Answer:
x = 1Step-by-step explanation:
Given equation
2^x = -2x + 4
To solve graphically, following steps required
1. Graph the function
y = 2^x2. Graph the function
y = -2x + 43. Identify any intersection of the lines
4. Take the x-coordinates of the intersection points and record as solution
See attached, the answer and the solution of the given equation
The solution is
x = 1Answer:
Graph the curve that models 2^x.
Graph the line that models -2x+4.
Identify all points of intersection of the two graphs.
Solutions to the equation are the x-coordinates of points of intersection.
3 5/6 - 1 1/5 what is it
Answer:
2 19/30
Step-by-step explanation:
3 5/6 - 1 1/5
We need to get a common denominator for the fractions
The common denominator is 30
5/6 * 5/5 = 25/30
1/5 * 6/6 = 6/30
3 25/30 - 1 6/30 = 2 19/30
Answer:
\(2\frac{19}{30}\)
Step-by-step explanation:
since this is a mixed fraction we can turn it into 2 equations
3-1
And
5/6-1/5
We know 3-1 is equal to 2 so now for the fraction
To subtract them we have to find a common denominator or multiple for the denominator and one is 30
\(\frac{5x5}{6x5}-\frac{1x6}{5x6}\)
\(\frac{25}{30}-\frac{6}{30}\)
Now we just subtract the numators
25-6=19
We put 19 over 30 and then add the 2 next to it So the solutions is
\(2\frac{19}{30}\)
Hopes this helps please mark brainliest
Worth 50 points!I need help plz!
Will mark brainliest to whoever does all the work.
A basket contains:
4 red Santa hats
6 green Elf hats
5 red jackets
7 green jackets.
Determine the probability of randomly selecting a green piece of clothing or a jacket.
(A)Use the addition rule to calculate this probability and explain your answer.
Do this equation P(AorB)=P(A)+P(B)-P(A and B)
(Write your answer as a percent.)
(B) are a green piece of clothing and a jacket mutually exclusive events?
Explanation/Answer:
Total: 4 + 6 + 5 + 7 = 22
Green: 6 + 7 = 13
Probability: 13/22
Note: It Is Not Mutually Exclusive Events
What property represents (-3)+3=0?
Commutative or Additive Inverse
Answer:
additive inverse
Step-by-step explanation:
What’s the value of x?
Which of the following is equivalent to
36
?
O _18
-6
1
18
1
6
Answer: 1/6
Step-by-step explanation: It was the first question on my quiz, hope it helped:)
The equivalent value of the expression \(36^{-(\frac{1}{2})\) is, 1/6.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An expression \(36^{-(\frac{1}{2})\).
We know, 6×6 = 36 = 6².
Therefore, \(36^{-(\frac{1}{2})} = (6^2)^{-(\frac{1}{2})\).
\((6^2)^{-(\frac{1}{2})} = (6)^{2\times{-(\frac{1}{2})\).
= 6⁻¹.
= 1/6.
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summarize the relationship between the number of Faces, the number of Vertices and the number of Edges of a three-dimensional object
Answer:
The relationship between the number of faces, vertices, and edges of a three-dimensional object is described by Euler's formula, which states that for any polyhedron (a solid object bounded by flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2. This formula is true for any convex polyhedron, such as a cube or a regular tetrahedron.
The formula is based on the fact that every face of a polyhedron is bounded by a closed loop of edges, and each vertex is where three or more edges meet. The total number of edges is the sum of the number of edges around each face, which is equal to twice the number of faces since each edge is shared by two faces, and the number of edges meeting at each vertex, which is equal to the degree of the vertex (the number of edges meeting at the vertex).
Therefore, by knowing the number of faces, vertices, and edges of a three-dimensional object, we can determine if it is a convex polyhedron and use Euler's formula to check if the numbers are consistent with a solid shape.
The graph of y= -2x + 10 is:
O A. a line that shows only one solution to the equation.
O B. a point that shows the y-intercept.
O C. a line that shows the set of all solutions to the equation.
O D. a point that shows one solution to the equation.
SUBM
9514 1404 393
Answer:
C. a line that shows the set of all solutions to the equation.
Step-by-step explanation:
Any graph shows the set of all solutions to the equation being graphed.
The graph of a linear function is a straight line.
Write the faction ration for each of the following.
If m
Answer:
\(\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0\)
Step-by-step explanation:
In any right triangle, the following is true:
The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)
The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)
Thus,
\(\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},\)
\(\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}\)
Find value of x in trapezoid
Answer:
x = 1
Step-by-step explanation:
You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.
Supplementary anglesThe two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.
(43x +2)° +135° = 180°
43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137
x = 1 . . . . . . . . . . . . . . . divide by 43
The value of x is 1.
__
Additional comment
Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.
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The entire graph of the function g is shown in the figure below.
Write the domain and range of g as intervals or unions of intervals.
domain=
range =
For the given function 'g':
domain = (-4, -2) ∪ (1, 3]
range = (-5, 4]
If the function is defined as f(x) = y, then the values of x for which the value of function exists, the set of that values is said to be the domain of the function f.
If the function is defined as f(x) = y, then the set of all possible values of the function that is the set of all possible values of y is said to be the range of the function f.
Here given the graph of 'g'.
From the graph we can see that for -4 < x < -2 and 1 < x \(\le\) 3 the function has graph.
So the domain = (-4, -2) ∪ (1, 3]
And it is clear that the value of y lies between -5 < y \(\le\) 4.
So the range = (-5, 4].
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Two lines, a and b, are parallel. If both of the lines are rotated 90' in the same direction and then translated to the right by the same number of units,
which statement about the lines resulting from these transformations is true?
O They will be parallel.
O They will be the same line.
O They will be perpendicular,
• They will intersect, but they won't be perpendicular
Answer:
b
O They will be the same line.
Step-by-step explanation:
Answer:
I'm doing the same exact test as you were and I need help.
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
i need help with math
Answer:
answer is y=-2x
Step-by-step explanation:
-2x because every time the dot decreases
Given: P is a point on the perpendicular bisector, I of MN.
Prove: PM = PN
Answer:
Step-by-step explanation:
I can't make specific statements about the proof because the midpoint is missing.
Givens
There are two right angles created by where the perpendicular bisector meats MN. Both are 90 degrees.
MN is bisected by the point on MN where the perpendicular meets MN
The Perpendicular Bisector is is common to both triangles.
Therefore the two triangles are congruent by SAS
PM = PN Parts contained in Congruent triangles are congruent.
At a local drive-thru restaurant, 3 out of every 8 drinks sold are diet drinks. If the restaurant sells 4,200 drinks in one month, how many would be diet drinks?
Answer:
1575
Step-by-step explanation:
3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.
Six points are plotted on the number line.
Which points on the number line are opposites?
Answer: P and U
Step-by-step explanation:
What’s the factor of the expression?
The answer to this question: B
please help me solve
Answer:
130 degrees
Step-by-step explanation:
DE+DA=130
the school has 48 students on the football team 18 of them are freshman what percent are upper classmen
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6
How to determine the valueTo determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.
These algebraic expressions are also identified with the presence of arithmetic operations,
These operations are;
AdditionBracketParenthesesSubtractionMultiplicationDivisionFrom the information given, we have that;
7x^7+10x^4+4x^3-5x^11-10x^6-6x^7
collect the like terms
7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6
add the like terms
x^7+10x^4+4x^3-5x^11-10x^6
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Which ordered pairs are solutions to the system of inequalities? {x−3y≥12x+y≤4 Select each correct answer. Responses (0, 3) left parenthesis 0 comma 3 right parenthesis (4, 0) left parenthesis 4 comma 0 right parenthesis (−1, 1) left parenthesis negative 1 comma 1 right parenthesis (2, 3) left parenthesis 2 comma 3 right parenthesis (3, −2) left parenthesis 3 comma negative 2 right parenthesis (1, −1)
The ordered pairs which are solutions to the given system of inequalities include the following:
(3, -2).(1, -1).What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Next, we would test the ordered pair with the given system of inequalities as follows:
For ordered pair (0, 3), we have:
x - 3y ≥ 1
0 - 3(3) ≥ 1
-9 ≥ 1 (False).
For ordered pair (4, 0), we have:
x - 3y ≥ 1
4 - 3(0) ≥ 1
4 ≥ 1 (True).
2x + y ≤ 4
2(4) + 0 ≤ 4
8 ≤ 4 (False).
For ordered pair (-1, 1), we have:
x - 3y ≥ 1
-1 - 3(1) ≥ 1
-1 -3 ≥ 1
-4 ≥ 1 (False).
For ordered pair (2, 3), we have:
x - 3y ≥ 1
2 - 3(3) ≥ 1
2 - 9 ≥ 1
-7 ≥ 1 (False).
For ordered pair (3, -2), we have:
x - 3y ≥ 1
3 - 3(-2) ≥ 1
2 + 6 ≥ 1
8 ≥ 1 (True).
2x + y ≤ 4
2(3) + (-2) ≤ 4
6 - 2 ≤ 4
4 ≤ 4 (True).
For ordered pair (1, -1), we have:
x - 3y ≥ 1
1 - 3(-1) ≥ 1
1 + 4 ≥ 1
5 ≥ 1 (True).
2x + y ≤ 4
2(1) + (-1) ≤ 4
2 - 1 ≤ 4
1 ≤ 4 (True).
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Complete Question:
Which ordered pairs are solutions to the system of inequalities?
{x−3y≥1
{2x+y≤4
Select each correct answer. Responses
(0, 3)
(4, 0)
(−1, 1)
(2, 3)
(3, −2)
(1, −1)
find the distance from point A to segment BC
(i also need the wrk to go with it i don’t understand)
Answer:
it would probably be t series
2. Evaluate (5+5√3i)^7 using DeMoivre’s theorem.
Write your answer in rectangular form.
Using DeMoivre’s theorem, the answer in regular form would be (5 + 5√3i)⁷ = -5000000 + 8660254.03i
How do we Evaluate (5+5√3i)⁷ using DeMoivre’s theorem?The De Moivre's Theorem is used to simplify the computation of powers and roots of complex numbers and is used in together with polar form.
Convert the complex number to polar form. The polar form of a complex number is z = r(cos θ + isin θ),
r = |z| magnitude of z
it becomes
r = √((5)² + (5√3)²) = 10
θ = arg(z) is the argument of z.
θ = atan2(b, a) = atan2(5√3, 5) = π/3
(5 + 5√3i) = 10 × (cos π/3 + i sin π/3)
De Moivre's theorem to raise the complex number to the 7th power
(5 + 5√3i)⁷
= 10⁷× (cos 7π/3 + i sin 7π/3)
= 10⁷ × (cos 2π/3 + i sin 2π/3)
Convert this back to rectangular form:
Real part = r cos θ = 10⁷× cos (2π/3) = -5000000
Imaginary part = r sin θ = 10⁷ × sin (2π/3) = 5000000√3 = 8660254.03i
∴ (5 + 5√3i)⁷ = -5000000 + 8660254.03i
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Answer:10^7 (1/2 - √3/2 i)
Step-by-step explanation:
To use DeMoivre's theorem, we first need to write the number in polar form. Let's find the magnitude and argument of the number:
Magnitude:
|5 + 5√(3i)| = √(5^2 + (5√3)^2) = √(25 + 75) = √100 = 10
Argument:
arg(5 + 5√(3i)) = tan^(-1)(√3) = π/3
So the number can be written in polar form as:
5 + 5√(3i) = 10(cos(π/3) + i sin(π/3))
Now we can use DeMoivre's theorem:
(5 + 5√(3i))^7 = 10^7 (cos(7π/3) + i sin(7π/3))
To simplify, we need to find the cosine and sine of 7π/3:
cos(7π/3) = cos(π/3) = 1/2
sin(7π/3) = -sin(π/3) = -√3/2
Explanation:
So the final answer in rectangular form is:
10^7 (1/2 - √3/2 i)
7. The height of each story of an apartmentbuilding is measured from the bottom ofone floor to the bottom of the next floor.Each story has a height of 18 feet. Howtall is the building?30 Floors
From the question
Each story is measured from the bottom of one floor to the bottom of the next floor
The height of each story = 18 feet
The building has 30 floors
Hence
Height of building = 18 feet times 30
Height of building = 540feet
Therefore, the building is 540 feet tall
Solve for s
B=(s+z/4)h
Greetings from Brasil...
Isolating S:
B = [(S+Z)/4]·h
B/h = (S + Z)/4
S = (4B/h) - ZWhat’s 137% x 680? give your answer to 1 decimal place
if we will divide 137 with 100 and then multiply it with 680 you will gett your answer
the answer is 931.6
Answer:
931.6
Step-by-step explanation:
We need to change the percent to decimal form.
137% = 1.37
Multiply this by 680.
1.37 * 680
931.6
1. Mr. Jackson will announce the student he selected during today's Math Club meeting. The meeting starts at 11:30 a.m. and ends at noon. The exact time of the announcement will be completely random.
Part A: Answer these questions about the announcement time.
Why is the time of the announcement an example of a continuous random variable?
What is the sample space?
What will be the shape of the density graph for these data? How do you know?
Part C: Use the density graph from Part B to find the probability that Mr. Jackson will make his announcement in each time range. Express each answer as a percentage rounded to the nearest tenth.
Between 11:40 a.m. and 11:50 a.m.:
In the first 5 minutes of the meeting:
The probability of the announcement being made is 20.5%. Between 11:30 a.m. and 11:40 a.m., the probability of the announcement being made is 12.8%.
What is Probability?Probability is the mathematical study of chance and uncertainty. It is used to quantify the likelihood of an event happening. Probability is based on mathematical calculations and models, so it is an objective measure of the likelihood of something occurring. Probability can be used to make predictions about future events, to measure risk, and to make decisions in uncertain situations. Probability can be used to better understand the world around us and to make better decisions in all aspects of life.
The time of the announcement is an example of a continuous random variable because it is impossible to pinpoint an exact moment when the announcement will be made. The sample space for this variable is the range of times between 11:30 a.m. and noon. The density graph for these data will be bell-shaped, with the highest probability of the announcement being made in the middle of the meeting, as this will be the most likely time for the announcement to take place.
Between 11:40 a.m. and 11:50 a.m., the probability of the announcement being made is 12.8%. In the first 5 minutes of the meeting, the probability of the announcement being made is 20.5%. Between 11:30 a.m. and 11:40 a.m., the probability of the announcement being made is 12.8%.
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1+5/4n+3/2p-3-1/2p+3/4n
Answer:
The simplified expression of your question is
11n/2-p/2-2
If the price for a meal is $15 and there is a $3 dollar tip, what percentage of the total is the tip?
Answer:
5%
Step-by-step explanation:
Answer:
3 is 20% of 15$
Step-by-step explanation:
Drago joined a gym that has a sign-up fee of $25 and charges $11 every month. Which expression represents the total cost of a gym membership after m months? 25m + 11 11m 25 + 11m 25m
Answer:
25 + 11m
Step-by-step explanation:
Given parameters:
Sign up fee = $25
Charge per month = $11
Number of months = m
Unknown:
Total cost of gym membership after m months = ?
To solve this problem, we need to follow this world problem step by step;
The sign up fee is $25 and it is a one time chargeDrago pays $11 every month and number of months is "m";Charge for m-months = $11 x m = $11m
Now, total charge is:Total charge = Sign up fee + charge for m-months
= $25 + $11m
Therefore, the total cost of gym membership after m-months is 25 + 11m