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here are three fractions: 2/3, 4/5,6/9. Two of these fractions are equivalent to each other. Which two? Explain your reasoning in a complete sentence.
Answer:
The two fractions equivalent to eachother are 2/3 and 6/9
Step-by-step explanation:
These fractions are equivalent because 6/9 can be reduced into 2/3. Also 6 is a multiple of 2 and 9 is a multiple of 3.
The fractions 2/3 and 6/9 are equivalent to each other after simplifying the fractions.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The three fractions are:
2/3, 4/5, 6/9
The above fractions can be written in the form of decimals:
After dividing:
2/3 = 0.666
4/5 = 0.8
6/9 = 0.66
The fractions 2/3 and 6/9 are equivalent to each other because its decimal forms are equal.
Or
2/3 = 6/9
Thus, the fractions 2/3 and 6/9 are equivalent to each other after simplifying the fractions.
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Find the value of x.
Answer:
x = 10
Step-by-step explanation:
You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.
Angle bisectorThe angle bisector divides the sides of the triangle proportionally;
3x/40 = (x +2)/16
6x = 5x +10 . . . . . . . multiply by 80
x = 10 . . . . . . . . . subtract 5x
The value of x is 10.
<95141404393>
15. When x =9, which number is closest to the value of y on the line of best fit in the graph below? 121917
We have a scatter plot.
We have to find the closest value to y on the line of best fit when x = 9.
We can estimate a line of best fit by hand in the graph as:
Although we have a data point where x = 9 and y =9, the line of best fit is kind of in between the two groups of points.
When we draw the line like this, the estimated value from the line of best fit when x = 9 is y = 12, as we can see in the graph.
Answer: 12
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
∠BAF and ∠CAF are complementary.
∠BAF and ∠BAC are adjacent.
∠DAC and ∠CAB are supplementary.
Answer:
The second one is the lie adjacent means next to each other there not therefore thats the lie hope that helps!
In ggplot2, which of the following aesthetic attributes can you use to map variables to points? Select all that apply.A. ShapeB. ColorC. SizeD. Facet
The correct answers are A, B, and C.
In ggplot2, an aesthetic is a visual property of a plot that can be mapped to a variable. There are several aesthetic attributes that can be used to map variables to points in a plot.
Shape: The shape aesthetic can be used to map a categorical variable to the shape of the points in a plot. For example, if you have a dataset with a column for "Species" that can take on the values "Dog", "Cat", and "Fish", you could map the "Species" column to the shape aesthetic to create a scatterplot with different shapes for each species.
Color: The color aesthetic can be used to map a continuous or categorical variable to the color of the points in a plot. For example, if you have a dataset with a column for "Temperature" that contains numeric values, you could map the "Temperature" column to the color aesthetic to create a scatterplot with a gradient of colors representing different temperature ranges.
Size: The size aesthetic can be used to map a continuous or categorical variable to the size of the points in a plot. For example, if you have a dataset with a column for "Population" that contains numeric values, you could map the "Population" column to the size aesthetic to create a scatterplot with larger points representing larger populations.
Facet: The facet aesthetic is not used to map variables to points, but rather to create multiple plots (called facets) that are displayed next to each other, each representing a different subset of the data. For example, if you have a dataset with a column for "Continent" that can take on the values "Africa", "Asia", and "Europe", you could use the facet aesthetic to create separate scatterplots for each continent.
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A van got stalled in front of your house. The driver asked barangay officials to help him push the van to get moving. They used a total force of 1,200 newtons. After pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.
How much power did the volinteers use to pushe the van?
It should be noted that the power that the volunteers use to pushe the van is 200 watts.
How to calculate the power?From the information, they used a total force of 1,200 newtons and ater pushing the Van for 15 minutes, they were able to move the van 150 meters away from your house.
It should be noted that power is calculated as:
Power = Force × Displacement / Time
Force = 1200 Newton
Displacement = 150 meters
Time = 15 minutes = 15 × 60 = 900 seconds.
Therefore, the power that the volunteers use to pushe the van is:
Power = Force × Displacement / Time
=(1200 × 150) / 900
= 200 Watt.
Therefore, it should be noted that the power that the volunteers use to pushe the van is 200 watts.
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Please help me with this I will give brainlist
Answer:
the answer your looking for is a.) 8.6
Can you guys help? I really don’t know
Answer:
x = 1.4
Step-by-step explanation:
6 - 2x = 8(x -1)
6 - 2x = 8x - 8
collecting like terms
-2x - 8x = -8 - 6
-10x = -14
10x = 14
dividing both sides by 10
x = 14/10
x = 1.40 (2d.p)
please mark brainliest
Which of the following is equivalent to the expression 2(3 x - 2y) + 4y
Step 1
Expand the expression and simplify
\(\begin{gathered} 2(3x-2y)+4y \\ =6x-4y+4y \\ =6x \end{gathered}\)
Hence the answer is option A
34 full. He uses 16 of a full tank’s gas per day driving to and from work.
How many days can Drew drive to work with the gas he has in the tank?
Your answer in part (b) read "one and one- fourth" is called a mixed number since it has a whole number part and a fraction part. What does the word "and" indicate in the name of this fraction?
9514 1404 393
Answer:
the end of the whole number and the beginning of the fraction
Step-by-step explanation:
The word "and" means the whole part and the fractional part should be considered together as having a value equal to their sum. It signifies the separation between the whole-number part and the fractional part.
__
It has the same meaning as when used in a decimal mixed number:
1.2 = "one and two tenths"
What kind of transformation is depicted in the picture below?
Answer:
dilation
Step-by-step explanation:
Hope this helps!
Answer:
Dilation
Step-by-step explanation:
The image is bigger
giving out BRAINLIEST ANSWER HELP ME OUT PLEASE !!
Answer:
y = 8 !!! hope this helps !!
Step-by-step explanation:
David on all 7 books and the Harry Potter series and how many different orders can he place all of them on top shelf of his bookshelf
We are going to use factorial
Now, we have seven different books to be placed on shelf
\(7!\text{ = 7}\times6\times5\times4\times3\times2\times1\text{ = }5040\)Hence, David can place all the 7 books on top shelf of his bookshelf in 5040 different orders.
Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
Hi is 19,683 the answer?
Answer:
No
Step-by-step explanation:
the answer is 3.
3×3×3=27.
therefore the cube root of 27 is 3.
(20 POINTS) The graph of f(x)= |x| is translated 2 units to the left and then horizontally stretched by a factor of 2. Determine the equation of the final graph.
Answer:
g(x) = Ix/2 + 1I
Step-by-step explanation:
First, let's describe the transformations in a general way.
Horizontal translation.
For a function f(x) a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is positive, the translation is to the left.
If N is negative, the translation is to the right.
Horizontal stretch.
For a function f(x) a horizontal stretch of scale factor k is written as:
g(x) = f(x/k)
Then if we have the function f(x) = IxI
First we do a translation of 2 units to the left, then we have N = 2
The transformation is:
g(x) = f(x + 2)
Now we do a horizontal stretch by a factor of 2.
g(x) = f( (x + 2)/2=
g(x) = f( x/2 + 1) = Ix/2 + 1I
The equation of the final graph is:
g(x) = Ix/2 + 1I
Can y’all help me pls
Answer:Sure, what do you need help with
Step by step explanation:
Sure, what do you need help with
6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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6. Emily receives an inheritance of $20,000 and decides to invest the money. She puts some money in her savings
account that earns 1.5% simple interest per year. The remaining money is invested in a bond fund that returns 4.5% and a
stock fund that returns 6.2%. She makes a total of $942 at the end of 1 yr. If she invested twice as much in the bond fund
as the stock fund, determine the amount that she invested in each fund.
Emily funded $6000 in stocks and $12,000 in bond funds. She also funded the remaining $2,000 in her savings account.
Future value = $20,000
Simple interests rate = 1.5%
The return rate on bonds= 4.5%
The return rate on stocks = 6.2%
Total amount made on invests = $942
Time period = 1 year
Let us assume that the amount of money Emily invested = x
Amount invested in stock = y
If the amount is twice = 2y
The interest earned = x * 0.015
Interest on bond = 2y * 0.045
Interest on stocks = y * 0.062
The equation will be:
(x * 0.015) + (2y * 0.045) + (y * 0.062) = 942
0.015x + 0.152y = 942 ------ Equation 1
Total future value is given as $20,000
x + 2y + y = 20000
x + 3y = 20000
x = 20000 - 3y
Substituting the x value in the first equation:
0.015(20000 - 3y) + 0.152y = 942
300 - 0.045y + 0.152y = 942
0.107y = 642
y = 6000
Therefore, we can conclude that Emily funded $6000 in stocks and $12,000 in bond funds.
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A semicircle of diameter 1 sits at the top of a semicircle of diameter 2, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a lune. Determine the area of this lune.
a. π/6 - √3/4
b. √3/4 - π/12
c. √3/4 - π/24
d. √3/4 + π/24
e. √3/4 + π/12
The required area of the lune is (D) √3/4 - π/24.
What is the area?The measurement that expresses the size of a region on a flat or curved surface is termed area.
Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
So,
The lune's area is equal to the smaller semicircle's area minus the segment's area.
The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.
Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.
Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)
Area of the lune = π/8 - π/6 + √3/4
= √3/4 - π/24
Therefore, the required area of the lune is (D) √3/4 - π/24.
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I need help with his Math question.
Answer:
Part A-4.6 miles.
Part B-2.1
Step-by-step explanation:
1.7^2 + 4.3^2 = c
c=4.6
Part A) The length of a straight line between the school and the Fire Station is 4.6
Part B) The length of a straight line between the school and the hospital is 2.1
(Work for part B screenshot didnt save right so here's a link to a similar question that has similar work to mine :) )
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a. Use the Pythagorean theorem to calculate the length of segment AC. Show your work for credit.
alright so first ur trying to find adjacent so use cos which is adjacent/hypotenuse you know the angle of c is 90 because it is a right angle
so it gonna be
cos(90)= AC/5
5*cos(90)= AC
5*0=AC
side AC = 0
Y=-3 Y=Ax2+4x-4 In the system of equations above, a and b are constants. For which of the following values of a and b does the system of equations have exactly two real solutions?
A) -4
B) -2
C) 2
D) 4
For constant A to be -4 (option 1) the system of equations have exactly one real solution.
NOTE: We are working with the problem statement: Y=-3 Y=Ax2+4x-4 In the system of equations above, a is constant. For which of the following values of a does the system of equations have exactly one real solution?
We have given, y=-3
y= Ax^2+4x-4
Therefore, -3= Ax^2+4x-4
or, Ax^2+4x-1=0
For second order equation of ax^2+bx+c=0 have a solution for
x= [-b± (√b^2-4ac)]/2a] [Ax2 + Bx + C = 0 is the Sridharacharya equation, where a, b, and c are real values and a 0. The Sridharacharya formula, which is stated as x = (-b (b2 - 4ac)) / 2a, provides the answer to the Sridharacharya equation.]
For single solution b^2-4ac=0
here, Ax^2+4x-1=0
4^2 - 4a(-1)=0
16+4a=0
a= -(16)/4
a= -4
option A is correct .
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This is only true equation when A is equal to -2. Therefore, the correct answer is B) -2.
B) -2
The given system of equations can be written as:
Y = A*x^2 + 4*x - 4
We can solve this equation by using the Quadratic Formula. The Quadratic Formula states that the solutions to the equation are given by:
x = [-b +/- sqrt(b^2-4ac)]/2a
where a, b, and c are the coefficients of the equation. In this case, a = A, b = 4, and c = -4.
Substituting these values into the equation, we get:
x = [-4 +/- sqrt(4^2-4*A*(-4))]/2A
Simplifying this, we get:
x = [-4 +/- sqrt(16 + 16A)]/2A
For the system of equations to have two real solutions, the value of the square root must be greater than or equal to zero. This means that 16 + 16A must be greater than or equal to zero.
This is only true when A is equal to -2. Therefore, the correct answer is B) -2.
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Find the distance between the points on the graph.
Answer:
6 cubics are from distance away :))) hope this helps
Step-by-step explanation:
Find the exterior of a rectangle in a polygon
The measure of each exterior angles of rectangle is 90°
Finding the exterior of a rectangle in a polygonFrom the question, we have the following parameters that can be used in our computation:
A rectangle
A rectangle is a polygon with 4 sides
So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon
The exterior angles in a polygon are found by using:
Exterior of a rectangle in a polygon = 360°/Number of sides of the polygon
In this case,
The number of sides of the rectangle = 4
So, we have
Exterior of a rectangle = 360°/4
Evaluate
Exterior of a rectangle = 90°
Hence, the value of the measure of each exterior angles of rectangle is 90°
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Complete question
Find the measure of each exterior angles of rectangle?
Step by step
What is the percentage strength of a w/w ointment containing 1 g of medication in 100 g of total ointment?
000
The percentage strength of the ointment containing 1 g of medication in 100 g of total ointment is 1%.
The percentage strength of a w/w (weight/weight) ointment is calculated by dividing the weight of the active ingredient by the weight of the total ointment and multiplying by 100.
In this case, you have 1 gram of medication in 100 grams of total ointment. To calculate the percentage strength, you can use the following formula:
Percentage strength = (weight of medication / weight of total ointment) × 100
Substituting the values, we get:
Percentage strength = (1 g / 100 g) × 100
Simplifying this equation:
Percentage strength = 0.01 × 100
Therefore, the percentage strength of the ointment containing 1 g of medication in 100 g of total ointment is 1%.
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A rectangular prism has a top face of 12 square feet and a height of 4 feet. What is the volume of this rectangular prism
Answer
i think it is 48.
Step-by-step explanation:
The area of the triangular base of the prism above is 9 cm2. The height of the prism is 9 cm. What is volume of the prism?
Answer:
120 sq cm
Step-by-step explanation:
Shape l and ll are what?
Answer:
a trapezoid:ll and a dented triangle:l