The ratio of the number of dogs to the number of cats in the pet store is 6 to 4. There are 60 cats in the pet store. How many dogs are in the pet store?

Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

The value for interest expense that Leach will recognize for the year ending December 31, Year 1 is $6900.

What is interest?

Interest is the sum of money paid for using someone else's funds. You must pay interest when you borrow money from lenders. You receive interest when you lend money to borrowers. It could be stated in terms of money or the rate of payment.

The amount of interest expense Leach will recognize for the year ending December 31, Year 1 is calculated as -

Amount borrowed × annual interest

Substitute the values in the expression -

115,000 × 6%

115,000 × 0.06

6,900

Therefore, the amount is obtained as $6,900.

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Leach Company borrowed $115,000 cash by issuing a note payable on June 1, Year 1. The note had an 6 percent annual rate of interest and a one-year term to maturity.

Required

a. What amount of interest expense will Leach recognize for the year ending December 31, Year 1?

Answer:

f'(x) = -10

Step-by-step explanation:

derivative of -10x is 1(-10)x⁰ = -10

derivative of -6 is 0.

Answer:

- x + 6 / 10

Step-by-step explanation:

^−1() means the function inverse to . More often people write ^−1(), they usually take x as the independent variable for f and y as the independent variable for ^−1, like =() and =^−1().

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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Answer:

Graph B on Edg

Step-by-step explanation:

Starts at 4 goes down to 2 then back up to 4

Answer:

Step-by-step explanation:

<A and <B are alternate interior angles.

So, <A = <B

plugging the values

\(8x - 10 = 3x + 90\)

Move variable to L.H.S and change it's sign.

Similarly, Move constant to R.H.S and change it's sign

\(8x - 3x = 90 + 10\)

Collect like terms

\(5x = 90 + 10\)

Calculate the sum

\(5x = 100\)

Divide both sides of the equation by 5

\( \frac{5x}{5} = \frac{100}{5} \)

Calculate

\(x = 20\)

Now, Let's find the measure of <B

\( < b = 3x + 90\)

Plugging the value of X

\( = 3 \times 20 + 90\)

Calculate the product

\( = 60 + 90\)

Calculate the sum

\( =150\)

Hope this helps...

Best regards!!

We know that z varies directly as √√x and inversely as y, which can be written as:

z = k(√√x)/y

where k is the constant of proportionality.

To find the value of k, we can use the values given when x = 25 and y = 7:

179 = k(√√25)/7

179 = k(5/7)

k = (179*7)/5

k = 250.6

Now we can use this value of k to find z when x = 64 and y = 4:

z = 250.6(√√64)/4

z = 250.6(2)/4

z = 125.3

Therefore, z ≈ 125.3 when x = 64 and y = 4.

The expressions using scratch addition is 516

From the question, we have the following parameters that can be used in our computation:

45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87

Using the Scratch method of Addition. we add the numbers one after the other

Using the above as a guide, we have the following:

45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 = 103 + 29 + 59 + 67 + 37 + 55 + 79 + 87

45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 = 132 + 59 + 67 + 37 + 55 + 79 + 87

45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 = 191 + 67 + 37 + 55 + 79 + 87

45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 = 258 + 37 + 55 + 79 + 87

45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 = 295 + 55 + 79 + 87

45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 = 350 + 79 + 87

45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 = 429+ 87

45 + 58 + 29 + 59 + 67 + 37 + 55 + 79 + 87 = 516

HEnce, the solution is 516

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The amount of Tritium that bottle contains now will be 439,421.

Consider the function:

y = a (1 - r)ˣ

Where x is the number of times this decay occurs, a = initial amount, and r = fraction by which this decay occurs.

Tritium is a radioactive isotope of hydrogen that rots by around 5% each year. An enormous container of water that contained 856,000 tritium iotas stayed undisturbed for a very long time.

Then the amount of Tritium that bottle contains now will be given as,

y = 856,000 (1 - 0.05)¹³

Simplify the equation, then we have

y = 856,000 (1 - 0.05)¹³

y = 856,000 (0.95)¹³

y = 856,000 (0.51334)

y = 439,421

The amount of Tritium that bottle contains now will be 439,421.

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Answer:

97.68 %

z(lower) = .0227

z(upper) = .999

Step-by-step explanation:

The correct answer is (1,1) because both of the lines meet together at these numbers

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Answer:

the mean is when you add all the numbers together and divide by how many numbers there are like

10+10+10+10+ = 40/4 = 10

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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Answer:

y' = 14x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

y = 7x²

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

\(P(D/TP) = \frac{P(D \: n \: TP)}{P(TP)} \)

\(P(TP) = P(TP \: n \: D)+P(TP \: n \: FD) \\ P(TP) = 0.95×0.99 + 0.02×0.01 = 0.9407\)

\(P(D/TP) = \frac{0.9405}{0.9407} = \frac{9405}{9407} \)≈0.999787

-12 is a negative integer. It can be written as

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).

Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

Answer:

Initial amount: 934 g

After 80 years: 147 g

Step-by-step explanation:

\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)

The initial amount occurs at t = 0.

\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)

\( A(0) = 934 (\dfrac{1}{2})^0 \)

\( A(0) = 934 \times 1 \)

\( A(0) = 934 \)

After 80 years, t = 80.

\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)

\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)

\( A(80) = 934 (0.15749) \)

\( A(80) = 147 \)

Answer:

127°

Step-by-step explanation:

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

Answer:

ok simple. lets start with 15/30, 15/30 is basically 1/2 because 15 is half of 30

1/3 is not to the half point of 3 the half point of 3 is 1/5. 2/3 is more than halfway of 3 as it is more than  1.5/3. Do I make sense?

Step-by-step explanation:

hope this helps!!

The function that has a remainder of 18 when divided by ( x-2 ) is
f ( x ) = 2x⁴ + 4x² - 10x - 10

What is a polynomial function?

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Given data ,

The divisor = ( x - 2 )

The remainder = 18

The function will be f( x ) = 2x⁴ + 4x² - 10x - 10

Step 1 :

Divide f ( x ) by ( x-2 ) = \(\frac{2x^4+4x^2-10x-10}{x-2}\)

=

\(2x^3+\frac{4x^3+4x^2-10x-10}{x-2}\)

Step 2 :

Divide  \(\frac{4x^3+4x^2-10x-10}{x-2}\)

=

\(2x^3+4x^2+\frac{12x^2-10x-10}{x-2}\)

Step 3 :

Divide  \(\frac{12x^2-10x-10}{x-2}\)

=

\(2x^3+4x^2+12x+\frac{14x-10}{x-2}\)

Step 4 :

Divide  \(\frac{14x-10}{x-2}\)

=

\(2x^3+4x^2+12x+14+\frac{18}{x-2}\)

The remainder is 18 at the end of step 4

Hence , the function that has a remainder of 18 when divided by ( x-2 ) is
f ( x ) = 2x⁴ + 4x² - 10x - 10

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