Answers
The first five terms would be -4, -20, -100, -500, and -2500 respectively.
A series is an ordered list of numbers that follow a certain pattern when appearing one after the other in the list. Series and sequences are often used in our day-to-day lives. Series are of various types - arithmetic Progression, Geometric Progression, and Hypergeometric series. \(n^{th}\) term of the series is calculated by substituting n for the term to be calculated in the formula -4.\(5^{n-1}\)
Calculation of the first five terms of the given series -
\(a_{1}\)= -4.\(5^{1-1}\)= -4(1) = -4
\(a_{2}\)= -4.\(5^{2-1}\)= -4(5) = -20
\(a_{3}\)= -4.\(5^{3-1}\)= -4(25) = -100
\(a_{4}\)= -4. \(5^{4-1}\)= -4(125) = -500
\(a_{5}\)= -4.\(5^{5-1}\)= -4(625) = -2500
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Related Questions
Which graph represents the solution set of this inequality?
- 11 - 20 > 1
Choose 1 answer:
-10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5
Help me
Answers
Answer:
It's C
Step-by-step explanation:
-11-2d is greater of equal to 1
add 11 to both sides to get
-2d is greater of equal to 12
divide -2 to both sides which flips the greater than sign to less than
getting d is less than or equal to -6
an elevator is designed to raise a mass of 1.5 ton at a constant speed of 7.5 m/s, using an electric motor. what should be the minimum power rating of the motor, in kw? (1 ton = 1000 kg)
Answers
110.25 kW. The minimum power rating of the motor can be calculated using the formula for power, P = Fv, where P is the power, F is the force, and v is the velocity.
First, we need to convert the mass from tons to kilograms:
1.5 ton = 1.5 x 1000 kg = 1500 kg
Next, we need to calculate the force required to lift the mass at a constant speed. Since the elevator is moving at a constant speed, the force required is equal to the weight of the mass:
F = mg
F = (1500 kg)(9.8 m/s^2)
F = 14700 N
Now, we can plug in the values for force and velocity into the formula for power:
P = Fv
P = (14700 N)(7.5 m/s)
P = 110250 W
Finally, we need to convert the power from watts to kilowatts:
P = 110250 W / 1000
P = 110.25 kW
Therefore, the minimum power rating of the motor should be 110.25 kW.
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9. - Laura, Raúl y Miguel compraron un terreno de 900 metros cuadrados con valor de 540,000 pesos.
Laura puso 300,000 mil pesos, Raúl puso 200,000 mil pesos y Miguel 40,000 mil pesos. ¿Qué cantidad
de terreno le debe tocar a Laura?
a) 600 m2
b) 24 m2 c) 500 m2 d) 30 m2
Answers
The amount of yard that has to be given to Laura is c) 500 m2
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information:
Total of money = 540 000
Laura's money = 300 000
Lets represent the amount of money Laura gave:
Laura's % = (300 000 / 540 000) * 100
Laura's % = 30/54 * 100
Laura's % = 5/9 * 100
Laura's % = 55.56%
The amount of yard should be for Laura is:
Laura's yard = Total yards area * Laura's %
Laura's yard = 900 m^2 * 55.56%
Laura's yard = 500 m^2
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The equation 4x – 45 = y is used to find your profit, y, in dollars from buying $45 of supplies and washing cars for $4 each. What does the x stand for?
Answers
If you was to wash 100 cars the equation would be
4 x 100 = 400
400-45= 355
Profit = $355
Find the measure of the angle
Answers
Answer:
27
Step-by-step explanation:
The triangle shown is an isoceles triangle. This means that there are two congruent base angles and a vertex angle. In this case, angle X and angle Y are the base angles, so we can set up an equation to first find the value of t.
5t - 13 = 3t + 3
2t - 13 = 3 (Subtract 3t from both sides)
2t = 16 (Add 13 to both sides)
t = 8 (Divide both sides by 2)
Now that we have the value of t, we can plug it back in to the expression for angle X to find its measure.
5(8) - 13
40 - 13
27
So, the measure of angle X is 27
Ian makes a Fish Pie for 15 people. Work out how much Butter he needs.
Answers
Answer:
10
Step-by-step explanation:
2 butter = 160
160×4=910
.
.
.
explanation: since he needs 80g of butter to make fish pie for 6 people he would need 160g for 12 people. then you’d have to make for 3 more people which is half of 6 so you would need half the amount of butter for the 3, which is 40g of butter. then you just add up the amount of butter 160+40=200g of butter to make a fish pie for 15 people.
Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not similar, explain why.
Answers
Angle JLK = Angle JMN
Angle LJK = 180 -65 -50 (Angles sum of triangle)
Angle LJK = 65 Degrees
Angle LJK = Angle MJN (Vert. Opp. Angles)
Angle JNM = 180 - 65 -50 (Angles sum of triangle)
Angle JNM = 65 Degrees
Angle JNM = Angle JKL
Hope it helps : )
Helena invests a sum of money into an account that pays 6% compound interest per annum.
work out after how many years helena will have trebled her investment.
give your answer as a whole number of years.
Answers
About approximately 100/3 years Helena will have trebled her investment.
Define interest rate.The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount.
Define interest rate in daily life.You pay interest when you borrow money. A lender who makes a loan earns money from the interest added to the principal loan amount. Interest rates have an impact on how much you really pay for houses, vehicles, and other credit-based transactions.
x=2/0.06
Convert this decimal into fraction
x=2/(6/100)
x=2/(3/50)
x= 2*50/3
x=100/3
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The table shows the progress of a plant's growth. The height of the plant, y, is given by the table, where x is the number of days.
Which statements are correct?
A)
The rate of change is 2 cm.
B)
The plant's height at 10 days is 30 cm.
The plant's height at 30 days is 40 cm.
D)
The initial height of the plant is 0 centimeters high.
E)
The plant's growth can be modeled by the equation y-2x+10.
Answers
Answer:
The table shows the progress of a plant's growth. The height of the plant, y, is given by the table, where x is the number of days.
Which statements are correct?
A)
The rate of change is 2 cm.
B)
The plant's height at 10 days is 30 cm.
The plant's height at 30 days is 40 cm.
D)
The initial height of the plant is 0 centimeters high.
Step-by-step explanation:
The plant's growth can be modeled by the equation y-2x+10.
e is the answer please give me brain list
therefore, the slope of the linear model satisfies which shows that the slope of the linear model is governed by the correlation coefficient . we can use the obtained model to create a predictor for : what is the maximum possible value of ? g
Answers
The slope of the linear model satisfies which shows that the slope of the linear model is governed by the correlation coefficient and the maximum possible value of g are 5
Correlation coefficient is the measure of strength of the linear relationship between two variables. That can be ranged from -1 to +1 . Correlation coefficient with the value -1 denotes the perfect negative . Coefficient with the value 1 shows a perfect positive or the direct relationship and Coefficient with the value 0 shows that there is no relationship.
When the points on a scatterplot do not show any pattern, then there is no relationship
When the points on a scatterplot shows any positive pattern, then there is a direct relationship
When the points on a scatterplot shows any negative pattern, then there is an indirect relationship
So, the slope of the linear model satisfies which shows that the slope of the linear model is governed by the correlation coefficient and the maximum possible value of g are 5
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Two interior angles of a convex pentagon are right angles and the other three interior angles are congruent. in degrees, what is the measure of one of the three congruent interior angles?
Answers
Answer:
\(120^{0}\)
Step-by-step explanation:
Given: pentagon (5 sided polygon), two interior angles = \(90^{0}\) each, other three interior angles are congruent.
Sum of angles in a polygon = (n - 2) × \(180^{0}\)
where n is the number of sides of the polygon.
For a pentagon, n = 5, so that;
Sum of angles in a pentagon = (5 - 2) × \(180^{0}\)
= 3 × \(180^{0}\)
= \(540^{0}\)
Sum of angles in a pentagon is \(540^{0}\).
Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;
\(540^{0}\) - (2 × \(90^{0}\)) = \(540^{0}\) - \(180^{0}\)
= \(360^{0}\)
So that;
the measure of the interior angle = \(\frac{360^{0} }{3}\)
= \(120^{0}\)
The measure of one of its three congruent interior angles is \(120^{0}\).
On a scale drawing of a basketball court, 1 inch equals 8 feet. What is the actual area of the basketball court if the scale drawing is 11. 75 inches by 6. 25 inches? Enter your answer in the box.
Answers
On a scale drawing of a basketball court, 1 inch equals 8 feet the actual area of the basketball court if the scale drawing is 11. 75 inches by 6. 25 inches will be 4,700 square feet.
Given:
1 inch =8 feet 11.75 * 8 = 94 feet6.25 * 8 = 50 feetTo solve the given question we will assume the court is rectangular in shape so we will solve by using formula of Area of rectangle
\(\rm Area \;of\;rectangle\;= l\times b\)
Where, l=length
b=breadth
According to the given question,
\(\rm Area = 94\; feet \times 50\; feet\\\\ = 4,700 \;square\; feet.\\\)
Therefore, Area of the basketball court will be 4,700 square feet.
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Which best describes the solution set of the compound inequality below?
2 + x ≤ 3x – 6 ≤ 12
Answers
The solution of the compound inequality is 4 ≤ x ≤ 6.
What is the solution of the compound inequality?The solution of the compound inequality is calculated as follows;
The given inequality equation;
2 + x ≤ 3x – 6 ≤ 12
Break down the compound inequality into two equations as;
2 + x ≤ 3x – 6
add 6 to both sides of the equation;
2 + 6 + x ≤ 3x
8 + x ≤ 3x
Subtract x from both sides of the equation;
8 ≤ 2x
4 ≤ x
Another solution of the inequality is determined as;
3x – 6 ≤ 12
3x ≤ 12 + 6
3x ≤ 18
x ≤ 18/3
x ≤ 6
The solution = 4 ≤ x ≤ 6
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The complete question is below:
Which best describes the solution set of the compound inequality below?
2 + x ≤ 3x – 6 ≤ 12
a: 4 ≤ x ≤ 9
b: 4 ≤ x ≤ 6
c: –2 ≤ x ≤ 2
d: –2 ≤ x ≤ 3
Can someone help I’m in a bit of a pickle here
Answers
Step-by-step explanation:
Im maybe wrong but it might be that morgan earns morgans hourly rate on friday is 12$
Help. This is a Dave Ramsey Lesson
Answers
A budget is a regular summary of the anticipated earnings and spending for a specific time period.
How to calculating your monthly income?The calculation of James' monthly salary is as follows:
income each month = $47,000 / 12 = 3916
The necessary James personal monthly budget is given as follows;
The monthly personal budget is determined by inputting the supplied numbers into a budget template as shown below based on the monthly expenses mentioned above;
fixed expenses
Income
$3,916.6
Rent \s$950
Insurance for tenants
$25
Health Insurance: $185 Retirement: 401(k)
$157
vehicle insurance
$120
Utilities
a $100 cell phone
$85
Credit card for $70 for cable
$150
Car loan $554
$2,396 in total fixed expenditures
variable costs
Clothing $8
Groceries n $300
Entertainment $196
$576 in total variable costs
Savings $944.
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Answer two questions about Equations AAA and BBB:
A.3x−1=7
B.3x=8 1
How can we get Equation BBB from Equation AAA?
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide both sides by the same variable expression
(Choice C)
C
Add/subtract the same quantity to/from both sides
(Choice D)
D
Add/subtract a quantity to/from only one side
2) Based on the previous answer, are the equations equivalent?
In other words, do they have the same solution?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answers
Answer:
1. C Add/subtract the same quantity to/from both sides
2. A Yes
Step-by-step explanation:
Start with Equation A.
3x - 1 = 7
Add 1 to both sides.
3x = 8
First question:
How can we get Equation B from Equation A?
Answer:
C Add/subtract the same quantity to/from both sides
Second question:
Based on the previous answer, are the equations equivalent?
Since by doing a valid step (adding 1 to both sides) Equation A became Equation B, the two equations are equivalent.
Answer:
A Yes
Parallelograms, Find the value of X
Answers
The value of x: 30°
What is Parallelograms?
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
Given, two angles
let ∠A = 3x°
∠B = (x + 60)°
Since, we know
In Parallelogram,
All the respective consecutive angles are supplementary.
Here, ∠A + ∠B = 180°
Substituting the values, we get
3x° + (x + 60)° = 180°
3x° + x° + 60° = 180°
4x° + 60° = 180°
Subtracting 60 both side
4x° + 60° - 60° = 180° - 60°
4x° = 120°
Dividing 4 both side
4x/4 = 120/4
x = 30°
Hence, The value of x = 30°
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make y the subject of the equation
2A=x(2y+z)
Answers
2A = 2xy + xz
2A - xz = 2xy + xz - xz
2A - xz = 2xy
( 2A - xz ) ÷ 2x = 2xy ÷ 2x
A/x - z/2 = y
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(y = \frac{2A-xz}{2x}; x \neq 0\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(2A = x(2y+z)\\\\\rightarrow x(2y+z)=2A\\\\\rightarrow\frac{x(2y+z)=2A}{x}\\\\\rightarrow 2y + z = \frac{2A}{x}\\\\\rightarrow 2y + z - z = \frac{2A}{x}-z\\\\\rightarrow 2y = \frac{2A}{x} - z\\\\\rightarrow\frac{2y = \frac{2A}{x} - z}{2}\\\\\rightarrow \boxed{y = \frac{2A-xz}{2x}}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
plz help 12 points !!! it's l due in a hourPIL Assessment 0 Stephan has a piece of wood that measures 18 inches long and 12 inches wide. He wants to make a tray with sides 2 inches high. Maurice says that he can make a tray that has a base measuring 10 inches by 10 inches. Is he correct? Use the drop-down menus to explain your answer. Stephan Choose... have enough wood to make the tray because he has Choose... square inches, which is Choose... than he needs to make the tray, Choose... square inches.
Answers
Answer:
No, because he needs to make a 18 by 12 base. Not enough wood, (area)..... square inches
help asappppppppp pleaseeeeeeeeeeeeee
Answers
Answer:
∠Q≅∠R
Step-by-step explanation:
Since the angles (∠) both equal 155º, they equal each other
Sin p and cos p please with steps
Answers
Answer:
sin(P) = (√11)/6cos(P) = 5/6Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions in a right triangle. It tells you ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
QR is the side opposite angle P. PR is the side adjacent to angle P. PQ is the hypotenuse of this triangle. Translated to the given triangle, the trig functions are ...
sin(P) = (4√11)/24 = (√11)/6
cos(P) = 20/24 = 5/6
Please help, due in 3 min
Answers
Answer:
45 degree angle
Step-by-step explanation:
180-55-80=x
180- 135=x
45=x
Answer:
45
Step-by-step explanation:
180=55+80+x
135+x=180
180-135=45
choose the statements that correctly reflect traditional usage of significance level in statistical research. select all that apply. multiple select question. quality control uses a 1% significance level. scientific research uses a significance level of 10%. political polling uses a significance level of 1%. consumer research uses a 5% significance.
Answers
The statement that correctly reflects the traditional usage of significance level in statistical research is quality control and political polling uses a 1% significance level, while consumer research uses a 5% significance.
Significant level in statistical researchIn statistical research, the significance level is a threshold that is used to determine whether the results of a study are statistically significant. It represents the probability of rejecting the null hypothesis when it is actually true.
The significance level is typically set before conducting a study, and its value depends on the specific application and context of the research.
The most commonly used significance levels in different fields of research can vary, depending on the goals of the study and the consequences of making Type I and Type II errors.
Quality control may require a very low probability of rejecting a good product, so a very small significance level may be appropriate. Political polling may require a high level of confidence in the results, so a low significance level may be used.In consumer research, a moderate level of significance may be acceptable, as long as the results are reliable and generalizable to the target population.More on significance level can be found here: https://brainly.com/question/13947717
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:Q3) For the following data 50-54 55-59 60-64 65-69 70-74 75-79 80-84 7 10 16 12 9 3 Class Frequency 3
* :a) The arithmetic mean is 65 67.5 O 69 69.5 none of all above O Ο Ο
Answers
The arithmetic mean for the given data is 69.5, obtained by summing the products of midpoints and frequencies and dividing by the total frequency.
To find the arithmetic mean, we need to calculate the sum of all the values in the data set and then divide it by the total number of values. In this case, we have the class frequencies and the midpoints of each class interval. To calculate the sum, we multiply each class frequency by its corresponding midpoint and then add all the values together.
For example, for the first class interval (50-54), the midpoint is 52, and the frequency is 7. So, the contribution of this interval to the sum is 52 * 7 = 364. We do the same calculation for each interval and add them up to get the total sum.
Next, we divide the total sum by the sum of all the frequencies, which in this case is 50. So, the arithmetic mean is 69.5 (total sum divided by the total number of values).
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What is the value of the expression 12 x (-1.6)
Answers
Answer: -19.2
Step-by-step explanation:
Sunny’s Surf Shop sold 20 surfboards last week. This week, they will sell 320 percent as many. How many surfboards will Sunny’s sell this week?
16
64
160
640
Answers
When renting a car, the cost per mile is inversely proportional to the number of miles driven. At Zippy Car Rentals, if the standard model car is driven for 300 miles, then the cost per mile is $0.25.
At Zippy Car Rentals, the constant of variation is
for a standard car rental. If that rental car is driven for 375 miles, then the cost per mile is $
.
Answers
Answer:
.20 per mile.
Step-by-step explanation:
300 x .25 is 75. 75/375 is .20
A recipe for lemonade calls for 4
cups of sugar for every 24 cups of cold
water. If you only have 2 cups of sugar,
how much water should you use?
Answers
6 • 2 = 12
12 cups of water
Danny’s dog weighs 45.33 pounds. His cat only weighs 14.89 pounds. About how much more does his dog weigh?
rounding
Answers
Answer:
30.44 pounds.
Step-by-step explanation:
to find the answer you have to subtract 45.33 and 14.89
so 45.33-14.89= 30.44
so now you would have to round. the number after the decimal is NOT greater then 5 so Therefore, we simply remove the 4 an d the the whole number as: 30
SO your answer ROUNDING wise is 30
Hope this helps
6x - 8-10 = 2 (2x+8) + 2x + 2
Answers
Answer:
0 = 36 (No Solution)
Step-by-step explanation:
6x - 8 - 10 = 2(2x + 8) + 2x + 2
Add -8 and -10 = -18
6x + -18 = 2(2x + 8) + 2x + 2
Distributing. 2 x 2x & 2 x 8
6x + -18 = 4x + 16 + 2x + 2
Combine light terms.
6x + -18 = 6x + 18
Add 18 to both sides.
6x = 6x + 36
Subtract 6x
0 = 36
Final Answer: 0 = 36 (No Solution)