Determine the equation of the quadratic function shown below.

Interest calculator for a $600 investment. How much will my investment of 600 dollars be worth in the future? Just a small amount saved every day, week, or month can add up to a large amount over time. In this calculator, the interest is compounded annually.

Answer:

5

Step-by-step explanation:

A 30-60-90 triangle's sides equal as follows:

Hypotanuse= x (a number)

Long side= x/2( also can be calculated as x* 1/2) * [tex]\sqrt{3}[/tex]

Short side = x/2 or x * 1/2

Answer:

Due to the higher z-score, Zach did better relative to his class.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whoever had the higher z-score did better:

Zach:

Scored 67, mean of 54 and standard deviation of 7, so [tex]X = 67, \mu = 54, \sigma = 7[/tex].

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{67 - 54}{7}[/tex]

[tex]Z = 1.86[/tex]

Adam:

Scored 88, mean 97, standard deviation of 6, so [tex]X = 88, \mu = 97, \sigma = 6[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{88 - 97}{6}[/tex]

[tex]Z = -1.5[/tex]

Who did better relative to their class?

Due to the higher z-score, Zach did better relative to his class.

Answer:

(-2-h)^2+(-7-k)^2=r^2

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 this is the normal equation now u just need to substitue those in it

9514 1404 393

Answer:

  both of them: x = -4, x = -735

Step-by-step explanation:

The meaning of "real root" is that the graph intersects the x-axis at that value of x. If the degree of the root is odd, the graph crosses there. (If the degree of the root is even, the graph only touches the x-axis.)

  f(x) = (x +4)(x +735)

has real roots at x = -4 and x = -735, so crosses the x-axis in those places.

Step-by-step explanation:

A = Pi x r^2

r=4_____________

Answer:

50.26548

50.27 Rounded to the hundredths place .

Answer:

s = 1.81

Step-by-step explanation:

4.4(1.81)+6.2=8.8(1.81)-1.8

plug in and multiply if you'd like to clarify :)

Answer:

=Steps

4.4s+6.2=8.8s−1.8

Multiply both sides by 10

4.4s· 10+6.2· 10=8.8s· 10−1.8· 10

Refine

44s+62=88s−18

Subtract 62 from both sides

44s+62−62=88s−18−62

Simplify

44s=88s−80

Subtract 88s from both sides

44s−88s=88s−80−88s

Simplify

−44s=−80

Divide both sides by −44

−44s

−44 =

−80

−44

Show Steps

Simplify

s=

20/11

Step-by-step explanation:

Answer:

11/6

Step-by-step explanation:

See the steps below:)

Answer:

9/16 <fraction    0.5625 <decimal   56.25%

Step-by-step explanation:

Answer:

a) Lateral area of the solid = 2011.43 [tex]cm^{2}[/tex]

b) Surface area of the solid = 2544 [tex]cm^{2}[/tex]

Step-by-step explanation:

a) Lateral area of the figure = 2[tex]\pi[/tex]rh

where; r is the radius of the cylinder, and h is its height.

Lateral area of the figure = 2 x [tex]\frac{22}{7}[/tex] x 10 x 32

                                          = 2011.43 [tex]cm^{2}[/tex]

b) The surface area = 2[tex]\pi[/tex]r(r + h) - 2([tex]\frac{1}{2}[/tex] x b x h)

                                 = 2[tex]\pi[/tex]r(r + h) - (b x h)

The height of the isosceles triangle can be determined by applying the Pythagoras theorem to have,

[tex]10^{2}[/tex] = [tex]6^{2}[/tex] + [tex]h^{2}[/tex]

100 = 36 + [tex]h^{2}[/tex]

[tex]h^{2}[/tex] = 100 - 36

   = 64

h = [tex]\sqrt{64}[/tex]

  = 8

h = 8 cm

The surface area of the solid = 2 x [tex]\frac{22}{7}[/tex] x 10 (10 + 32) - 12 x 8

                                                = 2640 - 96

                                                = 2544

The surface area of the solid is 2544 [tex]cm^{2}[/tex].

Answer:

5. 4186.67 in³

6. 1436.03 ft³

7. 3052.08 cm³

Step-by-step explanation:

5. Determination of the volume of the sphere.

Radius (r) = 10 in

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 10³

V = 4/3 × 3.14 × 1000

V = 4186.67 in³

6. Determination of the volume of the sphere.

Radius (r) = 7 ft

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 7³

V = 4/3 × 3.14 × 343

V = 1436.03 ft³

7. Determination of the volume of the sphere.

We'll begin by calculating the radius. This can be obtained as follow:

Diameter (d) = 18 cm

Radius (r) =?

r = d/2

r = 18/2

r = 9 cm

Finally, we shall determine the volume of the sphere. This can be obtained as follow:

Radius (r) = 9 cm

Pi (π) = 3.14

Volume (V) =?

V = 4/3πr³

V = 4/3 × 3.14 × 9³

V = 4/3 × 3.14 × 729

V = 3052.08 cm³

Answer:

n + 8 = 9

therefore 9-8 = 1

Answer:

2/19

Step-by-step explanation:

i just took the test and no one helped me i got is wrong but when you go back to review it it tells you the answer hope im not too late

it will cost abut $1.26! the exact answer being 1.2618, you can find this by multiplying 7.01 and 0.18, you round it up to something that can be an actual price! hope this helps! <3

Answer: I would say that it is 7

Step-by-step explanation:

30 : 24

b : 4       (divide both sides by 6)

5 : 4

Equivalent to 5 would be 7

Sorry if its wrong

Answer:

3pi or 9.42

Step-by-step explanation:

3/4x3.14x2x2=3pi or 9.42

The diameter can be thought of as the width of the circle, more or less. More accurately, it's the distance from one point on a circle, through the center, to a point on the opposite side.

If we had a circle at point A, and some point on the edge of the circle point B, then line AB will form a third point C. Point C is on line AB and on the circle. Segment BC is a diameter.

We can measure the diameter with a straight line ruler, but we cannot do the same with the perimeter of the circle. The circumference is just a fancy name for "perimeter". Specifically, it only applies to circles. The way I remember it is that "circle" has "circ" in it, and so does "circumference". Furthermore, we can erase some letters of "circumference" to end up with "fence", which would go along an outer perimeter in a lot of cases. Overall, "circumference" makes me think of "circle fence".

How can we find the perimeter of a circle? Well we could use a cloth ruler to wrap around the edge of the circle. We'd have to make sure that none of the bendable ruler is out of place. So things could get tricky.

To find the circumference with a formula, we'll use this one here

C = pi*d

where pi = 3.14 approximately and d is the diameter

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

For example, let's say the diameter is d = 10 feet. That would lead to a circle perimeter of....

C = pi*d

C = 3.14*10

C = 31.4

The circumference is approximate because pi = 3.14 is approximate. The units for the circumference in this case are in feet, so the distance around this particular circle is about 31.4 feet.

Answer:

B. 1/5

Step-by-step explanation:

Miguel AND his 4 friends are sharing a bag of hot chips

theres a total of 5

so each person gets 1/5 of the bag

Answer:

E

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

5 x 1/10 = 0.5

0.5 = 1/2

Answer:

                    1 / 2

Step-by-step explanation:

Answer:

I don't know this stuff yet but I'll keep looking

Answer:

a) x(x+1)

b) 3x(1-3)

c) 7x(1-5)

d) 4x²(x+6)

Step-by-step explanation:

When factorising, the most important thing to do is find what the terms have in common. Divide each term by what they have in common, then multiply it by the entire expression so the value doesn't change. Also, you can always check your answer by multiplying it out to see if you get what you started with.

a)

x² + x, both terms have 'x' in common:

x( (x²/x) + (x/x) ) = x(x+1)

b)

3x - 9x, both terms have '3x' in common:

3x( (3x/3x) - (9x/3x) ) = 3x(1-3)

c)

7x - 35x, both terms have '7x' in common:

7x( (7x/7x) - (35x/7x) ) = 7x(1-5)

d)

4x³+ 24x², both terms have 4x² in common:

4x²( (4x³/4x²) + (24x²/4x²) ) = 4x²(x+6)

Answer:

area of rectangle = l×b

or,40=8×b

or,40=8b

or,40/8=b

or,b=5cm is ans

Step-by-step explanation:

2x - 5 = y - 5

2x = y

x = y/2

y - 3 = x + 1

Substitute the value of x here,

y - 3 = [tex]\rm{\dfrac{y}{2} + 1}[/tex]

y - 3 = [tex]\rm{\dfrac{y + 2}{2}}[/tex]

2y - 6 = y + 2

y = 8

Now, x = 8/2

x = 4

So, go for D part, it is the correct answer.

Good Night/Day !

Answer:

x = 4, y = 8

Step-by-step explanation:

For the triangles to be congruent by the HL theorem

Then the hypotenuse and legs must be congruent , that is

x + 1 = y - 3 → (1)

2x - 5 = y - 5 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + (- 5) - 1 = y - y + (- 5) - (- 3) , that is

x - 6 = - 2 ( add 6 to both sides )

x = 4

Substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

4 + 1 = y - 3

5 = y - 3 ( add 3 to both sides )

8 = y

Answer:

Yup, 11 is the answer. because 4 -15 is 11.

Answer:

20 mens

Step-by-step explanation:

12 men can plant paddy in 10 hours

1 man can plant the paddy in (10 × 12) hours

10 × 12 / 6 = 20

Answer:

Sorry about the last time this time I could find the images!

First problem: 120

Second problem: I believe its 140 but I dont know for sure so answer that at your own risk please

Third problem: same for this one I think it's 40

Fourth problem: 2160

Answer:

THATS OUR TOPIC ALL YOU NEED IS

hope it helps