Step-by-step explanation:
Given:-[tex]a = \frac{3}{4} [/tex]
Therefore,
[tex] {a}^{2} = ( { \frac{3}{4} })^{2} \\ \: \: = \frac{ {3}^{2} }{ {4}^{2} } \\ = \frac{9}{16} [/tex]
Solution:
Given:
[tex]a = \dfrac{3}{4}[/tex]
Square both sides of the given equation:
[tex]a = \dfrac{3}{4}[/tex]
[tex]\rightarrow (a)^{2} = \text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}^{2}[/tex]
Simplify the equation:
[tex]\rightarrow a^{2} = \text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}\text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}[/tex]
[tex]\rightarrow a^{2} = \text{\huge{[}}\dfrac{3^{2} }{4^{2} }\text{\huge{]}}[/tex]
[tex]\rightarrow \boxed{a^{2} =\dfrac{9 }{16 }}[/tex]
I need answers for this quickly
Answer:
1. x=25
2. x=6
Step-by-step explanation:
1. The angles of a triangle have to add up to equal 180 degrees so 180 minus 130 equals 50 and the two and that are unknown are the same so 50 divided by 2 equals 25
2. It is an isosceles triangle so the two sides are the same and if you plug in 6 for x you get the other missing side of the triangle as 24 as well.
Solve for x: 4x − 2 > 6x + 8.
[tex]\\ \rm\longmapsto 4x-2>6x+8[/tex]
[tex]\\ \rm\longmapsto 4x-6x>8+2[/tex]
[tex]\\ \rm\longmapsto -2x>10[/tex]
[tex]\\ \rm\longmapsto -x>5[/tex]
[tex]\\ \rm\longmapsto x<-5[/tex]
Put 0.25x=0.1+0.2y in standard form
Answer:
standard form=ax+by+c=0
Step-by-step explanation:
0.25x-0.2y-0.1=0
HELP ME
Dudley Durite deposited $350 into a savings account that earns 6.5% interest compounded semi-annually. What amount was in his account at the end of 1-year?
Answer:
$373.12
Step-by-step explanation:
You want to set this up with the equation for compound interest which is [tex]A=P(1+\frac{r}{n})}^{nt}[/tex]. A stands for amount, P stands for principle which in this case is 350, r is rate which for this one is .065, ad n is the amount of times compounded per year, and since it is compounded semi annually you do 2 for 2 times a year. Your equation based on this information should look like this:
[tex]A=350(1+\frac{.065}{2})}^{(2)(1)}[/tex]
After working this out you get A = 373.12
$373.12
Issac walks 6/10 of a mile in 1/5 of an hour if issacs walking rate remains constant what is issacs walking rate in miles per hours
Answer:
3 miles per hour
Step-by-step explanation:
Answer:
3 miles per hour
Step-by-step explanation:
3 miles per hour bc i just know that it is
Henry wants to avoid interest capitalization on his $7,800 unsubsidized Stafford loan. Henry will graduate in four years, and the loan has a duration of ten years. The loan has an interest rate of 5.6%, compounded monthly. How much must Henry pay every month to avoid interest capitalization?
a.
$14.56
b.
$43.68
c.
$36.40
d.
$31.20
Answer: C
c. $36.40
Step-by-step explanation:
Walter white told me
in a school choir there are 50 pupils. If 35 of them were chosen to perform for a musical festival what percentage of students was not chosen to perform
Answer:
15% of the students was not chosen
Step-by-step explanation:
50-35=15%
Answer:
30%
Step-by-step explanation:
school choir=50 pupils
chosen=35
not chosen=?
not chosen =50-35
=15
not chosen %=15/50×100
not chosen %=30%
idk what to do I need help
Answer:
x = 8
Step-by-step explanation:
There are two ways of answering this:
1.)Supplementary Angles/Linear pair:
(5x- 15) + (20x - 5) = 180°
25x - 20 = 180
25x - 20 +20 = 180 + 20
25x = 200
x = 8
2.) Vertical angles theorem:
(5x - 15) = (3x + 1)
5x - 3x -15 + 15 = 3x - 3x + 1 +15
2x = 16
x = 8
9-3y=x
5+3y=x
What is the value of x?
Answer:
Since y has the same coefficient 3 you cancel it
can someone answer these questions?
Answer:
the first question is 80 yards
Step-by-step explanation:
the reason why is because it is a square it has all equal sides, a square has 4 sides so it would be 4 times 20 which equals 80. Hope that helps
Alice arrived at her soccer game at 3:58 p.m. It takes her 45 minutes to bike there. What time did she leave to go to the soccer game? (4 points)
a
3:13 p.m.
b
3:43 p.m.
c
4:13 p.m.
d
4:43 p.m.
Answer: She left at 3:13 pm
Step-by-step explanation:
Subtract 45 from 58 to get 13, therefore she left at 3:13
If a system of equations has infinite solutions, what does the graph look like? Describe it in at least one complete sentence.
Answer:
Step-by-step explanation:
If a system of equations has infinite solutions, the graphs represented by the equations are exactly the same.
0.4 which one is bigger? 0.36
Answer:
0.36
Step-by-step explanation:
alost
have i question if you can answer it on my page plss lol
Answer:
0.4. first make the decimals equal so 0.40 and 0.36 and think of money what is bigger 40 cents or 36 cents? 40 cents so the answer would be 0.4.
Write an equation in slope intercept form that has
one solution
Answer:
7.256277.1768.2.46717
Step-by-step explanation:
hulaan mo nlng
17.899 rounding to the nearest thenth
Answer:
17.9
Step-by-step explanation:
In 17.899 the tenth is .8 and because nine is greater than 5 the 8 becomes a 9
So in the end it looks like 17.9
Hope that helps and have a great day!
Answer:
17.9
Step-by-step explanation:
Look at the digit after the tenth value, 8.
9 > 5 so we add one 1 to 8.
what kind of teaching and learning materials that teacher can used to teach binary operations
Answer:
Most significant digit. That's the same that it's called for any number system.
Step-by-step explanation:
1) Leo wants to open up a new business. He needs $120,000 to be able to start his business. How much does he need to invest at 7% simple interest in order to have a total of $120,000 in 6 years?
Answer:
$285714.2857
Step-by-step explanation:
120000/6= 20000 (One year of interest)
20000/0.07= 285714.2857
Find the area of the triangle.
Answer:
first multiply 19ft by 14
and you will get 166
Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls. What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Answer:
1/4
Step-by-step explanation:
16.66 2/12 invert to decimal
8.33. 1/12 invert into decimal
24.99 adding them up
25/100 = 1/4 round them up then simplify if possible
The probability that he catches 2 red balls and 1 ball of each of the other colors is 150/792.
Given that, total number of balls=12, red number of balls =3, green number of balls=3, blue number of balls =3 and white number of balls =3.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here, C(n,r)= n!/r!(n-r)!
Now, C(12, 5)= 12!/5!(12-5)!
= 12!/5!(7)!
= (12×11×10×9×8×7!)/(5×4×3×2×1)×7!
= 3×11×2×3×4
= 792
Now, C(5, 2)= 5!/2!(5-2)!
= 5!/2!(3)!
= 10
Now, C(5, 1)= 5!/1!(5-1)!
= 5
So, he catches 2 red balls and 1 ball of each of the other colors
= 10×5×3
= 150
The probability of an event = 150/792
Therefore, the probability that he catches 2 red balls and 1 ball of each of the other colors is 150/792.
To learn more about the probability visit:
https://brainly.com/question/11234923.
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A video game displays 108 frames in 4 seconds on Penelope's computer. What is the rate in frames per second?
Answer:
27 frames per second
Step-by-step explanation:
108 ÷ 4 = 27
Answer:
108 ÷ 4 = 27
27 frames per second
when a number was divide by 12 the quotient was 52 and the reminder was 5 what was the number
Answer:
???
Step-by-step explanation:
1. 52 + 5 = 57
2. 57 × 12 = 684
3. Test it out
684 ÷ 12 = 57
which is wrong because of the remainder.
BUT the remainder is not possible because 12 was the number it was divided by and 12 can not go into 5
so either your question is wrong or my solution is wrong
If A = {1, 2, 4, 7} and B = {3, 5, 6, 7}, then A ∩ B=
Answer:
the answer is (7) because 7is the only intersection
The height of a triangle is 2 more than
four times its base. If the area of the
triangle is 21 square units, find the
length of the base of the triangle
Answer:
the length of base triangle is 42cm
help me please i dont get it
Answer:
4. 95°
5. 38°
Step-by-step explanation:
4. 180-85=95.
5. 180-53=128
128-90= 38
which of the following is not a function
Answer:
Where is the question?
Step-by-step explanation:
(02.02)Angle XYZ is formed by segments XY and YZ on the coordinate grid:
A coordinate plane is shown. Angle XYZ has endpoints at 3 comma negative 1 and 6 negative 2 and 3 comma negative 3 and measures 36.87 degrees.
Angle XYZ is rotated 270 degrees counterclockwise about the origin to form angle X’Y’Z’. Which statement shows the measure of angle X’Y’Z’?
m∠X’Y’Z’ = m∠XYZ
m∠X’Y’Z’ = 180 degrees
m∠X’Y’Z’ = 270 degrees
m∠X’Y’Z’ = 2 × m∠XYZ
Answer:
I think is it first one. If it wrong I am so sorry ;w; Good Luck :3
Answer:
option A
Step-by-step explanation:
A $102.00 item is marked down by 73%.
What is the new cost of the item??
$
Answer:
27.54
Step-by-step explanation:
73% can be considered 73/100
So,
73/100 x $102 = $74.46 is the amount of money marked down.
102 - 74.46 = $27.54
Exponential Function:
It is known that the concentration of anesthesia in human blood decreases exponentially according to the function [tex]f(x)=k* 0.95^{x}[/tex] , where K is the initial amount of anesthesia in milligrams and X is the time in minutes since its administration, how many milligrams of anesthesia are left in the patient's blood after hour and a half if it is known that 60 mg of anesthesia is initially administered?
Answer:
0.59 mgStep-by-step explanation:
Given Function f(x)= k*0.95^xTo findf(x) when x= 1.5 hours and k = 60mgSolution1.5 hours = 90 minf(90) = 60*0.95^90 = 0.59 mg roundedGiven,
f(x) = k * 0.95^xTo find ;
f(x) when x = 1•5hrs k = 60 mgNow,
1•5 hrs = 90minSo,
f(90)= 60*0.95^90= 0.59 mg The required answer is 0.59mg .You ask 65 of your classmates if they have any siblings. Complete the two-way frequency table to show the results of the survey.
Answer:
155; 2535; 65Step-by-step explanation:
Fill in the missing values as below
The first row
40 - 25 = 15The second row
30 - 25 = 520 + 5 = 25The third row
15 + 20 = 3535 + 30 = 65 or 40 + 25 = 65three persons are entering a five storey building.they can go to first floor or second floor or third floor or fifth floor of the building.what is the probability that they will meet in one floor?
The probability that they will meet in one floor is 1/16.
What is the probability that they will meet in one floor?There are 3 people, and 4 possible floors.
Then the probability of going to a given floor is equal to 1 over the total number of floors:
p = 1/4.
So, let's assume that the first person goes to a given floor, for example, the second.
Then we need to find the probability that the second and third persons also go to that same floor, and it is 1/4 for each.
Then the total probability is the product of the individual probabilities:
P = (1/4)*(1/4) = 1/16.
So the probability that they will meet in one floor is 1/16.
If you want to learn more about probabilities, you can read:
https://brainly.com/question/251701