Answers
(√3 + 2√3) + √7
Step 2. Simplify
3√3 + √7
That's all.
Related Questions
A fireworks company has two types of rockets called Zinger 1 and Zinger 2. The polynomial -16t2 + 150t gives the height in feet of Zinger 1 at t seconds after launch. The polynomial -16t2 + 165t gives the height of Zinger 2 at t seconds after launch. If the rockets are launched at the same time and both explode 6 seconds after launch, how much higher is Zinger 2 than Zinger 1 when they explode?
Answers
f(Z₁) = -16t² + 150t
f(6) = -16(6)² + 150(6)
f(6) = -16(36) + 900
f(6) = 324 feet
f(Z₂) = -16t² + 165t
f(6) = -16(6)² + 165(6)
f(6) = 414 feet
The height of Zinger 2 minus the height of Zinger 1 = 414 - 324 = 90 feet
Answer: Zinger 2 is 90 feet higher than Zinger 1
How do I prove the corresponding angles theorem?
Answers
Final answer:
The corresponding angles theorem states angles in matching corners are equal when two parallel lines are intersected by a transversal. To prove this, use properties of parallel lines and transversals, and various established theorems. Euclidean postulates are employed, rather than the Pythagorean theorem or trigonometry.
Explanation:
To prove the corresponding angles theorem, one must understand that when two parallel lines are intersected by a transversal, the angles in matching corners are equal. These are called corresponding angles. For instance, suppose you have two parallel lines L1 and L2, and a transversal T that intersects them at points A and B respectively. The angle ∠PAB on line L1 would correspond to angle ∠QBA on line L2, and they would be equal.
To provide a mathematical proof, one would typically use properties of parallel lines and transversals, or other established theorems such as the alternate interior angles theorem or the exterior angle theorem. By proving all these other angles are equal due to their relationships with each other (alternate interior, consecutive interior, alternate exterior angles, etc.), one can by default establish that corresponding angles must also be equal.
Proof of this theorem often involves constructing supplementary and congruent angles and using the postulates of Euclidean geometry. The Pythagorean theorem and trigonometry need not be involved in this proof unless one is working with right triangles formed by the transversal and the parallel lines, or if dealing with more complex geometric problems.
Which conjunction or disjunction is equivalent to the this inequality?
5-3 |p+4| <= -10
p + 4 ≤ 5 AND p + 4 ≥ -5
p + 4 ≤ 5 OR p + 4 ≥ -5
p + 4 ≥ 5 OR p + 4 ≤ -5
p + 4 ≥ 5 AND p + 4 ≤ -5
Answers
=> (2) |p + 4| ≤ - 10
=> | p -4 | ≤ 10 / 2
=> | p - 4 | ≤ 5
=> (p + 4) ≤ - 5 and -(p+4) ≤ - 5
- (p + 4) ≤ - 5 is equivalent to p + 4 ≥ 5
So, the answer is p + 4 ≤ - 5 and p + 4 ≥ 5. That is the fourth option
p + 4 ≥ 5 AND p + 4 ≤ -5.
Find the measure of <1 https://dlap.gradpoint.com/Resz/~Oiy9AAAAAAAalw2BXk3OdA.9zC7krSp46P2biI_hAq6AC/213679,9DE,0,0,0,0,0/Assets/testitemimages/geometry_b/area/mc050-1.jpg
Answers
Michaela climbed up a mountain at an Average speed of 3 mi/h. She climbed down at an average speed of 5 mi/h. What is Michaela's average speed for the entire trip? Round to the nearest tenth
Answers
= 3.75 mi/hr
To find Michaela's average speed for the entire trip, we need to calculate the total distance traveled and the total time taken. The average speed can be calculated as (2D) / (D/3 + D/5), which is approximately 3.53 mi/h.
Explanation:To find Michaela's average speed for the entire trip, we need to calculate the total distance traveled and the total time taken.
Let's assume the distance she climbed up the mountain is D. The distance she climbed down is also D since she retraced her steps. The average speed for climbing up is 3 mi/h and the average speed for climbing down is 5 mi/h.
The total distance is 2D and the total time is D/3 + D/5. Therefore, the average speed can be calculated as (2D) / (D/3 + D/5).
Simplifying this expression gives us the average speed as 3.53 mi/h (rounded to the nearest tenth).
Alana bought a stock, which dropped 10% from the previous day. the total cost of her stock, with the price drop, was $253.10. Which equation could she use to find the price of the stock before the price drop?
A.)z=253.10+0.10
B.)0.10z=253.10
C.)z+0.10(z)=253.10
D.)z-0.10(z)=253.10
Answers
Alana's total cost with the price dropped included is $253.10. This means that we can write the equation:
total cost with the price drooped=price of the stock before the price dropped - the dropped price
$253.10=Z-0.10(Z)
or, rewritten:
D.)z-0.10(z)=253.10
z-0.10(z)=253.10
Factor the expression completely over the complex numbers.
x4−625
Answers
Which value is equivalent to x+4/4+x
Answers
Answer:
Step-by-step explanation:
Alright, lets get started.
Given that:
[tex]\frac{x+4}{4+x}[/tex]
Using commutative property, 4+x = x+4,
so
[tex]\frac{x+4}{x+4}[/tex]
Both numerator and denominator has same value, hence they could be cancelled.
So,
[tex]\frac{x+4}{x+4} = 1[/tex]
Hence the answer is 1 : Answer
Hope it will help :)
Answer:
c
Step-by-step explanation:
the answer is 1
(c)100 pts Mrs. Carothers looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.
Answers
880 / 1195 * 100
= 73.64
= 74% (Round to the nearest whole percent)
it's increased 74%
(880/1195)×100=73.64%
Graph the system of constraints and find the value of x and y that maximize the objective function.
Answers
We want to maximize C, which is C= 7x - 3y. Let's explore our intuition regarding how this will look. We know that both y and x are greater than or equal to zero, which means -3y will be a negative number (or 0) and x is a positive number (or 0). We want to get x as big as possible, given the constraints, we want y to be zero, if possible
We see that, based on the constraints, y is greater than or equal to zero,
but it has no other minimum value established. We only know that y and x add up
to 5, and that y is less than or equal to (1/5)x + 2. That means y could be
0 and still satisfy the constraints.
In order to maximize C, we want to be 5 as possible
and y to be zero:
C = 7 (5) - 3(0)
C=35
Answer: Solving Systems Using Matrices Quiz Part 1
1. c) (5,0)
2. a) 20 of type A; 20 of type B
3. d) no solution
4. a) -5
5. d) 11 -12 7 5 12 -7
6. a) (-6,8)
The graph shows the value of a car at different years after Joanna purchased it.
Which answer is the best estimate for the average rate of change between Year 9 and Year 14?
−$75/year
−$130/year
−$250/year
−$325/year
Answers
Answer:
the answer is 130 year.
Step-by-step explanation:
Answer:
I can verify that this answer is correct!
What is the answer to this math problem below:
Answers
x+8/2 * 5/3x+24
then simplify
3x+24 = 3(x+8)
now cancel like terms
(x+8 cancels) / 2 * 5 / 3 (x+8 cancels)
you are left with
2*5/3
10/3
or 3 1/3
Find the product. Estimate to check if ur answer is reasonable
538 × 46=
Answers
Hopefully it's the right answer.
solve
5t < -15
^^^(the < sign has a line underneath along with the answers)
A. t > 3
B. t < 3
C. t > -3
D. t < -3
Answers
A triangle has two sides of length 2 and 17. what is the smallest possible whole-number length for the third side?
Answers
A rectangular sandbox has a width of 5 feet. The sandbox is 5 times as long as it is wide. what is the perimeter of the sandbox?
Answers
25+25+5+5=60
Perimeter= 60ft
Hope this helps you out! Have an AWESOME rest of your day!
When seven times a number is decreased by 66 the result is 50. what is the number?
Answers
what formula can be used to describe the sequence ?
Answers
The formula which can be used to describe the sequence is:
[tex]f(x+1)=2f(x)[/tex]
Step-by-step explanation:The sequence is given by:
[tex]-2\dfrac{2}{3},-5\dfrac{1}{3},-10\dfrac{2}{3},-21\dfrac{1}{3},-42\dfrac{2}{3},.....[/tex]
The terms of the sequence could also be written as:
[tex]\dfrac{-8}{3},\dfrac{-16}{3},\dfrac{-32}{3},\dfrac{-64}{3},\dfrac{-128}{3},....[/tex]
This means that the first term of the sequence is:
[tex]f(1)=\dfrac{-8}{3}[/tex]
The second term of the sequence is:
[tex]f(2)=\dfrac{-16}{3}\\\\i.e.\\\\f(2)=2\times \dfrac{-8}{3}\\\\i.e.\\\\f(2)=2f(1)[/tex]
[tex]f(3)=\dfrac{-32}{3}\\\\i.e.\\\\f(3)=2\times \dfrac{-16}{3}\\\\i.e.\\\\f(3)=2f(2)[/tex]
and so on.
Hence, the formula is given by:
[tex]f(x+1)=2f(x)[/tex]
Help pleaseeeeeeeeeeeeeeeeeeeeeee
Answers
What two numbers have the product of -135 and the sum of 6?
Answers
1 and 135
3 and 45
5 and 27
9 and 15
Remember the rules for multiplication involving negatives:
Multiplying a negative with a negative will always be positive.
Multiplying a negative with a positive will always be negative.
So in order for the product to be -135, one number of each factor pair will need to be negative.
Step 2: Figure out which factor pair will add together to get the sum of 6
(Remember at least one from each pair will be negative)
Part A:
1 + (-135) = -134
3 + (-45) = -42
5 + (-27) = -22
9 + (-15) = -6
Part B:
135 + (-1) = 134
45 + (-3) = 42
27 + (-5) = 22
15 + (-9) = 6
(Knowing that the sum of adding a larger negative number to a smaller positive number will be negative, will make this a bit faster because you would just skip to Part B)
The sum of 15 and -9 is 6. So there is the answer.
You can also check it, just to make sure it's the correct answer.
15 × (-9) = -135
15 + (-9) = 6
is the function f(x)=4-7x^5 a polynomial function? if so state its degree and leading coefficient
Answers
Answer:
Degree would be 5 and leading coefficient is -7
Step-by-step explanation:
To identify the leading look for the number with the biggest power. The degree is the power and the leading is the main number.
Yes, the function f(x) = 4 - 7x^5 is a polynomial function with a degree of 5 and a leading coefficient of -7.
Explanation:Yes, the function f(x) = 4 - 7x5 is a polynomial function.
A polynomial function is a function where the variable (x) is raised to a non-negative integer power and multiplied by coefficients. In this case, x is raised to the power of 5 which is a non-negative integer.
The degree of a polynomial function is the highest power of the variable. In this case, the degree of the function is 5.
The leading coefficient is the coefficient of the term with the highest power of the variable. In this case, the leading coefficient is -7.
Learn more about Polynomial function here:https://brainly.com/question/30474881
#SPJ2
Is this right? Domain and range of a function
Answers
Nice work on getting the correct answer.
Factor. 2xy+5x−12y−30
Answers
x(2y + 5) - 6( 2y + 5)
(2y+5) (x-6)
this is the anwser to your problem
(2y+5)(x-6)
Share £24 in the ratio 3:5
Answers
3/8(24) = 72/8 = 9 <=
5/8(24) = 120/8 = 15 <=
3/8 * 24 = 9
5/8 * 24 = 15
Hope this helps!
Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.
Answers
Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.
For time efficiency and to get a more precise solution.
Why a graphing calculator is better than graphing by hand?
There are two reasons.
1) In a graphing calculator you only need to input the functions and that's all, it will graph the functions for you, so it needs a lot less time than graphing by hand.
2) When you graph by hand, there is a limit in how much of an exact solution you can get (and there may be a mistake if the line is to thick or something like that). While in a graphing calculator you can find the exact point where the graphs intersect, so you will get a more precise solution with a graphing calculator.
These are the two reasons why using a graphing calculator may be better than graphing by hand.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
What is descriptive statistics and inferential statistics?
Answers
Inferential statistics utilizes data in such a way that allows us to make predictions, generalizations, and inferences about a population from samples taken. Here, we can compare, predict, and test data in order learn about a population.
Hope this helps.
Descriptive statistics is a one type of statistics which involve generalization of conclusions from small selected samples.
Inferential statistic is atype of statistic which involve summarization of data in numerical form.
John surveyed 30 members of a country club. He found that 9 members had signed up for tennis.
What is the experimental probability that the next member surveyed will sign up for tennis?
A.
0.3
B.
0
C.
0.7
D.
1
Answers
The experimental probability that the next member surveyed will sign up for tennis is 0.3, based on the current data where 9 out of 30 members have signed up.
The question is asking for the experimental probability that the next member surveyed at the country club will sign up for tennis based on a survey of 30 members where 9 had already signed up for tennis.
To calculate the experimental probability, you divide the number of members who have signed up for tennis by the total number of members surveyed. So, the calculation would be:
Number of members who signed up for tennis: 9Total members surveyed: 30The experimental probability is then calculated as 9/30, which simplifies to 0.3. Therefore, the correct answer is:
A. 0.3
I have time until Friday, December 1. Please help me!! I’m really confuse with problem. Question is “Find the measure of the angle marked «X» ” Thank u in advance!!!!!
Answers
∠D + 60 + 50 = 180
∠D + 110 = 180
∠D + 110 (-110) = 180 (-110)
∠D = 70
Due to vertical angles (theorem?), the ∠FDE is also 70°
to find ∠DFE, find ∠BDF
∠BDF = 180 - 70 (this 70 is from ∠D)
∠BDF = 110
∠BFD = 180 - 110 - 20
∠BFD = 50
∠D = 70
ΔFDE = x + 70 + ∠F
ΔAD'E = 180
∠D' = 70
∠DFC = 110
angle bisector states that it makes two equal angles
110/2 = 55
∠DFE= 55
180 - 70 - 55 =
180 - 125 =
55
x = 55°
I'm hoping that this is right
& hope this helps
Can someone please graph this equation? 5-8x =16-8x
Answers
5 - 8x = 16 - 8x
Add 8x to both sides.
5 + 0 = 16
5 = 16
This line is not possible to graph.
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
Answers
Answer:
the next term is -1
Step-by-step explanation:
A sequence is defined recursively by the formula
[tex]f(n + 1) = f(n) + 3[/tex]
The first term of the sequence is –4.
When n=1 then f(1)=-4
Now we find out the next term
We need to find f(2)
To find f(2) plug in 1 for n in the recursive formula
[tex]f(n + 1) = f(n) + 3[/tex]
[tex]f(1 + 1) = f(1) + 3[/tex]
f(1) is -4
[tex]f(1 + 1) = -4 + 3[/tex]
[tex]f(12) =-1[/tex]
So the next term is -1
Answer:
b. -1
Step-by-step explanation: