Which of the following is a geometric sequence with a common ratio of 2?

A) 14, 28, 56, 112, ...
B) 64, 32, 16, 8, ...
C) 87, 85, 83, 81, ...
D) 14, 16, 18, 20, ...

Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

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The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

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Answer 58 1/2:

Step-by-step explanation:

Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

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Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Given data:

The given expression is 8.7+(-1.8).

The given expression can be written as,

8.7+(-1.8)=8.7-1.8

=6.9

Thus, the solution of the given expression is 6.9.

The relationship is linear

The complete question and the line of best fit are added as an attachemnt

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values decreases

This represents a decreasing linear association.

From  the graph, we can see that the x and the y values are positive

So, the domain is x > 0 and the range is y > 0

See attachment for the line of best fit

Using the points on the line, we have

Slope ≈ (30 - 70)/(0 - 5)

Slope ≈ 8

Hence, the slope is approximately 8

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Answer:

360

Step-by-step explanation:

if you rotate it at 90 it will be of same shape but diffeemt position but if it is 360 the result will be same position and same shape

Answer: 360 degrees

Step-by-step explanation:

I took the test, and it is a full rotation back to the og spot.

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

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The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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Answer: 4

Step-by-step explanation:

So, what I do to divide fractions is to turn them into reciprocals, which means changing it into a multiplication problem and turning the second fraction upside down. So, \(\frac{2}{3}\) x \(\frac{6}{1}\). We multiply across, so 2 x 6 is 12, and 3 x 1 is 3, which gets us to \(\frac{12}{3}\). Since this is an improper fraction, we can simplify by dividing 12 by 3 to get 4. Hope this helps! :)

Answer:

4 (C) hope this helps!!

BYEEEEEEEEE!

Answer:

$0.57

Step-by-step explanation:

6.84/12=.57

Step-by-step explanation:

the height of the prism is the missing side of the triangular "side".

Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

10² = 6² + height²

height² = 10² - 6² = 100 - 36 = 64

height = 8 in

the volume of the prism is now

length × width × height / 2 (due to the triangle "cut" only half of the full "box" remains for this prism).

so we have

14 × 6 × 8 / 2 = 14 × 6 × 4 = 336 in³

The length of CD is 26.1 cm.

Given a quadrilateral ABCD which is shown in attached image.

The sum of interior angles of a quadrilateral is equals to 360 degree. For a regular quadrilateral, each angle is equals to 90 degree.

BDC is a triangle and angles in a triangle sum up to 180° .

Therefore, to find ∠BDC

180 - 102° + 52°  = ∠BDC

180 - 154 = 26°

∠BDC = 26°

Angle ABD can be found same way since sum of interior angles in a triangle is 180°.

∠ABD  = 180 - 90 - 35

∠ABD = 55°

Side BD can be find as follows

sin 35° = opposite/hypotenuse

sin 35° = 12/BD

BD sin 35° = 12

BD = 12/sin 35°

BD = 12/0.57357643635

BD = 20.9213615475

BD ≈ 21 cm

Using sine formula we can find side CD

21/sin 52° = CD/sin 102°

CD sin 52° = 21 sin 102°

CD = 21 sin 102°/sin 52°

CD = 0.97814760073  × 21/0.7880107536

CD = 20.5410996154 /0.7880107536

CD = 26.0670295696

Hence, the length of CD is 26.1 cm from the given quadrilateral ABCD which is shown in attached images.

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Answer:

OOk

Step-by-step explanation:

Answer:

slope = 4

points on graph = (0,0), (1,4)

Step-by-step explanation:

line going through quadrants 1 and 3. Straight line.

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

The nearest foot is 19

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

the radius is 3

Step-by-step explanation:

3 to the second power is the only number that would equal 9 and the circle tells us that the ending value of r is 9

hope this helps <3

Answer:

1/4

Step-by-step explanation:

You need to subtract 1/2 from 3/4. To do this, you need to have the same denominator for both fractions. 1/2 can become 2/4.

3/4 - 2/4 = 1/4

Answer:

Frankie ate 1/4 pint more ice cream than Martha.

Step-by-step explanation:

1/2 is equal to 2/4.

3/4 - 2/4 = 1/4.

Hope attachment helps (✿^‿^)

The cross section can be of these shapes square and triangle are; A, D

A cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.

An instance of a go-segment would be a circle. A cross-section is seen whilst a 3-dimensional picture is reduce through a plane.

Then the case of the cone, a circular go-segment emerges while the cone is cut parallel with its base

The go-sectional region is the location of a 3-dimensional shape which is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.

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Answer:

where is the graph

Step-by-step explanation:

The area covered by the signal is 181.37 m²

Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m

The area of a circle of radius R is given by:

A = 3.14*R²

Then the area of a fourth of a circle is:

A = (3.14/4)*R²

Replacing the value of the radius in the formula we will get:

A =  (3.14/4)*(15.2m)² = 181.37 m²

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Answer:

24,840,000

Step-by-step explanation:

The number in the ten thousands place is 3.  The number to the right of it is 7.  Since 7 ≥ 5, we round up the 3 to a 4.

24,837,618 ≈ 24,840,000

Answer:

To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions. Let's look at the ratio 32, the ratio of the number of stars to the number of circles. Multiply both the numerator and denominator by 2.

Step-by-step explanation:

To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions. Let's look at the ratio 32, the ratio of the number of stars to the number of circles. Multiply both the numerator and denominator by 2.

Since the inflation was exactly increased to the same percentage as the salary increase of Jordan, the increase in his purchasing power is zero.

Inflation is a sustained increase in the general price level of goods and services in an economy over a period of time. When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation reflects a reduction in the purchasing power of money.

If the pay raise is not above the percentage of the inflation then there would be no net increase in the purchasing power.

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The correct equation of the circle with center (0,0) that passes through the point (-6,-6) is:

(x + 6)² + (y + 6)² = 72

Please note that the equation represents the circle with center (0,0) and radius √72.\(\)

Answer:

The equation of a circle with center (0,0) that passes through the point (-6,-6) is:

(x - 0)² + (y - 0)² = r²

where r is the radius of the circle. Since the center of the circle is (0,0), we can use the distance formula to find the radius:

r = √(0 - (-6))² + (0 - (-6))² = √(6² + 6²) = √72

Therefore, the equation of the circle is:

x² + y² = 72