At the toll booth, the chance that a driver has exact change is 1/4, independent of vehicle. Find the probability that no vehicle has exact change in the first 10 minutes.
Answer:
g
Step-by-step explanation:
b
Which of the following functions represent exponential growth?
Which of the following functions represent exponential decay?
9514 1404 393
Answer:
1. a, b, c - represent growth
2. b, c, d - represent decay
Step-by-step explanation:
If increasing x results in a larger value, the function represents growth. If it results in a smaller value, the function represents decay.
__
To answer these questions, you can look at the base and the exponent. When we say "exponent" here, we mean the coefficient of the exponent variable. There are four possibilities:
growth:
exponent positive, base > 1exponent negative, base < 1decay:
exponent positive, base < 1exponent negative, base > 1__
Growth questions:
1.77^x -- growth
1.5^(x/2) -- growth
0.5^(-x) -- growth (= 2^x)
e^(-t) -- decay (e ≈ 2.718)
Decay questions:
1.7^x -- growth
1.7^(-2x) -- decay
(1/3)^x -- decay (= 3^(-x))
2^(-x) -- decay
b.) -1, 6, -36, ....
PUT THE NUMBERS IN ORDER FROM LEAST TO GREATEST.
-29/5^2
(1, 2.5)
4,21
5.5
6
9
DONT SKIP ILL GIVE 40 POINTS.!!!
Answer:
boop
Step-by-step explanation:
The product of-9/4 with another number is 7/3.what is the other number
Answer:
Step-by-step explanation:
(-9/4)x = 7/3
x = (7/3) · (-4/9) = -28/27
Complete each equation so that it is true for no values of x.
x - 2 = -(__- x)
nswer:
(x +5)^2 = -2
Step-by-step explanation: w t f
We can subtract the constant to get ...
x^2 +10x = -27
Then add the square of half the x-coefficient:
x^2 +10x +5^2 = -27 +5^2
(x +5)^2 = -2 . . . . . . write as a square
digits to write the value of the 5 in this number.587,096
Answer: what does the question even mean
Step-by-step explanation:
7. If AJKL - ANMP, find the value of x.
P x +5 N
49
14
M
J 9x + 1 L
Answer:
Since they are similar their sides are corresponding,
9x + 1 / x + 5 = 49 / 14
or, 14 ( 9x + 1 ) = 49 ( x + 5 ) { cross multiply}
or, 126x + 14 = 49x + 245
or, 77x = 231
or, x = 231/77
or, x = 3
Hope it helped
ALL THE BEST!!
( Hope u will mark me brainliest )
please help ASAP I'll make brainleist
Answer:
D. k= g -3
Step-by-step explanation:
Flip the equation
g−3=k
then Add 3 to both sides
g−3+3=k+3
Jack did 3/5 of the problems on his weekend homework before Sunday. On Sunday, he solved 1/3 of what was left and the last 4 problems. How many problems were assigned for the weekend?
Answer:
15 problems were assigned for the weekend.
Step-by-step explanation:
Let x denote the number of problems assigned for the weekend.
Before Sunday, he did 3/5 of the problems, so he is left with (1-3/5)x = 2/5 x of the problems.
On Sunday, he solved 1/3 of what was left of the problems, so he is left with (1 - 1/3)(2/5 x) = (2/3) * (2/5) x = 4/15 x problems.
4/15 x equals 4 because those were the last remaining problems, so we can solve for x:
[tex]\frac{4}{15}x=4\\x = 4 \cdot \frac{15}{4} = 15[/tex]
So 15 problems were assigned for the weekend.
What’s the total area of a rectangular prism with a height of 17 feet, a width of 12feet, and a thickness of 10feet?
Answer:
988 feet________________
Lonnie plans to join the gym. He must pay a $35 membership fee. He will
then pay $5 each month. What is the slope?
Answer:
5
Step-by-step explanation:
The slope will be the constant amount that the cost increases by each month.
In this situation, 5 is the slope, because he has to pay $5 each month.
35 is not the slope, and is instead the y intercept. This is because this is the cost at 0 months, since it is the membership fee.
So, the correct answer is 5.
Factor -7x^3+21x^2+3x-9 by grouping what is the resulting expression
Answer:
Step-by-step explanation:
You want to group things that can actually be factored. You dont want to group -7x^3 and -9 because that would just be a mess and wouldnt give you the right answer.
[tex](-7x^3+21x^2)+(3x-9)\\-7x^2(x-3)+3(x-3)\\(-7x^2+3)(x-3)[/tex]
which equation shows that 9 is a factor of 72
Answer:
Step-by-step explanation:
Approximately__ tons of LNG will be produced in may, and approximately 104,489 tons will be produced in___
Help plz :,)
Answer:
Step-by-step explanation:
For all Plato users
Approximately 94437.825 tons of LNG will be produced in May, and approximately 104,489 tons will be produced in October month.
Given that, the production of LNG by an energy company increases by 1.7% each month.
How to find the percentage of the number?Convert the problem to an equation using the percentage formula: P% * X = Y.
Production in April month=91,307+1.7% of 91,307
=91,307+1.7% ×91,307
=92,859.219 tons
Production in May month=92,859.219×(1+1.7%)
=94437.825 tons
Production in June month=94437.825×(1+1.7%)=96,043 tons
Production in July month=96,043×(1+1.7%)=97,676 tons
Production in August month=97,676×(1+1.7%)=99,336.49 tons
Production in September month=99,336.49×(1+1.7%)=1,01,025.21 tons
Production in October month=1,01,025.21×(1+1.7%)=1,04,489 tons
94437.825 tons of LNG will be produced in May, and 104,489 tons will be produced in October month.
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Please help.
Find the value of x
Answer:
X=130
Step-by-step explanation:
because 180-50=130
trust me this is the correct answer
Sam scored 17 out of 20 in her test, her % score is...... what A 17% B 85% C 80% D 0.85%
Answer:
the answer is 85%
Step-by-step explanation:
To find the percentage you will divide:
17 divided by 20 = o.85
Answer:
B. 85%
Step-by-step explanation:
in order to find out her percentage, you want to do 17/20
the reason we do 17/20 and not 20/17 is because 20/17 gives you 1.1, which is both not an option and does not make logical sense
17/20 = 0.85
in order to make this a percentage, multiply 0.85 by 100
0.85 x 100 = 85
so your answer is 85%, or B
Explain each nature of mathematics in your own undertanding.
A science of measures-
An intellectual game-
The art of drawing conclusions-
A tool subject-
A system of logical procedures-
An intuitive method
Answer:
Each nature of mathematics in my own understanding is written below in complete detail.
Step-by-step explanation:
Now, much more than geometry and arithmetic, mathematics now is a distinct system that compromises with data, computations, and pronouncements from science; with reasoning, inference, and proof; and with mathematical principles of natural appearances, of human response, a system of logical procedures and social systems.
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:
Bobby decides to sell lemonade on a hot summer day. If Bobby sells 20 glasses of lemonade for $2.00 per cup, and his average total cost is $1.70, what are Bobby's economic profits for the day?
Bobby's economic profit for the day is $6.
Bobby's economic profit is total revenue less total cost.
Economic profit = total revenue - total cost
Total revenue = price x glasses of lemonade sold
20 x $2 = $40
Total cost = average total cost x glasses of lemonade sold
$1.70 x 20 = $34
Economic profit = $40 - $34 = $6.
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1.)
Line up the numbers in the table.
Then order the numbers from least to
greatest
A= 4.28
B = 4.03
C = 4.4
D= 4.74
Write the letters in order to make the sentence true.
Answer:
the answer is c=4.4
Step-by-step explanation:
use books
Sam puts $500 in the bank and does not put any more money in or take any out for elght years. He receives 6% Interest
yearly, compounded semi-annually. How much money will be in the account after elght years?
O $793.44
$796.92
O $800.52
O $802.36
Answer:
$793.44
Step-by-step explanation:
Which expression is equivalent to 4(3x + 2y) + 5(2x – 4y)?
A 222 - 12y
B 14.2 - 9y C 22x – 2y D 172 4y
Answer:
22x-12y
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THANK YOU.
Find all real square roots of -36
Answer:
The answer is ±6.
Step-by-step explanation:
The positive and negative square roots of 36 are 6. and −6. Both 6, and −6 are square roots of 36 since they both give 36 when squared:...
6^2=6×6=36
(−6)2=(−6)×(−6)=36
All positive real numbers have a positive and negative real square root which are additive inverses of one another.
The principal square root is the positive one and is the one meant when we use the √... symbol. So:...
√36=6
If we want to refer to the negative square root, then just put a minus sign in front:...
−√36=−6
The two square roots of -36 are 6i and -6i, where i is the imaginary unit.
What is Number system?A number system is defined as a system of writing to express numbers.
Since the square of any real number is always non-negative, there is no real number whose square is equal to a negative number.
Therefore, the expression √(-36) has no real square roots.
However, we can express the square root of -36 using imaginary numbers.
By definition, the imaginary unit "i" is equal to the square root of -1. Using this definition, we can rewrite √(-36) as:
√(-36) = √(36) × √(-1) = 6i
Therefore, the two square roots of -36 are 6i and -6i, where i is the imaginary unit.
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Mr. Barrientos can run 2 ½ miles in 2 hours. How many miles can he run in 6 hours? Show your work.
Answer:
7 1/2 miles
Step-by-step explanation:
Hair colors are an example of which type of data?
Answer:
Nominal data are used to label variables without any quantitative value. Common examples include male/female (albeit somewhat outdated), hair color, nationalities, names of people, and so on. In plain English: basically, they're labels (and nominal comes from "name" to help you remember). You have brown hair (or brown eyes).
X + Y = 2. y =2x + 5 write the solution as a ordered pair
Answer:
(-1, -2)
x=-1
y=-2
Step-by-step explanation:
x+y=2
y=2x
Knowing this information, we can substitute y for 2x+5 in the first equation.
x+2x+5=2
3x+5=2
3x=-3
x=-1
Now, plug x into the second equation.
y=2(-1)
y=-2
In a shop for every pant there are 3 shirts and for every 9 shirts there are 27 pairs of shoes. Express the ratio of pants to shirts to shoes in the shop.
Answer:
1 : 3 : 9
Step-by-step explanation:
For every Pant = 3 shirts
If
Pant = x ; shirt = 3x
For :
Every 9 shirts = 27 pairs of shoes
Simplifying further :
1 shirt = 3 pairs of shoes
3 shirts = 3 * 3 = 9 pairs of shoes
Expressing as ratio:
1 Pant = 3 shirts = 9 pairs of shoes
1 : 3 : 9
The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the coupon book, the fare is reduced to $1.00. Determine the number of times in a month the bus can be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book
Answer:
56 = 56
Step-by-step explanation:
Given:
Bus fare = $2.00
coupon book = 28.00
bus fare w/ coupon book = $1.00
let x be the number of bus rides.
2.00x = 1.00x + 28.00
2.00x - 1.00x = 28.00
1x = 28.00
x = 28.00
24 bus rides for both to have the same cost.
2.00x = 1.00x + 28
2.00(28) = 1.00(28) + 28
56 = 28 + 28
56 = 56
Factorise
x^2 - 5x - 6
Answer:
(x+1)(x-6)
thats the ans :)