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Answer:
B) (4,–1)
Step-by-step explanation:
A graph can help you figure this out. The point (4, -1) is in the doubly-shaded area, so is a solution to this system.
==========================================================
Explanation:
Choice A can be ruled out because
[tex]y \le x+1\\\\5 \le 0+1\\\\5 \le 1\\\\[/tex]
which is false.
Choices C and D are similar, so they can be ruled out as well.
---------------------
Choice B is the answer because it makes both inequalities true.
If we plug the coordinates of (4,-1) into the first inequality, we get
[tex]y > -x\\\\-1 > -4[/tex]
which is a true statement because -1 is to the right of -4 on the number line.
Now try the other inequality
[tex]y \le x+1\\\\-1 \le 4+1\\\\-1 \le 5\\\\[/tex]
that's true also. So again, (4,-1) makes both inequalities true, and that's why choice B is the answer.
Pleaseee helllppppp!
Given:
The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex].
To find:
The value of [tex]\sin \theta[/tex].
Solution:
If the terminal point of [tex]\theta[/tex] is [tex](x,y)[/tex], then
[tex]\sin \theta = \dfrac{y}{\sqrt{x^2+y^2}}[/tex]
The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex]. So,
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\left(\dfrac{1}{2}\right)^2+\left(\dfrac{\sqrt{3}}{2}\right)^2}}[/tex]
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\dfrac{1}{4}+\dfrac{3}{4}}}[/tex]
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{1}}[/tex]
[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{1}[/tex]
[tex]\sin \theta =\dfrac{\sqrt{3}}{2}[/tex]
Therefore, the correct option is B.
Find the intersection of the line and the circle given below
y=-x-3
x^2+y^2=17
Answer:
There are two points of intersection
(-4,1) and (1,-4)
Step-by-step explanation:
Answer:
the guy above me is correct
Step-by-step explanation:
Please help! Brainiest will be given for correct answers only.
Answer:
see below
Step-by-step explanation:
x^2 + 10x+25 =0
This is the sum of squares
(x+5)^2 =0
x = -5 one solution
x^2 +5x = 0
x(x+5) = 0
x=0 x=-5 two solutions
x^2 -10x +25 = 0
This is the difference of squares
(x-5)^2 = 0
x=5 one solution
x^2 -25 =0
x^2 = 25
x = ±5 two solutions
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex] x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 [/tex]
one solution[tex]x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 [/tex]
two solution[tex]x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2[/tex]
one solution[tex]x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 [/tex]
two solutionmoses is inviting 10 friends to a party each friend wants 4 cookies and each box has 10 cookies how many boxes should moses get?
Answer:
4
Step-by-step explanation:
Since each friend wants 4 cookies, and there are 10 friends, there are 10 x 4 = 40 cookies total Moses should buy. Since each cookie box has 10 cookies in it, he should buy 40/10 = 4 total cookie boxes.
Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Step-by-step explanation:
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded
Let x represent the regular price of any book in the store. Write an expression that can be used to find the sale price of any book in the store.
Answer:
.
e
Step-by-step explanation:
.
A principal P is to be invested at continuous compound interest of 1.9% to yield $50,000 in 20 years. What is the approximate value of P to be invested?
You may need to delete the dollar sign and/or the comma when typing in the answer.
=======================================================
Work Shown:
[tex]A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\[/tex]
Side note: the 'e' is a special constant roughly equal to 2.71828...
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within with % confidence if (a) she uses a previous estimate of ? (b) she does not use any prior estimates?
Answer:
732 samples ;
752 samples
Step-by-step explanation:
Given :
α = 90% ; M.E = 0.03 ; p = 0.58 ; 1 - p = 1 - 0.58 = 0.42
Using the relation :
n = (Z² * p * (1 - p)) / M.E²
Zcritical at 90% = 1.645
n = (1.645² * 0.58 * 0.42) / 0.03²
n = 0.65918769 / 0.0009
n = 732.43076
n = 732 samples
B.)
If no prior estimate is given, then p = 0.5 ; 1 - p = 1 - 0.5 = 0.5
n = (Z² * p * (1 - p)) / M.E²
Zcritical at 90% = 1.645
n = (1.645² * 0.5 * 0.5) / 0.03²
n = 0.67650625 / 0.0009
n = 751.67361
n = 752 samples
Accidents on highways are one of the main causes of death or injury in developing countries and the weather conditions have an impact on the rates of death and injury. In foggy, rainy, and sunny conditions, 1/6, 1/12, and 1/21 of the accidents result in death, respectively. Sunny conditions occur 64% of the time, while rainy and foggy conditions each occur 18% of the time.
What is the probability that an accident results in a death? Round your answer to three decimal places (e.g. 98.765).
shining dnkxdvsuxnxkjdndnx
A dress is on sale for $98. What was the original price of the dress if the discount was 1/3 of the original price?
The original price of the dress is $294 if the dress is on sale for $98.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
A dress is on sale for $98.
Discount price = (1/3)original price
Let x be the original price of the dress.
We can make a mathematical equation:
(1/3)x = 98
x = $294
Thus, the original price of the dress is $294 if the dress is on sale for $98.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
The image is attached below. Thank you
Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
same as the person above plato 2022'
Your help is very much appreciated and I will mark you brainliest:)
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Answer:
(c) Yes, SSS
Step-by-step explanation:
The three pairs of corresponding sides have the same ratio:
12/8 = 15/10 = 21/14 = 3/2
The triangles are similar by SSS.
_____
No angles are shown, so SAS and AAA cannot apply.
find find the equation of straight line find the equation of straight line joining the points 3 4 and 5 7
Find the measure of each side of this triangles. Answer in exact form.
Answer:
[tex]sin(0)=opposite/hypotenuse,cos(0)=adjacent/hypotenuse[/tex]
[tex]sin(60)=\frac{x}{8\sqrt{5} } ,\:\:cos(60)=\frac{y}{8\sqrt{5} }[/tex]
[tex]\frac{\sqrt{3} }{2} =\frac{x}{8\sqrt{5} } \:\:\:\:\frac{1}{2} =\frac{y}{8\sqrt{15} }[/tex]
[tex]2x=8\sqrt{5} \times\sqrt{3} \:\;\:\:2y=1\times8\sqrt{15}[/tex]
[tex]2x=\frac{8\sqrt{15} }{2} \:\:\:\:2y=8\sqrt{15}[/tex]
[tex]x=8\sqrt{15} /2\:\:\: y=8\sqrt{15} /2[/tex]
[tex]x=4\sqrt{15}[/tex] [tex]y=4\sqrt{15}[/tex]
OAmalOHopeO
Julio has a net pay of $ 537.00 each paycheck. He pays $ 142.00 in pre-tax deductions and taxes each paycheck. What is Julio's gross income before the tax deductions?
Answer:
Julio's gross income before the tax deductions is $ 405.
Step-by-step explanation:
Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:
547 - 142 = X
405 = X
Therefore, Julio's gross income before the tax deductions is $ 405.
PLEASE HELP AND BE CORRECT BEFORE ANSWERING
Answer:
False, false
Step-by-step explanation:
I’m not 100% sure but I think that’s the correct answer
Economists have found that the amount of corruption in a country's government is correlated to the gross domestic product (GDP) per capita of that country. This can be modeled by y=1400(1.05)^x where x is the corruption score and y is GDP per capita in dollars. Corruption scores range from 0 to 100 with 0 being highly corrupt and 100 being least corrupt.
What does the y-intercept of this function represent?
A. the corruption score needed for a GDP per capita of zero
B. the increase in GDP per capita for every increase of one in corruption score
C. the GDP per capita of a country with a corruption score of zero
D. the GDP per capita necessary to decrease the corruption score by one
Economists found that amount of corruption in a country is correlated to the Gross domestic products of the country.
Whenever there is high corruption in a country it leads to great negative impacts on the economic growth of that country.
The equation represents the the corruption score for every dollar per capita rise.
The slope of the equation will represent the GDP per capita of a country with corruption score of zero.
The correct answer is C.
C. The GDP per capita of a country with a corruption score of zero.
multiplication between exponentiation number 648
Answer:
648 is the sum of consecutive prime numbers 317 and 331.
The sixth root of 648 begins with 2.941682753. Notice all the digits from 1 to 9 appear somewhere in those nine decimal places. OEIS.org states that 648 is the smallest number that can make that claim.
From Archimedes-lab.org I learned some powerful facts about the number 648:
16² – 17² + 18² – 19² + 20² – 21² +22² – 23² + 24² – 25² + 26² – 27² + 28² – 29² + 30² – 31² + 32² = 648
48² – 47² + 46² – 45² + 44² – 43² +42² – 41² + 40² – 39² + 38² – 37² + 36² – 35² + 34² – 33² = 648
(1^2)(2^3)(3^4) = 648
18² + 18² = 648
(6^3) + (6^3) + (6^3) =648
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Print the puzzles or type the solution on this excel file: 10 Factors 2015-10-12
—————————————————————————————————
648 is a composite number.
Prime factorization: 648 = 2 x 2 x 2 x 3 x 3 x 3 x 3, which can be written 648 = (2^3) x (3^4)
The exponents in the prime factorization are 3 and 4. Adding one to each and multiplying we get (3 + 1)(4 + 1) = 4 x 5 = 20. Therefore 648 has exactly 20 factors.
Factors of 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Factor pairs: 648 = 1 x 648, 2 x 324, 3 x 216, 4 x 162, 6 x 108, 8 x 81, 9 x 72, 12 x 54, 18 x 36, or 24 x 27
Taking the factor pair with the largest square number factor, we get √648 = (√324)(√2) = 18√2 ≈ 25.455844122…
PLEASE HELP QUICKLY
Determine whether the given sequence could be arithmetic. If so, identify the first difference and the next term.
-6, -11, -16, -21, -26.....
Answer:
The first difference is -5. The next term is -31.
Step-by-step explanation:
If you find the difference between -6 and -11, then you get -5.
And, all the other ones also have differences of -5, so basically, the next term is -31.
Thanks! Please mark me Brainliest!
Answer:
It could be arithmeticIf so, then the first difference is -5 and the next term is -31===================================================
Explanation:
Pick any term and subtract off the previous term
term2 - term1 = -11 - (-6) = -11 + 6 = -5term3 - term2 = -16 - (-11) = -16 + 11 = -5term4 - term3 = -21 - (-16) = -21 + 16 = -5term5 - term4 = -26 - (-21) = -26 + 21 = -5No matter what we picked, we end up with the same result which is -5. This is the common difference aka first difference.
If this pattern keeps up forever, then the sequence is arithmetic.
And if the pattern keeps up, then the next term would be
term6 = term5 + (common difference)
term6 = -26 + (-5)
term6 = -31
Note: Adding -5 is the same as subtracting 5.
I need help with answering this equation
Answer:
in this case it is just multiplying the two items together
the THIRD CHOICE...
3x(x^2-5x-9)
3x^3 -15x^2 -27x
Step-by-step explanation:
Answer:
3x^3-15x^2-27x
Step-by-step explanation:
the function f (gx) means you have to substitute the function of gx in the function of fx were there's x
3x(x^2-5x-9)
3x^3-15x^2-27x
I hope this helps
Which system of inequalities is shown?
Answer:
y<x
y<4
Step-by-step explanation:
this is because the first line is passing through the point 4 on the y axis but the line drawn isn't a solid line therefore the answer will just be y<4, not less than or equal to.
while for the second line it's cutting the graph into two equal parts,the shaded part represents y<x you can prove it by getting two points on that side of the graph let's say (-5,5)
this will be -5<5..which is right.
I hope this helps
the measures of three angles of a triangle are given by (8x-10), (2x), and (3x-5). What is the measure of the larges tangle
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Answer:
110°
Step-by-step explanation:
The sum of angles of a triangle is 180°.
(8x -10) +(2x) +(3x -5) = 180
13x -15 = 180
13x = 195
x = 15
The largest angle is ...
8x -10 = 8(15) -10 = 110 . . . . degrees
solve each question please thank you
Answer:
SURE
Step-by-step explanation:
HELP
1) Determine the sum of row 19 in Pascal's triangle
Answer: 262144
Step-by-step explanation: You can calculate & draw it out. Then, add the values in the second-to-bottom row of the picture below.
262144 if I'm correct....
Noah charges $20 for each lawn that he mows.
Answer:
m = 20 * n
Step-by-step explanation:
The money that he earns is equal the amount earned per lawn times the amount of lawns that he mows
m = 20 * n
Answer:
60 = 3 x 20
Step-by-step explanation:
60 = m
3 = c
20 = n
A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57% hydrogen peroxide to make the desired solution?
Answer:
16 mls of the 75% solution and 20 mls of the 0.57% solution.
Step-by-step explanation:
Set up a system of equations:
Let x = volume of 75% solution and y be volume of 57% solution
0.75x + 0.57y = 36*0.65
0.75x + 0.57y = 23.4.......(1)
x + y = 36.........(2)
From equation (2):
y = 36 - x
Substituting this into equation(1):
0.75x + (0.57(36 - x) = 23.4
0.75x + 20.52 - 0.57x = 23.4
0.18x = 23.40 - 20.52 = 2.88
x = 2.88/0.18
x = 16
so from equation (2): y = 36-16 = 20.
Which table represents a linear function? Y X y 7 1 XEM 1 N N 9 13 21 Ž 3 -- 4 2 4 O 6 16 30. witch table is a liner function.
Answer:
1st option (top left)
Step-by-step explanation:
1st option represents a linear function
y = x/2
Answered by GAUTHMATH
Find the number that comes after 144five
Answer:
The number that comes after 144five is:
= 200five.
Step-by-step explanation:
Adding 1 to 144 base 5 will result in:
144
+ 1
= 200
b) To obtain the next number that comes after 144five, add 1five to 144five. Since the numbers are in base 5, 1five added to 4five will result in 0 with 1 carried backward. When 1 is added to the next 4, the result will be 0 with 1 carried backward. 1 added to 1 = 2, all in base 5. Figures in base 5 cannot exceed 4. The usual numbers for a base 5 operation are 0, 1, 2, 3, and 4.
I need help with this
Answer:
[see below]
Step-by-step explanation:
Reflection over the x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]
(0, -2) - > (0, 2)
(5, -1) - > (5, 1)
(2, -4) - > (2, 4)
A'B'C' should be (0,2), (5,1) and (2,4). (Or option B)
Hope this helps.
Plzz help me with my summer school work