Henry says that his set of numbers include all integers liana argues that he is wrong.
( -15, -5, -1/2, 0,2,16 )

which is the best way to explain why liana is correct?

Unfortunately, doing this kind of problem by hand would take a very long time. So I recommend using a graphing calculator. Specifically, one that can handle numeric integration. You'll need to find the area under the curve from t = 0 to t = 3. This will tell you the change in velocity during the time period from t = 0 to t = 3 seconds. You should find that

[tex]\displaystyle \int_{0}^{3}\frac{t+3}{\sqrt{t^3+1}}dt \approx 6.71005[/tex]

If you want to do this by hand, you can use Riemann rectangles to break up the area and find the area of each rectangle. Though use of a calculator is recommended here as well.

This result will add onto the initial velocity of 5 to get a final approximate result of 5+6.71005 = 11.71005 which rounds to 11.710

Answer:

i. 33.51 cm³

ii. 14.14 cm³

iii. 231.61 g

Step-by-step explanation:

(i) the total volume of the paper weight,

Since the paper weight is in the form of a cone, its volume is the volume of a cone V = πD²h/12 where D = diameter of cone = 4 cm and h = height of cone = 8 cm

So, V = πD²h/12

V = π(4 cm)² × 8 cm/12

V = 16π cm² × 8 cm/12

V = 128π cm³/12

V = 402.124 cm³/12

V = 33.51 cm³

(ii) the volume of the wooden portion,

The volume of the wooden portion, V' = πr'²h'/3 where r' = radius of wooden portion and h' = height of wooden portion

From similar triangles in the figure, we have

height of wooden portion, h'/radius of wooden portion, r' = height of paper weight, h/radius of paper weight, r

h'/r' = h/r where r = D/2 where D =diameter of paper weight = 4 cm. So, r = 4 cm/2 = 2 cm

and h' = height of paper weight - height of lead portion = 8 cm - 2 cm = 6 cm

So,

r' = rh'/h = 2 cm × 6 cm/8 cm = 12 cm²/8 cm = 1.5 cm

So, V' = πr'²h'/3

V' = π(1.5 cm)² × 6 cm/3

V' = π2.25 cm² × 2 cm

V' = 4.5π cm³

V' = 14.14 cm³

(iii) the total mass of the paper weight.

The total mass of paper weight, m = mass of wooden portion + mass of lead portion = ρ'V' + ρ"V" where ρ' = density of wood = 0.9 g/cm³, V' = volume of wooden portion = , ρ" = density of lead = 11.3 g/cm³ and V" = volume of lead portion = V - V' = 33.51 cm³ - 14.14 cm³ = 19.37 cm³

So, m = 0.9 g/cm³ × 14.14 cm³ + 11.3 g/cm³ × 19.37 cm³

m = 12.726 g + 218.881 g

m = 231.607

m ≅ 231.61 g

Answer: Choice C.

Explanation: ASA stands for "angle side angle". To use ASA, we must have two pairs of congruent angles, as well as a pair of congruent sides. The sides must be between the angles in question

Answer:

(3.387 ; 4.013)

Step-by-step explanation:

Confidence interval :

Xbar ± standard Error

Standard Error = Zcritical * s/√n

n = 50 ; s = 1.13 ; xbar = 3.70

Zcritical at 95% = 1.96

Standard Error = 1.96 * 1.13/√50

Standard Error = 0.3132200

Lower boundary : (3.70 - 0.313) = 3.387

Upper boundary : (3.70 + 0.313) = 4.013

(3.387 ; 4.013)

Answer:

-7

Step-by-step explanation:

Sum means addition:

18 + 0 + (-4) + (-12) + 6 + (-15) = -7

You can also combine like terms to get:

24 + (-31) = -7

Answer:

b) -7

Step-by-step explanation:

hope this helps you :)

Answer:

It will take 20 minutes to pump out 1000 unit milk tank

Step-by-step explanation:

The pump on the milk tank pumps milk out at a rate of 50 units per minute,

1 minute = 50 units

x minutes = 1000 units

Using the  unitary method x= = 1000*1/50=  20 minutes

It will take 20 minutes to pump out 1000 unit milk tank

B

Step-by-step explanation:

[tex]x - 12 = - 4[/tex]

[tex] put \: like \: terms \: together\\ x = - 4 + 12 \\ solve\\ x = 8[/tex]

Answer:

1/4

Step-by-step explanation:

Answer:

A)  4/5

B)  2/25

C)  2/45

Step-by-step explanation:

A) P(not blue) = 8/10 or 4/5

B) P(red,blue) = 4/10 x 2/10 = 2/25

C) P(yellow,red) = 1/10 x 4/9 = 2/45

Answer:

D.(3, 3)

Step-by-step explanation:

The equation of a straight line is given as:

y = mx + c;

where x, y are variables, m is the slope of the line, c is the y intercept.

From the graph, we can see that line 1 passes through (6,0) and (0,6).

The equation of line 1 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{6-0}{0-6} (x-6)\\\\y=-x + 6\ \ \ (1)[/tex]

Line 2 passes through (6, 5) and (0, 1)

The equation of line 2 is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-5=\frac{1-5}{0-6} (x-6)\\\\y=\frac{2}{3}x + 1\ \ \ (2)[/tex]

To get the coordinates of the intersection of the two lines, we solve equation 1 and 2 simultaneously using a calculator. This gives:

x = 3, y = 3

Therefore the two lines meet at (3, 3)

Answer: You should use the mean of the data set to find the average distance he hit the baseball.

Step-by-step explanation:

Answer: Raul should use the mean absolute deviation to find how much the distance that the ball travels during each hit varies, on average, from the mean distance.

Step-by-step explanation:

Answer:

x=25

Step-by-step explanation:

4x+50=150

»4x=159-50

»100÷4

»x=25

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

ᕼOᑭᗴ IT ᕼᗴᒪᑭՏ

ᕼᗩᐯᗴ ᗩ ᘜᖇᗴᗩT ᗪᗩY!!

Answer:

80

Step-by-step explanation:

The range is found by subtracting the smallest value from the largest value. That means that to find the range of these numbers, you would subtract 5 from 85, or 85 - 5.

Hope that this helps!

let the original price be x

100-27=73

The table is being sold at 73% of its orignal price

73/100*x=438

=$600

Answer:

Step-by-step explanation:

Answer:

the life long of early humans wasnomadic . why?

Answer:

Add the equations to eliminate x

Step-by-step explanation:

Answer:

1: $11

2: $43.19

3: $128.57

Step-by-step explanation:

10 • 1.10 = 11

39.99 • 1.08 = 43.19

43.19 • 3 = 128.57

Answer:

LIMIT

The policy will pay for up to

$100,000 of damage to

another person's property.

The policy will pay only

$100 per incident for a

tow truck

DEDUCTIBLE

The policyholder must pay

the first $1,000 of repair

expenses before insurance

will pay for anything,

PREMIUM

The policy offers coverage

for a cost of $178 per month

The policyholder must

pay $500 semiannually

to the insurance provider

Step-by-step explanation:

LIMIT is the maximum amount an insurer will pay toward a covered claim

DEDUCTIBLE is the amount paid out of pocket toward a covered claim

PREMIUM is the amount paid regularly to keep the policy in force.

9514 1404 393

Answer:

  (a)  $1430

  (b)  $1340

  (c)  Debit card

Step-by-step explanation:

(a) The debit card is funded by Jenny's checking account, so it cannot be used to spend more than her checking account balance. The most Jenny can spend using her debit card is $1430.

__

(b) Amounts purchased using her credit card add to the credit balance. The most Jenny can purchase is the difference between her current balance and her credit limit.

  Limit - balance = $2350 -1010 = $1340

The most Jenny can spend using her credit card is $1340.

__

(c) For a purchase of $1400, the amount available on Jenny's credit card is insufficient. She can make the purchase using her debit card.

Answer:

6:7

Step-by-step explanation:

Answer:

Please where is the number line, if am to ask

Answer:

i cannot see the number line

Answer:

A​ least-squares solution of is a vector such that for all in .

C. The statement is true because the general​ least-squares problem attempts to find an that maximizes .

Step-by-step explanation:

The above statement is actually the one that validates the least-square solution statement.

Answer:

C. The statement is true because the general​ least-squares problem attempts to find an that maximizes.

Step-by-step explanation:

Hope this helps

Answer:

A

Step-by-step explanation:

Answer:

10.5, 31.5,  and 6.

Step-by-step explanation:

So to find the answers here, we must find the  value of t, when h equals 1.

To do this, lets take a h-t value we already know, and solve.

We can use: when h=2 t equasl 21:

2h=21t

So if we divide both sides by two we get:

2h/2=21t/2

=

h=10.5t

So know we know for every one h, t is 10.5

This can be verifyed with 4h = 42t. Which after solving, equals 1h=10.5t

So now that we have a value for t, lets get our solutions.

First off, we have 1h=__t?

Well, we have already made this one clear. It would be 10.5t, since for every 1h we have 10.5t

Next up, we have 3h=___t

All we have to do it multiply 10.5 by 3 to solve this:

10.5*3

=

31.5

So this is our second fill in answer.

Finally we have ___h=63t

We must divide both sides by 10.5, which is equal to 1t, to find this answer:

63/10.5

=

6

So our last fill in answer is 6.

Hope this helps!

Answer:

Point B is to the right of point A

Step-by-step explanation:

On a number line, the mid value is usually 0 with positive and negative numbers positioned to the either sides of the midpoint 0, the negative numbers are arranged to the left and the positive numbers are written to the right. With this in mind and the knowledge that positive numbers are always greater than negative numbera. Then we can conclude that point B is greater than point A because point B is positive and point A is negative because point B is to the right of Point A.

Step-by-step explanation:

f(X)=4x+2

f(3)=4×3+2

f(3)=14

Answer:

easy what's 5% of 3000 that's just for one year then multiple it by 4