Drag each example to the correct mathematical property listed.
Additive identity
Additive inverse
Multiplicative identity
Mulitplicative inverse
Examples:
a+0=a
a+(-a)=0
a times 1=a
a times 1/a=1

We have to find the unit rate, so we have to divide what you earned in interest by the amount of months.

120/8=15

So you earn $15 per month

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sorry if this doesn't help

Answer:

l hope this is helpful to you

Answer:

Step-by-step explanation:

I believe it is b

Answer: 60

Step-by-step explanation:

Find the total number of students.

In this case, there are 8 total students. Multiply 60 * 8 = 480

Add all the numbers up.

85 + 65 + 36 + 48 + 75 + 39 + 72 = 420

480 - 420 = 60

x = 60

40m to the 2nd power when doing the math its 40m to the 2nd power and then you get ur answer :)

Answer:

i got 61 ft2

Step-by-step explanation:

rectangle: 10 x 4=40

triangle: 7 x 6=42 x 1/2= 21

40+21=61

also its says ft in each measurement

61 ft to the second power (61 ft2)

-kenma #3

(hopefully im right this time)

Survey every 4th student who walks into the cafeteria.

Answer:

3w² = 243

Step-by-step explanation:

Width = w

Length = 3w

Area = 243 square units

length *width = 243

3w * w = 243

3w² = 243

The equation that you can used to determine the width of the rectangle with the given area is: 3w² = 243

Area = (length)(width)

The given dimensions are:

The equation to se in finding the width (w) of the rectangle will be:

3w(w) = 243

3w² = 243

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Answer:

8 and 4

Step-by-step explanation:  have a good day g

Answer:

-6, -4 , -3 , and - 1 only.

Step-by-step explanation:

−12x + 3 ≥  5

-12x  ≥  5 - 3

-12x  ≥  2

Divide both sides by -12:

x ≤ -1/6    (Note the inequality sign flips because we are dividing by a negative value).

So considering the given set, all the values except 0 and 2 fit this inequality.

Answer:

Step-by-step explanation:

if C is the right angle,

AB is the hypotenuse

AB^2=AC^2+BC^2

AC^2=13^2-5^2

AC^2=169-25=144

AC=[tex]\sqrt{144}[/tex]=12

AC=12

5km :20min

? km :100min

here you do cross multiplication.

SOLUTION:

5×100=500

500÷20=25KM

DONE!!!!

Step-by-step explanation:

This is called direct propotion where you do cross multiplication!!

keep that in mind

Answer:

a. 3

Step-by-step explanation:

[tex]6 {x}^{2} - 3x + 18 \\ \\ = 3(2 {x}^{2} - x + 6) \\ \\ GCF = 3[/tex]

the greatest common factor of 6x2 – 3x + 18 is 3.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life

Here, given that,

6x2 – 3x + 18

=3×(2x2-x+6)

Hence, the greatest common factor of 6x2 – 3x + 18 is 3.

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Answer:

As per above two statements we have:

and

Answer:

y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle

z=90/2=45

inscribed angle is half of central angle of the cyclic quadrilateral

Answer:

area = 92 yd²

Step-by-step explanation:

13x8 = 104

3x8x0.5 = 12

104 - 12 = 92 yd²

Answer:

Step-by-step explanation:

Answer:

Sure, where is the activity

Answer:

where is it?

Step-by-step explanation:

Answer:

4p + 12

Step-by-step explanation:

p + p+2 + p+4 + p+6 = 4p + 12

Answer:

5 < 8

-4 < 0

0 < 4

-5 < 5

-9 > -19

-5 > -8

Step-by-step explanation:

Remember, the "Alligator" or better known as the "Packman" symbol (  >  <  )

It will always want to "eat" the bigger number. so, 8 is bigger than five, so the "Packman" will want to go after the bigger number. 5 < 8

Answer:

Answer:

4 m

Step-by-step explanation:

I took the test

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The volume of a cone (V) is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here V = 151 and r = diameter ÷ 2 = 12 ÷ 2 = 6 , then

[tex]\frac{1}{3}[/tex] πr²h = 151 ( multiply both sides by 3 to clear the fraction )

πr²h = 453 , that is

3.14 × 6² × h = 453

3.14 × 36h = 453

113.04h = 453 ( divide both sides by 113.04 )

h  ≈ 4 m ( to the nearest metre ) → B

Answer:

Bottom 20% percentile

Step-by-step explanation:

4/20= .2

Answer :

Given : A and B are complementary angles. B and C are complementary angles.

Prove : A C

I have attached a picture of me doing it. Hope this helps, thank you :) !!

Answer:

5.625 pounds or 5 5/8 pounds

Step-by-step explanation:

(2 1/4)/24 = weight of one golf ball = 0.09375

0.09375 x 60 = 5.625 pounds or 5 5/8 pounds

Answer:

5.625 pounds or 5 5/8 pounds as a fraction

Step-by-step explanation:

Answer:

The radius is 8.5

Step-by-step explanation:

Mathematically, the radius of a circle is the distance from the center of the circle to its circumference

Thus, as we have here;

The two marked lengths are radii of the inner inscribed circle and this means that they are equal in length

thus;

x + 6 = 5x-4

5x - x = 6 + 4

4x = 10

x = 10/4

x = 2.5

Now, to get the radius length, substitute the value of x in any of the lengths

from x + 6

2.5 + 6 = 8.5

Answer:

Possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]

Step-by-step explanation:

According to triangle inequality theorem,

length of one side is less than the sum of remaining two sides.

Also,

[tex]XY=11\,\,cm\\YZ=15\,\,cm\\XZ>20\,\,cm[/tex]

Therefore,

[tex]20<XZ<15+11\\20<XZ<26[/tex]

The length of [tex]XZ[/tex] is in whole centimeters.

Therefore, possible lengths of [tex]XZ[/tex] are [tex]21\,\,cm,22\,\,cm,23\,\,cm,24\,\,cm,25\,\,cm[/tex]

Answer:

The difference is -2x10 is basically-2 times x times 10.

Step-by-step explanation:

Cuz i said so

The x values that makes the given inequality true are -10, -9, -8, -7 and -6.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2x>10.

Divide -2 on both the sides of an inequality, we get

x<-5

So, the solution is {.......-10, -9, -8, -7, -6}

Hence, the x values that makes the given inequality true are -10, -9, -8, -7 and -6.

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Answer:

$5

Step-by-step explanation:

$14 x 30% (0.30) = $4.2

$14 + $4.2 = $18.2

[tex]\frac{18.2}{4}[/tex] = 4.55

Round to the nearest dollar:

4.55 = 5

Answer: A.26

Step-by-step explanation:

= 3f+g

= 3 (6)+8

=26

Answer:

(a) The equation for the number of bacteria at time t ≥ 0 is [tex]y = 200\cdot e^{0.5 \cdot t }[/tex]

(b) The average population in the bacteria for 0 ≤ t ≤ 10 is 29,482 bacteria

(c)  The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour

Step-by-step explanation:

(a) The given rate of growth of the bacteria population is;

[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]

The initial amount of bacteria = 200

At time, t ≥ 0, we have;

[tex]\dfrac{dy}{y} = 0.5 \cdot dt[/tex]

[tex]\int\limits {\dfrac{dy}{y} } = \int\limits {0.5} \, dt[/tex]

ln(y) = 0.5·t + C

[tex]y = e^{0.5 \cdot t + C}[/tex]

[tex]y = C_1 \cdot e^{0.5 \cdot t }[/tex]

When, t = 0, y = 200, we have;

[tex]200 = C_1 \cdot e^{0.5 \times 0 } = C_1[/tex]

C₁ = 200

The equation for the number of bacteria at time t ≥ 0 is therefore given as follows;

[tex]y = 200\cdot e^{0.5 \cdot t }[/tex]

(b) The expression for the average number of bacteria in the population for 0 ≤ t ≤ 10 is given as follows;

[tex]y = \int\limits^t_0 {0.5 \cdot y} \, dt[/tex]

[tex]y = \int\limits^{10}_0 {0.5 \cdot 200\cdot e^{0.5 \cdot t }} \, dt = \left[200\cdot e^{0.5 \cdot t }\right]^{10}_0 \approx 2,9682.6 - 200 = 29,482.6[/tex]

The average population in the bacteria for 0 ≤ t ≤ 10 is therefore, y = 29,482

(c)  The average rate of growth after 10 hours of growth is given as follows;

[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]

[tex]\dfrac{dy}{dt} = 0.5 \cdot 200\cdot e^{0.5 \cdot 10 } = 14,841.32 \ Bacteria/hour[/tex]

The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour

Population functions can either represent growth or decays.

The given parameter is:

[tex]\frac{dy}{dt}= 0.5y[/tex]

(a) Solve for y

We have:

[tex]\frac{dy}{dt}= 0.5y[/tex]

Integrate both sides

[tex]\int \frac{dy}{dt}= \int 0.5y[/tex]

Divide both sides by y, and multiply both sides by dt

[tex]\int \frac{dy}{y}= \int 0.5\ dt[/tex]

Integrate both sides of the equation

[tex]\ln(y) = 0.5t +c[/tex]

Take the exponent of both sides

[tex]y = e^{0.5t +c}[/tex]

This gives

[tex]y = ce^{0.5t}[/tex]

When t = 0, and y = 200.

So, we have:

[tex]200 = ce^{0.5 \times 0}[/tex]

[tex]200 = ce^{0}[/tex]

Evaluate the exponent

[tex]200 = c[/tex]

Rewrite as:

[tex]c = 200[/tex]

Substitute 200 for c in [tex]y = ce^{0.5t}[/tex]

[tex]y = 200e^{0.5t}[/tex]

Hence, the equation for y is [tex]y = 200e^{0.5t}[/tex]

(b) The average number of bacterial for 0 ≤ t ≤ 10.

The average value of the function is calculated as:

[tex]y' = y(10) - y(0)[/tex]

Calculate y(0) and y(10)

[tex]y = 200e^{0.5t}[/tex]

[tex]y(0) = 200e^{0.5(0)}= 200[/tex]

[tex]y(10) = 200e^{0.5\times 10} =29682.6318205[/tex]

So, we have

[tex]y' = y(10) - y(0)[/tex]

[tex]y' = 29682.6318205 - 200[/tex]

[tex]y' = 29482.6318205}[/tex]

[tex]y' = 29483[/tex]

Hence, The average number of bacterial for 0 ≤ t ≤ 10 is 29483

(c) The average rate over the first 10 hours of growth

We have:

[tex]\frac{dy}{dt}= 0.5y[/tex]

Substitute [tex]y = 200e^{0.5t}[/tex]

[tex]\frac{dy}{dt}= 0.5 \times 200e^{0.5t}[/tex]

[tex]\frac{dy}{dt}= 100e^{0.5t}[/tex]

When t = 10, we have:

[tex]\frac{dy}{dt}= 100e^{0.5 \times 10}[/tex]

[tex]\frac{dy}{dt}= 100e^{5}[/tex]

[tex]\frac{dy}{dt}= 14841[/tex]

Hence, the average rate over the first 10 hours of growth is 14841

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Answer:

X=9

Step-by-step explanation:

I know this because you can find the answer by doing 28 - 10 which equals 18 and 2 times 9 gets you 18 and would make the equation

( 2 times 9) + 10= 28

18 + 10=28