A car is travelling at 59.4 km/h.
Convert this speed into m/s.
Answers
Answer:
16.5 m/s
Explanation:
To convert kilometer per hour to meter per second, divide by 3.6.
59.4 ÷ 3.6 = 16.5
Hope this helps! :D
Answer:
16.5m/s
Step-by-step explanation:
1km /hr = 0.278m/s
59.4km/hr= X m/s
thereforeX = 0.278*59.4
59.4 *0.278=16.51
Related Questions
In the diagram below, the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, & the first aid station, F. The campground is 0.35 mile from the lifeguard chair. The straight paths from both the campground and first aid station to the park ranger station are perpendicular.
If the path from the park ranger station to the campground is 0.65 mile, determine and state, to the nearest
hundredth of a mile,
a. Find the length of PL
Answers
Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.
How to calculate the valueIt should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:
= ✓(0.35² + 0.65²)
= 0.76 miles.
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Describe and correct the error a student made in graph in the function y= 5/x
Answers
Answer: The function y = 5/x is a reciprocal function, which means the graph of the function will be a hyperbola.
The error the student made could be in the following ways:
The student might have plotted the graph as a straight line instead of a hyperbola
The student might have neglected to reflect the graph across the y-axis, since the function is not defined for x = 0
The student might have not plotted the asymptotes of the graph. The graph will have vertical asymptotes at x = 0 and x = infinity.
To correct the error, the student should plot the graph as a hyperbola with vertical asymptotes at x = 0 and x = infinity. And also reflect the graph across the y-axis.
In case of any further doubts student should check with their teacher or a math reference book.
Step-by-step explanation:
A farmer needs to fence a rectangular piece of land. She wants the length of the field to be 80 feet longer than the width. If she has 1080 feet of fencing material, what should be the length and width of the field?
Answers
The width of the field is 230 feet and the length is 310 feet.
Let's denote the width of the field as "x" feet.
The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.
To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:
2(length) + 2(width) = perimeter
Substituting the given values:
2(x + 80) + 2(x) = 1080
2x + 160 + 2x = 1080
4x + 160 = 1080
4x = 920
x = 920/4
x = 230
Therefore, the width of the field is 230 feet.
Now we can find the length by adding 80 feet to the width:
Length = Width + 80 = 230 + 80 = 310 feet.
So, the width of the field is 230 feet and the length is 310 feet.
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Find the value of x in the parallelogram
Answers
The value of x in the parallelogram is 112°.
In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.
To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.
Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.
Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.
Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.
This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.
For the given question, we know x° + 68° = 180°.
Then x° = 180° - 68°
x° = 112°
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i giveee brainlilstttttttt
Answers
Answer:
A
Step-by-step explanation:
Answer:
thanksssssssss
Step-by-step explanation:
sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable variable x as the number of defective cameras in the sample. What is the probability distribution for x?
Answers
The probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
How can we determine the probability distribution for x?Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:
C(8,2) = 8!/(2!×(8-2)!) = 28
So there are 28 possible ways to choose a sample of 2 cameras.
Now, let's calculate the probability of each possible value of x:
When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 0 is:
P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:
C(4,1) × C(4,1) = 4×4 = 16
So the probability of x = 1 is:
P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)
= 16/28
= 0.571
When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 2 is:
P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
Therefore, the probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
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Write each fraction or mixed number as a number as a decimal 7/10
I just want the answer
Answers
Answer:
0.7 is 7/10 as a decimal
okkkk
when it comes to fractions with the denominator of 10, whatever number is the numerator you just pop a decimal in-front of it and a 0 behind it. for example 1/10=.10 2/10=.20 etc.
Suppose that you have at your disposal a software package that solves a square nonsingular system of equations Cx=d. Assume that the package either finds the unique solution of Cx=d or terminates with an error message if C is singular. Given an m×n matrix A of rank n and an m -vector b, briefly describe in words how you would use the package to find whether or not the equations Ax=b are compatible, and if they are, compute a solution x. Comment briefly on the uniqueness of a solution if one exists.
Answers
The equations Ax = b are not compatible.
What do you mean by equation?It is represented by an equal sign (=) and is used to solve for unknown values or to describe relationships between variables. Equations can be simple or complex, involving basic arithmetic operations or advanced mathematical concepts like trigonometry and calculus.
An equation can be used to solve for a single unknown value, for example, the equation 2x + 3 = 7 can be solved for x by subtracting 3 from both sides, giving us 2x = 4 and then dividing both sides by 2, giving us x = 2. In this example, x = 2 is the solution to the equation.
To determine whether the equations Ax = b are compatible and to compute a solution x, you would first form the augmented matrix [A|b]. Then, you would perform row operations on [A|b] to reduce it to an upper triangular matrix [C|d]. Finally, you would use the software package to solve the square system of equations Cx = d.
If the software terminates with an error message, it means that C is singular, and the equations Ax = b are not compatible. If the software finds the unique solution of Cx = d, it means that the equations Ax = b are compatible and that the solution x is unique. However, it is important to note that the uniqueness of the solution depends on the rank of A being equal to n. If the rank of A is less than n, the equations are not compatible, and if the rank of A is greater than n, the equations have infinitely many solutions.
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Help me and u get 70 points you gotta get it right
Answers
Answer:
x+3 = 5
x-7 = -5
Step-by-step explanation:
x+3 = 5 2+3 = 5 true solution
x+2 = 8 2+2 =4 not a solution
x+1 =1 2+1 =3 not a solution
x-2 = 4 2-2 = 0 not a solution
x-7 = -5 2-7 = -5 true solution
Answer:
A, and E
Step-by-step explanation:
just add 2, and if it doesnt make sense its not right
help help help help help help help
Answers
Answer:
Integer and Irrational Number
Step-by-step explanation:
Whole Numbers don't include fractions, Real numbers don't have sqrt in the btm and rational numbers don't inclue sqrt
Answer:rational number
Step-by-step explanation:
I did ot
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answers
Answer:
43.6 has 3 significant figures.
How many miles does he run in one year
Answers
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
hello how are you todayRewrite the sum 15y + 4x using the Commutative Property of Addition.15x + 4y4x + 15y19xy4y + 15x
Answers
The Commutative Propery of Addition states that rearranging the order of the numbers upon adding does not change the sum. For example, 2 + 1 and 1 + 2 are both equal to 3 or 2 + 5 and 5 + 2 are both equal to 7.
So, rewriting 15y + 4x using the Commutative Property of Addition is 4x + 15y. (Second Option)
distribute 5x(3x+7)
help asap
Answers
Answer:
The Answer is 50 or 50x
Answer: 15x^2+35x ✅
Step-by-step explanation:
Hii, do you need to distribute \(\boldsymbol{5x(3x+7)}\)? No problem! (:
How to Distribute?We can solve problems like this one by using what is known as the "distributive property". What it says is: If you have a term that comes before the parentheses, you multiply it times every single term in the parentheses. Let me show you what I mean...
\(\twoheadrightarrow\sf 5x(3x+7)\)
\(\bullet\) Multiply 5x tmes 3x and 7 - you will obtain
\(\twoheadrightarrow\sf 15x^2+35x\) (if we multiply x times x we obtain x²)
Voila! There's our solution, cheers! (:
--
Hope that this helped! Best wishes.
\(\it Reach\quad far.\:Aim\quad high. \,Dream\quad big.\)
\(\bigstar\underbrace\)
--
Write an addition, a multiplication, and a division statement with the
same answer
Answers
Answer:
5 x 5 = 25
20 + 5 = 25
50 ÷ 2 = 25
Step-by-step explanation:
Pls help me I don’t know
Answers
Answer: Please give me more information, I am sorry :(
Step-by-step explanation: Please give me more information, I am sorry :(
( But I think is the length of the prism is 2cm ......)
Answer:
Step-by-step explanation:
The length of the prism is 2cm
Hope this helps!
There is a ratio of 5 apples to 3 pears in a basket. There are 24 pears in the basket. How many apples are in the basker?
Answers
Answer:
There are 40 apples in the basket.
This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.
I hope this helped you, have an amazing day! :)
A man pulled a cart filled with stones that had a total mass of 60 kg.
He increased the amount of force used to pull the cart from 60 N to 90 N, what is the new
acceleration of the cart?
Answers
a1 = f/m
a1 = 60/60 = 1ms^-2
a2 = f2/m
a2 = 90/60
a2 = 1.5ms^-2
The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Formula of force,
F = ma
Given that,
A man pulled a cart filled with stones that had a total mass of 60 kg
He increased the amount of force used to pull the cart from 60 N to 90 N
New acceleration of cart = ?
F = ma
Old acceleration,
60 = 60a
a = 1 m/s²
New acceleration,
90 = 60a
a = 90/60
a = 3/2
a = 1.5 m/s²
Hence, the new acceleration is 1.5 m/s²
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please answer and explain
Answers
Answer:
Trapezoid
Step-by-step explanation:
It's a quadrilateral and it only has one pair of parallel sides.
Toby says that he can evaluate 8-5+2 by first adding 5 and 2 and then subtracting the sum, 7, from 8. Do you agree or Disagree with Toby? Explain.
Answers
I disagree with Toby's approach to evaluate 8-5+2 by first adding 5 and 2 and then subtracting the sum from 8.
What is sum?A sum is the result of adding two or more numbers or quantities together. For example, the sum of 2 and 3 is 5, and the sum of 4, 6, and 8 is 18.
According to question:I disagree with Toby's approach to evaluate 8-5+2 by first adding 5 and 2 and then subtracting the sum from 8.
The reason is that addition and subtraction have the same priority in the order of operations, and they should be performed from left to right according to the rules of arithmetic. Therefore, the correct way to evaluate the expression is to perform the subtraction between 8 and 5 first, and then add 2 to the result:
8 - 5 + 2 = 3 + 2 = 5
If we follow Toby's approach and add 5 and 2 first, we get the sum of 7, and then subtract it from 8, we get:
8 - (5 + 2) = 8 - 7 = 1
This result is incorrect, and it doesn't represent the value of the original expression 8-5+2.
Therefore, it's important to follow the rules of arithmetic and the order of operations when evaluating mathematical expressions to get the correct result.
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graph on the coordinate plane 4.5, 2
Answers
The given points are, (-5, 5) and (4.5, 2).
To ordered pairs are noted as (x, y), that is first value corresponds to the value on the x axis and the second one corresponds to the value on the y aixs. Therefore we have,
Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced algebra and physics in a particular high school. From a sample of 40 students, it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both. How many students are enrolled in either algebra or physics?
Algebra Not in Algebra Total
Physics 5 9 14
Not in Physics 24 2 26
Total 29 11 40
Answers
it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both using principle of inclusion-exclusion we can say 38 students are enrolled in either algebra or physics.
How to find the number of students enrolled in either algebra or physics?To find how many students are enrolled in either algebra or physics, you can use the principle of inclusion-exclusion, which states that the total number of elements in two sets can be found by adding the number of elements in each set and then subtracting the number of elements that are in both sets.
So, the number of students enrolled in either algebra or physics is:
29 (students enrolled in algebra) + 14 (students enrolled in physics) - 5 (students enrolled in both) = 38
So, 38 students are enrolled in either algebra or physics.
It is important to notice that in the table you provided is a two-way frequency table also known as a contingency table, it shows the relationship between two variables, in this case, Algebra and Physics and the frequencies of each combination.
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4/4 pts
***
---the system of simoultanious equation
X+2y+z=6
2x+y+2z=6
X+y+z=5
Answers
Answer:
The system of equations has no solution.
Step-by-step explanation:
Let the following system of linear equations:
\(x +2\cdot y + z = 6\) (1)
\(2\cdot x + y + 2\cdot z = 6\) (2)
\(x + y + z = 5\) (3)
Since the quantity of equations and variables are the same, there is only one solution to this system. First, we clear \(x\) in (3):
\(x = 5 - y - z\)
And make substitution both in (1) and (2):
\((5-y-z) +2\cdot y + z = 6\)
\(2\cdot (5-y-z)+y+2\cdot z = 6\)
\(y = 1\) (4)
\(y = 4\) (5)
Which lead to a contradiction, since \(4\ne 5\). Therefore, the system of linear equations has no solution.
234 divided by 6.5 show your work pleaseee <33 ty btww!!!
Answers
Answer:
36
Step-by-step explanation:
0 0 3 6. 0 0 0
6 5 2 3 4 0. 0 0 0
− 0
2 3
− 0
2 3 4
− 1 9 5
3 9 0
− 3 9 0
0 0
− 0
0 0
− 0
0 0
− 0
0
The value of expression 234 divided by 6.5 would be equal to 36
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division is to be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to find the solution of 234 divided by 6.5
A negative divided by a negative is positive, thus
234 / 6.5 = 2340/65
= 36
Therefore, The value of 234 divided by 6.5 is; 36
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(x-1)(x-3)(x+5)(x+7)=297
Answers
First simplify the expression into polynomial form,
\((x-1)(x-3)(x+5)(x+7)=297\)
\(x^4+8x^3-10x^2-104x+105=297\)
\(x^4+8x^3-10x^2-104x-192=0\)
Now factor into,
\((x-4)(x+8)(x^2+4x+6)=0\)
Which means the solutions are,
\(x-4=0\implies\boxed{x_1=4}\)
\(x+8=0\implies\boxed{x_2=-8}\)
and then two complex solutions because determinant of the third factor \(D\lt0\),
\(x^2+4x+6=0\)
\(x^2+4x+4=-2\)
\((x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}\)
Hope this helps :)
Answer:
x=4
Step-by-step explanation:
(4-1)(4-3)(4+5)(4+7)=297
what is the surface area of a cylinder height is 4 cm and diameter is 5 cm
Answers
Answer:
20cm it's is the answers
Step-by-step explanation:
5*4=20
Rowanda jogged 2.17 kilometers farther than Terrance. Select the values that could represent how far each student jogged. Select all that apply.
A Rowanda: 6.8 km, Terrance: 4.63 km
B Rowanda: 4.5 km, Terrance: 2.43 km
C Rowanda: 7.23 km, Terrance: 5.06 km
D Rowanda: 3.52 km, Terrance: 1.45 km
Answers
Answer:
A and C
Step-by-step explanation:
6.8 - 2.17 = 4.63
7.23 - 2.17 = 5.06
I need help on a question.
the picture below should help
Answers
2(4x5) = 40
2(4x2.5) = 20
2(2.5x5) = 25
85cm^2
A random sample of 10 fields of corn has a mean yield of 37.1 bushels per acre and standard deviation of 5.91 bushels per acre. Determine the 98% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
The critical value of that used in constructing the confidence interval is (42.512 , 31.688)
We have the following information from the question:
Sample mean, x(bar) = 37.1 bushels per acre
Sample size, n = 10
Alpha, α = 0.05
Sample standard deviation, s = 5.91 bushels per acre
Degree of freedom = n - 1 = 9
We have to determine the 98% confidence interval for the true mean yield.
We use the formula:
x(bar) ± \(t_c_r_i_t_i_c_a_l\)\(\frac{s}{\sqrt{n} }\)
Plug all the values in above formula:
37.1 ± 2.896\((\frac{5.91}{\sqrt{10} } )\)
37.1 ± 5.412 = (42.512 , 31.688)
Hence, The critical value of that used in constructing the confidence interval is (42.512 , 31.688).
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Question 1 -
The temperatur at breakfast was -6° F. That evening at dinner the temperature was 23 F. What was the change in temperature between breakfast and dinner?