For the given expression, find the quotient and
Remainder
2x4 - 7x² + 7x + 2 divided by x2 +9
Quotient:
Remainder:
Answer:
6
Step-by-step explanation:
2 What is the sum of 5x2 + 3x - 7 and 12x + 12? A. 5x2 + 15x + 5 B. 5x2 + 15x + 19 C. 17x2 + 3x + 5 D, 17x2 + 15x + 12 4 E. 20x" + 5
The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answer:
[tex]I_1=40I_2[/tex]
Step-by-step explanation:
[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7
[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1
[tex]I_1[/tex] = Intensity of 1994 earthquake
[tex]I_2[/tex] = Intensity of 2014 earthquake
[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm
Magnitude is given by
[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]
[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]
Dividing the above intensities with each other we get
[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]
The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.
Candace bought 14 sacks of dog food to share equally among three dog shelters. How much dog food does each shelter get?
Answer:
4 sacks
Step-by-step explanation:
1+1 explain in ironically amazing detail!
A sample of 5 months of sales data provided the following information:
Month 1 2 3 4 5
Units Sold 97 120 88 97 93
Required:
a. Develop a point estimate of the population mean number of units sold per month (to 1 decimal).
b. Develop a point estimate of the population standard deviation (to 2 decimals).
Answer:
a. 99
b. 12.31
Step-by-step explanation:
a. Estimate of the population mean number of units sold per month
n = Number of Data Values = 5
Sum of Data Values = Σxi =97 + 120 + 88 + 97 + 93 = 495
Sample Mean = X = Σxi/n = 495 / 5 = 99
The population mean number of units sold per month is 99
b. Estimate of the population standard deviation
Month Data (x) X x - X (x - X)^2
1 97 99 -2 4
2 120 99 21 441
3 88 99 -11 121
4 97 99 -2 4
5 93 99 6 36
Sum of deviation squared 606
s^2 = Sample Variance = Σ(xi - X)2/(n - 1)
Sample Variance = 606/4 = 151.5
Sample Standard Deviation = √Sample Variance
Sample Standard Deviation = √151.5
Sample Standard Deviation = 12.30853362509117
Sample Standard Deviation = 12.31
The point estimate of the population standard deviation is 12.31
What are 25 times by the same number then divide it by sixty
Which expression is equivalent to 27 + 45? (1 point) 8(3+6) 8(19 + 37) 09(3 + 5) O 9(18 + 36)
Answer:
9(3+5)
Step-by-step explanation:
My favorite pancake recipe
2 cups all purpose | plain flour, (290 g | 10 oz)
1/4 cup granulated sugar or sweetener, (60g | 2 oz)
4 teaspoons baking powder
1/4 teaspoon baking soda
1/2 teaspoon salt
1 3/4 cups milk, (440ml)
1/4 cup butter, (60g | 2 oz)
2 teaspoons pure vanilla extract
1 large egg
Combine everything in a bowl (separate wet and dry) and cook at medium low heat until it is brown and there are bubbles on top. Then serve with syrup. Good luck!!!
Answer: 8(3+6)
Step-by-step explanation:
Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years. a. Calculate a 95% two-sided confidence interval on the death rate from lung cancer. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03
Answer:
a. The 95% confidence interval is 0.799<p<0.847
b. The sample size n is 622
Step-by-step explanation:
A
P^ = 823/1000
= 0.823
At 95% confidence interval
P^ +- z-alpha/2√p^(1-p^)/n
z-alpha/2 = 1.96
When we insert values we get:
0.823+-1.96√0.823(1-0.823)/1000
= 0.823+-1.96√0.000145671
= 0.823+-1.96(0.012069)
= (0.8467, 0.7993)
The 95% confidence interval is 0.799<p<0.847
B.
We are to compute the sample size here.
The formula and full calculation has been done in the attachment.
4268.4x0.145671
= 621.78
= 622
n = 622
What is 65658 divided by 706? SHOW YOUR WORK!!
Answer:
the answer is 93
Step-by-step explanation:
i dont know how to explain it but just use a calculator.
A small order of fries at Wendy’s has 90 more calories than the small order of fries at McDonald’s. If together they have 550 calories, how many calories are in the Wendy’s small order of fries?
Answer:
320 caloriesStep-by-step explanation:
Small order of fries at Wendy’s = x calories
Small order of fries at McDonald’s = y calories
x = y + 90x + y = 550Substitute x in the second equation
y + 90 + y = 5502y = 550 - 902y = 460y = 230Then, x is:
x = 230 + 90 = 320 caloriesPlease i need help
A point on a wheel has a constant angular velocity of 3 rad/s. The angle turned through in 15 seconds is:
45 rad
10π
5 rad
90π rad
The sum of the two numbers is 37. The smaller number is 21 less than the larger number. What are the numbers?
what is the x intercept of the line
Answer:
Hey man! Please upload a picture of your line and I'll hapily find the x intercept. If you can't the way to find an x intercept is to see where the x is zero and find what the y is so (0,y)
Calculate 21+23+25...+81
Answer:
150
Step-by-step explanation:
Have a great night. ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
find the missing value for each of the following 3 questions
1. 5% of 60 is _____
2. 40% of 500 is _____
3. 75% of 60 is ______
Answer:
1. 3
2. 200
3. 45
Step-by-step explanation:
The length of a rectangle is four times its width. Twice the perimeter of that rectangle is 160 cm. Find
the length and width of that rectangle. pls answer fast
Answer:
Step-by-step explanation:
Given twice the perimeter of rectangle =160
Let width of the rectangle=X
So length of the rectangle =4x
2(perimeter of rectangle)=160
2[2(length+width)]=160
4(4x+x)=160
5x=160/4
5x=40
X=40/8
X=5cm
So length of the rectangle =4x
=20cm
Width of the rectangle =X
=5cm.
Length = 4*5 = 20 cm
Width. = 4 cm.
Is the percentage illumination of the moon's surface a linear function of the day
Answer:
No (The linear model did a very bad job of approximating the data.)
I am so sorry if this in incorrect.
The percentage illumination of the moon's surface is not a linear function of day
How to determine the true statement?From the complete question, the dataset can be represented using the following table:
Days Percentage Illumination
1 2%
2 6%
3 50%
4 100%
Notice that as the number of days increase by 1, the percentage illumination of the moon increase at different intervals
This means that the percentage illumination is not a linear function of day
Read more about linear functions at:
https://brainly.com/question/14323743
#SPJ2
Determine if the product CA is defined. If the product is defined, state its dimensions. Do not calculate the product.
Answer:
The product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Step-by-step explanation:
Matrix multiplication
To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.
If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).
Matrix A has two rows and three columns (2x3)
Matric C has three rows and two columns (3x2)
If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.
Since both numbers are 2, the product can be calculated.
The resulting matrix will have 3 rows and 3 columns.
Help please I don’t get
Answer:
answer: 5^36
Step-by-step explanation:
(5^9)^4
5^9x4
5^36
answer: 5^36
alternative form 1.45519x 10^25
Answer:
is 5^36
Exact Form:
14551915228366900000000000
Decimal Form:
1.45519152⋅10^[tex]{25}[/tex]
Complete the following statement:
12 orders in 2 days =
orders per day.???
Answer:
6 orders per day.
Step-by-step explanation:
12 divided by 2 is 6.
This means that in one day they can pack 6 orders.
Answer:
12 orders in 2 days = 6 orders per day
Step-by-step explanation:
In two days, 12 orders were completed. To find the amount of orders per day, we divide the number of orders by the number of days.
12÷2=6
Therefore, 6 orders per day.
Write an equation that represents the following word problem.
Jackie has four more apples than Mark and together they have twelve apples. How many apples do each Jackie and Mark have?
a + (a - 4) = 12
a + (a + 4) = 12
both of these would work
neither of these would work
Answer:
Both would work.
Step-by-step explanation:
If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!
Answer:
both
Step-by-step explanation:
I got it right on the quiz
Which algebraic expression is equivalent to the expression below?
(16x + 1) - 5x
A.
21x + 1
B.
16x + 4
C.
11x - 1
D.
11x + 1
Answer:
D
Step-by-step explanation:
(16x +1) -5x
you basically subtract the -5x from 16x
11x +1
PLEASE HURRY, ILL GIVE BRAINLIEST
A football player kicks a ball with a force of 50 N. Find the impulse on the ball if his foot stays in contact with the football for 0.01 second.
Answer:
I= f.t = (50) (0.01) = (0.5) kg.m15
Step-by-step explanation:
jesus loves you and cares for you
ANSWER PLEASE !!!!! I NEED IT NOW!!
HELP I WILL MARK BRAINLIEST
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on the map is 1 cm
What is the y-intercept of the function fx) = -2/9x + 1/3
O -2/9
O- -1/3
O- 1/3
O-2/9
Answer:
Step-by-step explanation:
The answer is 1/3
16. If there are 75 calories in 220 grams of an artificial sweetener, how many calories would be
in 484 grams of that same artificial sweetener?
d. 165 calories
a. 150 calories
b. 155 calories
c. 160 calories
Answer:
d. 165 calories
Step-by-step explanation:
First of all, we would find the amount of calories in 1 gram of the artificial sweetener
1 gram = 220/75
1 gram = 2.93 calories
Therefore, 484 grams has;
484 * 2.93 = 165.2
Approximately, this is equal to 165 calories.
Method 2
220 grams of the artificial sweetener has 75 calories.
484 grams of the artificial sweetener has x calories.
Translating the word problem into an algebraic equation, we have;
220 = 75
484 = x
Cross-multiplying, we have;
220x = 75*484
220x = 36300
x = 36300/220
x = 165 calories.
I need help with this, Please explain to me this.
Answer:
Ithink b
Step-by-step explanation:
because all of them are they dissimilar to the reason
Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 in the account. Determine the constant rate of change of the account.
The constant rate of change of the account is $40 or Increasing by $40 per month.
Step-by-step explanation:
Consider the provided information.
Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.
Rate of change is known as how one quantity change in relation to other.
The rate of change can be calculated as:
y2-y1/x2-x1
Now use the above formula to calculated the rate of change.
240 - 120/6-3
120/3
40
Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.