Which situation could this graph represent?

a. speed of a car starting from a stop sign and then approaching a stoplight
b. riding your bike slowly up a steep hill and then quickly down the other side
c. total rainfall during a rainy day
d. temperature as the weather changes from rainy to snowy

Answer:

i think area of the rug is 1 square yards

Step-by-step explanation:

area = 3/4×8/6

area = 2/2

area = 1 square yards

Answer:

 [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

Step-by-step explanation:

[tex]\frac{x^2 + y^2}{x^4}[/tex] = [tex]\frac{x^2}{x^4}[/tex] + [tex]\frac{y^2}{x^4}[/tex] = [tex]\frac{1}{x^2}[/tex] + [tex]\frac{y^2}{x^4}[/tex]

The solution of the expression (x²+y²)/x⁴ is [(1/x² + y²/x⁴)].

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is  (x²+y²)/x⁴. The expression will be solved as,

E =  (x²+y²)/x⁴

Separate the terms into two fractions,

E =  (x²+y²)/x⁴

E = (x²/x⁴) + ( y² / x⁴)

Divide the divisible terms and solve,

E = (1/x² + y²/x⁴)

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Standard deviation of the numbers is 16.154.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

x=Sum of n values/ Total number of values

x=1432/20=71.6

The Standard deviation of the data is

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

=√5218.8/20

=√260.94

=16.154

Hence, standard deviation of the numbers is 16.154.

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Answer:

51/10, 4 and 1/9, 5.116, and 5.98

Step-by-step explanation:

least to greatest

Answer:

4 1/9, 51/10, 5.116, 5.98

Step-by-step explanation:

4 1/9

= 37/9

= 4.111...

51/10

= 5.1

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

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Answer:

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

I only solved #53 , it is inverse.

Answer:

slope = -4/5 and y-intercept = -9/5

Step-by-step explanation:

make y the subject of the formula

(3,1)

x=3; y=1

Step-by-step explanation:

Algebraic

Answer:

The solution to this system of linear equations is (3, 1).

Step-by-step explanation:

Here we have two equations for x.  We can eliminate x by setting these two equations equal to one another, obtaining 4 - y = y + 2, or 2 = 2y

Then y must be 1.  Substituting this into the first equation, we get x = 4 - 1 = 3.

The solution to this system of linear equations is (3, 1).

Answer:

$6.25

Step-by-step explanation:

10 pencils = $0.5 times 10 = $5

$5 plus $1.25 (price of the notebook) = $6.25

Answer:

230/p = 23/100 You would need 1,000 g of snack mix.

Step-by-step explanation:

There are 1000 snack mix would be needed to get 230g of almonds.

Given that;

23% of a snack mix is almonds.

And, there are 230g of almonds.

Let us assume that;

The number of snacks = x

Hence, it can be written as,

23% of x = 230

23/100 × x = 230

23x = 23000

x = 23000/23

x = 1000

Therefore, The number of snacks = 1000 g

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Answer:

wot

Step-by-step explanation:

[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]

Answer:

24,25,26

Step-by-step explanation:

Answer:24, 25, 26

Step-by-step explanation:

Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.

The length of the rope needed is 15 feet

Given the following parameters;

Required

To get the length of the rope, you will use the pythagoras theorem expressed as:

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

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Answer:

20%

43*0.8=34.4

Hope This Helps!!!

Answer:

Shifted to the right by 9 units, and down by 7 units

Step-by-step explanation:

y=x is the origin.

(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction

(you can be able to review why this is from online resources or you can ask your teacher)

the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction

let's sum up:

for this situation,

- what is inside the parentheses is the x

- what is outside the parentheses is the y

- the x-values direction shifts opposite from the sign (+/-)

- the y-values direction shifts like the sign (+/-)

So,

the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.

Answer:

m=-1.5 and c=0.5

Step-by-step explanation:

3x+2y-1=0

divide everything by 2, to get y.

3x/2=1.5x, -1/2=-0.5.

then separate 1.5x and -0.5 from y (put them on the other side)

there, y=-1.5x+0.5

m=-1.5, and c=0.5

answer

2.5

Step-by-step explanation:

that is what I got so

Answer:

4/10 or 0.4

Step-by-step explanation:

I just need 20 charecters

Answer:

slope = 0.4

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

The answer to the first question is 32 but I don't know the slope of the line, sorry

Answer: 310

Step-by-step explanation:

35-15= 20

6200 / 20 = 310

Answer:310

Step-by-step explanation:divide 6200 by 20 and it gives you 310

Answer:

a. 3/10

b. 1/10

c. 4/10 or 2/5

Step-by-step explanation:

There is 4 brown, 3 green, 2 red, and 1 purple if you add those all up you get 10. Since there is a total of 10 marbles in the bag and 3 of those are green 3/10 of the marbles are green. Same goes with purple, 1 of the 10 marbles in the bag is purple.

To solve for green and purple you must add them. Since there is 3 green and 1 purple that gives you 4. 4 out of 10 marbles are green or purple. 4/10 can also be simplified to 2/5

Answer:

  h(0) = -4

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  h(x) = -3x -4

  h(0) = -3·0 -4 = 0 -4

  h(0) = -4

_____

Additional comment

In general, a polynomial function evaluated when the variable is zero will have the value of any added constant. All of the variable terms will be zero. Since the constant in this function is -4, we know immediately that h(0) = -4.

Answer:

[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]

Answer:

y=5x+33

Step-by-step explanation:

y-y1=m(x-x1)

y-8=5(x-(-5))

y-8=5(x+5)

y=5x+25+8

y=5x+33

The given information of the base length and the height of the

rectangle are sufficient to find the area of the triangle.

Correct response:

Given that the parameters are;

The base of the triangle = [tex]\sqrt{245}[/tex] cm

The height of the triangle = [tex]\mathbf{\sqrt{20}}[/tex] cm

Required:

To find the area of the triangle

Solution:

Therefore, the area, A, of the given triangle is given as follows;

[tex]A = \dfrac{1}{2} \times \sqrt{245} \ cm \times \sqrt{20} \ cm= \dfrac{1}{2} \times \sqrt{4,900} \ cm^2= \dfrac{1}{2} \times 70 \ cm^2 = 35 \ cm^2[/tex]

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Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable

Answer:

4 : 3 : 3

Step-by-step explanation:

2/5 of 150 = 300/5 or 60;  therefore, there are 60 blue marbles

3/10 of 150 = 450/10 or 45;  therefore, there are 45 clear marbles

150 - (60 + 45) = number of green marbles;  there are 45 green marbles

Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3