In three years, 30% of a radioactive element decays. Find its half-life. (Round your answer to one decimal place.) yr

Answer:

D. g(x) is a reflection of f(x) over the x-axis.

Step-by-step explanation:

Given

f(x) = 2x²

g(x) = -2x²

Required

Determine the difference between f(x) and g(x)

Start by expanding g(x)

g(x) = -2x²

g(x) = -1 * 2x²

Substitute 2x² for f(x)

g(x) = -1 * f(x)

g(x) = -f(x)

Using the format (x,y):

Take for instance x = 2

f(x) = 2x² = 2 * 2² = 2 * 4 = 8

This means (x,y) = (2,8)

g(x) = -f(x)= -8

This means that (2,-8)

Notice that only the y value changed in both cases from 8 to -8

From the above expression, g(x) = -f(x) and illustration of when x = 2

This implies that g(x) is a reflection of f(x) along the x axis..

From the list of given options, the correct answer is D.

Answer:

Step-by-step explanation:

"Which ordered pair" implies that there were several answer choices for this problem.  It's important that you share such answer choices.

2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x

If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation.  There are an infinite number of such solutions.  All lie on the line y = (8/5)x.

Answer:

Step-by-step explanation:

[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]

First of all try to see if there are fractions in the equation .

If so try to find the LCM of the fractions and multiply the equation through by the LCM.

If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction

If there are brackets try to solve the terms in the bracket first

For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2

That's

[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]

[tex] - 4 - 2n = - 34[/tex]

Try to make the unknown variable the subject

That's

[tex] - 2n = - 34 + 4[/tex]

Simplify

[tex] - 2n = - 30[/tex]

Divide both sides by -2 to make n stand alone

That's

[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]

We have the final answer as

Hope this helps you

Answer:

x = 162 degrees.

Step-by-step explanation:

m < RSP = 180 - 72

= 106 degrees (adjacent angles)

m < Q = m < RSP ( Opposite angles in a parallelogram are equal).

So m < Q = 180 degrees.

m < x = 360 - 90 - 108

= 360 - 198

= 162 degrees.

Using the appropriate angle theorems, the value of the angle, x in the parallelogram would be 162°

At angle S :

S + 72 = 180 (sum of straight line angles)

S = 180° - 72°

S = 108°

S = Q (opposite angles of a parallelogram)

Q = 108°

Hence,

108° + x + 90 = 360

x = 360 - (108 + 90)

x = 162°

Hence, the value of x is 162°

Learn more : https://brainly.com/question/16144029

Answer:

-1=-2

4=-7

Step-by-step explanation:

for x=-1

y=(-1^2)+(2*-1)+1

y=-1-2+1

y=-2

for x=1

y= (-1^2)+(2*1)+1

y= -1+2+1

y=2

for x=4

y=(-4^2)+(2*4)+1

y=-16+8+1

y=-7

Answer:You cant get someone to do all of this try doing a few or getting help from someone older that's what I did

I asked help for one problem and the explanation and now I understand how they did it so the other problems I can do now

It's better to make an effort and try doing some of them instead of asking someone to do all of it

Because when the test comes it won't be that easy so next time just try putting a few so that way you can try understanding it and you can apply it to similar problems

Answer:

Don't ask someone to do this if your question is a test

Step-by-step explanation:

Negative Correlation - These variables point towards the left making them negative.

Positive Correlation - These variables point towards the right making them positive.

No Correlation - These variables have the same x coordinates or same y coordinates.

Hope that helped!!! k

Answer:

3/4 of the whole day(24 hours)

Step-by-step explanation:

1/3 of 24 hours equal to 8 hours. He slept for 8 hours. So his waking time equals 24-8=16

5/8 of his waking time (16 hours ) equal to 10 hours.

now total time spent in his house 10 + 8 = 18

in fraction 18/24 = 3/4

He slept 1/3 of the day, and is awake 2/3 of the day (note that 1/3 + 2/3 = 3/3 = 1)

2/3 of 5/8 = (2/3)*(5/8) = (2*5)/(3*8) = 10/24 = 5/12 of the day is spent at home when he is awake

Add 1/3 and 5/12 to get

1/3 + 5/12 = 4/12 + 5/12 = (4+5)/12 = 9/12 = 3/4

He spent 3/4 of a whole day at home (equivalent to 18 hours)

Answer:

DE = 13.4 cm  (to 1 decimal place)

Step-by-step explanation:

Given: ABCD is a square

BC = AC = 12 cm    (opposite sides of a square are congruent)

E is midpoint of BC   (given)

BE = EC  = 12/2 = 6 cm

CD = AB = 12 cm   (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

DE = sqrt(EC^2+CD^2)    ............. pythagorean theorem

= sqrt(6^2+12^2)

= sqrt ( 36+144 )

= sqrt (180)

= 2 sqrt(45)

= 13.416 (to three dec. places)

Answer:

SA = 108 ft^2

Step-by-step explanation:

The front and back faces are triangles with 4 ft base and 3 ft height.

The three sides are rectangles with dimensions 4 ft by 8 ft, 8 ft by 5 ft, and 3 ft by 8 ft.

The surface area is the sum of the areas of the two triangles and the three rectangles.

SA = 2 * (1/2)(4 ft * 3 ft) + 4 ft * 8 ft + 8 ft * 5 ft + 3 ft * 8 ft

SA = 12 ft^2 + 32 ft^2 + 40 ft^2 + 24 ft^2

SA = 108 ft^2

Answer:

460256

Step-by-step explanation:

35900 books equal to 7.8% of all copies sold

Total number of books:

Answer is 460256 in whole numbers

Answer:

it's 40

Step-by-step explanation:

because, there's five numbers on each side of 40

Answer:

Step-by-step explanation:40

Answer:

f(x) is quadratic. g(x) and h(x) are linear.

Step-by-step explanation:

So we have the three functions:

[tex]f(x)=4x^2\\g(x)=1-x\\h(x)=32x[/tex]

Linear functions are polynomials in which the highest degree is 1.

Quadratic functions are polynomials in which the highest degree is 2.

And exponential functions usually have a variable in the exponent (e.g. 2^x).

For f(x), the highest degree is 2. Thus, f(x) is a quadratic function.

For g(x), the highest degree is 1 and there are no variables in the exponent. Thus, g(x) is a linear function.

Similarly, for h(x), the highest degree is 1 and there are no variables in the exponents, so h(x) is also a linear function.

Answer:

The probability that a 57-year-old was involved in an accident is 0.0656.

Step-by-step explanation:

We are given the data for the drivers involved in an accident of different age groups.

And we have to find the probability that a 57-year-old was involved in an accident.

From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.

Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).

The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.

So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).

The probability that a 57-year-old was involved in an accident is given by;

                        = [tex]\frac{1990}{30,355}[/tex]

                        = [tex]\frac{398}{6071}[/tex] = 0.0656 or 6.56%

Answer:

y=¾(4x-20)

y=3x-15

Final answer= y - 3(x+12)

=y - 3x-36

=3x-15-3x-36

= -51

Answer:

The answer is -51

Step-by-step explanation:

Answer:

[tex]\boxed{to\ explain\ the\ most\ important\ ideas\ in\ the\ text}[/tex]

Step-by-step explanation:

The purpose of the central idea is to explain the central/most important ideas in the theme. Central idea provides the explanation of the most important i.e. central ideas of the text. So, the central idea provides the explanation of central ideas of the text as the name indicates.

Answer:

to explain the most important ideas in the text

Step-by-step explanation:

the person above me is corrwct

Answer:

hope this is ok...

1. a) f(h) = -4

  b) f(h) = 4

  c) f(h) = -6

  d) f(h) = -8

2. a) f(h) = 5

   b) f(h) = 11

   c) f(h) = 3

   d) f(h) = -1

3. a) f(x) = 11

   b) f(x) = -5

   c) f(x) = -245

   d) f(x) = -89

4. f(56) = -29.35 or -29.346046

5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)

Step-by-step explanation:

1. f(h) = | h - 10 |

a) f(h) = | 6 - 10 | = -4

b) f(h) = | 14 - 10 | = 4

c) f(h) = | 4 - 10 | = -6

d) f(h) = | 2 - 10 | = -8

2. f(h) = | h - 2 |

a) f(h) = | 7 - 2 | = 5

b) f(h) = | 13 - 2 | = 11

c) f(h) = | 5 - 2 | = 3

d) f(h) = | 1 - 2 | = -1

3. f(x) = x² + 11

a) f(x) = -0² + 11 = 11

b) f(x) = -4² + 11 = -5

c) f(x) = -16² + 11 = -245

d) f(x) = -10² + 11 = -89

4. f(x) = 8√x - 31

a) f(56) = 8√56 - 31 = -29.35

5. f(x) = 2√x - 56

a) f(200) = 2√200 -56 = -41.86

Please mark Brainliest....

Answer:

The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o

Answer:

20%

Step-by-step explanation:

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula for a geometric sequence.

The common ratio is 3, and 2 is the 1st term.

Thus, we have a1=2(3)^(n-1)

Hope this helps :)

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula

for a geometric sequence.

The common ratio is 3, and 2 is the 1st

term.

Thus, we have a1=2(3)^(n-1)

Answer:

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Step-by-step explanation:

[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]

Annually= Yearly, A year has 365 days.

They work 40 hours a week, 8*5=40.

There are aprox, 10 holidays in a year. (You can change this in your work)

They have 2 weeks unpaid vacation, 14 days.

There are aprox, 52 weeks in a year. (You can change this in your work)

52 weeks - 2 weeks of unpaid vacation= 50 weeks.

Now Let's calculate the weekly income, for

$8.10*40=$324 per week.

$8.25*40=$330 per week.

$8.45*40=$338  per week.

$8.75*40=$350 per week.

$9.00*40=$360  per week.

$9.25*40=$370 per week.

$10.50*40=$420  per week.

Now Let's calculate the annually income, for each clerk.

324*50=16,200 + 648=16,848

330*50=16,500 + 660=17,160

338*50=16,900 + 676=17,576

350*50=17,500  + 700=18,200

360*50=18,000 + 720=18,720

370*50=18,500 + 740=19,240

420*50=21,000 + 840=21,840

Now the total annual payroll=

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Answer:

[tex]$\[x^2 + 22x + 121\]$[/tex]

Step-by-step explanation:

Given

[tex]$\[x^2 + 22x + \underline{~~~~}.\]$[/tex]

Required

Fill in the gap

Represent the blank with k

[tex]$\[x^2 + 22x + k\]$[/tex]

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

Divide the coefficient by 2

[tex]Result = 22/2[/tex]

[tex]Result = 11[/tex]

Take the square of this result, to give k

[tex]k= 11^2[/tex]

[tex]k= 121[/tex]

Substitute 121 for k

[tex]$\[x^2 + 22x + 121\]$[/tex]

The expression can be factorized as follows;

[tex]x^2 + 11x + 11x + 121[/tex]

[tex]x(x + 11)+11(x+11)[/tex]

[tex](x+11)(x+11)[/tex]

[tex](x+11)^2[/tex]

Hence, the quadratic expression is [tex]$\[x^2 + 22x + 121\]$[/tex]

Answer:

I believe it's (4^2)*12

Step-by-step explanation:

To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes

Hope this helps! ∪ω∪

Using it's concept, it is found that the exterior angles of the triangle are given as follows:

B. <5

C. <4

The exterior angles of a triangle are the angles that are outside the triangle.

In this problem, the angles are 4 and 5, which means that options B and C are correct.

More can be learned about the exterior angles of a triangle at https://brainly.com/question/2546141

#SPJ1

Answer:

A. The students tend to have fewer siblings than the teachers.

Step-by-step explanation:

First we need to draw the dot plots correctly. If you count both sides they have 20 each.

Now, clearly none have fewer nobody here yet has more or less but going on to the next step.

Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14.  And so on.

On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.

So the answer is A. The students tend to have fewer siblings than the teachers.

Answer:

The sum is A

Step-by-step explanation:

Just ma duty to help the community

Answer:

[tex]\boxed{x=24}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{32} =\frac{15}{20}[/tex]

[tex]\sf Cross \ multiply.[/tex]

[tex]20 \times x=32 \times 15[/tex]

[tex]20x=480[/tex]

[tex]\sf Divide \ both \ sides \ by \ 20.[/tex]

[tex]\displaystyle \frac{20x}{20} =\frac{480}{20}[/tex]

[tex]x=24[/tex]

Answer: x = 24

Step-by-step explanation: To solve for x in the given proportion, we use the means-extremes property.

The product of the extremes, (x)(20),

equals the product of the means, (32)(15).

So we have (x)(20) or 20x equals (32)(15) or 480.

So we have 20x = 480.

Dividing both sides by 20, x = 24.

Answer:

12 ft²

Step-by-step explanation:

area = length * width

area = 4 ft * 3 ft

area = 12 ft²

Answer:

B

Step-by-step explanation:

Answer: A, B and, C are incorrect, what is D?

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

By the theorem of intersecting secant and tangent out side of a circle, we have:

[tex] {60}^{2} = 48 \times (48 + x) \\ 3600 = 48 \times (48 + x) \\ \frac{3600}{48} = 48 + x \\ 75 = 48 + x \\ 75 - 48 = x \\ x = 27 \\ [/tex]

Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

Segment TA is congruent ts segment EF

Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

Answer: cannot be determined

Step-by-step explanation:

there isnt a rule SSS