Answer:
for quadratic equation 1
y^2-10y+21=0
Step-by-step explanation:
y^2-7y-3y+21=0
y(y-7)-3(y-7)=0
(y-7)(y-3)=0
y-7=0,y-3=0
y=7,y=3
y=(3,7)
for quadratic equation 2
16p^2-8p+1=0
16p^2-4p-4p+1=0
4p(4p-1)-1(4p-1)=0
(4p-1)twice=0
4p-1=0,4p-1=0
4p=1
p=1/4 twice
for quadratic equation 3
x^2-400=0
x^2=400
x=√400
x=20
for quadratic equation 4
-16m^2-8m-1=0
multiply the equation by -
16m^2+8m+1=0
16m^2+4m+4m+1=0
4m(4m+1)1(4m+1)=0
4m+1=0 twice
m=-1/4 twice
for quadratic equation 5
-3n^2+75=0
divide both side by -3
-3n^2/-3=-75/-3
n^2=25
n=√25
n=5
To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.
Answer:
A
Step-by-step explanation:
We want to solve the equation:
[tex]5\sin(2x)=3\cos(x)[/tex]
To do so, we can rewrite the equation.
Recall the double-angle identity for sine:
[tex]\sin(2x)=2\sin(x)\cos(x)[/tex]
By substitution:
[tex]5\left(2\sin(x)\cos(x)\right)=3\cos(x)[/tex]
Distribute:
[tex]10\sin(x)\cos(x)=3\cos(x)[/tex]
We can subtract 3cos(x) from both sides:
[tex]10\sin(x)\cos(x)-3\cos(x)=0[/tex]
And factor:
[tex]\cos(x)\left(10\sin(x)-3\right)=0[/tex]
Hence, our answer is A.
*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0 and we cannot divide by 0. Hence, we should subtract and then factor.
Answer:
A. cosx(10sinx-3)=0
Step-by-step explanation:
5(2sinxcosx)=3cosx
10sinxcosx-3cosx=0
cosx(10sinx-3)=0
Which expression can you substitute in the indicated equation to solve 3x − y = 5, x + 2y = 4 ?
A 2y − 4 for x in 3x − y = 5
B 3x − 5 for y in x + 2y = 4
C 3x − 5 for y in 3x − y = 5
D 4 − x for y in 3x − y = 5
Answer:
3x−y=5;x+2y=4
x=2 and y=1
Step-by-step explanation:
How many more students arrive by school bus than by car?
Answer:
125 more students arrive buy school bus than by car
Step-by-step explanation:
20% + 25% + 15% = 60%
Bus
100 - 60 = 40% ( bus = 40%)
40% = 0.4
0.4 × 500 = 200 (200 students get to school by the school bus)
Car
15% = 0.15
0.15 × 500 =
car = 75 (75 students get to school by car)
difference
200 - 75 = 125 students (125 more students get to school on the school bus then by a car)
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 months. If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries
Answer:
They should guarantee the lifetime of their batteries for 32 months.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 36 months and a standard deviation of 2 months.
This means that [tex]\mu = 36, \sigma = 2[/tex]
If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?
The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-2.054 = \frac{X - 36}{2}[/tex]
[tex]X - 36 = -2.054*2[/tex]
[tex]X = 31.89[/tex]
Rounding to the closest month, 32.
They should guarantee the lifetime of their batteries for 32 months.
Please help also how did u get ur answer
Your friends are purchasing a house for $182,000.
If they put 20% down, how much will they borrow for their mortgage?
The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?
How much would be paid on interest over the life of the loan>
Answer:
YES SIR Answer is b
Step-by-step explanation:
NEED HELP IN FINDING AREA
Answer:
492 yd^2
Step-by-step explanation:
Way 1: 250 + 242 = 492
Way 2: 800 - 132 - 176 = 492
Is 2: 8/3 and 2/3: 6 proportional.
yes or no?
Answer:
No
Step-by-step explanation:
first one
2:8/3
Multiply by 3
6:8
Divide by 2
3:4
second one
2/3:6
Multiply by 3
2:18
Divide by 2
1:9
1:9 =\= 3:4
No
What is the range of y = csc^-1(x) ?
Answer:
Top right option
[-pi/2,0) and (0,pi/2)
Step-by-step explanation:
Edge 2021
I have nothing to do
Answer:
ok cool, bro'
Step-by-step explanation:
amazing
Answer:
paint
clean your room
call some friends
find a new hobby
bake/cook
re-do your room
make a wishlist
do some skincare
start learning a new language
start a new netflix series
bike ride/skate/drive
5 grams = centigigrams
Answer:
500
Step-by-step explanation:
Find the volume of the
rectangular prism.
3 cm
9 cm
7 cm
V = [?]
Answer:
Step-by-step explanation:
V = L * W * D
V = 9 * 7 * 3
V = 189 cm^3
Answer: 189
Step-by-step explanation: 3*9*7
I’ll give brainliest and 100 points
Answer:
Step-by-step explanation:
I first added 13 and 8 to get 21
After that I do 7.5*21 to get 157.5
Then I multiplied 2.5 by 8 to get 20. But it is a triangle so I have to divide by 2 to get 10
I add 10+10+157.5=20+157.5=177.5
177.5 units²
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
PLEASE HELP QUICK I NEED IT TO PASS
Answer:
Its 81
Step-by-step explanation:
whats the answer to this please
bubuoin ba ng salita yan
There are 13 flavors at the soda machine, and anyone can choose 6. A sign says we are only allowed to use one of each flavor. You decide to grab a cup and fill it up with your favorite flavors at random (it’s all going to the same place, right?). How many possible soda mixtures can you make?
Answer:
1716 soda mixtures
A person can choose in 1716 different ways.
What is combination?A combination is a way of selecting items from a collection where the order of selection does not matter.
Given that there 13 flavors at a soda station, a person has to choose 6 out of this,
We need to find how many possible soda mixtures can you make,
So, using here the concept of combination,
ⁿCₓ = n! / x!(n-x)!
Here, n = 13 and x = 6,
So,
¹³C₆ = 13! / 6!(13-6)!
= 13! / 6! × 7!
= 13 × 12 × 11 × 10 × 9 × 8 × 7! / 6! × 7!
= 13 × 12 × 11 × 10 × 9 × 8 / 6!
= 13 × 12 × 11 × 10 × 9 × 8 / 720
= 1716
Hence a person can choose in 1716 different ways.
Learn more about combination click;
https://brainly.com/question/31596715
#SPJ2
Help me please. I’m having trouble. NO SCAM LINKS.
9514 1404 393
Answer:
6. 4
7. 36
Step-by-step explanation:
The given conditions in each case allow you to conclude that the triangles are congruent. Corresponding parts of congruent triangles are congruent.
__
6. YX = YZ = 4
7. Angle XWY is congruent to angle ZWY, so is 18. Angle XWZ is the sum of those two angles, so ...
∠XWZ = ∠XWY +∠ZWY = 18 + 18
∠XWZ = 36
Some one help please
Answer:
subtracting 14 from sides of the number sentence
Step-by-step explanation:
14 + n = 84
Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.
Answer: subtracting 14 from sides of the number sentence
Find the absolute maximum and minimum values of f on the set D. f(x, y) = x4 + y4 − 4xy + 2, D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ 2}
Answer:
Absolute maximum at (3,0)
Absolute minimum at (1,1)
Step-by-step explanation:
Given - f(x, y) = x⁴ + y⁴ − 4xy + 2, D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ 2}
To find - Find the absolute maximum and minimum values of f on the set D.
Proof -
Given that, f(x, y) = x⁴ + y⁴ − 4xy + 2
Now,
Differentiate f(x,y) with respect to x and y , we get
[tex]f_{x}(x,y)[/tex] = 4x³ - 4y
[tex]f_{y}(x,y)[/tex] = 4y³ - 4x
Now,
For the critical point, put [tex]f_{x}(x,y)[/tex] , [tex]f_{y}(x,y)[/tex] = 0
we get
4x³ - 4x = 0
⇒x = 0, -1, 1
but given the range of x is 0 ≤x ≤ 3
⇒x = 0, 1
⇒y = 0, 1
∴ we get
2 critical points (x,y) = (0,0) , (1,1)
Now,
Put the values of x and y in f(x,y), we get
f(0,0) = 0 + 0 - 0 + 2 = 2
f(1,1) = 1 + 1 - 4 + 2 = 0
Now,
for the max and min values, finding the critical value is not enought, we have to find the values in the domain also.
Given domain is 0 ≤ x ≤ 3, 0 ≤ y ≤ 2
So, we have to check the values at the rectangle that have the coordinates
(0,0), (0,2), (3,2), (3,0)
Now,
f(0,0) = 0 + 0 - 0 + 2 = 2
f(0,2) = 0 + 16 - 0 + 2 = 18
f(3,2) = 81 + 16 - 24 + 2 = 75
f(3,0) = 81 + 0 - 0 + 2 = 83
∴ we get
Absolute maximum at (3,0)
Absolute minimum at (1,1)
15 - a = 17 what is a?
Answer:
a = -2
Step-by-step explanation:
15-a =17
a=15 - 17
a=-2
Answer:
hi
Step-by-step explanation:
-a=17-15
-a=2
have a nice day
1. Graph the function on the coordinate plane.
(a) What are the x-intercepts?
(b) What is the y-intercept?
(c) What is the maximum or minimum value?
Answer and step-by-step explanation:
On the graph, it shows no kind of function, all it shows is the coordinate plane. That means that it has no x-intercept, no y-intercept, and has no minimum/maximum. Otherwise, there is not enough information to graph it.
estimate the following sum by rounding each number to the nearest 10
plz
Answer:
184
Step-by-step explanation:
129.5 + 34.62 + 19.1
130 + 35 + 19
184
Consider the equation:
y=-x+4
Identify the slope and y-interce
HELP ASAP WILL GIVE BRAINLIEST PLS!!!!
How can you use probability to understand why events happen or do not happen?
ANSWER:
By determining the number of possible outcomes, we have to examine many reasons behind the events. When examining the reasons behind these events we will eventually find a pattern. This pattern is what tells us how often something may or may not happen. By knowing how often something may or may not happen we can determine when it will reoccur in the future.
Step-by-step explanation:
In a bag of red and green Holiday M&M’s there are 40 red M&Ms for every 100 M&Ms. How many red M&M’s are in the bag if there are 300 M&M’s total?
Answer:
if there are 300 m&m's there will be 120 red
Write the new equation if the graph of f(x)= 4x^2 + 3 is
translated up 4 units.
helppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeee itssss urgentttttttttttttttttttttttttttttttttttttttttt
Answer:
the surface area S of the red solid is 90m^2
Step-by-step explanation:
The computation of the surface area of the red solid is shown below:
First find the scale factor i.e.
= 6 ÷ 4
= 1.5
Now the surface area of the red solid is
= 40 × 1.5 × 1.5
= 90m^2
Hence, the surface area S of the red solid is 90m^2
The same would be considered
What is the precent of decrease from 5,000 to 50?
Answer:
-99%
Step-by-step explanation:
5000-99%=50
plz mark me as brainliest.
Answer:
10 percent
Step-by-step explanation:
5,000 x .01 = 50
Marty has 1 dozen eggs. He needs 4 eggs to bake a cake.How many cakes can he bake.
If you see this your lucky.
You will get 80 points if you answer this.
This is easy
Answer:
3
Step-by-step explanation:
12 didved by 4 is 3
Answer:
3 cakes
Step-by-step explanation:
3 cakes can be bake with dozen if eggs
Please help also how did u get ur answer
Your friends are purchasing a house for $182,000.
If they put 20% down, how much will they borrow for their mortgage?
The bank agreed to an APR of 3.15% for a 15 year mortgage. According to Excel, the monthly mortgage payment would be $1016.02. If your friends accept this loan, how much will they pay in total over the lifetime of the loan?
How much would be paid on interest over the life of the loan?
Answer:
Monthly Payment $2,741Monthly Payment $676Step-by-step explanation:
A down payment is the upfront portion of a payment that is often required to finalize the purchase of items that are typically more expensive, such as a home or a car. When purchasing a home, after a down payment is paid by a home-buyer, any remaining balance will be amortized as a mortgage loan that must be fulfilled by the buyer. In other words, the purchase price of a house should equal the total amount of the mortgage loan and the down payment. Often, a down payment for a home is expressed as a percentage of the purchase price. As an example, for a $250,000 home, a down payment of 3.5% is $8,750, while 20% is $50,000.
Can some explain how to do algebra and what's the easiest way to do it
Please explain on the best possible
Answer: The most important aspect in doing algebra is having a pen/pencil and paper in hand. It'll give you a better understanding of the question being posed.