The first three terms of a geometric sequence are as follows.
160, 80, 40
What is the next two terms of this sequence

Answer:

mans latvietis nav lielisks, bet spordai būtu 18 āboli

jūs sadalītu 28 ar 2, tad jums būtu 14 abiem, pēc tam paņemiet 4 ābolus no aivaram un atdodiet šos četrus sportaai

Step-by-step explanation:

Answer: Jacob will be 16 (16.5) years old, which is half of Todd's age, in 4 years.

I respect the Todoroki profile pic :)

Step-by-step explanation:

33 ÷ 2 = 16.5

1/2 of Todd's age = 16.5 (16)

16 - 12 = 4 years (4.5 years to be specific)

The graph of the equation is attached below and this can be determined by using the formula of the volume of the cone and the slope-intercept form of the line

Given :

For cones with a radius of 6 units, the equation V=12h relates the height h of the cone, in units, and the volume V of the con, in cubic units.

The volume of the cone is given by the formula:

v = 1/3. π .r².h

Now, substitute the value of r in the above formula.

v = 12πh

Now, compare this equation with a slope-intercept form which is given by:

y = mx + c

where m is the slope and c is the y-intercept.

From comparing the equation, it can be concluded that:

y = V

x = h

c = 0

m = 12

Now, draw the graph of the line that passes through the origin. The graph is attached below.

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Answer:

6+x

Step-by-step explanation:

An expression is a set of operations without an equal sign. This question is asking which operation is being performed. The question states that there should be six more than x, this means 6 is being added to x. So, addition should be used to make the expression.

Answer:

\(v=-18,14\)

Step-by-step explanation:

\(2|v+2|-41=-9\\2|v+2|=32\\|v+2|=16\\\\v+2=16\\v=14\\\\v+2=-16\\v=-18\)

Answer: 7.755 × 10²

Step-by-step explanation:

    To write in scientific notation we write the number as being between 1 and 10 which is then multiplied by a power of 10 so it is still equivalent.

775.5 / 100 = 7.755

[✓] 1 < 7.755 < 10

    Checking our work.

[✓] 7.755 × 10² = 775.5

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Answer:

Rate is 1.1333 words per second

Step-by-step explanation:

We understand rating as frequency or speed of doing something per time (seconds mainly)

\({ \green{ \tt{rate = \frac{item \: quantity}{time} }}} \\ \)

Let's find rate in terms of seconds (words per second)

\({ \rm{rate = \frac{34 \: words}{ (\frac{1}{2} \times 60) \: seconds} }} \\ \\ { \rm{rate = \frac{34}{30} }} \\ \\ { \rm{rate = 1.133 \: \: words \: per \: second}}\)

Answer:

Step-by-step explanation:

5000 at 4% =200      (5000*0.04)

5000 at 8% = 400      (5000*0.08)

3,500 at 12% = 420     (3500*0.12)

200+400+420 = 1020

Her commission is 1,020 dollars :)

Answer:

The last one is the answer

Answer: For each hour that Michelle drove, she travelled an additional 50 miles.

Step-by-step explanation:

Test each option to see its accuracy

Calculate the slope:

\((x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50\)

This means that Michelle drove 50 miles per hour.

The other three options are wrong because if you bring in:

into your function- y = -50x + 350, you would not get the stated miles.

Answer:

Step-by-step explanation:

Equation:

-3k = 108

We need to separate -3 from k. So we must do the inverse operation.

Divide both sides by -3

k = -36

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Answer: Option 4 - 1440

Step-by-step explanation:

2 Square Sides : Take 12 times 12 and times by two for both sides.

12 x 12 = 144     144 x 2 = 288

4 rectangular sides : The multiplication of 12 times 24

12 x 24 = 288    288 x 4 = 1152

Added All Together : 288 + 1152 = 1440

There are 144 possible sequences of chip colors.

We can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.

Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:

Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144

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Step-by-step explanation:

It will be 25. Because if you take 7 x 7 = 49 and then 24 x 24 = 576. Then add uo 49+579=625. Then since its elevated to 2 (sorry for my bad english) you have to take square root of 625 = 25. Hope this helped brother/sister

Answer: No Solutions

Step-by-step explanation:

8w + 5= 4 (2 w+1)=

8w+5=(4)(2w)+(4)(1)

8w+5=8w+4

    -8w      -8w

5=4

-5  -5

0=-1

Which means there are No Solutions.

Answer:

8w+5=4(2w+1)

8w+5=8w+4

collect like terms

8w-8w = 4-5

0=-1

there is no solution

Answer:

4th is correct

Step-by-step explanation:

As the object moves in forword direction

so F2 must have great magnitude.

HOPE THIS HELP YOU FOR ANY QUESTION PLEASE ASK ME

The cor() returns the correlation between two variables.

Correlation shows us how strong the relationship is between two variables.

Hence, option (c) is the correct choice.

Correlation quantifies the intensity of a link between two variables and is symmetrical, meaning that the correlation between A and B is the same as the correlation between B and A.

Correlation is a statistical term that describes the degree to which two variables are linearly connected (meaning they change together at a constant rate). It's a common way of explaining simple interactions without stating a cause and effect relationship.

In R, the cor() function is used to calculate the correlation coefficient between two vectors. Correlations may be generated using the cor() function, while covariances can be generated using the cov() function. The type of correlation is specified.

There are three options: Pearson, Spearman, and Kendall.

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The complete questions should be like:

A data analyst is using statistical measures to get a better understanding of their data. What function can they use to determine how strongly related are two of the variables?

A sd()

B mean()

C cor()

D bias()

The value of 12x is -60, if x = -5.

Given expression is 12x, if x = -5

To solve the expression we have to compute the x value in the given expression:

= 12x

= 12(-5)

Now we have to simplify 12(-5) by multiplying negatives

= -12*5

Multiplying an odd number of negative numbers gives a negative number.

So, Now we have to multiply the constants, that equals to

= -60

Hence the answer is the value of 12x is -60, if x = -5.

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The value of C is acos(±√(1/10)). In spherical coordinates, the cone 9z^2=x^2+y^2 has the equation phi = c, where phi represents the angle between the positive z-axis and the line connecting the origin to a point on the cone.

To find c, we can use the relationship between Cartesian and spherical coordinates:

x = rho sin(phi) cos(theta)
y = rho sin(phi) sin(theta)
z = rho cos(phi)

Substituting x^2+y^2=9z^2 into the Cartesian coordinates, we get:

rho^2 sin^2(phi) cos^2(theta) + rho^2 sin^2(phi) sin^2(theta) = 9rho^2 cos^2(phi)

Simplifying this equation, we get:

tan^2(phi) = 1/9

Taking the square root of both sides, we get:

tan(phi) = 1/3

Since we know that phi = c, we can solve for c:

c = arctan(1/3)

Therefore, the equation of the cone 9z^2=x^2+y^2 in spherical coordinates is phi = arctan(1/3).

In spherical coordinates, the cone 9z^2 = x^2 + y^2 can be represented by the equation φ = c. To find the constant c, we first need to convert the given equation from Cartesian coordinates to spherical coordinates.

Recall the conversions:
x = r sin(φ) cos(θ)
y = r sin(φ) sin(θ)
z = r cos(φ)

Now, substitute these conversions into the given equation:

9(r cos(φ))^2 = (r sin(φ) cos(θ))^2 + (r sin(φ) sin(θ))^2

Simplify the equation:

9r^2 cos^2(φ) = r^2 sin^2(φ)(cos^2(θ) + sin^2(θ))

Since cos^2(θ) + sin^2(θ) = 1, the equation becomes:

9r^2 cos^2(φ) = r^2 sin^2(φ)

Divide both sides by r^2 (r ≠ 0):

9 cos^2(φ) = sin^2(φ)

Now, use the trigonometric identity sin^2(φ) + cos^2(φ) = 1 to express sin^2(φ) in terms of cos^2(φ):

sin^2(φ) = 1 - cos^2(φ)

Substitute this back into the equation:

9 cos^2(φ) = 1 - cos^2(φ)

Combine terms:

10 cos^2(φ) = 1

Now, solve for cos(φ):

cos(φ) = ±√(1/10)

Finally, to find the constant c, we can calculate the angle φ:

φ = c = acos(±√(1/10))

So the cone equation in spherical coordinates is φ = c, where c = acos(±√(1/10)).

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Answer:

X =8

Step-by-step explanation:

DF = DE + EF

15 = X+1 + X-2

16 = 2X

X = 8

The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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Answer:

should be x^2-9/x-3

Answer:

b probably

Step-by-step explanation:

The index "i" is an integer, then the "pth" percentile is simply the data value in position "i".

The answer depends on the specific definition used for computing percentiles. However, the most common convention is to use linear interpolation, in which the "pth" percentile is the weighted average of the data values in positions "i" and "i+1", where "i" is the integer part of the index of the "pth" percentile, with weights given by the fractional part of the index. In other words, if "d(i)" and "d(i+1)" are the data values in positions "i" and "i+1", respectively, and "f" is the fractional part of the index, then the "pth" percentile is given by:

(1-f) * d(i) + f * d(i+1)

If the index "i" is an integer, then the "pth" percentile is simply the data value in position "i".

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The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\(\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}\)

Now, differentiate P with respect to x, and we get,

\(\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}\)

Solving the above equation to zero, we get,

\(\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}\)

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\(\begin{aligned}y&=108-36\\y&=72\end{aligned}\)

Thus, the two positive numbers are 36 and 72.

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This implies that the number with 0s is a multiple of 1999 too.

The statement "|a – b| is a multiple of 1999" means that the absolute value of the difference between two integers 'a' and 'b' is divisible by 1999. In other words, if we subtract 'b' from 'a', the result is a multiple of 1999. For example, if 'a' is 6000 and 'b' is 4002, then |a-b| is equal to |6000-4002| = 1998, which is divisible by 1999.

The statement "this is a number that ends with 0s: 11…100…0" refers to a number that has some 1s followed by some 0s. For example, 1100, 111000, and 11110000 are all numbers that end with 0s. The number given in the statement has 'n' 1s followed by 'm' 0s, where 'n' and 'm' are positive integers.

Now, if we consider the number without the 0s, i.e., the number that has only 'n' 1s, then we can represent it as (10^n - 1)/9. For example, if 'n' is 3, then the number without 0s is (10^3 - 1)/9 = 111. Since 10 and 1999 have no common dividers other than 1, we can say that (10^n - 1) is divisible by 1999 if and only if 10^n - 1, when divided by 1999, leaves a remainder of 0. In other words, 10^n is congruent to 1 (mod 1999).

Now, if we consider the original number that ends with 0s, we can write it as (10^n - 1)/9 * 10^m. Since 10^n - 1 is divisible by 1999, we can say that the product (10^n - 1)/9 * 10^m is also divisible by 1999. Therefore, the number that ends with 0s is a multiple of 1999.

In summary, if |a - b| is a multiple of 1999 and we construct a number that ends with 0s using the formula (10^n - 1)/9 * 10^m, then the resulting number without 0s (i.e., (10^n - 1)/9) is also divisible by 1999. This implies that the number with 0s is a multiple of 1999 too.

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Note that the depreciation for this vehicle using method 2 will be $340.

To calculate the depreciation using method 2, we need to multiply the cost of the car by the depreciation rate per mile, which is given in cents per mile.

First, we need to calculate the total depreciation for the car in cents by multiplying the miles driven by the depreciation rate per mile:

Total depreciation = Miles driven x Depreciation rate per mile

Total depreciation = 10,000 x 3.4 cents per mile

Total depreciation = 34,000 cents

Next, we need to convert the total depreciation from cents to dollars by dividing it by 100:

Total depreciation = 34,000 cents ÷ 100 cents/dollar

Total depreciation = $340

Therefore, the depreciation for this vehicle using method 2 will be $340.

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Answer:

the answer is A

Step-by-step explanation:

Answer:

The calculation that would increase 275 by 10%:

275 x ( 1 + 10%) = 275 x (1 + 10/100) = 275 x 110/100 = 302.5

Hope this helps!

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50/3 is the minimum function value.

∇f(x,y,z)=(2x,4y,6z)

∇g(x,y.z)=(1,2,3)

set up the system of equations:

2x=λ

4y=2λ

6z=3λ

x+2y+3z=10-----(1)

solve the first three equations for λ.

2x=λ

2y=λ

2z=λ

From these three equations, we conclude that

x=y=z.

Plug this into the constant equation.

x+2y+3z=10

x+2x+3x=10

6x=10

x=3/5

Therefore, there is one point of interest and it occurs at (5/3,5/3,5/3).

f (5/3,5/3,5/3)=50/3

This is the minimum function value. Notice that the function is unbounded above and therefore has no maximum.

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