The answer is: [C]: " f(x) = 0.7(5)ˣ " .
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Explanation:
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From all the answer choices given;
Answer choice: [C]: " f(x) = 0.7 (5)ˣ " ; is the answer choice with a "positive number"; {which is then multiplied by: [ a "positive whole number" or a "positive number greater than "1"; that is raised to a "positive variable"] .
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How I solved this: Further Explanation:
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A positive number multiplied by a {"number less than 1; raised to "x"] would result in increasingly lower values as "x" increases. Same with "raised to "negative x" {refer to "Answer choice [D]" }.
Answer:
The answer is: [C]: f(x) = 0.7(5)ˣ
Step-by-step explanation:
Find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer below.
A.682
B.2044
C.2048
D.678
Answer: The correct option is (B) 2044.
Step-by-step explanation: We are given to find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024.
We know that
the n-th term of a geometric sequence with first term a and common ratio r is given by
[tex]a_n=ar^{n-1}.[/tex]
According to the given information, we have
[tex]a=4[/tex]
and
[tex]ar^{9-1}=1024\\\\\Rightarrow 4\times r^8=1024\\\\\Rightarrow r^8=\dfrac{1024}{4}\\\\\Rightarrow r^8=256\\\\\Rightarrow r^8=2^8\\\\\Rightarrow r=2.[/tex]
Therefore, the sum of the 9-term geometric sequence is given by
[tex]S_9\\\\\\=\dfrac{a(r^9-1)}{r-1}\\\\\\=\dfrac{4\times(2^9-1)}{2-1}\\\\\\=\dfrac{4\times(512-1)}{1}\\\\=4\times511\\\\=2044.[/tex]
Thus, the required sum of the 9-term sequence is 2044.
Option (B) is CORRECT.
What is the representation of the third element in an array called a?
Six students measure the acceleration (in meters per second per second) of an object in free fall. The measured values are: 10.56, 9.52, 9.73, 9.80, 9.78, 10.91.The students want to state that the absolute deviation of each measured value xfrom the mean is at most
d. Find the value of
d.
A new truck that sells for $25,000 depreciates (decreases in value) 11% each year. What will be the value of the truck in 2 years
Answer:
Price of Truck after 2 year = $ 19802.50
Step-by-step explanation:
Given: Price of truck = $ 25,000
Price depreciate at rate of 11% in a year
To find: Price of truck after 2 years
If we let Price of truck to be P = $ 25000
And Rate of deprecation to be R = 11%
And time to be n = 2
now by using formula of deprecation, we get
[tex]A=P\times(1-\frac{R}{100})^n[/tex]
[tex]A=25000\times(1-\frac{11}{100})^2[/tex]
[tex]A=25000\times0.7921[/tex]
A = $ 19802.50
Therefore, Price of Truck after 2 year = $ 19802.50
Ronald walks from home to Taco Bell to eat everyday. It takes him 30 minutes to walk the 2 mile distance. A) write a function for Ronald’s wall. Let x be the number of minutes he walks.
B) what should the domain of the function be?
An astronomer wishes to measure on a photograph the distance between the image of a certain star and three other star images nearby. If eight images are nearby, how many choices of the three stars does he have?
Answer: 56
Step-by-step explanation:
Given: An astronomer wishes to measure on a photograph the distance between the image of a certain star and three other star images nearby.
The total number of images nearby = 8
The number of images chosen by astronomer = 3
Then, the number of choices of the three stars without being in order is given by :-
[tex]^8C_3=\frac{8!}{3!(8-3)!}=\frac{8\times7\times6\times5!}{3!5!}=56[/tex]
Hence, he has 56 choices .
Multiply. (7/5) (−5/4)
Find the domain of the following piecewise function.
[-4,3)
(-4,3]
[-4,6)
(-4,6]
Answer:
c
Step-by-step explanation:
The relative frequency of a car travelling through a road junction having exactly two occupants is 0.26.If 5,000 cars are observed passing through the junction, how many of the cars could be expected to have only two occupants?
2.What is the correct equation of the line shown below ?
The equation of the line shown is y = (3/2)x + 3.
What is the equation of line?The general equation of a straight line is
y = mx + c,
where m is the gradient or slope, and
y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Now given points from the line passes are (0,3) and (-4,-3)
Therefore we have,
x₁ = 0
y₁ = 3
x₂ = -4
y₂ = -3
Now since the slope of the line is given as,
m = (y₂ - y₁)/(x₂ - x₁)
⇒ m = (-3 - 3)/ (-4-0)
⇒ m = -6/(-4)
⇒ m = 6/4
or, ⇒ m = 3/2
Now, for intercept c we can put any of points in the equation of line.
So, put (0,3)in the equation of line
3 = m(0) + c
3 = 0 + c
⇒ c = 3
Hence the required equation of line is given as,
y = mx + c
put the values of m and c,
y = (3/2)x + 3
which is the required equation of the line shown
Hence,the equation of the line shown is y = (3/2)x + 3.
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8 less than one third of x is y
based on the pattern of the drawings which conjecture is reasonable to make?
A. when a pair of parallel lines is intersected by a third line, the corresponding angles are complementary
B. when a pair of parallel lines is intersected by a third line, all of the angles formed are congruent.
C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent
D. when a pair of parallel lines is intersected by a third line, the corresponding angles are supplementary.
the 2 angles in each picture are the same - meaning they are congruent,
so the answer is:
C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent
Conjectures are simply opinions from a given information.
The conjecture that can be formed is: C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent
From the three diagrams, we can see that:
[tex]\mathbf{30^o = 30^o}[/tex][tex]\mathbf{35^o = 35^o}[/tex][tex]\mathbf{50^o = 50^o}[/tex]From the figures above, we have the following observations
The angles are congruentThe angles are correspondingThe congruence of the angles is based on parallel lines, intersected by a third line (i.e. the transversal)Hence, the conjecture that can be formed is: option (c)
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a pyramid with a square base of length 3cm and height 16cm
Which statement is true about the equations –3x + 4y = 12 and x – y = 1?
The system of the equations has exactly one solution at (–8, 3).
The system of the equations has exactly one solution at (–4, 3).
The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.
Answer:
C
Step-by-step explanation:
Its C just did the test
Help with math please.
Select the correct rate of change and y -intercept for the linear function that contains the points (4, 6) and (5, 3).
Question 1 options:
The rate of change is –3, and the y -intercept is 18.
The rate of change is 3, and the y -intercept is –6.
The rate of change is 1/3, and the y intercept is 4 2/3
The rate of change is -1/3, and the y intercept is 7 1/3
A game show contestant must randomly select a door. one door doubles her money while the other three doors leave her bankrupt. what is the probability she selects the door that doubles her money
On average, how many times must a 6-sided die be rolled until a 6 turns up twice in a row?
A rectangular picture frame measures 83 cm by 42 cm What is the perimeter or distance around the picture frame in meters
Please help!!
Graph each pair of parametric equations.
x = 2t – 1
y = t^2 + 5, -4 ≤ t ≤ 4
Hey!
Hope this helps...
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Sorry brainly kept of freezing on me...
Solving this is pretty simple, we plug in what t equals in both equations based upon our lovely given notice -4 ≤ t ≤ 4...
(My work will be attached below)
Now we will have to plot all the points we gathered onto our graph...
(The Graph will be attached below)
And there you are!
Answer:
B
Step-by-step explanation:
100% edge 2021
The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 2x2 + x − 3 and g(x) = x − 1. Find f(x) • g(x).
A. 2x3 − x2 + 4x − 3
B. x2 − 4x + 3
C. 2x3 − x2 − 4x + 3
D. 2x3 − 4x2 + 3
If a circle of radius 3 is made to roll along the x-axis, with the center above the x-axis, what is an equation for the path of the center of the circle?
Cindy has 26 nickels. She is getting rolls of nickels from the bank. She has enough money to get up to 10 rolls of nickels and each roll contains 40 nickels. The bank will not give partial rolls. The function that models the number of nickels Cindy will have after leaving the bank is f(r)=40r+26, where r is the number of rolls of nickels she gets.
What is the practical domain of the function?
all real numbers
r>1
all integers from 1 to 10, inclusive
{66, 106, 146, 186, 226, 266, 306, 346, 386, 426}
We know that the domain is actually the number of rolls that she gets because it is the input variable in the equation f (r) = 40 r + 26. The number of rolls that she can get can never be a negative number nor a zero nor a decimal number. However she can only get up to 10 rolls. Therefore the answer is:
all integers from 1 to 10, inclusive
Answer:
all integers from 1 to 10 inclusive
Step-by-step explanation:
took the test and got it correct
The african bush elephant weighs between 4.4 tons and 7.7 tons. What are its least and greatest wieghts rounded to the nearest ton
A scatterplot is produced to compare the size of a lake to the number of fish that are in it. There are 15 data points, each representing a different lake. The points are widely dispersed on the scatterplot with no pattern of grouping. Interpret what the results of the scatterplot tell you about the relationship between the two variables.
Answer:
Since there is no cluster formed in the scatterplot, the two variables are not related. Therefore, based on the data shown in the scatterplot, the number of fish in a lake is not dependent on the size of the lake.
Step-by-step explanation:
What is the approximate volume of a tree trunk is the trunk is 12 feet tall with a circumference of 4.5
Jenny earned a 77 on her most recent test. Jenny’s score is no less than 5 points greater than 4/5 of Terrance’s score. If t represents Terrance’s score, which inequality represents the situation?
Answer:
The situation is represented by the following inequality :
[tex]\bf 77\geq \frac{4}{5}\cdot t+ 5[/tex]
Step-by-step explanation:
Score earned by Jenny on her most recent test = 77
Let the Terrance's score is represented by t
[tex]\frac{4}{5}\text{ of the Terrance's score is = }\frac{4}{5}\cdot t[/tex]
If Terrance's score is 5 points greater then the points earned by Terrance's in the test is represented by :
[tex]\bf\frac{4}{5}\cdot t+ 5.......(1)[/tex]
Now, according to the given condition in the question , Jenny's score is not less than the score represented by (1)
⇒ Jenny's score is greater than equal to the score represented by (1)
Hence, The situation is represented by the following inequality :
[tex]\bf 77\geq \frac{4}{5}\cdot t+ 5[/tex]
Answer:
B
Step-by-step explanation:
evaluate the expression a3 -b/c for a = 3, b = 2 and c = 4. write in simplest form
Final answer:
To evaluate the expression a³ - b/c for a = 3, b = 2, and c = 4, substitute the values and simplify to get 27 - 1/2, which equals 53/2 in simplest form.
Explanation:
To evaluate the expression a³ - b/c when a = 3, b = 2, and c = 4, you need to substitute these values into the expression and simplify.
Step 1: Substitute the given values. The expression becomes 3³ - 2/4.
Step 2: Calculate the power of 3. The expression is now 27 - 2/4.
Step 3: Simplify the fraction 2/4, which is equivalent to 1/2.
Step 4: The expression now reads 27 - 1/2.
Step 5: To subtract, convert 27 to a fraction which has the same denominator as 1/2. This gives us 54/2 - 1/2.
Step 6: Subtract the fractions which results in 53/2, which is the simplest form.
Describe the change that occurs to the coordinates of a vertex of a figure when it is reflected across the Y axis
The sign of the x-coordinate changes; the y-coordinate stays the same.
What is the smallest natural number n, greater than 1, for which (1×2×3× . . . ×n) + 01 is not prime?
The smallest natural number is 4 which is not prime.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
What are Prime numbers?Prime numbers are defined as any number that is any integer with exactly two factors 1 and the number itself. is said to be a prime number.
Given that
⇒ (1×2×3× . . . ×n) + 1
We have to determine the smallest natural number n, greater than 1, for which (1×2×3× . . . ×n) + 1 is not prime.
Here we substitute the value of n = 4 in the given expression,
⇒ (1×2×3×4) + 1
⇒ (24) + 1
⇒ 25
Therefore, the smallest natural number is 4 which is not prime.
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Which transformation is not isometric?