n(n+1)+3=45 what number n makes?

Answer:

no

Step-by-step explanation:

if it's a prism then it wont have a square bottom

9514 1404 393

Answer:

  (√17 -4√595)/102

Step-by-step explanation:

To use the sine of the angle sum formula, we need to know the sine and cosine of each of the angles.

  sin(sin^-1(1/6)) = 1/6 . . . . a first-quadrant angle

  cos(sin^-1(1/6)) = √(1 -(1/6)²) = √(35/36) = (√35)/6

  sin(tan^-1(-4)) = -4/√(1+(-4)²) = -4/√17 . . . . a 4th-quadrant angle

  cos(tan^-1(-4)) = √(1 -(-4/√17)²) = 1/√17

The sum of angles formula is ...

  sin(α+β) = sin(α)cos(β) +cos(α)sin(β)

So, our sine is ...

  \(\sin\left(\sin^{-1}\left(\dfrac{1}{6}\right)+\tan^{-1}(-4)\right)=\dfrac{1}{6}\cdot\dfrac{1}{\sqrt{17}}+\dfrac{\sqrt{35}}{6}\cdot\dfrac{-4}{\sqrt{17}}\\\\=\dfrac{1-4\sqrt{35}}{6\sqrt{17}}=\boxed{\dfrac{\sqrt{17}-4\sqrt{595}}{102}}\)

What are the angles of △ABC with side lengths a=15, b=26, and c=19 Round each angle to the nearest tenth of a degree and use that rounded value. So the remaining angles is: The Measurements that have been rounded:∠A ≈ 48.8°, ∠B ≈ 56.1°, ∠C ≈ 75.1°

Given, the angles of △ABC with side lengths a=15, b=26, and c=19, using the Law of Cosines to find the measures of the angles in a triangle, When given the side lengths of a triangle, the Law of Cosines is a useful tool for determining the measures of the angles.

For each angle, the formula is as follows: c² = a² + b² - 2abcos(C)

∴cos(C) = (a² + b² - c²)/(2ab)

∴C = cos⁻¹[(a² + b² - c²)/(2ab)] Use the same method to find the measures of the other two angles once you've discovered one.

Measurements that have been rounded: ∠A ≈ 48.8°, ∠B ≈ 56.1°, ∠C ≈ 75.1°.

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Answer:

7.9 + x because all the others are equal to.each other

Given the function:

we can find f(3) by making x = 3 and solving for the term f. In this case, we have the following:

therefore, f(3) = -60

Answer:

52 5/8

Step-by-step explanation:

To add fractions, you have to make sure both fractions have a common denominator.

As you can see, the fractions have different denominators, so to make both denominators 8, we have to multiply 1/4 by two, which gives us 2/8.

Then, we just add like normal!

49 2/8+ 3 3/8 = 52 5/8!

Hope this helped! :)

Answer:

45 + 21e   3  (7e  +15)

Step-by-step explanation:

The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be

⇒ 45 + 21e

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 4(3e+2) + 9(e+4) + 1

Now,

We can simplify the expression as;

⇒ 4(3e+2) + 9(e+4) + 1

⇒ 12e + 8 + 9e + 36 + 1

⇒ 21e + 45

⇒ 45 + 21e

Thus, The equivalent expression of the expression 4(3e+2) + 9(e+4) + 1 will be;

⇒ 45 + 21e

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Answer: x= -1.9

Step-by-step explanation:

The order of investment options from least to greatest risk is:

A B rated bond is considered safer than the rest because there is a high chance that the owners of the bond will redeem it. Property is not very risky but can be susceptible to market shocks.

Speculative stock is the third riskiest because its prices are prone to fluctuation. Starting a business is by far the riskiest because a lot of new businesses fail.

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Answer:

B-rated bond

property

starting a business

speculative stock

Step-by-step explanation:

Answer: 100,000 + 80,000 + 6,000 + 200 + 80 + 2

Step-by-step explanation: Expanded form is writing out the number like I did tbh..hard to explain you just gonna practice but here ya go :)) !

Answer:

100,000+80,000+6,000+200+80+2

Step-by-step explanation:

You see it

If you know the place values,Then you can do expanded form.

Answer:

Step-by-step explanation

To start in point-slope form,

y = mx + b

3 = 1/2(-2) + b

3 = -1 + b

so b = 4

Point-slope equation is y = (1/2)x + 4

In Standard form,

Ax+Bx = c

first multiply both sides of your equation by 2

2y = x + 8

substract x from both sides

Standard form equation is 2y - x = 8

Answer:

C:      7(x+2)-3x = 2/3(6x+3)

Step-by-step explanation:

Graphing both lines shows that they are parallel to each other.

Answer:

There ya go love

Step-by-step explanation:

Answer:

 \(y=\frac{5}{2} x\)

Step-by-step explanation:

Notice is a line, The equation for a line can be found as the following:
\(y-yo=m(x-xo)\)
We need to find the slope.

First take two points of the graph
(0,0) the origin and (4,10) for example. Notice i do assume the X value is 4 for Y=10, since the cropping for the picture doesn't show the exact values for X .
Then the slope is given by equation:
\(m=(y-yo)/(x-xo)\\\)

\(m=\frac{10-0}{4-0} =5/2\)

then the equation is

\(y-0=\frac{5}{2} m(x-0)\)  

\(y=\frac{5}{2} x\)

Answer:

y=5/2x or y=2.5x

Step-by-step explanation:

Answer:

17.85% for 1 year

Step-by-step explanation:

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Answer:

y = 3/8x - 7/2

Step-by-step explanation:

y = 3/8x + b

-5 = 3/8(-4) + b

-5 = -3/2 + b

-7/2 = b

Answer:

y=3/8x - 7/2

Step-by-step explanation:

Hi there!

We're given that a line has a slope of 3/8 and passes through the point (-4, -5)

We want to find the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope, we can immediately plug that into the equation as m.

So replace m with 3/8.

y=3/8x + b

Now we need to find b

As the point passes through the point (-4, -5), we can use its values to help solve for b.

Substitute -4 as x and -5 as y:

-5 = 3/8(-4) + b

Multiply

-5 = -3/2 + b

Add 3/2 to both sides

-5 = -3/2 + b

+3/2   +3/2
_______________

-7/2 = b

Substitute -7/2 as b into the equation

y=3/8x - 7/2

Hope this helps!

Topic: Finding the equation of the line

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Given:

The functions are

\(f(x)=4x^2+7x-5\)

\(g(x)=-9x^2+4x-13\)

To find:

The functions \((f+g)(x)\) and \((f-g)(x)\).

Solution:

We know that,

\((f+g)(x)=f(x)+g(x)\)

\((f+g)(x)=4x^2+7x-5-9x^2+4x-13\)

\((f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)\)

\((f+g)(x)=-5x^2+11x-18\)

And,

\((f-g)(x)=f(x)-g(x)\)

\((f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)\)

\((f+g)(x)=4x^2+7x-5+9x^2-4x+13\)

\((f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)\)

\((f-g)(x)=13x^2+3x+8\)

Therefore, the required functions are \((f+g)(x)=-5x^2+11x-18\)

and \((f-g)(x)=13x^2+3x+8\).

The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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The area of the garden is 72 square units

The length of fencing is 36 units

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

The figure (see attachment)

The area of the garden is then calculated as

Area = 1/2 * Sum of parallel sides * Height

So, we have

Area = 1/2 * (6 + 12) * 8

Evaluate

Area = 72

For the length of fencing, we have

Length = Sum of side lengths

So, we have

Length = 6 + 12 + 8 + 10

Evaluate

Length = 36

Hence, the length is 36

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Answer:

Her speed was 51.2 and the work i did was 460.8 / 9

Step-by-step explanation:

Answer:

x>−7

Step-by-step explanation:

55−6>−7x

49>−7x

−

​7

​

​49

​​ <x

−7<x

x>−7

Answer:

Step-by-step explanation:

LCM of 7/12 and 5/6

12: 12, 24

6: 6, 12

LCM: 12

Answer:

3053.63 inches cube

Step-by-step explanation:

V =4 3

------nr

3

4/3×22/7×9×9×9

=

3053.63

please mark as brainliest answer as it will also give you 3 pts

Answer:

{5,6,7}

Step-by-step explanation:

3s>12

divide by 3 on both sides and you get

s>4

so {5,6,7} is the only one that works since it needs to be greater than 4

sorry if I replied too late, but I hope this helps

Answer:

C. 2

Step-by-step explanation:

\(3 \frac{1}{2} \times \frac{4}{7} \\ = \frac{3 \times 2 + 1}{2} \times \frac{4}{7} \\ = \frac{7}{2} \times \frac{4}{7} \\ = 2\)

hope it helps :)

Answer:

C

Step-by-step explanation:

3 1/2 = 7/2

4/7 = 4/7

7/2 x 4/7 = 28/14 or 2