Answer:
<JML=126 degrees, x=42
Step-by-step explanation:
well, something important to note here is that a straight line is allways equal to 180, and you have part of the 180 sitting there on the line being 54 degrees, so all you have to do is do 180-54=126 and that is the measure of <JML, to find x, you just reverse the steps you see, right now 3x=3*x so you want to reverse that and divide 126/3=42.
Angles are supplementary hence their sum is 180°
3x+54=1803x=180-54=126x=126/3x=42So
<JML=3x=126°
Decide whether each equation is true for all, one, or no values of x.
Answer:
For the first equation, it is "True for one value of x."
For the second equation, it is "True for no value of x."
For the third equation, it is "True for all values of x."
Step-by-step explanation:
Just solve the equation and check the numbers:
If both numbers are the same, it is "true for all values of x"
If there is a variable and a number, it is "true for one value of x"
If there are two numbers and they are different, it is "true for no values of x"
Hope this helps!
Please give brainliest
We need to check whether the given equations are true for all values of \(x\) , one value of \(x\) , or no values of \(x\) .
The equations are ,
\(3x +9 = -4.5x +20\)solve this equation for x ,
\(\longrightarrow 3x +9=-4.5x+20\\\)
\(\longrightarrow 3x+4.5x =20-9\\\)
\(\longrightarrow 7.5x =11\\\)
\(\longrightarrow \underline{\underline{x =\dfrac{11}{7.5}}}\)
Hence the equation is true for one value of x .
\( 9(x+3)=9x+12\)solve out for x ,
\(\longrightarrow 9x +27=9x-12\\ \)
\(\longrightarrow 9x -9x =-27-12\\ \)
\(\longrightarrow 0 = -39\)
This can never to true , so the equation is true for no values of x .
\(4(2x+3)=12+8x\)solve out for x ,
\(\longrightarrow 8x+12=12+8x \\\)
\(\longrightarrow 12-12=8x-8x\\\)
\(\longrightarrow 0=0 \)
Hence this equation is true for all values of x .
And we are done!
There are 10 students in a class. 6 of them wear glasses. If a student is chosen at random from the class, what is the probability that they do not wear glasses? Give your answer as a decimal.
There are 10 students in a class, 6 of them wear glasses. If a student is chosen at random from the class, then the probability that they do not wear glass is 2/5
Total number of Students = 10
Students who wear glasses = 6
Students who don't wear glasses = 4
Probability is the ratio of favorable outcomes to the total favorable outcomes. The probability formula can be expressed as,
P(E) = (Number of favorable outcomes) ÷ (Total favorable outcomes).
The probability of a student not wearing glasses is,
Probability = Students who don't wear glasses/Total number of Students
Probability = 4/10 i.e., 2/5
Learn more about Probability here:
https://www.cuemath.com/data/probability/
Answer this question correctly for 10 pts and brainlesit! be first :)
What is the question?
Two less than the product of 3 and a number equals to 9
Use the variable w for the unknown number
Translate the sentence into and equation
w / 3 quotient of a number and three
(w / 3) + 2 2 more
= is equal
9 9
(w / 3) + 2 = 9
If A= { 2, 4, 6, 8, 12 } and B={ 2, 4, 8 }, then find the set notation to represent { 6, 12 }.
Answer:
A{6,12}
Step-by-step explanation:
Maybe I'm not sure about that.
Can you find a number that satisfy the following property?
a. If you multiply the number by 2 and add 4, the result you get will be the same as three time the number decreased by 7.
Answer:
11
Step-by-step explanation:
Let the number be x.
Then by the question,
2x+4 = 3x-7
x=11
Answer:
Let the no. be x
then according to the question,
\((x \times 2) + 4 = 3x - 7\)
\(2x - 3x = - 7 - 4 \\ = > - x = - 11 \\ = > x = 11\)
Which of the following is equivalent to the complex number i^7
Answer:-i
Step-by-step explanation: :)
The vertex is (5,1) and a reflection in the x-axis. Write the equation of the absolute value function given its description.
please help me with this
Answer:
The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).
Step-by-step explanation:
Given that:
Line passes through the point = (-1, -4)
Slope of the line = -3
Point slope form of a line is given by;
\(y-y_1=m(x-x_1)\)
Here,
x1 = -1 , y1 = -4 and m = -3
Putting the values in the point-slope form of the equation,
y-(-4) = -3(x-(-1))
y+4= -3(x+1)
Hence,
The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).
solve th4 following systemm of linear equations by elimination method
3.×-4y=19
-3x +4y=25
The solution to the system of linear equation above is (7, 3).
About elimination methodTo solve the following system of linear equations by elimination method:
3x - 4y = 19
-3x + 4y = 25
We can add the equations together to eliminate the variable y, resulting in 6x = 44.
We can solve for x by dividing both sides by 6, so x = 7.
We can substitute the value of x (7) into either of the original equations to solve for y. In this case, we can use 3x - 4y = 19 and substitute in x = 7. Therefore, 4y = 12 and y = 3.
The solution to the system is (7, 3).
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Could you answer this please with a picture of your work
Answer:
there is nothing tho for people to answer
Answer:
I have no idea what to answer.
Step-by-step explanation:
I suggest taking a photo of what u want us to answer and save it to a pdf then click on the paperclip at the bottom. :)
Sorry for the inconvenience
the value of ( 7 + 4root 3) ( 7 - 4 root 3) is
Answer:
Step-by-step explanation:
(a + b)(a - b) = a² - b²
\((7 + 4\sqrt{3}) (7 - 4\sqrt{3}) = 7^{2}-(4\sqrt{3} )^{2}\\\\ = 49 - 4^{2}*(\sqrt{3})^{2}\\\\= 49 - 16 * 3\\\\= 49 - 48\\\\= 1\)
\(\boxed{1}\) ✅
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)
\((7 + 4 \sqrt{3} ) \: (7 - 4 \sqrt{3} ) \\ \\ = 7 \: (7 - 4 \sqrt{3} ) + 4 \sqrt{3} (7 - 4 \sqrt{3} ) \\ \\ = 49 - 28 \sqrt{3} + 28 \sqrt{3} - 48 \: (since \: \sqrt{3} \times \sqrt{3} = 3)\\ \\ = 49 - 48 \\ \\ = 1\)
You can also use the identity:
( a + b ) ( a - b ) = \( {a}^{2} - {b}^{2}\)
\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}\)
write down the solution to the equation x square +4x=56 correct to one decimal place
Answer:
To solve the equation x^2 + 4x = 56, we can start by rearranging it to the standard quadratic form:
x^2 + 4x - 56 = 0
Next, we can use the quadratic formula to solve for x:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 1, b = 4, and c = -56, so we have:
x = (-4 ± sqrt(4^2 - 4(1)(-56))) / 2(1)
x = (-4 ± sqrt(240)) / 2
x = (-4 ± 15.49) / 2
x = (-4 + 15.49) / 2 or x = (-4 - 15.49) / 2
x = 5.745 or x = -9.745
Therefore, the solutions to the equation x^2 + 4x = 56 correct to one decimal place are x = 5.7 and x = -9.7
Add or subtract the measurements. You must include the units.
Answer:
a. 22 ft 5in
b. 24 ft 4in
c. 2 ft 8 in
Step-by-step explanation:
all you need to do is add and substract them and then chance the units.
Good luck I still don't know
!!PLS HELP ASAP!!30 POINTS!!
Divide using synthetic division
\(x^4-3x^3-7x+1\)÷\(x+2\)
The quotient and remainder are x³ -5x² + 10x - 17 and 55.
What is Synthetic division?
When the divisor is a linear factor, synthetic division is a technique used to carry out the division operation on polynomials.
Here, (x+2) is a linear factor which indicates that synthetic division can be applied.
So, we will divide the x^4 - 3x^3 - 7x + 1 by x+2.
(refer the attached solution)
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In the Fibonacci sequence {0, 1, 1, 2, 3, 5, 8, …}, what is the value of F1
In the Fibonacci sequence, the value of F₁ is 1.
What is Fibonacci Sequence?Fibonacci sequence is defined as a sequence for which every number in the sequence is the sum of the two consecutive numbers before it.
This can be represented as,
Fₙ = Fₙ₋₁ + Fₙ₋₂
Given is a Fibonacci sequence,
{0, 1, 1, 2, 3, 5, 8, …}
Here, using the definition of Fibonacci sequence,
F₀ = 0
F₁ = 1
F₂ = F₀ + F₁ = 0 + 1 = 1
F₃ = F₁ + F₂ = 1 + 1 = 2
...............
Hence the value of F₁ is 1 in the given sequence.
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The graph represents y = −1/4 x − 3. Which coordinate pair is NOT a solution for the equation? Responses A(−8, −1) (−8, −1) B(0, −3) (0, −3) C(−2, −4) (−2, −4) D(4, −4) (4, −4) Question 2
The equation given in the problem is shown below:
\(y=-\frac{1}{4} x-3\)
Here are the answer choices:
a) (-8,-1)
b) (0,-3)
c) (-2,-4)
d) (4,-4)
We are asked to choose the coordinate pair that is NOT a solution, so let's just test each option!
To test answer choice "a", plug in \(x=-8\) and \(y=-1\) into the original equation, then simplify:
Plug in values: \(-1=-\frac{1}{4} (-8)-3\)
Multiply: \(-1=2-3\)
Subtract: \(-1=-1\)
Notice that we now have a true expression, therefore option "a" IS A SOLUTION, and is thus not the correct answer.
Repeat for option "b" (0, -3):
Plug in values: \(-3=-\frac{1}{4}(0)-3\)
Multiply: \(-3=-3\)
Notice that we now have a true expression, therefore option "b" IS A SOLUTION, and is thus not the correct answer.
Repeat for option "c" (-2, -4):
Plug in values: \(-4=-\frac{1}{4}(-2)-3\)
Multiply: \(-4=\frac{1}{2} -3\)
Subtract: \(-4=-\frac{5}{2}\)
Notice that we now have a false expression, therefore option "c" IS NOT SOLUTION, and is thus the correct answer.
To ensure we have the right option, check option "d" as well (4, -4):
Plug in values:\(-4=-\frac{1}{4} (4)-3\)
Multiply: \(-4=-1-3\)
Subtract: \(-4=-4\)
Notice that we now have a false expression, therefore option "d" IS A SOLUTION, and is thus not the correct answer.
Notice that we have now checked all possible options and only option "c" was evaluated as a false expression, therefore option C is the correct choice in regard to this question.
Let me know if you have any questions!
What is the missing exponent? and the numerical answer
Answer:
? = -4
Step-by-step explanation:
find the slope distance and midpoint of R(3,5) and H(-1,2)
m=
d=
M (, )
Slope (m) of RH = 3/4
Distance of RH is d =5 units
Midpoint between points R and H is: M(1, 3.5)
How to Find the Slope?Slope (m) = change in y / change in x = y2 - y1/x2 - x1, where:
R(3, 5) = (x1, y1)
H(-1,2) = (x2, y2)
Plug in the values
Slope (m) = (2 - 5) / (-1 - 3)
Slope (m) = (-3) / (-4)
Slope (m) of RH = 3/4
How to Find the Distance between two Points?
Distance formula used is: \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
R(3, 5) = (x1, y1)
H(-1,2) = (x2, y2)
Plug in the values
RH = √[(−1−3)² + (2−5)²]
RH = √[(−4)² + (−3)²]
RH = 5 units
How to Find the Midpoint?
The midpoint formula used is: M[(x2 + x1)/2, (y2 + y1)/2)
R(3, 5) = (x1, y1)
H(-1,2) = (x2, y2)
Substitute the values
M[(-1 + 3)/2, (2 + 5)/2)
M(1, 3.5)
Therefore,
Slope (m) of RH = 3/4
Distance of RH is d =5 units
Midpoint between points R and H is: M(1, 3.5)
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For the month of January, the amount of
snowfall was 3 inches above average.
Required polynomial is (x+3) where x is amount of average snowfall.
Here given in January, the amount of snowfall was 3 inches above average.
1. The average snowfall for January was a certain amount (let's call this 'A' inches).
2. The actual snowfall for January was 3 inches more than the average.
3. To calculate the actual snowfall for January, we can use the equation: Actual Snowfall = Average Snowfall (A) + 3 inches.
So, if we knew the average snowfall (A), we could easily find the actual snowfall by adding 3 inches to it.
Let amount of average snowfall be x inches.
So, snowfall in January month = (x+3) inches .
Therefore, required polynomial is (x+3) where x is amount of average snowfall.
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Correct answer is " Find a polynomial of the statement For the month of January, the amount of snowfall was 3 inches above average"
The elements of matrices A and B are represented by the tables.
A =
-2 5 3
0.5 8 -5
-4 -3.2 4
-1 0 0
B =
4 2 5 9
-5 0 -2 -8
-7 2.8 2.5 -5.4
What is the value of the element in the 3rd row 2nd column of the product AB?
To find this value, we need to perform matrix multiplication on matrices A and B. Matrix A is a 3x3 matrix and matrix B is a 3x4 matrix. The product of these two matrices will result in a 3x4 matrix. The exact value of the element in the 3rd row and 2nd column of the product AB is -18.96.
In the given problem, we are interested in the element located in the 3rd row and 2nd column of the resulting product matrix. To obtain this value, we need to multiply the elements of the 3rd row of matrix A with the corresponding elements of the 2nd column of matrix B, and then sum the products.
The calculation involves multiplying (-5) from matrix A with 2 from matrix B, (-4) from matrix A with 0 from matrix B, and (-3.2) from matrix A with 2.8 from matrix B. Then, we sum these products to find the value of the element in the 3rd row and 2nd column of the product AB.
To find the value of the element in the 3rd row and 2nd column of the product AB:
(-5)(2) + (-4)(0) + (-3.2)(2.8) = -10 + 0 + (-8.96) = -18.96
Therefore, the exact value of the element in the 3rd row and 2nd column of the product AB is -18.96.
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What is the answer from Sophia house to White House
]Which are the solutions of x2 = 19x + 1
Answer:
x = \(\frac{1}{19}\)
Step-by-step explanation:
2 = 19x + 1 Subtract 1 from both sides
2 - 1 = 19x + 1 - 1
1 = 19x Divide both sides by 19
\(\frac{1}{19}\) = \(\frac{19x}{19}\)
\(\frac{1}{19}\) = x
Which equation shows the inverse property of multiplication?
Answer:
Inverse property of multiplication implies that when two number are multiplied, the result is 1. 4 + (-4) = 0. here in this equation is when we multiply 4 and - 4 the answer will not be 1.-8 + (-3) = -3 + (-8) This equation shows the property of multiplicative inverse. The 2 nd equation is showing the inverse of the multiplication property.
Answer:
division
Step-by-step explanation:
because multiplication is the method of something times more by a certain value, if we reverse that effect we divide something.
edit: The dude above might be correct more, cause I think
I answered that wrongly sorry
Which graph shows the solution to the inequality −2(2x+3)≤26?
Answer:
x≥−8
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−4x−6≤26
Step 2: Add 6 to both sides.
−4x−6+6≤26+6
−4x≤32
Step 3: Divide both sides by -4.
−4x/−4 ≤ 32/−4
x≥−8
How many solutions does this equation have? 8d = 10d − 8
Answer: 10D is your answer hope I helped
Step-by-step explanation:
A proof of which property is shown?
Answer:
I believe the answer is 4.
Proof of the symmetric property of segment congruence is shown.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
The given statement is line segment AB is congruent to line segment CD.
∴ Line segment AB and CD are equal according to the congruency theorem.
The counter-statement is given that line segment CD is equal to line segment AB so line segment CD and AB are congruent.
This property is proof of the symmetric property of segment congruence.
As if A = B and B = A it implies that A and B are in symmetric relation.
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The high blood pressure of an obese individual can be modelled by the function p()-40 sin 3x + 160, where p(1) represents the blood pressure, in millimetres of mercury (mmHg), and is the time, in seconds. Determine the maximum and minimum blood pressure, in the time interval 0 SIS 0.75, and the time(s) when they occur.
Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.
To find the maximum and minimum values of the blood pressure function p(t), we need to examine the behavior of the sinusoidal term, -40sin(3t), within the given time interval. The function is a sine wave with an amplitude of 40 and a period of 2π/3. This means that the maximum value occurs at the peak of the sine wave (amplitude + offset), and the minimum value occurs at the trough (amplitude - offset).
The maximum blood pressure corresponds to the peak of the sine wave, which is 40 + 160 = 200 mmHg. To find the time at which this occurs, we set the argument of the sine function, 3t, equal to π/2 (since the peak of the sine wave is π/2 radians). Solving for t gives t = (π/2) / 3 = π/6 ≈ 0.524 seconds.
Similarly, the minimum blood pressure corresponds to the trough of the sine wave, which is -40 + 160 = 120 mmHg. Setting the argument of the sine function equal to 3π/2 (the trough of the sine wave), we find t = (3π/2) / 3 = π/2 ≈ 1.571 seconds.
Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.
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Work out the value of the expression 2n + 1 when n= -5.
11
Step-by-step explanation:
2 times 5 +1=11
Answer:
2n+1=-5
2n=-5-1
2n=-6
n=-6÷2
n=-3