10 m/s can be expressed as 36km/h.
Here, we are given an expression for speed, that is: 10 meter per second.
Now, as per the rules of mathematics,
1 kilometer = 1000 meters
⇒ 1 meter = 1/1000 kilometers
or 1 meter = 0.001 kilometers
and also, 1 hour = 60 mins
and 1 min = 60 seconds
⇒ 60 mins = 60 × 60 seconds
= 3600 seconds
Thus, 1 hour = 60 mins = 3600 seconds
⇒ 1 second = 1/3600 hours
Now, we need to convert meter per second into kilometer per hour,
1 meter/ 1 second = [tex]\frac{0.001}{\frac{1}{3600} }[/tex]
= (0.001 × 3600)/ 1
= 3.6
This 1 meter per second = 3.6 kilometer per hour
⇒ 10 meter per second = 3.6 × 10 = 36 kilometers per hour
Thus, 10 m/s is 36km/h.
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Question 1-6
Mrs. Herrera is buying one piece of candy for each of the students who have 100% attendance. The number of students in Mrs. Herrera's mach classes that have perfect attendance is
2 Square root of 196 -1. The candy costs $0.79 each, plus 7% tax. How much money does it cost for Mrs. Herrera to purchase candy for her.
$19.75
$19.82
$20.45
$21.13
The total money that will be cost for Mrs. Herrera to purchase candy for her is $10.9889
Given, Number of students that 100% attendance in the class is √196 -1 that is equal to
14-1 = 13.
So, number of students is 13.
Cost of one candy = $0.79+7%(tax)
Cost of one candy = $0.79 + (7% of 0.79)
Cost of one candy = $ 0.79 + 0.0553
Cost of one candy = $0.8453
So , total cost that Mrs. Herrera to purchase candy will be
Total cost = Number of student X Cost of one candy
Total cost = 13 X $0.8453
Total cost = $ 10.9889
Hence, The total cost for Mrs. Herrera to purchase candy for her is $10.9889
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PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING
Answer:
12/15
Step-by-step explanation:
2 mandy is playing a game. early in the game she had - 250 points. now
mandy has 350 points. what was the change in mandy's score?
The change of Mandy's score is 600 points.
Here,
Mandy is playing a game.
Early in the game she had - 250 points.
Now, Mandy has 350 points.
We have to find the change of Mandy's score.
What is difference of two number?
To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.
Now,
Early in the game she had - 250 points.
And, now Mandy has 350 points.
So, The change of Mandy's score = 350 - (-250) = 350 + 250 = 600
Hence, The change of Mandy's score is 600 points.
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The cross-section of a lean-to shelter is in the shape of a triangle. The base of the
triangle is 10 feet more than twice its height. If the area of the triangle is 126
square feet, determine the length of the base and the height of the triangle in feet.
foot
The length of both the triangle's base and height in feet.
length of base = 32ft
height = 14 ft.
The triangle's base and height:The base of a triangle can be any of its sides. The term "base" refers to the both the side and the length (the measurement). The comparable height is really the length of a perpendicular segment from either the base to the opposing vertex.
According to the given data:Given that perhaps the cross-section of the lean-to shelter is a triangle, its area is a triangle.
A = ¹/₂bh
b = length of base
h = height
the base of the triangle is 10 feet more than twice its height, we have that
b = 2h + 10
A = ¹/₂bh
A = ¹/₂(2h + 10)h
A = h² + 5h
Since the area of the triangle is A = 126 ft², we have that;
h² + 5h = 126
h² + 5h - 126 = 0
h² +(14h -9h) - 126 = 0
h² +14h -9h - 126 = 0
h(h + 14) -9(h + 14) = 0
(h + 14)(h - 9) = 0
Hight cant be negative:
h = 14
Length of the base is b = 2h + 10
b = 2h + 10
b = 2(14) + 10
b = 28 + 10
b = 35 ft
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Add:
4⁄6 + 2⁄4 + 3⁄5 =
Answer:
Step-by-step explanation:
[tex]\frac{4}{6} + \frac{2}{4} + \frac{3}{5} = \frac{80}{120} + \frac{60}{120} + \frac{72}{120} = \frac{212}{120}[/tex]
simplest form : [tex]\frac{53}{30}[/tex]
Solve the given initial-value problem. the de is a bernoulli equation. y1/2 dy dx y3/2 = 1, y(0) = 9
A differential equation with some initial conditions is used to solve an initial value problem.
The required particular solution is given by the relation:
[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]
What is meant by an initial-value problem?An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.
Let the given equation be [tex]$y^{1/2} dy\ dx y^{3/2} = 1[/tex], y(0) = 9
[tex]$(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1[/tex] …..(1)
Divide the given equation (1) by [tex]$\sqrt{ y} $[/tex] giving
[tex]$y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$[/tex], which is in Bernoulli's form.
Put [tex]$u=y^{(1+1 / 2)}=y^{(3 / 2)}$[/tex]
Then [tex]$(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$[/tex].
Multiply (2) by [tex]$\sqrt{ } y$[/tex] and we get
[tex]y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1[/tex]
(2/3) [tex]u^{\prime}+u=1$[/tex] or [tex]$u^{\prime}+(3 / 2) y=3 / 2$[/tex],
which is a first order linear equation with an integrating factor
exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is
[tex]u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$[/tex] or
[tex]\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}[/tex]
To obtain the particular solution satisfying y(0) = 4,
put x = 0, y = 4, then
8 = (9/4) + c
c = (23/4)
Hence, the required particular solution is given by the relation:
[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]
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find measure of MK in the image below
Answer:
ok is the corr!ctewwwdeeecceeeeecrrr\g
- The coordinate -5 has a weight of 3 and the coordinate 3 has a weight of 1. Find
the weighted average. Use the formula: WA = Sum of the Weighted Values
Sum of the Weights
Answers:
The weighted average of the given coordinates weights is; 3
What is the Weighted Average?
We are given that;
Coordinate of -5 has a weight of 3
Coordinate of 3 has a weight of 1
Now, we are given the formula to calculate the weighted average as;
WA = Sum of the Weighted Values/Sum of the Weights
Thus;
WA = ((-5 * 3) + (3 * 1))/(3 + 1)
WA = (-15 + 3)/4
WA = -12/4
WA = -3
We will take the absolute value which is; WA = 3
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Find an equation of the sphere determined by the given information. passes through the point (8, 3, -3), center (5, 6, 5)
The equation of the sphere is
[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]
The standard form of the equation of the sphere is :
[tex](x-a)^{2}+(y-b)^{2}+(z-c^{2} )=r^{2}[/tex]
Where A (a, b , c) is the center and r is the radius.
From the question we should first find the radius
r = [tex]\sqrt{(x-a)^{2}+(y-b)^{2}+(z-c)^{2}[/tex]
Point = (x , y , z) = (8 , 3 , -3)
Center = (a, b , c)= (5 , 6 ,5)
Substituting it in the formula
r = [tex]\sqrt{(8-5)^{2}+(3-6)^{2}+(-3-5)^{2} }[/tex]
By further calculation
r = [tex]\sqrt{9+9+64}[/tex]
So, we get
r =[tex]\sqrt{82}[/tex]
Substituting it in the standard form
[tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2}=\sqrt{82}^{2}[/tex]
[tex](x-5)^{2} +(y-6)^{2} +(z-5)^{2}=82[/tex]
[tex]x^{2} +y^{2}+z^{2}+25+36+25-10x-12y-10z=82[/tex]
[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+86-82=0[/tex]
[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]
Therefore, the equation of the sphere is
[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]
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A coordinate plane with a horizontal line passing through (negative 3, negative 3), (negative 3, 0) and (negative 3, 3).
Which is true of the standard form of the equation of the line graphed?
Answer:
x = - 3Step-by-step explanation:
GivenThe line passes through the points:
(-3, -3,), (-3, 0) and (-3, 3)Since all x- coordinates are same, the line is vertical and its equation is:
x = - 31. Which of the following points are on the circle centered at the origin with 2 = 89 ?
A) (25,64)
B) (5, -8)
C) (-3,-9)
D) (√89, √89)
The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).
Which of the following points are on the circle centered at the origin with r² = 89?It follows from the task content that the circle in discuss has a center at the origin, (0,0).
Hence, the since the square of the radius is; = 89.
It follows that the point which fits into the equation of the circle; x² + y² = r² is;
Choice C; (5)² + (-8)² = 25 + 64 = 89.
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The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).
Which of the following points are on the circle centered at the origin with r² = 89?It follows from the task content that the circle in discuss has a center at the origin, (0,0).
Hence, the since the square of the radius is; = 89.
It follows that the point which fits into the equation of the circle; x² + y² = r² is;
Choice C; (5)² + (-8)² = 25 + 64 = 89.
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Find the measure of the missing angles.
b=
93°
C=
C
b
O
Find the distance between A(7,-7) and B(13,0). Write your answer as a radical and as a decimal rounded to the nearest tenth.
The distance between A(7,-7) and B(13,0) is 9.2 units
Distance between two pointsThe formula for calculating the distance between two point is expressed as;
D = √(x₋₂-x₁)²+(y₂-y₁)²
Given the coordinate points A(7,-7) and B(13,0).
Substitute
AB = √(13-7)²+(0-7)²
AB = = √(6)²+(-7)²
AB = √36+ 49
AB = √85
AB = 9.2 units
Hence the distance between A(7,-7) and B(13,0) is 9.2 units
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Brian invests £2300 into his bank account.
He receives 10% per year simple interest.
How much will Brian have after 2 years?
Give your answer to the nearest penny where appropriate.
Solve.
5r+5= 3(5r - 4) – 10r
Answer: No solution
Step-by-step explanation:
5r + 5 = 3(5r - 4) - 10r Do multiplication
5r + 5 = 15r - 12 - 10r combine like terms
5r + 5 = 5r - 12 This is impossible. 5r cannot equal 5 and 12 meaning there is no value of r that makes this equation true so there's No Solution.
You could continue
5r + 17 = 5r
-5r =-5r
17=0 which is also not true
A cylinder has a height of 5 feet and a diameter of 2 feet. Which measurement is closest to the volume of the
cylinder in cubic feet?
62.8 ft³
15.7 ft3
78.5 ft3³
157.1 ft3
The measurement that is closest to the volume of the cylinder in cubic feet is: 15.7 Feet. (Option B)
Recall that volume is
V = πr²h
Given:
h = 5 feet
r = 2/2 = 1
Hence
V = 5 x 1 x 22/7
= 15.7142857143
Hence, the cylinders volume in cubic feet is given as:
[tex]$\approx$[/tex] 15.7 ft
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Answer: 15.7 ft3
Step-by-step explanation:
In the figure below, m1= (x+24)° and m2=5x°,
Find the angle measures.
12
Measure of angle 1 is 50° and that of angle 2 is 130°
The sum of all the angles on a straight line is equal to 180°.
Here, we are given two angles ∠1 and ∠2
Also, we are given that
m∠1 = (x+24)°
and m∠2 = 5x°
As we can see from the given figure, ∠1 and ∠2 lie on a straight line
⇒ m∠1 + m∠2 = 180
⇒ (x+24) + 5x = 180
x + 24 + 5x = 180
x + 5x + 24 = 180
6x + 24 = 180
6x = 180 - 24
6x = 156
x = 156/ 6
x = 26
Therefore,
m∠1 = 26 + 24
= 50
and m∠2 = 5(26)
= 130
Thus, the measure of the two angles is 50° and 130°
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Your question was incomplete. Check for the missing figure below.
I will give brainliest to the person who give me a right answer with solution
Pls answer this ASAP ty
Answer:
∠ A = 42° , ∠ G = 85°
Step-by-step explanation:
the measure of an inscribed angle is half the measure of its intercepted arc.
(3)
∠ A is an inscribed angle , so
∠ A = [tex]\frac{1}{2}[/tex] BC = [tex]\frac{1}{2}[/tex] × 84° = 42°
(4)
∠ G is an inscribed angle but we require arc DF
the sum of the arcs in a circle = 360°
FG + GD + FD = 360°
70° + 120° + FD = 360°
190° + FD = 360° ( subtract 190° from both sides )
FD = 170°
Then
∠ G = [tex]\frac{1}{2}[/tex] DF = [tex]\frac{1}{2}[/tex] × 170° = 85°
Solve the system of equations algebraically.
4x - 3y = 6
6x - 5y = 6
Answer: x=6 y=6
Step-by-step explanation:
[tex]\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\[/tex]
Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:
[tex]4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\[/tex]
Divide both parts of the equation by 2:
[tex]y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6[/tex]
Check the photo and please don’t take long I need it asap
Why is the standard deviation of the distribution of means generally smaller than the standard deviation of the population of individuals?
The standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.
The population of individuals is always smaller than the entire population, therefore the possibilities for variances will be lower with the sample than with the population. The higher the population, the greater the chances for deviation from the mean.
Therefore, the standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.
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Step-by-step answer?
hi
a ( b +c) = a*b +a*c
here a = -3
b = -4x
c = +5
so :
-3 ( -4x +5) = -3*-4x + -3* 5
= -12x + (-15)
= -12x -15
as I cannot add -12x and -15 ( they are two differents sort of figures )
so it's done
Answer:
12x - 15
Step-by-step explanation:
What you need to do for this is -3 · -4x + -3 · 5 = 12x+(-15). Which simplifies to 12x - 15.
Can you please help me with this ?
Answer:
the answer is 2^x-7 = 1/3x+-1/3
graph it to 1-3 and negative 1-3 figure it out i don't really good at explaining
900 students attend Ridgewood Junior High School. 4% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
f(x) = -x+5, solve for x when f (x) =-10
Answer:
x=15
Step-by-step explanation:
-x+5
-15+5
= 10
Does the figure below appear to have line symmetry if so how many lines of symmetry
Answer:
2
Step-by-step explanation:
You can only cut it into 2 exact equal parts <3
Answer:
It has none.
Step-by-step explanation:
If it was down the middle it wouldn’t work and if it was across it also wouldn’t work.
An engineer is estimating the weight of a steel beam. the actual weight of the beam is 286 pounds. the engineer's estimate is 300 pounds.
find the absolute error and the percent error of the engineer's estimate. if necessary, round your answers to the nearest tenth.
The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .
Absolute Error is defined as the difference between The Actual value and the estimated value .
Percent Error is defined as the difference between The Actual value and the estimated value in comparison to actual value expressed in percent .
[tex]Percent Error=\frac{|Estimated Value-Actual value|}{Actual Value} *100[/tex]
Given that the Estimated value =300 pounds
Actual Value=286 pounds
Absolute Error=300-286=14 pounds
Percent Error=[tex]\frac{|300-286|}{286} *100[/tex]
=[tex]\frac{14}{286} *100=4.89[/tex]%
Therefore , The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .
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What is the answer to this math problem and how do I do it? 2/5 +9 =15
The value of x from the given linear function is 15
Solving linear functionA linear function is a function hat has a leading degree of 1
Given the equation below;
2/5x +9 =15
Subtract 9 from both sides
2/5x + 9 - 9 = 15 - 9
2/5x = 15 - 9
2/5x = 6
Multiply both sides by 5
2/5x (5) = 6(5)
2x = 30
x = 15
Hence the value of x from the given linear function is 15
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Find the equation of the line that passes through points A and B.
A(1,7)
B(-3,-1)
The equation for the line that connects the locations is y = 2x + 5.
What is the Slope of a Line?The slope of a line, commonly known as the gradient, is defined as the value of the steepness or direction of a line in a coordinate plane. Slope can be determined using many ways given the equation of either a line or the coordinates of points on the straight line. . The slope is defined mathematically as "climb overrun" (change in y divided by change in x).
According to the given data:x₁ = 1
y₁ = 7
x₂ = -3
y₂ = -1
To obtain the equation of a line, we must first determine its slope. This is computed as:
m = [y₂ - y₁ ]/[x₂ - x₁]
Substituting the value we get:
m = [(-1) - 7 )/((-3) - 1)]
= -8/-4
= 2
The slope of the line = 2.
The line's intercept is:
The slope is the next step toward solving for a such equation of the line.
A typical linear equation is presented as:
y = mx + c
Let us substitute the slope and intercept values.
y = 2x + 5
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Could someone help me? The problems (see image attached) are about whether or not a decimal can be written as a question and why or why not.
Answer:
yes it can be bc it is repeating