Answer:
log(5)= 0.699
Answer:
Step-by-step explanation:
0.7925
Water flows from a faucet into a bathtub at a constant rate of 2.5 gallons per minute. The bathtub initially has 5 gallon of water in it.
Complete question :
Water flows from a faucet into a bathtub at a constant rate of 2.5 gallons per minute. The bathtub initially has 5 gallon of water in it. Write a function to represent the situation.
Answer:
f(x) = 2.5x + 5
Step-by-step explanation:
A function which could be used to represent the situation is the slope - intercept function ;
The constant rate of water flow per minute could represent the slope of the function, which is the change in y per unit change in x ;
The intercept is the initial water level in the bath tub = 5 gallons
Slope intercept equation:
y = mx + c
m = slope ; c = intercept
The water in the bathtub as a function of x, number of minutes is ;
f(x) = 2.5x + 5
Decide whether each one of these sets of data is discrete or continuous.
a) the weight of a puppy
b) the number of puppies in a litter
c) a person's temperature
d) the dress sizes of women
Answer:
A set is continuos if the values of the set can be any value in the given ranges
A set is discrete if the values of the set are finite and separate.
Than:
a) The weight of a puppy.
The weight of a puppy can be any value between 0 kg and a given maximum weight, then this is a continuous set.
b) The number of puppies in a litter.
Here we can have only whole numbers, for example, we can not have 7.34321 puppies in the litter, so this is a discrete set.
c) A person's temperature.
Temperature can be any value in a given range, so this is a continuous set.
d) The dress sizes of women.
Normally, there is a given set of dress sizes like s, l, xl, etc.
So in general, this is a discrete set. (While the actual "size" of a dress can take a lot more values than those ones, but this still is a discrete set)
Rearrange the equation so b is the independent variable..
a – 7 = 3(b +2)
a =
Answer:
a = 3b+13
Step-by-step explanation:
Which of the following shows the extraneous solution to the logarithmic equation below?
2 log Subscript 5 Baseline (x + 1) = 2
x = negative 6
x = negative 4
x = negative 2
x = negative 1
Answer:
A.-6
Step-by-step explanation:
on edg
Answer:
A) -6
Step-by-step explanation:
(Unit 2 lesson 20). Solve the inequality 2x < 10.*
x < 10
O
x < 5
X = 5
O
X > 5
Answer:
x <5
Step-by-step explanation:
2x<10
Divide each side by 2
2x/2 <10/2
x <5
What does the value of the mean absolute deviation tell you about the spread of the data? HURRY PLEASE ILL GIVE 35 POINTS
Answer:
The Mean Absolute Deviation (MAD) of a set of data is the average distance between each data value and the mean. The mean absolute deviation is the "average" of the "positive distances" of each point from the mean. The larger the MAD, the greater variability there is in the data (the data is more spread out).
Step-by-step explanation:
2x + 3 > 13
Whats the answer plz help
Answer:
In this case, you can simply treat the > sign like an = sign. The only time you would need to worry about is when multiplying or dividing by negative numbers.
2x + 3 > 13
2x + 3 - 3 > 13 - 3
2x > 10
2x / 2 > 10 / 2
x > 5
Are vacuoles small or large? PLS HELP I NEED THIS ANSWER FAST!
Answer:
large
Step-by-step explanation:
is it hot or cold at the space
Answer:
it depends on lots of things such as the planet air sphere and even if its a planet or an asteroid because hot things moves quickly and cold things moves slowly.
space as space in general is above that at an average of 2.7 kelvin (about minus 455 degrees fahrenheit)
Factorise [(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2
Answer:
2(x+1)(x-1)
Step-by-step explanation:
Answer:
[tex]2(x+1)(x-1)[/tex]
Step-by-step explanation:
QUESTION :-
Factorise [tex][(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2[/tex]ALGEBRIC IDENTITIES USED IN THIS QUESTION :-
[tex](x + y)^2 = x^2 + y^2 + 2xy[/tex][tex](x-y)^2 = x^2 + y^2 - 2xy[/tex][tex]x^2 - y^2 = (x+y)(x-y)[/tex]PROCEDURE :-
[tex][(x + 1) + (x - 1)]^2 - (x - 1)^2 - (x + 1)^2[/tex]
[tex]=> [ x + 1 + x - 1]^2 - [(x-1)^2 + (x+1)^2][/tex]
[tex]=> [2x]^2 - [(x^2 + 1 - 2x )+(x^2 + 1 + 2x)][/tex]
[tex]=> 4x^2 - [x^2 + x^2 + 2x - 2x + 1 + 1][/tex]
[tex]=> 4x^2 - [2x^2 + 2][/tex]
[tex]=> 4x^2 - 2x^2 - 2[/tex]
[tex]=> 2x^2 - 2[/tex]
[tex]=> 2(x^2 - 1)[/tex]
[tex]=> 2(x^2 - 1^2)[/tex]
[tex]=> 2(x+1)(x-1)[/tex]
Will give brainliest!!!
What is m∠Q=?
What does m∠R=?
What is m∠S=?
Answer:
89°, 123°, 91°Step-by-step explanation:
Inscribed angle is half of the intercepted arc.
m∠Q = 1/2(mPS + mRS) = 1/2(41° + 137°) = 89°Opposite angles are supplementary.
Supplementary angles sum to 180°.
m∠R = 180° - m∠P = 180° - 57° = 123°m∠S = 180° - m∠Q = 180° - 89° = 91°Please Help! Brainliest Answer! Thank you
Answer:
Step-by-step explanation:
Since WV || XY, V and Y are same side int. angles
same side int angles add up to 180
V+Y=180
subst -> 60+V=180
V=120
Lydia invested $83,000 in an account paying an interest rate of 6.7% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $210,100?
Answer:
14
Step-by-step explanation:
The required time for Lydia's account to reach $210,100 is 13.9 years.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
First, convert R as a percent to r as a decimal
r = R/100
r = 6.7/100
r = 0.067 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.067/12)] )
t = ln(210,100/83,000) / ( 12 × [ln(1 + 0.0055)] )
t = 13.9 years
Thus, the required time for Lydia's account to reach $210,100 is 13.9 years.
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Simplify.
9y-2y
Hehhe can someone help me
what is the answer ????
Answer:
I think its joe
Step-by-step explanation:
c or b
The answer is c
Step-by-step explanation:
........
..........
..
.
.
Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. If you were to write an exponential decay function to represent this situation, what would the decay factor be?
Answer:
0.925 or 92.5%
Step-by-step explanation:
y=a(1-b)^x
decay factor is 1-b <- and the part we care about
b is 7.5%=0.075
1-0.075
=0.925
I'm a little rusty on exponential rates, but I hope this helps!
The decay factor for the car will be equal to 0.925 or 92.5%
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 x 2x 2 x 2=25 for the number 32. This phrase should be understood as "two to the fifth power."
Given that Ed's new car has a value of $23,500, it is expected to depreciate at a rate of 7.5% per year.
The decay factor will be calculated as,
[tex]y=a(1-b)^x[/tex]
b is 7.5%=0.075
Decay factor = 1-0.075
Decay factor = 0.925
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If there are 365 days in one year then how many days are there in 5 years?
Pls telll....
Sale! 60% OFF
of the original price!
The original price of an easel is $30. How much will Jamal pay if he buys it during the sale?
find the value of x.
Answer:
19 my friends
have a good day
Step-by-step explanation:
please help! Simplify the polonomial
Answer:
14[tex]s^{4}[/tex] - 7s² + 15
Step-by-step explanation:
Given
(12[tex]s^{4}[/tex] - 6s² + 4s) + (6[tex]s^{4}[/tex] - 4s + 27) - (4[tex]s^{4}[/tex] + s² + 12) ← distribute parenthesis
= 12[tex]s^{4}[/tex] - 6s² + 4s + 6[tex]s^{4}[/tex] - 4s + 27 - 4[tex]s^{4}[/tex] - s² - 12 ← collect like terms
= 14[tex]s^{4}[/tex] - 7s² + 15
A student is constructing a triangle with the following dimensions:
side length of 10 inches
side length of 30 inches
Which measurements could be the length of the third side? Select all that apply.
19 inches
21 inches
35 inches
45 inches
50 inches
Answer:
JKBUKKJHKK
Step-by-step explanation:
GYHBGKJHUJUGJ
Answer:
The answer would be 19inches, 50 inches.
i dont knw if its right or not,
but i hope this helps u.
Step-by-step explanation:
The letters for the word SCHOOL are placed in a hat. What is the probability of drawing the letter o out of the hat?
Answer: 2/6 or 1/3
Step-by-step explanation:
SCHOOL has 6 letters in it and two O's. Therefore, it would be 2/6 or simplified it would be 1/3.
That was FUN!
factorise 16a^2 -9b^2
Answer:
it can't be factorised the variables should be same
A tank that is 40% full contains 648 gallons of water. How much water is in the tank when the tank is at full capacity (100%)?
Answer: 1620 gallons of water
Step-by-step explanation:
Let the water that is in the tank when the tank is at full capacity be represented by x.
Therefore, 40% of x = 648
40% × x = 648
40/100 × x = 648
0.4 × x = 648
0.4x = 648
x = 648/0.4
x = 1620
The answer is 1620 gallons
Can anyone give me examples of this songwriting project?
Answer:
First find what to sing about. Next get your rythim. Last get the lyrics together.
Step-by-step explanation:
The measure of central angle ABC is StartFraction pi Over 2 EndFraction radians. What is the area of the shaded sector? 6Pi units squared 9Pi units squared 18Pi units squared 36Pi units squared
Answer:
9π unts²
Step-by-step explanation:
Find the diagram attached
Given the following
Radius = 6
Theta = pi/2 = 90°
Area of the sector = theta/360×πr²
Area if the sector = 90/360 × π(6)²
Area of the Sector = 1/4 × 36π
Area of the sector = 9π unts²
Answer:
B: 9Pi units squared
Step-by-step explanation:
trust:)
plz help me with my work
Answer:
the answer is B
Step-by-step explanation:
Which division expression represents paiges speed in miles per minute
Answer:
2/3 divided by 16
Step-by-step explanation:
Answer:
2/3 divided by 16
Step-by-step explanation:
Solve for x. Round to the
nearest tenth.
15
26°
h(x) = -2(x - 2)(x +1)
In standard form? Help???
Answer:
[tex]h(x)=-2x^2+2x+4[/tex]
Step-by-step explanation:
h(x) = -2(x - 2)(x +1)
Standard form: [tex]h(x)=-2x^2+2x+4[/tex]