Answer:
29.17m/s²Step-by-step explanation:
Acceleration is defined as the change in velocity of a body with respect to time.
Acceleration = velocity/time
Given velocity of the space shuttle = 525m/s and time = 18.0seconds
Its average acceleration = 525/18
Its average acceleration (in m/s²) = 29.17m/s²
Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
Answer:
30 minutes
Step-by-step explanation:
Dina took 2 hours to finish the path, since she biked at 10 km/h.
This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.
To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.
What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?
Answer:
(x - 2)^2 + (y + 1)^2 = 26
Step-by-step explanation:
A circle with center O(2, -1) that passes through the point A(3, 4).
=> The radius of this circle is OA which could be calculated by:
OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]
The equation of a circle with center O(a, b) and radius r could be written as:
(x - a)^2 + (y - b)^2 = r^2
=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:
(x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2
<=>(x - 2)^2 + (y + 1)^2 = 26
Hope this helps!
Answer:
(x-2)²+(y+1)²=26
Step-by-step explanation:
(x-2)²+(y+1)²=26
distance formula for radius
√(3-2)²+(4--1)² = √26
(x-h)²+(y-k)²=r²
Factor the greatest common factor.
-30k^6 + 9k^5 - 21k^4
Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
k
2
and
b
=
1
.
9
(
−
36
k
6
+
k
5
−
k
−
2
)
what is the equation of a line that passes through the points -2 -2 and has a slope of four
Answer:
y = 4x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 2, - 2) into the partial equation
- 2 = - 8 + c ⇒ c = - 2 + 8 = 6
y = 4x + 6 ← equation of line
algebra applications: find the value of x and y
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
[tex]5x-y+150=180[/tex] ...........(1)
[tex]5x-y=180-150[/tex]
[tex]5x-y=30[/tex] ............(2)
[tex]5x+y+130=180[/tex] ...........(3)
[tex]5x+y=180-130[/tex]
[tex]5x+y=50[/tex] ...........(4)
Now we adding equation 2 and 4, we get the value of x.
[tex]5x-y+5x+y=30+50[/tex]
[tex]10x=80[/tex]
[tex]x=8[/tex]
Now we are putting the value of x in 4, we get the value of y.
[tex]5x+y=50[/tex]
[tex]5(8)+y=50[/tex]
[tex]y=50-40[/tex]
[tex]y=10[/tex]
Therefore, the value of x and y is 8 and 10 respectively.
Events A and B are overlapping.
P(A) = 4/11; P(B) = 3/11, P(A and B) =2/11 .
Find P(A or B).
Answer:
5/11
Step-by-step explanation:
Since the events are overlapping...
P(A or B) = P(A) + P(B) - P(A and B)
P(A) = 4/11
P(B) = 3/11
P(A and B) = 2/11
P(A or B) = 4/11 + 3/11 - 2/11
P(A or B) = 5/11
Answer:
5/11
Step-by-step explanation:
Please answer this very simple attachment that will be below use the image below to help your answer!!!
Solve the quadratic equation by taking square roots.
1. 2x 2 - 16 = 0
2. -5x2 + 9 = 0
3. 6x2 - 15 = 27
Answer:
see explanation
Step-by-step explanation:
1
Given
2x² - 16 = 0 ( add 16 to both sides )
2x² = 16 ( divide both sides by 2 )
x² = 8 ( take the square root of both sides )
x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]
------------------------------------
2
Given
- 5x² + 9 = 0 ( subtract 9 from both sides )
- 5x² = - 9 ( divide both sides by - 5 )
x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]
-----------------------------------------
3
Given
6x² - 15 = 27 ( add 15 to both sides )
6x² = 42 ( divide both sides by 6 )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
HELP EASY PHYSICS QUESTION URGENT :))
A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally. What is the horizontal distance the ball travels before returning to the ground?
a.15.5 m
b.17.5 m
c.19.5 m
d.21.5 m
Answer:
The horizontal distance the ball travels before returning to the ground is 19.5 m
Step-by-step explanation:
Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]
Where u is the initial velocity
g is gravity
We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.
So, u = 15 m/s
[tex]\theta = 30^{\circ}[/tex]
g = 10
So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]
Hence The horizontal distance the ball travels before returning to the ground is 19.5 m
If the air temperature is −14°F, how many degrees must it rise to reach 0°F?
Answer:
14°
Step-by-step explanation:
→Since the temperature is a negative number, for the degree to reach 0, you must add with the same number.
→The temperature is -14, so to get it to 0, you add 14:
-14 + 14 = 0
Answer: 14 degrees
Step-by-step explanation:
-14 + x = 0
1. Which region has the highest population?
2. Which region has the lowest population?
3. Which range (in millions of people) on the chart contains
the greatest number of regions; 0-3, 3-6, 6-9, 9-12, 12-15 or 15-18?
4. Which regions contain more than 3 million males?
5. Does any region have significantly more females to males
in it?
6. What is the difference (to the nearest million) between the
biggest populated region and the next biggest populated
region?
all I know is for #2 greenland
write a reply to this letter informing the immediate steps that would be taken to solve the problem.
complain against improper garbage collection.
I would like to bring into your attention a problem that is faced by the residence of this area .we have noticed that there is no propose schedule of collection of garbage for the past few months .the original schedule day to collect garbage is on every Friday but this seems to miss this day most of times.
because of that we have faced a lot of problems on rainy days there is a bad odour in an around the area and there is a risk of spreading of diseases .
so please be kind enough to look into this matter as soon as possible .
*will give the brainliest!!
CAN YOU PLEASE INBOX ME ??
(URGENT)use the vectors to determine two dot products
u = 9 i - 6 j
v = -3 i - 2j
w = 19 i + 15 j
u • v = (9 i - 6 j) • (-3 i - 2j)
Distribute the dot products:
u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)
i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have
u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15
In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.
u • w = 9*19 + (-6)*15 = 81
Answer:
A I believe
Step-by-step explanation:
Edge2021
which statements correctly describe the association between the variables A and B ? select each correct answer.
Simplify the radical expression.
- V8n•2 12
The value of the radical expression is A = -3n√12
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = -√8n² ( 12 )
On simplifying , we get
A = -√108n²
Taking the value of n outside , we get
A = -n√108
On further simplification , we get
A = -n3√12
A = -3n√12
Hence , the value of the expression after simplification is A = -3n√12
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Triangle ABC has vertices A(4,5), B(8,9), and C(6,7). What are the vertices of triangle A′B′C′ if triangle ABC is translated according to the algebraic description (x, y) → (x + 3, y – 2)?
Answer:
A'(7,3), B'(11,7) and C'(9,5).
Step-by-step explanation:
The vertices of given triangle are A(4,5), B(8,9), and C(6,7).
Given rule of translation is
[tex](x,y)\rightarrow (x+3,y-2)[/tex]
We need to find the vertices of triangle A'B'C'.
Now,
[tex]A(4,5)\rightarrow A'(4+3,5-2)=A'(7,3)[/tex]
[tex]B(8,9)\rightarrow B'(8+3,9-2)=B'(11,7)[/tex]
[tex]C(6,7)\rightarrow C'(6+3,7-2)=C'(9,5)[/tex]
Therefore, the vertices of triangle A'B'C' are A'(7,3), B'(11,7) and C'(9,5).
What similarity property, if any, can be used to show that the following two triangles are similar
A. Not enough information given
B. AA
C. SAS
D. SSS
Please answer this
Identify the vertex of the parabola plssss..!!!!!!
Answer:
the vertex is (4,-1)
A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answer in terms of pie
Answer:
Step-by-step explanation:
volume of cone=1/3 πr²h
volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h
=1/3π(R²H-r²h)
=1/3π(4.5²×9-3²×6)
=1/3π×9×3(4.5×1.5-2)
=9π(6.75-2)
=9π×4.75
=42.75π cm³
The volume of frustum of cone is [tex]42.75\pi[/tex]
What is frustum of cone?Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
Where,
R = Radius of the bigger circular end
r = radius of the smaller circular end
H = height of frustum
According to the question
Original height of cone = 9 cm
Radius of the bigger circular end = 4.5 cm
Radius of the smaller circular end = 3 cm
Height of frustum = 3 cm
Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]
= [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]
= [tex]\pi [ 20.25 + 9 + 13.5][/tex]
= [tex]42.75\pi[/tex]
Hence, The volume of frustum of cone is [tex]42.75\pi[/tex] .
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Is (–5, 0) a solution to the equation y = 7x − 5?
Answer:
no
Step-by-step explanation:
to see, plug in -5 for x and find your y outcome.
y = 7(-5) -5
y = -35 - 5
y = -40
since y does not equal 0, (-5,0) is not a solution for the equation.
Answer:
no
Step-by-step explanation:
y = 7x − 5?
Substitute the point into the equation
0 = 7(-5) -5
0 = -35-5
0 = -40
This is not true so (-5,0) is not a solution
The graph below models the height of a remote-control helicopter over 20 seconds during flight.
Time (seconds)
Over which interval does the helicopter have the slowest average rate of change?
1) O to 5 seconds
3) 10 to 15 seconds
2) 5 to 10 seconds
4) 15 to 20 seconds
Answer:
2) 5 to 10
Step-by-step explanation:
The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.
Analyzing the intervals:
In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.
In the interval from 5 to 10 the height hardly changes.
In the interval from 10 to 15 the height changes more than in the previous interval (downward).
And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.
thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).
The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?
Answer:
The answer is -2.968
Step-by-step explanation:
I took the test and got it right unlike the other person who got it wrong for me.
Simplify: (–2x+y)(-58 y)
O 10x10,
10xv2
10xy
10x10 ,
Answer:
Choice C
Step-by-step explanation:
[tex](-2x^2y)(-5x^5y^3)=\\\\(-2)(-5)\times (x^2)(x^5)\times (y)(y^3)=\\\\10x^7y^4[/tex]
Hope this helps!
Answer:
10x7 y 4
Step-by-step explanation:
i just answered it
Find the number that makes the ratio equivalent to 2:3.
6: ___
Answer:
Step-by-step explanation:
2:3 = 6: ___
[tex]\frac{2*3}{3*3}=\frac{6}{9}[/tex]
2:3 = 6 :_9___
Answer:2:3=6:9
Step-by-step explanation:
2×3/3×3=6/9
2:3=6:9 !!!!!!!!
whar does it mean that one object has more density than the other object.
pls i need this it is due in not long i put 31 pts for who answers pls.
Which equation represents the graphed function?
HELP ASAP
Answer:
The answer is A.
Step-by-step explanation:
Since the graph is a downward slope, we want to make the 'x' variable a negative. If we pretend that the graph goes up, then it goes up once, being the denominator, and right three times, before being the numerator. This gives you 3/1, which simplifies to 3. The Y intercept where the graph crosses the Y axis is 0,3, which since 3 is the Y variable, that's what we're going with. Henceforth, A is your answer.
what number is being factored in this factor tree?
Answer:
164
Step-by-step explanation:
82 multiplied by 2
Answer:
164
Step-by-step explanation:
2 *82=164
what is the standard equation of the circle in the graph
Answer:
option 1
Step-by-step explanation:
formula:(x-h)^(2)*(y-k)^(2)=r^2
well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2
if you move the circle 2 units up, plug it in you get (-2), so it is
(x+3)^2*(y-2)^(2)=r^2
now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus
(x+3)^2*(y-2)^(2)=9
this is the answer, and the option that has it is answer is option 1
Sara went on a diet and reduced her daily calories from 2,000 to 1,400. By what percent did she reduce her daily calories?
Answer: 30%
Step-by-step explanation:
Difference is (2000 - 1400) = 600
%age reduction 600/2000 x 100 = 30%
How do you convert a decimal into a mixed number 10.5
Answer:
10[tex]\frac{1}2}[/tex]
Step-by-step explanation:
10.5 represents a whole number of 10 and a leftover .5 value.
.5 represents one half
the fraction for one half is 1/2.
leaving you with 10[tex]\frac{1}{2\\}[/tex]