=2x

10=2x

5=x

Answer:

21 Months

Step-by-step explanation:

If he already has $225, we can do 750 - 225 to get 525. $525 represents how much more money he needs to reach his goal of $750. So we can do 525 divided by 25, since that is how much he makes per month, giving us 21. 21 is how many months it will take until he gets to $750 without spending anything.

Answer:

x=6;y=9

Step-by-step explanation:

First you try to find y in the second equation --> y/12=3/4

You divide 12 by 4 to see how many times y/12's denominator and numerator is bigger. 12/4 is 3, so to find y you multiply 3*3. so 9/12=3/4. To check this, you multiply 3 on each side of the fraction -->

3*3=9  4*3=12.

Then, you can just put y into the first equation, which is x/y=2/3. Pluck that in, and you get x/9=2/3. Do the same thing you did in the first step, and you should get 6/9=2/3. Hope this helped :)

Answer:

x=6; y=9

Step-by-step explanation:

Answer:

80°, 40° and 60°

Step-by-step explanation:

Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)

so we will have an equation of

180°=2x + x + (20°+x)

160°=4x

40°=x

so the second angle is 40° as it is represented by just one X

therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!

Answer:

35

Step-by-step explanation:

because the straight line is 180 so if you add 35+55=90 and 90+90=180

Answer:

35°

Step-by-step explanation:

What I did was look at ∠ABC and know that collinear is a straight line, and that a straight line is equal to 180°. Then I saw that ∠ABD was a right angle or 90° and that ∠BCE was equal to 55°, so I added those 2 together and got 145°. then I subtracted that from the 180°. because that is what a straight line equals and I got 35°. So, I would say ∠DBE is equal to 35°.

Answer:

The range of a function is the set of outputs the function can give

The y-axis on the graph shows as the output of the function

From the graph, we can see that the outputs of this specific function range from 0 to 5

Therefore, the range of this function is:   [0 , 5]

Answer:

24

Step-by-step explanation:

13+11=24

The number 2 should be added to both sides of the given linear

equation to enable the variable x be made the subject of the equation.

Response:

The given equation is presented as follows;

[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]

The solution of the above equation van be found by making x the

subject of the equation.

Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]

, from which the value of x can be found by multiplying by 11.

First operation;

To remove the 2, we have;

[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]

[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]

[tex]\dfrac{x}{11} = 5[/tex]

Second operation;

[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]

x = 55

The first operation that needs to be needed to solve the given equation

is therefore;

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Answer: It would be addition

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Answer:

Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%

Step-by-step explanation:

Binomial Distribution

Consider a random experience that has only two possible outcomes: Success or Failure. Let's call p to the probability that the event has a successful outcome and q to the failure outcome.

It follows that p+q=1, or q=1-p.

Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the Binomial Distribution formula:

[tex]\displaystyle P_{x} = {n \choose x}\cdot p^{x}\cdot q^{n-x}[/tex]

Where :

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations, calcula ted as follows:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

A planted seed has a 70% chance of growing into a healthy plant. The successful outcome has p=0.7 and q=0.3.

The experience is repeated n=8 times. We want to calculate the probability of having 4 failures (not growing seeds) or x=4 successes.

Apply the formula:

[tex]\displaystyle P_{4} = {8 \choose 4}\cdot 0.7^{4}\cdot 0.3^{8-4}[/tex]

[tex]\displaystyle P_{4} = 70\cdot 0.7^{4}\cdot 0.3^{4}[/tex]

[tex]\displaystyle P_{4} = 0.1361[/tex]

Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%

Answer:

Amount of cd after 3 years=2240

Step-by-step explanation:

principal==$2000

simple interest=4%

interest /year =80

for 3 years =80 x 3 = 240

Answer:

Step-by-step explanation:

If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.

m COP  =  m TOD

Given

COP = 11x - 17

TOD = 9x + 11.

Substitute:

11x-17 = 9x+11

11x-9x = 11+17

2x = 28

x = 28/2

x = 14

Get <COD

<COP = 11(14)-17

<COP = 154-17

<COP = 137

<COD = 180-<COP

<COD = 180-137

<COD = 43°

Similarly:

<POT = 180 - <TOD

<POT = 180 - [9(14)+11]

<POT = 180 - 137

<POT = 43°

Answer:

are you beginer band

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a fraction is basically saying the numbers are being divided so if you do -20 divided by 2 then you would get negative 10 since a negative divided by a positive would be a negative.

Answer:

500 $

Step-by-step explanation:

[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]

[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]

[tex]\frac{21}{50}x=210\\[/tex]

[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]

x=500

<3

Red

Answer:

14

Step-by-step explanation:

Answer:

Positive

Step-by-step explanation:

A negative divided by a negative can cancel out to make a positive. So, [tex]\frac{-4}{-5} = \frac{4}{5}[/tex].

I hope this helps!

Answer:

i believe its positive because 2 negatives make a positive

Answer:

1

Step-by-step explanation:

since 1*1 will always be 1, 1 raised to any power will be 1.

Answers:

If x is a probability value, then [tex]0 \le x \le 1[/tex]

A probability of 0 means "impossible" while a probability of 1 means "100% certain".

Answer:

3k

Step-by-step explanation: