Answer:
AOS: x = -1
Vertex: (-1, -2)
Step-by-step explanation:
Indentify the turning point of the graph with is x = -1.
How does light travel so you can see in the dark
Answer:
Step-by-step explanation:
Light travels as a wave. But unlike sound waves or water waves, it does not need any matter or material to carry its energy along. This means that light can travel through a vacuum—a completely airless space. ... It speeds through the vacuum of space at 186,400 miles (300,000 km) per second.
what is the lenght of the diagonal of the rectangle
Answer:
P = 2l + 2w
Step-by-step explanation:
please help fast and expalin.
Answer: 10,000
Step-by-step explanation:Hope this helps!
help me answer please
Answer:
x=21
Step-by-step explanation:
supplementary angles add up to 180°
7x-3+2x-6=180
collect like terms
9x-9=180
add 9 to both sides
9x=189
divide both sides by 9
x=21
Which statement is modeled by 2p + 5 < 11
Group of answer choices
The sum of 5 and 2 times p is at least 11
5 added to the product of 2 and p is less than 11
2 times p plus 1 is at most 11
the product of 2 and p added to 5 is 11
PLEASE HELP AHHHH IS URGENT.
10<2x+2<16
Lol yea I’m dumb and I’m honors what abt it imma disappointment
Answer:
4 and 7
Step-by-step explanation:
Answer:
4<x<7
Step-by-step explanation:
10<2x+2<16 First, we can subtract 2 on all three sides.
-2 -2 -2
8<2x<14 Divide by 2 on both sides.
/2 /2 /2
4<x<7
Hope this helped you out!!! Be more positive about yourself...I promise it will help...and if you ever need help, just ask! Have a wonderful day :3
you are renting an apartment. the living room is 412 square feet. the kitchen is 337 square feet. the bedroom is 265 square feet. how much square feet are in these three rooms
Answer: 1,014
Step-by-step explanation: 412+265=677 677+337=1,014
On a spelling test, Lucy got 4 out of 5 correct. If Lucy got
20 questions correct, then how many quesitons did she
miss?
Answer:
4
Step-by-step explanation:
Answer:
She missed 4 questions
Step-by-step explanation:
4/5=8/10=16/20
A rectangle has length 8x 104 mm and width 4 x 104 mm. The rectangle's length is how many times
its width?
The rectangle's length is times its width.
(Type a whole number.)
Answer:
Step-by-step explanation:
It would be 2.
8/4=2
10^(4-4)=10^0 or 1
2*1=2
The lifetime in months of a transistor in a certain application is random with probability density function:
f(x) = {0.4e^-0.4x, x>0 0, x<0
a. Compute the mean lifetime.
b. Compute the standard deviation of the lifetimes.
c. Compute the cumulative distribution function of the lifetime.
d. Compute the probability that the lifetime will be less than 6 months.
e. Compute the 60^th percentile of the lifetime.
Answer:
Explained below.
Step-by-step explanation:
The probability density function of lifetime in months of a transistor in a certain application is:
[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]
The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.
(a)
Compute the mean lifetime as follows:
[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]
Thus, the mean lifetime is 2.5 months.
(b)
Compute the standard deviation of the lifetimes as follows:
[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]
Thus, the standard deviation of the lifetimes is 2.5 months.
(c)
The cumulative distribution function of the lifetime is:
[tex]CDF=1-e^{-0.40x}[/tex]
(d)
Compute the probability that the lifetime will be less than 6 months as follows:
[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]
[tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]
Thus, the probability that the lifetime will be less than 6 months is 0.9093.
(e)
Compute the 60th percentile of the lifetime as follows:
[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]
Thus, the 60th percentile of the lifetime is 2.3 months.
Helppppp please !!!!!
Answer:
The answer is A) 1/8^2
Step-by-step explanation:
Both of the equations simplified equal 1/64.
If you bought a stock last year for a price of $63, and it has risen 17% since then, how much is the stock worth now, to the nearest cent?
0.75 (6+d)=12 step by steP
Answer:
Step-by-step explanation:
step 1: 0.75 x 6 = 4.5
step 2: 0.75 x d = 0.75d
step 3: 4.5 + 0.75d = 5.25d
It's correct answer
Complete the following statement.
Find the quotient. 7200/9 =
Answer:
800
Step-by-step explanation:
9 goes into 72 eight times, nine goes into 0 zero times
The complete statement is as follows:
The quotient of, 7200/9 = 800.
Quotient is the result which we get by dividing the one number by the other.
Where, the number which is getting divided is known as 'dividend' and the number which divides the dividend is known as 'divisor'.
So,
Quotient = Dividend ÷ Divisor.
Or,
[tex]\text{Quotient} = \frac{\text{Dividend}}{\text{Divisor}}[/tex]
In 7200÷9, 7200 is dividend and 9 is divisor. We have to find the quotient.
Applying the division on 7200 by 9.
Since, 9 is very less than 72. Take the first 2 digits.
72÷9 = 8
There is no remainder.
Now, take three digits:
720÷9 = 80
Still no remainder is here.
Move to the last digit (0) and apply division.
7200÷9 = 800
No remainder is there.
That means the quotient of, 7200 divided by 9 is 800.
Hence, the quotient of 7200/9 = 800.
Learn more about quotient here:
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POSSIBL
Mariko needs to solve the equation below for D. Which correctly describes the step he should take?
M=
= p
Subtract V from both sides.
Divide both sides by V.
Multiply both sides by V.
O Divide both sides by D.
1
2
which step should I take
Answer:
Divide both sides by V
Step-by-step explanation:
The equation is not well written.
Mariko needs to solve the equation below for D. Here is the equation:
M = DV
For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;
Divide both sides by V
M/V = DV/V
V at the denominator will cancel out the V at the numerator to have:
M/V = D
Rearrange
D = M/V
Therefore, the statement which correctly describes the step he should take is:
Divide both sides by V. Option B is correct.
A jeweler has 160.5 centimeters of gold chain. He will use half of the chain to make a necklace. He will make 5 bracelets with the remaining chain. If each bracelet is the same length, what will be the length of each bracelet in centimeters?
9514 1404 393
Answer:
16.05 cm
Step-by-step explanation:
Each bracelet will be 1/5 of 1/2 of the chain, so is
(1/5)(1/2) = 1/10
of the original length of the chain.
1/10 × 160.5 cm = 16.05 cm . . . length of each bracelet
Slove 4(5x-2)= 2(9x+3)
Answer:
x=7
Step-by-step explanation:
divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.
Answer:
x = 7
Step-by-step explanation:
Firstly, use the distributive property to distribute the 4 and the 2 respectively.
[tex]4(5x-2) = 2(9x+3)[/tex]
[tex]20x-8=18x+6[/tex]
Then, isolate the variable. Start by subtracting 18x from both sides.
[tex]2x - 8 = 6[/tex]
Add 8 to both sides.
[tex]2x = 14[/tex]
Divide both sides by 2.
[tex]x=7[/tex]
HURRY, PLEASE HELP!!!
Answer:
Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.
The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.
Solve for x: 1 over 3 (2x − 8) = 4.
2
6
10
Answer:
the answer is x= 10
Step-by-step explanation:
The sum of 3 consecutive even integers is 48. Find all three inters
Answer: 15 16 17
Step-by-step explanation: Add them together and you should get 48
what are the solutions of the equation below
(x-2)(x+9)=0
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).
Answer:
y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Find |x| when x = – 15.
HELP ME PLEASEE
Answer: 15
Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.
Question 1
Sione just landed a great job as an engineer where he will make $55,000 a year. The
company he will work for guarantees a 3% pay increase each year so it's employees
salaries keep up with inflation. At the end of the 1* year Slone will have made $55,000
dollars.
1. What is the recursive function that will represent this situation?
a. m(t) = m(t - 1) + 0.03, m(1) = 55000
b. m(t) = m(t-1). 0.03, m(1) - 55000
c. m(t) = m(t-1) + 1.03, m(1) - 55000
d. m(t) = m(t-1). 1.03, m(1) = 55000
Answer:
Option (d)
Step-by-step explanation:
If the current salary of Sione is represented by the function m(t - 1),
Next year his salary m(t) gets hike of 3%.
So, the next year salary of Sione will be represented by,
m(t) = m(t - 1) + 3% of m(t - 1)
= m(t - 1) + 0.03 × m(t - 1)
= m(t - 1)(1 + 0.03)
= 1.03m(t - 1)
Since, at the end of year 1 his salary was $55000,
Recursive function will be,
m(t) = 1.03m(t - 1) = 55000
Therefore, Option (d) will be the answer.
The engineers designing the All Aboard Railroad between Boca Raton and Jupiter decide to create parallel tracks through this portion of the railway. To illustrate their plans to the county commission, they use a coordinate plane. The southbound track will have an equation of 2x + 5y = 15. What is the equation of the parallel northbound track that runs through the point (4, – 2)?
Answer:
there are no signs between the x and y and constant
it could be
2x+5y=15
2x+5y=-15
-2x+5y=15
2x-5y=15
for ax+by=c, the equation of a line paralell to that is
ax+by=d where a=a, b=b, and c and d are constants
(for this answer, I'm going to use 2x+5y=15)
given 2x+5y=15, the equation of a line paralell to that is 2x+5y=d
to find d, subsitute the point (4,-2), basically put 4 in for x and -2 for y to get the constant
2x+5y=d
2(4)+5(-2)=d
8-10=d
-2=d
the eqaution is 2x+5y=-2 (Only if the original equation is 2x+5y=-15
pls mark me brainlest
Answer:
2x+ 5y= -2
Step-by-step explanation:
Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.
What is the measure of B?
The measure of the angle B is 74 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Triangle ABC is translated 5 units to the right and 4 units up to create triangle A'B'C'.
If triangle ABC is translated 2 units up and 2 units right, that means that all the vertices of the triangle are translated by the same units 2 up and 2 right.
The angle sum property of a triangle;
80 + 26 + B = 180
B = 180 - 106
B = 74
Therefore, the size and shape of the triangle wouldn't change.
The triangle A'B'C' will still have the same size and shape, and all the sides will have the same length.
Hence, the measure of the angle B is 74 degrees.
Learn more about the triangles;
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Help with math. please
Answer:
B. 1 9/10 (19/10)
Step-by-step explanation:
3 4/5 is equal to 19/5
We would need to divide 19/5 by 2
Make 2 a fraction. 2/1
Flip the number: 1/2
Multiply 19/5 by 1/2
19/10
Simplify.
1 9/10
Hope I helped :)
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X - 6 < -4 please help
Answer:
x<2
Step-by-step explanation:
6 : 4 is equivalent to
Answer:
12 : 8, 18 : 12, 24 : 16, 30 : 20
Step-by-step explanation:
These are the four after 6:4. I didn't know which you needed.
Answer:
3:2
Step-by-step explanation:
If you want to simplify 6:4, it also makes an equivalent equation. To simplify this, we divide by the greatest number that both numbers can be evenly divided by. 6 and 4 can both be divided by 2, which is the biggest number we can divide both numbers by.
6/2=3
4/2=2
The ratio is now simplified/equivalent to 3:2.
I hope this helps...have an amazing day c: