Answer:B. 512
Step-by-step explanation
8 x8= 64 x8= 512
A(5, 8) and B(-1,-4)
Find the coordinates of the midpoint
Answer:
[tex]m = (2,6)[/tex]
Step-by-step explanation:
Given
A(5, 8) and B(-1,-4)
Required
Determine the midpoint
Represent the midpoint with m
m is calculated as thus:
[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
Where:
[tex](x_1,y_1) = (5,8)[/tex] ---- A
[tex](x_2,y_2) = (-1,4)[/tex] ------ B
So, the expression:
[tex]m = (\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})[/tex]
becomes
[tex]m = (\frac{5 -1}{2},\frac{8 + 4}{2})[/tex]
[tex]m = (\frac{4}{2},\frac{12}{2})[/tex]
[tex]m = (2,6)[/tex]
Hence, the coordinates of the midpoint is: (2,6)
Solve the system of equations algebraically.
5x - 3y = 6
6x - 4y = 2
a. many solutions
C.
no solution
b. (8, 14
d. (9. 13)
Please select the best answer from the choices provided
Ο Α
ОВ
О С
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=9,\:y=13[/tex]
the option 'd' is correct.
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}5x-3y=6\\ 6x-4y=2\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}5x-3y=6\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:30x-18y=36[/tex]
[tex]\mathrm{Multiply\:}6x-4y=2\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:30x-20y=10[/tex]
[tex]\begin{bmatrix}30x-18y=36\\ 30x-20y=10\end{bmatrix}[/tex]
[tex]30x-20y=10[/tex]
[tex]-[/tex]
[tex]\underline{30x-18y=36}[/tex]
[tex]-2y=-26[/tex]
[tex]\begin{bmatrix}30x-18y=36\\ -2y=-26\end{bmatrix}[/tex]
solve for y
[tex]-2y=-26[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-2[/tex]
[tex]\frac{-2y}{-2}=\frac{-26}{-2}[/tex]
[tex]y=13[/tex]
[tex]\mathrm{For\:}30x-18y=36\mathrm{\:plug\:in\:}y=13[/tex]
[tex]30x-18\cdot \:13=36[/tex]
[tex]30x-234=36[/tex]
[tex]30x=270[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}30[/tex]
[tex]\frac{30x}{30}=\frac{270}{30}[/tex]
[tex]x=9[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=9,\:y=13[/tex]
Therefore, the option 'd' is correct.
3(2^2x+3)-5(2^x+2)-156=0 in logarithm form
Answer:12x-157-5.2x
Step-by-step explanation:Like this or you want us to solve it lol
The given equation can be written in logarithmic form as xlog(2) + log(3 × 2ˣ - 5) = log(157).
What is Logarithm?Logarithm function is defined as the inverse of the exponential function.
If a^(b) = c, then b = log(c) at the base of a.
Logarithm of any number is always positive.
For negative numbers, the logarithm are complex numbers.
The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]
Suppose 2ˣ be t, then the equation can be rewritten as,
3(t² + 3) - 5(t + 2) - 156 = 0
⇒ 3t² - 5t = 157
⇒ t(3t - 5) = 157
Take logarithm both sides to get,
log(t(3t - 5)) = log(157)
Use the property log(ab) = log(a) + log(b) to get,
log(t) + log(3t - 5) = log(157)
Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,
xlog(2) + log(3 × 2ˣ - 5) = log(157)
Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).
To know more about logarithm click on,
https://brainly.com/question/20785664
#SPJ2
What is 7.504-2.3792 rounded to the hundred
Answer:
0
Step-by-step explanation:
First what we have to do is subtract 7.504 and 2.3792 7.504 - 2.3792 = 5.1248then what we do isfind the number in the number in the hundreds place 0 and look one place to the to the right for the rounding digit 0. Round up if this number is greater than or equal to 5 and round down if less than five.Since zero is less than five we would round down
so our answer is zero
Hope this helps
Hope u get it right
A heater raises the temperature in a room by 3 degrees Celsius per hour. What is the rate in degrees Fahrenheit per minute? Hint: search for convert celsius to fahrenheit
Answer:
...you can just look up a Fahenheit to Celsius/vice versa/ calculator. it would have been so much faster and easier, but *sigh*
approx. 0.623 F per minute
Step-by-step explanation:
Element X decays radioactively with a half life of 9 minutes. If there are 610grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 124 grams?
y = a(.5) t/h
A half-life of 9 minutes corresponds to a decay factor k such that
[tex]\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)[/tex]
Then the time it takes for the substance to decay from 610 g to 124 g is time t such that
[tex]124\,\mathrm g=(610\,\mathrm g)e^{kt}[/tex]
Solve for t :
[tex]\dfrac{62}{305}=e^{kt}[/tex]
[tex]\ln\left(\dfrac{62}{305}\right)=kt[/tex]
[tex]t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686[/tex]
so it takes about 20.7 min for the 610 g sample to decay down to 124 g.
Do you guys know this
Answer:
18
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.
We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.
What is the value of the digit 2 in the number 48.52?
A: 2/10
B: 1/2
C: 2/100
D: 1/20
In △ABC, G is the centroid. If CG=12 find CD.
Answer:
CD = 24
Step-by-step explanation:
If G is the centroid, then CG = GD. (12 = 12)
Since CD is CG and GD combined, we would just add these two numbers to find the total length of CD.
CG + GD = CD
12 + 12 = 24
A normal body temperature for a human is approximately 98°F. What is this temperature in degrees Celsius? Round your answer to the nearest 10th.
Answer:
36.67
Step-by-step explanation:
when you solbe you get 36.667 then round to become 36.67
Answer:
37°C
Step-by-step explanation:
The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,
➳ C/5 = F -32/9
➳ C/5 = 98 - 32/9
➳ C/5 = 66/9
➳ C = 66/9 × 5
➳ C = 36.66 °C ≈ 37°C
Hence the body temperature in Celsius measure is 37°C .At his birthday party, Mr Green would not directly tell how old he was. He said, "If you add the year of my birth to this year, subtract the year of my tenth birthday and the year of my fiftieth birthday, then add my age, the result is 122". How old is Mr Green
Answer:
61 years old in the year 2020Step-by-step explanation:
Let us assume the question was asked in the year 2020, that is this year
Say that Mr. Green was born in year x
The mathematical expression for his statement is given as
[tex]x + 2020 - (x + 10 + x + 50) + (2020 - x) = 122[/tex]
Solve for x
x + 2020 + 2020 - x - x - 60 - x = 122
4040- 122- 2x = 0
3918= 2x
divide both sides by 2
3918/2= x
x=1959
He was born in 1959, so now
he is (2020-1959)
=61 years old.
A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is _____ as large as the principal times the monthly interest rate.
Answer:
at least
Step-by-step explanation:
A fairly good estimate for a long-term loan with a moderate or high interest rate is that the monthly payment is AT LEAST as large as the principal times the monthly interest rate.
The correct word that missing in the statement is at least.
Given that, a statment is given we have to determine which word is missing the statment.
What is the investment?Investment is defined as when an individual spends money on something that returns him or her higher money than the money they or invest.
The monthly payment being at least equal to the principal multiplied by the monthly interest rate is a reasonable estimate for a long-term loan with a moderate or high-interest rate. So the correct statement is given as,
"A fairly good estimate for a long-term loan with a moderate or high-interest rate is that the monthly payment is at least as large as the principal times the monthly interest rate."
Thus, the correct word that missing in the statement is at least.
Learn more about investments here:
https://brainly.com/question/15353704
#SPJ2
which is equivalent to 2(5m)+m? options are 11m, 12m, 5m+2 or 7m+2m
Answer:
11m
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
2(5m) + m
Step 2: Simplify
Multiply: 10m + mAdd: 11mAnswer:
11m
Step-by-step explanation:
2 times 5m equals 10m and 10m plus m equals 11m
One of the ancient stone pyramids in Egypt has a square base that measures 142 m on each side. The height is 93 m. What is the volume of the pyramid?
Step-by-step explanation:
V
=
a
2
h
3
=
142
2
·
93
3
=
6.25084×105
The volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.
What is a pentahedron?A Square Pyramid is a pyramid with the base as a square. It is also known as pentahedron. It has 5 faces out of which 4 are triangles while 1 is a square.
The volume of the square pyramid is one-third of the product of the area of the square and the height of the pyramid. Thus, the volume of the square pyramid with a side length of 142 m and a height of 93 m can be written as,
[tex]\rm \text{Volume of square pyramid} = \dfrac13 \times \text{(Area of square)} \times Height[/tex]
[tex]= \dfrac13 \times (142)^2 \times 93\\\\= 625,084\rm\ m^3[/tex]
Hence, the volume of the ancient stone pyramids in Egypt with a side of 142 m and a height of 93 m is 652,084 m³.
Learn more about Square Pyramid:
https://brainly.com/question/15219357
2
Viviana is ordering carpet
for 16 square rooms in a
hotel. Each room will need
100 square feet of
carpet. What is the
length of 1 room?
Answer:
Length of a room is 10ft
Step-by-step explanation:
Given
[tex]Rooms = 16[/tex]
[tex]Carpet\ Area = 100ft^2[/tex]
Required
Determine the length of each room
Here, we'll assume that the carpet will cover each room completely.
If so:
[tex]Carpet\ Area = Length * Length[/tex]
[tex]100ft^2 = Length * Length[/tex]
[tex]100ft^2 = Length^2[/tex]
Take square root of both sides
[tex]\sqrt{100ft^2} = \sqrt{Length^2}[/tex]
[tex]\sqrt{100ft^2} = Length[/tex]
Take positive square root
[tex]10ft = Length[/tex]
[tex]Length = 10ft[/tex]
Hence, the length of a room is 10ft
A submarine started at the
surface of the water and was moving underwater at
22 feet per minute toward the ocean floor. The submarine traveled at this rate
for 75 minutes before coming to rest on the ocean floor. Which of the following
integers represent the depth of the ocean floor in feet?
Answer:
1650
Step-by-step explanation:
75x22+1650
What is 0.62x10 yo the power of 3
Answer:
62
Step-by-step explanation:
Answer:
238.328
Step-by-step explanation:
The product of 0.62 x 10 is 6.2. So, I did 6.2 to the power of 3, which is 238.328.
plz do this ill mark brainly
Answer:
7+(−2) = 7 − 2 = 5
Step-by-step explanation:
Answer:
The Positive number has to be greater than the negative number you are adding with.
Example(s):
-30 + 35 = 5
-65 + 70 = 5
I need help guys, what's the line segment of PN.
Answer:
It's a shared side???? It's a leg of a right triangle??? What are you specifically asking for? I need numbers
Step-by-step explanation:
The range of a set of scores is 27, and the lowest score is 39. Write and
solve an equation to find the highest score. (Hint: In data sets, the range is
the difference between the highest and the lowest values.) *
Answer: The highest score is 66
Step-by-step explanation: First we need to set the problem up.
x - 39 = 27
Next solve the problem.
Get x by itself by getting rid of the negative 39
x - 39 + 39 = 27 + 39
Add/Subtract
x = 66
You don’t need to simplify anymore so leave the problem alone since you already have the answer.
Hope it helped you guys!
The mean is 0.500 and the standard deviation is 1.84 x 10-3. Gaussian Statistics Apply. How many replicate determinations are necessary if the standard error of the mean is not to exceed 0.100%
Answer:
I don't know but do you know how to answer this:
Two similar right triangles have areas of 6 square inches and
150 square inches. The length of the hypotenuse of the smaller
triangle is 5 inches. What is the sum of the lengths of the legs
of the larger triangle?
Answer:
:>
Step-by-step explanation:
Yes, AA
Yes, SAS
Not similar
Yes, SSS
Answer:
Yes, AA
Step-by-step explanation:
These triangles are similar because 2 angles in each triangle are congruent.
Find the product
1. (-3) (8)
2. (-12)(-8)
3. -72 ÷ (-9)
Answer: 1.) -24
2.) 96
3.) 8
Step-by-step explanation:
1.) A negative number multiplied times a positive number will automatically equal a negative answer. Ex: (-9) (5) = -45
2.) A negative number multiplied times a negative number will autimatically equal a positive answer. Ex: (-4) (-5) = 20
3.) This is the same as the statement above, but all you're doing this time is dividing. A negative number divided by a negative number will equal a positive number. Ex: -36 ÷ (-9) = 4
Find the slope of the line.....
Second choice, m = 4
Step-by-step explanation:
y = 4x - 10
y = mx + b, m is the slope, and in the equation 4 is replacing m therefore 4 is the slope.
(If u want to know, yes I wrote third instead of second but at least it's edited noe)
Answer:
m=4
Step-by-step explanation:
Sam's new room is square, and each side measures 15 feet. What is the
area of the room?
Answer:
225 feet
Step-by-step explanation:
Square sides are always the same size so just multiply 15x15.
uhmm you guys know what
4x -8 by 4 is? please with solution so i can understand
Answer:
4x-32
Step-by-step explanation:
first multiply the numbers so 8x4 is 32 so 4x-32
Which is the mode for the data set? −1, 0, 3, 4, −3, −1
Answer:
-1
Step-by-step explanation:
The mode is just the data point that is present the most, which is -1.
Answer:
-1
explanation:
(I'LL BE GIVING BRAINLIEST TO WHO EVER HELPS ME!!
Which expression results in a sum or difference of three and four forty eighths?
A) two and two twenty fourths plus one and one half
B) one and three twelves plus two and one quarter
C) seven and nine sixteenths minus four and one third
D) six and two sixths minus three and two eighths
(Here is an image if needed) :
Answer:
Step-by-step explanation:
D) six and two sixths minus three and two eighths
Answer:
D) six and two sixths minus three and two eighths
Step-by-step explanation:
72 is 45% of what number
Answer:
72 is 45% of 160. I hope this helps :D
im scared to tell my parents im gay plz give me motivation
Same here love!! Remember that if the living environment can get dangerous that it's better to stay in the closet, but besides that Good luck!