Mrs. Childress has 12 packs of pencils and 8 packs
of cap erasers. What is the FEWEST amount of each
she will need to buy in order to have an equal
number packs of both pencils and cap erasers?

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Commutativity justifies the statement, of If n is a multiple of 8, then n is even. However, n is not even. Therefore, n is not a multiple of 8.

Commutativity is used in Maths equations and describes sums that can be moved around and will still give the same answer.

'Commutative' comes from the word 'commute' which means to move and travel around, so equations that are commutative have numbers that can be moved within the equation.

commutative law, in mathematics, is either of two laws relating to number operations of addition and multiplication that are stated symbolically as a + b = b + a and ab = ba.

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Answer: 9 seconds

hope it was helpful (^ = ^)

Step-by-step explanation:

x=number of seconds

100m/6s=150/x

Cross multiply and make x the subject

100m(x)=150m(6s)

x=(150m x 6s)/100m = 9s

therefore it would take the cheetah 9 seconds to run the 150m

Answer:

C

Step-by-step explanation:

The answer is c

Answer:

-0.8+0.7+0.4+0.3=-0.1+0.5

Answer:

I believe that her goal is 20 pages because 75% of 20 is 15.

Step-by-step explanation:

You need 12 and it cost 50k

To visualize the solution of a system of equations, a graph is ideal, as we can see whether the functions intersect or not.

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the context of the problem. The pair/tuple/... containing these values is called the solution of the system.

The equations that construct a system are functions, and the solution of a system is at the point of intersection of these functions. The intersection of two points is easier to visualize graphically then calculating, hence a graph is ideal, as we can see whether the functions intersect or not, while for the function we would have to calculate.

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Answer:

mom this u?

Step-by-step explanation:

When rate is expressed as a quantity of 1, is a unit rate. Let's look at the options, A, B and C are expressed per 2 or 3, the only option that is expressed as a quantity of 1 is the option D, that is expressed per week.

The right answer is D. 18 miles driven in a week

Answer:

y=96

Step-by-step explanation:

y=4^2(2+4)

y=16(2+4)

y=16(6)

y=96

Answer:

y=96

Step-by-step explanation:

Important information:

y=x^2(2+4)

x=4

Explanation/Solution:

y=x^2(2+4)

y=4^2(2+4)

y=16 (2+4)

y= 16 · 6 =

y=96

Answer:

29

Step-by-step explanation:

Given the expression \(75_8 = 23_x\) where x is the unknown base:

\(75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29\)

Hence the missing base is 29

About 14,586 will the population be in 4 years.

About 9,872 was the population 4 years ago.

Assuming an exponential function

\(f(x) = 12,000(1 + 0. 05)^x\)

(Where x is the number of years and f(x) is the population of fish in a lake.)

Put x = 4 in the function to determine the population in 4 years:

\(If, x=4,\\f(4) = 12,000(1 + 0. 05)^4\\f(4) = 12,000(1 . 05)^4\\f(4) = 12,000(1.21550625)\\f(4) = 14586.075\\f(4) = 14586approx\)

Add x = -4 to the function to determine the population four years ago:

\(If, x=-4,\\f(-4) = 12,000(1 + 0. 05)^{-4}\\f(-4) = 12,000(1. 05)^{-4}\\f(-4) = 12,000(0.8227024748)\\f(4) = 9872.429698\\f(-4) = 9872approx\)

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Answer:

The angle of elevation of the sun to the nearest hundredth of a degree is 44.07°

Step-by-step explanation:

Here is the complete question:

A building 86.53 feet tall has a shadow that is 89.39 feet long. Find the angle of elevation of the sun to the nearest hundredth of a degree.

Step-by-step explanation:

Please see the attachment below for an illustrative diagram:

From the diagram

/AC/ is the height of the building

/CB/ is the length of the shadow

/AC/ = 86.53 feet

/CB/ 89.39 feet

θ is the angle of elevation

Consider triangle ABC

/AC/ is the opposite

and /CB/ is the adjacent

From

tanθ =\(\frac{Opposite}{Adjacent}\)

Then,

tanθ = \(\frac{/AC/}{/CB/}\)

tanθ = \(\frac{86.53}{89.39}\)

tanθ = 0.9680

∴θ = tan⁻¹(0.9680)

θ = 44.0686°

θ = 44.07° (to the nearest hundredth of a degree)

Hence, the angle of elevation of the sun to the nearest hundredth of a degree is 44.07°

Answer:

4.86·10⁷

Step-by-step explanation:

Answer:

4.86 x10^7

Step-by-step explanation:

1. Must be between 1 and 10, the number cannot be 10.

2. Count decimal places to get to the dot.

3. That will be the power at the top of the 10.

4. If number is small, that power will be negative, but positive if number is big. E.g. 0.0001 (small) & 10000 (big)

4.86 x10^7

Hope this helps!

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Answer:

(-4,-8)

Step-by-step explanation:

Got It Right On Edge

Answer: Option B

(B) (–4, –8)

Step-by-step explanation:

Answer:

1761 square meters

Step-by-step explanation:no, thanks.

Answer:

alternate interior angles are congruent

The time of flight = 4 hours

The distance covered= 1800 miles

The speed of the jet = 525 mph

The formula for speed is distance covered divided by time taken;

In this case, confirming the speed of the jet using the distance covered and time taken will be :

Speed of jet expected should be : 1800/4 = 450 mph

However, in the Jetstream, the speed was 525 mph

This means there was an increased in speed in the stream . This should be the speed of wind.

Calculating speed against the jet : 525 - 450 = 75 mph

a). The realtionship for speed of jet in the Jetstream will be ;

Speed = Distance covered/ time taken + 75 mph

525 = 1800/4 + 75 mph

525= D/t + 75

S = D/t + 75 ------------where S is speed of jet in the Jetstream, D is distance covered and t is time take to travel

b). The wind was 75 mph

The answers to all parts shown below.

A way to express how much force one charged body is applying to another. According to tradition, imaginary lines of force or electric field lines start on positive charges and end on negative charges.

We construct the equations at the equilibrium point using Newton's second law for the sphere. We'll assume that plate 1 is on the left for this exercise.

Y Axis: Y= -W = 0 = W

X axis: X= - \(F_{e_2}\) + Tₓ = 0

Let's utilize trigonometry to determine the tension's component parts. We gauge the angle in relation to the vertical

sin θ = Tₓ / T

cos θ = \(T_{y}\) / t

Tₓ = T sin θ

\(T_{y}\) = T cos θ

Now, using Gauss's law

F = ∫ E. dA

The flow is towards both sides of the plate in this instance, and the scalar product is reduced to the algebraic product.

F = 2E A = \(q_{int}\) / ε₀

As, the surface charge density

σ = \(q_{int}\) / A

2E A = σ A /ε₀

E = σ / 2ε₀

T cos θ = mg

- q σ₁ / 2ε₀  - q σ₂ /2ε₀  + T sinθ = 0

we introduce t in the second equations

- q /2 ε₀  (σ₁ + σ₂) + (mg / cos θ) sin θ = 0

mg tan θ = q /2ε₀   (σ₁ + σ₂)

θ = tan -1 (q / 2ε₀ mg (σ₁ + σ₂)

we have mass = 0.26 g = 0.26 10⁻³ kg

and, charge density on plate 2, suppose ab =  10⁻⁶ C / m²

Then, θ = tan⁻¹ (9.0 10⁻¹⁰ (30 + 10) 10⁻⁶ / (2  (6.25 10⁻¹² *0.26 10⁻³ 9.8))

θ = tan⁻¹ 8.3 10⁻¹)

θ = 39.7º

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Answer:

11.125 meters i think it helps

Step-by-step explanation:

a. The PDF for battery life when the primary use is talk time is f(x) = 0.05e^(-0.05x)

b. The probability that the battery charge will last no more than 15 hours when the primary use is talk time is 0.393

c. The probability that the battery charge will last more than 20 hours when the primary use is talk time is 0.4493

d. The probability that the battery charge will last no more than 5 hours when the primary use is Internet applications is 0.3935

a. The probability density function (PDF) for battery life when the primary use is talk time can be modeled using the exponential distribution, given by

f(x) = λe^(-λx)

where λ is the rate parameter, which can be calculated as the reciprocal of the mean battery life. Since the mean battery life is 20 hours, λ = 1/20 = 0.05. Therefore, the PDF for talk time battery life is

f(x) = 0.05e^(-0.05x)

b. To find the probability that the battery charge will last no more than 15 hours when its primary use is talk time, we need to calculate the cumulative distribution function (CDF) and evaluate it at x = 15

F(x) = ∫[0,x] f(t) dt

F(15) = ∫[0,15] 0.05e^(-0.05t) dt ≈ 0.393

Therefore, the probability that the battery charge will last no more than 15 hours when its primary use is talk time is 0.393, or 39.3%.

c. To find the probability that the battery charge will last more than 20 hours when its primary use is talk time, we need to subtract the probability that it will last no more than 20 hours from 1

P(X > 20) = 1 - P(X ≤ 20) = 1 - F(20)

where F(x) is the CDF of the battery life distribution. From part b, we know that F(15) ≈ 0.393, so we can use this value to calculate F(20)

F(20) = ∫[0,20] 0.05e^(-0.05t) dt ≈ 0.5507

Therefore, P(X > 20) ≈ 1 - 0.5507 ≈ 0.4493, or 44.9%.

d. The PDF for battery life when the phone is primarily used for Internet applications can also be modeled using the exponential distribution. From the problem statement, we know that the mean battery life for this use is 7 hours, so the rate parameter is λ = 1/7 = 0.1429. Therefore, the PDF for Internet use battery life is

f(x) = 0.1429e^(-0.1429x)

To find the probability that the battery charge will last no more than 5 hours when its primary use is Internet applications, we can calculate the CDF

F(x) = ∫[0,x] f(t) dt

F(5) = ∫[0,5] 0.1429e^(-0.1429t) dt ≈ 0.3935

Therefore, the probability that the battery charge will last no more than 5 hours when its primary use is Internet applications is 0.3935

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Answer:

get all the varibles on one side

Step-by-step explanation:

mark me as brainliest plz thx

Answer:

4.5*10^(4)*(6.8*10^(-8)=3.06*10^-3

(2.8*10^(2)*(6.5*10^(-7)=1.82*10^-4

((5.6*10^(-3))*(7.7*10^(-9)))/((8*10^(-2))*(3.5*10^(-6)))=1.54*10^-4

then the other fraction one equals 9.45*10^-4

Step-by-step explanation:

Solving the first expression, we have:

(4.5⋅10^4)⋅(6.6⋅10^−8)

=30.6⋅10^−4

=3.06⋅10^−3

So the first expression goes into the second box.

For the second one, we have:

(2.8⋅10^2)⋅(6.5⋅10^−7)

=18.2⋅10^−5

=1.82⋅10^−4

So the second expression goes into the first box.

Put the third expression into the fourth box and the fourth expression into the third box

Answer:

x=1

Step-by-step explanation:

x+6=2x+5

move the x to the right-hand side, and the 5 to the left-hand side (the sign will also change from a + to a -

6-5=2x-x

therefore, you will get:

x=1

Answer:

Step-by-step explanation:

x + 6 = 2x + 5

6 - 5 = 2x - x

-1 = x

x = 1

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

check

1 + 6 = 2 × 1 + 5 (remember pemdas)

7 = 7

the answer is good

Answer:

(48b 2) 3

Step-by-step explanation:

The answer is  A) The simplified expression is a polynomial. & B)The simplified expression has a constant term.

Polynomials are sums of phrases of the form okay⋅xⁿ, where ok is any range and n is an effective integer. as an instance, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, diploma, fashionable form, monomial, binomial and trinomial.

Here, we have,

A polynomial is described as an expression that consists of variables, constants, and exponents, which can be mixed with the usage of mathematical operations including addition, subtraction, multiplication, and department (No department operation by way of a variable).

t³(8 + 9t) - (t² + 4)(2 - 3t)

=   8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)

=   8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t

=   9t⁴ + 11t³ - 2t² + 12t - 8.

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complete question;

T^3(8 + 9t) - (t2 + 4) (2 – 3t)

The simplified expression is a polynomial.

The simplified expression has a constant term.

The simplified expression is cubic.

The simplified expression has four terms.

The simplified expression is a trinomial

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation: