Answer:
A = 5.5t + 9
Step-by-step explanation:
We assume that the relationship between t and A is linear.
We have two points on a line: (2, 20) and (4, 31).
We now find the equation of the line.
A = mt + b
m = (31 - 20)/(4 - 2) = 11/2 = 5.5
20 = 5.5(2) + b
20 = 11 + b
b = 9
A = 5.5t + 9
Charlie subtracts two polynomials, 5x^2 – 9x^2, and says that the difference proves that polynomials are not closed under subtraction.Kate argues that the difference does in fact show that polynomials are closed under subtraction. Who is correct? Type only 'Charlie' orKate' as your answer in the box.
Charlie
Here, we want to check if polynomials is closed under subtraction or not
To check this, we proceed either ways, if the answer is same, then it is closed. If otherwise, then it is not
We have;
\(\begin{gathered} 5x^2-9x^2=-4x^2 \\ \\ \text{And;} \\ \\ 9x^2-5x^2=4x^2 \end{gathered}\)As we can see, both results are not equal
If subtraction was closed under polynomials, then the results of both should have been equal. This means Charlie is correct.
Please help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
what is a polygon with all sides and angles congruent
A regular polygon is a polygon with all sides and angles congruent. It exhibits symmetry and uniformity in its sides and angles, creating a visually appealing shape.
A polygon with all sides and angles congruent is called a regular polygon. In a regular polygon, all sides have the same length, and all angles have the same measure. This uniformity in the lengths and angles of the polygon's sides and angles gives it a symmetrical and balanced appearance.
Regular polygons are named based on the number of sides they have. Some common examples include the equilateral triangle (3 sides), square (4 sides), pentagon (5 sides), hexagon (6 sides), and so on. The names of regular polygons are derived from Greek or Latin numerical prefixes.
In a regular polygon, each interior angle has the same measure, which can be calculated using the formula:
Interior angle measure = (n-2) * 180 / n
Where n represents the number of sides of the polygon.
The sum of the interior angles of any polygon is given by the formula:
Sum of interior angles = (n-2) * 180 degrees
Regular polygons have several interesting properties. For instance, the
exterior angles of a regular polygon sum up to 360 degrees, and the measure of each exterior angle can be calculated by dividing 360 degrees by the number of sides.
Regular polygons often possess symmetrical properties and are aesthetically pleasing. They are commonly used in design, architecture, and various mathematical applications.
Learn more about polygon here:
https://brainly.com/question/17756657
#SPJ11
16.8 divided by -3.5
Answer:
-4.8
hope you succeed :]
Step-by-step explanation:
10. A gardener wants to pour a sidewalk around the outside of his 20- by 30-meter garden. The sidewalk will be
1 meter wide. How many square meters of sidewalk will he have?
30 m
20 m
(Hint: Subtract the area of the garden from the total area covered by
both the garden and the sidewalk. A = A, - A)
1m2!
w1m
Answer:
https://learning-ph.com/math/question7489744
pls check this site
Step-by-step explanation:
Answer:
104 m²
Step-by-step explanation:
There is a 1 m sidewalk around the garden
Then length = 30 + 1 + 1 = 32 m
and width = 20 + 1 + 1 = 22 m
Area = 32 × 22 = 704 m²
Area of garden = 30 × 20 = 600 m²
Area of sidewalk = 704 - 600 = 104 m²
Evaluate 634.7÷26.94
Step-by-step explanation:
23.5597 hope this helpsss
80 divided by 192.0!!!!!!!!!!!!!!!
Answer: .416666667
Step-by-step explanation: Take 80 and divide it by 192.0= .416666667
1) Which of these is a two-step equation?
A) x +9=21
B) x = 11
C) 2x + 9 = 21
A two-step equation is an equation which needs two steps to solve.
In this case, answer choice "C" is a two-step equation.
2x + 9 = 21. Subtract 9 from both sides
2x = 12. Divide both sides by 2.
x = 6.
Answer choice "B" just gives us the answer.
Answer choice "A" needs only one step to solve the equation.
x + 9 = 21. Subtract 9 from both sides.
x = 12.
The equation with two-step solution is x +9=21.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
A) x+ 9 = 21
Subtract 9 from both side we get
x +9 -9 = 21 -9
x = 12
B) x = 11
C) 2x + 9 = 21
Subtract 9 from both side we get
2x = 12
Divide both side by 2
x = 6.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
Ganesh purchased a book worth Rs. 156. 65 from a bookseller and he gave him Rs. 500 note. How much balance did he get back?
Ganesh received Rs. 343.35 in change or balance because he provided a Rs. 500 note to the bookseller.
Ganesh purchased a book worth Rs. 156.65 from a bookseller and gave him a Rs. 500 note.
Ganesh gave the bookseller a Rs. 500 note, which was Rs. 500. The bookseller's payment to Ganesh is determined by the difference between the amount Ganesh paid for the book and the amount of money the bookseller received from Ganesh, which is the balance.
As a result, the balance received by Ganesh is calculated as follows:
Rs. 500 - Rs. 156.65 = Rs. 343.35
Ganesh received Rs. 343.35 in change or balance because he provided a Rs. 500 note to the bookseller.
Hence, the answer to the given question is Rs. 343.35.
To know more about balance visit:
https://brainly.com/question/27154367
#SPJ11
A car travels the 200 miles along the M1 from London to Leeds. The car leaves London at 8am and travels at a constant speed of 60mph for the first 60 miles. The driver takes a break of 30mins at a motorway services before continuing the journey at a constant speed of 70mph a) Draw a distance-time graph of the journey
Answer:
The distance-time graph of the journey would be as follows:
From 8am to 8:01am, the car travels 0 miles (at 8am, it leaves London)
From 8:01am to 9:01am, the car travels 60 miles (at a constant speed of 60mph)
From 9:01am to 9:31am, the car travels 0 miles (the driver takes a break of 30mins)
From 9:31am to 12:51pm, the car travels 140 miles (at a constant speed of 70mph)
The graph would be a line with a slope of 60 for the first hour, a flat line for the 30 minutes break, and then a line with a slope of 70 for 2 hours and 20 minutes.
Note: Since we don't have a time-scale and time unit, this graph is just a representation of the pattern of the journey, and the actual values are not accurate.
First one to answer, i will mark brainlist
Answer:
WX < YW < XY
Step-by-step explanation:
Angle sum propertySum of all angles of triangle = 180
114 + 53 + ∠y = 180
167 + ∠Y = 180
∠Y = 180 - 167
∠Y = 13
The side opposite to smallest angle is shortest.
Angles in ascending order: ∠Y < ∠X < ∠W
Sides in ascending order: WX < YW < XY
In which number does the digit 6 have that is 10 times as great as the value of the digit 6 in 283,691
Answer:
486,732 hope this helps
The largest circular storm in our solar system is on the surface of which of the following planets? *
1 point
A. Jupiter
B. Venus
C. Uranus
D. Earth
Find the unknown angles A and B, in
this parallelogram
Answer:
A=115 and B = 65
Step-by-step explanation:
You know this because of the alternate angles are congruent in a parallelogram
right triangle ABC is similar to right triangle XYZ. the value of cos B = 5/13. What is the value of sin Y?
Answer:
4
Step-by-step explanation:
Need help to break this down pleasd
Answer:
The height of the window is 150 centimeters.
Step-by-step explanation:
Use ratio and proportion to find the height of the window.
\(\frac{h}{60cm} = \frac{210cm}{84cm}\)
Cross multiply
\(h = \frac{210cm(60cm)}{84cm} \\h = \frac{12600cm^2}{84cm} \\h = 150 cm\)
PLS FIND THE VALUE OF Y AND X THANKSSSS <3
Answer:
x = 1.5
y = 8
3/4 = 1.2/2
3/4 = 6/8
consider two discrete random variables x and y with v(x)=36, v(y)=25, and the correlation rho=0.64. find sd(x-y). (round your answer to 2 places after the decimal point).
The standard deviation of (X - Y) is 5.39 rounded to two decimal places.
Given the variance of the random variables X and Y, v(X) = 36, v(Y) = 25, and the correlation coefficient ρ = 0.64 and we have to find sd(X - Y).
We know that variance can be written as
V(X) = E(X²) - [E(X)]²σ(X)
= √[V(X)]V(Y)
= E(Y²) - [E(Y)]²σ(Y)
= √[V(Y)]
Covariance of two random variables X and Y can be written as
Cov(X, Y) = E(XY) - E(X)E(Y)
Cov(X, Y) = ρσ(X)σ(Y)σ(X - Y)²
= V(X) + V(Y) - 2Cov(X, Y)σ(X - Y)²
= 36 + 25 - 2 × (0.64 × √(36) × √(25))σ(X - Y)
= √(36 + 25 - 32)σ(X - Y)
= √29σ(X - Y)
= 5.39 [rounded to 2 decimal places]
Therefore, the standard deviation of (X - Y) is 5.39.
Let us know more about correlation coefficent : https://brainly.com/question/29978658.
#SPJ11
If there are exactly 2.54 centimeters in 1 inch, how many inches are in 1 centimeter
Round to two decimal places.
===============================
Work Shown:
2.54 cm = 1 inch
2.54/2.54 cm = 1/2.54 inch ...... divide both sides by 2.54
1 cm = 0.39370078740158 inches
1 cm = 0.39 inches
A polygon has vertices at (-5, 3), (-1, 3), (1, 0), and (-3, 0). Which represents a geometric translation of the given
polygon 4 units to the right and 5 units down?
O
-5 3-1 3
10 -3
0
O
-5 -1 1
3 300
-5 -1
53
-5 -1
양 요
330
31-3
1
3
-3
+
300
4 4
-5 -5
+
+
v
ㅎ
55
A
-5 -5
4
T. Y
+
ú
3
-5 -5 -5
Answer: its c
Step-by-step explanation:
took the quiz
Answer:
Step-by-step explanation:
its C I got yall
A valid argument form is one in which, when you uniformly substitute for the variables, the result is
Answer:
True
Step-by-step explanation:
This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.
Ratios
Mrs. Gildner took a survey of the 30 students in her math class. Of the 30 students surveyed, 18 of them said that chocolate is their favorite ice cream flavor. 4 students listed vanilla as their favorite flavor. The remaining students indicated that strawberry is their favorite kind of ice cream.
What is the ratio of chocolate to strawberry? SIMPLIFY if possible!
Answer: 9:4
Step-by-step explanation: Total is 30. Add 18 and 4 to see how many students were already surveyed, (22) and then subtract that from 30. Then you get 8, so the ratio is 18:8. Then simplify by dividing both numbers by 2, so you get 9:4. Hope that helps :)
what the x coordinate?
Answer:
x=-2
Step-by-step explanation:
If the question is asking for the intersection point, the answer is x=-2 or (-2,1) depending on if the teacher is asking for the intersection or value of x where it itersects
If the question is asking what the equation of the parabola is I would guess it is (x+1/2)^2 -4
I say go with x=-2 though
Khadija answered 174 questions correctly on her multiple choice science final and earned a grade of 87%. How many total questions were on the final exam
The total number of questions is an illustration of proportions
The total number of questions is 200
How to determine the total questions?From the question, we have:
Grade = 87%
Questions answered = 174
Represent the total questions with x.
So, the total question is calculated as:
174 = 87% * x
Make x the subject
x = 174/87%
Evaluate the quotient
x = 200
Hence, the total number of questions is 200
Read more about proportions at:
https://brainly.com/question/24461724
Which of the following is not a career in environmental science? a. Hydrologist b. Toxicologist c. Physiologist d. Ecologist Please select the best answer from the choices provided
Answer:
C
Step-by-step explanation:
No doubt thats the correct answer guys, thank me later
The accompanying graph shows the high temperatures in Elmira, New York, for a 5-day period in January.
Which statement describes the data?
A
median = mode
B.
median = mean
C
mean < mode
D
mean = mode
B, median = mean. The explanation is that the graph shows a fairly symmetrical distribution of temperatures, with the highest point (mode) being around 35 degrees and the middle point (median) also being around 35 degrees.
Therefore, the median and mean would be approximately the same. The conclusion is that the temperatures in Elmira, New York, were relatively consistent during this 5-day period in January.
first need to determine the mean, median, and mode of the high temperatures for the 5-day period. Unfortunately, the graph you mentioned is not available for me to see. However, I can help you analyze the data once you provide the high temperatures for each of the 5 days.
To know more about median visit:
https://brainly.com/question/11237736
#SPJ11
Help please! Will pick the Brainliest! File Attached....
Answer: x=12y/-8-3
Step-by-step explanation: image below
Please help.................................................................................................
Answer:
Step-by-step explanation:
L = 3*w + 1 Given
P = 2*(L + w) Formula for Perimeter. Substitute for L
P = 2*(3w + 1 + w) Combine
P = 2*(4w + 1)
P = 58 Given
58 = 8w + 2 Remove the brackets
58 - 2 = 8w Subtract 2
56 = 8*w Divide by 8
56/8 = w
7 = w
================
Find L
L = 3*w + 1
L = 3*7 + 1
L = 22
================
Check
2L + 2W = 58
2*22 + 2*7 =? 58
44 + 14 = ? 58
58 = 58
The answer checks.
please help 20 points and brainlyist
a) 1. The backpack weight sample mean is 6.375 pounds.
a) 2. The backpack weight sample mean is 6.375 pounds.
a) 3. The backpack weight sample mean is 6.625 pounds.
b) The range of the sample means is between 6.375 and 6.625, which approaches 0.250 pounds, plus or minus.
c) Since the students are using the sample means to estimate the mean backpack weight of their schoolmates, the true statements are A. and D.
The farther the range of the sample means is from O, the less confident they can be in their estimate.
What is a sample mean?A sample mean is a statistic computed from a sample of data or variables.
The sample mean represents the average value of the sample data.
What is a range in statistics?The range describes the difference between the largest number and the smallest number.
Thus, based on the range of the sample means, the farther it is from 0, the less confident the students can be in their estimate.
Learn more about sample means and ranges at https://brainly.com/question/15283613
#SPJ1
A farmer wants to estimate the number of rabbits on his farm.
On Monday he catches 120 rabbits.
He puts a tag on each rabbit.
He then lets the rabbits run away.
On Tuesday the farmer catches 70 rabbits.
15 of these rabbits have a tag on them.
Work out an estimate for the total number of rabbits on the farm.
You must write down any assumptions you have made.
(4marks)
Hello can someone help me with this question my assumption is : the population has not changed- no member have joined or left the population , there are no deaths or births.
Answer:
There is a possibility of births and deaths. This also, informs us of a larger population.
Step-by-step explanation:
This is because there are 333% more rabbits without a tag than with one. This giving us the possibility shown above!
Mark as brainliest
Answer: 560 total rabbits
Step-by-step explanation:
Your assumptions are great but you can also add the assumption that the ratio of the rabbits caught on Monday is the same ratio of the rabbits caught on Tuesday.
\(\text{Tuesday:}\quad \dfrac{15\ tags}{70\ rabbits}=\dfrac{3\ tags}{14\ rabbits}\ \leftarrow simplified\)
Assumption:
3/14 of the total rabbits on the farm = 120 tagged on Monday
Let r represent the total rabbits on the farm
then (3/14)r = 120
r = 120(14/3)
r = 560