Answer:
66%
bcz out of 3 stuff in 100% is 66%
When an object falls freely, the formula for the distance it falls is d= 4.9t^2 where d is
the distance, in metres, and t is time, in seconds.
a) After 5 seconds, how far does an object fall, in metres?
b) How many seconds does it take to fall 490 m?
Answer:
a) 122.5 m ; b) 10 s
Step-by-step explanation:
Just use the given equation and plug in what you know.
a)
d = 4.9t^2
d = 4.9(5^2)
d = 4.9 * 25
d = 122.5 m
b)
d = 4.9t^2
490 = 4.9t^2
100 = t^2
t = 10 s
Answer:
a) 122.5 meters
b) 10 seconds
Step-by-step explanation:
Suppose AABC = AEFD, AEFD = AGIH, ZA = 90°, and mZF= 20°. What is mZH?
a. 20°
b. 70°
C. 90°
d. Cannot be determined
Un grupo de estudiantes se junta a celebrar el termino del semestre, para lo que acuerdan preoarar un curanto. Reunen todos los ingredientes y los ponen en una olla y le aplican fuego hasta que esta alcanza una temperatura de 175°C. En este momento retiran la olla del fuego y queda expuesta a la temperatura ambiental, que es de 12°C
Answer:
El problema esta incompleto, pero es facil ver que se desea estudiar el enfriamiento de la olla.
Sabemos que la ecuación de enfriamiento de Newton es:
[tex]T (t) = T_s + (T_0 - T_s)*e^{-k*t}[/tex]
Donde t es el tiempo.
[tex]T_s[/tex] es la temperatura del ambiente, en este caso es 12°C
[tex]T_0[/tex] es la temperatura inicial del objeto, en este caso 175°C
k es una constante, que es lo que usualmente se pide obtener en este tipo de problemas.
Reemplazando esos valores en nuestra ecuación obtenemos:
[tex]T(t) = 12 + (175 - 12)*e^{-k*t}\\\\T(t) = 12 + (163)*e^{-k*t}[/tex]
Ahora se nos dice:
"Luego de 10 minutos, la temperatura de la olla será de 100°C"
(estos valores no son necesariamente los del problema, son unos valores genéricos para poder mostrar como se resuelve este tipo de ejercicio)
Entonces, T(10 min) = 100°C
Reemplazando eso en nuestra ecación, obtenemos:
[tex]T(10 min) = 100 = 12 + (163)*e^{-k*10min}[/tex]
Ahora podemos despejar el valor de k resolviendo la ecuación de arriba.
[tex]100 - 12 = (163)*e^{-k*10min}\\\\88 = (163)*e^{-k*10min}\\\\88/163 = e^{{-k*10min}[/tex]
Ahora podemos recordar que:
ln(e^x) = x
Entonces aplicando el logaritmo natural a ambos lados, obtenemos:
[tex]ln(88/163) = ln(e^{-k*10min}) = -k*10min\\\\ln(88/163)/(-10 min) = k = 0.062 min^{-1}[/tex]
Así hemos encontrado el valor de k, y con exactamente el mismo método podríamos encontrar k en cualquier situación de este tipo.
helpppppppppppppppppppppp..... .......
Answer:
[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]
Problem 2 Find the mBC.
Answer:
38º
Step-by-step explanation:
<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.
So mBC = 38º
Which choice is equivalent to the expression below?
Answer:
C. [tex]4\sqrt{7} -4x\sqrt{7}[/tex] is correct
Steps:
[tex]4\sqrt{7} -3\sqrt{7}x-x\sqrt{7} \\\\4\sqrt{7} -3\sqrt{7} x-\sqrt{7} x\\\\4\sqrt{7} +(-3\sqrt{7} x-\sqrt{7} x)\\\\4\sqrt{7} -4\sqrt{7} x[/tex]
Answer:
C. 4√7 - 4x√7
Step-by-step explanation:
4√7 - 3x√7 - x√7
combine like terms
4√7 - 4x√7
grafique la recta que pasa por el punto (-2,4) y tiene pendiente m= -2/3
(3x+2y)(3y+2x)hiihhhhhhhhhhhhhhhh
Answer:
The answer is x = 2y
Step-by-step explanation:
(3x + 2y) (3y + 2 y)
3x = 3y + 2y + 2y
3x = 7y
x = 7 ÷ 3
x = 2y
please help, it is similar to angles. halpp
Answer:
Step-by-step explanation:
Because those 2 lines are parallel, then 2x + 10 and 2x - 30 are same side interior and are supplementary. Therefore,
2x + 10 + 2x - 30 = 180 and
4x - 20 = 180 and
4x = 200 so
x = 50
Answer:
x = 50
Step-by-step explanation:
Two Parallel lines and an transversal.
Given angles are co - interior angles and they are supplementary.
2x + 10 + 2x - 30 = 180
2x + 2x + 10 -30 = 180 {Combine like terms}
4x - 20 = 180
4x = 180 + 20 (Add 20 to both sides}
4x = 200 {Divide both sides by 4}
x = 200/4
x = 50
Luiza earned a total of 604 points playing a skee-ball game. Different points are awarded depending on which hole the ball goes through. When the ball goes in the smallest hole, it is worth 100 points. When it goes in the bigger hole, it is worth 10 points, and when it does not go in either hole, it is worth 1 point.
Which combination could be how Luiza earned her 604 points?
4 balls in the bigger hole, and 6 balls in neither hole
4 balls in the smallest hole, and 6 balls in neither hole
4 balls in neither hole, and 6 balls in the smallest hole
4 balls in the bigger hole and 6 balls in the smallest hole
Answer:
4 balls in neither hole, and 6 balls in the smallest hole
Step-by-step explanation:
4 balls in the bigger hole, and 6 balls in neither hole
4(10) + 6(1) = 46
4 balls in the smallest hole, and 6 balls in neither hole
4*100 + 6(1) = 406
4 balls in neither hole, and 6 balls in the smallest hole
4(1) + 6(100) = 604
4 balls in the bigger hole and 6 balls in the smallest hole
4(10)+6(100) = 640
Find the slope of the line that passes through (26, 15) and (1, 86).
Answer:
-71/25
Step-by-step explanation:
We can use the slope formula when given two points
m = (y2-y1)/(x2-x1)
m = (86-15)/(1 -26)
= 71/-25
= -71/25
Answer:
[tex]\displaystyle m = \frac{-71}{25}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (26, 15)
Point (1, 86)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{86 - 15}{1 - 26}[/tex]Subtract: [tex]\displaystyle m = \frac{71}{-25}[/tex]Write an algebraic expression for “three less than the sum of a number and a four”
Answer:
(x + 4) - 3
Step-by-step explanation:
Let the number be x
(x +4) - 3
Which inequality is not true?
- 7/8 < -0.60
- 7/8 > -0.50
-7/8 > - 15/16
-7/8 < - 1/4
Answer:
b -7/8 > -0.50
Step-by-step explanation:
is your answer
Answer:
- 7/8 > -0.50
Step-by-step explanation:
-7/8 =-.875
Change to get decimals with decimals or fractions to have a common denominator
-.875 < -0.60 true
-.875 > -0.50 false
-14/16 > - 15/16 true
-7/8 < - 2/8true
pls answer this its a question from wootube
Answer:
Its -34 cuhcuhcuchuchcuh
Step-by-step explanation:
cuhcuhcuchucuhcuhcuhcuhcuchcuh
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?
Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?
Answer: The expression is 7/2.
PPPPPlease HHHHHelp, see the picture!
This value is 52 million.
===================================================
Explanation:
During the first year, the well produced 50,000 quarts of water per week. Since there are 52 weeks in a year, the well produced 52*50,000 = 2,600,000 quarts in total for that first year alone. This is the initial value 'a'.
The common ratio is r = 1 - 0.05 = 0.95
So we have a geometric sequence with starting term a = 2,600,000 and common ratio r = 0.95
Since -1 < r < 1 is true, we can use the infinite geometric series formula as shown below.
S = a/(1 - r)
S = (2,600,000)/(1-0.95)
S = 52,000,000
S = 5.2 * 10^7 which is choice D
Yesterday,Kofi earned 50 cedis mowing lawns today. Kofi earned 60% of what he earned yesterday mowing lawns. How much money did kojo earn mowing lawns today
Determine the amount of money Kofi earn mowing lawns today
The amount of money Kofi earn mowing lawns today is 30 cedis
Given:
Amount Kofi earn mowing lawns yesterday = 50 cedis
Amount Kofi earn mowing laws today = 60% of yesterday's earning
= 60% of 50 cedis
= 60/100 × 50 cedis
= 0.60 × 50 cedis
= 30 cedis
Therefore, the amount of money Kofi earn mowing lawns today is 30 cedis
Read more:
https://brainly.com/question/19535437
What is the number when 4is subtracted from the Sum of 4 and 7 multiplied by one-fourth of 20?
Answer:
one fourth of 20 = 5
(4+7)-4*5
11-4*5
11-20
-9
What is the value of x? Enter your Anwser in the box
the question is not clear.
Answer: There isn't enough information to answer this
geometry translations help!!
Answer:
A' (7,-8)
B' (8,-11)
C' (4,-10)
Answered by GAUTHMATH
Answer:
Step-by-step explanation:
A will be 7,-8
B will be 8,-11
C will be 4,-10
How?
add 3 to the x coordinate of the original points and -7 to the y coordinate of the original points, Example: 4+3 = 7 and -1+-7 = -8
In right triangle ABC, if AC = 5/13 and AB = 1, what is the length of BC?
Answer:
BC = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
BC² + AC² = AB²
BC² + ([tex]\frac{5}{13}[/tex] )² = 1²
BC² + [tex]\frac{25}{169}[/tex] = 1 ( subtract [tex]\frac{25}{169}[/tex] from both sides )
BC² = [tex]\frac{169}{169}[/tex] - [tex]\frac{25}{169}[/tex] = [tex]\frac{144}{169}[/tex] ( take square root of both sides )
BC = [tex]\sqrt{\frac{144}{169} }[/tex] = [tex]\frac{12}{13}[/tex]
Helppppp pleaseeee anyoneeeee
Step-by-step explanation:
so, the time to answer questions has to be added to the speaking time to get the total time of the meeting.
the speaking time is constant (25 minutes).
q = 1 means t = 25 + q = 25 + 1 = 26
q = 2 means t = 25 + q = 25 + 2 = 27
q = 3 means t = 25 + q = 25 + 3 = 28
q = 8 means t = 25 + q = 25 + 8 = 33
Emma rides a bicycle 16 miles east and then 15 miles north. About how far is she from her starting point?
Step-by-step explanation:
starting pt.
root 16²+15²
= 256 + 225
=481
distance= 22 miles aprox.please help 15 points (picture)
Answer:
the first difference are all 20.
since the first differences of this relation are constant, it is a linear relation
Answer:
Linear because the account balance increases by a constant 20.
Step-by-step explanation:
→ The first difference is 20 for all values because :
20 - 0 = 20
40 - 20 = 20
60 - 40 = 20
80 - 60 = 20
100 - 80 = 20
Which is a point on the circle whose center is (0, 0) and whose radius is 5?
A. (2, 3)
B. (0, 0)
C. (3, 4)
D. (4, 5)
The equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-a)²+(y-b)² = r²
Where (a, b) is the centre and 'r' is the radius
We have a circle with centre (0, 0) and radius of 5.
Now, Substituting these value into the equation form, we have
(x-0)²+(y-0)² = 5²
x² + y² = 25
Hence, the equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.
Learn more about equation of a circle here:
https://brainly.com/question/10165274
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SOMEONE HELP ME PLEASE
Question
If a 45°-45°-90° triangle has a hypotenuse length of 72, what is the length of each leg of the triangle?
Select the correct answer.
O 7V2
O 7
O V2
O 2
Answer: B
Step-by-step explanation:
We are given that a 45-45-90 triangle has a hypotenuse of [tex]7\sqrt{2}[/tex].
In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.
[tex]a^2+a^2=(7\sqrt{2})^{2}[/tex] [combine like terms]
[tex]2a^2=(7\sqrt{2})^2[/tex] [square root both sides]
[tex]a\sqrt{2} =7\sqrt{2}[/tex] [divide both sides by root 2]
[tex]a=7[/tex]
Now, we know that a leg is length 7, which is B.
Daniel incorrectly solved the equations shown. Explain what he did wrong in each situation and then solve both equations correctly. 16x2 - 9 = 16
V16x2 - 19 - + 16
4x - 3 - +4
4x = +7
* = 14
(a)
IN
y3 - 1 = 7
= 8
(b)
y = 2
Step-by-step explanation:
the scanned description is very hard to understand.
so I think what happened :
16x² - 9 = 16
then the first error :
sqrt(16x²) - sqrt(9) = sqrt(16)
that is wrong, as you cannot split a + or - operation inside a sqrt function into + or - separate sqrt results of the parts.
so, correctly, the only possible transformation involving sqrt for both sides :
sqrt(16x² - 9) = sqrt(16)
but it would be even easier to clean up the various constant numbers with each other.
so,
16x² - 9 = 16
16x² = 25
and now we trashes the square root
sqrt(16x²) = sqrt(25)
4x = 5
x = 5/4 or x = -5/4
and I cannot see or understand for my life what the second equation was, as Daniel did something wrong, so I cannot deduct the original equation out of a supposedly wrong
y³ - 1 = 7
Which is the correct answer?
Answer:
a reflection in the y axis followed by a translation 1 unit down
Step-by-step explanation:
Reflection over the y-axis then a unit down
What is the quotient of es031-1?
Answer:
(x - 2)
Step-by-step explanation:
Given expression is,
[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]
We have to find the quotient.
x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2
x³ + 5x² + 6x
-2x² - 10x - 12
-2x² - 10x - 12
0
Therefore, quotient of the given expression will be (x - 2).
Answer:
X - 2
Step-by-step explanation:
