Un robot en Marte tiene los siguientes desplazamientos antes de lograr encontrar el lugar con las coordenadas indicadas para empezar a analizar . Su desplazamiento es de: 25 m al Sur, 35 m a 15° partiendo del Este hacia el Norte y por último 20 m a 37° partiendo del Oeste hacia el Norte. Encuentra el desplazamiento de su recorrido
Answer:
El desplazamiento total del robot es de aproximadamente 17.4 m 12.35° al sur del este
Step-by-step explanation:
El movimiento del robot en Marte se da como sigue;
1) El desplazamiento sur = 25 m
2) El desplazamiento 15 ° al norte del este = 35 m
3) El desplazamiento 37 ° al norte del oeste = 20 m
Por lo tanto, tenemos la moción en forma vectorial;
1) -25[tex]\hat j[/tex]
2) 35·cos(15°)[tex]\hat i[/tex] + 35·sin(15°)[tex]\hat j[/tex]
3) -20·cos(37)[tex]\hat i[/tex] + 20·sin(37°)[tex]\hat j[/tex]
Por lo tanto, tenemos el desplazamiento resultante total, R, del robot está dado por la suma de los vectores como sigue;
R = (35·cos(15°) - 20·cos(37)) [tex]\hat i[/tex] + (35·sin(15°) + 20·sin(37°) - 25)[tex]\hat j[/tex]
R = 17.8346937192 [tex]\hat i[/tex] - 3.9050329583 [tex]\hat j[/tex]
La magnitud de R = √ ((17.8346937192) ² + (-3.9050329583) ²) ≈ 17.4 m
La magnitud de R ≈ 17,4 m
La dirección de R = Arctan ((- 3.9050329583) / (17.8346937192)) ≈ -12.35 °
La dirección de R ≈ -12,35 °
La dirección es aproximadamente 12,35 ° al sur del este
El desplazamiento total del robot es de aproximadamente 17.4 m 12.35 ° al sur del este
Ms. Howard wrote a test. Part A had true/false questions, each worth points. Part B had multiple choice questions, each worth points. She made the number of points for Part A equal the number of points for Part B. It was the least number of points for which this was possible.
Full question attached
Answer and explanation:
Since x = number of true or false questions correct
And y = number of multiple choice questions correct
And each question for x =2 points
each question for y=3 points
since she then needs a total score of more than 93 to pass, we add up total correct questions and
Inequality equation = 2x +3y >93
and Slope
Which point-slope equation represents a line that passes through (3,-2) with a slope of - 4?
5
Oy-3=-=(x + 2)
Oy-2 = (x-3)
Oy+2=-(-3)
Oy+3 = (x + 2)
Answer: y+2=-4/5(x-3)
Step-by-step explanation:
The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given is a slope of a line and a point passing by it, we need to find the equation of the line,
So, the general equation of the line is :-
y = mx + c
where, m is the slope, and the c is the y-intercept.
Put the value of the slope given, in the equation,
y = -4x+c
Now, for find the value of c, just put the values of the x and y from the point in the equation,
-2 = -4(3) + c
c = -2+12
c = 10
Now, we get the value of the c,
So, the equation is y = -4x+10
Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10
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What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?
Answer: 13% increase?
Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?
Answer:
1.13
Step-by-step explanation:
A 6% decrease would be 0.94 and a 19% increase after that would be 1.13
A cargo plane weighed 400,000 pounds. A load of cargo was removed, and the plane weighed 348,963 pounds. Then, 15,358 more pounds of cargo were removed. How many total pounds of cargo were removed from the plane?
Answer:
364,321
384963+15358=364321
Write an expression for the phrase -4 times the quantity 4 plus w
Solve x-6y = 13 for y.
Answer:
y = 1/6x -13/6
Step-by-step explanation:
x-6y = 13
Subtract x from each side
x-x-6y =-x+ 13
-6y = -x+13
Divide each side by -6
-6y/-6 = -x/-6 + 13/-6
y = 1/6x -13/6
Someone please help me out !!!!!!!
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[tex](9x + 17) + (3x + 7) = 180[/tex]
[tex]12x + 24 = 180[/tex]
Subtract sides 24
[tex]12x + 24 - 24 = 180 - 24[/tex]
[tex]12x = 156[/tex]
Divide sides by 12
[tex] \frac{12}{12} x = \frac{156}{12} \\ [/tex]
[tex]x = 13[/tex]
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write the fraction 18/24 in its simplest form
Answer:
3/4
Step-by-step explanation:
Divide the numerator and the denominator by the greatest common factor of 18 and 24, 6.
[tex] \frac{18}{24} [/tex]
[tex] \frac{18 \div 6}{24 \div 6} [/tex]
[tex] \frac{3}{4} [/tex]
Find the perimeter of $\triangle CDE$ . Round your answer to the nearest hundredth. A trapezoid A B C D is plotted on a coordinate plane. A D represents the longer base and B C represents the shorter base. Vertex A lies at ordered pair negative 5 comma 4. Vertex B lies at ordered pair 0 comma 3. Vertex C lies at ordered pair 4 comma negative 1. Vertex D lies at ordered pair 4 comma negative 5. A line is drawn from vertex B and intersects line A D at point F plotted at ordered pair negative 2 comma 1. A line is drawn from vertex C and intersects the line A D at point E plotted at ordered pair 2 comma negative 3. The perimeter is about units.
Answer:
The answer is below
Step-by-step explanation:
We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:
Perimeter of tiangle CDE = |CD| + |DE| + |CE|
Given that C(4, -1), D(4, -5), E(2, -3).
The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:
[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore the lengths of the triangle are:
[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]
Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between segment AC and segment A double prime C double prime? coordinate plane with triangle ABC at A negative 3 comma 3, B 1 comma negative 3, and C negative 3 comma negative 3 segment AC over segment A double prime C double prime = 2 segment A double prime C double prime over segment AC = one half segment AC = segment A double prime C double prime over 2
Answer:
segment AC is equal to A''B'' over 2
Step-by-step explanation:
Given that,
Scale factor = 2
The coordinates of A is (-3,3)
The coordinates of B is (1,-3)
The coordinates of C is (-3,3)
We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.
So.
[tex]\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}[/tex]
It means, segment AC is equal to A''B'' over 2 is the correct answer.
NEED YOU GUYS HELP!!!
Answer:
3x and 9x
Step-by-step explanation:
They both are with the variable x
given the definition of f (x) and g(x) below find the value of g(f(-1)).
f(x)=3x²+5x-7
g(x)=2x+13
Answer:
-29
Step-by-step explanation:
first do the f function which gets you g(-21)
then do the g function
can you please help me solve this
Answer:
The answer is A because the answer to the equation is x^{2}= -6 and the 7 is negative
Step-by-step explanation:
Hope this helps :)
Maritza found a bike at the mall for $85.00. The sales
tax is 6%. After taxes, how much will she have to pay for
the bike?
Choose the correct method to factorize the following *
5hs-10hr-2ks+kr
a-Taking HCF common
b-Mid-term break
c-Algebraic Identities
d-Grouping
Answer:
Algebraic identities
Step-by-step explanation:
Here, we want to choose the correct method to factorize the given expression
That will be;
Algebraic identities
This is because, the terms which have an algebraic term in common have already been grouped and thus what we have to apply next is algebraic identities
20 POINTS AND BRAINLIEST
The height (in inches) of a candle, h(t), is modeled by the function h(t) = 8 - t, where t is the amount of time the candle has been burning. What is the meaning of the y-
intercept of the graph of the function?
A. The amount of time the candle has been burning
B. The height of the candle when it starts to burn
C. The maximum amount of time the candle can burn
D. The height of the candle after it is finished
Answer:B.the height of the candle when it starts to burn
Step-by-step explanation:
The y - intercept is 8. It represents the height of the candle when it starts to burn.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the height (in inches) of a candle, h(t), is modeled by the function h(t) = 8 - t, where t is the amount of time the candle has been burning.
We have -
h(t) = - t + 8
h(t) = - t + 8
Here, the y - intercept is 8. It represents the height of the candle when it starts to burn.
Therefore, the y - intercept is 8. It represents the height of the candle when it starts to burn.
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Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.
Answer:
60 minutes
Step-by-step explanation:
Given the schedule above :
Red line arrives every 4 minutes
Blue line arrives every 5 minutes
Yellow line arrives every 6 minutes
All three just arrives at the train station ; when next will they all arrive at the train station at the same time.
Obtain the lowest common multiple of each arrov time :
Lowest common multiple of 4, 5, 6
_2___4___5___6
_2___2___5___3
_3___1___ 5 __ 3
_5___1___ 5 __ 1
_____1 ___1 ___1
Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60
Hemce, they all arrive at the train station at the same time after 60 minutes
Please help me the picture is above, I’ll mark as brainliest.
Answer:
function is a straight line, with a y-int of 1, passes VLT and HLT so it is 1:1
Step-by-step explanation:
f(x)= 2x+4
f(-2)= 2(-2)+4 = -4+4 = 0
f(-1)= 2(-1)+4 = -2+4 = 2
f(0)= 2(0)+4 = 0+4 = 4
f(1)= 2(1)+4 = 2+4 = 6
f(2)= 2(2)+4 = 4+4 = 8
idrk the features but i'll guess
the meal cost 54.65 the sales tax is 8% of the meal the tip was 18% of the meal and tax there are 5 people in the holcombe family what was the cost per person for the meal
Answer:
Step-by-step explanation:
total meal cost = meal cost + tax cost + tip cost
[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]
The answer is 10.93
Step by step explanation
how do I factor polynomials
Which graph represents an exponential growth function? On a coordinate plane, a line rapidly decreases and then levels off. On a coordinate plane, a line increases gradually. On a coordinate plane, a line decreases gradually. On a coordinate plane, a line is level and then curves upwards rapidly.
The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).
The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.
What are exponential functions?Exponential functions are functions that are defined as [tex]y = ab^x[/tex]
Where:
b represents the ratea represents the initial valueAssume that a has positive value, and the b is greater than 1.
Then it means that, the function is an exponential growth function.
An exponential growth function that has a positive initial value will start with a level line, then curve up
Hence, the graph that represents an exponential growth function is (d)
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Mrs. Deblinsky purchases 850 shares of Cracker Barrell at 45.20 per share. She pays a 1.5% commission to her broker for the transaction. After a year, she sells her holdings for 41.90 a share, using a discount broker who charges $19 per trade. What was her net capital loss?
Answer: 3362
Step-by-step explanation:
Based on the question, the cost price for the shares will be:
= (850 × 45.20) + 1.5%(850 × 45.20)
= 38420 + 0.015(38420)
= 38420 + 576.3
= 38996.
Selling price will be:
= (850 × 41.9) + 19
= 35615 + 19
= 35634
Net capital loss = 38996 - 35634
= 3362
Write the equation of a line which passes through points (4,2) and (0, -2).
Answer:
y=x-2
Step-by-step explanation:
if you were to plot it onto a graph, the y intercept would be -2
Find the distance between the points
(9,-7) and
(5,-4).
25
5
V137
V7
Answer:
5Step-by-step explanation:
5 is the 100% correct answer.....Hopes to get BRAINLIEST.....Thank you ☺️☺️
What is the quotient of 5.67 x 10^7 and 2.7 x 10^4 expressed in scientific notar
Answer:
2.1 * 10 ^3
Step-by-step explanation:
5.67 * 10 ^7 ÷2.7 x 10^4
Divide the numbers
5.67 / 2.7 =2.1
Divide the exponents
10^7 / 10 ^4
Remember when dividing power, we subtract the exponents
10 ^(7-4) = 10^3
Put this back together
2.1 * 10 ^3
Verify that this is in scientific notation
Since this is in scientific notation, we are done
Answer:
2.1x10 to the power of three
Step-by-step explanation:
\frac{5.67\times 10^7}{2.7\times 10^4}
2.7×10
4
5.67×10
7
Divide them.
\frac{5.67}{2.7}\times \frac{10^7}{10^4}
2.7
5.67
×
10
4
10
7
Divide numbers and 10's separeately.
2.1\times 10^3
2.1×10
3
Subtract exponents.
Calculate the unit rate for each option of Takis, explain which option is better,
and why?
Answer:
they are better because they are cheeper than the other
what Else would need to be congruent to show
Answer:
A
Step-by-step explanation:
Factor 3y3 – 9y2
The factored polynomial is
Answer:
Factor 3y23y2 out of 3y33y3.
3y2(y)−9y23y2(y)-9y2
Factor 3y23y2 out of −9y2-9y2.
3y2(y)+3y2(−3)3y2(y)+3y2(-3)
Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).
3y2(y−3)
Step-by-step explanation:
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Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?
Answer:
$12.84
Step-by-step explanation:
Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.
Then multiply 0.12 by 107 to get the price + tax.
You'll end up with 12.84.
Then just add your units to get $12.84.