50 PTS
A cyclist travels at distance of 400 meters in 120 seconds towards school, calculate his speed. (Show your work) Calculate his velocity if the direction is North East (NE)


The cyclist in practice question 2, comes to a stop position within 15 seconds. Calculate his acceleration. (Show your work) Is this an example of positive or negative acceleration?

Answer:

f(1) = -2

Step-by-step explanation:

Each point is (x, f(x)).

The point (1, f(1)) is given as (1, -2), so f(1) = -2.

Answer:

f(1) = -2

Step-by-step explanation:

The value of s from the given equation is -1.5.

The given equation is 0.5s+1=7+4.5s.

We solve the given equation for s.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

Now, the given equation can be solved as follows:

0.5s+1=7+4.5s

⇒0.5s-4.5s=7-1

⇒-4s=6

⇒s=-6/4

⇒s=-1.5

Therefore, the value of s is -1.5.

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Well to find how much 12 biscuits cost, you must first find how much each biscuit costs. Therefore, you divide 80p by 2, and get 40p. Then multiply 40p by 12 (the total amount of biscuit). You get the answer, which is 480p.

The 2 angles on the left need to equal 180:

3y +5 + 85 = 180

Combine like terms:

3y+90 = 180

Subtract 90 from each side:

3y = 90

Divide both sides by 3:

y = 90 /3

y = 30

Now solve the equation with y:

3(30) +5 = 90+5 = 95

Now the two equations also need to equal 180:

95  + 2x +1 = 180

Combine like terms:

2x + 96 = 180

Subtract 96 from each side:

2x = 84

Divide both sides by 2:

x = 84 /2

x = 42

X = 42, y = 30

The answer is the 3rd choice.

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = [tex]2\pi rL[/tex]

Area of the parts that cover the open parts of cylinder = [tex]2\pi r^2[/tex]

Therefor Total are of the cylinder = [tex]2\pi rL+2\pi r^2[/tex]

Area of the total cylinder = [tex]2*3.14*6.8*14.2+2*3.14*6.8^2[/tex]

                                          =[tex]896.784[/tex]

Therefor best estimate will be D) 923 in^2

Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

[tex](AC)^2+(CB)^2=(AB)^2[/tex]

The distance from A to C = 6

The distance from C to B = 5

[tex](AC)^2=6^2=36[/tex]

[tex](CB)^2=5^2=25[/tex]

[tex](AC)^2+(CB)^2=(AB)^2=36+25=61[/tex]

Therefor [tex](AB)^2=61\\(AB)=\sqrt{61}[/tex]

Therefor Answer is D) Sqr 61

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 =[tex]\frac{1}{2} *(110+40)*110=8250[/tex]

Area of the Store 2=[tex]\frac{1}{2} *110*80=4400[/tex]

Therefore Revenue from Store 1 = $8250

                 Revenue from Store 2 = $4400

Answer is A) Store 1  has more sales revenue

Answer for Question 4

[tex]\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545[/tex]

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

[tex]\frac{11}{23} =0.4782[/tex], therefor this is not in between those two numbers.

Then it has to be [tex]\frac{115}{264} =0.4356[/tex]

Answer is B)

Answer for question 6

The equation of a straight line is of the form [tex]y=mx+c[/tex]

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

[tex]\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2[/tex]

Therefor the equation of the graph is,

[tex]y=2x+1[/tex]

Answer is C

Answer for question 7

[tex]\frac{7}{8} =0.875[/tex]

[tex]\frac{6}{9} =0.67[/tex]

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

[tex]\frac{53}{72} =0.73[/tex], This falls between the above 2 numbers.

Therefor answer is C

Answer:

D. Yermin

Step-by-step explanation:

\sqrt(0.50) = 0.70710678

When rounded go to 0.7

Answer:It’s D

That’s the answer because I did this test before and got it right

So the corcumference is equal to the diameter tiems pi.

Youre given the diameter, so just multiply it by pi.

The answer is 43pi.

The circumference of a circle with a diameter of 43 cm can be calculated using the formula C = πd. Substituting 43 for d, the exact circumference in terms of pi is 43π cm.

The circumference of a circle is determined by the formula C = πd, where C is the circumference, d is the diameter of the circle, and π (Pi) is a mathematical constant whose approximate value is 3.14. If we plug the given diameter of 43 cm into the formula, we get C = π * 43. Thus, the exact circumference in terms of pi is 43π cm.

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Answer:

3/47 is rational because it is a ratio of two integers.

Answer:

It would be 2%

Step-by-step explanation:

Hope this helps! :D

The simple annual interest rate for this loan will be 2%.

Simple interest is extra money paid by the person borrowing the money. The formula for the simple interest is;

[tex]\rm SI = \frac{P \times R \times T}{100}[/tex]

Given data;

P(Principal) =$1500

R(Rate)=?

T)TIme)=5year

SI(Simple interest)=$ 150

The simple interest is calculated as ;

[tex]\rm SI = \frac{P \times R \times T}{100} \\\\ 150 = \frac{1500 \times R \times 5 }{100} \\\\ R=2 \%[/tex]

Hence, the simple annual interest rate for this loan will be 2%.

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Answer:

-8

Step-by-step explanation:

5 times -3 is -15

absolute value of -12 plus 4 is 8

-15 plus 8 plus -1 is -8

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-------> the set of numbers that represent the solution of the situation

we know that

The expression " At least [tex]-6[/tex] " represent the inequality

[tex]x\geq -6[/tex] -----> all real numbers greater than or equal to  [tex]-6[/tex]

The expression " At most [tex]3[/tex] " represent the inequality

[tex]x\leq 3[/tex] -----> all real numbers less than or equal to  [tex]3[/tex]

The solution of the situation is equal to the interval-------> [tex][-6,3][/tex]

see the attached figure

2x+2y=6

5x+2y =4

Multiply eq 1 by 5 and equation 2 by -2

10x+10y = 30

-10x - 4y = -8

Now adding we get

6y = 22

Divide by 2

3Y =11

[tex]15,\ 1,\ 4,\ 4,\ 8,\ 7,\ 15,\ 4,\ 15,\ 4,\ 5\to\underbrace{1,\ 4,\ 4,\ 4,\ 4,\ 5,\ 7,\ 8,\ 15,\ 15,\ 15}_{11}\\\\mean=\dfrac{1+4+4+4+4+5+7+8+15+15+15}{11}=\dfrac{82}{11}\approx7.5\\\\median:1,\ 4,\ 4,\ 4,\ 4,\ \boxed{5},\ 7,\ 8,\ 15,\ 15,\ 15\\\\mode:1,\ \underbrace{4,\ 4,\ 4,\ 4}_{4},\ 5,\ 7,\ 8,\ 15,\ 15,\ 15[/tex]

Answer:

Mean = 7.5, median = 5, mode = 4

Step-by-step explanation:

12 inches is equivalent to 1 foot. So 12 times 4 = 48. So, the answer is b because then u know that its a little more than 48.

Hope this helped! Comment if u have questions. :)

Answer:

Original price of the ticket was $57.

Step-by-step explanation:

Four friends buy tickets for two shows.

Let the price of a ticket was $c

Then cost of 4 tickets = $4c

They use a coupon to get the discount = $5 on each ticket

So total discount on 4 tickets = 4×5 = $20

Cost of the tickets after discount = 4c - 20

Cost of the tickets for two consecutive nights = 2(4c - 20)

If they paid total amount = $416 for 8 tickets

Then the equation will be 2(4c - 20) = 416

Now we can solve this equation to get the original price of the ticket.

2(4c - 20) = 416

4c - 20 = 208

4c = 208 + 20

4c = 228

c = [tex]\frac{228}{4}[/tex]

c = $57

Therefore, original price of a ticket was $57.

Answer:

57

Step-by-step explanation:

I did this earlier.

Answer:

840 visitors

Step-by-step explanation:

Answer: 15 cm

Step-by-step explanation:

Given : The total height of all three of Thumbelina’s sisters is 60 cm.

The heights of the three sisters are in the ratio 4:3:5 .

Let the heights of the three sisters are 4x , 3x and 5x.

According to the question , we have the following equation :-

[tex]4x+3x+5x=60\\\\\Rightarrow\ 12x=60\\\\\Rightarrow\ x=\dfrac{60}{12}=5[/tex]

Now, the height of the shortest sister will be :-

[tex]3x=3(5)=15\ cm[/tex]

Hence, the height of the shortest sister = 15 cm

Solution :

Given a right triangle with hypotenuse 85 and legs 84 and y.

Use Pythagoras theorem, to find the length of the leg y of the right triangle.

According to Pythagoras theorem,

[tex](hypotenuse)^{2} = leg_{1}^{2}+leg_{2}^{2}[/tex]

As given in the question,

[tex]hypotenuse = 85 \\\\leg_{1} = 84\\\\leg_{2} = y[/tex]

Put these values,

[tex]\Rightarrow 85^{2}=84^{2} +y^{2} \\\\\Rightarrow y^{2}=85^{2}-84^{2}\\\\\Rightarrow y =\sqrt{85^{2}-84^{2}} \\\\\Rightarrow y =\sqrt{169}\\\\\Rightarrow y =13[/tex]

Hence, the length of leg y =13.

Answer:

The length of leg y=13

Step-by-step explanation:

Answer: Consider a quadrilateral ABCD such that AC ans BD are the two diagonals of ABCD.

With reference to figure 1 .

In triangle ABC and triangle ADC  ,by using triangle inequality we have

AB +BC > AC .......(1)

and AD + CD >AC......(2)

adding (1) and (2) we have

AB+ BC+CD+AD>2AC....(3)

Similarly we get for diagonal BD

AB+BC+CD+AD>2BD....(4)

Adding (3) and (4) we get

2(AB+BC+CD+AD)> 2(AC+BD)

⇒(AB+BC+CD+AD)> AC+BD where (AB+BC+CD+AD) = perimeter of quadrilateral.

Hence, the sum of the length of the diagonals of a quadrilateral is less than the perimeter.

Now 2 diagonal divides quadrilateral into 4 quadrilaterals  

Therefore AO+OD>AD

OD+OC>CD

OC+OB>BC

And OA+OB>AB

Adding all these conclude that

2(AC+BD)>AB+BC+CD+AD

⇒AC+BD>1/2(AB+BC+CD+AD)  where (AB+BC+CD+AD) = perimeter of quadrilateral.

Hence,the sum of the length of the diagonals is greater than the half of the perimeter of this quadrilateral.

Now consider a triangle ABC  as given in figure (2)

As we now,the sum of two sides of a triangle is greater than twice the median bisecting the third side.

Therefore AB+BC>2BE

Similarly,

AB+AC>2AD

BC+AC>2CF

By adding all these we get ,

2(AB+BC+CA)>2(AD+CF)

⇒AB+BC+CA>AD+CF

Hence, the sum of the lengths of the three medians in a triangle is smaller than the perimeter of the triangle.

Hello, I can help.

The value of N- 7

Here is how i got the answer.

1: Multiply both sides by 2

2: Simplify 64*2 to 128

3: convert both sides; 2^n =2^7

4:divide 2 on both sides; n=7

Hope this helps.

[tex]x^2-10x+8=0\\\\x^2-10x+25-17=0\\\\(x-5)^2=17\\\\x-5=\sqrt{17} \vee x-5=-\sqrt{17}\\\\x=5+\sqrt{17} \vee x=5-\sqrt{17}[/tex]

Answer:

(x – 5)2 = 17

Step-by-step explanation:

edg

You moved the decimal place, but didn't account for that in your exponent. It  should no longer be 10.

The answer is 1.035*10¹¹

Answer:

The answer is 4

Step-by-step explanation:

The answer is 4 because if you divide them both by 4 they come out even and they cant be divider by anything less. Therefore the common denominator is 4.

Answer:

12

Step-by-step explanation:

if you said 4 its not answer

Answer:

See two different cases, below:

Step-by-step explanation:

You cannot "solve" w-w*2+-2w*2, because this is not an equation.  Rather, you want to simplify w-w*2+-2w*2 by combining like terms.  You have w  -  2w   -  4w, or -5 w.

If, however, you meant "exponentiation" by " * "  then you have   w^1 - w^2 - 2w^2, which in turn equals w - 3w^2, or, in descending order by powers of w, -3w^2 + W.

the answer is 16.7 because you need to  do 60/360

The answer is 16.67%

Explanation:

Number of customers who visited in the first week = 360

Number of customers who visited in the second week = 300

Number of customers decreased in the second week =

[tex]360-300=60[/tex]

So, the percentage change of the number of customers that visited the store in the first week to the number of customers that visited the store in the second week will be = [tex]\frac{60}{360}*100 =16.67[/tex]