[tex]\text{view explanation pls}[/tex]
Calculation ↓The first step is to write the line's equation in point-slope form
y-y1=m(x-x1)
y-0=4(x-3)
use the distributive property
y-0=4x-12
y=4x-12
Now that we have the equation of the line, we need to determine it's graph. how do we actually graph the line?Well, let's start with the y-intercept, which is -12 or (0, -12)
After plotting the point (0, -12) move up 4, over 1, up 4, over 1, up 4, over 1.
Do the same on both sides of the y-intercept.
hope helpful ~
solve the given equation state the number and type of roots x^2-5x-36=0
We can solve this quadratic equation using factorisation method as follows
:x2−5x−36=0
x2+4x−9x−36=0
x(x+4)−9(x+4)=0
(x+4)×(x−9)=0
x+4=0orx−9=0
x=−4orx=9
Help please thank u!!
Answer:
E={1,2,3}
Step-by-step explanation:
First one is the correct answer
Justin recently drove to visit his parents who live 720 miles awayOn his way there his average speed was 11 miles per hour faster than on his way home (he ran into some bad weather)If Justin spent a total of 24 hours drivingfind the two rates
Answer:
48hours drivinh from two rates
If P(A) = 1/6 , P(B) = 5/12, and P(A\B) + P(B\A) = 7/10 Find P(AUB)
Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2
Conditional probabilityProbability is the likelihood or chance that an event will occur. Given the following parameters
If P(A) = 1/6
P(B) = 5/12
P(A\B) + P(B\A) = 7/10
Required
p(AUB)
Recall that:
P(A|B)=P(AnB)/P(B)
P(B|A) = P(BnA)/P(A)
P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10
42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12
Determine P(AUB)
P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2
Hence the probability of P(AUB) is 1/2
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The sum of two consecutive odd integers is 96. what is the product of these integers?
Answer:
47 and 49
Step-by-step explanation:
Answer:
2303
Step-by-step explanation:
Let the smaller of the two odd integers be x.
Then the next odd integer is x + 2.
Since the sum of these 2 integers is 96, we may write x + (x + 2) = 96
Now solving for x we obtain:
2x = 94
x = 47
To find the next value we can subtract 47 from 96, which is 49.
Hence, the required two integers are 47 and 49. Multiplying them, we get a product of 2303.
hope this helps!
number 9 and 10, please
Answer:9 is g and b
Step-by-step explanation:
because they all involved the answer
Given points P, Q, R, and S, decide whether PQ and RS are parallel, perpendicular, or neither.
P (9,10) Q(10,3) R (-9,4) S (-2,5)
Answer:
Opposite Sides of Parallelogram are equal
If All opposite sides are equal , it is Parallelogram
For this You need to use distance formula that is
√(x2-x1)2+(y2-y1) 2
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Answer:
y = -1/4x + 8
Step-by-step explanation:
original line is y - 4x = 4
y = 4x + 4
dy/dx = 4
gradient of line perpendicular to the original line
= -1/4
thus answer is y = -1/4x + 8
hope this helps!
A box of 25 munchkins cost $5.46 what is the unit rate per munchkin
The unit rate per munchkin is $0.22.
What is Division?
Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,
[tex]\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22[/tex]
Hence, the unit rate per munchkin is $0.22.
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Part A Using opposite operations, rewrite the equation so s2 is on one side of the equation by itself. Part B What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation. Part C The pyramid of Khufu, also known as the Great Pyramid of Giza, is one of the Seven Wonders of the World. Its volume is about 2,433,400 cubic meters, and its height is about 138 meters. Substitute these values into the equation from Part B, and solve the equation. Part D Search the Internet to find the length of each side of the base of Khufu’s pyramid. Does this length match your calculation? Part E Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base. Part F Search the Internet to find the length of each side of the base of Khafre’s pyramid. Does this match your calculation? Part G About how much longer are the side lengths of the base of Khufu’s pyramid than Khafre’s?
Answer:
Part A: S^2= 3V/H
Part B: S =\sqrt{3\frac{v}{h} }
Part C: s=√3* 2,433,400 /138=230 metres
Part D: This website says that the length of Khufu’s Pyramid is about 230 meters. My calculation was correct.
Part E: S = √3*2,115,072/ 136 =216 metres
Part F: The length of Khafre’s pyramid is about 215.5 My calculation was a little off, but not by much.
Part G: 14 meters longer
Step-by-step explanation:
Part A:
I am going to solve:
So,
V=1/3 HS^{2}
Then, multiply both sides by 3:
V x 3= 1/3 HS^{2} x 3
So,
3V=HS^{2}
Then, we divide by H:
\frac{3V}{H}=\frac{HSs^{2} }{H}
So,
\frac{3V}{H}= s^{2}
Then switch sides:
s^{2}= \frac{3V}{H}
I hope this helps
Step-by-step explanation:
MARK A BRAIN LESS
Answer:
Part A: Inverse operations are operations that undo each other that is they result to the original number or variable. s2 = 3V / H.
Part B: opposite operation of squaring is taking a square root. S = 3 v/h
Part C: s=√3 2,433,400 /138=230
Step-by-step explanation:
Im sorry thats all I know
Solve for an angle in right triangles. Round to the nearest hundredth
Answer:
39.8°
Step-by-step explanation:
Soh Cah Toa
Soh: sine = opposite / hyp
Cah: cos = adj / hyp
Toa: tan = opp / adj
You have 2 sides so you would use tangent
tan θ = 5/6
tan^-1 (5/6)
= 39.8°
5.
6.) Mrs. Allison is making a blanket for her horse. She has 16 feet of fabric. Mrs. Allison cut
three pieces of fabric and each piece is 4 feet. How much fabric is left?
What number would you divide by to calculate the mean of 2, 5, 4, and 3?
To determine the number that you would divide by to calculate the mean:
⇒ must determine the definition of the mean
Definition of Mean: a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the listSince there are 4 numbers:
⇒ the number would you divide by to calculate the mean is 4
Hope that helps!
Answer:
answer is either 1 or 3.5
Step-by-step explanation:
first you need to add all of the numbers together then divide by the amount of numbers ( in this case there are 4 numbers)
2+5+4+3=14
14/4=3.5 which gets you the mean
but sometimes it will want you to go a step further and do this-
finding the distance from each number from the mean found like this!
3.5-2=1.5
5-3.5=1.5
4-3.5=.5
3.5-3=.5
then add these together
1.5+1.5+.5+.5=4
then 4 divided by tghe amount of numbers which is 4
4/4=1 so that is taken a step further but the answer is either
the temperature is -7F and drops 15F what is the temperature now
Answer:
I'm really not sure but I think it would be -22F
Step-by-step explanation:
negative 7 minus 15 is negative 22
HELP ME WITH THIS IF U PLEASE
PART A
WT = 30
30 = 3HF + 2FA
30 = 3x + 2y
2y = 30 - 3x
y = 15 - 3/2x
0 = 15 - 3/2x
3/2x = 15
x or EH = 10
y = 15 - 3/2(10)
y = 15 - 15
y or FA = 0
Okay so this problem doesn't make sense because FA cannot = 0. I know I did the first part right - change of variables. I'm just not sure if we can use the information in part b to answer part a... Anyway, I hope this helps!
what is the raidus of the cone in the diagram. height = 12 units Volume = 201.06 cubic unit
Answer:
4 units (nearest whole number)
Step-by-step explanation:
Formula
[tex]\textsf{volume of a cone}=\dfrac13 \pi r^2h[/tex]
Solution
Given:
volume = 201.06 units³height = 12 units[tex]\implies 201.06=\dfrac13 \pi r^2(12)[/tex]
[tex]\implies 201.06=4 \pi r^2[/tex]
[tex]\implies r^2=\dfrac{201.06}{4 \pi}[/tex]
[tex]\implies r=\sqrt{\dfrac{201.06}{4 \pi}}[/tex]
[tex]\implies r=3.999980804...[/tex]
Therefore, the radius of the cone is 4 units (nearest whole number)
In the similar quadrilaterals below, what angle corresponds to ∠C? ∠H ∠G ∠F ∠E
we need to see the shapes
What is answer?
Not really good. At this
A man holds a note of $6,000 that has an interest rate of 11% annually. The note was made on March 17 and is due November 14. He sells the note to a bank on June 13 at a discount rate of 10% annually. Find the proceeds on the third-party discount note. (Use the banker's rule.)
The value of the proceeds on the third party discount note for the specified condition is $5968.28
How to calculate proceeds?Proceeds is the difference between maturity value of the original rate and the third party discounts. Or,
Proceeds = Maturity value of the original rate - Third party discounts
How to calculate the maturity value of the original rate?Let we take:
P = principal amount on which interest will be applied.R = interest rateT= time period for which interest will be applied,Then we get:
Maturity value = P(1 + RT) (use decimal value of R instead of percent. For that, divide the percentage value by 100 to convert it to decimal (if its in percent) ).
How to calculate the third party discounts?Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.
Thus, we get:
Third party discount = Maturity value × R × T (R in decimal form).
For this case, we're specified that:
P = principal amount on which interest will be applied = $6000Rate of interest = R = 11% = 0.11 (in decimal form) (annually)Time = from 17th march till 14th november.Using banker's rule (which assumes 360 day year with 30 day months), we get:
Number of days from 17th march till 14th november = number of days from 17th march till 16th november - 2 = [tex]8 \times 30 - 2 = 238[/tex] (as there are 8 months in between, all of assumingly 30 days)
Converting this to year, we get:
[tex]T = \dfrac{238}{360} \approx 0.661[/tex] years.
Thus, we get:
Maturity value = [tex]P(1 + RT) \approx 6000 (1 + 0.11 \times 0.661) = 6436.26 \: \rm dollars[/tex]
And therefore, we get:
Third party discount = Maturity value × R × T = [tex]6436.26 \times 0.11 \times 0.661 \approx 467.98 \: \rm dollars[/tex]
Thus, the value of the proceeds on the third-party discount is:
maturity value - third party proceeds = [tex]6436.26 - 467.98 = 5968.28 \: \rm dollars[/tex]
Thus, the value of the proceeds on the third party discount note for the specified condition is $5968.28
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A small shipping crate can hold up to 500 pounds. Kelly needs to ship two machine parts that are 255 pounds and 321 pounds. She wants to estimate to see if she can ship both machine parts in the same crate. Complete the statements.
Answer: no they don't both fit in one box.
Step-by-step explanation: first off, 200 plus 300 is 500, and both numbers are bigger. Then if you wanted to round it to the nearest 10, you would get 580. 580>500 so yeah. that won't work.
The model n(T)= 2^t represents the number of bacteria in a petri dish after c hours
where t= 0 represents the time when the bacteria were first put into the dish.
What is the correct value and interpretation of n (10)
Answer:
1024
Step-by-step explanation:
n(10) =2^10
n(10) = 1024
Meade gave 1/7 of a candy bar to Max and then ate 2/5 of the candy bar himself. What fraction of the candy bar is left?
There is ______ of the candy bar left
Let's break this problem into a few steps:
First, Meade gave 1/7 of candy to Max⇒ Amount of Candybar: Candy - (1/7)Candy = (6/7)Candy
Second, Meade ate 2/5 of the candy⇒ Amount of Candy left:
Total amount of candy - (2/5) * Total amount of candy
= (6/7) Candy - (2/5) *(6/7)Candy
= (1 - (2/5)) * (6/7) Candy
= 3/5 * 6/7 = 18/35 Candy
Thus there is 18/35 of the candy left.
Find the Product and Combine similar terms.
1. -1(7+4b) =
2. x(x²–2xy+y²) =
3. -5x(-3+x) =
What is one disadvantage of a trade school education over a four-year college?
A. The cost will be higher.
B. Your courses will not be as diverse.
C. You will have to study longer.
D. You will be less prepared to work.
Answer: B. Your courses will not be as diverse.
Step-by-step explanation:
A four-year college will have many different classes and courses you can take in different areas. Trade school courses focus on a specific skill, such as being a dentist or an electrician. This means the answer to your question is;
B. Your courses will not be as diverse.
Answer: B: Your courses will not be as diverse
Step-by-step explanation: Trade schools focus on preparing you for a specific trade rather than general studies
If a tax of $6.75 is charged on an $84.37 purchase, what is the sales tax rate?
Answer:
8%
Step-by-step explanation:
[tex] \frac{6.75}{84.37} = .08[/tex]
The area of the base and total surface area of a square based solid pyramid are 144 sq. cm and 384 sq cm respectively. What will be the volume of the pyramid? Find it
Answer:
384 cubic centimeters
Step-by-step explanation:
We are given the base area and total area of a square pyramid and asked to find the volume. The typical volume formula for a pyramid requires that we know the height of it. We can use the formula for the surface area to find the slant height of a face, and we can use the slant height to find the height perpendicular to the base.
__
face areatotal surface area = base area + area of 4 faces
area of 4 faces = total surface area - base area
area of 4 faces = 384 cm² -144 cm² = 240 cm²
area of 1 face = 240 cm²/4 = 60 cm²
__
slant heightThe side length of the square base is ...
A = a²
a = √A = √(144 cm²) = 12 cm
and the slant height of one face is ...
A = 1/2as
s = (2A)/a = (2×60 cm²)/(12 cm) = 10 cm
__
pyramid heightThe distance from the center of the base to the edge of the base is (12 cm)/2 = 6 cm. That is one leg of the right triangle whose hypotenuse is the slant height of the face. The other leg of the triangle is the height of the pyramid:
H² = s² -(a/2)² . . . . Pythagorean theroem solved for one leg
H = √(10² -6²) = 8 . . . . cm . . . . height of the pyramid
__
volumeNow we know the base area of the pyramid (B), and we know its height (H), so we can use the formula ...
V = 1/3BH
V = 1/3(144 cm²)(8 cm) = 384 cm³
The volume of the pyramid will be 384 cm³.
A pair of flip flops is labeled $9 on the price tag. At the register, I paid $9.45. What percent of $9 is $0.45?
Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity.
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
Given polynomial equation q(x)=12x⁵+40x⁴-32x³, therefore, the factorised form of the equation will be,
[tex]q(x)=12x^5+40x^4-32x^3\\\\q(x)=4x^3(3x^2+10x-8)\\\\q(x)=(4x^3-0)(3x^2+12x-2x-8)\\\\q(x)=(4x^3-0)[3x(x+4)-2(x+4)]\\\\q(x) = (4x^3-0)(3x-2)(x+4)[/tex]
Therefore, the multiplicity of 0 is 3, 2/3 is 1 and -4 is 1.
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Help please really important!! Will make brainiest
Answer:
This is all I have right now. The ray makes me think about drawing a circle in the middle and somehow using the diameter to find the height of the triangle. It's just weird because we don't know the base and I'm not sure how to find that without at least knowing the height & using pythagorean theorem.
Although it's not much, hopefully this can steer you in the right direction! Maybe you're way smarter than me and know where to take it from here lol Good luck
Hover– High helicopters manufacturers radio – control toy helicopters. They have their quality control down to a point we’re only one in 100 built could be defective and returns for repair at a cost to the company of $50. At a profit margin of $10 per unit, what would their profit be per unit after selling 200 copters?
If a profit margin is $10 per unit, what would their profit be per unit after selling 200 copters is $9.40.
Profit per unitFirst step
There are 2 defectives in 200 copters
Total profit=[(200-2)×$10]-($50×2)
Total profit=(198×$10)-$100
Total profit=$1,980-$100
Total profit=$1,880
Second step
Profit per unit=$1,880/200
Profit per unit=$9.40
Therefore their profit be per unit after selling 200 copters is $9.40.
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