Answers
Answer:
-1
Step-by-step explanation:
x^2 – 8
-----------
x + 6
Let x = -2
(-2)^2 – 8
-----------
-2 + 6
Exponents first
4 – 8
-----------
-2 + 6
Then complete the numerator and denominator
-4
-----
4
Then divide
-1
Answer:
-1
Step-by-step explanation:
((-2)^2 - 8)/ -2+6
=>(4-8)/4
=>-4/4
=>-1
Related Questions
Pls help I really need help beg you you
Answers
Answer:0,5
Step-by-step explanation:
Any help? Algebra I
Answers
9514 1404 393
Answer:
2p +3d = 18.25; 4p +2d = 27.50popcorn: $5.75; drink: $2.25Step-by-step explanation:
a) Let p and d represent the prices of a bag of popcorn and a drink, respectively.
Mohamed's purchase is ...
2p +3d = 18.25
Miguel's purchase is ...
4p +2d = 27.50
__
b) We can subtract half the second equation from the first to get an equation for the cost of a drink.
(2p +3d) -1/2(4p +2d) = (18.25) -1/2(27.50)
2d = 4.50 . . . . . . simplify
d = 2.25 . . . . . . divide by 2
4p +2(2.25) = 27.50 . . . . substitute for d in the second equation
4p = 23.00 . . . . . . . . . subtract 4.50
p = 5.75 . . . . . . . . . divide by 4
The cost of a bag of popcorn is $5.75; the cost of a drink is $2.25.
If you drive at a constant speed of 60 miles/hour find the time it would take to travel each of the distances in the following chart. Here are the formulas:
d = s ⋅t
or
t = ds
a. Find the time for each distance. Show your work for at least one trial.
Distance in Miles Time in Hours
10
20
30
40
50
60
b. Graph the points and label the axis
c. What does this graph mean?
Answers
Answer:
b bc it is i got it right
Step-by-step explanation:
Find the surface area of a cylinder with radius 15 and height 4
Answers
Answer: A≈1790.71
Step-by-step explanation:
Answer:
1790.71
Step-by-step explanation:
You can just put this problem in search and it will you the answer
Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)
y=
Answers
Answer:
y = (-1/5)x + 23/5
Step-by-step explanation:
Given:
Two points;
(-2,5) and (3,4)
Find:
Equation of slope
Computation:
y = mx + b
5 = m(-2) + b
5 = -2m + b .......... Eq1
4 = m(3) + b
4 = 3m + b .......... Eq2
Eq2 - Eq1
-1 = 5m
m = -1/5
5 = -2m + b
5 = -2(-1/5) + b
5 = 2/5 + b
b = 23/5
y = mx + b
y = (-1/5)x + 23/5
The sound pressure P for a given sound is given by:
P= 10 log W/ Wo
Its units are decibels (dB). W is the size of a variable energy source (called the sound power), measured in Watts. Wo is the lowest threshold of sound that humans can typically hear. It is a constant given by:
Wo=10^-12 W/m2
a) Find the rate of change of the sound pressure P with respect to time if W=7.2 and dW/dt = 0.5 at some given time t.
b) If the variable sound power W is given by W = t2 +t +1, find the rate of change of the sound pressure P, at time t = 3s.
c) If W = cos 0.2t, find the rate of change of the sound pressure P, at time t = 15 (calculators in radians)
Answers
Answer:
a. 0.302 dB/s
b. 2.34 dB/s
c. 1.24 dB/s
Step-by-step explanation:
a) Find the rate of change of the sound pressure P with respect to time if W=7.2 and dW/dt = 0.5 at some given time t.
Since P = 10log(W/W₀), its rate of change with respect to time is
dP/dt = dP/dW × dW/dt
dP/dW = d[10logW - 10logW₀]/dt
dP/dW = d[10lnW/2.303 - 10logW₀]/dt
= 10/2.303W - 0
= 10/(2.303W)
dP/dt = dP/dW × dW/dt
dP/dt = 10/(2.303W) × dW/dt
Since dW/dt = 0.5 when W = 7.2, then
dP/dt = 10/(2.303 × 7.2) × 0.5
dP/dt = 10/16.5816 × 0.5
dP/dt = 0.603 × 0.5
dP/dt = 0.302 dB/s
b) If the variable sound power W is given by W = t² + t + 1, find the rate of change of the sound pressure P, at time t = 3s.
Since P = 10log(W/W₀), its rate of change with respect to time is
dP/dt = dP/dW × dW/dt
dP/dW = d[10logW - 10logW₀]/dt
dP/dW = d[10lnW/2.303 - 10logW₀]/dt
= 10/2.303W - 0
= 10/(2.303W)
and dW/dt = d(t² + t + 1)/dt = 2t + 1
So, dP/dt = dP/dW × dW/dt
dP/dt = 10/(2.303W) × (2t + 1)
dP/dt = 10(2t + 1)/(2.303W)
dP/dt = 10(2t + 1)/[2.303(t² + t + 1)]
we then substitute t = 3 into the equation
dP/dt = 10(2t + 1)/[2.303(t² + t + 1)]
dP/dt = 10(2(3) + 1)/[2.303((3)² + 3 + 1)]
dP/dt = 10(6 + 1)/[2.303(9 + 3 + 1)]
dP/dt = 10(7)/[2.303(13)]
dP/dt = 70/29.939
dP/dt = 2.34 dB/s
c) If W = cos 0.2t, find the rate of change of the sound pressure P, at time t = 15 (calculators in radians)
Since dP/dt = dP/dW × dW/dt and dP/dW = 10/(2.303W) and W = cos(0.2t), dW/dt = -0.2sin(0.2t)
So, dP/dt = dP/dW × dW/dt
dP/dt = 10/(2.303W) × -0.2sin(0.2t)
dP/dt = -20sin(0.2t)/(2.303W)
dP/dt = -20sin(0.2t)/(2.303cos(0.2t))
dP/dt = -20tan(0.2t)/2.303
when t = 15, we have
dP/dt = -20tan(0.2 × 15)/2.303
dP/dt = -20tan3/2.303
dP/dt = -20 × -0.1425/2.303
dP/dt = 2.8509/2.303
dP/dt = 1.238
dP/dt ≅ 1.24 dB/s
Express in simplest radical form.
V9
Answers
Answer:
3
Step-by-step explanation:
[tex]\sqrt{9}=\sqrt{3*3} = 3[/tex]
Illustrative Example 1:
The grades in Statistics of 10 students are 87, 84, 85, 85, 86, 90, 79, 82, 78, 76.
What is the mode?
Answers
Given:
The data set is:
87, 84, 85, 85, 86, 90, 79, 82, 78, 76
To find:
The mode of the given data set.
Solution:
We have,
87, 84, 85, 85, 86, 90, 79, 82, 78, 76
Arrange the data values in the ascending order.
76, 78, 79, 82, 84, 85, 85, 86, 87, 90
We know that the mode of date set is the most frequency value of the data set.
From the above data set it is clear that the number 85 has the highest frequency 2.
Therefore, the mode of the data set is 85.
C=2(y-k) solve for y
Answers
Answer:
[tex] \blue{y = \dfrac{C + 2k}{2}} [/tex]
Step-by-step explanation:
[tex] C = 2(y - k) [/tex]
[tex] C = 2y - 2k [/tex]
[tex] C + 2k = 2y [/tex]
[tex] \dfrac{C + 2k}{2} = y [/tex]
[tex] y = \dfrac{C + 2k}{2} [/tex]
HELP PLEASE QUICKKKKKK
Answers
Answer:
3
lkfbnrld/kgnvr/slkbvluydcfgiufhvgukrghoudgb
Bonjour, connaissez vous une app ou on peut manipuler des elastiques j'en ai besoin. Merci!
Answers
Answer:
Wow sup Comment allez-vous, je suis là pour vous aider à essayer cette application, je ne suis pas vraiment sûr de ce que vous entendez par " Rubber Band App " Mais je pense que cela pourrait aider à l'essayer Exercices de bande de résistance
A rectangle has vertices (−5, 6), (−1, 6), (−1, 3), and (−5, 3). It is first dilated by the rule (x, y)→(7x, 7y) and then translated 10 units down. What are the coordinates of the image?
A(−35, 32), (−7, 32), (−7, 11), (−35, 11)
B(−45, 42), (−17, 42), (−17, 21), (−45, 21)
C(−105, 42), (−77, 42), (−77, 21), (−105, 21)
D(−35,−28), (−7,−28), (−7,−49), (−35,−49)
Answers
What are the first five terms of the recursive sequence?
Answers
Answer:
the fourth option
9, 30, 93, 282, 849
Step-by-step explanation:
a1 = 9
based on the sequence definition
a2 = 3×a1 + 3 = 3×9 + 3 = 27 + 3 = 30
the only answer option with a2=30 is the fourth one. all others must be therefore wrong.
check
a3 = 3×a2 + 3 = 3×30 + 3 = 93
a4 = 3×a3 + 3 = 3×93 + 3 = 282
a5 = 3×a4 + 3 = 3×282 + 3 = 849
confirmed.
please help i need the explanation to go look back at for similar questions in the future. last word is Bold.
Answers
Answer:
50
Step-by-step explanation:
The given angles in the triangle are vertically opposite angles. Hence;
9x - 4 = 8 + 7x
Collect the like terms
9x - 7x = 8 + 4
2x = 12
x = 12/2
x = 6
Get the bolded angle
Bolded angle= 8 + 7x
Blded angle = 8 + 7(6)
Bolded angle = 8 + 42
Bolded angle = 50
Write the word or phrase that best completes each statement or answers the question. Solve the problem.
Two kinds of cargo, A and B, are to be shipped by truck. Each crate of cargo A is 50 cubic feet in volume and weighs 200 pounds, whereas each crate of cargo B is 10 cubic feet in volume and weighs 360 pounds. The shipping company charges $75 per crate for cargo A and $100 per crate for cargo B. The truck has a maximum load limit of 7200 pounds and 1000 cubic feet. How many crates of each cargo should be shipped on each truck in order to satisfy the load limits and yield the greatest charges? What is the greatest charge?
Answers
Answer:
z(max) = 2350
x₁ = 18 x₂ = 10
Step-by-step explanation:
Vol (ft³) W (p) Income ($)
Cargo A (x₁) 50 200 75
Cargo B (x₂) 10 360 100
Max load limit 1000 7200
Objective Function
z = 75*x₁ + 100*x₂
Constraints:
Volume constraint:
50*x₁ + 10*x₂ ≤ 1000
Weight constraint:
200*x₁ + 360*x₂ ≤ 7200
Model:
z = 75*x₁ + 100*x₂ to maximize
Subject to:
50*x₁ + 10*x₂ ≤ 1000
200*x₁ + 360*x₂ ≤ 7200
x₁ ≥ 0 x₂ ≥ 0 x₁ and x₂ integers
After 6 iterations with an on-line solver optimal solution is:
z(max) = 2350
x₁ = 18 x₂ = 10
help please show work
Answers
1/2 • 4.7 x 8 = 18.8
8.) 40.96 square miles
6.4^2 = 40.96
9.) 7 square meters
1/2 • 4 • 3.5 = 7
10.) 36.4 square centimeters
(2.6 + 7.8) ÷ 2 x 7
11.) 22.8 square yards
6 • 3.8 = 22.8
12.) 30.6 square centimeters
5.1 • 6 = 30.6
Explanation:
FORMULAS FOR AREAS OF:
Triangle: 1/2 • base • height
Square: side^2
Parallelogram: base • height
Rectangle: Length • width
Trapezoid: (a + b) ÷ 2 x height
(a & b are the two bases)
hope this helps!
Which expression is equivalent to (6x2 + 4)(x + 5) ?
A 6x2 + 20
B 6x2 + 16x + 20
C 603 + 30x2 + 4x + 20
D) 6x3 + 11x2 + 3x + 20
Answers
Answer: [tex]6x^3 +30x^2 +4x+20[/tex]
Step-by-step explanation:
[tex](6x^2 +4)(x+5)\\\\ =6x^3 +30x^2 +4x+20[/tex]
2³ x 6 ÷ 12 =
4 + (5² - 2³) =
Answers
Answer:
The first one is 4
The second on is 21
Answer:
12 ÷12 = 1
Step-by-step explanation:
hsjshxudbdodbdgekddvdke
Right angle Trigonometry, please help me solve and explain!
Answers
Answer:
theta = arctan 8/5 = 58 degrees
Step-by-step explanation:
The tangent function relates the angle theta to the two side lengths 5 and 8:
tan theta = 8/5 We need to find the angle, theta.
Using a calculator with the inverse tangent funtion built-in, we find that the angle theta is
theta = arctan 8/5 = 58 degrees.
Imara used these steps to find the length of the hypotenuse of the right triangle.
3 squares are positioned to form a right triangle. The small square is labeled 15, medium square is 20, and large square is not labeled.
Step 1: Find the area of the square with side lengths of 20: 400
Step 2: Find the area of the square with side lengths of 15: 225
Step 3: Find the sum of the areas of the two squares: 625
Step 4: State the length of the hypotenuse: 625
Answers
Answer:
C, "She could have found the sum of 15 and 20 and then squared the sum."
Step-by-step explanation:
I just took the test on Edge :)
The answer is C, I got it right on edge.
Have a nice day everyone <3.
Passion wants to rent a car to take a trip and has a budget of $75. There is a fixed rental fee of $25 and a daily fee of $10. Write ab inequality that would be used to solve for the maximum number of days for which passion can rent the car on her budget
Answers
Answer:
5 days
Step-by-step explanation:
75 = 10d +25
-25 -25
50 = 10d
/ /
10 10
5 = d
How long does it take to get more skips
Answers
Answer: Just create an account and you have unlimited skips.
plz answer this very important
Answers
Answer:
16
Step-by-step explanation:
From the question given above, the following data were obtained:
1 = 1
2 = 4
3 = 9
4 =?
Observing the data, we can see that the numbers on the right side are simple the squares of the numbers on the left side. This is illustrated below:
1 = 1² = 1
2 = 2² = 4
3 = 3² = 9
Thus, we shall use the same logic to obtain that of 4. This is illustrated below:
4 = 4² = 16
Thus the answer to the question is 16.
The net below has dimensions l = 14 feet, w = 7 feet, and h = 13 feet. How will the surface area of the figure change if the width decreases by 2 feet?
Answers
Use the following figure to answer the questions
<5 and <7 are what angles
Answers
Answer:
<5 and <7 are corresponding angles.
Step-by-step explanation:
<5 and <7 are corresponding angles. They are on the same side of the transversal and on the same position on each of the parallel lines
What is the expected price of a calculator in the year 2000 if it costs $13 in 2015
Answers
Answer:
$10.90
Step-by-step explanation:
I don't know why but it wants me to talk when I dont need to
I’ve been stuck on this problem I can’t seem to get 7 9/4 into the ABC form
Answers
Answer:
7 square root 9^4
Step-by-step explanation:
The measures of the angles of the triangle are 32°, 53º,
950. Based on the side lengths, what are the measures
of each angle?
m2A = 95°, mZB = 53º, mZC = 32°
MZA= 32º, mzB = 53º, mZC = 95°
MZA= 43º, mZB = 32°, m2C = 95°
OmZA= 53º, m B = 95°, m2C = 32°
Answers
Answer:
m∠A = 32°
Step-by-step explanation:
8^2 = 12^2 + 15^2 - 2*12*15*cosA
Answer:
B
Step-by-step explanation:
did it on edge
The main hall of Grand Central Station in New York City is approximately 210,000 square feet.
(a) Estimate how many people could stand with enough room to turn around in the main hall of the station if there were an emergency which required that the station be used to shelter people.
(b) Explain how you came up with your estimate.
(c) If there are 4 million people in Manhattan, NY, on a typical workday, estimate the percentage of them that could be sheltered in the station.
(d) Explain how you came up with your estimate.
Answers
Answer:
a)
52,500 persons
b)
Assuming that a single person occupies 4 square feet of space.
Use the following formula to calculate the Numbers o person occupies the Grand Central Station in New York City
Numbers of person occupies the Grand Central Station in New York City = Total Space of Grand Central Station in New York City / Space occupied by each person
Where
Total Space of Grand Central Station in New York City = 210,000 square feet
Space occupied by each person = 4 squaure feet
Placing values in the formula
Numbers of person occupies the Grand Central Station in New York City = 210,000 square feet / 4 square feet per person
Numbers of person occupies the Grand Central Station in New York City = 52,500 persons
c)
1.3125%
d)
Use the following formula to calculate the percentage of people that could be sheltered in the station
Percentage of people shelter in the station = ( Numbers of person occupies the Grand Central Station in New York City / Total population in Manhattan ) x 100
Where
Numbers of person occupies the Grand Central Station in New York City = 52,500 persons
Total population in Manhattan = 4,000,000 persons
Placing values in the formula
Percentage of people shelter in the station = ( 52,500 / 4,000,000 ) x 100 = 0.013125 = 1.3125%
The number of persons will be "105,000 persons" and the percentage of 4 million that could be sheltered in the station will be "2.625%".
Given:
Total area,
A = 210,000 square feetTotal persons,
[tex]N_t[/tex] = 4 million(a)
→ [tex]Number \ of \ persons (N) = \frac{A}{Area \ covered \ by \ one \ person}[/tex]
By substituting the values, we get
[tex]= \frac{210000}{2}[/tex]
[tex]= 105000 \ per \ share[/tex]
(b)
This approximation comes from dividing a large or overall area by something like a portion of one individual.
(c)
→ [tex]Percentage \ share = \frac{N}{N_t}\times 100[/tex]
By substituting the values, we get
[tex]= \frac{10500000}{4\times 10^6}[/tex]
[tex]= 2.625[/tex] (%)
(d)
Using the method above that, the proportion of people throughout the living room will be calculated.
Thus the above response in appropriate.
Learn more:
https://brainly.com/question/7644688
A 15-day supply of vitamins costs $1.74, what is the price in cents per day?
Answers
Answer:
it costs 12 cents per day.
Step-by-step explanation:
15 days cost $1.74
1 day then costs 1.74/15 = $0.116 ≈ $0.12
