1. Turn this standard notation 25,000,000 into scientific notation.

You can write as [tex]2 \sqrt{5} {x}^{2}[/tex] or [tex]\boxed{2 {x}^{2} \sqrt{5}} [/tex]

Step-by-step explanation:

Find product of the groups,

[tex] \sqrt{2 {x}^{3} \: . \: 10x}[/tex]

Regrouping,

[tex] \sqrt{2{x}^{3 + 1} \: . \: 10 } [/tex]

Multiplying,

[tex] \sqrt{20 {x}^{3 + 1} } [/tex]

Add constants,

[tex] \sqrt{20 {x}^{4} } [/tex]

Rewrite 20 as 4 • 5,

[tex] \sqrt{4 \: . \: 5 {x}^{4} } [/tex]

Rewrite 4 as 2² ,

[tex] \sqrt{ {2}^{2} \: . \: 5 {x}^{4} } [/tex]

Using radical rules,

[tex] \sqrt{ {2}^{2} } \sqrt{x} \sqrt{5} [/tex]

Reduce root and power,

→ [tex] \underline {2 {x}^{2} \sqrt{5}} [/tex]

The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.

A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).

The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.

Explanation:

The requested ratio is[tex]\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\][/tex]

Using the formula for a geometric series, we have[tex]\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\][/tex]

which is very close to [tex]$\dfrac{10^{10}}{9},$[/tex] so the ratio is very close to 9.

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Answer:

589

Step-by-step explanation:

to find the area of a rectangle it is length x width

19 is your length

31 is your width

19 x 31 = 589

be sure that in your final answer you put in your units (e.g.[tex]cm^{2}[/tex] )

hoped this helped xx

The correct answer is 28.8.

Everything is stated as though it were a fraction of a hundred in terms of quantity. The ratio can be expressed as a quarter of one hundred. The word "percent" denotes a percentage of 100. It is represented by the '%' symbol.

120 cupcakes were sold by a bakery in a single day, with 45% of them having a chocolate flavour.

The total quantity of chocolate-flavoured cupcakes served on that particular day will then be

Let x represent how many chocolate-flavoured cupcakes were sold on that particular day.

x = 24% of 120

x = 0.24 × 120

x = 28.8

Consequently, the quantity of chocolate-flavoured cupcakes sold that day will be 28.8.

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Answer:

G(x)=-9 when x=5

Step-by-step explanation:

Replace X with 5

3x -x^2+1 becomes 3*5-5^2+1

Then solve

15-25+1=-9

Answer:

S / 2πh

Explanation:

2πrh are all multiplied together to make S, so in order to isolate the r, we need to divide (the opposite operation of multiplication) 2πh from both sides.

Answer:

4.95

Step-by-step explanation:

espero que te ayude

As per question, let us assume [tex]t(j)[/tex] denotes the time that it took Tejay van garteren to ride the [tex]jth[/tex] stage of the tour de France in [tex]2014[/tex].

Now, let us assume [tex]t(1)[/tex] is the complete time for the first stage;  [tex]t(2)[/tex] is the complete time for the second stage;  [tex]t(3)[/tex] is the complete time for the third stage and so on.

Therefore, the total time of [tex]21[/tex] stages can be written as:

                     ∑[tex]t(j)[/tex]= [tex]t(1)+t(2)+t(3)+..................+t(21)[/tex]  [tex]; j=[1,2,3....21][/tex]

The above expression represents the total time for Tejay van garteren took to finish the ride.

Therefore,  ∑[tex]t(j)[/tex] [tex]; j=[1,2,3....21][/tex] is the total time for Tejay van garteren took to finish the ride.

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Answer:

C. 5n+7

You're buying 5 shirts, so that'll be 5n and there's a 7 dollar tax which means we add on the 7 dollar tax. So it's C. 5n+7

The submarine can descend to a maximum depth of 780 feet.

Let x be the maximum depth.

It is now 650 feet below sea level after descending the depths above.

Thus;

Therefore, the submarine can descend to a maximum depth of 780 feet.

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We are to calculate the value of 4p. The value of 4p will be π / 4.

Let's give the numbers we get from the calculator the names x and y. Independent random variables with a uniform[0,1] distribution are x and y.

Let's take notice that since x and y are both between 0 and 1, 1 is the triangle's longest side.

Let's start by interpreting geometry. If the triangle were a rectangle, the side with length 1 would be the hypotenuse, and x and y would then need to meet the following criteria:

x²+y² = 1

Keep in mind that we are supposing the triangle to be a rectangle in this instance. However, the task requires us to create an acute triangle.

To do that, we must widen the angle formed by the sides of length x and y. We can do that by 'growing' the triangle, but if we do so while maintaining the x and y values, the length of side 1 should rise, which is not what we want.

Therefore, if we enlarge the triangle, we should likewise decrease the value of x and/or y so that the length of the first side may be maintained. This insight allowed us to conclude that

x²+y² < 1

Let's now employ a more mathematical strategy. The Cosine Theorem states that a triangle with three sides of length a, b, and c is satisfying.

A2 is equal to b2+c2 - 2bc* cos(), where is the angle formed by the lengths of b and c's sides.

The result of applying this formula to our triangle is that

[tex]1+x^{2} +y^{2} - 2bc * cos\alpha[/tex] , where aplha is the angle between x and y.

Let's call the figures we obtain from the calculator x and y. X and Y are independent random variables with uniform[0,1] distribution.

Consequently, we must ascertain P(x2+y2 1). This likelihood may be calculated using integration. You need polar coordinates.

(X, Y) = (r*cos, r*sen), where r is an integer between 0 and 1, and (that way, the numbers are positive).

Because the Jacobian matrix has determinant r, X2 + Y2 = 1.

On integrating, we get out answer as π / 4

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Answer:

What's the question?

Step-by-step explanation:

Answer:

8.

Step-by-step explanation:

Using Order of operations PEMDAS.

Arithmetic operations are done in the following order:

Parentheses, Exponents, Multiply, Divide, Add, Subtract.

So, we have:

-18 - 7(-10 + 8) + 12

= -18 - 7 * -2 + 12

= -18 + 14 + 12

= -4 + 12

= 8.

In function  , 12 is the value of)f(6).

What does a math function mean?

f(1) = 2 and f(n) = f(n -1) + 2

f(1) = 2

f(2) = f(2 - 1) + 2 = f(1) + 2 = 2 + 2 = 4

f(3) = f(3 - 1) + 2 = f(2) + 2 = 4 + 2 = 6

f(4) = f(4 - 1) + 2 = f(3) + 2 = 6 + 2 = 8

f(5) = f(5 - 1) + 2 = f(4) + 2 = 8 + 2 = 10

f(6) = f(6 - 1) + 2 = f(5) + 2 = 10 + 2 = 12

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We get the length of AB as 7.37 pi units

We are given that:

AB || CD

AD = 36 cm

AD is the diameter of the circle.

So, we get that

1 / 2 AD = Radius (r)

r = 36 / 2 cm = 18 cm

Now, we are also given that:

∠ BAD = 50°

Since  AD  is a diameter, we get that:

ABD will form a right triangle with ∠ ABD  = 90°

∠ ADB   = 40° ( Angle sum property)

AB will be:

sin (40)  = AB  / 36

AB  = 36 * sin (40) = 23.140353948732  

AB ≈ 7.37 pi units

Therefore, we get the length of AB as 7.37 pi units

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Answer:

1.) q less than a number m times 7 is equal to 23

2.) 3 times a number g plus 8 is equal to 10 less than a number h times 4

3.) 6 more than a number k times 9 is equal to 54

4.) a number f times 7 less than a number of d squared times 6 is equal to a number d times 8 more than a number f squared

5.) a number g times 3 is equal to 45

(I might be wrong, so try to read the equations out loud to see if you agree)

The maximum possible value for 'h' = 6 for the given set of system of inequalities.

For the given set of inequalities;

y ≤ 1/2x - 5

y ≥ 3x - 20

Equation both equation;

(1/2)x - 5 = 3x - 20

x - 10 = 6x - 40

Further simplifying;

-5x = -30

x = 6

Thus, the maximum possible value for 'h' is same as the value find for the x = 6; as h also represents the point on the x-axis.

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It should be noted that angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

Also, the correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

70x = 140

x = 140/70

x = 2

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.

m∠1=(30x−30)∘, m∠5=(40x+70)∘

Alt. Int. ∠s Thm.

m∠1 = 30°, m∠5 = 150°

Alt. Int. ∠s Thm.

m∠1 = 30°, m∠5 = 30°

Same-Side Int. ∠s Thm.

m∠1 = 30°, m∠5 = 150°

Same-Side Int. ∠s Thm.

m∠1 = 150°, m∠5 = 30°

Using a system of equations, it is found that there were 3 associates and 5 partners assigned to the case.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

The firm assigned a total of 8 lawyers to the case, hence:

x + y = 8

x = 8 - y.

The firm was able to charge the client $6500 per day for these lawyers' services, hence, considering the costs:

500x + 1000y = 6500.

Since x = 8 - y, we have that:

500(8 - y) + 1000y = 6500.

500y = 2500

y = 5.

x = 8 - 5 = 3.

The firm assigned 3 associates and 5 partners to the case.

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Answer: 102

Step-by-step explanation:

[tex]x=-2\ \ \ \ \ y=4\\\\8x^2-xy+y^2-xy^2+14=\\\\8(-2)^2-(-2)(4)+(4)^2-(-2)(4)^2+14=\\\\8(-2)(-2)-(-8)+(4)(4)-(-2)(4)(4)+14=\\\\32+8+16+32+14=\\\\102[/tex]

Answer:

The value of x is 7°

Step-by-step explanation:

<A C D = ∠ A D B ( 6 x − 4 ) ° +∠ B D C ( 4 x +24 )

Now,

<A D B + < B D C = 90 °

( Being sum of complementary angle is 90°)

( 6 x − 4 ) + (4x + 24)= 90°

6x-4+4x+24=90°

6x+4x-4+24=90°

10x+20=90°

10x=90-20

10x=70

x=70/10

x=7

Answer: Coordinate (1,-3) and m = 3/4

Step-by-step explanation:

(i) - So context, the equation is y + 3 = 3/4(x - 1)

Answer:

Step-by-step explanation:

The last option

This is because we are going to multiply in order. The -6 is only in parenthesis because its a negative number. this means we are multiplying 2 x 4 , then multiplying that answer by -6.

Hope this helps! ^^

Answer:

Step-by-step explanation:

Answer:

There isnt any info about the question there isnt any numbers

Step-by-step explanation:

Answer:

Letting r be the rate of speed in hours, we have d = rh.

Answer:

if (23)n=(1111)2find the base n

The actual height of the library is 36 feet.

Given a scale of 1/3 inch = 1 foot

therefore, 1 inch = 3 feet

then, 12 inches = 12 × 3

36 inches.

therefore the actual height of the library is:

12 × 36

= 432 inches

= 36 feet.

It is obvious which dimension is intended when a rectangle is drawn with both horizontal and vertical sides when the term height is used; height designates how high (or how tall) the rectangle is. As a result, using the word width to describe the other dimension—the width of the rectangle from side to side—is simple. As long as there is no ambiguity, it is also appropriate to refer to the side-to-side measurement as the rectangle's length if it is bigger than its height.

hence we get the height of the library as 36 feet.

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Using a linear function, we have that:

A linear function is modeled by:

y = mx + b

In which:

For the cost function, we have that:

Hence the function is:

C(x) = 29 + 1.41x.

The recommended monthly bill for a household is between $54 and $82 dollars per month, hence the inequality is given by:

54 ≤ C(x) ≤ 82.

The bounds of the range will be found as follows:

29 + 1.41x = 54

x = (54 - 29)/1.41

x = 17.7.

29 + 1.41x = 82

x = (82 - 29)/1.41

x = 37.6.

Hence the correct option is:

To stay within the range, the usage should be between 17.7 and 37.6 HCF.

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15/56 is the probability that one marble is red and two are blue.

RBB, BRB, and BBR are the three possible ways to draw two blue marbles and one red marble. These are separate scenarios because there are no overlapping outcomes, and their sum is the overall likelihood that two of the three drawn cards will be blue. Therefore, the desired probability is

(10/16)(6/15)(5/14) + (6/16)(10/15)(5/14) + (6/16)(5/15)(10/14) = 15/56

Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only forecast how likely an event is to occur using it, or how likely it is to occur. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Probability is an important subject for Class 10 students because it teaches all of the subject's essential concepts. Every event's probability in a sample space is one.

For instance, when we flip a coin, there are just two possible results: Head OR Tail (H, T). But if we throw two coins into the air, there are three possible outcomes: either both show heads, either show tails, or one shows heads and one tails, i.e. (H, H), (H, T), or none of the three (T, T).

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