Answer:
y= -7+3x
The slope of the line is 3 and the intercept on the y-axis is 7.
Step-by-step explanation:
The slope-intercept form of the equation of a line is y=mx+c, where "m" is the slope of the line and "c" is the intercept of the line on the y-axis.
To find the slope and intercept of 6x+2y=14, you should solve for "y".
From the equation we get;
2y=-6x=14 or dividing each side by 2, we'll get y=3x+7.
Answer:
Domain: (−∞,∞), {x|x∈R}
Range: (−∞,∞), {y|y∈R}
I rlly need help on this
Answer:
what the question
Step-by-step explanation:
Write 84 as a product of primes.
Use index notation where appropriate
Answer:
2 x 2 x 3 x 7
Step-by-step explanation:
2x2=4
4x3=12
12x7=84
G
What is the value of -
IT
The half-life of a radioactive kind of antimony is 4 days. How much will be left after 12 days,
if you start with 7,600 grams of it?
22
grams
Time
elapsed
Submit
01
16
The mass of the substance left after 12 days is 501.51g.
Data;
Half life = 4 daystime = 12 daysNo = 7600Half - LifeThis is defined as the time taken for the radioactive sample to decay to half it's initial size.
This is given as
[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda}[/tex]
where
λ = disintegration constantLet's substitute the values and find the disintegration constant
[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda} \\4 = \frac{0.693}{\lambda} \\\\\lambda = \frac{0.693}{4}\\ \lambda = 0.17325[/tex]
But the value of a radioactive substance present at a given time is
[tex]N_t = N_o e^-^\lambda ^t[/tex]
Let's substitute the values and solve.
[tex]N_t = 7600 e^-^0^.^1^7^3^2^*^1^2\\N_t = 7600 * 0.065988\\N_t = 501.509g[/tex]
The mass of the substance left after 12 days is 501.51g.
Learn more on radioactivity here;
https://brainly.com/question/2320811
What is the name of the property given below ? If ab = 0 then a = 0 , b = 0 or both a = 0 and b = 0 . A. Zero property B. Distributive property O C. Zero product rule D. Commutative property
Answer:
c. zero product rule
Step-by-step explanation:
apex
PLEASE HELP ASAP!!!
1) what is the measure of <4? Explain
2) what is the sum of the measures of angles in a triangle?
3) <1 is in a triangle <4 and 53 angle. What is the sum of those two angles?
4) what is the measure of <1 explain
5) find the measure of <2 explain how you found it
6) what is the measure of <3 explaining
I will give Brainlist!!!
Answer:
1. 90 degrees because of supplementary angles
2. 180 degrees
3. 90 degrees
4. 37 degrees, since the sum of the interior angles add to 180, 180-90-53 = 37.
5. 127 degrees, supplementary angles 180-53
6 . 23 degrees, use the triangle sum theorem 180-30-127
The equation of the like below is y=1/2x-2
Which is the equation of the line that is perpendicular to ab and passes through the point a?
Answer:
y = -2x + 3
Step-by-step explanation:
Lines that are parallel have equal slopes but lines that are perpendicular have slopes that are opposite reciprocals. The slope of the given line is [tex]\frac{1}{2}[/tex] so the slope of all perpendicular lines will be - 2. The new line must pass through the point A(2, -1). Using the formula y = mx + b and replacing y with -1 and m with -2 and x with 2 gives -1 = -2(2) + b. This will simplify to -1 = -4 + b. Adding 4 to both sides gives 3 = b so the equation is y = -2x+3.
Given that x=3sinθ-2 and y=3cosθ+4.Show that (x+2)²+ (y-4)²=9
Answer:
First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:
[tex]((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9[/tex]
Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:
[tex](3\sin(\theta))^2+(3\cos(\theta))^2=9[/tex]
We can factor out 3^2 = 9 from both equations:
[tex]9(\sin(\theta)^2+cos(\theta)^2) = 9[/tex]
We know from a trigonometric identity that [tex]\sin(\theta)^2+cos(\theta)^2 = 1[/tex], meaning we can reduce the equation to:
[tex]9(1) = 9[/tex]
[tex]9=9[/tex]
And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.
Hope this helped you.
What is the volume of the rectangular prism?
3 inches
11 inches
6 inches
Answer:
198
Step-by-step explanation:
3x11x6=
Brian took eight years to pay off his $71,900 loan. the loan had an interest rate of 8.16%, compounded quarterly. if brian paid quarterly and made the same payment every time, how much was each payment that he made? a. $2,342.66 b. $3,081.54 c. $1,022.28 d. $1,466.76
The Brian paid amount of every quarter is $ 4287.79.
We have given that Brian took eight years to pay off his $ 71,900 loan, had an interest rate of 8.16%, compounded quarterly,
we have to determine, if Brian paid quarterly and made the same payment every time, how much was each payment that he made,
P=71900
r=8.16
[tex]r=\frac{8.16}{100}=0.0816[/tex]
[tex]i=\frac{r}{n}=\frac{0.0816}{4}= 1.0204[/tex]
for eight years
[tex]4\times 8=32[/tex]
What is the formula for the monthly payment?[tex]monthly payment=P((1+i)^n/n)[/tex]
Where p=present value
r=interest rate
m=number of compounding periods
n=m(t)
t=times in years
i=r/m
Therefore by using the formula we get,
[tex](71900 \times (1 + 0.0816 / 4) ^ {4\times8}) / (8 \times 4) = X[/tex]
[tex](71900 \times 1.0204 ^ {32}) / 32 = X[/tex]
[tex](71900 \times 1.9083) / 32 = X[/tex]
[tex]137209.2177 / 32 = X[/tex]
[tex]4287.79 = X[/tex]
Therefore, Brian paid $ 4287.79 every quarter.
To learn more about the monthly payment visit :
https://brainly.com/question/2151013
Answer:
3081.54
Step-by-step explanation:
took test 20 mins ago
The ordered pairs in the table below represent a linear function.
х
6
9
y
2
8
What is the slope of the function?
1
1
O
O 2
O 4
E the anwser is c
Step-by-step explanation:Finding Slope from a Table Worksheet Step-by-Step Example. 1 Find the change in the y-values by subtracting from one row to the next. 2 Find the change in the x-values by subtracting from one row to the next. 3 Divide the difference in the y-values by the difference in the x-values.
For his art project, Alan needs to paint the outer surface of a six-sided rectangular box. If the box has a length of 4 ft, a width of 3 ft, and a height of 2 ft, how much total surface area will Alan need to paint?
Answer:
52 ft squared
Step-by-step explanation:
1. Draw the picture with measurements
2. Decompose each shape
3. Find the area of each (l*w)
4. Add each measurement up
If m∠16=57°, and m∠20=39°, calculate m∠11
Check the picture below.
Using the properties of similar triangles Find the height of the tree.
Answer:
h = 15 ft
Step-by-step explanation:
using the 2 similar triangles in the diagram then the ratios of corresponding sides are in proportion.
let h be the height of the tree
[tex]\frac{h}{5}[/tex] = [tex]\frac{24}{8}[/tex] = 3 ( multiply both sides by 5 )
h = 15 ft
PLEASE HELP!!!!! All my points Picture below
Answer:
19. 13
20. 6
21. 12
Step-by-step explanation:
Juan has scores of 85, 83, and 93 on three math
tests. What is Juan’s average test score on these
math tests?
Answer:
80.5
Step-by-step explanation:
to find average you need to first added all your number then divide by how much numbers you added
Which of the following statements is not true about the numbers 7 and -7?
They are opposite numbers.
They form a zero pair.
They have the same absolute value.
They have a sum of -14.
Answer:
incorrect is They have a sum of -14
is 5/16 rational or
irrational
Answer:
Rational.
Step-by-step explanation:
It can be represented as a fraction
B is the midpoint of AC, AB = 5x and BC = 3x + 4. Find the length of AC
O 2
010
0 20
Answer: 20 (Option C)
Step-by-step explanation: Since B is the midpoint, Just set 5x and 3x+4 congruent to eachother. After you find out x ( which is 2) just plug it in and add them to get AC.
Solve the equation -6 + 6n = 42 for n. A. -6
B. 2
C. 6
D. 8
Answer:
D. [tex]\displaystyle 8[/tex]
Step-by-step explanation:
[tex]\displaystyle -6 + 6n = 42 \hookrightarrow \frac{48}{6} = \frac{6n}{6} \\ \\ \boxed{8 = n}[/tex]
*We add six to both sides, then divide the remaining result by six, to get eight.
I am joyous to assist you at any time.
Hey there!
-6 + 6n = 42
6n - 6 = 42
ADD 6 to BOTH SIDES
6n - 6 + 6 = 42 + 6
CANCEL out: -6 + 6 because it gives you 0
KEEP: 42 + 6 because it help solve for the n-value
NEW EQUATION: 6n = 42 + 6
SIMPLIFY IT!
6n = 48
DIVIDE 6 to BOTH SIDES
6n/6 = 48/6
CANCEL out: 6/6 because it give you 1
KEEP: 48/6 because it help solve for the n-value (it actually give you the n-value)
NEW EQUATION: n = 48/6
SIMPLIFY IT!
n = 8
Therefore, your answer is: Option D. 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the relationship between peace and Development
WILL MARK BRAINLIEST IF CORRECT PLEASE ANSWER!!!!
Square GHIJ circumscribes circle K. Find the area of the shaded region. Round your answer to the nearest tenth if necessary.
Answer:
13.7
Step-by-step explanation:
I just did the problem
7-40 = -5-8
Answer plz!
Answer:
Well if you are trying to say if they are the same then no
Step-by-step explanation:
-33≠-13
Hope this helps!
8x - 3 =33 as a decimal
Answer:
x=4.5
Step-by-step explanation:
8x-3=33
8x=36
x=4.5
Answer:
4.5
Step-by-step explanation:
8x-3=33
8x-3+3=33+3
8x=36
8x/8=36/8
x=4.5
Hope this helps! Pls give brainliest!
Hey guys, I was wondering if anyone would know the answer to this problem, What's the perimeter of a shape that's sides are 2 1/18, 2 2/9, and 2 1/18 and 2 2/9? I also attached a file of a screenshot if that helps. I desperately need help. The Answer has to be in a mixed number.
Answer:
https://brainly.com/question/26947898?answering=true&answeringSource=feedPublic%2FhomePage%2F1
Step-by-step explanation:
if its wrong then this
https://brainly.com
Answer:8 5/9 meters
Step-by-step explanation:
If you get a common denominator and add, 2 4/18 + 2 1/18 + 2 1/18 + 2 4/18 you get 8 10/18 which is 8 5/9 when simiplified.
Do you guys know what the answer is ? Please I need help
Answer:
I believe it would be steepness only.
Please let me know if I'm incorrect :)
Mileage Abilene Dallas El Paso Lubbock San Antonio Abilene 185 447 165 261 Dallas 185 633 351 277 El Paso 447 633 344 558 Lubbock 165 351 344 394 San Antonio 261 277 558 394 Find the distance from San Antonio to El Paso. 344 mi 633 mi 261 mi 558 mi
Why are first time home buyers, on average, only able to pay around 5% for a down payment on a house?
Answer:
They don't have enough money to pay the full price so they have no option but to pay what they have in their saving account. Also as a first down payment its allowed to start from 3% and up. The much down payment the lower they will pay every month.
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 TIME REMAINING 52:29 There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFraction 3 over 8 EndFraction mile longer than route B. The equation b + StartFraction 3 over 8 EndFraction = 2 and StartFraction 1 over 8 EndFraction can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?
Answer:
Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B
Step-by-step explanation:
Length of route A = [tex]2 \frac{1}{8} miles[/tex]
Length of route A [tex]=\frac{17}{8} miles[/tex]
We are given that route A is 3/8 mile longer than route B
Let b be the length of route B
So, [tex]b+\frac{3}{8} =2 \frac{1}{8} \\b+\frac{3}{8} =\frac{17}{8}\\b=\frac{17}{8}-\frac{3}{8}\\b=\frac{14}{8}\\b=\frac{7}{4}\\b=1\frac{3}{4}[/tex]
Hence Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B
Simplify the following expression (3x^2-11x-4)-(x-2)(2x+3)
Answer:
[tex]x^2-10x+2[/tex]
Step-by-step explanation:
Given the following question:
[tex](3x^2-11x-4)-(x-2)(2x+3)[/tex]
To find the answer we need to simplify by using inverse operations and of course grouping like terms.
[tex](3x^2-11x-4)-(x-2)(2x+3)[/tex]
[tex]3x^2-11x-4-\left(x-2\right)\left(2x+3\right)[/tex]
[tex]\left(x-2\right)\left(2x+3\right)=-2x^2+x+6[/tex]
[tex]3x^2-11x-4-2x^2+x+6[/tex]
[tex]3x^2-2x^2-11x+x-4+6[/tex]
[tex]-4+6=2[/tex]
[tex]3x^2-2x^2-11x+x+2[/tex]
[tex]3x^2-2x^2=x^2[/tex]
[tex]x^2-11x+x+2[/tex]
[tex]11x-x=10x[/tex]
[tex]x^2-10x+2[/tex]
Your answer is "x^2 - 10x + 2."
Hope this helps.