Complete the equation: x2 + 10x + ___ = 2

Answer:

Option B

Step-by-step explanation:

The formula for geometric sequence is given by:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] = nth term of sequence

[tex]a_{1}[/tex] = 1st term of the sequence

[tex]r[/tex] = common ratio (ration of the second term to the first term)

So,

Here:

[tex]a_{1}[/tex] = 12

[tex]r[/tex] = 6/12 = 1/2

Plugging in the values of [tex]a_{1}[/tex] and r in the above formula:

=> [tex]a_{n} = 12 * (\frac{1}{2}) ^ {n-1}[/tex]

Answer:

Original number is 52.

Step-by-step explanation:

1) Two digit number xy,

it can be written as 10x + y.

2) The sum of the digits of a two-digit number is 7.

x + y = 7

3) The digits are interchanged the reversed number is yx,

the new number can be written as 10y + x.

4)  The original number is 10x + y, so the tens digit of the original number  is x.

5) Five times the tens digit of the original number is 5*x.

6) The reversed number is five times the tens digit of the original number:

10y + x = 5*x

7) We have system of two equations

x + y = 7  ---->  x = 7 - y

10y + x = 5*x --->   10y - 4x = 0

10y - 4x = 0

10y - 4(7 - y) =0

10y - 28 + 4y = 0

14y = 28

y = 2

x = 7 - y = 7 - 2 = 5

x = 5

Original number is 52.

New number 25.

Check:

Original number is 52, the tens digit is 5.

The reversed number (25) is five times the tens digit of the original number find the original number .

25 = 5*5 True

Answer:

€86.13

Step-by-step explanation:

The computation is shown below:

According to the given question

The estimation we told is

£3 = €4

£ reflects the sign of the pound and "€" reflects the sign of Euro.

Therefore we apply the estimation we get

£1 = €

Now multiply both sides by 73.50.

£64.60= €

£64.60  = €

Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)

Answer:

0.34134

Step-by-step explanation:

In other to solve for this question, we would be using the z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

We are told in the question to find the probability that a worker selected at random makes between $350 and $400

let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.

z1 = (x1 - μ) / σ = (350-400) / 50 = -1

z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0

From tables, P(z <= -1) = 0.15866

P(z <= 0) = 0.5

Then, the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =

0.34134

Hence, The probability that a worker selected at random makes between $350 and $400 = 0.34134

Answer:

34%

Step-by-step explanation:

Acellus sux

Answer:

None of the above

Step-by-step explanation:

the x coordinate tells us the duration, and the y-coordinate tells us the total cost of a phone call. The y coordinate of point aA represents the total cost of an 8 minutes phone call. not 8 phone calls. point a tells us that the cost is $2 for an 8-minute phone call, so the cost per minute is 2/8=$0.25, not $0.3.

Hope this helps!

Answer:

The average height is 64.45 inches.

Step-by-step explanation:

Total number of children = 9 children

Heights in inches = 63,71,60,59,74,60,60,75,58.

The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.  

Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580

The average heights  = 580 / 9 = 64.45 inches.

Answer:64.4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

8−2⋅3+7

PEMDAS

Multiply and divide first

8−6+7

Then add and subtract

2+7

9

Answer:

9

Step-by-step explanation:

Remember to follow the order of operations, PEMDAS.  Note that PEMDAS =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, multiply -2 with 3:

-2 * 3 = -6

Next, follow the left -> right rule. First subtract, then add:

8 - 6 = 2

2 + 7 = 9

9 is your answer.

~

Answer:

18π

Step-by-step explanation:

the area of a circle is :

A= r²*π     where r is the radius

here r²  =81⇒ r= 9

the circumference of a circle is :

P= 2*r*π

P= 18π

Answer:

18 pi inches

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

81 pi = pi r^2

Divide by pi

81 = r^2

Take the square root of each side

sqrt(81) = sqrt (r^2)

9 = r

We want the circumference

C = 2 * pi * r

C = 2 * pi * 9

C = 18 pi

Answer:

9 roots

Step-by-step explanation:

(x+10)^9 = 0

If you would multiply it out, the highest power is x^9 so the equation has 9 roots

Solving (x+10)^9 =0

Taking the 9th root of each sdie

x+10 = 0

x = -10

The root is -10 with multiplicity of 9

Step-by-step explanation:

Use pythagoras theorem

a^2=b^2+c^2

a^2=64+36

a=10m

The length up to the wall of the ladder will be around 5.2915.

The Pythagoras theorem is a theorem used to find out any length of a right-angle triangle.

Pythogoroous theorem is

Hypotenuse² = base² + perpendicular²

Given that a ladder leans against a wall so the ladder will act like a hypotenuse.

Let 6m be the base then we have to find the perpendicular.

Hypotenuse² = base² + perpendicular²

perpendicular² = Hypotaneous² -  base²

perpendicular =  [tex]\sqrt{ (Hypotenuse)^2 - (base)^2}[/tex]

Given hypotenuse is 8m and the base is 6m.

perpendicular² = 8² - 6²

perpendicular² = 28

perpendicular = √(28) = 5.2915 hence this much be far up the wall does the ladder reach.

For more information about Pythagoras theorem.

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Answer: 214

Step-by-step explanation:

The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]

arc EDF measures is 214°

The arc is a portion of the circumference of a circle

The circumference of a circle measures 360°,

Since minor arc EF measures 146°,

arc EDF measures = 360°-146° = 214°

Hence, arc EDF measures is 214°

learn more about arc of circle

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Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer to your question is 12x - 24=60

So we know that 12x will be the number of cookies.

It says that she kept two boxes for herself, and than she took away 24 boxes which will leave us with 60.

Here is the work:

12 (x-2)= 60

12x-24=60

So the answer should be 12x -24 = 60

Hope this helps!

By:xBrainly

Answer:

[tex]A=P+P\times S\%[/tex]

Step-by-step explanation:

For calculating the sales tax of a product, it is required to first multiply the original cost price of the product by the sales tax percentage.  

Once the sales tax has been computed add it to the original cost price in order to determine the total cost of the product.

The formula of final amount is:

[tex]A=P+P\times S\%[/tex]

Here,

A = final amount

P = original cost price

S = sales tax percentage

Answer:

1.$25.68

2.$51.36

3. 77.04

Step-by-step explanation:

I just took the test.

Answer:

A joint insurance and retirement plan would generally be the most secure investment.

Step-by-step explanation:

Note: there may be divergence in the answers depending on personal opinion.

If they would like to secure their future, then they need secure investments, or low-risk investment.  Generally, low risk investments will give lower probably returns, but also lower possible losses, if any at all.

A. real estate options, mean unknown return in unknown time-frame

B. high risk shares that promise big returns mean risky investment with high risk of losses

C. joint insurance and retirement plans mean usually known return, and close to zero risk (unless insurance company goes bankrupt)

D. Become entrepreneurs or invest in a business, is a good option, provided a judicious choice of the business would be made.

Answer:

Jane will run more than 30 miles this week, as thus far she ran 22.    

Step-by-step explanation:

X + 22>30

         X>8

She runs more than 8 miles.

Answer:

Well, it depends.

Step-by-step explanation:

In the problem, it doesn't specify if the miles she runs is a positive integer or not, but I will assume that it is.

There are  number of miles: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31.

So t = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, and 31

Answer:

Hello!

___________________

Express 35 millimetre in centimetre​

Millimetre = 35

Centimetre = 3.5

Step-by-step explanation: Divide the length value by 10.

Hope this helped you!

:D

Answer:

Hey! :)

35 millimetre = 3.5 centimetre

Good luck!

- The Brainly Team

Answer:

d. 12

Step-by-step explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.

Answer: its d, 12

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64°  87°

Given that:

mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees

∠SOR = ∠TOU  (Vertically opposite angles are equal). Therefore:

13 x = 15x - 8

solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x = 13(4) = 52°

∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

Answer:

C) 64 degrees

Step-by-step explanation:

just took the test on edg2020

Answer: 69.6 m

Step-by-step explanation:

Sin 55 deg = opposite side/hypotenuse

0.819 = height/string length

0.819 * 85= height

height = 69.6 m

Answer:

I think its 8

Step-by-step explanation:

Answer:

(0,-6), (-2,0)

Step-by-step explanation:

-3x-y=6

-y=6+3x

y=-3x-6

when x=0, y=-6

when y=0 x=-2

Answer:

80cm^2

Step-by-step explanation:

Answer:

80 ft^2

Step-by-step explanation:

To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2

Answer:

The correct answer is:

[tex]+6x^{2}\\-9y^2[/tex]

Step-by-step explanation:

We are given the term:

[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6 = 9x^{2} -y^{2} +9[/tex]

We have to fill in to the empty spaces such that the above equation gets satisfied.

First of all, let us simplify the LHS (Left Hand Side):

[tex]3x^{2} +5y^{2} [\text{ \ }] +3 [\text{ \ }] +4y^{2} +6\\\Rightarrow 3x^{2} +5y^{2} +4y^{2} [\text{ \ }] [\text{ \ }] +6 +3\\\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9[/tex]

Now, let us equate the LHS and  RHS (Right Hand Side):

[tex]\Rightarrow 3x^{2} +9y^{2} [\text{ \ }] [\text{ \ }] +9 = 9x^{2} -y^{2} +9[/tex]

Equating the coefficients of [tex]x^{2}\ and\ y^{2}[/tex] in LHS and RHS:

One box will have value = [tex]9x^{2} -3x^{2} =+6x^{2}[/tex]

Other box will have value = [tex]-y^{2} -9y^{2} =-10y^{2}[/tex]

The correct answer is:

[tex]+6x^{2}\\-9y^2[/tex]

So, if we fill the boxes with above values, the expression will be simplified as given.

Answer:

The correct answer is B. Positive 6 x squared and Negative 10 y squared

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }[/tex]

Step-by-step explanation:

hello,

let's try to divide by 7 329 it comes

329 = 47 * 7

and 329 is not divisible by 2 or 3 so

the solution is

x = 0

y = 0

z = 47

[tex]2^0*3^0*7*47=329[/tex]

hope this helps

You're looking for "parabola" like shapes in which the lowest point has a y coordinate of y = 0. In this case, it would be the "parabola" portion on the right that has its lowest point at (3,0). The only interval that fits is [tex]2 \le x \le 4[/tex] which in interval notation is written as [2,4]. So this fits with choice D.

Answer:

We operate the principle of sets to solve the problem. We are given the number of women to be 28 and men to be 23. The intersection will be while the union of both sets will be 24. To calculate the number of women teachers attending the lecture we first sum up the number of women and men and subtract from the intersection of both sets which gives us 3. Therefore, the number of teachers that are men are 3 while the number of women teachers are 1.

Step by step explaination:

Given the following, Let the set for men be represented by MM, that of women be represented by WW and that of teachers represented by TT.

Therefore, number of men i.e n(MM)= 23,

number of women i.e n(WW)= 29

number of teachers i.e n(TT)=4

number of  men or teachers i.e n(MM U TT)= 24

Therefore, we have:

n(MM U TT)=n(MM) + n(TT) - n(MM n TT)

Therefore:

n(MM n TT)=n(MM) + n(TT) -n(MM U TT)

n(MM n TT)= 23+ 4 - 24 = 3

There fore number of men that are teachers are n(MM n TT)= 3 .

Therefore, from the number of teachers n(TT)=4

the number of teachers that are men are 3 while the number of women teachers are 1.

Answer:

32 hours and 65 minutes

Step-by-step explanation:

Answer:

The Answer is 33 hours and 5 minutes

Step-by-step explanation:

The reason being that 32.65 is 32 hours and 60 min is an hour so add that to the 32 it's 33hrs and the remaining 5 min