Write each number without exponent 6.453 x 10^-3

Answer:

[tex]a_{14} = 10496[/tex]

Step-by-step explanation:

A geometric sequence is of the form:

[tex]ar^0, ar^1, ar^2, ar^3, \cdot \cdot \cdot[/tex]

So the given values can be represent as:

[tex]1. \quad ar^5 = \frac{41}{256}\\2. \quad ar^{10} = -164[/tex]

So you have a system of equations with two unknows [tex]a[/tex] and [tex]r[/tex]. Then you can find one unknow in terms of the other.

[tex]a = \frac{-164}{r^{10}}[/tex]

Now replace [tex]a[/tex] in the first equation

[tex]\frac{-164}{r^{10}}r^5 = \frac{41}{256}\\\frac{-164}{r^{5}} = \frac{41}{256}\\r^5 = \frac{256 \cdot -164}{41} = -\frac{41984}{41}\\r = \sqrt[5]{-\frac{41984}{41}}\\[/tex]

You don't have to worry about the negative number inside the root, because is a odd root then you can find odd negative numbers that give me the desire result.

[tex]r = -\frac{4\sqrt[5]{41} }{\sqrt[5]{41}} \\r = -4[/tex]

For find [tex]a[/tex] only replace [tex]r[/tex] in whatever of the two equations.

[tex]-a4^5 = \frac{41}{256}\\-a1024 = \frac{41}{256}\\a = -\frac{41}{262144}[/tex]

After find [tex]a[/tex] and [tex]r[/tex] use the next formula for find the [tex]14^{th}[/tex] term.

[tex]ar^{13} = x\\-\frac{41}{262144} \cdot -4^{13} = x\\\\10496 = x[/tex]

Answer: 5 mins 110 words10 mins 220 words.

Step-by-step explanation: Tia types 66/3 = 22 words per minute.

Therefore in 5 mins she types 5*22 = 110 words and in 10 mins she types

22 * 10 = 220 words. Hope this helps! lol!

Answer:

27x5=135

Step-by-step explanation:

Answer:

135$

Step-by-step explanation:

27x5 equals 135$

Would appreciate brainliest

Step-by-step explanation:

if you are looking for the matrix or matrices then

L=2x2

p=2x2

q=2x1

m=4x2

n=4x2

This is cause the formula to get these is RxC or R=rows and C=columns

(i hope this is it, if not comment and lemme know)  

Answer:

470.1

Step-by-step explanation:

Since this is a parabola that opens down, the maximum height is where the graph has a horizontal tangent line.

This is where the derivative=0

Since it is a parabola that opens down, we do not need to test the sides of the point where the derivative=0 as the vertex is a local maximum and the only point with a horizontal tangent.

y=[tex]-16x^2+146x+137[/tex]

y'=[tex]-32x+146[/tex]=0

-32x+146=0

x=[tex]\frac{146}{32}[/tex]=[tex]\frac{73}{16}[/tex] This is the x-coordinate of the vertex

Now plug this back into the original equation to find the maximum height.

f(73/16)=[tex]-16(\frac{73}{16})^2+146(\frac{73}{16} )[/tex]+137

=[tex]\frac{-73^2}{16} +666.125+137[/tex]

=-333.0625+666.125+137

=470.0625

To the nearest tenth this is 470.1

Answer:

D

Step-by-step explanation:

Apply 1 as x, y = 3(1) - 2 is 1 and y = -2(1) + 3 is also 1, so the point is at (1, 1)

Answer:

[tex]x=\pm 4\sqrt2[/tex]

Step-by-step explanation:

Left hand side is a positive number. Right hand side is positive. The equation should have real roots. (worst case, the root would be complex, but let's not open that can of worm)

Let's start noticing that [tex]32 = 2^5 =4^2\cdot 2[/tex] and then take the square root of both sides, remembering that we need to take a plus or minus sign ( both a and -a squared give the same result!)

[tex]x= \pm \sqrt{4^2\cdot2}=\pm 4\sqrt2[/tex]

Answer:

$27

Step-by-step explanation:

You can get the equation 30 - 30 * 1/10 = x, and x is what we are looking for. Simplifying gives 30 - 3, so x is 27. So, the answer is $27.

Answer:

$3

Step-by-step explanation: 10%= 0.10 divide that by 30, 30 ÷ 0.10 = 3

Answer:

Step-by-step explanation:

Answer:

y = 2x + 13 or -2x + y = 13

Step-by-step explanation:

1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...

2y = -x + 6 - > y = -1/2x + 3

2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...

y = 2x + b

3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)

3 = 2(8) + b

3 = 16 + b

-13 = b

b = 13

4) Now, we know that b = 13 and the slope is 2. Therefore...

y = 2x + 13

Also note, if you want this equation in standard form, it would be...

-2x + y = 13

Answer: 12

Step-by-step explanation: the denominator is the bottom number, so 6 and 4. The smallest number they BOTH have in common is 12. Hope this helps :)

Answer:

The least common denominator would be 12.

Step-by-step explanation:

Because if you look at each row of multiples, 12 is the smallest number that they both have in common.

See for your self:⤵⤵⤵

1/6 ➡ 6 12 18 24 30

3/4 ➡ 4 8 12 16 20

Hope this helps :)

Answer:

22 dollars

Step-by-step explanation

If you multiply 88* the percent you will get 22. That means that Lily's dad will contribute 22 dollars to buying her tablet.

First find the slope:

   m = ( 2 - 1 ) / ( 0 - (-1) ) = 1 / 1 = 1

Set up slope-intercept form:

  y = 1·x +2

Now move x and y to the left and leave 2 on the right:

  -x + y = 2

This is also equivalent to x - y = -2, so that just depends if you want your x coefficient to be positive or negative.

Answer:

Standard form: x - y = -2

Step-by-step explanation:

The standard form of linear equations is Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the two points, we must first solve for the value of the slope.

Let (x₁, y₁) = (-1, 1)

    (x₂, y₂) = (0, 2)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 1)/[0 - (-1)]

m = 1/(0 + 1) = 1

Therefore, the value of the slope, m = 1.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis.  The y-intercept is also the value of y when x = 0.  One of the given points happens to be the y-intercept, (0, 2). Its y-coordinate is the value of b in the slope-intercept form, y = mx + b. Substitute the slope and the y-intercept into the equation:

y = mx + b

y = x + 2

Next, we need to rewrite the slope-intercept form into its standard form, Ax + By = C:

y = x + 2

Subtract x from both sides:

- x + y = x - x + 2

-x + y = 2

Multiply both sides of the equation by -1, so that the coefficient of x becomes a positive integer:

(-1) (-x + y) = 2(-1)

x - y = -2  ⇒ This is the standard form where A = 1, B = -1, and C = -2

Answer:

73 degrees

Step-by-step explanation:

Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.

So, now just subtract 50 from 123 to get x.

Answer:

B. (top right) 6y - 5x = 18

Step-by-step explanation:

Is the equation of the given line

y = -6/5 x - 7?

The x is missing.

If so, then the slope of the given line is -6/5.

A perpendicular line has a slope that is the negative reciprocal of -6/5, so we need a slope of 5/6.

A.

6x - 5y = 30

-5y = -6x + 30

y = 6/5 x - 6

Here the slope is 6/5, so this is not it.

B.

6y - 5x = 18

6y = 5x + 18

y = 5/6 x + 3

This is it.

C.

6x + 5y = 20 has negative slope, so it is not it.

D.

5x + 6y = 42 has negative slope, so it is not it.

Answer:

14416

Step-by-step explanation:

youre welcome

Answer:

14416

Step-by-step explanation:

check the steps for answers

Step-by-step explanation:

We have:

As per above three sides of one triangle are congruent to three sides of another triangle.

In ∆PQR and ∆MNR

PQ=MN

QR=RN

<Q=<M=90°

Hence by

Side angle side congruency

[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]

Proved

Answer:

[tex]y=8(0.7)^x[/tex]

Step-by-step explanation:

Next, the battery life decreases by 30% per year. You didn't state if this is linear or exponential, so I'll assume exponential because linear doesn't make much sense in this case..

For an exponential function, the battery life will be decreasing by 30% over the previous year, not over the original. Decreasing by 30% is multiplying by 70%, or just 0.7.

Exponential form:

[tex]y=a(b)^x[/tex]

where a is the original value and b is the percent change.

In your question:

[tex]y=8(0.7)^x[/tex]

The function that represents the battery life y after x years is y = 8(0.7)ˣ.

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

Now it is given that,

Battery life starts = 8 hours

Annual decrease rate = 30% = 0.30

So, battery life after an year = 100% - 30% = 70% = 0.7

Now if battery life y after x years

Annual decrease rate after x years = (0.7)ˣ

Thus battery life, y = 8(0.7)ˣ

Thus, the function that represents the battery life y after x years is y = 8(0.7)ˣ.

Learn more about exponential functions at

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A has 12 sides B is 5 sides

Step-by-step explanation:

Answer:

A. 12 B. 5

Step-by-step explanation:

First we will do B.

Interior is 108 degrees Lets make an equation, 108={(n-2)*180}/n

Let's simplify

Now we have 108n=180n-360

180n-108n=360

Now we have 72n=360

n=5.

Now time for the first one.

150={(n-2)*180}/n

150=180n-360

180n-150n=360

30n=360

n=12

Answer:

Y-intercept is at 1 and slope of the graph is 2

Step-by-step explanation:

When plotting this equation use the formula y=mx+b. The variable B is the y intercept its where you start your graph. The variable M is the slope and for that you use rise/run.

To graph 2 you would start at 1 because it's the int. And u would go up 2 and right 1 and just follow that pattern

Answer: I might be wrong but...

x = 2 1/3

Step-by-step explanation:

1 1/4x + 3 = 4 3/4 + 1/2x

- 1/2x                      -1/2x

3/4x + 3 = 4 3/4

        - 3    - 3

3/4x = 1 3/4

3/4x / 3/4 = 7/4 / 3/4

x = 2 1/3

Answer:

22/2=11 <-.-.-.-.-.-

Answer:

average - $19,333.33

Step-by-step explanation:

$28,300, $27,000 , and $ 3,000

total =58,000/3 = 19,333.33

Step-by-step explanation:

Answer:

It's the third one,

Step-by-step explanation:

the only one with the dot in the negatives

Answer:

Locate (0,-6), move up 2, right 1

Step-by-step explanation:

Hi there!

To graph a linear function, we first locate the-intercept, then graph the next point according to the slope.

We're given that the y-intercept is -6. The y-intercept occurs when x=0, so therefore, the point (0,-6) falls on the line.

Locate (0,-6)

Now, to graph the next point, we look at the slope. The slope in this case is 2. This means every time the line travels to the right by 1 unit, it travels up 2 units.

Move up 2, right 1

I hope this helps!

Answer:

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches[tex]^{2}[/tex]

Step-by-step explanation:

The ratio 5;6 and the given longer side is 7.2 in.

Since it is the longer side, the '6' in the ratio is 7.2 in.

Let x be the shorter side

5:6 = x : 7,2

Divide 7.2 to 6.

7.2 ÷ 6 = 1.2

Then multiply 1.2 to 5.

1.2 * 5 = 6

So the shorter side is 6.

L = 7.2

W = 6

Now to find the perimeter, let's use the formula

P = 2L + 2W

Let's put the values in the formula

P = 2(7.2) + 2(6)

P = 14. 4 + 12

P = 26.4

The perimeter is 26.4 inches

To find the area, let's use the formula

A = LW

A = (7.2)(6)

A = 43. 2 inches[tex]^{2}[/tex]

Answer:

shorter side= 6

p= 26.4  

a= 43.2

Step-by-step explanation:

Answer:

4 - 3y

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] (12 - 9y) ← multiply each term in the parenthesis by [tex]\frac{1}{3}[/tex]

= 4 - 3y

The simplification of 1/3(12-9y) using distributive property is 4 - 3y

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

For example, 2( x +y ) can be simplified as 2 × x + 2 × y

= 2x + 2y. This is distributive property.

Similarly, ⅓( 12- 9y) can be simplified as

(1/3 × 12) - (1/3 × 9y)

= 4 - 3y

Therefore 1/3(12-9y) is equivalent to 4 - 3y

learn more about distributive property from

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