Step-by-step explanation:
The answer should be A.
We can start with the fact that x = cos t, y = sin t traces the unit circle counterclockwise once every 2π radians, starting at (1, 0).
By starting at t = π instead of t = 0, we move the starting point to (-1, 0) without changing the direction.
All 5 options have the correct starting point (except D) and number of rotations, but only option A is counterclockwise.
A ball is thrown into the air with an initial velocity of 22 meters per second.
The quadratic function ℎ() = −4.9
2 + 22 + 5.5 represents the height of
the ball above the ground, in meters, with respect to time , in seconds.
Part A: Determine ℎ(3) and explain what it represents.
Answer:
27.4 metres
Step-by-step explanation:
Um, your question is missing the x's. I'm going to assume, -4.9x^2+22x+5.5
= -4.9(3)^2+22(3)+5.5
= 27.4
At 3 seconds the ball is 27.4 metres above the ground.
Find the distance FG between the points F(0,-7) and G(-6,-3) . Round your answer to the nearest tenth, if necessary
Answer:
7.2
Step-by-step explanation:
What are the solutions of this quadratic equation?
x2 − 10x = -34
The roots of the equation are imaginary numbers, 5+6i, 5-6i.
What is a Quadratic Equation?A quadratic equation is what can be written in the form of ax²+bx+c=0
The quadratic equation is
x² -10x = -34
x² -10x +34 = 0
The roots formula for a quadratic equation is given by
[tex]x = \dfrac{ -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
Here a = 1
b = -10
c = 34
The roots of the equation are
[tex]x = \dfrac{ 10 \pm \sqrt{(-10)^2 -4*34}}{2}[/tex]
[tex]\rm x = \dfrac{ 10 \pm \sqrt{-36}}{2}\\\\\\x = 5 \pm 6i[/tex]
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The interquartile is the range of the middle of what percentage data?
A clylinder has a height of 12 centimeters and a radius of 19 centimeters. What is its volume?
13602. 48 cm³
Step-by-step explanation:Hi there !
Cylinder volume formula
V = π·r²·h
π ≈ 3.14
replace
V = 3.14×(19cm)²×12cm
= 3.14×361cm²×12cm
= 13602. 48 cm³
Good luck !
I need to know what is rational and what isn't
Answer:
Irrational
Rational
Rational
Rational
Irrational
Step-by-step explanation:
construction company builds an average of 48 houses per year. How many houses per month does the company build?
2. Write a quadratic equation with roots (-2,0) and (4,0) that has a minimum value
of -36
Answer:
f(x) = 4*(x+2)*(x-4) factorized formula
f(x) = 4x^2 - 8x - 32 polynomical formula
Step-by-step explanation:
Lets assume the factorized formula of a quadratic function:
f(x) = a*(x-x1)^2 * (x-x2)^2
where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:
f(x) = a*(x+2)*(x-4)
because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:
Xv=(x1+x2)/2
Xv=(-2+4)/2
Xv=1
Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.
Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.
-36 = a*(1+2)*(1-4)
-36 = a*(3)*(-3)
-36 = a*(-9)
4 = a
Finally the equation is:
f(x) = 4*(x+2)*(x-4)
if we expand this function we find the polynomical form of this function
f(x) = 4x^2 - 8x - 32
HURRY PLEASE HELP what’s 0+0?
Answer:
it's very simple its 0 only
pls mark as brainliest
how do i find the square root of pi
Answer:
3.141592654...
Step-by-step explanation:
it just keeps going and going and never stops.
please give me brainliest
Latoya bought 16 pounds of flour for $9.
How many pounds of flour did she get per dollar?
pounds per dollar
Answer:
I think she gets 1 pound per 1.70$
Step-by-step explanation:
16/9 is 1.7
Find the mean, u, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. n=676; p=0.7
Answer:
[tex]\mu=473.2[/tex]
Step-by-step explanation:
Binomial Distribution
The binomial distribution is commonly used to model the number of successes in a sample of size n drawn with replacement from a population of size N.
The mean value of a binomial distribution is given by:
[tex]\mu=np[/tex]
Where b is the number of trials and p is the success probability for each trial.
We need to find the mean value with parameters n=676 and p=0.7, thus:
[tex]\mu=676\cdot 0.7[/tex]
[tex]\boxed{\mu=473.2}[/tex]
Find the area of the rectangle (Let h = 24 ft and w= 29 ft)
Answer:
The answer is 696 ft.
Step-by-step explanation:
When you multiply the formula (LxW) you get the answer to the equation.
Answer:
696 ft
Step-by-step explanation: Multiply both of them :D
A bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. A random sample of homeowners selected from this area showed that they pay an average of per month for their mortgages. The population standard deviation of such mortgages is . a. Find a confidence interval for the mean amount of mortgage paid per month by all homeowners in this area. Round your answers to two decimal places. 1538.51 to 1627.49 dollars b. Suppose the confidence interval obtained in part a is too wide. Select all of the ways the width of this interval can be reduced.
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
The 97% confidence interval is [tex]1528 < \mu < 1612 [/tex]
b
Option A and Option D are correct
Step-by-step explanation:
From the question we are told that
The sample size is n = 119
The sample mean is [tex]\$ 1570[/tex]
The population standard deviation is [tex]\sigma = \$ 211[/tex]
Generally given that the confidence level is 97% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 97 )\%[/tex]
=> [tex]\alpha = 0.03[/tex]
From the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.17[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
[tex]E = 2.17* \frac{211}{\sqrt{ 119 } }[/tex]
=> [tex]E = 41.98 [/tex]
Generally the 97% confidence interval is mathematically represented as
[tex]\= x - E < \mu < \= x + E[/tex]
=> [tex]1570 - 41.98 < \mu < 1570 + 41.98 [/tex]
=> [tex]1528 < \mu < 1612 [/tex]
Generally looking at confidence interval we see that the width is dependent on the size of the margin of error.
Generally the margin error is directly proportional to the critical value of [tex]\frac{\alpha }{2}[/tex] which increases when the confidence level increases and vise versa
Also the margin error is inversely proportional to the square root of sample size
Hence to reduce the width of the confidence interval we need to lower the confidence level and increase the sample size
Red = R, Orange = O, Yellow = Y, etc; ALL CAPS
Answer:
I don't know what your asking, but if your asking about colors here you go.
Step-by-step explanation:
Green = G
Blue = B
Black = BL
Yellow = Y
Orange = O
Grey = GR
Purple = P
Red = R
Pink = PI
Thats all that I can think of right now
Jaun has $10 to spend. He needs $13 to purchase the supplies.explain how to find the amount of money juan is short
Answer:
$10 - $13 is -3, which menas he is $3 short.
Step-by-step explanation:
Answer:
take the amount Jaun has ($10) and subtract it from the amount he needs ($13). you will get 3$ which is the amount of money he is short.
Step-by-step explanation:
Hope this helps you
A bird park has black and white birds in the ratio of 8 to 2 as shown below.
Which is another ratio that can describe the black to white birds?
04 to 1
0 1 to 4
1 to 7
7 to 1
Anybody know the answers to this frl it’s due in 15 mins
Answer:
4. j(11) = 8
I think it is linear
5. g(-3) = 18
No, it's a parabola since x is to the second power
6. f(-7) = 5
No, I think it's an absolute value function
7. h(0) = 13
I think it is linear, just the slope is 0
Step-by-step explanation:
Answer:
Look below.
Step-by-step explanation:
4.)
j(11) = 19 - 11
j(11) = 8
The equation is linear.
5.)
g(-3) = 2(-3)²
g(-3) = 2(9)
g(-3) = 18
The equation is not linear. It is quadratic.
6.)
f(-7) = |-7 - 1| - 3
f(-7)= |-8| - 3
f(-7) = 8 -3
f(-7) = 5
The equation is not linear. It is an absolute value function.
7.)
h(0) = -13
The equation is linear.
write the side length of the square root. is the side length a rational or irrational number
Answer:
10 it is rational
Step-by-step explanation:
I NEED HELP OR I FAIL PLEASE HELP ME!!!!
Answer:
The answer is A, ST and WX
Step-by-step explanation:
The answer is A because ST and WX are the same size and shape, just mirrored.
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.
A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.
Use the drop-down menus to complete each statement.
The amplitude of the function is
.
The period of the function is
.
The graph has a vertical shift of
units.
Answer:
The amplitude of the function is 48
The period of the function is 28
The graph has a vertical shift of 48 units.
Step-by-step explanation:
just took the quiz
Sketch 9 red counters and 4 yellow counters. How many zero pairs can you make ? How many counters do you have after you remobe the zero pira ? What do they represent ?
Answer:
You have 5 yellow counters left because you can make 4 zero pairs, the zero pairs represent the even amount that when they get added together they cancel out
Step-by-step explanation:
Yellow-1,2,3,4,
Red-1,2,3,4,5,6,7,8,9
Cancel out-1,2,3,4
Left with-5,6,7,8,9
choose the correct decimal for the expression. seven and ten-thousandths.......7.10, 0.710, 7.0010, 7.010......we chose 7.0010 and it was wrong. help
Answer:
7.010 if it's wrong im sorry
An electrician needs 6 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 3/4 of a roll of wire?
Answer:
1/8 room
Step-by-step explanation:
(3/4 roll)/(6 rolls/room) = (3/4)(1/6) rooms = 1/8 rooms
With 3/4 roll of wire, the electrician can wire 1/8 of a room.
3) For the ordered pairs given in the table, is the relation a function?
X
0,1,2,1 Y4,2,6,5
Answer:
Relation
Step-by-step explanation:
The domains, 0,1,2,1 repeat! (the 1's repeat twice:)
No it is not a function.
In the x-values there are two ones. Therefore it cannot be a function.
Which of the following parent functions has a domain and range of all real
numbers?
A. Cubic
B. Reciprocal
C. Quadratic
D. Absolute value
Parent functions has a domain and range of all real numbers is a Cubic function
Given :
We need to find the parent function that has a domain and range of all real
numbers.
Domain is the set of all x values and range is the set of y values.
For any cubic function there is no restriction for x
For each value of x there is a y value
So, domain and range of cubic function is set of all real numbers
For reciprocal function , there will be x in the denominator . So there will be some restriction for x.
For any quadratic function , domain is set of all real numbers. For quadratic we get U shaped graph . It means there is some restriction for y.
So range cannot be real numbers
For absolute value function , we get V shaped graph . so there is some restriction for y. Range cannot be all real numbers.
parent functions has a domain and range of all real numbers is a Cubic function
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PLEASE HELP NEED THIS DONE ASAP
Answer:
Equation: $7 + $1.25t = $43.25
Solving:
$7 + $1.25t = $43.25
$1.25t = 36.25
$1.25t = 36.25
t = 29
So the answer is 29 minutes.
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3
3
Right triangle similarity
What is the value of x
Answer:
21
Step-by-step explanation:
The length of the other leg (x) is 12 cm.
We have,
To find the length of the other leg, we can use the Pythagorean theorem.
Using this theorem, we can set up the following equation:
x² + 5² = 13²
Simplifying the equation:
x² + 25 = 169
Subtracting 25 from both sides:
x² = 144
Taking the square root of both sides:
x = ±12
Since length cannot be negative in this context, the length of the other leg (x) is 12 cm.
Thus,
The length of the other leg (x) is 12 cm.
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The complete question:
In a right triangle, the length of one of the legs is 5 cm, and the length of the hypotenuse is 13 cm.
What is the length of the other leg, represented as x?
HURRY! PLEASE HELP!!! 3 times a number plus 5 is at least -10 and less than 26
Answer:
-5<x<7.
Step-by-step explanation:
let the number be represented by 'x'
3x + 5 > -10 < 26
-10<3x+5<26
-10 < 3x +5
-10 -5 < 3x
-15< 3x
-15÷3 < x
-5 < x
and
3x+5 < 26
3x<26-5
3x < 21
x < 21÷3
x< 7
answer is -5<x<7
Answer:
[⁵/3,7[
Step-by-step explanation:
10 ≤ 3x + 5 < 26
10-5 ≤ 3x < 26-5
⁵/3 ≤ X <7
[ 5/3 , 7 [
How do we write this in scientific notation?