I assume you're given the binary number, 11111₂. Expanding the digits in base 10, this is the same as
1•2⁴ + 1•2³ + 1•2² + 1•2¹ + 1•2⁰
= 16 + 8 + 4 + 2 + 1
= 31
6 1/3 - 4 1/9
I need help again
Answer:
2.222
Step-by-step explanation:
Hope this helps :)
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And have an amazing day <3
Answer:
2 2/9
Step-by-step explanation:
so if we want to be able to substract, we're gonna multiply the 1/3 times three so the result come out to 3/9 and now we are able to substract, so 6 3/9 - 4 1/9 is equal to 2 2/9
A vertical parabola goes through (-2,-18), (3, -13), and (5, -39). Use matrices to solve for D, E, and F,
given the general form x2 + y2 + Dx + Ey + F = 0 (since it is a vertical parabola there is not a
yż term).
The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].
We need the knowledge of three distinct points to determine all coefficients of the vertical parabola based on the following general formula:
[tex]x^{2} + y^{2} + D\cdot x + E\cdot y + F = 0[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (-2, -18)[/tex], [tex](x_{2}, y_{2}) = (3,-13)[/tex] and [tex](x_{3}, y_{3}) = (5,-39)[/tex], then we have the following system of linear equations:
[tex]-2\cdot D -18\cdot E + F = -328[/tex] (2)
[tex]3\cdot D -13\cdot y + F = -178[/tex] (3)
[tex]5\cdot D -39\cdot E + F = -1546[/tex] (4)
The solution of the system of equations is: [tex]D = -21[/tex], [tex]E = 51[/tex], [tex]F = 548[/tex].
The general formula for the parabola is [tex]x^{2}+y^{2}-21\cdot x +51\cdot y +548 = 0[/tex].
We kindly invite to check this question on parabolae: https://brainly.com/question/4074088
What is the inverse of f(x) = 1/3x + 2 ?
A. h(x) = 1/3x + 2
B. h(x) = 1/3x - 2
C. h(x) = 3x - 2
D. h(x) = 3x - 6
Pls provide an explanation. I need help, and I will mark the person who helps me understand this Brainliest.
Answer:
D
Step-by-step explanation:
We are given the function:
[tex]\displaystyle f(x) = \frac{1}{3} x + 2[/tex]
And we want to find its inverse h.
To find the inverse of a function, we can switch the y and x variables and solve for the new y. This will be our inverse.
We begin with:
[tex]\displaystyle f(x) = y = \frac{1}{3} x+ 2[/tex]
Switching the variables yield:
[tex]\displaystyle x = \frac{1}{3}y + 2[/tex]
And solving for y yields that:
[tex]\displaystyle y = h(x) = 3x - 6[/tex]
In conclusion, the inverse function to f is 3x - 6. Our answer is D.
To understand why we switch the variables, recall that by the definition of inverse functions, if f(a) = b, then f⁻¹(b) = a. So, by switching the variables, we are essentially solving for f⁻¹(x).
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action.
Select all that apply.
O A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
O C. Action: Divide both sides by 3.
D. Property: Addition property of equality
O E. Property: Multiplication property of equality
F. Property: Division property of equality
Answer:
C. Action: Divide both sides by 3.
F. Property: Division property of equality
Step-by-step explanation:
you are trying to get x by itself so if you divide by 3 you are taking the 3 from x, and what you do to one side you do to the other.
Answer:
C. Action: Divide both sides by 3.
F. Property: Division property of equality.
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
First, divide 3 from both sides of the equation:
(3x)/3 = (12)/3
x = 12/3
x = 4
C. Action: Divide both sides by 3.
F. Property: Division property of equality.
~
FI h(x) = 3x + 8 , h(a) = 29 then what is the value of a?
Answer:
the value of a = 7..............
Answer:
[tex]h(x) = 3x + 8 \\ h(a) =3 a + 8 [/tex]
But, it is given that
[tex]h(a) = 29[/tex]
Therefore,
[tex]3a + 8 =29 \\ 3a = 29 - 8 \\ 3a = 21 \\ a = \frac{21}{3} \\ \boxed{ a = 7}[/tex]
Hence, the value of a is 7
a = 7 is the right answer.Question 3 and 4 need help
[tex]\large\underline{\sf{Solution-}}[/tex]
#1
Solving by submitting method:
[tex]\sf \leadsto 5x - 4y = 9 \: \: - - - (i)[/tex]
[tex]\sf \leadsto x - 2y = -3 \: \: - - - (ii)[/tex]
By first equation,
[tex]\sf \leadsto 5x - 4y = 9[/tex]
[tex]\sf \leadsto 5x = 9 + 4y[/tex]
[tex]\sf\leadsto x = \frac{9+4y}{5}\\[/tex]
Now, we can find the original value of y from Eqⁿ (ii).
[tex]\sf \leadsto x - 2y = -3[/tex]
[tex]\sf \leadsto \bigg(\frac{9+4y}{5}\bigg) - 2y = -3\\[/tex]
[tex]\sf \leadsto \frac{9+4y-10y}{5} = -3\\[/tex]
[tex]\sf \leadsto \frac{9-6y}{5}= -3\\[/tex]
[tex]\sf \leadsto 9-6y = -3(5)[/tex]
[tex]\sf \leadsto 9 -6y = - 15[/tex]
[tex]\sf \leadsto -6y = - 15 - 9[/tex]
[tex]\sf \leadsto -6y = -6[/tex]
[tex]\sf \leadsto y = \frac{\cancel-6}{\cancel-6}\\ [/tex]
[tex]\sf \leadsto y = \dfrac{ 6}{ 6} \\[/tex]
[tex]\sf \leadsto y = 1[/tex]
Now, we can find the original value of x , from Eqⁿ (I)
[tex]\sf \leadsto 5x-4y = 9[/tex]
[tex]\sf \leadsto 5x - 4(1) = 9[/tex]
[tex]\sf \leadsto 5x - 1 = 9[/tex]
[tex]\sf \leadsto 5x = 9+1[/tex]
[tex]\sf \leadsto 5x = 10[/tex]
[tex]\sf \leadsto x = \frac{10}{5}\\[/tex]
[tex]\sf \leadsto x = 5[/tex]
Therefore, the values of x and y are 5 and 1 respectively.
#2
Solving by Eliminating method:
[tex]\sf \leadsto 4x + 6y = 12\:\:- - - (i)[/tex]
[tex]\sf \leadsto 6x+9y = 12 \:\: - - -(ii)[/tex]
Step 1: Multiply Eqⁿ (I) by 3 and Eqⁿ (ii) by 2 to make the coefficients of y equal. Then we get the equations.
[tex]\sf \leadsto 12x + 18y = 36\:\: - - - (iii) [/tex]
[tex]\sf \leadsto 12x + 18y = 24\:\:- - - (iv)[/tex]
Step 2: Subtract Eqⁿ (iii) from Eqⁿ (iv) , we get
[tex]\sf \leadsto (12x + 18y)-(12x + 18y) = 36-24[/tex]
[tex]\sf \leadsto 0 =12, Which is a false statement. [/tex]
Therefore, the pair of equations has no solution.
Hope this helps!!
HELP ME ASAPPPP I HAVE 12 MIN LEFT
Answer:
The sum is about 22
Step-by-step explanation:
When you round the values at the ones place, you get:
7 + 6 + 9 = 22
Answer:22
Step-by-step explanation:
Find the sum of the following fractions. Your answer needs to be a mixed number in simplest form: 4/5 + 2/9
Answer:
1 1/45
Step-by-step explanation:
I’m in need of help I have 7 questions
Goodluck
Step-by-step explanation:
Is this a question? Please hurry!
Answer:
yes bti dsnin s
Step-by-step explanation:
8. What angle do the hour and minute hands of a clock form when it is exactly 9.00p.m.?
Answer:
90 degrees
Step-by-step explanation:
please say thanks
What is the product of -2 1/2 and 3 1/3 ?
Step-by-step explanation:
Hope this helps you ☺️☺️
what is 13.6 - x = -64.2
Answer:
13.6 - x = -64.2
Step-by-step explanation:
x = 77.8
13.6 - 77.8 = -64.2 True!
Answer:
x=77.8
Step-by-step explanation:
13.6-x=-64.2
-13.6. -13.6
---------------------
since there is already -x it wouldn't be -77.8 bc that would cancel it out
4+ (-7) is. Blank units from 4, in the Direction what will the answer be ? I also
Have : -3 + 5
And: -2 + -6
I just need to find the sum of each Answer and distance
4+(−7) is 7 units from 4, in the negative direction (that is, to the left of 4)
4 + (-7) is 7 (seven) units from 4, in the negative Direction.
The result of 4 + (-7) is -3. It represents a movement of 7 units in the negative direction from the starting point of 4.
In this context, "units" refer to a number-line, where positive values are to the right and negative values are to the left. Starting at 4 and moving 7 units to the left brings you to -3.
This calculation and explanation describes the concept of adding a negative value, which is equivalent to subtracting a positive value, resulting in a displacement in the specified direction on the number line.
Learn more about Direction here
https://brainly.com/question/32928988
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The given question is incomplete, the complete question is
4 + (-7) is _____ units from 4, in the _____ Direction. What will the answer be?
I’m so lost i have no idea how to get the function please see pic
You should first recognize the shape of the curve - it's an exponential function, so its equation takes the form [tex]y(x)=a\cdot b^{cx}[/tex] for some constants a, b, and c.
The curve lies above the x-axis, so a must be positive.
The curve is defined everywhere (there are no discontinuities), so b must be positive.
As you move left to right, the function is increasing, so c must also be positive. But to make things simpler, let's assume c = 1.
When x = 0, the curve passes through the point (0, 1). In our equation, we have
[tex]y(0) = a\cdot b^0 = a[/tex]
so it follows that a = 1.
When x = 1, the curve approximately passes through the point (1, 4); so
[tex]y(1) = b^1 = 4[/tex]
so b = 4.
Then the equation of the curve might be [tex]\boxed{y = 4^x}[/tex].
The vertices of a triangle are P(-8, 6), Q(1, -3), and R(-6, -3). Name the image of P after a reflection over y = 2, and
then shifted right 3 units.
Transformation involves changing the location of a shape
The image of P after the transformation is: (-5,-2)
The vertices are given as:
[tex]\mathbf{P = (-8,6)}[/tex]
[tex]\mathbf{Q = (1,-3)}[/tex]
[tex]\mathbf{R = (-6,-3)}[/tex]
The rule of reflection across line y = 2 is:
[tex]\mathbf{(x,y) \to (x,4-y)}[/tex]
So, the image of P, after the reflection is:
[tex]\mathbf{P' = (-8,4-6)}[/tex]
[tex]\mathbf{P' = (-8,-2)}[/tex]
The rule of translation 3 units right is:
[tex]\mathbf{(x,y) \to (x + 3,y)}[/tex]
So, we have:
[tex]\mathbf{P" = (-8 + 3,-2)}[/tex]
[tex]\mathbf{P" = (-5,-2)}[/tex]
Hence, the image of P after the transformation is: (-5,-2)
Read more about transformations at:
https://brainly.com/question/13801312
Help me please:) ✨✨✨✨✨✨✨✨✨✨
Hello there I think the measure of EBC is 58 degrees.
That's because angles EBC and DBE are complementary. it means that they add up to 90 degrees.
We are given that
DBE=32 degrees.
And we know that angles EBC and DBE add up to 90 degrees.
So we take 90 and subtract the measure of angle DBE (32 degrees)
90-32=58
Hope this helps!
[tex]GraceRosalia[/tex]graph the line through (-3,1) with slope 3/2
Answer:
Pencil on y: 5.5 then 3 down and 1 to the right. (You can trace a line with 2 points, but can continue the pattern: 3 down, 1 to the right)
Step-by-step explanation:
y- intercept = 1 - (3/2)(-3)
y-intercept = 1 + 9/2 = 11/2 = 5.5
y = 3/2x + 11/2
Solve the attached question.
No spam!
Step by step explanation needed!
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The value of given expression is 2
Solution is in attachment ~
Plz help me thank you
Answer:
159.29-159.29(5/100)=151. 3255
The lines 5x+2y=14 and y=-5x+9 are?
A: Parallel
B: Perpendicular
C: Neither
18x + 4
17x + 11
Select the equation you would use to solve for x.
18x + 17x + 11 + 4 = 180
0 18x + 17x = 11 + 4
18x + 4 = 17x + 11
the answer would be c because the angles are equal to each other
If f(x)=4x2−2x+8, then calculate f(2 )
What is the answer?
Answer:
f(x)=4x2−2x+8,
or, f(2)=4*2*2-2*2+8
or,f(2)=16-4+8
or,f(2)=20....
f(2)=20
Guys be quick please and thank uuuu 2x^2+ 8x + 3
Answer:
2x^2 + 8x + 3
Step-by-step explanation:
The expression is not factorable with rational numbers.
A bird flies at an altitude of 520 feet. A diver dives to a depth of 50 feet below sea level. What is the difference in their elevations? Show how you arrived at your answer.
Answer:
The answer is 570 feet.
Step-by-step explanation:
First, the bird is 520 feet HIGH.
The diver is 50 feet BELOW sea level, which is also -50.
To find the difference, you would SUBTRACT right?
So 520 - -50 OR 520 + 50 (This is because two negatives make a positive, and you are also subtracting negatives, which in turn means adding).
520 + 50 = 570 - HOPE THIS HELPED!
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution.
(a) Identify the graph of the uniform density function.
(b) What is the probability of generating a number between 0.01 and 0.34?
(c) What is the probability of generating a number greater than 0.95?
Using the uniform distribution, we have that:
a) The graph is sketched at the end of this answer.
b) 0.33 = 33% probability of generating a number between 0.01 and 0.34.
c) 0.05 = 5% probability of generating a number greater than 0.95.
An uniform distribution has two bounds, a and b.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, uniformly distributed between 0 and 1, thus [tex]a = 0, b = 1[/tex].
Item b:
[tex]P(0.01 \leq X \leq 0.34) = \frac{0.34 - 0.01}{1 - 0} = 0.33[/tex]
0.33 = 33% probability of generating a number between 0.01 and 0.34.
Item c:
[tex]P(X > 0.95) = \frac{1 - 0.95}{1 - 0} = 0.05[/tex]
0.05 = 5% probability of generating a number greater than 0.95.
A similar problem is given at https://brainly.com/question/24746230
Please help with this question asap
QUESTION 10
2 points
Save Answer
When looking at her grades, Susan found that she scored a combined 258 points on her first three tests. She also noticed that on tests two and three, she
scored 10 points fewer than the test before.
Write an equation that fits this problem.
Answer:
(258÷3) - 10 = 76.
Step-by-step explanation:
You need to use this equation to find this answer even though I already wrote the answer there for you.
Find the area of right triangle def,round to nearest tenth if necessary D(-6,-1),E(1,-3),F(3,4)
HELP
Answer:
Step-by-step explanation:
Two of the legs will be at right angles to each other and have negative reciprocal slopes. Area will be half of the product of these two legs.
slope of DE (-3 - (-1)) / (1 - (-6)) = -2/7
slope of EF (4 - (-3)) / (3 - 1) = 7/2
so these two are perpendicular
check the DF line to be certain
slope of DF (4 - (-1)) / (3 - (-6)) = 5/9
Length of DE = √(-2² + 7²) = √53
Length of EF = √(7² + 2²) = √53
Area of triangle
A = ½√53√53 = 26.5 units²
the ratio of hours to miles on a bicycle is 2 hours to 30 miles at this rate, how many miles can the bicycle travel in 4 hours? *Think about equivalent ratios.
Answer:60 miles.
Step-by-step explanation:
m=number of miles the bicycle can travel in 4 hours.
Set up a ratio of hours over miles.
2/30=4/m. Multiply both sides by m. (2m)/30=4. Multiply both sides by 30. 2m=120. M=60. You could also just realize that you are multiplying the numerator by 2 of the fraction 2/30 to get 4/m, so you would also have to multiply the denominator by 2 so that both of the fractions are equivalent. So then you’d just multiply the bottom by 2 to get the miles the bike travels in 4 hours.