The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

The recursive formula gives a term in the sequence by multiplying the previous term by r

Given the recursive formula

a₁ = - 6

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] ([tex]\frac{1}{4}[/tex] )

with r = [tex]\frac{1}{4}[/tex]

Then explicit formula is

[tex]a_{n}[/tex] = - 6[tex](\frac{1}{4}) ^{n-1}[/tex] → A

Answer:

32

Step-by-step explanation:

[tex]2(x+y)2-(xy)0\\2(5+3)2-((5)(3))0\\2(8)2-(15)0\\16(2)-0\\32-0\\32[/tex]

So the right answer is 113

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

15.71

Step-by-step explanation:

To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5

Put in circumference formula C=2πr

c=2 x 3.14 x 2.5

c= 2 x 7.85

c=15.7

Put the value into the circle circumference formula C=2πr

Answer:

y=x+12/4

Step-by-step explanation:

y=4x-12

x=4y-12 (then make y the subject)

x+12=4y(divide both sides by 4)

y=x+12/4

9) obtuse 10) isosceles

Answer:

Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"

Answer:

The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2

Step-by-step explanation:

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]2 (a + 3)[/tex]

[tex]a=3[/tex]

[tex]2(3+3)[/tex]

[tex]2(6)[/tex]

[tex]=12[/tex]

Answer:

2 (3) + 6

Step-by-step explanation:

2( a + 3)    if   (a = 3)

then now is 2( 3 + 3 )

3+3 = 6........6  times 2 = 12

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

❌: 2(3) = 2 x 3 = 6  ←← not 12

❌: 5(3) = 5 x 3 = 15 ←← not 12

❌: 2(3)+3 = 2 x 3 = 6.... 6 + 3 = 9 ←← not 12

✅: 2(3)+6 = 2 x 3 = 6.... 6 + 6 = 12 ←← its 12

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

have a good day!

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7. x=20

8. x=19

Step-by-step explanation:

7. The shape is a parallelogram and the angles that are labeled are opposite from each other, meaning that they are congruent. So, 4x-40=2x (and solve)

8. Same case as last time (parallelogram), and the angles labeled are congruent. So, 2x+19=3x (and solve)

Answer:

the answer is 32

Step-by-step explanation:

8 x 4 = 32

tip: division is backwards multiplication with different signs

hope this helps :)

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Answer:

c

Step-by-step explanation:

Answer:

[tex]x= \frac{20}{3}[/tex]

Step-by-step explanation:

Set up the equation

[tex]\frac{15}{10} =\frac{10}{x}[/tex]

and cross multiply to solve for x.

Answer:

The graph is a vertical shift of the parent function 2 units up.

Step-by-step explanation:

Our the function is:

y = √x + 2

Its parent function is: f(x) = √x

Answer:

The graph is a vertical shift of the parent function 2 units up.

Step-by-step explanation:

Our the function is:

y = √x + 2

Its parent function is: f(x) = √x

Then, the transformation can be rewritten as: f(x) + 2, which has the form f(x) + c, which is a vertical shift of f(x) c units up. Therefore, in this case, the parent function is shifted 2 units up.

This question is based on the concept of graph .Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.

Given:

The function of graph is [tex]\bold{y=\sqrt{x+2}}[/tex].

Its parent square root function is [tex]\bold{f(x)= \sqrt{x}}[/tex].

By the parent function we have to obtain given function ,So,we have to add on both  sides 2,

f(x)+2 = [tex]\sqrt{x+2}[/tex]

Thus, we have to added 2 to transform the parent root function into given function.Therefore, graph is shifted vertically 2 units up.

Hence,the correct option is (c) i.e. the graph is a vertical shift of the parent function 2 units up.

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Answer:

Correct option: first one -> 9.46 feet long

Step-by-step explanation:

To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.

The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:

sin(25°) = height / length

0.4226 = 4 / length

length = 4 / 0.4226

length = 9.4652 feet

So the length of the board should be 9.46 feet (correct option: first one)

Answer:

12

Step-by-step explanation:

f(x) = sqrt( x-5)+3

Let x = 86

f(86) = sqrt(86 -5) +3

f(86) = sqrt(81) +3

f(86) = 9+3

f(86) = 12

The side length is 12

Answer:

-3 +7 > -10 - 2

Step-by-step explanation:

Given

-3 +7_-10 - 2

Required

Compare using any of the given inequality symbols

We start by solving both sides of the inequality

- 3 + 7 _  -10 -  2

(-3 + 7) _ (-10 - 2)

(4) _ (-12)

Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);

Hence, the _ symbol can be replaced by the greater than symbol.

(4) _ (-12) can then be rewritten as

(4) > (-12) or

- 3 + 7 > -10 - 2

From the list of given options, option B is correct

Answer:

7

Step-by-step explanation:

The sum of first 48 terms of the given series is 4848.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form sum of n terms of arithmetic sequence is Sₙ=n/2[2a+(n-1)d].

The given arithmetic sequence is 7,11,15,......

Here, a=7, d=11-7=4 and n=48

Now, S₄₈=48/2[2×7+(48-1)×4]

= 24(14+47×4)

= 24(14+188)

= 24×202

= 4848

Therefore, the sum of first 48 terms of the given series is 4848.

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Answer: 10 hours and 25 minutes.

Step-by-step explanation:

Multiply 25, 10, and 2 to find volume. Volume is 500 metres.

1 meter = 1000 litres. 500 * 1000 = 500,000 litres in volume.

500,000/ 800= 625 minutes.

625 minutes = 10 hours and 25 minutes

It take 10 hours and 25 minutes to fill the swimming pool.

The volume of a cuboid is given by the formula:

Volume = Length × Width × Depth

              = 25 m × 10 m × 2 m

              = 500 m³

Now, convert the rate of filling from liters per minute to cubic meters per minute:

1 m³ = 1000 liters

So, 800 liters per minute = 800/1000

                                           = 0.8 m³ per minute

Next, the time it will take to fill the pool:

Time (in minutes) = Volume / Rate of filling

                             = 500 m³ / 0.8 m³ per minute

                              = 625 minutes

Now, 1 hour = 60 minutes

625 minutes = 625 / 60

                     = 10 hours and 25 minutes

So, it take 10 hours and 25 minutes to fill the swimming pool.

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Answer:

2/22， 3/33， 4/44

Step-by-step explanation:

Answer:

0.0909 9.09%

Step-by-step explanation:

Answer:

{0.3, 3, 30, 300, 3000}

Step-by-step explanation:

Here a(1) = 0.3, and

        a(2) = 3, and

         a(3) = 30, and

          a(4) = 300, and

          a(5) = 3000

The first term (given) is 0.3, and the common ratio is 10.

Answer:

13.35 millimeter. (About)

Step-by-step explanation:

To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:

πr²/2

So, if the radius is 8.5,

8.5 · 3.14 = 26.69

Now we divide it by 2.

26.69 = 13.345

Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.

Answer:

185.43 mm 2

Step-by-step explanation:

,.

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.

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.

.

Answer:

60

Step-by-step explanation:

Just multiply them all together.

2 * 2 * 3 * 5 = 60

Answer 60

Step-by-step explanation: 60 devided by 2 = 30

30 devided by 2 = 15

15 devided by 3 = 5

5 devided by 5 = 1

hence verified

Answer:

It's all about the brackets.

Step-by-step explanation:

If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.

If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.

Hope this helps!

treviglaslibrary

Answer:

4^2= 16

Step-by-step explanation:

This is because when you square something your are multiplying that number by itself. So in this case you must multiply 4 x 4 which is sixteen. Another example of this is 3^2 which is 9. In this case you must multiply 3 x 3 which is nine.

Answer:

D

Step-by-step explanation:

1/4 x -36 = -9

1/4 x 4/3 = 1/3

1/4 x 12 = 3

But...

1/4 x 0.444444... = 0.111111...

So A is the answer

√12  produces an irrational number when multiplied by 1/4

A real number that cannot be expressed as a straightforward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to p/q if N is irrational.

Given Four numbers to find the number that will produce an irrational number after dividing by 4. We will check them one by one:

For A, 0.4444:

=> 0.444

After multiplying by 1/4

=> 0.1111111

That can also write as 1/9(Not an irrational number)

For C, -√36:

=> -√36

After multiplying by 1/4

=>-√9/4

That can also write as 3/2(Not an irrational number)

For D, 4/3:

=> 4/3

After multiplying by 1/4

=> 1/3

That can also write as 1/3(Not an irrational number)

For B. √12:

=> √12

After multiplying by 1/4

=> √12/4

=>√(3/4)

That can also writes as √(3/4)(yes, an irrational number)

Therefore, The irrational number in the given option is B √12

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Answer:

No solution

Step-by-step explanation:

I'd suggest you try to solve this first:  3√(x + 8) = 4.  First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9.  We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function.  No solution.

If we now write 3√(x + 8) = -4   (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9.  If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.

The solution for the given equation is 16.

The given equation is 3√x+8=-4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

Now, 3√x+8=-4

⇒ 3√x=-4-8

⇒ 3√x=-12

⇒ √x=-12/3

⇒ √x=-4

Squaring both the sides, we get

x=16

Therefore, the solution for the given equation is 16.

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Answer:

Its c

Step-by-step explanation:

just did the quiz

Answer:

84.82

Step-by-step explanation:

I rounded it to the decimals hundredth place if I did not it would have been 84.823.

Answer:

300 miles

Step-by-step explanation:

100 - 55 =45

45/.15 =300

so x = 300

The value of x=3, length of HJ=21 and JK=12 can be found out using Segment Addition Postulate.

If B is between A and B, then AB +BC = AC

Given that, HJ=4x+9

JK=3x+3

KH=33

According to the Segment Addition Postulate, we can say that

HJ+JK=KH

4x+9+3x+3=33

(4x+3x)+(9+3)=33

7x+12=33

7x=33-12=21

    =4(3)+9

HJ=12+9=21

    =3(3)+3

JK=9+3=12

The value of x=3, length of HJ=21 and JK=12 .

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Answer:

Step 1 is incorrect

Step-by-step explanation:

Answer:

step 1

Step-by-step explanation:

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62