the table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years till the trees were planted,
what is the rate of change of the average height and feet of the trees on the farm with respect to the number of years since the trees were planted?
Answers
Step-by-step explanation:
the equation :
Hn = 7n + 3
where :
Hn : the height of trees at year to-n
n : year to-n (n = 1,2,3,...)
so, the rate of change : increasing 7 feet per year.
The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope could be positive or negative.
The slope is also calculated by differentiation for example slope of y = sinx will be y' = cosx.
The rate of change also refers to the slope.
The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by
Slope = (y₂ - y₁)/(x₂ - x₁).
Taking two points (1,10) and (3,24)
Slope associated with these;
(24-10)/(3-1) = 7
Hence "The rate of change of the average height and feet of the trees on the farm with respect to the number of years will be 7".
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Related Questions
pls answer from exercise 14.1 a
Answers
Answer:
b = 2a - 1
Step-by-step explanation:
a = 1 , b = 2 x 1 - 1 = 2 - 1 = 1
a = 2 , b = 2 x 2 - 1 = 4 - 1 = 3
a = 3, b = 2 x 3 - 1 = 6 - 1 = 5
a = 4, b = 2 x 4 - 1 = 8 - 1 = 7
Answer:
b = 2a - 1
Step-by-step explanation:
We can see the pattern:
1 = 1 + 0 = 1 + 1 - 1
1 = 1 - 1
3 = 2 + 1 = 2 + 2 - 1
3 = 2 + 2 - 1
5 = 3 + 2 = 3 + 3 - 1
5 = 3 + 3 - 1
7 = 4 + 3 = 4 + 4 - 1
7 = 4 + 4 - 1
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.
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A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs $99, will the coach need to spend more than $1,000 for the bleachers? How can you decide without using division? and links are included to but if it is to cheat i am reporting them
Answers
Answer:
No need to spend more than $ 1,000
Step-by-step explanation:
assume the coach needs 10 set
10 set will cover 10×56 = 560 people that more than 453.
so,
the cost is only 10× $99 = $ 990
that less than $ 1,000
Answer:
Fewer than 10 sets of bleachers are needed. This is because 5610 560, which is greater than 453. The cost of 10 sets of bleachers would be $9910 $ 990, which is less than $1,000. The coach will not need to spend more than $1,000 for the bleachers.
1)Lesley's fruit salad contains 40% grapes. Circle the figure that represents 40%.
Answers
the last one
Step-by-step explanation:
it is 40/100
Find the value of x
7-10 plsss
Answers
Answer:
Step-by-step explanation:
Hope it helps u!!
The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.
What is Polygons?Polygons are closed figures which has at least three set of line segments joined together.
The polygon with least number of sides is triangle.
7) It is a polygon with 4 sides (quadrilateral)
Sum of the interior angles of a quadrilateral = 360°
45° + 65° + 95° + x = 360°
x = 360° - (45° + 65° + 95°)
x = 155°
8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.
There are 6 sides.
Sum of the interior angles = (6 - 2)180° = 720°
x + 140 + 130 + 120 + 90 + 150 = 720
x = 90°
9) n = 5
Sum of the interior angles = (5 - 2) 180° = 540°
2x + 90 + 100 + 70 = 540
2x = 280
x = 140°
10) Sum of the exterior angles of a polygon is 360°.
4x + x + 98 + 162 = 360
5x = 100
x = 20°
Hence the values of x are found.
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Find the value of x.
Answers
Answer:
[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]
compete the two column proof
Answers
Answer:
i cant read half the stuff on the paper
bye
Write the opposite of the situation:
8 yd. gain in foot ball
pls help will give brainiest for fast and correct answer
1
Answers
Answer:
-8 yd. lost in football
Step-by-step explanation:
Compute 3 1/3 devided by 20 which is the quotient in the simplest form?
Answers
9514 1404 393
Answer:
1/6
Step-by-step explanation:
(3 1/3)/20 = (10/3)×(1/20) = 10/60 = 1/6
3. Which graph shows the probability distribution of the spinner (red, green, blue, yellow)?
Answers
Answer: the first graph does
Step-by-step explanation:
Write each percent as a common fraction
16 2/3
Answers
9514 1404 393
Answer:
1/6
Step-by-step explanation:
16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6
Determine whether the distribution below represents a probability distribution.
x
P(x)
3
-.3
6
.5
9
.1
12
.3
15
.4
Answers
Answer:
No, not a probability distribution.
Step-by-step explanation:
It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.
In AKLM, k = 7.7 cm, m = 5.8 cm and ZM=139°. Find all possible values of ZK, to the
nearest 1oth of a degree.
Answers
Answer:
no possible triangles
Step-by-step explanation:
just turn it in blank on delta
28. Scott is participating in a monthly push-up challenge. Each day he is expected to increase the number of push-ups he completes by the same amount.
1 2 3 4
On day 1, Scott completed 3 push-ups. On day 2, Scott completed 5 push-ups. On day 3, Scott completed 7
push-ups. On day 4, Scott completed 9 push-ups.
If Scott continues this pattern, how many push-ups will he be able to
Answers
Answer:
On day 5, he should be able to do 11
Step-by-step explanation:
Day 1 - 3
Day 2 - 5 (2 more than day before)
Day 3 - 7 (2 more than day before)
Day 4 - 9 (2 more than day before)
Following this pattern of +2, day 5 should be 11.
that's my thought process, so I hope it works
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary school when the population reaches 100,000. If there are currently 76,000 people living in the town, how long do they have before the new school will be needed?
Answers
Answer:
The correct solution is "4.6".
Step-by-step explanation:
Given:
Interest rate,
r = 6.2%
or,
= 0.062
Amount,
A = 100000
Principle,
P = 76000
As we know,
⇒ [tex]A=P(1+\frac{r}{100} )^n[/tex]
On substituting the values, we get
⇒ [tex]100000=76000(1+\frac{6.2}{100} )^n[/tex]
⇒ [tex](1+0.062)^n=\frac{100}{76}[/tex]
On taking log both sides, we get
⇒ [tex]n \ log_e(1.062)=log_e(\frac{100}{76} )[/tex]
⇒ [tex]n=\frac{ln(\frac{100}{76} )}{ln(1.062)}[/tex]
By putting the values of log, we get
⇒ [tex]=4.5622[/tex]
or,
⇒ [tex]=4.6[/tex]
00:00
Find the surface area of the square pyramid. Enter your answer in the box.
10 cm
A
11 cm
11 cm
cm2
Answers
Hopefully it helps ya
WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. over the course of 4 months,their combined bill is 1,520. write the system of equations that describes this situation and solve it to find the montly payments for anita and casey.
Answers
Answer:
1520/4=380 per month
Step-by-step explanation:
The monthly payments for Anita and Casey are 230 and 150.
What is equation?"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."
Assume
Monthly payments for Anita = x
Monthly payments for Casey = y
We have
Anita pays 80 more than Casey does each month.
We can write the equation
x = y + 80
x - y = 80 ...........................(1)
Over the course of 4 months, their combined bill is 1,520.
We can write the equation
4x + 4y = 1520...................(2)
Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)
⇒4x + 4y = 1520
⇒4(y + 80) + 4y = 1520
⇒4y + 320 + 4y = 1520
⇒8y = 1520-320
⇒8y = 1200
⇒y = [tex]\frac{1200}{8}[/tex]
⇒y = 150
Substitute y = 150 in equation (1)
⇒x - y = 80
⇒x - 150 = 80
⇒x = 80+150
⇒x = 230
Hence, the monthly payments for Anita and Casey are 230 and 150.
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-picture linked-
ILL MARK BRAINLIEST
PLEASE HELP ME ASAP
Answers
Answer:
a
Step-by-step explanation:
4. The mode of the following data set is 15, 16, 17, 23. 11, 19, 20, 15, 18, 22. 15, 19
Answers
Answer:
Step-by-step explanation:
the mode of the given data is 15 because it repeats highest number of times.
You find a mutual fund that offers approximately 6% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $711.32
O B. $994.60
O c. $912.86
O D. $972.84
Answers
$972.84 is invested in total after 1 year.
Correct option is (D)
What is compound interest?Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.
As per the given data:
Compounding frequency (n) = 12
Final value (FV) = $1000
Time period (t) = 12 months = 1 year
[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]
FV – Future worth of the investment is the final balance in our calculation.
P – Initial balance (the value of the investment);
r – Annual interest rate (in decimal);
n – Number of times the interest is compounded per year (compounding frequency); and
t – Numbers of years the money is invested for.
Substituting the given values
[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]
[tex]P = \$ 972.84[/tex]
Hence, $972.84 is invested in total after 1 year.
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What is the total number of outcomes for choosing a numbered card from 1 to 10 and a number on a
number cube labeled one to six?
Answers
the total number of out comes would be 16^2 or 256.
some extra things...
A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.
a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.
if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.
Which equation is not equivalent
Answers
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12
Find the product and fill in the blanks to write in standard complex number form.
(5+3)(8 - 2) =
Answers
Answer:
14
Step-by-step explanation:
Find the product and fill in the blanks to write in standard complex number form.
Q 36: The side of square ABCD measures n cm. We know that n is a natural number and that the area of quadrilateral AECF is 66 cm2. Of all the rectangles that have an area of 2n2, how many have a perimeter greater than 100 cm?
Answers
Answer:
Step-by-step explanation:
45 cm + 30 cm x 2 = AREA
3.04 divided by 0.04
Answers
Answer:
76
Step-by-step explanation:
3.04/ 0.04=76
Multiply (3x - 2)(4x - 7).
7x² - 13x+5
B)
7x2 - 29x + 14
C)
12x2 - 13x + 14
D)
12x2 - 29x + 14
Answers
Answer:
D
Step-by-step explanation:
...............
.
....
Step-by-step explanation:
[tex] \tt \mapsto \:(3x - 2)(4x - 7) \\ \tt \mapsto \:3x(4x - 7) - 2(4x - 7) \\ \tt \mapsto \: {12x}^{2} - 21x - 8x + 14 \\ \tt \mapsto \: {12x}^{2} - 29x + 14[/tex]
Option D is correct
Which graph represents the solution set of the inequality x+2267
-1 0
3
.
10
9 -
1
3
5.
B
O +
-6--4--221
0
1
3
15
-6
1
10
1
Answers
Answer: D
Step-by-step explanation:
Using the gross profit method, find the estimated cost of goods sold for the following data and
net sales value of $600.00 to estimate inventory if gross profit on sales is 30 percent.
• January 1 inventory: 320 serving trays purchased at $1.50 per unit cost
• April 1 inventory: 300 serving trays purchased at $1.10 per unit cost
• July 1 inventory: 100 serving trays purchased at $2.00 per unit cost
O $1,010.00
O $420.00
O $200.00
O $330.00
Answers
Answer:
$420.00
Step-by-step explanation:
Answer this question pls!! (Will give Brainliest)
Answers
22
(All you’re doing is plugging in the values into the formula)
Answer:
22
Step-by-step explanation:
C=2πr
[tex]C=2*3\frac{1}{2} *\frac{22}{7} =2*\frac{7}{2} *\frac{22}{7} =22[/tex]
What is the answer to this bonus question? And I need a step by step explanation please
Answers
Answer:
Q = 9.1º
Step-by-step explanation:
Law of Cosines
c² = a² + b² - 2ab * cosC
1.3² = 7² + 7.6² - 2(7)7.6 * cosQ
1.69 = 106.76 - 106.4 * cosQ
Subtract 106.76 from both sides
-105.07 = -106.4 * cosQ
Divide both sides by -106.4
0.9875 = cosQ
Q = arccos0.9875
Q = 9.068721546032704
Rounded
C = 9.1º
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have? First complete the equations below, where N stands for nickels and D stands for dimes. [?]N + [ ]D = 1.65; N + D
Answers
Answer:
Step-by-step explanation:
Let n represent nickels & d dimes
given: n + d = 25 #1 (number of coins)
given: .05n + .10d = 1.65 #2 (amount in dollars)
n = 25 - d #3 (rewrite of #1)
.05(25 -d) + .10d = 1.65 (substitute #3 in #2)
1.25 - .05d + .10d = 1.65 (multiply out the left side)
.05d = .40 (collection of like terms)
d = 8 (divided both sides by.05)
n + 8 = 25 (substitute answer for d in #1)
n = 17 (subtract both sides by 8)
There are 8 dimes and 17 nickels.
Check:
17(.05) + 8(.10) = 1.65 (answers in #2)
.85 + .80 = 1.65 (multiply out the left side)
1.65 = 1.65 ✔️ QED
Answer: There are 8 dimes and 17 nickels.
Step-by-step explanation: 0.05N+.10D=1.65; N+D=25