d²y dx² A curve has an equation which satisfies curve, and the gradient of the curve at the point P is 9. Determine the equation of the curve. Working out: = 6x-4. The point P (2, 11) lies on the​

Based on the number, 98.48, the number you need to multiply by to get rid of the decimal is 100.

The number that you multiply a number with if you want to remove the decimal has to be a power of 10. The power of 10 used will depend on the number of figures after the decimal.

If there is a single number after the decimal point, then multiply by 10.

If there are two numbers after the decimal point, multiply by 100.

If there are three numbers after the decimal point, multiply by 1,000.

In the case of 98.48, there are two number after the decimal point so you'll multiply by 100 to get:

= 98.48 x 100

= 9,848

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Answer:

О   [tex]\frac{5^{4} }{3^{10} }[/tex]

Step-by-step explanation:

(5⁻² * 3⁵) ⁻²

= 1 / (5⁻² * 3⁵)²

= 1 / ((5⁻²ˣ²)(3⁵ˣ²))

= 1 / ((5⁻⁴)(3¹⁰))

= 5⁴ / 3¹⁰

Properties of pure substances:

Properties of mixtures:

Pure substances:

Each homogenous mixture contains only pure substances. No matter how tiny the sample size, these chemicals primarily have a stable or comparable composition throughout. Water, steel, and iron are a few examples of pure materials.

Mixtures:

In chemistry, a mixture is a compound made up of two or more simpler substances. These substances may be chemical elements or compounds. You can create a mixture of gases, solids, or liquids. For instance, when sugar is added to water, it first forms a mixture before dissolving to produce a solution.

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Answer:

Rent-A-Truck-> 59.95+0.49m=c

Sam's U-Drive-> 81+0.38m=c

The portions of 8 ¾ ounces that can be made from a boneless roast weighing 28 pounds is 51.2 portions.

1 pound = 16 ounces

Therefore, 28 pounds will be:

= 28 × 16

= 448. ounces

Therefore the number of portions will be:

= 448 / 8 3/4

= 448 / 8.75

= 51.2 portions

Therefore, the portions of 8 ¾ ounces that can be made from a boneless roast weighing 28 pounds is 51.2 portions.

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Answer:

) What is the value of x in the following simplification problem?

45% of 600 + x% of 480 = 390. A/ 30

B/ 20

C/ 25

D/ 40

40) The s

Answer:

2 is divisible by 1 and all even numbers are divisible by 2 so that means 4 but 2 is not divisible by 8 and 9 is not divisible by 2 but 1 is.

5 is not divisible by 4. 5 is divisible by 5, 5 is not divisible by 8, 9 is not divisible by 5, 1 is not divisible by 5.

10 is divisible by 1, 4 is not, 5 is not, 8 is not, 9 is not divisible by 10 but 1 is.

Answer:

Substitute d=25 to the formula and use a calculator to evaluate: s=18(25 s=450 s~21,2132... Truncated to the tenths place, we have: s~21.2 miles per hour.

Step-by-step explanation:

Answer:

Here is your answer: 36 Now create an equation using the values below:A =0 B=1C=2D=3E=4F=5G=6H=7K=8L=9M=10N=11

example: If the answer is 12, there are several possible equations:

2D+G=12 , 2(3)+6=12

4C+H-D , 4(2)+ 7-3

  D(2C) , 3(2 x 2)

Step-by-step explanation:

Answer:

  l(k +g +f +d +c -h -b -a)(n -m)/e = 36

Step-by-step explanation:

You want to use the numbers 0 through 11 to create an equation that evaluates to 36.

We will create an equation that simplifies to 4×9 = 36. This will make use of the identity properties of multiplication and addition, and will use the fact that 16/4 = 4.

9 = 9×1 = 9×(11 -10) = l(n-m)

0 = 8 -8 = (8 -7 -1 - 0) = k -h -b -a

16 = 8 +8 = 6 +5 +3 +2 = g +f +d +c

Then the whole expression becomes ...

  (16 +0)/4×9 = (g +f +d +c +k -h -b -a)/e×l(n -m) = 36

Side length of the base of the bed is √2.

A square is a plane shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).

The bed's base will be square.

An area of 2 square meters.

So, the area A=a2 is 2=a2

So, the area of square is √2

Therefore, Side length of the base of the bed is √2

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The measure of the angle is 72°, its supplement is 108° and its compliment is 18° .

A pair of supplementary angles is defined as two angles which add up to 180°. They are also called linear pair.

A pair of angles which add up to 90° is called complimentary angles.

let us consider the given angle be x .

Compliment of given angle=90°- x

Supplement of the given angle=180°-x

The supplement is 6 times the compliment .

Therefore we can construct a linear equation of the form:

6(90°- x)=180°-x

or, 540°-6x=180-x

or, -6x+x=180-540

or, -5x=-360

or, x=72

Hence the angle is 72°

Compliment of 72°=90°-72°=18°

Supplement of 72°=180°-72°=108°

Therefore the required angle is 72°, its supplement is 108° and its compliment is 18° .

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The length and width of the screen is 9.71 inch and 12.71 inch.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles.

Area of triangle = Length * Width

Let L be the length and W be the width of the rectangle.

Now it is given that,

Dimensions of a rectangular monitor screen are, its length is 3 in. more than its width.

⇒ L + 3 = W  

Therefore area is given as,

A = L * W

Put the value of W we get,

A = L * (L + 3)

Now, If the length were doubled and if the width were decreased by 1 in, the area would be increased by 104 in^2

Length = 2L

Width = W - 1

Thus area becomes,

A' = 2L(W - 1)

Now, the area would be increased by 104 in^2

A' = A + 104

Putting the value of A in A' we get,

A' = L * (L + 3) + 104

Now putting the value of A' we get,

2L(W - 1) = L * (L + 3) + 104

Expanding we get,

2LW - 2L = L^2 + 3L + 104

Since L + 3 = W  

Thus, putting W in above we get,

2L(L + 3) - 2L = L^2 + 3L + 104

Expanding the brackets we get,

2L^2 + 6L - 2L = L^2 + 3L + 104

Solving we get,

2L^2 + 4L = L^2 + 3L + 104

Taking all the terms together we get,

2L^2 + 4L - L^2 - 3L - 104 = 0

Solving alike terms we get,

L^2 + L - 104 = 0

Solving the above equation we get,

L = 9.71 inch, -10.71 inch

Since, Length cannot be negative

Thus,

L = 9.71 inch

Put the value of L in W we get,

9.71 + 3 = W  

⇒ W = 12.71 inch

Thus the required value of length and width is,

Length = 9.71 inch

Width = 12.71 inch

Thus, the length and width of the screen is 9.71 inch and 12.71 inch.

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Answer:

[tex]a = 4[/tex]

[tex]b = - 2[/tex]

Step-by-step explanation:

See the attached image above for explanation.

Answer:

distance = 13

Step-by-step explanation:

The formula used to calculate the distance between two points given their coordinates is:

[tex]\boxed{\mathrm{distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}[/tex],

where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the given coordinates.

In this question, we are given the coordinates (8, -4) and (3, 8).

Using these coordinates and the formula above, we can calculate the distance between the points:

[tex]\mathrm{distance = \sqrt{(3 - 8)^2 + (8- (-4))^2}}[/tex]

             [tex]= \sqrt{(-5)^2+(12)^2}[/tex]

             [tex]= \sqrt{25 + 144}[/tex]

             [tex]= \sqrt{169}[/tex]

             [tex]= \bf 13[/tex]

Therefore, the distance between the two points is 13 units.

Answer:

Step-by-step explanation:

64 / 0.16 = 400 square cm

For t = 0.8 seconds and t = 7 seconds, the height of the rocket will be 28 m.

We are given that:

Initial velocity of the rocket = 39 m / s

Time = t seconds

h = 28 m

The equation of relationship between height and time is given as:

h = 39 t- 5 t²

Substituting the value of h is the equation, we get that:

28 = 39 t - 5 t²

5 t² - 39 t + 28 = 0

Using middle term splitting to find the values of t, we get that:

5 t² - 35 t - 4 t + 28 = 0

5 t ( t - 7 ) - 4 ( t - 7 ) = 0

(5 t - 4 ) ( t - 7 ) = 0

5 t - 4 = 0 and t - 7 = 0

5 t = 4 and t = 7

t = 0.8 and t = 7.

Therefore, for t = 0.8 seconds and t = 7 seconds, the height of the rocket will be 28 m.

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Your question was incomplete. Please refer the content below:

A model rocket is launched with an initial upward velocity of 39 m/s. The rocket's height (in meters) after t seconds is given by the following.

h = 39 t- 5 t²

Find all values of t for which the rocket's height is 28 meters. Round your answer(s) to the nearest hundredth.

Answer:

1/4

32%

0.4

Step-by-step:

1/4 = 0.25

32 = 0.33

0.4 = 0.40

The relative frequency table is given at the end of the question.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

For this problem, we have that out of 150 people, 40 and currently employed and 110 are not, hence the relative frequencies are given as follows:

Of those 40 currently employed, 12 are looking for jobs and 28 are not, hence the relative frequencies are given as follows:

Of those 110 that are not currently employed, 38 are are looking for jobs and 72 are not, hence the relative frequencies are given as follows:

Hence the frequency table is given at the end of the question.

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Answer:

In the expression

[tex] {x}^{2} - 11x + 10[/tex]

a in the formula will be substituted for 1

b in the formula will be substituted for -11

c in the formula will be substituted for 10

Carl is outworked by Theresa in a given year.

What is work?

According to physics a push or pull in any substance which produces any displacement is called work. Activity in which one exerts strength or perform something or an activity that a person engages in regularly to earn a livelihood people looking for work.

Given:

Working day of Theresa/month=16

Working day of Carl/ month=20

Distance covered by Theresa in month= 56 miles round trip

Distance covered by Carl in month=56 miles round trip

Calculation

Distance covered by Theresa in month=56*2

Distance traveled by Theresa in a year=112*12

Distance traveled by Theresa in a year=1344 miles

Distance covered by Carl in month=112 miles

Distance traveled by carl in a year=112*11

Distance traveled by carl in a year=1232 miles

As the distance covered by Theresa is more than carl.

So Theresa travel more distance.

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Using the mathematical operation of multiplication, the value, 58000Thousands = 58 million.

Mathematical operations are the ways mathematical expressions and values can be manipulated.

The basic mathematical operations include addition, subtraction, division, and multiplication.

58000Thousands converted into millions

= 58,000,000 (58,000 x 1000)

= 58 million

Thus, using the mathematical operation of multiplication, the value, 58000Thousands = 58 million.

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(a) The value of f(83) is 5.

(b) It may or may not happen.

(c) The value of f(95) is 9.

Here, the height of the bar gives the marks at that particular point.

From the observations we can see,

(a) The interval 80-85 marks is point at the mark of 5. It means that there are 5 students who has scored in the interval of 80-85.

So, as are function is the exam score to the height of the bar whose interval contains that score.

Hereby, our value of f(83) will be equal to 5.

f(83) = 5.

(b) As, the marks are distributed over an interval. It can't be said that if any students scored exactly 83 marks or not. But the conclusion that we can draw is, that these 5 particular students have scored between 80-85 for sure.  

(c) The value of f(95) is equal to 9. as we can see that the interval is distributed in such a way that a group of five students is formed. and the last part of the interval is not included in the next interval. The interval here forms a pattern like this,

91-95, after that 96-100.

So here the value of f(95) will be 9.

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Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vvvvЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать vvvvЯ люблю тебя так сильно, что не знаю, как это сделать vvЯ люблю тебя так сильно, что не знаю, как это сделать Я люблю тебя так сильно, что не знаю, как это сделать      

=3

For the given function, the value of h(t)=\t+2\+3 is for f(6) = 7

A function is a means to explain what takes place with an input variable to produce an output result. We may find a set of output values if we consider a straightforward function, like multiply by three. Algebra can be used in place of Function = multiply by 3.

Before the t and after the 2, I'm going to presume that's an absolute value sign.

Absolute value brackets are treated similarly to parentheses, with the exception that the negative sign is removed once the contents have been thoroughly simplified. (If you still have variables, don't do that.)

In this instance, t equals 6 plus 2 equals 8. 8 has an absolute value of 8. Add 3 is 11.

so,

h(6) = 11.

2 + -6 equals -4. 4 is -4's absolute value. Add 3 is 7.

so,

h(-6) is 7.

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Using the hypergeometric distribution, the probabilities are given as follows:

a) 0.034 = 3.4%.

b) 0.665 = 66.5%.

c) 0.3352 = 33.5%.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, the parameters are given as follows:

N = 1100, k = 203, n = 2.

In item a, the probability is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,1100,2,203) = \frac{C_{203,2}C_{897,0}}{C_{1100,2}} = 0.034[/tex]

For item b, the probability is P(X = 0), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,1100,2,203) = \frac{C_{203,0}C_{897,2}}{C_{1100,2}} = 0.665[/tex]

For item c, the probability is:

P(X >= 0) = 1 - P(X = 0) = 1 - 0.665 = 0.335.

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The location of  17/10 on the number line is given below .

Small marks along the line represent the next highest or next lowest number. In most cases, the small marks are one count apart. There is no problem. The arrows at the ends of the number line mean infinite left and right movement, just like numbers move infinitely.

The fraction 17/10 is equals 1.7 .

Also note that minus 17/10 is the same distance from 0, but to the left of 0 instead of to the right.

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The value of B is -7 and no decimal number.

So, in the sequence:

We can easily say that the value of B will be -7 and no decimal number.

So,

Therefore, the value of B is -7, and no decimal number.

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Work Shown:

(4 miles)/(30 minutes) = (x miles)/(48 minutes)

4/30 = x/48

4*48 = 30x

30x = 4*48

x = 4*48/30

x = 6.4