What is the value of the fourth term in a geometric sequence for which ay =
10 and r=0.5?
Answer here
I
SUBMIT
Answer:
a₄ = 1.25
Step-by-step explanation:
Given that,
First term of GP, a₁ = 10
The common ration of GP, r = 0.5
The nth term of the GP is given by :
[tex]a_4=a_1r^{n-1}\\\\a_4=a_1r^3\\\\a_4=10\times (0.5)^3\\\\a_4=10\times 0.125\\\\a_4=1.25[/tex]
So, the fourth term of the GP is 1.25.
Please help!
Write down the correct type of angle for angles A to E.
Answer:
Angle A- Obtuse angle
Angle B- Right angle
Angle C- Reflex angle
Angle D- Reflex angle
Angle E- Acute angle
Angle A is Obtuse angle, Angle B is Right angle, Angle C is Reflex angle, Angle D is Reflex angle and Angle E is Acute angle
What are Angles?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Obtuse angle is any angle greater than 90°
A right angle is an angle measuring exactly 90°
A reflex angle is an angle that is more than 180 degrees and less than 360 degrees.
Any angle that measures greater than 0° and less than 90° is called an acute angle.
By the definitions of these the angles are
Angle A- Obtuse angle
Angle B- Right angle
Angle C- Reflex angle
Angle D- Reflex angle
Angle E- Acute angle
Hence, Angle A is Obtuse angle, Angle B is Right angle, Angle C is Reflex angle, Angle D is Reflex angle and Angle E is Acute angle
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The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. Step 2 of 2 : Suppose a sample of 897 suspected criminals is drawn. Of these people, 322 were captured. Using the data, construct the 95% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Round your answers to three decimal places.
Answer:
The answer is "0.359"
Step-by-step explanation:
Throughout the given question, in the sample of 897 suspected offenders were identified, 322 have also been convicted. So, the estimate of the population of individuals caught and been on the ten most attractive lists is then estimated:
[tex]\to \frac{322}{897} = 0.3589743.. \approx 0.359[/tex]
In Mr. Richard's class, 5/8 of the students like
to bake. Of those students, one-half prefer to
bake cookies. What fraction of the students
prefer to bake cookies?
(33x3)+(33x3)= blah blah blah sorry it had to be 20 characters long ;)
Answer:
198
Step-by-step explanation:
due to order of eliminations u multiply 33 and 3 in both parantheses. then you add them together, you get 198.
What is the answer for
(7-2)÷5
Answer:
1
Step-by-step explanation:
7-2=5 5/5=1Find the slope of the line passing through the pair of points or state that the slope is undefined.
(-2,6) and (5,5)
Answer:
[tex]\displaystyle m=\frac{-1}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, 6)
Point (5, 5)
Step 2: Identify
x₁ = -2, y₁ = 6
x₂ = 5, y₂ = 5
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{5-6}{5+2}[/tex][Slope] [Fraction] Subtract/Add: [tex]\displaystyle m=\frac{-1}{7}[/tex]What is the slope of the line? y-3=5(x-2)y−3=5(x−2)y, minus, 3, equals, 5, left parenthesis, x, minus, 2, right parenthesis Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac15 5 1 start fraction, 1, divided by, 5, end fraction (Choice B) B -\dfrac45− 5 4 minus, start fraction, 4, divided by, 5, end fraction (Choice C) C 111 (Choice D) D 55
Answer: A
Step-by-step explanation:
Answer:5
Step-by-step explanation:I got it wrong and decided to give you guys the right answer.
A giant panda lives in the Washington, DC zoo. What does the point shown tell you about the panda?
Answer:
he is 36 months old or 3 years old, and he ways 82 kilograms.
Step-by-step explanation:
quick mafs
The point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.
How to read the data from the graph?In a graph, the line which is horizontal is known as the x-axis of the graph. The vertical line in the graph is called the y-axis of it. These axis helps to read the data from graph in following way-
The value of a point parallel to x axis in graph gives the value x-value. It is the value of parameter which is titled on x-axis.The value of a point parallel to y axis in graph gives the value y-value. It is the value of parameter which is titled on y-axis.In the given graph, the x-axis is labeled with age in months and y-axis is labeled with weight of panda.
The point with coordinates (36,82) tells that the age of panda is 36 months and the weight of the panda is 82 kilograms.
Hence, the point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.
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Using the graph of f, determine f(0).
[tex]\frac{t}{7}= 13\\[/tex]
Answer:
91
Step-by-step explanation:
Step 1: Multiply both sides by 7. T/7 = 13 (t/7) = (13) x 7 t = 91
Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).
Answer:
[tex]\displaystyle -11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
f(x) = -x² - 7x - 8
(1, 3) → a = 1, b = 3
Step 2: Find Average Rate
Substitute in variables [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function: [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents: [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply: [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract: [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative: [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add: [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide: [tex]\displaystyle -11[/tex]Answer:
Step-by-step explanation:
-1x^2-7x8
-1x^2-7x+8
-1x+8-7x
+1x +1x
----- ------
X -7x
8 -7x
---- -----
+7 +7
---- -----
15 1x/x
15 1x
---- -----
1 X
X=15
Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.
What you do to one side you do to the other.
Examine the diagram. It is not drawn to scale.
What is the m_3?
m_3=
Answer:
I think 12 I don't know if it's right or not but I tried
Answer:
its 105 :)
Step-by-step explanation:
its 100% correct <3
Calculate the slope of graph E. Type your answer in the box.
please help me with this !!!
If WX = x + 5 and XY = 3x - 13, then what is the value of x?
Answer:
[tex]x = 9[/tex]
Step-by-step explanation:
Given
[tex]WX = x + 5[/tex]
[tex]XY = 3x - 13,[/tex]
Required
Find x
To do this, I will assume [tex]WX = XY[/tex].
So, we have:
[tex]x + 5 = 3x - 13[/tex]
Collect Like Terms
[tex]x - 3x = -5 - 13[/tex]
[tex]-2x = -18[/tex]
Divide by -2
[tex]x = 9[/tex]
Evaluate the expression 2(2x-3y)-5xy where x=-2 and y=-1
Answer:
-12
Step-by-step explanation:
2 (2x-3y)-5xy
4x-6y-5xy
4(-2)-6(-1)-5*-2*-1
-8+6-10
-12
how much of a radioactive kind of protactinium will be left after 28 hours if you start with 672 grams and the half-life is 7 hours?
Answer:
Step-by-step explanation:
672·0.5^(28/7) = 672·0.5⁴ = 42 grams
A local yoga studio
charges a sign-up fee of
$55, plus $10 per class. A
second yoga studio
charges a sign-up fee of
$25 plus $12.50 per class.
A. Griffin
B. Gigi
Answer:
Let's call the first studio, yoga studio A.
Let's call the second studio, yoga studio B.
The equations:
Yoga Studio A: y=10x+55
Yoga Studio B: y=12.5x+25
So, for 12 classes:
Yoga Studio A: y=10(12)+55, y=175
Yoga Studio B: y=12.5(12)+25, y=175
These two numbers are equal, so Griffin is right.
For 10 classes:
Yoga Studio A: y=10(10)+55, y=155
Yoga Studio B: y=12.5(10)+25, y=150.
These two numbers are not equal, so Gigi is wrong.
Let me know if this helps!
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2. Explain
Answer:
i d k
Step-by-step explanation:
Answer:
When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reversed. 16 > −4 and 4 > −1.
1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42
centimeters. If the base measures 30 centimeters, find the height and the
measure of the two equal angles. Round your answer to the nearest tenth.
Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:
[tex] L^{2} = H^{2} + B^{2} [/tex]
Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:
[tex] H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm [/tex]
2. The two equal angles (θ) can be found using the following trigonometric identity:
[tex] cos(\theta) = \frac{B}{L} [/tex]
[tex] \theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ} [/tex]
Hence, the two equal angles are 44°.
I hope it helps you!
A rectangular prism has a base that is 1.5 meters by 2 meters, and the prism is 4 meters
high. What is the surface area of the prism?
A 28 m
C 12 m2
B 34 m2
D 31 m²
Answer:
The answer is C. 12 m2
Step-by-step explanation:
Hope this helps!! :) :) Please mark brainlliest.
Given two intersecting CHORDS and their intercepted arcs, how do I determine the angles of intersection of the chords?
Answer:
Angles of Intersecting Chords Theorem
Step-by-step explanation:
If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Answer: If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and it's vertical angle.
Step-by-step explanation: Example: In the circle, the two chords -PR and -QS intersect inside the circle. since vertical angles are congruent, m<1=m<3 and m<2=m<4
8 increased 3 times by a number t
Answer:
3t+8
Step-by-step explanation:
Answer:
3t + 8
Step-by-step explanation:
Let the number be represented by
t
Now Interpreting the statement;
Three times a number;
3 × t
3t
Increased by eight;
3t+8
I hope this is helpful
please mark it as brainlist
ASIGNATURA: Matemáticos
Tema: Una respuesta inesperada
Instrucciones: Lena los espacios escribiendo el número que resulta de multiplicar el número
de la columna de la izquierda por cada uno de los números de la fila superior.
3
5
4
6
2
10
8
4
3
27
21
18
5
15
45
40
7
63
49
14
16
8
72
24
18
72
36
54
45
9
8
12
28
36
a) Los múltiplos de 3 son:
b) Todos los números pares son múltiplos de:
c) Los múltiplos de 5 son:
dos en negrita
Answer:
a) Los múltiplos de 3 son: 3,6,9,12,15,18,21,24,27
b) Todos los numeros pares son multiplos de: 2
c) Los múltiplos de 5 son: 5,10,15
The ratio of pennies : nickels is proportional to the ratio of nickels : dimes,
and to the ratio of dimes : quarters. If you have one penny and two nickels,
how much money do you have?
You have a choice of receiving a wage of $26,000 per year, $2860 per month, $630 per week, or $14.30 per hour. Which pay choice would you take? Assume a 40-hour work week and 52
weeks of work per year
A $26,000 per year
B$2860 per month
C $630 per week
D14.30 per hour
Answer:
I think the answers is B
Step-by-step explanation:
But im so sorry if its not right...
Have a nice day
The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).
Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5
Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?
Based on the circumstances of the 100 workers and their union membership, the probabilities are:
Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.What is the probability of the a new job with a union member?Number of people with jobs in new companies:
= 14 + 10
= 24
There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24
= 0.583
What is the probability that a union worker has been unemployed?The number of people in a Union is:
= 39 + 14 + 6 + 2
= 61 people
Number of union people that have been unemployed is 2.
The probability here is therefore:
= 2 / 61
= 0.033.
Find out more on probabilities at https://brainly.com/question/25870256.
A, C, E
A, C, D
B, D, E
C, D, E
Answer: A C and E (1st choice)
Step-by-step explanation:
A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in the pond after 2 days ?
Answer:
20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left
Answer:
960 gallons
Step-by-step explanation:
20 gallons * 48 hous =960 gallons
1920 - 960 =960 gallons.
