**Answer:**

**9x + 1**

**Step-by-step explanation:**

Combine like terms. Like terms are terms with the same amount of the same variables.

Add 5x and 4x:

5x + 4x + 1

(5x + 4x) + 1

9x + 1

**9x + 1** is your answer.

~

An element with mass 800 grams decays by 8.2% per day. How much of the element is remaining after 15 days,

to the nearest 10th of a gram?

**Given:**

The initial mass of an element is 800 grams.

Decay rate = 8.2% per day

Number of days = 15

**To find:**

The remaining element after 15 days.

**Solution:**

The exponential decay model is

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value r is the rate of interest and t is time period.

Putting [tex]a=800,r=0.082,t=15[/tex] in the above formula, we get

[tex]y=800(1-0.082)^{15}[/tex]

[tex]y=800(0.918)^{15}[/tex]

[tex]y=221.68188[/tex]

[tex]y\approx 221.7[/tex]

**Therefore, the mass of the remaining element is 221.7 grams.**

the initial deposit into an account?

a. compound interest

b. simple interest

c. interest rate

d. principal

**Answer:**

B

**Step-by-step explanation:**

Simple interest is based on the principal amount of a loan or deposit.

Sully is having a party and wants to fill his swimming pool. If he only uses his hose, it takes 3 hours more than if he only uses his neighbor's hose. If he uses both hoses together, the pool fills in 5 hours. How long does it take for each hose to fill the pool (in hr)?

**Answer:**

It takes the neighor's hose 3 hours to fill the pool and it takes Sully's hose 6 hours to fill the pool if each filled alone.

**Step-by-step explanation:**

This is a work problem, and the way these are done is to figure the amount that each can do based on how much can get done in a single hour.

First thing, in order to have only one variable, we have to put one hose in terms of the other hose.

We know that it takes the neighbor's hose a certain amount of time (there's our unknown) to fill the pool and that it takes Sully's hose that same time plus 3 hours.

neighbor's hose can get the job done in x time

Sully's hose can get the job done in x + 3 time

Now we will figure out how much each can do in a single hour.

If the neighbor's hose takes x hours to fill the pool, then it can get

of the pool filled in 1 hour.

If Sully's hose takes x + 3 hours to fill the pool, then it can get

of the pool filled in 1 hour.

The sum of these takes 2 hours total and 1/2 of the pool gets filled in 1 hour.

Our equation then is:

This equation states in words:

"the amount of the pool that the neighbor's hose can fill in an hour plus the amount of the pool that Sully's hose can fill in an hour will fill half the pool".

Solving for x will give us that time.

Begin to solve this by finding the LCM of those denominators and getting rid of the fractions by reducing. The LCM will be 2x(x + 3). Multiplying each term by that LCD looks like this:

In the first term the x's cancel out, in the second term the (x + 3) cancels out, and in the last term the 2's cancel out leaving us with:

and simplifying gives us:

This is a quadratic that will have to be factored to solve for those values of x. Combine like terms and get everything on one side to get:

Factor this however you find easiest to get the values:

x = 3 hours and x = -2 hours

We all know that the 2 things in math that will never EVER be negative are times and distances/measures, so we can disregard the -2 and say that

x = 3 hours.

To answer our question, then;

It takes the neighbor's hose 3 hours to fill the pool; it takes Sully's hose 3+3 hours = 6 hours to fill the pool.

2b + 8 =? I don't know this one either

2(b+4)

Hope this helped

Hope this helped

A certain brand of candies have a mean weight of 0.8616g and a standard deviation of 0.0518 based on the sample of a package containing 447 candies. The package label stated that the net weight is 381.8g If every package has 447 candies the mean weight of the candies must exceed 381.8/447=0.8542 for the net contents to weight at least 381.8g.

a) If 1 candy is reandomly selected, find the probability that it weights more than 0.8542g.

The probability is ________.

(round to four decimal places as needed)

b) If 447 candies are reandomly selected find the probability that their mean weight is at least 0.8542 g.

the probability that a sample of 447 candies will have a mean of 0.8542g or greater is __________.

(round to four decimal places as needed)

c) Given these results does it seem that the candy company is providing consumers with the amount claimed on the label?

**Answer:**

**a) **The probability is 0.5557 = 55.57%.

**b) **The probability that a sample of 447 candies will have a mean of 0.8542g or greater is 0.9987 = 99.87%.

**c) **Yes, because there is a very large probability, of 99.87%, that the amount will be at least the one claimed on the label.

**Step-by-step explanation:**

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

**Normal Probability Distribution:**

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

**Central Limit Theorem**

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

**Mean weight of 0.8616g and a standard deviation of 0.0518**

This means that [tex]\mu = 0.8616, \sigma = 0.0518[/tex]

**a) If 1 candy is reandomly selected, find the probability that it weights more than 0.8542g. **

This is 1 subtracted by the pvalue of Z when X = 0.8542. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.8542 - 0.8616}{0.0518}[/tex]

[tex]Z = -0.14[/tex]

[tex]Z = -0.14[/tex] has a pvalue of 0.4443

1 - 0.4443 = 0.5557

The probability is 0.5557 = 55.57%.

**b) If 447 candies are reandomly selected find the probability that their mean weight is at least 0.8542 g.**

Sample of 447 means that [tex]n = 447, s = \frac{0.0518}{\sqrt{447}} = 0.00245[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.8542 - 0.8616}{0.0245}[/tex]

[tex]Z = -3.02[/tex]

[tex]Z = -3.02[/tex] has a pvalue of 0.0013

1 - 0.0013 = 0.9987

The probability that a sample of 447 candies will have a mean of 0.8542g or greater is 0.9987 = 99.87%.

**c) Given these results does it seem that the candy company is providing consumers with the amount claimed on the label?**

Yes, because there is a very large probability, of 99.87%, that the amount will be at least the one claimed on the label.

The radius of a chord and a tangent line are_ at the point of tangency

**Answer:**

fine

cause of it's fine point of tangency

The angle between the lines xy=0 is

(a) 00

(b) 60°

(c) 90°

(d) 120°

**Answer:**

(c) 90°

**Step-by-step explanation:**

**Given**

[tex]xy = 0[/tex]

**Required**

The angle between the line

First, solve for x and y

[tex]xy = 0[/tex]

[tex]x = 0[/tex] or [tex]y=0[/tex]

**This means that: **y axis and x axis

**The angle between the two axes is 90 degrees**

**Hence: (c) is correct**

What’s the answer please help me no links at all if you do I will report

**Answer: 78**

**Step-by-step explanation:**

What is the answer to this?

9514 1404 393

**Answer:**

$125 per car

**Step-by-step explanation:**

The problem statement tells you Jazmin's pay goes up by $125 for each car she sells. That rate of change is **$125 per car**.

The trapezoid below is formed from two triangles and a rectangle. What is the area of the trapezoid?

9 cm

3 cm

6 cm

3 cm

A 81 cm 2

B 108 cm 2

C 67.5 cm 2

D 54 cm 2

**Answer:**

A. 81 cm^2

**Step-by-step explanation:**

9*6 = 54

9*3 = 27

54+27 = 81

Can someone help me pls

I think is B sorry if it’s not

I think the answer is B) Find m (arc DC)

Find the area (in square centimeters) of a regular pentagon

**Answer:**

Given

apothegm [a]=3.2cm

since Pentagon has 5 equal side

perimeter [P]=5×4.6=23cm

now

Area of regular pentagon

A=1/2 aP=1/2×3.2×23=**36.8cm²**

15% of number is 54. What is 2/3 of that number?

9514 1404 393

**Answer:**

240

**Step-by-step explanation:**

The value is proportional to the fraction:

n/(2/3) = 54/(0.15)

n = (2/3)(54/0.15) = 240 . . . . . multiply by 2/3

**2/3 of the number is 240**.

Triangles ABC and XYZ are shown below. A student knows that AX and 2cm 22. The student claims that AABC is similar to AXYZ

Determine whether each statement below can be used as part of a justification for the claim that ABC is similar to AXYZ Select Yes or No for each statement.

Yes No

AC

A dilation of AABC by scale factor k =

through center results in A4'B'C where A'C = XZ

Triangle A'B'C, which results from a dilation of ABC such that A'c = XZ, is congruent to AXY2 by Angie-Side-Angle (ASA) O

There exists a sequence of rigid transformations and dilations that carries A4BC to AXYZ, so it follows that AABC is similar to AXYZ OO

sorry i couldn't answer tho

Consider the equation below.

Determine which equation has the same solutions as the given equation.

Answer:

A) (x - 5)² = 36

Step-by-step explanation:

x² - 10x - 11 = 0

A) CORRECT

(x - 5)² = 36

x² - 10x + 25 = 36

x² - 10x + 25 - 36 = 0

x² - 10x - 11 = 0

Explain how to find the area of the composite figure above in your explanation be sure to include the formulas you will need to solve the problem

9514 1404 393

**Answer:**

40.5 square inches

**Step-by-step explanation:**

The figure appears to be a trapezoid with bases 15 inches and 12 inches, and a height of 3 inches. The formula for the area of a trapezoid is useful in this case:

A = 1/2(b1 +b2)h

A = (1/2)(15 in +12 in)(3 in) = (1/2)(27 in)(3 in) = 40.5 in²

**The area of the composite figure is 40.5 square inches**.

__

*Additional comment*

You get the same answer if you divide the figure into a rectangle and a triangle. The rectangle is 3 in high by 12 in long, so has an area of ...

A = bh = (12 in)(3 h) = 36 in²

The triangle has a base of (15 -12) = 3 in, and a height of 3 in. It has an area of ...

A = 1/2bh = 1/2(3 in)(3 in) = 4.5 in²

Then the total area is the sum of the rectangle and triangle areas:

figure area = 36 in² +4.5 in² = **40.5 in²**

Order the angles in each triangle from smallest to largest

**Answer:**

<E, <F, <G

**Step-by-step explanation:**

What is the area of ACDE to the nearest whole number?

Area of ACDE =

**Answer:**

**Step-by-step explanation:**

Area of rectangle ABCD = 84.

BC=x

We can use pythagorean to find x. 12^-6^2=c^2

C=6root3

6root3*6/2 = area of triangle ABC

ABC=18root3

Area of ACDE=84-18root3 which equals about 53

7 over 6 divided by 4

**Answer:**

0.29

**Step-by-step explanation:**

I used a calculator

A probability calculator is required on this problem; answer to six decimal places. Suppose we will flip a fair coin 100 times. Using a calculator, find the probability of getting between 42 and 58 heads (inclusive) in two ways: By a Normal approximation: 0.910869 Exactly: 0.920609 How far off is the Normal approximation

**Answer:**

**Step-by-step explanation:**

Number of toss ( n ) = 100

probability of a head in 1 toss ( p ) = 0.5

Hence : np = 100 * 0.5 = 50 > 5, also n( 1-p) = 50 > 5

mean value ( μ ) = np = 50

std = √ n(p)(1-p) = √100(0.5)(0.5) = 5

Using Normal approximation

P( 42 ≤ x ≤ 58 ) = P ( 42-0.5 ≤ x ≤ 58 + 0.5 )

= P( (41.5 - 50) / 5 < Z < (58.5 - 50) / 5 )

= P ( -1.7 < Z < 1.7 )

= **0.91087 **

Using Calculator to get the exact value

P( 42 ≤ x ≤ 58 ) = **0.911374**

How far off is the Normal distribution (Absolute value of error )= | 0.911374 - 0.91087 | = **0.000504**

What is the length of the unknown leg in the right triangle?

**Answer:**

There is no triangle.

**Step-by-step explanation:**

**Answer:**

Your final answer is √32 miles.

**Step-by-step explanation:**

Determine if each set of coordinates form a horizontal or vertical line.

a. (-3, 6) & (-3, 2)

b. (8, 4) & (-3, 4)

c. (11, -5) & (-9, -5)

d. (9, -3) & (9, -12)

**Answer:**

a. vertical

b. horizontal

c. horizontal

d. vertical

**Step-by-step explanation:**

if the x coordinate changes it's horizontal and if the y coordinate changes it's vertical

Brainliest for correct answer

**Answer:**

I got 678.58401 but i think it is C. 648n cubic units

**Step-by-step explanation:**

Kym used the integer tiles to find the sum of (–3)+6.The line showed that the answer is negative 3.Which of the following does Kym need to do to get the correct answer

**Answer:I need points **

**Step-by-step explanation:**

adsfnsafasfj;ljfdksfas;lfkjdf;lksdfjsdlksfajf

**Answer:**

remove the zero pairs

so B

**Step-by-step explanation:**

Each side of a square potholder is 21 centimeters long.

What is the area of the potholder?

The answer is a 441 cm area

The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.32 psi and 0.21 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.

**Answer:**

H0: u ≥ 9.5

Ha: u < 9.5

**Step-by-step explanation:**

The null hypothesis and the alternate hypothesis are reverse of each other.

The claim is either set as the null or alternate hypothesis

The null hypothesis is : H0: u ≥ 9.5 the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.

The alternate hypothesis is: Ha: u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is not considered equivalent to the standard.

This table shows how the amount Mary earns from yard work depends on the number of hours she works. Time spent (hours), x 3 4 Amount earned, y $24 $32 How much money does Mary earn per hour? $ per hour

she earns 8 dollars per hour

What is the fewest number of quarters, nickels, and pennies that can be fairly exchanged for 2 quarters, 6 nickels, and 9 pennies?

**Answer:**

Your answer is 3 quarters, 2 nickels, and 4 pennies

**Step-by-step explanation:**

2 quarters plus 6 nickels plus 9 pennies is equal to 89 cents. So if we subtract 75(3 quarters) we get 14 which is less than 25 therefore we must only use nickels and pennies from now on. If we take 14 and subtract 10(2 nickels) we get 4 which less than 5 leaving us only to use pennies, which one a piece so it must be 4 pennies. Hope this helps!

Josie baked a cake and ate .6 of it. Express this decimal as a percent and as a fraction.

**Step-by-step explanation:**

Hi,

To write this answer as a percent, simply divide it by 10.

6/10 is the same thing as 60%.

As a fraction, it's 6/10.

As a percent it's 60%

I hope this helps :)

What is 140% of 60

Pls help I need help pls pls pls pls pls pls

**Answer:**

84

**Step-by-step explanation:**

To calculate how much 140% of 60 does we need to multiply 60 with 140 then divide it by 100

60 x 140 ÷ 100 = 84

Hunger Games Help Based on what you learned about propaganda in thebeginning of this lesson, which of the following eventswould be propaganda?AKatniss returning Buttercup to Prim.BPeeta asking Katniss for a ceasefire.C The Capitol showing the bombings of District 12.
HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
What craft is the Ashanti MOST famous for? *Head wear Wood carvingsBeaded necklacesKente cloth
How were the wealthy landowners treated by the peasants denunciation meetings under Mao
When might an author choose to use a table in an informational text?An author might choose to use a table in an informational text when he/she doesn't think an entire text is necessary to convey the information.An author might choose to use a table in an informational text when he/she wants the reader to think mathematically about a topic.An author might choose to use a table in an informational text to communicate a large amount of information very quickly to the reader.An author might choose to use a table in an informational text to make the information appear more academic and scholarly.
Natalie budgets $146 for yoga training. She buys a yoga mat for $10 and spends $9 per day on yoga classes. Which inequality represents the number of days, d, that Natalie can take classes and stay within her budget? A 146 9d + 10 B 146 9d + 10 C 146 10d + 9 D 146 10d + 9
Each square on the grid represents 1 square yard. What is the area of the octagon?A.49 sq yd B.41 sq yd C.36 sq yd D.39 sq yd
Determine the measure of side AC. Round to the nearest tenth.
What behavioral differences would you predict between the chicks treated with testosterone and chicks in each of the control groups.
What are someexamples of good things JohnBrown did? If possible please provide a website so I can check it as well
Which sequence of transformations on ABC will result in a figure that is congruent to ABC?
Please someone help, I know its kind of a lot, but I need these answers fast pls. Using the graphing calculator, type in the table and complete a linear regression. The value of the correlation coefficient is found next to the letter (__) in the table. The value of the correlation coefficient is (__) [round to the hundredths place]. When the correlation coefficient is interpreted, it means that the correlation is (__) and (__). This means the points will be (__) [close or further away] to the line.
9- The results of this type of DNA analysis are often used to helpdetermine *A) the number of DNA molecules in an organismB) if two species are closely relatedthe number of mRNA molecules in DNAOD) if two organisms contain carbohydrate molecules
hi pls answer
if 15% of x is 12. what is x?
Which of the following words is the best replacement for the underlined word in the sentence? I didnt believe that I had the endurance to complete the marathon, but I muscled through.a.strengthc.skillb.musclesd.none of the abovePlease select the best answer from the choices provided
hellllllllllllpppppppppppppppp!
Which is referred to as utility? o effectiveness of advertising O consumer satisfaction O producer allocation O availability of resources
Which flows through the other?
What should a body paragraph in an informative essay include? Check all that apply.a hookevidencea summarya topic sentencea thesis statementa restatement of the thesis