Answer:
The height of the tree is 18 inches plus 8 inches for each year since the tree was transplanted.Explanation:
Please, find attached an image with the table that accompanies this question.
1. Pattern
The table is:
Years: 2 4 5 8 9
Height (in.): 34 50 58 82 90
The most simple pattern is a linear pattern. A linear pattern has a constante rate of change.
The rate of change between two points is:
rate of change = change in the output / changee in the inputFind the rate of change for the data:
(50 - 34) in / (4 - 2) year = 16in / 2year = 8in/year(58 - 50) in / (5 - 4) year = 8in/1year = 8 in/year(82 - 58) in / (8 - 5) year = 24in / 3year = 8 in/year(90 - 82) in / (9 - 8) year = 8in / 1 year = 8 in/yearHence, the heigth and the years since the tree was transplantated show a linear relationship: every year the tree grew 8 inches.
2. Intial height:
You can find the initial height of the tree by using the rate of change of the height.
At year 2: height = 34 inchesAt year 1: height = 34 inches - 8 inches = 26 inchesAt year 0: height = 26 inches - 8 inches = 18 inches3. Relationship
You can describe the relationship in terms of the initial height and the numbers of years since the tree was transplantated.
Then, the height of the tree is 18 inches plus 8 inches for each year since the tree was transplanted.
You can even write an equation (function):
name H the height of the tree in inchesname y the number of years since the tree was transplantatedthe equation is: H = 18 + yAt a basketball game, a team made 56 successful shots. They were a combination of 1- and 2-point shots. The team scored 95 points in all. Write and solve a system of equations to find the number of each type of shot.
To find the number of each type of shot, we can create a system of equations based on the given information and solve it. The equations are x + y = 56 and x + 2y = 95.
Explanation:To solve this problem, we can create a system of equations based on the given information. Let's assume that the team made x 1-point shots and y 2-point shots. We know that the team made 56 successful shots in total, so the first equation is x + y = 56. We also know that the team scored 95 points in total, and since each 1-point shot contributes 1 point and each 2-point shot contributes 2 points, the second equation is x + 2y = 95.
Now we can solve this system of equations:
x + y = 56
x + 2y = 95
By solving these equations, we can find the values of x and y, which represent the number of 1-point and 2-point shots respectively.
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Team made 17 1-point shots and 39 2-point shots.
Let's define variables to set up the system of equations:
x: the number of 1-point shots
y: the number of 2-point shots
We know from the problem statement that:
The total number of shots is 56.
The total points scored is 95.
We can represent these conditions with the following system of equations:
Equation 1: x + y = 56
Equation 2: x + 2y = 95
Now, let's solve this system step-by-step:
Step 1: Solve Equation 1 for x:
x = 56 - y
Step 2: Substitute this expression into Equation 2:
56 - y + 2y = 95
Step 3: Simplify and solve for y:
56 + y = 95
y = 39
Step 4: Substitute y back into Equation 1 to find x:
x + 39 = 56
x = 17
Thus, the team made 17 1-point shots and 39 2-point shots.
Which functions have the same transformations? WILL MARK BRAINLIEST
Answer:
B) [tex]f(x)=3e^x^+^6-4[/tex]
D) [tex]f(x)=3(x+6)^2-4[/tex]
Step-by-step explanation:
I did what the other person said and I got 1/2.
The correct functions have the same transformations are,
⇒ f (x) = 3eˣ⁺⁶ - 4
And, f(x) = 3(x+6)² - 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The function is,
⇒ f (x) = 3 csc (x + 6) - 4
Now, In the given function;
⇒ f (x) is a translation of g(x) = 3csc x of 6 units to the left and 4 units down.
By options;
⇒ f (x) = 3eˣ⁺⁶ - 4
And, f(x) = 3(x+6)² - 4
Both function is a translation of 6 units to the left and 4 units down.
Thus, The correct functions have the same transformations are,
⇒ f (x) = 3eˣ⁺⁶ - 4
And, f(x) = 3(x+6)² - 4
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Which is an equation in point-slope form of the line that passes through the points
(-4, - 1) and (57) ?
Answer:
look at the picture shown
You spend $288 on clothes. Shirts cost $24 and pants cost $32. you buy a total of 10 items
Answer:
I have bought 4 shirts and 6 pants.
Step-by-step explanation:
Let I have bought x number of shirts and y number of pants.
So, the two equation that we can write from the given conditions are
x + y = 10 ............. (1) and
24x + 32y = 288 ...... (2)
Now, solving equations (1) and (2) we get
24x + 32(10 - x) = 288
⇒ 8x = 320 - 288 = 32
⇒ x = 4
And y = (10 - 4) = 6
Therefore, I have bought 4 shirts and 6 pants. (Answer)
Find the value of Y so that r||s.
Answer:
y = 56
Step-by-step explanation:
the two angles are equal to 180
y - 24 +3y - 20 = 180
4y - 44 = 180
4y = 224
y = 56
the area of a rectangle is 45 x^8 x^9 square yards. And the length is of the rectangle is 5 x^3 x^4 yards. Which expression represent the width of the rectangle in yards
Answer:
[tex]width \: of \: the \: rectangle \\ = \frac{area \: of \: rectangle}{length \: of \: rectangle} \\ \\ = \frac{45 {x}^{8} \times {x}^{9} }{5 {x}^{3} \times {x}^{4} } \\ \\ = \frac{45 {x}^{8 + 9} }{5 {x}^{3 + 4} } \\ \\ = \frac{45 {x}^{17} }{5 {x}^{7} } \\ \\ = 9 {x}^{17 - 7} \\ \\ = 9 {x}^{10} \: yards \\ \\ \therefore \: width \: of \: the \: rectangle \\ \: \: \: \: \: \: = 9 {x}^{10} \: yards \\ [/tex]
what is 1 third of 25 percent
Answer:
0.08333333333
Step-by-step explanation:
it’s solve system by elimination!!! plz help asap
Answer:
look at the picture shown
HELP PLEASE QUICK!!!
Answer
-6 -12
Step-by-step explanation:
. COUPONS Kendra used 35 cents more
in coupons at the store than Leanne.
Leanne used 75 cents less than Becca,
who used 50 cents more than Jaclyn.
Jaclyn used 40 cents in coupons. What
was the value of the coupons Kendra
used?
Answer:
Kendra used 50 cents
Step-by-step explanation:
Jaclyn used 40 cents. Becca used 50 more than Jaclyn (90). Leanna used 75 cents less than Becca (15). Kendra used 35 cents more than Becca (50).
J=40
B=90
L=15
K=50
Hope this helps! c:
Using the given information, the value of the coupons Kendra used IS 50 cents.
Substitution method: Multiple equations can be solved using the substitution method, where we substitute the value of one variable in different equations to calculate the value of other variables.
Let,
Cents used by Kendra in coupons= K
Cents used by Leanne in coupons= L
Cents used by Becca in coupons= B
Cents used by Jaclyn in coupons= J
Using the given information,
Kendra used 35 cents more in coupons at the store than Leanne,
K=L+35......................................................................................(1)
Leanne used 75 cents less than Becca,
L+75=B......................................................................................(2)
Becca used 50 cents more than Jaclyn,
B=J+50......................................................................................(3)
Jaclyn used 40 cents in coupons,
J=40
Substituting J=40 in (3),
B=90
Substituting B=90 in (2),
L=15
Substituting L=15 in (1),
K=50
Thus, Kendra used 50 cents in coupons.
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What is the additive inverse of 6x^2+x-2
Answer:
https://brainly.com/question/11963602
Step-by-step explanation:
Part B
Solve for w, b, and r using the proportions from part A. Show your work.
Answer:
w: 100w = 80 x 35 = 2800/100 = 28 strands in one pom pom
b: 100b = 80 x 25= 2000/100 = 20 strands in one pom pom
r: 100r = 40 x 80 = 3200/100 = 32 strands in one pom pom
Step-by-step explanation:
Answer:
Step-by-step explanation:
4/6 + 1/3 solve this plez
Yo sup??
[tex]4/6=2*2/2*3\\=2/3\\\\4/6+1/3\\=2/3+1/3\\=2+1/3\\=3/3\\=1\\[/tex]
Hope this helps
Solve for c.
3abc + b = 5
c =
c = 2 - ab
c = -
Answer:
c = [tex]\frac{5-b}{3ab}[/tex]
Step-by-step explanation:
Given
3abc + b = 5 ( isolate the term in c by subtracting b from both sides )
3abc = 5 - b ( divide both sides by 3ab )
c = [tex]\frac{5-b}{3ab}[/tex]
Answer: -b-5/3ab
Step-by-step explanation:
3abc + b = 5
3abc + b - b = 5 - b
3abc = 5 - b
3abc / 3ab = (5 - b) / 3ab
c = (5 - b) / 3ab
9 ten thousands scientific notation
Answer:
0.0009) is 9x10^-4
Step-by-step explanation:
nanci has a large fish tank that contains fish. The ratio of orange fish to black fish is 5:8. If nanci has a total of 20 orange fish, then how many black fish are inn the tank?
There are 32 black fish in the tank
Step-by-step explanation:
Nanci has a large fish tank that contains fish
The ratio of orange fish to black fish is 5 : 8Nanci has a total of 20 orange fishWe need to find how many black fish in the tank
∵ The ratio between the orange fish to the black fish is 5 : 8
∵ She has 20 orange fish
By using the ratio method
→ orange : black
→ 5 : 8
→ 20 : x
By using cross multiplication
∵ 5 × x = 20 × 8
∴ 5 x = 160
- Divide both sides by 5
∴ x = 32
∵ x represents the number of the black fish
∴ The number of the black fish is 32
There are 32 black fish in the tank
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HURRY !!!! Find the slope of the line represented in the table.
Answer:
The slope is up 5 over 1
Step-by-step explanation:
Rise over run Which is 5/1
To get the answer you need to follow the x axis and then the y axis or find a point and subtract with an another point on a graph
Or rise over run if u don’t want a graph
Chords NP and MQ intersect at point S in circle R.
If MS = 3, NS = 2, and SQ = 8, what is the length of SP?
Option C:
The length of SP is 12.
Solution:
In the given circle, NP and MQ are chords of the circle.
MS = 3, NS = 2, SQ = 8
To find the length of SP:
Segments of chords theorem:
If two chords intersects in the interior of a circle, then the product of the lengths of the segment of one chord is equal to the product of lengths of the segments of the other chord.
By this theorem,
NS × SP = MS × SQ
⇒ 2 × SP = 3 × 8
⇒ 2 SP = 24
Divide by 2 on both sides of the equation, we get
⇒ SP = 12
Option C is the correct answer.
The length of SP is 12.
Final answer:
Using the Intersecting Chord Theorem, we find that the length of SP is 3/4 by setting up the equation 3 * 2 = SP * 8 and solving for SP.
Explanation:
The student is asking about finding the length of a chord segment in a circle where two chords intersect. Since chords NP and MQ intersect at point S inside circle R, we can apply the Intersecting Chord Theorem.
This theorem states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. In formula terms, MS × NS = PS × SQ.
We are given MS = 3, NS = 2, and SQ = 8. To find the length of SP, we just substitute into the theorem's formula: (3) × (2) = SP × (8). From this, we calculate that SP = 3/4, which is the length of the segment SP.
What is 2432 divided by 102344
Answer:
42.0
Step-by-step explanation:
what is the perimeter of a football field 31 ft. by 20ft.?
Answer:102
Step-by-step explanation:you do 31+31=62 then 20+20=40 then 62+40=102
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3
3
cubed of melted purple liquid. The radius of the cone is 333 cm.
Question:
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?
Answer:
The height of the cone is [tex]9 \ cm[/tex]
Explanation:
It is given that the radius of the cone is [tex]3 \ cm[/tex]
The volume of the cone is [tex]27\pi[/tex]
The height of the cone can be determine using the formula,
[tex]$V=\frac{1}{3} \pi r^{2} h$[/tex]
Substituting the values [tex]V=27 \pi[/tex] and [tex]r=3[/tex], we get,
[tex]$27 \pi=\frac{1}{3} \pi(3)^{2} h$[/tex]
Multiplying both sides by 3, we have,
[tex]$81 \pi= 9\pi h$[/tex]
Dividing both sides by [tex]$9 \pi$[/tex], we have,
[tex]9=h[/tex]
Thus, the height of the cone is [tex]9 \ cm[/tex]
There are 142 laptops and desktop computers in a lab. There are 6 more laptops than desktops. What is the total number of laptops in the lab
Answer:
77 laptops and 65 desktops
Step-by-step explanation:
142/2=71
71+6=77
71-6+65
Answer:
74 Labtops
Step-by-step explanation:
you first have to subtract 6 from 142
142-6= 136
divide 136 by two.... for the labtops and the computers.
136 ÷ 2 = 68
68 is the number of desktops...to find the number of labtops you just need to add 6 again.
68 + 6 = 74 Labtops
To check your answer you can just add
74+68 and if it equals to what you started with then that's your answer
74 + 68 = 142
f(x) = -2x2 – 7x + 4
What’s the vertex?
Answer:
( - 7/4, 81/8 )
Step-by-step explanation:
Express the following in scientific notation 77.31 × 10^4
The number 77.31 x 10^4 in scientific notation is 7.731 x 10 ^ 5. To achieve this, the decimal place was moved to the left and the power of 10 increased accordingly.
Explanation:To express the number 77.31 x 10^4 in scientific notation, we need to adjust it to fit the format 'a x 10^n', where 1 ≤ |a| < 10 and n is an integer. So, the main step is to transfer the decimal place in '77.31' to after the first digit, followed by multiplying by an appropriate power of 10.
Firstly, rewrite 77.31 as 7.731 by moving the decimal place one place to the left. Now, since our original number was multiplied by 10^4, this needs to be amended by 1 place for the movement of the decimal point. This results in 10^5, since you are now multiplying by 10 one more time than before.
Combining these, the given number is represented in scientific notation as 7.731 x 10 ^ 5.
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Ivanka has a ribbon that is 4.5 inches long. Michal has a ribbon that is 3 1/10 times the length of ivanka’s ribbon. How long is michal’s ribbon? Express the answer to the nearest hundredth
Answer:
6.30
Step-by-step explanation:
Ivanka’s ribbon = 4.5 inches long
Michal’s ribbon is 3 1/2 times ivanka’s
Therefore,
Michal’s = 3 1/2 x 4.5
= 7/5 x 4.5
= 31.5/5
= 6.3 = 6.30 to the nearest hundredth
The mapping diagram shows a functional relationship. Complete the statements.
Answer:
f(4) =[tex]\frac{1}{2}[/tex]
x = 8
Step-by-step explanation:
f(4) =[tex]\frac{1}{2}[/tex] [ image of 4 is [tex]\frac{1}{2}[/tex]]
f(x) = 4
then x = 8 [ the preimage of 4 is 8]
Triangle KNM is isosceles, where angle N is the vertex.
Isosceles triangle K N M is shown. N L is a perpendicular bisector of angle K N M. Angle K N L is (5 x + 10) degrees and angle L N M is (6 x minus 1) degrees.
What is the measure of angle K?
11º
25º
50º
65º
Answer:
25°
Step-by-step explanation:
In isosceles triangle KNM, NL is a perpendicular bisector of angle KNM.
This means
[tex]m\angle KNL=m\angle LNM[/tex]
Since
[tex]m\angle KNL=(5x+10)^{\circ}\\ \\m\angle LNM=(6x-1)^{\circ},[/tex]
you have
[tex]5x+10=6x-1\\ \\5x-6x=-1-10\\ \\-x=-11\\ \\x=11[/tex]
No, find the measure of angles KNL and LNM:
[tex]m\angle KNL=(5\cdot 11+10)^{\circ}=65^{\circ}\\ \\m\angle LNM=(6\cdot 11-1)^{\circ}=65^{\circ}[/tex]
and the measure of angle KNM is
[tex]m\angle KNM=m\angle KNL+m\angle LNM=65^{\circ}+65^{\circ}=130^{\circ}[/tex]
Angles adjacent to the base of isosceles triangle are congruent. The sum of the measures of all interior angles is 180°, then
[tex]m\angle K=\dfrac{1}{2}(180^{\circ}-130^{\circ})=25^{\circ}[/tex]
Answer:
25 Degrees
Step-by-step explanation:
m x 12 = 12 x m
What property is this?
Answer:
[tex]It \: is \: called \: commutative \: property[/tex]
if the area of a square is 64 square centimeters, what's the length of you side?
PLEASE HELP!!!
Answer:
16
Step-by-step explanation:
64÷4=16
Answer:
the answer would be 8
Step-by-step explanation:
64 is the area squared so you need to find the square root of 64 because that would be the opposite.
4[z + 3(Z - 1)] = 36
How do you solve this problem?
Answer:
3
Step-by-step explanation:
4[z+3(z-1)]=36
z+3(z-1)=36/4
z+3z-3=9
4z-3=9
4z=9+3
4z=12
z=12/4
z=3
Answer:
4z+2(square)2z=2(square)6
Step-by-step explanation:
4((z+3(z-1)))=36
4(z^2-z+3((z-3)))=36
4(z^2-z+3z-3)=36
4((z^2+(-z+3z)-3))=36
4(z^2+2z-3)=36
4z^2+8z-12=36
4z^2+8z=24
((4(square)z^2))+(square)8z=(square)24
4z+2(square)2z=2(square)6