A geometric sequence has these properties.


What is the 7th term of this sequence?

The property of real numbers that was applied in the equation, 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2), is known as the: distribution property of multiplication.

The distribution property of multiplication is one of the properties of real numbers which states that, given that a(c + d), then we would have:

a(c) + a(d) = ac + ad.

Given the expression, 3.8+(−4.8+(−6.2)), applying the distribution property of multiplication will give us:

(3.8+(−4.8))+(−6.2).

Therefore, the property of real numbers that was applied in the equation, 3.8+(−4.8+(−6.2))=(3.8+(−4.8))+(−6.2), is known as the: distribution property of multiplication.

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The system of inequalities is y ≤ 12 - x and y ≥ 8 - (3/5)x and the point (2 , 8) satisfies both inequalities.

A mathematical statement known as an inequality contrasts two algebraic expressions using the greater-than (>), less-than (<), and other inequality symbols. A compound inequality is a pair of inequality related by and or or or. The properties of inequalities will be used in this course to solve linear and compound inequalities in one variable. Absolute-value equations and inequalities continue to be studied.

While there are many similarities between solving equations and solving inequalities, we must also take the direction of the inequality into consideration.

Now let us form the two inequalities:

If x is the number of hours she worked babysitting and y is the number of hours she spent lifeguarding then

x + y ≤ 12

or, y ≤ 12 - x

Now if she makes 12 dollars babysitting and 20 dollars lifeguarding then

12 x + 20 y ≥ 160

or , 20y ≥ 160 - 12x

or , y ≥ 8 - 3/5x

Let us solve the inequalities graphically.

From the graph we can see that

the point (2 , 8) satisfies both inequalities.

So if Naomi works 2 hours babysitting and 8 hours lifeguarding she can satisfy both conditions.

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Step-by-step explanation:

the line equation is in the slope-intercept form.

that looks like

y = ax + b

"a" is the slope (always the factor of x). "b" is the y-intercept (the y value when x = 0).

so, when it says "the same slope", we know we have to use the same factor of x.

and yes, the coordinates of a point are (x, y). so, you really need to use it in the places of x and y to get "b".

9.

y = -4x + b

2 = -4×0 + b = b

so, yes, the equation is

y = -4x + 2

but as you can see : b is NOT y in general.

10.

y = 2/3 x + b

-1 = 2/3 × 4 + b = 8/3 + b

now, let's multiply both sides by 3 to get rid of the fraction :

-3 = 8 + 3b

-11 = 3b

b = -11/3

so, the equation is

y = 2/3 x - 11/3

or

y = 1/3 × (2x - 11)

Answer:

2

-

2 - 4 ^ 5

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Red marbles = r

Black marbles = b

Red : Black

60  :   40

  r   :   b              

40r = 60b

r = (60/40)b

Red : Black

 4   :    3

 r    :  b + 9        

3r = 4(b+9)

3r = 4b + 36

3((60/40)b) = 4b + 36

(9/2)b = 4b + 36

(9/2)b - 4b = 36

(1/2)b = 36

b = 72  This is the original amount of black marbles

They added 9 after this, so

72 + 9 = 81

Answer:

13.01

Step-by-step explanation:

The zero next to the 7 is the hundredths place.

13.007

Drop the 7.

Now you have 13.00

Since 7 is from 5 to 9, the last zero goes up 1 to 1.

Answer: 13.01

Answer:

13.01

Step-by-step explanation:

13.00|7

When the number is 5 or higher round up

13.01

The product in scientific notation is 1.36 x 10^22

The product expression is given as:

3.2 x 1012 and 4.25 x 109

Express the product, properly

3.2 x 10^12 x 4.25 x 10^9

Regroup the factors

3.2  x 4.25 x 10^12 x 10^9

Evaluate the product

13.6 x 10^21

Rewrite as:

1.36 x 10^22

Hence, the product in scientific notation is 1.36 x 10^22

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Answer:

c 1.36 x 1012

explanation:

Width is 24 & Length is 12 of a rectangle.

What is rectangle short answer?

give,

Perimeter = 72

Width = 2*Length

Let P = Perimeter

Let W = Width

Let L = Length

Knowing

P = 2L + 2W = 72

W = 2L

We can rewrite everything in terms of Length

72 = 2L + 2(2L)

72 = 2L + 4L

72 = 6L

72/6 = L

12 = L

W = 2L

W = 2(12) = 24

Width is 24

Length is 12

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Answer: 19

Step-by-step explanation:

2+1+1+12+3=19

Answer:

2

Step-by-step explanation:

Because 2 goes into 24, 36 and 50.

Answer:

91/7=13

so x=11×13

x=143

Dividing the number 5 by 4 gives a rational number 5/4.

The word 'rational' comes from the word 'ratio.'

For the given expression;

When 5 is divided by the number 4, 4 will not completely divide the number 5 as 5 is not the multiple of 4.

Thus, dividing 5 by 4 gives the rational number 5/4.

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Answer:

[tex]e=\frac{-5e-90}{216}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}d+\frac{4}{9}e=-2d+\frac{7}{18}e-1[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7}{18}e-1 < - Muiltiply[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7e}{18}- < - Muiltiply Again\\[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}-\frac{4e}{9}=-2d+\frac{7e}{18}-1-\frac{4e}{9} < - Subtract BothSides[/tex]
[tex]\frac{2}{5}d=-2d-\frac{e}{18}-1 < - Simplify[/tex]
[tex]\frac{2}{5}d+2d=-2d-\frac{e}{18}-1+2d < - AddToBothSides[/tex]
[tex]\frac{12}{5}d=-\frac{e}{18}-1 < - Simplify[/tex][tex]\frac{12d}{12}=-\frac{\frac{5e}{18}}{12}-\frac{5}{12} < - DivideBothSides[/tex]
[tex]e=\frac{-5e-90}{216}[/tex]

The measure of angles are

i) Angle ABD = 67°

ii) Angle CBD = 67°

iii) Angle ABC = 134°

We have been given that ray BD bisects angle ABC and also

Angle ABC = (25x+34)°

Angle CBD = (11x + 23)°

Note that angle ABC = angle ABD + angle CBD          (1)

And angle ABD = angle CBD = (11x + 23)° as it is bisected into two equal half.

Therefore putting the required values of angle in equation (1) we get

          (25x+34)° = 2(11x+23)°

           25x+34 = 22x+46

           25x – 22x = 46 – 34

                3x = 12

                  x = 4

Hence,   angle ABD = (11*4 + 23) ° = 44+23 = 67°

               Angle CBD = (11*4 + 23) ° = 44+23 = 67°

               angle ABC = (25*4 + 34)° = 100+34 = 134°

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Answer:

No.

Step-by-step explanation:

The function would be a discrete function if the individual points in the function didn't share the same x-coordinates. Both the points (0,1) and (0,3) share the same x-coordinate, x=0, so the function doesn't pass the vertical line test.

∠24°

What is an inscribed angle in a circle?

Inscribed angles are angles whose vertices are on a circle and that intersect an arc on the circle. The measure of an inscribed angle is half of the measure of the intercepted arc and half the measure of the central angle intersecting the same arc.

given that intercepted arc = ∠48°

The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.

If the intercepted arc is twice the size of the inscribed angle, then the inscribed angle is half the size of the intercepted arc. So if the intercepted arc is 48 degrees, the inscribed angle is 48 / 2 = 24 degrees.

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Answer:

11

Step-by-step explanation:

90=55+3e+2

33=3e

e=11

Step-by-step explanation:

= -7ab² + 9a³b

= -7b × ab + 9a² × ab

= ab × (-7b + 9a²)

Answer: -r(8r^3-2r-3)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The slope of a line is written as a fraction of the vertical distance to the horizontal distance. The line drops down from (0,1) to (4,-2). This is a vertical distance of -3 and a horizontal distance of 4. The slope if the fraction -3/4.

Answer:

[tex] \sf \: b) \: \frac{ - 3 \: }{ 4} [/tex]

Step-by-step explanation:

The coordinates are,

→ x1 = 4, y1 = -2

→ x2 = -4, y2 = 4

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Now the required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (4 -(-2))/(-4 - 4)

→ m = (4 + 2)/-8

→ m = 6/-8

→ [ m = -3/4 ]

Hence, the option (b) is correct.

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

Speed is simply distance traveled per unit time.

Speed = distance / time

Given the data in the question;

First, convert the unit of distance from miles to meter.

Distance = 26.2 miles = ( 26.2 × 1609.34 )m = 42164.708m

Now, plug the values into the equation and solve for time.

Speed = distance / time

4.25m/s = 42164.708m / time

Time = 42164.708m ÷ 4.25m/s

Time = 9921.1077647s

Next, convert to hours,

Time = 9921.1077647 ÷ ( 60 × 60 )

Time = 9921.1077647 ÷ 3600

Time = 2.76 hours

Given the distance and average speed, the runner will take approximately 2.76 hours to complete the marathon.

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Based on the values in b77 b81  function can automatically return the value in c77 is Min().

How do you return a value in Excel?

Reason:

The Excel MIN function returns the smallest numeric value in a range of values. Since $721 is the minimum out of the given 5 values, we use the MIN function.

There's no such function as smallest, lowest and Bottom in excel.

The floor function rounds a given number down to the nearest specified multiple.

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Answer:

Step-by-step explanation:

The answer is 63

hope this helps :)

Answer:

4a.        [tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]

4b.        [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]

Step-by-step explanation:

The expression for problem (4a) is

[tex]\frac{x-1}{4x-2}-\frac{5-2x}{3-6x}[/tex]

Least Common Multiplier of the denominators. The easiest way to do this is to simply multiply the denominators together.

LCM of [tex]4x-2,\:and\;3-6x[/tex]

But first, let's simplify the two expressions by factoring

[tex]4x-2 = 2(2x-1)[/tex] and

[tex]3-6x = -3(1-2x) = 3(2x - 1)[/tex]

[tex]2(2x-1) -3(2x-1)[/tex]

Multiply the coefficients 2 and -3 to get -6 and find an expression that appears in both.

This gives LCM as [tex]6(2x-1)[/tex]

[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:6\left(2x-1\right)[/tex]

For [tex]\:\frac{x-1}{4x-2}[/tex] [tex]\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3[/tex] since [tex]3(2x-1) = 6x -1[/tex]

[tex]\frac{x-1}{4x-2}=\frac{\left(x-1\right)\cdot \:3}{\left(4x-2\right)\cdot \:3}=\frac{\left(x-1\right)\cdot \:3}{6\left(2x-1\right)}[/tex]

[tex]\mathrm{For}\:\frac{5-2x}{3-6x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:-2[/tex] since

[tex]-2(3-6x) = (-6 +12x) = -6(-1+12x) = -6 + 12x = 6(2x-1) = 12x - 6 = 6(2x-1)[/tex]  

We get

[tex]\frac{5-2x}{3-6x}=\frac{\left(5-2x\right)\left(-2\right)}{\left(3-6x\right)\left(-2\right)}=\frac{-2\left(5-2x\right)}{6\left(2x-1\right)}[/tex]

Since the denominators are the same, we can apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

[tex]=\frac{\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)}{6\left(2x-1\right)}[/tex]

Numerator [tex]\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)=\left(x-1\right)\cdot \:3+2\left(5-2x\right)[/tex]  becomes

[tex]3\left(x-1\right)+2\left(5-2x\right)[/tex] = [tex]3x - 3 + 10x - 4x = -x + 7[/tex]

Therefore the expression result is

[tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]

Part (b)

Note that [tex]9x^2-1 = (3x+1)(3x-1) \textrm{using the property} (a+b)(a-b) = a^2-b^2[/tex]

So the LCM is [tex]=\left(3x+1\right)\left(3x-1\right)[/tex] = [tex](3x+1)(3x-1)[/tex]

[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\; (3x+1)(3x-1)[/tex]

Multiply the second term in the expression by [tex]3x+1[/tex] and subtract from the first term

==>  [tex]\frac{2x+3}{(3x+1)(3x-1)} - \frac{7(3x+1)}{(3x-1)(3x+1}[/tex]

==> [tex]\frac{2x+3}{9x^2-1} - \frac{7(3x+1)}{9x^2-1}[/tex]

==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]

==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]

==> [tex]\frac{2x+3-21x-7}{\left(3x+1\right)\left(3x-1\right)} \\[/tex]

==> [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]

Answer:

For f (x):

f (x) = (x + 3) ^ 2 - 2

For x = -1

f (-1) = (-1 + 3) ^ 2 - 2

f (-1) = (2) ^ 2 - 2

f (-1) = 4 - 2

f (-1) = 2

For x = 3

f (3) = (3 + 3) ^ 2 - 2

f (3) = (6) ^ 2 - 2

f (3) = 36 - 2

f (3) = 34

AVR = ((34) - (2)) / ((3) - (- 1))

AVR = 8

For g (x):

linear graph with and intercept of negative 3 over 2 and x intercept of 3

y = mx + b

b = -3/2

For me we have:

0 = m (3) - 3/2

3m = 3/2

m = 1/2

The function g (x) is:

g (x) = (1/2) x - 3/2

For x = -1

g (-1) = (1/2) (- 1) - 3/2

g (-1) = -1/2 - 3/2

g (-1) = -4/2

g (-1) = -2

For x = 3

g (3) = (1/2) (3) - 3/2

g (3) = 3/2 - 3/2

g (3) = 0

AVR = ((0) - (- 2)) / ((3) - (- 1))

AVR = 1/2

For h (x):

Using the table we have:

AVR = ((62) - (14)) / ((3) - (- 1))

AVR = 12

Step-by-step explanation:

Answer:

from least to greatest:

1) g (x)

2) f (x)

3) h (x)

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the 3 consecutive even integers are x , x + 2 and x + 4 , then their sum is

x + x + 2 + x + 4 = 72 , that is

3x + 6 = 72 ( subtract 6 from both sides )

3x = 66 ( divide both sides by 3 )

x = 22

x + 2 = 22 + 2 = 24

x + 4 = 22 + 4 = 26

the 3 consecutive even integers are 22, 24 , 26

Answer: Ok I don’t have the answer but I have an example!

Step-by-step explanation: Solve for x and check: x + 5 = 3. Solution.

I hope this help maybe it might or might not give you the answer for your question I tried. ✨I hope this help!✨

Answer:

A.

Step-by-step explanation:

In the 2nd Quadrant, the y is POS and the x is NEG. That's what will happen if reflected from the 1st Quadrant over the Y axis.

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation: i bet your ray r stands for g