Answer:
Exact Form: x = −10 + √19
Answer: x = -3, 7
(I edited it) This would be my best guess based on the answers you provided
Brainliest Pls
\(-3\) is the solution to the equation \(\sqrt{-2x-5}\) \(-4=x\).
What is solution of an equation?
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true. For equations having one unknown, raised to a single power, two fundamental rules of algebra, including the additive property and the multiplicative property, are used to determine its solutions.
According to the questions, we have the following equation:
\(\sqrt{-2x-5}\)\(-4=x\)
⇒\(-2x-5=(x+4)^{2}\)
⇒\(-2x-5=x^{2} +16+8x\)
⇒\(x^{2} +10x+21=0\)
⇒\((x+5)=2\)\(,-2\)
⇒\(x=-3,-7\)
\(x=-3\) satisfies the equation.
Hence,\(-3\) is the solution to the equation \(\sqrt{-2x-5}\)\(-4=x\)
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If there are 5 females in a classroom, and 4 males, but 4 of the females are students, whos the other female? please only answer if you know ive been stuck on this for hours
Answer:
1 teacher female
Step-by-step explanation:
Answer:
Teacher?
Step-by-step explanation:
Well if the other female isn't a student then it must be the teacher.
in general, assuming > 0, what is the probability that the decoder will know with certainty what the source bit was?
The characteristics of the channel or transmission medium, and other factors related to the specific system being considered.
What is the probability that the decoder will know with certainty what the source bit was?If we assume that the probability of error (the probability that the decoder will make a mistake) is greater than 0, then the probability that the decoder will know with certainty what the source bit was is 1 minus the probability of error.
Let's denote the probability of error as p_error. The probability that the decoder will know the source bit with certainty (probability of correct decoding) can be expressed as:
P_correct = 1 - p_error
Since we assume that p_error is greater than 0, the probability of correct decoding will be less than 1 but greater than 0.
It's important to note that this is a general concept and the specific value of p_error would depend on the decoding algorithm, the characteristics of the channel or transmission medium, and other factors related to the specific system being considered.
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ill mark brainlist plss help
Answer:
345,512
Step-by-step explanation:
one liter is a thousand ml, so u just have to multiply
each side of a square is increasing at a rate of 4 cm/s. at what rate is the area of the square increasing when the area of the square is 64 cm2?
Given that each side of a square is increasing at a rate of 4 cm/s. At what rate is the area of the square increasing when the area of the square is 64 cm²?We are required to find the rate of increase of the area of a square when its area is 64 cm². Let us begin with what we know about the square.
Let the side of the square be s at any time. Now, when the sides of a square increase, the area of the square also increases proportionally by the square of the length of the sides. Thus, when the side is s, the area is s². Now, when the side of the square increases by ds/dt = 4 cm/s, the side becomes s + ds and the area becomes (s + ds)² or s² + 2*s*ds + (ds)². Now, we need to determine the rate at which the area of the square is increasing. Thus, we differentiate the area with respect to time, t.dA/dt = d/dt(s² + 2*s*ds + (ds)²)We know that the rate of increase of the side of the square is ds/dt = 4 cm/s. Thus, we can the value of ds in the above equation. dA/dt = d/dt(s² + 2*s*ds + (ds)²)= d/dt(s²) + d/dt(2*s*ds) + d/dt(ds²)Let us differentiate each term separately.= 2s*ds/dt + 2s*ds/dt + 2ds/dt²= 4s*(4) + 2(4)(ds)²On substituting s = 8 and ds/dt = 4 cm/s, we get: dA/dt = 2 * 8 * 4 + 2 * 4 * 4= 64 + 32= 96 cm²/sThus, the rate at which the area of the square is increasing is 96 cm²/s when the area of the square is 64 cm².
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Can someone please help me with math.
Answer:
Step-by-step explanation:
1) Number of nickels = x
Number of quarter = y
x + y = 7 ----------------------(I)
x = 7 - y ------------------------(II)
0.05x + 0.25y = 0.55 -----------(III)
Substitute s = 7 - y in equation (III)
0.05*(7 - y) + 0.25y = 0.55
0.05*7 - 0.05*y + 0.25y = 0.55
0.35 - 0.05y + 0.25y = 0.55 {Combine like terms}
0.35 + 0.20y = 0.55 {Subtract 0.35 from both sides}
0.2y = 0.55 - 0.35
0.2y = 0.2 {Divide both sides by 0.2}
y = 0.2/0.2
y = 1
Substitute y =1 in equation (II)
x = 7 - 1
x = 6
Number of nickels = 6
Number of quarter = 1
2) Number of children tickets = x
Number of adult tickets = y
x + y = 40 -----------------(I)
x = 40 - y -----------------(II)
2x + 5y = 170 -----------------(III)
Substitute x = 40 - y in equation (III)
2*(40-y) + 5y = 170
2*40 - 2*y + 5y = 170
80 - 2y + 5y = 170 {Combine like terms}
80 + 3y = 170 {Subtract 80 from both sides}
3y = 170 - 80
3y = 90 {Divide both sides by 3}
y = 90/3
y = 30
Substitute y = 30 in equation (II)
x = 40 - 30
x = 10
Number of children tickets = 10
Number of adult tickets =30
Which one is it???????
HELP ASAP WILL MARK BRAINLEST!!!!!
Answer:
THE ANSWER IS 45 thank me later!!!
Step-by-step explanation:
Is (–39, 42) a solution to the equation y = x + 81?
Answer:
Yes
Step-by-step explanation:
Yes because if you insert -39 for x and 42 for y then your equation is:
42 = -39 + 81
If you were to solve this equation it would be true.
Evaluate each finite geometric series. 1/5 + 1/10 + 1/20 + 1/40 + 1/80
Evaluate each finite geometric series.
1/5 + 1/10 + 1/20 + 1/40 + 1/80=0.3875
What is the sum of a finite geometric series?
Given:
a=1/5
r=5/10 = 1/2
n=5
\(S_n=\frac{a(1-r^{n} )}{1-r} \\\\S_5=\frac{\frac{1}{5}(1-(\frac{1}{2}))^{5} }{1-\frac{1}{2} } \\\\S_5=\frac{1}{5} (\frac{31}{32} *\frac{2}{1}) \\\\S_5=\frac{1}{5} (\frac{31}{16} )\\\\S_5=0.3875\)
What is a finite geometric series?
A geometric series is a series with a geometrically connected progression. A geometric series is a list of numbers where each number, or term, is found by multiplying the preceding term by a common ratio r. Because there are only a finite number of terms, we refer to this geometric series as a finite geometric series (an infinite geometric series continues on forever.)To learn more about finite geometric series, refer:
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The local Candy Shop sells Jelly Beans for $2 per pound, and homemade Chocolate Melts for $3 per pound. Kelsi has no more than $12 to spend.
write the inequality of the equation
x-jelly beans
y- chocolate melts
Hi Student!
The first step to solving our question is to understand the problem statement and to extract important information that will be useful. We are told that the local candy shops sells Jelly Beans for $2 a pound and Chocolate Melts for $3 a pound. We are also told that Kelsi has no more than $12 to spend. Finally, we are told that the purpose of this question is to write an inequality to capture the scenario.
We know that we have two variables, the variable x for jelly beans and the variable y for chocolate melts. Creating an inequality we need to capture the total of these two should be no more than $12. This means that it isn't just less than $12 but that it can also include $12; therefore, we use a less-than-equal sign.
Create an expression
\(\textsf{Price * Item + Price * Item}\leq \textsf{Spend Limit}\)This inequality captures the goal of our expression which is to see how two items combined should be less than the total price that we want to spend. Let's create a new inequality with updated numbers with our information.
Plug in values
\(\textsf{2 dollars * x + 3 dollars * y}\leq \textsf{12 dollars}\)\(\$2 x + \$3y\leq \$12\)Simplify to just numbers
\(2 x + 3y\leq 12\)After plugging in the values, we have a lot of unnecessary information such as the dollars signs or words so we can remove that and just have the numbers to show that is going on.
Therefore, our final answer is that the inequality that best represents this scenario is \(2 x + 3y\leq 12\)
Find the values of x and y
9514 1404 393
Answer:
x = 1y = 4Step-by-step explanation:
In order to solve this problem, we must assume the given triangles are congruent.
__
Equating expressions for the hypotenuse, we have ...
10x = 2x +8
8x = 8 . . . . . . . . subtract 2x
x = 1 . . . . . . . . . . divide by 8
Equating expressions for the bottom legs, we have ...
y +2x = 10x -y
2y = 8x . . . . . . . . add y-2x
y = 4x = 4(1) . . . . divide by 2, substitute for x
y = 4
1. demand can be said to control supply and demand.
(Consumer, Producer)
Answer:
The law of demand says that at higher prices, buyers will demand less of an economic good. The law of supply says that at higher prices, sellers will supply more of an economic good. These two laws interact to determine the actual market prices and volume of goods that are traded on a market.
Supply is generally considered to slope upward: as the price rises, suppliers are willing to produce more. Demand is generally considered to slope downward: at higher prices, consumers buy less. ... The relationship between the supply and demand for a good (or service) and changes in price is called elasticity.
find the square of 20.
Answer:
400
Step-by-step explanation:
\( {20}^{2} = 20 \times 20\)
that is equal to 400
Answer: 400
Step by step explanation:
20*20= (2*2)*(10*10)= 4*100=400
which equation represents the model?
Answer:
think its A
Step-by-step explanation:
HELP ME PLEASE 30 points !!
Answer:
(0,1.5) (0,-3)
Step-by-step explanation:
Hope it helps :)
Given Circle G with radius r, what is the formula for the area of the segment (unshaded region)
Answer:
Option D
Step-by-step explanation:
The triangle ABJ is equitorial
So area
√3/4r²Then mBJ is a arc which is 1/6th of circle
Area.
π/6r²So area of unshaded region
πr²/6-√3/4r²r²(π/6-√3/4)Answer:
\(\textsf{d.} \quad r^2\left(\dfrac{\pi}{6}- \dfrac{\sqrt{3}}{4}\right)\)
Step-by-step explanation:
To find the area of the unshaded region, subtract the area of ΔJGB from the area of sector JGB.
The measure of an arc is equal to its corresponding central angle measure. Therefore, the central angle of sector JGB is 60°.
As the two sides of ΔJGB adjacent the central angle are the radii of the circle (and therefore equal in length), ∠GJB = ∠GBJ.
Interior angles of a triangle sum to 180°. Therefore, all interior angles of ΔJGB are 60° which makes it an equilateral triangle.
Area of an equilateral triangle:
\(\sf A=\dfrac{\sqrt{3}}{4}a^2 \quad \textsf{(where a is the side length)}\)
As the side length of the given equilateral triangle is the radius (r):
\(\implies \sf Area\:of\:triangle=\dfrac{\sqrt{3}}{4}r^2\)
To find the area of the sector, first convert degrees to radians by multiplying the degrees by π/180 :
\(\implies 60^{\circ}=60 \times \dfrac{ \pi}{180}=\dfrac{\pi}{3}\:\:\sf radians\)
Area of a sector of a circle
\(\textsf{A}=\dfrac12 r^2 \theta \quad \textsf{(where r is the radius and the angle }\theta \textsf{ is in radians)}\)
Substituting the angle in radians, the area of the sector is:
\(\implies \sf A=\dfrac{1}{2}r^2\left(\dfrac{\pi}{3}\right)\)
\(\implies \sf A=\dfrac{\pi}6}r^2\)
Area of the unshaded region:
\(\begin{aligned}\textsf{Area of unshaded region} & =\textsf{Area of sector} - \textsf{Area of triangle}\\\\& = \dfrac{\pi}{6}r^2 - \dfrac{\sqrt{3}}{4}r^2\\\\& = r^2\left(\dfrac{\pi}{6}- \dfrac{\sqrt{3}}{4}\right)\end{aligned}\)
Therefore, the solution is option D.
Consider a relation R, on the set N of natural numbers defined as: R={(i, j) | =j (mod)n), where n 21 and i=j (mod)n is shorthand for i and leave the same remainder when divided by n. Place a T next to each statement below if it is true, and F if false. 1. R₁, is reflexive. 2. R is symmetric. 3. R₁, is transitive.
1. R₁ is reflexive. : False2. R is symmetric. : True3. R₁ is transitive. : True
Explanation:Let’s find the solutions one by one below :
1. R₁, is reflexive. : False
Reflexive relation is a relation that maps each element to itself. i.e, if x ∈ A, then x R x. If (i, j) ∈ R₁, then i and j both leave the same remainder on dividing by n.i.e, i = k₁n + r and j = k₂n + r where k₁, k₂ are any integers and r is the remainder then (i, j) ∈ R₁Then, i and i leave the same remainder on dividing by n, therefore (i, i) ∈ R₁.
So, R₁ is reflexive relation. Hence, the given statement is false.
2. R is symmetric. : True
Symmetric relation is a relation such that if (a, b) is in R, then (b, a) is in R. If (i, j) ∈ R, then i and j both leave the same remainder on dividing by n.i.e, i = k₁n + r and j = k₂n + r where k₁, k₂ are any integers and r is the remainder then (j, i) ∈ R.Thus, R is a symmetric relation.
Hence, the given statement is true.
3. R₁, is transitive. : True
Transitive relation is a relation such that if (a, b) and (b, c) are in R, then (a, c) is in R. Let (i, j), (j, k) ∈ R₁, theni = k₁n + r₁ and j = k₂n + r₁j = k₃n + r₂ and k = k₄n + r₂ (r₁ = r₂)where k₁, k₂, k₃, k₄ are any integers and r₁, r₂ are the remainders.Then, i = k₁n + r₁, j = k₂n + r₁ and k = k₄n + r₂i.e, i = k₁n + r₁, k = k₄n + r₂so, i and k leave the same remainder on dividing by n, therefore (i, k) ∈ R₁.
Hence, R₁ is a transitive relation. Therefore, the given statement is true.
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How do you find the volume under the surface and above the rectangle?
To find the volume under a surface and above a rectangle, use a double integral. Integrate the surface function over the rectangle and approximate using Riemann sums or numerical methods to obtain an estimate of the volume
To find the volume under a surface and above a rectangle in three-dimensional space using a double integral, we can follow these steps:
Determine the limits of integration for x and y based on the rectangle R. Write the function f(x,y) that defines the surface. Set up the double integral with the limits of integration and the function f(x,y). Evaluate the integral using appropriate integration techniques.To learn more about volume of three-dimensional space:
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Simplify using positive exponents
Answer:
4 with the 24
Step-by-step explanation:
can someone simplify this please thx
Answer:
3c/2y
Step-by-step explanation:
\(\frac{4c}{3} * \frac{9}{8y} = \frac{c}{3} * \frac{9}{2y} = \frac{c}{1} *\frac{3}{2y } = \frac{3c}{2y}\)
The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The proportion of officers who are younger
than 18 is 0. 6. The table displays all possible samples of size 2 and the corresponding proportion for each sample,
17, 16
17, 15
16
1
1
1
Sample n = 2 18, 18 18, 17 18, 17 18, 16 18, 16 18, 15 18, 15
Sample
0 0. 5 0. 5 0. 5 0. 5 0. 5 0. 5
Proportion
Using the proportions in the table, is the sample proportion an unbiased estimator?
Yes, the sample proportions are calculated using samples from the population.
Yes, the mean of the sample proportions is 0. 6, which is the same as the population proportion.
No, 0. 6 is not one of the possible sample proportions.
No, 70% of the sample proportions are less than or equal to 0. 5.
The correct answer is option 2. Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion.
To determine if the sample proportion is an unbiased estimator, we need to check if the mean of the sample proportions equals the population proportion. In this case, the population proportion of officers who are younger than 18 is given as 0.6. The sample proportions for all possible samples of size 2 are calculated and given in the table.
To calculate the mean of the sample proportions, we add up all the proportions in the table and divide by the total number of samples, which is 9.
Mean of sample proportions = (0 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 1 + 1 + 1) / 9 = 0.6
Since the mean of the sample proportions equals the population proportion, we can say that the sample proportion is an unbiased estimator.
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Linear vs non linear functions
I’m completely confused on how to do linear vs non linear functions. Does anyone have step by step on how to do them?
Answer:
A linear function has a constant rate of change. A nonlinear function does not
Also, Lnear functions show a straight line when they are graphed and nonlinear functions don't.
My advice is to graph it and look at the points.
Good luck! Pls give brainliest!
Answer:
See Picture & I hope this helps!:)
Step-by-step explanation:
In a class of students, the following data table summarizes how many students play
an instrument or a sport. What is the probability that a student chosen randomly
from the class plays a sport?
Plays a sport
Does not play a sport
Plays an instrument Does not play an instrument
3
8
10
9
Answer:
3 OR 8 hope this helps!
Step-by-step explanation:
Help! I will give brainliest to the best answer.
The high jumper set a new personal record when she cleared 5 feet 8 inches. How can we find how many inches high 5 feet 8 inches is?
Answer:
60 inches = 5 feet.
Step-by-step explanation:
12 inches in one foot, 12 x 5 = 60, meaning it would be 68 inches high
Consider the function f(x) = 10% and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of f(x)?
g(x) = f(z - 6) = 10(-6)
A.The graph of g(x) is the graph of f(x) shifted to the left 6 units.
B. The graph of g(x) is the graph of C.f(x) shifted 6 units down.
The graph of g(x) is the graph of f(x) shifted 6 units up.
D.The graph of g(x) is the graph of f(x) shifted to the right 6 units.
The correct answer is: D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.
In the given function g(x) = f(z - 6), the input variable "z" is being shifted to the right by 6 units. This means that any x-value in the original function f(x) will be replaced with (x - 6) in the function g(x).
Since f(x) is a constant function with a value of 10%, the graph of f(x) is a horizontal line at y = 10%. When we shift the input variable "x" to the right by 6 units in g(x), the horizontal line representing the function f(x) will also shift to the right by the same amount.
Therefore, the correct statement is that the graph of g(x) is the graph of f(x) shifted to the right 6 units.
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In circle K with m \angle JKL= 144m∠JKL=144 and JK=6JK=6 units, find the length of arc JL. Round to the nearest hundredth
The length of arc JL is approximately 15.08 units.
We have,
The length of an arc in a circle can be calculated using the formula:
Arc Length = (θ/360) * 2πr
where θ is the central angle in degrees, r is the radius of the circle, and 2π is approximately 6.28.
In this case, we are given the central angle JKL = 144° and the radius JK = 6 units.
Plugging in the values, we have:
Arc Length = (144/360) * 2π * 6
Arc Length ≈ (0.4) * 6.28 * 6
Arc Length ≈ 15.072 units
Rounded to the nearest hundredth,
The length of arc JL is approximately 15.08 units.
Thus,
The length of arc JL is approximately 15.08 units.
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Angle Sum & Exterior Angle Practice
m_1 =
m22
147
5
m3 =
m24 =
52
m25 =
Answer/Step-by-step explanation:
✔️m<1 + 52° = 180° (consecutive angles angle)
m<1 = 180 - 52
m<1 = 128°
✔️m<2 = 52° (alternate interior angles are congruent)
✔️m<3 = 47° (alternate interior angles are always equal)
✔️m<4 + 47° = 180° (consecutive angles)
m<7 = 180 - 47
m<7 = 133°
✔️m<5 = 180 - (52 + 47)
m<5 = 180 - 99
m<5 = 81°
find the weight ? needed to hold the wall shown in fig. p2.76 upright. the wall is 10 m wide.
As per the given height of the wall, the approximate weight is 149kN
The term Hydrostatic refers to the force exerted by static water on the plate or object and its magnitude depends upon the positioning of the object inside the water.
Here we have given the following values,
Height = 2.76 upright
Width = 10 m
Here we have to consider the hydrostatic force acting on the wall about the pinned point say P then the expression is looks like,
=> F = ωAx
=> F = 9810(10 × 4) × 2
=> F = 784800 N = 785KN
Now, the weight is calculated as per the Hydrostatic method as,
=> W = (1.33/7) x 785
=> W = 149 kN
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Which graph shows the line of best fit?
a college algebra class has 48 female and 44 male students. suppose you select one student at random to solve a math problem, what is the probability that the selected student is a female?
Probability of selecting a female student from the given number of students is equal to 0.5217.
As given in the question,
Number of female students in algebra class = 48
Number of male students in algebra class = 44
Total Number of students in algebra class = 48 + 44
= 92
Total number of outcomes = ⁹²C₁
Number of favourable outcomes = ⁴⁸C₁
Probability of selecting a female student
= (Number of favourable outcomes) / (Total number of outcomes )
= ⁴⁸C₁ / ⁹²C₁
= 48 / 92
= 12/23
= 0.5217
Therefore, the probability of selecting a female students from the given number of male and female students is equal to 0.5217.
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