Help please!!! Thanksss

Answer:

a) [tex]a_n=3\,n-11[/tex]

b) [tex]a_{20}=49[/tex]

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

[tex]a_n=a_1+(n-1)\,d[/tex]

That in our case would give:

[tex]a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11[/tex]

b)

Therefore, the term number 20 can be calculated from it:

[tex]a_{20}=3\,(20)-11=60-11=49[/tex]

c) in order to find which term renders 20, we use the general form we found in step a):

[tex]a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17[/tex]

so term number 17 is the one that renders a value of 40

Answer:

-6x

Step-by-step explanation:

you can combine numbers with the same coefficient like any other number

Answer:

-6x

Step-by-step explanation:

It would be doing the same thing as -9 + 3, but without a variable.  

Answer:

see explanation

Step-by-step explanation:

(1)

0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

(2)

3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]

Answer:

C. 3

Step-by-step explanation:

Brock weighs 134 pounds, he will lose 3 pounds a day until he is 126 pounds

D will represent the number of days he will work out.

134 - 3d < 126

134 - 3(3) < 126

134 - 9 = 125

125 < 126

3 days

We can say that Brock needs to workout for minimum 3 days to compete at feather weight level.

Answer:

x = [ -b +- sqr root (b^2 - 4ac)] / 2a

a = 1

b = -5

c = -2

x = [- - 5 +- sqr root (-5^2 -4 * 1 * -2)] / 2 * 1

x = [5 +- sqr root (25 + 8)] / 2

x1 =  5.3723

x2 =-0.37228

Step-by-step explanation:

Exact solution for the give quadratic equation are

[tex]x=\frac{5+\sqrt{33}}{2},\:x=\frac{5-\sqrt{33}}{2}[/tex]

Quadratic equation of the form [tex]ax^2+bx+c=0[/tex]

For any quadratic equation we get two values for x. we can find the values for x by applying quadratic formula .

Quadratic formula

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Given equation is [tex]x^2-5x-2=0[/tex]

The value of a=1, b= -5  and c=-2

Substitute all the values in the formula.

To find out exact solutions , we need to simplify the final answer.

Exact solutions are without any decimals.

[tex]x=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-2\right)}}{2\cdot \:1}\\x=\frac{-\left(-5\right)\pm \sqrt{33}}{2\cdot \:1}\\x=\frac{-\left(-5\right)\p+ \sqrt{33}}{2\cdot \:1}\\\\x=\frac{5+\sqrt{33}}{2}\\\\x=\frac{-\left(-5\right)- \sqrt{33}}{2\cdot \:1}\\\\x=\frac{5-\sqrt{33}}{2}\\[/tex]

Exact solutions are

[tex]x=\frac{5+\sqrt{33}}{2},\:x=\frac{5-\sqrt{33}}{2}[/tex]

Learn more information about 'Quadratic formula ' here

brainly.com/question/8649555

Answer:

m∠CDE = 60°

Step-by-step explanation:

Given that the arc at the center = 2 times the arc at the circumference, we have;

Angle at the center = arc CE = 120°

Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE

We note that m∠CDE is the acute angle between chord DC and DE

Therefore, we have;

Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE

120° = 2 × m∠CDE

m∠CDE = 120/2 = 60°

Therefore the angle of m∠CDE is equal to 60°.

Answer:

x.

Step-by-step explanation:

you know that x is a function because for one x-value there is only one possible y-value

Answer: X

Step-by-step explanation:

x because it doesn't fail the vertical line test

Answer:

[tex]\sqrt[3]{88c^{2} }[/tex]

Step-by-step explanation:

If we have a term to a fractional power, that’s the same as finding the denominator root of the number - if the numerator of the fraction isn’t 1, then the term itself inside the root sign becomes the term to the numerator power.

So - since the denominator of this fraction is 3, we find the cube root of 88c. Since the numerator is 2, we square 88c.

[tex]\sqrt[3]{88c^{2} }[/tex].

Hope this helped! (By the way, this was my 100th answer!)

So if we think of a test tube, it looks sort of like a cylinder. This means that its cross-section would be a circle. To find out how many turns a piece of thread would make around the test tube, we need to find the circumference of the test tube, then divide the length of the string by the circumference.

Step 1) Find the circumference

C = pi x diameter

C = 3.14 x 3

C = 9.42

Step 2) Divide the length of the string by the circumference

90.42 / 9.42 = 9.5987

The string would make approximately 9.60 turns around the test tube.

Hope this helps!! :)

Answer:

-5

Step-by-step explanation:

2^2*(3-8)÷5-1

4*(-5)÷4

-20÷4

=-5

Answer:

-5

Step-by-step explanation:

Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5

Approximate what the value of [tex]7/15[/tex] is by using calculator.

[tex]7/15\approx0.47[/tex].

And now just multiply by 100 to get percentage.

[tex]100\cdot0.47=\boxed{47\%}[/tex].

Hope this helps.

Answer:

24%

Step-by-step explanation:

7\15 x 100

simplify and get=140\3

dived140\3=48\2

simplify 48\2=24%

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

i checked on edge

Answer:

4/25 = 0.16

Step-by-step explanation:

The shortest stick must be between 0 and 5/3.  The probability that it is longer than 1 is therefore:

(5/3 − 1) / (5/3 − 0)

(2/3) / (5/3)

2/5

So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.

Answer:

40

Step-by-step explanation:

We know there are 16 oz in a pound

We can use ratios

15             x

-----  = ----------

6 oz       16 oz

Using cross products

15 * 16 = 6x

240 = 6x

divide by 6

240/6 = 6x/6

40 =x

Answer: In zhi's equation, the 18 is the initial amount of tickets, and the 3g means 3 times the amount of games.  

Diegos equation is the same, but write in factorised form. The 3 multiplies with the 6 to create 18, and the 3 multiple with the g to create 3g

Answer:

6400

Step-by-step explanation:

Taxable amount=45000-13000=32000

tax=32000*20/100

=6400

Answer:

sqrt( A / pi ) =r

Step-by-step explanation:

Α= pi r^2

Divide each side by pi

A / pi = r^2

Take the square root of each side

sqrt( A / pi ) = sqrt(r^2)

sqrt( A / pi ) =r

Answer: A/2pi = r

all you have to do is single out the r to get the new equation

Answer:

Total possible outcomes = 6×6 = 36

a) P(5) = 1/9

b) P(11) = 1/18

c) P(two and six) = 1/36

Step-by-step explanation:

A black die and a white die are thrown at the same  time.

Each die has six sides so total possible outcomes are

Total possible outcomes = 6×6 = 36

The possible outcomes are given below:

(1, 1)  (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

a) Find the  probability of obtaining a total of 5

Number of ways to get a total of 5 = (1, 4) (2, 3) (3, 2) (4, 1)

Number of ways to get a total of 5 = 4

The probability is given by

P = Number of desired outcomes/total number of outcomes

P(5) = 4/36

P(5) = 1/9

b) Find the  probability of obtaining a total of 11

Number of ways to get a total of 11 = (5, 6) (6, 5)

Number of ways to get a total of 11 = 2

The probability is given by

P(11) = 2/36

P(11) = 1/18

c) a 'two' on the black die and a six' on the white die.

There is only one way to get a two on the black die.

Probability of obtaining a two on the black die = 1/6

There is only one way to get a six on the white die.

Probability of obtaining a six on the white die = 1/6

P(two and six) = 1/6×1/6

P(two and six) = 1/36

Answer:

B

Step-by-step explanation:

Answer:

3 degrees F

Step-by-step explanation:

if the temperature rose 1* for 7 hours, times 1 by 7. which is 7 and add to -10. which is -3. then, since the temperature rose by 2* for 3 hours, times 2 by 3 which is 6 and add to -3, which is 3.

i hope this helped?

Answer: 2

Step-by-step explanation:

Answer:

2...........

Step-by-step explanation:

1 + 1 = 2............

Answer:

The table D represents the function that will have the greatest y-values for very large values of x.

Step-by-step explanation:

The table A represents a linear function, for which each one unit increment in the "x" variable produces a three unit increment in the "y" variable. This means that the growth rate of this function is 3.

The table B also represents a linear function, for which each one unit increment in the x variable produces a 100 unit increment in the y variable. This means that the growth rate of this function is 100.

The table C also represents a linear function, for which each one unit increment in the x variable produces a 10 unit increment in the y variable. This means that the growth rate of this function is 10.

The table D on the other hand does not represent a linear function, since the growth rate is variable and increases for greater values of x. This means that as x grows larger, the growth rate of the function also grows larger, resulting in a much greater y value for very large x values if we compare it to a linear function, like the other options.

Answer:

D

Step-by-step explanation:

BIGBRAIN

Answer:

The answer is 15%.

Step-by-step explanation:

The probability that:

       80% x 90% = 72%

        80% x (1 - 90%) = 8%

        (1 - 80%) x 25% = 5%

        1 - (72% + 8% + 5%) = 15%

Answer: w= 52h

Step-by-step explanation:

Given: Maya is interning at a law firm over the summer and is paid by the hour.

Her hourly pay = $52

i.e. She is paid $52 per hour.

Let the wages she earns is denoted by 'w' and the number of hours is denoted by 'h'.

Now, (Total wages earned) = (hourly pay) x (Number of hours)

w = (52) (h)

⇒ w= 52h

Hence, the equation represents the proportional relationship between the wages she earns (w) and the number of hours (h): w= 52h

Answer:52h

Step-by-step explanation: tried got it right

Answer:

2<F(x)<5

Step-by-step explanation:

We can guess that it come between 2 and 5 given the pattern that we see in the table, but there’s no reason we can’t solve it to be sure.

F(x)=3 (Times the square root of 1.5-1)+2

3(square root of .5)+2

3(0.7)+2

2.12+2

4.12

So, yes, it is between 2 and 5

2<F(x)<5

Answer:

Step-by-step explanation:

eq. of line parallel to y=34x-9 is y=34 x+k

∵ it passes through (-8,-18)

∴-18=34×-8+k

k=-18+272

k=254

so reqd. eq. is y=34 x+272

Answer:

9/13

Step-by-step explanation:

rise = y₂ - y₁ = -1 - (-10) = -1 + 10 =   9

run = x₂ - x₁ =   9 - (-4)   =   9 +   4 = 13

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because this equation is just a normal greater than symbol, it has to be a dotted line.

This graph starts at -2 and goes up 1 and right 3(this cancels out C as an option)

Than you shade the region with the larger number vaules, since it is greater than.

Answer:

The parts are 24 and 16

Step-by-step explanation:

Let's call the two parts x and y. We can write the following system:

x + y = 40 -- Equation 1

1/4x = 3/8y -- Equation 2

2x = 3y -- Equation 3 (Multiply Equation 2 by 8 to get rid of denominators)

2x + 2y = 80 -- Equation 4 (Multiply Equation 1 by 2)

3y + 2y = 80 -- (Substitute 2x = 3y into Equation 4)

5y = 80 -- (3y + 2y = 5y)

y = 16 -- (Divide by 5)

x + 16 = 40 -- (Substitute y = 16 into Equation 1)

x = 24 -- (Subtract 16)