2.5 tons = how many pounds

Answer:

Center: (4, -6)

Radius: 2

Step-by-step explanation:

Circle Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r = radius

Step 1: Write out equation

(x - 4)² + (y + 6)³ = 4

Step 2: Identify variables

h = 4

k = -6

r² = 4

Step 3: Find answers

Center = (4, -6)

√r² = √4

r = 2

Answer:

20%

Step-by-step explanation:

Turn 2 out of 10 into a percentage.

[tex]\frac{2}{10}[/tex] × [tex]\frac{10}{10}[/tex] = [tex]\frac{20}{100}[/tex] → 20%

Answer:

y = 2x+1

Step-by-step explanation:

[tex]2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1[/tex]

Step-by-step explanation:

Hey, there!!

Here, the given point is (1,3).

Now, Using one point formula we need to find the equation of the line passing through point (1,3).

Now,

[tex](y - y1) = m1(x - x1)[/tex]

Keeping values,

[tex](y - 3) = m1(x - 1)[/tex]

It is the 1st equation.

Similary, you have another equation,

2y = 4x + 8..............2nd equation.

or, 4x - 2y +8 =0

M2 from equation 2,

[tex] = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]

[tex] = \frac{ - 4}{ - 2} [/tex]

Therefore, m2 = 2

Now,

As per the condition of parallel lines,

m1 = m2 = 2

Now, substituting the value of m1 in equation 1st.

(y-3) = 2 (x-1)

y-3 = 2x - 2

or, 2x-y+1 = 0 ......is the required equation.

Hope it helps...

Answer:

16yyyy

Step-by-step explanation:

Getting rid of exponents:

Step-by-step explanation:

(-2y)^4

= (-2) ^4 ( y) ^4

= (16) (yyyy)

= 16yyyy

Answer:

What do you want for the answer?

This?

500-50n

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.

2 x + 1 = x − 1

Solve for  

x .

x = − 2

Exclude the solutions that do not make  

log ( 2x + 1 ) = log

( x − 1 )  true.

No solution

Answer:

c

Step-by-step explanation:

Answer:

A.25

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

The formula for interquartile range = Third Quartile - 1st Quartile

= Q3 - Q1

Looking at the histogram given, the class width = 6

Step 1

We find the number of values = n

n = 1 + 12 + 26 + 27 + 31 + 19 + 6 + 1

= 123

Frequency Cumulative Frequency

1 1

12 13

26 39

27 66

31 97

19 116

6 122

1 123

Step 2

We find Q1 ( First Quartile)

Q1 =1/4 (n + 1) value

Q1 = 1/4(124) value

= 31st value

The first Quartile = 31st value

31 - 13 = 18

31st value = 12 + (18/26 × class width)

= 12 +( 18/26 × 6)

First Quartile = 16.153846154

Third Quartile =Q3 =3/4 (n + 1) value

Q1 = 3/4(124) value

= 93rd value

The first Quartile = 93rd value

93 - 66 = 27

93rd value = 1 + (27/97 × class width)

=24 +( 27/97 × 6)

Third Quartile= 25.670103093

Interquartile range = Q3 - Q1

= 25.670103093 - 16.153846154

= 9.5162569392

Approximately = 9.5

Inter Quartile range = 9.5

Answer:

35,012,129 > 35,011,129

Answer:

>

Step-by-step explanation:

everything is the same but the 12 and 11

Answer:

1.5 cups of sugar

Step-by-step explanation:

4/2=2

2 dozens of cookie uses 1 cup of sugar.

3/2=1.5

3dozens  of cookie needs 1.5 cup of sugar.

Answer: a

Step-by-step explanation:

Answer:

y = [tex]\frac{4}{3}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{4}{3}[/tex] x - 5 ← is in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 6, - 5) into the partial equation

- 5 = - 8 + c ⇒ c = - 5 + 8 = 3

y = [tex]\frac{4}{3}[/tex] x + 3 ← equation of parallel line

Answer:

Step-by-step explanation:

[tex]\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}\\\\\mathrm{Apply\:exponent\:rule}:\\\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{\left(-5\right)^5}{\left(-5\right)^{-6}}=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5-\left(-6\right)}\\\\=\left(-5\right)^{5+6}\\\\=\left(-5\right)^{11}\\\\=-5^{11}[/tex]

Answer:

a3= -343

divade both side by 3 to make a the subject

a3/3= -343/3

a = -114.3

Step-by-step explanation:

Given that,

The hypotenuse of a right triangle is 15 cm

Let x is the length of the other leg. So, the length of the first leg is 2x.

Using Pythagoras theorem for the right angle triangle such that,

hypotenuse² = base²+height²

Let base is x and height is 2x

So,

[tex]15^2=x^2+(2x)^2\\\\225=x^2+4x^2\\\\225=5x^2\\\\x^2=45\\\\x=3\sqrt{5} \ cm[/tex]

Hence,

Base = [tex]3\sqrt{5} \ cm[/tex]

Height = [tex]2\times 3\sqrt{5} \ cm=6\sqrt5\ cm[/tex]

Hyoptenuse = 15 cm (given)

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, But I would show how to solve the problem

The area of a sector of a circle with radius r and a subtended central angle  θ in degree has an area of:

Area = [tex]\frac{\theta}{360}*\pi r^2[/tex]

Where θ is in degrees.

If the central angle is in radian, then the area of the sector is given as:

[tex]Area=\frac{\theta}{2\pi}*\pi r^2\\ Area=\frac{\theta}{2}* r^2[/tex]

Let us assume A circle has a radius of 2.5 mm a sector of the circle has a central angle of 4 pi/3 radians.

Therefore the radius (r) = 2.5 mm and the central angle (θ) = 4π/3

Therefore:

[tex]Area=\frac{\theta}{2}*r^2\\ \\Area=\frac{\frac{4\pi}{3} }{2} *2.5^2=13.1\ mm^2\\[/tex]

Answer:-23/5

Step-by-step explanation:

-3/5-8/2

-3/5-4

-3+20/5

-23/5

Answer:

-23/5

Step-by-step explanation:

-3/5 + - 8/2

Find the least common multiple of 5 and 2.

That would be 10.

That means we have to multiply the first fraction by 2/2 and the second one by 5/5

-3/5*2/2

Multiply the numerators together and the denominators together.

-6/10

Repeat with the second fraction.

-8/2*5/5

-40/10

Our new expression is

-6/10+-40/10

-46/10

Simplify

-23/5

As a mixed number that would be:

-4 3/5

Answer:

if the number is 5 or higher, you round up.

if the number is 4 or lower, you round down.

96.57 → 96.6

96.53 → 96.5

Steps to solve:

-k - (3k - 6n) + 2n; k = -3, n = -5

~Substitute and simplify

-(-3) - (3(-3) - 6(-5)) + 2(-5)

3 - (-9 + 30)) - 10

~Use PEMDAS and solve the rest.

3 - 21 - 10

-18 - 10

-28

Best of Luck!

Answer:

the answer is -22

Step-by-step explanation:

-k -(3k - 6n) + 2n  

when k = -3  &  n = -5

substitute the values of k and n

-(-3) -[3(-5) - 6(-5)] + 2(-5)

3 - [-15 - (-30)] + (-10 )

3 - ( -15 + 30 ) - 10

3 - 15 - 10

-12 - 10

-22

hope this helps  （＾▽＾）

Answer:

B

Step-by-step explanation:

4×4×3=48

4 comes out.

a - never comes out of radical and stays in the radical with 3.

the simplest way I could explain

Answer: OPTION 3

Step-by-step explanation:

First of all, you need to know the concept of imaginary number or i.

i (imaginary number)=√-1

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

√-48=√16 × √3 × √-1 ⇔ This splitting is just help you to understand better.

√16=4 ⇔ This is a perfect square

√3=√3 ⇔ Nothing to change

√-1=i ⇔ imaginary number as mentioned before.

√-48=√16 × √3 × √-1

√-48=4 × √3 × i

√-48=4i√3

Answer:

You need a protractor to measure each angle otherwise you can't really assume each angle because it won't be accurate

The probability that two brown sit together is 0.2.

What is the meaning of arrangements?

the act of putting things in order

Here, it is given that ;

there are Two brown and 8 red birds.

Total number of ways 10 distinct birds can sit = 10!

Now,

When out of total arrangement the number of ways in which two brown birds and 8 red birds can sit is :

¹⁰C₂ = 10!/ (2! x 8!)

¹⁰C₂ = 45 ways

Now, consider two brown birds as one bird then the number of arrangement will be :

⁹C₁ = 9!/1! = 9

The probability that two brown sit together will be :

9/45 = 0.2

Therefore, the probability that two brown sit together is 0.2.

Read more about probability at:

https://brainly.com/question/8217340

#SPJ2

Answer:

m1 - 120

m2 - 60

m3 - 60

m4 - 60

m5 - 30

A triangle is 180 degrees. An equilateral triange's angles are all the same.

In the data set below, what is the variance?

6 7 2 1 8 29

s^ 2  ≈  105.368

Answer:

the answer to the promblem is 521,000

Answer:

522,000

Step-by-step  

If the number is 5 you let it go up if its below you let it go down.

Answer:

Option (3)

Step-by-step explanation:

If a complex number is in the form of (a + ib), real part of the complex number is 'a' and imaginary part is 'b'.

Given complex number is (-3 + 2i )

Comparing this number with (a + ib), real part of the number will be (-3) and imaginary part of the number will be 2.

Option (3) will be the answer.

Answer:

The answer is 10/3.

Step-by-step explanation:

Think of position. After one hour just as the fast truck starts, the slow truck is at a position 50 miles. Let's see where they aree at time t hours after the fast truck begins his trip: Slow Truck: 50 miles + (50 miles/hour)×t Fast Truck: (65 miles per hour)×t .

What is t when their positions are the same?

50 + 50t = 65t

50 = 65t - 50t

50 = 15t

50/15 = t

10/3 = t

t = 10/3.

the answer is 35 people

b

r

a

i

N

L

Y

B

Y

P

A

S

S

1, 4 and 7 angles are congruent to 56°

hope this helps ^-^

Answer:

y= 4x -15

Step-by-step explanation:

Please see attached picture for full solution.