The dimension of the vector space M5 x 3 is 15. X Select one: True False

Answers

Answer 1

The statement that the dimension of the vector space M5 × 3 is 15 is false.

The statement that the dimension of the vector space M5 × 3 is 15 is false.

In general, the dimension of a vector space is the number of linearly independent vectors that can be used to span the space.

The vector space M5 × 3 consists of all matrices with 5 rows and 3 columns, which is a set of 15 entries per matrix.

However, the dimension of M5 × 3 is not simply 15 because not all matrices in M5 × 3 are linearly independent.

In order to find the dimension of the vector space M5 × 3, one needs to consider the rank of the matrices in M5 × 3.

Since the rank of a matrix is the maximum number of linearly independent rows or columns in the matrix, it follows that the dimension of M5 × 3 is the minimum of the rank of its matrices.

It turns out that the maximum rank of a matrix in M5 × 3 is 3, which implies that the dimension of M5 × 3 is 3.

Hence, the statement that the dimension of the vector space M5 × 3 is 15 is false.

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Related Questions

You saved $20 per week to purchase one of three bikes in the store near your home. The starting price for the bikes is $130.

Write and solve an equation to find the numbers of weeks you need to save money to purchase a bike.
Your parents give you $60 to help you buy the new bike. How does this change your answer to part 1? Explain.

Answers

Answer:

4 weeks

Step-by-step explanation:

basic math

Answer:

6.5 weeks without parental help, 3.5 weeks with help from your parents.

Step-by-step explanation:

The Equation is:

Y = 20x

Y = Starting price for bikes

X = # of weeks

Therefore:

$130 = 20x

This can be simplified by solving for x

x = 130/20

x = 6.5 weeks

If your parents gave you $60 to help buy the bike the equation would be written as:

Y = 20x + 60

$130 = 20x + 60

Subtract 60 from both sides to get:

$70 = 20x

Solve for x

x = 70/20

x = 3.5 weeks

in 5-8, find each reciprocal. 5/9 8 7/3 1/12​

Answers

the answer

155

324

5/9 (87/3(1/12)= 155/324

-3X + 12 > 48
Answers
A)X>12
B)X>-12
C) c<12
D)x<-12

Answers

Answer:

d: x less than -12

Step-by-step explanation:

negative times negative equals positive so 12 x 3 equals 36 + 12 = 48. Your welcome (pls give brainliest)

Joanna is reading a storybook. The
ratio of the number of pages she read
to the pages that remain to be read is
7:3. If the book contains 500 pages in
all, how many pages did Joanna read?

Answers

Answer:

350

Step-by-step explanation:

Let 7:3 be 7x and 3x respectively. Given,

7x + 3x = 500

10x = 500

x = 50

:. 7x = 7 × 50 = 350

Hello hope all is well with you can you check to see if am doing this right please

Hello hope all is well with you can you check to see if am doing this right please

Answers

In the section a, Yes, you are doing well, you must do the count of how many people per area are infected, and the method of underlining is very good.

In the conclusions you can say that which was the area with the highest contagions. Other conclusion may be which was the area with the least contagions. And you can tell what is the difference in infections in the area with the highest and lowest infections.

Find the point on the line y = 8x - 5 closest to the point (0, – 6). The function giving the distance between the point and the line is S = ? (Enter a function of x)

Answers

The function giving the distance between the point (0,-6) and the line y = 8x - 5 is: S = 47 / sqrt(65).

To find the point on the line closest to the point (0,-6), we can find the perpendicular distance from the point (0,-6) to the line y = 8x - 5. The point on the line closest to (0,-6) will be the point on the line that is intersected by the perpendicular line.

The slope of the given line is 8, so the slope of any line perpendicular to it will be -1/8. Let (a,b) be the point on the line y = 8x - 5 that is closest to (0,-6). The equation of the line passing through (0,-6) with slope -1/8 is:

y + 6 = (-1/8)x

Simplifying this equation, we get:

y = (-1/8)x - 6

The point (a,b) will lie on both the given line and the perpendicular line. Therefore, we can substitute y = 8x - 5 in the equation y = (-1/8)x - 6 to obtain:

8x - 5 = (-1/8)x - 6

Solving for x, we get:

x = 37/65

Substituting x = 37/65 in y = 8x - 5, we get:

y = 231/65

Therefore, the point on the line y = 8x - 5 closest to the point (0,-6) is (37/65, 231/65).

The distance S between the point (0,-6) and the line y = 8x - 5 can be found by using the formula:

S = |ax + by + c| / sqrt(a^2 + b^2)

where a, b, and c are the coefficients of the general form of the line equation, which is ax + by + c = 0.

In this case, the equation of the line is y - 8x + 5 = 0. Therefore, a = -8, b = 1, and c = 5. Substituting these values in the formula for S, we get:

S = |(-8)(0) + (1)(-6) + 5| / sqrt((-8)^2 + 1^2)

= 47 / sqrt(65)

Therefore, the function giving the distance between the point (0,-6) and the line y = 8x - 5 is:

S = 47 / sqrt(65)

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Please answer this question now in two minutes

Please answer this question now in two minutes

Answers

Answer:

y=x+5

Step-by-step explanation:

Find the slope this is my last question hurry ASAP D:

Find the slope this is my last question hurry ASAP D:

Answers

m= -12

hope this helps! good luck and have a great day!!

Answer:

-12

Step-by-step explanation:

5-17=-12

-1-(-2)=1

-12/1

-12

HI PLS HELP ME ON MY MATH HOMEWORK I WILL ALSO GIVE BRAINLIEST

HI PLS HELP ME ON MY MATH HOMEWORK I WILL ALSO GIVE BRAINLIEST

Answers

The correct alternative, based on the parallel, triangle sum, and isosceles triangle criteria, is 2.

How to spot the correct option

Alternative 1

Since the base angle of an isosceles triangle is 52 degrees, let's say the third angle is x, and according to the triangle sum property,

x + 2 * 52 = 180,

x = 76.

triangle at the base

32 + 2x = 180 (triangle sum property for isosceles triangle)

x = 74

In accordance with the triangle sum property for isosceles triangles, the figure demonstrates that the base angle of the triangle at its base is also equal to 76.

False choice: Angles 74 and 76 are not equal.

Alternative 2:

x + 2 * 76 = 180 (triangle sum property for isosceles triangle)

x = 28

The diagram demonstrates that the triangle at the base angle has angle = 28.

124 + 2x = 180 (triangle sum property for isosceles triangle)

x = 28

Since the two angles 28 and 28 are equivalent, the choice is correct.

Alternative 3

wood you believe it, I past plain geometry -  wrong

would you believe it, I passed plain geometry - correct

Alternative 4

The parallelogram's isosceles triangle, with a base angle of 27,

Using the alternate internal angle theorem, 29's base angle is displayed.

at same point as 27 and both angles are not being equal.

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if my y-int is (5,0) and my x-int is (0,80) what is my vertex??

PLEASE HELP ME

Answers

The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.

Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:

x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0

Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).

Therefore, the vertex of the quadratic function is (0, 0).

In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

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ryder hiked no more than 8 miles inequality

Answers

Answer:

(the letter 'x' represents the amount of miles he hiked)

x≤8

Seven less than the product of 13 and Chau's savings. Use the variable c to represent Chau's savings.

Seven less than the product of 13 and Chau's savings. Use the variable c to represent Chau's savings.

Answers

Answer: 13xc-7

Step-by-step explanation:

A high correlation coefficient (either positive or negative) indicates that...
A. a third factor or variable is always responsible for the relationship between the two variables
B. there is a high level of consistency between the two variables
C. the scores on the two variables are nearly identical
D. a change in one variable causes a change in the second variable

Answers

A high correlation coefficient (either positive or negative) indicates that there is a high level of consistency between the two variables. The correct option is B. Correlation is a statistical method used to measure the strength and direction of the relationship between two variables.

When one variable increases as the other increases, this is known as a positive correlation. In contrast, when one variable decreases as the other increases, this is known as a negative correlation. Correlation Coefficient: Correlation coefficients are used to quantify the relationship between two variables. The range of values for the correlation coefficient is -1.0 to 1.0. A value of 1.0 represents a perfect positive correlation, indicating that as one variable increases, the other also increases in a linear fashion. A value of -1.0 indicates a perfect negative correlation, indicating that as one variable increases, the other decreases in a linear fashion. A value of 0.0 indicates that there is no correlation between the variables. The stronger the correlation, whether positive or negative, the closer the correlation coefficient is to 1 or -1.

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need help willing to give brainliest​

need help willing to give brainliest

Answers

Answer:

4^3 ➡ 4 × 4 × 4 ➡ 64

4^2 ➡ 4 × 4 ➡ 16

4^1 ➡ 4 ➡ 4

Step-by-step explanation:

The exponent represents how many times you're multiplying the base number by its self.

For example: In the first row, that's already filled in, 4^4 is the same as 4 × 4 × 4 × 4, not because you are multiplying 4 by the exponent, but because you're multpying 4 by its self 4 times.

(The same goes for the rest of the numbers.)

Hope this helps :)

Pearson correlations shows the greatest strength or consistency of relationship?

Answers

Because r must be between -1.00 and +1.00 and the closer to either indicates a stronger relationship, the strongest must be -0.74. It is a strong negative correlation.

Any statistical association, whether causal or not, between two random variables or bivariate data is referred to in statistics as correlation or dependency. A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

A relationship between two variables is said to have a positive correlation when both variables move in the same direction. Consequently, when one variable rises as the other rises, or when one variable falls while the other falls. The link between height and weight is a good example.

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When you multiply a mixed number by ___________ ,the product is equal to the mixed number. What do you put in the blank?

Answers

Answer:

1

Step-by-step explanation:

because 1/2 time 1 = 1/2

Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. When you multiply a mixed number by another mixed number the product is equal to the another mixed number. For exact same mixed number, when you multiply a mixed number by one  number the product is equal to the mixed number.

What is mixed number?

Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. As it is the combination of two types of number thus it is known as mixed number.

Mixed number are used to count the whole and part of a thing together.

For example five and a half of a thing can be written as,

\(5+\dfrac{1}{2} =5\dfrac{1}{2}\)

Now when a mixed number is multiplied by the another mixed number the product of both is a another mixed number.

For example let multiply 2 and a half with 3 and a half. The result is,

\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{7}{2} \times \dfrac{9}{2}\)

\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{63}{4}\)

\(2\dfrac{3}{2} \times3\dfrac{3}{2} =15\dfrac{3}{4}\)

Thus when you multiply a mixed number by another mixed number the product is equal to the another mixed number.

If the product should be equal to the given mixed number thus it need to be multiplied by the one. Thus when you multiply a mixed number by one  number the product is equal to the mixed number.

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What is the scale factor

What is the scale factor

Answers

Answer:

1.5

Step-by-step explanation:

18/12 = 1.5

Answer: LM

Step-by-step explanation:

subtract and the use PEMDAS

14 The people working for a company work in Team A or in Team B. number of people in Team A: number of people in Team B = 3/4; 4/5 of Team A work full time. 24% of Team B work full time. Work out what fraction of the people working for the company work full time. Give your fraction in its simplest form.

Answers

Answer:

Let's denote the number of people in Team A as a, and the number of people in Team B as b. From the problem, we know that:

a/b = 3/4

Now, we also know that 4/5 of Team A and 24% (or 24/100 = 6/25) of Team B work full time. So, the number of people working full time from Team A is 4a/5 and from Team B is 6b/25.

The total number of people working for the company is a + b, and the total number of people working full time is 4a/5 + 6b/25.

We are asked to find the fraction of people working full time, which can be represented as:

(4a/5 + 6b/25) / (a + b)

Firstly, we need to have a common denominator for the fractions, so we can express 4a/5 as 20a/25:

\((20a/25 + 6b/25) / (a + b)\)

Simplifying, we can write this as:

\((20a + 6b) / (25(a + b))\)

Now, since we know a/b = 3/4, we can substitute a = 3b/4 in the above expression:

\((20*(3b/4) + 6b) / (25((3b/4) + b))\)

Simplifying the above, we get:

\((15b + 6b) / (25((3b/4) + b)) = 21b / 25b\)

So, the fraction of people working full time is 21/25.

question in picture
correct answer marked brainliest

question in picturecorrect answer marked brainliest

Answers

C because you need to use the formula and then calculate

need help with trigonometry

need help with trigonometry

Answers

Answer:

\(\sf \tan(A) & =\dfrac{9\sqrt{22}}{44}\)

Step-by-step explanation:

If angle C is the right angle, then side c is the hypotenuse.

Use Pythagoras' Theorem \(a^2+b^2=c^2\) to find the length of side a:

Given:

b = 2√22c = 13

\(\implies a^2+(2 \sqrt{22})^2=13^2\)

\(\implies a^2+88=169\)

\(\implies a^2=81\)

\(\implies a=\sqrt{81}\)

\(\implies a=9\)

Tan Trig Ratio

\(\sf \tan(\theta)=\dfrac{O}{A}\)

where:

\(\theta\) is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

\(\theta\) = AO = side opposite angle A = a = 9A = side adjacent angle A = b = 2√22

\(\begin{aligned}\implies \sf \tan(A) & =\dfrac{9}{2\sqrt{22}}\\\\ & =\dfrac{9}{2\sqrt{22}} \times \dfrac{\sqrt{22}}{\sqrt{22}}\\\\ & = \dfrac{9\sqrt{22}}{44} \end{aligned}\)

need help with trigonometry

Answer:

\(\boxed{ \sf \bold{tanA = \frac{9}{2\sqrt{22} } }}\)

Given:

c = 13b = 2√22

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

Formula's:

tan(x) = opposite/adjacent     :  tane rulea² + b² = c²     :  Pythagoras Theorem

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

To find Tan A, first find opposite side of angle A and adjacent side which is already given of 2√22

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

Opposite side:

(2√22)² + b² = 13²b² = 169 - 88b² = 81b = √81b = 9

Now find tan A:

tanA = 9/2√22

need help with trigonometry



A local charity collected 163 cans of food
every day for 14 days. How many cans did they collect
in the first 10 days? How many did they collect in the
remaining 4 days? How many cans did they collect in
all? Solve this problem any way you choose!

Answers

Answer:

This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?

Step-by-step explanation:

Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $136. Two adults and three children must pay $97. Find the price of the adults
ticket and the price of a child's ticket.

Answers

The price of an adult ticket is $20

The price of a child's ticket is $19

How to calculate the price of an adult and child ticket ?

Let x represent the price of a child ticket

Let y represent the price of an adult ticket

Three adults and four children must pay 136

3y + 4x= 136.........equation 1

Two adults and three children must pay $97

2y + 3x= 97.........equation 2

From equation13 1

3y+4x= 136

3y= 136-4x

y= 136-4x/3

Substitute 136-4x/3 for y in equation 2

2(136-4x) + 3x= 97

272-8x/3 + 3x/1= 97

272-8x+9x/3= 97

cross multiply

272-8x+9x=291

collect the like terms

-8x+9x= 291-272

x= 19

Substitute 19 for x in equation 1

3y+4x= 136

3y + 4(19)= 136

3y+ 76= 136

3y= 136-76

3y=60

y= 60/3

y= 20

Hence children tickets cost $19 and adult tickets cost $20

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WILL GIVE BRAINLIEST!! NEED ANSWERS!!
1. -12x = -6
2. -15x=5
3. X+4= -13
4. -x+6= -3
5. -2x+4 = -10
6. -18x-2= 6
7. 20x-4= -2
8. 2(4x-2) = -2
9. -2 ( 3x+4) = -2
10. - (x+3) = -10

Answers

1. x=-6+12 = 6

2. x=5+15 = 20

3.x =-13-4= -17

4. -x= -3-6 = -9

x=9

5. 2x = -10-4

2x = -14

x =-14/2 =-7

6. -18x=6+2

-18x =8

x=8+18 = 26

7. 20x =-2+4

20x =2

x=2/20 =1/10

8. 8x -4 =-2

8x = -2+4

8x =2

x =2/8 = 1/4

9. -6x - 8 =-2

-6x = -2+8

-6X = 6

X = 6/-6 = 1/-1

10. -X - 3 =-10

-X = -10 +3

-x = -7

x = 7

Pleaze i need help i REALLY need help im REALLY suffered ToT

Pleaze i need help i REALLY need help im REALLY suffered ToT

Answers

Answer:

estimating your answer doesn't always have to be right it's just a simple guess

The centerline of two straights is projected forward to meet at Point of Intersection, whose chainage is 3276.78 m and the deflection angle being 30° 00 00". The straights are to be connected by a circular curve of radius 200 m, and is to be set by 20 m standard chord, using Rankine's method. Calculate,

(i) Tangent length
(ii) Chainage at the Point of Curve
(iii) First subchord
(iv) Curve length
(v) Chainage at the Point of Tangency
(vi) Second subchord
(vii) Number of Full chords
(viii) Chords due to first, second and third subchord.
(ix) Midordinate
(x) External distance

Use π = 3.1416

Answers

(i) tangent length is 64.99 m, (ii) 3359.77 m, (iii) 19.12 m, (iv) 126.08 m, (v) 3485.85 m, (vi) 20 m, (vii) 6, (viii) 12.94 m, 10 m, and 8.06 m, respectively, (ix) 0.65 m, (x) 0.52 m.

To calculate the values, we can use the following formulas:

(i) Tangent length:

Tangent length = (Radius of curve) × tan(Deflection angle/2)

Tangent length = 200 × tan(15°)

Tangent length = 200 × 0.2679

Tangent length = 53.58 m (rounded to 2 decimal places)

(ii) Chainage at the Point of Curve:

Chainage at the Point of Curve = Chainage at Point of Intersection + Tangent length

Chainage at the Point of Curve = 3276.78 m + 53.58 m

Chainage at the Point of Curve = 3359.36 m (rounded to 2 decimal places)

(iii) First subchord:

First subchord = Standard chord - Tangent length

First subchord = 20 m - 53.58 m

First subchord = -33.58 m (negative indicates a deflection angle greater than 90°)

(iv) Curve length:

Curve length = (Deflection angle/360°) × (2π × Radius of curve)

Curve length = (30°/360°) × (2π × 200)

Curve length = (1/12) × (2π × 200)

Curve length = 104.72 m (rounded to 2 decimal places)

(v) Chainage at the Point of Tangency:

Chainage at the Point of Tangency = Chainage at the Point of Curve + Curve length

Chainage at the Point of Tangency = 3359.36 m + 104.72 m

Chainage at the Point of Tangency = 3464.08 m (rounded to 2 decimal places)

(vi) Second subchord:

Second subchord = Standard chord - First subchord

Second subchord = 20 m - (-33.58 m)

Second subchord = 53.58 m

(vii) Number of Full chords:

Number of Full chords = Curve length / Standard chord

Number of Full chords = 104.72 m / 20 m

Number of Full chords = 5.236 (rounded to 3 decimal places)

Number of Full chords = 6 (rounded to the nearest whole number)

(viii) Chords due to first, second, and third subchord:

Chords due to first subchord = First subchord × (Number of Full chords - 1)

Chords due to first subchord = -33.58 m × (6 - 1)

Chords due to first subchord = -167.9 m (rounded to 1 decimal place)

Chords due to second subchord = Second subchord × 2

Chords due to second subchord = 53.58 m × 2

Chords due to second sub

chord = 107.16 m

Chords due to third subchord = Standard chord - First subchord - Second subchord

Chords due to third subchord = 20 m - (-33.58 m) - 53.58 m

Chords due to third subchord = 107.16 m

(ix) Midordinate:

Midordinate = Radius of curve - (Chords due to first subchord + Chords due to second subchord + Chords due to third subchord)

Midordinate = 200 m - (-167.9 m + 107.16 m + 107.16 m)

Midordinate = 63.7 m (rounded to 2 decimal places)

(x) External distance:

External distance = Radius of curve - Midordinate

External distance = 200 m - 63.7 m

External distance = 136.3 m (rounded to 2 decimal places)

Therefore, the values are as follows:

(i) Tangent length = 53.58 m

(ii) Chainage at the Point of Curve = 3359.36 m

(iii) First subchord = -33.58 m

(iv) Curve length = 104.72 m

(v) Chainage at the Point of Tangency = 3464.08 m

(vi) Second subchord = 53.58 m

(vii) Number of Full chords = 6

(viii) Chords due to first, second, and third subchord = -167.9 m, 107.16 m, 107.16 m

(ix) Midordinate = 63.7 m

(x) External distance = 136.3 m

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PLEASE HELP ME Ashley has a movie rental card worth $75. After the first rental the card's value is
$72.25. After she rents the second movie the value of $69.50. After she rents the third.
the card's value is $66.75. Assuming this pattern continues what the equation to
determine the card's value A after n rentals. Then after 10 rentals what is the card's
value?

Answers

47.5 dollars because a is 2.75 and n is 10
I think an equation might be 75-2.75(n), sorry if I get this wrong

I dont understandquestion a)

I dont understandquestion a)

Answers

Answer:

add all of the vegetables she bought

Step-by-step explanation:

Add them all up and show your work adding them up together
the total mass is their combined mass

(8x-7)+5 when x is 2

Answers

Answer:

If X=2 then the equation would be solved starting with 8x2=16 then take 16 and subtract it by 7 which would equal 9, then you take 9 and add 5 to it and that would give you the answer of 14

Step-by-step explanation:

(8x-7)+5   x=2

(8x2-7)+5

(16-7)+5

9+5

Answer 14

I hope this helps you

Which set of side lengths would notform a triangle?A.3 cm, 4 cm, 5 cmC.10 cm, 12 cm, 24 cmB.6 cm, 8 cm, 10 cmD.12 cm, 15 cm, 26 cm

Answers

Answer: 3, 4, 5

Step-by-step explanation:

I need help with this question

I need help with this question

Answers

Answer:

4.5 .       ^14

Step-by-step explanation:

dont cheat in tests next time not everyone is as kind as me

Answer:

It would be 4.5 x 10^14

Step-by-step explanation:

Just multiply the decimals and for the exponents, you add them.

Other Questions
31 pointWhich of the following is an example of adhesion?water forming raindropswater attracted to the side of a glass tubehydrogen bondingsurface tension on a pondPrevious A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760 b. 456,976 c. 703,040 d. 1,679,616 Please select the best answer from the choices provided A B C D. A dilation is a nonrigid What percentage of the data values are greater than 80? what is the correct way to add 1 to the $count variable?$count =+1;++count;$count++;count++;I dont know The function g(x) is graphed on the coordinate grid. What is the domain of g(x)? x5 x>5 x0 x>0 because of the rainy season, the depth in a pond increase 3% each week. before the rainy season started, the pond was 10 feet deep. what is the equation that best represents the depth of the pond each week? hint: use the formula y Water is to be cooled by refrigerant 134a in a Chiller. The mass flow rate of water is 30 kg/min at 100kpa and 25 C and leaves at 5 C. The refrigerant enters an expansion valve inside the heat exchanger at a pressure of 800 kPa as a saturated liquid and leaves the heat exchanger as a saturated gas at 337.65 kPa and 4 C.Determinea) The mass flow rate of the cooling refrigerant required.b) The heat transfer rate from the water to refrigerant. The table has a set of expressions representing the sums of rational and irrational numbers. Find each sum, and indicatewhether the sum is rational or irrational.Drag the labels to the correct locations on the table. Each label can be used more than once. How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (Round to two decimal places if necessary.) Six less than a number is twenty Compare Gatsby's old life vs now, do you think he willever fit in with the East Eggers social class?Voc Four ways in which to address the identified socio economic factors in order to achieve your goal 3 Personality traits _______________________ IN SENTENCESAccording to your family what are you like? _______________________ IN SENTENCES3 Activities you like to do _________________________ IN SENTENCESIs there anything thing you don't like doing ? _______________________ IN SENTENCESWhat do you need for your classes? ___________________________ IN SENTENCESWhat do you find in your classrooms?__________________________ IN SENTENCESWhat can you find in your book-bag?_________________________ IN SENTENCESWhat are your favorite classes?_______________________________ IN SENTENCESWhat classes are the most difficult for you? ____________________________ IN SENTENCES What is the energy transformation as the fragments move through the gel? how could the eighth amendment affect the debate over the death penalty? A downtown building is 720 feet tall. Maggie makes a scale model of the building at 1:240 of its actual size. How tall is the model? The hiv virus attacks only a certain type of white blood cells, and not other cell types. Why?. What does the upper part of a YOUNGERmountain top look like? Ch. 1. Problems 6, 7 & 96. The only swimmng pool at a motel is outdoors. It is 5.0 m wide and 12.0 m long. If the weeklyevaporation is 2.35 inches how many gallons of water must be added to the pool if it does not rain? If during the next week the pool still loses two. 35 inches of water to evaporation, even with 20 mm of rainfall, how many liters of water must be added?