Use the product-to-sum formula to convert the expression to a sum or difference. Simplify where is possible. ​

Answer:

the answer is 66.67%

Step-by-step explanation:

54.90-18.30=36.60

36.60÷54.90×100=66.666666666... or 66.67%

I think it's an= 13.5 - 2.5n

[tex]a_n=13.5-2.5n[/tex]

[tex]11,\ 8.5,\ 6,\ 3.5,\ 1...[/tex]

[tex]So\ d=8.5-11=b-8.5=3.5-6=1-3.5[/tex]

       [tex]=-2.5[/tex]

[tex]And\ a_1=\parallel \left\{Anithmetic\ \left.\ sequence\right\}\right.[/tex]

[tex]so\ a_n=a_1+d(n-1)[/tex]
         [tex]=11-2.5(n-1)[/tex]
         [tex]=13.5-2.5n[/tex]

[tex]The\ answer:a_n=13.5-2.5n[/tex]

I hope this helps you

:)

Answer: 2 1/3

Step-by-step explanation:

We first convert this to mixed number: 5/1 / 15/7

Then cross cancel and factor to get 7/3.

Lastly we convert this back to a  mixed number.

So we get 2 1/3 or 0.667 (decimal)

The amount of material needed for the containers is its surface area

The amount of material needed for the 8 containers using the assumed parameters is 3080 square feet

The question is incomplete, as the figure of the right pentagonal prism is not given.

So, I will provide a general explanation.

The surface area (SA) of a right pentagonal prism is:

SA = 5b(a + h)

Where:

From the question, we have the height of the prism to be 8 ft.

Assume that:

a = 3 ft and b = 7 ft

The equation becomes

SA = 5 * 7 * (3 + 8)

Evaluate the product

SA = 385

The amount of material needed for the 8 containers would be:

Amount = 8 * 385 square feet

Amount = 3080 square feet

Hence, the amount of material needed for the 8 containers using the assumed parameters is 3080 square feet

Read more about area at:

https://brainly.com/question/24487155

Answer:

The answer is 1872

Step-by-step explanation:

Answer:

1.TRUE

2.TRUE

3.TRUE

4.TRUE

5.TRUE

Step-by-step explanation:

THATS MY ANSWER ON MY MODULES

hope it helps as

We have the following point:-

[tex]\sf{(10,5)}[/tex]

where 10 is the x-coordinate & 5 is the y-coordinate.

If we move 5 units to the left, then we subtract 5 from the x-coordinate:-

[tex]\sf{(10-5,5)}[/tex]

Hence, the point is:-

[tex]\bigstar{\boxed{\pmb{5,5}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is

| (X — h)^2 = 4p(Y — k) |

Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.

So the equation of this parabola is,

(X — 0)^2 = 8(Y — 0)

X^2 = 8Y or Y = X^2/8

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

a-8x =4-8×-6

=4-(-48)= 4+48=52

Answer:

B. -3

your question isn't clear

the answers are as follows:

• -15

• -7

• 5

• 13

• 21

Answer:

Almost all trapezoids have two right angles, beacuse they are quadrilaterals, meaning they will have at least one or more right angles.

__________________________________________________________

Ask me in the comments box.

Please view image below, it supports the answer. The tiny squares in blue circles are highlighted right angles.

Answer:

1:1000

2,100 kg

Step-by-step explanation:

A linear scale of 1:10 means a volume scale of 1:1000.

The ratio of the volumes is model:real = 1:1000.

The mass is proportional to the volume.

The real car has a volume 1000 times the volume of the model, so its mass is also 1000 times the mass of the car.

mass of real car = 1000 × 2.1 kg = 2100 kg

Answer:

360 naira hope its help

Step-by-step explanation:

brainliest me

Given that the absolute value of a function is its positive value and the value of x is -10, hence the absolute value of x is 10

The absolute value is the positive value of any given value.

Given the equation

x + 8 = -2

Determine the value of x

x = -2 - 8
x = -10

Since x is -10, hence the absolute value of x is 10

Learn more on absolute value here: https://brainly.com/question/24368848

Answer:

9

Step-by-step explanation:

i dont know 100% but i think is 9

Linear equations are usually organized in slope-intercept form, which looks like this:

[tex]y=mx+b[/tex]

To find the equation of a line in slope-intercept form:

We're given:

First, plug the given slope into the slope-intercept form equation:

[tex]y=mx+b\\\\y=\dfrac{1}{2}x+b[/tex]

Now, determine the y-intercept.

[tex]y=\dfrac{1}{2}x+b[/tex]

⇒ Plug in the given point (4,1) and solve for b:

[tex]1=\dfrac{1}{2}(4)+b\\1=2+b\\b=-1[/tex]

⇒ Therefore, the y-intercept is -1. Plug this back into our original equation:

[tex]y=\dfrac{1}{2}x-1[/tex]

[tex]y=\dfrac{1}{2}x-1[/tex]

Answer:

Jenna's line would be: C Line L

Step-by-step explanation:

The x coordinates and y coordinates from Jenna's table matches up with the points on Line L. Hope this helped! :)

Answer:

[tex] \frac{0.75x - 3}{x - 1} [/tex]

Step-by-step explanation:

Equation of a rational function is

[tex] \frac{p(x}{q(x)} [/tex]

where q(x) isn't zero.

There is a vertical asymptote at

[tex]x = 1[/tex]

So this mean that our denomiator must have a zero that occur at x=1.

That zero is

[tex]x - 1[/tex]

So our denomiator is

[tex] \frac{p(x)}{x - 1} [/tex]

Since our horinzontal asymptote is a non zero value, the numerator must be a linear equation as well.

So our rational function is

[tex] \frac{ax + b}{x - 1} [/tex]

We know the graph pass through (0,3)

So if we apply that logic,

[tex] \frac{a(0) + b}{0 - 1} = 3[/tex]

[tex] \frac{b}{ - 1} = 3[/tex]

[tex]b = - 3[/tex]

And it passes through (4,0)

[tex] \frac{a(4) + b}{3} = 0[/tex]

[tex]4a + b = 0[/tex]

[tex]4a + ( - 3) = 0[/tex]

[tex]4a = 3[/tex]

[tex]a = \frac{3}{4} [/tex]

So our rational equation is

[tex] \frac{0.75x - 3}{x - 1} [/tex]

Answer:

Step-by-step explanation:

The solution to the inequality will  be (B) r<-4 9/10. Don't ask me why. I just know.

Using separation of variables, it is found that the expression for the mass, M, at any time t, is given by:

[tex]M(t) = 150e^{-kt}[/tex]

In separation of variables, supposing a differential equation in the format [tex]\frac{dy}{dx}[/tex], we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is:

[tex]\frac{dM}{dt} = -kM[/tex]

Then, applying separation of variables:

[tex]\frac{dM}{M} = -k dt[/tex]

[tex]\int \frac{dM}{M} = \int -k dt[/tex]

[tex]\ln{M} = -kt + C[/tex]

[tex]M(t) = M(0)e^{-kt}[/tex]

The initial mass is of M(0) = 150, hence:

[tex]M(t) = 150e^{-kt}[/tex]

More can be learned about separation of variables at https://brainly.com/question/14318343

Presumably, both δ and ρ represent density of some object. Considering the context, ρ is likely a function of 3 variables, ρ = ρ(x, y, z). Then the mass of the sphere with the prescribed density δ(x, y, z) = k ρ(x, y, z) is

[tex]\displaystyle \iiint_B k \rho(x,y,z) \, dx\, dy\, dz[/tex]

where B is the set

[tex]B = \left\{(x,y,z) ~ : ~ x^2+y^2+z^2 \le 7^2\right\}[/tex]

If you have all the details at hand, you can compute the integral by converting to spherical coordinates, substituting

[tex]\begin{cases}x = u \cos(v) \sin(w) \\ y = u \sin(v) \sin(w) \\ z = u \cos(w)\end{cases} \text{ and } dx\,dy\,dz = u^2 \sin(w) \, du \, dv \, dw[/tex]

The integral then transforms to

[tex]\displaystyle k \int_0^{2\pi} \int_0^\pi \int_0^7 \rho(u\cos(v)\sin(w),u\sin(v)\sin(w),u\cos(w)) \, u^2 \sin(w) \, du \, dw \, dv[/tex]

Without any additional information, there's not much more to say...

Answer:

figure      area     add        units (?)    (?)

Step-by-step explanation:

Might need a little more information

  last one can be   square feet      square yards    square inches   square cm  square meters   etc   etc     It depends on the dimensions of the figure which isn't shown.

[tex]\cfrac{42}{70}~~ = ~~\cfrac{u}{55}\implies \cfrac{(14)3}{(14)5}~~ = ~~\cfrac{u}{55}\implies \cfrac{3}{5}=\cfrac{u}{55}\implies \cfrac{3(55)}{5}=u \\\\\\ 3\cdot \cfrac{55}{5}=u \implies 3\cdot 11=u\implies 33=u[/tex]

Step-by-step explanation:

[tex] \sin( \frac{9\pi}{4} ) [/tex]

[tex]0.1230573409[/tex]

Answer:

Ratio

Step-by-step explanation:

1. Your checking account number as a name for your account. Nominal (renaming)

2. Your checking account balance as a measure of the amount of money you have in that account. Ratio

3. Your checking account balance as a measure of your wealth. Interval

4. The number you get from a machine (32, 33,...) as a measure of the time you arrived in line. Ordinal

5. The order in which you were eliminated in a spelling bee as a measure of your spelling ability. Interval

6. Your score on the first statistics test as a measure of your knowledge of statistics. Ratio

7. Your score on an individual intelligence test as a measure of your intelligence. Nominal

8. The distance around your forehead measured with a tape measure as a measure of your intelligence. Interval

9. A response to the statement "Abortion is a woman's right" where Strongly Disagree = 1, Disagree = 2, No Opinion = 3, Agree = 4, and Strongly Agree = 5, as a measure of attitude toward abortion. Ordinal

hope it helps:)