All categories

1 year ago

Find the QT plzzzzzzz

Mathematics

1 answer:

strojnjashka [21]1 year ago

5 0

Step-by-step explanation:

I didn't write language hope u get it

You might be interested in

How many ways can 4 candy bars be chosen from a store that sells 30 candy bars (combination)

Morgarella [4.7K]

Answer:

Using the combination formula:

Number of combination of r object chosen from the total object i.e n is given by:

$\frac{n!}{r! \cdot (n-r)!}$

As per the statement:

4 candy bars be chosen from a store that sells 30 candy bars

Number of candy bars chosen from a store that sells 30 candy bars(r)= 4

and

Total candy bars(n) = 30

then substitute in the given formula we have;

$\frac{30!}{4! \cdot (30-4)!}$

⇒ $\frac{30!}{4! \cdot (26)!}$

⇒ $\frac{30 \cdot 29 \cdot 28 \cdot 27 \cdot 26!}{1 \cdot 2 \cdot 3 \cdot 4 \cdot (26)!}$

Simplify:

⇒ $\frac{657720}{24} = 27,405$

therefore, 27,405 ways can 4 candy bars be chosen from a store that sells 30 candy bars

3 0

2 years ago

Read 2 more answers

Please help me with the below question.

Snezhnost [94]

6a. By the convolution theorem,

$L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}$

6b. Similarly,

$L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}$

7. Take the Laplace transform of both sides, noting that the integral is the convolution of $e^t$ and $f(t)$ .

$\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau$

$\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)$

where $g(t) = e^t$ . Then $G(s) = \frac1{s-1}$ , and

$F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}$

We have the partial fraction decomposition,

$\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)$

Then we can easily compute the inverse transform to solve for f(t) :

$F(s) = -\dfrac1s + \dfrac4{s+3}$

$\implies \boxed{f(t) = -1 + 4e^{-3t}}$

6 0

1 year ago

F(x)=-2X-3 and g(x)=5X-6.<br> Find 2f(x)-3g(x)+F(x)

MakcuM [25]

Answer:

-21X + 9

Step-by-step explanation:

8 0

2 years ago

Help its lateee and i suck at this

s2008m [1.1K]

Answer:

1. Identify the problem: Packaging boxes use too much material and create waste

2. What are the equations for the volume and surface area of a cube and rectangular prism?

Volume of a cube: Vcube = L x L x L = L3

Surface area of a cube: SAcube = 6 x (L x L) = 6L2

Volume of a rectangular prism: VRP = L x W x H = LWH

Surface area of a rectangular prism: SARP = 2 x (L x W) + 2 x (L x H) + 2 x (W x H) = 2(LW + LH + WH)

3. What is the difference in surface area of the packages below? (Note that they have the same volume.)

SAcube = 6L2

= 6 (20 cm)2

= 2,400 cm2

SARP = 2(LW + LH + WH) = 2 (20cm x 10cm + 20cm x 40cm + 10cm x 40cm) = 2,800 cm2

SARP – SAcube = 2,800 cm2

– 2,400cm2

= 400 cm

Step-by-step explanation:

everything in bold is the answer

Can I please get the Brainlist

3 0

2 years ago

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

tangare [24]

The larger number is 51 and the smaller number is 12. ( hope I helped) have a good day

3 0

2 years ago