how do I multiply (3.4)(6.7) explain your answers and how you got that please. ​

Answer: A) 21,369

Step-by-step explanation: since 21,369 can be divided by 3 and = a whole number then it's divisible and also it's divided without a remainder / it's compatible so, 21,369/3= 7,123 which makes (A) your correct answer

Answer:

[tex]3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]

Step-by-step explanation:

Product rule, noticing that the second function is composed.[tex]g'(x) = (3x^2)\cdot cos(\pi x) + (x^3) \cdot [-\pi sin(\pi x)] = 3x^2 cos (\pi x)-\pi x ^3sin(\pi x)[/tex]

Hello!

We can use the product rule to differentiate this function.

Let g(x) = f(x) · h(x).

Recall the following:
[tex]\frac{dy}{dx} f(x) * h(x) = f'(x)h(x) + h'(x)f(x)[/tex]

In this instance, let:
[tex]f(x) = x^3\\\\h(x) = cos(\pi x)[/tex]

Differentiate each.

f(x):

Use the product rule:
[tex]\frac{dy}{dx}x^n = nx^{n-1}\\\\f'(x) = 3x^{3-1} = 3x^2[/tex]

h(x):
Use the chain rule.

[tex]h'(x) = \pi (1) * -sin(\pi x) = -\pi sin(\pi x)[/tex]

Now, we can use the above product rule.

[tex]g'(x) = 3x^2 * cos(\pi x) + (-\pi sin(\pi x) * x^3)\\\\\boxed{g'(x) = 3x^2cos(\pi x) - \pi x^3 sin(\pi x)}[/tex]

Answer:

z=25.45

because {45.28=19.83+25.45}

{45.28=45.28}

Answer:

c

Step-by-step explanation:

The volume of the prism that its faces is made from 6 identical squares is 48 cm³.

A square prism is a 3-dimensional cuboid where the base and top are equal squares.

where

a = side length

h = height

Therefore,

a = 2 cm

h = 12 cm

Therefore,

v = a²h

v = 2² × 12

v = 4 × 12

v = 48 cm³

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Answer:

288cm (cubed)

Step-by-step explanation:

4*2=8*12=96

6*2=12*12=144

2*2=4*12=48

144+96+48=288

Answer:

Question (a)

[tex]x^2-a^2-bx-ab=0[/tex]

Write in standard form [tex]ax^2+bx+c=0[/tex]:

[tex]\implies x^2-bx-(a^2+ab)=0[/tex]

Therefore,

Using quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\implies x=\dfrac{b\pm\sqrt{(-b)^2+4(1)(a^2+ab)} }{2(1)}[/tex]

[tex]\implies x=\dfrac{b\pm\sqrt{b^2+4a^2+4ab} }{2}[/tex]

[tex]\implies x=\dfrac{b\pm\sqrt{(b+2a)^2} }{2}[/tex]

[tex]\implies x=\dfrac{b \pm (b+2a)} {2}[/tex]

[tex]\implies x=\dfrac{2b+2a} {2}=b+a[/tex]

[tex]\implies x=\dfrac{-2a} {2}=-a[/tex]

Question (b)

[tex]6x^2-15ax=2bx-5ab[/tex]

Write in standard form  [tex]ax^2+bx+c=0[/tex]:

[tex]\implies 6x^2-15ax-2bx+5ab=0[/tex]

[tex]\implies 6x^2-(15a+2b)x+5ab=0[/tex]

Therefore,

Using quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{(-15a-2b)^2-4(6)(5ab)} }{2(6)}[/tex]

[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{225a^2+60ab+4b^2-120ab} }{12}[/tex]

[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{225a^2-60ab+4b^2} }{12}[/tex]

[tex]\implies x=\dfrac{(15a+2b)\pm\sqrt{(15a-2b)^2} }{12}[/tex]

[tex]\implies x=\dfrac{(15a+2b) \pm (15a-2b) }{12}[/tex]

[tex]\implies x=\dfrac{30a }{12}=\dfrac52a[/tex]

[tex]\implies x=\dfrac{4b}{12}=\dfrac13b[/tex]

Question (c)

[tex]\dfrac{x^2}{x-1}=\dfrac{a^2}{2a-4}[/tex]

Cross multiply:

[tex]x^2(2a-4)=a^2(x-1)[/tex]

Write in standard form  [tex]ax^2+bx+c=0[/tex]:

[tex](2a-4)x^2-a^2x+a^2=0[/tex]

Therefore,

Using quadratic formula:

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\implies x=\dfrac{a^2\pm\sqrt{(-a^2)^2-4(2a-4)(a^2)} }{2(2a-4)}[/tex]

[tex]\implies x=\dfrac{a^2\pm\sqrt{a^4-8a^3+16a^2} }{4a-8}[/tex]

[tex]\implies x=\dfrac{a^2\pm\sqrt{a^2(a-4)^2} }{4a-8}[/tex]

[tex]\implies x=\dfrac{a^2\pm a(a-4)}{4a-8}[/tex]

[tex]\implies x=\dfrac{a^2\pm (a^2-4a)}{4a-8}[/tex]

[tex]\implies x=\dfrac{2a^2-4a}{4a-8}=\dfrac{2a(a-2)}{4(a-2)}=\dfrac12a \ \ \ (a\neq 2)[/tex]

[tex]\implies x=\dfrac{4a}{4a-8}=\dfrac{a}{a-2} \ \ \ \ (a\neq 2)[/tex]

Answer:

x=3

Step-by-step explanation:

In(x-1) = In(6) - In(x)

In(x-1) + In(x) = In(6)

In((x-1)x) = In(6)

In(x^2-x) = In(6)

x^2-x=6

x^2-x-6=0

x^2+2x-3x-6=0

x(x+2)-3(x+2)=0

(x-3)(x+2)=0

x=3 because x=-2 need to be cancel out

Answer:

Sensor Calibration

Convert between coordinate systems of every sensor, image, vehicle and global coordinate axis system. So data from a sensor can be mapped globally.

Calibration of a camera helps to convert a pixel in an image to

Computer Vision

Step-by-step explanation:

Answer:

4x - 8 = 15

4x = 15 + 8

4x = 23 (divide both sides by 4 to get x)

4x/4 = 23/4

x = 5.75

Step-by-step explanation:

x = 5.75!!!!!

Answer:

2.875

Step-by-step explanation:

Answer:

2.875

Step-by-step explanation:

its not a whole number its a fraction or decimal but i gave u the decimal

Answer:

The second option: Waxing crescent - first quarter; Waning gibbous - third quarter

Answer:

46.01

Step-by-step explanation:

i.e sum of all the purchases + 7% of the total purchase.

Answer:

x=25

All triangles must equal 180

95+35=130

The computation of the probability from the jackpots drawings of Lotto Texas shows that the number of different lottery tickets that could be sold is 25827165.

The number of different lottery tickets that could be sold will be:

= 54C6

= 54! / (54-6)!6!

= 54! / 48!6!

= 25827165

The number of ways that are there to match 5 of 6 numbers will be:

= 6C5 × (54 - 6)C1

= 6 × 48

= 288

The number of ways that are there to match 3 of 6 numbers will be:

= 6C3 × (54 - 6)C3

= 20 × 17296

= 345920

The number of ways that are there to match 4 of 6 numbers will be:

= 6C4 × (54 - 6)C2

= 15 × 1128

= 16920

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Answer:

-459

Step-by-step explanation:

-52 - 407 = -552 + (-407) = -459

Answer:

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so:

[tex]8x+3=19 \longrightarrow x=2[/tex]

[tex]27=-y-5 \longrightarrow y=-32[/tex]

well, from 354000 to 414180, their difference is 414180 - 354000 = 60180.

if we take 354000 to be the 100%, what is 60180 off of it in percentage?

[tex]\begin{array}{ccll}amount&\%\\\cline{1-2}354000&100\\60180&x\end{array}\implies \cfrac{354000}{60180}=\cfrac{100}{x}\implies \cfrac{100}{17}=\cfrac{100}{x}\\\\\\100x=1700\implies x=\cfrac{1700}{100}\implies x=17[/tex]

The percent increase in the population is 17%.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the population of the city increased from 354000 to 414180.

The amount of increase is:

414180 - 354000

= 60180

The percent increase is given by:

(60180/354000) × 100%

= 17%

Hence, the percent increase in the population is 17%.

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Answer:

15

Step-by-step explanation:

Answer:

three

Step-by-step explanation:

The lateral faces are any faces besides the base.

In summary, we will count how many sides there are in a triangular pyramid, and subtract one for the base.

-> A triangular pyramid has four sides / faces

-> A triangular pyramid has three lateral faces

Answer: 3

Step-by-step explanation: i did the quiz

Answer: 120

Step-by-step explanation: To find the volume of these two combined, we must use V = s*s*s. 4 * 10 * 2 = 80, and 2 * 5 * 4 = 40, and since we are combining this together for an added volume (since it is a tower), it is 120 inches cubed.

Answer:

65%

Step-by-step explanation:

You start by dividing 641.29 by 986.60 (641.29/986.60). This gets you .65, which as a percentage is 65%

Answer:

a) obtain a formula for g

=> g - 32 = 52

=> g = 52 + 32

b) Solve for g

=> 52 + 32

=> g = 84

Answer:

a) obtain a formula for g

Calculate the sum of first n natural numbers as sumtotal= n*(n+1)/2.

Create a variable sum to store the sum of array elements.

Traverse the array from start to end.

Update the value of sum as sum = sum + array[i]

Print the missing number as SumTotal – sum.

b) Solve for g​

g = 84

Answer:

x=18?

Step-by-step explanation:

oops if its expanding brackets x doesnt equal to 18

Answer:

The Value Of X Is 15x^2+52 hope it helps u

The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.

Option D is the correct answer.

Profit is the difference between the selling price and the cost price.

We have,

Revenue refers to the total income that a business generates by selling goods or services.

Cost refers to the total expenses incurred by a business in order to produce and sell those goods or services.

Profit is the difference between revenue and cost.

It is the money that a business makes when it sells goods or services for more than it spent on producing and selling them.

Profit is important for businesses as it allows them to invest in growth and development, pay dividends to shareholders, and sustain their operations over the long term.

Thus,

The money that a business makes when it sells goods or services for more than it spent on the goods and services is profit.

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Answer:

(-2, -2)

Step-by-step explanation:

Firstly you can substitute the y= -6x -14 Directly into the other equation having one equation that looks like this 8x+3(-6x-14)= -22 then solve for X and substitute in the y equation you also get the y value

Answer:

(-2, -2)

Step-by-step explanation:

9514 1404 393

Answer:

  1 : 400

Step-by-step explanation:

A meter is 100 cm, so 4 m = 400 cm.

  1 cm : 4 m = 1 cm : 400 cm = 1 : 400

Answer:

1:400 w7uwuwwuwiwiwyyyuuiyy

Answer:

729 : 15,625

Step-by-step explanation:

the ratio of their areas is 27² : 125² = 729 : 15,625

Answer: t<40

8p+<184

Step-by-step explanation:

The inequalities representing the given condition will be [tex]t\leq40[/tex] and [tex]8p+t\leq184[/tex].

Given information:

A baker makes apple tarts and apple pies each day.

The baker receives a shipment of 184 apples every day.

A tart requires 1 apple and a pie requires 8 apples.

Let t be the number of tarts made each day and p be the number of pies made each day.

The baker makes no more than 40 tarts per day. So, the condition can be written as,

[tex]t\leq40[/tex]

And the condition for each day apple delivery can be written as,

[tex]8p+t\leq184[/tex]

Therefore, the inequalities representing the given condition will be [tex]t\leq40[/tex] and [tex]8p+t\leq184[/tex].

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