Answer:
[tex](1 + {1}^{2} \times {2}^{2} ) = 1 + 1 \times 4 \\ = 1 + 4 \\ = 5[/tex]
[tex] \bold \pink{ \underline{hope \: it \: helps}}[/tex]
Which of the following is the decimal counterpart of the binary number 10012? a. 9 b. 10 c. 11 d. 12
Answer:
maybe it's 12 but i don't know...
what is the answer to this question?
posted a picture for better understanding:)
Answer:
-1.5 + 27
25.5
Step-by-step explanation:
-1.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5
Solve the equation :
In(5-x) = In5 - Inx,
giving your answers correct to 3 significant figures.
[tex]\ln(5-x) = \ln 5 - \ln x\\\\\implies \ln(5-x) + \ln x = \ln 5\\\\\implies \ln[(5-x)x] =\ln 5\\\\\implies \ln(5x -x^2) = \ln 5\\\\\implies 5x -x^2 = 5\\\\\implies x^2 -5x +5 =0\\\\\implies x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 5}}{2(1)}\\\\\implies x = \dfrac{5 \pm \sqrt{5}}{2}\\\\\text{Hence} ~x = \dfrac 12\left(5 + \sqrt 5\right)=3.62~~ \text{and}~~ x =\dfrac 12 \left(5-\sqrt 5\right) =1.38[/tex]
Answer:
x1 = 3.618, x2 = 1.382
Step-by-step explanation:
ln(5-x) = ln5 - lnx
ln(5-x) + ln(x) = ln5
ln(5x-x^2) = ln5
5x-x^2=5
0=x^2-5x+5
x = -(-5)±√((-5)²-4(1)(5)) / 2(1)
x = 5±√(25-20) / 2
x = 5±√5 / 2
x1 = 3.618, x2 = 1.382
a
1. Baby Amelia's parents measure her height every
month. She was born 46 cm long and grows on
average 2.5 cm per month. Write a linear equation to
find Baby Amelia's height, y, after x number of
months. (3 pts)
Slope:
y-intercept:
(1 pt)
Equation:
(1 pt)
After how many months will Amelia be 66 cm? Show
your work:
After
months. (1 pt)
Answer: equation: y = 2.5x + 46
slope: 2.5
y intercept: 46
she will be 8 months old by the time she is 66 cm
Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.
y = 2.5x + 46
66 = 2.5x + 46
20 = 2.5x
8 = x
3 divided by 4 1/2 write in simplest form
[tex]3 \div 4 \frac{1}{2} \\ = 3 \div \frac{9}{2} \\ = 3 \times \frac{2}{9} \\ = \frac{2}{3} [/tex]
Answer:
[tex] \frac{2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solve
[tex]\frac{a-1}{a-3} =\frac{a+1}{a-4}[/tex]
Answer:
[tex]a=\frac{7}{3}[/tex]
Step-by-step explanation:
[tex]\frac{a-1}{a-3}=\frac{a+1}{a-4}[/tex]
[tex](a-1)(a-4)=(a-3)(a+1)[/tex]
[tex]a^2-5a+4=a^2-2a-3[/tex]
[tex]-5a+4=-2a-3[/tex]
[tex]-3a+4=-3[/tex]
[tex]-3a=-7[/tex]
[tex]a=\frac{7}{3}[/tex]
A car is traveling at 25 miles per hour during rush hour. How far does the car travel in
2 minute and 45 seconds?
Answer: 1.14583333333 miles
Step-by-step explanation: divide 25/21.81818181818182
The car will travel 1.15 miles in 2 minutes 45 secs
if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs
25 miles = 3600secs
To get the distance traveled in 2 minutes 45 secs, we can write;
x = 165 secs
Divide both expressions
25/x = 3600/165
3600x = 25 * 165
3600x = 4125
x = 1.15 miles
Hence the car will travel 1.15 miles in 2 minutes 45 secs
LEarn more on speed here: https://brainly.com/question/10113134
A television is advertised as having a 65-inch measurement. Brenan measures the width of the television while at the store and finds that it is 57 inches wide.
If the space where Brenan plans to hang the television is 32 inches high, will he have enough vertical space to hang the 65-inch television?
Answer: the answer would be C
Yes, the television is approximately 8 inches shorter than the space.
Step-by-step explanation: My name is Ebenezer Haile
how to solve 1/2(x-6) = 1/2
Answer:
x=7
Step-by-step explanation:
1/2(x-6)=1/2
(1/2)(x)+(1/2)(−6)=1/2
1/2x+−3=1/2
1/2x−3=1/2
1/2x−3+3=1/2+3
1/2x=7/2
2*(1/2x)=2*(7/2)
x=7
tada!
Find the amount that results from a $900 investment invested at 7% interest,
compounded continuously, after 4 years.
A washer and a dryer cost $686 combined.The washer cost $64 less than the dryer.What is the cost of the dryer?
Answer:
Step-by-step explanation:
375
Step-by-step explanation:
the washer cost is 311 the dryer 375
What are all the fractions that are between 1/2 and 1.
Answer:
2/4, 3/5,3/4, 2/3,13/25, 27/50 11/20, 14/25, 29/50,31/50, 63/100,16/25,33/50,17/25,7/10,18/25,37/50,19/25,77/100,39/50,4/541/50, 83/100, 21/25 , 17/20, 43/50 , 87/100,22/25,9/10, 91/100, 23/25, 93/100, 47/50, 19/20 , 24/25 97/100, 49/50,99/100(note that I did not state all the fractions between 1/2 and 1)
Step-by-step explanation:
Firstly one half(1/2) represents 0.50 as a decimal and 1 would be 1.00
This is like saying finding Fractions that give you percentages between 50% and 100%
for example:
you could simplify 52/100 and get 31/50
31/50 as a decimal would be 0.52 and 0.52 falls between(0.50 and 1.00) 1/2 and 1
example 2: 89/100= 0.9 (same as0.90) and [90/100] is same as 9/10 = 0.9
0.90 or 0.9 (zero point nine) is not the same as 0.09(zero point zero nine
If you are using a casio calculator, you can simplify the fraction by putting in your numerator then pressing |a b/c| button then enter the denominator, then the calculator should simplify the fraction, if the fraction remains the same, this means that it cant be further simplified.if your calculator has
| a b/c| then you can also use it.
or use an online calculator or simplify if you wish
To find the decimal of that fraction you can simply divide the numerator by the denominator, Example; 82/100 is same as 0.82 and 41/50 is same as 0.82.
HELp PLeaSE ‼️‼️URGENT
Find the equation of the line of best fit for the points (-4, 10).(-1, 5), (2, -1) (3, (5, --- 7). O
A. y = -2x + 2
B. y = 2x - 2
C. y = 2x - 0.98
D. y = -2x - 0.98
THANKS ^_^ ! ! !
Look at the graph below. What is the x-intercept?
Answer:
-3
Step-by-step explanation:
Whatever number the line passes on the x-intercept is the answer:)
At a local college, 204 of the male students are smokers and 306 are non-smokers. Of the female students, 180 are smokers and 420 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?
Step-by-step explanation:
Male ratio: 204:306 = 2:3 (66%)
Female ratio: 180:420 = 3:7 (42%)
Hope that helps
Answer:
both are non smokers is 0.48.
what equation is equivalent to 7-2x=5
Answer:
x = 1New equation: 7 - 2 = 5Step-by-step explanation:
7 - 2x = 5=> 7 - 5 = 2x=> 2 = 2x=> x = 1Conclusion:
Since:
x = 1Our new equation will be 7 - 2 = 5
Hoped this helped.
Hey there!
7 - 2x = 5
-2x + 7 = 5
SUBTRACT 7 to BOTH SIDES
-2x + 7 - 7 = 5 - 7
CANCEL out: 7 - 7 because that gives you 0
KEEP: 5 - 7 because it helps solve for the x-value
NEW EQUATION: -2x = 5 - 7
SIMPLIFY IT!
-2x = -2
DIVIDE -2 to BOTH SIDES
-2x/-2 = -2/-2
CANCEL out: -2/-2 (on the LEFT SIDE) because that gives you 1
KEEP: -2/-2 (on the RIGHT SIDE) because it helps you solve for the x-value
NEW EQUATION: x = -2/-2
SIMPLIFY IT!
x = 1
Therefore, your answer should be: x = 1
Checking to make sure it is correct!
-2x + 7 = 5
-2(1) + 7 = 5
-2 + 7 = 5
So, this makes this statement TRUE
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Evan is organizing textbooks on his bookshelf. He has an English textbook, a biology textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?
Answer:
there is many ways but he could put them side to side or top and bottom
Step-by-step explanation:
When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4, then what is the remainder when divide 2f(x)-6 by (x+3)?
Answer:
2Step-by-step explanation:
When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4:
f(x) = m*(x + 3) + 4, where m is the quotientThen 2f(x) - 6 is:
2[m(x + 3) + 4] - 6 = 2m(x + 3) + 8 - 6 = 2m(x + 3) + 2As we see the remainder is 2
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:
x 1 2 3 4
p(x) 0.4 0.3 0.2 0.1
The required linear equation representing the distribution is
p(x) = -0.1x + 0.5
From the table given, we can generate the equation for the distribution.
Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)
The linear expression will be in the form p(x) = mx + b
m is the rate of change:b is the interceptGete the rate of change:
m = 0.3-0.4/2-1
m = -0.1/1
m = -0.1
Get the intercept.
0.4 = -0.1(1) + b
0.4 = -0.1 + b
b = 0.4 + 0.1
b = 0.5
Hence the required linear equation representing the distribution is
p(x) = -0.1x + 0.5
Learn more on linear equation here: https://brainly.com/question/18176080
Witch equation can be simplified to find the inverse of y=5x^2+10
Answer:
[tex]\huge\boxed{y=\sqrt{\dfrac{x-10}{2}}\ \text{for}\ x\geq10}[/tex]
Step-by-step explanation:
[tex]y=5x^2+10\\\\\text{exchange x to y and vice versa}\\\\x=5y^2+10\qquad|\text{subtract 10 from both sides}\\\\x-10=5y^2\qquad|\text{divide both sides by 5}\\\\\dfrac{x-10}{5}=y^2\\\\y^2=\dfrac{x-10}{5}\to y=\sqrt{\dfrac{x-10}{2}}[/tex]
Ashley is keeping track of the miles she runs over the summer. Her goal is to run 600 miles over the summer. If she has run 230 miles so far, write an equation and solve for the number of miles she has left to run to reach her goal.
Answer:
600-230=L
Step-by-step explanation:
L means Left or What's left
Please Help Me - Calc.
[tex]\text{Given that,}\\\\2(x^2+y^2)^2 = 25 (x^2-y^2)\\\\\implies 2\dfrac{d}{dx} (x^2 +y^2)^2 = 25 \dfrac{d}{dx} (x^2 -y^2)\\\\\implies 2 \cdot 2(x^2 +y^2) \dfrac{d}{dx}(x^2 +y^2) = 25\left[2x - 2y \dfrac{dy}{dx} \right]\\\\\implies (4x^2 +4y^2)\left(2x + 2y\dfrac{dy}{dx}\right) = 50x - 50y\dfrac{dy}{dx}\\\\\\\implies 8x^3+8x^2y \dfrac{dy}{dx} + 8xy^2 +8y^3\dfrac{dy}{dx} = 50x -50y \dfrac{dy}{dx}\\\\\\\implies 8x^2y \dfrac{dy}{dx} + 8y^3\dfrac{dy}{dx}+50y \dfrac{dy}{dx} = 50x -8x^3 -8xy^2\\\\[/tex]
[tex]\implies (8x^2y +8y^3 + 50y)\dfrac{dy}{dx} =50x -8x^3 -8xy^2\\\\\implies \dfrac{dy}{dx} = \dfrac{50x -8x^3 -8xy^2}{8x^2y+8y^3+50y}\\\\\implies \dfrac{dy}{dx}= \dfrac{25x-4x^3-4xy^2}{4x^2y+4y^3+25y}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{x(25-4x^2-4y^2)}{y(4x^2 +4y^2 +25)}\\\\\\\text{Slope at}~~ (-3,-1)\\\\m=\dfrac{dy}{dx} = \dfrac{-3[25-4(-3)^2-4(-1)^2]}{(-1)[4(-3)^2 + 4(-1)^2+25]} = -\dfrac{45}{65} = -\dfrac 9{13}[/tex]
[tex]\text{Equation with given points,}\\\\y+1 = -\dfrac9{13}(x+3)\\\\\implies y = -\dfrac 9{13} x - \dfrac {27}{13} -1\\\\\implies y= -\dfrac 9{13} x - \dfrac{40}{13}\\\\\text{Hence the equation of this tangent line is now in a form of y= mx+b,}\\\\\text{where}~ m = -\dfrac 9{13}~ \text{and}~ b = -\dfrac{40}3[/tex]
Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0
Step-by-step explanation:
x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0
(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12
Answer:
The center is at (1, 6) and the radius is 1.
Step-by-step explanation:
x^2 + y^2 - 2x - 12y +36 = 0
Convert to standard form:
x^2 - 2x + y^2 - 12y = -36
(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36
(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1
(x - 1)^2 + (y - 6)^2 = 1
The center is at (1, 6) and the radius is 1.
What is the value of
negative 3/4 with negative 4 as a exponent
Answer:
=[tex]\frac{256}{81}[/tex]
(Decimal: 3.160494)
Step-by-step explanation:
[tex](\frac{3}{4} )^-4[/tex]
[tex](\frac{4}{3} )^4[/tex]
[tex]\frac{4^4}{3^4}[/tex]
=[tex]\frac{256}{81}[/tex]
(Decimal: 3.160494)
:)
I hope this helps
2. The table shows the elevation of four lakes.
Elevations of Bodies of Water
Lake
Lake Clipson
Lake Roney
Lake Harney
Lake Campbell
Elevation (ft)
117
66
81
97
Which lake has the highest elevation?
A Lake Clipson
® Lake Roney
© Lake Harney
0 Lake Campbell
IT SUPPOSED THE BE LAKE CLIPSON
the degree of the polynomial p³q²-6p²q⁵+p⁴q⁴
Step-by-step explanation:
[tex]p^{3}q^{2}-6p^{2} q^{5} +p^{4} q^{4}[/tex]
So since the highest index/power is 5 the degree is 5
Hope that helps :)
Of the 50 students in cooking club, 30% are in 7th grade. How many actual students are in 7th grade?
Answer:
15 of them are in 7th grade
Step-by-step explanation:
Write the following as a mathematical sentence. Use the letter n as your variable.
Seven less than a number is two.
Answer:
n-7=2
Step-by-step explanation:
We can start with one side, which is: seven less than a number
Since the number is n, seven less than it is n-7
The other side 2, as we can see after the word is
The equation, therefore, is
n-7=2
Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. How many yellow cars does Jill have?
Answer:
7 yellow cars
Step-by-step explanation:
Tim has 30 cars, so Jill has 30 as well. She has 8+15=23 red and blue cars. This means that there are 7 yellow cars.
Fred bought a shirt that
was on sale. The original
price was $15.75, but it was
20% off. How much did
Fred save?
Answer:
Fred save about 3.15$ because is 20% off
