Answer:it got colder by more than 2 degrees
Answer:
well It would have been a change of -5ºF
Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the following exercise. Find the following sums without using a calculator or a formula. Hint: Apply the procedure used by Gauss. (See the Math Matters on page 31.) (a) 1 + 2 + 3 + 4 + . . . + 397 + 398 + 399 + 400 (b) 1 + 2 + 3 + 4 + . . . + 542 + 543 + 544 + 545 (c) 2 + 4 + 6 + 8 + . . . + 72 + 74 + 76 + 78
John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?
Answer:
The number of years needed is 15.75 years.
Step-by-step explanation:
The investment amount (present value) = $200
Interest rate =4.5%
Double of investment = $400
Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.
Future value = present value ×(1+interest rate)^n
400 = 200×(1+4.5%)^n
N = 15.75 years
The number of years required to double the amount is 15.75 years.
I am a real number I am a rational number I am not a natural number I am less than -13 what number am I
Answer:
Any number less than -13.
Step-by-step explanation:
If the number is real and rational and non-natural, this means that it can be any number in the negative number space.
Additionally, since the number has to be less than -13, then the number could be any number less than -13.
With all these things considered, the number is any number less than -13 that is real and rational.
Cheers.
Which of the following fractions is greater than 2/5 and less than 3/5 ?
Answer:the answer would be 2.5/5
Which is the graph of y<2x-1
Answer:
the last one is the only one with a y intercept of -1
Step-by-step explanation:
Paul says that in the number 6,367, one 6 is 10 times as great as the other 6. Is he correct?
Answer:
Yes
Step-by-step explanation:
6,000 is 10 times greater than 60
Factor completely 4x^4− 20x^3 + 12x^2
Answer:
Step-by-step explanation:
4x^2(x^2 - 5x + 6)
4x^2(x - 3)(x - 2)
Jamie is sewing her own dress for the school dance. She bought 2 1/4 yards of fabric. The total cost was $10. What was the cost per yard?
Answer:
$4.44
Step-by-step explanation:
Cost per yard = $10/2.25
= $4.44 (nearest cent)
the answer $ 4.44
explanation :
so first of all you need to divide 10 by 2 1/4
when you divide both number you'll get 4 4/9
4 4/9 can also be written as 4.44444444444
which is also 4.4 recurring
now we can round this off
when you round it off, you should round it off to two decimal points cause the answer should be in dollars
you should get 4.44 as an answer
so the answer will be $ 4.44
really hope that helped :)
David noticed that locker 49 was changed exactly 3 times it was opened by Student one closed by student seven and open my Student 49 what other lockers were changed exactly 3 times what is the relationship between these numbers
Answer:
The other lockers that were changed exactly 3 times are:
Locker 1 and Locker 7
Step-by-step explanation:
Question: What other lockers were changed exactly 3 times?
Answer: Lockers 1 and 7
How?
Locker 1 was opened by a student other than student 1; it was closed by a student other than student one; and it was opened by student 1.
Same happened with Locker 7.
The relationship between these numbers is an associative relationship.
A tire shop had to fill 3 1/2 tires with air. It took a small air
compressor 3 3/5 seconds to fill them up. How long would it take to fill 3 tires?
Answer: 3 seconds
Step-by-step explanation: the pump fills 1 tire per second
Simplify: 2 + 7(1 - 3x)
2 + 14x
16x
9-27x
9 - 21x
Answer:
9 - 21x
Step-by-step explanation:
Simplify the following:
7 (1 - 3 x) + 2
Hint: | Distribute 7 over 1 - 3 x.
7 (1 - 3 x) = 7 - 21 x:
7 - 21 x + 2
Hint: | Add the numbers in -21 x + 2 + 7 together.
Add like terms. 2 + 7 = 9:
9 - 21 x
Hint: | Factor out the greatest common divisor of the coefficients of 9 - 21 x.
Factor 3 out of 9 - 21 x:
Answer: 3 (3 - 7 x)
(of the given solutions it's the only correct one, but can be further simplifued to 3 (3 - 7 x)
*BRAINLIEST* The lines below are parallel. If the slope of the green line is 8/5, what is the slope of the red line?
Any two parallel lines always have the same slope (but different y intercepts)
The equation of the green line is y = (8/5)x+6
The equation of the red line is y = (8/5)x-3
Slope intercept form is y = mx+b with m as the slope and b as the y intercept.
The slopes must be the same so that each time the line goes up some amount, we move to the right the same amount. Think of a set of stairs to possibly visualize what I mean. If the slopes are different (even slightly), then the lines will intersect at some point and we wouldn't have parallel lines.
What is the value of the 5 in the number 975,178
Answer:
thousands place
Step-by-step explanation:
Unit rate for 150 students in 3 classes.
Answer:
Step-by-step explanation:
150 students/3 classes= 50 students per class
Given segment AB with points (-4, 8) and (6, 3) respectively. Find the coordinates of point P that partitions Segment AB in the ratio 3:2. The answer should be entered in the form (x,y) with out any spaces between characters.
Answer:
The coordinates of point P are (2,5)
Step-by-step explanation:
We know that point P divides AB internally in the ratio 3:2, that is AP/PB = 3/2,
we thus use the formula for internal division.
Let A = (x₁, y₁) = (-4, 8), B = (x₂, y₂) = (6, 3) and P = (x, y)
So x = (mx₂ + nx₁)/(m + n)
y = (my₂ + ny₁)/(m + n)
where m = 3 and n = 2
Substituting the values of the x coordinates of A and B into x, we have
x = (mx₂ + nx₁)/(m + n)
x = (3 × 6 + 2 × (-4))/(3 + 2)
x = (18 - 8)/5
x = 10/5
x = 2
Substituting the values of the y coordinates of A and B into y, we have
y = (my₂ + ny₁)/(m + n)
y = (3 × 3 + 2 × 8)/(3 + 2)
y = (9 + 16)/5
y = 25/5
y = 5
Therefore, the coordinates of point P are (2,5)
in 1971 the us dollar became part of the total fiat system meaning what?
Answer:
Step-by-step explanation:
Avni designs a game in which a player either wins or loses 4 points during each turn. Which equation
represents all numbers of points, p, a player may have after his or her first turn of the game?
O p = 4
O p = -4
O pl = 4
Op = -4
Answer:
Equation to represent all number of points = |4|
Step-by-step explanation:
We are told that a player either wins or loses 4 points during each turn. This means a player could either gain 4 points or loose 4 points. When writing this in Mathematical terms its means either -4 or +4.
Now, since possible number of turns is -4 or 4, then we can represent this with the absolute value symbol.
Thus, it's |4|
Give the Domain and Range of H={(-2,-3),(5,9),(5,-2)}
Write your answer using set notations
The domain is the set of possible x values or inputs. We list each unique x value once (ignoring any repeats)
The range is the set of possible y outputs. Convention is to sort the values from smallest to largest.
This relation is not a function because the x value x = 5 corresponds to multiple y values.
If for two non-zero vectors a,b : ∣a+b∣=∣a−b∣ then angle between them is:______a. 0b. 45c. 60d. 90
Answer:
[tex]90^\circ[/tex]
Step-by-step explanation:
Given two non zero vectors, [tex]\vec a, \vec b[/tex].
Let the angle between the two vectors = [tex]\theta[/tex]
Given that:
[tex]|\vec a+\vec b|=|\vec a-\vec b|[/tex]
Let us have a look at the formula for magnitude of addition of two vectors:
[tex]|\vec x+\vec y|=\sqrt{x^2+y^2+2xycos\theta}[/tex]
Where [tex]\theta[/tex] is the angle between the two vectors.
formula for magnitude of subtraction of two vectors:
[tex]|\vec x-\vec y|=\sqrt{x^2+y^2-2xycos\theta}[/tex]
As per the given condition:
[tex]\sqrt{a^2+b^2+2abcos\theta}=\sqrt{a^2+b^2-2abcos\theta}[/tex]
Squaring both sides:
[tex]a^2+b^2+2abcos\theta=a^2+b^2-2abcos\theta\\\Rightarrow 2abcos\theta=-2abcos\theta\\\Rightarrow cos\theta = -cos\theta\\\Rightarrow 2cos\theta = 0\\\Rightarrow cos\theta = 0\\\Rightarrow \theta = 90^\circ[/tex]
So, the angle between the two vectors is: [tex]90^\circ[/tex]
a turtle crawled at a speed of 1.2 meters per minute for nine minutes how far did the turtle crawl
Answer:
10.8 meters
Step-by-step explanation:
1.2 times 9 minutes= 10.8
Answer:
10.8 meters
Step-by-step explanation:
9 * 1.2 = 10.8
Someone help me please i attached a picture...
Answer:
the perimeter is 13yd + 13yd + 5yd +5yd = 36yd
the area is 5yd + 5yd = 10yd, 10yd × 12yd ÷ 2 = 60yd
According to the U.S. Census Bureau, as of April 1, 2000, the total population of the United States was about 3 x 10^8 . The population of Vermont was 6 × 10^5 . The population of the U.S. was how many times the population of Vermont in April of 2000?
2 times
500 times
1,000 times
50,000 times
Divide US population by Vermont :
3x 10^8 / 6x10^5
3/6 = 1/2 = 0.5
10^8 / 10^5 = 10^3
0.5 x 10^3 = 500
The answer is 500 times
All we need to do is divide.
3*10^8/6*10^5
0.5^8-5
0.5^3
500
Therefore, the answer is 500 times.
Best of Luck!
Which number is equivalent to
A 2
B 9
с
81
729
The answer would be
B. 9
(4³)² simplified can anyone help
Answer:
4096
Step-by-step explanation:
Answer:
4096
Step-by-step explanation:
4 to the third power is 64 and 64 to the 2nd power is 4096 so that should be your answer
If 1,000 gallons of oil cost $4,861, what is the cost of 35 gallons
Answer:
$170.14
Step-by-step explanation:
4,861 / 1,000 = $4.861 per gallon
35 x $4.681 = $170.135, so you need to round up to the nearest penny
Step-by-step explanation:
For 1000 gallons=$4861
For 1 gallon =$4861/1000
For 35 gallons=$4861/1000 x 35=170.135
Three and a half more than a number
Answer:
x + 3.5
Step-by-step explanation:
You are adding
hopefully this helps you:)
Which number is less than 8.3507
O A 8,503
OB. 8.305
O c. 8,530
D. 8.355
x2+9-8x in standard form
Answer:
x^2 - 8x + 9
Step-by-step explanation:
Please write x2+9-8x as x^2 + 9 - 8x. The " ^ " indicates exponentiation.
Next, please write x^2 + 9 - 8x in descending powers of x:
x^2 - 8x + 9
Evaluate a + b for a = -46 and b = 34.
Answer:
-12
Step-by-step explanation:
a + b
a = -46
b = 34
-46 + 34 = -12
Add 6 and 8 the add p
Answer:
Step-by-step explanation:
6 + 8 + p = 14 + p
Answer: 14+p
Step-by-step explanation: We have to add these numbers-
6 + 8 + p
14+p
(Since we don't know the value of p this is how far we can simplify )