Rachel rides her bicycle due east at 12 kilometers per hour. Amos rides his
bicycle due north at 16 kilometers per hour. If they left from the same point at
the same time, how far apart will they be after 2 hours?

Answer:

solution,

[tex]tan \: theta = \frac{perpendicular}{base} \\ tan \: (53) = \frac{bc}{ac} \\ tan \: (53) = \frac{26.23}{ac} \\ ac = \frac{26.23}{0.4311} \\ ac = 60.84 \: feet[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

1. Integer, rational, and real

Step-by-step explanation:

Remember:

(This is how my teacher taught it; yours may have done it differently)

Real numbers are numbers that can be plotted on a number line.

Rational numbers can be represented as a fraction (if they can't be represented as such they are irrational).

Integers are natural numbers, the opposite of natural numbers, and zero.

Whole numbers are natural numbers and zero.

Natural numbers are numbers you can count with.

-61 fits under real numbers, rational numbers, and integers. Assuming you want to be as specific as possible, the answer will be 1. Integer, rational, and real.

Answer:

A joint insurance and retirement plan would generally be the most secure investment.

Step-by-step explanation:

Note: there may be divergence in the answers depending on personal opinion.

If they would like to secure their future, then they need secure investments, or low-risk investment.  Generally, low risk investments will give lower probably returns, but also lower possible losses, if any at all.

A. real estate options, mean unknown return in unknown time-frame

B. high risk shares that promise big returns mean risky investment with high risk of losses

C. joint insurance and retirement plans mean usually known return, and close to zero risk (unless insurance company goes bankrupt)

D. Become entrepreneurs or invest in a business, is a good option, provided a judicious choice of the business would be made.

Answer: Yes.

Step-by-step explanation: In each bracket, there is an odd and even number.

Answer:

m-2times 4

Step-by-step explanation:

Answer:

n/4 -1

Step-by-step explanation:

i got it from khan

Answer:

D

Step-by-step explanation:

The y values change by -26 - (-10) = -16 in the interval and the x values change by 5 - 3 = 2 so the average rate of change is -16 / 2 = -8.

Answer:

D. -8

Step-by-step explanation:

Risked it all for my grades.

Answer:

a - b and a + b.

Step-by-step explanation:

Let's say the area of a rectangle is represented by the expression 100a^2 - 49b^2.

According to an algebraic formula, a^2 - b^2 = (a - b) * (a + b) = a^2 - ab + ab - b^2.

In this case, the square root of 100 is 10, and the square root of 49 is 7. That means that we have (10a - 7b) * (10a + 7b).

We can check that by doing... (10a - 7b)(10a + 7b) = 100a^2 - 70ab + 70ab - 49b^2 = 100a^2 - 49b^2.

Since it matches to the expression given, the expressions that represent the dimensions of the rectangle are (a - b) and (a + b).

Hope this helps!

Answer:

9

Step-by-step explanation:

8−2⋅3+7

PEMDAS

Multiply and divide first

8−6+7

Then add and subtract

2+7

9

Answer:

9

Step-by-step explanation:

Remember to follow the order of operations, PEMDAS.  Note that PEMDAS =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, multiply -2 with 3:

-2 * 3 = -6

Next, follow the left -> right rule. First subtract, then add:

8 - 6 = 2

2 + 7 = 9

9 is your answer.

~

Answer:

The answer is below

Step-by-step explanation:

In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64°  87°

Given that:

mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees

∠SOR = ∠TOU  (Vertically opposite angles are equal). Therefore:

13 x = 15x - 8

solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x = 13(4) = 52°

∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

Answer:

C) 64 degrees

Step-by-step explanation:

just took the test on edg2020

Answer:

divide the interest amount by the product of the principal and time

Step-by-step explanation:

The simple interest formula is I = prt where I is the interest, p is the principal, r is the rate and t is the time (in years). Rewriting this formula so that r is the subject we get r = I / pt. Therefore the answer is divide the interest amount by the product of the principal and time.

Answer: 6($m - $20)

Step-by-step explanation:

From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:

$m - $20.

The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:

= 6($m - $20)

Answer:

Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.

Step-by-step explanation:

she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)

Answer:

Francis spent $19 and Hector spent $28.50

A. $19

Step-by-step explanation:

The total amount spent between the two person = $47.5

If Hector is represented by H

Francis represent by F

Therefore equation 1 = H + F = 47.5

H +F = 47.5 ..........(eqn 1)

From the question

Hector = Francis + 50% Francis

Translating this into an equation we get,

H = F + 0.5F ...... (eqn 2)

Substitute equation 2 into equation 1, we get:

(F + 0.5F) + F = 47.5

Thus 2.5F = 47.5

F = 47.5/2.5 = 19

=======================================================

Explanation:

The upper boundary, or upper bound, is a fence of sorts.

Note how the following values all round to 34.9, when rounding to one decimal place

We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9

All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0

Answer: 8 arboles.

Step-by-step explanation:

Ok, el camino tiene 80m de longitud.

Si la distancia entre árbol y árbol es x metros, entonces entran:  

N = 80m/x arboles.

Ahora, si x aumenta en 6m, entonces el numero de arboles se reduciría en 3, entonces tenemos el sistema de ecuaciones:

N = 80/x

N - 3 = 80/(x + 6)

Para resolver esto, el primer paso es remplazar la primera ecuación en la segunda:

N - 3 = 80/x - 3 = 80/(x +6)

Ahora podemos resolver esto para x.

80*(x + 6) - 3*x*(x +6) = 80x

80*x + 480 - 3*x^2 - 18*x - 80x = 0

-3*x^2 -18*x + 480 = 0

necesitamos resolver esa ecuación cuadrática, y sabemos que las soluciones son:

[tex]x = \frac{18 +-\sqrt{18^2 + 4*3*480} }{-2*3} = \frac{18 +-78}{-6}[/tex]

Entonces las dos soluciones son:

x = (18 +78)/-6 = -16

x = (18 - 78)/-6 = 10

La solución tiene que ser positiva, así que elegimos la segunda.

Esto quiere decir que la primera distancia es 10 metros, entonces el numero de arboles es:

N = 80m/10m = 8

Answer:

3/8.

Step-by-step explanation:

The probability of a head or a tail on one toss of a single coin is 1/2.

So the required probability when 3 coins are tossed of getting say 3 heads  = (1/2)*3 = 1/8.

The probabilities are multiplied because each event ( 1 coin tossed) is independent of the others.

There are  3 ways to get 2 H and 1 tail  (HHT, HTH and THH) so the answer is  3 * 1/8

= 3/8.

Answer:

3/8 or 0.375 or 37.5%

Step-by-step explanation:

You have three coins. The probability of getting a head or a tail for each coin is 1/2. So,

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex]

There are 8 possible combinations that can come from tossing 3 coins at the same time: HHH, HHT, HTH, HTT, THH, THT , TTH , or TTT.

Every time you toss the 3 coins, there is a [tex]\frac{1}{8}[/tex] chance that you get either of these combinations. So,

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

The probability of tossing 2 tails and 1 head is 3/8.

Hope this helps.

Answer:

-2y=-6(2)-4

-2y=-12-4

-2y/-2=-16/-2

y=8

Add the frequency for 16 and above :

5 + 7 + 7 = 19

19 passed

Total students ( add all frequencies) is 30

The fraction that passed is 19/30

Answer:

24x-8y

Step-by-step explanation:

8(3x-y) - distributive property

24x-8y

Answer:

24x - 8y.

Step-by-step explanation:

8(3x - y) = 8 * 3x - 8 * y = 24x - 8y

Hope this helps!

Answer:

Volume of the water droplet = 0.00001 cubic meter

Step-by-step explanation:

∵ 100 centimetres = 1 meter

∴ 1 centimetre = [tex]\frac{1}{100}[/tex] meter

                       = 0.01 meter

Volume of a water droplet = 0.1 cubic centimetre

                                            = 0.1 (centimetre)³

By putting 1 centimetre = 0.01 meter

Volume of the water droplet = 0.1 (0.01 meter)³

                                                 = 0.1 × (0.01)³ meter³

                                                 = 0.1 × 0.0001 meter³

                                                 = 0.00001 meter³

The terms that are not polynomial are x2/3 + v3x+1. The correct option is B.

The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial. For instance, there will be 3 terms in a polynomial like 2 x 2 + 5 + 4 for example.

x2/3 + √3x+1 is not a polynomial term because the power is in a fraction in the polynomial term, the power is not in a fraction.

Therefore, the correct option is B. x2/3 + v3x+1.

To learn more about polynomial terms, refer to the link:

https://brainly.com/question/11536910

#SPJ1

Answer:

6x³ - 17x² + 11x - 2

Step-by-step explanation:

The cubic polynomial in general form is:

zeroes are

then we can get the polynomial as:

So the required polynomial is:

Answer:

f(x) = 6x³ - 17x² + 11x - 2

Step-by-step explanation:

Given the zeros x = 2, x = [tex]\frac{1}{3}[/tex], x = [tex]\frac{1}{2}[/tex] then the factors ar

(x - 2), (x - [tex]\frac{1}{3}[/tex] ), (x - [tex]\frac{1}{2}[/tex] )

By equating the fractional factors to zero we can express them as integer factors, that is

x - [tex]\frac{1}{3}[/tex] = 0 ( multiply through by 3 )

3x - 1 = 0

x - [tex]\frac{1}{2}[/tex] = 0 ( multiply through by 2 )

2x - 1 = 0

Thus the factors are (x - 2), (3x - 1), (2x - 1)

The polynomial is then the product of the factors.

f(x) = (x - 2)(3x - 1)(2x - 1) ← expand last 2 factors using FOIL

     = (x - 2)(6x² - 5x + 1) ← distribute

     = 6x³ - 5x² + x - 12x² + 10x - 2 ← collect like terms

f(x) = 6x³ - 17x² + 11x - 2 ← cubic polynomial

Answer: C=0.20p

Step-by-step explanation:

As you could see if you print 10 photos you will have to pay 2 dollars which means if you print 1 photo you will have to pay 20 cents.

Answer:

I think its 8

Step-by-step explanation:

Answer:

The three roots have a multiplicity of 2

Step-by-step explanation:

The zeros of the function refers to those points on the x-axis on which the curve passes through

These are the points -2,0 and 4

Now we want to determine which of these points has a multiplicity of 2?

The correct answer is that all have a multiplicity of 2 since 2 can be factored out

2(-1) , 2(0) and 2(2)

Answer:

the answer is A. none

Answer:

No, the weight loss program doesn't have statistical​ significance.

Step-by-step explanation:

We are given that in a study of a weight loss​ program, 7 subjects lost an average of 41 lbs.

It is found that there is about a 40% chance of getting such results with a diet that has no effect.

Firstly, statistical significance means that the event is sure to be happen and there is a proper statistical calculation behind it.

But here it is stated that there is a 40​% chance of getting such results with a diet that has no effect which means that the event is unlikely to happen by chance and it is just a prediction so, the weight loss program is not statistically significant.

Now, practically significant means that there is a large difference in the subjects being tested.

Here, the weight loss program is considered to be practically significant because there is a large amount of weight loss of 43 lbs of the subjects which is a large amount.

Answer:

80cm^2

Step-by-step explanation:

Answer:

80 ft^2

Step-by-step explanation:

To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2

Answer:

Last equation given in the list of possible answers:

5 ( 1.5 + 1.5 + x ) = 25

Step-by-step explanation:

We need to include in the total addition of miles ridden during the week:

a) 1.5 miles to the school

b) 1.5 miles from school back home

c) x miles for the evening ride

so for the miles ridden per day we have: "1.5 +1.5 + x"

Now, since per week she does 5 days like this, then we need to multiply the expression above by 5 in order to total the number of miles she rides weekly (25 miles)

5 ( 1.5 + 1.5 + x ) = 25

And we can use this equation to find the amount "x" that Rin rides in the evening.

Answer:

The answer is D.5 (1.5 + 1.5 + x) = 25

Step-by-step explanation:

Answer:

The like terms are 7x and 6x so the answer is 13x + 9.

Answer:

13x + 9 is the Answer

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Perpendicular lines always have the negative (opposite) reciprocal slope. Therefore, the slope of the line would be -2 because the reciprocal is just switching the numerator and denominator around (1/2 changes to 2/1 which is 2) and the negative means the opposite sign of which was originally given... i.e, since the 1/2 was positive, now it would be negative. That is why the slope is -2.

The equation of a line is y=mx+b with m representing the slope and b representing the y-intercept. Now to find the y-intercept, plug in the given components of the point (4,0) for the equation and solve for b (the y-intercept). Use 4 for x and 0 for y.

0=-2(4)+b

0=-8+b

8=b