please help asp please

The total distance will Sara run in a 12-week training session is 1230 .

An arithmetic progression is a sequence of numbers or variables in which the difference between consecutive terms is the same. There can be an infinite number of terms in an AP.

The formula for finding the sum of first n terms of an AP given in the form of "a, a + d, a+2d, a+3d, ....., a+(n-1)d" is:

[tex]S _{n}[/tex]= [tex]\frac{n}{2}[/tex] [tex][2a + (n-1)d][/tex]

According to the question

Samantha is training to run a marathon.

She runs for five days each week

The first week she runs 4 km each day.  = 5 × 4 = 20

The second week, she runs 7 km each day. = 5 × 7 = 35

During each successive week , each day she runs 3 km farther than she ran the days of the previous week.

The third week, she runs 10 km each day. = 5 ×10 = 50

So on

Sara run in a 12-week training session

As this sequence is in AP  

First term (a) = 20

common difference (d) = 35 - 20

                                      = 15

Now,

Sum of 12 terms in AP

[tex]S _{n}[/tex]= [tex]\frac{n}{2}[/tex] × [2a + (n-1)d]

Substituting the values, a = 20, d = 15 and n = 12 in the above formula

[tex]S _{12}[/tex] = [tex]\frac{12}{2}[/tex] × [tex][2(20) + (12-1)15][/tex]

[tex]S _{12}[/tex] = [tex]6 [40 + (11)15}[/tex]

[tex]S _{12}[/tex] = [tex]6 [205][/tex]

[tex]S _{12}[/tex] = [tex]1,230[/tex]

Hence, the total distance will Sara run in a 12-week training session is 1230 .

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Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top.

Here, Given data are:

Height of cone for Brand A = 15 in.

Radius of cone of Brand A =6 in.

Volume of Cone of brand A = [tex]\frac{1}{3}\pi r^2h[/tex]

               V =[tex]\frac{1}{3}X 3.14X6^2X15[/tex]

               V = 565.2 cu. in.

Height of cone for Brand B = 18 in.

Radius of cone of Brand B =5 in.

Volume of Cone of brand A = [tex]\frac{1}{3}\pi r^2h[/tex]

               V =[tex]\frac{1}{3}X 3.14X5^2X18[/tex]

               V = 471 cu. in.

Volume of brand A > volume of brand B.

Thus, Brand A hat is more preferable with largest volume i.e. 565.2 cu. inches.

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Answer:

I think it's 5(9)+20

Step-by-step explanation:

5(9+4) can be expanded to get 5(9)+5(4). And 5(4)=20

Answer:

The answer is D

Step-by-step explanation:

Step-by-step explanation:

the answer is on foto

y = 9

Answer:

18 months

Step-by-step explanation:

12 + 6 months

Answer:

Help verify values

Step-by-step explanation:

I basically help prove that the value fits and verifies that equation or inequality. By substituting a value for the variable within the equation or inequality and then solving it as a regular expression it should correctly output the same value on the other side of the equation or make the inequality true. For example, using the following inequality...

3x + 2 > 4

We can substitute the variable x for 2 and solve the inequality, if the inequality is true then we know that the value 2 is a correct and verified value.

(3*2) + 2 > 4

6 + 2 > 4

8 > 4  ... True

Answer:  6000ft2

Step-by-step explanation: Multiply 15*20*20 to find the area of a figure.

Answer:

426.9

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

16x-80+18=4x+22

16x-62=4x+22

12x-62=22

12x=84

x=7

Answer:

1.6 meters

Step-by-step explanation:

The distance between Shane and the bottom of the cliff is 7.8 meter while Naomi is standing 6.2 meters away from the bottom of the cliff.

As such, the distance between Shane and Naomi would be the difference between Shane's distance from the bottom of the cliff and Naomi's distance from the bottom of the cliff

= 7.8 - 6.2

= 1.6 meters

This is already in the nearest tenth

Answer:

I hope you get the answer im tryna find mines

Step-by-step explanation:

Answer:

a. the sign is interchange

it should be = x^2 - 3x + 4 - x^3 - 7x + 2

Answer:

see explanation

Step-by-step explanation:

(a)

The student has distributed the second parenthesis by 1 instead of - 1

(b)

Given

(x² - 3x + 4) - (x³ + 7x - 2)

distribute the first parenthesis by 1 and the second by - 1, that is

= x² - 3x + 4 - x³ - 7x + 2 ← collect like terms

= - x³ + x² - 10x + 6

Answer:

Step-by-step explanation:

VW<WX<VX

25°<65°<90°

Answer:

Step-by-step explanation:

1. ok so you need to use Pythagoras which is a^2 + b^2 = c^2

substituting 16 and 12 into 'a' and 'b' you get 16^2 + 12^2 = c^2

256 + 144 = c^2

400 = c^2 (square root each side to get ride of the square)

c = 20cm

2. doing the same thing you get c = 22.36 in

3. again doing it you get c = 15Ft

 Hope this helps!

Answer:

840

Step-by-step explanation:

If 40% of the total quantity is 420, then to find 80%, just double the number.

420*2=840

Answer:

-1 /2

Step-by-step explanation:

Answer:

is it congruent !!!!!!!

Answer: 18 oatmeal cookies.

Step-by-step explanation:

Simplify divide 24 by 3/4 to find how many oatmeal cookies Lucas made.

24 x 3 = 72/4 = 18

Answer:

im sorry i really need some point for this exam

Step-by-step explanation:

Answer:

$11,000

Step-by-step explanation:

1st year the account earned 20% from $25,000 = $5,000 | total = $30,000

2nd year the account earned 20% from $30,000 = $6,000

by adding the earnings of 2 years, she will be able to spend $5,000 + $6,000 = $11,000

Answer:

chicken nuggies

Step-by-step explanation:

Answer:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Hope this helps; have a great day!

Answer: $1.80

Step-by-step explanation:

600 grams - .6 kg

.6x+1.5y=4.62

y=x-1.4

.6x+1.5(x-1.4)=4.62

.6x+1.5x-2.1=4.62

2.1x=6.72

x=3.2 ( 1 KG of candy)

y=3.2-1.4

1.8=y (1 KG of cookies)

Answer:

144 square inches

Step-by-step explanation:

Total surface area of the rectangular prism =  Sum of all the area of its sides

Since it has a square base which can be covered by 16 squares of length 1 inch each, then;

length of its base = 4 inches

So that,

i. Area of its base = [tex]length^{2}[/tex]

                          = [tex]4^{2}[/tex]

area of its base = 16 square inches

ii. Area of one of the surfaces of its sides = length x width (or base x height)

                                       = 4 x 7

                                       = 28 square inches

Sum of the area of its vertical sides = 4 x 28

                                        = 112 square inches

Thus,

Total surface area of the prism = 16 + 16 + 112

                                          = 144 square inches

Answer:

for #9:

tan 30=x/10

tan 30*10=x

x=5.77=5.8

for #10:

tan 40=4/x

x*tan 40=4

x=4/tan 40

x=4.76=4.8

Step-by-step explanation:

hope all that helped lol

Answer:

7=(-9+y)÷x

Step-by-step explanation: