Answer: The rate of change is 5.
Step-by-step explanation:
Our equation is:
f(x) = x^2 + 4x + 5
And we want to find the rate of change in the range −1≤ x ≤2
when we want to find the rate between x1 ≤ x ≤ x2
we have:
Rate = (f(x2) - f(x1))/(x2 - x1)
So we have:
Rate = ( f(2) - f(-1))/(2 - 1)
Rate = (2^2 + 4*2 + 5 - (-1)^2 - 4*(-1) - 5)/3 = 15/3 = 5
The rate of change is 5.
A plane makes a return journey across the Atlantic Ocean, a distance
of 3800 km each way. From west to east the journey time is 6 hours
12 minutes. Because of the jet stream the plane takes 7 hours 18 minutes
to fly the same journey east to west.
Find the average speed of the plane for each crossing.
Answer:
Below in bold.
Step-by-step explanation:
6 hours 12 minutes = 6.2 hours
7 hours 18 minutes = 7.3 hours.
Average speed = distance / time
So for West to East, average speed = 3800 / 6.2 = 612.9 km/hour.
- and for East to West, average speed = 3800 / 7.3 = 520.5 km/hour.
These values are correct to the nearest tenth.
Which property is used in the problem below?
2(x+4)= 2x+8
O the associative property
O the commutative property
O the distributive property
O the additive identity property
Answer:
Your Answer is C
Answer:
C. the distributive property
Step-by-step explanation:
took the unit test on edge
Find the volume V of the cone. Round your answer to the nearest tenth.
-10 cm
4 cm
V
cm3
Answer:
12
Step-by-step explanation:
Un cometa es visible desde la tierra cada 24 años y otro, cada 36 años. El último año que fueron visibles conjuntamente fue en 1944. ¿En qué año volverán a coincidir?
Answer:
Ambos cometas coincidirán en 2016.
Step-by-step explanation:
(The following exercise is presented in Spanish and for such reason explanation will be held in that language).
Sean [tex]t_{1}[/tex] y [tex]t_{2}[/tex] los años en los que se hacen visibles los cometas, respectivamente. Se sabe que los cometas coinciden cuando se pueden ver el mismo año, ese año estaría asociado al mínimo común múltiplo de ambos intervalos de tiempo, el cual sería igual a 72 años. Entonces, ambos cometas volverán a coincidir en 2016.
Simplify: (2x-3)(4x+1)
Answer:
[tex]8x^2-10x-3[/tex]
Step-by-step explanation:
[tex](2x-3)(4x+1)[/tex]
[tex]2x(4x+1)-3(4x+1)[/tex]
[tex]8x^2+2x-12x-3[/tex]
[tex]8x^2-10x-3[/tex]
38,32,26,20
What is the next term in this sequence?
Answer:
Step-by-step explanation:
the next term is 14
PLEASE HELP WITH MATH
Volume is length x width x height.
Calculate the volume of each rectangle and add them together.
7.5 x 7.5 x 3.55 = 199.6875
7.5 x 3.55 x 3.55 = 94.51875
Volume = 94.51875 + 199.6875 = 294.21 cubic meters
Answer:
Volume = 294.21 cubic meters
Step-by-step explanation:
Necesito ayuda urgente, es un trabajo de matemáticas y tengo plazo hasta mañana a las 12:00 P.M hora Colombia. Ayudaaa plisss
Tengo que seleccionar la opción correcta
Answer:
La respuesta correcta es B)
Ambos son pentágonos ordinarios pero no son exactamente idénticos
If the probability that the Islanders will beat the Rangers in a game is 0.38, what is the probability that the Islanders will win at least six out of seven games in a series against the Rangers? Round your answer to the nearest thousandth.
Answer:
0.014
Step-by-step explanation:
The probability that the Islanders will win at least 6 out of seven is the probability of them winning exactly 6 games, P(X=6), added to the probability of them winning all seven games, P(X=7).
This problem can be treated as a binomial probability model with probability of success p = 0.38 in each of n = 7 games.
[tex]P(X=x) = \frac{n!}{(n-x)!x!}*p^ x*(1-p)^{(n-x)}[/tex]
Thus:
[tex]P(X=6) = 7*0.38^6*0.62\\P(X=6) =0.01307\\P(X=7) = 0.38^7\\P(X=7) =0.00114[/tex]
The probability is:
[tex]P(X\geq 6) = 0.01307+0.00114\\P(X\geq 6) = 0.014[/tex]
The probability that the Islanders will win at least six out of seven games in a series against the Rangers is 0.014.
A health club surveyed 175 members about which types of equipment they had used in the past month. Of the 175 members, 117 had used treadmills, 89 had used stationary bikes, and 53 had used both types of equipment. Some members had used neither type of equipment. Of the 175 members, how many had used treadmills, stationary bikes, or both?
Answer:
153 members
Step-by-step explanation:
Given;
117 had used treadmills
N(A) = 117
89 had used stationary bikes
N(B) = 89
53 had used both types of equipment
N(A∩B) = 53
The number of members that had used treadmills, stationary bikes, or both is;
N(A or B) = N(A) + N(B) - N(A∩B)
N(A or B) = 117 + 89 - 53
N(A or B) = 153
The number of members that had used treadmills, stationary bikes, or both is 153
Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
B
Step-by-step explanation:
These lines are parallel so they have no solutions
Answer:
Infinite Solutions
Step-by-step explanation:
When graphed, the lines overlap with each other. This means that the system has an infinite number of solutions.
how would you solve x + 3y = 18 -3x - 12y = -75 showing all of the work
Answer:
x = -3, y = 7.
Step-by-step explanation:
x + 3y = 18
-3x - 12y = -75
Multiply the first equation by 3:
3x + 9y = 54
Adding the last 2 equations to eliminate x:
-3y = -21
y = 7.
Substitute y = 7 into the first equation:
x + 3(7) = 18
x + 21 = 18
x = 18 - 21
x = -3.
Easy question for y’all math people, easy points. Question in photo :)
Answer:it would be D
Step-by-step explanation:
Input would be the x and output the y
Answer: D
Step-by-step explanation: The input is X, Output is Y
one expression that is equivalent to this sum is 18+12
Answer:
30+0
Step-by-step explanation:
18+12=30, 30+0= 30.
out of 6,29 and 22 which 2 or 3 numbers which ones are composite? pls answer the question I'm doing something I have to do so pls I need an answer
Answer:
6 = 2 * 3 so it is composite
22 = 2 * 11 so it is composite
29 is a prime number
Step-by-step explanation:
Answer:29
Step-by-step explanation:
6 = 2 and 3
22 = 2 and 11
29 = 1 and 29
therefore 29 is the composite number
A 2015 poll shows the president's approval rating to be 42%, a drastic 31% fall from his approval rating in 2014. What was his approval rating in 2014?
Answer:
The president's approval rating in 2014 is 60.9%
Step-by-step explanation:
The parameters given are;
President's approval rating in 2015 = 42%
President's approval rating in 2015 = 31% less than 2014 president's approval rating
Therefore, whereby the president's approval rating in 2014 = x, we have;
42% = x - 31% of x = x - 0.31·x = 0.69·x
Hence, x% = 42% ÷ 0.69 = 60.8696 ≈ 60.9%
The president's approval rating in 2014 = 60.9%.
his approval rating in 2014 is 60.9%
The calculation is as follows:Here we assume the president's approval rating in 2014 = x
So,
42% = x - 31% of x
= x - 0.31·x
= 0.69·x
Now
Hence, x% [tex]= 42\% \div 0.69[/tex] = 60.8696 ≈ 60.9%
Learn more: https://brainly.com/question/1368131?referrer=searchResults
Kirby is packing granola bars for a field trip. He already packed 2 bags
with 5 granola bars in each bag. He has 10 more granola bars to pack.
How many granola bars will Kirby pack in all?
granola
bars
Answer:
i need help
Step-by-step explanation:
find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the line y = 1.
F(-2,-3), G(-3,2), H(1,-1)
Answer:
a. F'(0, 5), G'(1, 0), H'(-3, 3)
Step-by-step explanation:
Reflection across x = -1 gives you the transformation ...
(x, y) ⇒ (-2 -x, y)
Reflection across y = 1 gives you the transformation ...
(x, y) ⇒ (x, 2 -y)
Together, these give you the transformation ...
(x, y) ⇒ (-2 -x, 2 -y)
Applying this to point F, we have ...
F(-2, -3) ⇒ F'(-2 -(-2), 2 -(-3)) = F'(0, 5) . . . . . . matches choice A
_____
How we found the transformation
In general, if M is the midpoint between A and B, then you have ...
M = (A+B)/2
2M = A+B
B = 2M - A
So, if we want x=-1 to be the midpoint between x' and x, then we have ...
x' = 2(-1) -x = -2 -x
Likewise, if we want y=1 to be the midpoint between y' and y, then we have ...
y' = 2(1) -y = 2 -y
So, the transformation is ...
(x, y) ⇒ (x', y') = (-2 -x, 2 -y)
Help me please i am marking brainiest, no one ever helps me with anything i am really struggling as a kid to move on to the next grade so please me me out with this problem please for i can force myself to keep going:
A student is doing a reading assignment. After 37 minutes of reading, she skims the pages ahead and estimates that she still has 55% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.
The area of trapezoid TRAP is 100. Furthermore, TR=32, AP=8, and TP=RA. If T=R what is the ;length of segment TP?
Answer:
5
Step-by-step explanation:
h=TP
20*h=100
=20h = 100
h = 100/20 =5
32+8=40/2=20*5=100!!!
(Hope it helped!)
2) Consider the sequence of steps to solve the equation: x - 3/3 = x + 3 Step 1 ⇒ x - 3 = 3(x + 3) Step 2 ⇒ x - 3 = 3x + 9 Step 3 ⇒ x = 3x + 12 Step 4 ⇒ -2x = 12 Step 5 ⇒ x = -6 Identify the property of equality which yields Step 5.
Answer:
Division property of equality
Step-by-step explanation:
-2x = 12 {Divide both sides by -2}
-2x/-2 = 12/-2
x = - 6
Division property of equality
In a circle, an arc length of 6.6 is intercepted by central angle of 2/3 radians. Determine the length of the radius.
Answer:
9.9
Step-by-step explanation:
To solve this problem, we first need to know that the whole length of the circunference is related to a central angle of 2pi radians. Then, we can solve using a rule of three to find the radius:
arc of 6.6 -> central angle of 2/3
arc of 2*pi*r -> central angle of 2pi
2*pi*r * (2/3) = 6.6 * 2*pi
r * (2/3) = 6.6
r = 6.6 / (2/3) = 9.9
So the length of the radius is 9.9
state is the triangles in each pair are similar. If so, say how you know they are similar and complete the similarity statement
Answer:
1st
Step-by-step explanation:
The two triangles are similar by AA
Firstly, we can see that angle LKM and QKR are congruent as they are vertical angles.
The second set can be identified by noticing that RM is a transversal through 2 parrallel lines LM and QR. That manes QRK, and LMK alternate interior angles, showing that the angles are congruent. Hence similarity by AA
Paul uses the equation y=8x+40 to model the situation.
What does the number 40 represent in this equation? Be sure to explain using a complete thought!
Answer:
The point 40 refers to the y-intercept of the linear model
Step-by-step explanation:
Looking at the equation, we can conclude that it is the equation of a straight line or a linear equation.
What this means is that it follows the general form of the equation of a straight line which is
y = mx + c
where m is the slope and c refers to the y-intercept
when we say the y-intercept, we mean the point at which the straight line plot crosses the y-axis at which x = 0
Extrapolating this, we mean the term 40 in the model refers to the y-intercept of the given linear equation
it is at the point 40 that the straight line crosses the or touches the y-axis.
Also at this point, the value of x = 0
Evaluate h-²g for h = 4 and g = 32.
2
1/2
8
Step-by-step explanation:
h2 - g
Putting values
(4)2 - 32
8 - 32
= - 24
what is the value of x in the triangle below
Answer:
2
Step-by-step explanation:
what is 65% of 400?
Answer:
........................ 260
Answer:
260
Step-by-step explanation:
Write 65% as
65/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
65/100 of 400 = 65/100 × 400
=260
line r is parallel to line s.
In which diagram MUST angle 1 be congruent to
angle 2?
Answer:
C
Step-by-step explanation:
In C, angle 1 and 2 are alternate exterior angles, meaning that they are equivalent. They are only corresponding angles in the other options and corresponding angles are not always congruent. So the answer must be C.
Angle 1 and Angle 2 are alternate interior angles.
Alternate interior angles are congruent.
Option C is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
Line r and Line s are parallel.
Angle 1 is congruent with Angle 2.
The diagram that follows the situation where angle 1 and angle 2 are congruent.
A
Angle 1 and Angle 2 are the same side exterior angles and they are supplementary.
B
Angle 1 and Angle 2 are not congruent.
C
Angle 1 and Angle 2 are alternate interior angles.
Alternate interior angles are congruent.
D
Angl 1 and Angle 2 are co-interior angles.
Co-interior angles are supplementary.
Thus,
Angle 1 and Angle 2 are alternate interior angles.
Alternate interior angles are congruent.
Option C is the correct answer.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ2
Hey math ppl, i need some help pls, question in photo
[tex]\text{Use the Pythagorean theorem:}\\\\a^2+b^2=c^2\\\\\text{Plug in and solve:}\\\\7^2+14^2=c^2\\\\49+196=c^2\\\\245=c^2\\\\\text{Square root both sides to cancel out the exponent}\\\\\sqrt{245}=\sqrt{c^2}\\\\\boxed{7\sqrt{5}=c}\\\\[/tex]
Please answer this math question !! 20 POINTS AND BRAINLIEST!!
Answer:
3.1 ≤d≤183.1
Step-by-step explanation:
d = 4.5t + 3.1
Since this is a line, we can find the range by putting in the minimum and maximum of the domain
domain = 0≤t≤40
Let t =0
d = 0+3.1 so the minimum of the range is 3.1
Let t = 40
d = 4.5(40)+3.1
d = 183.1 so the maximum is 183.1
The range is 3.1 ≤d≤183.1
