Subract 6 hours 4d minutes 90 seconds from 4 hours 55 minutes and 100 seconds

Answer:

There are 10,560 yards in 3 mile or miles in 3 yard. Both yards and miles are units of length in the US customary and imperial systems of measurement.

Answer:

C. 22/5

Step-by-step explanation:

4x5=20

20+2=22

Answer:

C. 22/5

When making an improper fraction you must first multiply the denominator with the whole number in this case that would be 4 and 5

4*5=20

Then just add the numerator

20+2=22

And bring it back over the denominator

22/5

There you go your improper fraction.

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

First, you must subtract $32 from $125. You end up with $93.

Usually, you would do 93 divided by 12, but 93 is not a multiple of 12.

96, which is 12 times 8, is the closest to 93, so 8 hours is the correct answer.

The solution is Option B.

The two right scalene triangles can be formed from the parallelogram B

A scalene triangle is a type of triangle with three different length sides and three interior angles that add up to 180 degrees. Scalene triangles have no equal of parallel sides , hence there is no line of symmetry. The interior angles of a scalene triangle can be acute , right or obtuse angles.

Given data ,

Let the parallelogram be represented as ABCD

Now , the figure ABCD represents a rectangle

So , the measures of angles ∠ABC = measure of angle ∠DCB = 90°

Let the diagonal of the rectangle be AC

The base of the rectangle = BC

The height of the rectangle = AB

So , the diagonal cuts the rectangle into two triangles each having different lengths and angles

And , the two triangles are ΔABC and ΔADC

Now , the triangles ΔABC and ΔADC are right scalene triangles

Hence , the triangles are scalene triangles

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Answer:

the perimeter is 58 inches

Step-by-step explanation:

15+8+9+14+12= 58

Let her daily allowance be RMy.

0.25y x 14 = 28

0.25y=2

y=8

Therefore, her daily allowance is RM8.

Answer:

[tex]x=8[/tex]

Step-by-step explanation: [tex]25[/tex]%[tex]\times14\times[/tex][tex]x=28[/tex]

Solve the equation

[tex]0.25\times14x=28[/tex]

Multiply the monomials

[tex]3.5x=28[/tex]

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{28}{3.5}[/tex]

Multiply both the numerator and denominator with the same integer

[tex]x=\frac{280}{35}[/tex]

Cross out the common factor

[tex]x=8[/tex]

I hope this helps you

:)

Answer:

324 people

Step-by-step explanation:

We can take 54% of 600 to find the answer to our problem.

54% becomes 0.54

600 * 0.54 = 324 people

Answer:

-8

Step-by-step explanation:

-32^3/5

Fifth root of 32 is 2.

Thus, 2^3 is 8, but -8 instead due to making 32 positive

Hope this helps!

Answer:

A, C D

Step-by-step explanation:

sorry if wrong

Answer:

150 people

Step-by-step explanation:

20/50 = 40%
So 40% are wearing hats and 60% aren't

0.6=60%

250x0.6= 150

The size of a crowd at a political rally which occupies a rectangular space with dimensions of 500 feet by 600 feet is 66667 persons.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The size of a crowd at a political rally that occupies a rectangular space with dimensions of 500 feet by 600 feet has to estimated.

First find out the area of this rectangular space using the above formula.

[tex]A=500\times600\\A=300000\rm\; ft^2[/tex]

As each person occupies 4.5 square feet. Thus, the number of person feet in, 300000 square ft are,

[tex]n=\dfrac{300000}{4.5}\\n\approx66667[/tex]

Thus, the size of a crowd at a political rally which occupies a rectangular space with dimensions of 500 feet by 600 feet is 66667 persons.

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We are given with a limit and we need to find it's value so let's start !!!!

[tex]{\quad \qquad \blacktriangleright \blacktriangleright \displaystyle \sf \lim_{x\to 4}\dfrac{\sqrt{x}-\sqrt{3\sqrt{x}-2}}{x^{2}-16}}[/tex]

But , before starting , let's recall an identity which is the main key to answer this question

Consider The limit ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{\sqrt{x}-\sqrt{3\sqrt{x}-2}}{x^{2}-16}}[/tex]

Now as directly putting the limit will lead to indeterminate form 0/0. So , Rationalizing the numerator i.e multiplying both numerator and denominator by the conjugate of numerator

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{\sqrt{x}-\sqrt{3\sqrt{x}-2}}{x^{2}-16}\times \dfrac{\sqrt{x}+\sqrt{3\sqrt{x}-2}}{\sqrt{x}+\sqrt{3\sqrt{x}-2}}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-\sqrt{3\sqrt{x}-2})(\sqrt{x}+\sqrt{3\sqrt{x}-2})}{(x^{2}-4^{2})(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

Using the above algebraic identity ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x})^{2}-(\sqrt{3\sqrt{x}-2})^{2}}{(x-4)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{x-(3\sqrt{x}-2)}{(x-4)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{x-3\sqrt{x}+2}{\{(\sqrt{x})^{2}-2^{2}\}(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{x-3\sqrt{x}-2}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

Now , here we need to eliminate (√x-2) from the denominator somehow , or the limit will again be indeterminate ,so if you think carefully as I thought after seeing the question i.e what if we add 4 and subtract 4 in numerator ? So let's try !

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{x-3\sqrt{x}-2+4-4}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(x-4)+2+4-3\sqrt{x}}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

Now , using the same above identity ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-2)(\sqrt{x}+2)+6-3\sqrt{x}}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-2)(\sqrt{x}+2)+3(2-\sqrt{x})}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

Now , take minus sign common in numerator from 2nd term , so that we can take (√x-2) common from both terms

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-2)(\sqrt{x}+2)-3(\sqrt{x}-2)}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

Now , take (√x-2) common in numerator ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-2)\{(\sqrt{x}+2)-3\}}{(\sqrt{x}-2)(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

Cancelling the radical that makes our limit again and again indeterminate ;

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{\cancel{(\sqrt{x}-2)}\{(\sqrt{x}+2)-3\}}{\cancel{(\sqrt{x}-2)}(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}+2-3)}{(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \lim_{x\to 4}\dfrac{(\sqrt{x}-1)}{(\sqrt{x}+2)(x+4)(\sqrt{x}+\sqrt{3\sqrt{x}-2})}}[/tex]

Now , putting the limit ;

[tex]{:\implies \quad \sf \dfrac{\sqrt{4}-1}{(\sqrt{4}+2)(4+4)(\sqrt{4}+\sqrt{3\sqrt{4}-2})}}[/tex]

[tex]{:\implies \quad \sf \dfrac{2-1}{(2+2)(4+4)(2+\sqrt{3\times 2-2})}}[/tex]

[tex]{:\implies \quad \sf \dfrac{1}{(4)(8)(2+\sqrt{6-2})}}[/tex]

[tex]{:\implies \quad \sf \dfrac{1}{(4)(8)(2+\sqrt{4})}}[/tex]

[tex]{:\implies \quad \sf \dfrac{1}{(4)(8)(2+2)}}[/tex]

[tex]{:\implies \quad \sf \dfrac{1}{(4)(8)(4)}}[/tex]

[tex]{:\implies \quad \sf \dfrac{1}{128}}[/tex]

[tex]{:\implies \quad \bf \therefore \underline{\underline{\displaystyle \bf \lim_{x\to 4}\dfrac{\sqrt{x}-\sqrt{3\sqrt{x}-2}}{x^{2}-16}=\dfrac{1}{128}}}}[/tex]

We can transform the limand into a proper rational expression by substitution.

Let y = √x. Then as x approaches 4, y will approach √4 = 2. So

[tex]\displaystyle \lim_{x\to4}\frac{\sqrt x - \sqrt{3 \sqrt x - 2}}{x^2 - 16} = \lim_{y\to2} \frac{y - \sqrt{3y-2}}{y^4 - 16}[/tex]

Now let z = √(3y - 2). Then as y approaches 2, z will approach √(3•2 - 2) = 2 as well. It follows that y = (z² + 2)/3, so that

[tex]\displaystyle \lim_{y\to2} \frac{y - \sqrt{3y-2}}{y^4-16} = \lim_{z\to2} \frac{\frac{z^2+2}3 - z}{\frac{(z^2+2)^4}{81}-16} \\\\ = \lim_{z\to2} \frac{27(z^2+2)-81z}{(z^2+2)^4 - 1296} \\\\ = 27 \lim_{z\to2} \frac{z^2 - 3z + 2}{z^8 + 8z^6 + 24z^4 + 32z^2 - 1280}[/tex]

Plugging z = 2 into the denominator returns a value of 0, which means z - 2 divides z⁸ + 8z⁶ + 24z⁴ + 32z² - 1280 exactly. Polynomial division shows that

[tex]\dfrac{z^8 + 8z^6 + 24z^4 + 32z^2 - 1280}{z-2} \\\\ = z^7+2z^6+12z^5+24z^4+72z^3+144z^2+320z+640[/tex]

and it's easy to see that the numerator is also divisible by z - 2, since

[tex]z^2 - 3z + 2 = (z - 1) (z - 2)[/tex]

So, we can eliminate the factor of z - 2 and we're left with

[tex]\displaystyle 27 \lim_{z\to2} \frac{z^2 - 3z + 2}{z^8 + 8z^6 + 24z^4 + 32z^2 - 1280} = 27 \lim_{z\to2}\frac{z-1}{z^7+\cdots+640}[/tex]

The remaining limand is continuous at z = 2, so we can evaluate the limit by direct substitution:

[tex]\displaystyle 27 \lim_{z\to2}\frac{z-1}{z^7+\cdots+640} = \frac{27}{3456} = \boxed{\frac1{128}}[/tex]

W=130

Step-by-step explanation:

the question giving says_W=130and if minus is crossing to the other side it becomes+

Answer:

x = e^12/100

Step-by-step explanation:

Solve for x over the real numbers:

10 ln(100 x) - 3 = 117

Add 3 to both sides:

10 ln(100 x) = 120

Divide both sides by 10:

ln(100 x) = 12

Cancel logarithms by taking exp of both sides:

100 x = e^12

Divide both sides by 100:

Answer:  x = e^12/100

Answer:

i believe 10/10 is just 1 so i think 3

Step-by-step explanation:

2 + 10/10 = 2 + 1

Answer:

I'm not so sure, but I think it's 3.

Step-by-step explanation:

10/10 is equal to one whole, 1.

So you rewrite the equation:

2 + 1 = 3.

I hope this helps!

Answer:

prop they're constant inchangeb

Step-by-step explanation:

Answer:The equation of a line is written as ​y=mx​+​b​, where the constant ​m​ is the slope of the line, and the ​b​ is the ​y​-intercept.

Step-by-step explanation:

Answer: I think it’s solid B

Step-by-step explanation:

solid B is easy to read and you can find carpet of those measurements a lot easier then solid A or C

y= 7- ( the length of candle decreased for 30 min)x

Answer:

Kayla

Step-by-step explanation:

To find who spend the least amount of time on homework per hour, divide the number of hours by the amount of homework

Kayla: 3.2 ÷ 4 = 0.8

Karen: 5 ÷ 6 = 0.833

Since Kayla's number is lower, that means she spent fewer hours per homework than Karen. This means Karen spent the least amount of time in hours per homework.

12% is the percent decrease

95,920 is 88% of 109,000.
x/100 = 95,920/109,000

95,920 x 100 = 9,592,000

9,592,000 / 109,000 = 88

100 - 88 = 12

Since it is 88% of it, it decreased by 12%

Answer:

12%decrese

Step-by-step explanation:

percentage decrease=13080/109000 ×100

=12% decrease

Mark me brainliest.

Answer:

34

Step-by-step explanation:

Polynomials are expressions. The factorized form of the polynomial is 5x⁴-80 is 5(x⁴-16).

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to factorize the given polynomial, we need to take the common terms out of the polynomial. Therefore, the polynomial can be written as

[tex]5x^4 - 80\\\\[/tex]

If we look at the polynomial the common term 5 can be taken out from both the terms, therefore,

[tex]5x^4 - 80\\\\= 5(x^4-16)[/tex]

Hence, the factorized form of the polynomial is 5x⁴-80 is 5(x⁴-16).

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Answer:  Annie sold 50 calendars

Step-by-step explanation:

45 * $1.20    = $54

34 * $1.50    = $51

$54 + $ 51   = $105

$150 - $105 = $45

$45 / $0.9   = 50       Therefore ,Annie sold 50 calendars

For the lines to be parallel the two angles need to be equal to each other:

128-x = x

Add 1x to both sides

128 = 2x

Divide both sides by 2:

X = 128/2

X = 64

Answer: x = 64

Answer:

(-2,-6) on point

Step-by-step explanation:

Mark me brainliest!!

Answer:

(2,-2)

Explanation:

vertex after translation:

original position + translation unit

( 2 , -6 ) + ( 0 , 4 )

( 2 , -2 )

note: vertically means only up and down, there is will change in y not x.

Answer: 30° and 110°

55° and 85°

70° and 70°

The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:

= 180° - 40°

= 140°

Therefore,

30° + 110° = 140°

55° + 85° = 140°

70° + 70° = 140°