Answer:
Step-by-step explanation:
x² + 2x -24 = 0
delta = 2² - 4*1*(-24)
delta = 4 + 96
delta = 100
x' = (-2 + [tex]\sqrt{100}[/tex]) / 2*1
x' = (-2 + 10) / 2
x' = 8 / 2
x' = 4
x" = (-2 -10) / 2
x" = -12 / 2
x" = -6
OMG HELP RN
On a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
202.64 - h
B.
202.64 ÷ h
C.
202.64 × h
D.
202.64 + h
Answer:
C would be the answer
Hope this helps!
I'll mark brainiest.. no links
Answer:
20.5
Step-by-step explanation:
Use Pythagorean theorem,
[tex]x^2 = 14^2 +15^2 \\\\\implies x^2 =421\\\\\implies x =\sqrt{421}\\\\\implies x =20.5[/tex]
33% of what number is 1.45? Round to the nearest tenth.
Take the unknown number as 'y'.
=》33% = 33/100
=》1.45 = 145/100
33/100 × y = 1.45
33/100 × y = 145/100
33y = 145/100 × 100/1
33y = 145
y = 145/33
y = 4.39
______
RainbowSalt2222 ☔
4,39
I'm sorry if I'm wrong
Help me please (I have to write something to send a question)
Answer:
yshannmm
Step-by-step explanation:
yes
If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220
Scores on a recent exam followed a normal distribution and letter grades will be assigned with 15% A, 35% B, 30% C, 15% D, and 5% F. Suppose that Sue took the exam and had a standardized score of 0.85. What letter grade will Sue get?
Using the normal distribution, it is found that Sue will get a letter grade of B.
In a normal distribution 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]
It 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, which is the percentile of X.In this problem, Sue got a grade of 0.85, hence [tex]z = 0.85[/tex].
Looking at the z-table, z = 0.85 has a p-value of 0.8023, hence she is approximately in the top 20%, which is below the top 15% but above the top 50%, hence she got a letter grade of B.A similar problem is given at https://brainly.com/question/25745464
If Y has exactly 2 positive integer factors then Y is a prime number. if so how?
Step-by-step explanation:
yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.
these are the 2 positive integer factors.
if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.
if the number can be divided without remainder by another number, then we are not dealing with a prime number.
but if your teacher did not have these default factors in mind, then no :
example : 15
15 has only 2 factors : 3 and 5.
both are positive integer numbers.
and yet 15 is not a prime number.
but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.
If sin A =P then the value of tan thita + sec thita is
i guess you have copied the wrong question.. it should be somewhat like if tan theta + sec theta = p then find tge value of sin theta...
secθ+tanθ=P
⇒(secθ+tanθ)² = P²
⇒sec² θ+tan² θ+2tanθsecθ=P²
⇒2tan²θ + 1 + 2 sinθ/cos θ = P²
⇒2 sin²θ+ cos²θ+ 2 sinθ total by cos²θ = P²
Applying componendo and dividendo
=> 2sin²θ+ cos²θ+ 2sinθ- cos²θ/ 2sin²θ+ cos²θ+ 2sinθ- cos²θ = p²-1 / p²+1
⇒2sinθ(sinθ+1)/ 2(sinθ+1) = p²-1 / p²+1
=> sinθ = p²-1/ p²+1
This class is algebra
Answer:
y = -1/2
Step-by-step explanation:
(3x + 4y = 4)
+
(2x - 4y = 6)
______________
5x = 10
x = 2
plug in x for any of the two equations ....
2(2) - 4y = 6
4 - 4y = 6
-4y = 2
y = -1/2
A model village is built to scale. It has a scale of 1 : 23. A road has a real-life length of 1.61 km. What is the length of the road in the model village in m?
Answer:
We need to find how much more or less the ratio becomes
1.61 / 23 = 0.07
we multiply 0.07 with 1 to make the ratio even and get your answer
1 x 0.07 = 0.07 on the map
Hope this helps
Step-by-step explanation:
Help me with this pls
Answer:
Step-by-step explanation:
Which inequality is true when the value of R is 18? I'ma shower the answers i can choose in the picture
Answer:
See below:
Step-by-step explanation:
Hello! We can check to see if the inequality is true by replacing r with 18 as we have been told to find them in which 18 as r makes the equation true.
So our equations to test for are:
[tex]-r-3>-6\\-r+3<6\\r+3<6\\-r+3>6[/tex]
We can input 18 as r and then we see the following are correct:
1. No, as a -21 is not greater than -6
2. Yes, as -15 is less than 6.
3. No, as 21 is not greater than 6
4. No, as -15 is not greater than 6.
Cheers!
Sierra is getting a loan to purchase a car, but she has a few options for loan
comparing the cost of each loan to determine which loan will cost the least in terms of interest
paid. (Interest is the fee paid for the use of borrowed money, and it is expressed as a
percentage of the amount borrowed multiplied by the amount of time the borrower takes to
repay the loan.) All of the loan offers are for $10,000, and include an upfront fee of $200. They
are all simple interest loans (as opposed to compound interest loans). Loan A is to be paid back
over five years with an annual interest rate of 6 percent Loan B is to be paid back over four
years with an annual interest rate of 4 percent. Loan C is to be paid back over three years with
an interest rate of 5 percent. How Sierra figure out which loan will require the lowest interest
payments?
Answer:What would be the interest cost(simple interest) for a $3000 loans with a 8% rate for nine months of a years? [Simple interest= Principal Rate Time. In this case, time is 9/12(for 0.75 of a year).
Step-by-step explanation: The cost to borrow the money, expressed as a percentage of the loan. After you enter the details, the auto loan payment calculator automatically ...A finance charge is the dollar amount that the loan will cost you. Lenders generally charge what is known as simple interest. The formula to calculate ...
If √(0.09×0.09×x) = 0.09 × 0.09×√z, then the value of x/y is____.
Given that-
√(0.09×0.09×x) = 0.09×0.09×√z
On squaring both sides then
⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²
⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²
⇛ (0.09)² × x = (0.09)²×(0.09)²×z
⇛ (0.09)² × x/z = (0.09)²×(0.09)²
⇛x/z = (0.09)²×(0.09)²/(0.09)²
⇛x/z = (0.09)²
⇛x/z = 0.09×0.09
⇛x/z = 0.0081
Answer:- Hence the value of x/z will be 0.0081 r respectively.
Find the measure of ∠B. Angles are in the image below, Need answers ASAP if possible thanks!
Answer:
30
Step-by-step explanation:
The red square means it equals 90 degrees
90 - 60 = 30
I hope this helps
help me please the drop down menu is the same for top and bottom i’m lost:(
Answer:
1) No solution
2) Infinitely many solutions
Step-by-step explanation:
1) No solution
0=2 is false.
2) Infinitely many solutions
2=2 is true because both sides are equal, hence, it is an infinite solution.
Hope this helps :)
[tex] \displaystyle \int \limits_{0}^{ \frac{ \pi}{2} } \tt\tan (x) \ln ( \sin (x))[/tex]
Let [tex]x = \arcsin(y)[/tex], so that
[tex]\sin(x) = y[/tex]
[tex]\tan(x)=\dfrac y{\sqrt{1-y^2}}[/tex]
[tex]dx = \dfrac{dy}{\sqrt{1-y^2}}[/tex]
Then the integral transforms to
[tex]\displaystyle \int_{x=0}^{x=\frac\pi2} \tan(x) \ln(\sin(x)) \, dx = \int_{y=\sin(0)}^{y=\sin\left(\frac\pi2\right)} \frac{y}{\sqrt{1-y^2}} \ln(y) \frac{dy}{\sqrt{1-y^2}}[/tex]
[tex]\displaystyle \int_{x=0}^{x=\frac\pi2} \tan(x) \ln(\sin(x)) \, dx = \int_0^1 \frac{y}{1-y^2} \ln(y) \, dy[/tex]
Integrate by parts, taking
[tex]u = \ln(y) \implies du = \dfrac{dy}y[/tex]
[tex]dv = \dfrac{y}{1-y^2} \, dy \implies v = -\dfrac12 \ln|1-y^2|[/tex]
For 0 < y < 1, we have |1 - y²| = 1 - y², so
[tex]\displaystyle \int_0^1 \frac{y}{1-y^2} \ln(y) \, dy = uv \bigg|_{y\to0^+}^{y\to1^-} + \frac12 \int_0^1 \frac{\ln(1-y^2)}{y} \, dy[/tex]
It's easy to show that uv approaches 0 as y approaches either 0 or 1, so we just have
[tex]\displaystyle \int_0^1 \frac{y}{1-y^2} \ln(y) \, dy = \frac12 \int_0^1 \frac{\ln(1-y^2)}{y} \, dy[/tex]
Recall the Taylor series for ln(1 + y),
[tex]\displaystyle \ln(1+y) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}n y^n[/tex]
Replacing y with -y² gives the Taylor series
[tex]\displaystyle \ln(1-y^2) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}n (-y^2)^n = - \sum_{n=1}^\infty \frac1n y^{2n}[/tex]
and replacing ln(1 - y²) in the integral with its series representation gives
[tex]\displaystyle -\frac12 \int_0^1 \frac1y \sum_{n=1}^\infty \frac{y^{2n}}n \, dy = -\frac12 \int_0^1 \sum_{n=1}^\infty \frac{y^{2n-1}}n \, dy[/tex]
Interchanging the integral and sum (see Fubini's theorem) gives
[tex]\displaystyle -\frac12 \sum_{n=1}^\infty \frac1n \int_0^1 y^{2n-1} \, dy[/tex]
Compute the integral:
[tex]\displaystyle -\frac12 \sum_{n=1}^\infty \frac1n \int_0^1 y^{2n-1} \, dy = -\frac12 \sum_{n=1}^\infty \frac{y^{2n}}{2n^2} \bigg|_0^1 = -\frac14 \sum_{n=1}^\infty \frac1{n^2}[/tex]
and we recognize the famous sum (see Basel's problem),
[tex]\displaystyle \sum_{n=1}^\infty \frac1{n^2} = \frac{\pi^2}6[/tex]
So, the value of our integral is
[tex]\displaystyle \int_0^{\frac\pi2} \tan(x) \ln(\sin(x)) \, dx = \boxed{-\frac{\pi^2}{24}}[/tex]
[tex]\displaystyle \int \limits_{0}^{ \frac{ \pi}{2} } \tt\tan (x) \ln ( \sin (x))\\ \\\displaystyle \sf{ \implies \: I = \int^{ \frac{\pi}{2} }_{0} \: \ln \left( sin \left( \dfrac{\pi}{2} - x \right) \right) \: dx } \\ \\\displaystyle \sf{ \implies \: I = \int^{ \frac{\pi}{2} }_{0} \: \ln \left( cos(x) \right) \: dx } \\ \\\displaystyle \sf{ \implies \:2I =\int^{ \frac{\pi}{2} }_{0} \:\ln \left( sin(x) \right) \: dx + \int^{ \frac{\pi}{2} }_{0} \: \ln \left( cos(x) \right) \: dx } \\ \\\displaystyle \sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \: \ln \left( sin(x) \right) +\ln\left( cos(x) \right) \: dx }[/tex]
[tex]\displaystyle \sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \: \ln \left( sin(x) \: cos(x) \right) \: dx } \\ \\\displaystyle\sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \: \ln \left( \dfrac{sin(2x)}{2}\right) \: dx } \\ \\\displaystyle \sf{ \implies \: 2I =\int^{ \frac{\pi}{2} }_{0} \:\ln \left( sin(2x) \right)\:dx-\ln(2) \int^{ \frac{\pi}{2} }_{0} \: dx}[/tex]
Put 2x = t, so,[tex]\displaystyle\sf{ \implies \: 2I = \dfrac{1}{2} \int^{ \pi}_{0} \: \ln \left( sin(t) \right) \:dt - \ln(2) \int^{ \frac{\pi}{2} }_{0} \: dx} \\ \\\displaystyle\tt{ \implies \: 2I = \dfrac{1}{2} \cdot2 \int^{ \frac{\pi}{2}}_{0} \: \ln \left( sin(t) \right) \: dt - \ln(2) \int^{ \frac{\pi}{2} }_{0} \: dx}[/tex]
[tex]\displaystyle \tt{ \implies \: 2I =\int^{ \frac{\pi}{2}}_{0} \: \ln \left( sin(t) \right) \: dt - \ln(2)\int^{ \frac{\pi}{2} }_{0} \: dx} \\ \\ \displaystyle \tt{ \implies \: 2I = I - \ln(2) \left[x \right] ^{ \frac{\pi}{2} }_{0} } \\ \\ \displaystyle \tt{ \implies \: I = -\ln(2)\left[ \dfrac{\pi}{2} - 0 \right] }[/tex]
[tex]\displaystyle \sf{ \implies \: I = - \dfrac{\pi}{2} \ln(2) }[/tex]
_____________________☞︎︎︎Apologies,if incorrect.
What is 26 out of 100 expressed as a ratio in simplified form?
26:100
..............................
26 percent in simplest form is the fraction 13/50. Since 'percent' means 'per hundred,' 26 percent would be equivalent to the fraction 26/100.
To get in shape for the upcoming track season two brothers, Scott and Brian, begin running home after school. Scott runs at a rate of 6 mph and Brian runs at a rate of 4 mph. If they leave school at the same time, Scott arrives home a half-hour before Brian. How long does it take Brian to get home from school
It takes Brian 1.5 hours to get home from school
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let d represent the distance from their school to the house and t represent the time (hours) it takes Brian to teach home.
For Brian:
4 = d/t
d = 4t
For Scott:
6 = d / (t - 1/2)
d = 6t - 3
4t = 6t - 3
2t = 3
t = 1.5 hours
Therefore it takes Brian 1.5 hours to get home from school
Find out more at: https://brainly.com/question/22889670
HELP WITH GEOMETRY HOMEWORK ASAP!!!
Answer:
26°
Step-by-step explanation:
90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)
154°+x°=180°
x°=180-154°
x°=26°
I need help I can’t find the anwer please help
Answer:
You: 3, 6, 9, 12
Friend:4, 8, 12, 16
Step-by-step explanation:
You/Friend ratio is 3/4
Missing numbers:
8 / (4/3) = 612 * (4/3) = 16Numbers:
You 3, 6, 9, 12
Friend 4, 8, 12, 16
Which is the quotient for 0.9 divide by 0.75
Answer:
1.2!
Step-by-step explanation:
The value of the numerical expression 0.90 ÷ 0.75 in the decimal form will be 1.20.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
0.90 and 0.75
Then the division between the numbers 0.90 and 0.75 will be given by putting a division sign between them. Then we have
⇒ 0.90 ÷ 0.75
⇒ 0.90 / 0.75
⇒ 1.20
The worth of the mathematical articulation 0.90 ÷ 0.75 in the decimal structure will be 1.20.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
How to expand
5(2m)^3
no link no bot right please
Answer:
27pi in^3
Step-by-step explanation:
the volume for a cone is (1/3)pi*r^2*h. r=3in, h=9in. so the volume is (1/3)*pi*3^2*9=27pi
What is the slope of the line through (-3, 3) and (-1,-1)?
2
(1-1)
O A. 2
O B.-2
O c.
OD. -
Last Friday, Erica earned $51 babysitting for 6 hours. At this rate, how many hours would Erica need to babysit in order to earn $272?
Answer: 32 hours
Step-by-step explanation: 51/6 = 8.5
So, Erica makes 8.5 dollars per hour. 272/8.5 = 32. Thus, Erica will need 32 hours.
Brainliest?
6. do Full body scan, Part II. The table below summarizes a data set we first encountered
in Exercise 6.32 regarding views on full-body scans and political affiliation. The differences in
each political group may be due to chance. Complete the following computations under the null
hypothesis of independence between an individual's party affiliation and his support of full-body
scans. It may be useful to first add on an extra column for row totals before proceeding with the
computations.
Party Affiliation
Republican Democrat Independent
Should
264
299
351
Answer Should not
38
55
77
Don't know/No answer 16
15
22
Total
318
369
450
(a) How many Republicans would you expect to not support the use of full-body scans?
(b) How many Democrats would you expect to support the use of full-body scans?
(c) How many Independents would you expect to not know or not answer?
Using the independence between an individual's party affiliation and his support of full-body scans, it is found that:
a) 57 Republicans would be expected to not support the use of full-body scans.
b) 305 Democrats would be expected to support the use of full-body scans.
c) 18 Independents would be expected to not know or not answer.
The independence between an individual's party affiliation and his support of full-body scans means that no matter the political party, the proportions for each option would be the same.
In the sample, there are 318 + 369 + 450 = 1137 people.
Item a:
38 + 55 + 77 = 170 people do not support the use of full-body scans.They should be equally divided between parties, hence:[tex]\frac{170}{3} = 56.67[/tex]
Rounding, 57 Republicans would be expected to not support the use of full-body scans.
Item b:
264 + 299 + 351 = 914 people support the use of full-body scans, hence:
[tex]\frac{914}{3} = 304.67[/tex]
Rounding, 305 Democrats would be expected to support the use of full-body scans.
Item c:
16 + 15 + 22 = 53 people do not know or do not answer, hence:
[tex]\frac{53}{3} = 17.67[/tex]
Rounding, 18 Independents would be expected to not know or not answer.
A similar problem is given at https://brainly.com/question/24372153
Choose the end behavior of the graph of each polynomial function
Answer:
D, A, B
Step-by-step explanation:
The sign of the leading coefficient always tells you the end behavior on the right: positive = rises; negative = falls.
The degree of the polynomial tells you how the left- and right-end behaviors compare: even = they are the same; odd = they are opposites.
__
A) negative leading coefficient, even degree:
falls to the left, falls to the right (D)__
B) positive leading coefficient, odd degree:
falls to the left, rises to the right (A)__
C) negative leading coefficient, odd degree
rises to the left, falls to the right (B)NEED HELP ASAP! TYSM IF YOU DO
Which of the following equations represents the greatest value of x?
Equation 1
x^2 = 17
Equation 2
x^2 = 26
Equation 3
x^3 = 64
Equation 4
x^3 = 27
Answer:
Equation 2 represents the greatest value of x!
Step-by-step explanation:
Let's solve each equation for x.
Equation 1; x = 4.1 (about)
Equation 2: x = 5 (about)
Equation 3: x = 4 (exact)
Equation 4: x = 3 (exact)
Hope this helps. :)
