solve the inequality. Graph the solution on a number line. 7<_2
Elijah invested $280 in an account paying an interest rate of 2.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $360?
Answer: 12
Step-by-step explanation:
A light bulb consumes 1800 watt-hour per day. How long does it take to consume 8550 watt-hours
Answer:
4 hours and 45 minutes
Step-by-step explanation:
8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes
Last season Sarah was up to bat 48 times,and got 16 hits.what is the simplified ratio of Sara's hits to Sara's hits to Sara's at-bats
Answer:
48:16 ---> 3:1
Step-by-step explanation:
48 and 16 can both be divided by 4 which makes it 12:4 but that can still be reduced which would make it 3:1
When the radius of a sphene is doubled what is the resulting change in volume?
Answer:
3rd power
Step-by-step explanation:
When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.
Glad I could help (Maybe)
Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by f(x) = −x + 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents. (10 points)
Answer:
(1, 5)Step-by-step explanation:
Both of the graphs include infinite number of points.
The solution is the common point that belongs to both of the graphs, the intersection point.
We can see it is the point (1, 5)
This is the point when the temperature change is positive 1 degree. At this point number of visitors is equal to number of those leaving the part early.
Math nerds help me out
Answer:
the 3rd one
y= (x-1)(x-6)
Step-by-step explanation:
Answer:
y=(x-1)(x-6)
Step-by-step explanation:
from the factorised form (x-1)(x-6) we can easily derive the roots of 1 and 6
it crosses the x axes on the roots, which happens at 1 and 6 on the graph
You are checking a bag at the airport. Your bag weighs 16 pounds plus 2 more pounds for each souvenir you add. How many souvenirs can you add if bags can weigh no more than 50 pounds?
Answer:
16
Step-by-step explanation:
50 - 16 = 34
34 / 2 = 17
34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.
Quick check:
34 + 16 = 50
Hope this helps!
Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?
2.75 packs
Step-by-step explanation:
11 packs ÷4 gardens =2.75 packs per garden
how to do i need help solve
Answer:
51 cm^2
Step-by-step explanation:
We need to make this into pices that we can multiply to get are, luckily we have 2 parts we can seperate.
We can divide this into 2 shapes 9 by 4, and 3 by 5. all we need to do now is 9*4 + 3*5 to get 51 cm^2
PLS HELP
What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet
Answer:
21 feet
Explanation:
Using pythagorean theorem to find the length of the added length of the bottom.
A^2+B^2=C^2 or 4^2+B^2=5^2 or 16+B^2=25
25-16=9 so B^2 is 9 and the square root of that is 3 so B is 3. Then you add 15+3+3 to get 21.
Ples help me
IF its wrong i will report u
ill give you the best if it right and who ever is first.
Answer:
A, B, and D are equal to 75%
Step-by-step explanation:
Hope it helps!
Answer:
B., A. and D.
Because they all equal 75%!
y=3x/5-6 in standard form
Answer:
The standard form is 3x-5y-30=0
316.1 -
is about 300. Which decimal, rounded to the nearest whole number, makes the equation true?
O
A. 31.6
B. 15.7
C. 6.1
D.3.16
Answer:
c
Step-by-step explanation:
f(x) =
2x2 + 4x – 3
- 22 – 5x – 2
Find f'(x) and f''(a).
f'(x) =
PENER
-
SURRETH
HER
f''(x) =
THE
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
__
f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
__
Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
What is the value of the digit 9 in 71.92
Answer:
.90
Step-by-step explanation:
?
1 3/4 + 1/6 + x = 7 1/2
Find slope of the line if it is defined through (5,10) and (5,-6)
Answer:
Undefined
Step-by-step explanation:
The slope is undefined as both points have the same x value.
Answer:
Undefined
Step-by-step explanation:
5 , 10
5 +0 = 5 <-- 5 , -6 <-- 10 - 16 = -6
m = [tex]\frac{y}{x}[/tex]
m = [tex]\frac{-16}{0}[/tex] <-- Doesn't sense. So the slope will be undefined
write the first six terms of the geometric sequence with the first term 6 and common ratio 1/3
Answer:
6, 2, 2/3, 2/9, 2/27, 2/81
Step-by-step explanation:
The nth term of a geometric progression is expressed as;
Tn = ar^n-1
a is the first term
n is the number of terms
r is the common ratio
Given
a = 6
r = 1/3
when n = 1
T1 = 6(1/3)^1-1
T1 = 6(1/3)^0
T1 = 6
when n = 2
T2= 6(1/3)^2-1
T2= 6(1/3)^1
T2 = 2
when n = 3
T3 = 6(1/3)^3-1
T3= 6(1/3)^2
T3= 6 * 1/9
T3 = 2/3
when n = 4
T4 = 6(1/3)^4-1
T4= 6(1/3)^3
T4= 6 * 1/27
T4 = 2/9
when n = 5
T5 = 6(1/3)^5-1
T5= 6(1/3)^4
T5= 6 * 1/81
T5 = 2/27
when n = 6
T6 = 6(1/3)^6-1
T6= 6(1/3)^5
T6= 6 * 1/243
T6 = 2/81
Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81
If a number is decreased by 19 the result is -15 What is the number?
Answer:4
Step-by-step explanation:
In a first-aid kit the ratio of large bandages to
small bandages is 5 to 3. Based on this ratio,
how many large bandages are in the kit if there
are a total of 80 bandages?
A. 50
B. 48
C. 16
D. 40
Simplify 7-(3x+5y)+6(2x-3y)+8y
Answer:
Step-by-step explanation:
First get rid of the parentheses. Distribute the - sign and the +6 to each one.
[tex]7-3x-5y+12x-18y+8y\\7+9x-5y-18y+8y\\7+9x-15y[/tex]
How many times smaller will a number become if is it decreased by 20%?
Answer:
Step-by-step explanation:
I'm unsure why my answer was deleted, randomly deleted a thoroughly explained answer.
20% is 20/100, 1/5, or 0.2
The number will decrease by a factor of 5.
Answer:1.25
Step-by-step explanation: for example 100 decreased by 20 percent is 80 so 100 divided by 80 is 1.25
What is the coefficient of the term 12p+9q
Answer:
The answer is 12.
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
I hope this helps u! :D
Ralph Chase plans to sell a piece of property for $150000. He wants the money to be paid off in two ways a - short-term note at 11% interest and a long-term note at 8% interest. Find the amount of each note if the total annual interest paid is $15200
.
Answer:
Amount on 11% note = $106,666.67
Amount on 8% note = $43,333.33
Step-by-step explanation:
Let the amount for the short-term note at 11% interest be x.
Thus, the amount for the short-term note at 8% interest will be (150000 - x)
Now we are told that the total interest paid is $15,200.
Thus;
0.11x + 0.08(150000 - x) = 15200
0.11x + 12000 - 0.08x = 15200
Rearranging gives;
0.03x = 15200 - 12000
0.03x = 3200
x = 3200/0.03
x = $106666.67
Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33
PLEASE HELPP!!
So frustrated does evaluate mean to find the value? So confused.
Answer:
yes it does
a. 27
b. -32
Step-by-step explanation:
a. 3 times 3 times 3 = 27
b. -2 times -2 times -2 times -2 times -2= -32
hope this helps!!
n=7, x=4, p=0.45, find p4
Answer:
1.8
Step-by-step explanation:
All you need to do is use substitution....
p4
They gave us the value of p and it is 0.45, now we need to substitute it, into the expression to find the value
p4 = (0.45)4
0.45 * 4 = 1.8
so p4 = 1.8
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Help plz I don’t know the answer!!
Answer:201 11/21
Step-by-step explanation:
The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.
The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:
4232 divided by 21, often written as 4232/21.
Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:
4232 divided by 21 = 201.523809
The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .
4232 divided by 21 in decimal = 201.523809
4232 divided by 21 in fraction = 4232/21
4232 divided by 21 in percentage = 20152.38095238%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.
Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
write what mixed number you got
Answer:
1 1/2 cups
Step-by-step explanation:
A ratio of two numbers a/b, where b is no zero
[tex]{ \large{ \red{{\green{✮}} \: \: \sf{A \: \: number \: \: in \: \: the \: \: form \: \: of \: \:{\pink{ \frac{a}{b} \: \: where \: \: b≠0 }}\: \:{\orange{ is \: \: called \: \: a }}\: \: { \blue{ \underline{ \underline{ \tt{Rational \: \: Number}.}}}}}}}}[/tex]