Find the length of side x in simplest radical form with a rational denominator. I will give brainliest please help asap

Find The Length Of Side X In Simplest Radical Form With A Rational Denominator. I Will Give Brainliest

Answers

Answer 1

Answer:

[tex]x=\frac{\sqrt{2}}{2}[/tex]

Step-by-step explanation:

x^2+x^2=1

x^2=1/2

x=1/sqrt2

x=sqrt2/2

:]


Related Questions

Solve this inequality
-3 < x + 5 < 10

Answers

Answer:

-8 < x < 5

Step-by-step explanation:

-3 < x + 5 < 10

=> Minus 5 in all sides

=> -8 < x < 5

place the numbers in order from least to greatest…PLS HELP!

Answers

Answer:

If the numbers are arranged from the least to the greatest, then it is called ascending order. In this form, the numbers are in increasing order. The first number should be lesser than the second number. If the numbers are arranged from the greatest to the least, then it is called descending order.

Absolute Value Calculator: Heron's Calculator

Coterminal Angle Calculator: Graphing Functi...

Step-by-step explanation:

what is the answer to the absolute value equation? |5x-3|=-2

Answers

Answer:

No answer

Step-by-step explanation:

An absolute cannot equal a negative number

Okay so 5x - 3=2 so add 3 to both sides so 5x= 5 and divide both sides by 5 and get x=1 as the answer

Second answer is 5x-3=-2 and add 3 to both sides and get 5x= -5 and divide both sides by 5 and get x=-1

ANSWER: x=1 and x=-1

Find the value of x to the nearest tenth.

Answers

answer

1.7 ≈ x

reasoning

first find the missing value of the triangle on the bottom

6^2 + 5^2 = c^2
36 + 25 = c^2
61 = c^2
sqrt61 = c

then use that to find x

(sqrt61)^2 + b^2 = 8^2
61 + b^2 = 64
(61 + b^2) - 61 = 64 - 61
b^2 = 3
sqrt(b^2) = sqrt3
sqrt3 = b
1.7 ≈ b

the null and alternative hypotheses are given. determine whether the hypothesis test is​ left-tailed, right-tailed, or​ two-tailed. what parameter is being​ tested? 105

Answers

The hypothesis test is a Left-tailed test and the parameter being​ tested is known as a Population mean.

What is a null and alternative hypotheses?

A null hypothesis predicts no effect between variables while an  alternative hypothesis predict an effect or relationship between variables of the study.

What is the given hypothesis test?

In the question, the given hypothesis test includes "H0​: σ=110" and "H1​: σ<110"

Hence, based on the test above, the hypothesis test is a Left-tailed test and the parameter being​ tested is known as a Population mean.

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An angle measures 4pi/5 radians. What is this angle's measure in degrees?

Answers

4π/ 5 radians = ?

Then if

π radians= 180°

(4/5)•π radians = 180• 4/5

. = 144

Answer is

4pi/5 radians = 144 degrees

7+4x= -5 helppppppppppppp

Answers

X=-3

7+4x=-5
-7 -7
4x=-12
/4. 4/
X=-3

Given: <1 and <2 are complementary; <1=<4 prove: <3 and <4 are complementary

Statements:
1. <1 and <2 are complementary
2. m<1 + m<2= 90°
3. <1=~<4
4. m<1 = m<4
5. <2 =~<3
6. m<2 = m<3
7. m<4 + m<3 = 90°
8. <3 and <4 are complementary

Please list reasons (geometry)

Answers

Answer:

<3 and <4 are complementary

ben is making a dessert that requires 212 lb of strawberries and 112 lb of blueberries. strawberries cost $1 less per pound than blueberries. ben spent a total of $9.50 on the fruit. what is the price per pound of each type of fruit?

Answers

Answer:

Step-by-step explanation:Price per pound of strawberries is $-0.31635 and blueberries is $0.6836.

Explanation :

Given data ;

Weight of strawberries required for dessert = 212 lb

Weight of blueberries required for dessert = 112 lb

Total cost spent = $9.50

Let,

Cost of blueberries per pound =x

Cost of strawberries per pound = (x-1)

We know that,

Cost of blueberries for overall weight + Cost of strawberries for overall weight = Total cost spent on fruits.

x(112) + (x-1)212 = 9.50

112x + 212x – 212 = 9.50

324x = 221.5

X = 221.5/324

X = $0.6836

So, (x-1) = $-0.31635

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Price per pound of strawberries is $0.02476 and the price per pound of blueberries is $0.03794

Given that ;

Ben is making a dessert that requires 212 lbs of strawberries and 112 lbs of blueberries. Strawberries cost $1 less per pound than blueberries. Ben spent a total of $9.50 on the fruit.

So according to the question get the price per pound of each type of fruit;

Let ' x ' be the price per pound of strawberries and ' y ' be the price per pound of blueberries.

By assuming the following equations;

212x - 112y = 1 → ( I )

212x + 112y = 9.5 → ( II )

By solving above equations ( I ) ( II ) we get;

424x = 10.5

      x = 10.5/424

      x = 0.02476

224y = 8.5

      y = 8.5/224

      y = 0.03794

Price per pound of strawberries is $0.02476 and the price per pound of blueberries is $0.03794

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jeremy sells strawberries 5 pounds for $7.50. what is the cost for 1 pound of strawberries?

Answers

$1.5

To do this you divide $7.50 by 5 to get the unit cost, which is $1.50.

C(0)=0
Let c(t) be the number of customers in a restaurant t hours after 8am Explain the meaning of each statement please help

Answers

The meaning of each statement is shown below.

Step-by-step explanation:

Assume that the given statements are

(a) c(0)=0

(b) c(3)=c(8)

(c) c(n)=29

(d) c(13)<c(12)

Let c(t) be the number of customers in a restaurant t hours after 8 A.M.

We need to find the meaning of each given statement.

(a) c(0)=0 means the number of customers 0 hours after 8 A.M (i.e., 8 A.M.) is 0.

(b) c(3)=c(8) means the number of customers 3 hours after 8 A.M (i.e., 11 A.M.) is equal to the number of customers 8 hours after 8 A.M (i.e., 4 P.M.).

(c) c(n)=29 means the number of customers n hours after 8 A.M is 29.

(d) c(13)<c(12) means the number of customers 13 hours after 8 A.M (i.e., 9 P.M.) is less than the number of customers 12 hours after 8 A.M (i.e., 8 P.M.)

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v=u+ at
u= 2 a=-5
Work out the value of v.
Substitution
Tynel
4
View One Minute Version
Overview
Revision for 10Y1 October

Answers

Answer:

v=-0.5

Step-by-step explanation:

v=2+(-5×0.5)

v=2-2.5

v=-0.5

HELP PLEASEEEE

Suppose that y varies directly with x and that y=84
when x=7
. What is the value of x when y=108
?

Answers

Suppose that y varies directly with x and that y=84 when x=7. What is the value of x when y=108?

when y=84 and when x=7, x to y in proportion is 1:12. Keeping the ratio of x to y at 1 to 12, when y = 108, x = 9.

-|4-7|+3 whats the answer to this question?

Answers

The answer to the question -|4-7|+3  is 0  .

The Absolute Value of x denoted by |x| is the non negative value of , without regarding its sign .

For example the absolute value of -3 will be |-3| = 3 .

and absolute value of |-2| = 2 .

In the question ,

it is given that

the question is -|4-7|+3 .

and we have to find the answer of -|4-7|+3 .

let the answer be "y"

So , y = -|4-7|+3

= -|-3| + 3

On further simplification ,

we get  ,

= -(3) + 3     because |-3| = 3

= -3 +3

= 0

Therefore , The answer to -|4-7|+3  is 0  .

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Need help with this, if you can edit it and send back,, that’ll help, thank you<3

Answers

The quotient of the triangle side lengths are same as below for different triangle ( please refer attached image for better understanding)-

For ABC - 9/4 or 2.25, 9/6 or 1.5, 6/4 or 1.5

For DEF - 18/8 or 2.25, 18/12 or 1.5, 12/8 or 1.5

For GHI - 27/12 or 2.25, 27/18 or 1.5, 18/12 or 1.5

For JKL - 4.5/2 or 2.25, 4.5/3 or 1.5, 3/2 or 1.5

Quotient in mathematics, can be defined as the result of the division of a number by any divisor.

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solve for p 3w+4pw=a

Answers

variable P = a/4w - 3/4

The value of [tex]\tan 1^{\circ}\tan 2^{\circ}+\tan 2^{\circ}\tan 3^{\circ}+\tan 3^{\circ}\tan 4^{\circ}+\cdots+\tan 88^{\circ}\tan 89^{\circ}[/tex] can be expressed in the form [tex]\cot^2 1^{\circ}-n[/tex]. What is the value of [tex]n[/tex]?

Answers

Answer:

n = 89

Step-by-step explanation:

Use of identities

tan (x - y) = (tan x - tan y)/(tan x tan y + 1)  1/tan x = cot xtan (90 - x) = cot xtan (- x) = - tan x

Convert the first one above:

tan x tan y = (tan x - tan y) / tan (x - y) - 1

Apply this to each term of the given expression to get:

tan1°tan2° + tan2°tan3° + ... + tan88°tan89° = (tan1° - tan2°)/(tan-1°) - 1 + (tan2° - tan3°)/(tan-1°) - 1 + ... + (tan88° - tan89°)/(tan-1°) - 1 = (tan1° - tan2° + tan2° - tan3° + ... + tan88° - tan89°)/(tan-1°) - 88 = (tan1° - tan89°)/(tan-1°) - 88 = tan1°/ (tan-1°) - tan89°/tan-1° - 88 = - 1 - cot1*(- cot1°) - 88 = cot² 1° - 89

The value of n is 89.

Answer:

n = 89

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5 cm}\underline{Tan double angle identity}\\\\$\tan (A - B)=\dfrac{\tan A - \tan B}{1 + \tan A \tan B}$\\\end{minipage}}[/tex]

Rewrite the tan double angle identity to isolate tanAtanB:

[tex]\implies 1 +\tan A \tan B=\dfrac{\tan A- \tan B}{\tan (A - B)}[/tex]

[tex]\implies \tan A \tan B=\dfrac{\tan A- \tan B}{\tan (A - B)}-1[/tex]

Therefore:

[tex]\implies \tan 1^{\circ} \tan 2^{\circ}+\tan2^{\circ}\tan3^{\circ}+...+\tan88^{\circ}\tan89^{\circ}[/tex]

[tex]\implies \left(\dfrac{\tan 1^{\circ}- \tan 2^{\circ}}{\tan (1 - 2)^{\circ}}-1\right)+\left(\dfrac{\tan 2^{\circ}- \tan 3^{\circ}}{\tan (2 - 3)^{\circ}}-1\right)+...+\left(\dfrac{\tan 88^{\circ}- \tan 89^{\circ}}{\tan (88 - 89)^{\circ}}-1\right)[/tex]

[tex]\implies \dfrac{\tan 1^{\circ}- \tan 2^{\circ}}{\tan (-1)^{\circ}}-1+\dfrac{\tan 2^{\circ}- \tan 3^{\circ}}{\tan (-1)^{\circ}}-1+...+\dfrac{\tan 88^{\circ}- \tan 89^{\circ}}{\tan (-1)^{\circ}}-1[/tex]

[tex]\implies \dfrac{\tan 1^{\circ}- \tan 2^{\circ}}{\tan (-1)^{\circ}}+\dfrac{\tan 2^{\circ}- \tan 3^{\circ}}{\tan (-1)^{\circ}}+...+\dfrac{\tan 88^{\circ}- \tan 89^{\circ}}{\tan (-1)^{\circ}}-88[/tex]

[tex]\implies \dfrac{\tan 1^{\circ}- \tan 2^{\circ}+\tan 2^{\circ}- \tan 3^{\circ}+...+\tan 88^{\circ}- \tan 89^{\circ}}{\tan (-1)^{\circ}}-88[/tex]

[tex]\implies \dfrac{\tan 1^{\circ}- \tan 89^{\circ}}{\tan (-1)^{\circ}}-88[/tex]

[tex]\implies \dfrac{\tan 1^{\circ}}{\tan (-1)^{\circ}}-\dfrac{ \tan 89^{\circ}}{\tan (-1)^{\circ}}-88[/tex]

[tex]\textsf{Apply the identity}\quad \boxed{ \tan(-x)=-\tan(x)}:[/tex]

[tex]\implies \dfrac{\tan 1^{\circ}}{-\tan 1^{\circ}}+\dfrac{ \tan (90-1)^{\circ}}{\tan 1^{\circ}}-88[/tex]

[tex]\implies -1+\dfrac{ \tan (90-1)^{\circ}}{\tan 1^{\circ}}-88[/tex]

[tex]\implies \dfrac{ \tan (90-1)^{\circ}}{\tan 1^{\circ}}-89[/tex]

[tex]\textsf{Apply the identity}\quad \boxed{\tan(90-x)=\cot(x)}:[/tex]

[tex]\implies \dfrac{\cot1^{\circ}}{\tan1^{\circ}}-89[/tex]

[tex]\implies \cot 1^{\circ} \cdot \dfrac{1}{\tan1^{\circ}}-89[/tex]

[tex]\textsf{Apply the identity}\quad \boxed{\dfrac{1}{\tan(x)}=\cot(x)}:[/tex]

[tex]\implies \cot 1^{\circ} \cdot \cot 1^{\circ}-89[/tex]

[tex]\implies \cot^21^{\circ}-89[/tex]

Therefore, n = 89.

À La Mode Ice Cream Parlor uses the function f(x) to calculate its profits. When the parlor sells x cones, it makes f(x) dollars in profit. What does f(50)=85 tell you?

Answers

f is the given profit function whose input is number of cones and output is profit, f(50)=80 tells that $80 profit is made by selling 50 cones of ice cream.

What is function?

A function is a relation that assigns each element of a set a unique element of another set.

f(x) denotes that function f works on the input values x and give output f(x).

If f is a function and f(x) = x+2, then if we have to check x= 1 , then

f(1) = 1+2 = 3 is the value of the function f at x=1

A La Mode Ice Cream Parlor uses a function f as profit function

The input x is the number of cones it sells and output is profit

f(50) = 85

⇒x = 50 and f(50) = 85

It means that when the parlor sells x = 50 cones , it makes  profit $ f(50) = 85

or On selling 50 cones the profit made is $80

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if apples cost $3 per pound and bananas cost $5 per pound, how many whole pounds of apples should bill buy if he wants to maximize his utility and he has $31 to spend?

Answers

I f Bill wants to maximize his utility while spending $31 on apple. Bill van buy 10 whole pounds of Apples

How to find the number of whole pounds of apples bill can buy if he has $31 to spend

given data

Apples cost $3 per pound

Bananas cost $5 per pound

amount Bill has to spend $31

The number of whole apple Bill can buy

Using $31 the number of whole apples this can buy is gotten  dividing the  the total amount by the price of apple per pound.

= amount Bill has to spend $31 / Apples cost $3 per pound

= 31 / 3

= 10.33

Since we are solving for whole pounds of apple Bill can buy 10 whole pounds of apples

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if l //m and m<4=5x-42 and m<5=-x+82, what is the m<5

Answers

The measure of <5 is 47

what is parallel lines?

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline.

The fundamental characteristics listed below make it simple to recognise parallel lines.

Straight lines that are always the same distance away from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.

Given:

m<4=5x-42

and m<5=-x+82

as, <4 and <5 are in co- interior angle

<4 + <5 = 180

5x - 42 + (-x + 82) = 180

5x -42 - x + 82= 180

4x +40 = 180

4x = 140

x= 140/4

x= 35

Hence, the measure of <5 = -x+ 82 = -35 + 82 = 47

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ad and solve the problems.
Dan builds identical model cars and sells them
online. He records the number of models he
completes every couple of hours. The graph shows
Dan's data. Choose two pairs of points on the line
and calculate the slopes between them. Is Dan's
productivity constant? Explain.

Answers

The slope between the two pair of points is 3/2. Yes, Dan's productivity is constant.

Number of model are represented on y axis and the hours are represent on x axis.

As we can observe,

One pair of points on the graph is (4,6) and (2,3) and the other pair of points is (6,9) and (0,0)

The slope m between any two points (a,b) and (c,d) can be calculated as,

m = (d-b)/(c-a)

The two points we have are (4,6) and (2,3), so the slope M between them is,

M = (3-6)/(2-4)

M = -3/-2

M = 3/2.

And the slope M' between other two point (6,9) and (0,0) is,

M' = (9-0)/(6-0)

M' = 9/6

M' = 3/2.

As we can see, the slope is same. The slope represents the ratio of number of models and hours. We can conclude that Dan's productivity is constant.

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Given the function f(x)=x^2+7x+6f(x)=x
2 +7x+6, determine the average rate of change of the function over the interval −4≤x≤−1.

Answers

The average rate of change of the function f( x ) = x² + 7x + 6 at the interval of −4 ≤ x ≤ −1 is 2

What is the average rate of change the function?

The average rate of change the function is simply the change in y-values of the two points divided by the change in x-values of the two points.

It is expressed as;

Given the data in the question;

f( x ) = x² + 7x + 6Interval: −4 ≤ x ≤ −1 ⇒ [-4.-1]

Average rate of change = ( f(-1) - f(-4) ) / ( (-1) - (-4) )

Average rate of change = ( (-1)² + 7(-1) + 6 ) - ( (-4)² + 7(-4) + 6 ) ) / ( (-1) - (-4) )

Average rate of change = ( (1 + -7 + 6 ) - ( 16 - 28 + 6 ) ) / (-1 + 4 )

Average rate of change = ( ( 0 ) - ( -6 ) ) / (-1 + 4 )

Average rate of change = ( 0 + 6 ) / ( 3 )

Average rate of change = 6 / 3

Average rate of change = 2

Therefore, the average rate of change of the function is 2.

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Milly and Lotte are knitting scarves. For every 6 cm that Milly knits, Lotte knits 11 cm. If Milly knits a scarf that is 1.2 m long, how long will Lotte's scarf be in metres?

Answers

If Milly knits a scarf that is 1.2 m long then Lotte's scarf be 2.20 in metres.

We will use unitary method to solve this problem.

We know, Milly and Lotte are knitting scarves.

For every 6 cm that Milly knits, Lotte knits 11 cm. This can also be written as,

6 cm Milly knits    ---------------->  11 cm  Lotte knits

1 cm Milly knits    ---------------->  (11/6 ) cm  Lotte knits

We know, 1m = 100cm. So, we can write

120 cm Milly knits    ---------------->  ( 11/6 ) × 120 cm  Lotte knits

120 cm Milly knits    ---------------->  220 cm  Lotte knits

120 cm Milly knits    ---------------->  2.20 m  Lotte knits

Thus, we can conclude that  if Milly knits a scarf that is 1.2 m long then  Lotte knits 2.20 metres scarf .

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I really need help on this, tyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer:3

Step-by-step explanation: 105 divided by 3 is 35 there are 3 groups so 1 ten would go in each group.

A building company employs 3 labourers 12 joiners 8 electrician 4 plumbers. For a job, the company needs one of each type of worker in how may ways can the company choose four workers

Answers

The number of ways that the company can choose four workers is 40920 ways.

How to calculate the number?

From the information, the building company employs 3 laborers 12 joiners 8 electrician 4 plumbers. The total number of workers will be:

= 3 + 12 + 8 + 4

= 27 workers

It should be noted that combination will be used to choose the 4 workers. This is illustrated as

Combination formula

ⁿCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

where n = 33

r = 4

ⁿCr = n! / ((n – r)! r!)

³³C₄ = 33! / (33 - 4)! 4!

= 33! / 29! 4!

= 33 × 32 × 31 × 30 / 4 × 3 × 2

= 40920 ways

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The diagram shows a rhombus inside a regular pentagon.
Work out the size of angle x.

Answers

The size of the angle x in the pentagon is 36 degrees.

How to find the angles in a pentagon?

A regular pentagon is a polygon with five sides. The angles of a regular polygon is equal to each other.

Therefore,

the sum of angles in a regular pentagon = 540 degrees.

Each angle in a regular pentagon is 540 / 5 = 108 degrees.

The rhombus is inside the pentagon. Opposite angles in a rhombus are equal.

Therefore, the sum of interior angles of a rhombus adds up to 360 degrees

Hence,

108 + 108 + 2y  = 360

where

y is the angle of the rhombus on the x variable.

Therefore,

2y = 360 - 216

2y = 144

y = 144 / 2

y = 72°

Therefore,

x = 108 - 72

x = 36 degrees

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4(a-c)+2(a-b)
x(x-y)+y(y-x)

Answers

Answer:

hi how are you . i cant find the answer youre looking for

Answer:

1) 6 ( a - b )

2) x² - 2xy + y²

Step-by-step explanation:

1) 4 ( a - c ) + 2 ( a - b )

First, solve the brackets.

4a - 4c + 2a - 2b

Combine like terms.

6a - 6b

Take the common factor out.

6 ( a - b )

2) x ( x - y ) + y ( y - x )

First, solve the brackets

x² - xy + y² - xy

Combine like terms.

x² - 2xy + y²

Which of the following acids contain equal numbers of atoms?



A Sulfuric Acid H2SO4
B Phosphoric Acid H3PO4
C Vinegar C2H3O2
D Boric Acid H3BO3

Which of the following acids contain equal numbers of atoms?



A Sulfuric Acid H2SO4
B Phosphoric Acid H3PO4
C Vinegar C2H3O2
D Boric Acid H3BO3

A, C and D


A, B and C


A and B


B and D

Answers

Sulfhuric acid, boric acid and vinegar have 7 atoms present in them

Equivalent Number of Atoms

To find the compounds with equal number of atoms, we must take each individual atoms and find how many atoms are present in them.

In the first compound, we have sulfuric acid.

[tex]H_2SO_4 = 7 atoms\\[/tex]

Second compound, we have phosphoric acid

[tex]H_3PO_4 = 8 atoms[/tex]

Third compound, we have vinegar

[tex]C_2H_3O_2 = 7 atoms[/tex]

Fourth compound, we have boric acid

[tex]H_3BO_3 = 7 atoms[/tex]

From the above, only sulfuric acid, vinegar and boric acid have equal number of atoms present in them.

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The average U.S. home uses about 11,000 kilowatt-hours (kWh) of electricity per year. Appliances and refrigeration account for about 17% of this total. If electricity costs $0.16 per kWh in a particular area, how much would the average U.S. homeowner pay annually to run appliances and refrigeration?

Answers

First we need to find the 17% of 11,000

2. Write an equation in slope-intercept form of the line that passes through the point (-5, 7) and is perpendicular to the line y = 5x-1.

Answers

The general slope intercept form equation of a line is as stated below;

[tex]y=mx+b[/tex]

where m is the slope and b is the intercept.

If we compare the given equation y = 5x-1 with the equation of a line, we can deduce that the slope, m, is 5.

The slope of a line perpendicular to another is always given as -1/m, therefore the line perpendicular to the line y=5x-1 will have a slope of -1/5;

So let's go ahead and substitute m= -1/5, into the point slope equation to determine the line that passes through (-5,7);

Remember, the point slope form equation of a line is given as;

[tex]y-y_1=m(x-x_{1)}[/tex]

Substituting the above values, we'll have

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

Let's open up the parenthesis first, we'll have;

[tex]\begin{gathered} y-7=-\frac{1}{5}x-\frac{5}{5} \\ y-7=-\frac{1}{5}x-1 \end{gathered}[/tex]

Let's isolate y by adding 7 to both sides of the equation;

[tex]y=-\frac{1}{5}x+6[/tex]

The above equation is the required equation of the line in slope intercept form which can be compared to the one earlier written above(y = mx + b).

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which is an example of line authority? a consulting dietitian for an outpatient department a consulting dietitian for a nursing home a part time consultant for wic an administrative dietitian in a 600 bed hospital Please help i havent been turning in my math work for days and im so close to getting detention You have three $1 bills, four $5 bills, and two $10 bills in your wallet. You select a bill at random. Without replacing the bill, you choose a second bill at random. Find P($5 then $10)1- 1/92- 1/123- 1/724- 2/27 an impact that the changing industry boundaries have had is that: owners of companies can now define boundaries. there is an increase in the number of competitors within an industry. technological changes do not affect companies anymore. the pattern of customer needs does not affect companies anymore. the number of product substitutes available for customers has reduced. At a dinner party, each guest is to receive a bag of small gifts. How many gifts should be placed in each bag if there are 8 guests and 32 gifts altogether? What program introduced during the Great Depression guaranteed Americans an old-age pension? HELP!!Due later!!you're examining a population of mostly heterozygotes to determine if it has undergone evolutionary changes. you have the following counts. determine the frequency of the Aa allies.The number of AA allies=40The number of Aa allies=130The number of aa allies=30A. 0.45B. 0.20C. 0.65D. 0.15 Help ASAP Giving 20 Points 19. Which of the following verbs is a stem-changing verb?OfreirO mezclarO asarO cortar slice of Swiss cheese contains 42 mg of sodium. (a) What is this mass in grams? g (b) What is this mass in ounces? (16 oz = 453.6 g) oz (c) What is this mass in pounds? (1 lb = 453.6 g) The number of hours it takes for ice to melt varies inversely with the air temperature. A block of ice melts in 2.5 hours whenthe temperature is 54 degrees.How long would it take for the same block of ice to melt if the temperature was 45 degrees? PLEASE HELPy= -2x^2+4xDirection of openingEquation of the axis of symmetry (x =___)Coordinates of the vertex (x,y)y-intercept (y=_)Zeroes (if it has 2,1 or no zeroes)maximum or minimum (y=_) Solve three fifths times v plus 3 equals two fifths times v minus 4. v = 35 v = 35 v equals negative seven fifths v equals seven fifths I like kinda need the answer to that : P Choose the best Spanish equivalent to the phrase. The car is far away from the park. which number is the closest approximation to the value of 3/94? what are the 4 types of graphs and when do we use each type? Question 28Identify the underlined parts of speech in the following sentence:I hope it doesn't rain again on Saturday because I am so tired of the rain.Group of answer choicesA. first noun, then verbB. first pronoun, then nounC. first verb, then nounD. first adjective, then nounE. first adverb, then nounF. first verb, then prepositionG. first conjunction, then verb acting as a nounQuestion 29If Ive told you once Ive told you a million times: watch out for run-ons theyll get you.Group of answer choicesA. If Ive told you once, Ive told you a million times: watch out for run-ons theyll get you.B. If Ive told you once, Ive told you a million times: watch out for run-ons, theyll get you.C. If Ive told you once, Ive told you a million times: watch out for run-ons. theyll get you.D. If Ive told you once, Ive told you a million times: watch out for run-ons; theyll get you.Question 30Of the four sentence purposes, the sentence purpose used most often in expository writing is _____________________.Question 31The prompt is: "You have decided to go to college; what reasons would you present in a paragraph or essay to help someone deliberating over whether or not to go?"What would be the best choice for a thesis statement?Group of answer choicesA. As many of us know, there are many reasons for going to college.B. I decided to go to college for many reasons; you can decide to go for many reasons too.C. Although there are many incentives for going to college, three stand out as the primary reasons for getting a college education.D. There are several reasons why you should get a college education.E. Several good reasons why you should get a college education: better jobs, greater knowledge, and strong social support.Question 32Pick the correct answer which corrects the underlined portion of the following sentences in the simplest way possible for grammar and/or style, without changing the basic meaning of each sentence. (Hint: think: formal standard English and third person)As you can see, obesity is nothing to mess around with as it causes you health problems that are detrimental to our bodys health.Group of answer choicesA. As you can see, obesity is nothing to mess around with as it causes us health problems that are detrimental to our bodys health.B. As you can see, obesity is nothing to mess around with as it can cause health problems that are detrimental to our bodies health.C. Obesity is nothing to be concerned with because it can cause health problems that are detrimental to a person's bodys health.D. Obesity is nothing to trifle with because it can cause health problems that are detrimental to a person's health.Question 33OK, so this sentence really needs some work. Take your time and determine which correction is the clearest, makes the most sense, and is grammatically correct (... and yes, this was an actual sentence submitted by a student).People commit crimes of all races and dresses differently or the same as people who don't commit crimes and are doctors and lawyers, so criminal profiling is not a good thing.Group of answer choicesA. People of all races and dresses commit crimes differently or the same as people who don't commit crimes and are doctors and lawyers, so crimminal profiling is not right.B. It is difficult to tell who fits a crimminal profile because people of all races and manners of dress commit crimes differently or the same as people, such as doctors and lawyers who don't commit crimes.C. It is difficult to tell who fits a crimminal profile because people of all races and manners of dress commit the same crimes as people such as doctors and lawyers.D. It is difficult to tell who fits a crimminal profile because both law-breakers and law-abiding people come in all races, professions, and manners of dress. the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. after 3 hours it is observed that 400 bacteria are present. after 10 hours 2000 bacteria are present. what was the initial number of bacteria? BCD is a straight line. Triangle ABC is equilateral. CE=DEWork out the size of angle x.