A student states that a triangle can be formed with side lengths 4 in, 5 in, and 8 in. Is the student correct? Why, or why not?

Answer:

-3 - 9 = -12 BRAINLIEST PLSSS

The matrix that sends b to bˆ is \(A(A^{T} A)^{-1} A^{T} b\)

A collection of integers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix, are the integers. In addition to several mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

Given Ax = b, we know that xˆ solves the least squares problem:

xˆ \(= (A^{T} A)^{-1} A^{T} b\)

And that bˆ = Axˆ. Therefore, we get bˆ by multiplying both sides of our previous equation by A:

bˆ = Axˆ \(= A(A^{T} A)^{-1} A^{T} b\)

Therefore, the matrix that sends b to bˆ is \(A(A^{T} A)^{-1} A^{T} b\).

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(a) The amplitude of the function is 2.

(b) The amplitude of the function is 3.

Amplitude is interval between the resting position and the maximum migration of the wave.

Formula for amplitude of the function is:

y = A sin (ωt + Ф) or y = A cos (ωt + Ф), where A represent the amplitude.

Given:

(a) y = 2 cos [3(Ф + 45)]

Formula for amplitude is:

y = A cos (ωt + Ф)

(b) y = 3 sin [2(Ф - 90)]

Formula for amplitude is

y = A sin (ωt + Ф)

After compare amplitude with equation than we get amplitudes are 2 and 3.

Therefore, the amplitude of the following function are 2 and 3 respectively.

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The value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

The given integral is;

y = ∫18x sin (9x² + 8) dx

Put u = 9x² + 8

Then, on differentiation

18x dx = du

substitute the values:

y = ∫ sin (u) du.

y = -cos u

Put u = 9x² + 8

y = -cos (9x² + 8) + c

c is the constant of integration.

Thus, the value of the given indefinite integral is found to be: y = -cos (9x² + 8) + c.

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Answer: 18

Step-by-step explanation:

Answer:

Bob is correct.

Step-by-step explanation:

He is correct because he the only person who has the correct numbers. There isn't really a way to explain it.

I'll go ahead and assume you meant to say that S is the surface given by

\(S = \left\{(x,y,z) \mid z = \cos(y)\text{ with } 0\le y\le \pi\text{ and }0\le x\le4\right\}\)

This immediately gives us a parameterization for the surface,

\(\vec r(x, y) = \left\langle x, y, \cos(y)\right \rangle\)

The upward-pointing normal vector to this surface is then

\(\vec n = \dfrac{\partial\vec r}{\partial x} \times \dfrac{\partial\vec r}{\partial y} = \left\langle0,\sin(y),1\right\rangle\)

Then the flux of \(\vec F(x,y,z) = \left\langle e^{-z}, 4z, 6xy\right\rangle\) across S is

\(\displaystyle \iint_S \vec F(x,y,z)\cdot\mathrm d\vec s = \int_0^4\int_0^\pi \vec F(x,y,\cos(y))\cdot\vec n\,\mathrm dy\,\mathrm dx \\\\ = \int_0^4\int_0^\pi \left\langle e^{-\cos(y)},4\cos(y),6xy\right\rangle \cdot \left\langle0,\sin(y),1\right\rangle \,\mathrm dy\,\mathrm dx \\\\ = \int_0^4\int_0^\pi (4\sin(y)\cos(y)+6xy)\,\mathrm dy\,\mathrm dx \\\\ = 2 \int_0^4\int_0^\pi (\sin(2y) + 3xy)\,\mathrm dy\,\mathrm dx = \boxed{24\pi^2}\)

Answer:

9*9*9*9*9*9*9

Step-by-step explanation:

Exponents are repeated multiplication, so it would be 9*9*9*9*9*9*9.

Answer:

9x^3 - 3x + 3

Step-by-step explanation:

(4x^3 + 3x + 1) - (-5x^3 + 6x -2) =

= 4x^3 + 3x + 1 + 5x^3 - 6x + 2

= 9x^3 - 3x + 3

The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)

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

35/100,5/10,65/100

In the above sequence, we can see that 15/100 is added to the previous term to get the new term

This means that

First term, a = 35/100

Common difference, d = 15/100

The nth term is then represented as

f(n) = a + (n - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(n) = 35/100 + 15/100(n - 1)

So, we have

f(n) = 7/20 + 3/20(n - 1)

Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)

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Answer:

1890

Step-by-step explanation:

Area formula: B × H

Substitute and solve:

70 × 27 = 1890

So, the area is 1890.

Hope this helped.

Answer:

\(f(x)=5x^2-5x-60\)

Step-by-step explanation:

We know that x=3 is the solution to x-3=0 and x=-4 is the solution to x+4=0, thus:

\(f(x)=5(x-3)(x+4)\\\\f(x)=5(x^2-x-12)\\\\f(x)=5x^2-5x-60\)

The  scale factor of the dilation is 30:1.

We have,

A superhero action figure has a volume of 1500 cm³.

The volume of the dilated figure is 45,000 cm³

Now, the scale factor should be

= 45000/ 1500

= 30 /1

Thus, the scale factor of the dilation is 30:1.

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Answer:

sale price is $10.5

Step-by-step explanation:

if original price is $15. note that 100% is always the original price

sale price is 100% - 30% = 70%, we need to find the 70% price

so if 100% --> $15

1% --> 15 / 100

70% --> (15/100)*70 = $10.5

Answer:

223/29

Step-by-step explanation:

5x+3y=10 . multiply by 4

3x-4y=61 .  multiply by 3

20x+12y=40

+  9x-12y=183

_____________

29x-0y = 223 . divide both sides by 29

   x = 223/29

Answer:

When someone is deaf they can’t hear, but they still have the ability to see. I believe the main part of living is being able to see, because even if you can’t hear at least you can see and remember the special moments that have occurred in your life. Of course, there are occasions in which it is necessary to hear, but being able to see is something truly valuable for someone because they are able to discover new things with their ability to see. Or maybe you can’t hear your partner tell you that they love you, but at least they can demonstrate it to you and actions speak louder than words in everything.

Step-by-step explanation:

I hope this helped you out

Answer:

55% of the group are wearing glasses.

Step-by-step explanation:

There are 60 total golfers and 33 with glasses. To find the percentage wearing glasses, you must divide the golfers wearing glasses by the total number of golfers and then multiply it by 100.

\(\frac{33}{60} (100)=55%\)

Therefore, 55% of the golfers are wearing glasses.

1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.

2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.

3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.

4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.

5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.

6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.

A system of equations involves using more than one equation solved simultaneously.

Jesse's reading rate per day = 30 pages

Amir's reading rate per day = 35 pages

The number of pages read by Jesse, y = 30 + 30x

The number of pages read by Amir, y = 35x

Where x = the number of days they have been reading

y = 30 + 30x and y = 35x

35x  = 30 + 30x

35x - 30x = 30

5x = 30

x = 6 (30/5)

y = 30 + 30x

y = 30 + 30(6)

y = 210

y = 35x

y = 35(6)

y = 210

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Equation relating T to N = 750 + 620N

According to the information given in the question,

The Amount set aside by Juan = $750

The amount for saving done by Juan = $135

The function is provided for amount A = 750 + 135N

Number of months = N

On the other hand, the amount saved by his wife B = 485N

The total amount saved by combining the amount of money for both Juan and his wife,

T = A + B

T = 750 + 135N + 485N

T = 750 + 620N

Therefore, the Equation relating T to N = 750 + 620N

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The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer:

2600grams or 2.6kg

Explanation:

From the question, we are told that Each packet of nuts has a mass of 325 grams, this is expressed as;

1 packet = 325grams

To get the mass of 8 packets of nut, we can write;

8 packets = x

Cross multiply both equations

1 * x= 8 * 325

x = 2600grams

Hence Mass of 8 packets is 2600grams or 2.6kg

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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Answer:

y = 3

Step-by-step explanation:

\( \frac{2y + 5}{y - 3} \\ y - 3 = 0 \\ y = 0 + 3\)

\(y = 3\)

The length of LN for the triangle is 18.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees

Given triangle JKL,

and MN is parallel to JK,

taking ΔJKL and ΔLMN

∠L = ∠L  (common angle)

because MN is parallel to JK, so corresponding angles are equal,

so ∠K = ∠N

and ∠J = ∠M

ΔJKL ≈ ΔLMN(triangles are similar)

since both triangles are similar the ratio of their corresponding sides is equal,

JL/LM = JK/MN = LK/LN

and JK = 55 and LK = 33

and MN = 12 + LN

JK/MN = LK/LN

substitute the values

55/(12 + LN) = 33/LN

55LN = 33(12 + LN)

55LN - 33LN = 396

22LN = 396

LN = 396/22

LN = 18

Hence the length of LN is 18.

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Answer:

20 square units

Step-by-step explanation:

Point D should be D(4, -1) if a rectangle is to be formed.  A picture is attached to this answer.

The rectangle's dimensions are 4 by 5, so it's area is 4 x 5 = 20 square units.  The picture is small enough that you could even just count squares inside the rectangle!

Answer:64

Step-by-step explanation:16 × 4

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

Answer: true

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

To find the common ratio of a geometric sequence, you divide two consecutive terms together. You can start by dividing 9/6, or 1.5. To confirm this is the common ratio, you can divide 27/2 ÷ 9, which is indeed 1.5. The common ratio is the multiplier of the sequence, so it is consecutive and does not change throughout the function.

Answer:

r = 3/2

Step-by-step explanation:

1.5 written as a fraction is 3/2