The quadratic equation that models the height of the rocket after t seconds is:
s(t) = -4.9t² + 39.2t.
What is the quadratic function for a projectile's height?Considering the height in meters, the equation is given by:
s(t) = -4.9t² + v(0)t + h(0)
In which:
v(0) is the initial velocity, in m/s.h(0) is the initial height, in m.In this problem, we have that v(0) = 39.2, h(0) = 0, hence the equation is:
s(t) = -4.9t² + 39.2t.
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Answer: B
Step-by-step explanation: on Edge (*^*)
i need help thanks11!1!1!1!1!1
Answer:
A
Step-by-step explanation:
Help, forgot how to do this, and need to answer asap
Answer:
(a)12
(b)28
(c)1
Step-by-step explanation:
the dots on the plot for a and b and for c It's almost exactly a whole hour decrease of HW a student is likely to do for every extra hour a student watches TV
Which grid shows the product of 0.3 x 3?
Answer:
third grid
Step-by-step explanation:
.3×3=.9, as that is just .3 + .3 + .3
The third grid has 9/10 boxes colored, which is the same as .9
Hope this helps! :)
What is the exact value of cos (7pi/8)
Answer:
The bottom one ....see below
Step-by-step explanation:
Using reference angle of pi/8 and half angle trig identity:
cos ( angle/2) = -sqrt (1 + cos (angle) /2)
cos ( pi/4 / 2) = - sqrt (1+ cos ( pi/4)/2)
cos (pi/8) = - sqrt (1 + sqrt (2) / 2)
= - sqrt (1 + sqrt 2) / sqrt 2 rationalize the denominator
= - sqrt ( sqrt 2 + 2) / 2
re arrange to
- sqrt ( 2 + sqrt2) / 2 the fourth answer
-6y+y2+3-4y2-7+1-4y
Please help
EASY 20 POINTS What is the domain of the exponential function shown below?
Answer:
It's all real numbers except whatever makes the expression undefined
Step-by-step explanation:
(−∞,∞)
Answer:
All real numbers
Step-by-step explanation: (−∞,∞)
Solve for x in the triangle. Round your answer to the nearest tenth.
X
9
64°
Answer:
x = 23.0
Step-by-step explanation:
To solve, you have to make the equation:
[tex]cos(64)=\frac{9}{x}[/tex]
Now multiply x to both sides:
[tex]cos(64)*x=9[/tex]
Next divide both sides by cos(64):
[tex]x=\frac{9}{cos(64)}[/tex]
x = 22.9675486404
Round to the tenth:
x = 23.0
Hope it helps and have a nice day!
6/(x^2-3x)=12/x+1/(x-3) with full expanation from the internet
Answer:
[tex]x=\dfrac{42}{13}[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{6}{(x^2-3x)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]
Factor the denominator on the left side:
[tex]\implies \dfrac{6}{x(x-3)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]
Combine the fractions on the right side by multiplying by the LCM:
[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12}{x} \cdot \dfrac{(x-3)}{(x-3)}+\dfrac{1}{(x-3)} \cdot \dfrac{x}{x}\\\\& =\dfrac{12(x-3)}{x(x-3)}+\dfrac{x}{x(x-3)}\\\\& =\dfrac{12(x-3)+x}{x(x-3)} \end{aligned}[/tex]
As the denominators are now the same on both sides:
[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12(x-3)+x}{x(x-3)}\\\\ \implies 6 & = 12(x-3)+x\end{aligned}[/tex]
Simplify and solve for x:
[tex]\begin{aligned}\implies 6 & = 12(x-3)+x\\\\6 & =12x-36+x\\\\6 & =13x-36\\\\13x & =42\\\\\implies x & =\dfrac{42}{13}\end{aligned}[/tex]
find the surface area of the rectangular prism
Answer:
that is cuban that answer is easy (200)=1902
E Homework: 3.1 Homework
Evaluate the function f(z) = 3z-8 at the indicated values.
a) Find f(-4).
1
b) Find f
2
c) Find f(z-7).
a) f(-4)=
(Simplify your answer. Type an integer or a simplified fraction.)
THINGS
Replace z with the number inside the parenthesis:
f(z) = 3z-8
a. 3(-4) - 8 = -12-8 = -20
b. 3(1/2)-8 = 1 1/2 - 8 = -6 1/2
c. 3(z-7) - 8 = 3z-21-8 = 3z-29
how to plot and graph y1 = 17,105 + 1.31x
The attached graph represents the graph of the equation y1 = 17,105 + 1.31x
How to plot and graph the equation?The equation is given as:
y1 = 17,105 + 1.31x
To plot and graph the equation, we set some values for x and calculate the corresponding y values.
Let x = 0, 1, 2 and 3.
So, we have:
y1 = 17,105 + 1.31 * 0 = 17105
y1 = 17,105 + 1.31 * 1 = 17106.31
y1 = 17,105 + 1.31 * 2 = 17107.62
y1 = 17,105 + 1.31 * 3 = 17108.93
The graph can then be plotted using the above points
See attachment
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which is the correct domain and range for this graph?
Answer: B
Step-by-step explanation:
The domain is the set of x values, and the range is the set of y values.
Steve is a single man whose salary is $92,000 per year. Based on the tax table
below, how much does he need to contribute to his employer's 401(k) in order to
fall in a tax bracket lower than the one he is currently in?
The amount that he needs to contribute to his employer's 401(k) in order to fall in a tax bracket will be $9750.
How to calculate the tax?From the information given, Steve is a single man whose salary is $92,000 per year. Based on the tax table below, the amount that he needs to contribute to his employer's 401(k) in order to
fall in a tax bracket will be:
= $92000 - $82250
= $9750
Therefore, the amount is $9750
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Subtract -2x-10from 10x^2+3
Answer:
10x^2+2x+13
Step-by-step explanation:
10x^2+3 - (-2x-10)
10x^2+3 +2x+10
10x^2+2x+13
Graph (x-2)^2 + (y-1)^2 = 9
Step-by-step explanation:
Given the following question:
[tex](x-2)^2+(y-2)^2=9[/tex]
First thing we need to keep in mind is the fact that this graph is indeed a circle. We know this because we are adding two cubic roots to each other which makes the graph a circle. We know the two separate functions are cubic roots because they each have an exponent of two. Not only is this function whose graph is a circle, but the midpoint of this circle is (2,2).
Hope this helps.
ABC Corp. has 2,000 bonds outstanding with a $1,000 face value, an 9 percent coupon, 8 years to maturity, annual interest payments, and sells at $1,105.38. The firm also has 40,000 shares of common stock outstanding at a market price of $85 a share and a beta of 0.67. The risk-free rate is 4 percent, the market return is 15 percent, and the tax rate is 20 percent. What is WACC?
The value of WACC is 6.72%
what is WACC?WACC is calculated by multiplying the cost of each capital source (debt and equity) by its relevant weight by market value, and then adding the products together to determine the total.
WACC=[(Market value of Equity*cost of equity+ Market value of Debt* post tax cost of debt)/(Market value of Equity+ Market value of Debt)]
Market value of Equity= 40,000*$85=$3,400,000
Cost of equity=Risk free return+ Beta equity*market retrun
=4 +0.67*15
=7.35
Market value of Debt
=2000*1105.38
=2,210,760
Post tax rate of debt
=9*80(1-20)
=0.0576= 5.76%
WACC= [$3,400,000* 7.35+ 2,210,760 * 5.76%]\ $3,400,000+2,210,760
=6.72%
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Question. 1 :
In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Question
2.
If Sin A = 3/4, Calculate cos A and tan A.
AB= 24cm
BC = 7cm
<B = 90°
AC = ?
Using Pythagoras theorem :-AC^2 = AB^2 + BC ^ 2
AC^2 = 24^2 + 7^2
AC^2 = 576 + 49
AC^2 = √625
AC = 25
Answer to Question 2 :-sin A = 3/4
CosA = ?
TanA = ?
SinA = Opp. side/Hypotenuse = 3/4(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)
Using Pythagoras theorem :-AC^2 = AB^2 + BC ^ 2
4² = AB² + 3²
16 = AB + 9
AB = √7cm
CosA = Adjacent side/Hypotenuse= AB/AC
= √7/4
TanA= Opp. side/Adjacent side=BC/AB
= 3/√7
12 / 3 + 6 x 2? can anyone help?
Answer:
16
Step-by-step explanation:
12 divided by 3 = 4 and 6*2 = 12
12+4=16
The value of this answer is 16
To solve this expression, we will apply the properties of mathematical operations.
- First, we multiply or divide
- Second, we subtract or add
Resolution
12/3 + 6 x 2
4 + 6 x 2
4 + 12
16
So, the correct value is 16
If f(x) = ex and g(x)=x-4, what is (gof)(x)?
[tex](g\circ f)(x)\\\\=g(f(x))\\\\=g(x-4)\\\\=e^{x-4}[/tex]
Find the solution to the equation:
-13 + 5a = 3(a - 3)
Answer:
a=2
Step-by-step explanation:
-13 + 5a = 3a -9 Distribute 3 through the parentheses
-13 + 5a - 3a = -9 Move the variable to the left hand side and change the sign
2a= -9 + 13 collect like terms
2a=4 Divide both sides by 2
a=2
A rancher raises 5 times as many cows as horses. If he has 132 animals
let x = horses
5x = cows
x + 5x = 132
6x = 132
Divide both sides by 6
X = 22
he has 22 horses and 110 cows
There are 22 horses and 110 cows.
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical expressions."
For given question,
Let 'c' represents the number of cows and 'h' represents the number of horses.
A rancher raises 5 times as many cows as horses.
So, we get an equation,
⇒ c = 5 × h .................(i)
There are 132 animals.
So, we get an equation,
⇒ c + h = 132 ..................(ii)
Substitute the value of c = 5h in equation (ii)
⇒ c + h = 132
⇒ 5h + h = 132
⇒ 6h = 132
⇒ h = 22
This means, there are 22 horses.
Substitute the vale of h in equation (i),
⇒ c = 5 × h
⇒ c = 5 × 22
⇒ c = 110
This means, there are 110 cows.
Therefore, there are 22 horses and 110 cows.
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9x10^2 which sentence matches the question assigned
The computation of the index shows that the value of 9 × 10² will be 900.
How to calculate the indices?From the information given, we are told to calculate the value of 9 × 10². This will be calculated thus:
= 9 × 10²
Note that 10² simply means that you've to multiply 10 twice. This will be:
= 10 × 10 = 100
Therefore, 9 × 10² will be:
= 9 × 100
= 900
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Evaluate the expression 3.2-4
Answer: -0.8
Step-by-step explanation:
3.2 - 4 = -0.8
On a coordinate plane, a straight red line with a negative slope, labeled g of x, A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?
Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.
Both plans cost the same when 22 texts are sent.
Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.
Both plans cost the same when 50 texts are sent.
Answer: Both plans cost the same when 50 texts are sent.
Step-by-step explanation:
When x=50 (meaning 50 texts are sent), the y coordinate (which represents the cost) is the same.
The gates of an amusement park are closely monitored to determine whether the number of people in the amusement park ever poses a safety hazard. On a certain day, the rate at which people enter amusement park is modeled by the function e(x)=0.03x^3+2, where the rate is measured in hundreds of people per hour since the gates opened. The rate at which people leave the amusement park is modeled by the function l(x)=0.5x+1, where the rate is measured in hundreds of people per hour since the gates opened. What does (e−l)(4) mean in this situation?
The meaning of (e−l)(4) in this situation is that there are 92 people in the amusement park 4 hours after the gates open.
How to explain the value?e(x) = 0.03x³ + 2
l (x) = 0.5x + 1
Therefore, ( e - l) = [ .03x^3 + 2 ] - [ .5x + 1 ] will be:
= 0.03x³ - 0.5x + 1
Therefore, (e - l ) (4) = 0.03(4)³ - 0.5(4) + 1 = 92
Therefore, it means that 4 hours after the park opens, the rate that the number of people is changing is 92 people per hour
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Which of the following is a logical conclusion to the conditional statements
below?
If it is a hamburger, then it is a sandwich.
If it is a sandwich, then it can be held in your hands.
Answer:
If it is a hamburger, it can be held in your hands.
Step-by-step explanation:
18. Identify the constant term in the algebraic expression
*
A.-1
B. 1
C. -2
D. 2
Answer:
A.-1 is the constant termConstant term of an algebraic expression: A term of an algebraic expression which has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.
For examples, in the algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression. therefore from the above algebraic expression 2x²+x-1, -1 will be the constant term
I need help please anyone ?!!!
the cost of catering a dinner is $11.95 per person plus a $25 for delivery and setup . which statement is true about the graph of the function the represents the average cost per person
Answer:
45.98
Step-by-step explanation:
there ya go I did this before so I know the correct answer
Determine a matriz x sabendo que:
(1 5) * X ( 6 8)
Answer:
es esta 1/5 y 6/8 o 15 y 68?