Answer:
Step-by-step explanation:
Replace m - 2 with x. Then we have x^2 - 4x + 2 = 0.
Completing the square, we get x^2 - 4x + 4 - 4 + 2 = 0, or
x^2 - 4x + 4 - 2 = 0, or
(x - 2)^2 - 2 = 0, or (x - 2)^2 = 2
Solve for x: Take the square root of both sides. Then:
x - 2 = ±√2 and x = 2 + √2 and x = 2 - √2
But x = m - 2; therefore, x = m - 2 = 2 - √2. Solving for m, we get
m = 4 - √2.
Also: m - 2 = 2 + √2 leads to m = 4 + √2.
The given equation is true for these two values of m.
Simplify 6(3x+4y)+2(x+2y)
Answer:
20x + 28y
Step-by-step explanation:
Answer:
6(3x+4y) + 2(x + 2y)
18x+24y + 2(x + 2y)
20x + 28y
The average age of a university student was found to be 24 with a standard
deviation of 2. What age group is within 2 standard deviations of the mean?
The age group that falls between two standard deviations is 20 to 28.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean.
Given, The average age of a university student was found to be 24 with a standard deviation of 2.
Therefore, age group is within 2 standard deviations of the mean is,
24 + 2×2 = 24 + 4 = 28,
And 24 - 2×2 = 24 - 4 = 20.
So, The age group between 20 to 28 falls within 2 standard deviations of the mean.
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If m/KLH = 134°, solve for x.
19=134+2
H
25°
N
(4x + 9)°
L
K
Step-by-step explanation:
KLH is a triangle, and the sum of all angles in a triangle is 180°.
now, we know the angle at L = 134°.
because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.
and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.
so, we have
180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x
12 = 4x
x = 12/4 = 3
Of 30 students 1/3 play sports. Of those who play sports 2/3 play soccer. How may students play soccer?
Answer:
4
Step-by-step explanation:
1/3 of 30 students play sport
30×1/3
= 10
2/5 of this number plays soccer
10×2/5
= 20/5
= 4
a line has this equation y=-1/2x+5 what is the equation for the perpendicular line that goes through (10,3)
Answer:
Y=2x-17
Step-by-step explanation:
If a line is perpendicular it means their slope is reciprocal to each other.
Y=-1/2X+5 has a slope of -1/2
The function that is perpendicular will have a slope of 2.
Y=2x+b
Plug in(10,3)
2(10)+b=3
b=-17
Y=2x-17
no fake answers for the last time and no links please I will actually report you. answer the question and EXPLAIN it!!!!
Answer:
Well, if the inequality is g<6, the second graph would be correct. (6 with the open circle)
Step-by-step explanation:
A open circle indicates that the solution is greater than or less than. There is a simple way I like to do it, if the sign is going to the right, you would have to graph to the left. That is just a simple way you can do it. But, the answer is the second graph. (Top left corner)
Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20 and 25, respectively, which values could represent the side lengths of triangle DEF
Answer:
D. 18, 24, 30
Step-by-step explanation:
The easy way to do this is to look for the answer with equal differences between the numbers:
24-18 = 6
30-24 = 6
We can do this because we know the triangles are similar. The difference between 15, 20 and 20, 25 is equal.
if logx 27 +logy 4 =5 and log x 27 -logy 4=1 find x and y
Answer:
[tex](x,y)\rightarrow(3,2)[/tex]
Step-by-step explanation:
I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:
[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]
[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]
[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]
We often hear "Practice makes perfect" or "Practice makes better". Give reasons why the relationship might not be stronger between hours of practice and points per game.
Answer:
Hope this is right :)
Step-by-step explanation:
Practice makes perfect because by reapeting something multiple times you will adventually get better
Put the values below into ascending order
(smallest to largest).
4%,
2
10⁹
6
100
A quantity with an initial value of 7800 decays continuously at a rate of 0. 1%
per hour. What is the value of the quantity after 1. 25 days, to the nearest
hundredth?
The question is asking for the value of a quantity that decays continuously at a rate of 0.1% per hour. We are given that the initial value of the quantity is 7800 and are asked to find the value after 1.25 days (30 hours).
What is a ratio in mathematics?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
We can use the following formula to find the final value of the quantity after a certain amount of time:
final value = initial value * (1 - decay rate)^time
Where decay rate is given as a decimal (0.1% = 0.001)
Plugging in the given values, we get:
final value = 7800 * (1 - 0.001)^30
The final value is around 7396.65
Rounding the final value to the nearest hundredth, the final value after 1.25 days is:
7396.65 ≈ 7396.66
The value of the quantity after 1.25 days, to the nearest hundredth is 7396.66.
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Find the area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches.
The area of a square with a length of ((n ^ 3 * m ^ 4)/(nm)) ^ 2 inches is n^6*m^8/(nm)^4.
Define square.In geometry, a square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of parallelogram as well as an equilateral rectangle (an equilateral and equiangular one).
Write general formula to find area of square.The general formula to find area of square is A=a^2 where is a is length of sides.
The area of a square is given by:
A= l^2 where l is the length
So l= n^3*m^4/(nm)^2
A=l^2= n^6*m^8/(nm)^4
So area of the square is n^6*m^8/(nm)^4.
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a tropical punch recipe calls for 1.5 L of coconut milk. How many millimeters of coconut milk are in the recipe?
Answer:
1500 ml
Step-by-step explanation:
Answer:
1500 kkkkkkkkkkkkkkkkk
10. Is it possible to draw a three-sided figure where two of the sides are equivalent and two of the angles
are obtuse?
a) yes b) no
(I will give brainliest please help)
please answer this
i really need it
i will give u a crown
Answer:
i am not to sure but if i am corroct it IS polynomial
Step-by-step explanation:
hope this helps
A cylinder has a base radius of 8 cm and a height of 7 m. What is its volume in cubic centimeters to the nearest 10th Place
Answer:
1407.4
Step-by-step explanation:
volume = π · r^2 · h
you plug in the values and get => 1,407.434
Rounded to the nearest tenth = 1407.4
Hope this Helps!
Please mark as brainiest if correct (o_o)
What does − [infinity] [infinity] mean?
This expression has no defined meaning. It is not a valid mathematical expression.
− [infinity] [infinity] is not a valid mathematical expression so it has no defined meaning.
The expression − [infinity] [infinity] is not a valid mathematical expression, and thus it has no defined meaning. It is not a valid mathematical expression because it contains two symbols, infinity and negative infinity, which do not interact with each other in any meaningful way. Infinity is a concept that is used to represent an unbounded or infinitely large value, while negative infinity is a concept used to represent a value that is infinitely small. When combined, these two symbols do not represent any meaningful mathematical quantity. Therefore, the expression − [infinity] [infinity] has no defined meaning.
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What is the inverse of φ?
The inverse of a function is a function that "undoes" the original function. If f is a function and x is an element in the domain of f, then the inverse of f is denoted as f^-1(x) and is defined as the element in the domain of f such that f(f^-1(x)) = x.
The symbol "φ" (phi) is not a commonly used notation for any function. It is a Greek letter and can be used in different fields such as physics, mathematics, and engineering to represent different things depending on the context.
It is important to note that not all functions have inverses. A function has an inverse only if it is a bijective function, which is a function that is both injective and surjective, meaning that it maps every element of the domain to a unique element in the range and vice-versa.
So to find the inverse of a function, you have to first make sure that the function is bijective. If so, you can find the inverse function by switching the positions of x and y, then replacing y with f^-1(x) or x with f^-1(y) and solving for the new x or y.
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On the Coordinate plane, mark all points such that y=x+3
Answer:
(0, 3); (-3, 0)
Step-by-step explanation:
y = x + 3
ordered pairs:
y = 0 + 3 = 0 --> (0, 3)
0 = x + 3 --> x = -3 --> (-3, 0)
Find the slope (2,2) and (6,8)
Therefore the slope of the line joining the points (2,2) and (6,8) is equal to 2/3.
What is meant by slope?
A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
The formula for finding the slope of a line is [tex]m= \frac{X2-X1}{Y2-Y1}[/tex].
Where (X1, Y1) and (X2, Y2) are the points on the line.
The given points are (2,2) and (6,8).
Therefore slope is
[tex]m=\frac{6-2}{8-2} \\m=\frac{4}{6} \\m=\frac{2}{3}[/tex].
The slope is 2/3.
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A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 centimeters. What is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser
On solving the provided question, we can say that difference of cylinder between the height of the soap 8 cm.
what is cylinder?One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.
[volume of cylinder]=pi*r²*h- = h=[volume of cylinder]/(pi*r²)
Volume=5652 cm³
r=7.5 cm, so, h= [tex][5652]/(3.14*7.5²) = h=32 cm[/tex]
the height of the soap in the full dispenser is 32 cm
the height when 4,239 cubic centimeters of soap remains in the dispenser is h [tex]=[4239]/(3.14*7.5²) = h=24 cm[/tex]
the difference is [tex]32-24 = 8 cm[/tex]
the answer is
8 cm
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What is BPT Theoram please solve
In a triangle, a line is drawn parallel to one side of the triangle. Then it ratio of the two similar triangles will be con
What is the Basic Proportionality theorem?The Basic Proportionality Theorem, often known as the Thales Theorem, was developed by the eminent Greek mathematician Thales. He asserted that the ratio of any two matching sides is constant for any two equiangular triangles. He developed the basic proportionality theorem based on this idea (BPT). Similar triangles have presented this idea. When two triangles resemble one another.
Think about the triangle ΔABC in the given illustration. A line PQ connecting the sides AB and AC of P and Q in this triangle is drawn parallel to the side BC of the triangle.
AP/PB = AQ/QC
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When you are going from city w to city x, at city w, there is a milestone, after travelling for a while, you come across another milestone. How far city x from city w
Answer: Hello your question is quite vague but i will provide a general answer within the scope of your company
answer : D = Y + Z
Step-by-step explanation:
Moving from city W to city x
Given that there is a milestone at the beginning of the journey ( i.e. at City W )
and Another milestone is Located between City W and City X after traveling for time T
lets assume
distance between Milestone at W and milestone between W and x = Y
distance between City x and milestone between City W and City x = Z
Finally to determine the Distance between City x and city W
D = Y + Z
ASAP
Just the answer pls
Answer:
D
Step-by-step explanation:
Please help ASAP
Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
Hint: Use the change of base formula: log base b of y equals log y over log b.
Step-by-step explanation:
I'm assuming that its 23 to the power x since you said it is an exponential equation.
as for the hint there is no specific base specified so I'll do the best I can with the answer.
Angie can begin solving by applying log to the base 23 on both sides. when this is done, Angie will be left with:
[tex] log_{23}( {23}^{x} ) = log_{23}(6) [/tex]
and as we know the power rule in logarithms allows us to remove the power within the expression.
hence, we'll get:
[tex]x log_{23}(23) = log_{23}(6) [/tex]
furthermore, if we have the same number and base within a logarithmic expression it will simply become 1 giving us the final answer:
[tex]x = log_{23}(6) [/tex]
if the question that I've answered is different to yours please let me know and I'll make sure to fix it.
hope this helps :)
b. The linear scale factor of two similar
shapes is 14:7. If the area of the
bigger shape is 490cm, what is the
area of the smaller shape?
Answer:
Area of smaller shape = 245 cm²
Step-by-step explanation:
Given:
Scale factor ration [Big shape to small shape] = 14:7
Area of bigger shape = 490 cm²
Find:
Area of smaller shape
Computation:
Area of smaller shape = Area of bigger shape[7 / 14]
Area of smaller shape = 490[7 / 14]
Area of smaller shape = 490[7 / 14]
Area of smaller shape = 35[7]
Area of smaller shape = 245 cm²
-5 1/4 - (-7 1/2)
A: -12 3/4
B: 2 3/4
C: -2 1/4
D: 2 1/4
Answer:
B
Step-by-step explanation:
-5-(-7)=2 1/4+1/2=3/4
help plz I don't understand
Answer:
AB ≈ 9.11
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan44° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{8.8}{AB}[/tex] ( multiply both sides by AB )
AB × tan44° = 8.8 ( divide both sides by tan44° )
AB = [tex]\frac{8.8}{tan44}[/tex] ≈ 9.11 ( to 3 sf )
Two angles are a linear pair. Their measures are represented by x+10 and 3x+10. What are the measures of the angles
Answer:
50° and 130°
Step-by-step explanation:
Linear pair of angles are supplementary, which means their sum is 180
x + 10 + 3x + 10 = 180
4x + 20 = 180
4x = 160
x = 40
x + 10 = 40 + 10 = 50°
3x + 10 = 3(40) + 10 = 120 + 10 = 130°
I need help i attach a photo of the math
Answer:
279936
Step-by-step explanation:
i put it in the calculator. I honestly get how to do the exponents themselves but not dividing with them.