At an amusement park, anyone who is taller than 5 feet is allowed to ride the rollercoasters. Write an algebraic inequality using y to represent those who are taller than 5 feet and can ride the rollercoaster.

Answer: Geometric sequence

Step-by-step explanation:

The common ratio will be:

= 2nd term / 1st term

= 2/4

= 1/2

Also, Using thw 3rd and 2nd term gives:

= 1/2

Common difference will be:

= 2nd term - 1st term

= 2 - 4

= -2

Using thw 3rd and 2nd term gives:

= 1 - 2

= -1

From the above, we can see that it's a geometric progression as the common ratio is thesame.

Answer:

D)9x-3

Step-by-step explanation:

Perimeter = 2x + 4x - 2 + 3x - 1 ( add all the sides )

Bring the like terms together and simplify.

= 2x + 4x + 3x - 2 - 1

= 9x -3

Answer:

1/6

Step-by-step explanation:

Answer:

First, third and the last.

Step-by-step explanation:

y = 2^r + 1

The variable r is an exponent

Answer:

45

Step-by-step explanation:

Answer:

y+5/4 = x

Step-by-step explanation:

I think that this will get really messy if you integrate with respect to y.

Here is what I suggest you do.

=2+82−5y=2x+8x2−5

Evaluated at =1y=1 and =5y=5

1=2+82−5=21=2x+8x2−5x=2

5=2+82−5=1

5=2x+8x2−5x=1

∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx

9514 1404 393

Answer:

  (c) 5.4°

Step-by-step explanation:

We can simply determine the difference between the angles of the vectors:

  arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°

The angle between the vectors is about 5.4°.

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Alternate solutions

1) We could also determine the angle of their ratio.

  u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i

  angle = arctan(0.1/1.05) = 5.440°

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2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))

  tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))

  = (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2

  ∠u -∠v = arctan(2/21) = 5.440°

Answer:

z^6

Step-by-step explanation:

I'm assuming you're meant to multiply here.

z^3(z^3) = z^6

Add exponents when multiplying.

Let's solve your inequality step-by-step.

5m<6m+6

Step 1: Subtract 6m from both sides.

5m−6m<6m+6−6m

−m<6

Step 2: Divide both sides by -1.

−m / −1 < 6 / −1

m>−6

Answer:

m>−6

Answer:

111°

Step-by-step explanation:

angles around a point = 360

360-138=222

angles at the centre is double the circumference

222÷2

= 111

Answer:

8.06 units  = AD

(just write sq rt 65 = 8.062 ) then write or try sq rt of 65  to 3 sf = nearest tenth 8.06 tenth units rounded.

Step-by-step explanation:

AE = 7

ED = 4

We use Pythagoras Theorem as it is a right angle as AE^2 + ED^2 = AD^2

7^2 + 4^2 = AD^2

49 + 16 = 65 sq rt

sq rt  65 = AD^2 = 8.062^2

AD = 8.062 units

Answer:

Step-by-step explanation:

6d² - 21d = 0

d (6d - 21) = 0

6d - 21 = 0/d

6d - 21 = 0

6d = 21

d = 21÷6

d = 7÷2

Answer:

C) det(A) = (–6)(–2) – (–4)(–7)

Step-by-step explanation:

The determinant is ad-bc so when you plug in the numbers you get this answer. Also I got it right on Edge 2021 :)

Answer:

It must be proven to be a quadrilateral

Step-by-step explanation:

The question is straightforward, and it requires a direct answer.

A rhombus has four sides and as such it means it is a type of quadrilateral.

So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.

Answer: 15

Step-by-step explanation:

From the question, we can infer from the information given that:

5 eclaires boxes = 1 free eclaires box.

Therefore, to get the number of eclaires boxes that the kids will get if they bring 77 eclaires boxes, we have to divide 77 by 5 and this will be:

= 77 / 5

= 15.4

= 15

The group of kids will receive 15 free boxes

Answer:

62.2° (or 1.1 rad)

Step-by-step explanation:

Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.

Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.

∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°

Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.

α ≈ 90° - 27.82° = 62.18°

or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad

See above for properly rounded values.

Answer:

6.13 years

Step-by-step explanation:

The computation of the number of years is shown below:

As we know that

Amount = Principal ×e^{rate,time period}

($900 +  $500)  = $700 × e^{11.3%, time period}

$1,400 = $700 × e^{11.3%, time period}

ln(2) = 0.113× time period

0.693147181 ÷ 11.3 = time period

= 6.13 years

Answer:

35.6

Step-by-step explanation:

Answer:

55.5 km

Step-by-step explanation:

speed=distance/time

55.5= 333/6

Answer:

55.5 km per hour

Step-by-step explanation:

The simple formula is D_S-T

D is at the top for Distance

S is down to the left for speed

And T to the right as Time

Its simple so just take

Distance: 333km

Time: 6 hrs

333÷5=55.5/1

Answer:

Perimeter of the rectangle = 8 x +4

Length of the rectangle = 12 units.

Step-by-step explanation:

Let the width of the rectangle as 'x' units.

So, length of the rectangle is 2 more than 3 x.

We can set up expression for length as 3 x+2.

Now, perimeter is sum of all side lengths of the rectangle.

So, perimeter = x+x+3 x+2 +3 x+2

Combine like terms,

Perimeter = 8 x+4

Now, it is given perimeter is 36cm

So,

8 x+4=36

Subtract both sides 4

8 x=32

Divide both sides by 8

x=4

So, width of the rectangle =4

Length =3(4) +2=14

Answer:

Step-by-step explanation:

Required equations:

Substitute b into first equation:

Find b:

Answer:

??????? what ?????????

Answer:

60%

Step-by-step explanation:

There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket are orange show your work in the box and circle your answer

Total oranges in the basket = 20

Number of oranges = 12

what percentage of the pieces of fruit in the basket are orange

= Number of oranges / Total pieces of fruits × 100

= 12/20 × 100

= 0.6 × 100

= 60%

Percentage of the pieces of fruit in the basket that are oranges = 60%

Answer:

5

Step-by-step explanation:

Given the profit equation ;P(x)

x = number of units sold

P(x) = profit made

P(x) = 101

101 = 0.2x^2+20x-4

0.2x^2+20x-4 - 101

0.2x² + 20x - 105 = 0

Using the formula:

-b±[sqrt(b² - 4ac) / 2a]

Where ;

a = 0.2 ; b = 20, c = - 105

Using the quadratic equation solver to save time :

The roots are :

-105 and 5

Items sold cannot be negative ;

Hence, x = units sold = 5

Answer: 56.55 m^2

Step-by-step explanation:

The amount of money in the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.

First, let's find the number of pennies in the bank.

Since 10% of the coins are pennies, and there is 50 coins total, the number of pennies is :

10/100 × 50 = 5

Now let's find the number of dimes. Since 42% of the coins are dimes, and there is 50 coins total, the number of dimes is :

42/100 × 50 = 21

Since there are 4 more nickels than pennies, the number of nickels is :

5 + 4 = 9

Finally, the number of quarters is: 50 - 5 - 9 - 21 = 15

Thus, the bank contains 5 pennies, 9 nickels, 21 dimes, and 15 quarters.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

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Answer:

give me sec waitttttttt give me sec is their any answer choice

Answer:

Step-by-step explanation:

B)  it is increasing,  the slope  of  2/3  tells you it's going up  

Using concepts of linear functions, it is found that the correct option is given by:

B) It is increasing.

--------------------

The equation of a linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope, being the value that describes its behavior.

--------------------

In this question, the equation of the line is:

[tex]f(x) = \frac{2}{3}x - 2[/tex]

The slope is [tex]m = \frac{2}{3}[/tex], which is positive, thus the function is increasing, and the correct option is B.

A similar problem is given at https://brainly.com/question/10026522