How much of a radioactive kind of ruthenium will be left after 8 hours if you start with 3,888
grams and the half-life is 4 hours?
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A piecewise function is a function that is applied depending on the

particular interval of the domain.

A piecewise function for the journey can be presented as follows;

Reasons:

The duration of swimming = 10 minutes

The speed with which she swam = 40 meters /minute

The duration of biking = 40 minutes

The rate at which she biked = 400 meters/minute

The distance in which she ran = 25 minutes

The rate at which she ran = 200 meters/minute

Therefore;

Distance in which Ashley swam, [tex]D_{swim}[/tex] = 10 minutes × 40 m/min = 400 m

Distance of biking, [tex]D_{bike}[/tex] = 40 minutes × 400 m/min = 16,000 m

The distance she ran, [tex]D_{run}[/tex] = 25 minutes × 200 m/minute = 5,000 meters

The time during which she swam = The first 10 minutes = t ≤ 10

The time in which she biked =40 minutes = From 10 minutes to 50 minutes = 10 < t ≤ 50

The time in which she ran after start is 50 < t ≤ 85

Therefore the piecewise function of the above information can be presented as follows;

[tex]& d(t) = 40 \times t \text{ if } t\leq 10 \\ \\ &d(t) =400 + 400 \times t \text{ if } 10 <t\leq 50 \\ \\ & d(t) = 16,400 + 200 \times t \text{ if } 60 <t\leq 85 \end{cases}[/tex]

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Answer:

D

Step-by-step explanation:

Answer:

just check if the y coordinate for each center is equal to 0

Step-by-step explanation:

Answer:

3^(x+2)

Step-by-step explanation:

697 x 64 = 44,608.

Hope this helps.

Answer:

(Listed in bold below.)

Step-by-step explanation:

Part A: Mr. Johnson has a watch that's $60. He increased it by 30%, which is 130% of it's original price. We can divide $60 by 1.30 in order to increase it by 30%.

Mr. Johnson has the watch listed at $78.

Part B: The watch is $88, but has a 15% discount. We need to subtract by 15% (0.15). Multiply 88 by 0.15 to see the total removed. The total removed is $13.20. Subtract that from $88. The total is $74.8, until we add sales tax. To add 5%, multiply $74.8 by 1.05.

The customer paid $78.54 for the watch.

The IQ scores are most likely to be more positively correlated is Jan

Answer: 9" by 7"

Step-by-step explanation:

let the dimensions of the rectangle be x and y

equation 1:  xy=63

equation 2:  2(x+y)=32

first, rearrange the terms

(1′):  y=63/x

(2′):  y=16−x

(1′)-(2′):  0=63/x−16+x

multiply the equation by  x

0=x2−16x+63

0=(x−9)(x−7)

so x = 7 or x = 9

from this, y = 9 when x = 7 and y = 7 when x = 9

so, the dimension of the rectangle is 9″ by 7″

Answer:

1. width is w. length is w + 26

2.

[tex]w \times (w + 26) < 2040[/tex]

3. the width must be less than 34

4. sure, if the width is 10, then the area is 360

Step-by-step explanation:

[tex]w \times (w + 26) < 2040[/tex]

1

Answer:

Step-by-step explanation:

1) Width = w ft

Length = ( w + 26 ) ft

2) Area of floor = length *width

(w + 26)*w < 2040

w*w + 26*w < 2040

w² + 26w - 2040 < 0

3) w² - 34w + 60w - 2040 < 0

w(w - 34) + 60(w - 34) < 0

(w -34)(w  + 60) < 0

Ignore w +60 as width wont have a negative value.

w - 34 < 0

w < 34

l = 33 + 26 = 59

Width = 33 and length= 59

Area = length * width = 33 *  59  = 1947 sq. ft

Area ≤ 1947

4) Yes.

If width = 10 , length = 26 + 10 = 36

36* 10 = 360 sq. ft.

So, if it possible to have a n area of 360 sq. ft

Answer:

The 2. one

Step-by-step explanation:

the numbers you see (-2, 2, -3) are the intersections with the x axis.

Zeros of the given polynomial function are y = (x+2)(x-2)(x+3); -2, 2-3. Therefore, option B is the correct answer.

The zeros of polynomial refer to the values of the variables present in the polynomial equation for which the polynomial equals 0.

Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph.

From the given graph,

x=-3, x=-2 and x=2

So, y=(x+3)(x+2)(x-2), -2, 2, -2

Therefore, option B is the correct answer.

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Answer:

it's 1/2

rise over run

HOPE THIS HELPS

BRAINLIEST PLEASE

Answer:

Slope: 1/2

Step-by-step explanation:

When determining a slope you look at how many units the line is going up by and how much it is going forward/backward by. Look at how much the line is moving per unit upward and look how much the line is moving per unit forward. Then, take these two number and put them in a format of (units upward) / (units forward). In this case, the line is going up by 1 unit while going forward 2 units. Using the same formula we find that the slope is 1/2 or 0.5.

we have the ratio of fruit juice to water is 4:5 which means each cup of water need 4/5 (or 0.8) cup of fruit juice.

Answer:

Factors of 65: 1, 5, 13, and 65.

Prime Factorization of 65: 65 = 5 × 13.

Step-by-step explanation:

hope this helps!

Answer:

1, 5, 13, and 65.

Step-by-step explanation:

120 miles

The grey hound can run 60 mph

it is running for 2 miles

60x2 is 120

hope this helped :)

Answer:

false

Step-by-step explanation:

-5,-4,-3,-2,-1,0,1,2,3,4,5

FALSE

Step-by-step explanation:

because in the number line the difference between -5and 5 is 10 because when we put those numbers in number line the distance from 0 to 5 is 5 and the distance from 0 to -5 is 5 addition of this two distances will give us 10 because we do not cosider about direction they found in distance

Answer:

7 : 19

Step-by-step explanation:

There are 28 dogs.

There are 76 animals.

28 : 76

14 : 38

7 : 19

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

The line we want is perpendicular to y=1/4x-2.  A perpendicular line will have a slope that is the negative inverse of the reference line, so it will have a slope of -4.  That gives us:

y = -4x + b

We can find b by entering the given point, (2,-6) and solving for b:

y = -4x + b

-6 = -4*(2) + b

-6 = -8 + b

b = 2

The equation is y = -4x + 2

Check it by graphing (DESMOS works well).  Attached.

Answer:

X= 180/3

X= 60°

...............................

Answer:

hold on let me check to see what the answer is

Step-by-step explanation:

34.422

A splendiferous teen willing to help,

who listens to "Fight Song,"

stay salty...

Answer:

-8/17x - 7

Step-by-step explanation:

Y-intercept is -7, since the point (0, -7) is on the y-axis.

-8 to 0 is -8

10 to -7 is -17

Answer:

x=3

Step-by-step explanation:

[tex]x^2=9[/tex]

Find the square root of both sides.

[tex]x=\sqrt{9}[/tex]

x=3

Answer:

Step-by-step explanation:

The given diagram doesn't give enough details to state the quadrilateral is a square.

We see all sides are of same length of 9 units. This could be a rhombus too.

In order this quadrilateral is a square all interior angles should be marked as right angles.

Let's assume the above condition is met.

Find the length of both diagonals:

Since both diagonals have same length, the quadrilateral is a square.

Break into two parts

In∆ABC

[tex]\\ \sf\longmapsto AC^2=9^2+9^2=81+81=162\implies AC=9√2[/tex]

In ∆ADC

[tex]\\ \sf\longmapsto AC^2=9^2+9^2=81+81=162\implies AC=9√2[/tex]

ABCD is a square.

I guess that we want to know when both sandcastles will have the same height. We will see that the castles will have the same height after 8 minutes.

We know that Macie sandcastle height is equal to 220cm and wind blows away sand at a rate of 4.8cm per minute, then the height equation is:

M(t) = 220cm - 4.8cm*t

Where t is time in minutes.

While Seth's sandcastle has an initial height of 132cm and its height increases at a rate of 6.2 cm per minute, then the equation is:

S(t) = 132cm + 6.2cm*t

The castles will have the same height when:

M(t) = S(t)

220cm - 4.8cm*t =  132cm + 6.2cm*t

220cm - 132cm = 6.2cm*t + 4.8cm*t

88cm = 11cm*t

88cm/11cm = t = 8

This means that the castles will have the same height after 8 minutes.

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5x + 15 = 28

Subtract 15 from both sides:

5x = 13

Divide both sides by 5:

X = 13/5

Answer:

Step-by-step explanation:

refer to the attachment

hope it helps