Terri rode her bike very slowly to the top of a big hill. Then she coasted back down the hill at a much faster speed. The distance from the bottom to the top of the hill is 3 kilometers. It took Terri ¼ hour to make the round trip. What was her average speed for the entire trip?

Answer:

4y+6

Step-by-step explanation:

Perimeter is adding up the outside

so.. there are y+y = 2y

y+3 + y+3 = 2y+6

2y+6 + 2y = 4y+6

Hope this helps :)

Answer:

1. A pentagonal Pyramid

2. Super Easy, tell me to draw one if you need but i am not gonna give in that much effort right now

Answer:

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

What is need to be done here is to set up an exponential equation for both scenario.

The exponential equation to set up is as follows;

V = P(1 + r)^t

It looks exactly like an equation used to get the amount on a compound interest after a stipulated number of years.

We have the following definitions;

V is the future value.

P is the present value

r is the rate in percentage

t is the time in years

So, for A, we have;

Kindly note that 4% = 4/100 = 0.04

110,000(1+0.04)^t = 110,000(1.04)^t

For B, we have;

6/100 = 0.06

100,000(1+0.06)^t = 100,000(1.06)^t

Now expected value of B is twice that of A.

The equation that defines this would look like;

100,000(1.06)^t = 2(110,000(1.04)^t)

Answer: 1 * 10^9

Step-by-step explanation:

1*10^9 = 1,000,000,000, which is the closest you can get.

Hope it helps <3

Answer:

2a+2b

Step-by-step explanation:

I am pretty sure that if the length is a and width is b, you would add them twice together. I am actually not quite sure.

Hope this helped you

I am sorry if this was wrong, I am still a beginner at this

Answer:

reflexive property of simliarity

Step-by-step explanation:

Answer:

Step-by-step explanation:

El ancho es x, el largo es x+3

El perímetro es dos veces el largo más dos veces el ancho, es decir: 2(x) + 2(x+3) = 4x+6

El polinomio sería: P(x)=4x+6

The option that correctly describes the graph below is A. Piecewise function.

A piecewise function is a function that reacts in different ways based on the input received at every point in time. This function has different intervals and funtions that apply to the respective domains.

Sometimes, these graphsa re recognized by the three main parts that they have. So, the function that is represented by the graph is the piecewise function.

Learn more about piecewise functions here:

https://brainly.com/question/27262465

#SPJ2

Answer:

[tex]2\frac{8}{15}[/tex] or  2.5333

Step-by-step explanation:

Just multiply the numbers. please mark brainliest

Answer:

∠ BDG = 148°

Step-by-step explanation:

The tangent- chord angle BDG is half the measure of its intercepted arc DCG

The 2 arcs in the circle sum to 360°, thus

arc DCG = 360° - arc DG = 360° - 64° = 296° , thus

∠ BDG = 0.5 × 296° = 148°

Answer:

6

Step-by-step explanation:

3(4 - 2)

Expand brackets.

3(4) + 3(-2)

12 + - 6

= 6

━━━━━━━☆☆━━━━━━━

▹ Answer

6

▹ Step-by-Step Explanation

Follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(4 - 2)

3(2)

= 6

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides

-1 = x - 9

Step 2: Add 9 to both sides

x = 8

Perimeter of a rectangle = 2l + 2b

where

l = length

b = breadth

The length is twice it's breadth which is written as

l = 2b

Perimeter = 2(2b) + 2b

72 = 4b + 2b

72= 6b

Divide both sides by 6

b = 12 meters

Since l = 2b

l = 2(12) = 24 meters

The length of the rectangle is 24 meters and it's breadth is 12 meters

Hope this helps

Answer:

If breadth of a rectangle is 19m and perimeter is 80m, find the length of the rectangle.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

[tex]10\frac{2}{3}\pi[/tex]

Step-by-step explanation:

First find the area of the whole thing. It is 8^2π = 64π. Then the blue part is 60/360 = 1/6 of the area. This is 64/6π=32/3π=10.66π

Answer:

(i) 1/21

(ii) 1/10

(iii) Take a look at the explanation: Try this one yourself. I have given you some hints.

Step-by-step explanation:

(i) Two red balls:

To do this, we need to find the total amount of possible choices first. To do this, we multiply 15 by 14. This is our denominator:

15(14) = 210

Now, we need to find the total combinations of red balls. We solve 5 choose 2 for this one.

5 choose 2 = 5(4)/2! = 10

Our numerator is 10. Therefore, our probability is 10/210 = 1/21.

(ii) Two blue balls or two black balls:

To do this, we need to add the probabilities of getting a blue ball with a black ball. (Since there is an "or" sitting there. If there is an "and", we multiply)

So, let's calculate the probability of getting a blue ball first:

Blue:

We use the same denominator as before: 210.

Our numerator is now 6 choose 2, which is:

6 choose 2 = 6(5)/2! = 15.

Now, our fraction is 15/210, BUT, dont simplify, as we will need to add.

Black:

Same steps: denominator is 210, but the numerator is 4 choose 2.

Solving 4 choose 2:

4 choose 2 = 4(3)/2! = 6.

Our numberator is 6.

But, we cant forget to add them!

(15 + 6)/210 is 21/210, which is 1/10.

(iii) I'll let you try this one by yourself. Here is a hint:

Solve for the probability of chooseing a black ball and a red ball. Then, multiply.

Enjoy the process, and I hoped this helped you! (If you have any questions, feel free to ask)

Answer:

£120

Step-by-step explanation:

Given that

The price after reduction = £78

So, 65% = £78.

We have to calculate 100 %

To do so, find 5% and multiply that by 20

65% = £78

5% = 78/13 = £6

So, 100% = 6 x 20 = £120

Hope this helps.

Good Luck

Please mark brainiest

Answer:

[tex]\large \boxed{\sf \ \ 2 \ \ }[/tex]

Step-by-step explanation:

Hello,

The mean of five numbers is 8 so we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8[/tex]

When another number is added the mean is 7, let s note x the another number we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7[/tex]

From the first equation we can say

[tex]x_1+x_2+x_3+x_4+x_5=8*5=40[/tex]

So the second equation becomes

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\<=> \dfrac{40+x}{6}=7\\\\<=>40 + x = 6*7=42\\\\<=> x = 42-40 = 2\\[/tex]

The solution is then 2

Hope this helps

Given that,

Speed of first bicycle = 9 mph

Speed of second bicycle = 5 mph

Suppose the length of the circle 24 miles.

We need to find the relative velocity

Using formula of relative velocity

[tex]v=v_{1}-v_{2}[/tex]

Put the value into the formula

[tex]v=9-5[/tex]

[tex]v=4\ mph[/tex]

We need to calculate the time

Using formula of time

[tex]t=\dfrac{d}{v}[/tex]

[tex]t=\dfrac{24}{4}[/tex]

[tex]t=6\ hr[/tex]

We need to calculate the distance of the points where the two bicycles meet

Using formula of distance

For first bicycles,

[tex]d=9\times6[/tex]

[tex]d=54\ miles[/tex]

For second bicycles,

[tex]d'=5\times6[/tex]

[tex]d'=30\ miles[/tex]

Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.

Answer:

[tex]h(t) = 0.75t^2 + 4t + 12[/tex]

Step-by-step explanation:

The equation given calculates the derivative of the height in relation to the time, that is, the rate of change of the height. To find the equation for the height, we need to integrate this equation:

[tex]dh/dt = 1.5t + 4[/tex]

Multiplying both sides by 'dt', we have:

[tex]dh = (1.5t + 4)dt[/tex]

Using the integral in both sides:

[tex]\int dh = \int (1.5t + 4) dt[/tex]

[tex]h = 0.75t^2 + 4t + h(0)[/tex]

[tex]h = 0.75t^2 + 4t + 12[/tex]

So the height after t years is represented by this equation:

[tex]h(t) = 0.75t^2 + 4t + 12[/tex]

Answer:

u+43°=u_3°+u+3° (by exterior angle theorem)

u+43°= 2u

or, 2u_u=43°

or, u= 43°

is the value of u.....

Answer:

A prism is a polyhedron A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon.

Step-by-step explanation:

i hope this will help you

Answer:

A triangular prism is a prism whose bases are triangles and whose lateral faces are rectangles.It has 9 edges and 6 vertices.

please see the attached picture.

hope this helps..

Good luck on your assignment..

Answer:

it would take about 4.2 years for her debt to double.

Step-by-step explanation:

With a principal of $3000, and an annual interest rate of 18%, the equation for accumulated debt as a function of time in years, would be given by the expression:

[tex]A(t)=3000\,(1+0.18)^t[/tex]

now, if we want to find when the debt would double, we replace A(t) with $6000, and solve for the time 't' using logarithms to bring down the unknown (t) that resides in the exponent:

[tex]A(t)=3000\,(1+0.18)^t\\6000=3000\,(1.18)^t\\2=(1.18)^t\\log(2)=t\, \, log(1.18)\\t=\frac{log(2)}{log(1.18)} \\t=4.1878\,\,years[/tex]

which we can round to approximately 4.2 years

Answer:

Step-by-step explanation:

Hello,

[tex]g(n)=80*(\dfrac{3}{4})^n \ So\\g(1)=80*\dfrac{3}{4}=20*3=60 \\\\ and \\\\\dfrac{g(n)}{g(n-1)}=\dfrac{80*(\dfrac{3}{4})^n}{80*(\dfrac{3}{4})^{n-1}}=\dfrac{3}{4} \ so \\\\g(n)=g(n-1)*\dfrac{3}{4}[/tex]

do not hesitate if you have any question

Answer:

D

Step-by-step explanation:

So that you can have an equation equal to zero to solve for x

Answer:

2.36 km

Step-by-step explanation:

First they covered 3/8 of the road, so in figures that is;

= [tex]\frac{3}{8} * 10km[/tex]

=3.75 km

The second week they covered 7/18 of the road which is;

= [tex]\frac{7}{18} * 10km[/tex]

= 3.89 km

If we combine the two distances, we get;

= 3.75 km + 3.89 km

= 7.64 km

Subtract this from the total distance and you get

= 10 km - 7.64 km

= 2.36 km

Which means 2.36 km of the road is left to be covered with asphalt.

Answer:

a) Domain: All real numbers

b) Domain: -4<x<=4

a) Range: All real numbers greater than 2

b) Range: 0<=y<=4

Step-by-step explanation:

Domain is the possible x values

Range is the possible y values

Open circle means not included

Close circle means included

Answer: a) Domain: x = (-∞, ∞)              b) Domain x = (-4, 4]

                  Range y = [2, ∞)                        Range y = [0, 4]

Step-by-step explanation:

Domain represents the x-values. Range represents the y-values.

a) the graph doesn't end so every x-value is possible

  x = All Real Numbers       x = (-∞, ∞)

The lowest y-value (minimum) is at y = 2.  All other y-values are greater than that. y ≥ 2      y = [2, ∞)

b) The graph starts at x = -4 with an open dot so it doesn't include -4.  It ends at x = +4 with a closed dot so it does include +4.

     -4 < x ≤ 4           x = (-4, 4]

The lowest y-value (minimum) is at y = 0.  All other y-values are greater than that up to y = 4. 0 ≤ y ≤ 4      y = [0, 4]

Answer: Probability = 20/132

Step-by-step explanation: There is no replacement in the box, so, once the marble is taken out, there will be one less inside the bag:

Total = 5 + 4 + 3 = 12

Probability of Blue:

P(b) = 5/12

Probability of Red: Since the blue is already out, total will be one less:

P(r) = 4/11

Probability of taken one and then the other:

P(blue,red) = [tex]\frac{5}{12} . \frac{4}{11}[/tex]

P(blue,red) = [tex]\frac{20}{132}[/tex] ≈ 0.15

The probability of drawing a blue and then a red is 20/132.

Answer:

5/33

Step-by-step explanation:

Answer:

A.) 25.2

Step-by-step explanation:

Given the following :

Times in first four races :

26.3, 28.4, 25.6 and 29.1

The range of a list of values is the difference between the maximum and minimum value of the list or data.

In her first four races :

Range = 29.1 - 25.6 = 3.5

Value of range in her first four races = 3.5

In other to make the range larger:

Either she has a value less than the least time in her previous four races or she has a value greater than the maximum value of her previous race in her next race.

With a time of 25.2 in her next race : least value in the data will be 25.2

Range = 29.1 - 25.2 = 3.9

With a time of 26.1 in her next race :

Range = 29.1 - 25.6 = 3.5

With a time of 28.0 in her next race :

Range = 29.1 - 25.6 = 3.5

With a time of 29.1 in her next race :

Range = 29.1 - 25.6 = 3.5

Answer:

25.2

Step-by-step explanation:

Your friend swims on the school team.

In her first four races, her times are 26.3, 28.4, 25.6, and 29.1 seconds.

Which time listed for her next race would make the range larger?