Answer:
a₃₀ = - 18
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = a₂ - a₁ = 10 - 11 = - 1, then
[tex]a_{n}[/tex] = 11 - (n - 1) = 11 - n + 1 = 12 - n , thus
a₃₀ = 12 - 30 = - 18
slope of y= 4x - 1.
Answer:
Slope m = 4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
[Slope-Intercept] y = 4x - 1
Step 2: Break Function
Identify Parts.
Slope m = 4
y-intercept b = -1
(1+2/3) / x = (2+7/9)
Answer:
x=45/75
Step-by-step explanation:
(1+2/3)/x= 2+7/9
5/3x=25/9
5*9= 3x*25
45=75x
x= 45/75 orx=0.6
Which of the following is NOT a ratio?
A- (1,2)
B- 1:2
C- 1/2
D- 1 to 2
Answer:
A is not a ratio
Step-by-step explanation:
Answer:
A. - (1,2)
Step-by-step explanation:
We can represent the ratio as a fraction (like in C.), by using the preposition "to" just like in D, and by using a ":" sing just like in number B. So that leaves us with only one option which is A.
Casey is trying to run a certain number of miles by the end of the month if Casey is 60% of the way to achieving our goals and she has already ran 24 miles how many miles is she trying to run by the end of the month
Answer:
40 miles is her goal.
Step-by-step explanation:
The problem says that 24 miles is 60% of her goal for that month.
You cab make a proportion with x being the goal for the whole month.
24/x = 6/10
You cross multiply and get:
6x = 24 x 10
6x = 240
x = 40
40 miles is the answer.
-4 + 9(7 + 3f) please help
Answer:
27f + 59
Step-by-step explanation:
Tash conducted a survey of the students in her school.
From the results, Tash calculated that 60% of the
students go to school by bus.
Lian knows that 450 students go to school by bus.
How can she use the information to find the number of
students in the school?
Answer:
The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.
Pls help and show workings due ASAP
Answer:
x is 5
ST is 45
Step-by-step explanation:
In the given figure
∵ m is the bisector of the segment SU
→ That means m intersects SU at the midpoint of SU
∵ m ∩ SU at point T
∴ T is the midpoint of SU
→ The midpoint of a segment divides it into two equal parts
∵ The point T divides SU to ST and TU
∴ ST = TU
∵ ST = 9x
∵ TU = 4x + 25
→ Equate them
∴ 9x = 4x + 25
→ Subtract 4x from both sides
∵ 9x - 4x = 4x - 4x + 25
∴ 5x = 25
→ Divide both sides by 5
∴ x = 5
→ Substitute the value of x in ST
∵ ST = 9(5) = 45
∴ ST is 45
Help a brother out!!
Which of the following are characteristics of the parent function represented
by the equation F(x) =x^3?
As
Select all that apply.
A. It is a parabola.
B. It passes through quadrants I and III.
C. It has a domain and range of all real numbers.
D. It goes through the origin.
E. It is symmetric about the x-axis.
Answer:
B,D,E for sure
Step-by-step explanation:
Not A because a parabola looks different. Not sure about C.
Answer:
Step-by-step explanation:
The perimeter of a triangle is 21. The smallest side is 3. The 2nd side is twice the smallest side. The 3rd side is 6 more than the 2nd side. Write an equation to solve for the perimeter. Then find the ____ and ____.
Fill in the blanks.
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the smallest side is 3 and that the 2nd side is twice the smallest side. This means that the second side will be:
= 3 × 2 = 6
The 3rd side is 6 more than the 2nd side. The 3rd side will be:
= 6 + 6 = 12
The perimeter of a triangle is the addition of its sides. Therefore, the perimeter is:
= 3 + 6 + 12
= 21
The sides are:
1st side = 3
2nd side = 6
3rd side = 12.
HELP ILL GIVE BRAINLIEST Write (2 + 3i)^3 in simplest a + bi form.
Answer:
18
Step-by-step explanation:
(2+3)^3 = (6)^3 = 18
Step-by-step explanation:
18
(2 + 3)^3=(6)^3=18
The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?
Answer:
6.4294 years
Step-by-step explanation:
45.1 million in 2009 -- 2.3% each year
In what year will the population exceed 52.2 million?
We use exponential growth formula
ξ(t) = y = ab^t
a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2
52.2/45.1 = (1.023)^t
We take log both side
Log(1.15742794) = tlog(1.023)
0.0634939619 = t0.00987563371
t = 0.0634939619/0.00987563371
t = 6.429355701569454
t = 6.4294 years
A fruit basket of apples and oranges has 14 fruit Apples cost $3 each and orange cost $2 each the fruit basket costs $34 write and solve a system of linear equations to determine how many apples x and oranges y are in the fruit basket
Answer:
3(a)+2(o)=14
3(a)+2(o)=34
3(4)+2(1)=14
3(8)+2(5)=34
Step-by-step explanation:
4 apple's and one orange to get 14 pieces of fruit. 8 apples and 5 oranges to get 34 pieces of fruit.
- 3 1/3 = - 1/2g. Show work plz
Answer:
Points
Step-by-step explanation:
Зу + 6x = 12
8х + 4у - 16
How many solutions does this system of linear equations have? Explain.
Answer:
Step-by-step explanation:
Victor left his house riding his bike at a speed of 18 km/h. When Victor was km away from his house his brother Alex left the house riding at a rate of 24 km/h. How long will it take Alex to catch up with Victor?
Complete question :
Victor left his house riding his bike at a speed of 18 km/h. When Victor was 1/2 km away from his house his brother Alex left the house riding at a rate of 24 km/h. How long will it take Alex to catch up with Victor?
Answer:
0.083333 or 5 minutes
Step-by-step explanation:
Victor's speed = 18 km/hr
Alex's speed = 24 km/hr
Alex left after Victor has moved a distance of 1/2 km
Time Alex will catch up with Victor :
Let time = x
distance at which Victor = Alex
(18 * x) + 0.5 = (24 * x)
18x + 0.5 = 24x
18x - 24x = - 0.5
-6x = - 0.5
x = 0.5 / 6
x = 0.0833333 hour
x = 0.0833333 *60 = 5 minutes
Answer:
5 min
Step-by-step explanation:
Look at the line segment that is graphed below.
What is the length of PQ¯¯¯¯¯, rounded to the nearest tenth?
P= -6,2 Q= 4,-7
Answer:
11.2
Step-by-step explanation:
A shipping container will be used to transport several 80-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25000 kilograms. Other shipments weighing 9200 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?
Answer:
197
Step-by-step explanation:
Given that :
Weight of crate = 80kg
Greatest weight container can load = 25000 kg
Weight of other shipments on container = 9200kg
Greateat Number of 80kg crates = c
Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container
9200 + (80 * c) ≤ 25000
9200 + 80c ≤ 25000
80c ≤ 25000 - 9200
80c ≤ 15800
c ≤ 15800 / 80
c ≤ 197.5
Hence, maximum number of 80kg crate is 197
The inequality which can be used to determine c will be "[tex]9200 + 80c \leq 25000[/tex]". A complete solution is below.
Given values are:
Crates' weight,
80kgGreatest weight container,
25000 kgOther shipments' weight
9200 kgLet,
The Greatest number of 80kg crates will be "c".Now,
As we know the formula,
→ [tex]Other \ shipments' \ weight + (Crates' \ weight\times Number \ of \ crates) \leq Greatest \ weight \ container[/tex]By substituting the values, we get
→ [tex]9200 + (80\times c) \leq 25000[/tex]
→ [tex]9200 + 80c \leq 25000[/tex]
Thus the above response is right.
Learn more:
https://brainly.com/question/22154354
A promoter buys advertising in units of $30,000 each. If he buys two units of broadcast TV, one unit of cable TV, and two units of radio, how much does he spend in advertising?
Answer:
$150,000
Step-by-step explanation:
The first step is to calculate the total number of units
= 2 +1 +2
= 5
If he buys at the rate of $30,000 for one unit then the total money spent on advertising can be calculated as follows
= 30,000 × 5
= 150,000
Hence the promoter spends $150,000 on advertising
(2,-8) and has a slope of 4
Answer:
The equation of the line is;
y = 4x - 16
Step-by-step explanation:
Here, we want to find the equation of a line that passes through the point (2,-8) and has a slope of 4
To get this equation, we are going to use the point-slope form
Thus, we have it that;
y-y1 = m(x-x1)
y -(-8) = 4(x-2)
y + 8 = 4x - 8
y = 4x -8-8
y = 4x - 16
Use the distributive property to write the next step in simplifying the numerical expression
4(8+9)
ОА. 4•8+9
ОB. (4+B)•(4+9)
ОC. 4+8•4+9
OD.4•8+4•9
help please and thank you :)
9514 1404 393
Answer:
(b) see below
Step-by-step explanation:
These tables all have x-values that are consecutive integers, including 0.
The equation has an x-coefficient of -1/2, so as x increases by 1, y should decrease by 1/2 from one row of the table to the next. This is only the case for table B.
__
As another check, the y-value for x=0 is the constant in the equation, -1. That is not the case for table C, further evidence that C is incorrect.
Which expression means the same as the phrase below?
Subtract 3 from the product of 8 and 5
A (5 x 8) + 3
B (5 x 8) - 3
5 x (8 – 3)
D5 x (8 + 3)
please answer, I need help asap, thanks :p
Answer:
Angle A = 15
Angle B: 105
Step-by-step explanation:
Angle A and 75° add up to 90°
75 + x = 90
x = 90 - 75
x = 15
Angle B and 75° add up to 180°
75 + x = 180
x = 180 - 75
x = 105
Examine the regular pentagon below.
Over what interval is the function nonlinear?
Answer:
Step-by-step explanation:
3rd one
what is the sum of the sequence 2+5+8+11+...+296
Which question can be answered using the expression 1/3 Divided By 3/4
Answer:
0.4
Step-by-step explanation:
The question that can be answered using the expression can be 1/3 of the total apple pie is divided in to 3/4 parts.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is 1/3 ÷ 3/4.
Here the operation is division.
So 1/3 of something is divided in to 3/4 parts.
Let a total amount of something be 1/3 units.
Suppose you have to divide it into 3/4 parts.
Then this expression can be used.
Let the total amount of apple pie left is 1/3 part of the total.
You have to divide t into 3/4 parts.
Hence the word problem can be 1/3 of the total apple pie is divided in to 3/4 parts.
Learn more about expressions here :
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The unit rate for 156$ for 3 books is $___ per book
An
$52
Step bro
suck it
Answer:
52$
Step-by-step explanation:
Divide for the unit price of 1 book.
You get $52
Which expression is a way to represent the ratio of a to b?
b:a
b to a
a/b
b/a
Answer:
a/b
Step-by-step explanation:
ratio is a to b so a:b or a/b
What do 5a represent in f(x)=5ax
Answer:
[tex]y = mx + c \\ f(x) = 5ax[/tex]
By comparing both the equation we get that,
5a represent a slope in f(x)