Answers
Answer:
a) 1.73
b)1.32
Step-by-step explanation:
y = f(x) = 3^x
f(1/2) = 3^1/2 = √(3) = 1.73
f(1/4) = 3^1/4 = 1/4√3 = 1.32
Related Questions
What angle in radians is subtended by an arc of 1.60 mm in length on the circumference of a circle of radius 2.54 mm
Answers
Answer:
α = 0.63 radians
Step-by-step explanation:
We are given;
Length of arc; L = 1.6 mm
Radius; r = 2.54 mm
The arc length equation is given by;
L = αr
Where;
L is length of arc
r is radius
α is angle in radians
Thus;
α = L/r
α = 1.6/2.54
α = 0.63 radians
Carlos is 46 years old, 5’10” and weighs 225 pounds. He has diabetes and dislikes taking his diabetes medications. What wellness strategy would his doctor most likely recommend to help him reduce his diabetes medications?
A.
lose weight
B.
use stress management techniques
C.
get immunized
D.
brush his teeth regularly
E.
increase his daily fruit intake
Answers
When do you need to state a domain in your final answer?
Answers
Answer:
Not sure what you are asking.
Domain is all x values .
It can be stated in coordinates (x,y). X is the input. Y is output
It can be stated in Domain Notations such as {x | x ≥ 0}
Can someone help with this problem
Answers
which one.
................................
Step-by-step explanation:
................
Answer:
x = 15
Step-by-step explanation:
If A parallel to B then ∠ 2 and ∠ 4 are same- side interior angles and sum to 180° , then
2x + 10 + 4x + 80 = 180 , that is
6x + 90 = 180 ( subtract 90 from both sides )
6x = 90 ( divide both sides by 6 )
x = 15
The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?
City Altitude (feet)
Snowvale 13
Highbridge 58
Westsilver -51
Springmoor -35
A.
58, 13, -35, -51
B.
-51, -35, 13, 58
C.
-35, -51, 13, 58
D.
58, 13, -51, -35
Answers
Answer:
Step-by-step explanation:
i think A
Hope this helps!
Express these numerals in the expanded form of power 10. (4) a. 5060 b.6079000 2. How many millions are there in 3 crore?(1) 3.What is the greatest number of 6 digits?(1) 4.What is the least number formed by 5 digits 4,1,8,0,7?(1) 5. Simplify: a. 18 - 7 + 9* 48/6 - 5 (1) b. 72/ 12 [ 180/4{10 +(15 - 45 /9*2)}]
Answers
Answer:
[tex]a)\ 5.06 * 10\³[/tex]
[tex]b)\ 6.079 * 10^6[/tex]
[tex]c)\ 3\ crore = 30\ million[/tex]
[tex]d)\ 999999[/tex]
[tex]e)\ 10478[/tex]
[tex]f)\ 78[/tex]
[tex]g)\ 2730[/tex]
Step-by-step explanation:
Solving (a): 5060 as a power of 10
We simply move the decimal between 5 and 6. The number of zeros to move backward is 4.
So,
[tex]5 0 6 0 = 5.06 * 10^3[/tex]
Solving (b): 6079000 as a power of 10
We simply move the decimal between 6 and 0. The number of zeros to move backward is 4.
So,
[tex]6079000 = 6.079 * 10^6[/tex]
Solving (c): 3 crore to millions
[tex]1\ crore = 10\ million[/tex]
Multiply by 3
[tex]3\ crore = 30\ million[/tex]
Solving (d): The greatest 6 digits
The greatest unit digit is 9. So, we simply write out 9 in 6 places
[tex]Greatest= 99999[/tex]
Solving (e): The least 5-digit formed from 4,1,8,0,7
To do this, we start the number from the smallest non-zero digit.
The remaining 4 digits will then be in an increasing order
So, we have:
[tex]Least = 10478[/tex]
Solving (f):
[tex]18 - 7 + 9 * \frac{48}{6} - 5[/tex]
Using BODMAS
Evaluate the division, first
[tex]18 - 7 + 9 * 8 - 5[/tex]
Then multiplication
[tex]18 - 7 + 72 - 5[/tex]
Add up the remaining digits
[tex]78[/tex]
Solving (g): This question is not clear.
I will assume the expression is:
[tex]\frac{72}{ 12}* [ \frac{180}{4}*{10 +(15 - \frac{45}{9}*2)}][/tex]
Evaluate all divisions
[tex]6* [ 45*{10 +(15 - 5*2)}][/tex]
Solve the multiplication in brackets
[tex]6* [ 45*{10 +(15 - 10)}][/tex]
Remove the inner bracket
[tex]6* [ 45*{10 +5}][/tex]
Evaluate 45 * 10
[tex]6* [ 450 +5}][/tex]
Remove the bracket
[tex]6* 455[/tex]
Multiply
[tex]2730[/tex]
translate the sentence into an equation
three more than the quotient of a number and 2 is 9
Answers
Answer:
Well the correct answer is 9=2+(x/3) or
(3/x)+2=9
find the missing lengths in the triangle. round to the nearest tenth if necessary
Answers
Answer:
[tex]x=8,\\y\approx 6.9[/tex]
Step-by-step explanation:
The side lengths of all 30-60-90 triangles are in ratio [tex]x:x\sqrt{3}:2x}[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.
In the given diagram, the side labelled 4 is opposite to the 30 degree angle. Since [tex]x[/tex] is labelled as the hypotenuse of the triangle, [tex]x[/tex] must be [tex]4\cdot 2=\boxed{8}[/tex].
Variable [tex]y[/tex] must then represent [tex]x\sqrt{3}[/tex] for [tex]x=4[/tex], yielding [tex]y=4\sqrt{3}\approx \boxed{6.9}[/tex]
Solve the quadratic equation by factoring. Show your work and explain the steps you used to solve. 6x2 + 11x + 3 = 0
Answers
Answer:
6 x 2 = 8 + 11 = 19 x 3 = 57
Step-by-step explanation:
use the diagram to compute the perimeter and area of the triangle.
Answers
Answer:
The area is 22.5 units
The perimeter is 24.3 units
Step-by-step explanation:
The formula for the area of a triangle is A=bh(1/2)
So, base*height (5*9) is 45. Divide that by 2, and you get 22.5.
To find the perimeter, it looks like the triangle is a right triangle. To solve for that, use the Pythagorean theorem formula: a2 + b2 = c2.
5^2+9^2=c^2
25+81=106=c^2
Find the square root of 106
10.2956301
If your teacher usually asks to round, round.
I'll just round to the tenths place. 10.3
Add all the sides: 5+9+10.3
You get 24.3
Answer:
perimeter= 24.29
area=22.5
Step-by-step explanation:
a^2+b^2=c^2
5^2+9^2=106
106^(1/2)=10.29
perimeter= sum of all sides
""= 5+9+10.29
""=22.29
area= base × height ÷ 2
""= (5×9)÷2
""=22.5
Write an equation that represents the line.
Use exact numbers.
Answers
the line passes point (0, -3) and (1, -5)
the slope = (-5+3) /(1-0) = -2/1 = -2
the y-intercept = -3
so, the equation : y = -2x -3
How to solve the area of a triangle
Answers
Step-by-step explanation:
The photo which is in the attachment is an example for your question. hope this answer helps you!!Si 4/9 de los adolencentes que confirmaron su asitencia fueron varones y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron y 24 que confirmaron su asistencia si participaron ¿cuantos adolecentes en total confirmaron su asitencia?¿Cuantos adolencentes varones confirmaron su asistencia?
Answers
Answer:
216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.
Step-by-step explanation:
Dado que 4/9 de los adolescentes que confirmaron su asistencia fueron varones, y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron, y 24 que confirmaron su asistencia si participaron, para determinar cuántos adolescentes en total confirmaron su asistencia y cuántos adolescentes varones confirmaron su asistencia se deben realizar los siguientes cálculos:
5/9 x 1/5 = 24
5/45 = 24
1/45 = 4.8
4.8 x 45 = 216
216 / 9 x 5 = 120
216 / 9 x 4 = 96
Por lo tanto, en total 216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answers
Step-by-step explanation:
The solution and answer are well written in the Pic above.
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer:
[tex]\frac{\sqrt{10} }{2}[/tex]
Step-by-step explanation:
on a 45 - 45 - 90 triangle if the sides are x then the hypotenuse is x[tex]\sqrt{2}[/tex]
so,
[tex]\sqrt{5}[/tex] = x[tex]\sqrt{2}[/tex] (Divide by [tex]\sqrt{2}[/tex] )
[tex]\frac{\sqrt{5} }{\sqrt{2} }[/tex] = x (rationalize the denominator)
[tex]\frac{\sqrt{5} }{\sqrt{2} }[/tex] · [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{10} }{\sqrt{4} }[/tex] = [tex]\frac{\sqrt{10} }{2}[/tex]
The length of side is √10/2
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a 45-90-45 so if the sides are x then the hypotenuse will be x√2
From the figure the hypotenuse of triangle is √5
SO equation it to x√2
We get √5=x√2
Divide both sides by √2
√5/√2=x
As the denominator should be a whole number we have to rationalize the denominator.
Multiply numerator and denominator with √2
√5/√2×√√2/√2
√10/2
Hence, the length of side is √10/2
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
Find an equation for the perpendicular bisector of the line segment
whose endpoints are (9, -3) and (-5, –7).
Answers
Step-by-step explanation:
So here is my attempt. And i guess its correct
Tony Stark is trying to improve his Iron Man suit by increasing its power. One modification will cost $350 million, of which the US Government will pay $110 million, and his contractor will offer a 30% discount on the entire cost of the project. If he has half the remainder in petty cash, how much does he still need to raise?'
The total cost is $350 million.
The US Government is offering to pay $110 million.
A contractor is offering to reduce the total cost by 30%.
Tony has enough money to pay the remaining costs out of petty cash.
Answers
Answer:
I am a piano so yeah I'm just typing to fill the character requirement
Step-by-step explanation:
get got
does anyone know the domain and range of this?
Answers
Answer:
domain=1
range= -2
hope it helps
stay safe healthy and happy.65. A city has a population of 25,000. The population is expected to increase by 5.5% annually for the
next decade. (See Example 5)
a. Write a function that represents the
City Population
population y after t years.
УГ
40,000
35,000
30,000
25,000
b. Graph the function from part (a). Use the 20,000
graph to estimate the population after 4
15,000
years.
10,000
5000
0
0 1 2 3 4 5 6 7 8 t
Year
Population
Answers
Answer:
The answer will be 0.45%
Step-by-step explanation:
im right
I nI need help on 110 times 550
Answers
Answer:
60500
Step-by-step explanation:
110 x 550
= 60500
Answer:
60500
Step-by-step explanation:
caculator lol 110×550
Given P(A) = 0.36, P(B) = 0.2 and P(ANB) = 0.122, find the value of P(AUB), rounding to the nearest thousandth, if necessary.
Answers
Answer:
The value of P(AUB) = 0.438
Step-by-step explanation:
Given:
P(A) = 0.36
P(B) = 0.2
P(A∩B) = 0.122
Find:
The value of P(AUB)
Computation:
P(AUB) = P(A) + P(B) - P(A∩B)
The value of P(AUB) = 0.36 + 0.2 - 0.122
The value of P(AUB) = 0.56 - 0.122
The value of P(AUB) = 0.438
Z Is An Even Integar Greater Than 30 And Less Than Or Equal To 34.
Answers
Answer:
34 is greater than or equal to z which is greater than or equal to 30
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is continuous at a point, then it is differentiable at that point.
Answers
Answer:
See Explanation
Step-by-step explanation:
If a Function is differentiable at a point c, it is also continuous at that point.
but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.
the function must have one and only one tangent at x=cthe fore mentioned tangent cannot be a vertical line.And
If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.
For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.Help please!! 1. Solve the system of equations.
x + 5y = 3
3x - 2y = 6
Answers
Answer:
x = 9/2 y = 0
Step-by-step explanation:
2/3x + 5y = 3 5y = -2/3x + 3 y = -2/15x + 3/5
4/3x - 2(-2/15x + 3/5) = 6
4/3x + 4/15x - 6/5 = 6
8/5x - 6/5 = 6
8/5x = 36/5
x = 9/2
2/3(9/2) + 5y = 3
3 + 5y = 3
5y = 0
y = 0
The inequality x ≤ -8 would represent which of the following values?
{8, 5, 0}
{-6, -7, -8}
{-10, -9, -8}
None of these choices are correct.
Answers
Answer:
{-10. -9, -8}
Step-by-step explanation:
x ≤ -8 would be all values of x less than or equal to -8
x = -8, -9, -10
Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
o
A. y - (x - 1)(x+3)
B. y - (x + 1)(x+3)
O
C. y = (x - 1)(x-3)
Answers
Answer:
c: y=(x-1)(x-3)
Step-by-step explanation:
Christopher's car can drive 230 miles on a full tank of gas. He plans to drive with a full tank from Austin to Dallas, which is 195 miles. How many miles will be left once he arrives in Dallas?
Answers
Answer:
35 miles
Step-by-step explanation:
Total Miles driven at full tank = 230 miles
Miles drive at full tank from Austin to Dallas = 195 miles
How many miles will be left once he arrives in Dallas?
Number of miles remaining at full tank = Total Miles driven at full tank - Miles drive at full tank from Austin to Dallas
= 230 miles - 195 miles
= 35 miles
HELPPP SOMEONE PLEASSSSE
Answers
Answer:
c. -x -y = 5
Step-by-step explanation:
parallel means same x
In right triangle PQR, m∠Q = 90° and sin R=5/13
What is the value of cos R?
a) 5/13 b)5/12 c) 12/13 d) 12/5
Answers
Answer:
C
Step-by-step explanation:
Given
sinR = [tex]\frac{5}{13}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]
This is a 5- 12- 13 triangle with legs PQ = 5, QR = 12, hypotenuse PR = 13
cosR = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QR}{PR}[/tex] = [tex]\frac{12}{13}[/tex]
EXERCISE NA Amarutactures 1200 scooters in 18 days. How many scooters does mane in 1 day
Answers
Answer:
66
Step-by-step explanation:
he uses 66 in one day
