Step-by-step explanation:
gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
its Sl unit is m/s².
hope it helps.stay safe healthy and happy.If P(A) = 2/3, P(B) = 4/5 and P(AnB) = 3/5, what is P(AuB)?
Answer:
13/15
Step-by-step explanation:
P(A∪B) = P(A) + P(B) – P(A∩B)
= 2/3 + 4/5 - 3/5
Getting a common denominator
2/3 *5/5 + 4/5*3/3 - 3/5 *3/3
10/15 + 12/15 - 9/15
13/15
Answer:
[tex] \frac{13}{15} [/tex]
Step-by-step explanation:
We know that,
P(AUB) = P(A) + P(B) - P(A n B)
So,
[tex]P(AUB) = P(A) + P(B) - P(A n B) \\ = \frac{2}{3} + \frac{4}{5} - \frac{3}{5} \\ = \frac{10 + 12 - 9}{15} \\ = \frac{22 - 9}{15} \\ = \frac{13}{15} [/tex]
hope this helps you.
Have a nice day!
Ardi and Lei are both travelling by train.
Ardi's train travels 70 km in 35 minutes.
Lei's train travels 585 km.
It leaves at 9:05 and arrives at 13:35.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
10 kilometer/hour
Step-by-step explanation:
Average speed = Total distance travelled / Total time taken
Ardi:
Total distance travelled = 70 km
Total time taken = 35 minutes = 35/60 hour
Average speed = Total distance travelled / Total time taken
= 70 km ÷ 35/60 hr
= 70 × 60/35
= 4,200/35
= 120 kilometer/hour
Lei:
Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes
= 4.5 hours
Average speed = Total distance travelled / Total time taken
= 585 km / 4.5 hours
= 130 kilometer/hour
Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train
= 130 kilometer/hour - 120 kilometer/hour
= 10 kilometer/hour
Using B.P.T., prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that your have proved it in class IX)
Answer:
See Explanation
Step-by-step explanation:
(For Diagram please find in attachment)
Given, Let Assume triangle ABC Where, DE is Parallel to BC & D is midpoint to AB . ∵ AD=DBTo Prove, E is the midpoint of AC.Proof, If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.Since DE∥BC
∴ By Basic Proportionality Theorem,
AD/DB = AE/EC
Since it is Given, AD=DB
∴ AE/EC =1
∴ AE=EC (Proved)
3√75
simplest rationalizing factor
PLEASE DO ANSWER ONLY IF YOU KNOW IT
Answer:
the square root of 75 is 8.6
and 8.6 times 3 is
the answer is 25.8
Hope This Helps!!!
which line has an undefined slope??
Answer:
A
Step-by-step explanation:
A vertical line has an undefined slope
Line A is a vertical line
50 points please helpppp i dont have much time left to answer it:///
Answer:
Step-by-step explanation:
The first one: The median is 58.
The second one: The maximum value is 58.
The third one: The upper quartile is 58.
The last one: The minimum value is 58.
Additional Mathematics
Answer:
a = 1000, p = 10
Step-by-step explanation:
Given
y = - 3lg x + lg a
in the form y = mx + c ( m is the slope and c the y- intercept )
From the graph
(a)
c = 3 , then
lg a = 3 , that is
a = 10³ = 1000
(b)
Replace x by p and y = 0 in the equation
0 = - 3lg p + 3 ( subtract 3 from both sides )
- 3 = - 3lg p ( divide both sides by - 3 )
1 = lg p
p = 10 [ [tex]log_{10}[/tex] 10 = 1 ]
Can someone help me with this math homework please!
OPTION C
The variable x represents the independent variable.
Which of the following values of r will result in a true statement when substituted into the given equation?
2(4r + 4) = -16
A. r = -3
B. r = -2
C. r = 2
D. r = 3
Helpppppppppppppppppppp
Answer:
[tex]( {4}^{3} \div {5}^{ - 2} {)}^{5} [/tex]
Step-by-step explanation:
[tex] {4}^{15} . {5}^{10} [/tex]
hope this will help you more
have a great day..
Step-by-step explanation:
[tex]( \frac{4 {}^{3} }{5 {}^{ - 2} } ) {}^{5 } \\ ( \frac{4 {}^{15} }{5 {}^{10} } ) \\ \frac{4 {}^{15} }{5 {}^{10} } [/tex]
The area (A) of a circle is a function of its radius (r) and is given by the function A=f(r)=pie r^2. What is the domain of this function
A. All positive real numbers
B. All real numbers
C. All positive real numbers including 0
D. All real numbers excluding fraction
In 25 words or fewer, is this solution reasonable? Why or why not?
Step-by-step explanation:
This solution is reasonable because equal slopes are parallel and negative reciprocals are perpendicular. Four right angles make up a rectangle, and this fulfills it
A and B are two similar 2D shapes
A 12cm
B 15cm
The area of the shape A is 200cm^2.
Calculate the area of shape B
Answer: [tex]312.5\ cm^2[/tex]
Step-by-step explanation:
Given
A and B are two similar shape with lengths of 12 cm and 15 cm
A has an area of [tex]200\ cm^2[/tex]
For similar figures, ratio of the square of corresponding length is equal to the ratio of the area
[tex]\Rightarrow \dfrac{200}{A_b}=\dfrac{12^2}{15^2}\\\\\Rightarrow A_b=\dfrac{15^2}{12^2}\times 200\\\\\Rightarrow A_b=312.5\ cm^2[/tex]
find the positive square root of 7.3441
2.71 is your answer
kqkdkwmd
In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?
Answer: The ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
Step-by-step explanation:
We are given:
UV = 56 units
VT = 33 units
UT = 65 units
∠V = 90°
Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.
[tex]\cos \theta=\frac{\text{base}}{\text{hypotenuse}}[/tex]
Base of the triangle is UV and the hypotenuse of the triangle is TU
Putting values in above equation, we get:
[tex]\cos \theta=\frac{UV}{TU}=\frac{56}{65}[/tex]
Hence, the ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]
Compute the simple interest on a $1000 loan at 16.75 % for five years.
Answer:
$837.5
Step-by-step explanation:
here given
Principal (P)= $ 1000
Rate. (R)= 16.75%
time. (T)= 5year
we know
Simple interest (S.I)= PTR/100
1000*5*16.75/100
= $837.5
Drag the tiles to the correct boxes to complete the pairs match the scale drawing area and the actual area to the correct scale
Answer:
[tex](a)\ r = 1in : 9ft[/tex]
[tex](b)\ r = 1 in: 15ft[/tex]
[tex](c)\ r = 1 in: 16ft[/tex]
[tex](d)\ r = 1in:4ft[/tex]
Step-by-step explanation:
Given
See comment for complete question
Required
The scale of each area
The scale ratio (r) is calculated as:
[tex]r = scale:actual[/tex]
So, we have:
(a) scale : 13 square inches and actual : 117 square feet
[tex]r = 13in : 117ft[/tex]
Divide by 13
[tex]r = 1in: 9ft[/tex]
(b) scale : 5 square inches and actual : 125 square feet
[tex]r = 5in : 125ft[/tex]
Divide by 5
[tex]r = 1in : 25ft[/tex]
(c) scale : 8 square inches and actual : 128 square feet
[tex]r = 8in : 128ft[/tex]
Divide by 8
[tex]r = 1in : 16ft[/tex]
(d) scale : 12 square inches and actual : 48 square feet
[tex]r = 12in : 48ft[/tex]
Divide by 12
[tex]r = 1in:4ft[/tex]
Select the correct answer from each drop-down menu.
The equation of a line is 3/5x+1/3y=1/15
The x-intercept of the line is
and its y-intercept is
Answer:x intercept is where the line is crossing the x axis or where y=0
y intercept is where the line crosses the y axis or where x=0
to find them, set other ting to zero
3/5x+1/3y=1/15
xintercept, set y=0
3/5x+1/3(0)=1/15
3/5x+0=1/15
3/5x=1/15
times 5/3 both sides
x=1/9
xintercept is x=1/9
yintercet
set x=0
3/5(0)+1/3y=1/15
0+1/3y=1/15
1/3y=1/15
times 3/1 both sides
y=1/5
yintercept is y=1/5
xint is x=1/9
yint is y=1/5
Step-by-step explanation:
The equation of line is ( 3/5 )x+ ( 1/3)y = ( 1/15 ) , where x-intercept of the line is ( 1/9 , 0 ) and the y-intercept of the line is ( 0 , 1/5 )
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
( 3/5 )x+ ( 1/3)y = ( 1/15 )
To find the x-intercept of the line, we set y = 0 and solve for x:
3/5x + 1/3(0) = 1/15
3/5x = 1/15
x = (1/15) ÷ (3/5) = 1/9
So the x-intercept of the line is (1/9, 0)
To find the y-intercept of the line, we set x = 0 and solve for y:
3/5(0) + 1/3y = 1/15
1/3y = 1/15
y = (1/15) ÷ (1/3) = 1/5
So the y-intercept of the line is (0, 1/5)
Hence , the equation of line is solved
To learn more about equation of line click :
https://brainly.com/question/14200719
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find the area of the rectangle whose dimensions are 9cm and 8cm.
Answer:
72 cm²
Step-by-step explanation:
Area = 9(8) = 72
..............
Which equation has no solution?
Answer:
Step-by-step explanation:
Jazmine they are asking about the absolute value signs, see how that first one has a negative 6 for the solution? well the absolute value of the other side of that equal sign will never be a negative 6 , see now? so that first answer has no solution :)
let's write the whole numbers from 90 to 100 . Select the appropriate number to form the following sets . Then , write the type of sets .
A={ even number}
B={ odd number}
C={ X:X is a prime numbers}
D={ y:y is a composite number}
E={z:z is a square number}
F={ cube number}
G={ multiples of 7}
H={ X:X is divisible by 11}
A={ even number}
B={ odd number}
C={ X:X is a prime numbers}
D={ y:y is a composite number}
E={z:z is a square number}
F={ cube number}
G={ multiples of 7}
H={ X:X is divisible by 11}
꧁Aɴsᴡᴇʀ꧂AThe even numbers between 90 and 100 are: 90, 92, 94, 96, 98, 100B The odd numbers between 90 and 100 are: 91, 93, 95, 97, 99C The prime number between 90 and 100 is: 97DThe composite numbers between 90 and 100 are: 91, 92, 93, 94, 95, 96, 98 and 99.EThe square numbers between 90 and 100 are:90 = 8100
91 = 8281
92 = 8464
93 = 8649
94 = 8836
95 = 9025
96 = 9216
97 = 9409
98 = 9604
99 = 9801
100 = 10000
F The answer for this is on the attached picture above. Kindly look at it. The cube numbers between 90 and 100. GThe multiples of 7 between 90 and 100 are: 91 and 98HDivisible by 11 (between 90 and 100) is: 99
✩ ⁱ ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ✩
Answer:
A
The even numbers between 90 and 100 are: 90, 92, 94, 96, 98, 100
B
The odd numbers between 90 and 100 are: 91, 93, 95, 97, 99
C
The prime number between 90 and 100 is: 97
D
The composite numbers between 90 and 100 are: 91, 92, 93, 94, 95, 96, 98 and 99.
E
The square numbers between 90 and 100 are:
90 = 8100
91 = 8281
92 = 8464
93 = 8649
94 = 8836
95 = 9025
96 = 9216
97 = 9409
98 = 9604
99 = 9801
100 = 10000
F
The answer for this is on the attached picture above. Kindly look at it. The cube numbers between 90 and 100.
G
The multiples of 7 between 90 and 100 are: 91 and 98
H
Divisible by 11 (between 90 and 100) is: 99
Four friends all give each other presents
The total costs of presents is £80.52
Work out the mean cost of presents in pounds
Please help me ASAP... Will give brainliest
Answer:
52
Step-by-step explanation:
SA=2*4*3+2*4*2+2*3*2=24+16+12=52
Answer: The answer is 52.
Step-by-step explanation: Plug in the formula listed in red words.
2(4x3)+2(4x2)+2(3x2)
= 2(12)+2(8)+2(6)
= 24+16+12
= 52
Therefore, the surface area of the rectangular prism is 52.
SI SE EXTRAE UNA BOLITA DE UNA CAJA CERRADA CON UNA ABERTURA EN LA PARTE SUPERIOR DE LA MISMA.¿CUAL ES LA PROBABILIDAD DE EXTRAER UNA BOLITA DE COLOR SECUNDARIO? LA CAJA CONTIENE : TRES BOLAS DE COLOR PRIMARIO (1 BOLA ROJA,1 BOLA AMARILLA, 1 AZUL) DOS DE COLOR SECUNDARIO(1 NARANJA,1VERDE)
Answer:
La probabilidad es P = 0.4
Step-by-step explanation:
Sabemos que la caja tiene:
3 bolas de color primario (1 roja, 1 amarilla, 1 azul)
2 de color secundario (1 verde, 1 naranja)
Como la bola la sacaremos al azar, todas las bolas tienen exactamente la misma probabilidad de salir.
Queremos obtener la probabilidad de sacar una bolita de color secundario.
Esta probabilidad se calculará como el cociente entre el número de bolitas que cumplen este requisito (es decir, ser de color secundario, sabemos que hay dos de esas) y el número total de bolitas en la caja ( son 5)
La probabilidad es:
P = 2/5 = 0.4
Escribiendo esto en porcentaje (solo se lo multiplica por 100%) tenemos:
40%
Es decir, hay un 40% de posibilidades de sacar una bolita de un color secundario.
0.2(x + 20) – 3 > –7 – 6.2x
Answer:
x > - 1.25
Step-by-step explanation:
0.2(x + 20) – 3 > –7 – 6.2x
0.2x + 4 - 3 > - 7 - 6.2x
0.2x + 1 > - 7 - 6.2x
Collect like terms
0.2x + 6.2x > -7 - 1
6.4x > -8
x > - 8/6.4
x > - 1.25
Note:
The > didn't change because you didn't divide by a negative value
Inequality signs changes when divided by a negative value
Answer:
Step-by-step explanation:
-1.25
Which linear inequality represents the graph below? (-2, 3) & (0, -2)
Answer:
no hablo inglés wey perdón corona y gracias
graphical representation of the function x = f( y) shows that the zeroes will come on
Answers
The zeros of a function represent the x-intercept(s) when the function is graphed. The zeros of a function represent the root(s) of a function.
People at the state fair were surveyed about which type of lemonade they preferred. The results are shown below. Pink lemonade: 156 males, 72 females Yellow lemonade: 104 males, 48 females The events "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6. P(female | pink lemonade ) = P(pink lemonade) = 0.3. P(pink lemonade | female) = 0.3 and P(pink lemonade) = 0.6. P(female | pink lemonade ) = 0.3 and P(pink lemonade) = 0.6.
Answer:
[tex]P(pink) = P(pink |\ female) = 0.6[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}{} & {Male} & {Female} & {Pink} & {156} & {72} \ \\ {Yellow} & {104} & {48} \ \end{array}[/tex]
Required
Why [tex]prefers\ pink\ lemonade[/tex] and [tex]female[/tex] are independent
First, calculate [tex]P(pink |\ female)[/tex]
This is calculated as:
[tex]P(pink |\ female) = \frac{n(pink\ \&\ female)}{n(female)}[/tex]
[tex]P(pink |\ female) = \frac{72}{48+72}[/tex]
[tex]P(pink |\ female) = \frac{72}{120}[/tex]
[tex]P(pink |\ female) = 0.6[/tex]
Next, calculate [tex]P(pink)[/tex]
[tex]P(pink) = \frac{n(pink)}{n(Total)}[/tex]
[tex]P(pink) = \frac{156 + 72}{156 + 72 + 104 + 48}[/tex]
[tex]P(pink) = \frac{228}{380}[/tex]
[tex]P(pink) = 0.6[/tex]
So, we have:
[tex]P(pink) = P(pink |\ female) = 0.6[/tex]
Hence, they are independent
Answer:
P(pink lemonade | female) = P(pink lemonade) = 0.6.
Step-by-step explanation:
A
Question 4
Points 2
A girl cycled a total of 15 kilometers by making 5 trips to work. How many trips will she have to make to
cover a total of 24 kilometers? Solve using unit rates.
In a golf tournament Ned was 6 under par on Saturday and 7 over par on Sunday. What was the difference in his score on Sunday compared to his score on Saturday?
Answer: 13.
Step-by-step explanation:
Since Ned was 6 under par on Saturday and 7 over par on Sunday, the difference in his score on Sunday compared to his score on Saturday will be:
= 7 - (-6)
= 7 + 6
= 13
Therefore, the difference in the scores on Saturday compared to that of Sunday is 13
