Answer:
Step-by-step explanation:
Least: 2/7
Second Least: 1/2
Great: 5/6
Greatest; 4/2 which is just 2
The order is 2/7 , 1/2, 5/6 and 4/2
Step-by-step explanation:1/2 = 0.5
5/6 = 0.83
2/7 = 0.28
4/2 = 2
The function f(x) = 2^x and g(x) = f(x) + k. If k = 2, what can be determined about the graph of g(x)
Answer:
We can say that the graph g(x) is obtained by shifting the grapf f(x) by 2 units up.
Step-by-step explanation:
[tex]f(x) = 2^x[/tex]
[tex]g(x) = f(x) + k[/tex]
Rule : f(x)→f(x)+k
graph f(x) shifts upward by k units
Since we are given that [tex]g(x) = f(x) + k[/tex]
So, this means when graph f(x) shifts upward by k units then g(x) is obtained
We are given that k = 2
So, when graph f(x) shifts upward by 2 units then g(x) is obtained .
Thus we can say that the graph g(x) is obtained by shifting the grapf f(x) by 2 units up.
Plz help me!!!!!!!!!!!!
Answer: 3, -3, 3i, -3i
Step-by-step explanation:
[tex]x^4-81=0\\\\Factor:\\(x^2-9)(x^2+9)=0\\(x-3)(x+3)(x^2+9)=0\\\\\text{Apply the Zero Product Property:}\\x-3=0\qquad x+3=0\qquad x^2+9=0\\\boxed{x=3}\qquad \qquad \boxed{x=-3}\qquad \quad x^2=-9\\.\qquad \qquad \qquad \qquad \qquad \qquad x=\sqrt{-9}\\.\qquad \qquad \qquad \qquad \qquad \qquad \boxed{x=\pm 3i}[/tex]
Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the squares share one side with the rectangle. The total area of the constructed figure is 120 cm². What is the perimeter of the rectangle?
Answer:
18
Step-by-step explanation:
Remark
This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't
However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.
Solution
Let the width = x
Let the length = x + 5
Area of the rectangle: L * w = x * (x + 5)
Area of the smaller squares (there are 2)
Area = 2*s^2
x = s
Area = 2 * x^2
Area of the larger squares = 2 * (x+5)^2
Total Area
x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand
x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets
x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left
5x^2 + 25x + 50 = 120 Subtract 120 from both sides.
5x^2 + 25x - 70 = 0 Divide through by 5
x^2 + 5x - 14 = 0 Factor
(x + 7)(x - 2) = 0 x + 7 has no meaning
x - 2 = 0
x = 2
Perimeter
P = 2*w + 2*L
w = 2
L = 2 + 5
L = 7
P = 2*2 + 2 * 7
P = 4 + 14
P = 18
Which of the following ordered pairs lies on the graph of h(x)=-3x^2?
A. (1,-4)
B. (1,-2)
C. (1,4)
given, y= -2x^2;
so, when x=1, y= -2((1)^2)= -2
so pair which lie on graph is (x,y) is (1,-2)
Answer:
None
Step-by-step explanation:
We are given that a graph[tex] h(x)=-3x^2[/tex]
We have to find that which pair lie on the given graph.
In order to find the value of ordered pair which lies on the given graph by substituting the value of x=1
If we get h(x)=-4 or -2 or 4 corresponding to x=1 then that pair will be answer.
Substitute x=1 then we get
[tex]h(x)=-3(1)^2=-3[/tex]
The order pair is (1,-3).
Given options do not match with order pair (1,-3).
Hence, answer is none of the above.
[PLEASE IM BEING TIMED] Which of the following determined that laws enforcing the racial segregation of schools were unconstitutional?
A. Brown v. Board of Education
B. the Southern Manifesto
C. Plessy v. Ferguson
D. the Arkansas public schools
Answer:
your answer would be A. Brown v. Board of Education
Step-by-step explanation:
Answer:
The correct answer is the option A: Brown v. Board of Education.
Step-by-step explanation:
Brown v. Board of Education was a landmark decision by the Supreme Court of the United States in the year 1954, whose main purpose was to prohibited state laws, that were in favor of the racial segregation of schools, declaring them unconstitutional, due to the fact that these segregated schools violated the ''Equal Protection Clause'' of the Fourteenth Amendment of the United States' Constitution.
It all began in 1951 when the Brown family wanted to take her daughter to a school near their home, but the board education of the school refused and said that they must take her to a segregated black elementary school further away. Then, the family and other twelve families in similar situations initiated a class action lawsuit in U. S. federal court against the school's board of education located in Topeka, Kansas.
line segement LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2?
Yes! This is true. line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2
This can be confirmed by the concept of similar triangles. The proportions of the sides are used to confirm this
The proportion used is: LQ / L'Q = 4 / (4 + 4 ) = 1/2
The scale factor is 2.
Hence L'M' / LM = 2
Find inverse for Y=2x-7
Answer:
The inverse function is f(x) = (x + 7)/2
Step-by-step explanation:
To find the inverse of any function, start by switching the x and f(x) values.
f(x) = 2x -7
x = 2f(x) - 7
Now solve for the new f(x). The result will be your inverse function.
x = 2f(x) - 7
x + 7 = 2f(x)
(x + 7)/2 = f(x)
The inverse of Y = 2x - 7 can be found by swapping the x and y variables and then solving for y, which gives the inverse function y = (x + 7) / 2.
Explanation:To find the inverse of the function Y = 2x - 7, you can follow these steps:
First, interchange the variables. Replace Y with x and x with y, which gives you x = 2y - 7. Next, solve for y. Add 7 to both sides to get x + 7 = 2y, and then divide both sides by 2 to solve for y. This will give you y = (x + 7) / 2.
So, the inverse of Y = 2x - 7 is y = (x + 7) / 2.
Learn more about Inverse Functions here:https://brainly.com/question/35491336
#SPJ2
What is the sine equation?
505.45 55% of what amount
Answer: 919
Step-by-step explanation: I set up a cross multiplication equation. I set 55 over 100 equal to 505.45 over X. I cross multiplied and did 505.45 times 100, which is 50,545. I then did 50,545 divided by 55 to get the answer of 919.
Manager A earns $15 per hour and receives a $50 bonus. The graph shows the earnings of Manager B
Answer:
manger b gets mor money
pleaee give branly
Step-by-step explanation:
Answer:B
Step-by-step explanation:
The temperature in Armand’s town in the morning was – 3.6°F. The temperature in the afternoon was 0°F. What was the overall change in temperature from the morning to the afternoon?
The overall temperature would be 3.6°F as this is how much it was changed by
Answer=3.6°F
if there are 13920 people in a stadiom ,what percent of the capacity is filled
capacity is 16000
The answer to your question is 82%
The stadium is 87% filled with 13,920 people attending out of a maximum capacity of 16,000 seats.
Explanation:To find out what percentage of the stadium's capacity is filled, we can use the formula: (Number of people in the stadium / Capacity of the stadium) × 100%. In this case, the stadium currently has 13,920 people and its capacity is 16,000 seats. We calculate the percentage like this:
(13,920 / 16,000) × 100% = 0.87 × 100% = 87%
Therefore, 87% of the stadium's capacity is filled.
What are the characteristics of trapezoid ?
Answer:
"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides."
Step-by-step explanation:
"A trapezoid is a quadrilateral with two parallel sides and, usually, two nonparallel sides. A quadrilateral is a geometric shape that has four sides. Some specialized types of trapezoid are the parallelogram and the isosceles trapezoid.
The two parallel sides of a trapezoid are its bases while the legs are the nonparallel sides. Geometric analysis of a trapezoid includes calculating the height, median and area. The height of a trapezoid is a line segment that runs perpendicular to the bases. The median, or mid-segment, is a line that is parallel to the bases and connects the midpoints of each leg. The area is calculated with a formula using the lengths of each base and the height.
A parallelogram is usually defined as a trapezoid, although it has two pairs of parallel sides instead of just one. An isosceles trapezoid has congruent base angles and equal leg lengths."
A trapezoid is a four-sided polygon with one pair of parallel sides. Its key characteristics include parallel sides, supplementary adjacent angles, and specific area calculation. The median connects the midpoints of the legs, with a length that averages the bases.
A trapezoid is a four-sided polygon, also known as a quadrilateral, with one pair of opposite sides parallel. These parallel sides are known as the bases of the trapezoid, while the other two sides are called the legs.
Key Characteristics:
Parallel Sides: The most defining feature of a trapezoid is that it has exactly one pair of parallel sides.Angle Properties: The angles adjacent to each leg are supplementary, meaning they add up to 180 degrees.Area Calculation: The area of a trapezoid can be calculated using the formula A = 1/2 × (Base1 + Base2) × Height, where Base1 and Base2 are the lengths of the parallel sides, and Height is the perpendicular distance between them.Median: The median (or midsegment) of a trapezoid is a line segment that connects the midpoints of the legs, and its length is the average of the lengths of the bases.These characteristics are essential for identifying and working with trapezoids, especially in various mathematical problems and geometric constructions.
I need help please???
Answer:
x < 8
Step-by-step explanation:
Given
x + 4 < 12
Isolate x on the left side by subtracting 4 from both sides
x < 8 ← is the solution
Answer:
x< 8
Step-by-step explanation:
x+4<12
x+4<12
-4 -4
x<8
consider the graph of f(x) = x is shifted up 8 units, what would be the equation of the new graph?
Answer:
f(x) = x + 8
Step-by-step explanation:
this is the answer because the equation is y = mx + k. In this formula the k value represents the number of times the graph goes up and down. When a graph moves up 8 units. The k value becomes +8. Hence the answer is y = x + 8.
which of the following are solutions to | x + 4 |= 3x-5
X= 9/2
X= 4.5
X= 4 1/2
Answer: 9/2
Step-by-step explanation:
1.Break down the problem into these 2 equations.
x+4=3x−5
−(x+4)=3x−5
2. Solve the 1st equation: x+4=3x−5.
x=9/2
3. Solve the 2nd equation: −(x+4)=3x−5
x=1/4
4. Collect all solutions.
x=1/4,9/2
5. Check solution
When x=1/4, the original equation ∣x+4∣=3x−5 does not hold true.
We will drop x=1/4 from the solution set.
6. Therefore,
x=9/2
The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3). What are the x- and y-coordinates of point M, which partitions the directed line segment into the ratio 2:5?
x =
y =
ANSWER
[tex]x = \frac{ - 20}{7}[/tex]
[tex]y=\frac{ 4}{7}[/tex]
EXPLANATION
The x and y coordinates of the point that partition
[tex](x_1,y_1)[/tex]
and
[tex](x_2,y_2)[/tex]
in the ratio m:n is given by:
[tex]x = \frac{mx_{2} + nx_{1}}{m + n} [/tex]
and
[tex]y= \frac{my_{2} + ny_{1}}{m + n} [/tex]
The directed line segment from L to N has endpoints L(–6, 2) and N(5, –3).
We substitute the given points,
[tex]x_1=-6[/tex]
[tex]y_1=2[/tex]
[tex]x_2=5[/tex]
[tex]y_2=-3[/tex]
[tex]m = 2[/tex]
[tex]n = 5[/tex]
This implies that;
[tex]x = \frac{2(5)+ 5( - 6)}{2 + 5} [/tex]
[tex]x = \frac{10 - 30}{2 + 5} [/tex]
[tex]x = \frac{ - 20}{7} [/tex]
[tex]y = \frac{2( - 3)+ 5( 2)}{2 + 5} [/tex]
[tex]y = \frac{ - 6+ 10}{2 + 5} [/tex]
[tex]y=\frac{ 4}{7}[/tex]
Answer:
x = \frac{ - 20}{7}
y=\frac{ 4}{7}
Step-by-step explanation:
30000 equals how many ones
The number 30,000 is made up of 30,000 individual ones. This basic mathematical concept helps understand the scale of numbers and aid in quick approximations. It can be compared to estimating powers of 10 for mental calculations.
Explanation:The question '30000 equals how many ones' can be interpreted as asking how many single units there are in 30,000. This is a basic math concept dealing with place value and integer understanding. Each individual unit is a 'one', and therefore, in 30,000, there are 30,000 of these individual units, each one contributing to the total value of the number. In other words, 30,000 is comprised of 30,000 ones.
To relate this to practical applications, consider the example where the square root of 10 is roughly estimated as 3, because 3³ (which is 3 x 3 x 3) equals 27, which is near to 10² (100), giving us an approximation that is useful for mental calculations. Similarly, the basic concept of powers of 10 can be applied here, with 10³ being 1,000, hence 30 x 10³ being 30,000. So, when you're working with large numbers like 30,000, knowing that it is made up of 30,000 ones can help you understand its scale and make quick approximations in everyday calculations.
I need help
Por favor
Simplify the expression.
(−3v) to the power of 5
[tex]\bf (-3v)^5\implies \stackrel{\textit{distributing the exponent}}{(-3)^5(v)^5}\implies -243v^5[/tex]
To simplify (-3v)^5, raise the absolute value to the power of 5 and keep the negative sign. The simplified expression is -243v^5.
To simplify the expression −3v5, raise the absolute value of -3v to the power of 5 and keep the negative sign. Since v is a variable, we cannot simplify it further.
The simplified expression is:
−35v5 = −243v5
evaluate the expression below using the properties of operations 4.2×(–1/3)÷1/6×(–10)
Answer: 84
Simplify it to 14x6
Help me please and thank you
Answer:
The answer to this problem is 32
Step-by-step explanation:
How to get this answer is u divide the base by the area of meters. so 276/12=32. Hope this helps and i hope its right!
Enjoy Brainly,
Homepage10
Put it into a calculator. The method is correct. The answer is 23
What is the lowest value of the range of the function shown on the graph! Please help asap
The lowest value of the range of the function based on the given coordinates is -2.
To determine the lowest value of the range of the function based on the given coordinates, we need to identify the minimum y-value among the points. The y-values are the second coordinates in each pair.
The given coordinates are:
[tex]\[(-4,5), (0,1), (1,0), (3,-2), (4,-1), (5,0)\][/tex]
The minimum y-value is -2, which corresponds to the point (3, -2). Therefore, the lowest value of the range of the function is -2.
Among the provided options, -2 is the correct answer. The other options (negative infinity, 0, 3) are not supported by the given data. The function attains its lowest value at the point (3, -2), and no lower value is evident from the provided coordinates.
In summary, the lowest value of the range of the function based on the given coordinates is -2.
Learn more about range of the function here:
https://brainly.com/question/7954282
#SPJ6
find all the zeros and write a linear factorization of g(x)=x^4-8x^3+27x^2-50x+50 given that 1+2i is a zero
Answer:
g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))
Please see attached image
Step-by-step explanation:
We can easily solve this equation by using a technical solver or a programming language such as Octave.
The linear factorization of the equation can be obtained directly by finding the zeros of g(x)
Please see attached images for the answer to your problem
g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))
Please help me. The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet. The family wants to use a new blueprint that shows the length of the living room to be 15 inches. If the width of the living room on the original blueprint is 6 inches and the length is 9.6 inches, what are the scale and the width of the new blueprint.
Answer:
Part a) The scale of the new blueprint is [tex]\frac{5}{8} \frac{in}{ft}[/tex]
Part b) The width of the living room in the new blueprint is [tex]9.4\ in[/tex]
Step-by-step explanation:
we know that
The scale of the original blueprint is
[tex]\frac{2}{5}\frac{in}{ft}[/tex]
and
the width of the living room on the original blueprint is 6 inches
so
Find the actual width of the living room, using proportion
[tex]\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft[/tex]
Find the actual length of the living room, using proportion
[tex]\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft[/tex]
Find the scale of the new blueprint, divide the length of the living room on the new blueprint by the actual length of the living room
[tex]\frac{15}{24} \frac{in}{ft}[/tex]
simplify
[tex]\frac{5}{8} \frac{in}{ft}[/tex]
Find the width of the living room in the new blueprint, using proportion
[tex]\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in[/tex]
Final answer:
The scale of the new blueprint is 1.5625, and the width of the new blueprint is 9.375 inches.
Explanation:
The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet.
The family wants to use a new blueprint that shows the length of the living room to be 15 inches. If the width of the living room on the original blueprint is 6 inches and the length is 9.6 inches, what are the scale and the width of the new blueprint.
Calculate the scale using the original blueprint scale and the new length provided:
Scale = (New Length)/(Original Length) = 15/9.6 = 1.5625.
Calculate the width of the new blueprint using the original width and the scale:
Width of new blueprint = (Original Width) * (Scale) = 6 * 1.5625 = 9.375 inches.
Which equations are true?
There is more than one correct answer choice. Select all that apply.
4⋅5m+4⋅7=20m+47
14+21w=7(2+3w)
49r+35=7(7r+35)
9(8h−3)=72h−27
5⋅2+5⋅3t=10+15t
3⋅6f+3⋅11=18f−33
HELP PLZZZZZ
Answer:
Which equations are true?
There is more than one correct answer choice. Select all that apply.
4⋅5m+4⋅7=20m+47
14+21w=7(2+3w)
49r+35=7(7r+35)
9(8h−3)=72h−27
5⋅2+5⋅3t=10+15t
3⋅6f+3⋅11=18f−33
Step-by-step explanation:
Once you expand the brackets on the left hand side you should get get the answers on the right hand side
The number 8 is a perfect 1. Square and cube 2. Cube 3. Square
Answer:
2. CubeStep-by-step explanation:
[tex]8=2\cdot2\cdot2=2^3\\\\\text{It's a perfect cube}[/tex]
Which table of values is correct for the equation y = 5(2)x
Answer:
x y
0 5
1 10
2 20
Step-by-step explanation:
Given the equation: y = 5(2) .....[1]
Here, x is the input variable and y is the output variable.
For x =0
Substitute in equation [1]; we have;
y = 5(2) = 5 x 1 = 5
For x = 1
Substitute in equation [1]; we have;
y = 5(2)*1 = 5 x 2= 10
For x =2
Substitute in equation [1]; we have;
y = 5(2)*2 = 5 x 4 = 20
Therefore, the table values which is correct for the equation is;
x y
0 5
1 10
2 20
What is the mode of the teachers' ages?
28 years old
48 years old
55 years old
64 years old
The mode is the most frequently occurring number in a data set. In this case, there doesn't appear to be a mode, as each number only appears once.
Explanation:To find the mode, we need to identify which age appears most frequently in the dataset. Given the data you provided - 28 years old, 48 years old, 55 years old, 64 years old - it seems every age only appears once and none of them repeat. Hence, in this case, we can not find a mode because there are no repeating numbers.
Learn more about Mode here:https://brainly.com/question/35514036
#SPJ2
Help me!!!!!! Please
Answer:
2 1/3 - -3 1/4 = 2 1/3 + 3 1/4 = 5 7/12
-1.25*-3 1/4 = 4.0625
Step-by-step explanation:
The greatest difference will be two numbers which subtracted give the largest value.
2 1/3 - -3 1/4 = 2 1/3 + 3 1/4 = 5 7/12
This is the greatest value because it is the greatest number and the least number.
The greatest product will be -1.25 and -3 1/4 since both numbers are negative they give a positive solution.
-1.25*-3 1/4 = 4.0625