Given Information :-
⠀
Speed = 6 m/sTime taken = 5 seconds⠀
To Find :-
⠀
The distance covered in that time interval⠀
Solution :-
⠀
We know that, the formula used to calculate distance , when we are provided with time and speed, is :-
⠀
[tex] ✤ \: \orange{ \underline{ \boxed{ \sf Distance = Speed \times Time}}} \: \star \\ \\ [/tex]
Thus, putting the given values, we will get,
⠀
[tex] \sf \hookrightarrow Distance = \dfrac{6 \: m}{s} \times 5 \: s \\ \\ \\ \sf \hookrightarrow Distance = \frac{6 \: m}{ \cancel s} \times 5 \: \cancel s \\ \\ \\ \sf \hookrightarrow Distance =6 \: m \times 5 \: \: \: \: \\ \\ \\ \sf \hookrightarrow Distance =30 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the distance covered in 5 second by that speed is 30 m.
⠀
[tex] \underline{\rule{227pt}{1.5pt}} \\ \\ [/tex]
if john has 5 apples in he gives 2 two his friend how many will have in all
Answer:
5 apples
Step-by-step explanation:
Answer:
3 5-2=3
Step-by-step explanation:
Consider the equation below. n2 3h2 right arrow. 2nh3 what is the mole ratio of hydrogen to ammonia? 1:1 1:2 3:2 5:4
The mole ratio of hydrogen to ammonia in the equation N₂ + 3H₂ → 2NH₃ is 3:2
How to find mole ratio?we will balance the equation to find the mole ratio of the hydrogen to ammonia.
Therefore,
N₂ + 3H₂ → 2NH₃
From the equation, Nitrogen has a coefficient of 1 , Hydrogen have a coefficient of 3 and ammonia have a coefficient of 2.
Therefore, the coefficient of the substance is the number of moles.
Hence, the mole ratio of hydrogen to ammonia is 3:2
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In ΔABC, if C is a right angle, what is the measure of x?
Answer:
x ≈ 72.3°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{7}{23}[/tex] , then
x = [tex]cos^{-1}[/tex] ( [tex]\frac{7}{23}[/tex] ) ≈ 72.3° ( to the nearest tenth )
6. At one point, there were only 2,410
black rhinos left on Earth. With the help
of conservation efforts, the black rhino
population then increased by about 130%.
About how many black rhinos were on
Earth then?
5543 rhinos.
Explanation:present population: total population(100% + increased percentage)
Based on the information, insert following :
Black Rhinos = 2410(100% +130%) = 2410(230%) = 2410(2.3) = 5543
Which graph represents the solution of y > x2 + 2?
The graph that represents the solution of y>x²+2 is given below.
The given inequality is y>x²+2.
We need to identify which graph represents the solution of y>x²+2.
What is an inequality graph?Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.
For example, this graph shows inequality. This can be seen as there is a dashed line, and the region where the coordinates are less than -1 is shaded.
Graph the inequality by finding the boundary line, and then shading the appropriate area.
Put x=0, 1, 2, 3,....in the inequality and solve for y.
We get y=2, 3, 6, 11,...
The graph that represents the solution of y>x²+2 is given below.
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Answer:
I did it and got it correct
Step-by-step explanation:
Triangle DEF is simialar to triangle ABC
Step-by-step explanation:
This is false as you do not what type of triangle that it is
whats the square root of 55
Answer:
7.4161984871
Step-by-step explanation:
7.4161984871x7.4161984871=55
Answer:
3025
Step-by-step explanation:
HELP PLEASE WHAT IS THE X INTERCEPT
The x intercept for any curve is the value of the x coordinate of the point where the graph cuts the x-axis, or we can say that the x-intercept is the value of the x coordinate of a point where the value of y coordinate is equal to zero.
Let us learn more about the x-intercept along with its formula and examples.
What is X Intercept?In the linear equation, we read that the general form is represented as y = mx + b, where m and b are constants. The x-intercept is the point or the coordinate from where the line crosses and that lies at the x-axis of the plane. This means the y-coordinate value of the respective linear equation will always be equal to 0 when it crosses the x-axis. For x-intercept, the y-coordinate is zero and for the y-intercept, the x-coordinate is zero. the x-intercept is also known as horizontal intercept.
X Intercept FormulaThere are various formulas and equations associated with intercepts. Below listed are a few general formulas mostly used. All these formulas are derived by substituting y = 0 in the equation and solving for x.
The general form of a straight line is: ax+by+c=0, where a,b,c are constants. The x intercept of the line can be obtained by putting y = 0, x-intercept = −c/aThe slope-intercept form of a straight line is: y = mx+c, where m is the slope of the line and c is the y-intercept. The x-intercept of the line can be obtained by putting y=0, x-intercept = −c/mThe point-slope form of a straight line is y−b = m (x−a), where m is the slope of the line, (a,b) is a point on the line. The x-intercept of the line can be obtained by putting y = 0, x-intercept = (am−b)/m.The intercept form of a straight line is x/a + y/b = 1 where (a, 0) is its x-intercept and (0, b) is its y-intercept.X Intercept on a GraphTo find the x-intercept of a line of the form y = mx+b, substitute y = 0.
Example: To calculate the x-intercept of any line for example the line y = 2x−4, put y = 0 in the equation of a line.
Solution:
0 = 2x−4
4 = 2x
2 = x
So, the x-intercept of the line y=2x−4 is 2
Similarly, by substituting x = 0, we can find the y-intercept
y = 2(0)−4
y= -4
Evaluate the given integral by changing to polar coordinates. 49 − x2 − y2 darwhere r = (x, y) | x2 y2 ≤ 49, x ≥ 0
The value of the integral is 343π/3 by changing to polar coordinates. √(49 − x2 − y2) dA where r = (x, y) | x2 y2 ≤ 49, x ≥ 0
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have the integral:
[tex]\int\limits \int\limits_R {\sqrt{49-x^2-y^2}} \, dA[/tex]
Where, r = (x, y) | x2 y2 ≤ 49, x ≥ 0
The polar coordinate will be:
x = rcosθ
y = rsinθ
Where x²+y²= r²
Put the value of x and y in the integral, and the limits will be:
r²≤49 or 0≤r≤7, -π/2≤θ≤π/2 ( since x ≥0)
dA = rdrdθ
[tex]\int\limits \int\limits_R {\sqrt{49-x^2-y^2}} \, dA = \int\limits^{\dfrac{\pi}{2}}_{\dfrac{-\pi}{2}} \int\limits^7_0 {\sqrt{49-r^2]} \, rdrd\theta[/tex]
After solving the double integration, we will get:
[tex]\int\limits \int\limits_R {\sqrt{49-x^2-y^2}} \, dA = \dfrac{343}{3} \pi[/tex]
Thus, the value of the integral is 343π/3 by changing to polar coordinates. √(49 − x2 − y2) dA where r = (x, y) | x2 y2 ≤ 49, x ≥ 0
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A 3% fee is taken out of an initial amount of $3,460, and then a $100 fee is taken after that, leaving a new amount of
Answer:
turn 3% into decimal by diving 3 by 100
3/100=0.03
0.03X3460=103.80
3460-103.80=3356.20
3356.20-100=3256.2
LOOK AT PICTURE BELOW
what’s the area and the perimeter and of the triangle?
The multiplication of two rational numbers results in a _____________
===========================================================
Explanation:
The proof of this is as follows
p, q, r and s are integers
q and s cannot be zero
A = some rational number = p/q
B = some other rational number = r/s
A*B = (p/q)*(r/s) = (p*q)/(r*s)
The result is of some form integer/integer, where the denominator is nonzero. This shows that A*B is rational.
Therefore,
rational*rational = rational
---------------
A few examples:
(1/2)*(3/7) = (1*3)/(2*7) = 3/14(2/5)*(9/8) = (2*9)/(5*8) = 18/40 = 9/20(7/3)*(-1/9) = (7(-1))/(3*9) = -7/27Side note: any whole number is a rational number. For instance, the number 7 can be thought of as the fraction 7/1 or 14/2 or 21/3 and so on.
Find the length of a ladder which is 3 feet from the base of the wall and reaches 8 feet up the wall.
Answer:
√55
Step-by-step explanation:
Using the Pythagorean Theorem:
3 squared equals 9, and 8 squared equals 64. 64-9=55.
Find the Surface area
Answer:
12057.6
Step-by-step explanation:
formula is 3.14*r^2*h/3
A proton moves in a circular orbit of radius 65 cm perpendicular to a uniform magneticfield of magnitude 0. 75 t
The speed of the proton is [tex]\rm 4.7 \times 10^7 \ meter \ per \ second[/tex].
What is the speed of the proton?For the speed of a proton that has been accelerated from rest, we would apply the work-energy theorem:
A proton moves in a circular orbit with a radius of 65 cm that is perpendicular to a uniform magnetic field of magnitude 0.75 T.
The speed of the proton is given by the following formula;
[tex]\rm V=\dfrac{2\pi R}{T}\\\\V=\dfrac{2 \times 3.14 \times 0.65m }{87.4ns}\\\\V =4.7 \times 10^7 \ meter \ per \ second[/tex]
Hence, the speed of the proton is [tex]\rm 4.7 \times 10^7 \ meter \ per \ second[/tex].
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PLEASE HELP ME
Select the correct answer. Which stem and leaf plot represents the given data set?
Answer:
i think its x
Step-by-step explanation:
it looks simple yet intimidating
what’s the circumference, to this problem ?
Answer:
9.42 i think
Step-by-step explanation:
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].
We can then input the value and we get that [tex]C=3*\pi[/tex] which then just narrows down to [tex]C=9.425[/tex].
Hope this helps! Let me know if you have any questions
The company is going to choose three rows in each section to win the hats. There are 46 rows in a
section. If you are sitting in a winning section, what is the probability that you are not sitting in a winning
row?
Answer:
[tex]\frac{43}{46}[/tex]
Step-by-step explanation:
3 out of 46 rows are going to win, meaning that 43 out of 46 rows are not going to win
Make that a fraction:
[tex]\frac{43}{46}[/tex]
Suppose A< - 1 what must be true about the value of b so that ab< a
Answer:
b must be positive
Step-by-step explanation:
if a is less than -1
that means to get smaller numbers
b needs to be positive
so that when a is multiplied by b you would have
numbers that are more negative
Answer:
b > 1
Step-by-step explanation:
Given:
a < -1 ab < aSubstituting a = -1 into ab < a
⇒ (-1)b < -1
⇒ -b < -1
⇒ b > 1
If a < -1 then a is negative. If ab < a then ab is also negative.
In order for ab to be negative (when a is negative) b must be positive.
For ab < a then b > 1.
Proof
If b = 0.5 and a = -1.5 then ab = -0.75
As -0.75 > -1.5 then ab > a so this cannot be true.
If b = 1.5 and a = -1.5 then ab = -2.25
As -2.25 < -1.5 then ab < a so this is true.
Therefore b > 1
Find the diameter of a circle with a
circumference of 63 ft.
Answer:
20ft
Step-by-step explanation:
circumference of a circle in terms of diameter has the formular
C = πd
63 = 3.142×d
d= 63/3.143=20.050
diameter= 20ft
help me, please......
Answer:
(x, y ) → (x - 4, y + 8 )
Step-by-step explanation:
4 units left in the x- direction means subtract 4 from the x- coordinate
8 units up in the y- direction means add 8 to the y- coordinate
Then the translation rule is
(x, y ) → (x - 4, y + 8 )
4(x+3)-7>=x+3(x+1)
Solve the inequality
Step-by-step explanation:
4(x+3) -7 >= x + 3 (x +1 )
4x + 12 - 7 >= x + 3x + 3
4x - x - 3x >= 3 - 12 + 7
0 >= -2
hey I have done this according to logic if your school has a method please follow that also m not sure if my answer is correct hope it helps though.
A medical sales representative of a certain antibacterial cream ask people who visited their kiosk whether they have tried to use their brand before. What sampling technique was used in this situation?
Cluster Sampling
Volunteer Sampling
Stratified Sampling
Simple Random Sampling
The sampling technique that was used in the situation is (d) Simple Random Sampling
How to determine the sampling technique?From the question, we understand that all people that visited the kiosk were asked the same question.
The people that visited the kiosk have equal chance of being selected.
This type of selection or sampling is a simple random sampling
Hence, the sampling technique that was used in the situation is (d) Simple Random Sampling
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Logan has x twenty-dollar bills and 1 fifty-dollar bill. How much money does Logan have? Write your answer as an expression,
Answer:
Logan has 20x + 50 dollars.
Hope this helps!
Answer:
20x+50
Mark brainliest :)
The mean of the following data is 509.
{419,450,462,499,520,521,589,612}
What is the mean absolute deviation for the data set?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
If the mean value of the data set is 509. Then the mean absolute deviation (MAD) for the data set will be 51.5.
What is the mean absolute deviation?It is the average distance between each data point and the mean.
The mean of the following data is 509.
{419, 450, 462, 499, 520, 521, 589, 612}
Then the mean absolute deviation (MAD) for the data set will be
[tex]\rm MAD =\dfrac{1}{n}\sum_{i=1}^{n}\left|x_i - \mu \right|[/tex]
We have
μ = 509
n = 8
Then
[tex]\rm MAD =\dfrac{1}{8} \times (|419 - 509| + |450- 509| + ..... + |612 - 509|) \\\\MAD = 51.5[/tex]
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7. What is the surface area of the triangular prism shown?
Answer:
1120 yd²
Step-by-step explanation:
Surface area =
(Perimeter of the base × Length of the prism) + (2 × Base Area) =
(S1 + S2+ S3)L + bh
(17 + 15+ 8)25 + 15*8
40*25+120
1000+120 =
1120
cuemath
What are the coordinates of points B, C, and E?
Answer:
B (-4, 8)
C (3, 5)
E ( 7, 0 )
Step-by-step explanation:
Text Book
what’s the value of x
Answer:
x = 11
Step-by-step explanation:
282/2 = 141
180 - 141 = 39
4x - 5 = 39
4x = 44
x = 11
Divide. (4x^4 - 4x^2 - x-3) = (2x^2 – 3)
Answer:
[tex]\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}[/tex]Step-by-step explanation:
Step 1:
Simplify: [tex]\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}[/tex]Checking for a perfect cube:
4x⁴ - 4x² - x - 3 is not a perfect cube.Trying to factor by pulling out:
Factoring: 4x⁴ - 4x² - x - 3 Thoughtfully split the expression at hand into groups, each group having two terms:Group 1: - x - 3 Group 2: 4x⁴ - 4x³ Pull out from each group separately:Group 1: (x + 3) • (-1)Group 2: (x² - 1) • (4x²)Bad news!! Factoring by pulling out fails:The groups have no common factor and can not be added up to form a multiplicationFinal result:
[tex]\frac{4x^4 - 4x^2 - x - 3}{2x^2 - 3}[/tex]