Answer:
a(n)= a + (n - 1)d
a(n) = 17 - 3n
Step-by-step explanation:
14, 11, 8 , 5 , ...
The given sequence above is an Arithmetic sequence and the explicit formula is given as:
a(n) = a + (n - 1)d
Where
a = First term = 14
n = number of terms
d = common difference
The common difference =
Second term - First term or Third term - Second term
= 11 - 14 or 8 - 11 or 5 - 8
= -3
Therefore, the explicit formula for the nth term a(n) is written as:
a(n) = 14 + (n - 1)-3
a(n) = 14 -3n + 3
a(n) = 14 + 3 - 3n
a(n) = 17 - 3n
The explicit formula a(n) =
a(n) = 17 - 3n
3) Champs sold twice as many footballs as basketballs and 5 more soccer
balls than basketballs. If they sold a total of 65 balls, how many of each
kind of ball did they sell?
Answer:
12, 15
Stepby-step explanation:
A transcriptionist types 62 words per minute. Which statement is correct? As the number of words increases, the number of minutes decreases. As the number of words decreases, the number of minutes increases. The number of words, w, is the dependent variable.
Answer:
The number of words, w, is the dependent variable.
Step-by-step explanation:
Vinny has 4 gallons of lemonade. How many -gallon glasses can Vinny fill with the lemonade?
А.
glass
45 glasses
B
с
24 glasses
D
32 glasses
Which of the following shows the equation log Subscript 4 Baseline (x + 6) = 2 rewritten using logarithms?
Answer: The answer is c log4(x+6)=log4 16
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Consider the function: h(x) = 11 - 3x What is h(-2) ?
Answer:
17
Step-by-step explanation:
11-3x
11-3(-2)
11+6
Hence, 17
Hope it helps!
The evaluation is 17 when h(-2) of h(x) = 11-3x.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.
The given function is
h(x) = 11-3x
when x = -2
h(-2) = 11-3(-2)
= 11 + 6
= 17.
Therefore, the h(x) = 11-3x is 17 when x = -2
To learn more about the function;
brainly.com/question/28303908
#SPJ2
An architect is constructing a model in the shape of a triangle that has one side length of 9 centimeters and another side length of 8 centimeters. Which
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Sides:\ 9cm\ and\ 8cm[/tex]
The question is incomplete, as what is required is not state. However, a possible question could be to determine the possible side length of the third side.
To do this, we make use of the triangle inequality theorem which states that:
Given three sides (a, b and c) of a triangle, the following inequalities exist.
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
Let a and b represent the two sides such that:
[tex]a = 9[/tex]
[tex]b = 8[/tex]
The inequalities become:
[tex]9 + 8 > c[/tex]
[tex]9 + c > 8[/tex]
[tex]8 + c > 9[/tex]
Solve for c in each:
[tex]9 + 8 > c[/tex]
[tex]17 > c[/tex]
[tex]c < 17[/tex]
[tex]9 + c > 8[/tex]
[tex]c > 8 - 9[/tex]
[tex]c > - 1[/tex]
[tex]8 + c > 9[/tex]
[tex]c >9 - 8[/tex]
[tex]c >1[/tex]
The value of c must be positive, so, we consider;
[tex]c >1[/tex] and [tex]c < 17[/tex]
Rewrite:
[tex]1 < c[/tex] and [tex]c < 17[/tex]
Combine both
[tex]1 < c < 17[/tex]
Hence, the value of c is:
[tex]c = (1,17)[/tex]
Carlos was studying whether or not eating fast food had a effect on a person's weight. He surveyed 100 people and recorded the
number of times they ate fast food per week and their weight. Carlos then calculated the correlation value and got a value of 0.93.
Which conclusion could Carlos make?
es )
A)
Eating fast food does not cause an increase in a person's weight.
B)
There is no relationship between eating fast food and a person's weight
0
There is a strong positive relationship between a person's weight and
eating fast food.
D)
There is a definite cause and effect relationship between eating fast food
and gaining weight.
Answer: C
Step-by-step explanation:
I got this right
If the probability of an event happening is 0.45.
What is the probability of the event NOT happening?
A0.55
B0.50
C0.65
Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation.
(-1, -2), 3x - y = 5
Answer:
y = 3x + 1
Step-by-step explanation:
the slope of the line of the given equation can bé find in this way: -a/b, where a is the number that multiplies x and b is the number that multiplies y
m = -3/-1 = 3
two parallel lines have the same slope, so also the line that we are a searching has m=3
now we can use this formula
y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point
y-(-2) = 3 (x-(-1)
y+2 = 3x + 3
y = 3x + 3-2
y = 3x + 1
???Anyone knows answer??
Answer:
30feet
Step-by-step explanation:
I don't know the requirement to get full mark but can work through the equation but:
The man is creating a small triangle as information about the small triangle is given. The small triangle is a miniature size of the bigger triangle. So,
let x be the height of the tree
6/4=x/20
6/4*20=x
x=30 feet
A red light flashes every 14 minutes. A blue light flashes every 24 minutes. When will the two lights flash together again if they last flashed together at 8 AM
Answer:
It happened in 168 minutes
Step-by-step explanation:
24: 48, 72, 96, 120, 144, 168
14: 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168
The common LCM is 168. It happened in seven 24's and in twelve 14's
A number from 1-20 is chosen at
random. What is the probability
that it is not prime number.
Answer:
There are 12 composite (and 8 primes) in the first twenty whole numbers. So the probability of randomly choosing a non-prime is 12/20 or 60%.
Is LMN a right triangle?
Answer:
True
Step-by-step explanation:
We can sue the pythagorean theorem to verify. 15^2+36^2 should equal the longest side squared or 39^2. If we plug in the numbers, it checks out!
Answer:
true
Step-by-step explanation:
we can use the Pythagorean theorem to verify if the sum of the squares built on the legs is equal to the square built on the hypotenuse
36^2 + 15^2 = 39^2
1296 + 225 = 1521
1521 = 1521
the equality is verified so the answer is true
Pls help will give 100 points
Answer:
Step-by-step explanation:
Answer:
Whats the question??
Step-by-step explanation:
Solve the following equations 3x-5=40
Answer:
x=15
Step-by-step explanation:
3x−5+5=40+5
3x=45
Step 2: Divide both sides by 3.
3x3=453
x=15
Answer:
x = 15
Step-by-step explanation:
3x - 5 = 40
add 5 to each side of the equation:
3x - 5 + 5 = 40 + 5
simplify:
3x = 45
divide both sides by 3:
3x/3 = 45/3
simplify:
x = 15
Using the table, find the average rate of change over the following intervals. I will give brainliest!!
Answer:
[tex]-4[/tex]
Step-by-step explanation:
The formula for average rate of change (AROC) is: [tex]\frac{f(b)-f(a)}{b-a}[/tex]
[tex]\frac{f(2)-f(0)}{2-0}[/tex] ⇒ [tex]\frac{-3-5}{2-0} =-4[/tex]
A store sells a television for $1000. There are two payment options. Which option is better? ( PLS HELP!! I'M RLY STRUGGLING!! :< )
Harvey has $390 in a savings account that earns 6% simple interest each year. How much interest will Harvey earn in 2 years, assuming she does not add or take out any money? How much total money is in the account at the end of two years?
Answer:
She will earn $46.8 of interest. $436.8 is in her account total after the two years
Step-by-step explanation:
You would find out how much 6% of $390 is which would be $23.4 and then you would find out how much it would be after two years so you would $23.4 times two which is $46.8 so the interest would be $46.8. Then you would add the interest to the $390 that was put into the savings so you would do $390 + $46.8 = $436.8
observe partes da reta numerada e escreva os números naturais indicados pelas setas.
What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x ≤ 2
Answer:
-1, 0, 1, 2
Step-by-step explanation:
range of x in − 2 < x < 3: -1, 0, 1, 2
range of x in − 2 ≤ x ≤ 2: -2, -1, 0, 1, 2
please answer the questions
Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard deviation of 17. What is the probability that a certain rope will break before being subjected to 130 pounds?
Answer:
0.961
Step-by-step explanation:
To answer this, find the area under the standard normal curve to the left of 130 pounds:
Using the function normalcdf( on a TI calculator, we get:
normalcdf(-1000, 130, 100, 17) = 0.961
Donald used 1 inch cubes to make the rectangle prism shown. The volume of the prism is_____ cubic inches WILL GET BRAINLIEST
Answer:
am going to answer but it might be wrong
Step-by-step explanation:
i believe you do 12 Tom 6 * 8 because it's linked times with Tom's height which gives 576
Answer:
1, 30, 3, 90 :)
Step-by-step explanation:
you find the colume of each cube, then you go off of that
Find the area of quarter circle with the radius of 10
Answer: 78.5
Step-by-step explanation:
Formula: A=pi*r^2 or Area = 3.14*radius squared (by two)
A = 3.14*10^2
A = 3.14*100
A = 314
Divide it by 4, because it's a quarter of the circle: A = 314/4
A = 78.5
Answer: 78.5
Your welcome :)
simplify the expression. explain when answering please!
Hello!
This question is relating powers and simplification.
Let's look at the term in the denominator first, which is [tex]d^0[/tex].
The zero exponent rule states that anything to the 0th power, will be 1.
Meaning that we can simplify this expression to [tex]6c^{-3}[/tex].
Now let's look at the term we have left.
The negative exponent rule states that anything to the negative power can be moved to the other side of the fraction and have its exponent turn into a positive exponent.
Meaning that we can simplify [tex]6c^{-3}[/tex] to [tex]\frac{6}{c^3}[/tex].
Hope this helps!
Help I need this quick
solve by subsution 10x=4 2x+y=-24
Answer:
big shaq
Step-by-step explanation:
100000000 x 66 pls i need help
Answer:
6,600,000,000
Step-by-step explanation:
six billion 6 hundred million
Write an equation to represent the situation: Last summer, Gary trained 14
more dogs than Zina. Together they trained 82 dogs. How many dogs did Gary train?
Answer:
A. g + (g + 14) = 82
Bonus: Gary trained 48 dogs. Triana trained 34.
Step-by-step explanation:
Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.
g + g + 14 = 82
Combine g & g to get 2g.
2g + 14 = 82
Subtract 14 from both sides.
2g = 82 - 14
2g = 68
Divide both sides by 2.
g = 68/2
g = 34
With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.
There are 205 total students in a school. 20% of the students are 5th
graders. How many students are 5th graders? *
Answer:
41 students
Step-by-step explanation:
We're trying to find what 20% of 205 is so:
We start by converting 20% to a fraction :
20% = 1/5
Then we have
20% of 205 = 1/5 x 205 = 1/5 x 205/1 = 205/5
Notice that 205 was rewritten as the fraction 205/1, and that to multiply two fractions together, you simply multiply the numerators and denominators.
In order to find the simplest form of 205/5 we cancel out the greatest common divisor of 205 and 5, which is 5:
205/5 = 41/1
So there are 41 5th graders