Answer:
B.8/10,E.12/15
Step-by-step explanation:
4/5×2=8/10
4/5×3=12/15
The question below give me used to determine h, The high in feet of a model rocket t seconds after it is launched from a roof that is 48 feet in height.
H=-16t^2+128t+48
Which equation reveals the maximum height reached by the model rocket?
Choices/answers^^
Answer: the answer is B.
Step-by-step explanation:
The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
What is Quadratic equation?
An equation of order 2 in highest variable is called a Quadratic equation.
Given that;
The equation is,
H = -16t² + 128t + 48
Now, The equation which reveals the maximum height reached by the model rocket is find as;
H = -16t² + 128t + 48
h = -16(t² + 8t) + 48
h = -16 (t² + 8t) + 256 - 256 + 48
h = -16 (t² + 8t + 16) + 256 + 48
h = -16 (t + 4)² + 304
Thus, The correct equation which reveals the maximum height reached by the model rocket is,
h = - 16 (t + 4)² - 304
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least common denominator of 2/9 and 11/12 ?
Answer:
2/9
Step-by-step explanation:
Find the particular solution of the differential equation?
/=5^3+9^2, when =1, =8
Answer:
[tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} - \frac{9}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Solving Differentials - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
*Note:
Ignore the Integration Constant C on the left hand side of the differential equation when integrating.
Step 1: Define
[tex]\displaystyle \frac{ds}{dt} = 5t^3 + \frac{9}{t^2}[/tex]
t = 1
s = 8
Step 2: Integrate
[Derivative] Rewrite [Leibniz's Notation]: [tex]\displaystyle ds = (5t^3 + \frac{9}{t^2})dt[/tex][Equality Property] Integrate both sides: [tex]\displaystyle \int {} \, ds = \int {(5t^3 + \frac{9}{t^2})} \, dt[/tex][Left Integral] Reverse Power Rule: [tex]\displaystyle s = \int {(5t^3 + \frac{9}{t^2})} \, dt[/tex][Right Integral] Rewrite [Integration Property - Addition]: [tex]\displaystyle s = \int {5t^3} \, dt + \int {\frac{9}{t^2}} \, dt[/tex][Right Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle s = 5\int {t^3} \, dt + 9\int {\frac{1}{t^2}} \, dt[/tex][Right Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle s = 5\int {t^3} \, dt + 9\int {t^{-2}} \, dt[/tex][Right Integrals] Reverse Power Rule: [tex]\displaystyle s = 5(\frac{t^4}{4}) + 9(\frac{t^{-1}}{-1}) + C[/tex][Right Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle s = 5(\frac{t^4}{4}) + 9(\frac{1}{t}) + C[/tex]Multiply: [tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} + C[/tex]Step 3: Solve
Substitute in variables: [tex]\displaystyle 8 = \frac{5(1)^4}{4} + \frac{9}{1} + C[/tex]Evaluate exponents: [tex]\displaystyle 8 = \frac{5}{4} + \frac{9}{1} + C[/tex]Divide: [tex]\displaystyle 8 = \frac{5}{4} + 9 + C[/tex]Add: [tex]\displaystyle 8 = \frac{41}{4} + C[/tex][Subtraction Property of Equality] Isolate C: [tex]\displaystyle \frac{-9}{4} = C[/tex]Rewrite: [tex]\displaystyle C = \frac{-9}{4}[/tex]Particular Solution: [tex]\displaystyle s = \frac{5t^4}{4} + \frac{9}{t} - \frac{9}{4}[/tex]
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentials Equations and Slope Fields
Book: College Calculus 10e
PLEASEEEE HURRYYY
!!!!!!
Michael has a total of 100 problems he needs to solve. After
working from 3:00 PM to 5:00 PM, he only had 40 problems
left to solve.
What was Michael's average rate of solving problems between
3:00 PM to 5:00 PM?
problems/hour
Enter the answer
Answer:
60 more problems left
Step-by-step explanation:
100-40=60
Entry to a certain University is determined by a national test. The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115. Harriet wants to be admitted to this university and she knows that she must score better than at least 75% of the students who took the test. Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in? 2. (2pt) Will Harriet be admitted? Wh
Answer:
She scored in the 90th percentile.
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The scores on this test are known to be normally distributed with a mean of 725 and a standard deviation of 115.
This means that [tex]\mu = 725, \sigma = 115[/tex]
She must score better than at least 75% of the students who took the test.
So her z-score should have a pvalue of at least 0.75.
Harriet takes the test and scores 874.5. 1. (2pts) What percentile did Harriet score in?
We have to find the pvalue of Z when X = 874.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{874.5 - 725}{115}[/tex]
[tex]Z = 1.3[/tex]
[tex]Z = 1.3[/tex] has a pvalue of 0.9032
She scored in the 90th percentile.
Will Harriet be admitted?
90th percentile is better than 90% of the students who took the test, so yes, she will be admitted.
you work at a coffee house roasted coffee beans retain 3/5 of the initial weight approximately what percentage of the initial weight do they retain
Answer:
they retain 3/5 or 60% of their initial weight
Step-by-step explanation:
it's is estimated that each guest at the party will eat 5/8 pounds of chocolate.How. many guest can be served with 10 pounds of chocolate?
Answer: 16
Step-by-step explanation:
Guests = x
5x/8 = 10
x = 16
16 guests can be served with 10 pounds of chocolate when estimated each guest at the party eat 5/8 pounds of chocolate.
it's is estimated that each guest at the party will eat 5/8 pounds of chocolate. We need to find number of guests can be served with 10 pounds of chocolate
What is Equation?
Two expressions with an equal sign is called as equation.
When it's is estimated that each guest at the party will eat 5/8 pounds of chocolate. We need to find number of guests can be served with 10 pounds of chocolate.
we need to divide 10 by 5/8 to find the answer
10/(5/8)=10*8/5=80/5=16
Therefore 16 Guests can be served with 10 pounds of chocolate.
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brain size for football players
3, 4, or 5, I think, but I'm not sure.
Solve 1/11c > 9. Graph the solution. . The solution is
Answer:
I suppose that the inequality is:
(1/11)*c > 9.
To solve this we need to isolate c in one side of the inequality.
To isolate it, we need to multiply both sides by 11, then we get:
11*(1/11)*c > 9*11
c > 9*11 = 99
c > 99.
To graph this, we will have an open dot at c = 99, and an arrow that points to the right direction.
The graph is shown below.
given that the 11th term of arithmetic progression is 43 that the first term is 3 find the 4th term
Answer: 15
Step-by-step explanation:
The 11th term of arithmetic progression is 43. We can use this to get the common difference which will be:
a + (n - 1)d = 43
where,
a = first term = 3
n = nth term = 11
d = common difference = unknown
Therefore, a + (n - 1)d = 43
3 + (11 - 1)d = 43
3 + 10d = 43
10d = 43 - 3
10d = 40
d = 40/10
d = 4
Common difference = 4
Therefore, 4th term will be:
= a + (n - 1)d
= a + (4-1)d
= a + 3d
= 3 + 3(4)
= 3 + 12
= 15
The 4th term is 15
Me pueden ayudar con la F porfa :)
Answer: -66
Step-by-step explanation:
[tex](2)-(-3)(-20)-(-8)[/tex]
multiply first {*}
[tex](2)-(60)-(-8)[/tex]
then open parenthesis {()}
[tex]2-60+8[/tex]
then add/subtract {+/-}
[tex]2-60+8=\\2-68=\\-66[/tex]
Sorry that it isn't in Spanish ;-;
Answer:
f. = -50
Step:
(2) - (-3) (-20) - (-8)
2-(-3) (-20)= -58
-58+8
= -50
Identify what is shown in each circle below, in order from left to right.
Radius, Diameter, Circumference
Diameter, Radius, Area
Circumference, Radius, Diameter
Diameter, Radius, Circumference
Answer:
the answer is
Diameter, Radius, Circumference
Hope it will help :)
Teresa's restaurant bill comes to $29.99 before tax. If the sales
tax is 6.25%, what is the total cost of the meal (including tax)?
Write Function or Not
1.{(1,3),(2,4),(3,5)}
2.{(1,2),(1,3),(2,4)}
3.{(-3,4),(0,7),(3,0)}
4.{(4,3),(4,0),(-3,0)}
5.{(6,-8,),(-6,-8),(-6,8)}
Answer:
1. is a function
2.is a function
3. is function
4 is not function
5. is not function
Step-by-step explanation:
What is the area of a circle with a radius of 4 inches? Use 3.14 for π. Enter your answer as a decimal in the box.
enter your answer
in²
Answer:
A≈ 50.27in^2
Step-by-step explanation:
A= πr^2=
π·4^2≈ 50.26548
Is xy= 60 a direct variation or inverse variation
Answer:
Inverse variationStep-by-step explanation:
Direct variation:
[tex]\dfrac{y}{x}=constant[/tex]
Inverse variation:
[tex]xy=constant[/tex]
We have
[tex]xy=60[/tex]
it's an inverse variation.
Barbara is a research biologist for Green Carpet Lawns. She is studying the effects of fertilizer type, temperature at time of application, and water treatment after application. She has three fertilizer types, two temperature zones, and five water treatments to test. Determine the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration.
The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the ten team entrants achieve first, second, and third places?
There are 15 qualified applicants for 4 trainee positions in a fast-food management program. How many different groups of trainees can be selected?
Answer:
The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second,
Solve these word problems:
Answer:
45 cats prefer fish
Step-by-step explanation:
Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA
Answer:
Second one:
AAS
Step-by-step explanation:
searched it
Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P.
Answer:
Parallelogram
Step-by-step explanation:
That dude above doesn't know what his talking about its parallelogram my teacher confirmed it too
The quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.
QuadrilateralA quadrilateral is a polygon with four angles and four sides.
Given the vertices of quadrilateral MNOP at M(1, 1) N(3, 4) O(6, 6) P(4, 3). Plotting the points using geogebra,
We can see that the quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.
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Each package contains four boxes .each box contains a 7 pound bag of beans and a bag of rice. the bags of rice are all identical
Answer:
28
Step-by-step explanation:
if you asking for how much it weighs then this is the answer
answer hurry please
Answer:
-3
Step-by-step explanation:
wathway lol look it up gives u all the answers.
Solve 12 - 4x = 44. Find the value of X
Answer:
x = -8
Step-by-step explanation:
We have the expression 12 - 4x = 44 and are asked to find the value of x.
To solve this, we need to isolate x, or get it by itself.
12 - 4x = 44
Subtract 12 from both sides :
-4x = 32
Divide -4 from both sides :
x = -8
5/9 TIMES 1/6 PLS HURRY I HAVE ONE MINUTE LEFT
Answer: 5/54
Step-by-step explanation:
Answer:
5/54
= 0,092
Step-by-step explanation:
thank you
hope this helps
A bicycle wheel makes five rotations. The bicycle travels ft. Find the diameter of the wheel in inches. Use 3.14 for .
Answer:
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
Step-by-step explanation:
You forgot to say how far the bike travels.
Given R rotations, L feet, and a wheel radius of r, then the relationship is
[tex]L=2\pi rR[/tex]
Solving this for r gives
[tex]r=\frac{L}{2pi R}[/tex]
Diameter=2r
inches=12*ft
if the force acting on a body of mass 4kg accelerates it at a constant rate of 4m/s. what would be the acceleration of the mass is doubled?
Answer:
4kg=4m/s
8kg=?
3m/s
Step-by-step explanation:
12kgm/s/4kg
Find the value of angle AOD?
Find the value of angle ODC?
Find the value of angle ABC?
Find the value of angle CFD?
Find the value of angle CAB?
Step-by-step explanation:
AOD - since it forms a triangle and the sides of the triangle are radius of circle they are equal so ADO = DAO. to find AOD: 180⁰-36⁰-36⁰=108⁰.
ODC - first we find DOC :180⁰-108⁰=72⁰.since the other 2 sides of the triangle are equal we can find ODC by : 180⁰=72⁰+2x
2x=180⁰-72⁰
2x=108⁰
x=108⁰/2
x=54⁰
the other 3 right now i dont have an idea but if i think of it later i will comment it here.
ABC -its 120⁰ because it forms Z angles with CEF
CFD -first we find ODE which we do by : 90⁰-54⁰=36⁰. Then we find CED by : 180⁰-120⁰=60⁰.Then we find DCE by: 180⁰-36⁰-60⁰=84⁰.Then we find ECF by :180⁰-54⁰-84⁰=42⁰.And now we find CFD by : 180⁰-120⁰-42⁰=18⁰.
CAB -first we find BCA by : 180⁰-54⁰-84⁰=42⁰ or you can say it is equal with ECF because they are opposites of the same point.Then to find CAB we : 180⁰-120⁰-42⁰=18⁰ or you can say it is equal to CFD because they form Z angle.
Determine what number to multiply the first equation by to form opposite terms for the x-variable. 2/5 x + 6y = -10 –2x – 2y = 40 Multiplying the first equation by will create opposite x terms.
Answer: 5
Step-by-step explanation: edge 2021
You can use the constant which if multiplied with the coefficient of x in first equation, ends up making it negative and of equal magnitude to the coefficient of x variable in second equation.
The first equation should be multiplied by the constant 5
How to choose what quantity to multiply the first equation?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
[tex]a_1x + b_1y = c_1\\a_2 x + b_2y = c_2\\[/tex]
then, if we want to eliminate variable x, then we have to multiply equation 1 with [tex]-\dfrac{a_2}{a_1}[/tex] which will make coefficient of x in first equation as [tex]a_1 \times -\dfrac{a_2}{a_1} = -a_1[/tex]
Then adding both equation will eliminate the variable x.
We could've skipped that -ve sign and at then end, instead of adding, we could've subtracted the equations.
Using above method for getting the needed constantThe system of equation we've got is
[tex]\dfrac{2}{5}x + 6y = -10\\\\-2x -2y = 40[/tex]
Thus, we have the constant needed = [tex]-\dfrac{a_2}{a_1} = -\dfrac{-2}{2/5} = 5[/tex]
The resultant system of equation we will get is:
[tex]2x + 30y = -50\\\\-2x -2y = 40[/tex]
Thus,
The first equation should be multiplied by the constant 5
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A penguin walks 10 feet in 6 seconds. At this speed:
1. How far does the penguin walk in 45 seconds?
2. How long does it take the penguin to walk 45 feet?
Explain or show your reasoning.
Answer:
1. 75 feet
2. 27 seconds
Step-by-step explanation:
1. If six seconds is equal to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)
2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to 3 seconds then we get 24 + 3 = 27
$250 increased by 200%
Answer: It went up $500 and the total is $750
Step-by-step explanation:
