Answer:
40
Step-by-step explanation:
A particle moves along a line so that its velocity at time t is
v(t) = t2 − t − 20
(measured in meters per second).
(a) Find the displacement of the particle during
3 ≤ t ≤ 10.
(b) Find the distance traveled during this time period.
Determine the equation for the line that passes through (2,-1) and (6,5)
Write in point slope form
Write in slope intercept form
Write in standard form
Answer with explanation:
The equation of a line passing through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Equation of line passing through (2,-1) and (6,5) is given by :-
[tex](y-(-1))=\dfrac{5-(-1)}{6-2}(x-2)\\\\\Rightarrow\ (y+1)=\dfrac{6}{4}(x-2)[/tex]
[tex]\\\\\Rightarrow\ (y+1)=\dfrac{3}{2}(x-2)\ \ \ \ \ \text{[point slope form} : (y-y_1)=m(x-x_1)] \\\\\Rightarrow\ y+1=\dfrac{3}{2}x-3\\\\\Rightarrow\ y=\dfrac32x-4\ \ \ \ \ [\text{ slope intercept form} : y= mx+c]\\\\\Rightarrow\ 2y= 3x-2\times4\\\\\Rightarrow\ 2y=3x-8\\\\\Rightarrow\ 3x-2y=8 \ \ \ \ [\text{Standard form : Ax + By = C}][/tex]
I don't know how to do this plz help
There were 30 cars and 20 trucks in the parking garage. What is the ratio of cars to total vehicles?
A. 3 to 2
B. 7 to 2
C. 3 to 5
D. 2 to 3
Cindy bought 3 burgers and 2 soft drinks for $10.50. At the same restaurant, Sean bought 4 burgers and 3 soft drinks for 14.50. How much does 1 burger cost
Answer:
To much to count
Step-by-step explanation:
If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u?
A. u equals p over q
B. u = 1/2s
C. u equals q over p
D. u = 2s
Answer:
last answer D
i took the test
The expression that most effectively represents u's value would be:
D). u = 2s
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
Given that,
In ΔABC, E is the midpoint in the segment AC and D is the midpoint of BC.
Now,
CE = 0.5 × AC(midpoint)
CD = 0.5 × CB (midpoint)
Thus,
CE/AC = CD/CB = ED/AB = 1/2
As ED = s and AB = u
So, u = 2s
Learn more about concept here:
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11. A tank is being filled up with water. At t=0, we know that the tank holds 150 gallons of
water, and after one hour ( t=1) , it holds 180 gallons of water.
a) Assuming that the volume of water in the tank, V, is a linear function of time, t, in hours,
find a formula for V ( linear function)
b) BY what percent did the volume of water increase from t=0 to t= 1?
Answer:
V = 30t + 15020%Step-by-step explanation:
Given
Initial volume = 150 galVolume after 1 hour = 180 gala) The volume formula will be:
V = 30t + 150As 150 is y-intersect (volume at zero time) and the rate of change (the slope) is 30 gal per hour
b) Increase of volume by percent:
30 gal increase on top of 150 gal
30/150*100% = 20%Answer:
20%
Step-by-step explanation:
The volume formula is V = 30t + 150 → where 150 is y-intersect and the slope is 30 gals per hour
So you can do:
30 gals of increase on top of the 150 gals to get:
30/150×100% which equals 20%
:)
A science fair poster is a rectangle 4 feet long and 3 feet wide. What is the area of the poster in square inches?
Be sure to include the correct unit in your answer.
in
in?
in?
G
Х
?
6. Slope =
Y-Intercept
Equation in slope-intercept form:
What is the Slope?
4x + y = 1
Answer:
m=-4
Step-by-step explanation:
Answer:
take 1 - 4 you should get answer
Step-by-step explanation:
4x + y = 1
determine whether the triangles are congruent by sss sas asa aas or hl.
Answer:
sas :)
Step-by-step explanation:
Solve 8a – 15 – 6a + 3a = 85
Answer:
a = 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
8a - 15 - 6a + 3a = 85
Step 2: Solve for a
Combine like terms: 5a - 15 = 85Isolate a term: 5a = 100Isolate a: a = 20Jim’s backyard is rectangular with dimensions of 75 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 2/5. How much fencing will he need if he wants to enclose the garden on all four sides?
He will need __________ feet of fence.
Answer:
15.6 feet of fence
Answer:
The answer is 45 ft. I hope i helped <3
Step-by-step explanation:
Given the graph that is shown. What is the range of the function?
Answer:
B
Step-by-step explanation:
Range is Y and the point is -4 to 2
Help me please, thank you :)
Answer:
300 children
Step-by-step explanation:
half hour: 25 children
1 hour: 25×2= 50 children
6 hours: 50×6= 300 children
hope it helps ☺️!
If you are buying at item at a store for a price of $66, and there is a 5.1% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
$69.37
Step-by-step explanation:
Before Tax Price: $66.00
Sale Tax: 5.10% or $3.37
After Tax Price: $69.37
Solve (x + 3)2 - 5 = 0 using the quadratic formula.
A) x= 3 + 15 , x= 3 - 15
OB) x= 3
C) x= -3
ODx= -3 + 15x= -3 - 15
Answer:
x=−3±√5
Decimal Form:
x=−0.76393202…,−5.23606797
So D would be your answer
Step-by-step explanation:
What is the range of fx) = 3^x
Answer: For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical extent of the graph, so the domain and range include all real numbers.
Step-by-step explanation:
Evaluate 12²- 4 (6) + 1/ 11²
Answer:
On a calculator you would get 120.008264463
other wise know as 120 1/121
Proving the Sum of the Interior Angle Measures of a Triangle Is 180
The sum of the interior angles of a triangle is 180° is proved below.
We are given that;
To prove angle sum property of triangle
Now,
There are different ways to prove that the sum of the interior angles of a triangle is 180°. Here are three common proofs:
Proof : Using parallel lines and alternate interior angles
Since the line PQ is parallel to the side BC, and AB and AC are transversals, we can use the property that alternate interior angles are congruent.
Therefore, we have:
∠QAC = ∠ACB
∠PAB = ∠ABC
Adding these equations, we get:
∠QAC + ∠PAB = ∠ACB + ∠ABC
But ∠QAC + ∠PAB is a straight angle, which measures 180°. So, we have:
180° = ∠ACB + ∠ABC
Adding ∠CAB to both sides, we get:
180° + ∠CAB = ∠ACB + ∠ABC + ∠CAB
Simplifying, we get:
180° = ∠ACB + ∠ABC + ∠CAB
Hence, by the triangles the answer will be given above.
Learn more about the triangles;
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Solve the following system of equations.
2x +y = 3 = 3
2 = 2y - 1 - 1
Answer: or (1,1)
Step-by-step explanation:
You can apply the Method of substitution.
Knowing that (second equation), you can substitute it into the first equation and solve for the variable y:
Now you need to substitute into the second equation to calculate the value of the variable x. Then:
Then, the solution is:
or (1,1)
Solve 4h = 92 for h.
h = ___
Answer:
H= 23
Step-by-step explanation:
92 divided by 4 will give you 23
Answer:
h = 23
Step-by-step explanation:
Divide each term by 4 and simplify.
PLEASE HELP it would be appreciated!!!!
Answer:
B 15
Step-by-step explanation:
Since the triangle has two same side lengths you can calculate that the other two are 54°.
Answer:
D. 33
Step-by-step explanation:
(3x+9)=72=180
3x + 81 = 180
subtract 81 from both sides
3x =180
divide 3 from both sides to get the x alone
x=33
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A bank's loan officer rates applicants using their FICO credit score. The ratings are normally distributed with a mean of 711 and a standard deviation of 80. Find the credit score which separates the lower 80% from the top 20%. g
Answer:
The answer is "778"
Step-by-step explanation:
Given value:
[tex]\to \mu= 711\\\\\to \sigma= 80\\\\\to P(Z >0.84) = 0.20\\\\\to z = 0.84[/tex]
The formula for z-score:
[tex]\to x = z \times \sigma + \mu \\\\\to x = 0.84 \times 80 + 711 \\\\ \to x=67.2 +711\\\\ \to x= 778.2\\\\ \to x= 778[/tex]
Find the value of x
Please help
Answer:
x=67
Step-by-step explanation:
Two ways to solve it:
1st way: Just looking at it, x is definitely not 180° because it’s to big of an angle, it is definitely not 113° because it’s still to big of an angle, and it’s also not 90° because it doesn’t form a right angle. So it must be 67°.
2nd way: Since two angles in a straight line add up to 180°, you can subtract 113° from 180° to find what x is. You can tell that 180° - 113° is equal to 67°
So either way, the answer is: x=67
Hope this helped! :)
20 POINTS!!!!please help due in 20 mins
Answer:
rate of change is -1/3 (table) and 4 (graph)
Function 2 has the greater rate of change because the graph is steeper, and |4| is bigger than |-1/3|
Step-by-step explanation:
Answer:
(a) Function 1 : -2 Function 2 : 3.
(b) Function 2
Step-by-step explanation:
For function #1, you can calculate the rate of change (another word for slope) by counting the change between each y value. So, when x is 2, y is -3. When x is 3, y is -5. The rate of change is -2!
Show your work by marking an arrow for each y and writing -2.
Function #2, you need to find the slope (rate of change) by drawing a rise/run line when the equation line hits a point on the graph. One point is (-1,1) another point is (0,4). The slope/rate of change is 3.
Help me please I need assistance!
Answer:
84ft
Step-by-step explanation:
one side of the house is 14 units
since 1unit=6ft
Length of one side of her house= 14(6)=84ft
What is the missing value for the probability distribution table ?
X 1 2 3 4 5
P(X) 0.05 0.35 0.15 0.2
Don’t PUT A Random Answer PLEASE
Answer:
314
Step-by-step explanation:
Answer:
ok I won't
Step-by-step explanation:
(Giving brainliest)
Solve five ninths plus four sixths.
A) sixty six fifty fourths
B) ten fifteenths
C) thirty ninths
Answer:
C
Step-by-step explanation: