Write the following number in the standard form b) 13450000000

Answer:

[tex]T_{10} - T_7 = 112[/tex]

Step-by-step explanation:

Given

[tex]T_9 = 63[/tex]

Required

Find [tex]T_{10} - T_7[/tex]

From the question, we have that:

Each sequence = 2 * Previous sequence + 1;

i.e.

[tex]T_n = 2 * T_{n - 1} + 1[/tex]

Considering the 9th sequence;

[tex]T_9 = 2 * T_8 + 1[/tex] ------ Equation 1

Considering the 8th sequence;

[tex]T_8 = 2 * T_7 + 1[/tex]

Substitute [tex]2 * T_7 + 1[/tex] for [tex]T_8[/tex] in equation 1

[tex]T_9 = 2 * T_8 + 1[/tex] becomes

[tex]T_9 = 2 * (2 * T_7 + 1) + 1[/tex]

Open bracket

[tex]T_9 = 2 * 2 * T_7 + 2*1 + 1[/tex]

[tex]T_9 = 4T_7 + 2 + 1[/tex]

[tex]T_9 = 4T_7 + 3[/tex]

Substitute 63 for [tex]T_9[/tex]

[tex]63 = 4T_7 + 3[/tex]

Subtract 3 from both sides

[tex]63 - 3 = 4T_3 + 3 - 3[/tex]

[tex]60 = 4T_3[/tex]

Divide both sides by 4

[tex]\frac{60}{4} = \frac{4T_3}{4}[/tex]

[tex]15 = T_7[/tex]

[tex]T_7 = 15[/tex]

Considering [tex]T_{10}[/tex]

[tex]T_1_0 = 2 * T_9 + 1[/tex]

Substitute 63 for [tex]T_9[/tex]

[tex]T_1_0 = 2 * 63 + 1[/tex]

[tex]T_1_0 = 126 + 1[/tex]

[tex]T_1_0 = 127[/tex]

Calculating [tex]T_{10} - T_7[/tex]

[tex]T_{10} - T_7 = 127 - 15[/tex]

[tex]T_{10} - T_7 = 112[/tex]

Hence, the 10th - 7th number is 112

Answer:

b = sqrt(45)

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and be are the legs and c is the hypotenuse

2^2 + b^2 = 7^2

4 + b^2 = 49

Subtract 4 from each side

b^2 = 49-4

b^2 = 45

Take the square root of each side

sqrt(b^2) = sqrt(45)

b = sqrt(45)

Answer:

(1,0)

Step-by-step explanation:

The vertex is the maximum of the parabola

It is at x=1 and y = 0

(1,0)

Answer:

(1, 0)

Step-by-step explanation:

In simpler words, the vertex of a parabola is where it bends.  

Answer: BD = 9 units

Step-by-step explanation:

ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.

19.2 / 32 = 0.6

15 * 0.6 = 9

So the length of side BD is 9 units.

Answer:

9 units

Step-by-step explanation:

Answer:

81 in²

Step-by-step explanation:

The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.

The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.

Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length

Where,

Base area = s² = 5² = 25 in²

Perimeter of base = 4(s) = 4(5) = 20 in

Slant height = 5.6 in

Surface area = 25 + ½(20) × 5.6

= 25 + 10 × 5.6

= 25 + 56

Surface area = 81 in²

Answer:

x = 10.7775

Step-by-step explanation:

We can see that we need to use sin∅ to help solve for x:

sin56° = x/13

13sin56° = x

x = 10.7775

Answer:

10.77

Step-by-step explanation:

Pretty easy stuff, basically you use the sin ratio to solve this.

so it would be sin(56) = x/13

then you multiply 13 to sin(56)

and get 10.77.

Hope this helped :)

Answer:

∠BAD = 100°

∠ADC = 105°

∠DCB = 50°

∠ABC = 105°

Step-by-step explanation:

∠BAD is given.

∠ADC is supplementary to the 75°, so it is 180-75 = 105°

∠DCB is 50° just like its opposite angle

The sum of all angles in a quadrilateral must be 360, so ∠ABC = 360-100-105-50 = 105.

Answer:

16589.44

Step-by-step explanation:

z score for 99% confidence interval = 2.576

Margin of error = 1% = 0.01

Formula =

Margin of error = z score × p(1 - p)/n

0.01=2.576 × √ (0.25)/n

0.01=2.576 × 0.5/√ (n)

Crops Multiply

0.01× √ (n) = 2.576 × 0.5

divide both sides by 0.01

√(n) = 2.576 × 0.5/ 0.01

√n =128.8

Square bother sides

n = 128.8²

n = 16589.44

Answer:

It is zero

Step-by-step explanation:

The attatched should help you understand discriminants:

Answer:C

Step-by-step explanation:

If the discriminant is negative you will have no real roots, if it is positive it will have 2 real roots, only with a discriminant of 0 will you get only one real root. Also, for undefined discriminant that is the same as a negative answer.

Answer:

The square root of 22 is around 4.69, so whatever point is closest to that will be your answer. :)

Answer:

b. 4.7

Step-by-step explanation:

2015:

250 members

$95 annual subscription

2016

250 members + 4%

$95 annual subscription + 6%

Work:

250 x 1.04 = 260

95 x 1.06 =  100.7

260 x 100.7 = 26,182

Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7

Answer:

h=3V/πr²

Step-by-step explanation:

Answer:

3V / (pi r^2) =  h

Step-by-step explanation:

V= pi r squared h/3

Multiply each side by 3

3V = pi r^2 h /3  * 3

3V = pi r^2 h

Divide each side by pi r^2

3V / (pi r^2) = pi r^2 h /( pi r^2)

3V / (pi r^2) =  h

Answer:

The correct answers are:

[tex]\sqrt{0}=0\\\sqrt{1.44} = \pm 1.2\\\sqrt{2.25} = \pm 1.5\\\sqrt{3.24} = \pm 1.8\\\sqrt{4.41} = \pm 2.1\\\sqrt{5.29} =\pm 2.3[/tex]

Step-by-step explanation:

Given the function:

[tex]y=p(x)=\sqrt{x}[/tex]

That means, the value that we give as input i.e. the value of x is square rooted and given as output.

Input is x and output is [tex]\sqrt x[/tex].

Now, calculating the outputs for different values of x:

1. x = 0, the square root of 0 is always 0.

so, y = p (0) = 0

2. x = 1.44

[tex]y = p(1.44)=\sqrt{1.44} \\\Rightarrow \sqrt{\dfrac{144} {100}}\\\Rightarrow \pm \dfrac{12} {10} = \pm 1.2[/tex]

Similarly other square roots can be calculated:

3.  x = 2.25

[tex]y = p(2.25)=\sqrt{2.25} \\\Rightarrow \sqrt{\dfrac{225} {100}}\\\Rightarrow \pm \dfrac{15} {10} = \pm 1.5[/tex]

4.  x = 3.24

[tex]y = p(3.24)=\sqrt{3.24} \\\Rightarrow \sqrt{\dfrac{324} {100}}\\\Rightarrow \pm \dfrac{18} {10} = \pm 1.8[/tex]

5.  x = 4.41

[tex]y = p(4.41)=\sqrt{4.41} \\\Rightarrow \sqrt{\dfrac{441} {100}}\\\Rightarrow \pm \dfrac{21} {10} = \pm 2.1[/tex]

6.  x = 5.29

[tex]y = p(5.29)=\sqrt{5.29} \\\Rightarrow \sqrt{\dfrac{529} {100}}\\\Rightarrow \pm \dfrac{23} {10} = \pm 2.3[/tex]

Hence, The correct answers are:

[tex]\sqrt{0}=0\\\sqrt{1.44} = \pm 1.2\\\sqrt{2.25} = \pm 1.5\\\sqrt{3.24} = \pm 1.8\\\sqrt{4.41} = \pm 2.1\\\sqrt{5.29} =\pm 2.3[/tex]

Answer:

B

Step-by-step explanation:

Answer:

I don't know if I'm right but i think it's B

Step-by-step explanation:

again, I'm not so sure, so if I'm wrong please correct me

Answer:

For this case we know that the total amount of solution including water and acid is V=367 ml

And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:

[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]

Step-by-step explanation:

For this case we know that the total amount of solution including water and acid is V=367 ml

And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:

[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]

Answer:

To find the circumference

diameter x 3.14 = circumference

We can undo the multiplication and divide to get the diameter

37.68 /3.14 = 12

diameter / 2= radius

12 / 2 = 6

the radius is 6

radius x radius x pi = area

6 x 6 x 3.14 = 113.04

113.04 is the answer

Hope this helps

Step-by-step explanation:

Answer:

113.04 square inches.

Step-by-step explanation:

The formula to find the circumference is 2πr. The formula for the area is πr^2. We are trying to find r in order to solve the problem.

It says use 3.14 for π. The circumference is 37.68 inches.

2πr = 37.68

2 * 3.14r = 37.68

3.14r = 18.84

r = 6

Now that we know the radius of the circle, we can find the area!

πr^2 = 3.14 * (6^2) = 3.14 * 36 = 113.04.

Hope this helps!

Answer:

A ; -4

Step-by-step explanation:

3a = 12b then a = 4b (dividing by 3)

we put 4b in the equation instead of a:

(-4b / b) = -4

.. ..

Answer:

A. -4

Step-by-step explanation:

3a/b = 12

Let b = 2

3a/2 = 12

3a = 24

a = 8

( - a/b)

( - 8/2)

( - 4)

Answer:

125°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 8 (octagon), thus

sum = 180° × 6 = 1080°

let x represent one of the equal angles, then

3x + 705 = 1080 ( subtract 705 from both sides )

3x = 375 ( divide both sides by 3 )

x = 125

Thus the size of one equal angle = 125°

Answer:  [tex]\bold{b)\quad \dfrac{\pi}{2}+n\pi,\ \dfrac{\pi}{4}+2n\pi}[/tex]

Step-by-step explanation:

cos x tan x - cos x = 0

cos x (tan x - 1) = 0

cos x = 0          tan x - 1 = 0

[tex]x=\dfrac{\pi}{2},\ \dfrac{3\pi}{2}[/tex]         tan x = 1

                         [tex]x=\dfrac{\pi}{4},\ \dfrac{5\pi}{4}[/tex]

Thanks! I hope my answer would be easy to understand.

Answer:

2:8 is the ratio to an equal ratio

Answer:

[tex]\frac{b+a}{b-a}[/tex]

Step-by-step explanation:

Tan θ = [tex]\frac{perpendicular}{base}[/tex] = [tex]\frac{b}{a}[/tex]

So, Perpendicular = b, base = a

Finding hypotenuse by Pythagorean Theorem:

[tex]c^2 = a^2+b^2[/tex]

=> So, hypotenuse = c

Sin θ = [tex]\frac{perpendicular}{hypotenuse}= \frac{b}{c}[/tex]

Cos θ = [tex]\frac{base}{hypotenuse}= \frac{a}{c}[/tex]

So, Now finding [tex]\frac{sin\theta+cos\theta}{sin\theta-cos\theta}[/tex]

=> [tex]\frac{b}{c} + \frac{a}{c}[/tex] ÷ [tex]\frac{b}{c} - \frac{a}{c}[/tex]

=> [tex]\frac{b+a}{c}[/tex] ÷ [tex]\frac{b-a}{c}[/tex]

=> [tex]\frac{b+a}{c} * \frac{c}{b-a}[/tex]

=> [tex]\frac{b+a}{b-a}[/tex]

Answer:

(-7,5)

Step-by-step explanation:

y = 5 and x = -7

The lines intersect at the point x=-7 and y =5

(-7,5)

Answer:

El tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora

Step-by-step explanation:

Para calcular el tiempo que le llevará a cada uno si juntos pueden hacer el trabajo en 3h, tenemos que primero segun los datos considerar lo siguiente:

Segun los datos tenemos que Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto, por lo tanto:

2X=Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto

X=El tiempo que le toma a Alberto.

Por lo tanto calculando la siguiente ecuacion, podremos hallar el valor de X:

2X+X=3 horas

3X=3 horas

X=1 hora

Entonces, tenemos que el tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora

Answer:

a.​5

Step-by-step explanation:

The computation of the value for df^{between treatments} is shown below:

According to the question, the data provided is as follows

Two levels of factor A

And, there are three of factor B

So, the total number of treatment conditions is

= 2 × 3

= 6

Now the value for df^{between treatments} is

= 6  - 1

= 5

Hence, the correct option is a.5

The value for df between treatments is (a) 5

The given parameters are:

[tex]\mathbf{A = 2}[/tex] --- levels of factor A

[tex]\mathbf{B = 3}[/tex] --- levels of factor B

Start by calculating the total number of treatment conditions (n)

[tex]\mathbf{n = A \times B}[/tex]

So, we have:

[tex]\mathbf{n = 2 \times 3}[/tex]

[tex]\mathbf{n = 6}[/tex]

Calculate the degrees of freedom (df)

[tex]\mathbf{df = n - 1}[/tex]

Substitute 6 for n

[tex]\mathbf{df = 6 - 1}[/tex]

[tex]\mathbf{df = 5}[/tex]

Hence, the difference is (a) 5

Read more about degrees of freedom at:

https://brainly.com/question/8605632

Hey there! :)

Answer:

80.265 kg.

Step-by-step explanation:

1 kilogram = 1000 grams. Therefore:

[tex]\frac{80265g}{1} * \frac{1 kg}{1000g} = \frac{80265kg}{1000} = 80.265 kg[/tex]

80265 grams = 80.265 kg.

Answer:

80.265 kg

Step-by-step explanation:

1 kilogram is equivalent to 1,000 g. Therefore, the decimal point goes 3 spaces to the left to divide by 1,000, which is one rack ayyy.

Answer:

the solution to the system of nonlinear equations is C. (0,3)

Answer:

4/3

Step-by-step explanation:

To find slope use the formula (y2-y1)/(x2-x1)

In this case it is (10-6)/(6-3)

4/3

Answer:

c

Step-by-step explanation:

Any ride takes $2.00 and one mile takes $0.20.

Cost = $0.20 + $2.00

Cost = $2.20

Answer:

it could be angle DGF or CGA (they are both supplementary to angle CGD)

Step-by-step explanation:

Answer:

y - 7 = 3(x - 3)

y - 7 = 3x - 9

y = 3x - 2

Step-by-step explanation:

Hope this helped you!