what is the next 3 terms for this sequence? 5,15,45

answer:

x=-2

Step-by-step explanation:

my suggestion for this problem and all problems like it would to turn everything into 6ths. 1/3 would become 2/6. and 2 would become 12/6. leave the negatives. now you'll add 2/6 to -12/6. which will equal 10/6. divide 10/6 by 5/6 and youll get -2. x=-2

Answer:

x = -2

Step-by-step explanation:

● (5/6)x - (1/3) = -2

Add (1/3) to both sides

● (5/6)x - (1/3) + (1/3) = -2 + (1/3)

-2 is (-6/3)

● (5/6)x = (-6/3) + (1/3)

● (5/6)x = -5/3

Move 5/6 to the other side and switch the places of 5 and 6

● x = (-5/3) × (6/5)

● x = -30/15

● x = -2

Answer:

$3.75

Step-by-step explanation:

hope it helps

Answer:

Loan Amount= $4500

Monthly Payment= $600

9 months= $600*9= $5400

Interest = $5400-$4500= $900

The number of late insurance claim payouts per 100 should be measured with a p-chart. Therefore, the correct option is (e) p-chart.

A p-chart is a type of control chart used to monitor the proportion of nonconforming items in a sample, where nonconforming items are those that do not meet a certain quality standard or specification. In this case, the proportion of late insurance claim payouts would be the proportion of nonconforming items.

A p-chart is appropriate when the sample size is constant and the number of nonconforming items per sample can be either small or large. It is used to monitor the stability of a process and to detect any changes or shifts in the proportion of nonconforming items over time.

An X-bar chart and R-chart are used to monitor the mean and variability of a continuous variable, respectively, and would not be appropriate for measuring the number of nonconforming items.

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Using Pythagorean theorem, the value of x in the isosceles triangle is √3

An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.

In this problem given, the value of x is equal to the unknown side too since they're two equal sides.

Using Pythagorean theorem since it's a right-angled triangle;

(√6)² = x² + x²

6 = 2x²

Divide both sides by the coefficient of x

6/2 = 2x²/2

x² = 3

x = √3

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The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

Step-by-step explanation:

You want the coordinates of the image of the triangle defined by A(3, 4), B(4, 2), and C(1, 2) after it has been translated by (-3, 9).

The translation amounts are added to the corresponding coordinates:

  (x, y) ⇒ (x -3, y +9)

  A(3, 4) ⇒ A'(3 -3, 4 +9) = A'(0, 13)

  B(4, 2) ⇒ B'(4 -3, 2 +9) = B'(1, 11)

  C(1, 2) ⇒ C'(1 -3, 2 +9) = C'(-2, 11)

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The missing values are:

BC = 25, BN = 16, NC = 9, and AN = 12

Given:

AB = 20

AC = 15

Using the Pythagorean theorem in triangle ABC:

CB = √AC² + AB²

CB= √20² + 15²

CB= √625

CB= 25

Since, AN is altitude we have ΔNBA~ΔABC and ΔNAC~ΔABC

BN / AN = BA / CB

BN/ 20= 20/25

BN = 16

and, AN / BA = AC / CB

AN /20 = 15/ 25

AN = 12

Now, CN=  CB - BN

CN = 25- 16

CN= 9

BC^2 = 20^2 + 15^2

BC^2 = 400 + 225

Since ΔANC is a right triangle so

AN = √15²-12²

AN = √81

AN = 9

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Answer:

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

Step-by-step explanation:

A bag of skittles contains only red, yellow, and green colors.

The respective ratios are 1:3:5 for those three colors.

We have

red: yellow: green

1:3:5

The sum of the proportion = 1 + 3+ 5 = 9

If there are a total of 36 skittles in the bag, how many of each skittles red, yellow, and green are in the bag?

Hence,

Number of red skittles is calculated as:

1/9 × 36 skittles

= 4 skittles

Number of yellow skittles is calculated as:

3/9 × 36 skittles

= 12 skittles

Number of green skittles is calculated as:

5/9 × 36 skittles

= 20 skittles

Therefore, the number of

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

Answer:

power of ten

Step-by-step explanation:

A power of ten is an exponential expression with 10 as the base. The first few power of tens (nonnegative) are 1, 10, 100, 1,000, and so on.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

wouldn't it be 3:20 P.M.?

Answer:

3:20

Step-by-step explanation:

4:40- 1 hour 3:40- 20 equals 3:20

Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

In a country with a population of 80 million, 28% is susceptible. To calculate the number of susceptible people, multiply the population by the percentage:

80,000,000 * 0.28 = 22,400,000 susceptible individuals

The maximum number of people likely to get infected in the healthy population is the difference between the total population and the susceptible population:

80,000,000 - 22,400,000 = 57,600,000

So, in this country, the maximum number of people likely to get infected in the healthy population is 57,600,000, and in the susceptible population is 22,400,000.

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Answer:

You must know the shape of the graph y = x². Its chart is in the form of an upward parabola. The shape of the graph y = -x² is the same except that it is downward. Finally, to draw the shape of the graph y = -x² + 9, we need to move the previously mentioned graph 9 units upwards.

The formula for the vertex length of a parabolic chart is as follows: x= -b/(2a) b=0 , a= 1 → x= 0, y=-(0)²+9=9

vertex: (0,9)

Answer:

similar = only the angles are the same

congruent = angles and sides are the same

Answer:

The nervous system helps the respiratory system by sending messages to the diaphragm to contract, which is essential for breathing. The diaphragm is a muscle that separates the chest cavity from the abdominal cavity and is responsible for inhaling and exhaling. The nervous system sends signals to the diaphragm to contract, causing it to move downward and expand the lungs during inhalation. During exhalation, the diaphragm relaxes and moves upward, pushing air out of the lungs. Therefore, the nervous system plays a critical role in regulating the diaphragm's movements, ensuring proper oxygenation of the blood, and removal of carbon dioxide from the body.

Comparing only the mean distances, we would infer that Henry jogs for a longer distance than Carl.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

To calculate the mean in the context of this problem, we consider the same period of time.

As we are working with the same period of time and Henry has a larger mean, we can conclude that Henry jogs for a longer distance than Carl.

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a) The area of the first circle is approximately 254.34 square inches

b) The area of the second circle is approximately 70650 square inches.

a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:

r = 18/2 = 9 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 9² = 254.34 square inches

Therefore, the area of the first circle is approximately 254.34 square inches.

b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:

25 feet = 25 x 12 inches = 300 inches

Then we can find the radius by dividing by 2:

r = 300/2 = 150 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 150² = 70650 square inches

Therefore, the area of the second circle is approximately 70650 square inches.

Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.

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Within the relevant range, a curvilinear cost function can be graphed as a curved line. A curvilinear cost function is a cost function where the total cost changes as a function of the level of activity, but not at a constant rate.

This means that as the level of activity increases, the cost per unit may increase or decrease, resulting in a curved relationship between the level of activity and the total cost. In order to determine the optimal level of activity, a manager can use calculus to find the point where the marginal cost equals the marginal revenue.

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Answer:

Step-by-step explanation:

120-16=114

Answer:

106

Step-by-step explanation:

She originally had 120 but then 16 of those 120 apples she sold which means this is subtraction.

120-16 = 104

Hope this helps :D

Answer:

7

Step-by-step explanation:

Answer: I think its 5.423 × 10 ^11

Step-by-step explanation:

The car will travel a distance of 33.34 meter in 2 sec.

The definition of velocity is a vector estimate of the rate & direction of motion.

Some features abut the velocity are-

Now according to the question-

A car is driving at 60 kilometers per hour.

That means car is travelling 60 km in 1 hour.

Velocity of the car = 60km/hr

convert the velocity in m/s

1 km = 1000 m

1 hour = 3600 second.

velocity = (60×1000m)/3600s

velocity = 100/6  m/s

Now, the distance covered by the car in 2 seconds

Distance = velocity×time

Distance = (100/6)×2

Distance = 100/3

Distance = 33.24 (approx)

Therefore, distance covered by the car in 2 second is 33.34 meters.

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Answer:

V=72

Step-by-step explanation:

How I check For volume on a rectangular prism is I first identify three main things

height:4

width:3

length:6

then i plug it into a simple formula

v=W*H*L

so volume=4*3*6=72

so you volume is 72

It is a true statement that; "understanding the effect of any confounding variables on the dependent variable is important to the outcome of an experiment. "

A confounding variable is a variable that is not directly involved in the study but has an impact on the results of the experiment. It is a sort of a third variable but it is able to affect the results that we obtain from the experiment.

Thus, it is a true statement that; "understanding the effect of any confounding variables on the dependent variable is important to the outcome of an experiment. "

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Answer:

8 is correct!

Step-by-step explanation:

each table can seat 5 people (3+2=5) then figure out how many tables that can seat 5 you will need for 40 people, do this by multiplication 5×8=40 so you need 8 tables

Answer: true

Step-by-step explanation:

True, because translation means just to move a figure, not to change a shapes's size, width, height, or any other property of the shape.

Answer:

the paper is too blurry i would help if i could.

Step-by-step explanation: