Answer:
The slope is 1/8 and the y intercept is 3
Step-by-step explanation:
y = 1/8 x +3
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 1/8 and the y intercept is 3
If a square has an area of x, then, in terms of x, what is the circumference of the largest circle that can be inscribed in the square? Answer: pi square root x AKA π√ x This is an SAT Math question no CALCULATOR. Show all the work
Answer:
C = pi sqrt(x)
Step-by-step explanation:
The area of a square is x
A = s^2 where s is the side length
x = s^2
Take the square root of each side
sqrt(x) = s
This would be the diameter of the inscribed circle
The circumference of a circle is given by
C = pi d
C = pi sqrt(x)
Answer:
See below.
Step-by-step explanation:
Assign the variable n to be the sides of the square.
Since a square has four equal sides, the area of the square is n^2 or x.
Therefore:
[tex]n=\sqrt{x}[/tex]
The largest circle that can be inscribed in the square will have the largest possible diameter. The largest possible diameter will be straight across the center of the circle. So, the largest possible diameter will be the side length, n.
Therefore, the radius will be n/2.
The circumference of a circle is:
[tex]C=2\pi r[/tex]
Plug in n/2 for the radius:
[tex]C=2\pi (\frac{n}{2})\\ C=n\pi[/tex]
Now, substitute n for the square root of x:
[tex]C=\pi\sqrt{x}[/tex]
Select the correct answer -1/4(12x+8) is less than it equal to -2x+11
Answer:
x ≤ [tex]\frac{9}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4}[/tex](12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side
3x + 2 ≤ - 2x + 11 ( add 2x to both sides )
5x + 2 ≤ 11 ( subtract 2 from both sides )
5x ≤ 9 ( divide both sides by 5 )
x ≤ [tex]\frac{9}{5}[/tex]
-¼(12x+8) ≤ -2x+11
• Divide by 44X-¼(12x+8) ≤-2x+11
= -12x + 8 ≤ -2x + 11
• Group like terms-12x + 2x ≤ 11 - 8
= -10x/10 ≤ 3/-10
x≤ 3/-10A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the probability that it will be green when you reach the intersection? Round your answer to two decimal places.
Answer:
0.56 is the required probability.
Step-by-step explanation:
Time for which signal shows green light = 4 minutes
Time for which signal shows yellow light = 10 seconds
Time for which signal shows red light = 3 minutes
To find:
Probability that the signal will show green light when you reach the destination = ?
Solution:
First of all, let us convert each time to same unit before doing any calculations.
Time for which signal shows green light = 4 minutes = 4 [tex]\times[/tex] 60 seconds = 240 seconds
Time for which signal shows yellow light = 10 seconds
Time for which signal shows red light = 3 minutes = 3 [tex]\times[/tex] 60 seconds = 180 seconds
Now, let us have a look at the formula for probability of an event E:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
Here, E is the event that green light is shown by the signal.
Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time (Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)
So, the required probability is:
[tex]P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }[/tex]
Partition the circle into 4 equal sections. What unit fraction of the circle’s area does each section represent?
Answer:
1/4
Step-by-step explanation:
If the 4 sections have equal areas, then each section has 1/4 of the original circle's area.
Convert 50 yards into meters.
A. 45.87 meters
C. 72.45 meters
B. 50 meters
D. 60 meters
Convert 50 yards into meters.
A. 45.87 meters
C. 72.45 meters
B. 50 meters
D. 60 meters
It's actually 45.72 but A is the closest :)
Answer:
Hey there!
One yard is about 0.9144 m.
Thus, 50 yards would be about 45.87 meters.
Let me know if this helps :)
At the age of 10, Edgar received an inheritance of $10,000. His father wants to invest the money in an account that will double in value in 8 years. Approximately what interest rate does the father need to find in order to reach his goal?
Answer:
9%
Step-by-step explanation:
Use the rule of 72. If you want the money to double in 8 years, it will need to be at 9 percent interest rate to reach this goal.
Give the domain and range of each relation using set notation
Answer:
See below.
Step-by-step explanation:
First, recall the meanings of the domain and range.
The domain is the span of x-values covered by the graph.
And the range is the span of y-values covered by the graph.
1)
So, we have here an absolute value function.
As we can see, the domain of the function is all real numbers because the graph stretches left and right infinitely. Therefore, the domain of the function is:
[tex]\{x|x\in\textbb{R}\}[/tex]
(You are correct!)
For the range, notice how the function stops at y=7. The highest point of the function is (-2,7). There graph doesn't and won't ever reach above y=7. Therefore, the range of the graph is all values less than or equal to 7. In set notation, this is:
[tex]\{y|y\leq 7\}[/tex]
2)
We have here an ellipse.
First, for the domain. We can see the the span of x-values covered by the ellipse is from x=-4 to x=6. In other words, the domain is all values in between these two numbers and including them. Therefore, we can write it as such:
[tex]-4\leq x\leq 6[/tex]
So x is all numbers greater than or equal to -4 but less than or equal to 6. This describes the span of x-values. In set notation, this is:
[tex]\{x|-4\leq x\leq 6\}[/tex]
For the range, we can see that the span of x values covered by the ellipse is from y=-5 to y=1. Just like the domain, we can write it like this:
[tex]-5\leq y\leq 1[/tex]
This represents all the y-values between -5 and 1, including -5 and 1.
In set notation, thi is:
[tex]\{y|-5\leq y\leq 1\}[/tex]
Look at the picture
Answer:
f(x) = {x^2 if x = (-inf , 2) , y = 5 if x [2, 4).
Step-by-step explanation:
First, we look at the quadratic. Luckily, it's only x^2. Putting in the range, we have f(x) = x^2 if x < 2, or (-inf, 2).
Then, we have the line. This is the line of y = 5, and the range is if 2 [tex]\leq[/tex] x < 4, or [2, 4).
120 meals to 52 meals what is the percentage change?
Answer: The percentage change is 56.67%.
Step-by-step explanation:
From 120 meals to 52 meals, change in meals = ( 120- 52) meals
= 68 meals
The percentage change = [tex]\dfrac{\text{change in meals}}{\text{Original quantity of meals}}\times100[/tex]
[tex]=\dfrac{68}{120}\times100\\\\=56.67\%[/tex]
Hence, the percentage change is 56.67%.
The area of the circle x² + y2 - 6x-4y +9 = 0 is
Answer:
Your answer is here.Enjoy dude
Answer:
12.56 unit²
Step-by-step explanation:
Given:x² + y² - 6x - 4y + 9 = 0To find:The area of circleSolution:The form of the circle is:
(x- h)² + (y-k)² = r²Let's bring the given to the form of a circle as above:
x² + y² - 6x - 4y + 9 = 0x² - 6x + y²- 4y + 9 = 0 ⇒ combining like terms and completing squarex² - 6x + 9 + y²- 4y + 4 = 4 ⇒ adding 4 to both sides(x-3)² + (y - 2)² = 2² ⇒ got the form of this circleAs per the form, we got r² = 2², so the radius of circle is 2 units.
The area of circle:
A= πr² = 3.14×2² = 12.56 unit²21
22
C
Because of President Clinton's stand on Haiti,
O President Aristide was assassinated.
O President Aristide fled to Somalia.
O Haitian military powers agreed to step aside.
O Haitian rulers threatened to invade the United States.
Mark this and return
Save and Exit
sont vodo)
Answer:
Haitian military powers agreed to step aside.
Step-by-step explanation:
How did President Clinton react when military leaders in Haiti overthrew Aristide? He threatened to invade Haiti if Aristide wasn't returned to power. ... Because of President Clinton's stand on Aristide's oust from power in Haiti, Haitian military powers agreed to step aside.
C. Haitian military powers agreed to step aside.
edge 2021
please this is easy show working out and please get correct
Answer:
$ 180,000
Step-by-step explanation:
All we are being asked to do in this question is take the simple interest, given a principle value of $100,000, with 8 percent interest each year over a course of 10 years. This is given the simple interest formula P( 1 + rt ).
Simple Interest : P( 1 + rt ),
P = $ 100,000 ; r = 8% ; t = 10 years,
100,000( 1 + 0.08( 10 ) ) = 100,000( 1 + 0.8 ) = 100,000( 1.8 ) = 180,000
Therefore you will have to pay back a total of $ 180,000
How long will it take for a lump-sum investment to double in value at an interest rate of 1.5% per month, compounded continuously
Answer:
It will take 47 months ( 3 years and 11 months)
Step-by-step explanation:
We use the compound interest formula here.
Mathematically;
A = P( 1 + r)^t
Where A is the amount which is 2 times the principal here, so we can call it 2P
P is the lump-sum invested
r is the monthly interest rate given as 1.5% = 1.5/100 = 0.015
t = time , which we want to calculate
Substituting these values, we have;
2P = P(1 + 0.015)^t
divide both sides by P
2 = 1.015^t
Take the log of both sides;
log 2 = log (1.015)^t
log 2 = t log 1.015
t = log2/log1.015
t = 46.55
which is approximately 47 months
I will mark u brainleist if u help me and 5 stars and a thanks
Answer:
1. Jan checks the weather. It is 27 degrees outside. Jan did chores for two hours. After Jan was done, she checked the weather again. The temperature had decreased 11 degrees.
2. (See screen shot below.)
Step-by-step explanation:
1. It doesn't have to be as complicated as I made it. You can just say that the weather started out with 27 degrees, and decreased later on. Remember, decreased means subtracted and 27+(-11) is the same as 27-11 because when a + and - are together - always wins. So no.1 wants you to say something got subtracted.
2. On the number line, make a dot at 29 because it said it was 29 degrees. Then drag the dot at the number 29 to 13 because it said it decreased 16, so it is 19 minus 16 which is 13.
10/7p+13/8+15/2p=909/56 i NEED THiS solving multi step equations w fractions and #8 PLEASE
Answer:
P= 2
Step-by-step explanation:
10/7p+13/8+15/2p=-909/56
Combine like terms
10/7p+15/2p=-909/56-13/8
20p+105p/14=-909-13*7/56
125/14p=-909-91/56
125/14p= -1000/56
125/14p*14/125= -1000/56*14/125
simplify
P= 8/4=2
And for #8 n =1 I answered this question it
Search
Researchers recorded that a certain bacteria population declined from 120,000 to 200 in 36 hours. At this rate of decay, how many bacteria will there be in 31 hours? Round to the nearest whole number.
Answer: There will 486 bacteria in 31 hours.
Step-by-step explanation:
The population decay in bacteria is exponential.
Exponential function : [tex]y=Ab^x[/tex], where A = initial population, b multiplication decay factor, t= time:
As per given:
Initial population: [tex]A=120,000[/tex]
After 36 hours, population = [tex]120000(b^{36})=200[/tex]
Divide both sides by 120,000 we get
[tex]b^{36}= 0.00167[/tex]
Taking natural log on both sides , we get
[tex]36\ln b=\ln 0.00167\\\\\Rightarrow\ b=e^{\left(\frac{\ln0.00167}{36}\right)}=0.83724629\approx0.8372[/tex]
At x= 31,
[tex]y=120000(0.8372)^{31}=120000\times0.00405234\approx486[/tex]
Hence, there will 486 bacteria in 31 hours.
Brian needs to paint a logo using two right triangles. The dimensions of the logo are shown below. What is the difference between the area of the large triangle and the area of the small triangle?
Answer:
7.5 cm²
Step-by-step explanation:
Dimensions of the large ∆:
[tex] base (b) = 3cm, height (h) = 9cm [/tex]
[tex] Area = 0.5*b*h = 0.5*3*9 = 13.5 cm^2 [/tex]
Dimensions of the small ∆:
[tex] base (b) = 2cm, height (h) = 6cm [/tex]
[tex] Area = 0.5*b*h = 0.5*2*6 = 6 cm^2 [/tex]
Difference between the area of the large and the small ∆ = 13.5 - 6 = 7.5 cm²
which expression shows a way to find 2813×7
Answer:
19,691
Step-by-step explanation:
Answer:
2813 x 7 = 19691
Hope this helps!
What is 5% added to $194?
Answer:
203.7
Step-by-step explanation:
5% of 194 added to 194 =
= 5% * 194 + 194
= 0.05 * 194 + 194
= 9.7 + 194
= 203.7
find the straight time pay $7.60 per hour x 40 hours
Answer:
The straight time pay for $ 7.60 per hour and 40 work hours per week is $ 304.
Step-by-step explanation:
Let suppose that worker is suppose to work 8 hours per day, so that he must work 5 days weekly. The straight time is the suppose work time in a week, the pay is obtained after multiplying the hourly rate by the amount of hours per week. That is:
[tex]C = \left(\$\,7,60/hour\right)\cdot (40\,hours)[/tex]
[tex]C = \$\,304[/tex]
The straight time pay for $ 7.60 per hour and 40 work hours per week is $ 304.
An experimental probability is ______ likely to approach the theoretical probability if the number of trials simulated is larger. A. as B. more C. less D. not
Answer:
B. More
Step-by-step explanation:
This is according to the law of large numbers
An experimental probability is more likely to approach the theoretical probability if the number of trials simulated is larger.
What is an experimental probability and theoretical probability?Experimental probability is an experimental outcome whereas theoretical probability is a possible or expected outcome.
An experimental probability is more likely to approach the theoretical probability if the number of trials increased because of the law of large numbers which states that the average of the results obtained from a large number of trials should be close to the expected value and tends to become closer to the expected value as more trials are performed
Thus using the concept of the law of large numbers we can say that an experimental probability is more likely to approach the theoretical probability.
Learn more about probability here:
https://brainly.com/question/9627169
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PLEASE HELP, IT'S ARGENT!
From left to right, complete the table of values for the function . A.-1,-6,4,2 B.-7,-6,-2,2 C.-7,0,4,,6 D.-1 9/2, 4, 4 13/2
Answer:
I'm guessing the right answer should be B
1
1 point
mZABD = 79
D
C
V
(5x + 4)
(8x - 3)
В B.
A
x= type your answer...
2
1 point
Answer:
x = 6
Step-by-step explanation:
∠ DBC + ∠ ABC = ∠ ABD , substitute values
5x - 4 + 8x - 3 = 79
13x + 1 = 79 ( subtract 1 from both sides )
13x = 78 ( divide both sides by 13 )
x = 6
A box is dragged across 20 meters with a force of 60 Newtons, which are kg*m/s^2
Answer:
Mass= 6kg
Acceleration= 10 ms^-2
Work done = 1200Nm
Step-by-step explanation:
kg*m/s^2 represent the force.
The kg represent the mass
The m/s^2 represent the acceleration
The acceleration here will be due to gravity force= 10 ms^-2
Then the mass= 60/10
Mass= 6 kg
The force = 60 Newton
Distance covered in the direction of the the force= 20 Meters
The work done in the direction of the force= force* distance
The work done in the direction of the force=60*20
The work done in the direction of the force=1200 Nm
Answer: 20 • 60
Step-by-step explanation:
if f(x)=3x-3 and g(x)=-x2+4,then f(2)-g(-2)=
Answer:
3
Step-by-step explanation:
f(x)=3x-3
g(x)=-x^2+4,
f(2) = 3(2) -3 = 6-3 =3
g(-2) = -(-2)^2+4 = -4+4 = 0
f(2)-g(-2)= = 3-0 = 3
what is the distance between the first and third quartiles of a data set called?
Answer:
Interquartile range is the distance between the first and third of a data.
Step-by-step explanation:
Hope it will help you :)
Write "six and thirty-four thousandths" as a decimal
Answer:
6.034
Step-by-step explanation:
6 is a whole number.
.034 because it is 34 thousandths, not 34 hundredths.
PLEASE HELP MEEEEEEEEEEEEEEE
Answer:
x=16.1
Step-by-step explanation:
open the brackets
-4.5= -0.5x-3.55
Take 3.55 to the other side.
-4.5-3.55 = -8.05
5/10x= -805/100
0.5x= - 8.05 = 16.1
Complete the table for the given rule. Rule: y = x + 3. X ? Y 4. X ? Y 8. X ? Y 5
Answer:
X 1 for Y 4
X 5 for Y 8
X 2 for Y 5
Step-by-step explanation:
We can substitute the values of Y in the formula and then subtract three from both sides.
I don’t really get this question
You can put [tex]n[/tex] different elements in order in [tex]n![/tex] different ways.
So, you can visit 12 different cities in [tex]12!=479001600[/tex] different ways.
Answer: 479,001,600
Step-by-step explanation:
There are 12 ways to go to the first place, 11 for the second, ten for the third, and so on. So 12! Means 12x11x10x9x8x7x6x5x4x3x2x1.
