Find the 75th term of the arithmetic sequence
16, 15, 14,
Answer:
[tex]a_{75}=-58[/tex]
Step-by-step explanation:
This is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference and n is the index of any given term.
For the given sequence, the common difference is -1:
[tex]15-16=-1\\14-15=-1[/tex]
Knowing both the common difference and the first term, you can write the equation for this sequence:
[tex]a_n=16+(n-1)(-1)[/tex]
Then you can use that equation to find the 75th term:
[tex]a_{75}=16+(75-1)(-1)\\a_{75}=16+(74)(-1)\\a_{75}=16-74\\a_{75}=-58[/tex]
sooooooooooooooooooooooooooooo easy
Answer:
11/12..................
Answer:
J) 11/12
Step-by-step explanation:
A person swims 6.4 meters per
second north while being
pushed by a current moving
west at 2.1 meters per second.
What is the magnitude of the
swimmer's resultant vector?
Answer:
4.3
im not sure
correct me if im wrong
Answer
6.7
Step-by-step explanation:
Works on acellus
Does anyone know how to answer this?
Step-by-step explanation:
We first calculate the lenght of the diameter, that is also the lenght of the hypotenuse of the right triangle shown in the figure:
d = [tex]\sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex] cm
The radius of the circle will be half of the diameter: r = d/2 = 2.5 cm
The area of the circle will be: Acircle = pi * r^2 = pi * 6.25 cm^2 = 19.6 cm^2 (circa).
Now from the area of the circle we subtract the area of the square:
Asquare = 4cm * 3cm = 12cm^2
A shaded = Acircle - Asquare = 19.6 cm^2 - 12cm^2 = 7.6 cm^2
A car travels 10 km southeast and then 15 km in a direction 60° north of east. Find the magnitude of the car's resultant vector.
Answer:
-10sin45+15cos60=Hor distance = 5.92 km
-10cos45+15sin60=ver distance = .429 km
resultant is sqrt(5.922+.4292)= 5.94 km at angle arctan(.429/5.92)= 1.77 degrees north of east
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (-4,-1) to (6,4) that partitions the segment into a ratio of 3 to 2?
Using proportions, it is found that the coordinates of the desired point are (2,2).
The first point is A(-4, -1).The second point is B(6, 4).The desired point is C(x,y).The point C partitions the segment AB into a ratio of 3 to 2, hence:
[tex]C - A = \frac{3}{5}(B - A)[/tex]
This proportion is applied using both the x and y coordinates of the points, hence:
[tex]x - (-4) = \frac{3}{5}[6 - (-4)][/tex]
[tex]x + 4 = 6[/tex]
[tex]x = 2[/tex]
[tex]y - (-1) = \frac{3}{5}[4 - (-1)][/tex]
[tex]y + 1 = 3[/tex]
[tex]y = 2[/tex]
The coordinates of the desired point are (2,2).
To learn more about proportions, you can take a look at https://brainly.com/question/4854238
can someone please help me
Answer:
angle A=30°
angle B=60°
angle C=90°
Step-by-step explanation:
given : A=30°,C=90° the mark states it is 90°
find :C=?
A+B+C=180°
30°+90°+x°=180°
=120°+x°=180°
=120°-120°+x°=180°-120°
=x°=60°
change 4700g into kg
Answer:
4.7 kilograms
Step-by-step explanation:
[ 1000 g = 1 kg ]
Change 4700g into kg,
→ 4700 ÷ 1000
→ 4.7 kg
The graph shows a proportional relationship. Which equation matches the
graph?
A. y = 1/7 x
B. y = 14x
c. y = 7x
D.y = x
Answer:
The answer is C.
Just trust me.
If sine theta almost-equals 0.3090 , what is the approximate value of csc Theta?
0.5559
1.3090
3.2362
10.4733
Step-by-step explanation:
csc(Theta) = 1/sin(Theta) = 3.2362
Answer:
C. 3.2362
Explanation:
How do I solve this problem?
Please help me with this question.
Can someone please answer this no bots answer this please… I’ll give you brainliest
Answer:
Part one:
Y=13.5x+1
Part two:
Y=12x+40
Part three:
After 15 seconds Sam: 203.5ft Alice:220ft
Alice won
Step-by-step explanation:
What is the answer to 2(2x-5)
Answer: The answer is 4x - 10.
Explanation: The explanation is in the image. The explanation is showing using the distributive property to multiply 2 by 2x - 5.
Answer:
4x-5
Step-by-step explanation:
1. Classify the following polynomials as monomial, binomial trinomial and polynomial:
i) a2 + a – 6
Answer:
trinomial
Step-by-step explanation:
a monomial has 1 term
a binomial has 2 terms
A trinomial has 3 terms
a² + a - 6 ← has 3 terms so is a trinomial and also a polynomial
Jacoby made and sold x candy bars in one week. His profit, P, in dollars is calculated using the formula P = R-C
where R represents his revenue and C represents his costs. If R = 3x^2 – x+ 6 and C = -7x^2– 7x + 2. what is
the expression that represents his profit in dollars?
Answer: P = 10x^2 +6x + 4
Step-by-step explanation:
P = R-C
R = (3x^2 - x + 6)
C = (-7x^2 -7x + 2)
P = (3x^2 - x + 6) - (-7x^2 -7x + 2)
P = 3x^2 - x + 6 + 7x^2 +7x - 2
P = 10x^2 +6x + 4
solve 2 2/3 x 3 3/5 using an area model of 4 squares.
Answer:
9 3/5 is the answer it's in photo above how to
NO LINKS PLS
The ratio of sugar to flour used in a pudding recipe is 2:1. Which figure shows equivalent ratios?
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y-axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 1,2 and 2,4 and 3,6.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,3 and 6,4.
A graph is drawn. The title is Pudding Recipe. The x axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,1 and 4,2 and 6,3.
A graph is drawn. The title is Pudding Recipe. The axis label is Sugar in cups. The x axis values are 0, 2, 4, 6, 8, 10, 12. The y axis label is Flour in cups. The y axis values are 0, 1, 2, 3, 4, 5, 6. Points are plotted on the ordered pairs 2,2 and 4,4 and 6,6.
Answer:
Answer #3
Step-by-step explanation:
The ratio of sugar to flour is 2:1, so the x values need to be twice as big as the y values in the points.
What’s the domain and range for this? And is it a function? Yes or No
You are given the domain and range ( the numbers in each oval):
If There is more than one arrow connected to a number, that number is listed the same amount
Domain (-4,0,6,6)
Range (12,18,18,40)
To be a function each input value ( Domain) can only have one output value (range)
Because the 6 has two different outputs ( 12, 18) this is not a function.
Answer:
The input 6 (domain) leads to two outputs thus it is not a function.
Step-by-step explanation:
i need atleast 5 volunteers for the magic trick
What magic trick??
Are you gonna do a magic??
Sorry for a lot of questions.
HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPP
Answer:
a, h and k have values 1, -5 and -10 respectively
A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. He collects data for 15 randomly selected students and determines the value for s was 0.67.
The interpretation of the value of s being 0.67 is that: the typical distance between the observed grade points and predicted grade points was about 0.67 points.
The given parameters are:
n = 15s = 0.67Variable sIn regression, the variable s represents the average distance that the observed values fall from the regression line
The grade pointsIn this case, we have:
The observed grade points and The predicted grade pointsHence, 0.67 represents the typical distance between the observed grade points and predicted grade points.
Read more about regression at:
https://brainly.com/question/25472374
solve for x and graph the solution on the number line
Answer:
[tex]\boxed{\sf x\ge \:-1}[/tex]
Step-by-step explanation:
[tex]\sf 4x\ge \:-4[/tex]
Divide both sides by 4:
[tex]\sf \cfrac{4x}{4}\ge \cfrac{-4}{4}[/tex][tex]\sf x\ge \:-1[/tex]__________________________________
A typical tip at a restaurant is 18% of the total bill. If the bill is $60, what would the typical tip be?
The typical tip would be $_________.
What is the area, in square centimeters, of the shape below?
Express your answer as a fraction in simplest form.
Therefore, the area of the triangle is 4/9 cm².
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find the area of this figure
Show work, please
Answer:
80 in2
Step-by-step explanation:
Here is my work shown in screeny
if f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))
Answer:
18x² - 24x + 9
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x) , that is
f3x - 2)
= 2(3x - 2)²+ 1 ← expand factor using FOIL
= 2(9x² - 12x + 4) + 1 ← distribute parenthesis by 2
= 18x² - 24x + 8 + 1
= 18x² - 24x + 9
How do you factor x³-9?
Answer:
(x² + 3)(x-3)
Step-by-step explanation:
Since the exponent is uneven you can take 2 and 1 and add them to the x's multiply to get 3 and since 9 is a perfect square you can square root it and get 3 which you put on both sides. Since the 9 is negative one of the symbols have to be negative, usually put in the second parenthesis.
Hope this helps!
What is the domain and range of this? Is it a function yes or no?
Combine the like terms to create an equivalent expression:
-k+3k
Answer:2k
Step-by-step explanation:
-k+3k
-1k+3k
(-1+3)k
2k
Answer:
2k
Step-by-step explanation:
-k is the same as -1k so you can just solve it like that. Also, when adding terms with variables you just add the number in front (if they have the same variable). So -1k + 3k = 2k. Pretty much the same as -1 + 3, you just add a variable..