Answer:
65%
Step-by-step explanation:
26/40 x 100= 65%
hope this helps!
what is -10+3x>-16 inequality notation
The Inequality notation of the given equation 10+3x>-16 is x > -2
What is Inequality notation?
A mathematical statement known as an inequality expresses the relationship between two quantities while indicating that they are not completely equal. The four symbols used to represent inequality are. ≥, >,<, and ≤.
Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare the two values in inequality. Less than (or less than and equal to), greater than (and greater than or equal to), and also not equal to signs are used in place of the equal sign.
Consider the above equation.
-10 +3x > -16
Add 10 on both sides.
= -10+3x+10> -16+10
= 3x> -6
Divide by 3 to equation into both sides.
= \(\frac{3x}{3} > \frac{-6}{3}\)
= x > -2
Inequality notation is x > -2
Interval Notation: [−2,∞)
To know more about Inequality notation, used the following link.
brainly.com/question/24849688
#SPJ1
Please answer quickly I’m doing my finals for this semester and I need help!
Answer:
The second one is correct
Step-by-step explanation:
help me i need help will mark brainliest
Answer:
C
Step-by-step explanation:
i am smart
Answer: -3? i think..
Step-by-step explanation:
the current of a river is 4 miles per hour. a boat travels to a point 30 miles upstream and back in 4 hours. what is the speed of the boat in still water? the speed of the boat in still water is 0.5 incorrect.
The speed of the boat in still water is 16 miles per hour. So, the given speed of 0.5 is incorrect.
Let, v = the speed of the boat in still water.
The current of a river is 4 miles per hour.
On going upstream, the boat travels v−4 miles per hour.
On going downstream, the boat travels v+4 miles per hour.
So we can write,
( 30 miles × 1 hour ) / (v − 4 miles) = 30 / ( v − 4 ) hours
( 30 miles × 1 hour ) / ( v + 4 ) miles= 30 / ( v + 4 )hours
a boat travels to a point 30 miles upstream and back in 4 hours. So, on adding equation 1 and equation two we will get 4. Mathematically,
{30 / ( v − 4 )} + {30 / ( v + 4 )} = 4
30 ( v + 4 ) + 30 ( v - 4 ) = 4 ( v - 4 ) ( v + 4 )
60v = 4 ( \(v^{2} - 16\) )
4 \(v^{2}\) - 60 v - 64 = 0
\(v^{2}\) - 15v - 16 = 0
( v - 16 ) (v + 1 ) = 0
v = -1 , 16
speed in still water cannot be negative. So, we can neglect -1 . the speed of the boat in still water is 16 miles per hour.
To know more about speed refer to the link:
https://brainly.com/question/13943409
#SPJ4
MULTIPLE CHOICE. Circle the letter(s) of your answer(s).
1. Which of the following are true regarding proportional relationships?
SELECT ALL THAT APPLY
a. The ratio between quantities may vary.
b. On a graph, the line goes through the origin.
c. They can be expressed as an equation in the form y = m + x
d. They can be expressed as equations, tables, or graphs.
Answer:
b. On a graph, the line goes through the origin.d. They can be expressed as equations, tables, or graphs.What is the mean absolute deviation of the scores?
Scores:299, 281, 285, 269, 280, 269, 286, 287
Question options:
7. 50
7. 25
7. 00
6. 75
Explain please
The mean absolute deviation of the scores 299, 281, 285, 269, 280, 269, 286, 287 is (D) 6.75.
The mean absolute deviation (MAD) is a measure of the dispersion of a set of data. It is calculated as the average absolute difference between each data point and the mean of the set.
To find the MAD for the given scores, first find the mean of the scores:
(299 + 281 + 285 + 269 + 280 + 269 + 286 + 287) / 8 = 280.5
Then, find the absolute difference between each score and the mean, and take the average of these differences:
(|299 - 280.5| + |281 - 280.5| + |285 - 280.5| + |269 - 280.5| + |280 - 280.5| + |269 - 280.5| + |286 - 280.5| + |287 - 280.5|) / 8 = (18.5 + 0.5 + 4.5 + 11.5 + 0.5 + 11.5 + 5.5 + 6.5) / 8 = 7.5
So the mean absolute deviation of the scores is 7.5.
Therefore, the correct answer to the question is (D) 6.75.
To learn more about the mean absolute deviation, visit:
brainly.com/question/10528201
#SPJ4
Henry has a fenced yard in the shape of a rectangle with a perimeter that measures 242 feet. If the width of the yard measures 51 feet, what is the length?
_(blank)_ feet
Answer: Length = 70 feet
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
Solve:
Given information
l = l
w = 51 feet
P = 242 feet
Given expression
P = 2 (l + w)
Substitute values into the expression
242 = 2 (l + 51)
Divide 2 on both sides
242 / 2 = 2 (l + 51) / 2
121 = l + 51
Subtract 51 on both sides
121 - 51 = l + 51 - 51
\(\boxed{l=70}\)
Hope this helps!! :)
Please let me know if you have any questions
Let AA be an n×nn×n matrix. We know the column space of AA, which we denote by C(A)C(A), is the set of non-zero vectors{b1→,b2→,...,bn→}{b1→,b2→,...,bn→} such that Ax→=b→Ax→=b→. And the nullspace, which we denote by N(A)N(A), is the set of non-zero vectors {x1→,x2→,...,xn−→}{x1→,x2→,...,xn→} such that Ax→=0Ax→=0. Can anyone tell me why C(A)C(A) isn't made of the x→x→'s from Ax→=b→Ax→=b→?
The column space C(A) is formed by all possible linear combinations of the columns of A, not all vectors in C(A) can be obtained as solutions to the equation Ax = b.
The column space of a matrix A, denoted by C(A), is the set of all possible linear combinations of the columns of A. In other words, C(A) consists of all vectors b that can be expressed as b = A*x, where x is a vector.
On the other hand, the solutions to the equation Ax = b form a specific subset of the column space. These solutions represent the vectors x that satisfy the equation Ax = b for a given b. In other words, they are the vectors that map to b under the linear transformation defined by A.
However, not all vectors in the column space C(A) can be obtained as solutions to the equation Ax = b for some b. This is because the equation Ax = b may not have a solution for certain vectors b. In fact, the existence of a solution depends on the properties of the matrix A and the vector b.
Therefore, while the column space C(A) is formed by all possible linear combinations of the columns of A, not all vectors in C(A) can be obtained as solutions to the equation Ax = b. The solutions to Ax = b form a subset of C(A) that satisfies the specific condition of mapping to the given vector b.
Learn more about vector at https://brainly.com/question/31040860
#SPJ11
Plz solve this question .
the volume of cylindrical object 539cm
and the circumference of the base of
the cylinder is 22 cm.find its height.
Answer:
The cylinder's height is 14 cm
Step-by-step explanation:
Recall that the formula for the volume of a cylinder is given by:
\(Volume=\pi\,R^2\,\,H\)
where R is the radius of the cylinder's base, and H the cylinder's height (which we we don't know and need to find)
In order to use this formula to solve for our unknown we need to obtain the radius "R" by using the second piece of information on the length of the base's circumference (22 cm). Recall the formula for the length of a circumference of radius R:
\(length=2\,\pi\,\,R\)
Then, in our case:
\(length=2\,\pi\,\,R\\22=2\,\pi\,\,R\\R=\frac{22}{2\,\pi} \\R=3.50\,\,cm\)
We now use this information in the volume equation to find the cylinder's height:
\(Volume=\pi\,R^2\,\,H\\539\,\,cm^3=\,pi\,(3.5\,\,cm)^2\,\,H\\H=\frac{539}{\pi\,12.25} \,cm\\H=14.0 \,cm\)
assume that the probability of rain tomorrow is 0.20. what is the probability that the system will function tomorrow?
The probability that the system will function tomorrow is 0.2495 or 24.95%.
To find the probability that the system will function tomorrow, we need to find the probability that at least 4 out of the 6 components will function.
On a rainy day, the probability of 4 components functioning is given by:
P(rainy day and 4 components functioning) = C(6, 4) × (0.5)⁴ × (0.5)² = 15 × 0.0625 × 0.25 = 0.2344
On a non-rainy day, the probability of 4 components functioning is given by:
P(non-rainy day and 4 components functioning) = C(6, 4) × (0.8)⁴ × (0.2)² = 15 × 0.4096 × 0.04 = 0.2534
Now we can find the overall probability of the system functioning tomorrow by using the law of total probability:
P(system functioning tomorrow) = P(rainy day and 4 components functioning) × P(rain) + P(non-rainy day and 4 components functioning) × P(non-rain)
= 0.2344 × 0.20 + 0.2534 × 0.80
= 0.0468 + 0.2027
= 0.2495
Therefore, the probability that the system will function tomorrow is 0.2495 or 24.95%.
To know more about probability, here
https://brainly.com/question/23862234
#SPJ4
--The given question is incomplete; the complete question is
"A k out of n system is one in which there is a group of n components, and the system will function if at least k of the components function. For a certain 4 out of 6 systems, assume that on a rainy day, each component has a probability of 0.5 of functioning and that on a non-rainy day, each component has a probability of 0.8 of functioning.
Assume that the probability of rain tomorrow is 0.20. What is the probability that the system will function tomorrow?"--
Pablo has drawn Parallelogram ABCD and its diagonals, AC and BD. Using Side-Side-Side, he has proven that A BAD is congruent to A DCB.
Given this, which result is Pablo now able to prove?,
O ABOCAAOB
O ACOB
AAOD
O ZCOB is an acute angle.
O The area of A BOC is equal to the area of A AOB.
Answer:
Step-by-step explanation:
Assignment Active Identifying the Rules of Exponents to Evaluate Which rules of exponents will be used to evaluate the expression. Check all that apply. [(7")(7")T quotient of powers product of powers power of a power power of a product negative exponent zero exponent Done Intro
Answer:
its 44
Step-by-step explanation:
because IRS 444 j utf d funk nhc ddh
N
(7x5 – 2x3 + 6) – (3x” – 4x3 – 2)
+
Answer:
67
Step-by-step explanation:
67 bcz
Answer:
67
Step-by-step explanation:
A movie theater sends out a coupon for 90% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket.
A golf ball is hit from the ground with an initial speed of 192 feet per second. assume the starting height of the ball is 0 feet. how long will it take the golf ball to hit the ground?
It will take the golf ball 12 seconds to hit the ground using the kinematic equation for vertical motion.
To determine the time it takes for the golf ball to hit the ground, we can use the kinematic equation for vertical motion:
\(h = ut + (1/2)gt^2\)
Where:
h is the height (0 feet, as the ball is on the ground)
u is the initial velocity (192 feet per second)
g is the acceleration due to gravity (-32 feet per second squared, considering downward direction)
t is the time we want to find
Plugging in the given values, we get:
\(0 = (192)t + (1/2)(-32)t^2\)
Simplifying the equation, we have:
\(-16t^2 + 192t = 0\)
Factoring out t, we get:
t(-16t + 192) = 0
Setting each factor equal to zero, we have:
t = 0 (not applicable in this case)
-16t + 192 = 0
Solving for t, we get:
-16t = -192
t = 12
To know more about second,
https://brainly.com/question/25379347
#SPJ11
The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
The time it takes for the golf ball to hit the ground can be determined using the equation of motion. We can use the formula:
h0 = 0
v0 = 192
g = 32.2
a = 16.1
b = 192
t1 = 0
t2 = -b / a
t(-16t + 192) = 0
Setting each factor equal to zero, we have:
t = 0 (not applicable in this case)
-16t + 192 = 0
Solving for t, we get:
-16t = -192
t = 12
t2 >= 0:
time_to_hit_ground = t2
time_to_hit_ground = t1
The time it takes for the golf ball to hit the ground is approximately", round(time_to_hit_ground, 2 seconds.
The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
Since time cannot be negative in this context, we discard the negative solution. Therefore, the time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
Learn more about second:
brainly.com/question/25379347
#SPJ11
Discussion Topic
In algebra, there are lots of rules and properties to remember. The good news is that
once you understand them, you can apply them in lots of different orders and
combinations.
Give an example of a mathematic problem that can be solved in multiple ways by
applying properties of algebra differently. Explain your reasoning.
One example of a mathematical problem that can be solved in multiple ways by applying properties of algebra differently is the simplification of algebraic expressions. Let's consider the expression: 2x + 3y - x + 5y.
1. Method 1: Grouping Like Terms
- Combine the terms with the same variables. In this case, we have 2x and -x, which can be combined to give x, and 3y and 5y, which can be combined to give 8y.
- The expression simplifies to x + 8y.
2. Method 2: Rearranging and Combining Terms
- Rearrange the terms in the expression: 2x - x + 3y + 5y.
- Combine the coefficients of x: 2x - x = x.
- Combine the coefficients of y: 3y + 5y = 8y.
- The expression simplifies to x + 8y, which is the same result as in Method 1.
3. Method 3: Distribution and Combining Like Terms
- Distribute the coefficients to the variables: 2x + 3y - x + 5y.
- Combine the coefficients of x: 2x - x = x.
- Combine the coefficients of y: 3y + 5y = 8y.
- The expression simplifies to x + 8y, which is again the same result as in Method 1 and Method 2.
In this example, we can see that different algebraic properties, such as grouping like terms, rearranging terms, and distributing coefficients, can be applied in different ways to simplify the expression 2x + 3y - x + 5y, leading to the same final result of x + 8y.
For more such questions on simplification, click on:
https://brainly.com/question/723406
#SPJ8
the answer is option b
Answer:
the answer to what?
Step-by-step explanation:
I'm sorry but confused on what the question is?
Determine a so that the vector
u = <-7, -5 >
is a linear combination u = av+bw of vectors
v = <-1, 1> , w = <-3, -1>
1. a = 2
2. a = -3
3. a = 3
4. a = -2
5. a = 1
The value of a determined from the linear combination of the vector is a = -2 and option 4 is correct answer.
What is vector?In mathematics, objects with both magnitude and direction are called vectors. The vector's size is determined by the magnitude. It is shown as a line with an arrow, where the length of the line indicates the vector's magnitude and the arrow points in the desired direction. In addition, it goes by the names Euclidean vector, Geometric vector, Spatial vector, or just "vector."
The vector are:
u = <-7, -5 >, v = <-1, 1> , w = <-3, -1>.
To find the value of a substitute the value of the vectors in the given equation:
u = av+bw
<-7, -5 > = a <-1, 1> + b <-3, -1>
The vector can be written as follows:
-a - 3b = -7..........(1)
a - b = - 5..........(2)
From equation 2 we can write:
b = a+ 5
Substituting the value of b in equation 1 we have:
- a - 3(a + 5) = -7
- a - 3a - 15 = -7
-4a = 8
a = -2
Hence, the value of a determined from the linear combination of the vector is a = -2 and option 4 is correct answer.
Learn more about vector here:
https://brainly.com/question/29740341
#SPJ4
On a coordinate plane, a right triangle has points A (negative 5, negative 6), B (negative 5, negative 2), C (negative 2, negative 2). Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line? a rise of 6 and a run of 8 a rise of 8 and a run of 6 a rise of 6 and a run of 5 a rise of 5 and a run of 6
A rise of 8 and a run of 6. Then the correct option is B.
What is a coordinate geometry?Coordinate geometry is the study of geometry using the points in space.
On a coordinate plane, a right triangle has points A (-5, -6), B (-5, -2), and C (-2, -2).
The distance between AB will be
AB² = (-5 + 5)² + (-2 + 4)²
AB² = 4²
AB = 4
The distance between BC will be
BC² = (-2 + 5)² + (-2 + 2)²
BC² = 3²
BC = 3
Then the rise and run will be
rise / run = 4 / 3
Then this can be written as
rise / run = 8 / 6
Then the correct option is B.
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ1
If you flip a coin 2 times, what is the best prediction possible for the number of times it will land on tails?
The probability that it would have to land on tails is 1
How to solve for the probabilityThe coin is known to have two sides.
The two sides of a coin are the head and the tail
the probability of head is given as 50 percent
The probability of tail is also given as 50 percent
Given that the coin is going to be flipped two times, the probability that it would have to land on tail is given as
2 * 50 percent
= 2 * 0.5
= 1
Read more on probability here:https://brainly.com/question/24756209
#SPJ1
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Given: A B || CD
If the coordinates of point A are (8. 0) and the coordinates of point Bare (3. 7), the yintercept of AB is____. If the coordinates of point Dare (5, 5), the equation of line CD is y= __ x+ __?
Answer:
8,3 y=3x+4
Step-by-step explanation:
The y intercept of line AB is 56/5 and the equation of the line CD is y = -7/5 x + 12.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given A(8, 0) and B(3, 7).
Equation of line in slope intercept form is y = mx + c, where m is the slope and c is the y intercept.
Slope of AB = (7 - 0) / (3 - 8) = -7/5
Substituting in the equation,
y = -7/5 x + c
Substituting a point (8, 0) on the equation,
0 = (-7/5 × 8) + c
c = 56 / 5
Given AB parallel to CD.
Slope of parallel lines are equal.
Slope of CD is -7/5.
Equation of the line CD is y = -7/5 x + c.
Substituting (5, 5),
5 = (-7/5 × 5) + c
c = 12
Equation of CD is y = -7/5 x + 12
Hence the equation of line CD is y = -7/5 x + 12.
Learn more about Slope here :
https://brainly.com/question/14511992
#SPJ7
please help me asap.
Answer:
it would for sure be a
Step-by-step explanation:
Is 7 a solution of the equation 4x = 54? Explain.
Answer: No
Step-by-step explanation:Divide 4 from both sides to find that x actually equals 13.5
What is the slope of the given line? (Use only whole numbers or fractions to answer)
What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)
Answer:
answer is -1/2
have a nice day
Find an equation for the hyperbola with foci (0,±5) and with asymptotes y=± 3/4 x.
The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:
y^2 / 25 - x^2 / a^2 = 1
where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.
Thus, the equation for the hyperbola is:
y^2 / 25 - x^2 / (400/9) = 1
or
9y^2 - 400x^2 = 900
The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.
To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.
Know more about equation for the hyperbola here:
https://brainly.com/question/30995659
#SPJ11
Write an equation of the line that passes through the given point P and has the given slope m.
P(9,4)
m = -1/3
9514 1404 393
Answer:
y -4 = -1/3(x -9)
Step-by-step explanation:
The point-slope form of the equation for a line is useful for this.
y -k = m(x -h) . . . . . . . line through point (h, k) with slope m
You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...
y -4 = -1/3(x -9)
The circumference of a circle is 12.56 centimeters. What is the circle’s diameter?
Answer:
Step-by-step explanation:
What is the solution of the equation (4x + 3)² = 18?
Answer:
third option
Step-by-step explanation:
(4x + 3)² = 18 ( take square root of both sides )
4x + 3 = ± \(\sqrt{18}\) = ± \(\sqrt{9(2)}\) = ± (\(\sqrt{9}\) × \(\sqrt{2}\) ) = ± 3\(\sqrt{2}\) ( subtract 3 from both sides )
4x = - 3 ± 3\(\sqrt{2}\) ( divide both sides by 4 )
x = \(\frac{-3+3\sqrt{2} }{4}\) , x = \(\frac{-3-3\sqrt{2} }{4}\)
A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.
A $42 robot costs $44.52 after sales tax is figured in. What is the sales tax percentage?
Answer:Net Amount (excluding tax)$44.52
Tax (42.0%)$18.70
Gross Amount (including tax)$63.22