Ecologists measure the body length and wingspan of 127 butterfly specimens caught in a single field.

Answer:

y=1/2x-5

Thia is slope-intercept form

y=mx+b

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.

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:

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

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 )

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

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:

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.

Answer:

162

Step-by-step explanation:

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)

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.

Answer:

11

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

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

aₙ = 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

learn more on arithmetic sequence here: https://brainly.com/question/768453

The value of the rational function f(x) (x³ + 3x)/(x + 10) on putting the value of x of 5 is 9.3333.

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.

https://brainly.com/question/5245372

Answer:11/25

Step by step: Edge 2023

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

Answer:

16% or 15.5%

Step-by-step explanation:

so just do (890-770)/770

Answer:

B. - ( -3, -2 )

Step-by-step explanation:

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.

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

Answer: $483.78

Step-by-step explanation:

Answer:

its C i think :/

Step-by-step explanation:

The simplified product is 2x³ + 5x² - x - 6.

Option C is the correct answer.

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.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

C = ~157.08 m

i think its this not sure

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.

Using the normal distribution, Joshua's score is communicated as being in the 84th percentile.

In 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]

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

Answer:

256

Step-by-step explanation:

The quotient of the given expression will be 256.

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

To know more about Start and End fraction follow

https://brainly.com/question/1697242

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

Answer:$1,500

Step-by-step explanation:

6 * 750 = 4,500

4,500- 3,000= 1,500