Answer:
4x² - 1
Step-by-step explanation:
Add:
3x² + 2x - 1
x² - 3x + 1
= 4x² - x
solve the equation x²+11=36
Answer:
x=5
Step-by-step explanation:
Equation:
x^2 + 11=36
1.Subtract 11 on both sides
x^2 = 25
2. Square root 25
x=5
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
6. Find the slope between:
(4, -3) and (8, -3)
Answer:
0
Step-by-step explanation:
what is the value of y
Answer:
100°
Step-by-step explanation:
180 - 80 = 100
The line is 180 so you take away what you already know (80) and then you have 100.
Answer:
180 degree (exterior angle ) please follow and like me
-2(x -3) what number should be distributed
Answer:
-2
Step-by-step explanation:
-2 needs to be distributed to the rest of the equation so that gives you -2x+6
Find the equation of the line of the below:
Answer:
y = -x + 9
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
(0, 9) y-intercept
(9, 0) x-intercept
Step 2: Find slope m
[tex]m=\frac{0-9}{9-0}[/tex]
[tex]m=\frac{-9}{9}[/tex]
[tex]m=-1[/tex]
y = -x + b
Step 3: Write linear equation
y = -x + 9
Answer:
y = -x + 9
Step-by-step explanation:
Slope Formula:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
(0, 9) y-intercept
(9, 0) x-intercept
Step 2: Find slope m
y = -x + b
Step 3: Write linear equation
y = -x + 9
true or faulse
-7(x^2-5x+3) is the same as -7x^2-35x-21
Answer:
sup
Step-by-step explanation:
jk it's true
Answer:
False
Step-by-step explanation:
-7(x^2-5x+3) is the same as -7x^2+35x-21 the original question had the wrong sign for the 35x, a negative times a negative is a positive.
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.
Melanie connected a brown garden hose, a green garden hose, and a black garden hose to make one long hose. The brown hose is 10.75 feet long, the green hose is 16.4 feet long, and the black hose is 8.5 feet long. What is the farthest distance the one long hose can reach? 18.65 ft 24.65 ft 34.84 ft 35.65 ft
Answer:
35.65 feet
Step-by-step explanation:
Melanie connected a brown garden hose , a green garden hose and a black garden hose to make one long hose
The brown hose is 10.75 feet
The green hose is 16.4 feet
The black hose is 8.5 feet
Therefore the farthest distance that the one hose can reach can be calculated as follows
= 10.75 + 16.4 + 8.5
= 35.65 feet
Hence the farthest distance that one hose can reach is 35.65 feet
RiDdLE oF ThE DaY: PaRt 2- Mr.White had been missing and the only evidence he left behind was a paper that said "The first of July, the fourth of January, the first of December and the eighth of February" the police questioned the people that were in the house at that time. Judy said she was at her parents house, Logan was Mr.Whites secretary said he was working on a report for his boss and haven't left his room and Rose, Mr. Whites daughter said she was having guest and never left the living room. Can you crack the case?
Answer:
Step-by-step explanation:
1st of July: J
4th of January: U
1st of December: D
8th of February: Y
Answer: JUDY!
Answer:
Child this has to be one the most hard riddles I ever did
Step-by-step explanation:
Alexander invested $240 in an account paying an interest rate of 2.3% compounded
annually. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 9 years?
Answer:
295
Step-by-step explanation:
After 9 years, Alexander will have $295 in his bank account.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.
For Alexander, S = sum of money after the total period of investment.
P = Principle = $240, r = rate of interest = 2.3% compounded annually, n = time period = 9 years.
Now, S = $240(1 + 2.3/100)⁹= $240(1 + 0.023)⁹ = $240(1.023)⁹ = $294.5
≈ $295
Hence, after 9 years, Alexander will have $295 in his bank account.
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Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs does this situation represent additive inverses explain
y varies directly as x. if x = 10 when y = 40, find x when y = 200.
Answer:
x = 50
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition
x = 10 when y = 40, then
40 = 10k ( divide both sides by 4 )
4 = k
y = 4x ← equation of variation
When y = 200, then
200 = 4x ( divide both sides by 4 )
50 = x
what is the quadrant or axis on which the point is located (0.5, -7) ?
Answer:
Step-by-step explanation:
quadrant 4 (x is positive and y is negative)
a) name the transversal connecting 1 and 5
b) name the transversal connecting 7 and 14
c) name the transversal connecting 8 and 11
d) name the transversal connecting 7 and 15
e) name the transversal connecting 3 and 9
Answer:
a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p
Step-by-step explanation:
The angles pairs and the transversal connecting them are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
Note the following about what a transversal is:
A transversal is a line that intercepts or cut-across two straight lines.A transversal will connect two angles that lie in two other straight lines the transversal intercepts.The two angles connected by a transversal can lie on opposite sides of a transversal or on same side along the transversal.Let's determine the transversal connecting the following given angles:
<1 and <5, is connected by transversal r.<7 and <14 is connected by transversal q<8 and <11 is connected by transversal s<6 and <15 is connected by transversal q<3 and <9 is connected by transversal pTherefore, the answers are:
a. <1 and <5: transversal r.
b. <7 and <14: transversal q
c. <8 and <11: transversal s
<6 and <15: transversal q.
<3 and <9: transversal p.
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is 77.65488319 rational or irrational
Answer:
rationale
Step-by-step explanation:
step by step instructions
Answer:
Irrational
Step-by-step explanation:
The decimal doesn't terminate.
The United States Census collects data on many variables about individuals and households.
Which variables are quantitative?
Select all that apply.
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18.
Number of minors in the household
Family role of respondent
Number of family members residing at the address
Ethnicity
Zip code
Answer:
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18
Number of minors in the household
Number of family members residing at the address
Zip code
Step-by-step explanation:
Given the following :
Select the variables which are quantitative :
Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.
Years living in the U.S. = quantitative
How many adults are registered to vote in the upcoming election? = quantitative
Number of adults over 18. = quantitative
Number of minors in the household = quantitative
Family role of respondent = not quantitative
Number of family members residing at the address = quantitative
Ethnicity = Not quantitative
Zip code = quantitative
I really need the answers or im dead
Answer:
graph it and all of the #s will be negitive
Step-by-step explanation:
Answer:
W: (1, 4)
X: (4, 4)
Y: (6, 2)
Z: (5, 1)
Step-by-step explanation:
Rule for rotaion 270° counterclockwise (90° clockwise): (x, y) ⇒ (y, -x)
J: (-4, 1) ⇒ W: (1, 4)
K: (-4, 4) ⇒X: (4, 4)
L: (-2, 6) ⇒ Y: (6, 2)
M: (-1, 5) ⇒ Z: (5, 1)
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
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
How many 1-foot-square border tiles do you need to surround a pool that is 10 feet long and 5 feet wide
The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work
Pythagoras' theorem is a basic relationship between the three sides of a right triangle. The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
In order to calculate the length of the walkway, we need to calculate the value of b first. Therefore, the value of b using the Pythagoras theorem can be written as,
[tex]D^2=12^2+b^2\\15^2=12^2+b^2\\225=144+b^2\\b^2= 81\\b=9[/tex]
As we got the value of b, now the value of each of the four hypotenuses can be written as,
[tex]A = \sqrt{12^2+8^2} = \sqrt{208}=14.422\\\\B=\sqrt{6^2+8^2}=\sqrt{100} = 10\\\\C =\sqrt{6^2+9^2}=\sqrt{117} = 10.82\\\\D = 15[/tex]
Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,
[tex]Sum = A+B+C+D = 14.422+10+10.82+15 = 50.24[/tex]
Hence, the length of the entire walkway to the nearest hundredth of a yard is 50.24 yds.
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hello… please help What is a parabola in mathematics?
What is an equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 ?
4x+2y+10 = 0 can be rewritten as 2y = -4x-10 and dividing by 2 yields the slope/intercept form of y = mx+b
y = -2x-5
where -2 is the slope (m) and -5 the y-intercept (b)
the line we seek has that same slope, will pass through (7,3), but will have a different y-intercept. Plugging in 7 and 3 for x and y gives us
3 = -2(7)+b => 3 = -14+b => 17 = b making our new line’s equation:
y = -2x+17
An equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 is y = -2x+17.
How to get the slope intercept form of a straight line equation?If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:
y = mx +c
To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.
We know that 4x+2y+10 = 0 can be rewritten as 2y = -4x-10
Thus, dividing by 2 yields the slope/intercept form of y = mx+b
y = -2x-5
where, -2 is the slope (m) and -5 the y-intercept (b)
Now the line we has that same slope, will pass through (7,3), but will have a different y-intercept.
Then Plugging in 7 and 3 for x and y gives us;
3 = -2(7)+b
3 = -14+b
17 = b
Therefore, our new line’s equation:
y = -2x+17
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please help!! i need math help loll
Answer:
x=3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
3 * 3 * 3 = 27
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a Clydesdale drinks about 120 gallons of water every 4 days. At this rate how many gallons of water does a Clydesdale drink in 28 days?
Answer:
A Clydesdale drinks 840 gallons of water in 28 days.
Step-by-step explanation:
120 gallons/4 days is 30 gallons every day. 30 gallons multiplied by 28 days is 840.
Absolute value is DISTANCE. How many units a number is away from zero.
a.) 3
b.)4
C.) -3
d.) -4
I believe it is B) 4
The number line is going by .5 per space and there are 8 spaces in the red line segment. You can then do 8 x .5 and you will get 4.
put these numbers from least to greatest
0.491, 0.49, 0.09, 19.4, 0.049
Answer:
0.09, 19.4, 0.49, 0.049, 0.491
Step-by-step explanation:
Isabella is having a party with 45 balloons. She needs 6 feet of string to attach to
each balloon. How much string would she need if it is sold by the yard? (Hint: 1
yard = 3 feet.)
Answer:
90 yards of string
Step-by-step explanation:
You multiply the 45 Balloons and 6 feet of string. Then u divide it by 3 bc there are 3 yards is a feet.
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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