what type of sequence is 99,33,3,1

Answer:

m^4 - 225c^10 = (m^2 - 15c^5 )(15c^5 + m^2)

4.8xy + 36y^2 + 0.16x^2 = (6y + 0.4x)^2

Answer:

7,854,000

because the 308 people would have to be at least 500 to round up to 7,855,000

The solution set -18 and 0 are the true values of the absolute value equation

The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

From the figure, the solution sets of the absolute value equation are given as:

x = {-18, 0}

Calculate the mean of the solution set

Mean = 0.5 * (-18 + 0)

Mean = -9

Calculate the difference of the solution set divided by 2

Difference = (0 + 18)/2

Difference = 9

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x + 9| = 9

Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

Read more about absolute value equation at:

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Answer:

|x+9|=9

Step-by-step explanation:

Answer:

1km=1000m... thats basically the answer so the nearest mail box is 3000M

it is just still 5 I believe :P hope this helps

Step-by-step explanation:

please mark me as brainlest

ans

[tex] \frac{3x}{x + 4} [/tex]

Answer:

  (c)  (15, -30)

Step-by-step explanation:

A proportional relationship has the equation ...

  y = kx

The value of the constant of proportionality is the ratio of y to x:

  k = y/x = 40/-20 = -2

__

The point that is on the line y = -2x is the point (15, -30).

=====================================================

Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

[tex]\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}[/tex]

Where

y₁ is the y-coordinate of the point that the line passes through

m is the slope

x₁ is the x-coordinate of the point that the line passes through

In this case,

y₁ is equal to -8

m is equal to 3

x₁ is equal to 1

Plug in the values:

[tex]\longrightarrow\sf{y-(-8)=3(x-1)}[/tex]

Simplify:

[tex]\longrightarrow\sf{y+8=3(x-1)}[/tex]

and we're done!

=========================================================

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

Answer:

1. a) SR = 23

b) QV = 25

c) QT = 20

d) PQ = 40

e) VS = 4·√6

2. a) LH = 16

b) EL = 2·√185

c) JG = 30

d) EK = 22

e) KG = 30

3. a) XT = 37

b) TZ = 34

c) ZW = 17

d) XZ = 21

e) SY = 69

Step-by-step explanation:

The circumcenter ΔPQR is the center of the circle that circumscribes ΔPQR

The length of the radius of the circle ≡ VR = VP = QV = 25

a) Given that VR ≅ VP - Radius of circumcircle

VS ≅ VS Reflective property

∠VPS ≅ ∠VRS - Base angles of an isosceles triangle

Right triangle VPS ≅ Right triangle VRS -Hypotenuse and one Leg HL congruency

Therefore, SR ≅ PS -Corresponding parts of congruent triangles are congruent CPCTC

SR + PS = PR = 46

SR + PS = SR + SR = 2·SR = 46

∴ SR = 46/2 = 23

b) QV = VR = 25 = Radius of circumcircle of ΔPQR -Given V = center and Q = vertices of the triangle circumscribed by the circle referred to in the question

c) QT = √(QV² - TV²) = √(25² - 15²) = √400 = 20

d) TV ≅ TV - Reflexive property of congruency

ΔTQV ≅ ΔTVP - Hypotenuse and one Leg (HL) congruency

QT ≅ TP -Corresponding parts of congruent triangles are congruent CPCTC

PQ = QT + TP Given

∴ PQ = QT + QT since QT = TP

PQ = 2·QT = 2 × 20 = 40

e) VS = √(VR² - SR²) = √(25² - 23²) = √96 = 4·√6

2.  The incenter is the center of the incircle of ΔEFG

 a) LH = LK = JL = 16 -Radius of incircle of ΔEFG

b) EL = Hypotenuse of right triangle LHE = √(LH² + EH²) = √(16² + 22²) = √740 = 2·√185

c) JG = Leg length of right triangle JGL = √(LG² - JL²) = √(34² - 16²) = √900 = 30

d) EK = Leg length of right triangle LKE = √(EL² - LK²) = √(740 - 256) = 22

e) KG = Leg length of right triangle LKG = √(LG² - LK²) = √(34²- 16²) = √900 = 30

3. Point Z id the centroid of ΔRST

a) XT = XS - point X on ST bisected by median line RX

ST = XT + XS = XT + XT = 2.XT = 74

XT = 74/2 = 37

b) TZ = 2/3×TW  - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

TZ = 2/3×51 = 34

c) TZ + ZW = TW

∴ ZW = TW - TZ = 51 - 34 = 17

d) RZ = 42 = 2/3×RX - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

∴ RX = 3/2×42 = 63

RZ + XZ = RX - Given

XZ = RX - RZ = 63 - 42 = 21

e) SZ = 2/3×SY - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

SZ + ZY = SY

∴ ZY = SY - SZ = SY - 2/3×SY = 1/3×SY = 23

Which gives;

SY = 3 × 23 = 69.

Answer:

20. 2x+y

21. 4

22. x+y

Step-by-step explanation:

20. 9x+2y - x-2y find your LCM

4 4

=(9x+2y)-(x-2y) clear bracket

4

=9x+2y-x+2y collect terms

4

=9x-x+2y+2y

4

=8x+4y factorize

4

=4(2x+y)

4

=2x+y

with this, you will understand the following

21. 4x + 8y

x+2y x+2y

=4x+8y

x+2y

=4(x+2y)

x+2y

=4

22. 2x-y + 2x+5y

4 4

=2x-y+2x+5y

4

=4x+4y

4

=4(x+y)

4

=x+y

Step-by-step explanation:

All Natural Number (1,2,3,4,5...) are integers

All Whole numbers (0,1,2,3,4...) are not natural numbers (1,2,3,4...)

All integers are rational numbers

All real numbers are not irrational numbers as real nimber contain both rational and irrational numbers hence it is false.

Hence statement 1 and statement 3 are true

Answer:

The answeris D

Step-by-step explanation:

All whole numbers are natural numbers; natural numbers are numbers we use for counting 1, 2, 3....and so on, so that makes them whole because thay have no fraction, or decimils.

Answer:

9 packages of beads

Step-by-step explanation:

volume of cuboid = area of base × height

⇒ volume of jewelry box = (15 × 12) × 6

                                          = 180 × 6

                                          = 1080 in³

Given:

Number of packages of beads = volume of box ÷ volume of 1 package of beads

⇒ Number of packages of beads = 1080 ÷ 120

                                                        = 9

Answer:

Step-by-step explanation:

3 * 1/2 * 5 * 4.5

= 33.75 fT^2.

Answer:

60

Step-by-step explanation:

By the triangle midsegment theorem, 2(SU)=RV.

2(w-30)=w, meaning w=60.

So, RV=60 as well

a. answer:_77

2_ (7 * 9) _ 16

2_ (63) _16

_61_16

_77

The volume of the solid created upon dilation bythe scale factor of 3 is 5832 units³.

An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.

Dimensions of the dilataed solid = 6 x 3 = 18

Volume = 18³ = 5832 units³

To learn more about dilation, please check: brainly.com/question/3457976

Answer:

V≈220.89cm³

Step-by-step explanation:

Answer: 220.9

4/3 π(3.75)^3=220.9

Answer: 1/4 .!

Step-by-step explanation: hope this helped :).

Answer:

Answer: 1.4

Step-by-step explanation:

P(Northern pike) = 0.7

P(walleye) = 0.3

If 2 fishes are caught :

Number of northern pike (x) :

X = 0

P(walleye 1 st) * p(walleye 2nd) = (0.3 * 0.3) = 0.09

X = 1

P(walleye 1st)*P(Northern pike 2nd) OR P(Northern pike 1st)*P(Walleye 2nd)

= (0.3 * 0.7) + (0.7 * 0.3)

= 0.21 + 0.21

= 0.42

P(x = 2)

P(northern pike 1st) * P(northen pike 2nd)

0.7 *0.7 = 0.49

X: _ 0 _ 1 __ 2

P(x): ___ 0.09 ___ 0.42 ____ 0.49

Expected value of northern pikes :

(0* 0.09) + (1 * 0.42) + (2 * 0.49)

0 + 0.42 + 0.98

= 1.4

Expected value of the number of walleye is 0.5.

The expected value exists as a long-run average value of random variables. It also demonstrates the probability-weighted average of all possible values. Expected value exists as a generally utilized financial concept.

W = # of walleye 0, 1, 2

P(W) 0. 49, 0. 42, 0. 09

To estimate the expected value of the number of walleye.

E(X) =  number of walleye

E(X) = (0 [tex]\times[/tex] 0.49) + (1 [tex]\times[/tex] 0.42) + (2 [tex]\times[/tex] 0.09)

E(X) = 0 + 0.42 + 0.08

E(X) = 0.5

Therefore, the number of walleye expected value = 0.5.

To learn more about expected value

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Wheres the ? n answers at for #3 n #4

The amount of change Lucy receives if she paid with few $20 bills is $12.84

Total cost of pants = $21.79 × 4

= $87.16

If the total cost of the pants exceeds $80, then she paid with 5 $20 bills

5 $20 bills = $100

Her change = $100 - $87.16

= $12.84

Learn more about cost:

https://brainly.com/question/2021001

Answer:

[tex]\sf 3x(3x+y)(2x-1)[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf 18x^3 + 6x^2y - 9x^2 - 3xy[/tex]

Factor out common term [tex]\sf 3x[/tex]:

[tex]\sf \implies 3x(6x^2 + 2xy - 3x - y)[/tex]

Factor [tex]\sf (6x^2 + 2xy - 3x - y)[/tex]

Rearrange:

[tex]\sf \implies 6x^2 - 3x+ 2xy - y[/tex]

Factor pairs of terms:

[tex]\sf \implies 3x(2x-1)+ y(2x - 1)[/tex]

Factor out common term (2x - 1):

[tex]\sf \implies (3x+y)(2x-1)[/tex]

Final solution:

[tex]\sf \implies 3x(3x+y)(2x-1)[/tex]

Answer:

6x2y(3xy2 − 1)

Step-by-step explanation:

i got it right on my quiz :D

Answer:

a) 12x + 22   b) 17[tex]x^{2}[/tex] - x

Step-by-step explanation:

Perimeter is the sum of the each side length.

The first example is a rectangle so the (4x+8) and the (2x+3) are doubled.

(4x+8) x 2 = 8x+16

(2x+3) x 2 = 4x + 6

12x+22

(6[tex]x^{2}[/tex] - 12x) + (2[tex]x^{2}[/tex] + x) + (9[tex]x^{2}[/tex] + 10x)

combine like-terms.

17[tex]x^{2}[/tex] - x

Answer:

12x + 22 for the rectangle, 17x^2 - x for the triangle

Step-by-step explanation:

The perimeter of a square/rectangle is equal to 2*width + 2*length

So for the rectangle, it would be 2*(4x + 8) + 2*(2x + 3)

This can be further simplified as 8x + 16 + 4x + 6

Which can be further simplified as 12x + 22

The perimeter of a triangle is equal to length if side one + length of side two + length of base

That would be (6x^2 - 12x) + (2x^2 + x) + (9x^2 + 10x)

Which becomes 8x^2 - 11x + (9x^2 + 10x)

17x^2 - x

Answer:

19

Step-by-step explanation:

Do what is in parenthesis first.

(4 - 3) = 1

(27 - 2 * 3) = (27 - 6) = 21

Now the equation looks like this:

1 - 3 (1) + (21) =

1 - 3 + 21 =

19

Answer: Yes

Step-by-step explanation:

If you draw the altitude of an isosceles triangle from the vertex angle, then the two triangles formed are congruent, meaning the base angles are congruent  by CPCTC.

Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

An isosceles triangle is a triangle that has at least two sides of equal length.

When an altitude is drawn to the base of the isosceles triangle, it bisects the vertex angle. As it bisects the base, the two congruent triangles are created.

Hence, Yes, the base angles of an isosceles triangle are congruent because in n isosceles triangle two of its sides are always congruent, and also angles opposite to congruent sides are congruent.

To learn more about the isosceles triangle click the link given below.

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Considering the margin of error of a confidence interval, it is found that the correct option is:

It would be half as wide.

It is modeled by:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which:

From this, we get that the margin of error is inversely proportional to the square root of the sample size. Then, multiplying the sample size by 4, when it changes from 50 to 200, cuts the margin of error in half, making the interval half as wide.

More can be learned about the margin of error of a confidence interval at https://brainly.com/question/25890103

Answer: It would be half as wide

Step-by-step explanation:

If the principal had used a sample size of 200 students rather than 50 students, the length of the second interval would be half as wide compared to the original interval.

The width of a confidence interval is inversely proportional to the square root of the sample size. In this case, the sample size is multiplied by 4 (from 50 to 200), so the square root of the sample size is doubled. As a result, the width of the confidence interval is divided by 2, making it half as wide.

Therefore, the correct answer is: It would be half as wide.