Can someone please help mee (20 points + brainliest!!!)

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

The model for Company A can be written as:  yA = 32 + 0.07x

The model for Company B can be written as : yB = 47 + 0.06x

If the average number of minutes used each month is 1,172 company A will charge $114.04, while company B $117.32

Steps to translate math word problem into algebraic expressions or equations:

- Highlight the important data

- Use mathematic operators to translate the relationship: add, substract, divide, times, or equal to.

- Identify the unknows

- Assign the unknowns to variables.

- If there are more than 1 variables, identify which ones are independent variables, which one are dependent variables. Normally, independent variables become the inputs and dependent variables are the outputs.

In the given problem:

Let the following variables:

x = number of minutes used each month.

yA = total cost charged by company A

yB = total cost charged by company  B

Then,

"Company A charges a monthly service fee of $32 plus $0. 07/min talk-time" can be translated as:

can be translated as:

yA = 32 + 0.07x

"Company B charges a monthly service fee of $47 plus $0. 06/min talk-time"

can be translated as:

yB = 47 + 0.06x

If x = 1,172 minutes, then

yA = 32 + 0.07 (1,172) = $114.04

yB = 47 + 0.06 (1,172) = $117.32

Your question is incomplete, but most probably your question was:

There are two cell phone companies that offer different packages. Company A charges a monthly service fee of $32 plus $0. 07/min talk-time. Company B charges a monthly service fee of $47 plus $0. 06/min talk-time. The model for Company A can be written as ........

The model for Company B can be written as ......

If the average number of minutes used each month is 1,172, how much does this cost for each Company?

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The semiannual amortization amount for the discount on the bonds payable issued by the corporation using the straight-line method can be calculated.

To calculate the semiannual amortization amount, we need to determine the total discount on the bonds payable and divide it by the number of semiannual periods over the bond's life. In this case, the bonds were issued for $940,900, which is a discount of $970,000 - $940,900 = $29,100. The bond's life is 5 years, which corresponds to 10 semiannual periods (2 semiannual periods per year).

Therefore, the semiannual amortization amount for the discount on the bonds payable is $29,100 / 10 = $2,910. By amortizing the discount evenly over each semiannual period, the issuing corporation will gradually reduce the discount balance until it reaches zero at the bond's maturity. This method ensures a systematic and consistent approach to allocating the discount expense over the bond's life.

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Answer:

Step-by-step explanation:

Given

m∠COD=8x+13,

m∠BOC=3x-10, and

m∠BOD=12x-6

The following addition property is true;

<BOD = <BOC + <COD

Substitute

12x-6 = 3x-10+8x+13

12x-6 = 11x+3

12x-11x = 3+6

x = 9

Get <BOD

<BOD = 12x-6

<BOD = 12(9)-6

<BOD = 108-6

<BOD = 102°

Answer:

All I know are those are lines, so they go on forever and ever both ways

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

3x - 9 = 12

3x = 12 + 9

3x = 21

x = 21 ÷ 3

x = 7

Answer:

Jj

Step-by-step explanation:

Answer: 19 minutes

Step-by-step explanation:

Here is the complete question:

takes Andrew 720 seconds to take a shower. He spends an additional 420 seconds eating breakfast.

How many minutes does it take Andrew to take a shower and eat breakfast?

From the question, we are told that Andrew spends 720 seconds to take a shower and also spends an additional 420 seconds eating breakfast. The total time spent by Andrew will be:

= 720 seconds + 420 seconds

= 1140 seconds

We will then convert 1140 seconds to minutes. We should note that 60 seconds = 1 minute. Therefore,

1140 seconds = 1140/60

= 19 minutes

Andrew uses 19 minutes to take a shower and eat breakfast.

The probability of selecting two blue bouncy balls in a row is 2/7

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

Green = 4

Blue = 2

Red = 1

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

P(2 Blue) = Blue * Blue

So, we have

P(2 Blue) = 4/7 * 3/6

Evaluate

P(2 Blue) = 2/7

Hence, the probability of selecting two blue bouncy balls in a row is 2/7

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Answer: Looks like it was rotated 180 degrees

Step-by-step explanation: because the mapping rule for rotating 180 degrees is (x,y) ⇒ (-x,-y)

Answer:

Volume = 261.8 cm³

Surface area = 254.2 cm²

Step-by-step explanation:

To calculate the volume of the cone, we have to use the following formula:

\(\boxed{V = \frac{1}{3} \pi r^2 h}\),

where:

V ⇒ volume

r ⇒ radius = 5 cm

h ⇒ height = 10 cm

Using the above formula and the provided measures, we get:

V = \(\frac{1}{3}\) × π × (5)² × 10

    = \(\frac{1}{3}\) × π × 25 × 10

      = 261.8 cm³

In order to calculate the surface area of the cone, we have to use the following formula:

\(\boxed{SA = \pi r^2 + \pi r l}\)

where:

SA ⇒ surface area

r ⇒ radius = 5 cm

l ⇒ slant length = \(\sqrt{r^2+h^2}\) = \(\sqrt{5^2+10^2}\) = 5√5 cm

Using the formula,

SA = π × (5)² + π × 5 × 5√5

     = π × 25 + π × 25√5

     = 254.2 cm²

Answer:

Carolyn did not distribute the -2 to both terms

Step-by-step explanation:

This was how Carolyn solved the second step:

\(3x-2(x+2)=7\\3x-2x+4=7\)

She did multiply both terms in the parentheses by 2, but she did not change the sign for the 4. It should instead be -4 since a negative number multiplied by a positive number will always make a negative number.

Here is the correct way of solving it:

\(3x-2(x+2)=7\\3x-2x-4=7\)

I hope this helps!

the factors of 28 are : 1, 2, 4, 7, 14, and 28.

the prime factors of 28 are : 2, 2, and 7.

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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Wi represents the weight of the course, and xi represents the grade received for that course.

Care must be taken when assigning variables to weights and observations, because the average grade point average (GPA) is the average grade received for each hour of coursework taken.

Therefore, each grade must be weighed against the number of credits for that course.

For example, if two courses are worth 3 credits and one course is worth 6 credits, then the GPA would be calculated by adding the three grades together and then dividing by the sum of the credits (3+3+6=12).

In this case, a grade of A in the 6 credit course would have a greater impact on the GPA than the same grade in the 3 credit course.

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The expression "five to the three-fourths power raised to the two-thirds power" can be rewritten as a radical expression.

First, let's calculate the exponentiation inside the parentheses:

(5^(3/4))^2/3

To simplify this, we can use the property of exponentiation that states raising a power to another power involves multiplying the exponents:

5^((3/4) * (2/3))

When multiplying fractions, we multiply the numerators and denominators separately:

5^((3 * 2)/(4 * 3))

Simplifying further:

5^(6/12)

The numerator and denominator of the exponent can be divided by 6, which results in:

5^(1/2)

Now, let's express this in radical form. Since the exponent 1/2 represents the square root, we can write it as:

√5

Therefore, the expression "five to the three-fourths power raised to the two-thirds power" simplifies to the radical expression √5.

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Answer:

\(D(x)= x\sqrt{2}\)

Step-by-step explanation:

Given

\(Side = x\)

Required

Represent the diagonal as a function

Using Pythagoras theorem, the diagonal is:

\(D^2= Side^2 + Side^2\)

Substitute x for Side

\(D^2= x^2 + x^2\)

\(D^2= 2x^2\)

Take the square root of both sides

\(D= \sqrt{2x^2\)

Split

\(D= \sqrt{2} * \sqrt{x^2\)

\(D= \sqrt{2} * x\)

\(D= x\sqrt{2}\)

Express as a function.

\(D(x)= x\sqrt{2}\)

The length of the side is 67.8 which gives us the perimeter as 67.8 x 10 = 678units

We are given a decagon, which is a 10-sided polygon with center O, and a radius of 11 units.

We are required to find the perimeter of the decagon and round the answer to the nearest tenth.

We begin by calculating the interior angle of e decagon.

We use the formula;

S = (n-2) 180, where,

S = sum of interior angles,

n = number of sides

therefore, S = (10 - 2) 180

S = 8 x 180

S = 1440

For a 10-sided polygon, each interior angle will now measure;

Interior angle = 1440/10 = 144

take note that the radius of the polygon divides the angle at the vertex (that is, the interior angle) into two equal halves.

With that in mind we can now construct the following triangle:

Take note that the line from the center to the side is the apothem, while the side labeled 11 is the radius (which was given). We can now extract one of the right angled triangles and use that calculate the apothem as follows:

The side labeled a; the apothem can be calculated using the angle 72 degrees as the reference angle:

reference angle = 72

opposite = a

hypotenuse = 11

therefore when we use the formula of sin, we get a = 10.46

Also, for the side labeled s (half the length of one side of the decagon); s = 3.39

For the length of one side of the decagon, we have the side s times 2. Hence, the length of the side is 67.8

67.8 x 10 = 678units

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Answer:

x=−12/5

Step-by-step explanation:

2(1.5x−2)=−0.5(−4x−32)

Step 1: Simplify both sides of the equation.

−2(1.5x−2)=−0.5(−4x−32)

(−2)(1.5x)+(−2)(−2)=(−0.5)(−4x)+(−0.5)(−32)(Distribute)

−3x+4=2x+16

Step 2: Subtract 2x from both sides.

−3x+4−2x=2x+16−2x

−5x+4=16

Step 3: Subtract 4 from both sides.

−5x+4−4=16−4

−5x=12

Step 4: Divide both sides by -5.

−5x−5

=12/−5

x=−12/5

If the series ∑an and ∑bn are both convergent series with positive terms, then the series ∑anbn is also convergent.

This can be proven using the Comparison Test for series convergence. Since an and bn are both positive terms, we can compare the series ∑anbn with the series ∑an∑bn.

If ∑an and ∑bn are both convergent, then their respective partial sums are bounded. Let's denote the partial sums of ∑an as Sn and the partial sums of ∑bn as Tn.

Then, we have:

0 ≤ Sn ≤ M1 for all n (Sn is bounded)

0 ≤ Tn ≤ M2 for all n (Tn is bounded)

Now, let's consider the partial sums of the series ∑an∑bn:

Pn = a1(T1) + a2(T2) + ... + an(Tn)

Since each term of the series ∑anbn is positive, we can see that each term of Pn is the product of a positive term from ∑an and a positive term from ∑bn.

Using the properties of the partial sums, we have:

0 ≤ Pn ≤ (M1)(Tn) ≤ (M1)(M2)

Hence, if ∑an and ∑bn are both convergent series with positive terms, then ∑anbn is also convergent.

Therefore, the given statement is True.

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Answer:

15 is a composite number. 15 = 1 x 15 or 3 x 5. Factors of 15: 1, 3, 5, 15. Prime factorization: 15 = 3 x 5

Step-by-step explanation:

Answer:

15= 3 x 5

Step-by-step explanation:

                            15

                        /      /

                      5   x    3

3 and 5 both multiply together to make 15

Therefore, the series \( \sum_{k=1}^{\infty} \frac{\log k}{k^{p}} \) converges.

To prove the convergence of the given series, we will use the Comparison Test.Let's consider the series \( \sum_{k=1}^{\infty} \frac{\log k}{k^{p}}, \quad p>1 \).

To apply the Comparison Test, we need to find a series that is known to converge and is greater than or equal to our given series.
Since \( \log k < k \) for all positive values of k, we have \( \frac{\log k}{k^p} < \frac{k}{k^p} = \frac{1}{k^{p-1}} \).Now, let's consider the series \( \sum_{k=1}^{\infty} \frac{1}{k^{p-1}} \).

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a) The series \(\( \sum_{k=1}^{\infty} \frac{\log k}{k^{p}} \) converges for \( p > 1 \)\),   b) The series \(\( \sum_{k=1}^{\infty} \frac{1}{k^{\log k}} \) diverges.\)

To prove that the series\(\( \sum_{k=1}^{\infty} \frac{\log k}{k^{p}} \) converges for \( p > 1 \),\)we can use the integral test. The integral test states that if a function \( f(x) \) is positive, continuous, and decreasing on the interval \([1, \infty)\), then the series\(\( \sum_{k=1}^{\infty} f(k) \) converges if and only if the improper integral \( \int_{1}^{\infty} f(x) \, dx \) converges.\)

In this case, let's consider the function \( f(x) = \frac{\log x}{x^{p}} \). This function is positive, continuous, and decreasing for \( x > 1 \) since the logarithmic function is increasing while the power function is decreasing. Now, we evaluate the integral:

\(\[ \int_{1}^{\infty} \frac{\log x}{x^{p}} \, dx \]\)

We can solve this integral using integration by parts. Let\(\( u = \log x \) and \( dv = \frac{dx}{x^{p}} \)\). Differentiating\(\( u \) gives \( du = \frac{dx}{x} \), and integrating \( dv \) gives \( v = -\frac{1}{(p-1)x^{p-1}} \).\)

Using the integration by parts formula, we have:

\(\[ \int_{1}^{\infty} \frac{\log x}{x^{p}} \, dx = \left[ -\frac{\log x}{(p-1)x^{p-1}} \right]_{1}^{\infty} + \int_{1}^{\infty} \frac{1}{(p-1)x^{p-1}} \, dx \]\)

Evaluating the limits of the first term, we get:

\(\[ \left[ -\frac{\log x}{(p-1)x^{p-1}} \right]_{1}^{\infty} = \lim_{{x \to \infty}} \left( -\frac{\log x}{(p-1)x^{p-1}} \right) - \left( -\frac{\log 1}{(p-1)1^{p-1}} \right) = 0 - 0 = 0 \]\)

And the second term is an improper integral that can be evaluated as:

\(\[ \int_{1}^{\infty} \frac{1}{(p-1)x^{p-1}} \, dx = \left[ -\frac{1}{(p-1)(p-2)x^{p-2}} \right]_{1}^{\infty} = 0 - \left( -\frac{1}{(p-1)(p-2)} \right) = \frac{1}{(p-1)(p-2)} \]\)

\(Since the integral \( \int_{1}^{\infty} \frac{\log x}{x^{p}} \, dx \) converges to a finite value, the series \( \sum_{k=1}^{\infty} \frac{\log k}{k^{p}} \) also converges. Therefore, the given series converges for \( p > 1 \).\)

\(Regarding the second series \( \sum_{k=1}^{\infty} \frac{1}{k^{\log k}} \), we can use the comparison test. Since \( \log k < k \) for \( k > 1 \), we can compare the series to the harmonic series, \( \sum_{k=1}^{\infty} \frac{1}{k} \), which is known to diverge.\)

Therefore, since \(\( \frac{1}{k^{\log k}} > \frac{1}{k} \), and the harmonic series diverges, we can conclude that \( \sum_{k=1}^{\infty} \frac{1}{k^{\log k}} \) also diverges.\)

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Answer:

a = 6

b = 3

c = 2

Step-by-step explanation:

Since n(P) = a+b = 9

and n(Q) = b+c = 5

and b is given to be 3

a and b follow easily.

a is 9-b = 9-3 = 6

c is 5-b = 5-3 = 2

The statement that accurately describes the amplitude of a trigonometric function is "the amplitude is twice the height of the function from the x-axis to its highest point."So, the correct option is c.

The amplitude is twice the height of the function from the x-axis to its highest point.What is an amplitude of a function?The amplitude is defined as the difference between the highest and lowest point on a curve.
In the case of a trigonometric function, the amplitude is the distance between the center line and the maximum point (or minimum point) on the curve. The center line is the mean value of the curve or the horizontal line that passes through the center of the curve.

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Answer:

96,000

Step-by-step explanation:

.8 x 120,000 = 96,000

mueves el decimal sobre el porcentaje que deseas encontrar, luego lo multiplicas por el total. por ejemplo quiere 80% entonces mueves el decimal para que sea .8 o si quierias 55% entonces es .55 y el total es el 120,000 el numero que tienes. (:

Answer:96000

Step-by-step explanation:

120000/x=100/80

(120000/x)*x=(100/80)*x       - we multiply both sides of the equation by x

120000=1.25*x       - we divide both sides of the equation by (1.25) to get x

120000/1.25=x  

96000=x  

x=96000

The only possible elements that can appear in all the sets are 4 and 5. Since both 4 and 5 appear in each set, they must be in the intersection.

Based on the given set definition, we have:

A₁ = {4, 5}

A₂ = {4, 5, 6}

A₃ = {4, 5, 6, 7}

A₄ = {4, 5, 6, 7, 8}

and so on.

To find the union of all the sets, we need to find all the distinct elements that appear in at least one of the sets. We can do this by listing the elements in each set and removing duplicates:

⋃[infinity] =1 Aᵢ = {4, 5, 6, 7, 8, ...}

We can see that the union includes all the natural numbers greater than or equal to 4. We can prove this by showing that any natural number n greater than or equal to 4 is included in at least one of the sets. Indeed, for any such n, we can choose i = n - 3, which is a natural number since n is at least 4, and then we have n in Aᵢ.

To find the intersection of all the sets, we need to find the elements that appear in all the sets. We can do this by listing the elements in each set and finding the common elements:

⋂[infinity] =1 Aᵢ = {4, 5}

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Answer:

which shape pls

Step-by-step explanation:

Based on the given information, for 1 hour the cost is $9, for additional hours each hour cost $4. For example, for 2 hours, the cost is $4 + $9 = $13 and for 3 hours is $4 + $4 + $9 = $17.

Based on the previous calculation, you can conclude that following expression represent the given situation.

C = 4(h - 1) + 9

Hence, the answer is option B.