Answer:
y=mx+b
Step-by-step explanation:
b=1 (the point you start at - it's on the y-intercept
m=1/2
rise over run. rise/run
go up one, right 2
What is the length of the hypotenuse of the right triangle? Enter your answer in the box.
image
Answer:
10 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be hypotenuse, then
h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
h = \(\sqrt{100}\) = 10
The hypotenuse is 10 ft
Answer:
the answer is 10 but you can ask your friends too
Step-by-step explanation:
h=p2+b2
root under 8 square +6 sqaure
root under 64±36
root Under 100
equals 10
i uses to learn like this but I'm not sure
Slope:
y-intercept:
Equation:
Answer:
slope: (1 ,-3)
y-intercept: -1
y = -3/1 -1
Step-by-step explanation:
hope it helps!
Classify the trios of sides as acute, obtuse, or right triangles.
The triangles with the given side lengths are classified as follows:
Acute: 27, 36, 46, \(6, \sqrt{61}, \sqrt{96}\)Right: \(\sqrt{6}, 6, \sqrt{42}\), \(\sqrt{23}, 7, \sqrt{72}\), 7, 24, 25, 15, 20, 25.Obtuse:How to classify the triangles?The ordered side lengths of the triangles are given as follows:
a, b and c.
Considering these side lengths, the triangles are classified as follows:
Acute if a² + b² > c².Right if a² + b² = c².Obtuse if a² + b² < c².More can be learned about triangles at https://brainly.com/question/1058720
#SPJ1
Julie bought $8.64 worth of 57-cent stamps and 30-cent stamps. The number of 30-cent stamps was 6 less than the number of 57-cent stamps. Solve the equation 0.57 s + 0.3 ( s − 6 ) = 8.64 for s , to find the number of 57-cent stamps that Julie bought.
Answer:
The number of 57-cent stamps that Julie bought is 12
Step-by-step explanation:
Given equation
0.57 s + 0.3 ( s − 6 ) = 8.64
Open bracket
0.57s + 0.3s - 1.8 = 8.64
Collect like terms
0.87s = 8.64 + 1.8
0.87s = 10.44
Divide both sides by 0.87
s = 12
The number of 57-cent stamps that Julie bought is 12
Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table.
Based on the table, which bill has an experimental probability of being drawn from the bag next?
Experimental or Theoretical?
Answer:
Theoretical
Step-by-step explanation:
A party sized submarine sandwich is prepared for a team dinner. The sandwich is 5 1/2 feet long and is divided into 1/2 foot pieces. How many pieces of sandwich are there?
Answer:
11
Step-by-step explanation:
You have to divide 5 1/2 into groups of 1/2. 5 1/2÷1/2=11.
URGENT PLEASE HELP I NEED IT RN! THANKS
7. Critique Reasoning Julio states that he can use the SAS Triangle Congruence
Theorem to prove that two right triangles are congruent. He constructs two right
triangles to have congruent hypotenuses and one set of congruent legs. What does
Julio need to do in order to use the SAS Triangle Congruence Theorem? Explain your
reasoning
Julio needs to prove that two sides of the two triangles are congruent, in addition to the hypotenuse and one set of legs that are already congruent, to use the SAS Triangle Congruence Theorem.
Julio needs to prove that the two triangles have congruent sides in order to use the SAS Triangle Congruence Theorem. This means that he needs to show that one side of one triangle is congruent to a corresponding side of the other triangle and the same applies to the other two sides. This can be done by using methods such as measuring the sides, using algebraic equations, or using geometric constructions.
According to Julio statement, he has already constructed two right triangles to have congruent hypotenuses and one set of congruent legs, which means he has already proved that one side of one triangle is congruent to a corresponding side of the other triangle (hypotenuse) and one set of legs are congruent.
Therefore, Julio need to prove the remaining side of the triangle congruent to the corresponding side of the other triangle. Once he proves this, he can use the SAS Triangle Congruence Theorem to state that the two triangles are congruent.
Learn more about SAS Triangle Congruence Theorem at,
https://brainly.com/question/18922904
3. Evie is 5 1/2 feet tall and casts a 9 foot shadow. At the same time, a vtity pole casts a 30-foot shadow. How tall is the utlity pole?
This can be solve easily by taking ratios.
We can say:
5 1/2 feet casts 9 feet shadow, so
HOW MANY FEET (let it be x) will cast 30 feet shadow??
We can setup a ratio with this info:
\(\frac{5.5}{9}=\frac{x}{30}\)Note: We took 5 1/2 feet as 5.5 feet (decimal)
Now, we cross multiply and solve for x:
\(\begin{gathered} \frac{5.5}{9}=\frac{x}{30} \\ 9x=5.5\times30 \\ 9x=165 \\ x=\frac{165}{9} \\ x=18\frac{1}{3}ft \end{gathered}\)The utility pole is 18 1/3rd feet.
Mr. Talbot, a teacher at the Singing Springs HighSchool, confides to the principal that anotherteacher, Ms. Paglione, maybe having aninappropriate relationship with a student. When thisclaim is investigated, Mr. Talbot admits that he madethe accusation because of a personal conflict withMs. Paglione. Which of the following ethicalobligations of professional educators did Mr. Talbotmost clearly violate when he made the accusation?
The correct answer is "The duty not to file frivolous or retaliatory ethical complaints."
Given that,
Mr. Talbot made the accusation against Ms. Paglione not because he genuinely believed she was engaged in an inappropriate relationship with a student, but rather due to a personal conflict with her.
This indicates that the accusation was retaliatory in nature, rather than being based on a sincere concern for the well-being of the students or a genuine belief that ethical misconduct had occurred.
Filing a false or frivolous complaint is unethical and undermines the integrity of the profession.
Educators have an obligation to exercise professional judgment and act in the best interest of their students, rather than engaging in personal vendettas or using accusations as a means of retaliation.
We can say:
According to the given scenario, the ethical obligation of professional educators that Mr. Talbot most clearly violated is:
The duty not to file frivolous or retaliatory ethical complaints.
Hence the correct statement is: The duty not to file frivolous or retaliatory ethical complaints.
Learn more about accusation click;
https://brainly.com/question/32275175
#SPJ4
The table below shows the relationship benveen the number of buses used on a field trip and he maximum number of
riders
Field Trip Buses
Maximum
Number of
Number of
Buses
Niders
3
120
3
6
20
Which equation describes the relationship shown in the table?
r =) + 20
r = 33 + 120
= 118
Answer:
r=40b
Step-by-step explanation:
if p varies inversely as a square roots of d and p equals 6 when d equals 9 find the formula connecting p and d, d when p equals 2
Step-by-step explanation:
p=1/d
6=k/9
6×9=k
54=k
2=54/d
2×d=54
d=54/2
d=27
MARK ME BRAINLIEST!!
3. A leaking tap drips water at 0,5 ml/sec. Convert this rate to l/h.
Answer: 1.8 L/h
Step-by-step explanation:
To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.
Step 1:
First, let's convert the rate from millilitres per second to litres per second.
There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:
\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)
Step 2:
We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:
\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)
Therefore, the rate of water dripping from the tap is 1.8 L/h.
----------------------------------------------------------------------------------------------------------
The parent function f(x) = x2 is reflected across the x-axis, vertically stretched by a factor of 5, and translated 3 units down to create g. Identity g in vertex form.
Answer:
The vertex form is
Step-by-step explanation:
Given : The parent function
To reflect across the x-axis,
f(x) → - f(x)
Vertically stretched by a factor of 4,
f(x) → a f(x)
Translated 5 units upward,
f(x) → f(x)+k
The required function is
The general vertex form is
Here, a=-4, h=0 and k=5
the numerator of a certain fraction is 5 less than the denominator if the fraction is equal to 3/4 what is
The denominator of the fraction is 20.
Assume the fraction’s denominator is represented by “x”. The numerator is 5 less than the denominator, based on the information provided. This may be written as (x – 5). And we are told that the fraction is equal to 3/4. As a result, we may write the equation as
⇒(x – 5) / x = 3/4
To remove the fraction, cross-multiply the equation. Multiply the denominator of the left fraction by the numerator of the right fraction and vice versa:
⇒4(x – 5) = 3x
⇒4x – 20 = 3x
⇒4x – 3x = 20
⇒x = 20
Therefore, the denominator of the fraction is 20.
Learn more about Cross-multiply at:
brainly.com/question/28308012
The correct question is-
The numerator of a certain fraction is 5 less than the denominator if the fraction is equal to 3/4 what is the denominator of this fraction?
jim paints a house in half an hour. jane paints a house in 1/5 of an hour. if jim works for 10 minutes and then jane joins him, how long will it take them to complete 1 whole house together?
Jim can paint 1/2 of a house in one hour, which means he can paint 1/12 of a house in 10 minutes. Jane can paint a whole house in 1/5 hour, which means she can paint 1/5 of a house in 1 minute.
When Jane joins Jim after 10 minutes, Jim has already painted 1/12 of a house. Together, they paint 1/12 + 1/5 of a house in one minute.
To find out how long it will take them to paint one whole house together, we can set up the equation:
1/12 + 1/5 = x/1
Where x is the amount of time it takes them to paint one whole house together.
Combining the fractions on the left side, we get:
(5 + 12)/60 = x
Simplifying, we get:
17/60 = x
Therefore, it will take Jim and Jane 17/60 of an hour, or approximately 17 minutes and 0.3 seconds, to complete one whole house together.\
To learn more about fractions : brainly.com/question/10354322
#SPJ11
35-5 I'm posting easy questions first person to answer gets brainiest
Answer:
30
Step-by-step explanation:
Because if you have 35 ducks and I remove 5 you only have 30
Answer:
30
Step-by-step explanation:
35-5=30
llllllllllllllllllllllllllllll lllll-5
count and there are 30 lines left
A physicist predicts the height of an object t seconds after an experiment begins will be given by S(t) = 16- 2 sin (t/5 + 1/3 π) meters above the ground. (a) The object's height at the start of the experiment will be -------. meters. (b) The object's greatest height will be. meters. (c) The first time the object reaches this greatest height will be. the experiment begins.
(a) The object's height at the start of the experiment will be 14 meters.
To find the height at the start of the experiment, we substitute t = 0 into the equation: S(0) = 16 - 2sin(0/5 + 1/3 π) = 16 - 2sin(1/3 π) = 16 - 2sin(π/3) = 16 - 2(√3/2) = 16 - √3 = 14 meters.
(b) The object's greatest height will be 15 meters.
To find the greatest height, we look for the maximum value of the function. Since the sin function oscillates between -1 and 1, the maximum value of -2sin(t/5 + 1/3 π) is 2. Therefore, the maximum height occurs when -2sin(t/5 + 1/3 π) = 2. Solving for t, we have: sin(t/5 + 1/3 π) = -1/2
t/5 + 1/3 π = -π/6 or 11π/6
t/5 = -π/6 - 1/3 π or 11π/6 - 1/3 π
t/5 = -3π/6 or 33π/18
t = -5π/6 or 33π/18
Since t represents time, we discard the negative value -5π/6. Thus, the greatest height occurs at t = 33π/18. Substituting this value into the equation: S(33π/18) = 16 - 2sin(33π/18/5 + 1/3 π) = 16 - 2sin(11π/18 + π/3) = 16 - 2sin(3π/6 + 6π/18) = 16 - 2sin(π/2 + π/3) = 16 - 2sin(5π/6) = 16 - 2(1/2) = 16 - 1 = 15 meters.
(c) The first time the object reaches this greatest height will be at t = 33π/18 seconds after the experiment begins.
LEARN MORE ABOUT height here: brainly.com/question/28040390
#SPJ11
Find the answer to the following subtraction problem by using the Left to Right Algorithm. Do the work on paper then upload a picture. Make sure your drawing is clear. 3131 - 1641
I can explain how to solve the subtraction problem using the Left to Right Algorithm:
To perform the Left to Right Algorithm, we start from the leftmost digit of the numbers and subtract each corresponding digit until we reach the end of the numbers. If the digit being subtracted from is smaller than the digit being subtracted, we borrow from the next digit to the left.
Using this algorithm, we can solve the problem as follows:
3 1 3 1
- 1 6 4 1
---------
2 1 6 0
Therefore, 3131 - 1641 = 2160.
To know more about algorithm refer here:
https://brainly.com/question/31936515
#SPJ11
the oppertunity cost of earning an advanced college degree is that
The opportunity cost is that the person will earn less money during the years that you are in college.
What is opportunity cost?Opportunity cost is the potential-forgone profit from a missed opportunity as the result of choosing one alternative and forgoing another.
The advantages of opportunity cost :-
Opportunity cost has to do with one forgoes when one makes a different choice. For example, if there's a choice between going to school and playing football, and the person goes to school, the opportunity cost is the fun that one will have enjoyed while playing football.The opportunity cost of earning the advanced college degree will be that the person will earn less money during the years that you are in college. When the person is in college, the person won't be able to take up certain jobs that'll provide money to him or her.Hence, the correct option is the opportunity cost is that the person will earn less money during the years that you are in college.
Learn more on about opportunity cost, click:
https://brainly.com/question/13036997
#SPJ1
An elm tree is 3 1/2 times as an apple tree. The Apple tree is 10 2/3 feet tall. How tall is the elm tree?
Answer:
37 1/3
Step-by-step explanation:
10 2/3 * 3.5=37 1/3
The height of the elm tree is \(\mathbf{37\frac{1}3}\) feet
The given parameters are:
\(\mathbf{Apple = 10\frac 23\ ft}\)
An elm tree is 3 1/2 times as an apple tree.
So, we have:
\(\mathbf{Elm = 3\frac 12 \times Apple}\)
This gives
\(\mathbf{Elm = 3\frac 12 \times 10\frac 23\ ft}\)
Express as improper fractions
\(\mathbf{Elm = \frac 72 \times \frac{32}3\ ft}\)
Expand
\(\mathbf{Elm = 7 \times \frac{16}3\ ft}\)
\(\mathbf{Elm = \frac{112}3\ ft}\)
\(\mathbf{Elm = 37\frac{1}3\ ft}\)
Hence, the height of the elm tree is \(\mathbf{37\frac{1}3}\) feet
Read more about proportions at:
https://brainly.com/question/21126582
5. A farmer has 100 m of wire fencing. What area can she enclose if
she makes a circular enclosure for her sheep?
First find the radius of the circle:
The formula for circumference = C = 2 x PI x radius
The circumference would be the length of the fence.
100 = 2 x 3.14 x radius
100=6.28 x radius
Radius = 100/6.28
Radius = 15.92
Area of a circle = PI x radius^2
Area = 3.14 x 15.92^2
Area = 795.82 square feet.
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
Which of the following sets of numbers could repersent the three sides of a triangle?
a: 15,27,42
b:15,18,33
c:8,20,25
d:12,23,35
Answer:
c: 8,20,25
Step-by-step explanation:
You want to know which set of side lengths can form a triangle from the sets ...
a: 15,27,42b: 15,18,33c: 8,20,25d: 12,23,35Triangle inequalityA set of lengths can form a triangle if and only if the sum of the shorter two exceeds the longest.
In sets a, b, d, the sum of the shorter two is equal to the longest. These lengths will form a line segment, not a triangle.
A triangle can be formed by ...
c: 8,20,25 . . . . . . 8+20=28 > 25
<95141404393>
question is in the pic
The slope of the line whose equation is x=6 is A.no slopeB. 0C. 6
Answer: A. no slope
Step-by-step explanation:
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The completed table of coordinates for the exponential function can be presented as follows;
x; -2, -1, 0, 1, 2
y ; 16/9, 4/3, 1, 3/4, 9/16
Please find attached the graph of the function created with MS Excel
The correct graph is therefore, option D
What is an exponential function?
An exponential function is one that has the argumant as an exponent
The values in the table can be found as follows;
\(f(x) = \left(\frac{3}{4} \right)^x\)
\(f(x) = \left(\frac{3}{4} \right)^{-2} = \dfrac{16}{9}\)
\(f(x) = \left(\frac{3}{4} \right)^{-1} = \dfrac{4}{3}\)
\(f(x) = \left(\frac{3}{4} \right)^{0} = 1\) The y-intercept
\(f(x) = \left(\frac{3}{4} \right)^{1} = \dfrac{3}{4}\)
\(f(x) = \left(\frac{3}{4} \right)^{2} = \dfrac{9}{16}\)
The completed table is therefore;
x; -2, -1, 0, 1, 2
y ; 16/9, 4/3, 1, 3/4, 9/16
The graph of the function , \(f(x) = \left(\frac{3}{4} \right)^x\), therefore, has a y-intercept of 1, and a maximum value of 16/9 at x = -2
The best cprect option for the graph is therefore option D
Learn more about exponential functions here:
https://brainly.com/question/11464095
#SPJ1
What is the solution of 2d=a-b/b-c when you solve for a
Answer:
2d(b-c)+b=a
Step-by-step explanation:
First you start off with the equation given
2d=(a-b)/(b-c)
Second, you want to start getting A by its self so that means you have to multiply both sides by (b-c) to get (a-b) by its self. (underlined portion cancles out)
2d(b-c)=((a-b)/(b-c)) (b-c) ----> 2d(b-c)=a-b
Finally, you want to add b to both sides to get a completely by it's self. (underlined portion cancles out)
2d(b-c)+b=a-b+b -----> 2d(b-c)+b=a
Let
u
=
[
1 −1 −2
]
,
v
=
[
3 1 −6
]
,
w
=
[
−2 2 6
]
.
(a) Give a geometric description of Span {u, v}. (What does it look like?)
(b) Determine if w is in Span{u, v}
(c) Give a description of Span{u, v, w}. Justify your answer. (Hint: Consider the matrix A whose columns are u, v, and w.)
The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.
(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.
(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:
w = a*u + b*v
Solving the system of equations formed by equating corresponding components, we have:
-2 = 3a - 2b
2 = -a + 2b
6 = -2a - 6b
Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.
(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:
A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]
We can row-reduce matrix A to its echelon form:
[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]
The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.
Learn more about plane here:
https://brainly.com/question/27927590
#SPJ11
Below are the zonal and meridional equations of motion (including curvature terms). The scaling term and magnitude for friction are provided:
dt
du
−
a
uvtanϕ
+
a
uw
=−
rho
1
∂x
∂p
+fv−2Ωcosϕw+F
x
Friction
D
2
vU
10
−12
dt
dv
+
a
u
2
tanϕ
+
a
vw
=−
rho
1
∂y
∂p
−fu+F
y
Friction
D
2
vU
10
−12
Given the above, do the following: a) Label what each term physically represents in the equations above. (11 points)
The terms in the given equations represent various physical quantities and processes related to the zonal and meridional motion of a fluid.
What does "rho1*∂y/∂p" represent?The term "rho1*∂y/∂p" represents the horizontal pressure gradient force in the meridional direction. It describes the change in pressure with respect to meridional distance and influences the fluid motion. The pressure gradient force acts perpendicular to the isobars (lines of constant pressure) and drives the fluid from regions of high pressure to low pressure.
The term "rho1" represents the density of the fluid, which determines its mass per unit volume. The density influences the magnitude of the pressure gradient force and is typically assumed to be constant in these equations.
The term "∂y/∂p" represents the derivative of meridional distance with respect to pressure. It quantifies the spatial variation of the meridional coordinate as pressure changes. A larger ∂y/∂p indicates a steeper meridional gradient and can result in stronger pressure gradient forces.
The combined term "rho1*∂y/∂p" captures the effect of the pressure gradient force in the meridional direction, driving fluid motion across lines of constant pressure.
Learn more about meridional motion
brainly.com/question/28908672
#SPJ11
Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open intervals on which the function is decreasing, if any. (c) open intervals on which the function is constant, if any.
The behaviors of the function in the intervals is given as follows:
a) Increasing: (-∞, -4) and (-3, -2).
b) Decreasing: (-4, -3) and (-2, ∞).
c) Constant: No interval.
When a function is increasing, considering it's graph?Considering the graph of the function, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when x increases, y increases.
Hence, in the context of this problem, considering the given graph the function is increasing on these following intervals:
(-∞, -4).(-3, -2).When a function is decreasing, considering it's graph?Considering the graph of the function, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.
Hence, in the context of this problem, considering the given graph the function is decreasing on these following intervals:
(-4,-3).(-2, ∞).When a function is constant?A function is constant when the graph is an horizontal line, that is, when changing the value of x causes no effect to the value of y, it remains constant.
Hence, there are no intervals in which the graph of the function is constant.
More can be learned about increasing and decreasing functions at https://brainly.com/question/1503051
#SPJ1