What value of x is a solution to the equation?
X - 2 = 16 (1 point)
A. 14
B. 18
C. 21
D. 12
Answers
Answer:
B. 18
Step-by-step explanation:
we need to isolate x to find the solution
x -2 +2 = 16 + 2
x = 18
Related Questions
I need help with this practice I attempted this practice previously and my attempt is in the picture
Answers
We will draw a sketch for the given triangle to find its area
The area of the triangle will be
\(A=\frac{1}{2}\times XY\times ZM\)Since ZX = ZY = 7, then the triangle is isosceles
Then the height ZM will bisect the base XY
Then we can find ZM by using Pythagoras Theorem
\(\begin{gathered} ZM=\sqrt[]{7^2-3^2} \\ ZM=\sqrt[]{49-9} \\ ZM=\sqrt[]{40} \\ ZM=2\sqrt[]{10} \end{gathered}\)Since XY = 6, then
The area of the triangle is
\(\begin{gathered} A=\frac{1}{2}\times6\times2\sqrt[]{10} \\ A=6\sqrt[]{10}\text{ square units} \end{gathered}\)
the linear system l has augmented matrix which is row equivalent to the following. how many solutions does l have?
Answers
The linear system l has one solution. This can be determined by examining the augmented matrix to find the row echelon form. The row echelon form is a matrix with zeroes below the leading entries and all the leading entries are in different columns.
By converting the augmented matrix into the row echelon form, we can identify the number of variables and the number of equations. Since there are three equations and three variables in the row echelon form, the linear system l has one solution. The row echelon form of the given augmented matrix is
\($\begin{bmatrix}1&-3&2&3\\0&-5&-9&-10\\0&0&4&5\end{bmatrix}$\)
By counting the number of equations and variables in the row echelon form, it can be seen that there is only one solution for the linear system l. This is because the number of equations is equal to the number of variables, indicating that there is a single solution.
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the linear system l has an augmented matrix which is a row equivalent to the following. how many solutions does l have?
\($\begin{bmatrix}1&-3&2&3\\-3&8&-11&-14\\2&-7&5&7\end{bmatrix}$\)
simplify the expression -2x(x+3)
A: -x -6
B: -x + 6
C: -2x + 6
D: -2x - 6
Answers
Simplify the expression -2x(x+3)
-2x(x+3)
-2x²-6x
I don't know if I'm wrong because my answer isn't an option.
A new firehouse is being built equidistant from three other fire stations. Positioned on a grid, the current fire stations would be located at (2,2) , (3, -5) , and (-5,-5). Find the coordinates of the new firehouse.
Answers
Answer:
(-1, -2)
Step-by-step explanation:
The point on the grid that is equidistant from the three given points is the center of a circle through those three points. That center is the point of intersection of the perpendicular bisectors of the sides of the triangle connecting the given points.
__
For points A(2, 2), B(3, -5), and C(-5, -5), we want to find the intersection of the perpendicular bisectors of AB, BC, and AC. It is convenient to choose pairs of points that make the computation easier. Points A and C have identical x- and y-values, so they lie on the line y=x. Points B and C have identical y-values, so lie on the horizontal line y=-5.
ACAs we observed, the line AC has equation y=x, so has a slope of 1. Its perpendicular will have a slope of -1. The midpoint of AC is ...
midpoint AC = (A +C)/2 = ((2, 2) +(-5, -5))/2 = (-3/2, -3/2)
In point-slope form, the equation of the perpendicular bisector of AC is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-3/2) = -1(x -(-3/2)) . . . . line with slope -1 through (-3/2, -3/2)
y = -x -3 . . . . . . . . . simplify to slope-intercept form
BCThe midpoint of BC is ...
midpoint BC = (B +C)/2 = ((3, -5) +(-5, -5))/2 = (-2, -10)/2 = (-1, -5)
The perpendicular to the horizontal line y = -5 will be a vertical line. It must pass through the midpoint we found, so its equation will be ...
x = -1
new firehouseThe circle center is the solution to the system ...
y = -x -3x = -1That solution will be ...
(x, y) = (-1, -(-1) -3)) = (-1, -2)
The new firehouse coordinates are (-1, -2).
The length of a rectangle is six more than triple the width. If the perimeter is 156 inches, find the
dimensions.
Answers
Answer:
Width = 18 inches
Length = 60 inches
Step-by-step explanation:
Hello!
Perimeter = \(2(l + w)\)
Length = \(3w + 6\)
Plug in the length value and perimeter into the perimeter equation to find the dimensions.
\(P = 2(l + w)\)\(156 = 2(3w + 6 + w)\)\(156 = 2(4w + 6)\)\(156 = 8w + 12\)\(144 = 8w\)\(18 = w\)Now find the length:
\(L = 3w + 6\)\(L = 3(18) + 6\)\(L = 54 + 6\)\(L = 60\)The width is 18, and the length is 60.
3
Brighton reads of his book in of an hour.
4
At this rate, how much of the book can he read in 1 hour?
1) What is the RATE for the problem?
4
Answers
What the commitment of Ryan and Brighton to their friendship demonstrate is Loyalty.
What is loyalty?
Loyalty serves as the the state or quality of being loyal,it involves some degree of faithfulness to commitments or obligations.
here, we have,
given that,
Brighton reads of his book in of an hour.
Therefore, sincere their friendship has lasted for many years and they have helped each other means they are loyal.
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I struggled with this !
Answers
Answer:
1 gallon = 2.85
Step-by-step explanation:
22.80-14.25=8.55
8.55/3=2.85
1 gallon cost 2.85
10 Ten Atlas batteries were tested to find their average life. The times, in hours, that the batteries lasted were as follows: 10.8, 10.6, 11.4, 8.9, 10.1, 10.6, 9.9, 12.6, 10.5, 11.9. a Find, to the nearest tenth of an hour, the average life of the ten batteries. b Which of the following advertisements is more accurate? i Atlas batteries are guaranteed to last 10 hours. ii Atlas batteries have an average life of over 10 hours.
Answers
a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2
Number of values = 10
Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63
Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.
b) Comparing the two advertisements:
i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum
ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.
Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.
In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.
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usun niewymiernosc mianownika
Answers
Answer:
translate?
Step-by-step explanation
translate it and i can help
Suppose f(x) is a function such that if p
O f(x) can be odd or even.
O f(x) can be odd but cannot be even.
O f(x) can be even but cannot be odd.
O f(x) cannot be odd or even.
Answers
. Read the paragraph and choose a sentence that describes it best. On the way across the Aegean Sea, Caesar was kidnapped by pirates and held prisoner. He maintained an attitude of superiority throughout his captivity. The pirates demanded a ransom of 20 talents of silver, but he insisted that they ask for 50. After the ransom was paid, Caesar raised a fleet, pursued and captured the pirates, before imprisoning them. He had them crucified on his own authority, as he had promised while in captivity—a promise that the pirates had taken as a joke.
a) Caesar was a vane man who thought 20 talents is too little of a ransom
b) Caesar was very brave and kept to his word to kill the pirates
c) Pirates didn’t believe Caesar will kill them because he was their prisoner
d) The pirates didn’t kill Caesar not only because he was promised to be paid for, but because he made them respect him
Answers
The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.
After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.
However, Caesar, true to his word, had the pirates crucified on his own authority.
This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.
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Let f(x) = -2x + 7 and g(x) = -6x + 3. Find f.g and state its domain.
-14x^2 + 36x - 18; all real numbers
12x^2 - 48x + 21; all real numbers
-14x^2 + 36x - 18; all real numbers except x = 7
12x^2 - 48x + 21; all real numbers except x = 1
Answers
Answer:
Not sure if this is right, but I hope it helps. Please see attached pic
Step-by-step explanation:
Internet sites often ask for a secret phrase to recover lost passwrds. Jason encoded a secret phrase using matrix multiplication. He multiplied the clear text code for each letter by the matrix:
The matrix representing the encoded text is:
Jason’s secret phrase is:
Clear text encoding:
Decoding a Message by Finding An Inverse
Answers
Answer:
cats rule dogs drool is correct ty<3
Step-by-step explanation:
Answer:
cats rule dogs drool
Step-by-step explanation:
just did it edge23
if (ax+b)(x-3) = 4x^2+cx-9 for all values of x, what is the value of c? a) -9 b) -6 c) 6 d) 9
Answers
Answer:
c=-9
Step-by-step explanation:
Hello,
\((ax+b)(x-3)=ax(x-3)+b(x-3)=ax^2-3ax+bx-3b\\\\=ax^2+(b-3a)x+(-3b) \\\\\text{And it should be equal to } 4x^2+cx-9\)
We can identify the like terms so:
a = 4
b-3a = c
3b = 9 <=> b = 3
So c = 3 - 3*4 = 3-12 = -9
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Please answer! i really need help, im failing. ;-;
*PICTURE BELOW*
Answers
Answer:
D
Step-by-step explanation:
the > symbol means that the arrow must point towards the right and that the circle must be hollow there the ans is D
It has been said that only the top 2% of athletes will go pro. What Z-Score is required to be the top 2%?
Round to 2 decimal places.
Answers
If the top 2% of athletes will go pro, then the Z-Score that is required to be 0.0438.
In this question, we have been that the top 2% of athletes will go pro.
We are required to find the Z-Score that is required to be the top 2%.
Because only 2% of the top is pro then it will be a two tailed test.
The required percentage will be 2/2=1%
The value which we will require to catch up from table = 0.01
Z value = 0.0438
Therefore, if the top 2% of athletes will go pro, then the Z-Score that is required to be 0.0438.
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If triangles ABC and DEF are similar, what is y? Show your work.
Answers
The value of y is 18
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.
Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.
Therefore;
14/21 = 12/y
14y = 21 × 12
14y = 252
divide both sides by 14
y = 252/14
y = 18
Therefore the value of y is 18.
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An agriculture publication claims that the population mean of the birth weights for all Nubian goats is...
Answers
Based on the information, the confidence interval doesn't contradict the claim.
How to calculate the valueBased on the information, the following vs be deduced:
Mean = 2.87
Sample size = 35
Population standard deviation = 1.36
Critical value = 2.576
Standard error = Standard deviation / ✓Sample size
= 1.36 / ✓35
= 0.2299
The margin of error will be:
= 2.576 × 0.2299
= 0.5922
The 99% confidence interval will be 2.5678 < U < 3.7522
In conclusion, the confidence interval doesn't contradict the claim. Hence, the publication claim of 2.87kg is inside the 99% confidence interval.
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Solve the proportion.
w 100
88
3
a.
1
b. 9
A
B
C. 8
d.
Please select the best answer from the choices provided
OD
000
Answers
C. 8
8/3 = g/3
, x3 both side
8/3 x 3 = g
8/3 x 3/1 = g
24/ 3 = g
8 = g
Hope this helps!
I have 10 questions can someone help me please 1 9/5+8/5. 2 1/3+1/3 3 2/4+1/4
Answers
Answer:
1. 3 2 /5
2. 2/ 3
3. 3/4
Step-by-step explanation:
Select the correct sentences in the passage. Which statements are true? Any two squares are either similar or congruent. If two lines are parallel, they never intersect. If all the angles of a polygon are congruent, then it is a square. The intersection of two lines always forms 4 congruent angles. A line can be drawn through any two distinct points.
Answers
The correct sentences in the passage are option A, option B, and option E.
Any two squares are either similar or congruent. If two lines are parallel, they never intersect.A line can be drawn through any two distinct points.Let's check all the options, then we have
Any two squares are either similar or congruent. The statement is true.
If two lines are parallel, they never intersect. The statement is true.
If all the angles of a polygon are congruent, then it is a square. The statement is false because a regular polygon has an equal angle but it may be a pentagon, hexagon, etc.
The intersection of two lines always forms 4 congruent angles. The statement is false because opposite angles are the same. But if adjacent angles become the same, then the statement will be true.
A line can be drawn through any two distinct points. The statement is true.
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AB= please help step by step
Answers
Answer:
8x−14
Step-by-step explanation:
3x - 4 + 5x - 10
=3x+−4+5x+−10
Combine Like Terms:
=3x+−4+5x+−10
=(3x+5x)+(−4+−10)
In order for line p to be parallel to line q, what must be the value of x?
Answers
Answer:
107
Step-by-step explanation:
By the converse of the corresponding angles theorem, \(x=107\).
3
Explain why
64
3,375
15
64
because
64
3,375
15
3,375
(Do not simplify.)
Answers
Answer:
In general, an unresolved nth root, commonly involving a radical symbol ^n√x, is known as a surd. However, the term surd or "surd expression" (e.g., Hardy 1967, p. 25) can also be used to mean a sum of one or more irrational roots. In the mathematical literature, the term arises most commonly in the context of quadratic surds.
Step-by-step explanation:
Pls help!!
Find the area of the white region.
1500
7 cm
A=[?] cm2
Enter a decimal rounded to the nearest tenth.
Answers
Answer:
51.9 cm²
Step-by-step explanation:
From the diagram attached,
Area of the white region(segment)(A) = Area minor sector- area of the triangle
A = (πr²∅/360°)-(1/2r²sin∅)............... Equation 1
Where r = radius of the circle, Ф = reflex angle formed at the center of the circle, π = pie
From the question,
Given: r = 7 cm, Ф = 150°
Constant: π = 22/7
Substitute these values into equation 1
A = [(22/7)×7²×150/360]-[(1/2)×7²×sin150]
A = 64.17-12.25
A = 51.92
A = 51.9 cm²
![Pls help!!Find the area of the white region.15007 cmA=[?] cm2Enter a decimal rounded to the nearest tenth.](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/rl1BzT6mIYpekaLsQzcFyAVBICH4LK5N.png)
Based on the values in the table below, find the slope and y-intercept to write the equation of the line in the form y=mx+b.
x= 1, 2, 3
y= 11, 22, 33
Answers
Answer:
y= 11x
Step-by-step explanation:
find the slope: 22-11/2-1= 11/1 or 11
To find the y-intercept you can use the slope by subtracting 11 (inverse operation) from the y value of (1,11). So the y- intercept is (0,0). To write the equation plug in 11 for m and 0 for b. Since 0 has no value the equation would be y= 11x
5 times 100 times 105
Answers
Answer:
52500
Step-by-step explanation:
first do 5*105 to get 525 then mutiply by 100 to get 52500
Jill is 11 years younger than Pete. The sum of their ages is 29. What’s the age of Pete.
Answers
Answer:
The sum of their ages is 29, which we can express as the equation:
P + (P - 11) = 29
Simplifying the equation:
2P - 11 = 29
Adding 11 to both sides:
2P = 40
Dividing both sides by 2:
P = 20
Therefore, Pete's age, represented by "P," is 20 years old.
(c) What is the value of p if 4x² + 20x + p is a
perfect square
Answers
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\(( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} \)
_________________________________
\(4 {x}^{2} + 20x + p = \)
\(( {2x})^{2} + 2(2x)(5) + p = \)
Thus ;
\(p = {5}^{2} \)
So
\(p = 25\)
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suppose you have a box with 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, remove it from the box and draw another marble. What is the probability of pulling out a red marble followed by a blue marble? The multiplication rule says to use P(red) P(blue).
Describe the probability of finding a red marble?
Describe the probability of finding a blue marble?
Describe the process of finding the probability of finding a red marble followed by a blue marble if the first marble was permanently removed?
What affect did removing the first marble from the box have on the problem?
Describe the probability of finding a red marble followed by the blue marble if the first marble is removed?
Answers
Answer:
1) 2/9
2)3/9
Step-by-step explanation:
sorry,thats what i know so far