An elephant has a mass of 4,900 kg. A dog has a mass of 35 kg. What is the difference in their mass?

Answer:

the Mindanao part of the Philippines they have MUSIC OF MINDANAO that originates from the people living there. They have names for the different music that they play and perform. One of these is the CHANT(S), which is the lyrical rendition of different improvised text. Every culture differs and possess a very good way of performing their own and unique music. An example of this is LUGU which is a Chant that they use in reading his Qur'an and other books they use in his Islam religion.

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[tex] - 1 - 5x + 6 - 30x \leqslant - 65[/tex]

[tex] - 35x + 5 \leqslant - 65[/tex]

Factoring -5

[tex] - 5(7x - 1) \leqslant - 65[/tex]

Divided sides by -5

##############################

Point :

If the sides of an inequality are multiplied by or divided by a negative number, the direction of the inequality changes and returns.

##############################

[tex] \frac{ - 5}{ - 5}(7x - 1) \geqslant \frac{ - 65}{ - 5} \\ [/tex]

[tex]7x - 1 \geqslant 13[/tex]

Plus sides 1

[tex]7x - 1 + 1 \geqslant 13 + 1[/tex]

[tex]7x \geqslant 14[/tex]

Divided sides by 7

[tex] \frac{7}{7}x \geqslant \frac{14}{7} \\ [/tex]

[tex]x \geqslant 2[/tex]

Done ♥️♥️♥️♥️♥️

Answer:

3

Step-by-step explanation:

We have been given a function as; f(x)= -3x+3. then it is found that f(0) =  3

Function is a type of relation, or rule, that maps one input to specific single output.

We have been given a function as;

f(x)= -3x+3.

then we need to find the function when x is equal to zero.

If f(x) = -3x + 3, this means that any number that replaces x in the parenthesis, would replace x in the right side too.

When x = 0:

f(0) = -3(0) + 3 = 3

f(0) =  3

Therefore, We have been given a function as; f(x)= -3x+3. then it is found that f(0) =  3

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n<DEH =

Exact form:

x = 29/2

Decimal form:

x = 14.5

Mixed number form:

x = 14 1/2

Total:

(12x+6) = 180

n<HEG =

Exact form:

x = 179/7

Decimal form:

x = 25.57142857

Mixed number form:

x = 25 4/7

Total:

(7x+1) = 180

n<GEF =

Exact form:

x = 91/3

Decimal form:

x = 30.3

Mixed number form:

x = 30 1/3

Total:

(6x-2) = 180

Answer:

Step-by-step explanation:

Answer

Rs. 624.32 is the interset

Step-by-step explanation:

Therefore, the compound interest is Rs. 624.32 on Rs. 5000 if it is compounded half yearly for 1 year 6 months at 8 % per annum.

the quadrilateral is also a rectangle as the rectangle and the quadrilateral have 4 sides.

Answer:

n= -5

Step-by-step explanation:

1-n/5 = 12

cross 1 to the other side.

new equation :

-n/5 = 11

Multiple 5 on both sides

divide the negative sign on n on both sides

n = -55

Answer:2,286:L

Step-by-step explanation: you just round .

The 32000 divided by decimal 14 does not yield a whole number.

To determine if 32000 divided by 14 results in a whole number, to check if 14 is a factor of 32000. If it is, then the division will yield a whole number.

Let's divide 32000 by 14:

32000 ÷ 14 = 2285.7142857142857...

The division does not result in a whole number. The result has decimal places, indicating that 14 is not a factor of 32000.

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Answer: h(t)=[tex]16x^{2} \\\\[/tex]+80t+4

Step-by-step explanation:

80 if feet per second so it's 80*seconds where seconds equals t

this gets you 80*t or 80t.

You need to add 4 because that's the initial height to start with so 16x^2+80t+4

Answer:

The answer is A

Step-by-step explanation:

what do you mean help? Help with what ask a question

The equation which shows the one way to determine the factors of provided equation by grouping is,

[tex]2x^2(6x-1)+3(6x-1)[/tex]

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The provided polynomial equation is,

[tex]12x^3 - 2x^2 +18x - 3[/tex]

To factorize the above polynomial equation, make the groups, by taking out the greatest common factor.

[tex]12x^3 - 2x^2 +18x - 3\\2x^2(6x-1)+3(6x-1)\\(6x-1)(2x^2+3)[/tex]

Hence, the equation which shows the one way to determine the factors of provided equation by grouping is,

[tex]2x^2(6x-1)+3(6x-1)[/tex]

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Answer:

(7, 3)

Step-by-step explanation:

If we reflect a point/figure across the y-axis, the rule is (x, y) -> (-x, y).  

Now, let's reflect it against the y-axis again.

As you can see, we're back to where we started- at (7, 3). Thus, we can conclude that reflecting across the y-axis twice will result in the original point/figure.

Answer:

0.878787 as a fraction equals 878787/1000000

Answer:

Step-by-step explanation: Thomas is very beautiful and he come to my house to visite it.

Answer:

c) (-3,1)

Step-by-step explanation:

See, the turning point here is the maximum point. The coordinates of the turning point will give you the maximum value of g.

Now, how will you know if it's maximum or minimum by seeing a graph? It's simple, a smiley curve has a minimum point and a sad curve has a maximum point.

I hope it helped.

Answer:

Step-by-step explanation:

Answer:

when a number has more than two factors it is called a composite number

Step-by-step explanation:

here u go first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71 etc..

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[tex]\huge\boxed{\fcolorbox{cyan}{blue}{Answer:-}}[/tex]

The number 63 is not a prime number because it is possible to express it as a product of prime factors. In other words, 63 can be divided by 1, by itself and at least by 3 and 7. So, 63 is a 'composite number'.

List of prime numbers between 29 and 63:

29, 31, 37, 41, 43, 47, 53, 59, 61.

What, do you want that thing to be answered? There is a app that does your math for you in a few seconds i hope ya know. I dont think anyone here could figure that out either.

Answer:

The maximum revenue is $320,000

Step-by-step explanation:

To find the maximum of a function f, the procedure is as follows:

The revenue function for a bicycle shop is

R(x)=xp(x), where p(x)=800-0.5x. Substituting:

[tex]R(x)=x(800-0.5x)=800x-0.5x^2[/tex]

Find the first derivative of R:

R'(x)=800-x

Equate to 0:

800-x=0

Solve:

x=800

There is only one critical point. Substitute it into the revenue function:

[tex]R(800)=800(800)-0.5(800)^2=320,000[/tex]

The maximum revenue is $320,000

Answer:

finde the equation exponent statment for the foollwing

Answer:

See below.

Step-by-step explanation:

x-5=7

 +5 +5

x=12

You would use the addition property of equality.

-hope it helps

Answer:

The answ is 20 7/8

Step-by-step explanation:

Answer:

44 7/8

Step-by-step explanation:

Hope this helps!

And just to make sure do you mean twelve and seven eighths?

The length of the guy wire (rounded to the nearest foot) is 20 ft. Then the correct option is A.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A guy wire supports a cell phone tower.

The guy wire makes a 55° angle with the ground and touches the ground 34 ft from the base of the tower.

Base = 34 ft.

The length of the wire will be given as

[tex]\rm Wire \ length = 34 * cos\ 55^o\\\\Wire \ length = 19.5 \approx 20 \ ft[/tex]

The length of the wire is 20 ft. Then the correct option is A.

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Answer:

is 59ft

Step-by-step explanation:

just took the test

[tex] \: \: \: [/tex]

[tex] = \rm \large \frac{3 \frac{1}{2} - 9 \frac{3}{4} }{ - 2.5} [/tex]

[tex] \: \: [/tex]

[tex] = \rm \large \frac{ \frac{7}{2} - 9 \frac{3}{4} }{ - 2.5} [/tex]

[tex] \: \: [/tex]

[tex] = \rm \large \: \frac{ \frac{7}{2} - \frac{39}{4} }{ - 2.5} [/tex]

[tex] \: \: [/tex]

[tex]= \rm \large \: \frac{ \frac{25}{4} }{ - 2.5} [/tex]

[tex] \: \: \: [/tex]

[tex]= \rm \large \: \frac{5}{2} [/tex]

[tex] \: \: \: [/tex]

A possible practical domain for the function is T > 12500

The domain are the input values for which a function exist.

Given the function relating the metal bar is L cm long when its temperature is T◦C as:

L(T) = 0.002T + 25

The domain of the expression is the point where 0.002T + 25 is greater than zero.

0.002T + 25 > 0

0.002T > -25
T > 12,500

Hence  a possible practical domain for the function is T > 12500

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Answer:

Solution:

(See the solution in the photo)

Answer:

[tex]\sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]

explanation:

[tex]\sf y = sin(x) * cos(2x)[/tex]

[tex]\rightarrow \sf \frac{d}{dx}\left(sin\left(x\right)\ * \:\:cos\left(2x\right)\right)[/tex]

[tex]\sf \bold {Apply\:the\:Product\:Rule}:\quad \left(f\cdot g\right)'=f\:'\cdot g+f\cdot g'[/tex]

[tex]\rightarrow \sf \frac{d}{dx}\left(\sin \left(x\right)\right)\cos \left(2x\right)+\frac{d}{dx}\left(\cos \left(2x\right)\right)\sin \left(x\right)[/tex]

[tex]\sf \bold{ Apply \ differentiation \ rule \ \ \ : } \ \ \ sin(x) = cos(x) \ \ and \ \ cos(x) = -sin(x)[/tex]

[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)+\left(-\sin \left(2x\right)\ * \:2\right)\sin \left(x\right)[/tex]

[tex]\rightarrow \sf \cos \left(x\right)\cos \left(2x\right)\left-2\sin \left(2x\right)\sin \left(x\right)[/tex]

[tex]\sf \bold {use \ the \ formulae \ : \ cos(2x) = 2cos^2(x) - 1} \ {and} \ \ \sf \bold{sin(x) = 2 sin x cos x}[/tex]

[tex]\rightarrow \sf cos(x) (2cos^2 (x) -1) -2(2sin(x)cos(x)sin(x))[/tex]

[tex]\rightarrow \sf 2cos^3 (x) - cos(x) - 4sin^2(x) cos(x)[/tex]

[tex]\rightarrow \sf -5\cos \left(x\right)+6\cos ^3\left(x\right)[/tex]

Answer:

Step-by-step explanation:

Note:

Circumference of a circle = [tex]\pi d[/tex]

Where d = diameter

We are given the diameter is 20cm, d = 20

Circumference of circle = [tex]\pi d[/tex] = 20 [tex]\pi[/tex]

Also, perimeter of a rectangle = 2 times length + 2 times width

We are told the length = 18 , width = x

Perimeter of rectangle = 2 times 18 + 2 times x

Perimeter of rectangle = 36 + 2x

The question also tells us that the circumference of the circle is EQUAL to the perimeter of the rectangle:

So this means:

Since Circumference of circle = 20[tex]\pi[/tex]  ,

Perimeter of rectangle = 36 + 2x .

We can write:

Circumference of circle = perimeter of rectangle

20[tex]\pi[/tex]   = 36 + 2x

Subtract 36 from both sides

20[tex]\pi[/tex] - 36   = 2x

Divide both sides by 2 to solve for "x".

x = [tex]\frac{20\pi - 36 }{2} = ?[/tex]

Plug it into your calculator and then just round it to 1 decimal place.

Answer:

y = -3x + 8

Step-by-step explanation:

Given :-

Point on line = (5, -7)

Slope (m) = -3

To find :-

Equation of line

Solving :-

Using point-slope form of equation,

y - y₁ = m(x - x₁)

y + 7 = -3(x - 5)

y + 7 = -3x + 15

Solution :-

y = -3x + 8