if the nth term of a sequence is 3n + 1 what is the 8th term​

Answer:

7, 12, 17, 21, 26, 31

Step-by-step explanation:

The first term in the sequence is 7 we know this cause the first equation (a1 = 7) is telling us what the first term is. To find the next term we use the second equation (an = an - 1 + 6) we us the first term subtract 1 and then add 6 ( 7 - 1 = 6, 6 + 6 = 12) the second terms is 12. To find the rest of the terms we continue using the second equation but instead of with 7 this time we use 12 then the next time 17 then 21 then 26 so on and so forth.

Answer:

It's 7,13,19,25,31,37

Step-by-step explanation:

Trust me

Answer:

47.5% of students fall within heights of 100 cm to 120 cm

Step-by-step explanation:

We are given that heights of Grade 1 students are normally distributed

Mean = [tex]\mu = 100 cm[/tex]

Standard deviation = [tex]\sigma = 10 cm[/tex]

a)

Empirical rule

68% of data lies within the first standard deviation from the mean i.e[tex].(\mu-\sigma , \mu+\sigma)=(100-10,100+10)=(90,110)[/tex]

95% of all the data will fall within two standard deviations  i.e.[tex](\mu-2\sigma , \mu+2\sigma)=(100-2(10),100+2(10))=(80,120)[/tex]

99.7% of data lies within the three standard deviations i.e.[tex]( \mu - 3 \sigma , \mu +3 \sigma)=(100-3(10),100+3(10))=(70,130)[/tex]

b)Percentage of students fall within heights of 100 cm to 120 cm

Using the normal distribution curve

Percentage of students fall within heights of 100 cm to 120 cm = [tex]\frac{1}{2} \times 95\% = 47.5\%[/tex]

Hence 47.5% of students fall within heights of 100 cm to 120 cm

Answer: The answer is standard.

Step-by-step explanation: The equation for standard is ax+by+c.

Answer:

Standard Form

Step-by-step explanation:

Standard form:

ax+by=c

hope this helped and pls brainliest!

Answer:

We can use the trigonmetry to solve for this. So first, we need to get that cos(69) = x/16. So then we multiply by 16 and get 16cos(69). Therefore if we use that as an answer approx it gives 5.734.

Answer: B

Step-by-step explanation:

The congruency statement would be correct as ABCD ≅ ZYXW because the new triangle will be congruent to the original triangle when a triangle is translated.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given that Quadrilateral, ABCD is translated up and to the right and then rotated about point Q.

The following are the related points from the entire question:

Point A and point Z

Point B and point Y

Point C and point X

Point D and point W

This represents that:

Points A and Z are corresponding

Points B and Y are corresponding

Points C and X are corresponding

Points D and W are corresponding

Hence, the congruency statement would be correct as ABCD ≅ ZYXW because the new triangle will be congruent to the original triangle when a triangle is translated.

Learn more about the congruent triangles here:

brainly.com/question/4364353

#SPJ6

The question seems to be incomplete the correct question would be

Quadrilateral ABCD is translated up and to the right, and then

rotated about point Q. Which congruency statement is

correct?

ABCD = WXYZ

ABCD = ZYXW

ABCD WZYX

ABCD = ZWXY

Answer:

11610

Step-by-step explanation:

First you do the top rectangle which the area for that is 144 which is 4 times 4 times 3 times 3.

Then you do the middle rectangle which the area is 441 which is 7 times 7 times 3 times 3.

Then you do the last rectangle which the area is 11025 which is 15 times 15 times 7 times 7.

Then lastly you add all three areas which is 144+441+11025=11610. So therefore, the answer is 11610.

Answer:

Point c

Step-by-step explanation:

Answer:

The answer is Point C

Step-by-step explanation:

Answer:

v^2 + 14v + 49

Step-by-step explanation:

v^2 + 14v

Take the coefficent of v

14

Divide by 2

14/2 = 7

Square it

7^2 = 49

This is the number you add to make a perfect square

Step-by-step explanation:

if y was 0 then

0 - 2 = 2(x+2)

-2=2x+4

-6=2x

-3

if y was 1 then

1 - 2 = 2(x+2)

-1=2x+4

-5=2x

-2.5

now if y was 2 then

2 - 2 = 2(x+2)

0 = 2x + 4

-4=2x

-2

Answer:

x = 2

Step-by-step explanation:

h(x) = f(x) + g(x) = x³ + 2x² + 1 - x³ - x² - 4x + 4 ← collect like terms, thus

h(x) = f(x) + g(x) = x² - 4x + 5

Given

h(x) = 1, then

x² - 4x + 5 = 1 ( subtract 1 from both sides )

x² - 4x + 4 = 0 ← in standard form

(x - 2)² = 0 ← in factored form ( perfect square ), thus

x - 2 = 0 ⇒ x = 2

Answer:

[tex]\sqrt[/tex]y+5x=k

Step-by-step explanation:

y=x^2-6x+k

y+6x=x^2+k

[tex]\sqrt[/tex]y+6x=x+k

[tex]\sqrt[/tex]y+5x=k

Answer:

1. 4 days

2. $1.2

3. 1 and 3 gallons

4. 15 and 10

16. 1.2 mi/h

-- Please refer to graph

-- Please refer to graph

Step-by-step explanation:

Solution 1.

Alex has $40, and Ellen has $24. Alex is saving $6 per day, and Ellen is saving $10 day.

Let x be the number of days in which they both have same money:

As per given statement:

[tex]40 + 6x=24+10x\\\Rightarrow 4x = 16\\\Rightarrow x =4[/tex]

In 4 days, they will have same money.

Solution 2:

Kendra owns a restaurant. She charges $6.00 for two eggs and one piece of toast and $3.60 for one egg and one piece of toast.

Let x be the price of one egg.

Let y be the price of one toast.

As per given statement:

[tex]2x+y=6 ...... (1)\\x+y= 3.6 ...... (2)[/tex]

Subtracting (2) from (1):

[tex]\Rightarrow x = \$2.4[/tex]

Price of toast = 3.6 - 2.4 = $1.2

Solution 3:

A restaurant has one type of lemonade that is 30% sugar and another that is 10% sugar. Resultant mixture 4 gallons of 15% sugar.

Let x be the amount of lemonade with 30% sugar.

Amount of another lemonade with 10% sugar = (4-x)

As per question statement:

[tex]x \times 30\% + (4-x) \times 10\% = 4 \times 15\%\\\Rightarrow x \times 30 + (4-x) \times 10 = 4 \times 15\\\Rightarrow 20x = 20\\\Rightarrow x = 1[/tex]

Lemonade with 30% sugar required is 1 gallon.

Lemonade with 10% sugar required is 3 gallons.

Solution 4:

A scientist has a container of 2% acid solution and a container of 5% acid solution. Resultant mixture is 25 fl oz of 3.2%.

Let x be the amount of 2% acid solution.

Amount of another lemonade with 5% acid solution = (25-x)

As per given question statement:

[tex]2\%\ of\ x + 5\% \ of\ (25-x) = 3.2\%\ of\ 25\\\Rightarrow 2x + 5(25-x)=3.2 \times 25\\\Rightarrow -3x = -1.8 \times 25\\\Rightarrow x = 15[/tex]

2% acid solution required is 15 fl oz.

5% acid solution required is 10 fl oz.

Solution 16:

Let v be the speed of river current.

Let u be the speed of kayaker.

As per question:

The speed of a kayaker is 5.75 mi/h paddling with the river current and 3.25 mi/h paddling against it.

[tex]u +v=5.75......(1)\\u-v = 3.25.....(2)[/tex]

Equation (1) - (2):

[tex]2v = 2.5\\\Rightarrow v = 1.25\ mi/h[/tex]

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

Susan make $12 per hour babysitting and $24 per hour as a lifeguard. Her goal is to make at least $420.

Let x be the number of hours for babysitting.

Let y be the number of hours as lifeguard.

As per given statement:

[tex]12x+24y > 240[/tex]

Please refer to graph attached with file name: Inequality

Three possible solutions:  (20,20), (21,21) and (22,22)

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

25. Joe wants to fence a rectangular pen for his goats. The length of the pen should be at least 40 ft, and the distance around should be no more than 150 ft

Let x be length

and y be width.

As per statement:

x > 40

And perimeter should be less than equal to 240.

2(x+y) [tex]\leq[/tex] 240

Please refer to attached graph with name: "2EquationInq"

Possible dimensions of pen can be (50,20).

Answer:

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

The slope is given by the coefficient of x (= 3/4) .

If the slope changes to -3/4 the line will slope in the opposite direction.

If the slope is 3/4(positive)  it rises to the right and if it is -3/4 it will rise to the left, but will rise at the same rate.

The 2 lines will cross each other  when 3/4x - 7 = -3/4x - 7:

3/4x - 7 = -3/4x - 7

6/4 x = 0

x = 0

So they will cross at the point (0, -7).

Answer:

3) 9/16

Step-by-step explanation:

1/2*3/4*3/2=

3/8*3/2=

9/16

Hope this helped and brainliest plss

Answer:

0.6 miles

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

so we aren't give the angle across from 70, but we are given the degree on the outside, so if we take that and subtract it from 180 we will get the degree inside the triangle which is 70. (this also appears to be an isosceles triangle so it would be 70 anyway, but we can do this just to make sure.) Then, since all of the angles in the triangle add up to 180, we can subtract 140 (both 70 degrees) from it and we are left with 40. Divide 40 by 2 and you will get 20 which is the measure for angle x! Hope this helps

Answer:

Step-by-step explanation:

I belive it is a .

Answer:

Step-by-step explanation:

(200+30+5)(40+9)

40*200 = 8000

40*30=   1200

40*5=200

9*200= 1800

9*30=270

9*5=45

8000+1200+200+1800+270+45 =11515

The multiplication of 235 and 49 is 11515 and partial products are 8000, 1800, 1200, 270, 200, and 45.

Given that,

Multiply the numbers 235 by 49.

We have to find,

What will the partial products?

According to the question,

To determine the partial products of the given numbers following all the steps given below.

Multiplication of the numbers; 235 by 49,

           [tex]= 235 \times 49\\\\= (200+35+5) \times (40+9)\\\\[/tex]

           [tex]= (200+35+5) \times (40+9)\\\\= 200(40+9) + 35(40+9) + 5 (40+ 9)[/tex]

           [tex]= 200(40+9) + 30(40+9) + 5 (40+ 9)\\\\ = 200 \times 40 + 200 \times 9 + 30 \times 40 +30 \times 9 + 5 \times 40 + 9 \times 5\\\\= 8000 + 1800 + 1200+ 270+ 200 + 45 \\\\= 11515[/tex]

Hence, The multiplication of 235 and 49 is 11515 and partial products are 8000, 1800, 1200, 270, 200, and 45.

To know more about Partial products click the link given below.

https://brainly.com/question/16505829

Answer:

D

Step-by-step explanation:

Answer:

the absolute value of the number

Step-by-step explanation:

for example if the absolute value of 3 is 3 because the distance of 3 from zero on the number line is 3 places to the right.

Answer:

Hope it helps

Good luck on your assignment

Answer:

The base of the rhombus is equal to 9 centimeters.

Step-by-step explanation:

To calculate the base of the rhombus, we will follow the steps below;

write the formula for calculating the area of a rhombus

area of a rhombus = b × h

where h is the height of the rhombus and b is the base of the rhombus

From the question given,  area of the rhombus = 72 square centimeters   and height of the rhombus is 8 centimeters.

we can now proceed to insert the values into the formula and then solve for b

area of a rhombus = b × h

                72          = b × 8

Divide both-side of the equation by 8

[tex]\frac{72}{8}[/tex]  =  b × 8 /8

[tex]\frac{72}{8}[/tex]   =   b

9 = b

b = 9 centimeters

The base of the rhombus is equal to 9 centimeters.

Answer:

The area of the square is 9 cm squared

Step-by-step explanation:

I know this because the formula for a square is s squared in which s represents sides so if i substitude the known value in i would get the answer of 9 cm squared.

Solution,

Length=3m

Area of square=(l)^2

=(3)^2

=3*3

=9m^2

hope it helps

Good luck on your assignment

Answer: 131

Step-by-step explanation:

218 - 87 = 131

Answer:

C. 131°

Step-by-step explanation:

mZBOC - mZAOB = ZBOC

218 - 87 = 131

a-5

b-1

c-4

d-6

e-2

f-3

g-7

Answer:

The second one.

Answer:

B

Step-by-step explanation:

B is the correct answer as the blocks are arranged in the same manner as B

So the right answer is 18

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

11x

Step-by-step explanation:

1). Rewrite the problem:

2x (+9)

2. Multiply

9 x 2 = 18

3). answer: 18

hope this helped!

Answer:

[tex]1.6744809109 *10^{75}[/tex] Earths

Step-by-step explanation:

To find how many Earths are needed, take 1 googol divided by Earth's mass

[tex]\frac{\left1\times10^{100}\right}{5.972\times10^{24}}[/tex]       Divide

[tex]1.6744809109 *10^{75}[/tex] Earths are needed to have a total mass of 1 googol kilograms.

Answer:

a = -10

b = -5

c = -1008

d =-1000

Step-by-step explanation:

a = -30/3

b = 45/-9

c = -84x12

d = -88000/88

Answer: A = -10. B = 54. C = -1008. D = -1000

Step-by-step explanation:

a * 3= - 30  You must divide 3 on both sides in order to get the a alone.

a * 3/3= - 30/3   And once you divide 3 from both sides you end up with

a= -10  And a equals negative 10

-9 * b = 45  You have to add 9 to both sides to get b alone.

-9 +9 *b= 45 +9 And you end up with with

b= 54   b equals 54

-84 * 12= c  Since the c is already alone all you have to do is solve the problem

-84 time 12 eqauls -1008, its a negative because it has a negative in the equation

-1008= c

d *88 = -88,000  You have to divide 88 from both sides to get the d alone.

d * 88/88 = -88,000/88. And you end up with

D = -1000  d equals negative 1000

Answer:

0 8 + 3

hope this is right if not im so sorry