Ecologists measure the body length and wingspan of 127 butterfly specimens caught in a single field.
Answers
The wingspan of 127 butterfly specimens is an illustration of the line of best fit
The equation of the line of best fit is y = 3xThe slope means that as the wingspans increase and lengths of these butterflies increaseHow to determine the equation of the line?From the line of best fit of the graph (see attachment), we have the following points
(x,y) = (0,0) and (20,60)
Since the line passes through the origin, the equation of the line would be:
[tex]y = \frac{y_1}{x_1} * x[/tex]
So, we have:
[tex]y = \frac{60}{20} * x[/tex]
[tex]y = 3x[/tex]
Hence, the equation of the line of best fit is y = 3x
Interpret the slopeIn (a), we have the slope to be:
Slope = 3
The slope (3) is greater than 0.
This means that as the wingspans increase and lengths of these butterflies increase
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Related Questions
At the beginning of the summer, the water level of a pond is 2 feet below its normal level. After an unusually dry summer, the water level of the pond dropped another 1 1/3 feet. Write an equation to show how far above or below the normal water level the pond is at the end of the summer.
Answers
Answer:
x - ( 2 + 1 1/3)
=x- 3 1/3
- 3 1/3 feet
The water level of a pond falls 3 1/3 feet below its normal level.
Step-by-step explanation:
The water level of a pond is 2 feet below its normal level.
The water level of the pond dropped another 1 1/3 feet.
So the total level dropped is 2 + 1 1/3
= 2 + 4/3
= 6+4/3= 10/3 = 3 1/3 feet below the normal.
Suppose the normal is at zero then the level of the pond is at the end of the summer is 0 - 3 1/3 = - 3 1/3 feet.
If we represent the normal by x then the equation becomes
x- 3 1/3 feet to show the water level at the end of summer.
Or it can also be written as
x - ( 2 + 1 1/3)
A certain health insurance plan costs $3000 per year for a family of six. If each member of the family has $750 in medical expenses in a year, and the plan pays 100 percent of those expenses, how much will the family save by purchasing the plan?
Answers
Answer:$1,500
Step-by-step explanation:
6 * 750 = 4,500
4,500- 3,000= 1,500
What polynomial has quotient
x^2 + 6x − 2 when divided by x + 3?
Answers
Answer:
[tex]x^3+9x^2+16x-6[/tex]
Step-by-step explanation:
When you learned to divide numbers, you said that 10 divided by 2 has quotient 5 since 5 times 2 was 10.
Same difference, let's multiply the two polynomials:
[tex](x^2+6x-2)(x+3) = x^3+9x^2+16x-6[/tex].
that assuming that you want no remainder. If you care about the remainder, just change the constant term with anything you want. the distance from [tex]-6[/tex] will be your remainder.
An antique vase increases in value from
£770 to £890.
What is the percentage increase?
Answers
Answer:
16% or 15.5%
Step-by-step explanation:
so just do (890-770)/770
Matthew is given a $25 music gift card for his birthday. He downloads one song and the value of the card is $23.50. After two downloads, its value is $22. Write a formula to represent the remaining value on the card as an arithmetic sequence. What is the value of the card after 10 downloads? The value of the card after 10 downloads is
Answers
The formula to represent the remaining value of the card is aₙ = 26.5 - 1.5n
The value of the card after ten downloads is $10
Arithmetic formulaaₙ = a + (n - 1)d
where
a = first term
d = common difference
n = number of terms
Therefore,
a = 25
d = 23.5 - 25 = - 1.5
Therefore,
aₙ = 25 + (n - 1)(-1.5)
aₙ = 25 - 1.5n + 1.5
aₙ = 26.5 - 1.5n
After ten download the value of the card will be as follows,
26.5 - 1.5(11) = 26.5 - 16.5 = $10
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PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
See below.
Step-by-step explanation:
There are four ticks between each term, meaning that any point in between would be represented in fourths.
B is located at the first tick between 2 and 3, so the fraction is 2 1/4.
-hope it helps
Answer:
The correct answer is 2 1/4
Step-by-step explanation:
There are 4 dashes in the number line from 2 to 3 so the fraction has to be /4
It is 1/4 because B is on the first dash after 2
2 lines intersect. Lines D E and A B intersect at point C.
Angle ACD is supplementary to angles ACE and BCD and congruent to angle BCE.
Which statements are true about the angles in the diagram? Select three options.
Angle ACE is supplementary to angle BCD.
Angle BCE is supplementary to angle ACE.
Angle BCD is supplementary to angle BCE.
Angle ACE is congruent to angle BCE.
Angle BCD is congruent to angle ACE.
Answers
Answer:
The answer is B, C, and E
Step-by-step explanation:
I did this
Answer:
b,c, and e on edge
Step-by-step explanation:
nth term of 1,2,4,8,16,32,64,...
Answers
Answer:
2^(n-1)
Step-by-step explanation:
To find the nth term of the sequence 1, 2, 4, 8, 16, 32, 64,..., we can observe that each term is obtained by multiplying the previous term by 2. Therefore, the pattern can be described by the formula:
nth term = 2^(n-1)
In this formula, n represents the position of the term in the sequence.
For example: I
If we want to find the 5th term, we substitute n = 5 into the formula:
5th term = 2^(5-1) = 2^4 = 16
So, the 5th term of the sequence is 16.
In a National Achievement Test, Joshua obtained a score of 88. In the standardization of the test, μ = 78 and σ = 10. How would you communicate Joshua’s score to his parents? Explain your answer in writing
Answers
Using the normal distribution, Joshua's score is communicated as being in the 84th percentile.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 78, \sigma = 10[/tex].
He scored 88, hence X = 88 and his z-score is of:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{88 - 78}{10}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
Hence, Joshua's score is communicated as being in the 84th percentile.
More can be learned about the normal distribution at https://brainly.com/question/24663213
in circle C, QP and QR are tangent segments and m<PCR=120° What is m<PQR
Answers
C = ~157.08 m
i think its this not sure
Dan invests £13000 into his bank account. He receives 2.3% per year simple interest. How much will Dan have after 4 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
33
Step-by-step explanation:
What is the quotient of StartFraction 2 Superscript 4 Baseline Over 2 Superscript negative 4 Baseline EndFraction? StartFraction 1 Over 256 EndFraction One-half 1 256.
Answers
Answer:
256
Step-by-step explanation:
The quotient of the given expression will be 256.
What will be the quotient?From the given data
[tex]=\dfrac{2^{4} }{2^{-4} }[/tex]
Now it will become
[tex]2^{4} \times 2^{4} = 2^{8} =256[/tex]
Thus the quotient of the given expression will be 256
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please helpp its extra credit so its not urgent but would be apreciated if you helped!
Answers
Answer:
11
Step-by-step explanation:
Find the measurement of the missing angles.
Answers
Answer:
Answers to 1 and 5:
Q1 Angle 1: 129 degrees
Q1 Angle 2:116 degrees
Q5 Angle 1: 143 degrees
Q5 Angle 1: 78 degrees
Step-by-step explanation:
I cannot solve all of these, however I can still solve some of them. We know that one side of a straight line is 180 degrees.
Question 1:
If the angle that is next to angle 1 is 51 degrees, then we simply do: 180-51. The result will be 129 degrees.
The angle next to angle 2 is 64. 180-64= 116 degrees.
Question 5:
The angle next to angle 1 is 37. 180-37= 143 degrees.
The angle next to angle 2 is 102. 180-102=78 degrees.
Note: I am really sorry that I wasn't able to answer all the questions. If I got any of these answers wrong, please write it in the comments and I will try to edit my answer.
Is there anybody who can help me with this question?please
Answers
Answer:
the people would save 12 meters
Step-by-step explanation:
If it is a right triangle that has 45,45,90 angles, Than two side lengths would be the same, so there are two 30 meter side lengths. The path is 48 meters long, and the road would be 60 meters long (30+30), so you subtract 48 from 60, and get 12. You would save 12 meters
The Morningside Soccer Team has uniforms on sale for $21.99. There are 22 soccer players on Louis’s team, including Louis. Every player on the team buys a uniform. How much did they pay in all?
$439.80 [A]
$460.68 [B]
$483.78 [C]
$505.77 [D] . Please choose the following.
Answers
Answer: $483.78
Step-by-step explanation:
solve the equation 3/x-4=1/5
Answers
Answer:
The very first thing we want to do in this equation is to isolate x on one side (preferably the left side).
3/x - 4 = 1/5
We get rid of any constants first, by performing the inverse property;
The inverse property of subtraction is addition, so we add 4 to both sides:
+4 +4
3/x = 4 1/5
3 is being divided by x, so the inverse operation of division is multiplication. So we multiply by 1/3 on both sides.
x1/3 x1/3
X = 1 4/10 which simplifies to 1 2/5.
Given that x = 7.3 m and θ = 40°, work out AB rounded to 3 SF.
Answers
Answer:
AB ≈ 4.69
Step-by-step explanation:
using the sine ratio in the right triangle
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{AB}{x}[/tex] , then
sin40° = [tex]\frac{AB}{7.3}[/tex] ( multiply both sides by 7.3 )
7.3 × sin40° = AB , then
AB ≈ 4.69 ( to 3 sf )
can I get an explanation for what to do here??
Answers
Answer:
This is the in and out box where you can plug in the numbers in the x box into the above equations.
y = 7(6) - 3
y = 39
y = 7(5) - 3
y = 32
y = 7(-9) - 3
y = -66
y = 7(1) - 3
y = 4
y = 7(2) - 3
y = 11
write the fractions in order from least to greatest. A) -3 3 4 , -3 3 5 , -3 13 20 , -3 17 25 B) -3 3 5 , -3 17 25 , -3 13 20 , -3 3 4 C) -3 3 5 , -3 13 20 , -3 17 25 , -3 3 4 D) -3 3 4 , -3 17 25 , -3 13 20 , -3 3 5
plz help me
Answers
Answer:
Can you put slashes (/) in between because it’s hard for me to see what the fractions are
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression below.
(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2)
Which is the simplified product?
2x3 + 6x2 – x – 6
2x3 + x2 – x – 6
2x3 + 5x2 – x – 6
2x3 – x2 – 7x – 6
Answers
Answer:
its C i think :/
Step-by-step explanation:
The simplified product is 2x³ + 5x² - x - 6.
Option C is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(2x + 3) (x² + x - 2)
(2x)(x²) + (2x)(x) + (2x)(–2) + (3)(x²) + (3)(x) + (3)(–2)
2x³ + 2x² - 4x + 3x² + 3x - 6
2x³ + 5x² - x - 6
Thus,
The final expression is 2x³ + 5x² - x - 6.
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plz help asap 14 points
Latoya created a factor tree and wrote the prime factorization of 90 shown below.
A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5.
What is Latoya’s error?
She should not have found the factors of 9.
She should have included an exponent of 2 on the 3.
She should have included 9 and 10 in the prime factorization.
She should have started the tree with 2 times 45.
Answers
Answer:
B
Step-by-step explanation:
Latoya created a factor tree and wrote the prime factorization of 90 shown below.
A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5.
What is Latoya’s error?
She should not have found the factors of 9.
She should have included an exponent of 2 on the 3.
She should have included 9 and 10 in the prime factorization.
She should have started the tree with 2 times 45.
Hope this helps!!!!!!
Answer:
B
Step-by-step explanation: make it brainleist plz
you play a game on your phone. For every correct move you make, you receive 40 points. For every second that it takes you to complete you loss 4 points. It takes you 1 minute and 33 second. how many points do you have?
Answers
Help me plz ...............
Answers
Answer:
B. - ( -3, -2 )
Step-by-step explanation:
What is the value of the rational expression when x = 5?
Answers
The value of the rational function f(x) (x³ + 3x)/(x + 10) on putting the value of x of 5 is 9.3333.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The function f is given below.
[tex]f(x ) = \dfrac{x^3 + 3x }{x+ 10}[/tex]
Then the value of f(x) at x = 5 will be given as
[tex]\rm f(x ) = \dfrac{5^3 + 3*5 }{5+ 10}\\\\\\f(x ) = \dfrac{125 + 15}{15}\\\\\\f(x ) = \dfrac{140}{15}\\\\\\f(x) = 9.333[/tex]
More about the function link is given below.
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Answer:11/25
Step by step: Edge 2023
Suppose that 17 inches of wire costs 51 cents. At the same rate, how much (in cents) will 54 inches of wire cost?
Answers
Answer:
162
Step-by-step explanation:
First you need to find the unit rate
51/17=3
After you found the unit rate which is 3, you multiply that by 54
54x3=162
Hope this helped!!
What is y+4=-1/2(x-2) written in slope intercept form
Answers
Answer:
y=1/2x-5
Thia is slope-intercept form
y=mx+b
Does anyone know how to do this
Answers
Answer:
No
Step-by-step explanation:
These two triangles cannot be proven similar as there is only 1 angle which is shared between the two, that being: HMG=JMK since they are vertically opposite angles.
To prove 2 triangles are similar we need at least 2 equal angles.
+ Note that no equal sides are shared by the triangles.
14x7= ?
Base ten block
Answers
Answer:98
Step-by-step explanation:
Answer:
14x7= 98
Step-by-step explanation:
for multiplication, think about if there are 9, 10 base blocks and 8, 1 base block
The graph shows the number of items sold by category at a yard sale.
Items Sold
28
24
Frequency
20-
16
12
8
4
0
Toys
Books
Décor
Clothing Electronics
Categories
What was the total number of items sold at the yard sale?
A. 60
B. 62
O c. 64
D. 66