Se calcula que la aceleración es - 8,35 m/s.
¿Qué es la aceleración?Ahora sabemos lo siguiente de la pregunta;
Velocidad inicial (u) = 60 km/h o 16,7 m/s
Tiempo empleado (t) = 2 s
Dado que;
v = tu + en
v = 0 m/s porque el carro se detenía
tu = -en
a = -(u/t)
a= -1(6,7 m/s/2 s)
a =- 8,35 m/s
La aceleración es negativa porque la velocidad disminuye con el tiempo.
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Raj measures the height of 70 plants calculate the estimate of the mean height of the plants
The mean height of plants is 44.07cm.
Given that a raj measures the height of 70 plants which is shown in the table in the image attached below.
The mean is defined as the mean value equal to the ratio of the total number of a given set of values to the total number of values contained in that set.
Firstly, we will find the midpoint of the height by using the formula
(upper limit +lower limit)/2
When h is 10<h<20 then the midpoint is
x₁=(10+20)/2
x₁=15
When h is 20<h<0 then the midpoint is
x₂=(20+40)/2
x₂=30
When h is 40<h<50 then the midpoint is
x₃(40+50)/2
x₃=45
When h is 50<h<60 then the midpoint is
x₄=(50+60)/2
x₄=55
When h is 60<h<90 then the midpoint is
x₅=(60+90)/2
x₅=75
Now, we will find the mean height by using the formula
x=(f₁x₁+f₂x₂+f₃x₃+f₄x₄+f₅x₅)/(Σfi)
Here, f₁=7,f₂=15,f₃=27,f₄=13,f₅=8
and Σfi=7+15+27+12+8=70
Substitute these values in the formula, we get
x=(7×15+15×30+27×45+12×55+8×75)/70
x=(105+450+1215+715+600)/70
x=(3085)/70
x=44.07
Hence, the estimate of the mean height of the plants when raj measures the height of 70 plants is 44.07cm.
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You use generally accepted facts (such as: there are approximately 6 billion people on the planet. ) without citing them is it plagiarism?
No, this not plagiarism .You can use generally accepted facts without citing them.
What defines self-plagiarism?
Self-plagiarism is defined as a type of plagiarism in which the writer republishes a work in its entirety or reuses portions of a previously written text while authoring a new work.
What is considered general knowledge in plagiarism?
Common knowledge is typically defined as facts that are unsupported by at least five reliable sources. In the discipline of composition studies, for instance, the statement "Writing is difficult" is taken for granted because at least five reliable sources may support it.How to Avoid plagiarism common knowledge?
Quoting correctly, paraphrasing and summarizing correctly, and documenting (citing) correctly are the keys to providing credit and avoiding plagiarism; you can go to page 3 of this handout for more information. Almost all of the information you discover in outside sources needs to be documented.Learn more about plagiarism
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Select the correct answer.
What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?
OA 2+2-4x+2y+1=0
OB. ++4x-2y+1=0
OC. 2+2+4x-2y+9=0
OD. -+2x+y+1=0
entum. All rights reserved.
Reset
C
Next
C
Using a table, find the range of the function for the given domain:
f(x) = 2x² -7 with domain: x = {-4, -2, 0, 3}
OA.y=(-5, 1, 11, 25}
OB. y = {4, 2, 0, -3)
OC. y =(-11,-9, -7,-4}
OD.y = (25, 1, -7, 11)
The range of the function f(x) = 2x² -7 with domain: x = {-4, -2, 0, 3} is y = (25, 1, -7, 11). Option D is the correct answer.
The range of values that we are permitted to enter into our function is known as the domain of a function.
The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we substitute an x value, this set of values is what the function outputs. The y values are those.
In light of the query
x VS F(x) = 2x² -7
-4 F(4) = [tex]2(-4)^2 -7[/tex] = 25
-2 F(-2) = [tex]2(-2)^2 -7[/tex] = 1
0 F(0) = [tex]2(0)^2 -7[/tex] = -7
3 F(3) = [tex]2(3)^2 - 7[/tex] = 11
∴ Option D, y = (25, 1, -7, 11)
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PLEASE ANYONE: The tennis club has 5 new members each member buys a racet and a tube of balls. If 6 racket cost $186.00 and 6 tubes of balls cost $27.00 how much do the 5 people pay for rackets and balls?
Answer:
Total cost is $177.50.
Step-by-step explanation:
Rackets:
Divide the cost for racket by 6 to find the cost per racket.
186÷6=31
Multiply 31 by 5 to find the cost for 5 rackets.
31×5=155
$155
Tubes of balls:
Divide 27 by 6 to find the cost per a tube of balls.
27÷6=4.50
Multiply 4.50 by 5 to find the cost for 5 tubes of balls.
4.50×5=22.50
$22.50
Add the amounts for rackets and tubes of balls to find the total cost.
155+22.50=177.50
The total cost is $177.50.
Hope this helps!
Use the diagram to complete the following tasks.
Given: S is the midpoint of QT.
Finish the following statement: AQRS = A_
Identify the congruent Zs.
Justify your answer.
The given statements:
1) ΔQRS ≅ ΔSTU (according to the ASA axiom)
2) The congruent ∠S: ∠RSQ ≅ ∠UST (Vertical angles)
What does the ASA axiom state?The ASA axiom states that "two triangles are said to be congruent if two pairs of corresponding angles and the sides between these angles are equal".
Finding the given tasks:It is given that,
S is the midpoint of QT.
So, SQ ≅ ST <S>
Since ∠S is at the intersection of two transversal lines, ∠RSQ ≅ ∠UST <A>. This is beacuse they are vertically opposite.
And QT is the transverse line for the parallel lines, QR║UT. So, the alternate angles(interior) are congruent. I.e., ∠SQR ≅ ∠UTS <A>.
From this, the given triangles have two equal corresponding angles and congruent sides in between them.
So, ΔQRS ≅ ΔSTU according to ASA axiom.
Therefore, ΔQRS ≅ ΔSTU and ∠RSQ ≅ ∠UST.
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Solve for x.
A. 3
B. 10
C. 6
D. 1
The values of x is 1 and 6.
According to the statement
we have two tangents which are represented by x+5 and x+1 then
we have to find the value of x to get the perfect value of tangent
so, due to interior values of tangent they are equal to each other but in opposite sign.
But here we have to find the value of x one by one.
It means
Here we take interior value of tangent and exterior value of tangent equal to each other
So, the equations become are written below
X+5= 6 then x = 1
X+1= 7 then x = 6
So, The values of x is 1 and 6.
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determine the slope of the line
Answer:
slope = 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, 6) ← 2 points on the line
m = [tex]\frac{6-0}{0-(-3)}[/tex] = [tex]\frac{6}{0+3}[/tex] = [tex]\frac{6}{3}[/tex] = 2
Line a is purpendicular to line b. if the slope of line a is 7 than what is the slope of line b
The slope of the perpendicular line b is -1/7 if the slope of the perpendicular line a is 7.
According to the question,
Line 'a' is perpendicular to the line 'b'. If the slope of the line 'a' is 7.
The condition of slopes if two lines are perpendicular m₁ m₂ = -1
(7)(m₂) = -1
m₂ = -1/7
Hence, the slope of the perpendicular line b is -1/7 if the slope of the perpendicular line a is 7.
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F(x) = 3* + 10xand g(x) = 5x - 3, find (f - g) (x)
Answer:
(f-g)(x)= (3x + 10) - (5x -3)
f-g = 3x + 10 - 5x + 3
f-g = -2x + 13
The biotic factors of an ecosystem are arranged in feeding levels based on what they utilize for food or energy. Each of these feeding levels is called a
The biotic factors of an ecosystem are arranged in feeding levels known as trophic levels.
What is a trophic level?The trophic level of an organism is the position it occupies in a food web. The trophic level of an organism is the number of steps it is from the start of the chain.
Below are the list of the trophic levels:
1st Trophic Level (Producer) : Makes its own food2nd Trophic Level (Primary Consumer): Consumes producers3rd Trophic Level (Secondary Consumer): Consumes primary consumers4th Trophic Level (Tertiary Consumer): Consumes secondary consumersThe biotic factors of an ecosystem are arranged in feeding levels known as trophic levels.
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Round 18.57631 to three decimal places.
❄ Hi there,
let us revise the rounding rules and then, get down to rounding the number.
[tex]\sf{Rounding \ Rules:}[/tex]
If the number you need to round is followed by a number from 0 to 4, you round down.If the number you need to round is followed by a number that's 5 or more, you round up.Now we can start the rounding process.
Reading the problem & the directions, we notice that we need to round to 3 decimal places (3 numbers after the decimal point).
Looking at the fourth number, we notice that it's less than 5.
∴ we need to round down ↡
↬[tex]\sf{18.57631 \ rounded \ to \ 3 \ DP \ = \bf{18.576}}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
❄
PLEAZE HELP IM STUCK PLS
Answer:
[tex]T_{23}=-153[/tex]
Step-by-step explanation:
[tex]T_{23}=a+(n-1)d\\[/tex]
[tex]=a+(23-1)d=a+22d[/tex]
Now [tex]a=-21[/tex] and
[tex]d=-27-(-21)\\=-6[/tex]
So [tex]T_{23}==21+((22)6\times-1)[/tex]
[tex]=-153[/tex]
Gavin has nickles, dimes, and quarters in the ratio of 1:3:6 if 57 of Gavin's coins are dimes how many nickels and quarters does Gavin have?
Answer:
Gavin has 19 nickels & 114 quarters
Step-by-step explanation:
N : D : Q
1 : 3 : 6 = 57
x : 57 : y
57 / 3 = 19
1 x 19 : 3 x 19 : 6 x 19
19 : 57 : 114
2(-2-4) = use the distributive property to expand the expression below.
Answer:
-12
Step-by-step explanation:
First, solve in parentheses.
2(-2-4)
=
2(-6)
Next, multiply 2 by -6.
Which equals -12.
So therefore using the distributive property shown above, the answer would be -12.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{What is the distributive formula?}[/tex]
[tex]\mathsf{a(b + c)}[/tex]
[tex]\mathsf{= a(b) + a(c)}[/tex]
[tex]\mathsf{= ab + ac}[/tex]
[tex]\huge\textbf{What is the equation?}[/tex]
[tex]\mathsf{2(-2 - 4)}[/tex]
[tex]\huge\textbf{What are we simplifying?}[/tex]
[tex]\mathsf{2(-2 - 4)}[/tex]
[tex]\mathsf{= 2(-2) + 2(-4)}[/tex]
[tex]\mathsf{= -4 - 8}[/tex]
[tex]\mathsf{= -12}[/tex]
[tex]\huge\textbf{How are you going to translate to}\\\\\huge\textbf{easier terms?}[/tex]
[tex]\mathsf{2(-2 - 4)}[/tex]
[tex]\mathsf{= 2(-6)}[/tex]
[tex]\mathsf{= -12}[/tex]
[tex]\huge\textbf{What is the ANSWER to the question?}[/tex]
[tex]\huge\boxed{\mathsf{-12}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is the perimeter of the contest area on the judo mat?
(please be quick)
The population of a bacteria culture quadriples every 30 minutes. If the culture started with 8 cells, how many cells will be in the culture after 3 hours?
Using an exponential function, it is found that there will be 32,768 bacteria after 3 hours.
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.x is the number of time periods.For this problem, the parameters are:
a = 8, b = 4.
3 hours is 6 periods of 30 minutes, hence the amount is:
[tex]y = 8 \times 4^6 = 32768[/tex]
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Help please
9 2 7
X = 12 x 12
Answer:
x=12
Step-by-step explanation:
x^9=12^9
power of 9 cancel eachother at both sides of equation.
so
x=12
A fair six sided die is rolled twice what is the probability it will end on one and then six
Answer:
2.78%
Step-by-step explanation:
Probability Formula
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
We are told that the six-sided dice is fair. This means that each of the faces has the same probability of being rolled.
Therefore, the probability of rolling one is:
[tex]\implies \sf P(x = 1)=\dfrac{1}{6}[/tex]
The probability of rolling six is:
[tex]\implies \sf P(x = 6)=\dfrac{1}{6}[/tex]
Therefore, the probability of rolling one and then six is:
[tex]\begin{aligned}\implies \sf P(x=1)\:and\:P(x=6) & = \sf \dfrac{1}{6} \times \dfrac{1}{6}\\& =\sf \dfrac{1}{36}\\& = \sf 0.0278\:(3\:s.f.)\\& = \sf 2.78\%\:(3\:s.f.)\end{aligned}[/tex]
Total elements in sample space=6
P(1)
1/6P(6)
1/6P(1 and 6)
(1/6)²1/362.78%sutopa has 3/4 the money maneet has. maneet has $18 less than Kim. together, they have $286.40. How much money does each of them have?
The amount of money Kim, maneet and Sutopa have is $115.6, $97.6 and $73.2 respectively.
EquationKim = xManeet = x - 18Sutopa = 3/4(x-18)Total = $286.40x + (x - 18) + 3/4(x-18) = 286.40
x + x - 18 + 3/4x - 13.5 = 286.40
2 3/4x = 286.40 + 13.5 + 18
11/4x = 317.9
x = 317.9 ÷ 11/4
= 317.9 × 4 / 11
= 1,271.6 / 11
x = $115.6
So,
Kim = x
= $115.6
Maneet = x - 18
= 115.6 -18
= $97.6
Sutopa = 3/4(x-18)
= 3/4(97.6)
= $73.2
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[tex]\huge\sf\underline{Question}[/tex]
[tex]\sf If \: {x}^{2} + \frac{1}{x ^{2} } = 34[/tex]
[tex]\sf find \: the \: value \: of \: \: \: x + \frac{1}{x} [/tex]
a proper explanation needed :)
Thxx !!
[tex] {\qquad\quad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } = 34[/tex]
[ add 2 on both sides ]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } + 2 = 34 + 2[/tex]
[ form identity : a² + b² + 2ab ]
[tex]\qquad \sf \dashrightarrow \: {(x)}^{2} + { \bigg(\cfrac{1}{ {x}^{} } \bigg) }^{2} + 2 \sdot(x) \sdot \bigg(\cfrac{1}{x} \bigg) = 36[/tex]
[ a² + b² + 2ab = (a + b)² ]
[tex]\qquad \sf \dashrightarrow \: {\bigg (x + \cfrac{1}{x} \bigg) }^{2} = 36[/tex]
[tex]\qquad \sf \dashrightarrow \: {\bigg (x + \cfrac{1}{x} \bigg) }^{} = \sqrt{ 36}[/tex]
[tex]\qquad \sf \dashrightarrow \: x + \cfrac{1}{x} = \pm 6[/tex]
so, the value of required expression is 6
[usually positive value is considered, but if asked the value can be either positive or negative]
20 POINTS
please help and have a good weekend
A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm
The Surface area of the prism = 120 cm².
How to Find the Surface Area of Triangular Prism?Surface area = Area of A + B + C + D
The side lengths are:
A = 6 cm
B = 3 cm
C = 8 cm
D = 10 cm
Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3
Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm
Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²
Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²
Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²
Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².
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I feel like my answers are wrong someone please help
Using translation concepts, the equations are given as follows:
a) [tex]y = \sqrt{16 - 4x^2}[/tex]
b) [tex]y = 3\sqrt{16 - x^2}[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
[tex]y = \sqrt{16 - x^2}[/tex]
In item a, when it is horizontally compressed by a factor of 2, it means that x -> 2x, hence:
[tex]y = \sqrt{16 - (2x)^2} = \sqrt{16 - 4x^2}[/tex]
In item b, the transformations are given as follows:
Vertical expansion by a factor of 3, hence y -> 3y.Reflected in the y-axis, hence x -> -x.Then:
[tex]y = 3\sqrt{16 -(-x)^2} = 3\sqrt{16 - x^2}[/tex]
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PLEASE HELP ME! FAST
The quadrants in which all the coordinates given are located is; As explained below.
How to Identify Quadrants in coordinates?1) (2, 4) is located in Quadrant I where both x and y-values are positive.
2) (0, -3) is located in Quadrant II where x - values are positive but y-values are negative.
3) (-1, 1/2) is located in Quadrant IV.
4) (-2 1/2, -7) is located in Quadrant III where x and y values are both negative.
5) (0, 6) is located in Quadrant I where both x and y-values are positive.
6) (-5, 0) is located in Quadrant IV where x is negative but y is positive.
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What is the surface area of pyramid with a square base of 5km and slant of 4.7km
The surface area of pyramid is 47km^2
A regular pyramid has a base that is a regular polygon and a vertex that is above the center of the polygon.
A pyramid is named after the shape of its base. A rectangular pyramid has a rectangle base. A triangular pyramid has a triangle base.
Given that the base of the pyramid is 5 km and the slant height is 4.7km
We need to find the surface area of pyramid
We know that
The lateral surface of pyramid = 4 *(1/2* length of base * slant height)
= 2*5*4.7
=47km^2
Hence the surface area of the pyramid is 47km^2
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which of the following is the product of the rational expression shown below? make sure your answer is in reduced form x+1/x-4 * 5/x+1
Answer:
C
Step-by-step explanation:
[tex]\frac{x+1}{x-4}[/tex] × [tex]\frac{5x}{x+1}[/tex] ← cancel x + 1 on numerator and denominator
= [tex]\frac{1}{x-4}[/tex] × [tex]\frac{5x}{1}[/tex]
= [tex]\frac{5x}{x-4}[/tex]
Answer:
5x/(x-4)
Step-by-step explanation:
To multiply fractions, all we have to do is multiply the numerators together and the denominators together. If we do that, we get the following:
[tex]\frac{x+1}{x-4}*\frac{5x}{x+1}=\frac{(x+1)(5x)}{(x-4)(x+1)}[/tex]
We notice that both the numerator and the denominator have an (x+1) term. Whenever you have something divided by itself, you get 1. In other words, they cancel out. As such, we can remove them from our answer to simplify it:
[tex]\frac{5x}{x-4}[/tex]
If we do that, we get the expression above. 5x/(x-4) is the reduced product of the rational expression given.
Question 9 of 10
What is the solution to this equation?
x+12= -5
O A. x = 17
O B. x= -7
O C. x = 7
O D. x= -17
Answer:its b
Step-by-step explanation:
trust me its b
For a right triangle with one leg = 3.24 cm and a hypotenuse = 7.16 cm, find the length of the missing leg
Answer:
[tex]a=\sqrt{40.768}[/tex]
Step-by-step explanation:
Given a leg and a hypotenuse we can find the third side by substituting the known values using Pythagorean theorem, let the unknown be a.
[tex]a^2+3.24^2=7.16^2[/tex]
Now all we must do is solve for a:
[tex]a^2+3.24^2=7.16^2\\a^2+10.4976=51.2656\\a^2=40.768\\a=\sqrt{40.768}[/tex]
Instructions: Find the missing segment in the image below.
Answer: 7
Step-by-step explanation:
By the triangle proportionality theorem,
[tex]\frac{?}{21}=\frac{3}{9}\\\\?=7[/tex]
Which graph models the pH of this solution?
The graph that models the pH of this solution is graph A.
What is a graph?It should be noted that a graph is a diagram such as a series of one or more points, lines, line segments, curves, or areas which represents the variation of a variable in comparison with that of one or more other variables.
The pH is a measure of how acidic or basic water is. It should be noted that the range goes from 0 - 14, with 7 being neutral. The pHs of less than 7 indicate acidity, while a pH of greater than 7 indicates a base. The pH is really a measure of the relative amount of free hydrogen and hydroxyl ions that are in the water.
In this case, x represents the concentration of the hydrogen ions. The first graph illustrates this.
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Complete question:
The ph of a particular solution is given by pH=-log(x-2) where x represents the concentration of the hydrogen ions in the solution in moles per liter. Which graph models the ph of this solution?