simplify (4a-3)(a-9)=4a² -39a+27

Answers

Answer 1

Answer:

Step-by-step explanation:

0=0


Related Questions

-8|x/3+1|>-8

Please help me

Answers

Answer:

-6<x<0

Step-by-step explanation:

-8|x/3+1|>-8

-8|x/3+1|/(-8)>-8/(-8)

|x/3+1|<1

x/3+1<1

x/3<0

x<0

x/3+1>-1

x/3>-2

x>-6

-6<x<0

Hi, could I get help with this?

Answers

The segment AB is perpendicular to the segment CD because the two angles it creates are each 90 degrees .

A line is said to be perpendicular to another line if the two lines intersect at a right angle . The segment AB can be called the perpendicular from A to the segment CD . The point B is called the foot of the perpendicular from A to segment CD or simply , the foot of A on CD .If a first line is perpendicular to a second line , then the second line is also perpendicular to the first .

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A point at the origin is repeatedly translated c units horizontally and d units vertically. Write the coordinates
of the translated point if the translation sequence is repeated n times.

Answers

The coordinates of the translated points if the translation sequence is repeated n times according to the task content is; (nc, nd).

What are the coordinates of the translated point after n translation sequences?

It follows from the task content that the point in discuss is at the origin. Hence, the point is; (0, 0).

Also, since the point is repeatedly translated c units horizontally and d units vertically, it follows from transformations that the resulting point is;

((0+c), (0+d))

Ultimately, when the translation sequence is repeated n times; the resulting pair of coordinates is; ((0+nc), (0+nd)).

And upon simplification, we have; (nc, nd).

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Does one frequency distribution provide a better summary of the data than the other? explain.

Answers

Changing the class width from 4,000 to 3,000 increases the details of the frequency distribution, thereby providing a better summary of the data.

How can changing the class width affect the frequency distribution obtained?

Based on a similar question, the possible part of the question appear left out includes.

To construct a second frequency distribution with a class width of 4,000, where the class width of the first frequency distribution is 3,000

Construct a frequency histogram using the values in the frequency distribution constructed above.

The correct response is; Yes, the value or magnitude categories of the data are increased using the smaller class width of 3,000 such that more details about the influence of the different classes on the results are seen, which provides a better summary of the information in the data than the frequency distribution that a 4,000 class width.

The overall shape of the frequency histogram remains almost the same for both class widths

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How is ahow is a linear relationship between two variables measured in statistics? explain. select all the true statements.

Answers

The following are the linear relationships between two variables measured in statistics:

Correlation coefficients are a group of numerical measures of correlation.The correlation coefficient is between -1 and +1. Values near +1 or -1 indicate a strong linear relationship.The correlation coefficient remains constant when the values of x and y are swapped.

What is a linear relationship?A linear relation, or simply relation, among elements of a vector space or a module, is a linear equation with these elements as a solution in linear algebra. A linear relationship (or linear association) is a numerical term that describes a two-variable relationship that follows a straight line. Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

So,

The following are the linear relationships between two variables measured in statistics:

Correlation coefficients are a group of numerical measures of correlation.The correlation coefficient is between -1 and +1. Values near +1 or -1 indicate a strong linear relationship.The correlation coefficient remains constant when the values of x and y are swapped.

Therefore, the following are the linear relationships between two variables measured in statistics:

Correlation coefficients are a group of numerical measures of correlation.The correlation coefficient is between -1 and +1. Values near +1 or -1 indicate a strong linear relationship.The correlation coefficient remains constant when the values of x and y are swapped.

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PLEASEEE HELPPPPP ILL GIVE BRAINLIEST

Answers

60-100 bpm and that is the range of a 16 year old heart beat

Answer:

Step-by-step explanation:

Lower limit of range:

H = [tex]\frac{7}{10}[/tex](220-a)

a = 16 [given]

∴ H = [tex]\frac{7}{10}[/tex](220-16)

H = [tex]\frac{7}{10}[/tex](204)

H = [tex]\frac{7}{10}[/tex]×[tex]\frac{204}{1}[/tex]

H = [tex]\frac{1428}{10}[/tex]

H = 142.8

H = 143 beats per minute [as an integer]

Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.

10
6
2
13

Answers

Answer:

10

Step-by-step explanation:

|-2(2) + (-3)(2)|

2(2) + 3(2)

4 + 6

| | indicate absolute value, negative numbers are turned to positive numbers in absolute value, making B and C (negative values) into positive values.

Rosa paid $107.40 for 12 audio books that were all the same price. Which is the best estimate of the cost of each audio book?

Answers

Answer:

$8.95

Step-by-step explanation:

Divide 107.4 by 12 and you end up with the price of each audio book.

The same can be said for each problem you want find the individual amount of

Answer:

Each audio book costs $8.95

Step-by-step explanation:

Since 12 audio books that are at all the same prize equal $107.4, therefore in order to find the total of each book we divide $107.4 by 12

➟ 107.4 ÷ 12

➟ 8.95

∴ $8.95 is the cost of each book

very important please help due today please

Answers

Answer:

According to my the answer is 32

Step-by-step explanation:

cuz 4 ÷ 1/8 becomes 4×8/1

which is 32

-12=6+2/3y pls helpppp

Answers

Answer:

Y= (-27)

Step-by-step explanation:

Well, I am assuming your just looking for Y. So what I did was you'd want to get rid of the fraction first. I multiplied 3 to all the numbers. so -12(3) = 6(3) + 2y since the bottom 3 from the fraction cancelled out with the (3). so now it would be -36=18+2y. -54/2=2y/2 which leads to -27. So I think Y= -27.

You start a savings account with $200 and save $30 each month. Let f(n) be the amount in the account before the nth month. How much money will you have invested at one year?

Answers

The money you will have invested at one year is $560

What are linear equations?

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

How much money will you have invested at one year?

The given parameters are:

Initial = $200

Rate = $30

Let the number of months be n

So, we have

f(n) = Initial + Rate * n

This gives

f(n) = 200 + 30n

There are 12 months in a year

So, we have:

f(12) = 200 + 30 * 12

Evaluate

f(12) = 560

Hence, the money you will have invested at one year is $560

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Solve for the value of q

Answers

Answer:

q = 20

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

180 - 78 = 102

so

5q+2 = 102

subtract 2 from both sides

5q = 100

100 / 5 = 20

5q / 5 = q

q = 20

Hope this makes sense.

Cecilia bought 187.6 pounds of crushed limestone in a total of eight bags. if all the bags were identical, what was the weight of each?

Answers

The weight of each bag is 23.25 pounds.

For given question,

Cecilia bought 187.6 pounds of crushed limestone in a total of eight bags.

If all the bags were identical, we need to find the weight of each bag.

Let 'm' be the weight of each bag.

As Cecilia bought 187.6 pounds of crushed limestone in a total of eight bags and all the bags were identical, we get an expression.

8 × m = 187.6

now we solve above expression to find the value of m i.e., to find the weight of each bag.

⇒ 8 × m = 187.6

⇒ m = 187.6 / 8

⇒ m = 23.25 pounds

Therefore, the weight of each bag is 23.25 pounds.

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PLEASE HElP 25 points math

Answers

Answer: 4q^2

Step-by-step explanation:

(-2q)^2=

(-2*q)^2=

(-2)^2 * q^2=

4 * q^2=4q^2

50 points plus brainliest please help

Answers

Answer:

x = 14Angle 1 = 6°Angle 2 = 84°

Step-by-step explanation:

from the sign it's a right angle, so 90°

Find x

90 = x - 8 + 6x

90 + 8 = 7x

98 = 7x

x = 98 : 7

x = 14

------------------

check

90 = 14 - 8 + 6 * 14       (remember pemdas)

90 = 14 - 8 + 84

90 = 90

the answer is good

Find angle 1

x - 8

14 - 8 =

Find angle 2

6x

6 * 14 = 84°

--------------------

check

84 + 6 = 90°

the answer is good

Answer:

[tex]\textsf{a)} \quad \textsf{Equation}: \quad \boxed{x-8+6x=90}[/tex]

[tex]\begin{aligned}\textsf{b)} \quad m \angle 1 & =\boxed{6^{\circ}}\\ m \angle 2 & =\boxed{84^{\circ}}\end{aligned}[/tex]

Step-by-step explanation:

Part (a)

From inspection of the given diagram, the sum of the two angles is 90° (indicated by the right angle sign):

[tex]\implies m \angle 1+m \angle 2=90^{\circ}[/tex]

[tex]\implies (x - 8)^{\circ} + (6x)^{\circ} = 90^{\circ}[/tex]

[tex]\implies x-8+6x=90[/tex]

[tex]\textsf{Equation}: \quad \boxed{x-8+6x=90}[/tex]

Part (b)

To find the measure of each angle, solve the equation for x:

[tex]\implies x-8+6x=90[/tex]

[tex]\implies x+6x-8=90[/tex]

[tex]\implies 7x-8=90[/tex]

[tex]\implies 7x-8+8=90+8[/tex]

[tex]\implies 7x=98[/tex]

[tex]\implies \dfrac{7x}{7}=\dfrac{98}{7}[/tex]

[tex]\implies x=14[/tex]

Substitute the found value of x into the expression for each angle:

[tex]\implies m \angle 1=(x-8)^{\circ}[/tex]

[tex]\implies m \angle 1=(14-8)^{\circ}[/tex]

[tex]\implies m \angle 1=\boxed{6^{\circ}}[/tex]

[tex]\implies m \angle 2=(6x)^{\circ}[/tex]

[tex]\implies m \angle 2=(6 \cdot 14)^{\circ}[/tex]

[tex]\implies m \angle 2=\boxed{84^{\circ}}[/tex]

Explain why subtracting a positive number is the same as adding its inverse.

Answers

Explanation:

To add a negative number, we are basically subtracting it because of this:
Example:
10 - 5 = 5

10 + (-5) = 5

The negative sign cancels out the positive which makes it into a subtraction problem instead.

107 + 78 will mark briniest pls help

Answers

Answer:

185

Step-by-step explanation:

Answer:

185

Factor:

5×37

if a figure is a rectangle, then it has four sides

Answers

Answer:

True

(If it has 4 sides it is also known as a Quadrilateral!)

Step-by-step explanation:

Answer:

yes

the reson for htis is b/c retangles are qudrilateral and quadtrialterals have four sides

Find the sum of the first 13 terms of the sequence 2, 5, 8, 11,....

Answers

The sum of the first 13 terms is 260

How to calculate the sum of the first 13 terms ?

The first term(a) is 2

The common difference(d) is 3

n= 13

The formular is

n/2(2a + (n-1)d)

= 13/2 [ 2(2) + (13-1)3]

= 6.5 [4 + 12(3)]

= 6.5 [4 + 36]

= 6.5(40)

= 260

Hence the sum of the first 13 terms is 260

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Determine whether the line integral of each vector field (in blue) along the semicircular, oriented path (in red) is positive, negative, or zero.

Answers

Considering the images (a),(b),(c),(d),(e),(f) the oriented path is

(a) Negative

(b) Positive

(c) Positive

(d) Zero

(e) Zero

(f) Zero

calculating each quadrant's line integral and symmetry.

In calculus, a line integral is an integral where the function being evaluated is along a curve. A line integral is also known as a route integral, curve integral, or curvilinear integral.

What does a Line integral mean?

A line integral makes it possible to figure out a surface's area in three dimensions. Numerous situations call for the use of line integrals. They can be used, for instance, in electromagnetics to determine the work done on a charged particle moving along a curve in a force field that is represented by a vector field.Path, curvilinear, and curve integrals are other terms for line integrals. There are several uses for line integrals, including electromagnetics, where it is used to calculate the force exerted on a charged particle moving along a curve in a force field created by a vector field.

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Yo can anyone help me, you’ll get BRAINLY if you answer correctly

Answers

We get the translation rule as (x-4, y+5) for triangle ABC.

We are given a triangle:

ABC where

A = (3, -1)

B = (7, -5)

C = (-2, -2)

And, we are also given the translation of the triangle as A'B'C'

where

A' = (-1, 4)

B' = (3, 0)

C' = (-6, 3)

We need to tell the translation rule for it,

For the x coordinate, we can see that:

- 1 - 3 = - 4

3 - 7 = - 4

- 6 - (-2) = -4

So, the rule for x coordinate will be:

x - 4

Now for y coordinate:

4 - (-1) = 5

0 - (-5) = 5

3 - (-2) = 5

So, the rule for y coordinate will be:

y + 5

Translation rule then becomes:

(x-4, y+5)

Therefore, we get the translation rule as (x-4, y+5) for triangle ABC.

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A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the radius of the top of the can and let h be the height. The surface area of the cylinder, A , is A=2πr2+2πrh (two circles, one for the top and one for the bottom plus a rolled up rectangle for the sides).


A round cylinder with a circle top and base with radius r and a height of h




Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r , so we can write that as A(r)=2πr2+16πr. What is the domain of A(r) ? In other words, for which values of r is A(r) defined?




Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a function of A. This is the inverse function to A(r) , i. E. , to turn A as a function of r into r as a function of A.




r(A)=

Preview Change entry mode

Hints:


To calculate an inverse function, you need to solve for r. Here, you would start with A=2πr2+16πr. This equation is the same as 2πr2+16πr−A=0 which is a quadratic equation in the variable r , and you can solve that using the quadratic formula. You will want to keep A as a variable when you plug the values into the quadratic formula.

If you want to type in 3π+1x+1 in Mobius, in text mode you can type in (3*pi+1)/(x+1). There is more information in the Introduction to Mobius unit.



Part c: If the surface area is 100 square inches, then what is the radius r ? In other words, evaluate r(100). Round your answer to 2 decimal places.


Hint: To compute a numeric square root such as 17. 3−−−−√ , you could


Use a spreadsheet such as Microsoft Excel or OpenOffice Calc and type in =sqrt(17. 3)

Use a browser to connect to the Internet and type in sqrt(17. 3) into a search field

Use a calculator



The radius is

inches if the surface area is 100 square inch

Answers

a) r>0 is the domain of A. b) r = (4/2π + 16)^1/2 - 4

A(r) is a function representing the surface area of a cylinder of height = 8inches and radius = r.

A(r) = 2п[tex]r^{2}[/tex] + 16пr

r must be a positive number, as we can't have a radius of negative length, so the domain of A(r)  is r>0.

Solving for r in terms of A is an odd question, and a little challenging but possible using completing the square:

A/2п = [tex]r^{2}[/tex] + 8r

A/ 2п + 16 = [tex]r^{2}[/tex] + 8r + 16

A/2п + 16 = [tex](r + 4)^{2}[/tex]

r =( A/2п + 16) ^1/2 - 4

Therefore we get to know the range of r i.e., r>0 and radius = (A/2п + 16 )^1/2 - 4

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Find the lengths of ABC and BD explain pls

Answers

Answer: The length of AB =4 units

               The length of BD = 2.4 units.

Step-by-step explanation:

Given data,

                  AD = 3.2 unit

                  BC  = 3 unit

                 CD  = 1.8 units

Find :         AB =? units

                  BD=? units

We can use the formula of Pythagorean theorem,

Define Pythagorean theorem :

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

Hypotenuse2 = Perpendicular2 + Base2

                  c2 = a2 + b2

Where “a” is the perpendicular,

“b” is the base,

c” is the hypotenuse.

Let be a ΔABC,

                           [tex](AB)^{2} = (BC)^{2} +(AC)^{2}[/tex]

From the above formula now  determined  the value of AB and BD,

Firstly , find the value of BD

In ΔBDC, by applying Pythagorean theorem,

                             [tex](BC)^{2} = (BD)^{2} + (DC)^{2}[/tex]             (Eq - 1)

Substitute BC and CD values in equation 1,

            BC  = 3 units and CD = 1.8 units

So,

We can write,

                            [tex]3^{2} = (BD)^{2} +(1.8)^{2}[/tex]

                            9 = [tex](BD)^{2}[/tex] + 3.24

                            [tex](BD)^{2}[/tex] = 9 - 3.24

                            [tex](BD)^{2}[/tex] = 5.76

                             [tex]BD = \sqrt{5.76}[/tex]

                             BD = 2.4 units             (Eq - 2)

Now find the value of AB,

In ΔABD, by applying Pythagorean theorem,

                               [tex](AB)^{2} = (AD)^{2} +(BD)^{2}[/tex]           (Eq - 3)

Substitute AD and BD values in equation 3,

            AD  = 3.2 units and BD = 3 units

So,

We can write,

                                [tex](AB)^{2} = (3.2)^{2} + 3^{2}[/tex]

                                 [tex](AB)^{2}[/tex] = 10.24 + 5.76

                                 [tex](AB)^{2}[/tex] = 16

                                  AB = [tex]\sqrt{16}[/tex]

                                   AB = 4 units

Therefore,

The length of AB =4 units

The length of BD = 2.4 units.

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If 8 tacos cost $5.60. Find the unit price. Round to the hundredths if necessary.

Answers

Answer:

0.7¢

Step-by-step explanation:

Find unit price

         [tex]8 \cdot 7 = 56\\= 56 - 56\\= 0.7\:\mathrm{R0}[/tex]

ms. justen had 250 students. every year after she had 100 students. calculate the amount of students she's had in 7 years

Answers

The students she's had in 7 years is 850.

How to calculate the value?

It should be noted that we want to find the 7th term. This will be:

a + (n - 1)d

a = First term = 250

d = Difference = 100

n = Number = 7

Therefore, a + (n - 1)d

= 250 + (7 - 1)100

= 250 + 600

= 850

Therefore, the students she's had in 7 years is 850.

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pls help What is the sum? will mark brainiest

47+ 85⎯⎯⎯⎯⎯⎯⎯

Answers

Answer:

132

Step-by-step explanation:

The awsner is 132
By doing 47+ 85!

05-x=13 solve for x
i need help ASAP

Answers

Answer: X= -8

Step-by-step explanation:

Rearrange your terms:

5-X=13

-x+5+13

Subtract 5 from both sides

Simplify those = -X = 8

Dive both sides by same factor, -1

Simplify again

Solution= X= -8

Calculate the product below and give your
answer in scientific notation.
(5.2 × 10-2) × (8.0 × 10-4) = ?

Answers

Answer:

3800

Step-by-step explanation:

(52-2)×(8×10-4)

50(80-4)

50×76=3800

Solution in Scientific Notation:

[tex]3.8[/tex] × [tex]10^{3}[/tex]

Hope this helps!

The snallest flowering plant is the flowering aquatic duckweed found in australia. it is 0.0236 inch long and 0.0129 inch wide. write these dimensions as fractions in simplest form.

Answers

The dimension of the smallest flowering plant is 59/2500 in. long and 129/10,000 in. wide.

To convert Decimal into Fraction form:

Do the following Steps:

Step 1: Make a fraction with the decimal number as the numerator and a 1 as the denominator.

Step 2: Remove the decimal places by multiplication.

Step 3: Reduce the fraction.

Step 4: Simplify the remaining fraction to a mixed number fraction if possible.

Given,

The smallest flowering plant is the flowering aquatic duckweed found in Australia.

And it is 0.0236 inch long and 0.0129 inch wide.

Here we need to write these dimensions as fractions in simplest form.

Rewrite the decimal number as a fraction with 1 in the denominator

So,

=> 0.0236/1 and 0.0129/1

Now, Multiply to remove 4 decimal places. Here, you multiply top and bottom by 10⁴ = 10000.

Then we get,

=> 236/10000 and 129/10000

Now, reduce the fraction by dividing both numerator and denominator by GCF = 4,

=> 59/2500

But the fraction 129/10000 is not reducible.

Therefore, the fraction form is,

=> 59/2500 in. long and 129/10,000 in. wide.

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Albert bought 6 bags of candy. There were 7 pieces of candy in each bag. How many pieces
of candy did Albert buy?
pieces of candy

Answers

42 pieces of candy because math

42 bc 7x6 is 42!!!):$$/&/&2
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