(g) (2 sin 60°)(3 kos 60°) + 3 tan 30°
Answer:
[tex](2 \ sin 60)(3\ cos 60) +3\ tan 30\ =\ \frac{5\sqrt3}{2}[/tex]
Step-by-step explanation:
[tex](2 \ sin 60)(3 \ cos 60) + 3\ tan 30\\\\= (2 \times \frac {\sqrt3}{2}) (3 \times \frac{1}{2})+ (3 \times \frac{1}{\sqrt3})\\\\=(\sqrt{3}\ \times \frac{3}{2})+ \frac{3}{\sqrt3}\\\\=\frac{3\sqrt3}{2}+\frac{3}{\sqrt3}\\\\=(\frac{3\sqrt3}{2} \times \frac{\sqrt3}{\sqrt3})+(\frac{3}{\sqrt3} \times \frac{2}{2})\\\\=\frac{3\times (\sqrt3)^2}{2\sqrt3}\ + \ \frac{6}{2 \sqrt3}\\\\=\frac{3 \times 3}{2 \sqrt3} +\frac{6}{2 \sqrt3}\\\\=\frac{9+6}{2\sqrt3}\\\\=\frac{15}{2\sqrt3} \times \frac{\sqrt3}{\sqrt3}\\\\[/tex]
[tex]=\frac{15 \sqrt3}{2 \times (\sqrt{3})^2}\\\\=\frac{15 \sqrt 3}{2 \times 3}\\\\=\frac{5\sqrt3}{2}[/tex]
Can someone help me with this math homework please!
Answer:
#1: (D) all real numbers greater than or equal to -3
#2: (D) It is not a function because there are two different y-values for a single x-value
#3: (A) all real numbers
#4: (B, C)
#5: (B) {y | y = -9, -3, 0, 5, 7}
Step-by-step explanation:
Question 1:
The domain of the function is all the input values, or the x values. The graph extends all the way to right infinitely. However, to the left, it ends at -3. Because the dot is filled, that means the domain INCLUDES -3. So it's (D).
Question 2:
By definiton, a function is a relation between a set of inputs and a set of outputs. However, each input only has ONE output.
If you noticed, there are two points: (4, 4) & (4, -2)
There are two different y-values, 4 & -2, for one x-value, 4.
Question 3:
The graph extends infinitely both directions, so it's all real numbers.
Question 4:
The amount of water DEPENDS on the amount of rice you put in, so the amount of water is the dependent variable. The rice doesn't depend on the amount of water, so it's the independent variable. (By the way, it's not the last option because you need two options)
Question 5:
The range of the function is the y values. So you are only going to put the y values from the coordinate points in the range. Thus, (B) is the answer.
Hope it helps (●'◡'●)
convert 1100111 into decimal numbers
Answer:
103 is my answer.
Step-by-step explanation:
hope it helps
What are the zeroes of f(x) = x^2 + 5x + 6? (4 points)
A) x = -2, -3
B) x = 2,3
C) x= -2,3
D) x = 2, -3
Answer:
the answer is A, if you need explanation comment
Step-by-step explanation:
can someone help me with this and give an explanation on how to do it? So i can know with the others.
Answer:
Values of y in order: 0, 2, 4, 6
Step-by-step explanation:
Hi there!
In the table, the first value of x is -2. To find the value of y for this row of the table, we can use the given equation [tex]y=2x+4[/tex].
[tex]y=2x+4[/tex]
Plug in -2 as the value of x
[tex]y=2(-2)+4\\y=-4+4\\y=0[/tex]
Therefore, y is 0 when x is -2. (In the table, in the row where x is -2, y would be 0.)
We repeat this process for the rest of the values in the table.
When x=-1:
[tex]y=2(-1)+4\\y=-2+4\\y=2[/tex]
When x=0:
[tex]y=2(0)+4\\y=0+4\\y=4[/tex]
When x=1:
[tex]y=2(1)+4\\y=2+4\\y=6[/tex]
I hope this helps!
i really need someone’s help on this one asap.
Answer:
(3,-19)
Step-by-step explanation:
To find the approximation where both functions equal, find where both lines intersect at. Both lines intersect in the Fourth Quadrant so The first 2 are wrong.
The y coordinate is lesser than -10 so the 4th one is wrong.
The answer is (3,-19)
Explanation:
The solution to f(x) = g(x) is where the f(x) and g(x) curves cross, aka the intersection point.
Based on the graph alone, it's a bit tricky to tell where they cross. Luckily, your teacher gave you multiple choices to pick from. We can rule out choices A and B since x < 0 here, but the x coordinate of the intersection is positive.
Choice D can be ruled out because the intersection point has a y coordinate such that -20 < y < -15. It looks like y is much closer to -20 than it is to -10. So there's no way to have y = -8 happen.
The only thing left is choice C. It appears that the intersection point could be (3,-19).
Find the value of x.
a. 22.5
b. 7
c. 9.28
d. 21.125
Answer:
7
Step-by-step explanation:
Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In this case:
(4x + 7) + (97) = (17x + 13)
4x + 104 = 17x + 13
4x + 91 = 17x
91 = 13x
7 = x
Kato must write 60 percent of a 20- page report by tommorow. Kato wants to determine the number of pages that he needs to write by Tommorow. Katos work is shown below
Answer:
60% of 20 pages = .6 * 20 = 12 pages
Step-by-step explanation:
If the battery costs $75 and has a life of 300 charge-discharge cycles, what is the cost of the energy in dollars per kilowatt hour
Answer:
I'm sorry but no idea
Step-by-step explanation:
No idea
You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?
Answer:
y=40x+25
plz mark brainliest
he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places. (a) What is the probability that more than three aircraft arrive within an hour? Enter your answer in accordance to the item a) of the question statement (b) If 30 separate one-hour intervals are chosen, what is the probability that no interval contains more than three arrivals? Enter your answer in accordance to the item b) of the question statement
Answer:
A) 0.019
B) 0.563
Step-by-step explanation:
a) We will use Poisson distribution formula to solve this;
The formula is given as;
P(X = x) = ((e^-λ) × (λˣ))/x!
Mean is 1. Thus;
λ = 1 aircraft/hour.
Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)
Thus;
P(X > 3) = 1 - P(X ≤ 3)
Thus;
1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
Solving through online calculator, we have;
P(X > 3) = 1 - 0.98101
P(X > 3) = 0.01899
To 3 decimal places, we have; P(X > 3)= 0.019
b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;
P(X ≤ 3) = 1 - P(X > 3)
P(X ≤ 3) = 1 - 0.01899
P(X ≤ 3) = 0.98101
Since there are 30 one-hour intervals, then we have;
Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;
(P ≤ 3) = (0.98101)³⁰
(P ≤ 3) = 0.5626
Approximating to 3 decimal places, we have;
(P ≤ 3) = 0.563
4.2.4 practice: Modeling: Slope intercept equation of a line
Given:
Modeling: Slope intercept equation of a line
To find:
The slope intercept equation of a line.
Solution:
The slope intercept equation of a line is defined as:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
It means the line intersects the y-axis at (0,b).
For example: The slope of a line is 2 and its y-intercept is 1, then the slope intercept of the line is:
[tex]y=2x+1[/tex]
Therefore, the slope intercept form of a line is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
if P = (1,6) find r90° (P)
Answer:
(-6,1) got you homie
Step-by-step explanation:
Helpppp me plzzzzzzxzz
Find the sum -2/3+0 Pls answer right
Answer:
[tex] - 1[/tex]
-1 is the answer in your questions
Answer:
[tex] - \frac{2}{3} [/tex]
Step-by-step explanation:
[tex] \frac{ - 2}{3} + 0[/tex]
when adding or subtracting by 0, the value does not change.
[tex] = \frac{ - 2}{3} = - \frac{2}{3} [/tex]
Sales tax is 6% using only one term write an expression to represent the discounted price of the phone including tax.
The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%
Answer:
0.848p
Step-by-step explanation:
Price of phone = p
Sales tax = 6%
Discount on sale = 20%
With a 20% discount, the discounted price of the phone will be :
100%p - 20%p = 80%p = 0.8p
The sales tax will increase the price thus ;
0.8p + 6% of 0.8p
0.8p + 0.06 * 0.8p
0.8p + 0.048p
The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p
40 pointsanad brainliest for this, it's really important!
Step-by-step explanation:
C = 6 n + 4,500
the set up cost is represented by the initial value of the function, which is $4,500.
the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.
y4+5y2+9 factorise please help me
[tex]\displaystyle\ y^4 +5y^2+9=(y^2+3)^2-y^2=(y^2-y+3)(y^2+y+3)[/tex]
Answer:
Solution given;
[tex] y^{4}+5y²+9[/tex]
keeping [tex]y^{4} and 9 together [/tex]
[tex]y^{4}+9+5y²[/tex]
[tex](y²)²+3²+5y²[/tex].....[I]
we have
a²+b²=(a+b)²-2ab
or
a²+b²=(a-b)²+2ab
same like that
[tex](y²)²+3²=(y²+3)²-6y² or (y²-3)²+6y²[/tex]
remember that while adding or subtracting the left term 5y² either adding 6y²or subtracting 6y²
should make the term perfect square
while subtracting it makes perfect square
so
we take
(y²)²+3²=(y²+3)²-6y²
again
substituting value of
(y²)²+3² in equation 1 and it becomes
(y²+3)²-6y²+5y²
solve like terms
(y²+3)²-y²
again
we have
a²-b²=(a+b)(a-b)
by using this.
(y²+3+y)(y²+3-y)
rearrange it
(y²+y+3)(y²-y+3) is a required factorisation form.
Helpppppppppppppppppp
Answer:
x = -7
Step-by-step explanation:
We have
PQ = (x+14)
QR = (x+12)
PR = 12
We can see that, PQ+QR = PR
So,
x+14+x+12 = 12
Solving for x.
2x = -14
x = -7
So, the value of x is equal to -7.
The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(–3, –1)
(–3, 5)
(–3, 5) and (–1, 9)
(1, 13) and (3, 20)
Answer:
(–3, 5) and (–1, 9)
Step-by-step explanation:
if you just plug the numbers in they fit :)
The solution of the system of equations is (–3, 5) and (–1, 9).
What is the System of the equation?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
The solution of a system of equations is the point where the line of the equations intersects, therefore, the solution of the system of equations is (–3, 5) and (–1, 9).
Learn more about the System of equations:
https://brainly.com/question/12895249
#SPJ2
What is the volume of the cone to the nearest whole number?
Answer:
the volume of the cone is 60
Step-by-step explanation:
12×5=60
A rectangle's width is one-fifth it's length, and it's perimeter is 72m.Find the dimensions of the rectangle
The difference between the set of non-negative real numbers and the set of positive real numbers is:
A.an infinite set B.a null set C.a singleton set D.Null set
Answer:
C; A singleton set
Step-by-step explanation:
Mathematically, when a number is non-negative; it is either positive or zero
Now, this is because 0 identifies as neither a positive or a negative number
hence, when we find the difference between the two sets, the only number that stands out unmatched is the value 0
What this mean is that we are having a set with a single number result
So we have our answer as {0}
Which is a singleton set
Determine the period.
N
10
Hello,
f(x+5)=f(x)
Periode is 5
Answer:
It's 4 on acellus, not 5 :)
Step-by-step explanation:
Find the length of JD
A. 23
B. 19
C. 46
D. 30
The length of JD is 19
What is length of a line?The distance between two ends of a line segment can be used to calculate its length. It is the path that connects the two points and has a known length.
Given
JD = JP-DP = 57-38 =19
To learn more about line refer to:
https://brainly.com/question/22263461
#SPJ2
Someone please answer this
Answer:
(x - 1)(5x - 6)
Step-by-step explanation:
Given
5x² - 11x + 6
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 5 × 6 = 30 and b = - 11
The factors are - 5 and - 6
Use these factors to split the x- term
5x² - 5x - 6x + 6 ( factor the first/second and third/fourth terms )
= 5x(x - 1) - 6(x - 1) ← factor out (x - 1) from each term
= (x - 1)(5x - 6)
what is the mid point of AB?
Answer:
G
Step-by-step explanation:
I did this on edge and it was right
Answer:
O Point G
Step-by-step explanation:
A = -6
B = 8
To find the midpoint, calculate how much would it take for both points to have a value of zero.
-6 + ? = 0
-6 + 6 = 0
8 - ? = 0
8 - 8 = 0
so the midpoint will be about 7 (between 6 & 8)
Now which of the points best shows 7 units apart of AB
Answer: point G
charlie drove 208 miles in 4 hours at a constant speed He continues at that speed give the equation that shows the relationships between driving hours and mies driven
Answer:
M = 52* H
"miles equals 52 times hours driven"
Step-by-step explanation:
A triangle has a base of 15 inches and an area of 60 square inches. What is the height of the triangle? In
your final answer, include all of your calculations.
Hi there!
[tex]\large\boxed{h = 8in}[/tex]
Area of a triangle:
A = 1/2(bh)
Plug in given values:
60 = 1/2(15h)
Solve for h. Multiply both sides by 2:
120 = 15h
Divide both sides by 15:
120/15 = h
h = 8 in
Answer:
8 inches
Step-by-step explanation:
1. BasicsArea of a triangle: [tex]\frac{1}{2}BH[/tex]
2. Solving[tex]\frac{60}{15} *2[/tex][tex]4*2=8[/tex]2. Checking[tex]\frac{1}{2}(8)(15)=\frac{1}{2} (120)=60[/tex] CORRECT
8 inches
Hope this helped! Please mark brainliest :)
HELP ASAP 10 POINTS AND BRAINLIST
Step-by-step explanation:
hope it helps you...........