Answer:
Step-by-step explanation:
Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.
1) f(n) = 9+8n
When n = 1
f(1) = 9+8(1)
f(1) = 17
when n = 2
f(2) = 9+8(2)
= 9+16
= 25
When n = 3
f(3) = 9+8(3)
f(3) = 33
when n = 4
f(4) = 9+8(4)
= 41
= 25
The first four terms are 17, 25, 33 and 41
2) f(n) = 8(n+1)-13
When n = 1
f(1) = 8(2)-13
f(1) = 3
when n = 2
f(2) = 8(3)-13
= 24-13
= 11
When n = 3
f(3) = 8(4)-13
f(3) = 32-13
= 19
when n = 4
f(4) = 8(5)-13
= 40-13
= 27
The first four terms are 3, 11, 19 and 27
3) f(n) = 65-9n
When n = 1
f(1) = 65-9(1)
f(1) = 56
when n = 2
f(2) = 65-9(2)
= 65-18
= 47
When n = 3
f(3) = 65-9(3)
f(3) = 65-27
= 38
when n = 4
f(4) = 65-9(4)
= 65-36
= 29
The first four terms are 56, 47, 38 and 29
Ur so worth it...ok now enough about u...help plz
Just 20 and 21...also there’s a little hint it says to draw a triangle.
Answer:
20. 13 cm
21. 12 cm
Step-by-step explanation:
20. isosceles means two sides are the same length, so you take the ten off the perimeter to get 26 remaining cm (36 -10) and you then divide that by two to get both sides of 13 cm (26 / 2)
21. because you know that if you split the triangle down the middle you get a right triangle and you can use a^2+b^2=c^2 to find the height, so we take the one side of 13 cm and half of the third side, which is 5, and you can find your answer (a^2 + 5^2 = 13^2 ---> a^2 + 25 = 169 ---> a^2 = 144 ---> a = 12)
PLEASESS HELPPP
Determine where f(x) = g(x) from the graph
A. X=-2; x=2
B. X=0 ; x=-8
C. X=0 ; x=2
D. X=-2; x=0; x=2
Answer:
The answer is D.
Step-by-step explanation:
Given that f(x) = g(x) which means that both functions intersect to each other. By looking at the graph, x = -2 or 0 or 2 are the places where they intersect.
Which monomial has a degree of 3?
a. 3
b. 3x2
c. 3x
d. -2x3
Answer:
So a degree means the power. So which ever has a power of three. I think you forgot to show to power, its D i think
D is answer
what is the solution to the equation x-16=-8
Answer:
x = 8
Step-by-step explanation:
8 minus 16 equals to a negative answer, resulting to -8.
Answer:
x = 8
Step-by-step explanation:
Add 16 to both sides of the equation.
x = −8 + 16
Add − 8 and 16
x = 8
Lines l and m are parallel. Parallel lines l and m are intersected by lines s and t. At the intersection of lines l, s, and t, clockwise from the top left, the angles are blank, 50 degrees, (x + 25) degrees, (2 x) degrees, 1, blank. Lines t, s, and m create a triangle with angles 1, 2, 3. Using the diagram, determine which statements are true. Select all that apply. m∠1 = 50° m∠3 = (2x + x + 25)° m∠2 = (x + 25)° m∠1 + m∠2 + m∠3 = 180° 50 + 2x+ x + 25 = 180
Answer:
A, c, d, e
Step-by-step explanation:
on edg
The correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180
What are parallel lines?Parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.
Given that, two parallel lines l and m are intersected by lines s and t. some angles are made by them, we need to select the correct options for them,
Correct options with reasons :-
∠ 1 = 50° is a true statement because they are vertically opposite angles.
m ∠ 1 + m ∠ 2 + m ∠ 3 = 180°, is a correct statement because they are interior angles of a triangle.
50+2x+x+25 = 180, is a correct answer because they are angles lying in a straight line.
Hence, the correct options are m ∠ 1 = 50°, m ∠ 1 + m ∠ 2 + m ∠ 3 = 180° and 50+2x+x+25 = 180
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How do I do this? I can't remember how and Algebra 2 has always been a struggle for me
Answer:
Step-by-step explanation:
This is a piecewise function. If we are finding the average rate of change over the interval 4 and 12 inclusive, that means that we are finding the slope of the whole function (both pieces) from 4 to 12 (domain values are from 4 to 12. That means x values). This is not a straight line, so the average value is merely a rough estimate of the slope between x values 4 and 12.
When x ≤ 4, we have to use the first piece of the function, 3x - 7 because the restriction on the domain is that x has to be less than 6 and 4 is less than 6. Evaluating at the domain of 4 in the first piece will give us an (x, y) coordinate to help find the slope.
f(4) = 3(4) - 7 and
f(4) = 12 - 7 so
f(4) = 5 and the coordinate is (4, 5).
When x ≤ 12 we have to use the second piece of the function, .75x + 10 because the domain restriction is that x has to be greater than or equal to 6 and 12 is greater than 6. Evaluating at a domain of 6 will give us the other coordinate we need to find the slope.
f(12) = .75(12) + 10 and
f(12) = 9 + 10 so
f(12) = 19 and the coordinate is (12, 19). Now for the slope (aka average rate of change). Using the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{19-5}{12-4}=\frac{14}{8}=\frac{7}{4}[/tex]
There you go! Just remember the domain thing and you should be fine.
An ordinary dice is thrown once write down the probability that the dice lands on a number less that 3
Answer:
Probability = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Ordinary dive have sides = 6
Numbers less than 3 on it are = 2
Probability = [tex]\frac{No. OFPossibeOutcomes}{Total NumberOfOutcomes}[/tex]
Probability = [tex]\frac{2}{6}[/tex]
Probability = [tex]\frac{1}{3}[/tex]
Answer:
= 1/3
Step-by-step explanation:
There are two numbers less than 3= 1 and 2
there are total 6 numbers in a dice. So,
= 2/6 = 1/3
Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of $9.90 how much does each person pay?
Answer:
$10.68
Step-by-step explanation:
The question is incomplete as we were not given the cost of each pizza and each drink.
Dave and his 4 friends want to share the cost of a meal equally. They order 3 large pizzas and 5 small drinks. If they leave a tip of $9.90 how much does each person pay? If one large pizza cost $12 and small drink cost $1.5.
Solution:
one large pizza cost = $12
small drink cost = $1.5
3 large pizzas = 3×12 = 36
5 small drinks = 5×1.5 = 7.5
Tip = $9.90
Total cost = 36+7.5+9.9 = $53.4
Total number of people that want to share the cost = Dave and his 4 friends = 4+1 = 5
Each person pays = $53.4/5
Each person pays = $10.68
A baker uses 34 cup of honey in one of his cakes. There are 60 calories in 18 cup of honey.How many calories are in 34 cup of honey?
Answer: 3/4 = 6/8
so u need 60*6, so
c=60*6 ?
c meaning calories
Answer:
How many calories are in 3/4 cup of honey? = 60/ 1/8*3/4
How many cups of honey will the baker use for 15 cakes? = 3/4*15
How many cakes could the baker make if he has 78 cup of honey? = 7/8 divided by 3/4.
Step-by-step explanation:
Promise this is tried and tested
Order the integers from least to greatest:
-9, 3, 4, 5, 0
Answer:
I'm 99% sure this is the answer: -9,0,3,4,5
Step-by-step explanation:
Answer:
-9, 0, 3, 4, 5
Step-by-step explanation:
when you go from left to right on a number line the numbers increase and increase. So the numbers in least to greatest form
-9, 0, 3, 4, 5
Please answer (-3+4)2 and another one is -5(4-2) I need answers to both pleaseee
Answer:
Step-by-step explanation:
Think of the outside function as a scaling quantity. You are applying that outside term to each and every term on the inside, Thats the basis for the distributive property.
1.)3 x 2 + 3 x 8 = 24
Now that you got the steps down, ima do the rest in my head
2.) 2
3.) -10
4.) -50
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = ab + ac
a(b - c) = ab - ac
1) 3(2 + 8) = 3*2 + 3*8
= 6 + 24
= 30
2) (-3 + 4)2 = -3*2 + 4*2
= -6 + 8
= 2
3) -5(4 - 2) = -5*4 - (-5)*2
= - 20 + 10
= -10
4)(12 +13)(-2) = 12*(-2) + 13 *(-2)
= -24 - 26
= -50
There are 15 students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out
the following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board?
The number of ways can the teacher assign out is 75.
Given that,
There are 15 students in a kindergarten class.The following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board.Based on the above information, the calculation is as follows:
[tex]= 15\times 5[/tex]
= 75
Therefore we can conclude that The number of ways can the teacher assign out is 75.
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Select all the numbers that are in the range of the function f(x)=3-0.5x if the domain is {1,3,4}
Answer:
1
Step-by-step explanation:
Answer:
1,1.5,2.5
Step-by-step explanation:
f(x) = 3 - .5x
The domain is 1,3,4 so theses are the only inputs
f(1) = 3 - .5 = 2.5
f(3) = 3 - .5(3) = 3- 1.5 = 1.5
f(4) = 3 - .5(4) = 3-2 =1
The only outputs are 1,1.5,2.5
factorise f²-f-20 step by step
Answer:
(f+4)(f−5)
Step-by-step explanation:
The middle number is -1 and the last number is -20.
Factoring means we want something like
(f+_)(f+_)
We need two numbers that...
Add together to get -1
Multiply together to get -20
4+-5 = -1
4*-5 = -20
Fill in the blanks in
(f+_)(f+_)
with 4 and -5 to get...
(f+4)(f-5)
_______________________________
Hey!!
Solution,
f^2-f-20
= f^2-(5-4)f-20
= f^2-5f+4f-20
= f(f-5)+4(f-5)
=(f-5)(f+4)
So the answer is (f-5)(f+4)
Hope it helps..
Good luck on your assignment
_____________________________
CD and EF are parallel lines. AB is a straight line
Answer:
x =42
q = 135°
p + q + r = 225°
Step-by-step explanation:
a)
Since, AB and BC are perpendicular lines.
[tex] m\angle ABC = 90\degree \\
\therefore 24\degree + x\degree + 24\degree = 90\degree \\
\therefore x\degree + 48\degree = 90\degree \\
\therefore x\degree = 90\degree - 48\degree \\
\huge \red {\boxed {\therefore x = 42}} \\[/tex]
b) (i)
Since, CD and EF are parallel lines and AB is a straight line.
[tex] \therefore q = 135\degree... (vertical \: \angle 's) \\\\
p + 135\degree = 180°..(straight\: line \: \angle' s) \\
p = 180\degree - 135\degree \\
\huge \purple {\boxed {p = 45\degree}} \\
\because r = p ... (vertical \: \angle 's) \\
\huge \purple {\boxed {r = 45\degree}} \\
p + q + r = 45\degree + 135\degree + 45\degree \\
\huge \purple {\boxed {p + q + r = 225\degree }}\\[/tex]
A student takes his 2 dogs for a walk. He lets them off their leash in a field where Edison runs at 10 m/s and Einstein runs at 8 m/s. The student determines the angle between the dogs is 25°, how far are the dogs from each other in 5 seconds?
Answer:
The dogs are 21. 8 m from each other in 5 seconds
Step-by-step explanation:
Given;
speed of Edison, v = 10 m/s
speed of Einstein, u = 8 m/s
angle between the two dogs, θ = 25°
let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m
let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m
let the distance between the two dogs after 5 seconds = z
x , y and z forms a triangle with an angle between x and y as θ
The third side, z, can be calculated using cosine rule
z² = x² + y² - 2xyCosθ
z² = 50² + 40² - (2 x 50 x 40)Cos25
z² = 4100 - 4000Cos25
z² = 474.7689
z = √474.7689
z = 21.789 m ≅ 21. 8 m
Therefore, the dogs are 21. 8 m from each other in 5 seconds
∠A and \angle B∠B are complementary angles. If m\angle A=(2x+18)^{\circ}∠A=(2x+18) ∘ and m\angle B=(6x-8)^{\circ}∠B=(6x−8) ∘ , then find the measure of \angle B∠B?
Answer:
[tex]m\angle B=52^{\circ}[/tex]
Step-by-step explanation:
Two or more angles are said to be complementary if they sum up to 90 degrees.
Given that angles A and B are complementary, then:
[tex]\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}[/tex]
Answer:
56 :)
Step-by-step explanation:
rearrange to make x the subject
2x+3/5=y
Answer:
[tex]x=\frac{5y-3}{2}[/tex]
Step-by-step explanation:
[tex]\frac{2x+3}{5} =y[/tex]
[tex]2x+3=5y[/tex]
[tex]2x=5y-3[/tex]
[tex]x=\frac{5y-3}{2}[/tex]
The equation for x in terms of y is x=(5y-3)/2.
The given equation is y=(2x+3)/5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now the given equation can be rearrange to make x the subject as follows:
Cross multiply 5 to y.
That is, 2x+3=5y
⇒ 5y-3=2x
⇒ x=(5y-3)/2
Therefore, the equation for x in terms of y is x=(5y-3)/2.
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A single card is drawn at random from a standard 52 card deck.
Work out in its simplest form:
P(10)
=
P(not 10)
=
There are four 10 cards in the deck, so P(10) = 4/52 = 1/13
P(not 10) = 1 - P(10). This is because the maximum probability is 1, and the card you draw will either be 10, or not a 10.
P(not 10) = 1 - 1/13 = 13/13 - 1/13 = 12/13
Can someone please help me I’m stuck I don’t know what to do
Answer: its the 2nd one
Step-by-step explanation:
Micah is a busy college student. He carries a full load of classes and works a full time job to support himself financially while in college. Last semester, his total number of hours between job and classes each week usually amounted to about 80 hours. He has decided that he cannot do so many hours each week this semester. He feels that he has to cut back to about 80% as many hours. If half of his hours are to be school hours, how many school hours will he spend each week this semester?
Answer:
32 school hrs in a week.
Step-by-step explanation:
The reduction percentage =
80 x 0.80 = 64 (hrs)
The distribution =
64/2 = 32hrs
Which of the following best describes the perpendicular lines?
Answer:
A perpendicular line is a line that meets a 90 degree angle.
Step-by-step explanation:
Think of the letter L
the top stick of the letter is perpendicular to the bottom stick and it makes a 90 degree angle.
Thats the best way I can explain it.
Hope this helps and please mark me brainliest if it did :)
Answer:
Hey!
Your answer is B. Lines that meet at a 90 degree angle!
Step-by-step explanation:
Just think of an L or something...
The 2 lines meet together and you can then see close to the area they meet at 90 degree angles...
What is the simplified expression in standard form
Answer:
[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]
Step-by-step explanation:
[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]
The perimeter of a pentagon is 20t + 7.
Four sides have the following lengths:
6t, 2t, 4t – 5, and 5t + 1.
Answer:
3t+11
Step-by-step explanation:
A pentagon has 5 sides
Perimeter is the total measurement around an object=20t+7
we have not been given the 5th side measurement so lets make it x
6t +2t+4t-5+5t+1+x=20t+7
put the liketerm together i e
6t+2t+4t+5t-20t+x=7+5-1
17t-20t+x=11
-3t+x=11
x=11+3t.
So the measurements of the fifth side is 11+3t same as 3t+11
what is slope intercept form?
f(x) = 4x^2+2x+6 what is the discriminant of f? How many distinct real number zeros does f have?
Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is [tex]b^2-4ac[/tex], where the quadratic is in the form [tex]ax^2+bx+c[/tex]. The discriminant of this one is therefore:
[tex]2^2-4(4)(6)=4-96=-92[/tex]
Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.583
Answer:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]
And if we use the t- table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Step-by-step explanation:
For this case we know that the degrees of freedom are given:
[tex] df = n-1= 16[/tex]
And we want to find the following probability:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]
And if we use the t-table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
the volume of a cylindrical container is 1500 cm cube if the base area of the container is 120 cm cube what is the height of the container
Answer:
12.5cm
Step-by-step explanation:
The height is found in the following way:
Volume divided by Area of Cross section.
So,
1500 divided by 120 = 12.5 cm
Ryan went to the store to buy some walnuts. The price per pound of the walnuts is $4.50 per pound and he has a coupon for $2.75 off the final amount. With the coupon, how much would Ryan have to pay to buy 5 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.
Answer:
19.75.
Expression: 4.50pp - 2.75
(pp is the variable, pretend)
The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?
Answer:
Step-by-step explanation:
If you want to know what you have to multiply by 5 to get a product of 70, you would divide 70 by 5 to get that other number. Because 70 divided by 5 is 14, you know that the other number is 14. It's the same when you have one factor of a polynomial and want to know the other. You divide your polynomial by the one factor to get to the other factor, because when you multiply them together, you get back the polynomial you started with. Like when we found that 70 / 5 = 14, we know that when we multiply 14 by 5 we'll get the 70 we started with.
Long division of polynomials will be difficult to illustrate within this forum, but I'll do my best. What we want to do is divide [tex]6x^2+x-15[/tex] by 2x - 3:
__________
2x - 3 | [tex]6x^2+x-15[/tex]
First divide the 6 x-squared by the 2x (forget about the rest of what's inside the box for now, and also forget about the -3 for now. We'll deal with them later). 2x goes into 6 x-squared 3x times, because 2x * 3x = 6x-squared, right? So the 3x goes above the 6x-squared:
3x_______
2x - 3 | [tex]6x^2+x-15[/tex]
Now we multiply the 3x by the 2x and put that product under the 6x-squared. The product is 6x-squared (which will always be the case in division that they will subtract each other away. That's why we do this!)Then multiply the 3x by the -3 which is -9 and put that under the "+x" term:
3x________
2x - 3 | [tex]6x^2+x-15[/tex]
6x^2-9x
At this point we change the signs and have
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 +9x
And then we add and bring down the -15:
3x
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now do the division process again, this time dividing 10x by 2x (again the -3 will wait). 10x divided by 2x is 5 (because 2x * 5 = 10x, right?). The 5 goes above the +x on top:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
Now we wwill multiply the 5 by both the 2x and the -3 and subtract:
3x + 5
2x - 3 | 6x^2 + x - 15
- 6x^2 + 9x
10x - 15
- 10x + 15
Notice that when we subtracted, the 10x changed from + to -, and the -15 changed to a positive. The remainder is 0.
That tells us that the other factor of the polynomial is 3x + 5. You could also have done synthetic division, but it would be more difficult than this to illustrate because you would be dividing by 3/2. :/
