Given x∥y and m∠3=124° .

What is 0.55 in a decimal as a fraction in simplest form ?

anzhelika [568]

0.55 is equal to 55/100, and by dividing the numerator and denominator by 5, we get 11/20. Hope this helps!

8 0

3 years ago

MATH PLEASE HELP

Rom4ik [11]

Answer:

y=6x+8 I think I'm not shure about that.

8 0

3 years ago

A biologist is studying the growth of a particular species of algae. She writes the fall inclusion to show the radius of the alg

horrorfan [7]

Answer:

Part A)

A reasonable domain to plot the growth function is:

$0\leq d \leq 12$

Part B)

The y-intercept represents that when the biologist started her study, the radius of the algae was five millimeters.

Part C)

The average rate of change from d = 4 to d = 11 was about 0.11. This means that from the 4th day to the 11th, the radius of the algae grew, on average, at a rate of 0.11 mm per day.

Step-by-step explanation:

The radius of the algae f(d) in millimeters after d days is given by the function:

$f(d)=5(1.02)^d$

Part A)

We know that the radius of the algae was approximately 6.34 mm when the biologist concluded her study. To find the reasonable domain, we can substitute 6.34 for f(d) and solve for d. Therefore:

$6.34=5(1.02)^d$

Divide both sides by five:

$(1.02)^d=1.268$

Take the log of both sides with base 1.02:

$\displaystyle d=\log_{1.02}1.268$

Using the Change of Base Property, evaluate for d:

$\displaystyle d=\frac{\log 1.268}{\log 1.02}=11.9903...\approx 12$

So, the biologist concluded her study after 12 days.

Therefore, a reasonable domain to plot the growth function is:

$0\leq d\leq 12$

Part 2)

The y-intercept of the function is when d = 0. Find the y-intercept:

$f(0)=5(1.02)^{(0)}=5(1)=5$

Since d represent the amount of days after the study had begun, the y-intercept represents the radius of the algae on the initial day.

So, when the biologist started her study, the radius of the algae was five millimeters.

Part 3)

To find the average rate of change for a nonlinear function, we find the slope between the two endpoints on the interval.

We want to find the average rate of change of f(d) from d = 4 to d = 11.

Find the endpoints:

$f(4)=5.4121...\text{ and } f(11)=6.2168...$

And find the slope between them:

$\displaystyle m=\frac{f(11)-f(4)}{11-4}=0.1149...\approx 0.11$

Since f(d) measures millimeters and d measures days, this tells us that, on average, the radius of the algae grew by about 0.11 mm per day from the 4th day to the 11th day.

5 0

2 years ago

Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the

djverab [1.8K]

Answer:

18 times StartFraction 2 Over 9 EndFraction = 4

Amount of almonds = 18 × [2/9]

Amount of almonds = 4 almonds

Step-by-step explanation:

Given:

Number of mixed nuts = 18

Probability of almonds = 2/9

Find:

Amount of almonds

Computation:

Amount of almonds = Number of mixed nuts × Probability of almonds

Amount of almonds = 18 × [2/9]

Amount of almonds = 36 / 4

Amount of almonds = 4 almonds

6 0

2 years ago

Read 2 more answers

I need help with geometry

GREYUIT [131]

9514 1404 393

Answer:

A

Step-by-step explanation:

Attached is a copy of the figure with some of the clutter removed. The congruent angles marked with a single arc, and the parallel lines are given.

The angles marked with a double arc are congruent because they are alternate interior angles where transversal XZ crosses parallel lines XW and YZ. Of course, side XZ is congruent to itself.

Hence we have two angles and a side not between them that are congruent. We can declare ∆XWZ ≅ ∆ZYX by the AAS postulate. (choice A)

6 0

3 years ago