Answers
Explanation:
g(-2) so fill -2 in for x
-2(-2)^3-5
-2^3 is (-2)(-2)(-2) which is -8
-2(-8)-5
(-8)(-2)=16
16-5=11
Related Questions
If A is the angle between the vectors u =(5, 0,82 ) and v = (0,0,1). What is the value of cosine of A? (Round off the answer upto 2 decimal places) Question 2 If A and B are matrix: A-la a2] = rai аз as bı [b1 b2 B= [bz b4] If a1 = 4, a2=7, a3 = 8, 24 = 4, also, b1 = 5, b2 = -1, b3 = 3, b4 = 0, then find inner product of (A, B)? (Round off the answer upto 2 decimal places) Question 1 u = (2+26 1. 1 + 88 1,0). Find norm of uie. I u 11? (Round off the answer upto 2 decimal places)
Answers
The analysis of the matrices and vectors components indicates;
a) coa(A) = 1
b) <A, B> = 37
c) ||u|| ≈ 91.79
What is a vector?A vector is an mathematical object has magnitude and direction. Vector quantities can be represented by an ordered list of numbers, representing the components of the vector.
a) The cosine of the angle between the vectors, can be obtained from the dot product formula as follows;
cos(A) = (5)·(0) + (0)·(0) + (82)·(1) = 82
The magnitudes of the vectors are; ||u|| = √(5² + 0² + 82²) = 82
||v|| = √(0² + 0² + 1²) = 1
cos(A) = (u·v)/(||u||·||v||) = 82/82 = 1
cos(A) = 1
b) The inner product of the matrices; \(A=\begin{bmatrix} 4&7 \\ 8& 4 \\\end{bmatrix}\) and \(B = \begin{bmatrix}5 &-1 \\ 3&0 \\\end{bmatrix}\) can be found from the sum of the product of the corresponding entries of the matrices as follows;
<A, B> = 4 × 5 + 7 × (-1) + 8 × 3 + 4 × 0 = 37
The inner <A, B> = 37
c) The norm of a vector is defined as the square root of the sum of the squares of the components of the vector, therefore;
||u|| = √(|2 + 26i|² + |1 + 88i|² + |0|²)
|2 + 26i| = √(2² + 26²) = √(680)
|1 + 88i| = √(1² + 88²) = √(7745)
||u|| = √((√(680))² + (√(7745))² + (0)²) = √(8425) ≈ 91.79
The norm of the vector is ||u|| ≈ 91.79
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Please help me out. I will be picking the brainiest Answer!!!
Answers
Answer: I think the answer is 63.
Step-by-step explanation:
Im sorry if im wrong.
You are riding your bike. At 8:00am you have ridden your bike 23 miles. By 9:00pm you have ridden 179 miles. Find the rate of change in miles per hour. If needed, round your answer to the nearest whole number.
Answers
Answer:
12 miles/hour
Step-by-step explanation:
8am to 9pm = 13 hours
in that time we were driving 179-23 = 156 miles.
so, our speed was 156 miles / 13 hours.
now simplify it to our standard miles/hour format :
156/13 = 12
therefore, or standardized speed was
12 miles/hour
angles of a quadrilateral are y,2y,3y+20 and 4y+30 . find each angle if the sum of the angles of a quadrilateral is 360°
Answers
Answer:
31° , 62° , 113° , 154°
Step-by-step explanation:
sum the 4 angles and equate to 360
y + 2y + 3y + 20 + 4y + 30 = 360 , that is
10y + 50 = 360 ( subtract 50 from both sides )
10y = 310 ( divide both sides by 10 )
y = 31
2y = 2(31) = 62
3y + 20 = 3(31) + 20 = 93 + 20 = 113
4y + 30 = 4(31) + 30 = 124 + 30 = 154
the 4 angles are 31° , 62° , 113° , 154°
Debra has a rectangular garden. The length is six less than twice the width. The perimeter of her garden is 90 meters. What is the width and the length of the garden?
Answers
Answer:
width = 17 meters
length = 28 meters
Step-by-step explanation:
Since we are told that the length is equal to 6 less than twice the width, and we know that the perimeter of a rectangle is calculated by adding all the sides together, then we can create the following formula to calculate both the length (l) and width (w).
l = 2w-6
l + l + w + w = 90 ... substitute l with its formula
(2w-6) + (2w-6) + w + w = 90 ... combine like terms
6w - 12 = 90 ... add 12 on both sides
6w = 102 ... divide both sides by 6
w = 17 meters
Now that we know the width we can plug it into the length formula and solve for the length
l = 2w - 6
l = 2(17) - 6
l = 34 - 6
l = 28 meters
Which angle is formed by a secant and tangent line?
A) ANG
B) GSE
B) EGS
C) NGL
Answers
The angle formed by a secant and tangent line is GSE (Given-Secant-Exterior).
A tangent is a straight line or curve that touches a given curve exactly once but does not cross it. The tangent is a fundamental concept in geometry and calculus that is used to study the behavior of functions at a specific point.
An external angle is the angle formed by a secant and tangent line at a point on a circle. The abbreviation for this angle is EGS (External Angle-Secant-Tangent).
A secant line intersects a circle at two points, whereas a tangent line intersects the circle at only one. The external angle is formed at the point of tangency by the intersection of the secant and tangent lines outside the circle.
Full question.
Which angle is formed by a secant and tangent line?
A) ANG
B) GSE
B) EGS
C) NGL
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given the first layer of a convolutional neural network with units, and which inputs in grayscale images that have pixel dimensions, what is the size of the weight matrix for this cnn? describe what the rows/columns represent
Answers
To determine the size of the weight matrix for the given convolutional neural network (CNN), we need to consider the number of units in the first layer and the dimensions of the input grayscale images.
In a CNN, the weight matrix is used to perform the convolution operation, which involves applying filters to the input images. Each unit in the first layer corresponds to a specific filter or kernel. The size of the weight matrix will depend on the number of units in the layer and the dimensions of the filters.Let's assume that the number of units in the first layer is N, and the input grayscale images have pixel dimensions MxM. In this case, the weight matrix will have dimensions N x (K x K), where K represents the kernel size. Each row of the weight matrix corresponds to the weights associated with a specific unit in the first layer.The number of columns in the weight matrix is determined by the kernel size, which is typically a square matrix.
The values in the weight matrix represent the learnable parameters of the CNN. By adjusting the weights in the matrix, the CNN can learn to extract meaningful features from the input images and make accurate predictions. Overall, the size of the weight matrix for the given CNN is N x (K x K), where N is the number of units in the first layer, and K is the kernel size. The rows of the weight matrix correspond to the units in the first layer, and the columns represent the weights associated with each pixel in the kernel used for convolution.
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Item 7
Danielle starts mowing the lawn at 10:28 a.m. It takes her 47 minutes to mow the lawn.
What time does Danielle stop playing mowing?
10:47 a.m.
11:15 a.m.
11:47 a.m.
12:15 p.m.
Answers
Answer:
Option 2
Step-by-step explanation:
10:28 plus 47 is 11:15
Which equation can be used to find the solution of (1/2)^2x=32
-2x=5
2x=5
1/2x=5
-1/2x=5
Answers
Answer:
-2x = 5Step-by-step explanation:
(1/2)^2x=322^(-2x) = 2^5-2x = 5Correct option is the first one
A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x)=-6x3+180x²+2250x + 13,000, where x (with 0 ≤x≤25) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns?
The point of diminishing returns is
(Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)
Answers
The point of diminishing returns is (20.98, 21247.3).
The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.
Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.
The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:
0 = -18x² + 360x + 2250
Dividing by -18 simplifies the equation:
0 = x² - 20x - 125
Using the quadratic formula, we find the solutions to the equation:
x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)
x₁,₂ = 10 ± 5√5
Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.
To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:
N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8
N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8
From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.
To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).
Hence, the point of diminishing returns is approximately (20.98, 21247.3).
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write an equation for the nth term of the arithmetic sequence
5,11,17,23
Answers
The equation for the nth term of the arithmetic sequence is (6n – 1)
The given arithmetic progression is 5,11,17,23
Here we have been given
a = 5
d = a2 – a1
= 11 – 5
d = 6
The formula for the nth term is given as follows:
an = a + (n-1)d (1)
where, a = first term
d = common difference
putting the required values of ‘a’ and ‘d’ in equation (1) we get
an = 5 + (n-1)6
an = 5 + 6n – 6
an = 6n – 1
which is the required equation for the nth term of the arithmetic sequence
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How do you Simplify the expression. –3x(4–5x) + (3x + 4)(2x – 7)
Answers
The simplified expression is \(21x^2 - 25x - 28\) in the given case.
An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.
"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.
To simplify the expression, first distribute the -3x and (3x + 4) terms:
\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)
Next, combine like terms:
\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)
Therefore, the simplified expression is \(21x^2 - 25x - 28.\)
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At an online fruit dealer, it costs $39 for 75 cases of bananas. What is the unit price?
Answers
Answer:
$0.52 cents per banana. $39 divided by the 75 bananas
Step-by-step explanation:
Answer:
$0.52
Step-by-step explanation:
When finding the unit price, we use divide the certain number of units of an item by the number of units
So for this question we will divide 39/75 to get a result of $0.52
What is the measure of angle A?
Answers
Answer:
∠ A = 35°
Step-by-step explanation:
The measure of the tangent- tangent angle A is half the difference of the intercepted arcs.
minor arc = 145°
major arc = 360° - 145° = 215°
Then
∠ A = \(\frac{1}{2}\) ( 215 - 145) = \(\frac{1}{2}\) × 70° = 35°
Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answers
Answer: b
Step-by-step explanation:
I think
Is 2.475858493 rational or irrational
Answers
Answer:
Irrational
Step-by-step explanation:
The television show September Road has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to September Road. Assume that an advertiser wants to verify that 20% share value by conducting its own survey, and a pilot survey begins with 11 households have TV sets in use at the time of a September Road broadcast. Find the probability that none of the households are tuned to September Road. P(none)
Answers
Answer:
\(P(none) = 0.0859\)
Step-by-step explanation:
Given
\(p =20\%\) --- proportion of household that tuned to September
\(n =11\) --- selected households
Required
\(P(none)\)
Using the complement rule, the proportion that did not tune (q) is:
\(q= 1 - p\)
\(q= 1 - 20\%\)
\(q= 1 - 0.20\)
\(q= 0.80\)
So, the probability that none of the 11 tuned in is:
\(P(none) = q^{11}\)
\(P(none) = 0.80^{11}\)
\(P(none) = 0.0859\)
Is it possible to do the construction with a compass that is stuck open to a fixed distance? Why or why not?
Answers
Answer:
NoStep-by-step explanation:
Refer to attached
No. Because the step D is asking to adjust the compass.
4 - 3x = 16
How do you solve this.... I somehow got -4 but I don't think that is right.
Answers
Answer:
yes you are right
Step-by-step explanation:
move 4 to other side so its -3x=12
divide 12 by -3
x=-4
Jim builds a robot that travels no more than 10 feet per minute. Graph the inequality showing the relationship between the distance traveled and the time elapsed.
Is it possible for the robot to travel 27 feet in 3 minutes?
Answers
Answer:
no robot can travel 27 feet in 3 minutes
Step-by-step explanation:
please help with this asap !!
Answers
Answer:
Retake the pic
Step-by-step explanation:
Nobody can help you with a blurry image like that , even if they could
Tetsuo has decided to purchase a new car. He decides to put 10% down and finance the remaining balance. The bank
offers Tetsuo a 36 month loan at 6.71%. If the car is valued at $32,000, what will his monthly payments be?
a. $983.93
c. $782.65
b. $885.45
d. $688.88
Please select the best answer from the choices provided
A
B
ОООО
D
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
885.45
Step-by-step explanation:
Testuo monthly payments will be around 885$
What is InterestIt is a fee paid for borrowing money or other assets.
• the amount borrowed is called the principal.
• the interest is expressed as a percentage rate of the principal
for a given time interval.
It is given that
Value of the car = $32000
Time period of loan repayment = 36 months
T = 3 years
Rate of Interest = 6.71%
10% down amount from 32000 = 3200 $
So the amount he is putting for finance = 32000 - (0.1 × 32000)
= $28800
Rate of interest can be calculated from
I = P x R x T
I = Interest, P = Principle, R = Rate, T = Time
= (6.71 * 28800 * 3)/(100*12)
= $ 483.12
This is total interest for an year
In one month, rate of interest
= 483.12/12
= $40.26
The principal amount that will be payable per month
= 28800/36
= $800
Total amount payable will be
= $ ( 800 + 40.26 )
= $840
Hence, we can conclude, Tetsuo needs to pay $840.26 as monthly installments, so in the options given it is 885$
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fill in the table using function rule y=2x+5. (1. ) (4. ) (5. ) (10. )
Answers
Answer:
you plug in the x-values into the equation to get the y-values:
y=2(1)+5
y= 2+5
y=7 or (1,7)
y=2(4)+5
y=8+5
y=13 or (4,13)
y=2(5)+5
y=10+5
y=15 or (5,15)
y=2(10)+5
y=20+5
y= 25 or (10,25)
Step-by-step explanation:
I hope this helps :)
PLEASE I NEED HELP
What is the slope-intercept form of the linear equation 2x + 3y = 6?
Answers
Answer:
y= 2/3x + 2
Step-by-step explanation:
Please help me it’s due today
Answers
Ronald ran 6 laps in 12 minutes. Which ratio can be used to find the number of laps that Ronald ran in 1 minute?
Answers
Answer:
6/12
Step-by-step explanation:
Got it right on test
Answer: 6 / 12
Step-by-step explanation: I took the test 2 hours ago xD
write an equation of the line that passes through the points (0,3) and (2,11) y=?
Answers
Answer:
y=4x+3
Step-by-step explanation:
find the slope using y2-y1/x2-x1
11-3/2-0
simplify
8/2
simplify
4
find b by using the equation y=mx+b
since we know 4 is the slope, plug it in for m
plug an ordered pair into y=4x+b
3=4(0)+b
3=b
plug b in y=4x+b
y=4x+3
Find the requested values.
R = 83°
T = 6h-8
S = 39°
Find value of h
m
Answers
Answer:
h = 11
Step-by-step explanation:
Sum of the angles in a Triangle = 180°, So;
\(83 + 39 + (6h - 8) = 180 \\ 122 - 8 + 6h = 180 \\ 114 + 6h = 180 \\ 6h = 180 - 114 \\ 6h = 66 \\ h = 66 \div 6 \\ h = 11\)
If AC is 11 inches and BC is 4 inches, then AB
Answers
Answer:
11 - 4
Step-by-step explanation:
as u explain it to me now i know how to solve the question. because its a number line, its easy to imagine.
hope this helps <3
a container is shaped like a triangular prism. each base of the container is an equilateral triangle with the dimensions shown. image the container has a height of 15 centimeters. what is the lateral surface area of the container in square centimeters?
Answers
The lateral surface area of the triangular prism container is 270 cm².
We will begin with the calculation of perimeter of equilateral triangle.
Perimeter = 3 × sides
Perimeter = 3 × 6
Perimeter = 18 cm
Now calculating the lateral surface = perimeter of base × height
Keep the values in formula
Lateral surface of equilateral triangle prism = 18 × 15
Performing multiplication again
Lateral surface area = 270 cm²
Thus, the lateral surface area of the container is 270 cm².
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The picture is added of equilateral triangle with dimensions.
