What’s the constant term for 7k-8k=

The correct option is,

⇒ −3 > −11; the bass is at a higher elevation than the flounder.

Option B is true.

What is Elevation?

Elevation is distance above the sea.

Given that;

A stripes bass is swimming at an elevation of −3 feet.

And, A flounder is swimming at an elevation of −11 feet.

Clearly, The bass is at higher elevation than the flounder.

So, -3 > -11

Hence, The correct option is,

⇒ −3 > −11; the bass is at a higher elevation than the flounder.

Option B is true.

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Answer:

Step-by-step explanation:

\($ You did not state whether this is simple or compound interest.$ \\ \\ $Simple$ \\ \\ A=Prt\\ \\ t= \frac{A}{Pr}\\ \\ t= \frac{10100}{4400(.07)}\approx 33 \\ \\ $ Compound $ \\ \\ A=P(1+r)^t\\ \\ t=ln\frac{A}{P}/ln(1+r)\\ \\ t=ln\frac{10100}{4400}/ln(1.07)\\ \\ t\approx 12\)

There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

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Answer:

1.33

Step-by-step explanation:

2ml=24min

1ml=12min

1.333ml= 9 min

I'm not sure though.

Answer:

Step-by-step explanation: the y would be 50

The vertex form of the equation is y = 3(x + 2)^2 - 5

The equation is given as:

y = 3x^2 + 12x + 7

Set to 0

3x^2 + 12x + 7 = 0

Subtract 7 from both sides

3x^2 + 12x = -7

Divide through by 3

x^2 + 4x = -7/3

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

Take the coefficient of x

k = 4

Divide by 2

k/2 = 2

Square both sides

(k/2)^2 = 4

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

So, we add 4 to both sides of x^2 + 4x = -7/3

x^2 + 4x + 4 = -7/3 + 4

Express as perfect square

(x + 2)^2 = -7/3 + 4

Multiply through by 3

3(x + 2)^2 = -7 + 12

Evaluate

3(x + 2)^2 = 5

Subtract 5 from both sides

3(x + 2)^2 - 5 = 0

Rewrite as

y = 3(x + 2)^2 - 5

Hence, the vertex form of the equation is y = 3(x + 2)^2 - 5

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Answer:

157.5

Step-by-step explanation:

180 x [(100 - 12.5%) / 100]

= 157.5

Answer:

\( z=\frac{9900-10000}{\frac{501}{\sqrt{40}}}= -1.262\)

\( z=\frac{10200-10000}{\frac{501}{\sqrt{40}}}= 2.525\)

And we can find the probability with this difference and using the normal standard distribution table and we got:

\( P(-1.262 < z< 2.525) =P(Z<2.525) -P(Z<-1.262) = 0.994-0.103= 0.891\)

Step-by-step explanation:

For this problem we have the following info:

\( \mu = 10000\) represent the true mean

\( \sigma = 501\) represent the deviation

\( n = 40\) representthe sample size selected

We want to find the following probability:

\( P(9900 <\bar X <10200)\)

And for this case since the sample size is large enough we can use the central limit theorem and then we can use the z score formula given by:

\( z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)

Andreplacing we got:

\( z=\frac{9900-10000}{\frac{501}{\sqrt{40}}}= -1.262\)

\( z=\frac{10200-10000}{\frac{501}{\sqrt{40}}}= 2.525\)

And we can find the probability with this difference and using the normal standard distribution table and we got:

\( P(-1.262 < z< 2.525) =P(Z<2.525) -P(Z<-1.262) = 0.994-0.103= 0.891\)

Tommie will make $12.65 per hour after his raise.

We will perform addition of value equal to mentioned percentage. So, representing this as equation -

Amount of money earned after raise = 11.5 + 10%×11.5

Converting percentage to whole number

Amount of money earned after raise = 11.5 + (10/100×11.5)

Performing multiplication and division on Right Hand Side of the equation

Amount of money earned after raise = 11.5 + 1.15

Performing addition on Right Hand Side of the equation

Amount of money earned after his raise = $12.65

Therefore, after increase in 10% raise, Tommie will earn total $12.65.

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Answer:

D

Step-by-step explanation:

i got it correct on edge (2021)

Using unitary method, the two towns that are 4 inches apart on the maps are 200 miles apart in reality.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that 1 inch on map  = 50 miles of actual distance

4 inch = 4 x 50 miles = 200 miles

The actual distance between two towns that are 4 inches apart on the map = 200 miles.

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Option A. The statement that can be said to be true for h is h(2) = 16

If we look at the domain and range, we can rule out some straight away.

For h - 3 = -1

this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25

When h is 13 = 18

This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11

When h is 8 = 21

there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19

Therefore on h(2) = 16

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Answer:

a = -2, b = -5, c = 1

I hope this helps

Answer:

1/7

Step-by-step explanation:

Given series :-

To find :-

From the Series , the common ratio will be ,

⇝ CR = -2/25 ÷ 1/5

⇝ CR = -2/25 × 5

⇝ CR = -2/5

Using formula of GP :-

⇝ S_∞ = a /1 - r , -1 < r < 1

⇝ S = 1/5 ÷ ( 1 - (-2/5))

⇝ S = 1/5 ÷ ( 1 +2/5)

⇝ S = 1/5 ÷ 5/7

⇝ S= 1/7

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Answer:

I highly think it's D. \(\frac{\sqrt{2} }{2}\)

Step-by-step explanation:

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.

To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:

P(n, r) = n! / (n-r)!

In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:

P(6, 3) = 120

We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:

2 x 4 x 3 = 24

The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:

24/120 = 0.2 or 20%

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hello! it would help if you gave more information so we could better answer the question ^^

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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

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Hope this helps! :)

The units price are:

Then brand A is the better option.

If you know that a set of N items has a price P, then the unit price is given by the quotient between the price and the number of items that you get, N.

For Brand A, we know that there are 25 spoons for $1.99, then in this case the unit price is:

a = $1.99/25 = $0.0796

For Brand B the set has 42 spoons for $3.89, then the unit price is:

b = $3.89/42 = $0.0926

So we can see that Brand A has a lower unit price, meaning that is a better option.

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(n/3) + 5 - 8 = 2

First add the constants (+5 and -8) on LHS.

(n/3) - 3 = 2

Transfer -3 to RHS, by changing its sign.

n/3 = 2 + 3

Now add the constants (2 and 3) on RHS.

n/3 = 5

Transfer 3 to RHS by changing division to multiplication

n = 5 × 3

Finally multiply the constants (5 and 3) on RHS

n = 15

Answer:

The x-intercept is 40, which represents the number of monthly payments needed to repay the loan.

Step-by-step explanation:

The x-axis can be represented as y = $0, and in this graph y represents remaining balance. So, the x-intercept represents when no more money needs to be paid back on the loan.

The range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

The range of function g depends on the range of the function f.

Let's start by assuming that we know the range of f.

If the range of f is Rf, then the range of -2f is the set {-2y | y ∈ Rf}, which is just the set of all numbers that can be obtained by multiplying an element of Rf by -2.

Finally, we add 1 to each of these values to get the range of g. Therefore, the range of g is:

Rg = {1 - 2y | y ∈ Rf}

In other words, the range of g is obtained by taking the range of f, multiplying each element by -2, and adding 1 to each result.

If we don't know the range of f, we can still say something about the range of g. Specifically, we know that g(x) can never be greater than 1 (since the largest value that -2f(x) can take is 0, and adding 1 to 0 gives us 1), and g(x) can never be less than 1 - 2M, where M is the largest possible value that f(x) can take on. In other words, the range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

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Answer:

It is boxes of cereal and bags of pretzels.

Step-by-step explanation:

Boxes of cereal costs $3.95 per box and pretzels cost $3.59 per bag. This is because 15.8÷4= $3.95 and 10.77÷3= $3.59

Answer:

x = -5

Step-by-step explanation:

Answer:

  x = -5

Step-by-step explanation:

You want the solution to the equation 2x -10 = 4x.

Subtracting 2x from both sides gives ...

  -10 = 2x

Dividing both sides by 2 gives ...

  -5 = x

The solution is x = -5.

__

Additional comment

When all of the coefficients have a common factor, sometimes we like to divide the equation by that factor. Here, all of the coefficients are even, so we can start by dividing the equation by 2:

  x -5 =2x

Now subtracting x gives the solution:

  -5 = x

It still takes 2 steps, so the approach you take will be the one you're most comfortable with.

<95141404393>

9514 1404 393

Answer:

  25°, 65°

Step-by-step explanation:

Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.

The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.

The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.

Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.

The two angles are 25° and 65°.

_____

Additional comment

There are many ways you can arrive at this conclusion. Algebraically,  we can write ...

  a+b = sum

  a-b = difference

Adding these two equations gives ...

  2a = sum +difference

Multiplying by 1/2, we get ...

  a = 1/2sum +1/2difference . . . . . . as described above

Subtracting the difference gives ...

  b = a -difference = 1/2sum -1/2difference

The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The angles are given below.

∠ABC = ∠DEF          ...1

∠GHI = ∠DEF           ...2

From equations 1 and 2, then we have

∠ABC = ∠DEF

The measure of the angle ∠ABC will be equal to the measure of the angle ∠DEF which is ∠ABC = ∠DEF.

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The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

   \(h^{l} (s) = \frac{1 }{(\sqrt{s}) (1-\sqrt{s})^{2} }\)

Step-by-step explanation:

Explanation

Given that

          \(h(s) = \frac{1+\sqrt{s} }{1-\sqrt{s} }\)

Differentiating equation (i) with respective to 'x'  ,we get

       \(h^{l} (s) =\frac{1-\sqrt{s}) \frac{1}{2\sqrt{s} } -(1+\sqrt{s})(\frac{-1}{2\sqrt{s} )} }{(1-\sqrt{s})^{2} }\)

      \(h^{l} (s) = \frac{\frac{1}{2\sqrt{s} } -\frac{1}{2\sqrt{s} }X\sqrt{s} + \frac{1}{2\sqrt{s} } +\frac{1}{2\sqrt{s} }X\sqrt{s} }{(1-\sqrt{s})^{2} }\)

      \(h^{l} (s) = \frac{\frac{2}{2\sqrt{s} } }{(1-\sqrt{s})^{2} }\)

     \(h^{l} (s) = \frac{1 }{(\sqrt{s}) (1-\sqrt{s})^{2} }\)