Feng is starting a running plan to train for a race. In the first week of his running plan, Feng will run 15 miles. The plan calls for Feng to increase his weekly milage by 1.5 miles every week. If Feng sticks to the plan, how many miles would he be expected to run during his 15th week of the training plan?

Answer:

50.24

Step-by-step explanation:

8 is the radius of the circle, so using A=πr^2, the equation would be A=(3.14*8^2)/4

(Dividing by 4 because we are solving for 1/4 of a circle, and substituting pi for 3.14)

(3.14*8^2)=200.96

200.96/4=50.24

Answer:

i believe the third one so this  37 < r ≥ 42 Step-by-step explanation:

Answer:

  (a)  r < 37 or r ≥ 42

Step-by-step explanation:

Translating the given relations to math symbols, we have ...

  "less than 37 minutes"  ⇒  r < 37

  "no less than 42 minutes"  ⇒  r ≥ 42

__

Written as a single statement, this is ...

  r < 37 or r ≥ 42

_____

Additional comment

The solution regions are disjoint, so an "or" statement must be used. The form ...

  37 > r ≥ 42

cannot be used, because it is false that 37 > 42.

Answer:

42 cm²

Explanation:

cut into 2 rectangles

area of rectangle: Length * Width

Answer:

Step-by-step explanation:

 Linear pair: When the uncommon arms of two adjacent angles form a straight line, the adjacent angles are called linear pair and they add upto 180

3)  ∠3 + ∠2 = 180

     65 + ∠2 = 180

             ∠2 = 180 - 65

When parallel lines   are intersected by  transversal, alternate exterior angles are congruent.

a // b and d is transversal.

  ∠5 = ∠11

 ∠5 = 100°

When  parallel lines are intersected by transversal, the alternate interior angles are congruent.

a // b and c is transversal

m∠13 = ∠3

  ∠13 = 65°

4)    ∠3 &  ∠14 are co-interior angles. Co-interior angles are supplementary.

∠3 +  ∠14 = 180

65 +  ∠14  = 180

           ∠14 = 180 - 65

           ∠14 = 115°  

∠5 +  ∠8 = 180    {Linear pair}

 100 +  ∠8 = 180

             ∠8 = 180 - 100

             ∠8= 80

∠9 =  ∠11 {vertically opposite angles are congruent}

∠9 = 100

∠ 3 + ∠14 + ∠ 8 + ∠9 = 65 + 115 + 80 + 100

                                   = 360°

Answer:

[tex]154.05[/tex]

Goodluck

Answer:

13.33 miles

Step-by-step explanation:

let the miles per gallon = X

from the question,

200miles--------------15gallons

X miles-------------------1 gallon

cross multiplying

X×15 = 200×1

dividing bothsides by 15

X= 200/15

X= 13.33 miles.

Answer: C option

Step-by-step explanation:

Since the drawing is 5x more than real object then we have to divide the numbers

a= 35/5 = 7

b= 30/5 = 6

c= 15/3 = 3

Answer:

82 nails

Step-by-step explanation:

4.97 and 5.03   are both one standard deviation from the mean...

z scores    . 8413    and  .1587

.8413 - .1587 = .6826    or    68.26 %  of the nails are in this range

68.26 %  *  120 = ~82 nails

Answer:

x = 45

Step-by-step explanation:

Solve the entire figure first

First right triangle:

A = 36

B = 48

C = _

Using Pythagoras theorem to find the hypotenuse

a² + b² = c²

Plug in:

36² + 48² = 84²

1,296 + 2,304 = 3,600

Find the square root of √3600

⇒ √3600 = √( 2 × 2) × (2 × 2) × (3 × 3) × (5 × 5)

⇒ = 2 × 2 × 3 × 5

⇒ 60

The hypotenuse of the bottom right triangle is 60.

Now that we have the given value of the missing line separating both right triangles.

A = 60

C (hypotenuse) = 75

To find the missing side,

use this formula:
c² - a² = b²   ---> hypotenuse minus the given side value

Plug in:

75² - 60² = 2,025

Find the square root:

⇒ √2025 = √ ( 3 × 3 ) × ( 3 × 3 ) × ( 5 × 5 )

⇒ 3 × 3 × 5

⇒ 45

Therefore, the missing x value on the second right triangle is 45.

Answer:

the answer is a and I hope this helps you.

Hey there!

3% of 4.14 * 10

≈ 3% * 4.14 * 10

≈ 3/100 * 4.14 * 10

≈ 0.03 * 4.14 * 10

≈ 0.1242 * 10

≈ 1.242

Therefore, the answer should be:

Option A. 1.242

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

-32 , 64

Step-by-step explanation:

This is a geometric sequaence and each term is obtatained by multiplying the previous number with the common ratio 'r'

          [tex]\sf \boxed{r = \dfrac{second \ term }{first \ term}}[/tex]

[tex]\sf r =\dfrac{4}{(-2)}[/tex]

r = -2

The next two terms ,

   Fifth term = 16 *(-2) = -32

  Sixth term  = (-32) * (-2) = 64

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

           What are the next two terms of the following sequence?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

The next two terms are -32 and 64.

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

                First of all, let's identify what kind of sequence this is.

The two main types of sequences are:

In the given sequence, we use multiplication, so we're dealing with a [tex]\textit{geometric sequence}[/tex].

In order to get to the next term, we multiply by -2.

So in order to find the next two terms of the sequence, we take the previous term and multiply it by -2 as follows:

16•(-2)=-32

We've found the 5th term of the geometic sequence.

Now let's find the 6th:

-32•(-2)=64 (the product of a negative and a negative results in a positive)

The next two terms in the sequence are -32 and 64.

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

Answer:

155-50=105

Step-by-step explanation:

hopefully  its right because you have to take the maximum and subtracted from the minimum

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] can be done in the following manner,

[tex]\dfrac{x+4}{x^2+3x-10} - \dfrac{x-1}{x^2+2x-8}\\\\\\= \dfrac{x+4}{(x-2)(x+5)} - \dfrac{x-1}{(x+4)(x-2)}\\\\\\= \dfrac{(x+4)(x+4)- (x-1)(x+5)}{(x+4)(x-2)(x+5)} \\\\\\= \dfrac{x^2+16+8x-x^2-5x+x+5}{x^3+7x^2+2x-40}\\\\\\=\dfrac{4x+21}{x^3+7x^2+2x-40}[/tex]

Hence, the simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).

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The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.

For the Jumping Jackrabbits and the Leaping Lizards, the mean and the MAD are given as follows:

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

The mean absolute deviation for the Jumping Jackrabbits was of 3.8, which was lower than the 6.8 for the Leaping Lizards, hence they had more consistent scores.

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The first step is to Prepare. Heidi wants to make a 30 pounds of molasses solution. She mixes and solution together. How much mixture does she make?

Answer:

1/3

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

         = (3 -1)/ (3 - (-3))

         = 2/ 6

         = 1/3

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}}[/tex]

What is the slope of the line that

passes through these two points? (-3, 1) ,(3, 3)?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Use the slope formula:-

[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\bigstar[/tex] Replace the letters with numbers:-

[tex]\sf{\dfrac{3-1}{3-(-3)}}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\sf{\dfrac{2}{3+3}}[/tex]

[tex]\bigstar[/tex] On further simplification,

[tex]\sf{\dfrac{2}{6}}[/tex]

[tex]\bigstar[/tex] Which results in

[tex]\boxed{\mathrm{Slope=\frac{1}{3}}}[/tex]

[tex]\rule{300}{1}[/tex]

Answer:

Increasing, because it's going from a negative number to a positive number

Step-by-step explanation:

Answer:

1 : 2 : 5

Step-by-step explanation:

20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )

= 1 : 2 : 5

Answer:

a = 12

Step-by-step explanation:

Pythagoras’ Theorem

a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

From inspection of the triangle:

Substituting these values into the formula and solving for b:

⇒ a² + 9² = 15²

⇒ a² + 81 = 225

Subtract 81 from both sides:

⇒ a² + 81 - 81 = 225 - 81

⇒ a² = 144

Square root both sides:

⇒ √(a²) = √(144)

⇒ a = 12

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the value of a using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a {}^{2} = {15}^{2} - {9}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a= \sqrt{225-81} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a= \sqrt{144} [/tex]

[tex]\qquad \sf  \dashrightarrow \: a= 12\: units[/tex]

Answer:

Use Law of Cosines

Step-by-step explanation:

1079²= 590² + 494²- (2)(590)(494) cos θ.

The amount of a sample remaining after t days is given by the equation p(1) - al2 is: 74 days.

Using this formula

P(t)=A×(1/2)^t/h

Let plug in the formula

0.6x=x ×(1/2)^t/h

0.6=(1/2)^t/100

Hence:

Log0.6=Log(1/2)^t/100

Log 0.6=t/100× log0.5

Log 0.6/Log0.5×100=t

-0.2218487/-0.30102999×100=t

0.736×100=t

t=73.6

t=74 days (Approximately)

The amount of a sample remaining after t days is: 74 days.

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Answer:

74 DAYS

Step-by-step explanation:

I DID IT ON EDGE

Answer:

[tex]csc54[/tex]°

Step-by-step explanation:

[tex]sec36[/tex]° = [tex]\frac{1}{cos36}[/tex]

and; [tex]\frac{1}{cos36} = \frac{1}{sin 90 -54}[/tex]  ... (co-functions)

and [tex]\frac{1}{sin90-54} = csc54[/tex]  .... (csc in the reciprocal of sin)

Answer:

See below for answers and explanations

Step-by-step explanation:

4! = 4*3*2*1 = 24

0! = 1

2! + 3! = 2*1 + 3*2*1 = 2 + 6 = 8

3! * 4! = 3*2*1 * 4*3*2*1 = 6 * 24 = 144

10! / 7! = 10*9*8*7*6*5*4*3*2*1 / 7*6*5*4*3*2*1 = 10*9*8 / 1 = 720

Answer:

24 cm²

when finding area, multiply base by height

[tex]4 * 6 = 24[/tex]

Answer:

A = 24 cm^2

Step-by-step explanation:

The formula for the area of a parallelogram is

A = bh where b is the base and h is the height

A = 6 * 4

A = 24 cm^2

Answer:

O 0.50

Step-by-step explanation:

when x = 0, the probability is 0

when x = 1, the probability is 0.1

when x = 2, the probability is 0.2

when x = 3, the probability is 0.125

when x = 4, the probability is 0.05

The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

To answer the question, we need to know what a regression model is

A regression model is an equation or model that shows if there is a relationship between two variables.

Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.

Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.

So, y = -2.8sin(0.65x + 120.2) + 12.2

y = -2.8sin(0.65(6) + 120.2) + 12.2

y = -2.8sin(3.9 + 120.2) + 12.2

y = -2.8sin(124.1) + 12.2

y = -2.8(0.8281) + 12.2

y = -2.32 + 12.2

y = 9.88

y ≅ 9.9

So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

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