Answer:
x equals 4.
Step-by-step explanation:
32 divided by 8 equals 4. I'm not sure there's any other evidence lol :)
If shown,
AB
and
CD
are straight lines. Find x in each case.
WILL MARK BRAINLISIT
Answer:
x=60
Step-by-step explanation:
here DOB and AOC are vertically opposite angles and the values of them are equal. so lets take the two angles as y.
x+DOB is 90(because EOA is 90 and the sum of angles in a straight line is 180), DOB is y and can write a equation as x+y=90
and 30+2x+y = 180 ,
2x+y=150, (180-30)
then two equations can be made.
x+y=90
2x+y=150
simplifying these two simultaneous equations
can get x as 60. and 2x is 120.
The value of x is 60°
What are complementary angles?The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.
Here, DOB and AOC have equal values and are at vertically opposed angles. Let's use y to represent the two angles.
Since EOA is 90 and the total of the angles in a straight line is 180, x+DOB equals 90 and can be written as x+y=90.
And 30 + 2x + y = 180 ,
⇒ 2x+y = 180-30
⇒ 2x + y = 150,
After which two equations can be created.
⇒ x+y=90
⇒ 2x+y=150
We have the two simultaneous equations made simpler.
We can get x as 60. and 2x as 120.
Thus, the value of x is 60°
Learn more about the complementary angles here:
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-4x-7+7x-3 simplify
Answer:
3x - 10
Step-by-step explanation:
first set up the like variables next to each other
-4x + 7x - 7 - 3
Then, combine like variables
-4x + 7x = 3x
-7 - 3 = -10
The answer is:
3x - 10
Answer: 3x - 10
Step-by-step explanation:
To simplify you need to combine all like terms, and the only terms here are x terms and number ones, so you would combine those to have
3x - 10
7x - 4x
-7 -3
What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
y = –10
Answer:
(6 x -10) - 2(-10+1) = 3(-10-2) + 6
-60 + 18 = -36 + 6
-42 is not equal to -30
Sorry it can't be answered. If it is -6 instead of + 6, it would be equal
There are n applicants for the director of computing. The applicants are interviewed independently by each member of the three-person search committee and ranked from 1 to n. A candidate will be hired if he or she is ranked first by at least two of the three interviewers. Find the probability that a candidate will be accepted if the members of the committee really have no ability at all to judge the candidates and just rank the candidates randomly. In particular, compare this probability for the case of three candidates and the case of ten candidates.
Answer:
for n = 3
[tex]Z(3) = 0.26[/tex]
for n = 10
[tex]Z(3) = 0.028[/tex]
Step-by-step explanation:
from the question we are that
The number of applicant is n
The number of people on the committee is [tex]N = 3[/tex]
Generally given that the applicant ranking is random the probability of a candidate being accepted is mathematically represented as
[tex]Z(n) = N * \frac{1}{n} * \frac{1}{n} * \frac{n-1}{n} + \frac{1}{n} * \frac{1}{n} * \frac{1}{n}[/tex]
Now for n = 3
[tex]Z(3) = 3 * \frac{1}{3} * \frac{1}{3} * \frac{3-1}{3} + \frac{1}{3} * \frac{1}{3} * \frac{1}{3}[/tex]
[tex]Z(3) = 0.26[/tex]
Now for n = 10
[tex]Z(3) = 3 * \frac{1}{10} * \frac{1}{10} * \frac{10-1}{10} + \frac{1}{10} * \frac{1}{10} * \frac{1}{10}[/tex]
[tex]Z(3) = 0.028[/tex]
81 less than f equals 197
Answer:
[tex]f=278[/tex]
Step-by-step explanation:
[tex]f-81=197[/tex]
Add 81 to both sides:
[tex]f-81+81=197+81[/tex]
[tex]f=278[/tex]
Sophia drives 6.12 miles each time she goes to visit her grandparents. How far will Sophia drive if she visits her grandparents 9 times?
Answer:
55.08
Step-by-step explanation:
6.12 times 9
55.08
I will give brainliest answer
Answer:
4 right; 4 up
Step-by-step explanation:
The difference between the two points is ...
P'(1, 5) -P(-3, 1) = (1-(-3), 5-1) = (4, 4)
The translation is 4 units to the right and 4 units up.
Determine the remaining sides and angles of the triangle ABC.
A. 18.95 degree.
B. 0.56 degree.
C. 17.83 m.
Answer:
Angle C ∠C = 160.49°
side b = 0.522 m
side a = 17.34 m
Step-by-step explanation:
Given that;
In a Δ ABC,
∠A = 18.95°
∠B = 0.56°
∠C = ???
side A = ???
side B = ???
side C = 17.83 m
We are to determine the unknown missing sides and the angle.
We know that, the sum of angles in a triangle = 180°
∴
∠A + ∠B + ∠C = 180°
18.95° + 0.56° + ∠C = 180°
∠C = 180° - 18.95° - 0.56°
∠C = 160.49°
Using sine rule to determine the unknown sides. The sine rule can be expressed as:
[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]
To determine side b, we have:
[tex]\mathtt{ \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }[/tex]
[tex]\mathtt{ \dfrac{sin \ 0.56^0}{b} = \dfrac{sin \ 160.49}{17.83} }[/tex]
[tex]\mathtt{ b (sin \ 160.49) = 17.83 (sin \ 0.56)}[/tex]
[tex]\mathtt{ b = \dfrac{17.83 (sin \ 0.56)}{(sin \ 160.49)}}[/tex]
[tex]\mathtt{ b = \dfrac{17.83 \times 0.0097737}{0.33397}}[/tex]
[tex]\mathtt{ b = \dfrac{0.174265071}{0.33397}}[/tex]
b = 0.522 m
For side a, we have
[tex]\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} }[/tex]
[tex]\mathtt{\dfrac{sin \ 18.95}{a} = \dfrac{sin \ 0.56}{0.522} }[/tex]
[tex]\mathtt{a \times sin \ 0.56 = 0.522 (sin \ 18.95)}[/tex]
[tex]\mathtt{a = \dfrac{0.522 (sin \ 18.95)}{ sin \ 0.56}}[/tex]
[tex]\mathtt{a = \dfrac{0.522\times 0.3247 }{ 0.0097737}}[/tex]
a = 17.34 m
help please very important
Select the equivalent expression.
3-5 = ?
Choose 1 answer:
A (-3)
B
-35
1
35
Answer:
[tex]\boxed{\bold{[C] \ \ \ \ \frac{1}{3^5} } }}[/tex]
Explanation:
Apply Exponent Rule: [tex]\bold{\:a^{-b}=\frac{1}{a^b}}[/tex]
[tex]\bold{3^{-5}: \ \frac{1}{3^5} }[/tex]
The equivalent expression for [tex]3^{-5[/tex] using exponent is [tex]\( \dfrac{1}{3^5} \)[/tex].
Explanation:
When we have a negative exponent, it indicates the reciprocal of the base raised to the positive exponent.
In this case, [tex]3^{-5[/tex] means the reciprocal of [tex]3^5[/tex].
To compute [tex]\( 3^5 \)[/tex] raise 3 to the power of 5, which gives us
[tex]\( 3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243 \)[/tex]
Now, to get the reciprocal of 243,
simply take [tex]\( \dfrac{1}{243} \)[/tex], which is the same as [tex]\( \dfrac{1}{3^5} \)[/tex].
So, [tex]\( 3^{-5} = \dfrac{1}{3^5} = \dfrac{1}{243} \)[/tex].
Learn more about Exponents and power here:
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Please answer fast will make you brainlest
Answer:
the correct answer would be left 7
Step-by-step explanation:
because in this case |x-7| -7= left 7 and +7 is right 7 also it is within the function
I hope this helps
mark brainliest if you can
Answer: B.
7 units to the left.
An identification code is to consist of 4 letters followed by 2 digits. Determine the following
a) How many different codes are possible if repetition of letters is permitted, repetition of numbers is not permitted, and the first three entries must all be the same letter
b) How many different codes are possible if the first letter must be an A, B, C, or D and repetition is not permitted?
explanation
Counting Possibilities with Repetition or No Repetition:
Counting the number of possibilities in a given situation can vary quite a bit depending on whether repetition is allowed or not. For example, if trying to find how many 6 letter passwords can be made with 10 letter choices, if the letters are allowed to be repeated then there are 10 choices for each letter in the password - resulting in... 10 x 10 x 10 x 10 x 10 x 10 = 10^6 =1,000,000 possible passwords.
However, if repetition of letters is not allowed, then there are 10 choices for the first letter, but only 9 for the second, 8 for the third, and so on. This results in only 10 x 9 x 8 x 7 x 6 x 5 = 151,200
Answer :
There are 26 letters to choose from and 10 digits (0 through 9).
(a) If the first three entries must all be the same letter, then there are 26 choices for the first entry, but only one choice for the second and third entries. The fourth entry can then be any letter, so there are 26 possible choices for the fourth entry. The fifth and sixth entry must be digits, but repetition of numbers are not permitted. So the fifth entry has 10 choices and the sixth entry only has 9 choices. This is a total of 26 x 1 x 1 x 26 x 10 x 9= 60,840
b) If the first letter must be one of A, B, C, or D, then there are 4 choices for the first entry. No repetition is allowed, so the second entry must be chosen out of the 25 remaining letters, and similarly the third and fourth entry will have 24 and 23 choices each. The fifth and sixth entry must be digits, but repetition of numbers are not permitted. So the fifth entry has 10 choices and the sixth entry only has 9 choices. 4 x 25 x 24 x 23 x 10 x 9=4,968,000 different codes
hope this helped alittle ..
1.4-1.2
Carry division to
nearest hundredths
place.
Answer:
To the nearest Hundredth = 1.17
Step-by-step explanation:
CARRYING THE DIVISION OF 1.4 / 1.2 to the nearest hundredths place
= 1.4 / 1.2
= 1.16666667
≈ 1.17
rounding off to the nearest hundredth means rounding off your answer to only two decimal places
1-x-5x=8x-5
Show your work
Answer:
x = -13x + 6
Step-by-step explanation:
1-x-5x=8x-5
1-x = 13x-5
-x = 13x-6
x = -13x + 6
Hope this helps!
Plz name brainliest if possible!
RS = 5x, ST = 3x, and RT = 48
Answer:
[tex]x= 6[/tex]
Step-by-step explanation:
RT = RS + ST
[tex]48=5x+3x[/tex]
[tex]48=8x[/tex]
Swap sides:
[tex]8x=48[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8} =\frac{48}{8}[/tex]
[tex]x=6[/tex]
PLEASE ANSWER 100 PTS AND WILL MARK BRAINLIEST.
Answer:
1
Step-by-step explanation:
We have the graph of f(x).
In order to find f(0), we simply need to find the y-coordinate of the coordinate when x is 0.
From the graph, we can see that there is a point at (0,1).
In other words, when x is 0, f(x) is 1.
Therefore:
[tex]f(0)=1[/tex]
Show that y2+ x-3 =0 is an implicit solution to dy/dx =-1/ (2y) on the interval (- [infinity] , 3)
Answer:
Implicit function
[tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]
Step-by-step explanation:
Explanation:-
Given y² + x - 3=0 ...(i)
Differentiating equation (i) with respective to 'x', we get
[tex]2 y \frac{d y}{d x} +1 = 0[/tex]
⇒ [tex]2 y \frac{d y}{d x} = -1[/tex]
⇒ [tex]\frac{d y}{d x} = \frac{-1}{2y}[/tex]
[tex]\frac{d y}{d x} = \frac{-1}{2 (3)}[/tex]
[tex]\frac{d y}{d x} = \frac{-1}{6}[/tex]
Which models show 40%?
Check all that apply.
A,B or C??
Answer:
A and B
A is 4/10 which is equivalent to 40/100 (40% in fraction form)
and B is 40/100
(the shortcut is to count the blocks going across and then going down and multiply in this case it gives you 100 for the whole square and 40 shaded)
C is 2/10 or 20%
Help help help hel help
Answer:
[tex]\huge\boxed{ \text{(A)}\ \ \frac{1}{10}, -\frac{1}{10}}[/tex]
Step-by-step explanation:
We can simplify this expression down so that we have x isolated on one side of the equation.
So we can take the square root of both sides.
[tex]x = \sqrt{\frac{1}{100}}[/tex]
The square root of [tex]\frac{1}{100}[/tex] will be the number that, when multiplied by itself, will get us [tex]\frac{1}{100}[/tex].
In order to find the square root of a fraction, the numerator squared must correct and the denominator squared must be correct.
[tex]1^2 = 1[/tex]
[tex]10^2 = 100[/tex]
This means that we have the values 1 and 10. Therefore one of our fractions is [tex]\frac{1}{10}[/tex].
HOWEVER: A negative number squared is a positive. So this also works:
[tex]-1^2 = 1\\\\-10^2=10[/tex]
So we have [tex]-\frac{1}{10}[/tex] along with [tex]\frac{1}{10}[/tex].
Hope this helped!
Show the conjecture is false by finding a counterexample.
m If m does not equal -1, then < 1.
Dividing any positive number m over (m+1) leads to a positive result that is smaller than one. This is because the denominator is larger than the numerator.
However, if m is negative, then it's a different story. Consider m = -2
If m = -2, then m+1 = -2+1 = -1
Meaning that [tex]\frac{m}{m+1} = \frac{-2}{-1} = 2[/tex] but this result is not less than 1
So m = -2 is one counterexample of infinitely many to show that [tex]\frac{m}{m+1} < 1, \text{ with } m \ne -1[/tex] is not always true. If you restricted m to be positive, then the inequality would be true.
Again, the size of a television is based on the length of its diagonal in inches.
What would be the size of the TV shown below
26”by 45”
Answer:
52 in screen
Step-by-step explanation:
26²+45²=c²
676+2025=c²
√2701=c²
51.97=c
who ever is good with angles please answer
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 165°}}}}}[/tex]
Step-by-step explanation:
Sum of complete turn adds up to 360°
Given angles : 63° , 42 ° , 90 ° , x°
To find : x
Create an equation
[tex] \sf{x + 63° + 42° + 90° = 360°}[/tex]
[tex] \dashrightarrow{ \sf{x + 195° = 360°}}[/tex]
[tex] \dashrightarrow{ \sf{x = 360° - 195°}}[/tex]
[tex] \dashrightarrow{ \sf{x = 165°}}[/tex]
Hope I helped!
Best regards! :D
how do i know the unknown quantity
Answer:
15 cakes
Step-by-step explanation:
Cross multiply: 125(3)=25x
Simplify: 375=25x
Divide 25 on both sides: 15
Add units!
Hope it helps! Comment if you have any questions!
Find the perimeter of the figure below , composed of a rectangle and two semicircles .round to the nearest tenths place
Answer:
74
Step-by-step explanation:
22/7 × 14 × ½ × 2 = 44
15 + 15 = 30
30 + 44 = 74
a.
2 • (3(5 + 2) - 1)
Step-by-step explanation:
2(3(7)-1)
= 2(21-1)
=2(20)
=40
2 4/7 divided by 1 3/6=
Answer:
1.714
u can round it lol i just put it in a calculator
Answer: 1 and 5/7
Step-by-step explanation: To divide mixed numbers,
first write the mixed numbers as improper fractions.
So here, we can write 2 and 4/7 as the improper fraction 18/7
and we can write 1 and 3/6 as the improper fraction 9/6.
If you need a review of how to write a mixed number
as i improper fraction, let me know below and I will help.
So here, we have 18/7 ÷ 9/6.
Remember that dividing by a fraction is the same
as multiplying by the reciprocal of that fraction.
So here, 18/7 ÷ 9/6 is the same as 18/7 × 6/9.
So now we're simply multiplying fractions.
Remember that when we're multiplying fractions,
we want to cross-cancel first whenever possible.
So here, notice that we can cross-cancel 9 and 18 to 2 and 1.
However, we can't cross-cancel 7 and 6.
So we simply multiply across the numerators
and then across the denominators and we have 12/7.
We can write 12/7 as the mixed number 1 and 5/7.
What is greater? X or -X and Why?
Step-by-step explanation:
A negative number(or variable, in this case) is less than 0. For example, which is greater, 3 or -3? 3, right?
In variables, x or a or m or whatever, can also be represented as 1x or 1a or 1m, and so on. So in the question, it's asking which is greater, x or -x? Think of the variables as 1x or -1x.
So 1x is greater.
Hope it helps!
Answer:
X is
Step-by-step explanation:
A negative number is always leeser than a whole number
Hope this helps
Plz mark brainlest
The circumference of a circle varies directly with its radius.
If the circumference of a circle with a radius of 1.5 in. is 9.42 in.,
what is the circumference of a circle with a radius of 9 in.?
Use π=3.14. Round your answer to the nearest inch.
Answer:
1) Circumference = 2πr
C = 2 x π x 9
C = 18π = 56.548... = 57 inches (to the nearest inch)
2) 6h = $52.50
1h = $52.50/6 = 8.75
11h = 8.75 x 11 = $96.25 = $96 (to the nearest cent)
(57)
T is the midpoint of RS, RT = x-1, and RS = 3x - 17 What is the length of RT? Enter your answer in the box
Answer: 14
Step-by-step explanation:
RT= x- 1 = 15 - 1 = 14
Mr. Andrews is trying to lose weight. He starts the year weighing 254 pounds. If he plans to burn enough calories to lose 4 pounds per week, then how many weeks will pass before Mr. Andrews weigh 228 pounds ?
Answer: bruv what’s the a answer
Step-by-step explanati