Answer:
-7i or 7i
Step-by-step explanation:
You can't take the square root of a negative number, so the value "i" is automatically taken out. You're now left with i +/- sqrt(35). The square root of 35 now can either be -7 or 7 because of the +/-, so the final answer is -7i or 7i.
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $296. Otherwise, you have to pay your friend $17.
What is the expected value of your bet?
Answer:
False because $296=$296
help pls i don't get the question
Answer:
pretty sure it could
Step-by-step explanation:
Answer:
What it's asking is for 2 angles at different angles of attack, are parallel
Step-by-step explanation:
for example, // these two slashes are parallel because they wont ever touch, it wants you to find if the angles are parallel or not.
The pressure of the
the cell against the
cell wall is called
Answer:
Step-by-step explanation:
Turgor pressure is the force within the cell that pushes the plasma membrane against the cell wall. It is also called hydrostatic pressure, and defined as the pressure measured by a fluid, measured at a certain point within itself when at equilibrium.
A seller of the property listed at $200,000 excepted a 90% offer the home appraised at $185,000 and the buyers obtained a loan for 85% for 30 years at 5% interest what is the first months interest
Answer:
$637.50
Step-by-step explanation:
According to the Question,
Given That, A seller of the property listed at $200,000 excepted a 90% offer the home appraised at $185,000 and the buyers obtained a loan for 85% for 30 years at 5% interestThus, the first months interest is
$200,000 list price x 0.90 = $180,000 contract sales price.
Since lender always uses the less of the appraised value or the contract sales price, use $180,00 for the remainder of the calculations.
$180,000 contract sales price x 0.85 LTV = $153,000 loan. $153,000 loan x 0.05 interest rate = $7,650 annual interest. $7,650 ÷ 12 = $637.50 monthly interest payment for the first month.Answer:
$637.50
Step-by-step explanation:
The appraised value is irrelevant. The lender will consider the lower of the appraised value or the agreed purchase price.
The term of the loan is also irrelevant. It is not an amortization problem.
The first month’s interest is $637.50.
Re-write this subtraction as an ADDITION of signed numbers. 7- (-5) =
Now actually compute 7 - (-5) =
Answer: 12
Step-by-step explanation: Whenever you have a minus a negative in a problem, you can change it to plus a positive.
So we can think of 7 - (-5) as 7 + (+5).
Whenever we have two negatives in a row, we can think of those
negatives as being multiplied together and a negative times a negative
will always result in a positive.
So just add 7 + 5 to get 12.
Solve (x - 5)2 = 3.
Answer:
x = 5±√3
Step-by-step explanation:
Equation: (x-5)² = 3
Step 1: Take the square root of both side of the equation
√(x-5)² = ±√3
x-5 = ±√3
Step 2: add 5 to both side of the equation
x-5+5 = 5±√3
x = 5±√3
Hence, from the options above, the right answer is
B. x = 5±√3
What is the rate of change of the line on the graph
Answer:
A. ¼
Step-by-step explanation:
Rate of change (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Using two points on the line, (4, 1) and (-4, -1), find the rate of change using the formula stated above:
Where,
[tex] (4, 1) = (x_1, y_1) [/tex]
[tex] (-4, -1) = (x_2, y_2) [/tex]
Plug in the values
Rate of change (m) = [tex] \frac{-1 - 1}{-4 - 4} [/tex]
= [tex] \frac{-2}{-8} [/tex]
= [tex] \frac{1}{4} [/tex]
Rate of change = ¼
2. Determine the number of all possible diagonals drawn for polygon having a. 7 sides b. 10 sides c. n - sides
Answer:
the number of diagonals can be found by n *n minus 3 by 2
a) the number of all possible diagonals drawn for having 7 side = 14 diagonals
b) the number of all possible diagonals drawn for having 10 side=35 diagonals
The University of Montana ski team has thirteen entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the thirteen team entrants achieve first, second, and third places
Answer:
1716 ways
Step-by-step explanation:
Given that :
Number of entrants = 13
The number of ways of attaining first, second and third position :
The number of ways of attaining first ; only 1 person can be first ;
Using permutation :
nPr = n! ÷(n-r)!
13P1 = 13! ÷ 12! = 13
Second position :
We have 12 entrants left :
nPr = n! ÷(n-r)!
12P1 = 12! ÷ 11! = 12
Third position :
We have 11 entrants left :
nPr = n! ÷(n-r)!
11P1 = 11! ÷ 10! = 11
Hence, Number of ways = (13 * 12 * 11) = 1716 ways
What are the solutions of the quadratic equation 49x2 = 9?
A. x = 1/9 and x = -1/9
B. x = 3/7 and x = -3/7
C. x = 3/4 and x = -3/4
D. x = 9/49 and x = -9/49
Brainliest if you explain how. got stumped on this one
Answer:
B
Step-by-step explanation:
49x^2=9
solve for x
x^2= 9/49
x=± [tex]\sqrt{9/49\\}[/tex]
which is x = ±3/7 (B)
Answer: b x=1/9 and x=-1/9
Step-by-step explanation:
Which one of the following fractions is the largest? 3 /10 , 3 /2 , 1 /10 ,4/5, 10 /3 2 /3 , 10 /1 ,5 /4
Answer:
10/1 is the largest because 10÷1 = 10
Answer:
10/1 = 10 and is by far the biggest value in the list
Step-by-step explanation:
The greatest number of elements possible in
Answer:
4
9
Step-by-step explanation:
If X has 5 elements, and Y has 4 elements, and all 4 of Y's elements are the same as 4 of X's elements, then the intersection of the sets has 4 elements.
If X has 5 elements and Y has 4 elements, and they are all different, then the union of the sets has 9 elements.
Answer:
4
9
The chance of winning the race of the horse A is 1/15 and that of horse B is 1/6. What is
the probability that the race will be won by A or B.
Answer:
7/30
Step-by-step explanation:
P = 1/15 + 1/6 = (2+5)/30 = 7/30
Consider the quadratic function F(x)=-x^2-x+20
The line of symmetry has the equation ?
Answer:
[tex]x = - \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]x = \frac{ - b}{2a} = \frac{1}{ - 2} [/tex]
ASAP!!!!!!!!! Please show process!!! Using law of sines!!!!!!!! Thank you so much
Answer:
the answers are on the picture but the numbers may be rounded
The pre-image, ΔSTU, has undergone a type of transformation called a rigid transformation to produce the image, ΔVWX. Compare the measures of the triangles by dragging the image to the pre-image.
Which measures are equal? Check all that apply.
ST = VW
SU = VX
TU = WX
m∠SUT = m∠VXW
m∠TSU = m∠WVX
m∠UTS = m∠XWV
Answer:
its all of them
Step-by-step explanation:
since its the same shape as the old one all the measurements are the same.
Answer:
its all of them
Step-by-step explanation:
There are three uncertain (random) variables in this problem. Choose the variables that should represent uncertainty in this model.
a. Yield
b. Initial Research and Development Cost
c. Pre-Orders Picked up
d. What type of fruit to grow
e. Pre-Orders Placed
f. Salvage Price
Answer:
a. Yield
c. Pre-Order picked up
e. Pre-Orders placed.
Step-by-step explanation:
Uncertain random variables are those over which the farmer has no control. These variables are uncontrollable and there can be no prediction for it. The farmer has no control over the yield produced. He can choose what type of fruits to grow and input method but he has no control over output generated.
A ball is thrown vertically upward with an initial velocity of 19 m/s. Its height, h(t)metres after t seconds, is given by the equation h(t) = -3t2 + 20t + 2.0.
The time taken by the ball to reach the maximum height is ________ seconds. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
There are 2 different ways to do this: calculus and by completing the square. In this particular instance, calculus is WAY easier, and since I don't know for what class you are doing this, I'll do both ways. First the calculus way. We know the position equation, and the first derivative of the position is velocity. We also know that when the velocity is equal to 0 is when the object is at its max height. So we'll find the derivative first, then solve it for t:
If [tex]s(t)=-3t^2+20t+2[/tex] then the first derivative is
v(t) = -6t + 20 Solving for t requires that we set the velocity equal to 0 (again, this is where the object is at its max height), so
0 = -6t + 20 and
-20 = -6t so
t = 3.3 seconds. Now that we know that at 3.3 seconds the object is at its highest point, we sub that time into the position function to see where it is at that time:
s(3.3) = [tex]-3(3.3)^2+20(3.3)+2[/tex] and
s(3.3) = 35.3 meters.
Now onto the more difficult way...completing the square. Begin by setting the position function equal to 0 and then move over the constant to get:
[tex]-3t^2+20t=-2[/tex] Since the leading coefficient is not a 1 (it's a 3), we have to factor out the 3, leaving us with:
[tex]-3(t^2-\frac{20}{3}t)=-2[/tex] Now the rule is to take half the linear term, square it, and add it to both sides. Our linear term is [tex]\frac{20}{3}[/tex] and half of that is [tex]\frac{20}{6}[/tex]. Squaring that:
[tex](\frac{20}{6})^2=\frac{400}{36}=\frac{100}{9}[/tex]. We will add that in to both sides. On the left it's easy, but on the right we have to take into account that we still have that -3 sitting out front, refusing to be ignored. So we have to multiply it in when we add it to the right. Doing that gives us:
[tex]-3(t^2-\frac{20}{3}t+\frac{100}{9})=-2-\frac{100}{3}[/tex] We will clean this up a bit now. The reason we do this is because on the left we have created a perfect square binomial which will give us the time we are looking for to answer this question. Simplifying the right and at the same time writing the perfect square binomial gives us:
[tex]-3(t-\frac{20}{6})^2=-\frac{106}{3}[/tex] Now the last step is to move the constant back over and set the quadratic back equal to y:
[tex]y=-3(t-\frac{20}{6})^2+\frac{106}{3}[/tex]. The vertex of this quadratic is
[tex](\frac{20}{6},\frac{106}{3})[/tex] where
[tex]\frac{20}{6}=3.3[/tex] as the time it takes for the ball to reach its max height of
[tex]\frac{106}{3}=35.3[/tex] meters.
I'd say if you plan on taking calculus cuz you're not there yet, you'll see that many of these types of problems become much simpler when you know it!
Please answer i need help please i will give you brainlest please
Answer:
14) 4x+10=8x-26 (corresponding angles are equal)
4x-8x=-26-10
-4x=-36
x= -36/-4= 9
x=9
15) perimeter of rectangle= 2(l+b)
2( l+ [tex]\frac{2l}{3}[/tex]) = 40m
2l+ [tex]\frac{4l}{3}[/tex] =40
Take LCM as 3
[tex]\frac{2l}{1}[/tex] * [tex]\frac{3}{3}[/tex] + [tex]\frac{4l}{3}[/tex] =40
[tex]\frac{6l+4l}{3}[/tex] = 40
[tex]\frac{10l}{3}[/tex] = 40
10l=40*3
10l = 120
l= 120/10 =12 cm
l=12cm
b= 2/3 *12 = 8cm
16) 2:3:4
It can be written as 2x+3x+4x
sum of angles of a triangle =180 degree
so 2x+3x+4x=180
9x=180
x=180/9=20 degree
1st angle=2x=2*20= 40 degree
2nd angle= 3x=3*20 =60 degree
3rd angle= 4x=4*20= 80 degree
17) sum of interior angles of a pentagon is 540 degree
so, 125+88+128+60+x=540 degree
401 +x= 540 degree
x=540-401= 139 degree
Hope this helps
Please mark me as brainliest
Find the total amount that must be repaid on the following note described.
$8,593 borrowed at 15.5% simple interest
What is the total amount to be repaid 3 years, 125 days later? (Round your answer to the nearest cent.)
Answer:
simple interest=principal x rate x time÷100
amount borrowed=$8593
125days to year
365 days=1 year
125=125/365x1
0.3424657534246575year
in all there is 3+0.3424657534246575=3.3424657534246575years
I=$8593 x 15.5 x 3.3424657534246575÷100
I= $4451.8802739726026941125
total amount to be repaid=amount borrowed+interest
$8593+$ 4451.8802739726026941125
$13044.8802739726026941125
rounded to the nearest cent=$13045.00
Decide if each answer will be less than or greater than the original number. Drag each to the correct category
250% of 18
35% of 300
62% of 182
300% of 250
89% of 525
120% of 72
That's a question about percentage.
Let's imagine that we want to know how much is 90% of 200. To do this calculation, we should multiply 200 by 90 and then divide the result by 100. We do that because 90% is the same thing that [tex]\frac{90}{100} =0,9[/tex]. So, 90% of 200 is equal to:
[tex]\frac{200\cdot90}{100} =\\\\\frac{18000}{100} =\\\\180[/tex]
Now, imagine that you would like to know how much is 100% of 999. First, we multiply 999 by 100 and divide the result by 999. So, 100% of a number is equal to itself. That's a very important information, because it's possible to understand this:
If the percentage is less than 100%, the result is less than original number.If the percentage is equal to 100%, the result is equal to the original number.If the percentage is greater than 100%, the result is greater than original number.Now, we can solve our problem! \o/
The options that the percentage is less than 100% are: 35% of 300, 62% of 182 and 89% of 525. Therefore, their answers will be less than the original number.
And, the option that the percentage is greater than 100% are: 250% of 18, 300% of 250 and 120% of 72. So, their answers will be greater than the original number.
On the image, you can see the answer in a table.
I hope I've helped. ^^
Enjoy your studies! \o/
[tex]\frac{d}{dx} (2^x)=\\[/tex]
Hello,
[tex]\dfrac{d(2^x)}{dx} =2^x*ln(2)\\[/tex]
Which expression is equivalent to (6x5z)3/4x4z2?
Hello!
(6x⁵z)³/4x⁴z² =
= 216x¹⁵z³/4x⁴z² =
= 54x¹¹z
Good luck! :)
A right rectangular prism has a length of 5 centimeters, a width of 8 centimeters, and a height of 4 centimeters. What is the volume of the prism?
Answer:
volume of prism is 160 cm
find the LCM of ;
(1+4x+4x2-16x) and (1+2x-8x3-16x4)
Answer:
16x4−4x2+4x−116x4−4x2+4x−1
=16x4−(4x2−4x+1)=16x4−(4x2−4x+1)
=(4x2)2−(2x−1)2∵a2−2ab+b2=(a−b)2=(4x2)2−(2x−1)2∵a2−2ab+b2=(a−b)2
=(4x2−2x+1)(4x2+2x−1)∵a2−b2=(a−b)(a+b
Step-by-step explanation:
An assignment is worth 300 points for each day the assignment is late the professor deduct 10 points from the assignment and grade
Answer:
Eh whats the question? it takes 30 days for the assignemnt to be zero if that is the question.
Step-by-step explanation:
Answer:
points = 300 - 10 L
x = 300 - 10Y
x = points, Y = days late
Step-by-step explanation:
A license plate consists of a letter, followed by three numbers, followed by another
letter. Due to possible confusion, the letters I and O are not used. Repetition is not
allowed.
How many different license plates are possible?
This is one single number that's slightly smaller than 400 thousand.
======================================================
Explanation:
There are 26 letters in the english alphabet. We don't use letters i or o, so we have 26-2 = 24 choices for that first slot.
Then we have 10 choices for the second slot because there are 10 single digits 0 (zero) through 9.
After making the selection for the second slot, we have 10-1 = 9 choices left for the third slot. The fourth slot has 10-2 = 8 digits to pick from. The subtraction occurs because we cannot reuse the digits.
Finally, the last slot will be a letter. We have 24-1 = 23 letters left to pick from.
Overall, we have 24*10*9*8*23 = 397,440 different license plates possible.
--------------------
Extra info (optional section)
You may be wondering "why do we multiply those values?". Well consider a simple example of having only 2 slots instead of 5.
Let's say the first slot is a letter A to Z, excluding letters i and o. The second slot will be the digit from 0 through 9.
If you make a table with 24 rows and 10 columns, then you'll have 24*10 = 240 cells overall. Notice the multiplication here. The 24 rows represent each letter, and the 10 columns are the digit numeric digits.
Each inner cell is a different two character license plate. For example A5 is one such plate. This idea can be extended to have 5 characters.
Can someone do 1-15 odds
Answer:
1: -80
3: 21.7
5: inf many solutions? (i cant do that one without a problem)
7: 21
9: - 2/3
11: 6 and 3/8
13: 0.4
15: inf many? (cant solve again)
Step-by-step explanation:
Answer the following.
(a) Find an angle between and that is coterminal with .
(b) Find an angle between and that is coterminal with . Give exact values for your answers.
I believe this is your question:
A.) find an angle between 0 degrees and 360 degrees that is coterminal with 570 degrees.
Answer:
210 degrees
Explanation:
Coterminal angles begin on the same initial side and end or terminate on the same side as an angle. Example 45 degrees and 405 degrees are coterminal angles because they both begin and end on the same side.
To find an angle between 0 and 360 that is coterminal with 570 degrees, w simply subtract 360 degrees from 570, hence:
570-360=210 degrees
570 degrees is coterminal with 210 degrees
Does anyone know the awnser please
Answer:
please which level is this
and also is it core maths or elective math
