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Find the surface area of the prism based on the net provided.

(Image is attached!!!)

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Polynomials are mathematical expressions made up of many terms.

To simplify a polynomial as much as possible, you must group all the like terms and rearrange them from higher to lower power.

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of any constant term is 0. The derivative of axⁿ it's naxⁿ⁻¹.

Multiply 3 x 3.

Subtract 1 from 3.

Multiply 2 by −12.

Subtract 1 from 2 and subtract 1 from 1.

For any term t, t¹ = t.

For any term t except 0, t⁰=1.

Answer: The solution of the polynomial 3x³ - 12x² - 2x-8 is 9x² - 24x - 2.

Answer:

awnser B and fbe is 55

Step-by-step explanation:

the entire picture is 180 so cut in half there for 90 ok abfe is 90 so bigger section is always 55 and smaller is 35 ok

If the measure of ∠ABD is 6.2 times greater than the measure of ∠CBD=25° and if ∠ FBE and ∠ EBD are congruent then ∠ FBE =65°.

Given that the measure of ∠ ABD is 6.2 times greater than the measure of ∠ CBD and ∠ FBE and ∠ EBD are congruent.

We are required to find the measure of ∠ CBD and ∠ FBE.

∠ABD=6.2*∠CBD--------1

∠ABD+∠CBD=180°

6.2 ∠CBD+∠CBD=180  (From equation 1)

7.2 ∠CBD=180

∠CBD=180/7.2

∠CBD=25°

∠ABD=6.2*25

=155°

∠ABD=90+∠EBD

155=90+∠EBD

∠EBD=155-90

∠EBD=65°

Because ∠ FBE and ∠ EBD are congruent, ∠ FBE =65°.

Hence if the measure of ∠ABD is 6.2 times greater than the measure of ∠CBD=25° and if ∠ FBE and ∠ EBD are congruent then ∠ FBE =65°.

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Answer:

Step-by-step explanation:Yikes. Just so we’re all clear—this is not a real SAT question.

So far, Adam’s record is 6 wins/30 games. If he plays x more games, his record will be:

image

You find the minimum x such that the fraction is greater than ½, which would mean he won more than ½ of his games.

Let’s do some math!

image

So if he plays 54 more games, and wins 2/3 of them, he’ll have the same number of wins as losses. Check on that to make sure: He’ll have played 30 + 54 = 84 games, and won 6 + (2/3)54 = 42 of them. Yep, that works.

Now here is where it gets tricky (and why this question is not SAT-caliber). Remember that he’s losing 1/3 of his games. If his 52nd, 53rd, and 54th additional games were win, win, loss, then he would have had, very briefly, a winning record after his 53rd additional game.

His 55th additional game is another chance at a winning record. If he loses that game, then he’ll win the next two, and have a winning record for sure by the 57th additional game. From there, if he continues winning 2/3 of his games, he’ll have a winning record forever.

To write in expanded form is to simply mean writing each number into its place value.

Answer:

101 squared not rational

-25 squared is rational

pi or any number times pi is not rational

Step-by-step explanation:

Answer: 4

Step-by-step explanation: 3%12=4

Answer:

.20   or   20%

Step-by-step explanation:

100 possible sets of two spin combos

  20 result in the desired 'next-door ' combo

       20/100 = .20   or 20 %

Answer:

-22.5

Step-by-step explanation:

-15- |-7.5|

after taking the absolute value off, -7.5 would become positive 7.5. But then the negative outside the absolute value makes it negative again.

-15-7.5

=-22.5

The simplified expression -15 - |-7.5| is equal to -22.5.

To simplify the expression -15 - |-7.5|, we'll follow these steps:

Evaluate the absolute value: |-7.5|.

The absolute value of a number is its distance from zero on the number line. In this case, |-7.5| is equal to 7.5 because 7.5 units away from zero.

Substitute the absolute value into the expression:

-15 - 7.5.

Perform the subtraction:

-15 - 7.5 = -22.5.

Therefore, the simplified expression -15 - |-7.5| is equal to -22.5.

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Answers:

- DH is correct because a line is connecting the two points D and H as shown in the image, forming a line segment.

- ED is correct because a line is connecting the two points D and E, forming another line segment, as shown in the drawing.

- EH is incorrect because in the drawing shown, there is no line connecting the two points E and H, so there would be no line segment formed between these two points.

- CD is correct because there is another line connecting the two points C and D, forming another line segment in the drawing.

Therefore, lines DH, ED, and CD are all line segments.

Answer:

firstly it is a four number combo with no repeating numbers so it has to include 5 but if you mean it like you said it  0

Step-by-step explanation:

sry i read it wrong the first time

Answer:

ZERO probability

Step-by-step explanation:

POSSIBLE combos   4 x 3 x 2 x1  = 24 possible combos

 if it starts with 371      then the only choice for the 4th digit is 5

     but no combo can have a 5 (per question)

so there are ZERO chances of this happening

Answer:

[tex]4^{2} = 4 x 4 =16[/tex]

Step-by-step explanation:

First of all we need to understand what a perfect square is:

It is an integer which is the square of another integer integer; in other words, it is the product of some integer with itself.

For example: 9, this is a square number since itt equals [tex]3^{2}[/tex] and 3x3 = 9

Answer:

Q1: C

Q2: F

Q3: C

Step-by-step explanation:

Question 7:

100(3+0.2)^2 -24

According to

P arenthesis

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

We must do the parenthesis first.

100 ( 3 . 2 ) ^ 2 - 24 =

Then exponent

100 * 10 . 24 - 24 =

then multiplication

1024 - 24 =

and finally subtraction

1000 (Option C)

________________________________________________________

Question 8:

Sqrt 50 = 7.07

Sqrt 60 = 7.75

7.07 + 7.75

14.81, which is between 14 and 15, answer choice F

________________________________________________________

Question 9:

A = 13

B = 13

C = 25+36 = 7.81

D = 13

Answer is C, which is the only one which is between positive integers 7 and 8.

Answer:

7) C. 1000

8) F. 14 and 15

9) C. [tex]\sf \sqrt{5^2 + 6^2}[/tex]

Explanation:

7.

⇒ 100(3 + 0.2)² - 24

⇒ 100(3.2)² - 24

⇒ 100(10.24) - 24

⇒ 1024- 24

⇒ 1000

8.

⇒ √50 + √60

⇒ [tex]\sf \sqrt{2 \ \times \ 5^2} + \sqrt{2^2\:\times\: 15}[/tex]

⇒ [tex]\sf 5\sqrt{2 } + 2\sqrt{ 15}[/tex]

⇒ 7.071 + 7.745966

⇒ 14.817

So, it lies between 14 and 15.

9.

A, B, D when simplified gives 11 as an answer.

When simplify C,

[tex]\sf \sqrt{5^2 + 6^2}[/tex]

[tex]\sf \sqrt{25 + 36}[/tex]

[tex]\sf \sqrt{61}[/tex]

[tex]\sf 7.8102396[/tex]

This value lies between 7 and 8.

Answer:

See below

Step-by-step explanation:

5% interest = .05  :

8500 x .05 x 150days /365 days/year  = R 174 .66 = interest......

then amount to be paid = 8500+ 174.66 = R 8674.66

find data points or make up 5 new subjects first

linda 34 y/o, 50 states

bob 65, 47 states

sarah 12, 14 states

terry 23, 28 states

cindy 46, 41 states

plot these points along with the others then draw a line from (0,0) to the top of the x y plane passing through as many point as possible

create a table of values for this information afterward

[tex]\begin{array}{ccll} \stackrel{cups}{sugar}&cookies\\ \cline{1-2} \frac{3}{4}&24\\[1em] x&18 \end{array}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{x}~~ = ~~\cfrac{24}{18}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{\frac{x}{1}}~~ = ~~\cfrac{4}{3}\implies \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{4}{3} \\\\\\ \cfrac{3}{4x}=\cfrac{4}{3}\implies 9=16x\implies \cfrac{9}{16}=x[/tex]

now, the fraction is not an improper one, thus we can't quite put it in a mixed format, unless you count 0 as its whole, then I guess we can say is [tex]0\frac{9}{16}=x[/tex]

Answer:

9/16

Step-by-step explanation:

24/6=4

18/6=3

(3/4)x(3/4)=9/16

Answer:

To rewrite 1 as 10 to power, you'd write 10^0 (ten to the power of zero).

Any non-zero number with the power of zero equals one. You might be wondering why, so to prove this theorem...

2^1

-----

2^1

Since the numbers are the same on the numerator and denominator, we can agree that the fraction above is equal to 1, yes? It is also equal to...

2^1-1

...because of the quotient rule. And what does 1-1 equal? 0. So you'd get

2^0

This is known as the "zero-exponent rule!"

Hope this helped.

Step-by-step explanation:

The table completing the proof is:

Statements                      Reasons

Draw segments UT       Construction.

[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex]                      This is reflexive property.

[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex]                                Given

[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex]                              Given

ΔUBT ≅ ΔUET                 SAS congruency

∠B ≅ ∠E                               Proof

We have,

From the figure,

Step 1:

Draw segments UT.

Construction.

Step 2:

UT ≅ UT

This is reflexive property.

Step 3:

BT ≅ EU

Given

Step 4:

BU ≅ ET

Given

Step 5:

ΔUBT ≅ ΔUET

This is due to SAS.

Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

Step 6:

∠B ≅ ∠E

Thus,

Statements                      Reasons

Draw segments UT       Construction.

[tex]\overline {UT}[/tex] ≅ [tex]\overline {UT}[/tex]                      This is reflexive property.

[tex]\overline{BT}[/tex] ≅ [tex]\overline {EU}[/tex]                                Given

[tex]\overline {BU}[/tex] ≅ [tex]\overline {ET}[/tex]                              Given

ΔUBT ≅ ΔUET                 SAS congruency

∠B ≅ ∠E                               Proof

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Answer:

 64

Explanation:

Sequence: -27, -8, -1, 0, 1, 8, 27,...

Identify the type of sequence. Looking at the sequence, it appears it is a cubic sequence with a formula: x³

Shown truth:

Next number in this sequence:

The way that this action is going to affect the mean and the mean and the median value would be decreased than what it was supposed to be.

In a frequency distribution, the mean is the number that is used to represent the average of a group of data. To get the mean, you have to add up the numbers in the data set and divide by the total number in the data set.

The formula is fx/n

When the average of $4800 is removed from the data set, the mean is going to decrease by the number and the value of fx would also decrease. Hence we can conclude that it would cause the value to reduce.

The median is the middle value, it would also cause the median in the data set to be smaller than it was.

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Answer: 0.5 < x < 16.5.

Step-by-step explanation: Two sides of triangle: 8.0 units and 8.5 units

Measure of third side = x

According to the triangle's inequality,

Sum of any two sides > third side.    (i)

Difference between the sides < third side.    (ii)

If x is the third side, then

x < 8+8.5   [Using (i)]

i.e. x< 16.5  

Also, x > 8.5-8   [Using (ii)]

i.e. x> 0.5

Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.

The range of possible sizes for side x is,

⇒ 0.5 < x < 16.5

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of the triangle are 8.5 and 8.

Now, The range of possible sizes for side x is,

⇒ x < 8.5 + 8

⇒ x < 16.5

⇒ x > 8.5 - 8

⇒ x > 0.5

Thus, The range of possible sizes for side x is,

⇒ 0.5 < x < 16.5

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Answer: 29 centimeters long

Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)

Answer:

11. When 3 students are working, they each need to plant 36 trees. So the club must plant 36*3 = 108 trees total. The equation would be t = 108/s, and the constant of proportionality is 108.

12. The constant of proportionality represents the number of trees the club needs to plant regardless of the number of participants.

olution

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Let the one's digit be y and tens digit be x,

Number = 10x + y

Then,x=3y⋯(i)

Reversed number = 10y + x

A.t.Q :- (10x+y)−(10y+x)=36 Put x = 3y in eq. (i)

⇒9x−9y=36

⇒x−y=4⋯(ii)

⇒3y−y=4

∴2y=4  x=3y  ∴x=6

y=2

∴ Number = 62

Answer:

Step-by-step explanation:

This expression involves the distributive property. In the distributive property, there is a number followed by an equation in parenthesis.

3(n+6)

To simplify it, you have to multiply the first number by each number in the parenthesis, separately:

3(n+6)

3n + 3(6) or 3xn + 3x6 (same thing)

3n+18

Finally, we can check the other 4 choices to double check.

A. 3n+6 (wrong)

B. 2(n+6) + (n+6)=

2xn + 2x6 + n + 6

2n + 12 + n + 6

combine like terms, or all the terms that are the same. start with the Ns, then the numbers:

2n+n + 12+6

3n+18

C. 2(n+6)+n= 2n+2(6) +n = 2n+12+n= 2n+n+12= 3n+12

D.3n+18

E. 2n+2+n+4= 2n+n+2+4= 3n+6

Answer= B and D

hope this helps :))

Answer: 3n+18 bcz of the distributive property

Step-by-step explanation:

b & d

The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.

QSUWY which is a pentagon is regular that mean:

∠QYW = 108°

The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°

Thus, ∠QTW =

180 - 108

= 72°

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.

In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

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Full Question:

See the attached image for missing details.