The four students in the table below each recorded the time and distance traveled while exercising. Exercising Distance (miles) Time (minutes) Gia 2 30 Harris 5 50 Ian 3 40 Jackson 4 80 Which list ranks the students from fastest walker to slowest walker? Jackson, Gia, Ian, Harris Harris, Jackson, Ian, Gia Harris, Ian, Gia, Jackson Jackson, Harris, Ian, Gia

Answer:

Step-by-step explanation:

The trick here is to notice that :

Now let's replace by the values we khow :

So AB=6 cm and DE=15 cm

From the given information in the diagram

a) The length of DE is 15cm and

b) The length of AB is 6cm

From the question,

Triangles ABC and CDE are mathematically similar.

a) To determine the length of DE

Since ΔABC is similar to ΔCDE

By similar triangles theorem, we can write that

[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]

From the diagram

/BC/ = 5cm

/CA/ = 8cm

/EC/ = 24 cm

/DE/ = ?

Putting these values into

[tex]\frac{/BC/}{/DE/}=\frac{/CA/}{/EC/}[/tex]

We get

[tex]\frac{5}{/DE/}=\frac{8}{24}[/tex]

∴ [tex]8 \times /DE/ = 5 \times 24[/tex]

Now, divide both sides by 8

[tex]\frac{8 \times /DE/}{8}= \frac{5 \times 24}{8}[/tex]

[tex]/DE/ = \frac{120}{8}[/tex]

/DE/ = 15cm

b) To work out the length of AB

Also, by similar triangles theorem, we can write that

[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]

From the diagram

/AB/ = ?

/CD/ = 18cm

/CA/ = 8cm

/EC/ = 24 cm

Putting these values into

[tex]\frac{/AB/}{/CD/}=\frac{/CA/}{/EC/}[/tex]

We get

[tex]\frac{/AB/}{18}=\frac{8}{24}[/tex]

Now, multiply both sides by 18, that is

[tex]18 \times \frac{/AB/}{18}=\frac{8}{24} \times 18[/tex]

[tex]/AB/ = \frac{144}{24}[/tex]

/AB/ = 6cm

Hence,

a) The length of DE is 15cm and

b) The length of AB is 6cm

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Answer:

32

Step-by-step explanation:

A : B : C: total

2   3    4   2+3+4 = 9

Take the number of rolls received 72 and divide by 9

72/9 = 8

Multiply each number by 8

A     :  B    :   C   : total

2*8   3*8    4*8   9*8

 16     24      32    72

C received 32 rolls

Answer:

87

Step-by-step explanation:

Sequence 1 has common difference of 4 and sequence 2 has 7

The first terms are common

We need a new sequence with common difference of:

So the next common term is 1+28= 29 and the following one is 29+28= 57

Sum of 3 terms:

Answer:

87

Step-by-step explanation:

The first sequence:

1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49, 53, 57, 61...

The second sequence:

1, 8, 15, 22, 29, 36, 43, 50, 57, 63...

The first three common terms are 1, 29, 57.

The sum of the first three common terms:

1 + 29 + 57

= 87

2 < x < 12,

4 < x < 21,

-1 < x < 9

0 < x < 8

x<6

From above: 4 < x < 6 --> x = 5.

Answer: B.

Answer:

-(x - 4)² + 6

Max height: 6

Step-by-step explanation:

Step 1: Factor out negative

0 = -(x² - 8x + 10)

Step 2: Divide by -1

0 = x² - 8x + 10

Step 3: Move 10 over

-10 = x² - 8x

Step 4: Complete the Square

-10 + 16 = x² - 8x + 16

6 = (x - 4)²

Step 5: Move 6 over

(x - 4)² - 6

Step 6: Multiply by -1

-(x - 4)² + 6

The maximum height of the puck is 6 feet. We look at k in f(x) = a(bx - h)² + k.

Answer:

-(x-4)^2+6=0

maximum point (4,6)

max=6

Step-by-step explanation:

−x^2 + 8x − 10 use the formula (b/2)^2 to create a new term to complete the square: b=8 so the new term is (8/2)^2 = 16

−x^2 + 8x − 10+16=0

factorize : -x^2+8x+16-10

-(x-4)^2+6=0

to find the maximum value : x= -b/2a b=8 and a=-1

x=-8/-2

x=4 substitute the value of x in the equation:

-4^2+8(4)-10=-16+32-10=6

Answer:

9 burritos

Step-by-step explanation:

We can use ratios to solve

8 cups         12 cups

----------   = -----------------

6 burritos     x burritos

Using cross products

8x = 6*12

8x = 72

Divide by 8

8x/8 =72/8

x = 9

9 burritos

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.

As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Answer:

In the graph attached there is a sample generated with a correlation coefficient r=-0.5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We are going to use the areas given to find the lengths of the sides of each of their respective squares. For the purple square, the area is 35 units squared. Because the formula for the area is A = s * s, then we can fill in the value for the area and solve for s, the side length, of the purple square.

[tex]35=s^2[/tex] and

[tex]s=\sqrt{35}[/tex]. That side length also serves as the height of the right triangle. Now on to the blue square on the bottom. It has an area of 50 units squared, so

[tex]50=s^2[/tex] and

[tex]s=\sqrt{50}[/tex]. We could feasibly simplify that, but it's not necessary, really. That side serves as the base of the right triangle. Now we can use Pythagorean's Theorem to find the length of the hypotenuse of the right triangle, which also serves as the side of the big blue square. We will call the side of the big blue square x.

[tex]x^2=(\sqrt{35})^2+(\sqrt{50})^2[/tex] and

[tex]x^2=35+50[/tex] and

[tex]x^2=85[/tex] and

[tex]x=\sqrt{85}[/tex]. That is the side length of the large blue square. The area for the square is s * s, and since we know the side length to be √85:

[tex]A=(\sqrt{85})(\sqrt{85})[/tex] so

A = 85 units squared

Answer:

Step-by-step explanation:

4(y+3) + 3(y+2)

= 4y + 12 + 3y + 6

= 4y + 3y + 12 + 6

= 7y + 18

Hope this helps

plz mark it as brainliest!!!!!!!!!!

Step-by-step explanation:

4(y+3)+3(y+2)

4y+4(3)+3y+3(2)

4y+12+3y+6

4y+3y+12+6

7y+18

hope it helps

Answer:

A

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form

with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus

[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]

Substitute this value into y

y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]

   = [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]

Since a > 1 then the vertex is a minimum, thus

minimum value = [tex]\frac{1}{6}[/tex] → A

Answer: 1.25 cups of flour each

Step-by-step explanation:

6.25 cups is for 5 batches of cookies. To find how much flour goes into each batch, divide 6.25 by 5.

6.25 / 5 = 1.25

Answer:

1.3 cups

Step-by-step explanation:

If 6.25 cups were used for 5 batches, then 1 batch will be 6.25 divided by 5 = 1.3 cups

Hope this helps

Answer:

16pi

Step-by-step explanation:

Answer:

50.24 cm^2

Step-by-step explanation:

The formula of the area of a circle is πr².

by substituting each values as π=3.14, r²=4², we get, 3.14×4²=3.14×16

= 50.24cm²

Answer:

x³ - 4x² - 25x + 28

Step-by-step explanation:

Step 1: Write out binomial linear factors

(x - 1)(x - 7)(x + 4)

Step 2: Expand

(x²  - 8x + 7)(x + 4)

Step 3: Expand

x³ - 4x² - 25x + 28

Answer:

a. 5.25cm

b. 374.6 cm^2

Step-by-step explanation:

The radius of the conical cup is half the length of the arc formed

Mathematically, the length of the arc would be;

L = theta/360 * 2 * pi * r

L = 135/360 * 2 * 22/7 * 14 = 33 cm

Now, the arc of this sector will become the base circumference of the circular base of the cone

Thus;

2 * pi * R = 33

2 * 22/7 * R = 33

R = (7 * 33)/44 = 5.25 cm

b. The volume of the cone

Kindly note that the radius of the circle becomes the height of the cone

Mathematically;

V = 1/3 * pi * r^2 * h

Kindly note that the radius of the circle will become the slang height of the cone

We can use pythagoras’ theorem to find the height of the cone

Pythagoras theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

So here, slant height l is the hypotenuse, h and r are the other two sides

So 14^2 -5.25^2 = h^2

h^2 = 168.4375

h = 12.98 cm

Volume is thus ;

1/3 * pi * 5.25^2 * 12.98 = 374.6 cm^3

You need to give us answer choices.

However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.

The length of BE could possibly be 27 units.

- I hope this helps. Next time, please use the search feature :)))

Answer:

25 pounds of mix A

10 pounds of mix B

Step-by-step explanation:

Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:

[tex]0.5A+0.25B=15[/tex]

Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:

[tex]0.5A+0.75B=20[/tex]

Solving the linear system:

[tex]0.5A+0.25B=15\\0.5A+0.75B=20\\0.5B=5\\B=10\ pounds\\0.5A=15-0.25*10\\A=25\ pounds[/tex]

In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B

Answer:

Step-by-step explanation:

$0.50 per centimeters i think

Answer:

x = 3

Step-by-step explanation:

[tex](8x-8)^{3/2}=64[/tex]

Multiply both sides by the exponent 2/3.

[tex]8x - 8 = 64^{2/3}[/tex]

Solve for the exponent.

[tex]8x-8=16[/tex]

Add 8 to both sides.

[tex]8x = 16+8[/tex]

[tex]8x=24[/tex]

Divide 8 into both sides.

[tex]x=24/8[/tex]

[tex]x=3[/tex]

Answer:

the answer is A

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

= 14x + 10 is great than or equal to 9x + 15

= 14x is greater than or equal to 9x + 5

= 5x is greater than or equal to 5

= x is greater than or equal to 1

Answer:

D; Height, dollars and width

Step-by-step explanation:

By definition, the response variables are referred to as the y-variables.

They are known as the dependent variables or less generally as the outcome variables

From the plots here, the response variables which are the y-plots are Height, dollars and width

Answer:

D; Height, dollars and width

Step-by-step explanation:

Answer:

y < 3x + [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

6x > 2y - 5

Adding 5 to both sides

=> 6x + 5 > 2y

=> 2y < 6x+5

Dividing both sides by 2

=> y < [tex]\frac{6x+5}{2}[/tex]

=> y < [tex]\frac{6x}{2} + \frac{5}{2}[/tex]

=> y < 3x + [tex]\frac{5}{2}[/tex]

This is the required slope intercept form in the form [tex]y = mx+b[/tex]

Answer:

1) The student didn't add copper sulfate but instead he added calcium carbonate.

2) The heated solution should be left to get bigger crystals and should not be instantly allowed to evaporate.

3) He should use copper carbonate not calcium carbonate.

4) Sulfuric acid was added instead of hydrochloric acid.

5) Add solid excessively so that all of the acid is retained.

6) Filter the solution to remove unreacted solid.

7) Heat gently, so the crystals will start to appear.

The reactants in this reaction ought to have been copper carbonate and sulfuric acid.

The student is trying to carry out a reaction that would produce copper sulfate using two starting materials. The process is also expected to involve the evolution if a gas. However the process failed to produce the desired product. The following adjustments should be made to the process;

If these two adjustments are made, the equation of the reaction occurs as follows; CuCO3​(s) + H2​SO(​aq) → CuSO4​(aq) + CO2​(g) + H2​O(l).

Learn more: https://brainly.com/question/731147

Answer:

[tex] \sqrt{ {x}^{2} - 1 } [/tex]

Solution,

base=1

perpendicular=?

hypotenuse=X

now,

using Pythagoras theorem,

x^2=p^2+b^2

or, x^2=p^2+1^2

or,p^2=x^2-1

or, p=√x^2-1

tan theta=perpendicular/ base

tan theta =√x^2-1/1

tan theta=√x^2-1

z=tan theta

z=√x^2-1

Hope this helps...

Good luck on your assignment..

Answer:

[tex]\sqrt{x^{2}-1}}[/tex].

Step-by-step explanation:

The tangent of theta means that you are trying to find opposite over adjacent.

You already have the value of the adjacent (1), so all you need to do is find the opposite. That would be the square root of the hypotenuse squared minus the adjacent squared.

The opposite would be sqrt(x^2 - 1^2) = [tex]\sqrt{x^{2}-1}}[/tex].

When you put it together, tan(theta) = [tex]\frac {\sqrt{x^{2}-1} }{1}[/tex]

That is [tex]\sqrt{x^{2}-1}}[/tex].

So, z, in terms of x, is [tex]\sqrt{x^{2}-1}}[/tex].

Hope this helps!

Answer:

12 7/10

Step-by-step explanation:

13  - 12/40

Simplify the fraction

13 - 3/10

Borrow 1 from 13 in the form of 10/10

12 + 10/10 - 3/10

12 7/10

Answer:

a. 120 grams.

b. 270 ml.

Step-by-step explanation:

a. A fish pie for 6 will need to use 180 grams of flour. That means that a fish pie for 1 will use 180 / 6 = 30 grams of flour. Claire needs to make a fish pie for 4, so she will use 30 * 4 = 120 grams of flour.

b. A fish pie for 6 people requires 180 ml milk. That means that a fish pie for 1 will use 180 / 6 = 30 millilitres of milk. Ian needs to make a fish pie for 9, so he will use 30 * 9 = 270 ml of milk.

Hope this helps!

Answer:

17/6

Step-by-step explanation:

El único problema aquí es conocer las operaciones con el surd por favor note que;

√a * √a = a Así;

√3 * √3 = 3

Entonces, la otra cosa a tener en cuenta es el orden de las ecuaciones.

Resolvemos los corchetes antes de proceder con cualquier otra cosa.

1 / 3√3 * 5 / 4√3 = 5/12 (3) = 5/36

Es esto lo que agregamos a 7/4

5/36 + 7/4 = (5 + 63) / 36 = 68/36 = 17/6

Answer: 1/1x3+1/3x5 = 14/3 or 4  2/3

Step-by-step explanation:

And please, next time give the problem fully.

Answer:

65

Step-by-step explanation:

Angle M and angle L are supplementary angles, so they add up to 180°.

180 - 115

= 65

The measure of angle L is 65 degrees.