What is the equation in point-slope form of the line that
sses through the point (1, -1) and has a slope of 4?

After 10 years with a Compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.

The amount that will be in Carrie's account after 10 years with compound interest, we can use the formula Pt = P0 ⋅ (1 + r)^t.

Given:

P0 = $1480 (initial deposit)

r = 1.9% = 0.019 (interest rate as a decimal)

t = 10 (number of years)

Substituting these values into the formula, we get:

Pt = $1480 ⋅ (1 + 0.019)^10

Using a calculator, we can evaluate the expression inside the parentheses:

(1 + 0.019)^10 ≈ 1.201223

Now we can calculate the final amount in Carrie's account:

Pt ≈ $1480 ⋅ 1.201223

Pt ≈ $1777.87

Therefore, after 10 years with a compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.

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Answer: 2x7=14

Step-by-step explanation:

There are only three numbers that go with each equation, all you have to do is eliminate the ones that don't match.

Answer:

\(k-m=b\)

\(b-m=diff\)

Step-by-step explanation:

If there are total of k students in a class, and m of those students are girls, the total amount of boys would be:

\(k-m=b\)

(Where k, m, b are variables that represent the total number of students, the amount of girls and the amount of boys respectively)

As the amount of girls subtracted from the total amount would leave you with the amount of boys.

There would be:

\(b-m\) more boys than girls.

If there were 10 total students in the class and 3 of those students were girls, lets use our above equations to see if they are correct - and if we get the expected amounts of:

7 boys in the class, and 4 more boys than there are girls.

\(k-m=b\\10-3=7\\7=7\)

This is correct, as we expected this amount.

\(b-m=diff\\7-3=4\)

The difference between them is 4, so this is correct.

Answer:

The jumping dolphin is approx. 6 meters under sea level

The flying seagull is approx. 8 meters under sea level

The mobula ray is approx. 2 meters under sea level

The clownfish is approx.t 4 meters under sea level

The octopus is approx.  8 meters under sea level

The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.

The flying seagull: The mobula ray is 11 meters lower than the flying seagull.

The octopus: The mobula ray is 11 meters higher than the octopus.

The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.

The flying seagull: The albatross is 3 meters lower than the flying seagull.

The octopus: The albatross is 13 meters higher than the octopus.

The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.

The flying seagull: The clownfish is 10 meters lower than the flying seagull.

The octopus: The clownfish is 6 meters higher than the octopus.

If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.

If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.

✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧

Answer:

31,400

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

9514 1404 393

Answer:

  ±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10

Step-by-step explanation:

The rational root theorem tells you possible rational roots of this equation would be ...

  ±(divisor of 10)/(divisor of 4)

The divisors of 10 are 1, 2, 5, 10. The divisors of 4 are 1, 2, 4. Then the possible rational roots are ...

  ±1/4, ±1/2, ±1, ±5/4, ±2, ±5/2, ±5, ±10

_____

This particular cubic has one irrational real root near -2.689. It has no rational roots.

With the application angular momentum algebra Jy is Hermitian, Jy has imaginary matrix elements is proved.

What is Matrix?

a matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

Solution:

Recall the angular momentum algebra:

[Jx, Jy] = ihJz, [Jy, Jz] = ihJx, [Jz, Jx] = ihJy

Given a basis | ii, the matrix representations for the Jx is [Jx]ij ≡ hi | Jx | ji, and likewise for

Jy and Jz. Thus, since Jx and Jz have real matrix elements, we find:

hi | Jx | ji = hj | Jx | ii, hi | Jz | ji = hj | Jz | ii

where we use the Hermiticty of Jx and Jz. Taking the matrix elements of the third commutator

given above, we find:

hi | [Jx, Jz] | ji = −i~ hi | Jy | ji

where

hi | [Jx, Jz] | ji = Summation k(hi | Jx | ki hk | Jz | ji − hi | Jz | ki hk | Jx | ji)

                      = − hj | [Jx, Jz] | ii

       hi | Jy | ji = − hj | Jy | ii

Therefore, Jy is Hermitian, Jy has imaginary matrix elements.]

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Answer:

D. Find the cost of 1 week of guitar lessons for each store and compare.

Step-by-step explanation:

Find the cost for 1 week of guitar lessons by finding the slope of the data.

\(\frac{y_2-y_1}{x_2-x_1}\\\\ A.)\frac{132-66}{6-3}=\frac{66}{3}=22\\\\ B.)\frac{168-84}{8-4}=\frac{84}{4}=21\)

Therefore, Store B would be the best choice.

Step-by-step explanation:

Your picture is not clear so sorry

Answer:

its super blurry

Step-by-step explanation:

Answer:

\( P(X>4)\)

And we can use the cumulative distribution fucntion given by:

\( F(x) =\frac{x-a}{b-a} , a \leq x \leq b\)

And if we use this formula with the complement rule we have:

\( P(X>4)= 1-P(X<4) =1- F(4) =1-\frac{4-0}{7-0}= 1-0.5714= 0.4286\)

And the best option would be:

B. 0.4286

Step-by-step explanation:

Let X the random variable that represent the time that customers wait to be served at the delicastessen for a grocery store. And we know that the distribution for X is given by:

\( X \sim Unif( a=0, b=7)\)

And we want to find the follwing probability:

\( P(X>4)\)

And we can use the cumulative distribution fucntion given by:

\( F(x) =\frac{x-a}{b-a} , a \leq x \leq b\)

And if we use this formula with the complement rule we have:

\( P(X>4)= 1-P(X<4) =1- F(4) =1-\frac{4-0}{7-0}= 1-0.5714= 0.4286\)

And the best option would be:

B. 0.4286

The probability that a randomly selected customer will wait more than 4 minutes at the  delicatessen is 0.4286.

Given The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and 7 minutes {1,2,3,4,5,6,7}.

We have to calculate probability that a randomly selected customer will wait more than 4 minutes at the delicatessen. So for more than 4 minutes their is only 3 outcomes possible {5,6,7} because the data is uniformly distributed.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability (Event) = Favorable Outcomes/Total Outcomes = x/n

Now, probability (more than 4 minute)\(= \frac{3}{7}\)

probability (more than 4 minute)\(= 0.4286\).

Hence the probability that a randomly selected customer will wait more than 4 minutes at the  delicatessen is 0.4286.

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Answer:

11

Step-by-step explanation:

While I square, all the sides of square are the same side, right on the same length. So therefore, um, one side of the square must be equal to well 44 divided by four because they're all the same length. So therefore, one side of the square is just 44 divided by four, which is 11.

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer:

FG

Step-by-step explanation:

The word best describes the degree of overlap between the two data sets

O low

The degree of overlap generally refers to the extent to which two or more sets share common elements.

Specifically the degree of overlap can be defined as the number of elements that are contained in more than one of the sets being considered

In the problem the degree of overlap is low, since the data points shared only points 50 and 55

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Answer:  We will never reach a sum of 2

We get closer and closer to 2, but never actually reach this exact value.

==============================================================

Explanation:

The sequence

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...

is geometric with these properties

We multiply each term by 1/2 to get the next one.

Examples:

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

Notice how -1 < r < 1 is true, i.e. -1 < 1/2 < 1 is true.

Because of this fact, we can determine the sum of infinitely many terms.

That infinite sum is

S = a/(1-r)

This is our upper bound of what we can reach for S.

Calculating it gives:

S = a/(1-r)

S = 1/(1-0.5)

S = 2

Therefore, the sum of the infinitely many terms of this geometric sequence is 2.

1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + ... = 2

We never quite reach 2 exactly due to the fact we cannot reach infinity on the number line. Infinity is not a number, but rather a concept.

Therefore, we never reach a sum of 2. We simply get closer and closer.

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

Using computer software, I was able to generate this:

The decimal values are exact without any rounding done to them. As you can see, the results of 1.5, 1.75, 1.875, etc are slowly approaching 2 but never get to that exact value itself. Visually you can think of an asymptote.

The number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

Since Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker and we require the number of collections or ways he could bring them to school without coming to school empty-handed, we use combination mathematics since order does not matter.

Now, Faruq can either come to school with one marker and one pencil or one pencil or one marker.

So, the combination for one marker and one pencil is n = a × b = ab

The combination for one marker is n' = a

The combination for one pencil is n" = b

So, the total combination is N = n + n' + n"

= ab + a + b

So, the number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

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Answer:

Step-by-step explanation:

(x₁ , y₁) = (-3.1  , -2.8)   & (x₂ , y₂) = (-4.92 , - 3.3)

\(Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{-3.1-4.92}{2},\frac{-2.8-3.3}{2})\\\\\\=(\frac{-8.02}{2},\frac{-6.1}{2})\\\\\\=( -4.01 , -3.05)\)

Answer:

Step-by-step explanation:

Distance : \(\sqrt{(x2-x1)^2 + (y2 - y1)^2} = \sqrt{(9-2)^2 + (-9+14)^2}= \sqrt{49 + 25} = \sqrt{74}\)

Midpoint :

x (m) = (2+9)/2 = 11/2

y (m) = (-14-9)/2 = -23/2

M (11/2, -23/2)

Hello !

Answer:

\(\Large \boxed{\sf length=13cm}\)

Step-by-step explanation:

The volume of a pyramid is given by \(\sf V_{pyramid}=\frac{1}{3} \times B\times h\) where B is the area of the base and h is the height.

This is a rectangular pyramid. We have where \(\sf B=l\times w\) l is the length and w is the width (breadth).

So \(\sf V_{pyramid}=\frac{1}{3} \times l\times w\times h\)

Given :

Let's replace h, w, l, \(\sf V_{pyramid}\) with their values in the previous formula :

\(\sf 728=\frac{1}{3} \times x\times 8 \times 21\\728=56x\)

Let's solve for x !

Divide both sides by 56 :

\(\sf \frac{56x}{56} =\frac{728}{56}\\ \boxed{\sf x=13cm}\)

Have a nice day ;)

Answer:

First one

Step-by-step explanation:

1 dot over 150: 150 once

3 dots over 160: 160 thrice

5 dots over 165: 165 five times

4 dots over 175: 175 four times

{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}

The data sets that represents the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}.

We have given the,

The following dot plot shows the pulse rates of runners after finishing a marathon.

A normal resting heart rate for adults ranges from 60 to 100 beats per minute.

dot plot with the title of Pulse Rates of Marathon Runners, Pulse Rate.

on the x-axis, and the Number of Runners on the y axis with 1 dot over 150, 3 dots over 160, 5 dots over 165, and 4 dots over 175.

1 dot over 150: 150 once 3 dots over 160: 160 thrice 5 dots over 165: 165 five times 4 dots over 175: 175 four times.

Therefore the data sets which represent the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}

Therefore option first is correct.

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Answer:

B. (Second Option)

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Answer:

Direct contr

Step-by-step explanation:

I took the test and the guy who said replication was wrong. He cost me a point

Answer:

direct control

Step-by-step explanation:

i just took the test UwU

The question gives us the following function:

The X-intercept is where the function crosses the x-axis and the Y-intercept is where the function crosses the y-axis.

X-intercept:

Since the graph must cross the x-axis to have an x-intercept, we should equate f(x) to zero.

Y-intercept:

Since the graph must cross the y-axis to have a y-intercept, we should equate x = 0.

Answer

Thus, the x and y-intercepts are: x = 0 and y = 0 respectively

True statement for Protecting classified data is classified material must be appropriately marked.

Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.

Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.

Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.  

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Answer:5+2=?

absolute value of -5 is 5

absolute value of -2 is 2

Step-by-step explanation:

Answer:

\(x = 6\)

Carl is correct

Step-by-step explanation:

Given

\(\frac{6}{3} = \frac{12}{x}\)

See attachment

Required

Is Carl correct?

Using the side spotter theorem, the proportion is:

\(\frac{AB}{BC} = \frac{AE}{ED}\)

This gives:

\(\frac{6}{3} = \frac{12}{x}\)

This proportion is equivalent to Carl's.

Hence, Carl is correct.

Solving further: Cross Multiply

\(6 * x = 12 * 3\)

\(6 * x = 36\)

Make x the subject

\(x = \frac{36}{6}\)

\(x = 6\)

Answer:A

Step-by-step explanation:

Answer: Answer is A

Step-by-step explanation: i got it right on edge 2023 <33

In the given triangle, length of AC = 12.3 units

α= 45⁰ and θ = 45⁰

Using Pythagoras theorem,

\(AC^{2} = AB^{2} + BC^{2}\)

\(AC^{2}\) = 9 + 144

AC = 12.37

Now, to find the angles:

AC is the diagonal.

Then AD=BC and AB=CD

And ∠ABC=∠BCA=∠CDA=∠DAB=90⁰

In ΔABC and ΔADC

∠ABC=∠ADC (Angle of rectangle)

AB=DC (Opposite side of rectangle)

AC=AC (Common side)

∴ΔABC≅ΔADC

∴∠ACD=∠ACB

∵∠ACD+∠ACB=90⁰ ..........[Angle ACB is the angle of rectangle]

∴2∠ACD=90⁰

⇒∠ACD=45⁰

⇒θ = 45⁰

similarly, α = 45⁰

Pythagoras theorem:

A right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle.

This theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, often called the Pythagorean equation:

\(a^{2} + b^{2} = c^{2}\)

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