In two half-lives, how much of a 400-gram sample of a radioactive element will remain un-decayed?

Answers

Answer 1

Answer:

100 grams

Step-by-step explanation:

1/2 * 1/2 = (1/2)² = 1/4

1/4 * 400 = 100


Related Questions

Someone please help

Answers

Correct Work

4x+8 +3(x-4)

4x +8 + 3x-12

4x+3x+8 -12

7x -4

Mistake Made

3 wasn't multiplied by the 4 in the bracketLike terms wasn't combined in the working out The answer was supposed to be -4, 8-4= -4

The answer I put is wrong. SO don't put that as a answer. NEED TO EXPLAIN VERY IMPORTANT

Brainleist

Answers

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b7.

Find the two positive intergers that satisfy the given requirements. The difference of numbers is 90 and the larger number is three times the smaller number​

Answers

Answer:

45

135

Step-by-step explanation:

x-y = 90

x = 3y

3y - y = 90

2y = 90

y = 45

x = 3×45 = 135

What is the slope of a line perpendicular to the line y=2x+5 ?What is the slope of a line perpendicular to the line y=2x+5 ?

1/2


−2

2

−1/2

Answers

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Hi there!

In the given equation [tex]y=2x+5[/tex], the slope of the line is 2.

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The negative reciprocal of [tex]\frac{3}{1}[/tex] (which is the same as 3) is [tex]-\frac{1}{3}[/tex].

Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].

Using this logic, the negative reciprocal of 2, or [tex]\frac{2}{1}[/tex], is [tex]-\frac{1}{2}[/tex]. Therefore, the slope of a line perpendicular to the line [tex]y=2x+5[/tex] is [tex]-\frac{1}{2}[/tex].

I hope this helps!

The nurse is preparing to administer filgrastim to a client with leukemia who weighs 60 kg. The prescribed dose is 5 mcg/kg/day. The available dose is 300 mcg/mL. How many milliliters will the nurse administer?

Answers

300ml.

60×5=300 so yea, that's ur answer

Solve the equation by factoring. 3x^2-5x-12=0

Answers

hope this helps you out! :)

Answer:

x = 3

[tex]x=-1\frac{1}{3}[/tex] or [tex]x=-\frac{4}{3}[/tex]

Step-by-step explanation:

3x² - 5x - 12 = 0

Method 1: Factoring

3x² + 4x - 9x - 12 = 0

(3x² + 4x) + (- 9x - 12) = 0

x(3x + 4) - 3(3x + 4) = 0

(x - 3)(3x + 4) = 0

Two separate equations

x - 3 = 0

3x + 4 = 0

x - 3 = 0

x - 3 + 3 = 0 + 3

3x + 4 = 0

3x + 4 - 4 = 0 - 4

3x = - 4

[tex]\frac{3x}{3} :-\frac{4}{3}[/tex]

[tex]x=-1\frac{1}{3}[/tex]

Method 2: Quadratic Formula

Ignore the A before the ±, it wouldn't let me type it correctly.

[tex]x=\frac{-b±\sqrt{b^{2} -4ac} }{2a}[/tex]

3x² - 5x - 12 = 0

a = 3

b = - 5

c = - 12

[tex]x=\frac{-(-5)±\sqrt{(-5)^{2} -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 -4((3)(-12))} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{25 +144} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±\sqrt{169} }{2(3)}[/tex]

[tex]x=\frac{-(-5)±13}{2(3)}[/tex]

[tex]x=\frac{5±13}{6}[/tex]

Two separate equations

One must have a + (positive) and the other will have a - (negative).

[tex]x=\frac{5+13}{6}[/tex]

[tex]x=\frac{18}{6}[/tex]

x = 18 ÷ 6

x = 3

[tex]x=\frac{5-13}{6}[/tex]

[tex]x=\frac{-8}{6}[/tex]

x = - 8 ÷ 6

[tex]x=-1\frac{1}{3}[/tex]

Put the following equation of a line into slope-intercept
form, simplifying all fractions.
x + 4y = 24
ASAP!!!!

Answers

Answer:

y = -1/4x + 6

Step-by-step explanation:

Answer:

y = -1/4x + 6

Step-by-step explanation:

Get y alone:

x + 4y = 24

-x = -x

4y = -x + 24

Divide:

4y = -x + 24

4 = 4

Distribute division:

y = -1/4x + 24/4

Reduce fractions:

y = -1/4x + 6

Steps for: 6-2x+5+4x

Answers

Answer:

6-2x+5+4x

2x+11

hope this helps

have a good day :)

Step-by-step explanation:

The only step you need to do is add like terms

11-2x is the answer

Help please & show work

Answers

Answer:

Infected = itself + itself

Healthy = 200 - infected

y axis = weeks

x axis = # of people

use green for healthy and red for infected

and mark going by weeks

green:

(1, 199)

(2, 198)

(3, 196)

(4, 192)

(5, 184)

(6, 168)

(7, 136)

(8, 72)

(9, -56)

red:

(1, 1)

(2, 2)

(3, 4)

(4, 8)

(5, 16)

(6, 32)

(7, 64)

(8, 128)

(9, 256)

(10, 512)

help pls ill give u brainlest

Answers

Step-by-step explanation:

πr²= Area of a circle

In this case:

π16²

16²= 256265×π= 804.2 (1dp)

So therefore, the answer is A

Hope this helped!

Belts are made in sizes Small, Medium, Large and Extra Large.
Jenny needs to order more belts in June.
The modal size of belts sold is Small.
Jenny is going to order 4 of the belts in size Small.
The manager of the shop tells Jenny she should not order so many Small belts.
(b) Who is correct, Jenny or the manager?
You must give a reason for your answer.

Answers

Answer:

I think the manager is correct because Jenny should not order the belts according to its sold quantity or according to the demand of other people.She must choose the size according to her waist size and the other's for whom she is going to buy.

Will you mark it the brainliest please because I answered your question inspite of being in class:)

hey this is my first post, does anyone know how to do this and find V?

Answers

Answer:

16

Step-by-step explanation:

8/1/2

8 divided by 1/2

8 x 2/1 = 16

Answer:

Step-by-step explanation:

P=8/V

1/2=8/V

do cross multiplication

2*8=V*1

16=V

How many feet are in 24 yards? 27 feet 72 feet 240 feet 288 feet

Answers

Answer:

72

Step-by-step explanation:

The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?

Answers

77 boxes I’m pretty sure

Answer:

This question would be answered by doing devision because you are splitting  the amount of cookies that should be delivered amongst 13 girls.

1,000/13

76.92307692

That is what came out in my calculator. I don't know if you need it in decimal or in a solid integer but if you were to round 76.9 you would get 77, it is always good to check your work so,

77 times 13

1001

That equals 1001 so that would help at least reach their goal of 1,000 boxes of cookies.

Step-by-step explanation:

I really hope this helps!

Solve for x.
5(x - 10) = 30 – 15x
O x= 1
O x = 4
O x = 5
O x = 8

Answers

Answer:

X=4

Step-by-step explanation:

Distribute  

5(x−10)=30−15x

5 − 5 0 = 3 0 − 1 5

Rearrange terms

5x−50=30−15x

5 − 5 0 = − 1 5 + 3 0

Add  5 0  to both sides of the equation

5x-50+50=-15x+30+50

Add  1 5  to both sides of the equation

5 + 1 5 = − 1 5 + 8 0 + 1 5 \

2 0 /2 0 = 8 0/ 2 0

= 4

Option B is correct, the value of x in the equation 5(x - 10) = 30 – 15x is 4,

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 5(x - 10) = 30 – 15x

Five times of x minus ten equal to thirty minus fifteen times of x.

x is the variable in the equation

Apply distributive property on left hand side

5x-50=30-15x

Take the variables on one side and constants on other side

5x+15x=30+50

Combine the like terms

20x=80

Divide both sides by 20

x=4

Hence, the value of x in the equation 5(x - 10) = 30 – 15x is 4, option B is correct.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Suppose the probability of failure in a binomial experiment is 0.25. What is
the probability of success?
A. 0.65
B. 0.85
C. 0.75
D. 0.35

Answers

Answer:

C: .75

Step-by-step explanation:

I really just subtracted

Can someone please help me ??

Answers

Answer:

D

Step-by-step explanation:

Let w represent the width

Length=18+W

And width=w

So area of a Triangle equals (length times width)divided by two

Area=(18+w)(w)/2

And the area is given to us as 189

180=(18w+w^2)/2

Multiplying both sides by two yields

360=18w+w^2

The subtract 360 from both sides to get

w^2 +18w-360=0

1. A baseball is thrown directly upward with
an initial velocity of 96 feet per second
from an initial height of 7 feet. The height
of the ball (in feet) after t seconds is given
by the formula h(t) = -16 t + 96t + 7.
a) After how many seconds will the ball
reach its maximum height?
b) What is that maximum height?

Answers

Answer:

a) The ball reaches it's maximum height after 3 seconds.

b) The maximum height of the ball is of 151 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

The height of the ball is modeled by:

[tex]h(t) = -16t^2 + 96t + 7[/tex]

So a quadratic equation with [tex]a = -16, b = 96, c = 7[/tex]

a) After how many seconds will the ball reach its maximum height?

t-value of the vertex. So

[tex]t_{v} = -\frac{96}{2(-16)} = 3[/tex]

The ball reaches it's maximum height after 3 seconds.

b) What is that maximum height?

h of the vertex.

[tex]\Delta = b^2 - 4ac = (96)^2 - 4(-16)(7) = 9664[/tex]

[tex]h_{v} = -\frac{9664}{4(-16)} = 604[/tex]

The maximum height of the ball is of 151 feet.

Suppose X-B(47,.2). Find the mean of x.
O A 10.1
OB. 9.4
OC 9.7
OD.8.9

Answers

Answer:

D. 8.9

Step-by-step explanation:

[tex]{{correct me if i am wrong}}}[/tex]

The answer would 8.9^^

Line s is the perpendicular bisector of JK. If line s intersects JK at point L
which of the following statements must be true?

Answers

Answer:

You don't have your options listed but if one of them is Point L is the midpoint of the segment, that would be your answer.

Step-by-step explanation:

Rita made $289 for 17 hours of work. At the same rate, how much would she make for 13 hours of work?​

Answers

Answer:$221

Step-by-step explanation:

Divide 289 by 17

Get 17, then multiply by 13.

Answer:

$221

Step-by-step explanation:

Use unit rates. First find out how much money Rita makes per hour. To do this, simply divide 289/17=17. Rita makes $17 per hour. We want to find out how much money she makes in 13 hours of work. So, we just need to multiply 17$*13=$221

Hope this helps!

6. The quotient of 5 and a number y, minus 10.

Answers

Answer:

5/y - 10

Step-by-step explanation:

I doubt the completeness of your question, however

the answer is

5/y - 10

HELP PLZZZ !!

3. Solve the equation by factoring.
C^2 - 4c = 0

Answers

Answer:

0,4

Step-by-step explanation:

See image below:)

In ΔXYZ, ∠Y is a right angle and sin X = 12/25 Find sec X, tan X, and cos Z in fraction and in decimal form. Round to the nearest hundredth, if necessary.

Answers

Answer:

In ΔXYZ

∠Y is a right angle ∠X and ∠Z are complementary anglessin X = 12/25

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

sec X = 1/cos X =  [tex]1/\sqrt{1- sin^2X} = 1/\sqrt{1 - 12^2/25^2} = 1/\sqrt{481}/25 = 25/\sqrt{481}[/tex]tan X = sin X / cos X = [tex]12/{25 : {\sqrt{481} }/25 = 12/{\sqrt{481} }[/tex]cos Z = sin X = 12/25

The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the equation of line s?

Answers

Answer:

[tex]y=-\frac{1}{4}x+2[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:[tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope

1) Determine the slope of line S using line R (m)

[tex]y=-\frac{1}{4} x+3[/tex]

We can identify clearly that the slope of the line is [tex]-\frac{1}{4}[/tex], as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be [tex]-\frac{1}{4}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{4}x+b[/tex]

2) Determine the y-intercept of line S (b)

[tex]y=-\frac{1}{4}x+b[/tex]

Plug in the given point (-4,3) and solve for b

[tex]3=-\frac{1}{4}(-4)+b\\3=1+b[/tex]

Subtract 1 from both sides to isolate b

[tex]3-1=1+b-1\\2=b[/tex]

Therefore, the y-intercept is 2. Plug this back into [tex]y=-\frac{1}{4}x+b[/tex]:

[tex]y=-\frac{1}{4}x+2[/tex]

I hope this helps!

Help me pls I do not know

Answers

So for each hat he sells he will make 5 dollars. 135 dollars for the booth divided by 5 dollar profit each hat gives us 27 hats to break even. Any hats sold after 27 will be profit.

What is the slope of the graph?

Answers

The slope of this graph is (-2/3)

-2/3

[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]

Please help if you really can help with this math question.
If a question asks “which of the following best estimates the area?” My answer was $4800. If it’s asking for estimation is it suppose to be $5000 ???

Answers

Answer:

I'm pretty sure it is suppsoed to be 4800.

Step-by-step explanation:

Three less than four times a number

Answers

Answer:

4n - 3

Step-by-step explanation:

let n  = random number

break the words down

4 times a number is 4n

three less means subtracting 3

so the final expression is 4n - 3

The line represented by y = 3x − 2 and a line perpendicular to it intersect at R(3, 7). What is the equation of the perpendicular line? y = − negative start fraction one over three end fractionx + 4 y = − negative start fraction one over three end fractionx + 8 y = start fraction one over three end fractionx + 6 y = −3x + 7

Answers

Answer:

y= -1/3(x) + 8

Step-by-step explanation:

slope of the 1st line = 3

slope of the line perpendicular to the first is its opposite reciprocal, so

slope of the 2nd line = -1/3

now we have a point and the slope of the perpendicular line, so we use the point slope formula to get:

y-7=-1/3(x-3)

y= -1/3(x) + 1 + 7

y= -1/3(x) + 8

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