Answer:
Step-by-step explanation:
Fraction:
0.8 = 8/10 = 4/5
Percent:
0.8*100 = 80%
Answer:
Solution :-0.8 can be written as
8/10 and
Percentage = 8/10 × 100
Percentage = 8 × 10
Percentage = 80%
Or,
Simply
Percentage = 0.8 × 100
Percentage = 80%
\( \\ \)
6(5x) =(x +14)+(x+17) + ( 8x+9)
Answer:x=2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
6 (5x) = (x +14) + (x+17) + (8x+9)
30x = 14 + 17 + 9 + 2x + 8x
20x = 40
x = 40/20
x = 2
1 0 6
0 1 1
0 0 0
Find the solution(s) to the system, if it exists. State the solution as a point (be sure to use parentheses), use parameter(s) s and t if needed. If the system is inconsistent, then state no solution.
The system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.
To solve the system of equations:
1x + 0y + 60z = 1
1x + 10y + 0z = 0
0x + 0y + 0z = 0
The third equation is an identity, implying that it does not give us any new information. The first two equations can be used to solve for x, y, and z:
From the first equation, we get x = 1 - 60z
From the second equation, we get y = 0 - 10x = -10(1 - 60z) = -10 + 600z
Therefore, the solution to the system can be written as a point in terms of z as:
(x, y, z) = (1 - 60z, -10 + 600z, z)
Since z can take on any value, there are infinitely many solutions to the system, which can be parameterized as:
(x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.
he system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.
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1. What is the slope of the line joining the points (2,5) and (7,15).
To calculate the slope of a line you have to use the following formula
\(m=\frac{y_1-y_2}{x_1-x_2}\)Where
(x₁,y₁) are the coordinates of one point on the line
(x₂,y₂) are the coordinates of a second point on the line
For the points (2,5) and (7,15), the slope of a line that crosses them is:
\(m=\frac{15-5}{7-2}=\frac{10}{5}=2\)The slope of the line is m=2
CAN SOMEONE DEVELOPE A STASTICAL QUESTION FOR ME BECAUSE I HAD TO REDO THIS 2 TIMES AND I DONT GET IT THANKS
solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
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A spinner is numbered from 1 through 10 with each number equally likely to occur. What is the probability of obtaining a number less than 4 or greater than 8 in a single spin?
Answer:
i believe its 5/10 or 1/2
Step-by-step explanation:
a(n) ____ is a transformation in which the size or the shape of a geometric figure is changed.
Dilations involve scaling the figure uniformly along a given center and factor. This process results in an enlarged or reduced version of the original figure, while maintaining the same proportions and shape.
A dilation is a type of geometric transformation that alters the size or shape of a figure while preserving its proportions. It involves scaling the figure uniformly in all directions from a specific center of dilation. The scaling factor determines whether the figure will be enlarged or reduced.
When dilating a figure, each point is moved along a line that passes through the center of dilation. The distance between the original point and the center is multiplied by the scaling factor to determine the new position of the point. If the scaling factor is greater than 1, the figure will be enlarged, while a scaling factor between 0 and 1 will result in a reduction.
The center of dilation can be any point on the plane, and it serves as the reference point from which the scaling occurs. If the center of dilation is outside the figure, the shape will change along with the size. However, if the center is inside the figure, only the size will be affected, and the shape will remain the same.
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if you wanted to examine whether the degree of parental involvement differs based on students’ grade in school (i.e., first, second, third, etc.), what is the dependent variable of interest?
The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.
In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.
The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.
By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.
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NEED HELP
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a ratio in simplified form by filling in the boxes.
The constant of proportionality from the proportional relationship is 3/2
What is Proportional RelationshipA proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.
To determine the constant of proportionality, we need to use the proportional relationship given.
y = kx
k = constant of proportionality
3/8 = k(1/4)
Solve for k
k = [(3/8) / (1/4)]
k = 3/2
k = 1.5
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HELP MEEEE PLEASE IM CONFUSED
Horizontal data is not numerical
Define graphA graph is a visual representation of data or information that displays the relationship between different variables or data sets. It is a diagram that uses lines, bars, dots, or other symbols to represent data points or values and displays how they are related to each other. Graphs are commonly used in mathematics, science, economics, and many other fields to represent data in a more accessible and easily understandable way.
In the given graph
The comparison is done between Number of stores and Franchise.
Number of stores is placed in y axis
Franchise is placed in y axis
For comparison, no data is given of Franchise as it showing the non numerical.
hence, Horizontal data is not numerical.
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HELP!!! I ONLY HAVE 2 MINUTES TO TURN THIS IN!!!!!
Write the generic form for a linear equation in slope-intercept form.
ANSWER FIRST TO GET BRAINLIEST!!!!
Answer:
The general form ax+by+c=0 is one of the many different forms you can write linear functions in. Other ones include the slope intercept form y=mx+b or slope-point form.
Let f(x) = 7x +5 and g(x) = x^2. Perform each function operation and then find the domain of the results.
10. (f - g)(x)
12. ( f * g)(x)
14. g/f(x)
Answer:
I'm pretty sure it's 12) ( f * g) (x)
Step-by-step explanation:
Let me know if that's wrong and I'll do my best to fix it!
HELPPPP I only have one try left!!
PEMDAS!!!
Answer:
39
Step-by-step explanation:
The answer is = 39
1 to the pwer of 1 = 1
3 to the power of 3 = 27
stephan drove to his aunt's house at 60mph. he made the reutrn trip, over the same roadway, at 40mph. what was stephen's
Stephen's average speed for the round trip was 48 mph.
To find Stephen's average speed, we can use the formula:
Average Speed = Total Distance / Total Time
Let's assume the distance from Stephen's house to his aunt's house is 'd' miles.
On the way to his aunt's house, Stephen traveled at a speed of 60 mph. So the time taken for this leg of the trip is given by:
Time = Distance / Speed = d / 60
On the return trip, Stephen traveled at a speed of 40 mph. So the time taken for this leg of the trip is:
Time = Distance / Speed = d / 40
The total time for the round trip is the sum of the times for the outward and return trips:
Total Time = d / 60 + d / 40
To find the average speed, we divide the total distance by the total time:
Average Speed = Total Distance / Total Time
The total distance for the round trip is 2d (since it's the same roadway for both trips).
Average Speed = 2d / (d / 60 + d / 40)
Simplifying this expression, we get:
Average Speed = 2d / ((3d + 2d) / 120) = 2d / (5d / 120) = 2d * 120 / 5d = 240 / 5 = 48 mph
Therefore, Stephen's average speed for the round trip was 48 mph.
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what is the modular inverse of $11$, modulo $1000$? express your answer as an integer from $0$ to $999$, inclusive.
The modular inverse of 11, modulo 1000 is 901. Expressing the answer in integer form.
To find the modular inverse of 11 modulo 1000, we need to find an integer x such that \($11x\equiv1\pmod{1000}$\).
One way to find the modular inverse is to use the extended Euclidean algorithm. Using this algorithm, we can find the greatest common divisor of 11 and 1000 and express it as a linear combination of 11 and 1000.
We can then use the coefficients of this linear combination to express 1 as a linear combination of 11 and 1000.
Applying the extended Euclidean algorithm, we have:
1000= 11 *90 + 10
11 = 10 *1 + 1
Working backward, we can express 1 as a linear combination of 11 and 1000:
1 =11 - 10* 1
= 11 - (1000 - 11*90)
= 901 * 11 - 1 *1000
Therefore, the modular inverse of 11 modulo 1000 is 901, since
11*901=1 mod{1000}.
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Jake bought cupcakes for his sister's birthday party. 33 out of the 44 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Write your answer using a percent sign (%).
PLEASE HELP
The filament of a car headlight is a thin wire that glows when electricity passes through it. Parabolic reflectors with a filament at the focus send light out in a straight beam. The cross section of a 2 inch deep headlight reflector has the equation y2=6x.
A. Draw a sketch of this situation. Include the location of the focus in your drawing.
B. How wide is the beam of light projected from the headlight's reflector? Show all work and give your answer as a decimal rounded to hundredths place.
Answer:
A. Please find attached the drawing of the reflector showing the location of the focus created with Microsoft Excel
B. The width of the beam of light projected from the headlight's reflector is approximately 6.93 inches
Step-by-step explanation:
The given equation representing the cross section of the headlight reflector is y² = 6·x
The shape of the reflector = Parabolic
The general equation of a parabola is (y - k)² = 4·p·(x - h)
The focus of the parabola, Focus = (h + p, k)
By comparison to the general equation of a parabola, from the equation of the reflector, we have;
k = 0, h = 0, 4·p = 6
∴ p = 6/4 = 3/2 = 1.5
∴ The focus of the parabola = (1.5, 0)
A. Please find attached the graph of the equation of the cross-section of the reflector, showing the filament at the focus, created with Microsoft Excel
B. The depth of the reflector is x = 2 inches
A vertical or horizontal parabola has two x-values for a given y-value or two y-values for a given x-value respectively
For the given horizontal parabola, the width of a parabola at a point is the difference between the two y-values at the point
At x = 2, we have;
y² = 6 × x = 6 × 2 = 12
∴ y = ±√(12)
The two y-values at x = 2 are y₁ = √(12) and y₂ = -√(12)
The width of the parabola, w = y₁ - y₂
The width of the parabola at x = 2, w = √(12) - (-√(12))
∴ w = √(12) +√(12) = 4·√3
The width of the parabola at x = 2, w = 4·√3 inches
The width of the parabola at x = 2 = The width of the beam of light projected from the headlight's reflector = 4·√3 inches
By giving the answer as a decimal and rounded to the hundredths place, we have;
The width of the beam of light projected from the headlight's reflector ≈ 6.93 inches.
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please
Answer:
then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50
Step-by-step explanation:
Need Help!! Would greatly appreciate any help.
Answer:
draw the points, and then make the x negative if it is reflection over the X axis, y negative if it is aver the y axis, and both if it is a 180 rotation.
for the reflection over y=x, I don't know an easier method so just count the number of units to the line(don't use pythagorean theorem, just go along the lines of the graph, and repeat on the other side.
Step-by-step explanation:
sorry I couldn't draw it myself
Ms. Gallagher pays $9 for a pack of 36 cupcakes for her son's birthday.
How much did each cupcake cost? (What is the unit rate?)
Answer:
4 for each cupcake.
Step-by-step explanation:
What is the slope of the line that passes through the points
(
−
9
,
−
7
)
(−9,−7) and
(
−
11
,
−
6
)
(−11,−6)? Write your answer in simplest for
Considering the expression of a line, the equation of the line that passes through the points (-9,-7) and (-11,-6) is the equation of the line is y= -1/2x -23/2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of a line can be calculated as:
m= (y₂ - y₁)÷ (x₂ -x₁)
Substituting the value of the slope m and the value of one of the points in y=mx +b, the value of the "b" can be obtained.
Equation of the line in this case
Being (x₁, y₁)= (-9, -7) and (x₂, y₂)= (-11, -6), the slope m can be calculated as:
m= (-6 - (-7))÷ (-11 -(-9))
m= (-6 +7)÷ (-11 +9)
m= (1)÷ (-2)
m= -1/2
Considering point 1 and the slope m, you obtain:
-7= (-1/2)×(-9) + b
-7= 9/2 +b
-7 -9/2= b
-23/2= b
Finally, the equation of the line is y= -1/2x -23/2.
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What type of number is -16.2i
Answer:
Complex and imaginary number
Step-by-step explanation:
First, let's write the number\(-16.2i\) in the form of \(a+bi\).
\(0+ (-17)i\)
Since \(-16.2i\) can be written in the form of \(a + bi\), where \(a\) and \(b\) are real numbers, it is a complex number.
Also, since \(a=0\), it is also an imaginary number.
\(-16.2i\) is complex and imaginary.
Which expression is equivalent to (−7x+8x+19y)−(6y+8−20x−16y)?
−19x−3y+8
- 19 x - 3 y + 8
−19x+9y+8
- 19 x + 9 y + 8
21x+29y−8
21 x + 29 y - 8
35x+19y−8
35 x + 19 y - 8
Answer:
21x + 29y - 8
Step-by-step explanation:
(−7x+8x+19y)−(6y+8−20x−16y)
−7x+8x+19y−6y-8+20x+16y
(−7x+8x+20x)+(19y−6y+16y)-8
21x + 29y - 8
a bag has 2 blue marbles , 3 red marbles, and 5 white matbles , which events have a probability greater than 1/5 select three options
Answer: Drawing a red or white marble and Drawing a marble that is not blue
Step-by-step explanation:
To determine which events have a probability greater than 1/5 (0.2), we need to calculate the probability of each event and compare it to 0.2.
Here are three options:
Drawing a blue marble:
The probability of drawing a blue marble can be calculated by dividing the number of blue marbles (2) by the total number of marbles in the bag (2 + 3 + 5 = 10).
Probability of drawing a blue marble = 2/10 = 0.2
The probability of drawing a blue marble is exactly 0.2, which is equal to 1/5.
Drawing a red or white marble:
To calculate the probability of drawing a red or white marble, we need to add the number of red marbles (3) and the number of white marbles (5) and divide it by the total number of marbles in the bag.
Probability of drawing a red or white marble = (3 + 5)/10 = 8/10 = 0.8
The probability of drawing a red or white marble is greater than 0.2 (1/5).
Drawing a marble that is not blue:
The probability of drawing a marble that is not blue can be calculated by subtracting the number of blue marbles (2) from the total number of marbles in the bag (10) and dividing it by the total number of marbles.
Probability of drawing a marble that is not blue = (10 - 2)/10 = 8/10 = 0.8
The probability of drawing a marble that is not blue is greater than 0.2 (1/5).
Therefore, the events "Drawing a red or white marble" and "Drawing a marble that is not blue" have probabilities greater than 1/5 (0.2).
why is y=3x proportional
Answer:
can 3x+3x+3x =9x if so what is the value of x?
It's possible 3x+3x+3x=9
=3*(3x) =9
3^(x+1) =3^(2x)
if 55% of a number is 176 and 35% of the same number is 112, find 90% of that number.
Answer:
288
Step-by-step explanation:
1. 176 = 55% × N
2. 176 = \(\frac{55}{100}\) × N
3. N= 176×\(\frac{100}{55}\)
4. N=320
5. \(\frac{90}{100}\) × 320
=288
Which expression is equivalent to 7(5t)?
Answer:
Answer is below
Step-by-step explanation:
7(5t)7×5t35tAnswer:
u just multiply7×5t
=35t
What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Step-by-step explanation:
1.5x + 6-3= 4.5x- 2
1.5x+3=4.5x-2
we transposed
4.5x-1.5x= 3+2
3x= 5
we divide both sides by 3
3x/3= 5/3
x= 5/3
Monomials!!!!!! HELP!!!!!!
subtract -13xy from -5xy
m^8n x m^3n^5
Answer:
\(-5xy -13xy=-18xy\)
\(m^8n^1 * m^3n^5=m^{11} n^6\)
Step-by-step explanation:
\(-5xy -13xy=-18xy\)
\(m^8n^1 * m^3n^5\)
\(m^{8+3} =m^{11}\)
\(n^{1+5} =n^6\)
\(m^{11} n^6\)
Hope this helps!