111₂ = 1•2² + 1•2¹ + 1•2⁰
111₂ = 4 + 2 + 1
111₂ = 7
One number is one more than another. Their sum is nine. Find both numbers.
Answer:
4 and 5
Step-by-step explanation:
Let's make an equation to solve. Let's call "one number" x. Another number is 1 more than x, so now we have x + 1. x plus x + 1 is equal to 9... and this gives us our equation:
x + (x + 1) = 9
We can now simplify by adding like terms together:
2x + 1 = 9
Now, let's take away 1 from both sides:
2x = 8
We can finally divide both sides by 2 to isolate x:
x = 4
One of our numbers is 4. Our other number is one more than 4, and 4 + 1 = 5. So our numbers are 4 and 5.
Hopefully this was helpful! If you need more help, let me know.
30 pts answer correct plzzzz
Answer:
b
Step-by-step explanation:
b is correct
Answer:
Option 1
Step-by-step explanation:
∠EGB ≅ ∠EHD {Corresponding angles
∵ ∠AGF ≅∠EHD {transitive equality property}
If you help ill mark as brilliant.
w(x)=3x-1; FInd w(-2)
Answer:
It is 23
Step-by-step
23 becaauae if you use x and -2 its bets 23
subtract X from 3X minus one
What is the factored form of 3x+24y?
3(x+8y)
3xy(x+8y)
3(3x+24y)
3xy(3x+24y)
Answer:
[tex]\boxed{\boxed{\sf 3(x+8y)}}[/tex]
Step-by-step explanation:
[tex]\sf 3x+24y[/tex]
Factor out the GCF( Write GFC first, then, in parentheses divide each term by the GCF).
GCF: → 3
[tex]\leadsto\sf \textsf{\:}3\left(\cfrac{3x}{3}\:+\cfrac{24y}{3}\right)[/tex]
Simplify each term in parentheses:
[tex]\leadsto\sf 3(x+8y)[/tex]
_______________________________________
Answer:
A. 3(x+8y)
Step-by-step explanation:
Just did it
An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211 describes the amount of carbon-14 present after t years. Use the mode
to determine how many grams of carbon-14 will be present in 9088 years
The amount of carbon-14 present in 9088 years will be approximately
grams.
The mass of Carbon-14 left according to the decay model after 9088 years will be; 5.3229 grams
The decay model is given as;
A = 16 e^ (-0.0001211t)Therefore, after 9088 years; in which case; t = 9088.
The amount of Carbon-14 that will be present is;
A = 16e^ (-0.0001211 × 9088)A = 16e^(-1.1005)A = 5.3229gramsRead more:
https://brainly.com/question/24305651
simplify: -5/3(-6-9x)
Answer:
jsbnsjzskjusjjw.3334883!"!$+%-$+$9
What is the common ratio?
512, 256, 128, 64
Answer:
The constant factor between consecutive terms of a geometric sequence is called the common ratio. Example: To find the common ratio find the ratio between a term and the term preceding it. r=42=2. 2 is the common ratio.
is y-4x=9 linear or not linear. if yes, write in standard form
Answer:
Yes it is linear. Standard Form: 4x - y = -9
Step-by-step explanation:
Carly is playing the Integer Game. She draws four cards: -3, -8, 9, 4. What is the value of her hand?
Answer:
-3+-8+9+4= 2
Hope this helps.
Answer:
The value is positive 2
Step-by-step explanation:
(-3)+(-8)=(-11)
9+4=13
(-11)+ 13=2
Write a word translation for 7 >x.
Answer:
mashup math on "yt"
Step-by-step explanation:
go there you'll get you answer and more he explained it better then i could have
I need help with surface area
Answer:
904.8 m²
Step-by-step explanation:
needed formulas:
surface of a circle: πr²
circumference of a circle: 2πr
The top and bottom are circles with radius 9, and surface π9² = 81π m²
The side is a rectangle of 2·π·9·7 long, so that is 126π m²
Brings the total to 81π + 81π + 126π = 288π ≈ 904.8 m²
How to calculate the area of an ellipse by using integration?
An ellipse has the general equation
(x/a)² + (y/b)² = 1
(actually, this is an ellipse whose semimajor and -minor axes are parallel to the x- and y-axes, but one can rotate any ellipse so that it has the same configuration, and the area remains constant)
Convert to a kind of rescaled polar coordinates, using
x = a r cos(t)
y = b r sin(t)
Then the interior of such an ellipse is the set
E = {(r, t) : 0 ≤ r ≤ 1 and 0 ≤ t ≤ 2π}
The area of E is then given by the integral
[tex]\displaystyle \iint_E dA[/tex]
Compute the Jacobian determinant for this change of coordinates. The Jacobian is
[tex]J = \begin{bmatrix}x_r & x_t \\ y_r & y_t\end{bmatrix} = \begin{bmatrix}a \cos(t) & -a r \sin(t) \\ b \sin(t) & b r \cos(t)\end{bmatrix}[/tex]
Then we have Jacobian determinant
|det(J)| = |a b r cos²(t) + a b r sin²(t)| = |a b r| = |a b| r
since r ≥ 0.
The area of E is then
[tex]\displaystyle \iint_E dA = \iint_E |ab| r \, dr \, dt[/tex]
[tex]\displaystyle \iint_E dA = \int_0^{2\pi} \int_0^1 |ab| r \, dr \, dt[/tex]
[tex]\displaystyle \iint_E dA = 2\pi |ab| \int_0^1 r \, dr[/tex]
[tex]\displaystyle \iint_E dA = \boxed{\pi |ab|}[/tex]
A(0, 1), B(2,7)
find the slope of the lime that passes through each pair of points. show work and solve.
Answer:
The slope is 3
Step-by-step explanation:
[tex]m = \frac{7 - 1}{2 - 0} \\ m = \frac{6}{2} \\ m = 3[/tex]
Simplify.
(x2 - y2 - 3xy) + (7xy + 3x2)
Answer:
(x² - y² - 3xy) + (7xy + 3x²) = 4x² - y² + 4xy
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(x² - y² - 3xy) + (7xy + 3x²)
Step 2: Simplify
[Order of Operations] Combine like terms (x²): (x² - y² - 3xy) + (7xy + 3x²) = 4x² - y² - 3xy + 7xy[Order of Operations] Combine like terms (xy): (x² - y² - 3xy) + (7xy + 3x²) = 4x² - y² + 4xyAnswer:
4x^2-y^2+4xy
Step-by-step explanation:
Just combine like terms and do not forget that your adding the set of parentheses together.
x^2+3x^2
-y^2
-3xy+7xy
4. Which information can you read from an equation that is written in slope-intercept form?
slope
x-intercept
origin
distance between the c-intercept and the y-intercept
please help me out
Step-by-step explanation:
what do we need to do ? find the 0 solutions for x ?
if that is the case, let's just do all the multiplication first :
(3/2)² × (2/3)⁴x² = x
9/4 × 16/81 x² = x
4/9 x² = x
4/9 x² - x = 0
4x² - 9x = 0
x × (4x - 9) = 0
so, one solution is obviously x = 0.
the second solution is
4x - 9 = 0
4x = 9
x = 9/4
Y = 2X
- 6X + 3y = 6
Simplify: 3√50+√24-2√72
Answer: 72
Step-by-step explanation:
i took the k12 test
When 1,500 flowers are divided equally among 40 baskets, there are 20 flowers
in each basket
in half of the baskets
left over
Answer:
in half of the baskets
Step-by-step explanation:
half of 40 baskets is 20 baskets
find the zeros of y=x^3-x^2-9x+9
with explanation
Answer:
So, we have the equation:
[tex]y=x^3-x^2-9x+9[/tex]
Usually, we have to do trial-by-error methods like using the Rational Root Theorem to factor cubic polynomials. However, while this may seem like a complicated cubic equation to factor, it has a simple trick to make it much easier!
We can actually factor this polynomial through Factoring by Grouping. With this method, we can factor a cubic polynomial. We split the equation into two parts, like this:
[tex]y=x^3-x^2-9x+9[/tex]
[tex]y=(x^3-x^2)+(-9x+9)[/tex]
Which can be simplified to:
[tex]y=(x^2)(x-1)+(-9)(x-1)[/tex]
We took out a factor of x^2 for the first term and a negative 9 for the second term. As we can see, we now have two terms that are the same:
(x - 1)
We can factor out the (x - 1) like this:
[tex]y=(x^2)(x-1)+(-9)(x-1)[/tex]
[tex]y=(x-1)(x^2-9)[/tex]
Now, this is not the most simplified form. See the x^2-9 term? We can use the Difference of Squares.
In general:
[tex]a^2-b^2=(a-b)(a+b)[/tex]
We have the expression:
[tex](x^2-9)=(x^2-3^2)[/tex]
[tex](x^2-3^2)=(x-3)(x+3)[/tex]
Therefore:
[tex]y=(x-1)(x^2-9)[/tex]
[tex]y=(x-1)(x-3)(x+3)[/tex]
Our fully factored form for y=x^3-x^2-9x+9 is:
[tex]y=(x-1)(x-3)(x+3)[/tex]
Tell what number you would add to each side of the inequality.
Please answer ASAP
Answer: 6
Step-by-step explanation: Gets x by itself.
can someone please help me with this
Answer:
use your protractor if you had one you can find the measurement of the angle ABD .
Does the table represent a proportional or a nonproportional linear relationship?
x 1 2 3 4 5
y 5 7 9 11 13
The table represents a linear relationship.
Answer please?
Factor the GCF:
102−5
A group of people were asked whether they prefer soup or salad for lunch.
The table shows the probabilities of the results
Let A represent having soup and B represent having salad for lunch.
Which statement is true?
A. Having soup and salad for lunch are independent events because P(A]B) = P(A) and P(BA) = P(B)
B. Having soup and salad for lunch are independent events because P(A]B) + P(A) and P(BA) + P(B)
C. Having soup and salad are not independent events because P(A]B) + P(A) and P(BA) + P(B)
D. Having soup and salad for lunch are not independent events because P(A]B) = P(A) and P(BA) = P(B)
Answer:
Having soup and salad for lunch are independent events because P(A/B)=P(A) and P(B/A) = P(B)
Step-by-step explanation:
What is the measure of angles A, B and C in the given triangles?
Answer:
A = 103°; B = 77°; C = 46°
Step-by-step explanation:
A + 45° + 32° = 180°
A + 77° = 180°
A = 180° - 77°
A = 103°
A + B = 180°
103° + B = 180°
B = 180° - 103°
B = 77°
B + C + 57° = 180°
77° + 57° + C = 180°
134° + C = 180°
C = 180° - 134°
C = 46°
I hope I've helped you.
what number is six more than 1/3 of 90? step by step I have a test tomorrow and I don't know any math
Answer:
36
Step-by-step explanation:
First, just multiply 90 by 1/3. 90 is equal to 90/1 as any number divided by 1 is still equal to itself.
[tex]\frac{90}{1}*\frac{1}{3}=\frac{90*1}{1*3}=\frac{90}{3}[/tex]
Now, 90/3 is just 90 ÷ 3.
[tex]90 \div 3 = 30[/tex]
Finally, just add 6 to it.
[tex]30+6=36[/tex]
Answer:
36
Step-by-step explanation:
1/3 of 90 is 30
6 more is 30+6=36
What is the slope of the line through (-1,4) and (1,-2)? A.-3 B.3 C.-1/3 D.1/3
Answer:
Slope = - 3
Step-by-step explanation:
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
( x1, y1 ) = ( - 1, 4 )
Here,
x1 = - 1
y1 = 4
( x2, y2 ) = ( 1, - 2 )
Here,
x2 = 1
y2 = - 2
Slope = ( - 2 - 4 ) / ( 1 - ( - 1 ) )
= - 6 / ( 1 + 1
= - 6 / 2
Slope = - 3
Therefore,
The slope of the line through ( - 1, 4 ) and ( 1, - 2 )
is - 3.
