What are two different ways to describe the relationship between the values of each digit 8 in 3.884

Answer:

$22.75 more

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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Answer:

Step-by-step explanation:

The formula for Sn of a geometric series with first term a and common ratio r is:

Sn = a((1-r^n)/(1-r))

In this case, the first term a is $1,000, the common ratio r is 1.02 (since she's depositing 2% more each year), and n is 30 (since we're looking for the amount deposited after 30 years).

Plugging in these values, we get:

Sn = 1000((1-1.02^30)/(1-1.02))

Sn ≈ $87,453

Therefore, the answer is D. $87,453.

Answer:

m=-3

x1,y1=1,-5

we have,

y-y1=m(x-x1)

y-(-5)=-3(x-1)

y+5=-3x+3

3x+y+2=0 is the required eqn

Answer:

-7

Step-by-step explanation:

The two clocks will chime at the same time 96 times over the next 24 hours, based on the LCM of the intervals at which they chime.

To determine how many times both clocks will chime at the same time over the next 24 hours, we need to find the least common multiple (LCM) of the intervals at which the clocks chime.

The first clock chimes every 15 minutes, which means it chimes 24 times in a 24-hour period (24 hours × 60 minutes / 15 minutes = 96 intervals).

The second clock chimes every half hour, which means it chimes 48 times in a 24-hour period (24 hours × 60 minutes / 30 minutes = 48 intervals).

To find the LCM of 96 and 48, we can list the multiples of both numbers and find the smallest common multiple:

Multiples of 96: 96, 192, 288, 384, 480, ...

Multiples of 48: 48, 96, 144, 192, 240, ...

From the lists, we can see that the smallest common multiple is 96.

Therefore, both clocks will chime at the same time 96 times over the next 24 hours.

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

1. The type of function which is best represented by the data in the table is; Quadratic.

2. The statement which is true is; The second differences are constant.

3. The type of function which is best represented by the given table is; Linear equation.

It is evident from the task content that the functions which correctly represents each data table is required to be determined.

Since linear functions are functions in which case, the first differences are constant while quadratic functions are functions in which the second differences are constant.

On this note, the first table correctly represents a quadratic function while the second represents a linear function.

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Answer:

B. 5

Step-by-step explanation:

The expression "4 to the power of 5" can be written as 4^5. Here, 4 is the base, and 5 is the exponent. So the exponent in the expression 4 to the power of 5 is option B, 5.

Answer:

C. 180 degrees, 2 units down

Step-by-step explanation:

For 180 degrees rotation, the rule is (x, y) -----> (-x, -y)

Choose a point

Point C (6,2)  -----> (-6,-2)

shift that point two down and it lines up with C'

Answer:

here you go

Step-by-step explanation:

The distance to the sun in meters will be 1.5 x 10¹¹ meters. the correct option is D.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It could be called scientific form.

A numerical indication of the operation of raising to a power that is placed above and to the right of a mathematical expression.

Given that the earth is approximately 92,900,000 miles from the sun and 1 mile = 1.61 x 103 meters.

The distance of the sun in miles will be calculated as:-

1 mile = 1.6 x 10³

92900000 miles = 92900000 x 1610

92900000 miles = 1.5 x 10¹¹ meters

Therefore, the distance to the sun in meters will be 1.5 x 10¹¹ meters. the correct option is D.

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The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

The temperature increased by 15 degrees 6+9=15

Step-by-step explanation:

Hope it helps

Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...

The two digit numbers in that list above all have their digits adding to some other multiple of 3

and so on.

Therefore, the rule is: If the digits add to a multiple of 3, then the original number is a multiple of 3.

The maximum height of the golf ball on Mars is about 48.8 meters.

To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:

0 = -1.9t² + 26t

Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.

To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.

In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:

= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters

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It is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.

what is arthematic equation?

Arithmetic equations are mathematical statements that use numbers and arithmetic operations such as addition, subtraction, multiplication, and division to express the relationship between the quantities involved.

Let's assume that Andrew spends x minutes doing strength training, and according to the problem statement, he spends 60 minutes more running on the treadmill than strength training. So the time he spends running on the treadmill is x + 60.

The total time Andrew spends in the gym is 120 minutes, so:

x + (x + 60) = 120

Simplifying this equation, we get:

2x + 60 = 120

2x = 60

x = 30

Therefore, Andrew spends 30 minutes on strength training and (30 + 60) = 90 minutes on the treadmill.

So, it is not possible for Andrew to have spent 80 minutes running on the treadmill if he spends exactly 120 minutes total at the gym and runs on the treadmill for 60 minutes longer than he does strength training.

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no, it's not possible for andrew to have spent 80 minutes running on the treadmill. if we subtract 80 from 120 (the total) we get 40 which means he had to have spent 40 minutes doing strength training but if we subtract 60 (how many more mins he spent on running than he did strength training) minutes from 80 we get 20. he spent 20 minutes on strength training which adds up to 100 minutes, not 120 minutes.

Step 1: We have:

13u - 6 = 7

13u = 7 + 6

Dividing by 13 at both sides:

13u/13 = 13/13

u = 1

Olivia, now you are ready to find u + 1

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The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

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Answer:

1/3

Step-by-step explanation:

4/12÷4÷4=1/3

The answer is 1/3 or 0.333...

Answer: the answer is 1 over 3

Step-by-step explanation:

The angles that you get when a circle is divided into 4 equal parts, would be four 90 degree angles.

The reason these angles are called 'right angles' is because they create an exact 90-degree angle, signifying one fourth of a complete circle. Every specific angle is named as a 'quadrant,' as it covers a quarter or a quadrant of the circle.

These four perpendicular angles stand side by side - having in common not just one diameter of the circle but also a shared vertex, which is at the center of the circle. Together, they share uniformly the circle into four unique sections - each turning toward a distinct quadrant of the circle parallel to their placement.

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The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Answer:

x=145°

Step-by-step explanation:

180 = 35 + x

x = 180-35

x= 145°

Answer:

³/2 (1.5)

Step-by-step explanation:

∆DEF was enlarged to get ∆ABC. The scale factor would be:

The ratio of any of the side length of ∆ABC to the corresponding side length of ∆DEF.

Thus,

BC:EF = 12:8

= 12/8

= 3/2 = 1.5

Scale factor from ∆DEF to ∆ABC is ³/2 or 1.5

Answer:

X=18

Step-by-step explanation:

Answer:

x = 3.5 units (nearest tenth)

Step-by-step explanation:

The given triangle has a one right angle and two angles each measuring 45°. Therefore, it is a 45-45-90 triangle.

A 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2.  

Therefore, the formula for the ratio of the sides is x : x : x√2 where:

As the hypotenuse of the given right triangle is 5 units:

\(\implies x\sqrt{2} = 5\)

To find the measure of x, solve for x:

\(\implies \dfrac{x\sqrt{2}}{\sqrt{2}} = \dfrac{5}{\sqrt{2}}\)

\(\implies x = \dfrac{5}{\sqrt{2}}\)

\(\implies x =3.5355339...\)

\(\implies x=3.5\; \sf units\;(nearest\;tenth)\)

Therefore, the length of side x to the nearest tenth is 3.5 units.

Answer:

The angles of the parallelogram are 72 degrees and 108 degrees

Step-by-step explanation:

Set up an equation as follows:

2(x+36) + 2x = 360,

It should be set equal to 360 since that this the total number of degrees in the parallelogram.

Solve for x and x = 72

x + 36 = 108