Answer:
5
Step-by-step explanation:
Have a phd in mathematics! Congrats on your first question!!!! Send me a brainlist :)
The graph below shows the solutions to which inequality?
Divided 29 into two parts so that the sum of the squares of the parts is 425 . Find the value of each part.
Answer:
Step-by-step explanation:
Equations
x + y = 29
x^2 + y^2 = 425
Solution
y = 29 - x
x^2 + (29 - x)^2 = 425
x^2 + (841 - 58x + x^2 ) = 425
x^2 - 58x + x^2 + 841 - 425 = 0
2x^2 - 58x +416 = 0
a = 2
b = - 58
c = 416
You get two answers that look valid
2x^2 - 58x + 416 = 0
x^2 - 29x + 208 = 0 This factors
(x - 16)(x - 13) = 0
x = 16
y = 13
Now check it
16^2 + 13^2 = ? 425
256 + 169 = 425
Please answer question 14 C at rhe bottom and i will mark u whatever u want
Answer:
3km/h
Step-by-step explanation:
total distance ÷ total time = average speed
6 ÷ 2 = 3
Find the length of the segment that joins the points (-5,4) and (7,-1)
Answer:
13
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (7, - 1)
d = [tex]\sqrt{(7-(-5))^2+(-1-4)^2}[/tex]
= [tex]\sqrt{(7+5)^2+(-5)^2}[/tex]
= [tex]\sqrt{12^2+25}[/tex]
= [tex]\sqrt{144+25}[/tex]
= [tex]\sqrt{169}[/tex]
= 13
Please help me....Which inequality is true?
Answer:
opo
Step-by-step explanation:
kung Hindi kayo sure sa sagot ko sorry po
which graph shows a set of ordered pairs that represent a function. help im on a time limit!
Answer:
first one
Step-by-step explanation:
An arithmetic sequence follows a specific pattern where a number is _____________ to get from one term to the next.
Answer:
Added
Step-by-step explanation:
For example, take the arithmetic sequence of 3, 5, 7, 9...
Here, the number that gets us from the first number to the second (from 3 to 5), is 2. Meaning, we need to add 2 to 3 in order to get 5. I believe that makes "addition" or "added" the answer. Please let me know if I misunderstood and I will change my answer! Thank you!
Answer:
added or subtracted
Step-by-step explanation:
find m to cos²x-(m²-3)sinx+2m²-3=0 have root
Answer:
[tex]-\sqrt{2} \le m \le \sqrt{2}[/tex] would ensure that at least one real root exists for this equation when solving for [tex]x[/tex].
Step-by-step explanation:
Apply the Pythagorean identity [tex]1 - \sin^{2}(x) = \cos^{2}(x)[/tex] to replace the cosine this equation with sine:
[tex](1 - \sin^{2}(x)) - (m^2 - 3)\, \sin(x) + 2\, m^2 - 3 = 0[/tex].
Multiply both sides by [tex](-1)[/tex] to obtain:
[tex]-1 + \sin^{2}(x) + (m^2 - 3)\, \sin(x) - 2\, m^2 + 3 = 0[/tex].
[tex]\sin^{2}(x) + (m^2 - 3)\, \sin(x) - 2\, m^2 + 2 = 0[/tex].
If [tex]y = \sin(x)[/tex], then this equation would become a quadratic equation about [tex]y[/tex]:
[tex]y^{2} + (m^2 - 3)\, y + (- 2\, m^2 + 2) = 0[/tex].
[tex]a = 1[/tex].[tex]b = m^{2} - 3[/tex].[tex]c = -2\, m^{2} + 2[/tex].However, [tex]-1 \le \sin(x) \le 1[/tex] for all real [tex]x[/tex].
Hence, the value of [tex]y[/tex] must be between [tex](-1)[/tex] and [tex]1[/tex] (inclusive) for the original equation to have a real root when solving for [tex]x[/tex].
Determinant of this quadratic equation about [tex]y[/tex]:
[tex]\begin{aligned} & b^{2} - 4\, a\, c \\ =\; & (m^{2} - 3)^{2} - 4 \cdot (-2\, m^{2} + 2) \\ =\; & m^{4} - 6\, m^{2} + 9 - (-8\, m^{2} + 8) \\ =\; & m^{4} - 6\, m^{2} + 9 + 8\, m^{2} - 8 \\ =\; & m^{4} + 2\, m^{2} + 1 \\ =\; &(m^2 + 1)^{2} \end{aligned}[/tex].
Hence, when solving for [tex]y[/tex], the roots of [tex]y^{2} + (m^2 - 3)\, y + (- 2\, m^2 + 2) = 0[/tex] in terms of [tex]m[/tex] would be:
[tex]\begin{aligned}y_1 &= \frac{-b + \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(m^{2} - 3) + \sqrt{(m^{2} + 1)^{2}}}{2} \\ &= \frac{-(m^{2} - 3) + (m^{2} + 1)}{2} = 2\end{aligned}[/tex].
[tex]\begin{aligned}y_2 &= \frac{-b - \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(m^{2} - 3) - \sqrt{(m^{2} + 1)^{2}}}{2} \\ &= \frac{-(m^{2} - 3) - (m^{2} + 1)}{2} \\ &= \frac{-2\, m^{2} + 2}{2} = -m^{2} + 1\end{aligned}[/tex].
Since [tex]y = \sin(x)[/tex], it is necessary that [tex]-1 \le y \le 1[/tex] for the original solution to have a real root when solved for [tex]x[/tex].
The first solution, [tex]y_1[/tex], does not meet the requirements. On the other hand, simplifying [tex]-1 \le y_2 \le 1[/tex], [tex]-1 \le -m^{2} + 1 \le 1[/tex] gives:
[tex]-2 \le -m^{2} \le 0[/tex].
[tex]0 \le m^{2} \le 2[/tex].
[tex]-\sqrt{2} \le m \le \sqrt{2}[/tex].
In other words, solving [tex]y^{2} + (m^2 - 3)\, y + (- 2\, m^2 + 2) = 0[/tex] for [tex]y[/tex] would give a real root between [tex]-1 \le y \le 1[/tex] if and only if [tex]-\sqrt{2} \le m \le \sqrt{2}[/tex].
On the other hand, given that [tex]y = \sin(x)[/tex] for the [tex]x[/tex] in the original equation, solving that equation for [tex]x\![/tex] would give a real root if and only if [tex]-1 \le y \le 1[/tex].
Therefore, the original equation with [tex]x[/tex] as the unknown has a real root if and only if [tex]-\sqrt{2} \le m \le \sqrt{2}[/tex].
help please
h - (-2) ≥ 10
Answer:
answer
Step-by-step explanation:
h+2 ≥ 10
h ≥ 10 - 2
h ≥ 8
100 points and brainliest please:)
what is the square root of 256?
a 16
b 14
c 12
d 4
The square root of 256 = X^2
X ^2 = X x X
A) 16 x 16 = 256
The answer is a) 16
Answer:
A. ) 16
Step-by-step explanation:
[tex] \small \sf \: \sqrt{256} [/tex]
Write 256 in the exponential form with the base of 16
[tex] \small \sf \: \sqrt{16 {}^{2} } [/tex]
Reduce the index of the radical and exponent with 2
16
Find RS.
A. 12
B. 5
C. 9
it may be 12...........
Answer:
B) RS=5
Step-by-step explanation:
(2x-6)+(1)+(x-4)=18
2x-6+1+x-4=18
3x-9=18
3x=18+9
3x=27
x=9
Find RS
x-4
9-4
=5
How is mathematical thinking established? How can we have mathematical thinking?
修改翻译结果
Translate How is mathematical thinking established? How can we have mathematical thinking? in to Chinese.
数学思维是如何建立的？ 怎样才能有数学思维？
A gap 2 m deep has the shape of a truncated pyramid with rectangular bases. The length and width of the top base is 3x1.5 m and of the bottom base it is 1x0.5 m. To paint one square meter of a gap surface we need 0.25 liters, of a green paint color, How many liters of the paint color, we will need, if we want to paint just the side walls and the bottom base of the gap? Show working please.
Answer:
Volume of paint required is 3.125 litres.
Step-by-step explanation:
It would be noted that each side walls would have the shape of a trapezium. So that the areas of each wall can be determined as:
wall 1 = [tex]\frac{1}{2}[/tex](a + b) h
= [tex]\frac{1}{2}[/tex](0.5 + 1.5)2
= 2 [tex]m^{2}[/tex]
wall 2 = [tex]\frac{1}{2}[/tex](a + b) h
= [tex]\frac{1}{2}[/tex](1 + 3)2
= 4 [tex]m^{2}[/tex]
wall 3 = [tex]\frac{1}{2}[/tex](a + b) h
= [tex]\frac{1}{2}[/tex](0.5 + 1.5)2
= 2 [tex]m^{2}[/tex]
wall 4 = [tex]\frac{1}{2}[/tex](a + b) h
= [tex]\frac{1}{2}[/tex](1 + 3)2
= 4 [tex]m^{2}[/tex]
Total area of the walls = 2 + 2 + 4 + 4
= 12 [tex]m^{2}[/tex]
Area of the bottom base = l x b
= 1 x 0.5
= 0.5 [tex]m^{2}[/tex]
Total area to be painted = 12 + 0.5
= 12.5 [tex]m^{2}[/tex]
But to paint one square meter of a gap surface, we need 0.25 litres of a green paint color. Thus, to paint 12.5 [tex]m^{2}[/tex] of the gap surface:
12.5 x 0.25 = 3.125
The litres of paint required is 3.125.
Question 19 (5 points)
Determine the measure of
82.49
43.1°
55.0° °
46.3°
Answer: 43.1 degrees (choice B)
==================================================
Work Shown:
Use the law of sines
sin(A)/a = sin(C)/c
sin(A)/20 = sin(82)/29
sin(A) = 20*sin(82)/29
sin(A) = 0.68294349
A = arcsin(0.68294349)
A = 43.074088
A = 43.1 degrees
Answer:
43.1°
Step-by-step explanation:
Hello, just finished the quiz and the correct answer is 43.1 degrees.
Situation:
Find the substance's half-life, in days.
• Round your answer to the nearest tenth.
A 25 gram sample of a substance that's
used for drug research has a k-value of
0.1229.
Enter the correct answer.
N = Noe
-kt
DONE
No = initial mass (at time t = 0)
?
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days
Answer:
5.6 days
Step-by-step explanation:
We are given;
Initial Mass; N_o = 25 g
Mass at time(t); N_t = 25/2 = 12.5 (I divide by 2 because we are dealing with half life)
k = 0.1229
Formula is given as;
N_t = N_o•e^(-kt)
Plugging in the relevant values;
12.5 = 25 × e^(-0.1229t)
e^(-0.1229t) = 12.5/25
e^(-0.1229t) = 0.5
(-0.1229t) = In 0.5
-0.1229t = -0.6931
t = -0.6931/-0.1229
t = 5.6 days
Simplify 5^3 x 5^4
5^12
5^7
25^12
25^7
Please help ASAP. Please. The answer is one of those above.
Answer:
5⁷
Step-by-step explanation:
5³×5⁴
when bases are same powers are added
so..
5(³+⁴)
5⁷
Answer:
5^7
Step-by-step explanation:
Think of it like x^3 * x^4. Since when two variables with exponents are multiplied, the exponents are added, you get x^7. (But just use 5 instead of x.)
You can also check by seeing the result of 5^3*5^4 is 78,125 and 5^7 is also 78,125. Hope that helps!
What is the slope and y-intercept of the following equation:
= 13 − 4 (show your work pls)
Answer:
Slope is 1/3
Y intercept is -4
If (1/2)^n = 32, then what is n?
Answer:
2.32*10^-10
Step-by-step explanation:
n will change its position with 32
(1/2)^32=n
n=2.32*10^-10
fy
This graph shows a portion of an even function,
Use the graph to complete the table of values.
6
X
f(x)
-1
4
-3
-5
-6
2
DONE
2
Answer:
From top to bottom;
1,1,3,3
Step-by-step explanation:
mathematically, for an even function;
f(x) = f(-x)
what this mean is that;
f(-1) = f(1)
f(-3) = f(3)
f(-5) = f(5)
f(-6) = f(6)
so we have it that;
f(-1) = 1
f(-3) = 1
f(-5) = 3
f(-7) = 3
A worker has asked her supervisor for a letter of recommendation for a new job. She estimates that there is an 80 percent chance that she will get the job if she receives a strong recommendation, a 40 percent chance if she receives a moderately good recommendation, and a 10 percent chance if she receives a weak recommendation. She further estimates that the probabilities that the recommendation will be strong, moderate, and weak are 0.7, 0.2, and 0.1, respectively. a. How certain is sh
Answer:
65 percent certain to get the job
Step-by-step explanation:
The given parameters are;
The chance that she gets the job if she receives a strong recommendation, P(J|S) = 80 percent = 0.8
The chance that she gets the job if she receives a moderately good recommendation, P(J|M) = 40 percent = 0.4
The chance that she gets the job if she receives a weak recommendation = 10 percent, P(J|W) = 0.1
The probability that the recommendation will be strong, P(S) = 0.7
The probability that the recommendation will be moderate, P(M) = 0.2
The probability that the recommendation will be weak, P(W) = 0.1
Therefore, the probability that she gets the job given any condition, is given as follows;
P(J) = P(J|S)×P(S) + P(J|M)×P(M) + P(J|W)×P(W)
∴ P(J) = 0.8 × 0.7 + 0.4×0.2 + 0.1×0.1 = 0.65
Therefore, she is 65 percent certain to get the job
Maths Aryabhatta
Brainly moderators
Brainly Stars
Genius users of brainly
Solve the following pair of linear equations using substitution method :-
2x+3y + 5 = 0 ; 5x-3y+9=0
Answer:
(- 2, - [tex]\frac{1}{3}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x + 3y + 5 = 0 → (1)
5x - 3y + 9 = 0 → (2)
Rearrange (1) expressing 3y in terms of x by subtracting 2x + 5 from both sides
3y = - 2x - 5
Substitute 3y = - 2x - 5 into (2)
5x - (- 2x - 5) + 9 = 0 ← distribute parenthesis on left side and simplify
5x + 2x + 5 + 9 = 0
7x + 14 = 0 ( subtract 14 from both sides )
7x = - 14 ( divide both sides by 7 )
x = - 2
Substitute x = - 2 into either of the 2 equations and solve for y
Substituting into (1)
2(- 2) + 3y + 5 = 0
- 4 + 3y + 5 = 0
1 + 3y = 0 ( subtract 1 from both sides )
3y = - 1 ( divide both sides by 3 )
y = - [tex]\frac{1}{3}[/tex]
solution is (- 2, - [tex]\frac{1}{3}[/tex] )
Seriouslyy need help on this real answers only!
Answer:
C
Step-by-step explanation:
h(8) is given so D can't be true and A and B do not follow the domain and range restrictions
make b the subject of the formula
A=1/2bh
Answer:
[tex] \blue{b = \dfrac{2A}{h}} [/tex]
Step-by-step explanation:
[tex] A = \dfrac{1}{2}bh [/tex]
Step 1. Switch sides.
[tex] \dfrac{1}{2}bh = A [/tex]
Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.
[tex] 2 \times \dfrac{1}{2}bh = 2 \times A [/tex]
[tex] bh = 2A [/tex]
Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.
[tex] \dfrac{bh}{h} = \dfrac{2A}{h} [/tex]
Answer:
[tex] b = \dfrac{2A}{h} [/tex]
WILL GRANT BRAILIEST PLZ REAL ANSWERS ONLY OR REPORTING!
Hello,
If the question is simplify then
we suppose x not equal to 5 and x not equal to -5
[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\=\dfrac{(x-5)^2}{(x-5)(x+5)} \\\\=\dfrac{x-5}{x+5} \\\\[/tex]
else
if the question is to find the euclidian 's quotient then
[tex]\dfrac{x^2-10x+25}{(x-5)(x+5)} \\\\= 1 + \dfrac{-10x+30}{x^2-25} \\\\=1-\frac{10}{x+5} \\[/tex]
euclian's quotient is 1
remainder is -10/(x+5)
the salesperson recieved $2,800 commission on her 35% share of the total commission on the sale of a property that was sold for $160,000. What was the commission rate?
Answer:
5%
.35x = 2800
x = 8000
p(160,000)=8000
p=.05 = 5%
Step-by-step explanation:
Which of the following is the parent function of all absolute value functions?
f(x) = 3x
f(x) = |x|
f(x) = 2|x|
f(x)=x²
a person earns 17/5 dollars in 1/2 hours. What is the unit rate in dollars pure hour
Answer:
35 2/3 dollars per hour
Step-by-step explanation:
The unit rate in dollars per hour is 6.8 dollars per hour.
To find the unit rate in dollars per hour, we need to divide the amount earned by the time taken.
The person earns 17/5 dollars in 1/2 hours. To calculate the unit rate in dollars per hour, we divide the amount earned (17/5 dollars) by the time taken (1/2 hours):
Unit rate = (Amount earned) / (Time taken) = (17/5 dollars) / (1/2 hours)
To divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction:
Unit rate = (17/5 dollars) x (2/1 hours)
Simplifying the expression:
Unit rate = (17 x 2) / (5 x 1) = 34/5 = 6.8
Therefore, the unit rate in dollars per hour is 6.8 dollars per hour.
To know more about an expression follow
https://brainly.com/question/28699958
#SPJ2
Find cos R.
A. cos R =29/21
B. cos R =21/20
C. cos R =21/29
D. cos R =20/29
Answer:
The answer is 12 %R
Step-by-step explanation:
Answer:
[tex]\text{C. }\cos R=21/29[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse.
From the diagram, we know:
Angle R's adjacent side is 21The hypotenuse (longest side) of the right triangle is 29Therefore, the cosine of angle R must be [tex]\boxed{\frac{21}{29}}[/tex]
One national survey found that 86 percent of those who were unhappily married, but who stayed with the marriage, were when reinterviewed five years later:
Comolete question is;
One national survey found that 86 percent of those who were unhappily married but who stayed with the marriage were, when re-interviewed five years later,
A) preparing to divorce
B) resigned to the situation
C) mostly "very" or "quite" happy
D) mostly "very" happy
Answer:
C) mostly "very" or "quite" happy
Step-by-step explanation:
From social psychology, we know that;
Sometimes people could be happy about something but later on as things progress they become satisfied and are happy about that same thing or person.
The same is the case here with marriage and more importantly in this research.
It says they were unhappily married but they stayed in the marriage and were interviewed 5 years after that. Thus, for them to stay that long even after being unhappy, it means that they began to become a bit happy along the line.
Thus, they would gradually become happy or mostly happy.
due in an hour! hour
Answer:
Step-by-step explanation:
Hope this helps u !!
Answer:
( 1 , 2 )
Step-by-step explanation:
x + 4y = 9
x = 9 - 4y .... ( 1)
2x - 4y = -6 ...( 2)
substitute the 9 - 4y as x in the second equation
2( 9 - 4y ) - 4y = -6
distribute 2
18 - 8y - 4y = -6
combine like terms
18 - 12y = -6
Subtract 18 from both sides
18 - 18 - 12y = -6 - 18
- 12y = - 24
divide both sides by -12
-12y / -12 = -24/-12
y = 2
Now , substitute the 2 as y in the second equation
2x - 4y = -6
2x - 4 ( 2 ) = -6
2x - 8 = -6
add 8 to both sides
2x - 8 + 8 = -6 + 8
2x = 2
divide both sides by 2
2x / 2 = 2/2
x = 1.
