what is the common ratio of the geometric sequence -2, 8, -32, 128

Answer:

a) K3050 and b) K1150

Step-by-step explanation:

a) Add all his expenditures

i.e: K300+K150+K100

=K3050

b) Subtract the remaining of his spendings from the total

i.e: K4209 - K3050

=K1150

Answer:

\(f^{8} + 7\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2.5,-0.15,0.50,5/8

Answer:

\(\huge\boxed{\sf |AB| = 8\ units}\)

Step-by-step explanation:

Given the two co-ordinates:

A(x1,y1) = (-4,-8)

B(x2,y2) = (-4,0)

Putting them in the distance formula:

\(|AB| = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB| = \sqrt{(-4-(-4))^2+(0-(-8))^2} \\\\|AB| = \sqrt{(-4+4)^2+(0+8)^2} \\\\|AB| = \sqrt{8^2} \\\\|AB| = 8\ units\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

yeah ikr

Step-by-step explanation:

Answer: What’s the math problem

Step-by-step explanation:

i am little bit confused

but according to me

C and D must be right

hope this is helpful

Answer: Both

Step-by-step explanation:

Answer:

Step-by-step explanation:

You keep the same slope since it's supposed to be parallel. But first you need to write it in slope intercept form. So the y can't have a number in front of it, so you must divided everything after the equal sign by the 3. So the equation becomes y=2/3x−1. Now you plug in the points to find a parallel equation using point slope form y−(4)=(23)(x−(−3)). Then you solve that and you get y=2/3x+6.

The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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Answer:

about 2300

Step-by-step explanation:

Answer:

y = - \(\frac{1}{2}\) x + 4

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

2x + 4y - 12 = 0 ( subtract 2x - 12 from both sides )

4y = - 2x + 12 ( divide through by 4 )

y = - \(\frac{2}{4}\) x + \(\frac{12}{4}\)

y = - \(\frac{1}{2}\) x + 3 ← in slope- intercept form

with slope m = - \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation of the parallel line

to find c substitute (- 2, 5 ) into the partial equation

5 = - \(\frac{1}{2}\) (- 2) + c = 1 + c ( subtract 1 from both sides )

4 = c

y = - \(\frac{1}{2}\) x + 4 ← equation of parallel line

Answer:

y = -(1/2)x + 4

Step-by-step explanation:

Lets look for an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = zero).  Lets rewrite the given equation to conform to this format:

2x+4y-12=0

4y = -2x+12

y = -(2/4)x +(12/4)

y = -(1/2)x +3

This line has a slope of -(1/2).  Parallel lines have the same slope as the reference line.  So the new line will also have a slope of -(1/2) and we can write the new line equation as:

 y = -(1/2)x + b

Any line with a slope of -(1/2) will be parallel.  Any value of b is acceptable.  But we want this line to intersect the point (-2,5), so we need to pick a value of b that forces the line through this point.  To find the value of b to make that happen, enter the point (-2,5) in the parallel line equation from above:

y = -(1/2)x + b

5 = -(1/2)*(-2) + b  for point (-2,5)

5 = 1+b

b = 4

The parallel line that intersects (-2,5) is

  y = -(1/2)x + 4

See the attached graph.

Answer: D. y = 3x + 2

Step-by-step explanation: because that's what it shows in the graph

Answer:

D. y = 3x + 2

Step-by-step explanation:

y = mx + b,

where m = slope = rise/run,

and b = y-intercept

From the graph we see that b = 2, s we have

y = mx + 2

Now we look for the slope. Start at (0, 2), the y-intercept, go up 3, a rise of 3, and right 1, a run of 1 to the next point on a grid line intersection.

m = slope = rise/run = 3/1 = 3

Now we have

y = 3x + 2

Answer: D. y = 3x + 2

The estimated standard error for the sample mean difference is  2.5 .

According to the question

A repeated-measures study comparing two treatments

n = 4

MD(mean difference) = 2

SS (sum of square) = 75

Now,

error for the sample  

Formula for standard error

\(S^{2} = \frac{SS}{n-1}\)

by substituting the value

\(S^{2} = \frac{75}{4-1}\)

\(S^{2} = \frac{75}{3}\)

S² = 25

S = 5 (s is never negative)

Standard error of the estimate for the sample mean difference

As

The standard error of the estimate is the estimation of the accuracy of any predictions.

The formula for standard error of the mean difference

standard error of the mean difference  =\(\frac{standard\\\ error}{\sqrt{n} }\)  

standard error of the mean difference = \(\frac{5}{\sqrt{4} }\)  

standard error of the mean difference = 2.5

Hence, the estimated standard error for the sample mean difference is  2.5 .

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To find the limit of cos(x)/(1-sin(x)) as x approaches (π/2)+, we can use l'Hospital's Rule.

First, we can take the derivative of both the numerator and denominator with respect to x: lim cos(x)/(1 − sin(x)) x → (π/2)+ = lim [-sin(x)/(cos(x))] / [-cos(x)] x → (π/2)+ = lim sin(x) / [cos(x) * cos(x)] x → (π/2)+

Now, plugging in (π/2)+ for x, we get: lim sin(π/2) / [cos(π/2) * cos(π/2)] x → (π/2)+ = 1 / (0 * 0) = undefined

Since the denominator approaches 0 as x approaches (π/2)+, and the numerator is bounded between -1 and 1, the limit does not exist.

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Answer:29x ^442

Step-by-step explanation:

Answer:

1149125

Step-by-step explanation:

29x125x317

=29*x125*x317

=29*x442

=29x442

Answer:

(f - g)(x) = 2x³ + 7x² - 7x - 3

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 2x³ + 7x² - 4x - 5 - (3x - 2) ← distribute parenthesis by - 1

= 2x³ + 7x² - 4x - 5 - 3x + 2 ← collect like terms

= 2x³ + 7x² - 7x - 3

Answer:

\(d = m + 10\\d+m=150\)

Step-by-step explanation:

If Avery wants the amount of dark chocolate (d) to be 10 kg higher than the amount of milk chocolate (m), then the following relationship must be true:

\(d = m + 10\)

If the total amount of chocolate must equal 150 kg, then:

\(d+m=150\)

The system of equations that represent this situation is:

\(d = m + 10\\d+m=150\)

Answer:

look at the picture please

Answer:

From top to bottom;

1,1,3,3

Step-by-step explanation:

mathematically, for an even function;

f(x) = f(-x)

what this mean is that;

f(-1) = f(1)

f(-3) = f(3)

f(-5) = f(5)

f(-6) = f(6)

so we have it that;

f(-1) = 1

f(-3) = 1

f(-5) = 3

f(-7) = 3

Answer:

The value of x is 25.

Step-by-step explanation:

Given that M is the midpoint of LN. So the distance of LM is equals to MN.

\(lm = mn\)

\(43 = 2x - 7\)

Then you can solve it :

\(2x = 43 + 7\)

\(2x = 50\)

\(x = 25\)

Answer:

A)

Step-by-step explanation:

18  - 15÷ 3 = 18 - 5

Answer:

A!

Step-by-step explanation:

This one is easy peasy using PEMDAS.

1)18-15dividedby3

2)18-(15divided by 3)

3) 18-5

TA DA

The total number of milligrams of sodium recommended for a 2000-calorie diet is 2429 mg.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be evaluated to obtain a value.

If one serving of toasted corn kernels contains 170 milligrams of sodium and it represents 7% of the daily value, we can calculate the recommended daily value as follows:

Let X be the total number of milligrams of sodium recommended for a 2000-calorie diet.

7% of X = 170 mg

0.07X = 170 mg

X = 170 mg / 0.07

X = 2428.57 mg

The total number of milligrams of sodium recommended for a 2000-calorie diet is 2429 mg.

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Answer:

3 acute angles with different measures and 1 right angle and 2 acute angles with same measures

Answer:

-6p-1/7

Step-by-step explanation:

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\(y = 2x + 3\)

\(y = - \frac{1}{2} x - 3 \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:y = \cfrac{d}{dx} ( {x}^{ \frac{3}{2} } )= \dfrac{3}{2} \sqrt{x} \)

\(\qquad \tt \rightarrow \:y = \cfrac{d}{dx} \bigg( \cfrac{1}{ {x}^{3} } \bigg)= \cfrac{- 3}{ {x}^{4} } \)

\(\qquad \tt \rightarrow \:y = \cfrac{d}{dx} \bigg( \cfrac{1}{ \sqrt{x}^{} } \bigg)= \cfrac{ - 1}{ 2\sqrt{{x}^{ { 3}{} } }} \)

____________________________________

\( \large \tt Solution \: : \)

properties to be used here :

\(\qquad \tt \rightarrow \:\cfrac{d}{dx}( {x}^{ n } ) = n \sdot{x}^{n - 1} \)

\(\large \textsf{Question : 1} \)

\(\qquad \tt \rightarrow \:y = \cfrac{d}{dx} ( {x}^{ \frac{3}{2} } )\)

\(\qquad \tt \rightarrow \:y = \dfrac{3}{2} x { }^{ \frac{3}{2} - 1 } \)

\(\qquad \tt \rightarrow \:y = \dfrac{3}{2} x { }^{ \frac{3 - 2}{2} } \)

\(\qquad \tt \rightarrow \:y = \dfrac{3}{2} x { }^{ \frac{1}{2} } \)

\(\qquad \tt \rightarrow \:y = \dfrac{3}{2} \sqrt{x} \)

\(\large \textsf{Question : 2} \)

\(\qquad \tt \rightarrow \:y = \cfrac{d}{dx} \bigg( \cfrac{1}{ {x}^{3} } \bigg)\)

\(\qquad \tt \rightarrow \:y = \cfrac{d}{dx} ({ {x}^{ - 3} } )\)

\(\qquad \tt \rightarrow \:y = - 3 { {x}^{ - 3 - 1} } \)

\(\qquad \tt \rightarrow \:y = - 3 { {x}^{ - 4} } \)

\(\qquad \tt \rightarrow \:y = \cfrac{- 3}{ {x}^{4} } \)

\(\large \textsf{Question : 3} \)

\(\qquad \tt \rightarrow \:y = \cfrac{d}{dx} \bigg( \cfrac{1}{ \sqrt{x}^{} } \bigg)\)

\(\qquad \tt \rightarrow \:y = \cfrac{d}{dx} \bigg( \cfrac{1}{{x}^{ \frac{1}{2} } } \bigg)\)

\(\qquad \tt \rightarrow \:y = \cfrac{d}{dx} ({ {x}^{ - \frac{1}{2} } } )\)

\(\qquad \tt \rightarrow \:y = -\cfrac{1}{2} { {x}^{ - \frac{1}{2} - 1} } \)

\(\qquad \tt \rightarrow \:y = -\cfrac{1}{2} { {x}^{ \frac{ - 1 - 2}{2} } } \)

\(\qquad \tt \rightarrow \:y = -\cfrac{1}{2} { {x}^{ \frac{ - 3}{2} } } \)

\(\qquad \tt \rightarrow \:y = \cfrac{ - 1}{ 2{x}^{ \frac{ 3}{2} } } \)

\(\qquad \tt \rightarrow \:y = \cfrac{ - 1}{ 2\sqrt{{x}^{ { 3}{} } }} \)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

To solve this problem, we can use the multiplication principle, which states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things together.

First, we need to choose the last digit of the PIN to be odd. There are 5 odd digits to choose from (1, 3, 5, 7, and 9).

Next, we need to choose the first digit of the PIN. Since it cannot be the same as the last digit, there are only 9 choices left (since 0 is allowed as the first digit).

For the second digit, we can choose from 8 digits (we can't choose the first digit or the last digit, which leaves 8 choices).

For the third digit, we can choose from 7 digits (we can't choose the first digit, the second digit, or the last digit, which leaves 7 choices).

Therefore, the total number of choices for the PIN is:

5 * 9 * 8 * 7 = 2,520

So the answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

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When x < 1/2, the second derivative is negative (e.g., f''(-1) = -12), and when x > 1/2, the second derivative is positive (e.g., f''(2) = 18).

To find the inflection points of the function f(x) = 2x^3 - 3x^2 - 36x, we need to determine where the concavity of the function changes. Inflection points occur when the second derivative of the function changes sign.

First, let's find the first derivative of f(x) by taking the derivative of each term:

f'(x) = 6x^2 - 6x - 36

Next, let's find the second derivative by taking the derivative of f'(x):

f''(x) = 12x - 6

To find the inflection points, we need to solve the equation f''(x) = 0:

12x - 6 = 0

12x = 6

x = 6/12

x = 1/2

Therefore, the inflection point of f(x) occurs at x = 1/2.

It's important to note that an inflection point does not guarantee a change in concavity; it simply indicates a potential change in concavity. To confirm the concavity change, we can evaluate the sign of the second derivative on either side of the inflection point. If the sign changes, then the inflection point is confirmed.

This confirms that the concavity changes at x = 1/2, making it an inflection point for the function f(x) = 2x^3 - 3x^2 - 36x.

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Therefore, there are 53,248 different super subs that can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from at Sandwich Station.

The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. The question is asking how many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from.

To solve this problem, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

Let's use the multiplication principle to solve this problem. There are four different toppings, and we can choose any of the eight toppings for each of the four spots.

Using the multiplication principle, there are

8 x 8 x 8 x 8 = 4096

ways to choose the toppings. Similarly, there are

6 x 6 x 6 = 216

ways to choose the condiments. Lastly, there are 6 different types of homemade bread to choose from. Using the multiplication principle again, there are

4096 x 216 x 6 = 53,248,

which means there are 53,248 ways to make the super subs.

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