a car travels 55 miles per hour for 2 hours. How far did it travel in 1 1/2 hours
Answer:
82.5 miles in 1 1/2 hours
Step-by-step explanation:
Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.
55 miles = one hour
2 hours = 110 miles
1 1/2 hours = 55 ÷ 2 = 27.5
55 + 27.5 = 82.5 miles
82.5 miles
Hope this helps
Write an inequality to show: The population of China (p) is at least 1,000,000,000 people.
I'll try to mark brainiest
Answer:
p ≥ 1,000,000,000
Step-by-step explanation:
since it says "at-least" that is implying that, that is the estimate and there is most likely more people and it is not exactly 1,000,000,000 so we need to use ≥ to show that it could be greater than or equal to 1,000,000,000.
Help please please need quick
PLEASE HELP ME
It snowed 2/3 of a foot in January and 1/2 of a foot in February. How much more did it snow in January than in February?
Answer:
Step-by-step explanation:
2/3 - 1/2 ?=?
4/6 - 3/6 = 1/6 ft more
Expand the function.
f(x) = (2x + 3)4
Answer:
y = 8x + 12
Step-by-step explanation:
y = (2x + 3)4
Distribute the 4 to the 2x and 3
y = 8x + 12
^ Expanded form
2/3x + 7 = -1/5x + 3
if there is any doubt leave a comment
2yx= 4 is it a linear function?
Answer:
No, it is not a linear function, rather a rational function
Step-by-step explanation:
Because the term on the left-hand side contains both x and y, then neither variable varies directly with the other, hence, it's a rational function:
2yx=4
yx=2
y=2/x
What are the solutions to the quadratic function. f(x) = x^2+4x-12
Answer:
2, -6
Step-by-step explanation:
x^2 + 4x - 12
A = 1
B = 4
C = -12
i used the "X" method to solve for the solutions. i think it's easier than using the quadratic formula but it doesn't always work
for the "X" method you have to multiply your A value and your C value together so 1 x (-12) = -12. that is going to be the top part of the X
the bottom part of the x will be your B value which is 4
we have to find multiples of -12 that will also add to 4
so -2 and 6 multiply to -12 but also add to 4 so we know these numbers will work
i added added two drawings to show how i found the solutions using the "X" method and the quadratic formula
Please take a look at the picture
Answer:
D) The number that is 5 to the right of -6 on the number line
Hope this helps :)
What's the negative reciprocal of 5? Question 12 options: A) 1∕5 B) –5 C) –1∕5 D) 5
Answer:
[tex]\huge\boxed{C)\ -\dfrac{1}{5}}[/tex]
Step-by-step explanation:
The reciprocal of 5: [tex]\dfrac{1}{5}[/tex]
The negative reciprocal of 5: [tex]-\dfrac{1}{5}[/tex]
Can some help please
Answer:
9×10^16
Step-by-step explanation:
Only if the power is the same, you can just add the first numbers
You just need to combine.
The rule (a) = a tells us we can just remove the parenthesis.
2*10^16 + 7*10^16
That would equal to 9 x 10^16 because when adding exponents, you keep them the same.
Triangle abc is similar to triangles def ghi and jkl the scale factors for the dilations that show triangle abc is similar to each triangle are in the table
Find the side lengths of triangles def ghi and jkl record them in the table
What is 11% of 96 students
Answer:
8.7
Step-by-step explanation:
8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7
How to factor out a polynomial with a 3rd degree.
Answer:
How to factor out a polynomial with a 3rd degree-• well here is a For example, let G(x) = 7x³ – 125. Then factoring this third degree polynomial relieve on a differences of cubes as follows: (2x – 5) (4x² + 20x + 25), where ²x is the cube-root of 8x³ and 5 is the cube-root of 1256
Answer:
long division is probably the simplest method of finding out the factors
Step-by-step explanation:
For example, let G(x) = 8x³ – 125. Then factoring this third degree polynomial relies on a difference of cubes as follows: (2x – 5) (4x² + 10x + 25), where 2x is the cube-root of 8x³ and 5 is the cube-root of 125. Because 4x² + 10x + 25 is prime, you are done factoring.
What are 5 rules to follow in a science lab?
Answer:
Step-by-step explanation:
1. Wear safety glasses
2. Be accompanied by an adult
3. Wear proper lab clothing
4. Alert Lab instructor if an accident were to happen
5. Follow all instructions given by lab instructor
Find the accumulated value of an investment of $2000 at 8% compounded continuously for 4 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000e^{0.08\cdot 4}\implies A=2000e^{0.32}\implies \boxed{A\approx 2754.26}[/tex]
what is the probability of a person randomly selecting an apple pie, eating it, then selecting another apple pie
Answer:
if its me then i will bye the store. but the answer is 50%
Step-by-step explanation:
Hey everyone! Can you help me out with this(for those wondering, these are test corrections, I plan to do half today and half tomorrow)
State whether the following relation is a function.
Answer:
no its not since some dots are above each other and fail the vertical line test
Hope This Helps!!!
Answer:
no the x value repeat
Step-by-step explanation:
x-10/3=5x+2/2 I need help with he next step please
Answer:
x2 the left side and x3 the right side of the equation
Answer:
X = -2
First you cross multiply, and then you expand to get 15x+6
after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.
The student government snack shop sold 64 snacks this week. 8 of the snacks sold were fruit cups. What percentage of all snacks sold were fruit cups?
Rewrite the equation as a division equation.
Answer:
8/64 = 0.125 = 12.5%
Step-by-step explanation:
8/64 = 0.125 = 12.5%
Answer: 3x10^2 mi
example:
Answer:
3000
Step-by-step explanation:
Answer:
300
Step-by-3step explanation:
A department store marked down all of its summer clothing 23%. The following week the remaining items were marked down again
15% off the sale price. When Jorge bought two tank tops on sale, he presented a coupon that gave him an additional 20% off. What
percent of the original price did Jorge save?
Answer:
58%
Step-by-step explanation:
cosθ(tanθ + cotθ) =
• cscθ
• secθ
• cos^2θ
• 1
Answer:
ayo i think is ufo trying to communicate hey alien we come in peace
Step-by-step explanation:
[tex]\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left (\dfrac{\sin \theta}{\cos \theta} \right)+ \cos \theta \left(\dfrac{\cos \theta}{\sin \theta} \right)\\\\\\=\sin \theta + \dfrac{\cos^2 \theta}{\sin \theta}\\\\=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta}\\\\=\dfrac 1{\sin \theta}\\\\=\csc \theta[/tex]
Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds after the diver leaves the springboard.
a. How high above the water is the springboard? Explain how you know.
Answer:
Step-by-step explanation:
a) The height of the springboard above the water should be h(0) : Read, the height at t = 0
h(0) = -5(0) + 10(0) + 3
h(0) = 0 + 0 + 3
h(0) = 3
a) 3 meters
b) The time it takes the diver to hit water should be, the positive 0 solution for t. Remember, in a quadratic equation, there are two values for t where a parabola crosses the horizontal axis, which in this case would be t. Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac) / 2a
Substitute t for x, and use the coefficients for a, b, c:
t = (-10 ± √((102 - 4(-5)(3)))/2(-5)
t = (-10 ±√(100 + 60))/-10
t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:
t = (-10 ±√(10*16))/-10
t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:
t = -2(5 ± 2√10)/-10
t = (5 ± 2√10)/5
Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):
t ≈ 2.265
b) approx. 2.265 seconds for diver to hit water.
c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).
-5tt + 10t + 3 = 3
-5t2 + 10t = 0 ; factor out t
t(-5t + 10) = 0
We know t = 0:
We also know that -5t + 10 = 0
-5t = -10
t = 2
c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.
d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).
h = -10/2(-5)
h = -10/-10
h = 1
h(1) = -5(1)2 + 10(1) + 3
h(1) = -5 + 10 + 3
h(1) = 8
d) At t = 1 second, diver will have reached peak of dive.
e) At t = 1 second, diver will have reached a maximum height of 8 meters.
please help me calculation completing square?
x²+2x-24=0?
Answer:
x = 4, -6
Step-by-step explanation:
x = 4, -6
A punch recipe requires 2 cups of cranberry juice to make 4 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 12 gallon of punch
Answer:
we need 6 cups of cranberry juice for 12 gallons of punch
A line that passes through the points (12,12) and (20,6)
Answer:
8,48 I think
Step-by-step explanation:
I subtracted them from each other
The required equation of the line is given as y = -6x / 8 + 21.
Given that,
A line that passes through points (12,12) and (20,6)
The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
Standard equation of the line,
y -y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the point in the above equation,
y - 12 = (6-12)/(20 - 12)[x - 12]
y = -6/8[x - 12] + 12
y = -6x/8 +9 + 12
y = -6x / 8 + 21
Thus, the required equation of the line is given as y = -6x / 8 + 21.
Learn more about slopes here:
https://brainly.com/question/3605446
#SPJ2
Mr. Jameson has an apple orchard on his farm. He hires his daughter, Rachel, to pick apples and offers her two payment options:
Option A: $1.50 per bushel of apples picked
Option B: 1 cent for picking one bushel, 3 cents for picking two bushels, 9 cents for picking three bushels, and so on, with the amount of money tripling for each additional bushel picked
HELP ASAP
Answer:
Part A: f(x) = 1.50x/g(x) = 0.01(3)^x-1
Part B: Option A: $9
Part C: Option B: $1,771.47
Part D: The eighth bushel picked is when the exponential function exceeds the linear function.
Step-by-step explanation:
Part A: Write a function to model each option.
Option A: f(x) = 1.50x, where x is the number of bushels of apples picked
Option B: g(x) = 0.01(3)^x-1, where x is the number of bushels of apples picked.
--------------------------------------------------------------------------------------------------------------
Part B: If Rachel picks six bushels of apples, which option should she choose?
Option A: $9 Option B: $2.43
Option A is better since what the number is would be higher.
1.50x6 = 9. If I were to do the same for option b, option a would end up higher.
--------------------------------------------------------------------------------------------------------------
Part C: If Rachel picks twelve bushels of apples, which option should she choose?
Option A: $18 Option B: $1,771.47
After calculating both of them by multiplying by 12 for each, option B ends up to be much better.
--------------------------------------------------------------------------------------------------------------
Part D: How many bushels of apples does Lucy pick to make option B better for her than option A?
The eighth bushel picked is when the exponential function exceeds the linear function.
Help help help help help help
Answer:
70.2
Step-by-step explanation:
28.08 / 0.4 = 70.2
Find the domain of the function.
f(x) = -5x + 3
Enter a problem...
Calculus Examples
Popular Problems Calculus Find the Domain and Range f(x)=5x-3
f
(
x
)
=
5
x
−
3
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
y
|
y
∈
R
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
∞
)
,
{
y
|
y
∈
R
}
