George and Paula are running around a circular track. George starts at the westernmost point of the track, and Paula starts at the easternmost point. The illustration below shows their starting positions and running directions. They start running toward each other at constant speeds. George runs at 9 feet per second. Paula takes 50 seconds to run a lap of the track. George and Paula pass each other after 14 seconds.
After running for 4 minutes, how far east of his starting point is George?

Answer:

The nearest whole is 122.99 repeated

Step-by-step explanation:

Answer:

[tex]P(selecting a red t-shirt)=1/2[/tex]

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW;

A laundry basket has 24 t-shirts in it. Four are Navy, 12 are red, and the rest is white. What is the probability of randomly selecting a red t-shirt

EXPLANATION

Total number of the t-shirt in the laundry basket = 24

Number of Navy t-shirt = 4

Number of red t- shirt = 12

The number of white t- shirt in the laundry basket can be calculated as follow;

Total number of t- shirt - (Number of Navy t-shirt + Number of red t- shirt)

Number of white t- shirt = 24 -(4+12)

Number of white t- shirt = 8

The probability of randomly selecting a red t-shirt = [tex]Number of red t- shirt/Total number of the t-shirt[/tex]

[tex]P(selecting a red t-shirt)=12/24[/tex]

[tex]P(selecting a red t-shirt)=1/2[/tex]

Answer:

The answer is "[tex]\bold{y=0.5 \cos 3 \theta}[/tex]"

Step-by-step explanation:

The choices were missing the question so the answer to this question can be defined as follows:

The answer is [tex]y= 0.5 \cos 3\theta[/tex] because:

[tex]\Rightarrow -1 \leq \cos 3 \theta \leq 1\\\\\Rightarrow -0.5 \leq \cos 3 \theta \leq 0.5\\[/tex]

So, the maximum value is = 0.5 and the minimum value is = -0.5 of [tex]\frac{2\pi}{3}[/tex].

Answer:

D. y= 0.5 cos 3 theta

Step-by-step explanation:

Answer:

isosceles triangle

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

Plug -2 in for x. The double-negative inside the parenthesis makes it positive, then do the exponent.

Answer:

-(-2)^3 = 2^3 = 8

Answer is C

Step-by-step explanation:

So we plug in the numbers. We have -2 as x. (-(-2)^3 would be our thing. Thats  because our x is the negative so the negative of -2 is 2.

2^3 = 8

therefore its 8

Answer:

x=-2,y=-4

Step-by-step explanation:

By dividing to lowest terms

5x – 5y = 10= x-y=2.......(1)

6x – 4y = 4=3x-2y=2........(2)

By elimination method

Multiply equation (1) by 3 so as to correspond with equation (2)

3(x-y)=3(2)

3x-3y=6..........(3)

Multiply equation (2) by 1 so as to correspond with equation (1)

1(3x-2y)=1(2)

3x-2y=2..........(4)

Then equation (3)-equation (4)

(3x-3y=6)

-

(3x-2y=2)

__________

-y=4

y=-4

Substitute y=-4 into equation(1)

x-(-4)=2

x+4=2

x=-2

Therefore x=-2,y=-4

Answer:

  8 mph

Step-by-step explanation:

The speed in each direction is the speed of the boat with the speed of the current appropriately added. If x is the speed of the current, the upstream speed is 13-x; the downstream speed is 13+x.

The ratio of times is inversely proportional to the ratio of speeds, so we ahve ...

  15/63 = 5/21 = (13-x)/(13+x)

  5(13 +x) = 21(13 -x) . . . . . . . cross multiply

  26x = 13(21 -5) = 13·16

  x = 13·16/26 = 16/2 = 8

The speed of the current is 8 miles per hour.

Answer:

90% probability that she has at least one marble of each color

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the marbles are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

What is the probability that she has at least one marble of each color?

Desired outcomes:

Two red(from a set of 2) and one yellow(from a set of 3)

Or

One red(from a set of 2) and two yellows(from a set of 3).

So

[tex]D = C_{2,2}*C_{3,1} + C_{2,1}*C_{3,2} = \frac{2!}{2!(2-2)!}*\frac{3!}{1!(3-1)!} + \frac{2!}{1!(2-1)!}*\frac{3!}{2!(3-2)!} = 3 + 6 = 9[/tex]

Total outcomes:

Three marbles, from a set of 3 + 2 = 5. So

[tex]T = C_{5,3} = \frac{5!}{3!(5-3)!} = 10[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{9}{10} = 0.9[/tex]

90% probability that she has at least one marble of each color

Answer:

The answer is C because DC = BA and DA = CB (given) and AC = CA (reflexive property).

Answer:

Option (A).

Step-by-step explanation:

We choose a point from table of f(x), that is (-2, -31)

1). If this point is reflected across x-axis, rule to be followed,

(x, y) → (x, -y)

That means y coordinate of the point gets changed with opposite notation.

If (-2, -31) is reflected over the x-axis,

(-2, -31) → (-2, 31) ----------(1)

2). When a point is reflected over the y-axis,

Rule to be followed,

(x, y) → (-x, y)

(-2, -31) → (2, -31) ----------(2)

3). When a point is reflected over the line y = x

Rule to be followed,

(x, y) → (y, x)

(-2, -31) → (-31, -2) -----------(3)

By comparing f(x) and g(x) we find the relation between the functions as,

f(-2, -31) → g(2, -31)

Rule between the functions f and g matches with the rule number (2).

Therefore, function 'f' has been reflected across y axis to get the function 'g'.

Option (A) will be the answer.

Answer:

a number that is divisible by 10 is also divisible by 5 because 5 is a factor of 10.

Step-by-step explanation:

Given : Statement  'The relationship between numbers divisible by 5 and 10'.

To find : What statement BEST explains the statement?

Solution :

First we study the divisibility rules,

Rule for the number divisible by 5 is that number must end in 5 or 0.

Rule for the number divisible by 10 is that number need to be even and divisible by 5, as the prime factors of 10 are 5 and 2 and the number to be divisible by 10, the last digit must be a 0.

According to the divisibility rules Option D is correct.

Therefore, The correct statement explains the relationship between numbers divisible by 5 and 10 is a number that is divisible by 10 is also divisible by 5 because 5 is a factor of 10.

Answer:

five dollars and forty cents

5.40$

Step-by-step explanation:

90+6%= 95.40

Answer:

676

Step-by-step explanation:

lxw

14x35

4x24

6x15

676

Answer:

40*d

Step-by-step explanation:

The word product means multiplication, and here it is multiplying 40 and the distance(d).

Answer:

40x5

Step-by-step explanation:

Answer:

The rate of trip 2 is 5 km/h

The time of trip 1 is 0.9-x

Step-by-step explanation:

The rate of trip 2 is 5 km/h because it tells you she walked at an avg speed of 5 km/h.

The time of trip 1 is 0.9-x. It's because the time in trip 2 is x, and it says the total is 0.9. So just subtract 0.9-x.

Also I took the test on edge and attached a pic.

Answer:

b

Step-by-step explanation:

The given expression can be rewritten as 2 × 5 × 5 × 5 × 5 and is equal to 1250. The correct option is (B).

Some of the rules of exponents are as follows,

The product of two exponents having the same power is equal to the power of their base multiplied.

The product of two exponents having the same base is equal to the sum of the powers of different exponents to the same base.

The given expression is 2 × 5⁴.

It can be simplified using the rule of indices as follows,

The expression 5⁴ can be written as 4 times 5 as below,

5⁴ = 5 × 5 × 5 × 5.

Then, the expression can be evaluated as

⇒ 2 × 5 × 5 × 5 × 5

⇒ 1250

Hence, the expression can be simplified to obtain 1250.

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Answer:

There were 210 downloads of the standard version.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of downloads of the standard version.

y is the number of downloads of the high-quality version.

The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.2 MB. The total size downloaded for the two versions was 4074 MB.

This means that:

[tex]2.6x + 4.2y = 4074[/tex]

Yesterday, the high-quality version was downloaded four times as often as the standard version.

This means that [tex]y = 4x[/tex]

How many downloads of the standard version were there?

This is x.

[tex]2.6x + 4.2y = 4074[/tex]

Since [tex]y = 4x[/tex]

[tex]2.6x + 4.2*4x = 4074[/tex]

[tex]19.4x = 4074[/tex]

[tex]x = \frac{4074}{19.4}[/tex]

[tex]x = 210[/tex]

There were 210 downloads of the standard version.

Answer:

D) 0.7559

Step-by-step explanation:

Independent events:

If two events, A and B are independent:

[tex]P(A \cap B) = P(A)*P(B)[/tex]

In this question:

Four independent events, A, B, C and D.

So

[tex]P(A \cap B \cap C \cap D) = P(A)*P(B)*P(C)*P(D)[/tex]

Find the probability that the machine works properly.

This is the probability that all components work properly.

[tex]P(A \cap B \cap C \cap D) = P(A)*P(B)*P(C)*P(D) = 0.93*0.93*0.95*0.92 = 0.7559[/tex]

So the correct answer is:

D) 0.7559

Answer 1750000

Step-by-step explanation:

The number "one and three-quarter million" can be written in figures as 1,750,000.

Given the number one and three quarter million.

"One" represents the digit 1.

"Three-quarter" means three-fourths or 3/4.

In decimal form, this fraction is 0.75.

"Million" signifies a value of 1,000,000.

To represent this number in figures, we combine these components:

We start with the digit 1, representing "one."

Then we append the value 750,000, which corresponds to "three-quarter million."

Combining these two parts, we have 1,750,000.

Therefore, "one and three-quarter million" can be written in figures as 1,750,000.

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Answer:

a = 29.3785

Step-by-step explanation:

Given ∠A = 46° and ∠B = 105°

we know that ∠A +∠B+∠C = 180°

                       46° + 105° +∠C = 180°

                      ∠C = 180 - 46 -105

                     ∠ C = 29°

By using sine rule

[tex]\frac{a}{sin A} = \frac{b}{Sin B} = \frac{c}{Sin C} = 2 R[/tex]

[tex]\frac{a}{sin A} = \frac{c}{Sin C}[/tex]

Given ∠A = 46° and  ∠ C = 29° and c = 19.8

[tex]\frac{a}{sin 46} = \frac{19.8}{Sin 29}[/tex]

on cross multiplication , we get

[tex]a = \frac{19.8 X sin 46}{Sin 29}[/tex]

a = 29.3785

Answer:

a= -3/8

b= 1/8

Step-by-step explanation:

To remove i from the denominator, we need to multiply the numerator and denominator by -i

[tex]\frac{(-1-3i)(-i)}{8i(-i)}[/tex]

This simplifies to

[tex]\frac{i+3i^{2} }{-8i^{2} }[/tex]

This further simplifies to

[tex]\frac{i-3}{8}[/tex]

This can be rewritten as

[tex]-\frac{3}{8} +\frac{1}{8} i[/tex]

a= -3/8

b= 1/8

Answer:

[tex] a = - \frac{3}{8} \\ \\ b = \frac{1}{8} [/tex]

Step-by-step explanation:

[tex] \frac{ - 1 - 3i}{8i} \\ \\ = \frac{ - 1 - 3i}{8i} \times \frac{i}{i} \\ \\ = \frac{( - 1 - 3i)i}{8i \times i} \\ \\ = \frac{ -1 \times i - 3 {i}^{2} }{8 {i}^{2} } \\ \\ = \frac{ - i - 3 ( - 1)}{8 ( - 1) } \\ \\ = \frac{ - i + 3}{ - 8} \\ \\ = \frac{ i - 3}{ 8} \\ \\ = \frac{ - 3 + i}{ 8} \\ \\ = \frac{ - 3}{8} + \frac{i}{8} \\ \\ \purple{ \bold{ = - \frac{3}{8} + \frac{1}{8} i}} \\ equating \: it \: with \: a + bi \\ \\ a = - \frac{3}{8} \\ \\ b = \frac{1}{8} \\ [/tex]

Answer:

4 units

Step-by-step explanation:

[tex] \because \: l = \frac{ \theta}{360 \degree} \times c \\ \\ \therefore \: l = \frac{72 \degree}{360 \degree} \times 20 \\ \\ \therefore \: l = \frac{72 \degree}{18\degree} \\ \\ \therefore \: l = 4 \: units[/tex]

Answer:

False

Step-by-step explanation:

The greatest sum of two consecutive even integers would be 200 + 198, or 398

Answer:

its true

Step-by-step explanation:

Answer:

90 boys

Step-by-step explanation:

There are 180 players

Multiply by the percent that are boys to find the number of boys

180 * 50%

180 * .50

90

Answer:

90 boys

Step-by-step explanation:

The soccer league has 180 players, and 50% or half are boys.

Multiply the total number of players in the league by the percent that are boys.

total number of players * percent of boys

180* 50%

Convert 50% to a decimal by dividing by 100, or moving the decimal place 2 spaces to the left.

50/100=0.50

50.0–>5.0–>0.50

180*0.50

Multiply

90

There are 90 boy soccer players in the league.

Answer:

[tex]31400\mu m^2[/tex]

Step-by-step explanation:

We are given that

Diameter of egg,d=[tex]100\mu m[/tex]

We have to find the  surface area of egg in [tex]\mu m^2[/tex].

Radius of egg,r=[tex]\frac{d}{2}=\frac{100}{2}=50\mu m[/tex]

Surface area of sphere=[tex]4\pi r^2[/tex]

Where [tex]\pi=3.14[/tex]

Using the formula

Surface area of egg=[tex]4\times 3.14(50)^2[/tex]

Surface area of egg=[tex]31400\mu m^2[/tex]

Hence, the surface area of the egg=[tex]31400\mu m^2[/tex]

Answer:

the distance written as a decimal is 3.7

37/10 = 3,7

Achievements :)

Answer:

Step-by-step explanation:

Answer:

I think the answer is 282.6 but my answer is 297.33.

Answer:

the answer will be 282.6m^2

but that is not entirely correct

Step-by-step explanation: