Humphrey needs to mail a package. He weighs it at home as 20.2 ounces. When he gets to the post office, the clerk weighs it at 18.6 ounces. What is the percent error in the weight of the package, assuming that his home weight is the correct weight?

Answer:

3.25 and -2.651639344262295...

Step-by-step explanation:

if 0.5(r + 2.75) = 3, then r = 3.25

if 30.5(r + 2.75) = 3, then r = -2.651639344262295...

I would appreciate Brainliest, but no worries.

Answer:

3.25

Step-by-step explanation:

Answer:

18 mph

Step-by-step explanation:

12.6 × 5 =68.0. 68 - 50 = 18

Answer:

Area:12.5663706            Circumference: 12.5663706

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer: I don’t understand What is the value of 3 to the power of 2 + 4(2 + 4) × 6 ÷ 8 + 4 but I can solve 2 + 4(2 + 4) × 6 ÷ 8 + 4 for you. Look at the picture

Step-by-step explanation: Hope this help :D

Answer:

1 Simplify  4x\times 2y4x×2y  to  8xy8xy.

8xy-2y\times 2x-5xy

8xy−2y×2x−5xy

2 Simplify  2y\times 2x2y×2x  to  4yx4yx.

8xy-4yx-5xy

8xy−4yx−5xy

3 Simplify.

-xy

−xy

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

2-1/2 ==> 1/2

3-1/3 ==> 2/3

4-1/4 ==> 3/4

1/2 x 2/3 x 3/4 = 6/24

*Reduce 6/24*

1/4

Step-by-step explanation:

B.shoes=$120

%D=10%

%D=10%×120÷100=$12

Answer:

Volume of cylinder = 12,560 feet³

Step-by-step explanation:

Given:

Height of cylinder = 40 ft

Radius of cylinder = 10 ft

Find:

Can its volume be 10 ft ?

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(10)²(40)

Volume of cylinder = (3.14)(10)²(40)

Volume of cylinder = (3.14)(100)(40)

Volume of cylinder = 12,560 feet³

Volume of this cylinder never be 10 feet

Answer:

1/3

Step-by-step explanation:

Step-by-step explanation:

all the fractions should have the same bottom or denominator

so I multiplied the bottom numbers together which is 140

at the top I multiplied 3 x35, 2x28 and 20x1

added them together and got

181/140

Answer:

5y^5

Step-by-step explanation:

there is no real solution. really i just simplified. if you wanted a real answer y would have to be giving. if not then this is all the question is asking. for you to simplify

Answer:

540

Step-by-step explanation:

area of trapezium is b×h

Answer:

540 Sq m

Step-by-step explanation:

Area of parallelogram EFGH

= base * height

= 30 * 18

= 540 Sq m

Question:

A particle moves along the x-axis so that its position at time t>0 is given by [tex]x(t)=\frac{t^2 -9}{3t^2 +8}[/tex]

Show that the velocity of the particle at time t is given by [tex]v(t) = \frac{70t}{(3t^2 + 8)^2}[/tex]

Answer:

[tex]v(t) = \frac{70t}{(3t^2 + 8)^2}[/tex]

Step-by-step explanation:

Given

[tex]x(t)=\frac{t^2 -9}{3t^2 +8}[/tex]

Required

Show that:

[tex]v(t) = \frac{70t}{(3t^2 +8)^2}[/tex]

To calculate v(t), we use:

[tex]v(t) = x'(t)[/tex]

So, we have:

[tex]x(t)=\frac{t^2 -9}{3t^2 +8}[/tex]

Apply quotient rule

[tex]x'(t) = \frac{vu' - uv'}{v^2}[/tex]

Where

[tex]u =t^2 - 9[/tex]

[tex]v=3t^2 + 8[/tex]

So:

[tex]u =t^2 - 9[/tex]

[tex]u' = 2t[/tex]

[tex]v=3t^2 + 8[/tex]

[tex]v' = 6t[/tex]

So, we have:

[tex]x'(t) = \frac{vu' - uv'}{v^2}[/tex]

[tex]x'(t) = \frac{(3t^2 + 8) * 2t - (t^2 - 9) * 6t}{(3t^2 + 8)^2}[/tex]

Expand the numerator

[tex]x'(t) = \frac{6t^3 + 16t - 6t^3 + 54t}{(3t^2 + 8)^2}[/tex]

Collect like terms

[tex]x'(t) = \frac{6t^3 - 6t^3+ 16t + 54t}{(3t^2 + 8)^2}[/tex]

[tex]x'(t) = \frac{70t}{(3t^2 + 8)^2}[/tex]

Recall that:

[tex]v(t) = x'(t)[/tex]

[tex]v(t) = \frac{70t}{(3t^2 + 8)^2}[/tex]

Proved

Answer:

-3 = D

Step-by-step explanation:

A really smart freind of mine says this is the answer.

Answer:

35 mph

Step-by-step explanation:

As you might have learned in your physics class, the average speed of a car in mph is 50. You should write this down on some paper.

After writing it down, we need to look at what the problem is asking us, so we don't get confused. " How fast was he going on the way to the bookstore?"

This means that we need to calculate his mph speed on the way to the bookstore by subtracting something.

50 mph=Average

Alternate Route= -15

After you have written THAT down in your notes, you need to ask yourself,

"What is 50-15?"

Calculating 50-15 will make the "15 mph slower" show up and calculating that with the average will get you your answer.

50-15 is 35

Answer:

45 degrees

Step-by-step explanation:

Here, we want to get the value of the acute angle

From the question, we have it that the sin of the acute angle equals its cosine

Recall;

cos A = sin (90-A)

Hence, if A is 45, then Cos A and Sine A will be the same

This means the value of theta which is the acute angle is 45 degrees

Answer:

Step-by-step explanation:

let Jordan age be X & Anna age be Y

so,

Jordan is 12 years older than Anna.

x = y + 12 ......... (1)

The sum of their ages is 50.

x + y = 50 ........ (2)

putting value of x from (1) into (2)

x + y = 50

(y + 12) + y = 50

2y + 12 = 50

2y = 50 - 12

2y = 38

y = 38÷2

y = 19

putting value of y in (2)

x + y = 50

x + 19 = 50

x = 50 - 19

x = 31

so,

Jordan age = 31 years

Anna age = 19 years

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

[tex]PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ[/tex]

Likewise:

[tex]\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ[/tex]

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

[tex]m\angle PAC=m\angle PAB+m\angle BAC[/tex]

Likewise:

[tex]m\angle QAB=m\angle QAC+m\angle BAC[/tex]

Since ∠QAC ≅ ∠PAB:

[tex]m\angle PAC=m\angle QAC+m\angle BAC[/tex]

And by substitution:

[tex]m\angle PAC=m\angle QAB[/tex]

Thus:

[tex]\angle PAC\cong \angle QAB[/tex]

Then by SAS Congruence:

[tex]\Delta PAC\cong \Delta BAQ[/tex]

And by CPCTC:

[tex]PC\cong BQ[/tex]

Answer:

Step-by-step explanation:

To prove PC = BQ, we need to prove triangle APC and ABQ are congruent.

AP = AB as they are part of equilateral triangle APB

AC = AQ as they are part of equilateral triangle AQC

Angle PAC = Angle PAB + Angle BAC = 60 + Angle BAC

Angle BAQ = Angle QAC + Angle BAC = 60 + Angle BAC = Angle PAC

By SAS, triangle APC and ABQ are congruent and therefore

PC = BQ

Answer:

x = -20/11

Step-by-step explanation:

and how -(11 x)/4 - 5 = 0

1/4 (7 x - 12) = 1/2 (9 x + 4)

hope this helps

Answer:

X = 11/20

Step-by-step explanation:

7/4x-3=2+9/2x

We move all terms to the left:

7/4x-3-(2+9/2x)=0

Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R

Domain of the equation: 2x)!=0

x!=0/1

x!=0

x∈R

We add all the numbers together, and all the variables

7/4x-(9/2x+2)-3=0

We get rid of parentheses

7/4x-9/2x-2-3=0

We calculate fractions

14x/8x^2+(-36x)/8x^2-2-3=0

We add all the numbers together, and all the variables

14x/8x^2+(-36x)/8x^2-5=0

We multiply all the terms by the denominator

14x+(-36x)-5*8x^2=0

Wy multiply elements

-40x^2+14x+(-36x)=0

We get rid of parentheses

-40x^2+14x-36x=0

We add all the numbers together, and all the variables

-40x^2-22x=0

a = -40; b = -22; c = 0;

Δ = b2-4ac

Δ = -222-4·(-40)·0

Δ = 484

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ−−√=484−−−√=22

x1=−b−Δ√2a=−(−22)−222∗−40=0−80=0

x2=−b+Δ√2a=−(−22)+222∗−40=44−80=−11/20

Answer:

where's the question?

Step-by-step explanation:

is it a question?

Answer:

whats the question?

Step-by-step explanation:

Answer:

Solution given:

7x-29=2x+16[length from the circumference of circle is equal to same point]

7x-2x=16+29

5x=45

x=45/5=9

now.

XY=2×9+16=18+16=34 is your answer

The measure of tangent XY is 34.

If two tangents are drawn to a circle from an external point, then they are equal in length.

This property is often used in geometry problems to find the length of a tangent segment or to solve for an unknown variable.

We have,

The two tangents in a circle are equal.

So,

2x + 16 = 7x - 29

Solve for x.

2x + 16 = 7x - 29

7x - 2x = 16 + 29

5x = 45

x = 9

Now,

XY

= 2x + 16

= 2 x 9 + 16

= 18 + 16

= 34

Thus,

The measure of XY is 34.

Learn more about tangent on a circle here:

https://brainly.com/question/23265136

#SPJ2

Answer:

C. 32%

Step-by-step explanation:

To find the denominator here, we have to count up how many dots/students there are total. Then our numerator is how many students are in the zero column.

That gives us 8/25 = 0.32. Multiply by 100 for the percentage = 32%

Answer:

check receipt, know the return policy, read the fine print.

Step-by-step explanation:

The responsibilities of a consumer includes check receipt, know the return policy, read the fine print.

Every consumer have basic responsibility they need to adhere to when making a purchase. This is done to protect their right via consumer laws and these responsibilities includes

When a consumer makes a purchase, s/he is required to check the receipt in order to avoid over billing or charges from done intentionally or not. Knowing the return policy and reading the fine print would guide you in the use of the product.

Learn more on responsibility of a consumer here;

https://brainly.com/question/380037

Answer:

C

Step-by-step explanation:

because d + Q = 19 is just counting the coins, not the monetary value

and .25q + .10d signs values per coin type.

Answer:

$20.30  plus tax

Step-by-step explanation:

You multiply 28 x .30 and that is your discount.

Answer:

$20.30

Step-by-step explanation: