the perimeter of a semicircle is 5.14 millimeters what is the semicircle diameter
Answer:
2 mm
Step-by-step explanation:
let the radius of the semi-circle be r
Then,
length of curved portion = 1/2 x circumference = (1/2) (2)(π)r = πr
length of straight portion = diameter of circle = 2r
Hence, we can write an expression for the perimeter
Perimeter = length of curved portion + length of straight portion
Perimeter = πr + 2r
Perimeter = (π + 2)r
since we are given the perimeter = 5.14, assuming that π=3.14, our equation becomes:
5.14 = (3.14 + 2)r
5.14 = 5.14 r
r = 5.14 / 5.14 = 1
Hence, diameter = 2r = 2(1) = 2 mm
Sloan was told to written paper of a science experiment should Express measurements and leaders 1.26 gallon 11.05 courts 14.2 to cups which shows how to calculate the number of liters he use if he use 5 cups of water divided by 5 4.22 divide 5 by 1.05 or multiply 5 by 1.05
Answer:
Multiply 5 by 4.22 because 5 cups of water is 4.22 liters
Complete the table to find solutions to the linear equation y=-10x+30
Which expression is shown by the model? 28 + 14 = 7 (4 + 14) 28 + 14 = 4 (7 + 2) 28 + 14 = 4 (14 + 28) 28 + 14 = 7 (4 + 2)
Answer:
ay
Step-by-step explanation: step by step
On Friday, Andre biked 60 miles in 4 hours at a constant rate. On Saturday, he biked at a rate that was 4 mph slower. What was his rate on Saturday?
A. 4 MPH
B. 11 MPH
C. 15 MPH
D. 16 MPH
Answer:
B. 11 MPH
Step-by-step explanation:
60/4=15
15-11=4
What is the image of point (0,2) after a rotation of 90° counterclockwise about the origin?
Answer:
(-2,0)
Step-by-step explanation:
remember the rule for 90 degree clockwise is (-y,x) opposite y and x
the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative
Hope this helps dude, I'm also learning this in online school lol. ^-^
The image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
The given coordinate point is (0, 2).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
The rule of 90° counterclockwise rotation: (x, y) becomes (-y, x), here
(-2, 0)
Therefore, the image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
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The aquarium where Fred works has a special tank for the baby sharks. The tank is shaped
like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the
bottom of the tank to the top. What is the volume of the shark tank?
the answer is instruments that detect earthquakes
what is the slope between the points (1,19) and (-2,-7) simplify
SHOW WORK ILL MARK BRAINLIST !!!!
Answer:
Let's see what to do buddy....
Step-by-step explanation:
_________________________________
Step (1)
[tex]f(x) = 3x - 2[/tex]
[tex]g(x) = {x}^{2} - 5 [/tex]
_________________________________
Step (2)
We need to find f(2) first ;
To do this we must put 2 instead of the x in f(x) function.
Let's do it :
[tex]f(2) = 3(2) - 2[/tex]
[tex]f(2) = 6 - 2[/tex]
[tex]f(2) = 4[/tex]
_________________________________
Step (3)
Now we are going to find g( f (2) ) ;
Look :
[tex]g( \: f(2) \: ) = g(4)[/tex]
So we want to find g(4) ;
which means we must put 4 instead of the x in g(x) function.
Let's do it :
[tex]g(4) = ({4})^{2} - 5 [/tex]
[tex]g(4) = 16 - 5[/tex]
[tex]g(4) = 11[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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A TV is 20% off the original price amount is $180. What is the original amount?
Answer: $200
Step-by-step explanation: $200=100% so then $200-20%=$180=80%
Answer:
9005
Step-by-step explanation:
180$ divided by 20% is 900$
Make a proportion for the following word problem and answer the question.A zippster car can travel 342 miles every 3 hours. How far can Michelle’s zippster car travel in 14 hours?FOR 25 POINTS
Answer:
1596 miles
Step-by-step explanation:
A suitable proportion can be ...
[tex]\dfrac{\text{miles}}{\text{hours}}=\dfrac{M}{14\text{ h}}=\dfrac{342\text{ mi}}{3\text{ h}}\\\\M=\dfrac{14\cdot 342}{3}\text{ mi}=1596\text{ mi}[/tex]
We solved it by multiplying both sides by 14 hours. The units of hours cancel, leaving units of miles.
Michelle's car can travel 1596 miles in 14 hours.
Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. What would Stacy spend if she bought 15 tickets?
Answer:
$52.50
Step-by-step explanation:
C = 3.5t
C = 3.5 (15)
3.5 × 15 = 52.5
C = $52.50
Find f(-5) × f(-3) f(x) = - x - 12
Answer:
63
Step-by-step explanation:
Step 1: Define
f(x) = -x - 12
f(-5) is x = -5
f(-3) is x = -3
Step 2: Find f(-5)
f(-5) = -(-5) - 12
f(-5) = 5 - 12
f(-5) = -7
Step 3: Find f(-3)
f(-3) = -(-3) - 12
f(-3) = 3 - 12
f(-3) = -9
Step 4: Find f(-5) × f(-3)
-7 × -9
63
factor 4x^2 -6w+2x-12xw
Answer:
2(2x+1)(x-3w)
Three hundred seventeen kids went on a field trip last
Tuesday. There were supposed to be six full buses, but
seven kids were sick that day. How many kids fit on
each bus?
Write an equation
Answer:
(317-7)/6≈52
Step-by-step explanation:
There was approximately 52 kids in each bus
Total number of kids = 317
Total number of buses = 6
Number of kids sick = 7
Therefore, the number of kids on each bus will be:
= (317 - 7) / 6
= 310/6
= 51 2/3
= 52 kids approximately
In conclusion, there was approximately 52 kids in each bus.
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prove that the following lines are parallel to each other.
3x+4y-7=0 and 6x+8y-11=0
(plzz do in process )
Answer:
Yes, they are paralle.
Step-by-step explanation:
Step-by-step explanation:
Hey there!
Here;
The equations are:
3x + 4y - 7 = 0.............(I)
6x + 8y -11 = 0.........(ii)
Let's simply work with this.
From equation (I)
[tex]slope(m) = \frac{ - coeff.of \: x}{coeff.of \: y} [/tex]
[tex]m1 = \frac{ - 3}{4} [/tex]
From equation (ii)
[tex]slope(m2) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} [/tex]
[tex]m2 = \frac{ - 6}{8} [/tex]
[tex]m2 = \frac{ - 3}{4} [/tex]
As per the condition of parallel lines;
M1 = M2
-3/4 = -3/4. (true)
Therefore, the lines are parallel to eachother.
Hope it helps...
3/4 ( 1/2× -12) + 4/5
What is the answer please I need it
Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. How much money will she have in this account if she keeps it for 8 years? Round your answer to the nearest cent. Do NOT round until you have calculated the final answer.
Answer:
The answer is 4062.39
Step-by-step explanation:
A=$2,400(1+0.0681)1(8). Simplify using the order of operations: A=$2,400(1.068)8=$2,400(1.692661131)≈$4,062.39.
The amount of money after 8 years will be $4062.38.
What is compound interest?In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.
Given that Karen invests $2,400 into an account with a 6.8% interest that is compounded annually. The amount after 8 years will be calculated as below:-
Amount = P [ 1 + ( r / n )]^(nt)
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Amount = 2400 [ 1 + ( 0.068 / 1 ) ] ⁸
Amount = 2400 [1.068 ) ] ⁸
Amount = 4062.38
Therefore, the amount of money after 8 years will be $4062.38.
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WILL MARK BRAINLIEST Given a the line y=2.5x+4, find line whose graph: b intersects with the graph of the given line.
round 496,804 to the nearest hundred thousand.
Answer:
500,000
Step-by-step explanation:
You have a 9 in the ten thousand, round up and get 500,000
Simplify -|-5 + 2|
7, 3, -7,-3
Answer:
-3
Step-by-step explanation:
In a batch of pedometers, are believed to be defective. A quality-control engineer randomly selects units to test. Let random variable Xthe number of defective units that are among the units tested. The probability mass function f(x)P(Xx) is given below. f(x){(0,), (1,), (2,), (3,)} Recall that the mean of a discrete random variable X with probability mass function f(x)P(Xx) is given by . Find for the probability mass function above. What does this number represent?
Answer:
The mean for the probability mass function is 0.64287.
Step-by-step explanation:
The complete question is:
In a batch of 28 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.
The probability mass function f (x) is:
f (x) = {(0, 0.47009), (1, 0.42308), (2, 0.10073), (3, 0.00611)}
Solution:
The mean of a discrete random variable X with probability mass function f (x) is:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
Compute the mean for the probability mass function above as follows:
[tex]\mu=\sum\limits^{n}_{x=1}{x\times f(x)}[/tex]
[tex]=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287[/tex]
Thus, the mean for the probability mass function is 0.64287.
This values represents the expected number of defective units for every 6 units tested.
g The number of individuals arriving at a food pantry in a small city averages eight per day. Assume the Poisson distribution. What is the probability that, on any given day, there will be 9 individuals arriving at the food pantry
Answer:
The probability that on any given day, there will be 9 individuals arriving at the food pantry is 0.1241
Step-by-step explanation:
Here, we are to use Poisson distribution probability formula
Please check attachment for detailed explanation
If the sum of four consecutive numbers is 942, what is the last one?
Answer:
237
Step-by-step explanation:
I put a pic of question here. I'm in 8th grade
y = 115
x = 78
The angles in each line have to add up to 180. In this case, it doesn't show the other side of the angle, but you could probably think of it.
the exact value of 5.2 billion ÷100 is
(use scientific notation, round to three decimal places as needed)
The answer is:
5.2 x 10^7 or 52,000,000
Solve the inequality
4(x + 3) - 72 x + 3(x + 1)
Answer:
= -65x + 15
Step-by-step explanation:
You Welcome ❤
Answer:
=-65+18i think sorry I'm not much help but I hope it was right
f(x)=-4x²-6x-1and g(x)=-x²-5x+3 find (f+g)(x)
[tex](f + g)(x) = - 4 {x}^{2} - 6x - 1 - {x}^{2} - 5x + 3 \\ [/tex]
[tex](f + g)(x) = - 5 {x}^{2} - 11x + 2 \\ [/tex]
And we're done.
Thanks for watching buddy good luck.
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To find 2.43 x 7.5, multiply__*_. Then, place the decimal point in the product to show
decimal places. PLEASE BRAINILY HELPPP
Answer:
16.825 is the answer for your question