Answer:
There are a variety of possible answers, including the following:
4 and 4 (4 + 4 = 8........4 - 4 = 0.......... 6 > 0)
6 and 2 (6 + 2 = 8........6 - 2 = 4.......... 6 > 4)
5 and 3 (5 + 3 = 8.........5 - 3 = 2.......... 6 > 2)
And for the subtraction, each can be reversed (2 - 6 ...... 3 -5 ...... etc.)
Answer:
2 and 3 is the answer we know it right
explain the relationship between a strategy such as number sense and a written method such as partial products or area models for multiplying decimal numbers
The relationship between strategy and written method in mathematics is that;
Strategies can be changed or modified whereas written methods cannot be changed or modified because they have standards upon which such methods are based.
In mathematics, strategies are defined as the different ways in which a problem can be approached. For example;A student wants to perform addition of 19 and 46.
He could add the number straight away by doing 19 + 46 = 65or he can
take away 1 from 46 to become 45 and add that 1 to 19 to become 20 and
then sum 45 and 20 together as 20 + 45 = 65.
So we can see that the two strategies used to add 19 and 46 gave the same result.
In contrast, when dealing with written methods like partial products one cannot use any other method apart from that stated in the written method.For example, we want to use partial products to multiply 13 x 52.
The solution would become (10 × 50) + (10 × 2) + (3 × 50) + (3 × 2) = 676.
In this method, there cannot be another way used as the standard for using partial products is written and fixed.
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How do you do this question?
Answers:
[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]
Based on the limit comparison test, the series is convergent
========================================================
Explanation:
As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.
In other words,
[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]
That -2 doesn't really play a role when n gets very large.
This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.
So,
[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]
[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]
Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.
----------------------------
If we plug n = 2 into the [tex]b_n[/tex] sequence, we get
[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]
The first term is a = 1/9
If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]
This shows that the common ratio is r = 1/3
Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.
Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.
We've shown that the b series converges, so the 'a' series must converge as well.
John had a baseball cards until he gave x cards away. How many cards does he have now?
Answer:
I don’t think the question makes sense
Deandre pays $15.20 for a pack of 8 towels.
Find the unit price in dollars per towel.
If necessary, round your answer to the nearest cent.
Please help
Answer: Each towel costs $1.90
Step-by-step explanation:
$15.20 divided by 8 = $1.90
I don’t understand what this means
Answer:
This means that if you have that amount of those and you do whatever the rest of the question is.
Step-by-step explanation:
Answer:
120 different ways
Step-by-step explanation:
So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.
To do that, we have to split into sets.
Set A: 4 Theme Parks
Set B: 6 Passes
Set C: 5 Food Options
Now we have to multiply the sets.
4 x 6 x 5 = 120
Therefore, the answer is 120 different ways.
3.A normal bus carries x passengers.
A large bus will carry twice as many passengers than the normal bus
A small bus will carry 8 passengers less than the normal bus.
Altogether the buses carry 128 passengers.
(a) Form a simplified equation in terms of x
Answer: A) 4x -8 = 128
Step-by-step explanation:
We will represent the amount that the normal bus carries by n= x
We will represent the amount that the large bus carries by l = 2x
We will also represent the amount that the small bus carries by s = x-8
Now add them to equal to 128.
x + 2x + x -8 = 128
4x -8 = 128
HELP ME PLS ITS DUE TODAY :((
Answer:
3 8
18 48
22.5 60
27 72
Step-by-step explanation:
3:8 ratio
18/3=6
8*6=48
Answer:
48
60
72
Step-by-step explanation:
1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.
2. Equation: 3*?=8, ? = 8/3
3. Multiply all of the other numbers by 8/3 to get the answers.
4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.
Answers: 48, 60, 72
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options
Answer:
the answer is 2,3,and 5
Step-by-step explanation:
Answer:
2, 3, and 5
Step-by-step explanation:
PLSSSS HELLPPPP MEEEEEEE ASAPPPP I WIILL GIVE BRAINLIEST!!!!!!!!! PLS SHOW WORK STEP BY STEP
Answer:
y = -3x + 3
Step-by-step explanation:
Slope = -3
y-intercept = 3
Substitute values into slope intercept form :
y=mx + b
Where :
m= Slope
b = y-intercept
[tex]y = - 3x + 3[/tex]
write an equation that represent the table
Answer:
y equals 5x + 20
Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?
Answer:
<3, <2 or <6
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
i had it in usatestprep
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
Which two numbers add to -10 and multiply to 9
Answer:
The two numbers are negative 1 and negative 9 which is -1 and -9
Find the distance between each pair of points in the coordinate plane.
(3,-2) and (2,-1)
Answer:
1.41
Step-by-step explanation:
if you can help i’d appreciate it
Answer:
B- 44
Step-by-step explanation:
87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.
hope this helped! -brooke :))
Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=High, M=Medium, and L=Low. Complete parts a and b below.
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
Required:
a. Using technology, construct a regression model using all three independent variables.
b. Complete the regression equation for the model below, where x3 represents the dummy variable Cond1, and x4 represents the dummy variable Cond2.
y= ____ + (____)x2+ (____)x3 + (____)x4
Answer:
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
Step-by-step explanation:
y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M
For regression analysis : all variables must be quantitative ;
X3 variable may be represented as thus;
L = 1 ; M = 2 ; H = 3
Hence ;
X3 = 3 3 1 2 1 2 1 1 2
y= ____ + (____)x2+ (____)x3 + (____)x4
Using the online multiple regression calculator :
Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4
From the general formular of a linear model:
y = w1x1 + w2x2 +... + wnxn + c = 0
Where c = intercept
w1,.. wn = weight of explanatory variable
Hence, the weights of x2 = 0.2068
Weight of x3 = 0.7995
Weight of x4 = - 3.607
Intercept = 6.6406
-7+8
what is negative 7 plus 8?
Answer:
1
Step-by-step explanation:
You could have just used a calculator tard lol
Answer:
1
Step-by-step explanation:
-7 +8=1 cause you have 1 positive left over
Human hair has an average diameter of about 0.000017 meters. Write this measurement in scientific notation
Answer:1.7 x 10 ^ -5
Step-by-step explanation:
Answer:1.7 x 10-5
hope this helps
Write the decimal represented by each shaded square.
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The decimal would be .70 because there's 70 squares that are shaded.
Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.
Answer:
FV= $5,325.8
Step-by-step explanation:
Giving the following information:
Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.
To calculate the future value, we need to use the following formula:
FV= (P*r*t) + P
P= $5,000
r= 0.0434/12= 0.00362
t= 18
FV= [(5,000*0.00362)*18] + 5,000
FV= $5,325.8
The value of the CD at the end of its term is $39,060
Given:
Time = 18 month
Principal = $5000
Interest rate = 434%
Future value = ?
Future value = Principal × Rate × Time
= 5,000 × 434% × 18
= 5000 × 434/100 × 18
= 5000 × 4.34 × 18
= 39,060
Therefore, the value of the CD at the end of its term is $39,060
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plssssssssssssssssssssssss help for test
Your math class is collecting canned food for a local food drive. The goal is to collect at least 130 cans but no more than 250 cans due to space limitations. There are 24 students in your math class and your teacher has promised to bring in 10 cans. Select which inequalities represent the possible numbers n of cans that each student should bring in.
the first thing we must do is define variables.
We have then:
n: number of cans that each student must bring.
We know that:
The teacher will bring 5 cans
There are 20 students in the class
At least 105 cans must be brought, but no more than 205 cans
Therefore the inequation of the problem is given by:
105 < 20n + 5 <205
Answer:
the possible numbers n of cans that each student should bring in is: 105 < 20n + 5 < 205
Solve the literal equation xy - 4xz = 5 for x.
X=
Answer:
x = 5/(-4 z + y)
Step-by-step explanation:
Solve for x:
x y - 4 x z = 5
Hint: | Write the linear polynomial on the left-hand side in standard form.
Collect in terms of x:
x (-4 z + y) = 5
Hint: | Solve for x.
Divide both sides by -4 z + y:
Answer: x = 5/(-4 z + y)
The length of a rectangle is 4 more than the width. The area is 357 square centimeters.
Find the length and width of the rectangle
Answer:
17*21 = 357
Step-by-step explanation:
Firstly, set up your equation.
x*(x+4)=357
Multiply X by (x+4)
x^2+4x=357
You then subtract 357 from both sides
x^2+4x-357=0
Simplify using the quadratic formula shown, if you need assistance on solving this equation put it into a online calculator, or photomath as it shows the steps taken to solve it.
[tex]\frac{-4+\sqrt{4^2-4\cdot \:1\cdot \left(-357\right)}}{2\cdot \:1}\\[/tex]
Can you guys help me with finding the answer to this?
- Karan has n chocolates. He gave his younger brother 5 chocolates and distributed the remaining is
equally between his friend and himself. How many chocolate did his friend get in terms of n?
Answer:
4 chocolates
Step-by-step explanation:
n-c
brother-5n
5n-n=4
=4
My question is
4(2 - W) + w = 20
Answer:
- 4
Step-by-step explanation:
Step 1:
4 ( 2 - w ) + w = 20 Equation
Step 2:
8 - 4w + w = 20 Multiply
Step 3:
8 - 3w = 20 Combine Like Terms
Step 4:
- 3w = 12 Subtract 8 on both sides
Answer:
w = - 4
Hope This Helps :)
Answer:
w = -4
Step-by-step explanation:
4(2 - W) + w = 20
Distribute:
8 - 4w + w = 20
Subtract 8 from both sides:
-4w + w = 12
Simplify:
-3w = 12
Divide:
w = -4
Double check your work by substitution:
4(2 - W) + w = 20
4(2 - (-4)) + (-4) = 20
4(6) + (-4) = 20
24 + (-4)= 20
20 = 20
Since we know that 20 does equal 20, we can conclude that the final answer is:
w = -4
The formula κ(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. f(x)=−5x2 The curvature function is κ(x)=nothing.
Answer:
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
Step-by-step explanation:
considering the Given function
F(x) = [tex]-5x^2[/tex]
first Determine the value of F'(x)
F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]
F'(x) = -10x
next we Determine the value of F"(x)
F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]
F" (x) = -10
To find the curvature function we have to insert the values above into the given formula
K(x) [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]
K(x) = [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex] ( curvature function)
Properties of the normal distribution include?
Answer:
Properties of a normal distribution
The mean, mode and median are all equal.
The curve is symmetric at the center (i.e. around the mean, μ).
Exactly half of the values are to the left of center and exactly half the values are to the right.
The total area under the curve is 1.
Step-by-step explanation:
The solution is , given below.
What is normal distribution?A normal distribution is a type of continuous probability distribution in which most data points cluster toward the middle of the range, while the rest taper off symmetrically toward either extreme. The middle of the range is also known as the mean of the distribution.
here, we have,
Properties of a normal distributionThe mean, mode and median are all equal.The curve is symmetric at the center (i.e. around the mean, μ).Exactly half of the values are to the left of center and exactly half the values are to the right.The total area under the curve is 1.To learn more on normal distribution click:
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Find the volume of the solid under the plane 3x + 5y − z = 0 and above the region bounded by y = x and y = x4.
Answer:
13/18
Step-by-step explanation:
See attachment
please help
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2
Answer:-1.2 Degree Fahrenheit.
Step-by-step explanation:
Since,
The average daily changes, total changes/number of days
Here,
The total changes = - 16.8° F ( - sign shows the decreasing )
And, the number of days = 14
Hence,
⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.
-16.8 / 14 = - 1.2 per day