A curve is described by the following parametric equations:
x = 4-t
y = t^2 -2

Answer:

The slope is  

m =5

The y-intercept is  

b =-7 or (0,7)

Step-by-step explanation:

Answer:

15.10 ft

Step-by-step explanation:

It would be helpful to draw the figure from the problem statement above. Drawing it, would give you a right triangle shape where the base is equal to 10 ft + 8 ft = 18 ft with the angle of 40 degrees. We use knowledge on trigonometric functions to solve this.

tan (theta) = opposite side / adjacent side

tan 40 = x / 18

x = 15.10 ft

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Answer: The area of one wall is  216.72 ft^2.

Step-by-step explanation:

16.8 *  12.9 = 216.72

Answer:

Step-by-step explanation:

1/2

Answer:

AC = 3.06

Step-by-step explanation:

Answer:C

Step-by-step explanation:

By visual inspection, the best-fitting regression model for the data plot is the linear regression.

A regression model determines a relationship between an independent variable and a dependent variable, by providing a function.

Determining the regression model :-

From the graph, we can see that the points appears to be on a straight line such that, as the x values increases, the y values also increases,

This type of model is a linear regression model.

Hence, the best-fitting regression model for the data plot is the linear regression.

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Answer:

hosta = $5 each

geranium = $2 each

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

Leas's cost: 11 h + 7 g = 69

Elisa’s cost: 10h + 7g = 64

Where h is the price of one hosta and g is the price of one geranium.

Subtracting Elisa's cost to Leas's cost:

11 h + 7 g = 69

-

10h + 7g = 64

____________

h = $5

Replacing h in one equation:

11 (5) + 7 g = 69

55 +7g =69

7g = 69-55

7g= 14

g= 14/7

g= $2

Answer:

1. Slope: -3; passes through (0,5)

y = mx + b

5 = -3(0) + b

5 = b

y = -3x + 5

2. Passes through (0, -2) and (4,-1)

m = -1 + 2 / 4 - 0

m = 1/4

y = mx + b

-2 = 1/4(0) + b

-2 = b

y = 1/4x - 2

Step-by-step explanation:

Part 1

1. write down the slope intercept formula

2. replace x and y by their value

3. solve for b

4. write your answer by putting them in the formula again

Part 2.

1. label your ordered pairs and write down the slope formula

2. solve for the slope by replacing the letters by their values

3. choose any one of the pairs, write down the slope intercept form formula and replace the letters by their values.

4. solve for b, and then put your answers back into the formula.

Answer:

7 meters

Step-by-step explanation:

Circumference is equal to pi times diameter. If you divide both sides of the equation by pi you get diameter of the Big Ben clock. If you divide diameter by 2 you get radius.

Answer:

R = 35.0

Step-by-step explanation:

We know tan theta = opp/ adj

tan R = r/s

tan R = 7/10

Take the inverse tan of each side

tan ^-1 tan (R) = tan ^-1 (7/10)

R =34.9920202

R = 35.0

Answer:

A. 35º

Step-by-step explanation:

Put the 1 in the middle, and then put on two opposite circles two numbers that sum to 11:

1, 10

2, 9

3, 8

4, 7

5, 6

Yes, you put the digits 1 to 11 in the circles so that every line has the same total.

A number is a count or measurement that is really an idea in our minds.

The digits 1 to 11 in the circles so that every line has the same total.

The given digits are as follows;

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11.

The sum of the first number and last number is;

1 + 11 = 12

Similarly, the sum of the second number and second last element is;

2 + 10 = 12

The sum of the third number and third last element is;

3 + 9 = 12

The sum of the fourth number and fourth last element is;

4 + 8 = 12

The sum of the fifth number and fifth last element is;

5 + 7 = 12

The sum of the sixth number and sixth last element is;

6 + 6 = 12

The sum of the seventh number and seventh last element is;

7 + 5 = 12

The sum of the eighth number and eighth last element is;

8 + 4 =12

The sum of the ninth number and ninth last element is;

9 + 3 = 12

The sum of the tenth number and tenth last element is;

10 + 2 = 12

The sum of the eleventh number and eleventh last element is;

11 + 1 = 12

Hence, yes you put the digits 1 to 11 in the circles so that every line has the same total.

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Answer:

x = 4.25

Step-by-step explanation:

First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).

Now, the equation can be written as 9^(8-x) = 9^(3x-9)

Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:

8-x = 3x-9.

8 = 4x - 9

17 = 4x

x = 4.25

Answer:

2.3 or 2

Step-by-step explanation:

Area of the top:

3.14 x 15^2 = 706.5 square feet.

Volume = area of top x height:

Volume = 706.5 x 60 = 42,390 cubic feet

Answer:

The legs are both of length 4√2

Step-by-step explanation:

Let the length of one of the two equal legs be x.  Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or

2x^2 = 64, or x^2 = 32  =  2(16)

Solving for x, x = 4√2.  The legs are both of length 4√2.

Answer: 11 pounds

Step-by-step explanation:

x : # of pounds an electronic is

9.98 + 0.75x : total cost of shipping an electronic that is "x" pounds

9.98 + 0.75x = 18.23

0.75x = 8.25

x = 11 pounds

Answer:

1/4 is the largest number in the list

Answer:

I have attached a picture with the work to your question.

Please see the attachment below.

I hope this helps.

Answer:

16

Step-by-step explanation:

Therefore:

Weight of flour used for muffin =Total weight of flour-(Weight of flour used for bread+Leftover)

=45-(15.6+18.04)

=45-33.64

=11.36 oz

Since each muffin is made with 0.71 oz of flour

Number of muffins made=11.36/0.71

=16

16 muffins were made.

Answer:

ooooh Mthswath again. a=8  b=1/8  c=4/8 or 1/2

Step-by-step explanation:

a= there are 8 outcomes you can multiply the outcomes. 2×2×2=8

b= (i don't want to insert a picture again, as I already did for the last one you asked) So it is 1/8

c= Again, list out all the possibilities and you will find there are 4  with at least 2 tails or simplify it, 1/2

Answer:

Step-by-step explanation:

The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.

i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)

The probability that the sum of the two numbers that show up is 7 is

6/36 = 1/6

ii) the number of outcomes whose sum is even are 18

The probability that the sum of the two numbers that show up is even is

18/36 = 1/2

ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)

The probability that the sum of the two numbers that show up is greater than 9 is

6/36 = 1/6

3) this is a poisson distribution. We want to determine the mean.

Mean = np

p = 5/200 = 0.025

n = 600

Therefore,

Mean = 0.025 × 600 = 15 eggs

15 eggs are expected to be broken from a crate containing 600 eggs

Answer:

m = - 4, b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = - 4x - 2 ← is in slope- intercept form

with m = - 4 and b = - 2

Answer:

Area, [tex]A=69.21\ \text{inches}^2[/tex]

Step-by-step explanation:

We have,

The diameter of a basketball is 9.39 inches.

It is required to find the number of square inches of material used in constructing a basketball. It means we need to find the area of basketball. It is given by :

[tex]A=\pi r^2[/tex]

r is radius of basketball, r = 4.695 inches

So,

[tex]A=3.14\times (4.695)^2\\\\A=69.21\ \text{inches}^2[/tex]

So, the area of the basketball is [tex]69.21\ \text{inches}^2[/tex].

Step-by-step explanation:

In order going from top to bottom, we have 1/1000 (or 0.001), 1/100 (or 0.01), 1/10 (or 0.1), 10, 100, 1,000 , 10,000, and 100,000. Hope this helps!

Answer:

14. 14.86 (simple subtraction)

15. 4 dollars (156/39 = 4)

18. 49 (36,39,44,48,50,50,54,55 so mean of 48 and 50 is 49)

19.14 (3.5/0.25)

20. A(understanding question contex)

25. 3a + 3b or C (add all the a's and b's together)

26. 5 (Divide apples by 3)

28.C(multiply all the sides together)

29. A (12/7 is fraction form of 12 : 7)

30. C (rate is 20 so 6 * 20 = 120)

31. D

Hoped this helped, this took a while to do :)

Answer:196 children 140 adults

Step-by-step explanation:

Answer:

[tex]216=2w \times w[/tex]

Step-by-step explanation:

Assuming that the patio is a rectangle, we have

[tex]A= l\times w[/tex]

Where [tex]l[/tex] is the length and [tex]w[/tex] is the width.

Now let's assume that the length of the patio is double than the width.

[tex]l=2w[/tex]

So, the equation that represents this problem is

[tex]216=2w \times w[/tex]

Answer:

x(x+6)=216

Step-by-step explanation:

It would actually be x instead of w because in the equation, they are using x's.  

The equation would then be solved by making the equation x^2+6x=216.

By completing the square using (b/2)^2, you would then get the width to be 12 and the length to be 18.

Hope this helps!

Answer: The items cost as follows;

(a) Brush = $3.50, (b) Sketchbook = $21 and (c) Paint set = $28

Step-by-step explanation: First of all we shall assign letters to the unknown variables, hence we shall call the brush x, the sketchbook y, and the paint set we shall call z.

The total amount spent by Corey was $52.50 because after buying all he needed, he had $2.00 left out of a total of $54.50. This means his transaction can be expressed as follows;

x + y + z = 52.50

However, we know that the brush was 1/6 as much as the sketchbook, that is, if the sketchbook is y, then the brush which is x shall be 1/6 of y. Simply put, x = 1/6y or x = y/6.

Similarly, the sketchbook cost 3/4 of the paint set. If the paint set is z, that means y = 3/4z or y = 3z/4.

Note however that, if y = 3z/4, then by cross multiplication,

4y = 3z

4y/3 = z

Having derived that x = y/6 and z = 4y/3, we can substitute for the values of x and z into the original equation

x + y + z = 52.50

y/6 + y + 4y/3 = 52.5

using a common denominator which is 6, you now have;

(y + 6y + 8y)/6 = 52.5

By cross multiplication, you now have

15y = 52.5*6

15y = 315

Divide both sides of the equation by 15

y = 21

Therefore, if the sketchbook is y, then the sketchbook costs $21.

Also if the brush is x, then the brush costs

x = y/6

x = 21/6

x = 3.50 (The brush costs $3.50)

Also if the sketchbook costs 3/4 of the paint set, then

y = 3z/4

21 = 3z/4

21*4 = 3z

84 = 3z

Divide both sides of the equation by 3

28 = z (The paint set costs $28)