Please help! It's very confusing to me
Answer:
b. is the equation and 18 is the answer.
Step-by-step explanation:
the 9 plus b has to equal the 27
18 is the value of b.
Perform the indicated operation & simplify.
[tex](8-15i) +(11+24i) = 19+9i\\\\(8-15i)-(11+24i)=-3-39i=-3(1+13i)[/tex]
Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. The correlation (i.e. whether they tend to occur together, or separately, or are unrelated) between the events is unknown.
What is the maximum probability that both event A and event B will occur?
What is the minimum probability that both event A and event B will occur?
The maximum probability that both event A and event B will occur is 18%.
How to compute the probability?From the information, Event A has a 90% chance of occurring. Event B has a 20% chance of occurring. Therefore, the maximum probability will be:
= 90% × 20%
= 18%
The minimum probability that both event A and event B will occur will be:
= (90% + 20%) - 1
= 1.10 - 1
= 10%
Learn more about probability on:
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10+500000000 wats the answer
Answer:
500,000,010
Step-by-step explanation:
The 10 would be added to the last 2 digits (00) of the number. Therefore, the last 2 digits (00) plus 10 would be 10. The remainder of the number would remain the same, making the answer: 500,000,010
What fraction is equivalent to six tenths and has a denominator of 100?
Answer:
6 = 6/10
Step-by-step explanation:
.6 = 6/10 , by definition. = 3/5 (reduced -- divide numerator and denominator by 2.
Answer:
[tex]\dfrac{60}{100}[/tex]
Step-by-step explanation:
Six tenths:
[tex]\dfrac{6}{10}[/tex]
where 6 is the numerator and 10 is the denominator
We want the denominator to be 100, so how do we convert 10 into 100?
We multiply by 10, since 10 x 10 = 100
When working out equivalent fractions, we must remember to do the same operation to both the numerator and denominator. Therefore, we should multiply both by 10:
[tex]\dfrac{6 \times 10}{10 \times 10}=\dfrac{60}{100}[/tex]
Therefore, the fraction that is equivalent to six tenths and has a denominator of 100 is:
[tex]\dfrac{60}{100}[/tex]
(sixty hundredths)
Can somebody please help me thank you
Answer: <
Step-by-step explanation:
50 Points! A section of wall for a mural is shaped like a parallelogram with a base length of 7 feet and a height of 11 feet. A can of paint will cover 20 square feet.
nvm it was 4
Area = length x height:
Area = 7 x 11 = 77 square feet.
divide area of wall by area per can:
77/20 = 3.85 cans
they will need to buy 4 cans
Use a net to find the area of the entire surface of the solid.
A rectangular prism made of unit cubes. The length is 5 unit cubes, width 4 unit cubes, height 3 unit cubes.
The surface area of the prism is
square units.
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 3)}~~ + ~~\stackrel{\textit{left and right}}{2(3\cdot 4)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5\cdot 4)}}\implies 30+24+40\implies 94[/tex]
The area of the entire surface of the solid given is 94 units².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given a rectangular prism.
It consists of 3 pairs of identical rectangular sides.
Area of a rectangle = length × width
Find the area of each rectangular sides to find the total area.
Total area = (5 × 3) + (5 × 3) + (5 × 4) + (5 × 4) + (4 × 3) + (4 × 3)
= 15 + 15 + 20 + 20 + 12 + 12
= 94 units²
Hence the area of the prism given is 94 units².
Learn more about Surface Area here :
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Kerry cut an 8 foot long board in 3 pieces that are equal in length. How long was each board?
Answer:
2 2/3 foot
Step-by-step explanation:
3x=8
x=8÷3
=2 2/3 foot
When asked to factor the trinomial x^2 - 18x + 81, a student gives the answer (x - 9)(x + 9). Which of the following statements is true?
A. The answer is incorrect; the trinomial cannot be factored.
B. The answer is incorrect; the plus sign should be a minus sign.
C. The answer is incorrect; the minus sign should be a plus sign.
D. The answer is correct.
Answer:
B.The answer is incorrect; the plus sign should be a minus sign.
Step-by-step explanation:
[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]
find the area of a circle that has the diameter of 2 feet. ( use 3.14 for pi)
Answer: area of the circle is [tex]3.14ft^{2}[/tex]
Step-by-step explanation:
1. the equation to find the area of a circle is [tex]\pi r^{2}[/tex]
2. the diameter is equal to 2r, meaning to get the radius, divide the diameter by 2. [tex]\frac{2}{2} =1[/tex]
3. plug in the the radius into the equation. [tex]3.14*1^{2} =3.14ft^{2}[/tex]
hope this helped! ♡
jon had 20 grapes an sally took 14 how many are left
Evaluate the expression when g=5 and h=33.
h-4g
Answer:145
Step-by-step explanation:
if h=33 and g=5 the expression would look like 33-4x5 frist 33-4=29 so now we imes by 5, 29x5=145 so 145 is your answer
Help picture below problem 13
Answer:
the measure of 3 is 80 because its l is parlell to r so 80 will be vertical with 3
Step-by-step explanation:
In the electric field [tex]{\vec{E}=3x\hat{i}-2y\hat{j}+5z\hat{k}}[/tex], find the potential difference between the points A(1,3,5) and B(3,2,7)
Let's recall that, the potential difference between any two points X(x,y,z) and Y(a,b,c) is given by ;
[tex]{\boxed{\bf{V_{Y}-V_{X}=\displaystyle \bf -\int_{X}^{Y}\overrightarrow{E}\cdot \overrightarrow{dr}}}}[/tex]So, here ;
[tex]{:\implies \quad \sf \overrightarrow{E}=3x\hat{i}-2y\hat{j}+5z\hat{k}}[/tex]
So, now our second component of the Integrand will just be ;
[tex]{:\implies \quad \sf \overrightarrow{dr}=dx\hat{i}+dy\hat{j}+dz\hat{k}}[/tex]
So, now the whole integrand will just be ;
[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=(3x\hat{i}-2y\hat{j}+5z\hat{k})(dx\hat{i}+dy\hat{j}+dz\hat{k})}[/tex]
[tex]{:\implies \quad \sf \overrightarrow{E}\cdot \overrightarrow{dr}=3xdx-2ydy+5zdz}[/tex]
Now, Let's move to the final answer ;
[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\int_{X}^{Y}3xdx-2ydy+5zdz}[/tex]
As,X is the point (1,3,5) and Y being (3,2,7) , so seperate the integral into three integrals with limits as follows respectively;
[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(\int_{1}^{3}3xdx-\int_{3}^{2}ydy+\int_{5}^{7}zdz\bigg)}[/tex]
[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg(3\int_{1}^{3}xdx-2\int_{3}^{2}ydy+5\int_{5}^{7}zdz\bigg)}[/tex]
[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{3\bigg(\dfrac{x^2}{2}\bigg)\bigg|_{1}^{3}-2\bigg(\dfrac{y^2}{2}\bigg)\bigg|_{3}^{2}+5\bigg(\dfrac{z^2}{2}\bigg)\bigg|_{5}^{7}\bigg\}}[/tex]
[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\bigg\{2\bigg(\dfrac{9}{2}-\dfrac12\bigg)-2\bigg(\dfrac{4}{2}-\dfrac92\bigg)+5\bigg(\dfrac{49}{2}-\dfrac{25}{2}\bigg)\bigg\}}[/tex]
[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{3(4)-(-5)+5(12)\}}[/tex]
[tex]{:\implies \quad \displaystyle \sf V_{Y}-V_{X}=-\{12+5+60\}}[/tex]
[tex]{:\implies \quad \displaystyle \boxed{\bf{V_{Y}-V_{X}=-77\:\: Volt}}}[/tex]
Hence, this is the required answer
Look at the equation below. Identify which equation has no solution
Answer:
C
Step-by-step explanation:
[tex]24a-22 = -4(1-6a)\\\\\implies 24a-22 = -4+24a\\\\\implies -22 = -4\\\\\text{Which is not true, so no solutions exist.}[/tex]
pls help quick!!
10 points
Answer:
The angle B = 70°
Step-by-step explanation:
The sum of angles of a triangle is 180°
=> 40°+(2x-30)°+(x+20)° = 180°
=> 40°+2x°-30°+x°+20° = 180°
=> 30°+3x= 180°
=> 3x = 180°-30°
=> 3x = 150°
=> x = 150/3
=> x = 50°
So,the value of x = 50°
now , angle B = (2x-30) = (2×50 -30 ) = (100-30) = 70°
Which of the following is true of the numbers 4 and 10?
A. The greatest common factor is
B. The least common multiple is
C. The greatest common factor is 20.
D. The least common multiple is 40.
Answer:
None
Step-by-step explanation:
Answer is isn't there
the gcf = 2
the LCM = 20
solve. solve this question if you are intelligent
Answer:
(a) 0 (b) 1^2
Step-by-step explanation:
photo number 1 is answer for question 2(a)
photo number 2 is answer for question 2(b)
Help help help help
Step-by-step explanation:
can you tell me what you don't understand about this ?
because it is really simple, once you understand the transformations of equations.
remember, whatever we do to one side. we have to do also to the other side, so that the information in general stays the same.
(7 - 3x)/2 = 8 multiply both sides by 2
7 - 3x = 16 subtract 7 from both sides
-3x = 9 divide both sides by 3
-x = 3 multiply both sides by -1
x = -3
and that's the whole "secret" about solving an equation.
Answer:
x = -3Step-by-step explanation:
In the question we are given with an equation that is ( 7 - 3x ) / 2 = 8 . And we have asked to find the value of x .
Solution : -
[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{2} = 8[/tex]
Step 1 : Multiplying both sides by 2 :
[tex] \longrightarrow \qquad \: \dfrac{7 - 3x}{ \cancel{2} }\times \cancel{2 }= 8 \times 2 [/tex]
On further calculations, We get :
[tex] \longrightarrow \qquad \: 7 - 3x = 16[/tex]
Step 2 : Subtracting with 7 on both sides :
[tex] \longrightarrow \qquad \: \cancel{ 7 }- 3x - \cancel{ 7 }= 16 - 7[/tex]
On calculating further, We get :
[tex] \longrightarrow \qquad \: - 3x = 9[/tex]
Step 3 : Dividing with -3 on both sides :
[tex] \longrightarrow \qquad \: \dfrac{ \cancel{ - 3}x}{ \cancel{-3}} = \cancel{\dfrac{9}{ - 3} }[/tex]
On calculating further, We get :
[tex] \longrightarrow \qquad \: \red{\underline{\boxed{\frak{x = - 3}}}}[/tex]
Therefore, value of x is -3 .Verifying : -
Now , we are verifying our answer by substituting value of x in given equation . So ,
( 7 - 3x ) / 2 = 8[ 7 - 3 ( -3 ) ] / 2 = 8( 7 + 9 ) / 2 = 816 / 2 = 88 = 8L.H.S = R.H.SHence, Verified .Therefore , our answer is valid .
#Keep LearningHELP!!
what is 23x+(4-5b)
Answer:
just remove the bracket and write normally so it's 23x+4-5b
Step-by-step explanation:
if you meant something else then let me know
In a town of 117 000 people, 14000 like to
Watch hockey. What percent of the town's
Populations like to watch hockey?
Divide number that like hockey by population then multiply by 100:
14,000 / 117,000 = 0.11965
0.11965 x 100 = 11.965%
Round up to 12%
3/5 + 1/4 = ?
Anyone know what the answer is?
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
Volume
Step-by-step explanation:
Length times width times height, is volume and the formula of finding what is inside something.
Volume :- it's the amount of the mass a body can hold
WILL GIVE EXTRA POINTS FOR ANSWER ⭐️⭐️!! PLEASE EXPLAIN IF POSSIBLE
Answer:
B. (-3, 10)
Step-by-step explanation:
I am going to graph the given equation. I then will see which of the points given are within the required area.
-> See attached.
-> I have explained in the image more in-depth as well.
325.39 3.26.3 326.15 326.48 from greatest to least
Answer: 1)3.26.3
2)326.15
3)325.39
4)326.48
Step-by-step explanation: you want to start from the lowest number to get your answer
1.what is a sports car average acceleration if it can go from 0m/s to 27m/s in 6.0 seconds?
2.what is cars acceleration when it slow down from an initial velocity of 4.5m/s to a final velocity of 24.5m/s in 3.2 seconds?
3.a car increases its velocity from 50m/s to 80m/s in 2.0 maintaining its direction.what is acceleration?
4.a turtle moves from a initial velocity of 0.50m/s to 0.80m/s in 6seconds.what is the turtels average acceleration?
Answer:
1.4.5m/s^2
2.6.25m/s^2
3.15m/s^2
4.0.05m/s^2
Step-by-step explanation:
a=v-u
----
t
27-0
------ = 27/6
6
=4.5m/s^2
u=4.5m/s
v=24.5m/s
t=3.2s
(24.5-4.5)÷3.2
=20/3.2
=6.25m/s^2
v=80m/s
u=50m/s
t=2s
(80-50)÷2
15m/s^2
v=0.80m/s
u=0.50m/s
t=6s
(0.80-0.50)÷6
=0.05m/s^2
An airplane flying with the wind takes 5 hours to travel a distance of 960 miles. The return trip takes 6 hours flying against the wind. What is the speed of the airplane in still air and how fast is the wind blowing?
let's recall that d = rt, distance = rate * time.
a = speed of the airplane in still air.
w = speed of the wind
the distance travelled with the wind is 960 miles, so the return trip is pretty much just that, 960 miles.
when the airplane is going with with wind, the airplane is really not going as fast as "a" mph, is really going faster due to the wind, so the speed of the plane is "a + w", because the wind is adding its speed to it.
when the airplane is going against the wind is not really going "a" mph fast either, is really going slower at "a - w" mph, because the wind is subtracting speed from it, so
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{with the wind}&960&a+w&5\\ \textit{against the wind}&960&a-w&6 \end{array}~\hfill \begin{cases} 960=(a+w)(5)\\\\ 960=(a-w)(6) \end{cases} \\\\\\ \stackrel{\textit{using the 1st equation}}{960=(a+w)(5)}\implies \cfrac{960}{5}= a + w\implies 192=a+w\implies \boxed{192-w=a}[/tex]
[tex]\stackrel{\textit{substituting on the 2nd equation}}{960=(\underline{192-w}~~ - ~~w)(6)}\implies \cfrac{960}{6}=192-w-w\implies 160=192-2w \\\\\\ 2w+160=192\implies 2w=32\implies w=\cfrac{32}{2}\implies \blacktriangleright w=16 \blacktriangleleft ~\hfill \blacktriangleright \stackrel{192 - 16}{176=a} \blacktriangleleft[/tex]
What is the rate of change for the equation x+0.5y=5
Answer:
Step-by-step explanation:
The rate of change can be found by using the difference quotient formula and in this case it would be -0.5
┍━━━━━»•» «•«━━━━━━»•» «•«━┑
[tex]f (x)= x^{2},(2, 3) -2[/tex]
The gneral rate of change can be found by using the difference quitieont formula. To find the average rate of change over an interval, enter a function with an interval: f (x)= x^{2},(2, 3) -2
┍━━━━━»•» «•«━━━━━━»•» «•«━┑
HOPE THIS HELPS
Bob bought n packs of pencils. Each pack has 15 pencils. Write an equation to represent the total number of pencils that Bob bought.
Step-by-step explanation:
each pack 15 pencil
n* 15= 15n