Answer: -9
Step-by-step explanation:
f(x)=-5x-4
f(1)=-5(1)-4
=-5-4
f(1) =-9
Answer:
87, if it were 45 degrees, it would be 90, closest to 90 is 87
Answer:
87 feet
Step-by-step explanation:
We have an angle that's 44 degrees and we know that Susan is 90 feet from the base of the tree. We need to know the height of the tree, which is the value opposite from the angle we know.
Use tangent to find height.
tan (44) = x / 90 then multiply both sides by 90
x = tan (44) * 90 evaluate tan(44) and substitute into the equation
x = 86.911
round to nearest whole foot: 87 feet
Answer:
A guarantee of 6.24 years should be offered.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If she is willing to replace only 3% of the motors that fail, how long a guarantee should be offered?
The 3rd percentile, that is, the value of X when Z has a pvalue of 0.03. So X when Z = -1.88.
A guarantee of 6.24 years should be offered.
b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.
c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.
Answer:
Answer for the question :
Consider the optimization problem where A m × n , m ≥ n , and b m .
a. Show that the objective function for this problem is a quadratic function, and write down the gradient and Hessian of this quadratic.
b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.
c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.
is explained din the attachment.
Step-by-step explanation:
B. 10x – 15
C. 10x - 8
D. 7x-8
The formula for the kinetic energy is:
Ke = 0.5mv^2
Where ke is the kinetic enrgy
M is the mass
V is the velocity
Ke = 0.5mv^2
12.5 = 0.5(1) v^2
Solve for v
V = 5 m/s
Potential energy, pe = mgh
Where m is mass
G is accelearation due to gravity 9.8 m/s2
H is the height
98 = (1)(9.8) h
H = 10 m