Answer:
w⁴ - 36
=> ( w² )² - ( 6 )²
=> ( w² + 6 ) ( w² - 6 )
=> w² + 6 = 0 and w² - 6 = 0
=> w = √-6 and w = √6
The value of w is √-6 and √6 .
What is an identity?An identity is an equation that is true for all values of the variables.
For example:
The above equation is true for all possible values of x and y, so it is called an identity.
According to question one such identity will be used
[tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]
w⁴ - 36
= ( w² )² - ( 6 )²
= ( w² + 6 ) ( w² - 6 )
= w² + 6 = 0 and w² - 6 = 0
= w = √-6 and w = √6
Hence, w is a quadratic term so it have two value √-6 , √6 .
To know more about identity here :
https://brainly.com/question/20427661
# SPJ2
The endpoints of VW are V(-4,9) and W(1,-6). Find the coordinates of the midpoint M
Answer:
(-3/2 or 1.5, 3/2 or 1.5)
x = -3/2 or -1.5
y = 3/2 or 1.5
Step-by-step explanation:
the midpoint formula is x1+x2/2 and then y1+y2/2 so -4 +1 = -3/2 for x. for y, 9 + -6 = 3/2. so the midpoint would be (-3/2 or 1.5, 3/2 or 1.5) depending on if you’re using decimals or fractions
The midpoint of VW is (-3/2,3/2).
What is midpoint of a line ?The midpoint of a line divides a line segment into two equal parts and the point is called the midpoint.
According to the given question the endpoints of VW are V(-4,9) and W(1,-6) and we have to find midpoint of VW.
We know midpoint of x is (x₁+x₂)/2 and midpoint of y is (y₁+y₂)/2.
Here V is (x₁,y₁) = (-4,9) and W is (x₂,y₂) = (1,-6).
∴ Midpoint of x is
= (-4 + 1)/2
= -3/2.
AND
Midpoint of y is
= {9 + (-6)}/2
= 3/2.
learn more about midpoint here :
https://brainly.com/question/28224145
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Rebecca is buying groceries and there is a 9% sales tax. Her total before tax is $67.
Which answer gives the best estimate for her total after tax?
1.)$134
2.) $603
3.) $60
4.) $75
Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, and a white ribbon for learning how to stay. There are 100 dogs in the school.
62 have blue ribbons, 55 have green ribbons, and 63 have white ribbons.
32 have a blue ribbon and a green ribbon 31 have a green ribbon and a white ribbon; 38 have a blue ribbon and a white ribbon.
16 have all three ribbons.
How many dogs have not learned any tricks?
Answer:
5
Step-by-step explanation:
The 32 that have blue and green ribbons include the 16 that have all three, so there are only 32 -16 = 16 that have only blue and green ribbons.
The 31 that have green and white ribbons likewise include the 16 with all three, so there are only 31 -16 = 15 that have only green and white ribbons.
The 38 that have blue and white ribbons include the 16 with all three, so there are only 38 -16 = 22 that have only green and white ribbons.
__
If we add the numbers of blue, green, and white ribbons, we are counting twice the numbers that have 2 ribbons, and 3 times the numbers that have 3 ribbons. We want to count each kind of ribbon-holder only once. Hence the number of individual dogs with any number of ribbons is only ...
62 +55 +63 -(16 +15 +22) -2(16) = 95
Of the 100 dogs, 95 have ribbons, so 5 dogs have not learned any tricks.
Anybody know how to do this?
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Susie leases a $13,000 car for three years. The estimated resell value at the end of the lease term is $7,683. The interest rate is 5.1%. Susie will pay on her lease monthly. What is the depreciation fee?
a) $43.95
b) $147.69
c) $249.53
d) $7,683.00
Answer:
The depreciation fee is the difference between the initial value of the car and its estimated resell value at the end of the lease term. In this case, the depreciation fee is $13,000 - $7,683 = $5,317.
To calculate the monthly payment on the lease, you would need to know the length of the lease in months, the interest rate, and the depreciation fee. You can then use the following formula to calculate the monthly payment:
Monthly payment = (Interest rate / 12) x (Initial value - Resell value) / Length of lease in months
For example, if the length of the lease is 36 months, the monthly payment would be:
Monthly payment = (5.1% / 12) x ($13,000 - $7,683) / 36 months = $114.78
Keep in mind that this is just an example calculation and the actual monthly payment on Susie's lease may be different depending on the specific terms of the lease agreement.
Step-by-step explanation:
It took John 16 minutes to cook 8 eggs. How long would it take to cook 15 such eggs?
Answer:
30 minutes
Step-by-step explanation:
First, you need to find the amount of time it takes to cook one egg. To do this, you do 16/8 to get 2 minutes per egg. Then, since you need to cook 15 eggs, you do 15 times 2 to find the total amount of time to cook. You should get 30.
what’s the answer to this ?
Answer: 12.73 cm
Step-by-step explanation:
The clock will move in a circular motion
The radius if the circle is 7.6 cm
So circumference= 2πr
= 2×22/7×7.6
=47.75 cm
Degree covered in 16 minutes=
360/60×16
= 96°
Now, since distance covered in 1° =
47.75/360 = 0.133
Distance covered in 96° =
47.75/360×96 = 12.73 cm ( approx.)
The data set on the right represents
A teacher recorded all of his students' grades on
the final exam as:
DONE
62, 77, 78, 80, 82, 82, 83, 84, 85, 87, 89,95
Consider the formulas:
A: 52_ (x1 - x* +(x2 - x)2 + ... + (xin – x)2
n-1
(y - x)+(x2-x+ +(An - x}}
n-1
co2
(x2 – 40)2 + (x2 – 42+ +(x3 - ?
B.SE
(x2 - 4) + (x2 - 4 +
N
+(9-4)
Answer:
The correct option is C
(SEE THE ATTACHMENT)
Step-by-step explanation:
The question is unclear because the options given doesn't make any sense. We can consider the questions incomplete, After searching the internet, I found out what was the question and its options actually are. I hope it helps
(YOU CAN SEE THE ATTACHMENT BELOW)
Q) WHICH FORMULA SHOULD BE USED TO CALCULATE VARIANCE?
ANSWER)
We know that there are 2 types of variance, Population variance and sample variance. As in this question, we are considering all the values of the data to find variance. we'll find Population Variance. If we would considered only some values (sample) from the data (population), we would have considered to find sample variance.
Population Variance is given as sigma squared which is calculated by sum of square variables minus mean, divided by number of observation in population.
[tex]\sigma^2=\frac{\sum(x_i-\mu)^2}{N}[/tex]
which is represented by option C
Answer:
The data set on the right represents
✔ the population B
.
Which formula should be used to calculate the variance?
✔ C
What is the variance?
✔ 58.5
Please answer this very simple attachment Correctly!!! Down below.
Answer:
3.47, or B
Step-by-step explanation:
I'm weird so I did it a weird way and subtracted the total amount the book costed from the amount she has left and thats how we got how much more she needs.
8.35 - 4.88 =3.47
Katie and Tyler are working at their lemonade stand. They have sold 1/2 of a pitcher of lemonade and now have 1/3 of a pitcher left to sell.
What fraction of a pitcher of lemonade did they start with?
Answer:
5/6
Step-by-step explanation:
first you simplify the fractions into 6's. why, because 6 is the common denominator for these two fractions
1/2= 3/6
1/3= 2/6
now you add 2/6 plus 3/6
what is the approximate area of the cirlle shown below
Answer:
43ft^2
Step-by-step explanation:
A=πr^2
A=π×3.7^2
A=π×13.69ft^2
A=43ft ^2
Plzz mark brianliest if it suit your question..
Find the height of the tree. Show steps
Answer:
Step-by-step explanation:
I don't say u have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
please help i'm literally terrible at this !
AB have a 90° angle with BC, so the angles ABD + CBD = 90
(7x - 9)° + 4x° = 90°
7x + 4x = 90 + 9
11x = 99
x = 99/11
x = 9
So the angles are:
7x - 9 -> 7.9 - 9 = 54°
4.9 = 36°
Answer:
m<CBD equals 54
Step-by-step explanation:
Since that is a right angle do (7x-9)+(4x)=90
=11x-9=90
=11x=99
x=9
CBD=7x-9
7(9)-9=54
Hope this helps
Which of the following does not have any dimension? Question 13 options: A) Line B) Point C) Ray D) Line segment
Answer:
B) Point
Step-by-step explanation:
Lines have length because they extend forever in both directions. Rays extend forever in one direction. Line segments have length. A point does not have any dimension.
Answer:
B
Step-by-step explanation:
Plz help asap
A bag of potatoes weights 30 lb. If 74% of a potato is water, how many pounds of water are there in the bag?
Answer:
22.2 pounds of water are in the baag
Step-by-step explanation:
1 * 0.74 = .74
.74 * 30 = 22.2
Please ANswer!!!
x^2 +25 + 2 = 2x^2 + 30
Will mark brianliest!
Solve, please!!!
Answer:
x^2 +25 + 2 = 2x^2 + 30
X^2 + 27 = 2X^2 + 30
- 27 - 27
X^2 = 2X^2 + 3
-X^2 = 3
X = SQRT. - 3
Answer:
± sqrt(3) i =x
Step-by-step explanation:
x^2 +25 + 2 = 2x^2 + 30
Combine like terms
x^2 + 27 = 2x^2 +30
Subtract x^2 from each side
x^2 + 27 - x^2 = 2x^2 - x^2 +30
27 = x^2 +30
Subtract 30
27-30 = x^2
-3 = x^2
Taking the square root of each side
±sqrt(-3) = sqrt(x^2)
±sqrt(-3) =x
±sqrt(-1) sqrt(3) =x
We know the square root of -1 = i
± sqrt(3)i =x
The circumference of circle A is three times the circumference of circle B. Which statement about the areas of the circles is true? *I'll mark brainliest for first answer
Which sequence are geometric? Select three options
-3s + 5 = s + 13
In a linear equation
If you spin the following spinners, what is the probability it lands on a vowel and an even number?
Answer:
1/5
Step-by-step explanation:
vowels are a,e,i,o,u
2/5 times 3/6
even numbers are 2,4,6
6/30= 1/5
Answer:
2/5 * 1/2 = 1/5
Step-by-step explanation:
The First Spinner there are 2 vowels out of the 5 making the first fraction 2/5
The Second Spinner has 3 even numbers making it 3/6.
With 3/6 we can simplify it to 1/2.
Then Multiply to determine the probability
What would happen if someone sarhpled a basketball team to find the
average height of a school's student body?
Answer:
Basketball players are normally taller so it would not be accurate
Answer: It wouldn't be valid or reliable because the basketball team is not indicitive of the entire student body. Additionally, sampling just the basketball team is not random nor is it likely a large enough sample size (unless it is a tiny school).
Step-by-step explanation:
What is 30% of 550cm3
Answer:
165cm³
Step-by-step explanation:
30% of 550cm³=30/100 *550cm³=3*55cm³=165cm³
What is the slope of the line passing through the following points:
(1,3) & (5,0)
Answer:
-3/4
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (0-3)/(5-1)
= -3 / 4
Answer:
Step-by-step explanation:
[tex]slope=\frac{y_{2}-y_{1}}{y_{2}-y_{1}}\\\\=\frac{0-3}{5-1}\\\\=\frac{-3}{4}[/tex]
What is the value of the t that satisfies the equation below?
5(t + 2) - 3(2t + 1) = -2
1.
0
2.
-2
3.
9
4.
15
Solution,
5(t+2)-3(2t+1)=-2
or,5t+10-6t-3=-2
or,5t-6t+10-3=-2
or,-t+7=-2
or,-t=-2-7
or,-t=-9
t=9
Hope it helps
Good luck on your assignment
Answer:
[tex]t = 9[/tex]
Step-by-step explanation:
[tex]5(t + 2) - 3(2t + 1) = - 2 \\ 5t + 10 - 6t - 3 = - 2 \\ - t + 7 = - 2 \\ - t = - 2 - 7 \\ - t = - 9 \\ t = 9[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Help me sorry im not good at math
Answer:
D SORRY IF WRONG
Step-by-step explanation:
Answer:
D is the correct answer
If k, m, and n are all prime numbers, list all factors of k∙m∙n.
Answer:
Factors of kmn are 1, k, m, n, km, mn, kn and kmn
Step-by-step explanation:
Given: k, m, and n are prime numbers
To find: factors of k∙m∙n
Solution:
A number is said to be prime if it has exactly two factors: 1 and the number itself
x is said to be a factor of y if x can divide y exactly.
Here,
1 can divide kmn
k can divide kmn
m can divide kmn
n can divide kmn
km can divide kmn
kn can divide kmn
mn can divide kmn
kmn can divide kmn
So, factors of kmn are 1, k, m, n, km, mn, kn and kmn
Convert the following sum into a product. cosx + cos3x + cos5x + cos7x
Answer:
[tex]4\cos x\cos (4x)\cos (2x)[/tex]
Step-by-step explanation:
Given: [tex]cosx + cos3x + cos5x + cos7x[/tex]
To convert: the given sum into product
Solution:
Use formula: [tex]\cos A+\cos B=2\cos \left ( \frac{A+B}{2} \right )\cos \left ( \frac{A-B}{2} \right )[/tex]
[tex]cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos (2x)\cos (-x)+2\cos (6x)\cos (-x)\\=2\cos (2x)\cos (x)+2\cos (6x)\cos (x)\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ][/tex]
[tex]cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]\\=2\cos x\left [2 \cos \left ( \frac{2x+6x}{2} \right )\cos \left ( \frac{2x-6x}{2} \right ) \right ]\\=2\cos x\left [ 2\cos (4x) \cos (-2x) \right ]\\=4\cos x\cos (4x)\cos (2x)[/tex]
If a credit card holder has a low APR. The minimum monthly payments will be?
A. higher
B. lower
C. unchanged
D. fluctuating
Answer:
Option B, the minimum monthly payments will be LOWER
Step-by-step explanation:
We can proof this by using hypothetical scenario below:
John has $1,500 with APR of 10% payable in 48 month equal instalment
Timmy has $1,500 with APR of 8% payable in 48 month equal instalment
Let us calculate monthly payment in each case
=pmt(rate,nper,-pv,fv)
rate is the monthly rate which APR/12
nper is 48
pv is the balance on the card which is $1,500
fv is the total monthly repayment which is unknown
John monthly payment=pmt(10%/12,48,-1500,0)=$38.04
Timmy monthly payment=pmt(8%/12,48,-1500,0)=$ 36.62
Since Timmy with a lower APR has a lower monthly payment, option B is correct
What are the solutions of x²-2x+2=0?
Answer:
A
Step-by-step explanation:
[tex]x^2-2x+2=0[/tex]
Plugging this into the quadratic formula:
[tex]x=\dfrac{2\pm \sqrt{4-8}}{2}=\dfrac{2\pm 2i}{2}= 1\pm i[/tex]
Therefore, the correct answer is choice A. Hope this helps!
I need help on this.
Answer:
Evaluate the terms inside of the parentheses
Step-by-step explanation:
According to PEMDAS, you always start solving an equation by answering what is inside of the parentheses first. (That's what the 'P' in PEMDAS stands for!)
Therefore, this is the correct answer.
