Mathematics College

2(8+h) simplify using distrubtive property

Answers

Answer 1
Hello there!

2(8 + h)
The Distributive Property allows us to multiply any number/variable outside of the parenthesis by all numbers/variables inside the parenthesis.

For example;
2(1 + 2)
2(1) + 2(2)
2 + 4
6.

Let's try this with our current problem.
2(8 + h)
2(8) + 2(h)
16 + 2h (This is your simplified expression)

I hope this helps!

Related Questions

A pea seller had some peas. He sold 40% of his stock and still had 420 peas. Originally, he had how many peas?

Answers

100-40= 60%

60% = 0.60

420/0.60 = 700

he had 700 peas

420 --------60%
? ------------100%

100 x 420 / 60 = 700

answer
he had 700 peas originally

100 - 99 + 98 - 97 + 96 ect formula

Answers

100 - 99 + 98 - 97 + 96 = 98
You want a rule for the sequence?  Forgetting the signs for a moment, this is a simple arithmetic sequence where each term is one less than the previous term.  The common difference is then just -1, and the initial term is 100.  The rule for any arithmetic sequence is:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number

Since a=100 and d=-1 we have:

a(n)=100-1(n-1), which we can simplify as:

a(n)=100-n+1

a(n)=101-n

Now the only thing that we need to correct is to have the signs of the numbers alternate between positive and negative.

Since the first term is positive, we could say -1^(n+1).  This expression will start out positive and will alternate back and forth from then onward.  Now we simply have to multiply our sequence by this coefficient...

a(n)=-1^(n-1)*(101-n)

The above will produce the sequence you have listed....

what is the measures in degrees and radians of the angle representing 7-8th of a circle

Answers

That would be 315 degrees, and the radian is 7π/4
[tex]\bf \textit{a circle has a total of }2\pi \textit{ radians and }360\textit{ degrees} \\\\\\ \textit{how much is }\frac{7}{8}\textit{ of each?}\\\\ -------------------------------\\\\ 2\pi \cdot \cfrac{7}{8}\implies \cfrac{14\pi }{8}\implies \cfrac{7\pi }{4}\ radians \\\\\\ 360\cdot \cfrac{7}{8}\implies \cfrac{360\cdot 7}{8}\implies \cfrac{2520}{8}\implies 315^o[/tex]

The length of a shadow of a building is
29 m
. The distance from the top of the building to the tip of the shadow is
35 m
. Find the height of the building

Answers

h^2=x^2+y^2

35^2=29^2+y^2

y^2=35^2-29^2

y^2=384

y=√384

y≈19.60 m  (to the nearest hundredth of a meter, or nearest centimeter)

Which is the equation of the line with slope 5 that contains point (-2, -3)


A. y + 2 = 5(x – 3) B. y + 3 = 5(x + 2) C. y – 3 = 5(x – 2) D. y – 2 = 5(x – 3)

Answers

The answer is y = 5x + 7
here's how you get it:

Start with the base   y = mx + b
then imput the points and the slope:
-3 = 5 ( -2 ) + b

Then solve for b
-3 = 5 ( -2 ) + b
-3 = -10 + b
-b = -7
b = 7

so the equation is:

y = 5x + 7

The answer is y = 5x + 7

here's how you get it:

Start with the base   y = mx + b

then imput the points and the slope:

-3 = 5 ( -2 ) + b

Then solve for b

-3 = 5 ( -2 ) + b

-3 = -10 + b

-b = -7

b = 7

so the equation is:

y = 5x + 7

The table below represents the distance of a train from its destination as a function of time: Time (hours) x Distance (miles) y 0 665 1 570 2 475 3 380 4 285 Part A: What is the y-intercept of the function, and what does this tell you about the train? (4 points) Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points) Part C: What would be the domain of the function if the train continued to travel at this rate until it reached its destination? (2 points)

Answers

A.  y=-95x+665  y-intercept is 665
B.  Ave rate of change is -95
C.  y=0 so x=7 Domain is [0,7]

Expand the fraction 72/125 .so that it has a denominator of 1000.

Answers

x/1000=72/125  multiply both sides by 1000

x=72000/125

x=576

So the fraction is 576/1000

How many times do you need to divide by ten to get from 5947.7 to 5.9477 ?

Answers

answer would be 4 times

so if u count from behind 7 to where the decimal point is it would be 4


brainliewst and thanks plz
Three times. The decimal place is moved according if it's division (to the left) or multiplication (to the right) and how many zeros the ten has.

Example

5.9477 × 10 to the third power = 5947.7
5.9477 ÷ 10 = .59477

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Answers

check the picture below.

notice, the volume of a cylinder which is the same height(h) and radius(r) as a cone, is three times as much of that of the cone's.

Many practical applications require calculations of area. some of these calculations are straightforward, but others are more difficult, and it turns out that the idea of the definite integral can help us with the more difficult cases. let’s start with some familiar shapes. what is the area of a rectangle of length l and width w? express your answer in terms of l and w.

Answers

Area of a rectangle is given by multiplying the length and the width

Let's length be [tex]'l'[/tex] and width be [tex]'w'[/tex], then the area is

A = [tex]l[/tex] × [tex]w[/tex]

The area of a rectangle with length l and width w is given by the product l * w.

what is the area of a rectangle of length l and width w?

The area of a rectangle is calculated by multiplying its length (l) by its width (w).

Therefore, the area (A) of a rectangle can be expressed as:

A = l * w

So, the area of a rectangle with length l and width w is given by the product l * w.

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A rectangular greenhouse has an area of 6480 square meters and a length of 120 meters. How many meters is it in width?

Answers

Area is length x width. If the area is 6480, and you know the length, plug it into the formula to find the width.


120 x width = 6480

So, to solve, you would divide 6480 by 120 to find the width. 6480/120 = 54.

Therefore, the width is 54.

Comment under this post or message me for further help!
A=LW

W=A/L, A=6480 and L=120 so

W=6480/120 m

W=54 m

Use spherical coordinates. evaluate (9 − x2 − y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0.

Answers

In spherical coordinates, we have

[tex]\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\varphi\end{cases}[/tex]

which gives volume element

[tex]\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta[/tex]

and so the triple integral is given by

[tex]\displaystyle\iiint_H(9-x^2-y^2)\,\mathrm dV[/tex]
[tex]=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9-\rho^2\sin^2\varphi)\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta[/tex]
[tex]=\displaystyle2\pi\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9\rho^2\sin\varphi-\rho^4\sin^3\varphi)\,\mathrm d\rho\,\mathrm d\varphi[/tex]
[tex]=\dfrac{592\pi}{15}[/tex]
Final answer:

To solve the given task, change the Cartesian coordinates into spherical coordinates. Rewrite the integrand and the solid hemisphere limits according to these new variables. Evaluate the final triple integral using standard techniques.

Explanation:

To solve the given problem, the first step is to convert the Cartesian coordinates into spherical coordinates. In spherical coordinates, a point in three dimensions is represented by three parameters: ρ (rho) for the radial distance, θ (theta) for the azimuthal angle, and φ (phi) for the polar angle.

Here, given x² + y² + z² ≤ 4, z ≥ 0, the given region corresponds to a solid hemisphere centered at the origin and radius 2 in spherical coordinates, goes as 0 ≤ ρ ≤ 2, 0 ≤ θ ≤ 2π, and 0 ≤ φ ≤ π/2. Our spherical coordinates are x = ρsin(φ)cos(θ), y = ρsin(φ)sin(θ), and z = ρcos(φ).

Then, rewrite the integrand using spherical coordinates, (9 - x² - y²) becomes (9 - ρ²sin²(φ)) and dv becomes ρ²sin(φ)dρdφdθ.

The final integral that needs to be evaluated will read: ∫₀^2 ∫₀^π/2 ∫₀^2π (9 - ρ²sin²(φ))ρ²sin(φ) dθ dφ dρ. This is a triple integral in spherical coordinates that you can now solve using standard integration techniques.

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which algebraic expression shows the average melting points of helium, hydrogen, and neon if h represents the melting point of helium, j represents the melting point of hydrogen, and k represents the melting point of neon?

A. h + j + k
B. hjk
c. h+j+k over 3
d. hjk over 3

Answers

Answer:

c. h+j+k over 3

Step-by-step explanation:

We know that,

[tex]\text{Average}=\frac{\text{Sum of observations}}{\text{Total number of observation}}[/tex]

Here, h, j and k represents the melting point of helium, hydrogen and Neon respectively,

Since, the sum of melting points = h + j + k,

Also, the total number of gases = 3,

Thus,

[tex]\text{Average melting points}=\frac{h+j+k}{3}[/tex]

Or (h+j+k) over 3

⇒ Option c is correct.

The algebraic expression which shows the average melting

points of helium, hydrogen, and neon is h+j+k over 3.

What is Average?

This is calculated with the sum of the items divided by the

number of items.

In this scenario, we were given the items as h, j and k. The

total number of items is 3.

The average will therefore be = h+j+k/3

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An indoor staircase has a 6 inch vertical rise per step to get to the second floor of the house.  If the angle of elevation is 44 degrees and there are 15 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:     a) What is the landing space per step (in inches, rounded to the nearest tenth of an inch)?

Answers

The staircase has a right triangle shape ABC, as shown in the picture, 

with m(A)=44°, and |AB|=15 ft.

using a scientific calculator we can find that tan 44°=0.97.

Tan(A)= (opposite side)/(adjacent side)

0.97=|CB|/15

|CB|=0.97*15=14.55 (ft) = 174.6 (in)

This means that there are 176.6/6 = 29 steps, since the height of each step is 6 in.

The total horizontal space is 15 ft = 180 in,

180/29=6.2 (in)


Answer: 6.2 in

find the values of x between 0 and 2pi where the tangent line to the graph of y=sinxcosx is horizontal.

Answers

[tex]\bf \textit{let's recall that }sin^2(\theta)+cos^2(\theta)=1 \\\\\\ sin^2(\theta)=1-cos^2(\theta)\implies sin(\theta )=\sqrt{1-cos^2(\theta)}\\\\ -------------------------------\\\\[/tex]

[tex]\bf y=sin(x)cos(x)\impliedby \textit{now, using the product-rule} \\\\\\ \cfrac{dy}{dx}=cos(x)cos(x)-sin(x)cos(x)\implies 0=cos(x)[cos(x)-sin(x)]\\\\ -------------------------------\\\\ 0=cos(x)\implies \boxed{\measuredangle x= \begin{cases} \frac{\pi }{2}\\\\ \frac{3\pi }{2} \end{cases}}\\\\ -------------------------------\\\\[/tex]

[tex]\bf 0=cos(x)-sin(x)\implies sin(x)=cos(x)\\\\ thus\qquad \sqrt{1-cos^2(x)}=cos(x)\implies 1-cos^2(x)=cos^2(x) \\\\\\ 1=2cos^2(x)\implies \cfrac{1}{2}=cos^2(x)\implies \pm\sqrt{\cfrac{1}{2}}=cos(x) \\\\\\ \pm\cfrac{1}{\sqrt{2}}=cos(x)\implies \pm\cfrac{\sqrt{2}}{2}=cos(x)\implies \boxed{\measuredangle x= \begin{cases} \frac{\pi }{4}\\\\ \frac{3\pi }{4}\\\\ \frac{5\pi }{4}\\\\ \frac{7\pi }{4} \end{cases}}[/tex]

A bicycle store costs $2,400 per month to operate. The store pays an average of $60 per bike. The average selling price of each bicycle is $120. How many bicycles must the store sell each month to break even?

Answers

If the store buys bikes for 60 and sells them at 120, they earn $60 per bike sold.
f(x)=60x-2400
0=60x-2400
2400=60x
x=40
They must sell 40 bikes.

Which of the following is not an appropriate method of proving triangles congruent a) AAA b)SSS c) AAS D) SAS

Answers

Answer:

a) AAA.

Step-by-step explanation:

Triangles which are of the same shape and size are called congruent triangles. Triangles of same shape are similar triangles.

Two triangles can be proved congruent by SSS ,SAS AAS ,ASA ,HL  postulates.

Two triangles can be proved similar by AAA method.

All congruent triangles are similar but all similar triangles are not congruent.

Hence option a) AAA is not an appropriate method of proving triangles congruent.

Find the exact value of cos 105°.

Answers

[tex] \frac{ \sqrt{2}- \sqrt{6} }{4} [/tex]

what value in place of the question mark makes the polynomial below a perfect square trinomial? 9x2+?x+49

Answers

the missing number should be the square root of the last number times 2 for a perfect trinomial

 so square root of 49 = 7

7*2 =14

 so the missing number should be 14

 

u take the sqrt of the first term, which happens to be 3x...then u take the square root of the 3rd term, which is 7, then u multiply that product by 2....
3x * 7 = 21x.....21x * 2 = 42x

lets check..
9x^2 + 42x + 49 = (3x + 7)^2...correct

so ur middle term will be 42x

Find the common ratio of the geometric sequence: −320,80,−20,5,…−320,80,−20,5,… A. −14−14 B. 1414 C. -4 D. 4

Answers

I'm assuming the sequence is: -320, 80, -20, 5

Divide each term by the previous term to get the common ratio r

r = (term 2)/(term 1) = 80/(-320) = -1/4
r = (term 3)/(term 2) = -20/80 = -1/4
r = (term 4)/(term 3) = 5/(-20) = -1/4

No matter which term you pick (as long as it's not the first one) dividing it by the previous term leads to -1/4 or -0.25 as the common ratio

Answer: -1/4

It seems like none of the answer choices have -1/4 but it could be choice A was supposed to show "-1/4" instead of "-14"? Perhaps the division sign didn't show up for some reason?

an airline ramp with a base of 50 makes an angle of 27 with the ground. find the distance a person will walk on a ramp round to the nearest foot

Answers

check the picture below.

make sure your calculator is in Degree mode.

EASY 5 POINTS!!! A spherical ball just fits inside a cylindrical can, 16 centimeters tall, with a diameter of 16 centimeters. Which expression gives the volume of the sphere in cubic centimeters?

Answers

formula for volume of a sphere is V=4/3 x pi x R63

if diameter = 16 than radius = 16/2 = 8

 so the equation would be 4/3 x pi x 8^3

The figure has ____ lines of symmetry. A. 0 B. 4 C. 6 D. 8

Answers

Answer = B. 4
a 4 pointed star has 4 lines of symmetry
The star has 4 pairs of symmetry lines

A new cruise ship line just launched 3 new ships: the Pacific Paradise, the Caribbean Paradise, and the Mediterranean Paradise.
The Caribbean Paradise has 29 more than the Pacific Paradise. The Mediterranean Paradise has 30 fewer deluxe staterooms than twice the number of deluxe staterooms on the Pacific Paradise. Find the number of deluxe staterooms for each of the ships if the total of deluxe staterooms for the total of the three ships is 719.

Answers

c = caribbean, p = pacific, m = mediterranean

c = p + 29
m = 2p - 30
c + m + p = 719

(p + 29) + (2p - 30) + p = 719
4p - 1 = 719
4p = 719 + 1
4p = 720
p = 720/4
p = 180 <=== pacific paradise deluxe staterooms

c = p + 29
c = 180 + 29
c = 209 <=== caribbean paradise deluxe staterooms

m = 2p - 30
m = 2(180) - 30
m = 360 - 30
m = 330 <=== mediterranean paradise deluxe staterooms
Final answer:

To find the number of deluxe staterooms for each of the three ships, we can set up and solve an equation based on the given information.

Explanation:

Let's represent the number of deluxe staterooms on the Pacific Paradise ship as x.

The number of deluxe staterooms on the Caribbean Paradise is 29 more than the Pacific Paradise, so it can be represented as x + 29.

The number of deluxe staterooms on the Mediterranean Paradise is 30 fewer than twice the number of deluxe staterooms on the Pacific Paradise, so it can be represented as 2x - 30.

We can form an equation with the sum of the deluxe staterooms on all three ships: x + (x + 29) + (2x - 30) = 719.

Simplifying the equation gives us 4x - 1 = 719.

By adding 1 to both sides and dividing by 4, we can find the value of x which represents the number of deluxe staterooms on the Pacific Paradise ship.

Finally, we can substitute the value of x into the expressions for the other two ships to find their number of deluxe staterooms.

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1 + 2 + 3 + 4 + 5 + . . . is an example of a finite series. True False

Answers

True is my answer hope I helped u
The ellipsis would indicate an infinite series.  So I would say false.

(Technically all series are infinite, if they are not infinite they should be referred to as sequences.)

What is the greatest common factor of 4k, 18k4, and 12?

Answers

factor each
4k=2*2*k
18k⁴=2*3*3*k*k*k*k
12=2*2*3

GCF=2


the greatest common factor is 2
the great common factor is 2

A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°

Answers

Another way to state the transformation is D. R0, 360°

Calculations and Parameters

Given that the rotation is:

(x,y) --------> (x,y)

This shows that it goes back to its original position and there is a full rotation occurred.

Based on its full rotation to 360°, it can be noted that option D is another way to state the transformation as other given rotations would give different translations.

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Answer: I can confirm it’s D Ro, 360°

Step-by-step explanation:

Ann is grouping 38 rocks. She can put them into groups of 10 rocks or as single rocks.what are different ways Ann can group the rocks?

Answers

Answer: 4 ways

To answer this question, you need to make a list based on how much "10 group" of rock can be made.
The possible way to group it should be:
0 pcs of 10 group + 38 pcs of 1 group
1 pcs of 10 group + 28 pcs of 1 group
2 pcs of 10 group + 18 pcs of 1 group
3 pcs of 10 group + 8 pcs of 1 group

Evaluate the limit using the appropriate limit law(s). (if an answer does not exist, enter dne.) lim x → 1 2x2 + 4 x2 + 4x − 4

Answers

Presumably, the limit to be evaluated is

[tex]\displaystyle\lim_{x\to1}\frac{2x^2+4}{x^2+4x-4}[/tex]

Since the given function is continuous at [tex]x=1[/tex], the limit of function is equal to the value of the function at [tex]x=1[/tex]:

[tex]\displaystyle\lim_{x\to1}\underbrace{\frac{2x^2+4}{x^2+4x-4}}_{f(x)}=f(1)=\frac{2+4}{1+4-4}=6[/tex]

Find m2, if m6 = 57° and m7 = 23°.

Answers

Final answer:

To find m2, subtract m6 from 180 degrees.

Explanation:

To find m2 in this problem, we can use the fact that angles in a triangle sum up to 180 degrees. We know that m6 = 57° and m7 = 23°.

First, we can find m1 by subtracting m7 from 180 degrees: m1 = 180° - 23° = 157°.

Next, we can find m2 by subtracting m6 from 180 degrees: m2 = 180° - 57° = 123°. Therefore, m2 is equal to 123 degrees.

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