()) Solve for w.
W times 1/2= 7/8
(2x^4+5x^3+5x^2+10+8)/(x+2)
Answer:
30
Step-by-step explanation:
You use polynomial division to divide all the numbers on the numerator by the denominator.
Can someone help me with 3 and 4
Answer:
x÷3+10 (if x=15)
15÷3+10
5+10
15
Study these equations:
f(x) = 2x – 8
g(x) = –5x
What is h(x) = f(x)g(x)?
h(x) = 10x2 – 40x
h(x) = –10x2 + 40x
h(x) = –10x + 40
h(x) = 10x – 40
The function composite h(x) = f(x)g(x) is -10x² + 40x.
Option b)-10x² + 40x is the correct answer.
What is the function composite h(x) = f(x)g(x)?Given the functions in the question;
f(x) = 2x - 8g(x) = -5xh(x) = f(x)g(x) = ?Since h(x) = f(x)g(x), replace the function designators in f(x)g(x) with the actual functions.
h(x) = f(x)g(x)
h(x) = ( 2x - 8 )( -5x )
Apply distributive property.
h(x) = ( 2x - 8 )( -5x )
h(x) = 2x(-5x) - 8(-5x)
Perform the operation to remove the parenthesis.
h(x) = -10x² + 40x
The function composite h(x) = f(x)g(x) is -10x² + 40x.
Option b)-10x² + 40x is the correct answer.
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Answer:
The answer is B
Step-by-step explanation:
<3
5 In a pet store, there are 6 kittens, 4 gerbils, 7 canaries, and 9 puppies. If a pet is chosen at
random, what is the probability of choosing a puppy or a canary?
Answer:
a puppy because it easy to take care of
Step-by-step explanation:
I need help with this
Answer:
(x -14)² +(y -7)² = 1²
Step-by-step explanation:
You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.
Equation of a circleThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...
(x -14)² +(y -7)² = 1²
A diphosphonate kit contian 180 mCi of Tc99m in 30 ml when it is prepared at 8am. Immediately, a 20 mCi dose is withdrawn for a bone scan. if the patient arrives late at 9:30 and half the volume is accidentally discharged, how much volume from the kit must now be added to the syringe to correct the dose to 20 mCi? (no other doses have been withdrawn meanwhile, and the decay factor for 1.5 hrs is 0.841)
The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = Initial activity * Decay factor
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = Initial activity - 20 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = Remaining activity * Decay factor
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30
Calculate the remaining volume at 9:30:
Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume
Let's perform the calculations step by step:
Determine the initial activity of the kit:
Initial activity = 180 mCi
Calculate the decayed activity at 9:30 (after 1.5 hours):
Decay factor = 0.841
Decay activity = 180 mCi * 0.841 = 151.38 mCi
Calculate the remaining activity after withdrawing 20 mCi at 8 am:
Remaining activity = 180 mCi - 20 mCi = 160 mCi
Calculate the remaining activity at 9:30:
Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi
Calculate the desired activity at 9:30 (20 mCi):
Desired activity at 9:30 = 20 mCi
Calculate the volume needed to achieve the desired activity:
Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30
Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml
Calculate the remaining volume at 9:30:
Remaining volume = 30 ml - (30 ml / 2) = 15 ml
Calculate the volume that needs to be added:
Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml
Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Nikhil and Mae work at the same company. Nikhil has been at the company 4 times as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to find the years of employment ?The system of equations given is:
x = 4y
x = 8 + 2y
You can solve the system by setting the two expressions for x equal to each other:
4y = 8 + 2y
2y = 8
2y / 2 = 8 / 2
y = 4
Substitute y = 4 into the first equation to solve for x:
x = 4 x 4
= 16
So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.
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twenty insurance agents are randomly selected and asked if they own a handgun. fourteen of those surveyed said that they do own a handgun. if an insurance agent is randomly selected, estimate the probability that the agent will own a handgun. round your answer to two decimal places, if necessary.
The probability is 0.8427.
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
Here we are total number of insurance agents = 89
And number of insurance agents do own a handgun = 75
So we asked probability that a insurance agent will own a handgun
Probability = no.of insurance agents/no.of insurance agents who owns a handgun
Probability = 75/89 = 0.8427
The probability that the agent will own a handgun is .84
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What is the multiplicative inverse of 2 8/17
Answer:Multiplicative inverse of 8/17 is 17/8
Step-by-step explanation:
Answer:
17/36
Step-by-step explanation:
2 x17= 34
34 plus 2
36/17
36/17x17/36=1
we just flip the fraction and multiply them to make them 1
Hopes this help please mark brainliest
Can someone help me with this question?
Answer:
2/6 or 1/3
Step-by-step explanation:
To find probability, we have to look at the favorable outcome (the outcome we're looking for - in this case, rolling greater than a 4) divided by the total outcomes (the total possible outcomes - in this case, 6).
There are 6 sides on a dice, as laid out in the question. How many numbers on a dice are greater than 4? Well, 5 and 6, of course. These are only two sides of the dice, so our probability would be 2/6, or simplified, 1/3, and that's our answer.
If you'd like a more in-depth explanation, please let me know and I'd be happy to help. :)
The point {-1,5} is reflected over the y-axis. Where is the location of the new
image?
A (1,-5)
B(1,5)
C(5, 1)
D (-1,-5)
Answer:
B (1, 5)
Step-by-step explanation:
When a point is reflected over an axis, the coordinate which corresponds to that axis does not change. The other coordinate becomes negative with respect to the current value.
Hence, since the y-axis is mentioned, the y-coordinate does not change and the x-coordinate becomes negative.
New point = (-(-1), 5)New point = (1, 5)Option BAnswer: The answer i "B"
Step-by-step explanation: No need for a long explanation im sure of it the answer is surely, B
how do I write two trillion ninety nine in number form?
Answer:
here
Step-by-step explanation:
2.000.000.099
Suppose U = The set of one digit numbers and A = {x: x is an even natural number less than or equal to 9} Describe each of the sets by complete listing method: A'
The sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}
How to list the set elements?The sets are given as:
U = The set of one-digit numbers
A = {x: x is an even natural number less than or equal to 9}
One-digit numbers are numbers 0 - 9.
So, we have
U = {0, 1, 2, 3.....,9}
Natural numbers are numbers from 1.
Even natural numbers can be divided by 2 without remainder'
So, we have
A = {2, 4, 6, 8}
Hence, the sets U and A are U = {0, 1, 2, 3.....,9} and A = {2, 4, 6, 8}
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Answer:
Step-by-step explanation:
15x 18 + 12+ 3+ 9
Pemdas
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{294}}}}}\)
Step-by-step explanation:
PEMDAS is a acronym which helps you to remember the order of operations.
PEMDAS stands for :
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Let's solve
\( \sf{15 \times 18 + 12 + 3 + 9}\)
Multiply the numbers : 15 × 18 = 270
⇒\( \sf{270 + 12 + 3 + 9}\)
Add the numbers : 270 + 12 + 3 + 9
⇒\( \sf{294}\)
Hope I helped!
Best regards!!
Answer:
This would equal 294
Step-by-step explanation:
i added them up
$16,000 is deposited into a savings account with an annual interest rate of 2% compounded continuously. How much will be in the account after 4 years? Round to the nearest cent.
The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.
Understanding Compound InterestRecall the compounding formula:
A = P * \(e^{rt}\)
Where:
A = Final amount in the account
P = Initial principal (deposit)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (as a decimal)
t = Time in years
Given:
Initial principal (P) = $16,000
Annual interest rate (r) = 2% = 0.02
time (t) = 4 years.
Substitute these values into the formula, we get:
A = $16,000 * \(e^{0.02 * 4}\)
Using a calculator, we can calculate:
A = $16,000 * \(e^{0.08}\)
A = $16,000 * 1.0833
A = $17,332.8
Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.
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It takes 9 1/2 inches of string to make one bracelet. How many bracelets can be made if you only have 5 yards of string?
Answer:
18
Step-by-step explanation:
Evaluate: 13.5+14.5×3.1
Answer:
58.45
Step-by-step explanation:
Use BIDMAS
14.5 X 3.1 = 44.95
44.95 + 13.5 = 58.45
Answer:
58.45
Step-by-step explanation:
Earl runs 50 meters in 20 seconds. How many meters does Earl run per second?
Answer:
2.5 meters
Step-by-step explanation:
Answer:
Earl can run 2.5 meters in one second.
Step-by-step explanation:
We know that Earl can run 50 meters in 20 seconds. That means he can run 150 meters in one minute and 9,000 meters (or 9 kilometers) in one hour. 50 meters / 20 seconds = ? meters / 1 second
50 meters / 20 seconds = x / 1 second
(50 x 1) = (20) (x)
50 = 20x divide both sides by 20 to get the "x" alone
50 / 20 = x
2.5 = x
please look at the screenshot below 45 points and first one will be brainliest
Answer:
A
Step-by-step explanation:
To find the perimeter you must add all four sides together. Since it's a rectangle, the top and bottom are the same size and the left and right sides are the same size. You add all four together to get the perimeter.
Which of the following are disadvantages of the mode?
For many sets of data there are multiple modes.
The mode is affected by extremely large and small values.
For many sets of data there is no mode.
the mode can only be computed for interval-level data or higher
The disadvantages of the mode are: For many sets of data there is no mode.
The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.
However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.
The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.
The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.
The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.
The correct option is: For many sets of data there is no mode.
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Please help me with this question!!!
Charlie works as a salesperson and receives a monthly salary of $2,000 plus a commission of $100 for every item that they sell. Find the model of Charlie's monthly pay, using P for pay and q for the number of items they sell in a month.
Enter your answer as a formula including "P(q)="
(do not include the dollar sign)
Step-by-step explanation:
Charlie's monthly pay, P, can be represented as a linear function of the number of items sold, q. The monthly salary of $2,000 represents the y-intercept of the line, and the commission of $100 per item sold represents the slope of the line.
Thus, the model for Charlie's monthly pay, P(q), can be expressed as:
P(q) = 100q + 2000
where q is the number of items sold in a month, and P(q) is Charlie's monthly pay in dollars.
18. Multiply, then check your work by switching factors.
a. 693 x 83
b. 910 x 45
c. 38 x 84
d. 409 x 89
The requried, Multiplies(with switching factors.) area given below,
a.
693 x 83 = 57489
83 x 693 = 57489
The answer is 57489.
b.
910 x 45 = 40950
45 x 910 = 40950
The answer is 40950.
c.
38 x 84 = 3192
84 x 38 = 3192
The answer is 3192.
d.
409 x 89 = 36401
89 x 409 = 36401
The answer is 36401.
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For a company picnic, Melissa ordered a box of fresh-baked gingerbread cookies and sugar cookies. She got 25 cookies in all. 4 of the cookies were gingerbread. What percentage of the cookies were gingerbread? pls help me asap WILL GIVE BRAINLEST
Answer:
16% of the cookies were gingerbread.
Step-by-step explanation:
4/25 = 16/100 or 16%
Hope this helps! :)
X/7 ≥ -6 solve for x
Answer:
x>=42
Step-by-step explanation:
multiply by 7 on both sides
Which term describes −8/27?
Answer:
8/27. Though the question is a bit confusing. If your asking which term describes it, its this a multiple choice question?
Step-by-step explanation:
8 /27
is already in the simplest form. It can be written as 0.296296 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions :
Find the GCD (or HCF) of numerator and denominator
GCD of 8 and 27 is 1
Divide both the numerator and denominator by the GCD
8 ÷ 1
27 ÷ 1
Reduced fraction:
8 /27
Therefore, 8/27 simplified to lowest terms is 8/27.
Answer:
-8/27
Step-by-step explanation:
if im counting backwards by 100s, starting at 815 how many times would it take me to get to 15.
Answer:
8 times
Step-by-step explanation:
715=1 2=615 3=515 4=415 5=315 6=215 7=115 8=15
Also 0=815.
Justin has 8 bags of chips. Everyday he eats 1/2 of a bag of chips. How many days before Justin runs out of chips?
Answer:
16 days
Step-by-step explanation:
multiply 8 by 2 because he is eating 1 bag of chip over the course of 2 days
Answer:
in 16 days he will run out of chips
Janet needs to paint the walls of a room shaped like a
rectangular prism. The room
has a length of 10 ft., a width of 15 ft, and a height of 8 ft. How much paint does she need to cover the
To solve this problem, we will use the formula of rectangular prism surface area.
The formula is:
A=2(wl+hl+hw)
A is the area, w is the width, l is the length, and h is the height.
So we will put in all the numbers.
A=2((15)(10)+(8)(10)+(8)(15))
Multiple all the numbers inside:
A=2(150+80+120)
Add all the numbers inside:
A=2(350)
Multiply:
A=700ft^2
Hope this helped!