1_3/4 • 4_1/6
(7/4) (25/6) = 175/24
Answer: 175/24
How is the Remainder Theorem related to the process of synthetic division?
Answer:
The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x - c is a factor of f(x). by x - 2. Use the result to find all zeros of f
Dylan took an applicant-paid job through an employment agency. The job pays $395 per week. Dylan must pay a fee to the agency. The fee is 20% of his first 4 weeks pay. How much does Dylan owe the employment agency?
Answer:
Dylan owed a $1,264 fee, and earned $316
Step-by-step explanation:
First find out how much money he gets in 4 weeks without the fee
395 times 4 = $1,580
Then multiply 1,580 by the .2 percent he owes the eployment agency
$316
(He gets $316 for working for 4 weeks minus the fee) Subtract the payment without the fee by the payment with the fee to find out how much the fee was.
Dylan owe the employment agency $316
First we need to calculate the amount that Dylan will earn for the first 4 weeks. This will be:
= Weekly earnings × Number of weeks
= $395 × 4
= $1580
Since Dylan pays 20% to the employment agency, then the amount owed will be:
= 20% × $1580
= 0.2 × $1580
= $316
In conclusion, Dylan owe the employment agency $316.
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Add 1 to half of h.How to write in algebraic expression?
I think of a number.
I multiply this number by 8, then subtract 66
The result is twice the number that I was thinking of.
What is the number I was thinking of?
Answer:
11
Step-by-step explanation:
Set up:
8x - 66 = 2x -> Subtract 2x from either side
8x - 2x = 66 -> Simplify
6x = 66 -> Divide either side by 6
x = 66/6 = 11
The number is 11
approximate
square root of 23 to the nearest tenth
Step 1: Calculate
We calculate the square root of 23 to be:
√23 = 4.79583152331272
Step 2: Reduce
Reduce the tail of the answer above to two numbers after the decimal point:
4.79
Step 3: Round
Round 4.79 so you only have one digit after the decimal point to get the answer:
4.8
To check that the answer is correct, use your calculator to confirm that 4.82 is about 23.
The square root of the number 23 is 4.8 after using the division method the answer is 23.
What is a number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 23 which is a real number and positive number.
As we know we can find the square root of a positive numbers only, the square root of a nagative number cannot exist
The square root of the number 23 = √23
The sign √ is a radical sign.
After using the division method;
√23 = 4.7958
After reducing the number up to two decimal places:
= 4.79
Rounding the above number to the tenth:
= 4.79 ≈ 4.8
4.8x4.8 = 23.04 ≈ 23
Thus, the square root of the number 23 is 4.8 after using the division method the answer is 23.
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How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 4 1/2
Answer: 50 mins?
Step-by-step explanation: 2 1/4 divided by 4 1/2 =.50
Which angle is a vertical angle with Angle EFD?
Answer:
Angle AFB
Step-by-step explanation:
What the answer and how
Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand. Identify the type I error for the test. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
Answer:
Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
Step-by-step explanation:
We are given that a hypothesis test of the given claim is conducted. A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 in a thousand.
Let p = the proportion of Americans that have seen a UFO
So, Null Hypothesis, [tex]H_0[/tex] : p = [tex]\frac{2}{1000}[/tex] = 0.002
Alternate Hypothesis, [tex]H_A[/tex] : p < [tex]\frac{2}{1000}[/tex] ⇒ p < 0.002
Here, the null hypothesis states that the proportion of Americans that have seen a UFO is equal to 2 in a thousand.
On the other hand, the alternate hypothesis states that the proportion of Americans that have seen a UFO is less than 2 in a thousand.
Now, the type I error states that the probability of rejecting the null hypothesis given the fact that the null hypothesis is true. Or, it is the probability of rejecting a true hypothesis.
So, in this context, the type I error is to Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
Which One Doesn't Belong:
A. 1 + 1/2
B. 6/4
C.3/4
D.30/20
Answer:
30/20
Step-by-step explanation:
How to write Eight more than four times a number is -12 as an equation
Step-by-step explanation:
4x +8=-12 is the answer
HELP ASAP!!!! simplify 3^2-4/5
Answer:
9-4/5
5/5 = 1
Step-by-step explanation:
Answer:
1
9-4/5 is equal to 5/5 which is equal to 1
You know that the Customer Acquisition Cost is the cost associated with convincing a customer to buy a good or service. It includes the product, research, marketing, and accessibility costs. You also know that it equals the marketing expenses per month divided by the number of new customers per month.
You have determined that two certain groups of customers are the largest groups of buyers. You want to know which group will be more profitable to target in terms of marketing. You check the company’s big data and find that the marketing expense per month for targeting the first group is $30,000, while the second group requires $60,000. You estimate that this marketing campaign will be able to attract 1,000 new customers for demographic group 1 and 1,500 for demographic group 2.
A B C
1 Marketing Expenses Number of Customer
for Targeting Customers Customers Acquisition Cost
2
What is the Customer Acquisition Cost for each customer in demographic group 1?
a. $50.
b. $40.
c. $30.
d. $60.
What is the Customer Acquisition Cost for Group 2?
a. $80.
b. $40.
c. $60.
d. $100.
Answer:
The Customer Acquisition Cost for each customer in demographic group 1
The correct option is c
The Customer Acquisition Cost for Group 2
The correct option is b
Step-by-step explanation:
From the question we are told that
The marketing expenses per month for targeting the first group is [tex]E = \$ 30,000[/tex]
The marketing expenses per month for targeting the second group is [tex]F = \$ 60,000[/tex]
The number of customers for the demography of group 1 that will be attracted is N = 1000
The number of customers for the demography of group 2 that will be attracted is M = 1500
Generally the customer acquisition cost for group 1 is
[tex]K = \frac{E}{ N}[/tex]
=> [tex]K = \frac{30000}{ 1000}[/tex]
=> [tex]K = \$ 30 [/tex]
Generally the customer acquisition cost for group 2 is
[tex]Z = \frac{F}{ M}[/tex]
=> [tex]Z = \frac{60000}{ 1500}[/tex]
=> [tex]Z = \$ 40 [/tex]
What is the equivalent of 7(7q+5)
Answer:
14q + 35
Step-by-step explanation:
Step 1: Write expression
7(7q + 5)
Step 2: Distribute 7 to each term
14q + 35
Please help!!!
Given that pentagon ABCDE ≈ pentagon FGHIJ, find the measure of angle 1.
A. 99
B. 100
C. 121
D. Cannot be determined
the given angle of 1 is 100
The measure of ∠1 is equivalent to 100°.
What is the difference between upward, downward, leftwards and rightwards translation?Upward translation : [k] units = When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation : [k] units = When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward Translation : [k] units = When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward Translation : [k] units = When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right.Given is that pentagon ABCDE ≈ pentagon FGHIJ.
Since the pentagons are similar, we can say that the corresponding angles will be equal. So, we can write -
∠1 = 100°
Therefore, the measure of ∠1 is equivalent to 100°.
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What is the minimum number of x-intercepts that a polynomial of degree 10 can have?
Hello.. Find an angle between 0 and 2pi (in decimal form) that is coterminal with the given angle.
a. 13pi/5
b. -13pi/3
c. 57pi/2
d. 11pi/7
I know the answer to the first one is 1.88495559215. However, following the formula I was given by my teacher gives me decimals that are higher than the decimal for 2pi or lower than 0, so the other questions keep being wrong. Can someone please help?? I have no idea what to do.
9514 1404 393
Answer:
a. 1.88495559215 radians
b. 5.23598775598 radians
c. 1.57079632679 radians
d. 4.93678845564 radians
Step-by-step explanation:
You want the coefficient of pi to be between 0 and 2. That is, you want its value modulo 2--the remainder from division by 2.
a. 13/5 = 2.6; 2.6 mod 2 = 0.6. 0.6π ≈ 1.88495559215 (as you know)
b. -13/3 = -4 1/3; -4 1/3 mod 2 = 1 2/3*. 5/3π ≈ 5.23598775598
c. 57/2 = 28.5; 28.5 mod 2 = 0.5. 0.5π ≈ 1.57079632679
d. 11/7 = 1 4/7. 11/7π ≈ 4.93678845564
All angles are in radians.
__
* My calculator gives the value of -4 1/3 mod 2 as -1/3. We want the positive value, so must add 2 to this. The attachment shows Desmos is smarter than my calculator.
The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
Answer:
a. 14,000 pesos
b. 23 years
Step-by-step explanation:
Use the domain and range of each of the following relations to determine which is a function.
{(-4,3), (-2,-1), (-4,8)}
{-4, 3), (-2.-1), (-7, 8)}
{-4,-2,-7, 7}
{-4,3). (-2, -1). (-2, -8), (-7,8)}
Answer:
A) Not a function
B) Function
C) Function
D) Not a function
Step-by-step explanation:
If the relation has two of the same x-values (that equal different y-values), it is not a function. In other words, if each input value leads to only one output value, classify the relation as a function.
{(-4,3), (-2,-1), (-4,8)} = Not a function
{-4, 3), (-2.-1), (-7, 8)} = Function
{-4,-2,-7, 7} = Function (I think?)
{-4,3). (-2, -1). (-2, -8), (-7,8)}= Not a function
what is the tenth term in the sequence 25, 43, 61, 79, 97,....? a)187, b)151, c)133, d)115
Answer:
The tenth term would be: 187
Step-by-step explanation:
Best to make a table and apply the rule being used in order to find the pattern. The rule in this case is:
25 --- 43 --- 61 --- 79 --- 97--- ___ --- ___ --- ___ and so on
First we must find how 25 gets to 43, 61 to 79, and so on.
25 + 18 = 43
43 + 18 = 61
61 + 18 = 79
97 + 18 = 115
And you may continue this till you get to the tenth term!
6) 115
7) 133
8) 151
9) 169
10) 187
This is your answer!
A)
Answer:
A.187
Step-by-step explanation:
A. Describe how each student might have reached his or her conclusion. Is each student’s conclusion valid? Explain.
Answer: Conclusion validity is the degree to which conclusions we reach about relationships in our data are reasonable.
Step-by-step explanation:
WHAT IS 12X124
PLEASE ANSWER ASAP FIRST TO ANSWER GETS BRAINLY
Answer:
1488 (✿◕‿◕✿)
Step-by-step explanation:
Answer:
1488
step-by-step explanation:
124
12 when multiplied equal 1488
True or false the ordered pair (3,28) is a solution to the equation 3x-2y=-8
Answer:
true.................................
Exponential Function:
Activity: Bacterial population
A population of bacterium in laboratory conditions grows every 20 minutes in 10% the number of specimens. At the beginning of the observation, at 8:00 AM, the population had approximately 3,000,000 individuals:
1. Complete the following attached table (table below) as requested by completing each of the blank boxes.
2. What is the approximate population of bacterium at 10:00 AM?
3. Write the function in power form, indicating which is the dependent and independent variable.
4. Using the function found, determine the bacterial population five hours after the start of the observation.
Answer:
See below
Step-by-step explanation:
GivenInitial population at 8:00 AM3000000Growth rate = 10% = 1.1 times per 20 minSolution1. Table
Note. I am not sure what are the last 3 rows. Just added next 3 terms.
8:00 ≡ G(0) ≡ 3000000 ≡ 30000008:20 ≡ G(1) ≡ 3000000 *1.1 ≡ 33000008:40 ≡ G(2) ≡ 3000000 *1.1^2 ≡ 36300009:00 ≡ G(3) ≡ 3000000 *1.1^3 ≡ 39930009:20 ≡ G(4) ≡ 3000000 *1.1^4 ≡ 43923002. Population at 10:00
Time passed since 8:00 is 2 hours = 2*3*20 min = 6* 20 minPopulation = 3000000*1.1^6 = 53146833. Function to reflect the population growth
G(x) = 3000000*1.1^xG(x) - is dependent variable, population of bacteriax - is independent variable, time increment of 20 min4. Population after 5 hours
5 hours = 5*3*20 min = 15*20 minG(15) = 3000000*1.1^15 ≈ 12531745Question 3/3 Devon opened a bank account with $225. He saves $25
per month. What is the least amount of months it will take him to save $750?
Answer:
21 Months
Step-by-step explanation:
If he already has $225, we can do 750 - 225 to get 525. $525 represents how much more money he needs to reach his goal of $750. So we can do 525 divided by 25, since that is how much he makes per month, giving us 21. 21 is how many months it will take until he gets to $750 without spending anything.
C) Work out 3/4 × 5 (Give your answer as the simplest mixed fraction).
Answer: 3 ¾
------------------
Answer:
15/4=3 3/4
Step-by-step explanation:
3 and 3/4 is the awnser
Simplify y + (15 + y)
Answer:
2y + 15
I hope this helps!
Remove the parenthesis:
y+15+y
Group like terms:
y+y+15
Add similar elements:
2y+15
what is the answer of this 100 x 20 =
Answer:
2,000
Step-by-step explanation:
An easy way of solving problems like these is to count the number of zeros in the equation, temporarily remove them, solve the new problem, and then add all the zeros that you removed before. In this case:
100 x 20 = ?
1 x 2 = ? | 000
2 | 000
2,000
Here's another example:
300 x 5000 = ?
300 x 5000 = ?
3 x 5 = ? | 00000
15 | 00000
1,500,000
Solve the algebraic equation
11 = 3 - 7x
Answer:
-8/7 =x
Step-by-step explanation:
11 = 3 - 7x
Subtract 3 from each side
11-3 = 3-7x-3
8 = -7x
Divide each side by -7
8/-7 = -7x/-7
-8/7 =x
Answer:
x= -8/7
Step-by-step explanation:
1. subtract 3 from both sides
2. divide both sides by 7 to isolate x
3. multiply both sides by -1 so x can become positive
Balu and Pumba shared ½ of a cake. Balu got to eat twice as much cake as Pumba. What fraction of the whole cake did Balu eat?
Answer: 1/3
Step-by-step explanation:
Answer:
2/6
Step-by-step explanation:
2/6 + 1/6 = 3/6 which is 1/2 2/6 is the amount balu had and 1/6 is the amount pumba had
