Answer:
Y(n)=15n+40
Step-by-step explanation:
Lets represent the number of bean stalks she plant by n and
the yield by Y.
It says in the question that when she plants 2 stalks, each plant yields 70 ounces of beans. When she plants 8 stalks, each plant yields 160 ounces of beans.
Which means 2 stalks correspond to 70 ounces and 8 stalks corresponds to 160 ounces we could write the data Mathematically like:
(2 , 70) and (8 , 160) are our coordinates where the x-axis would be n the number of beans stalks planted and y-axis would be Y the yield in ounces.
So we have two coordinates and to find the linear relationship we must find out the slope/gradient(m) of the linear function by the formula of slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{160-70}{8-2} \\\\m=\frac{90}{6} \\\\m=15[/tex]
so we plug in one of the coordinates and our slope in the point-slope formula :
[tex]y-y_1=m(x-x_1)[/tex]
where,
[tex](x_1,y_1)\ represent\ the\ coordinate\ (2,70)[/tex]
so plugging in the coordinate and the value of m we get:
[tex]y-y_1=m(x-x_1)\\y-70=15(x-2)\\y-70=15x-30\\y=15x-30+70\\y=15x+40\\[/tex]
so our the answer is the last option
Y(n)=15n+40
here x corresponds to n and y corresponds to Y(n)
a number s is at least -2 or less than -6 (how will it be graphed on a number line?)
Answer:
subtract 2-6 and the just put a - in front of 4 so -4
Step-by-step explanation:
Answer:
-2 will be 2 times to the left of zero and -6 would be 6 spaces to the left of zero.
Solve
5y+1/5y-25*1/25=0
Answer:
y = [tex]\frac{5}{26}[/tex]
Step-by-step explanation:
[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]
Simplify, remember the order of operarions;
1. Parentehsis
2. Exponents
3. Multiplication/division
4. Addition/subtraction
[tex]5y + \frac{1}{5}y - 25 * \frac{1}{25} = 0[/tex]
[tex]5y + \frac{1}{5}y - 1 = 0[/tex]
[tex]5y +0.2y - 1 = 0[/tex]
[tex]5.2y -1 =0[/tex]
Inverse operations;
[tex]5.2y -1 =0[/tex]
+1 +1
5.2y = 1
/5.2 /5.2
y = [tex]\frac{5}{26}[/tex]
g Suppose you work for a publishing company and before launching a new magazine targeting fashion-oriented consumers, your boss wants to hold a meeting with perspective advertisers. Assume that annual expenditures on magazine ads in this genre are normally distributed with a mean of $316,532 and a standard deviation of $45,635. If the publisher wants to exclude companies with the smallest 2.74% in terms of annual expenditures on magazine ads from the sales meeting, what is the approximate minimum annual expenditure on magazine ads an advertiser would be required to have so that advertiser would be invited to the meeting
Answer:
X ≈ 228913 $
Step-by-step explanation:
The standard score z is:
z = ( X- μ ) /σ (1)
Now z (score ) for 2,74 % is:
2,74 % is 0,0274 and from z table z (score) = - 1,92
By subtitution in equation 1
-1,92 = ( X - 316532 ) / 45635
- 87619,20 + 316532 = X
X ≈ 228913 $
Wilma is tiling her bathroom with tiles that measure 1 foot along each side. The bathroom is 15 feet long and 10 feet wide. She can lay 30 tiles per hour. Which of the following can be used to find the total number of hours it will take Wilma to cover the floor with tiles?
Answer:
(15 * 10) / 30 = x
Step-by-step explanation:
Since each tile is 1 foot on each side this means that each tile will cover 1 square foot (1ft * 1ft = 1sq. ft.). We would now need to find the square footage of the bathroom by multiplying the bathroom length by its width. Then we can divide that square footage by 30 tiles per hour to find out how long it will take to cover the floor with tiles.
(15 * 10) / 30 = x
150 / 30 = x
5 hours = x
Finally, we can see that at a pace of 30 tiles per hour, Wilma will be able to finish tiling her bathroom in 5 hours.
The radius of a cylindrical tank is 3’ and the height is 8’. What is the volume
Answer:
Given :-Radius of tank = 3 m Height of tank = 8 m To Find :-It's volume
Formula :-Volume = πr²h
Solution :-[tex] \tt \: volume = \dfrac{22}{7} \times 3 {}^{2} \times 8[/tex]
[tex] \tt volume \: = \frac{22}{7} \times 9 \times 8[/tex]
[tex] \tt \: volume = \dfrac{22}{7} \times 72[/tex]
[tex] \tt \: volume \approx \: 226.194[/tex]
Answer:
given. require. solution
r=3. v=? v=πr²h
h=8. v=3.14×3²×8
3.14×9×8
=226.08
What is 1/2x1/2 in fractions?
The requried multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts.
To multiply fractions, you simply multiply the numerators together and the denominators together.
The multiplication of 1/2 and 1/2 is calculated as follows:
(1/2) * (1/2) = (1 * 1) / (2 * 2)
= 1 / 4
Therefore, the multiplication of 1/2 and 1/2 is equal to 1/4. This means that if you divide a whole into 4 equal parts and then take one of those parts, it's equivalent to multiplying 1/2 by 1/2.
Learn more about multiplication here:
https://brainly.com/question/30942629
#SPJ6
8n^2-17
I NEED AN ANSWER
Answer: 37
Step-by-step explanation:
Write the equation of a line that is parallel to Y =3x-2 that passes through (4,1)
Answer:
The equation of the line is y = 3x - 11.
Step-by-step explanation:
We are given the equation of a line:
[tex]\bullet \ \ \ y = 3x -2[/tex]
We are also given a point at which the line passes through.
[tex]\bullet \ \ \ (4, 1)[/tex]
With parallel lines, it is important to note:
Parallel lines have the same slope.Parallel lines must have a different y-intercept.We can use the point-slope equation to find the equation of the line:
[tex]\displaystyle y-y_1 =m(x-x_1)\\\\y - 1 = 3(x - 4)\\\\y - 1 = 3x - 12\\\\y - 1 + 1 = 3x - 12 + 1\\\\y = 3x - 11[/tex]
Therefore, the line that is parallel to y = 3x - 2 and passes through the point (4, 1) is y = 3x - 11.
Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its faces equally often. We consider the outcomes of this experiment to be the ordered pairs of numbers on the dice, and the events of interest to be the different sums. (a) How many outcomes does this experiment have
Answer:
36
Step-by-step explanation:
Given that:
2 standard six sided dice are rolled :
Die 1 = 1, 2, 3, 4, 5, 6
Die 2 = 1, 2, 3, 4, 5, 6
Outcome = ordered pair of Number on the two dice
Event = different sum of the ordered pair of numbers.
The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies
= 6^2
= 36 different outcomes
Alex drives at an average speed that is
4/5 of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 18 km in her car.
Roy travels for 1 hour and 45 minutes on his train.
How far does Roy travel to 2 dp?
Step-by-step explanation:
Alex takes 15 min to travel 18km
=> 1 hour amd 45 min to travel 18 * 7 = 126km.
Hence Roy travel 126km * (5/4) = 157.50km.
Christopher is deciding between two landscaping companies for his place of business. Company A charges $30 per hour and a $200 equipment fee. Company B charges $50 per hour and a $100 equipment fee. Let
A
A represent the amount Company A would charge for
t
t hours of landscaping, and let
B
B represent the amount Company B would charge for
t
t hours of landscaping. Write an equation for each situation, in terms of
t
,
t, and determine the number hours,
t
,
t, that would make the cost of each company the same.
Answer:
A=30t+200
B=50t+100
The number of hours,t, that would make the cost of each company the same is 5.
30(5)+200= A
150+200=350
50(5)+100= B
250+100=350
What were some estimation strategies you used to keep yourself within the budget?
I'm not quite 'out there in the real world' but whenever I'm limited on money and whatnot, instead of trying to go ahead and add it all up by the exact price I'll round it up to the nearest dollar. Sometimes I'll even round it up two dollars. If it's something like '$25.98', I'll figure $27.00. That always helps me not spend as much.
Making a list and strictly following the list helps as well. I wouldn't try to spend money on things unessential, or things that you really don't have the money for.
sixteen less than 3 times a number is seventeen.
Answer:
the number is 11
Step-by-step explanation:
3x-16=17
3x=33
x=11
100 pts..[tex]ANSWER this question for your God's sake PLZ..[/tex]
Answer:
Step-by-step explanation:
a) [tex]5y+ab[/tex]
b) [tex]f^{3} -3\\[/tex]
c) [tex]6kq[/tex]
d) [tex]\frac{3xy}{2w} \\\\[/tex]
e) [tex]3x-4\sqrt{z} \\[/tex]
f) [tex]\frac{2p}{5q} \\\\[/tex]
[tex]a) 5y+ab5y+ab
b) \begin{gathered}f^{3} -3\\\end{gathered}
f
3
−3
c) 6kq6kq
d) \begin{gathered}\frac{3xy}{2w} \\\\\end{gathered}
2w
3xy
e) \begin{gathered}3x-4\sqrt{z} \\\end{gathered}
3x−4
z
f) \begin{gathered}\frac{2p}{5q} \\\\\end{gathered}
5q
2p
[/tex]
7. Are the ordered pairs below an arithmetic sequence or geometric
sequence?
(1,55)
(2, 45)
(3, 35)
(4, 25)
8. Using the formula: f(n) = f(1) + d(n-1), find f(9) for the ordered pairs
in #7.
Answer:
8. Arithmetic Progression
9. [tex]f(9) = 300[/tex]
Step-by-step explanation:
Given
[tex]\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}[/tex]
Solving (8): Arithmetic or Geometric
We start by checking if it is arithmetic by checking for common difference (d).
[tex]d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3[/tex]
This gives:
[tex]d = 45 - 55 = 35 - 45 = 25 - 35[/tex]
[tex]d = -10 = -10 = -10[/tex]
[tex]d=-10[/tex]
Because the common difference is equal, then it is an arithmetic progression
Solving (8):
[tex]f(n) = f(1) + f(n-1)[/tex]
To find f(9), we substitute 9 for n
[tex]f(9) = f(1) + f(9-1)[/tex]
[tex]f(9) = f(1) + f(8)[/tex]
We need to solve for f(8); substitute 8 for n
[tex]f(8) = f(1) + f(8 - 1)[/tex]
[tex]f(8) = f(1) + f(7)[/tex]
We need to solve for f(7); substitute 7 for n
[tex]f(7) = f(1) + f(7 - 1)[/tex]
[tex]f(7) = f(1) + f(6)[/tex]
We need to solve for f(6); substitute 6 for n
[tex]f(6) = f(1) + f(6 - 1)[/tex]
[tex]f(6) = f(1) + f(5)[/tex]
We need to solve for f(5); substitute 6 for n
[tex]f(5) = f(1) + f(5 - 1)[/tex]
[tex]f(5) = f(1) + f(4)[/tex]
From the function, f(4) = 25 and f(1) = 55.
So:
[tex]f(5)=55 + 25[/tex]
[tex]f(5)=80[/tex]
[tex]f(6) = f(1) + f(5)[/tex]
[tex]f(6) = 55 + 80[/tex]
[tex]f(6) = 135[/tex]
[tex]f(7) = f(1) + f(6)[/tex]
[tex]f(7) = 55 + 135[/tex]
[tex]f(7) = 190[/tex]
[tex]f(8) = f(1) + f(7)[/tex]
[tex]f(8) = 55 + 190[/tex]
[tex]f(8) = 245[/tex]
[tex]f(9) = f(1) + f(8)[/tex]
[tex]f(9) = 55 + 245[/tex]
[tex]f(9) = 300[/tex]
Solve the following logarithmic equation.
which of the values satisfy the following inequality
|x-7.5| ≤ 17
select all that apply.
a. x = 27
b. x = -9
c. x = -10
d. x = 20
Answer:
So first look at the symbol. It must be less than or equal to 17.
By elimination A is 20.5 which is wrong
B is -16.5 by abs =16.5
C is -17.5 by abs = 17.5
D is 12.5
So B and D are possible solutions..
Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.
[tex]( - 5 {x}^{2} - 2x + 4) + (8 {x}^{2} - x - 1) - (x + 2)(x - 5)[/tex]
The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
______
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0
Answer:
The polynomial simplifies to a quadratic with a degree of 2
Step-by-step explanation:
Expand and simplify everything
-5x²-2x+4+8x²-x-1-x²+5x-2x+10
-5x²+8x²-x²-2x-x+5x-2x+4-1+10
2x²+13
Pls Answer the Question in the Photo
PLEASE HELP I WILL GIVE BRAINLIEST AND MAX POINTS
Select the statement that describes the end behavior of the function
A. As x approaches negative infinity, the function approaches positive infinity
B. As x approaches negative infinity, the function approaches negative infinity
C. As x approaches positive infinity the function approaches negative infinity
D. As x approaches positive infinity, the function approaches 0
Answer:
C
Step-by-step explanation:
when x is negitive, y has an asitope of 0 so not a
when x is negitive, y has an asitope of 0 so not b
when x is positive, y does keep going down so c
when x is positive, y does keep going down and doesn't seem to be approching 0 so not d
Whoever answers gets brainlist!
Answer:
The answer would be A) 25
Step-by-step explanation:
Subtract 420 by 45 which is 375. The you just Divide 375 by 15 which is 25
Hope this helps! :)
Tell me if i am right or wrong!
Answer:
25
Step-by-step explanation:
because 420-45= 375÷15=25
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent solve step by step
Given,
CP of cosmetics = Rs 360 per dozen
SP of a pair of cosmetics = Rs 80
We need to find the profit percentage.
Solution,
We know that,
1 dozen = 12 items
CP of 1 cosmetic = 360/12 = Rs 30
SP of 1 cosmetic = 80/2 = Rs 40
Profit = SP-CP
= Rs 40 - Rs 30
= Rs 10
Profit percentage is given by :
[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]
So, the profit percentage is 33.34%.
Triangle MNO is congruent to Triangle PQR. What is the measure of
Answe
Step-by-step explanation:
Answer: C :79.5
Step-by-step explanation:
Since both triangles are congruent the angles are also congruent. P the measure we are trying to find is congruent to M since they’re equal it should look like this
5x-19 = 3x+20.4
5x = 3x+ 39.4
2x = 39.4
X= 19.7
to find the measure of angle P plug in X to its equation so
3x + 20.4
3 (19.7) + 20.4
= 79.5
What is the measure of angle A in the triangle?
Answer:
Angle A = 50°
Step-by-step explanation:
(2x - 10) + (x + 30) + 70 = 180
3x = 180 + 10 - 30 - 70
3x = 90
x = 90/3
x = 30
A = 2x -10
A = (2 * 30) - 10
A = 60 - 10
A = 50
Ted has scored 90 points in the first 5 games of the season. How many points per game has he scored?
Answer:
18
Step-by-step explanation:
Divide 90 by 5
w/6 = 6/9 Im failing mathhhh helpppp
Answer:
W = 4
Step-by-step explanation:
4/6 = 6/9
2/3 = 2/3
Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6-9)?
OA. x= -9
OB. x=-6
Oc. y=9
OD. y= -4
Answer:
B. x = -6
Step-by-step explanation:
A line with the equation, y = ¼, is a horizontal line. Therefore, the line that is perpendicular to it would be a vertical line, which can be represented by the equation, x = a. Where, a is the x-value or the point where the vertical line intersects the x-axis. This x-coordinate remains the same for every point on the vertical line.
Thus, since the perpendicular line passes through (-6, -9), therefore, the value of a = -6.
Thus, the equation of the perpendicular line would be:
x = -6
add the following algebraic expressions by vertical arrangement method
Answer:
9x + 2y
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
7x - 3y + 2x + 5y
Step 2: Simplify
Combine like terms (x): 9x - 3y + 5yCombine like terms (y): 9x + 2y12.3 + 17.8 - ( 3.3 x 2 )
Answer:
23.5
Step-by-step explanation:
12.3 + 17.8 - ( 3.3 x 2 )
12.3 + 17.8 - ( 6.6 )
30.1 - 6.6
23.5
The ratio of apples to oranges in the fruit bowl is 1: 9 in the small bowl. If the extra large bowl has 40 fruit in total. How many are oranges?