To find the slope of two points, we have to first assign our points as x1, y1 and x2, y2.
In our problem,
x1 = 2 and y1 = 5
x2 = 0 and y2 = -4
We know that that slope = y2 - y1 / x2 - x1. Let's plug our numbers into this formula.
Slope = -4 - 5 / 0 - 2 = -9 / -2 = 9 / 2
The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.
HELP HELP HELP HELP
Answer:
L = 20
W = 10
Step-by-step explanation:
L = (w + 10)
NL = (w + 13)
Divide 299 by 13:
299 ÷ 13 = 23
So, 23 x 13 = 299
L = 23
W = 13
Subtract 3 from both to get the original length and width
In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of the 20% solution are needed?
4 liters of 20% solution are needed to get a 14% solution.
Suppose x liters of 20% solution is needed to get a 14% solution.
What is a solution?The solution is a homogenous mixture of two or more substances in relative amounts.
So, according to the question
Final concentration of solution = 14%
So, 12% of 12 + 20% of x = 14% of (12+x)
12*12/100 + 20*x/100 = 14*(12+x)/100
144 + 20x = 168 + 14x
6x =24
x=4
4 liters of 20% solution is needed to get a 14% solution.
Therefore, 4 liters of 20% solution is needed to get a 14% solution.
To get more about mixtures and alligations visit:
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A study conducted in year 2002 found that the mean number of children under 18 per household in a certain community was 1.7. A statistician is trying to determine whether this number has changed in the last 6 years. She declares the null and alternative hypotheses to be: Null: The mean number of children per household in 2002 is equal to 1.7; Alternative: The mean number of children per household in 2002 is not equal to 1.7. Which of the following statements is true about this test?
a. This is a step-tailed test.
b. This is a left-tailed test.
c. This is a two-tailed test.
d. This is a right-tailed test.
Answer:
c. This is a two-tailed test.
Step-by-step explanation:
When the rejection region is divided between the two tails of the sampling distribution of the test statistic the test is referred to as two tailed or two sided test. In this case the alternative is set up as
Ha : u≠ 1.7
meaning that values both larger and smaller than u are to be included.
When the alternative hypothesis has the "not equal to sign" it gives the two tailed test.
An airplane cover 1020km in an hour. How much distance will it cover in 25/6 hours
Answer:
4250 km
Step-by-step explanation:
If we convert 25/6 into a mixed fraction, we get 4 1/6. Since we already know the plane goes for four hours already, we can multiply 1020 km x 4. That would give us 4080. Now that we converted the equation into a mixed fraction, we also know that the plane goes for an extra 1/6 hour. We divide 1020/6 because it is a sixth of an hour and the plane can travel 1020 in an hour. We get 170 km for 1/6 of an hour.
4080km + 170km= 4250 km
Given : An airplane cover 1020km in an hour.
To Find : How much distance will it cover in 25/6 hours .
Solution : It is given that an airplane covers 1020 km in one hour , this implies that the speed of the airplane is 1020km/hr .
Now , it is asked to find that how much distance it will cover in 25/6 hours .
Here ,
Speed = 1020km/hr .Time = 25/6 hr .Distance = ? .★ We know a relation between speed , distance & time as ,
[tex]\boxed{\red{\bf Distance = Speed \times time }}[/tex]
⇒ Distance = Speed × Time .
⇒ Distance = 1020km/hr × 25/6 hr .
⇒ Distance = 4250 km .
Hence the distance travelled is 4250km.
i mark as brainliest
Answer:
195
Step-by-step explanation:
Hope This Helps!
explicit form of x^2 - y^2 = 25
Answer: x - y = 5
Step-by-step explanation: since it’s squared you do inverse operation and square root of 25 is five and square root of x squared and why squared is x
Find the remainder when f(x) is divided by g(x) given that f(x) = 4x3 − 5x2 − 3x + 2 and g(x) = x − 3.
Given:
[tex]f(x)=4x^3-5x^2-3x+2[/tex]
[tex]g(x)=x-3[/tex]
To find:
The remainder when f(x) is divided by g(x).
Solution:
According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).
Using remainder theorem, if [tex]f(x)=4x^3-5x^2-3x+2[/tex] is divides by [tex]g(x)=x-3[/tex], then remainder is f(3).
Substitute x=3 in f(x).
[tex]f(3)=4(3)^3-5(3)^2-3(3)+2[/tex]
[tex]f(3)=4(27)-5(9)-9+2[/tex]
[tex]f(3)=108-45-7[/tex]
[tex]f(3)=56[/tex]
Therefore, the required remainder is 56.
pleas help ill give brainiest
Given:
Initial amount in the account = $1,000
Interest rate = 3.25%
Since the type of interest is simple, 3.25 % of 1000 will be added to that account every year with no increase in the incrementing amount
Amount increased in 18 years:
Amount increased every year = 3.25 * 1000 / 100 = $32.5
Amount increased in 18 years = amount gained in 1 year * 18
Amount increased in 18 years = 32.5 * 18 = $585
Total amount in John's bank account at the age of 18:
Initial amount + amount increased in 18 years
1000 + 585
$1,585
Find the critical t-value for a 98% confidence interval estimation if the sample size equals 11. (Round your solution to 4 decimal places)
Answer:
2.764
Step-by-step explanation:
Critical value = tα/2, degrees of freedom
Degrees of freedom = n - 1
n = 11
Degrees of freedom = 11 - 1
= 10
tα/2 = 100 - 98%/2
= 2%/2
= 1%
= 0.01
Critical value = 0.01, 10
Using the Critical T value table, the Critical T value for
two tails( a degree of significance of 0.02 and degree of freedom of 10) or one tail (0.01, 10) = 2.764
How many 2/3 go into 4
Answer:
it goes into 4, 6 times
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ÷ [tex]4[/tex]
Hope this helps
12 =7 solve.
Bro wat does this mean i dont get it please help someone :\
Answer:
if it says 12x = 7
the u will divide the 12 on both sides and x will equal to 7/12,,
if it simply says 12 = 7 then put false cause that's not true!!
Solve for x:
20- 3x= -3(x-8)
Answer:
[tex]20 - 3x = - 3( x - 8) \\ 20 - 3x = - 3x + 24 \\ - 3x + 3x = 24 - 20 \\ 0 = 4[/tex]
It does not have any answer.
Leah’s family took a 3-hour trip in a car. They left at 10:30 am. What time did Leah’s family arrive?
Answer:
1:30 Pm
Step-by-step explanation:
If the car ride was exactly 3 hours and they left and exactly 10:30 am then its would be 1:30pm because it goes 10:30 11:30 12:30 then 1:30
Find the value of f'(4) when
f(x)=5/3x^3/2+8x^1/2
In ΔTUV, t = 69 inches, u = 74 inches and v=14 inches. Find the measure of ∠T to the nearest degree.
Answer:64
Step-by-step explanation:
comment section
Answer:
64
Step-by-step explanation:
Can you help me with this?
Answer:
I need some more context
Step-by-step explanation:
Review the proof of de Moivre’s theorem (not in order).
Proof of de Moivre's Theorem
[cos(θ) + isin(θ)]k + 1
A = [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
B = cos(kθ + θ) + isin(kθ + θ)
C = cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
D = [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
E = cos[(k + 1)θ] + isin[(k + 1)θ]
Which steps must be switched to put the proof in order?
steps B and C
steps B and D
steps C and D
steps C and E
Answer:
steps B and D
Step-by-step explanation:
the correct chart is below :)
The steps which must be switched to put the proof in order are steps B and D
Since [cos(θ) + isin(θ)]k + 1
= [cos(θ) + isin(θ)]k ∙ [cos(θ) + isin(θ)]1
= [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)]
= cos(kθ)cos(θ) − sin(kθ)sin(θ) + i[sin(kθ)cos(θ) + cos(kθ)sin(θ)]
= cos(kθ + θ) + isin(kθ + θ)
= cos[(k + 1)θ] + isin[(k + 1)θ]
Since the step after A is [cos(kθ) + isin(kθ)] ∙ [cos(θ) + isin(θ)] = D, and the step after C is cos(kθ + θ) + isin(kθ + θ) = B.
So, steps B and D must be switched.
The steps which must be switched to put the proof in order are steps B and D.
Learn more about De Moivre's theorem here:
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GET AN EASY BRAINLIEST FIRST RIGHT GETS BRAINLIEST
Answer:
5
Step-by-step explanation:
5-9=(-4)
hope this helps :3
Answer:
Can i get a brainliest please? :·3
Step-by-step explanation:
I wasn't here on time
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A triangle has two sides of length 2 and 15. What compound inequality describes the possible
lengths for the third side, X?
Answer:
13<X<17
Step-by-step explanation:
Triangular Inequalities state that a side is always greater than the absolute value of the difference of the other two sides and less than the sum of the other two sides. You use the inequality |a-b|<c<a+b with a, b, and c as the lengths of the sides.
When you plug in the numbers, (X being c, 2 being b, and 15 being a) you get
|15-2|<X<15+2
|13|<X<17
Which brings us to our final answer of:
13<X<17
. (2 points each) How many ways are there to choose a dozen (12) donuts from 18 varieties if(a) there are no two donuts of the same variety
Answer:
There are 455 ways
Step-by-step explanation:
Here, we want to find the number of ways to select 12 donuts out of 18 donuts given that all the donuts are different
Mathematically, that would be;
18 C 2
= 18!/(18-12)!12! = 18!/6!12! = 455
6÷2+3×100000000000000000000000000000000000000000
Answer:
3E41
Step-by-step explanation:
hope it helps
Answer:
3e+40
Step-by-step explanation:
pls give me brainliest
is (5,15) a solution of the equation y= 3x? (plz answer asap)
Answer:
Yes
Step-by-step explanation:
15 = 3(5)
15 = 15
You plug in the point
What is the answer to -1x(-2)
Answer: 2x
Step-by-step explanation:
Answer:
2x
Step-by-step explanation:
Since there's two negative signs, the product should be positive. Just multiply 1x and 2 together to get the answer. :D
Changing Scales in Scale Drawings- (question in picture attachment)
i dont get it
Step-by-step explanation:
Plz help 30 points to whoever answers correctly. Write an equation of the parábola in intercept form. X-intercepts of 3 and 6 passes through (9,-9)
Answer:
k lemmee checkkkkkkkk
1) Suppose you buy a laptop costing $1850 at a store charging 12% add-on interest, and you make a $500 down payment.
Find the exact value using trigonometric identities.
1850 , 0.12 , − o n , 500 a
What type of number is V40?
Choose all answers that apply:
А
Whole number
B
Integer
С
Rational
D
Irrational
PLEASE ANSWER!!!
Answer:
A, B, and C
Step-by-step explanation: I'm going to assume the V is a typo. 40 is a whole number (it isnt a fraction or decimal), an integer, and rational because it is a real number and ends.
What is the answer to this question and please give an explanation. Please help me. Thank you.
Answer:
No, your classmate is not correct because the line isn't a line segment but a line and a line is never ending so their isn't a middle and their can't be those angles.
1) In a yoga class, 75% of the students are women. There are 24 women in the class. How many students are in the class?
A. 18
B. 30
C. 32
D. 42
----------------------------------------------------------------------------------------------------------------------------
2) It is Attached below:
Answer:
For the first question: C. 32
For the second question: D. 15
Step-by-step explanation:
If 75% of the students are women, and there's 24 women, first you would have to divide 24 by 3. This equals 8. So, add 8 to 24 because 8 is 1/4th of the yoga class. 8 + 24 = 32.
If you mark all of the coordinates and draw lines to make a rectangle, then count all the units until the end of the line, the longer sides are 15 units and the shorter sides are 11 units.
Given that the expression "p dollars for every q items" describes a unit price, which statement must be true? p=1 p=9 q=1 pg= 1
Answer:
p = q
Step-by-step explanation:
Answer:
the answer is q=1
Step-by-step explanation:
I did the quiz