Write the expression as a trinomial: (y+7)(y-11). You want to make the expression into trynomial form, not simplified it

Answer:

[tex]\displaystyle \frac{3x^8}{2}[/tex]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \frac{9x^{16}}{6(x^2)^3x^2}[/tex]

Step 2: Simplify

Answer:

h= 60

g= 120

m= 147

k= 33

Step-by-step explanation:

We know that all three lines are straight an continuous, so, at any given point the angles should add up to 180 degrees.

This immediately helps with angle h:

    120 + h = 180

              h = 60

As well as m:

     33 + m = 180

              m = 147

There are two ways to solve the next part:

First and most familiar way:

    h + g = 180

    60 + g = 180

             g = 120

and:

    m + k = 180

    147 + k = 180

              k = 33

The other way that I prefer is that the angles opposite of each other when two lines intersect are equal. I don't know if that makes sense, it's hard to explain in this format.

Crop yield prediction in year 2020 is 9,447 kg/ha

Linear regression is an analytic statistical approach for predicting the relationships between an independent variable that determines the values of of or more dependent variables.

From the data given in the question

Equation of a straight line is y = a + bx

∑y = an + b∑x

∑xy = a∑x +b∑x²

The values are calculated in the table given below

 X                y              x=X-1985             x²                    xy

1961          3090               -24                 576              -74160

1968         4040                -17                 289              -68680

1987          5830                 2                   4                   11660

1992         5680                 7                   49                 39760

2001         7630                16                  256               122080

2004         8020               19                  361                152380

   _                _                   _                     _                      _

∑x =11913   ∑y=34290    ∑x=3            ∑x²=1535       ∑xy=183040

Substituting the values

6a + 3b = 34290

3a + 1535b = 183040

solving the two by suitable elimination

6a + 3b = 34290

3(2a+b) = 3×11430

2a + b = 11430....(i)

and 3a + 1535b=183040....(ii)

a=173620/3067 = 5660.91

Putting a=5660.91 in (i)

2(5660.91) + b = 11430

b = 108.81

∴ a = 5660.91 and b = 108.81

Now substituting the values in the equation y=a+bx

y = 5660.91 + 108.81x

y = 5660.91 + 108.81(X-1985)

∴In 2020

y =5660.91 +108.81(2020 - 1985)

y = 9447.245

Learn more about Statistics here :

https://brainly.com/question/22661717

#SPJ5

Answer:

At most 3 calls: 64.7%

At least 3 calls: 57.7%

5 or more calls: 18.5%

Step-by-step explanation:

Answer:

[tex]P(TTTTT) = \frac{1}{32}[/tex]

Step-by-step explanation:

Given

[tex]n = 5[/tex] --- toss

See comment for complete question

Required

[tex]P(TTTTT)[/tex]

First, we calculate the number of possible outcomes

A coin has 2 faces; Since the coin is to be tossed 5 times;

[tex]Outcome = 2^5[/tex]

[tex]Outcome = 32[/tex]

There is only one outcome of TTTTT;

So:

[tex]P(TTTTT) = \frac{1}{32}[/tex]

Answer:

It is indeed 63

Step-by-step explanation:

The easy way to go about this is to recognize that if the triangles are similar, the ratio between the similar sides will be the same.

Notice:

4/5 = 36/45

So:

4/7 should = 36/x

If:

4/7 = 36/x

4x/7 = 36

4x = 36*7

x=36*7/4

x=63

What is the question of it ?

Answer:

10.6666666667 is your answer

just round this to the nearest tenth

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Answer:

  10 2/3

Step-by-step explanation:

Multiplication works nicely on problems involving repeated addition:

  2 2/3 +2 2/3 + 2 2/3 +2 2/3 = 4 × (2 2/3) = 4×2 +4×2/3 = 8 +8/3

  = 8 + 2 2/3 = 10 2/3

Answer:

he casted 4.3. away

Step-by-step explanation:

Answer:

Option A, 0.3

Step-by-step explanation:

Step 1:  Convert the fraction into a decimal

Technically, 1/3 is an irrational number meaning that it never ends.  However, if we round it, it would round to 0.3 since 1/3 = 0.3333333.....

Answer: Option A, 0.3

Answer:

[tex]y=-2x+6[/tex]

Step-by-step explanation:

Slope-intercept form is given as [tex]y=mx+b[/tex], where [tex]m[/tex] is slope and [tex]b[/tex] is the y-intercept.

To find the slope of a line that passes through two points [tex](x_1, x_2)[/tex] and [tex](y_1, y_2)[/tex], use the slope formula:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1, y_1)\implies (1, 4)\\(x_2, y_2)\implies (0, 6)[/tex]

The slope of the line that passes through these two points is:

[tex]m=\frac{6-4}{0-1}=\frac{2}{-1}=-2[/tex]

Now substitute [tex]m=-2[/tex] and any point to solve for [tex]b[/tex]:

[tex]y=mx+b,\\6=-2(0)+b,\\6=0+b,\\b=6[/tex]

Therefore, the slope-intercept form of a line that is represented by the table is [tex]\boxed{y=-2x+6}[/tex]

Step-by-step explanation:

this Is hard to find.............

Answer:

The numbers should be even, it means the unit digits are 4, 6 or 8.

The numbers should be minimal, it means the hundred's digits are 4 and 5.

With this we have possible numbers:

The options are:

The sum of the two numbers is:

0.181818… = 18 (0.010101…)

… = 18 (0.01 + 0.0001 + 0.000001 + …)

… = 18 (1/100 + 1/100² + 1/100³ + …)

… = 18 (1 + 1/100 + 1/100² + 1/100³ + …) - 18

Then you have

[tex]0.181818\ldots = \displaystyle18\sum_{k=0}^\infty\frac1{100^k} - 18 = \frac{18}{1-\frac1{100}} - 18 = \boxed{\frac2{11}}[/tex]

Answer:

[tex]k = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

The attached triangles

Required

The scale factor

From the attachment, we have:

[tex]TU = 4[/tex]

[tex]QR = 20[/tex]

So, the scale factor from PQR to STU is:

[tex]k = \frac{TU}{QR}[/tex]

[tex]k = \frac{4}{20}[/tex]

[tex]k = \frac{1}{5}[/tex]

These are similar triangles, therefore their sides are proportional.

36 / 24 = PO / 36

24PO = 1296

PO = 54

Hope this helps!

Answer:

A is the answer

Step-by-step explanation:

A

plz mark it brainlist

Answer:

plz check ur school solution down.

Step-by-step explanation:

Step-by-step explanation:

this is not complicated at all. first and second graders can do a-c (come on, you know how to calculate the area of a rectangle) and with some imagination also d and e.

this is meant for you to actually do it so that you get a feeling for these things.

I will therefore leave the pure calculation to you.

and I will give you some help for the conceptual/ theoretical part.

the area of a rectangle is, of course, length × width (or height some on the view you have on an object).

let's just call them l and w.

so the regular area is

Ar = l×w

now one dimension (or example and for the width, but it does not matter, it is the same for the length) is doubled.

it simply means the new width is twice the old width.

so the area with a double width is

A2w = l×(2×w) = 2×(l×w)

so, that means also the area is doubled compared to the regular area.

now, both dimensions are doubled.

A2w2l = (2×l)×(2×w) = 4×(l×w)

so, the area grew 4 times a large as the regular area.

what is the rule here ?

let's triple the dimensions.

A3w3l = (3×l)×(3×w) = 9×(l×w)

as you can easily see : the new area grows with the square of the scaling factor, when we change both dimensions equally.

the reason is simple - as our little equations show, we have to multiply in the scaling factor of every dimension in play.

therefore, the new area grows with the product of the scaling factors of the involved dimensions. if both scaling factors are the same, then the area grows therefore by the square of the common factor.

and this principle applies to every shape, where the area is constructed out of 2 dimensions. any other additional multiplication factors don't matter for this, because this is all one big multiplication of several factors, and if you multiply one of these factors by an additional factor, the whole result changes by that factor.

Answer:

D.21

Step-by-step explanation:

MP=MV - PV= 67 -46 = 21

Answer:

(3,8) ; (-3,-2) ; (6,13)

Step-by-step explanation:

A linear equation in Slope Intercept Form is given to us and we need to write the ordered pairs for x and y . The given equation is ,

[tex]\rm\implies y =\dfrac{5}{3}x + 3 [/tex]

For finding the ordered pairs , substitute different values of x to get different values of y.

Put x = 3 :-

[tex]\rm\implies y =\dfrac{5}{3}\times 3 + 3 [/tex]

[tex]\rm\implies y = 5+ 3 [/tex]

[tex]\rm\implies y =8[/tex]

Put x = -3 :-

[tex]\rm\implies y =\dfrac{5}{3}\times -3 + 3 [/tex]

[tex]\rm\implies y = -5+ 3 [/tex]

[tex]\rm\implies y =-2[/tex]

Put x =6 :-

[tex]\rm\implies y =\dfrac{5}{3}\times 6 + 3 [/tex]

[tex]\rm\implies y = 10+ 3 [/tex]

[tex]\rm\implies y =13[/tex]

Therefore ,

[tex]\small\implies\boxed{\rm\blue{ Odered \ Pairs \ = (3,8) ; (-3,-2) ; (6,13) }}[/tex]

Answer:

C

Step-by-step explanation:

When she first noticed the problem

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Answer:

  (a) sum: (a+c) +(b+d)i

     product: (ac -bd) +(bc +ad)i

  (b) (b+d)=0 and (bc+ad)=0 ⇒ a=c, d=-b or b=d=0

Step-by-step explanation:

(a) Combining like terms the sum is ...

  (a +bi) +(c +di) = (a+c) +(b+d)i . . . . sum

And the product is ...

  (a+bi)(c+di) = ac +(ad+bc)i +bd·i²

Since i = √-1, i² = -1 and the product can be written as ...

  (a+bi)(c+di) = (ac-bd) +(ad+bc)i . . . . product

__

(b) If both the sum and product are real numbers, then we have ...

  b +d = 0

  ad +bc = 0

The first equation tells us d = -b. Substituting that into the second equation, we get ...

  a(-b) +b(c) = 0

  b(c -a) = 0

The zero product rule tells us this will be true if and only if b = 0 or c = a.

  if b = 0, then d = 0 and both numbers are real.

  if c = a, then c+di = a-bi and the numbers are conjugates.

Hence, if both the sum and product are real, both are real numbers or they are conjugates.

Answer:

441.66667 pounds

Step-by-step explanation:

divide 350/42 then multiply the quotient by 53

9514 1404 393

Answer:

  B. The lengths of two of the triangle's sides and the measure of the angle between them

Step-by-step explanation:

The usual formulation of the law of cosines is something like this:

  c² = a² +b² -2ab·cos(C)

where 'c' is the side opposite angle C, and 'a' and 'b' are the other two sides. That is, to use this formula directly, one needs two side lengths and the measure of the included angle.

_____

Additional comment

One can use the law of cosines to solve a triangle when any two sides and one angle are known. The use of the formula will give a quadratic in the unknown side length, if it is not the side opposite the known angle. As with the law of sines, if the angle is opposite the shorter of the two given sides, there may be two solutions for the length of the third side.

Answer:

The answer is B.)

Step-by-step explanation:

9514 1404 393

Answer:

  2%

Step-by-step explanation:

The amount of interest is the difference between the total amount and the principal amount:

  N88 -N80 = N8 . . . . the amount of interest

The interest amount is given by the formula ...

  I = Prt

Solving for r, we find ...

  r = I/(Pt) = 8/(80×5) = 1/50 = 2%

The rate of simple interest paid was 2%.

The minitab report isn't given.

Answer:

H0 : μ = 2 um

H1 : μ ≠ 2 um

Step-by-step explanation:

The mean surface roughness of coated interior pipe is given as 2um.

This refers to the population mean, μ = 2 um

Therefore, the null hypothesis which usually aligns with the population mean value will be stated as :

H0 : μ = 2 um

The alternative hypothesis is used to test the claim that the mean surface roughness is different from 2 ; hence no direction is given, this is thus a 2 - tailed test

H1 : μ ≠ 2 um