Answer options:

1) f(x)= -(x+5)^3 (x-2)^2

2) f(x)= (x-5) (x-510) (x+2)

3) f(x)= (x+5)^3 (x-2)^2

4) f(x)= (x-5)^2 (x+2)^3

its A

Step-by-step explanation:

dividing or multiplying a negative number in this will completely change the sign to opp side

-3x + 15 < 12

-3x < -3

x > 1

Option d i.e x<-9 represents all possible solutions of -3(x+5)>12

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

The given inequality is

-3(x+5)>12

-3x-15>12

-3x>12+15

-3x>27

Divide both sides by 3

-x>9

When we multiply negative sign on both sides the lesser than sign changes to greater.

x<-9.

Therefore option d represents all possible solutions of -3(x+5)>12.

To learn more on inequality click:

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Answer:

y = -1/2x+7

Step-by-step explanation:

We have a slope of -1/2 and a point of (4,5)

Using the slope intercept form of a line

y = mx+b

y = -1/2 x +b

Substituting the point into the equation

5 = -1/2(4) +b

5 = -2+b

Add 2 to each side

5+2 = -2+2+b

7 = b

The equation of the line is

y = -1/2x+7

Answer:

a)Volume 390ft3. Surface area 450ft2

b)surface area

c)volume

Step-by-step explanation:

2*15*13=390

2*15*2=60+15*13*2=390

Answer:

70 degrees

Step-by-step explanation:

(360 - 90 - 130)/2=70

Answer:

x=3

Step-by-step explanation:

7+4(5/4x-1)=18

7+5x-4=18

3+5x=18

5x=15

x=3

Answer:

x = 3

Step-by-step explanation:

18 = 7 + 4([tex]\frac{5}{4}[/tex]x - 1)

18 = 7 + 5x - 4

18 = 3 + 5x

15 = 5x

x = 3

Answer:

Proved

Step-by-step explanation:

2 sin square( 45°-A)

(therefore;

by trigonometry ratios

sin45°=1)

=2sin2(1-A)

=2sin(1-A)

=1+sin2A

hence proved

I HOPE THIS WILL HELP YOU

If yes mark me brainliest and follow me..

Tysm

Answer:

Step-by-step explanation:

1. 6x + 12 = 3x - 27

   3x + 12 = -27

   3x = -39

    x = -13

2. 2p - 3 = 3p + 2

    -p - 3 = 2

     -p = 5

      p = -5

3. 6x - 2 - 35x -28 = 18x - 27

   -29x - 30 = 18x - 27

   -47x - 30 = -27

    -47x = 3

    x = -3/47

Step-by-step explanation:

to find his total expenses, add all fraction spent

3/8 + 1/3 + 1/6

= 9+8+ 4/24

= 21/24. = 7/8

total fraction =1

subtract the fraction spent form the total fraction to know the fraction left for savings

1-7/8= 1/8

therefore if. 1 = 2,400

then 1/8=?

if less more divides

1/8 ÷ 1 ×2,400

1/8 × 1/1×2,400

1/8 × 2,400

=300.

therefore the man saved 300 rupees

Answer:

Step-by-step explanation:

Triangle is an example of a polygon with three sides. The types of triangle we have are the equilateral, isosceles, scalene and right angled triangle.

An equilateral triangle is a triangle that has all its 3 sides and angles equal.

An isosceles triangle is a triangle that has two of its sides and angles equal.

A scalene triangle is a triangle that has none of its sides and angles to be equal.

According to the question, we are given a triangle of lengths 9, 10 and 130. It is seen that all the length of each sides of the triangle is different, this makes it a scalene triangle.

Complete Question

The complete question is shown on the first uploaded image  

Answer:

Yes the students are reasonably good at estimating one​ minute

a

  Option A is  correct

b

  The test statistics is  [tex]t = 0.354[/tex]

Step-by-step explanation:

From the question we are told that

    The  set of data is  

               68, 82 ,  38 ,  62 , 41, 25 , 57 ,  64, 67, 47, 61, 71, 91, 87, 64

     The  population mean is  [tex]\mu = 60[/tex]

The  level of significance is given as[tex]\alpha = 0.01[/tex]

    The  critical value for this level of significance obtained from the normal distribution table is  

         [tex]Z_{\alpha } = 2.33[/tex]

   The  null hypothesis is  

           [tex]H_o : \mu = 60 \ seconds[/tex]

   The alternative hypothesis is  

          [tex]Ha : \mu \ne 60 \ seconds[/tex]      

Generally the sample mean is mathematically represented as

       [tex]\= x = \frac{\sum x_i }{n }[/tex]

where  n = 15

 So  

      [tex]\= x = \frac{ 68+ 82 + 38 + 62 + 41+ 25 + 57 + 64+67+ 47+ 61+ 71+ 91+ 87+ 64}{15}[/tex]

      [tex]\= x = 61.67[/tex]

The standard deviation is mathematically represented as

     [tex]\sigma =\sqrt{ \frac{ \sum (x_i - \= x )^2}{n} }[/tex]

substituting values

      [tex]\sigma =\sqrt{ \frac{ \sum (68-61.67)^2 + ( 82-61.67 )^2 + (38 -61.67)^2 + 62-61.67)^2 + (41-61.67)^2 +(25-61.67)^2 +( 57+61.67)^2 }{15} }[/tex]           [tex]\sqrt{ \frac{ ( \cdot \cdot + ( 64-61.67)^2 + (67-61.67)^2 +(47-61.67)^2 + (61-61.67)^2+ (71-61.67)^2 + (91 -61.67)^2+( 87-61.67)^2 + (64-61.67)^2}{15} }[/tex]=>   [tex]\sigma = 18.23[/tex]

The  test statistics is evaluated as  

      [tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]

substituting values

       [tex]t = \frac{61.67 -60 }{ \frac{18.23 }{\sqrt{ 15} } }[/tex]

      [tex]t = 0.354[/tex]

Now comparing the statistics and the critical value of the level of significance we see that the the test statistics is less than the critical value

Hence the we fail to reject the null hypothesis which mean that these times are from a population with a mean equal to 60 seconds

So we can state that yes the students are reasonably good at estimating one minute given that the sample mean is not far from the population mean

1) Identify the sample used in the study: B) The sample is the responses of the volunteers in the study

2)  What is the​ sample's population: B) The population is collected of the response of all individuals who completed the math test

3) Which part of the study represents the descriptive branch of​ statistics:

individuals who are not sleep deprived will be more likely to answer math questions correctly than individuals who are sleep deprived.

hope i helpd

-lvr

Answer:

The sum of two negative integers is always negative.

Step-by-step explanation:

For example, add -1+-1 which =-2, which are the smallest neggative numbers possible.-100+-100=-200, and -4+-4=-8, so you see that the sum of two negative integers should always be negative.

Answer: B

Step-by-step explanation:

When B is simplified, it becomes x^2-3x-10.  This is a polynomial because it has more than two terms(3).

Hope it helps <3

The solution is: the following is a polynomial, A. 4x^2+9x+12 & C. 15x^4

Option A and C are correct.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

Here, we have,

we know that,

A polynomial is defined as an algebraic expression that consists of variables and constants involving operations of addition, subtraction, multiplication and non-negative exponents.

A. 4x^2+9x+12 is a polynomial

B. 3-√2x is not a polynomial

C. 15x^4 is a polynomial

D. 6x^2+2/x is not a polynomial

So, Option A and C are correct.

Hence, The solution is: the following is a polynomial, A. 4x^2+9x+12 &

C. 15x^4 , Option A and C are correct.

Know more about Polynomials here:

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Answer:

400milliliters

Step-by-step explanation:

Let x=ml of 30% solution B used in resulting mixture.

800+x=ml of resulting 30% solution

40%(800)+10%x=30%(800+x)

Then we can simplify the expression

0.4(800)+0.10x= 0.30(800+x)

320+0.10x=240+0.30x

80=0.20x

x= 400milliliters

Therefore, 400milliliters of 10% solution B used in resulting mixture.

Answer:

There's no results that appear below

Answer:

5%, 33%, 1/2, 75%

Step-by-step explanation:

5% , 33%, 75%, 1/2

Change 1/2 to a percent.

1/2 = 0.5 = 0.5 * 100% = 50%

We are comparing

5%, 33%, 75%, 50%

From least to greatest:

5%, 33%, 50%, 75%

Now we convert 50% back to a fraction.

5%, 33%, 1/2, 75%

Answer:

the surface area is 124

the volume is 72

Step-by-step explanation:

Hi there! :)

Answer:

SA = 124 cm².

V = 72 cm³

Step-by-step explanation:

Volume of a rectangular prism: V = l × w × h

Given:

l = 4 cm

w = 9 cm

h = 2 cm

V = 4 × 9 × 2

V = 36 × 2

V = 72 cm³

Surface area: SA = 2(wl + hl + hw)

SA = 2((4 · 9) + (2 · 4) + (9 · 2))

SA = 2(36 + 8 + 18)

SA = 2(62)

SA = 124 cm².

Hope this helped you!

Answer:

Number of different cones made = 18

Step-by-step explanation:

Given:

Types of cone = 2

Number of flavors = 3

Number of toppings = 2

Find:

Number of different cones made

Computation:

Number of different toppings = 1(peanuts) + 1(sprinkles) + 1(both) = 3

Number of different cones made = Types of cone × Number of flavors × Number of different toppings

Number of different cones made = 2 × 3 × 3

Number of different cones made = 18

Answer:

Choice D - 8cm and 9cm.

Step-by-step explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Option d: 8 cm and 9 cm.

There is a theorem in mathematics stating:

" The sum of length of two sides of any triangle is greater than the rest third side"

According to that theorem, first three given options cant form the sides of the given triangle whose one side is 13 cm.

The 4th option has 8 cm and 9 cm for which we have:

8 + 9 > 13

Thus this option follows the theorem.

Hence fourth option is correct.

For more information, refer this link:

https://brainly.com/question/14444468

Answer:

1. 2.997

2. 29.93

Step-by-step explanation:

1. You gotta multiply the three sides given, to do this, they all have to be the same unit. Either convert them all to inches or feet then do the operation.

2. Same thing, gotta multiply all given values

Answer:

The SAS(Side-Angle-Side) triangle congruency theorem can be used to prove Triangle MNL is congruent to ONP.

Step-by-step explanation:

We would use the side-angle-side theorem because the two triangles both have two equal sides and one angle. For instance, side MN has two lines and so does side ON has two lines. Same goes with sides NL and NP.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

See below

Step-by-step explanation:

The SAS triangle congruency theorem can be used to prove ΔMNL ≅ ΔONP.

The SAS (Side-Angle-Side) postulate will be used because two sides and one angle are congruent.

They are the following:

=> NM ≅ NO (Given)

=> NP ≅ NL (Given)

=> ∠LNM ≅ ∠PNO  (Vertical Angles)

Answer:

-2 and -73

Step-by-step explanation:

simply divide 146 by any negative integer that can divide it fully

HINT:IT ENDS IN 6 SO TRY MULTIPLES AND FACTORS OF 6

and lastly don't forget that negative times negative equals positive

Answer:

work is shown and pictured

Answer:

$181,432,754

Step-by-step explanation:

We use the formula for compound interest here, to determine the amount

Mathematically, that would be;

A =I (1 + r/n)^nt

where A is the amount which we want to calculate

I is the initial amount which is $90,000

r is the rate = 23.24% = 23.24/100 = 0.2324

n is the number of times per year the interest is compounded = 12 (compounded monthly)

t is the number of years = 2014 - 1981 = 33

Substituting these values, we have;

A = 90,000(1 + 0.2324/12)^(33 * 12)

A = 90,000(1 + 0.0194)^396

A = 90,000(1.0194)^396

A = 181,432,754.27210504

Which is approximately $181,432,754 to the nearest whole dollars

Answer:

a. 43,200 drips

b. 4 gallons (approximately, actual value is 3.8)

c. 61 cups(approximately, actual value is 60.8, using 3.8 gallons and not 4 gallons)

Step-by-step explanation:

Here, we have a faucet wasting water at a rate of 15 drips per 30 seconds, now we want to calculate the number of drips wasted in a day

To find this, what we need to do is fund the number of seconds in a day first

There are 24 hours with 60 minutes, with each minute having 60 seconds

So the number of seconds in a day = 24 * 60 * 60 = 86,400 seconds

Now 15 drips is wasted in 30 seconds

x will be wasted in 86,400 seconds

x = (15 * 86400)/30 = 43,200 drips are wasted in a day

b. Mathematically , there are about 3,000 drips in a liter of water

So;

3,000 drips = 1 liter

43,200 drips = x liter

x = 43200/3000 = 14.4 liters of water

Mathematically,

1 liter = 0.264 gallons

So 14.4 liters = 14.4 * 0.264 = 3.8 gallon

which is equal to 4 gallons of water approximately

c. Mathematically;

1 gallon = 16 cups of water

So 3.8 gallons of water will measure 3.8 * 16 = 60.8 which is approximately 61 gallons of water

Answer:

x ≥ 64

Step-by-step explanation:

We want to find the average

Let x be the 5th grade

We want it to be no less than 80

Add up the scores and divide by 5

( 80+ 72+ 96+ 88+x)/5 ≥ 80

Combine like terms

( 336+x) /5 ≥ 80

Multiply each side by 5

336+x ≥ 400

Subtract 336 from each side

x ≥ 400-336

x ≥ 64

Answer:

Its D on edg :P

Answer:

true if I'm wrong I'm so sorry:/

Answer:

 is the correct answer.

Step-by-step explanation:

As per the question statement:  

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most =  $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

[tex]\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}[/tex]

i.e.  

[tex]5.50S[/tex]

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = [tex]\$3.25+5.50S[/tex]

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

[tex]\bold{3.25+5.50S \le 30}[/tex]

Please refer to https://brainly.com/question/17138529 as well.

3.25+5.50S < (with line under it) 30

To add on to what isyllus said...

3.25+5.50S < (with line under it) 30 is the equation

16 pancakes is the amount.

:) hope this helps!

Answer:

I believe its 40

Step-by-step explanation:

Answer:

Hey there!

The perimeter can be expressed as 10+7+2+2+6+2+2+7, or  38.

Hope this helps :)

r = radius

h = r+12 = height, 12 more than the radius

[tex]V = \text{Volume of cone (oblique or not)}\\\\V = \frac{1}{3}\pi*r^2*h\\\\V = \frac{1}{3}\pi*r^2*(r+12)\\\\V = \frac{1}{3}\pi*r^2*r+\frac{1}{3}\pi*r^2*12\\\\V = \frac{1}{3}\pi*r^3+\frac{1}{3}*12\pi*r^2\\\\V = \frac{1}{3}\pi r^3+4\pi r^2\\\\[/tex]

ANSWER: SECOND OPTION