Answer:
$93.75
Step-by-step explanation:
Multiply the conversion equation by 75:
€1 × 75 = $1.298 × 75
€75 = $93.75
If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t^2. Find the average speed over the given time intervals. [1, 2]
Answer:
50.42m/sStep-by-step explanation:
Average speed is the change in distance of a body with respect to time. This is expressed as:
[tex]v = \delta y/\delta t\\v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}[/tex]
Given the function of the height in metres expressed as y = 56t − 1.86t² and time interval [1,2]
t₁ = 1sec and t₂ = 2 secs
y(t₂) = 56t₂ − 1.86t₂²
y(2) = 56(2) − 1.86(2)²
y(2) = 112-7.44
y(2) = 104.56
y(t₁ ) = 56t₁ − 1.86t₁ ²
y(1) = 56(1) − 1.86(1)²
y(1) = 56-1.86
y(1) = 54.14
Substituting the derived value into the formula for finding the average speed:
[tex]v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}\\\\v = \dfrac{104.56-54.14}{2-1}\\\\v = \dfrac{50.42}{1}\\\\v = 50.42m/s[/tex]
Hence, the average speed over the given time intervals. [1, 2] is 50.42m/s
3x + y = 6
4x + 2y = 8
Answer:
x=2 y = 0
Step-by-step explanation:
good luck
On a field trip, the school bus drove five more than twice as many miles in the afternoon as in the morning. If the whole trip was 125 miles, how many miles did the bus travel in the morning and how many in the afternoon?
Answer:
morning - 40
afternoon - 85
Step-by-step explanation:
The bus traveled 40 miles in the morning and 85 miles in the afternoon.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The school bus traveled five miles more on a field trip in the afternoon than it did in the morning. If the journey was 125 kilometers long
Let x the distance traveled by bus in the morning.
As per the given condition, we can get the equation shown below:
⇒ x + 2x + 5 = 125
⇒ 3x + 5 = 125
⇒ 3x = 120
⇒ x = 40
In the afternoon, the bus traveled 2x + 5 miles.
Now substitute the value of x in the equation for the afternoon miles to include:
⇒ 2 × 40 +5 = 85
Therefore, the bus traveled 40 miles in the morning and 85 miles in the afternoon.
Learn more about the equation here:
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x + 1 > -5( 7-2x) I need help please.
Answer:
x<4
Step-by-step explanation:
[tex]x + 1 > -5( 7-2x) \\\\\mathrm{Expand\:}-5\left(7-2x\right):\quad -35+10x\\x+1>-35+10x\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\x+1-1>-35+10x-1\\\\Simplify\\x>10x-36\\\\\mathrm{Subtract\:}10x\mathrm{\:from\:both\:sides}\\x-10x>10x-36-10x\\Simplify\\-9x>-36\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-9x\right)\left(-1\right)<\left(-36\right)\left(-1\right)\\\\Simplify\\9x<36[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}9\\\frac{9x}{9}<\frac{36}{9}\\\\x<4[/tex]
(-2)(3-4-(-1)+6 pls help
Answer:
6
Step-by-step explanation:
(-2)(3-4-(-1)+6
(-2)(-1-(-1)+6
(Since a negative and a negative make a positive that becomes -1+1.)
(-2)(0)+6
0+6
6
Answer:
Hello! :) I hope I am correct!
Step-by-step explanation:
The answer would be -12
(Look below for steps!!)
-2(-1-(-1)+6)
⇒-2(0+6)
⇒(-2)(6)
(Do the calculations above to find the answer)
=-12
Hope this helps!
By; BrainlyAnime
(Also I attached a picture of other ways to solve this problem!)
A national survey of middle-school students asks which subject is most challenging. Which of these samples is a representative sample?
Answer:
The correct option is D.
Hoped I helped
Answer:D
Step-by-step explanation:
A 2.5 ft wide circular track for a camera dolly is set up for a movie scene. The two rails of the track form concentric circles. The radius of the inner circle is ft. How much farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn?
Answer:
15.71 ft
Step-by-step explanation:
Given that:
width of the circular track = 2.5ft
Suppose the radius of the inner circle is 57 ft since it is not given
Then the radius of the outer circle = (2.5 + 57) ft = 59.5 ft
The circumference of a circle = 2πr
For inner circle now, the circumference = 2 × π × 57 ft
For inner circle now, the circumference = 358.14 ft
For the outer circle, the circumference = 2 × π × 59.5 ft
For the outer circle, the circumference = 373.85 ft
The difference between the circumference of the outer wheel from the inner wheel shows how farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn
∴
= ( 373.85 - 358.14 ) ft
= 15.71 ft
For what values of a and b does a - b = b - a?
how can a+b=0?
is a+b=0 a single word followed by the question mark ? the sentence is not complete if “a+b=0” is the subject, it’s like: how can cat?
is the sentence rather: how can a+b be equal to 0 ( meaning zero) ? in that case, supposing we are talking of the usual sum of two elements of an additive group : how can the sum of a and b, written a+b, can be equal to zero, then this seems more like a question about what powers do have any two elements of a group to, by association through addition, to obtain a zero value. Like “how can my brother and me get one of these chocolates ?”
MORE
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v
Now, in your question, maybe a and b are not any two elements of said group but elements well identified before,
suppose you know a is 1 and b is -1 for instance. Then how can 1–1=0? is a very good question : it marvels at the fact that the addition does what it is supposed to do. Lots of things don’t, and lots of people take it for granted that things do what they are supposed to de, like speeds add up, etc.
let’s suppose for example, a is 1 and b is 2.
Then your question is very justified : how can 1+2 be equal to 0 ? it’s a scandal, either the computer is broken, or my mind is , and if anywhere in the world 1+2 =0, there is something wrong with the world.
-----
Hope this helps!! - Maddy
(if this helps please make brainliest, rate, and thank so I know how I did!)
╰(*°▽°*)╯
on a trip to canada you may wish to convert the local temperature from celsius to fahrenheit.
Answer:
59
Step-by-step explanation:
15 inches of snow fell in 12 hours. At this rate, how many inches of snow will fall in 3 days.
Answer:
90 in
Step-by-step explanation:
15 x 6 = 90 in
This is because
6 x 12 hrs = 3 days
Answer:
90 inches total
Step-by-step explanation:
1 day= 24 hours
12x2=24
15x2=30
30x3=90
3o inches of snow in a full day, and 3 days of snow so 90 inches total
earth completes its 584-million-mile orbit of the sun in about 365 days. how fast is earth moving through its orbit in miles per hour?
Answer:
66666.67 miles/hr
Step-by-step explanation:
Given that:
Earth complete its orbit of the Sun which is 584 million miles
Time taken to complete the orbit = 365 days
To find:
Speed of earth in miles per hour = ?
Solution:
First of all, we need to convert the distance in miles and time in hours to get our answer.
Let us have a look at the conversion units:
1 day = 24 hours
So, 365 days = 24 [tex]\times[/tex] 365 hours = 8760 hours
Distance traveled = 584 million miles
1 million miles = 1000000 miles
584 million miles = 584000000 miles
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Let us put the values of Distance and time given in miles and hours to get the speed in miles/hr.
[tex]Speed = \dfrac{584000000}{8760}\\\Rightarrow \bold{Speed = 66666.67\ miles/hr}[/tex]
So, the answer is: 66666.67 miles/hr
PLSSSS HELLLPPP WILL GIVE BRAINLIESTTT!!!!!!!!!
Answer:
-2
Step-by-step explanation:
between each point on the graph, the line goes down two and over one. 2/1 = 2. the slope is negative because it goes downwards
Answer:
slope could be -2/1. or -2
Step-by-step explanation:
if you do rise and run/ look at the change
rise: 2_____change in y:-2
run: 1______change in x:1
HOPE THIS HELPS!
which statement is true? all whole numbers are rational numbers all integer's are whole numbers are rational numbers are integer's or none of the above
Answer:
a
Step-by-step explanation:
hope this helps
The digit at ones place of a two digit number is three times the digit at tens place.When 54 is added to the number its digit are reversed.Find the number
Answer:
The number is 39
Step-by-step explanation:
Let the number at the tens place be x and the number at ones place be y.
Hence, The number is 10x + y.
From the question, the digit at ones place (y) is three times the digit at tens place (x). That is, y is three times x. This means
y = 3x ...... (1)
Also, When 54 is added to the number, its digits are reversed (That is, the resulting number would be 10y + x). This means
10x + y + 54 = 10y + x ...... (2)
Put the value of y = 3x from equation (1) into equation (2) to solve for x
Then,
10x + y + 54 = 10y + x
10x + 3x + 54 = 10(3x) + x
13x + 54 = 30x + x
13x + 54 = 31x
31x - 13x = 54
18x = 54
x = 54/18
x = 3.
Now, Put the value of x = 3 into equation (1) to solve for y
y = 3x
y = 3(3)
y = 9.
Hence, x = 3 and y = 9.
Since the number is 10x + y
Substitute the values of x and y.
Then,
10x + y = 10(3) + 9
=30 + 9
= 39
Hence, the number is 39.
1. Find the equation of the tangent line to the parabola y = x^3 at the point P(2,8).
Use x = 2.1, 2.01, 2.001, 2.0001, 2.00001; 1.9,1.99, 1.999,1.9999, 1.99999 to find slope.
Answer:
a) Equation of the tangent of the parabola
12 x - y -16=0
b)
slope of the tangent at x=2.1
[tex](\frac{dy}{dx}) = 3(2.1)^{2} = 13.23[/tex]
slope of the tangent at x=2.01
[tex](\frac{dy}{dx}) = 3(2.01)^{2} = 12.1203[/tex]
Step-by-step explanation:
Step(i):-
Given parabola y = x³ ....(i)
Differentiating equation (i) with respective to 'x'
[tex]\frac{dy}{dx} = 3x^{2}[/tex]
slope of the tangent
[tex](\frac{dy}{dx})_{(2,8)} = 3x^{2} = 3(2)^{2} =12[/tex]
Step(ii):-
Equation of the tangent of the parabola
[tex]y-y_{1} = m (x-x_{1} )[/tex]
y-8 = 12 (x -2)
12 x - 24 -y +8 =0
12 x - y -16=0
b)
slope of the tangent at x=2.1
[tex](\frac{dy}{dx}) = 3(2.1)^{2} = 13.23[/tex]
slope of the tangent at x=2.01
[tex](\frac{dy}{dx}) = 3(2.01)^{2} = 12.1203[/tex]
12 percent of 4000 is what
Answer:
480
Step-by-step explanation:
4000 * 0.12 = 480
Answer:
the answer is 480
Step-by-step explanation:
Write 12% as
12
100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have
12/100 of 4000
12/100 × 4000
A skyscraper elevator can move one-teeth of a mile in half a minute. What is this speed expressed in miles per minute?
Answer:
.2 miles per minute or .2x
Step-by-step explanation:
it move one tenth in half a minute so it moves 2 tenths in a minute.
Kim started a savings account that can be modeled with A = 500*(1.035) what is the yearly percent
increase according to the model?
A. 3.5%
B. 35%
C. 5%
D. 103.5%
Please help
Answer:
3.5% because 1.035 * 100 = 3.5
Answer:
3.5
if you take 100 times 1.035 you get 103.5
Simplify 4^2 • 4^8
Multiple Choice Answers:
4^16
4^10
16^16
16^10
I would really appreciate if someone could answer this really quickly. If you could also answer a couple of other ones too that would be absolutely amazing!!!
Answer:
[tex]4^{10}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , thus
4² × [tex]4^{8}[/tex] = [tex]4^{(2+8)}[/tex] = [tex]4^{10}[/tex]
Solve for b in the literal equation y = 11x + 11b
Answer:
b = y/11 -xStep-by-step explanation:
[tex]y = 11x + 11b\\Move \: 11x\:to\:the \:left\:and\:change\:its\:sign\\\\y -11x =11b\\\\Divide\:both\:sides\:of\:the\:equation\:by\: 11\\\frac{y}{11} -\frac{11x}{11} = \frac{11b}{11} \\y/11 -x =b\\\\b = \frac{y}{11} - x[/tex]
Answer: b = y/11 - x
Step-by-step explanation: You have to isolate your variable by dividing each side of the equation by your factors that DO NOT contain any variable.
I hope this helps you out.
A teacher and a doctor each have 45 books. If 4/5 f the teacher's books and 2/3 of the doctor's books are novels, how many more novels does the teacher have than the doctor? Explain the process that was used to find your answer.
Answer:
3/5
Step-by-step explanation:
The teacher has six novels more than the doctor.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that 4/5 of the teacher's books and 2/3 of the doctor's books are novels.
Since a teacher and a doctor each have 45 books.
As per the fractions of the book,
The number of teacher's books = 4/5(45) = 36
The number of doctor's books = 2/3(45) = 30
Therefore the required difference would be 36- 30 = 6 books
Hence, the teacher has six novels more than the doctor.
Learn more about the fraction here:
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Three equal-sized cardboard boxes are stacked on top of each other. Each box is 56.4 cm in height. What is the combined height of the 3 stacked boxes?
Answer:
169.2 cm
Step-by-step explanation:
Because the boxes are identical, the height of the combined boxes = 56.4 cm x 3 = 169.2 cm
P=vrt slove get the r alone
Show work
Answer:
r = P / vt
Step-by-step explanation:
P = vrt
P / vt = r
r = P / vt
1. One number is 11 more than 3 times another number. Their sum is 71. Find the smaller number. 2. Two angles are complementary. One angle measures 22 degrees more than the other angle. Find the measure of the larger angle. 3. Two angles are supplementary. One angle measures 40 degrees more than the other angle. Find the measure of the larger angle. 4. The sum of three consecutive even integers is -36. Determine the largest integer of the three.
Answer:
1. The two numbers are 56 and 15
2. The two angles are 56 and 34 degrees
3. The two angles are 110 and 70 degrees
4.The largest number is -10
Step-by-step explanation:
Solving (1):
Represent both numbers with x and y
[tex]x = 11 + 3y[/tex]
[tex]x + y = 71[/tex]
Solving for x and y
Substitute [tex]11 + 3y[/tex] for x in the second equation
[tex]11 + 3y + y = 71[/tex]
Collect Like Terms
[tex]3y + y =71 - 11[/tex]
[tex]4y = 60[/tex]
Divide both sides by 4
[tex]y = 15[/tex]
Recall that
[tex]x = 11 + 3y[/tex]
[tex]x = 11 + 3 * 15[/tex]
[tex]x = 56[/tex]
Hence, the two numbers are 56 and 15
Solving (2)
Represent the two angles with x and y
[tex]x = 22 + y[/tex]
Since they are complementary;
[tex]x + y = 90[/tex]
Substitute 22 + y for x in [tex]x + y = 90[/tex]
[tex]22 + y +y= 90[/tex]
[tex]22 + 2y =9 0[/tex]
Collect Like Terms
[tex]2y = 90 - 22[/tex]
[tex]2y = 68[/tex]
Divide both sides by 2
[tex]y = 34[/tex]
Recall that [tex]x = 22 + y[/tex]
[tex]x = 22 + 34[/tex]
[tex]x = 56[/tex]
Solving (3):
Represent the two angles with x and y
[tex]x = 40 + y[/tex]
Since they are supplementary;
[tex]x + y = 180[/tex]
Substitute 40 + y for x in [tex]x + y = 180[/tex]
[tex]40 + y + y = 180[/tex]
[tex]40 + 2y = 180[/tex]
Collect Like Terms
[tex]2y = 180 - 40[/tex]
[tex]2y = 140[/tex]
Divide both sides by 2
[tex]y = 70[/tex]
Recall that [tex]x = 40 + y[/tex]
[tex]x = 40 + 70[/tex]
[tex]x = 110[/tex]
Solving (4):
Let the smallest number be x
[tex]x + x + 2 + x + 4 = -36[/tex]
Collect Like Terms
[tex]x + x + x = -36 - 2 - 4[/tex]
[tex]3x =-42[/tex]
Divide through by 3
[tex]x = -14[/tex]
The largest number; x + 4 is
[tex]x + 4 = -14 + 4[/tex]
[tex]x + 4 = -10[/tex]
Hence, the largest number is -10
can you help me find slope and y intercept
Answer:
it's right in front of you actually. the y intercept is negative 1/7 and the slope is 1/7
Answer:
your slope 1/7x and your y-int is -1/7. Hope this helps!
Step-by-step explanation:
jessica's mother gave her 70 chocolates to give to her friends. She gave 3 chocolates to each of her friends at the party and had 4 chocolates left over for herself. How many friends did she have at her graduation party?
Answer:
She had 22 friends at her graduation party.
Step-by-step explanation:
70 chocolates total minus 3 chocolates times the number of friends she had at the party = 4
70-3x=4
Subtract 70 from both sides of the equation
-3x=4-70
Simplify
-3x=-66
Divide both sides of the equation by -3
-3x/-3=-66/-3
Simplify
x=22
How many (5in. by 5in. by 5in) cubes will occupy a classroom 9ft by 8ft by 7ft in dimension?
Answer:
Step-by-step explanation:
first convert feet to inches because the measure of cubes is in inches
( 12 inches=1 foot)
9 ft = 12*9=108 inches
8 ft=12*8=96 inches
7 ft= 12*7=84
the volume of the one cube= 5*5*5=125
volume of the classroom: 108*96*84=870912
divide : 870912/125=6967 cubes
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
-32 + 3y = 9
22 – 7y = -14
Choose 1 answer:
Answer:
see below
Step-by-step explanation:
If your equations are the ones shown in the second attachment, then their solution is the one shown in the first attachment.
_____
Apparently, your "interactive graph" needs two points to draw a line through. For these equations, the x- and y-intercepts are found easily enough.
-3x +3y = 9
To find the x-intercept, set y=0 and divide by the coefficient of x: 9/-3 = -3
To find the y-intercept, set x=0 and divide by the coefficient of y: 9/3 = 3.
2x -7y = -14
Same procedure: x-intercept = -14/2 = -7; y-intercept = -14/-7 = 2.
All of these intercepts are shown in the third attachment. Using them, you can use your tool to plot the lines and estimate their point of intersection.
does anybody know this ???
Answer:
(a) angle ACB is not proper way
Answer:
A.
Step-by-step explanation:
We can read the angle with the labels found in answers B, C and D.
Greta draws one side of equilateral △PQR on the coordinate plane at points P(−2, 2) and Q(6, 2). Which ordered pair is a possible coordinate of vertex R?
Answer:
1,8.9
Step-by-step explanation: