Round each amount to the nearest hundred to find an estimate of:

9635 – 4891
A. 4400
B. 4500
C. 4600
D. 4700

Answer:

Enter a problem...

Precalculus Examples

Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0

16

x

2

+

16

y

2

−

16

x

+

24

y

−

3

=

0

Add

3

to both sides of the equation.

16

x

2

+

16

y

2

−

16

x

+

24

y

=

3

Divide both sides of the equation by

16

.

x

2

+

y

2

−

x

+

3

y

2

=

3

16

Complete the square for

x

2

−

x

.

Tap for more steps...

(

x

−

1

2

)

2

−

1

4

Substitute

(

x

−

1

2

)

2

−

1

4

for

x

2

−

x

in the equation

x

2

+

y

2

−

x

+

3

y

2

=

3

16

.

(

x

−

1

2

)

2

−

1

4

+

y

2

+

3

y

2

=

3

16

Move

−

1

4

to the right side of the equation by adding

1

4

to both sides.

(

x

−

1

2

)

2

+

y

2

+

3

y

2

=

3

16

+

1

4

Complete the square for

y

2

+

3

y

2

.

Tap for more steps...

(

y

+

3

4

)

2

−

9

16

Substitute

(

y

+

3

4

)

2

−

9

16

for

y

2

+

3

y

2

in the equation

x

2

+

y

2

−

x

+

3

y

2

=

3

16

.

(

x

−

1

2

)

2

+

(

y

+

3

4

)

2

−

9

16

=

3

16

+

1

4

Move

−

9

16

to the right side of the equation by adding

9

16

to both sides.

(

x

−

1

2

)

2

+

(

y

+

3

4

)

2

=

3

16

+

1

4

+

9

16

Simplify

3

16

+

1

4

+

9

16

.

Tap for more steps...

(

x

−

1

2

)

2

+

(

y

+

3

4

)

2

=

1

This is the form of a circle. Use this form to determine the center and radius of the circle.

(

x

−

h

)

2

+

(

y

−

k

)

2

=

r

2

Match the values in this circle to those of the standard form. The variable

r

represents the radius of the circle,

h

represents the x-offset from the origin, and

k

represents the y-offset from origin.

r

=

1

h

=

1

2

k

=

−

3

4

The center of the circle is found at

(

h

,

k

)

.

Center:

(

1

2

,

−

3

4

)

These values represent the important values for graphing and analyzing a circle.

Center:

(

1

2

,

−

3

4

)

Radius:

1

image of graph

Answer:

4.242641

Step-by-step explanation:

d=[tex]\sqrt{(1-(-2))^{2}+(-2-1)^{2} }[/tex]

d=[tex]\sqrt{(3)^{2} + (-3)^{2} }[/tex]

d=[tex]\sqrt{9+9}[/tex]

d=[tex]\sqrt{18}[/tex]

d=4.242641

(does it deserve a Brainliest)

x = 0 ⇒ (0⁵ + 32) = (0 + 2)⁵ ⇒ 32 = 32

x = -2 ⇒ [(-2)⁵ + 32] = (-2+2)⁵ ⇒ 0 = 0

So: (x⁵ + 32) = (x - 2)⁵ if x = -2 or x = 0

Ok done. Thank to me :>

Answer:

mC=mA - base angles of an isosceles triangle

mA=68

Answer:

  y = 2/3x + 3/2

Step-by-step explanation:

18 inches is 3/2 feet. 8 inches is 2/3 feet.

The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.

  y = 2/3x + 3/2

The pre-sale price of the wedding gown is £224.

A reduction decreases the price of an item. As a result of the reduction, the wedding gown would be sold cheaper. The wedding gown would cost  pay 75%(100 - 25%) of the pre-sale price.

This equation can be used to determine the pre-sale price of the wedding gown:  discounted price / 75%

£168  / 0.75 = $224

To learn more about how to determine the price of an item, please check: brainly.com/question/25717996

Answer:

x = -2

Step-by-step explanation:

Answer:

2x-3 = 67

2x = 67+3

2x = 70

x = 35

Answer:

x= 35

Step-by-step explanation:

Answer: y = 1x + -4

Equation of a straight line:

y = mx + b ------(i)

Step by Step Solution:

Step 1: Calculating Slope (m).

m = y2-y1 /x2-x1

m = 3--1 /7-3

m = 4/4

m = 1

Now putting value of m in equation (i)

y = 1x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (3,-1) for calculating y-intercept:

y = mx + b

-1 = 1(3) + b

-1 = 3 + b

-4 = b

b = -4

Now putting value of b in equation (ii)

y = 1x + -4

Answer:

Step-by-step explanation:

Angles 1 and 2 have common side, so they are adjacent. They are not making a right or straight angle.

Correct choice is D

Answer:

82%

Step-by-step explanation:

They are doing 0.6x with the first sale, then 70% of 0.6x for the second. So, the first sale would be 0.6x, and the second sale would be 0.42x. You subtract them to get 0.18x. So, 0.18x/x=18%. You would pay 18%, and the shop reduced 82%

Answer:

0.5

Step-by-step explanation:

If you add 0.5 to -0.5, it will equal 0.

Answer:

Step-by-step explanation:

The total amount Rita spent is ...

  (18.54x +23) +(25) = 18.54x +48 . . . total spent

__

When x=2, that is approximately ...

  (18.5)(2) + 48 = 37 +48 = (40 -3) +(50 -2) = (40 +50) -(3 +2) = 90 -5 = 85

Rita spent about $85 if she bought 2 items.

_____

Additional comment

Estimation is often done using 1 significant figure. In this case, that would mean rounding the equation to 20x+50, so it would give a value of 90 when x=2.

An additional task when estimating is to estimate the error in the estimate. Here, using 20x+50 has an error of approximately 1.5x+2 (too high), so the error for 2 items will be about (1.5(2)+2) = 5. That is, the estimate of 90 is approximately 5 too high. Even this estimate has a remaining small error of 0.04x (too low).

Answer:

7,308,630

Step-by-step explanation:

Calculated it.

Answer:

P = 342 ft

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Equality Properties

Terms/Coefficients

Quadratics

Geometry

Area of a Rectangle Formula: A = lw

Perimeter of a Rectangle Formula: P = 2w + 2l

Step-by-step explanation:

Step 1: Define

Identify variables.

A = 5670 ft²

"Length that is 9 feet less than 3 times its width" → l = 3w - 9

Step 2: Find w

Since length/width cannot be negative, we know that w = 45 ft.

Step 3: Find l

Step 4: Find Perimeter

∴ The perimeter of Janice's fence is 342 ft.

Let width be x ft

Length be 3x-9ft

Now

On solving we wI'll get x=-42,45

Take it positive

Now

Perimeter

Answer: original price= $8

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 8 × 20/100

Discount = 8 x 0.2

You save = $1.60

Final Price = Original Price - Discount

Final Price = 8 - 1.6

Final Price = $6.40

Answer: A.

Step-by-step explanation:

This is the only option in which the terms are ordered from least to greatest.

Therefore, A is the correct answer.

Answer:

15

Step-by-step explanation:3/4*20=15

The linear function must be represented in the form y = mx + b,  where y and x are variables.

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept

From the table, the linear function must be represented in the form y = mx + b,  where y and x are variables.

Find out more on linear function at: https://brainly.com/question/4025726

Answer:

10

Step-by-step explanation:

because

60:6=10

every team has the same number of players

(it was an easy proble to solve thats why im typing , so i the app can confirm it as an answer)

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Answer:

10

Step-by-step explanation:

no. of teams=6

no. of players=60

no. of players in each team=60/6=10

Answer:

[tex] < rsq + < qrs + sqr = 180 \\ 50 + 37 + < sqr = 180 \\ < sqr = 180 - (50 + 37) \\ < sqr = 180 - 87 \\ = 93[/tex]

I hope it helps you

Answer:

what is the question in this picture

Answer:

is it 1?

Step-by-step explanation:

Answer:

50 is the answer

Step-by-step explanation:

you need to add 45+5 the you will get 50

Answer:

15 : 1

Step-by-step explanation:

5 : 1/3

Multiply both numbers in the ratio by 3.

5 × 3 : 1/3 × 3

15 : 1

[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]

ok done. Thank to me :>

Answer:

1/3 part of 120 hours....

Answer:

7,15,20

Step-by-step explanation:

Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.

7 , 15 and 20

7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle

7 + 15 = 22

22 > 20 is true so this might be the answer but lets check the other answer choices just in case.

( we do this same process to the other answer choices )

11 , 22 and 35

11 + 22 must be greater than 35 in order for these to be side lengths of a triangle

11 + 22 = 33

33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle

7, 16 and 23

7 + 16 must be greater than 23

7 + 16 = 23

23 > 23 , this is not true so this can't be the answer.

5 + 17 must be greater than 22

5 + 17 = 22

22 > 22 this is not true so this can't be the answer.

The answer is 7,15,20

The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]

Therefore;

[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]

b = The cycle speed

The period, T, is given as follows;

[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]

The period of a block, T = 12 hours

Therefore;

[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]

[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]

[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]

At t = 0, H = The highest point = 10 ft.

Which gives;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]

[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]

The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5

Learn more about the cosine function here:

https://brainly.com/question/4458343

https://brainly.com/question/24368105