Which equation is correct
a) 2 + 3 x 4 = 14
b) 2 + 3 x 4 = 20

The first term of the geometric sequence is a(1) = 7.

The nth term of a geometric sequence is given by:

a(n) = a(1) . rⁿ⁻¹

Where:

a(1) = the first term

r = ratio

Parameter given in the problem:

a(5) = 112

Plug n = 5 into the formula

a(1) . r⁵⁻¹ = 112

a(1) . r⁴ = 112    ....... (1)

a(7) = 448

Plug n = 7 into the formula

a(7) = a(1) . r⁶

448 = a(1) . r⁶  ..... (2)

Divide (2) by (1)

448 : 112 = r⁶ : r⁴

4 = r²

Since  r² = 4, then r⁴ = ( r² )² = 4² = 16.

Substitute r⁴ = 16 into equation (1):

a(1) . 16 = 112

a(1) = 112/16 = 7

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Answer:

Step-by-step explanation:

The answer is I.D.K

∠6 = 43°

If two angles sum to 90 degrees, they are said to be complementary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). Angles 1 and 2 are complementary if their total of angles equals 90 degrees (i.e., ∠1 + ∠2 = 90°), and as a result, they are referred to as each other's complements.

Now as per the question the given angle is

∠8 = 47°

It is also given that ∠6 and ∠8 form are complementary angles. Therefore it means that the sum of both the angles will be 90°

∠6 + 47° = 90°

Now subtracting 47 from both sides we will get :

∠6 = 90 - 47 = 43°

Therefore, ∠6 = 43°

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The expression that iis equivalent to 8x³ − 64 when factored completely will be A. (2x − 4)(4x² + 8x + 16)

It should be noted that (2x − 4)(4x² + 8x + 16) will be:

= (2x − 4)(4x² + 8x + 16)

= 8x³ + 16x² + 32x - 16x² - 32x - 64

= 8x³ - 64

Therefore, the correct option is A.

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Answer: Maybe D I'm not sure

Step-by-step explanation:

It will take 48 min . to run 6 miles .

Given : In 0 min 0 miles .

            In 8 min . 1 mile .

            In 16 min . 2 miles .

            In 24 min . 3 miles .

To find :  how long will it take to run 6 miles

Calculation :

0 mile = 0 min

1 mile = 8 min

2 mile = 16 min

3 mile = 24 min

Therefore , avg . is of 8 min . per mile .

Hence , it will take ( 6 * 8 ) min . = 48 min . to run 6 miles .

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Answer:

6720

Step-by-step explanation:

[tex](8)(7)(6)(5)(4) \\ \\ =(56)(30)(4) \\ \\ =56(120) \\ \\ =6720[/tex]

Answer: -3

Step-by-step explanation:

bro i was just doing that in math class

Answer:

I think it is 23.333

Step-by-step explanation:

I added 16 to both sizes and got 3x=70

then divide 70 by 3 and got 23.333

Answer: (-235, -5.8)

Step-by-step explanation:

elimination

1. The sequence will be 13 + 2( n - 1).

2. The sequence will be 22 + 6(n - 1).

1. It should be noted that the common difference is 15 - 13 = 2

First term = 13

Therefore, the sequence will be:

= a + (n - 1)d.

a = first term

d = difference

n = numbers

= 13 + 2( n - 1).

2. Common difference = 28 - 22 = 6

First term = 22

The sequence will be:

a + (n - 1)d

= 22 + 6(n - 1)

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Answer:

Step-by-step explanation:

you can use the slide divide bottoms up method for this.

slide the 2 over to the 1 which gives:

x²+7x+2=0

then apply the quadratic formula to get

-7±√7²-4(1)(2)

______________

2

then we have

-7±√41÷2

Answer:

x=4

Step-by-step explanation:

This line has an undefined slope since it goes straight up

The line falls on the x coordinate 4

The probability that a car is red is 1/3

The given parameters are

P(Car has two doors, given that it is red) = 0.6

P(car has two doors and is red) = 0.2

The probability that a car is red is

P(Red) = P(car has two doors and is red)/P(Car has two doors, given that it is red)

This gives

p(Red) = 0.2/0.6

Evaluate

p(Red) = 1/3

Hence, the probability that a car is red is 1/3

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Answer:

Step-by-step explanation: 2x+12x = 14x

14x=70

70/14 = 5

x = 5

Answer: x=29

Step-by-step explanation:

12=70-2x

12=-2x+70

Subtract 70 from both sides: 12-70=-2+70-70

-58=-2x

Divide both sides by the same factor: -58/-2=-2x/-2

x=29

Answer:   68.5

Step-by-step explanation:

6 cm + 6 cm + 18 cm+ 9.5cm + 3cm + 11cm+ 9cm+ 6cm= 68.5

~Hope this helps ;0~

When measuring height, it is necessary to represent both the vertical position and the separation between the minimum and maximum place or location. Rachel is 5 feet 6 inches tall, the tall is her cousin exists 2 feet 9 inches.

In math, tall can be defined as the vertical distance from the top to the base of the object. Tall is the distance between an object's highest and lowest points.

The measurement of an object's height from the base to the top is known as tall. It is sometimes referred to as altitude in geometry. The vertical distance between the lowest and highest point is measured. In coordinate geometry, it is often the measurement along the y-axis of an object.

Rachel/Cousin = Rachel's shadow / Cousin's shadow

5 feet 6/x = 2/1

simplifying the above equation, we get

5ft 6 = 2x

x = 5ft 6/2

x = 66in/2

x = 33 in

x = 2ft 9inch

Therefore, the value of x = 2ft 9inch.

Rachel is 5 feet 6 inches tall, the tall is her cousin exists 2ft 9inch.

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Answer:

x = 3

Step-by-step explanation:

2(4 + 3x) + 6 = 32 ( subtract 6 from both sides )

2(4 + 3x) = 26 ( divide both sides by 2 )

4 + 3x = 13 ( subtract 4 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

As a check

substitute x = 3 into the left side of the equation and if value obtained is equal to the right side (32) then it is a solution to the equation.

2(4 + 3(3)) + 6

= 2(4 + 9) + 6

= 2(13) + 6

= 26 + 6

= 32

left side = right side

then x = 3 is the solution to the equation

Answer:

[tex] \sf \: x = 3[/tex]

Step-by-step explanation:

[tex] \sf \rightarrow \: 2(4 + 3x) + 6 = 32[/tex]

Apply the distributive property

[tex] \sf \rightarrow8 + 6x + 6 = 32[/tex]

Combine like terms

[tex] \sf \rightarrow 14 + 6x = 32[/tex]

Rearrange variables to the left side of the equation

[tex] \sf \rightarrow 6x = 32 - 14[/tex]

Calculate

[tex] \sf \rightarrow 6x = 18[/tex]

Divide both sides by the coefficient of 6

[tex] \sf \rightarrow \frac{6x}{6} = \frac{18}{6} [/tex]

Calculate

[tex] \sf \rightarrow x = \frac{18}{6} [/tex]

[tex] \sf \rightarrow \: x = 3[/tex]

The slower stone will take 3.33 seconds if the faster stone takes 10s to return to the ground.

It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.

From the motion equation:

s = ut + at²/2

From the data given:

s = 0

0 = 3u(10) - 9.8(10)²/2

After solving:

u = 16.33 m/s

To calculate for time:

s = ut + at²/2

s = 0

u = 16.33

0 = 16.33t + 9.8t²/2

t = 3.33 seconds

Thus, the slower stone will take 3.33 seconds if the faster stone takes 10s to return to the ground.

The complete question is:

Two stones are thrown vertically upward from the ground, one with three times the initial speed of the other.

(a) If the faster stone takes 10s to return to the ground, how long will it take the slower stone to return?

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The sum of the given finite arithmetic series 7+14+21+ . . . . . . +105 is S(5) = 840

The formula for the nth term in an arithmetic series is given by:

a(n) = a(1) + (n-1) . d

Where:

a(1) = the first term

d = the common difference = a(n) - a(n-1)

The given arithmetic series:

    7+14+21+ . . . . . . +105

We can infer that:

a(1) = 7

d = 14 - 7 = 7

Find n that lead to a(n) = 105 by substituting a(1) = 7 and d =  7 into the formula:

a(n) = a(1) + (n-1) . d

105 = 7 + (n-1) . 7

105 = 7n

n = 15

Use the sum formula for n = 15.

S(n) = n/2 [a(1) + a(n)]

S(15) = 15/2 (7 + 105)

S(15) = 15 . 56 = 840

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The triangles are congruent by the SAS theorem not the HL Theorem

The statement is given as

Yama stated that △KLM≅△PLN by the HL Theorem

From the figure, we can conclude that the triangles are truly congruent

This is evident by the marks on the corresponding angle and the corresponding sides of the triangles

From the figure, we have

1 corresponding angle

2 corresponding sides

This means that the triangles are congruent by the SAS theorem not the HL Theorem

Hence, the triangles are congruent by the SAS theorem not the HL Theorem

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Answer:

7.07

Step-by-step explanation:

think about some perfect square values

7x7=49, which is very close to 50

so 7.07

Answer:

7.07

Step-by-step explanation:

√50≈7.07 because 7*7=49

The digits in millions period of the number is 468 as the digit 8 is in the ones million place, 6 is in the tens million place and 4 is in the hundred millions place.

Given the number is 21,468,127,471.

The digits in which are given in the large numbers are in groups of three places. The groups are called periods. Commas are usually used to separate the periods.

The groups of numbers are 3 digit group and which is starting from the right to left.

As we all know that we read the group of periods as ones, tens, hundreds, thousand, ten thousand, hundred thousand, million, ten million, hundred million, billion etc.

From  the above, we find that the given number 21,468,127,471 contains digit 1 is in the ones place, 7 is in the tens place, 4 is in the hundredth place, 7 is in the thousand place, 2 is in the ten thousand place, 1 is in the hundred thousand place, 8 is in the million place, 6 is in the ten million place, 4 is in the hundred million place , 1 is the billion place and 2 is in the ten bilion.

Hence, the digits in millions period of the given number 21,468,127,471 is 468 as the digit 8 is in the ones million place, 6 is in the tens million place and 4 is in the hundred millions place.

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In the accompanying diagram of ABC, AB ≅ AC,. BD = 1. 3. BA, and CE = 1. 3. CA. Triangle EBC can be proved congruent to triangle.

What do you mean by congruent?

Triangles. Congruent

∆ABC ≅ ∆ DEF.

1. AB ≅ DE

2. BC ≅ EF

3. AC ≅ DF

4. ∠ A ≅ ∠ D

5. ∠ B ≅ ∠ E

6. ∠ C ≅ ∠ F

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The missing term of the GP is: 1530.

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: 9180, ___, 255.

To find: the missing term of the geometric sequence.

Finding:

The geometric mean of a geometric sequence is used to find the term between two term of a geometric sequence.

Thus, Let the missing term by x.

Then, x = [tex]\sqrt{9180\times255} = \sqrt{2340900}=1530.[/tex]

Hence, the missing term of the geometric sequence is 1530,

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The value of x when y=3 is x=-3.

y ∝ x

y=kx

where k is the constant of proportionality.

put x=-2, y=2

2=k*-2

k=-1

now it's given that y=3 putting in the equation

y=kx

3=-1*x

x=-3

The value of x when y=3 is x=-3.

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It takes 10 hours to read 200 pages

The function is given as

P = 300 - 50h

When she reads 200 pages, we have

300 - 50h = 200

Subtract 300 from both sides

-50h = -500

Divide by -50

h = 10

Hence, it takes 10 hours to read 200 pages

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The output value of f(11) in the given function f(x) = ( x − 2 )2 + 15 is 33

Given the data in the question;

To determine the output value of f(11), replace all the occurrence of x with 11 in the function.

f(x) = ( x − 2 )2 + 15

f(11) = (11−2)2 + 15

f(11) = (9)2 + 15

Remove the parenthesis

f(11) = 9×2 + 15

f(11) = 18 + 15

f(11) = 33

Therefore, the output value of f(11) in the given function f(x) = ( x − 2 )2 + 15 is 33.

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