Answer:
y-intercept: (0, -2)
Step-by-step explanation:
Determine by how much x (the run) and y (the rise) change as you go from (-4, -6) to (3, 1): The change in x is 7 and that in y is also 7. Thus, the slope is
m = 7/7, or m = 1.
Using the point-slope form and the point (3, 1), we get:
y - 1 = 1(x - 3), or y = 1 + x - 3, or y = x - 2
Comparing this to y = mx + b, we see that the y-intercept is -2.
Is 15/16 bigger than less than or equal to 1/2
Answer:15/16 > 1/2
Step-by-step explanation:
Answer:
15/16 is greaterStep-by-step explanation:
5 ^ 3 + 1/2 ^ 2.
I need help.
Answer:
125.25
Step-by-step explanation:
5 cube =125
1/2=0.5
0.5 squared =0.25
125+0.25=125.25
A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 6 days. Its average brightness is 3.5 and the brightness changes by /-0.25. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days: B(t)=4.2 +0.45sin(2pit/4.4)
A) Find the rate of change of the brightness after t days.
B) Find the rate of increase after one day.
Answer:
a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
b) The rate of increase after one day is of 0.0915.
Step-by-step explanation:
The brightness after t days is given by:
[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]
A) Find the rate of change of the brightness after t days.
This is [tex]B^{\prime}(t)[/tex]
The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]
So, in this case, we have that:
[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
B) Find the rate of increase after one day.
This is [tex]B^{\prime}(1)[/tex]. So
[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]
The rate of increase after one day is of 0.0915.
Eliminate the parameter in the equations x =t Superscript one-half and y = t – 4. How can the rectangular equation be described? cubic linear quartic quadratic
ANSWER: A
A function assigns values. The rectangular equation can be described as cubic.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the function of x and y is given, therefore, if we eliminate t from both the function we will get,
[tex]x=t^{\frac12}\\\\x=\sqrt t\\\\x^2=t[/tex]
Now, substitute the value of t in the function of y,
[tex]y= t-4\\y=x^2-4[/tex]
Further, the rectangular equation can be written as,
[tex]\text{Rectangular Equation} = x \times y[/tex]
[tex]= x \times (x^2-4)\\\\= x^3-4x[/tex]
Thus, the rectangular equation can be described as cubic.
Learn more about Function:
https://brainly.com/question/5245372
Answer: a.) cubic
Step-by-step explanation:
whats warmer -3 or -4 degree celcius
a person walks 1/3 mile in 1/24 hour what is the persons speed in miles per hour?
Answer:
8mph
Step-by-step explanation:
Distance= 1/3 mile
time= 1/24 hour
Speed= distance/time
speed = 1/3 divided by 1/24
= 8mph
Answer:
8 im pretty sure
Step-by-step explanation:
Use the substitution method to solve the system of equations. choose the correct ordered pair.x+y=12 -x=-y+10
Answer:
x=1 y=11
Step-by-step explanation:
An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in firecontrol by the number of sprinklers that activate correctly. The researchers estimate the probability of a sprinkler to activate correctly to be 0.7. Suppose that you are an inspector hired to write a safety report for a large ballroom with 10 sprinklers. Assume the sprinklers activate correctly or not independently.
Required:
a. What is the probability that all of the sprinklers will operate correctly in a fire?
b. What is the probability that at least 7 of the sprinklers will operate correctly in a fire?
c. What is the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.98?
Answer:
0.028 ; 0.649 ; 4
Step-by-step explanation:
P(correctly activation), p = 0.7
Number of sprinklers, n = 10
q = 1 - p = 1 - 0.7 = 0.3
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability that all sprinklers activate correctly;
P(x = 10) = 10C10 * 0.7^10 * 0.3^0
P(x = 10) = 1 * 0.0282475249 * 1
P(x = 10) = 0.028
Probability that atleast 7 will operate correctly :
P(x ≥ 7) = p(x = 7) + p(x = 8) + p(x = 9) + p(x = 10)
P(x ≥ 7) = 0.267 + 0.233 + 0.121 + 0.028
P(x ≥ 7) = 0.649
3.)
Probability of atleast 1 operates :
P(x ≥ 1) = 0.98
1 - probability of 0 operates
1 - p(x =0)
P(x = 0) = nC0 * 0.7^0 * 0.3^n = 0.02
Recall :
nC0 = 1 ;
1 - p(x = 0)
P(x = 0) = 1 * 1 * 0.3^n = 0.02
0.3^n = 0.02 - - - (1)
0.3^3.24 = 0.02 - - - (2)
Comparing (1) and (2)
n = 3.24
Since, n cannot be a fraction ;
Then n is rounded to the next whole number = 4
Hurry pls
10pts
Tell whether the slope of the line
Answer: negative A.
Step-by-step explanation:
the slope of the line is going down so its negative. hope it helps!
PLEASE PLEASE HELP!!!
Answer:
398,765 books were sold
Step-by-step explanation:
How to get the answer:
1) Identify the given
32,300 is percentage
8.1 % is rate
base (b) is missing
2) Solve
b= p/r
b= 32,300 / 8.1% or 0.081
b= 398,765
3) Check
398,765 x 8.1% = 32,299.97 or 32,300
Can someone please help me? I already done the first two just confused on the last part please explain when u answer thx peeps brainliest :)
Answer:
c.
[tex] - 1 < - 0.25 < 0 < 0.5 < 1.5[/tex]
Solve the following equation.
4x - 2 = 22-8x
Answer:
x = 2
Step-by-step explanation:
4x - 2 = 22 - 8x
Move all variables to a single side by adding 8x to both sides of the equation.
4x + 8x - 2 = 22 - 8x + 8x
12x - 2 = 22
Add 2 to both sides to move the constants to one side.
12x - 2 + 2 = 22 + 2
12x = 24
Divide both sides by 12 to isolate the x.
12x / 12 = 24 / 12
x = 2
Answer:
x = 2
Step-by-step explanation:
Add 2 to both sides.
4x - 2 +2 = 22 - 8x + 2
Simplify.
4x=-8+24
Add 8x to both sides.
4x+8x= -8x + 24 + 8x
Simplify.
12x = 24
Divide both sides by 12.
12x/12 = 24/12
Simplfy.
x = 2
hope this helps! :)
Contributions to the annual Grayson School fund raising campaign were 10% greater in 1984 than they were in 1983. In 1983, contributions were 15% greater than they were in 1982. If contributions for 1984 total $8855, what was the total in 1982?
Answer:
6774.075
Step-by-step explanation:
1984: 8855
1983: 8855*10/100=885.5
8855-885.5
7969.5
1982
7969.5*15/100=1195.425
7969.5-1195.425
6774.075
5
After simplifying the expressions on each side of an equation, you observed that the coefficients of x and the constants
on each side of the equal sign were the same. What kind of solution(s) do you expect for this equation?
No solution
Infinitely many solutions
One unique solution
T
Answer:
The solution has infinitely many solutions.
Step-by-step explanation:
Correct option is - The solution has infinitely many solutions.
The expression is of the form -
ax + b = ax + b
In the expression , any value of x will satisfy
So, we get infinitely many solution
For example -
for x = 1
a(1) + b = a(1) + b
⇒ a + b = a + b
satisfied.
for x = 2
a(2) + b = a(2) + b
⇒ 2a + b = 2a + b
satisfied.
Hereon, for any value of x , it satisfies.
Write formulas for the following mathematical statement.
The difference between the selling price and cost price is profit.
(1 Point)
profit=S.P-C.P
profit=S.P+C.P
profit=C.P-S.P
profit=C.P+S.P
Answer:
[tex]Profit = SP - CP[/tex]
Step-by-step explanation:
Given
[tex]S.P = Selling\ Price[/tex]
[tex]C.P = Cost\ Price[/tex]
Required
Represent the profit, mathematically
The profit is the difference between SP and CP.
This is represented as:
[tex]Profit = SP - CP[/tex]
Which of the following are factorable? Select the two correct answers. (2 points)
O Z2 – 21 – 15
22 +51 +2
22 – 51 +3
O2? +61 + 8
Answer:
First and last
Step-by-step explanation:
Find the what will multiple to the last number and add to the second number.
Halla tres enteros consecutivos tales que 4 veces el entero del medio es 6 más que la suma del primero y el tercero
What is the area of the triangle given below?
O A 38 sq. units
B. 35 sq. units
O C. 70 sq. units
D. 19 sq. units
Answer:35
Step-by-step explanation:
BRAINLY Find the surface area of the pyramid.
Answer:
100 square centimeters
Step-by-step explanation:
Can someone help me im having a hard time
PUT THE NUMBERS IN ORDER FROM LEAST TO GREATEST.
-29/5^2
(1, 2.5)
4,21
5.5
6
9
DONT SKIP ILL GIVE 40 POINTS.!!!
Answer:
boop
Step-by-step explanation:
The square pyramid shown below has a base with sides of 101010 units. The slant height of the pyramid is 888 units.
Answer:6.12
Step-by-step explanation:
got the answer right
Answer:
on khan the answer is 6.12
There are 750 students at school. The ratio of the number of students who do not wear glasses to the number of students who wear glasses is 500:250. Which of the following statements are correct? Select ALL that apply.
Answer:
what are the options
Step-by-step explanation:
Suppose that G(x) = F(x + 9). Which statement best compares the graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) shifted 9 units up.
B. The graph of G(x) is the graph of F(x) shifted 9 units to the right.
C. The graph of G(x) is the graph of F(x) shifted 9 units down.
D. The graph of G(x) is the graph of F(x) shifted 9 units to the left.
Answer:
Option D
Step-by-step explanation:
The graph of G(x) is the graph of F(x) shifted 9 units to the left.
The positive 9 in the parenthesis let's us know that the transformation should be 9 units to the left.
Select all the equations where x = 3 is a solution.
Choose 2 answers:
3
5-2= 2
82 = 32
22 - 10 = 7
Leann wants to gift wrap a present she got for her little brother how many square inches of gift wrap will be needed to cover a box that is 4in by 6in by 2in
Answer:
48 square in.
Step-by-step explanation:
so first off you do 4x6 and you get 24 now you want t do 24x2 and get 48
the diameter of a circle is 19 meters complete the description of how you would find the circumference
Answer:
Then substitute 3.14 for pi and 19 for the diameter.
The image shows the circumference formula.
19/2=9.5
C = 2(9.5)times pi.
C = 19 times 3.14
3.14 times 19 ≈ 59.69
A person walks 1/7
mile in
1/21
hour.
The person's speed is
miles per hour. help me pls fast
Answer:
3 Miles per hour. (MPH)
Step-by-step explanation:
This would be 1/7 x 21 = 21/7 = 3
Find the equation of the exponential function represented by the table below:
Answer:
[tex]y =5(3)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation of the table
The table represents an exponential function. So, we make use of
[tex]y = ab^x[/tex]
When x = 0, y= 5.
So:
[tex]y = ab^x[/tex] becomes
[tex]5 = ab^0[/tex]
[tex]5 = a*1[/tex]
[tex]5 = a[/tex]
[tex]a = 5[/tex]
When x = 1; y = 15
So;
[tex]y = ab^x[/tex] becomes
[tex]15 = a * b^1[/tex]
[tex]15 = a * b[/tex]
Substitute 5 for a
[tex]15 = 5 * b[/tex]
Divide both sides by 5
[tex]\frac{15}{5} = \frac{5 * b}{5}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Substitute values for a and b in: [tex]y = ab^x[/tex]
[tex]y =5(3)^x[/tex]
Jennifer is saving money to buy a bike. The bike costs $258. She has $125 saved, and each week she adds $19 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her___
weeks to save for the bike.
Answer:
7 weeks
Step-by-step explanation:
Answer:
7 weeks
Step-by-step explanation: