What is the coefficient in the scientific notation 9.6 x 10-8? 9.6 8 10​

Answer:

The area of the surface over R is \(\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}\)

Step-by-step explanation:

From this study,

The surface area of f(x,y) is expressed by:

\(A = \iint_R \sqrt{1 +f^2_x+f^2_y}} \ dA\)

where

\(0 \leq x \leq 2 \ and \ 0 \leq y \leq 2\)

Given that:

f(x,y) = 9 - x²

Thus, \(f_x = -2x\) and   \(f_y = 0\)

However, the area becomes:

\(A = \iint_R \sqrt{1+(-2x)^2+0^2} \ dxdy\)

\(A = \iint_R \sqrt{1+4x^2} \ dxdy\)

From above, replacing x with \(\dfrac{1}{2} \ tan \ u\)

then \(dx = \dfrac{1}{2} sec^2 \ udu\)

∴

\(\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint \sqrt{1 + 4u^2 } \ sec^2 \ udu\)

\(\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} \iint sec^2 \ udu\)

\(\sqrt{1 + 4x^2 } \ dA= \dfrac{1}{2} ( \sqrt{4x^2 + 1x} + \dfrac{1}{2} In \sqrt{4x^2 + 1}+2x)\)

Hence;

\(\mathsf{A = \int \limits ^2_0 \begin {bmatrix} \dfrac{1}{2}(\sqrt{4x^2 +1 x}+ \dfrac{1}{2} In ( \sqrt{4x^2+1}+2x \end {bmatrix}^2_0 \ dy}\)

\(\mathbf{A = 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}\)

Therefore, the area of the surface over R is \(\mathbf{ 2 \sqrt{17} + \dfrac{1}{2} \ In ( \sqrt{17} +4)}\)

Answer:

angel 2

Step-by-step explanation:

Angle 2 corresponds to angle 6.

Answer:

D

Step-by-step explanation:

D goes thru positive 4 and negative 3

Answer:

$1489.10

Step-by-step explanation:

1668.93 x 0.07 - 65

Tax = 116.83

1668.93 - 116.83 - 63

Answer = $1489.10

Answer:

25.75° degrees

Step-by-step explanation:

Complementary angles are two angles that add to 90 degrees. This means that the complementary angle to 64.25 would be:

90 - 64.25

= 25.75°

Answer:

288 ft³

Step-by-step explanation:

Volume of the pyramid,

base area × height × (1/3)

= (9×8)×12/3

= 72×4

= 288 ft³

Hey there!

2/3 + 1/4
= 2 × 4/3 × 4 + 1 × 3/4 × 3

= 8/12 + 3/12

= 8 + 3 / 12 + 0

= 8 + 3 / 12

= 11/12

Therefore, your answer is: 11/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%

The percentage of a data set is when part of the data is represented per 100 with a symbol of %.

It was stated in the question that 80% of Americans report being afflicted by stress.

Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.

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Answer:

s - 37 = 73

Step-by-step explanation:

We already have the end result which is 73.

We also know that the sale on Sunday is $37 less than Saturday's sales. This means we'll need to take away the 37 from s (Saturday).

Answer:

p = -5

Step-by-step explanation:

4p-7p=15

-3p=15

/-3   /-3

p= -5

Answer:75% ; 50%

Step-by-step explanation:

The measure of arc angle QTP is 204 degrees.

When a tangent and a secant intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

Therefore, let's find the measure of arc angle QTP as follows:

90 = 0.5(x - 68)

90 = 0.5x - 34

0.5x = 124

x = 124 / 0.5

x = 248 degrees

Where

x = arc angle TSQ

Therefore,

arc QP = 44 degrees

Therefore,

arc QTP = 248 - 44

arc QTP = 204 degrees

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The balloon vertical distance above the ground to the nearest tenth is 254.4 feet.  

The situation forms a right-angle triangle.

Therefore,  the horizontal distance from the landmark to the balloon is the adjacent side. The balloon vertical distance above the ground is the opposite side of the triangle.

Using trigonometric ratios,

tan 20° = opposite / adjacent

tan 20° = h / 699

cross multiply

h = 699 × tan 20°

h = 699 × 0.36397023426

h = 254.415193752

h = 254.4 feet

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The equation is:

180 + 6x = 160 + 8x

Number of visits = 10

Let the number of visits be x

Sign up fee for Selena Gomez = $180

Charge per visit for selena Gomez = $6

Total amount spent by Selena Gomez = 180 + 6x

Sign up fee for Demi Lovato = $160

Charge pervisit for Demi Lovato = $8

Total amount of money spent by Demi Lovato = 160 + 8x

If the spent the same amount:

Total amount spent by Selena Gomez = Total amount of money spent by Demi Lovato

The equation is:

180 + 6x = 160 + 8x

To know the number of visits they would have made to spend the same amount, we have to solve the above equation and get the value of x

180 - 160 = 8x - 6x

20 = 2x

20 / 2 = x

x = 10

They will make 10 visits

Answer:

$1625

Step-by-step explanation:

Answer:

1495

Step-by-step explanation:

2*1.15*650

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

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The expression without absolute value bars is 3.84.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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Answer: y = x + 4

Step-by-step explanation:

y = mx + b

y is going up by 1 and x is going up by 4.

so y = x + 4.

to check if it's the correct answer plug in one of the numbers to x and y.

for example:

y = x + 4

2 = -2 + 4

Answer:

(1.5, 0.5)

Step-by-step explanation:

(5, 3) and (-2, -2)

5 - 2 / 2 = 1.5

-2 + 3 / 2 = 0.5

The equation of the regression line is y = 4 + x and the regression analysis of the given data need not be done.

Straight line equation is y = a + bx.

The normal equations are

∑y = a·n + b ∑x ∑ xy = a ∑x + b∑x² Hence the regression analysis of the data :

The values are calculated using the following table

x y x²             x⋅y

58 62 3364 3596

47 51 2209 2397

84 88 7056 7392

62 66 3844 4092

57 61 3249 3477

72 76 5184 5472

69 73 4761 5037

hence :

∑x = 449

∑y = 477

∑x² = 29667

∑x⋅y = 31463

Substituting these values in the normal equations

7a+449b=477

449a+29667b=31463

Solving these two equations using Elimination method,

7a+449b=477

and 449a+29667b=31463

7a+449b=477→(1)

449a+29667b=31463→(2)

equation(1)×449

⇒3143a+201601b=214173

equation(2)×7

⇒3143a+207669b=220241

Substracting

⇒-6068b = -6068

⇒6068b = 6068

⇒b = 1

Putting b = 1 in equation (1), we have

7a+449(1) = 477

⇒7a = 477  - 449

⇒7a = 28 or a  = 4.

Now Estimate y for x=50

y = a + bx , we get

y = 4 + 1×50

y = 4 + 50

y = 54

At x equals 50 we get the value of y as 54 .

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Answer:

100

Step-by-step explanation:

triangles are equal to 180 degrees so in the one triangle 180-50-50=80 so that missing angel is 80 and then to creat a straight line between the missing angle m<1 and the 80 you subtract the two 180-80=100 leaving the missing angle to be 100

The required value of trigonometric ratios is,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

We know that,

Trigonometric ratios are based on the value of the ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.

Therefore,

sin 45° = 1/\(\sqrt{2}\)

cos 30 = \(\sqrt{3}\)/2

tan 60 = 1/  √3

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Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

The length of the segment HI is 32.9

The Circle identities refer to a set of fundamental identities in trigonometry that relate to the some trigonometric functions of an angle in a right-angled triangle.

We know that the equation or formula of secant-tangent;

HI² = KI × JI

Given values:

KI = KJ + JI

KI = 21 + 24 = 45

JI = 24

put the all values in the secant-tangent equation above,

HI² = 45 × 24

HI² = 1080

Take the square root of both sides

HI = 32.9

Hence, the length of the segment HI is 32.9

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Question figure-

Answer:

48,000

Step-by-step explanation:

Answer:

  x = 10

Step-by-step explanation:

You want the value of x that satisfies x -(x-1)/3 -(2x-5)/5 +(x+8)/6 = 7.

The least common denominator is 5·6 = 30, so we can eliminate the fractions by multiplying by 30:

  30x -10(x -1) -6(2x -5) +5(x +8) = 7·30

  30x -10x +10 -12x +30 +5x +40 = 210 . . . . . eliminate parentheses

  13x +80 = 210 . . . . . . . . . collect terms

  13x = 130 . . . . . . . . . . subtract 80

  x = 10 . . . . . . . . . . divide by 13

__

Additional comment

Often an equation can be nicely solved by a graphing calculator. We like to write the equation in the form f(x) = 0, and look for the x-intercepts. Those are usually labeled by the calculator. Here that rewrite is accomplished by subtracting 7 from both sides.

Answer:

Step-by-step explanation:

radius = √75 = 5√3 ≅ 8.66 units

J = 0 because it is the midpoint of K and P.

Since we know that K is at -5 and P is at 5, KP = 10

Both KP and JQ are equal to 10, therefore, they are equal.

Answer:

14. j=0

15. KP=10

16. yes

Step-by-step explanation:

(The two letters next to each other means that the question is asking for the distance between the points. For example, KP is the distance from K to P, or P to K.)

14.:

If P is the midpoint of J and Q, that means that there is an equal distance between Q and P and J and Q. So, you can see this because

Q-P=5 and 5*2= J

So the distance from J to Q is 10, but to find what J is, subtract the distance from Q, leaving you with 0. So, J=0.

15.:

Since each line represents 5 and the distance from -5 to 5 is 10, KP = 10.

16.:

Since KP = 10 and JQ = 10, then yes, they are the same.

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