What is the center of the circle with the equation (x+4)^2 + (y - 2)^2 = 16? a (-4, -2) b (4,2) c (-4, 2) d (4, -2)

Answer:

[tex] s = 5.8 [/tex]

Step-by-step Explanation:

Given:

∆RST,

m < T = 17°

t = RS = 5

m < S = 20°

s = RT = ?

Apply the Law of Sines to find s

[tex] \frac{s}{sin(S)} = \frac{t}{sin(T)} [/tex]

[tex] \frac{s}{sin(20)} = \frac{5}{sin(17)} [/tex]

Multiply both sides by sin(20) to make s the subject of formula.

[tex] \frac{s}{sin(20)}*sin(20) = \frac{5}{sin(17)}*sin(20) [/tex]

[tex] s = \frac{5*sin(20)}{sin(17)} [/tex]

[tex] s = 5.8 [/tex] (to nearest tenth)

Answer:

Step-by-step explanation:

Multiply $9500 by .05 (5%) to get 475. That is 5% of $9500. Now subtract 475 from 9500 to get 9025. That is your answer!  

The value of car in month of January is, [tex]\$ 9975[/tex]

It is given that, At the end of any year a car is worth 5% less than what it was worth at the beginning of the year.

Since, car was worth $9 500 in December 2016.

Then, the value of car in month of January is, 105 % of value of car in moth of December.

So that, value of car in month of January is,

                                     [tex]=9500*\frac{105}{100}\\ \\=9500*1.05=9975[/tex]

The value of car in month of January is, [tex]\$ 9975[/tex]

Learn more about percentage here:

https://brainly.com/question/24304697

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  [tex]h=-8t^2+40t[/tex]  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

[tex]\frac{dh}{dt} =0[/tex]

Now the differentiating the equation with respect to time t, we get

[tex]\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)[/tex]

[tex]\frac{dh}{dt}=-16t+40[/tex]

For maximum height,  [tex]\frac{dh}{dt} =0[/tex]

So, [tex]-16t+40=0[/tex]

 [tex]\Rightarrow 16t=40[/tex]

[tex]\Rightarrow t=\frac{40}{16}[/tex]

[tex]\Rightarrrow t = 2.5[/tex]

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

Answer:

On a coordinate plane, a parabola opens down

has a vertex at (negative 0.5, 6.75)

The vertex is the maximum value. The axis of symmetry is x = negative one-half.

The domain is all real numbers

Step-by-step explanation:

Answer:

The vertex is the maximum value.

The axis of symmetry is x = negative one-half.

The domain is all real numbers.  

Step-by-step explanation:

The answer above is correct.

Answer: the answer would be 24

Step-by-step explanation: just did the assignment

Answer:

24

Step-by-step explanation:

Just got it right on edge 2020

Answer:175

Step-by-step explanation:

1. Turn 28% into a decima: 0.28

2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350

3. Half the amount of ninth grade students:175

Answer:

The answer is 175

Step-by-step explanation:

Because I read the problem carefully and identified that the explanation is way too long so I am gonna make this short and easy for you. I am correct, just Trust me :)

Answer:

3,896 have signed up from other countries

Step-by-step explanation:

In this problem we are required to calculate the number of signups from other countries.

well, since we know the total sign ups to be 3,922

And also we know that 26 out of the total signed up from the USA

This means that the sign ups from other countries will be

3,922-26=3,896

Answer:

60 cents or $0.60

Step-by-step explanation:

9.00/15 = 0.6

Answer:

$.60

Step-by-step explanation:

This is just 9 divided by 15 which is $.60

Answer:

The height of the cylinder is 4 x units.

The area of the cylinder’s base is One-fourthπx2 square units

Step-by-step explanation:

Formula for volume of the cylinder:

V = r² π h

Volume of the cylinder=

πx^3

Diameter=x

Radius (r)=diameter/2

=x/2

V = r² π h

πx^3=(x/2)^2πh

πx^3=(x^2/4)πh

Divide both sides by π

x^3=(x^2/4)h

Make h the subject of the formula

h=x^3÷x^2/4

=x^3×4 / x^2

=4x^3 / x^2

=4*x*x*x / x*x

h=4x

Area of the base:

B = r² π

Recall, r=x/2

B=(x/2)^2 * π

=(x^2/4)π

=πx^2/4

=1/4(πx^2)

The area of the cylinder’s base is One-fourthπx2 square units.

Answer:

B & E

Step-by-step explanation:

Edge 2020

Answer:

The center is ( 1,-3) and the radius is 3

Step-by-step explanation:

The equation of a circle can be written in the form

( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius

(x-1)^2 + (y+3)^2= 9

(x-1)^2 + (- -3)^2= 3^2

The center is ( 1,-3) and the radius is 3

Answer:

The correct option is;

(0, -3), (-1, 0) and (3, 0)

Step-by-step explanation:

From the given graph of the function we have the following observations;

There are two x-intercepts which are;

1) To the left of the vertical y-axis having coordinates (-1, 0)

2) To the the right of the y-axis having coordinates (3, 0)

There is only one y-intercept  having coordinates, (0, -3)

Therefore, all the intercepts of the function are, (0, -3), (-1, 0) and (3, 0).

Answer:

(0, -3), (-1, 0) and (3, 0)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If y=x, than the only way

y=rx can be possible is if r=1

Hope this helps!

Have a good day! :)

Answer:

1

Step-by-step explanation:

y = rx

Use any set of x and y-coordinates in the equation and solve for r.

For example, use (5.8, 5.8).

5.8 = r(5.8)

Divide both sides by 5.8:

r = 1

Answer: r = 1

Answer: A

Step-by-step explanation

2.167x10^4 = 21,670

                   = 9,978

1.1x10^6      = 1100,000

                   = 56,344,000

2.468x10^5 =  246,800

Answer: A. 9,978

Based on the power, move the decimal point that many spaces to the right. (E.g., If it's 4.2 × 10^3, then move the decimal three spaces to the right, and you'd get 4200.)

2.167 × 10^4 = 21670

1.1 × 10^6 = 1100000

2.468 × 10^5 = 246800

Out of all the numbers mentioned in the question, 9,978 is the only one that's less than 2.167 × 10^4 = 21670.

Answer:

25

Step-by-step explanation:

let his age be x, then

5 years ago his age was x - 5 and in 5 years will be x + 5 , thus

(x - 5)(x + 5) = 600 ← expand factors using FOIL

x² - 25 = 600 ( add 25 to both sides )

x² = 625 ( take the square root of both sides )

x = [tex]\sqrt{625}[/tex] = 25

Answer:

[tex]\boxed{Age \ of \ man = 25 \ years}[/tex]

Step-by-step explanation:

Let the age be x

Then, the given condition is:

(x-5)(x+5) = 600     [ x-5 for age 5 years ago and x+5 for age 5 years after ]

Using Formula [tex](a+b)(a-b) = a^2-b^2[/tex]

[tex]x^2-25 = 600[/tex]

Adding 25 to both sides

[tex]x^2 = 600+25[/tex]

[tex]x^2 = 625[/tex]

Taking sqrt on both sides

[tex]x = 25[/tex] years

Answer: B

Step-by-step explanation:

Answer:

2/21.

Step-by-step explanation:

[tex]\frac{2}{7}[/tex] ÷ 3 = (2 / 7) * (1 / 3) = (2 * 1) / (7 * 3) = 2 / 21 = 0.0952380952.

Hope this helps!

Write 3 as 3/1

Now you have 2/7 / 3/1.

When you divide by a fraction change the divide to multiply and flip the second fraction over

Now you have 2/7 x 1/3 now multiply top by top and bottom by bottom to get

2/21

Answer:

x = 1/3 and x = 1.

Step-by-step explanation:

3x^2 - 4x + 1 = 0

(3x - 1)(x - 1) = 0

The solutions are when either 3x - 1 = 0 or x - 1 = 0.

3x - 1 = 0

3x = 1

x = 1/3

x - 1 = 0

x = 1

So, x = 1/3 and x = 1.

Hope this helps!

Answer:

9.16

Step-by-step explanation:

We know that

Total expense = price of sugar * consumption

let price of sugar was 100

So total expense = 100*10=1000

But now new expense =1100 (I,e.10% more than 1000)

and new price =120(i,e. 20% more than 100)

So new consumption = new expense/ new price=

1100/120

=110/12

=9.16

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

Answer:

16 2/3 %   or approx. 16.67%

Step-by-step explanation:

Original price = 100%

New price = 100+20% = 120%

To reduce back to 100%

we need to reduce 20% from 120 % = 20/120 = 1/6 = 16 2/3 % = 16.7% approx.

Answer:

3x+7=10x+17

Step-by-step explanation:

1.9

10x

27x

Answers:

Equation is  3x+7 + 10x+17 = 180 (there are infinitely many other ways to write the equation)

x = 12

Angles are 43 and 137

==========================================================

Explanation:

The horizontal lines are parallel, so the same side interior angles marked are supplementary. The angles add to 180

(3x+7) + (10x+17) = 180 is the equation, or one variation of such

13x+24 = 180

13x = 180-24

13x = 156

x = 156/13

x = 12 is the value of x

Use this x value to find the measure of each angle

3x+7 = 3*12+7 = 43

10x+17 = 10*12+17 = 137

The two angles are 43 and 137 degrees

Note how 43 and 137 add to 180.

Answer:

[tex]\huge\boxed{\sqrt[4]{16a^{-12}}=2a^{-3}=\dfrac{2}{a^3}}[/tex]

Step-by-step explanation:

[tex]16=2^4\\\\a^{-12}=a^{(-3)(4)}=\left(a^{-3}\right)^4\qquad\text{used}\ (a^n)^m=a^{nm}\\\\\sqrt[4]{16a^{-12}}=\bigg(16a^{-12}\bigg)^\frac{1}{4}\qquad\text{used}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\=\bigg(2^4(a^{-3})^4\bigg)^\frac{1}{4}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\bigg(2^4\bigg)^\frac{1}{4}\bigg[(a^{-3})^4\bigg]^\frac{1}{4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=2^{(4)(\frac{1}{4})}(a^{-3})^{(4)(\frac{1}{4})}=2^1(a^{-3})^1=2a^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}[/tex]

[tex]=2\left(\dfrac{1}{a^3}\right)=\dfrac{2}{a^3}[/tex]

Answer:

Dimensions of square shaped pit = 6m [tex]\times[/tex] 6m

Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m

Step-by-step explanation:

Given:

Two pits in the school playground area (one square shaped and one rectangular shaped).

Each pit must have an area = 36 [tex]m^2[/tex]

To find:

Dimensions of each pit = ?

Solution:

First of all, let us have a look at the formula for area of a square and a rectangle:

[tex]Area_{square} = (Side)^2[/tex]

[tex]Area_{Rectangle} = Length\times Width[/tex]

Now, let us try to find out dimensions of square:

[tex]36 = Side^2\\\Rightarrow Side = 6\ m[/tex]

So, dimensions of Square will be 6m [tex]\times[/tex] 6m.

Now, let us try to find out dimensions of rectangle.

[tex]36 = Length\times Width[/tex]

We are not given any restrictions on the Length and Width of the rectangle.

So, let us explore all the possibilities by factorizing 36:

[tex]36 = 1 \times 36\\36 = 2 \times 18\\36 = 3 \times 12\\36 = 4 \times 9[/tex]

6 [tex]\times[/tex] 6 factors not considered because then it will become a square and which is not the required case.

Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m

Answer:

Jackson's distance from the finish line after x minutes will be given as;

since from the statements we know that x represents the number of minutes he had run, for us to be able to calculate his  distance from the finish line we simply solve the problem mathematically as follows;

x=80-8y

Step-by-step explanation:

from the initial representation we have x+8y=80,

from the preliminary statement we know x to be the number of minutes from the start of the race to the current point Jackson.

so we assume that y in the equation represents the number of distance covered by the x minutes in miles.

that is how we end up with ;

x=80-8y.

Answer:

area=17.5

Step-by-step explanation:

area=1/2(base*height)

area=1/2(3*7)

are=17.5

Answer: [tex]45+65x\leq250[/tex] .

Step-by-step explanation:

Given: Cost to operate the forklift  per day = $45

Cost for each crew member per day = $65

Let x be the number of crew members.

Then, we have

Total cost = (Cost to operate the forklift  per day)+(Cost for each crew member per day)×(number of crew members)

= 45+65x

Since, the contractor can spend at most $250.

Then, the required inequality: [tex]45+65x\leq250[/tex] .

Answer:

$186.89

Step-by-step explanation:

Let's start by finding the area of the floor.

Area of a trapezium can be found with the formula:

A=(a+b)/2*h

Let's plug our values in.

A=(10+16)/2*7.6

Simplify.

A=26/2*7.6

A=13*7.6

A=98.8

The area of the floor is 98.8 square meters.

Find how many litres of paint are needed.

98.8/1.9=52

He needs 52 liters of paint.

52/5=10.4

He needs 11 5 liter cans of paint.

Each one costs %16.99.

16.99*11=186.89

It would cost $186.89 to buy all the paint he needs.

Answer:

slope of the line containing the given points (6,-1) AND (5,-7) is 6

point- slope form of the equation is

(y+1)= 6(x-6)  ( because, i'm choosing the point (6,-1)

Step-by-step explanation:

slope = (-7 + 1) / (5 - 6 ) = -6/-1 = 6

(y-y1) = m ( x - x1)

(y+1 ) = 6 ( x-6)

Answer: 4

Step-by-step explanation:

Answer:

4 buckets

Step-by-step explanation:

number of buckets needed = 96 / 30

= 3.2

Since 3.2 is not a whole number (buckets cannot be split into small portions), and each bucket can only hold 30 golf balls, 4 buckets are needed to hold all golf balls.

Or else, if there is only 3 buckets, only 30x3 = 90 balls can be held, meaning there are 6 left.

Answer:

140 degrees.

Step-by-step explanation:

As MQ  = NR and MNOP is a trapezoid MNRQ is an isosceles trapezoid.

So m<MNR = m < NMQ.

Answer: It is option 2 or B

Step-by-step explanation: Simple and easy, the test said it was right too.

Answer:

A

Step-by-step explanation:

[tex] \frac{ {6}^{3}. {2}^{6} }{ {2}^{3 } } = \frac{ {2}^{3}. {3}^{3}. {2}^{6} } { {2}^{3} } = {2}^{6} . {3}^{3} [/tex]