Mrs. Smith is shopping for a toy chest to go in her kids' playroom. She looks at the options shown.

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If Mrs. Smith needs a toy chest that has at least 35 ft3 of storage space, which chest should she purchase

Answer:

$ 0.4

Step-by-step explanation:

if we assume head costs $ x then,

body will cost $x + 2 (2 more than head)

and tail will cost $x+1

x+x+2+x+1 = $ 4.20

or, 3x = 4.20-3

or, x= 1.20/3

therefore, x=0.4

Answer:

$ 0.4

Step-by-step explanation:

Answer:

x=8 is the answer. x-1=7 => x=7+1= 8

33 pupils - 17 girls = 16 total boys in the class

16 boys - 14 boys not on the team = 2 boys on the team.

Answer: 2

Answer: 12√6

Step-by-step explanation:

Given the expression;

2√3 * 3√√8

= (2*3) * (√3*√8)

= 6 * (√24)

= 6 * √4*6

= 6 * (2√6)

= (6*2)√6

= 12√6

Therefore, the simplified form of the expression is 12√6.

Answer:

8.7

Step-by-step explanation:

8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7

Answer:

Sohan has read more pages and Sonali was more faster

Answer:

y=4x-17

Step-by-step explanation: Distribute the 4(x-5)

4x-20

Then add three to both sides

y=4x-17

Answer:

Starting position of mine shaft is = 10m above ground

but,

it moves in opposite direction so it travels the distance (-350 m ) below the ground.

Total distance covered by mine shaft = 10m - (-350m)

= 10 + 350

= 360m

Now, taken to cover a distance of 6m by it = 1 minute

Time taken to cover a distance of 1m by it = \frac{1}{6\ }\min

Therefore, tie taken to a cover a distance of 360m = \frac{1}{6}\times\ 360\ =\ 60\ \min\ \

60 minutes = 1 hour

thus, in one hour the mine shraft reaches = 350 below the ground

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

integral of equation is x^3/3-6x^2/2+5x/1

the answer will be

7^3/3-3*7^2+5*7-0= 343/3-147+35= 7/3

Answer: 18,750

Step-by-step explanation: First you divide 80 by 100, getting .80. Then you divide 15,000 by .8, getting 18,750 cars.

Answer:

uważam że nie wiem ale bym wiedział tylko muszę wiedzieć

Answer:

m<1 =30

Step-by-step explanation:

[tex] < 1 + 117 + 33 = 180 \\ < 1 + 150 = 180 \\ < 1 = 180 - 150 \\ < 1= 30[/tex]

Answer:

41º

Step-by-step explanation:

As this is an isosceles B and D are congruent.

The sum of the angles in a triangle is 180º

Therefor

2x = 180 - 98

2x = 82

x = 41º

Answer:

4 better inbox

Step-by-step explanation:

Answer: 8.6?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Attached each inequality separately and the solution showing the intersection below.

y > -1/3x + 2

x < 4

[tex]\begin{array}{ccll} \stackrel{cm}{map}&\stackrel{mi}{actual}\\ \cline{1-2} 2&100\\ 5.4&x \end{array}\implies \cfrac{2}{5.2}=\cfrac{100}{x}\implies 2x = 520\implies x = \cfrac{520}{2}\implies x = 260[/tex]

Answer:

-sin x

Step-by-step explanation:

sin(3π/3+x)=sin (π+x)=-sin x

or

sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x

Answer:

1

Step-by-step explanation:

One year, the distribution of salaries for professional sports players had mean $1.6 million and standard deviation $0.8 million. Suppose a sample of 400 major league players was taken. Find the approximate probability that the average salary of the 400 players that year exceeded $1.1 million.

z = (x-μ)/σ/√n

where

x is the raw score

μ is the population mean

σ is the population standard deviation

n = random number of samples

Mean $1.6 million and Standard deviation $0.8 million.

z = (1100000- 1600000)/800000/√400

z = -500000/800000/20

z = -500000/40000

z = -12.5

Probability value from z score table is :

P(x ≤ Z) = P(x = 1100000) = P(z = 12.5)

= 0

P(x>Z) = 1 - P(x < Z)

= 1 - 0

= 1

The approximate probability that the average salary of the 400 players that year exceeded $1.1 million is 1

Answer:

y = [tex]\sqrt{19^2} + \sqrt{8.2^2}[/tex]

Step-by-step explanation:

Pythagorean Theorem : a² + b² = c²

19² + 8.2² = c²

c = [tex]\sqrt{19^2 + 8.2^2}[/tex]

c = [tex]\sqrt{19^2} + \sqrt{8.2^2}[/tex]

-Chetan K

Answer:

the answer is >

Step-by-step explanation:

I took the test

Answer:

1 1/2

Step-by-step explanation:

because when you divide 7.5 by 5 you get 1.5

Answer:

1 ×48=48

2×24=48

3×16=48

4×12=48

6×8= 48

Answer:

The answer is 4.5

Answer:

i think 34

Step-by-step explanation:

because thats the answer i got on calculator

Answer:

N=3.5

Step-by-step explanation:

it is 3.5 because it said line p is the perendicular bisector so the triangle has to be equal. so the line ZY=XY

14/4=3.5

[tex]9(n+3)~<~10(n+1)\implies 9n+27~<~10n+10 \\\\\\ 27~<~n+10 \implies 17 ~<~ n[/tex]

Take the Laplace transform of both sides:

L[y'' - 4y' + 8y] = L[δ(t - 1)]

I'll denote the Laplace transform of y = y(t) by Y = Y(s). Solve for Y :

(s²Y - s y(0) - y'(0)) - 4 (sY - y(0)) + 8Y = exp(-s) L[δ(t)]

s²Y - 4sY + 8Y = exp(-s)

(s² - 4s + 8) Y = exp(-s)

Y = exp(-s) / (s² - 4s + 8)

and complete the square in the denominator,

Y = exp(-s) / ((s - 2)^2 + 4)

Recall that

L⁻¹[F(s - c)] = exp(ct) f(t)

In order to apply this property, we multiply Y by exp(2)/exp(2), so that

Y = exp(-2) • exp(-s) exp(2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-s + 2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-(s - 2)) / ((s - 2)² + 4)

Then taking the inverse transform, we have

L⁻¹[Y] = exp(-2) L⁻¹[exp(-(s - 2)) / ((s - 2)² + 4)]

L⁻¹[Y] = exp(-2) exp(2t) L⁻¹[exp(-s) / (s² + 4)]

L⁻¹[Y] = exp(2t - 2) L⁻¹[exp(-s) / (s² + 4)]

Next, we recall another property,

L⁻¹[exp(-cs) F(s)] = u(t - c) f(t - c)

where F is the Laplace transform of f, and u(t) is the unit step function

[tex]u(t) = \begin{cases}1 & \text{if }t \ge 0 \\ 0 & \text{if }t < 0\end{cases}[/tex]

To apply this property, we first identify c = 1 and F(s) = 1/(s² + 4), whose inverse transform is

L⁻¹[F(s)] = 1/2 L⁻¹[2/(s² + 2²)] = 1/2 sin(2t)

Then we find

L⁻¹[Y] = exp(2t - 2) u(t - 1) • 1/2 sin(2 (t - 1))

and so we end up with

y = 1/2 exp(2t - 2) u(t - 1) sin(2t - 2)