3.

Identify the vertex of the graph. Tell whether it is a minimum or maximum.


A. (–1, 1); minimum

B. (–1, 1); maximum

C. (1, –1); minimum

D. (1, –1); maximum

Step-by-step explanation:

(B) L = 182.9 cm +- 0.1 cm

W = 152.4 cm +- 0.1 cm

(C)

Smallest dimensions possible:

L = 182.9 cm - 0.1 cm = 182.8 cm

W = 152.4 cm - 0.1 cm = 152.3 cm

A = (182.9 cm)(152.3 cm)

= 27840.44 cm^2

To find the uncertainty for the area ∆A, we use the formula

[tex] \frac{da}{a} = \frac{dl}{l} + \frac{dw}{w} [/tex]

where da = ∆A, dl = ∆L, dw = ∆W

[tex] \frac{da}{27840.44 {cm}^{2} } = \frac{0.1cm}{182.8cm} + \frac{0.1cm}{152.3cm} [/tex]

[tex] = 0.000547 + 0.000657[/tex]

[tex] = 0.001204[/tex]

Therefore

∆A = 0.001204 × 27840.44 cm^2

= 33.52 cm^2

Rounding off the numbers to their significant figures,

A = 27840 cm^2 +- 33 cm^2

(D)

For the largest possible area,

L = 183.0 cm

W = 152.5 cm

A = 27905.5 cn^2

[tex] \frac{da}{27907.5 {cm}^{2} } = \frac{0.1cm}{183.0cm} + \frac{0.1cm}{152.5cm} [/tex]

[tex] = 0.001202[/tex]

∆A = 0.001202 × 27907.5 cm^2

= 33.55 cm^2

Therefore, the largest possible area is

A = 27910 cm^2 +- 33 cm^2

Answer:

Hello! answer: 135 degrees

Step-by-step explanation:

Its forming a straight line so

180 - 45 = 135 therefore x = 135 hope that helps!

Answer:

Step-by-step explanation:

x+45=180 degree(being straight line)

x=180-45

x=135 degree

Answer:

Step-by-step explanation:

The prime cost = 4 times the value of material used

Former Prime cost = 540

Value of material = 540 / 4 = Rs. 135

Since ;

Prime cost = raw material + wages

540 = 135 + wages

Wages = 540 - 135

Wages = 405

Increase in raw material ; 3 : 4

New cost of raw materials = (4/3) * 135 = 180

Decrease in wage ; 4 : 5

New wage = 4/5 * 405 = 324

New prime cost :

180 + 324

= 504

Answer:

72°

Step-by-step explanation:

A line is 180° and the total angle degrees are 180°

180 - 140 = 40

68 + 40 = 108

180 - 108 = 72

Answer:

Claim 1

Step-by-step explanation:

Answer:

M(t) = ($10/hr)t + $100

Step-by-step explanation:

M(t) will represent the amount of money John earns in one day as a function of the number of hours he works, assuming he only rents out one car.  Then:

M(t) = ($10/hr)t + $100

Answer:

Letty has 15 quarters, 15 nickels, and 5 dimes.

Step-by-step explanation:

Given that Letty has $ 5 in nickels, dimes, and quarters, and she has 3 times as many nickels as dimes, and 5 times as much money in quarters as she does nickels, to determine how many of each does she have the following calculation:

Nickel = 5

Quarter = 25

25/5 = 5

Therefore, Letty has the same number of quarters as she has nickels, and therefore she has three times as many nickels and quarters as dimes.

3 x 0.25 + 3 x 0.05 + 1 x 0.1 = 1

15 x 0.25 + 15 x 0.05 + 5 x 0.1 = 5

Therefore, Letty has 15 quarters, 15 nickels, and 5 dimes.

Answer:

Miguel: d = 23t + 10

Gabby: d = 28t

Step-by-step explanation:

We can write the equation for each case in slope-intercept form, d = mt + b

Where,

d = total distance

t = time

m (rate) = distance/hr

b = initial value

✔️ Miguel:

m = 23 km/hr

b = 10 mile

Equation: subtitle the values into d = mt + b

d = 23t + 10

✔️ Gabby:

m = 28 km/hr

b = 0 mile

Equation: subtitle the values into d = mt + b

d = 28t + 0

d = 28t

Answer:

a=1 c=3 b=3

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ {a}^{2} - bc}{b} = \frac{ {12}^{2} - 6 \times 3}{6} = \frac{144 - 18}{6} = \frac{126}{6} = 21[/tex]

Answer:

what is the topic

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

314.2ft^2

Step-by-step explanation:

Given data

Diameter= 20ft

Radius r= 20/2= 10ft

The expression for the area is

A= πr^2

A= 3.142*10^2

A= 3.142*100

A= 314.2ft^2

Hence the area is 314.2ft^2

Answer:okay I think you might have to multiply

Step-by-step explanation:

It says cans are places in equal groups so if you do 18 x 3 you get 54

Answer:

D

Step-by-step explanation:

Answer:

43.9

Step-by-step explanation:

So this is as long as ____ so I'm not going to write the steps.

If it requires them, then I will.

Add everything together:

Gives you 1317.

Divide it by the number of objects:

30

1317/30=43.9

Answer:

4^4 = 16 (we square our radius when finding area)

16 x 3.14(we then multiply the squared radius with pi so we could get the complete area) = 50.24

Now we multiply the area of one circle by the height to get the PRISM'S volume.

50.24(area) x 13(height) = 653.12 cm^3 is your answer.

Answer:

165

Step-by-step explanation:

210/3=70

110/2=55

70×11=770

55*11=605

770-605= 165

y would be 165 greater in the table than on the graph when x=11

Answer:  There are 177100 possible groups.

Step-by-step explanation:

Given: Total employees = 25

Number of  employees  wants to choose = 6

The combination of n things taken r at a time is given by:-

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Put n = 25 and r= 6, we get

[tex]^{25}C_6=\frac{25!}{6!(25-6)!}\\\\=\frac{25\times24\times23\times22\times21\times20\times19!}{6!19!}\\\\=177100[/tex]

Hence, there are 177100 possible groups.

.......................

Answer:

$0.20

Step-by-step explanation:

We need to find the unit rate in order to find the price of 1 pencil.

Divide the price by the amount.

7/35=1/5

A dollar is 100 cents, so the price is 1/5 of 100, or 20 cents.

---

hope it helps

Answer:

54.7

Step-by-step explanation:

16.7 + 11 + 11 + 8 + 8 = 54.7

Note

I don't know how you are wrong but I showed my work and I got the same answer which is weird.

Answer:

18 cm

Step-by-step explanation:

Let X represent a square

For it to be a rectangle, needs to be:

X X X

X X X

X X X

(It's a giant square made of squares)

This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.

For Example:

X X X X

X X X X X

It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.

So if the length is 18cm, the width is also 18cm.

Answer:

1.75

Step-by-step explanation:

35x.95=33.25 discount

35-33.25=1.75

Answer: You are correct. The answer is C) 7

This is because the max is visually shown by the tip of the right whisker. This assumes there are no large outliers. If there were large outliers, then we'd have island points to the right of the boxplot.

Answer:

the square root of 7396 by long division method is 86

Answer:

Step-by-step explanation:

sin 2π/3

sin 180*2/3

sin 360/3

sin 120

[tex]\sqrt{3}[/tex]/2