Answer:
the sum of an even whole number and odd whole number is always odd ,
True
What is the image point of (6, -7) after the transformation D4 T3,5?
The final image of the given points after the given translation and dilation of D4, T3,5 is (27, -23).
What is meant by the term transformation?Image transformations usually involve the modification of various bands of data, such as a single multispectral image either from a number of images acquired at different times of the same area (i.e. multitemporal image data). Image transformations, in either case, generate "new" images from a variety of sources that highlight specific features or characteristics of interest more effectively than the original input images.For the given image point of (6, -7) .
First there is a dilation of 4.
Thus,
Image = (6×4 , -7×4)
Image = (24, -28)
Now, there is translation of 3 units right on x axis and 5 unit upward on y axis; T3,5.
Image = (24 + 3, -28 + 5)
Image = (27, -23)
Thus, the final image of the given points after the given translation and dilation is (27, -23).
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a food snack manufacturer samples 7 bags of pretzels off the assembly line and weighs their contents. if the sample mean is 15.2 oz and the sample standard deviation is 0.70 oz, find the 95% confidence interval of the true mean.
95% confidence interval is (14.55, 15.85)
From the question, we have
Degrees of freedom = n - 1 = 7 - 1 = 6
For 6 degrees of freedom and 95% confidence interval:
Critical t value = 2.45
95% confidence interval is:
15.2 \pm 2.45*0.70/\sqrt{7}
15.2 \pm 0.65
(14.55, 15.85)
Multiplication:
Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.
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The lines below are parallel. If the slope of the green line is -1/2,what is theslope of the red line?
When two lines are parallel they mean that both slopes are the same, this means that if the green line has a slope of -1/2, the slope of the red line is also -1/2.
Hey there Ms or Mr could you please help me out with this problem?just so you know, this is Pythagorean theorem & Simplifying Radicals My recent tutor said that this is the answer of course no I don't have any doubts I just want to know if this is correct.
When we have a radical, we can simplify it by the rule:
[tex]\sqrt[]{ab}=\sqrt[]{a}\sqrt[]{b}[/tex]So, we have to break down 500 into simpler radicals until we have a radical that can't be broken down. Let's simplify Root(500).
[tex]\sqrt[]{500}=\sqrt[]{50}\sqrt[]{10}[/tex]Now, we can break down Root(50) further.
[tex]\begin{gathered} \sqrt[]{50}\sqrt[]{10} \\ =\sqrt[]{25}\sqrt[]{2}\sqrt[]{10} \end{gathered}[/tex]Now, let's break down Root(10) also, thus we have:
[tex]\begin{gathered} \sqrt[]{25}\sqrt[]{2}\sqrt[]{10} \\ =\sqrt[]{25}\sqrt[]{2}\sqrt[]{5}\sqrt[]{2} \end{gathered}[/tex]We can see:
• Root(25) is 5
,• Also Root(2)*Root(2) is 2 by using the rule:
[tex]\sqrt[]{a}\sqrt[]{a}=a[/tex]Thus, we finally have:
[tex]\begin{gathered} \sqrt[]{25}\sqrt[]{2}\sqrt[]{5}\sqrt[]{2} \\ =5(2)\sqrt[]{5} \\ =10\sqrt[]{5} \end{gathered}[/tex]
The product of 14 and x is equal to 28 more than x.
The value of x is given by 28/13.
Given the product of 14 and x is = 14*x = 14x
According to question, the product is equal to 28 more than x. So,
14x = 28+x
14x-x = 28
13x = 28
x = 28/13
Hence the value of x is 28/13.
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the sum of 10 and 15 divide by the difference 8 and 3 how to translate
We have the following:
[tex]\frac{10-5}{8-3}=\frac{5}{5}=1[/tex]20 POINTS! HURRY!!!!Which expressions are equivalent to 5(1/3x+7)-3(1/3x-4)? Select three options.5 1/3x-3 1/2x+35-121/6x+471 2/3x+36-1 1/2x+ 125(1/3x)+(5)(7)-(3)(1/2x)+(3)(4)1 1/3x+35-1 1/2x-12
The given expression is:
[tex]undefined[/tex]A dentist kept a record of the number of new cavities his patients had per year for the last 10 years. The scatterplot below shows the average number of new cavities per year for patients in the 4-to 32-year age range. Which of the following best describes the trend line of the data shown in the scatterplot? O a horizontal line a line with a negative slope, a line with a positive slope,no trend line
One-fourth of the seventh-grade students
made honor roll in the first quarter. The
number of honor roll students increased by
18 in the second quarter. If 105 students
made honor roll in the second quarter, how
many total seventh graders are there?
There are 348 seventh-grader students in total.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
One-fourth of the students made the honor roll in the first quarter, and it grew by 18 in the second quarter, so add 18, and the total number of students who made the honor roll in the second quarter is 105.
Let the seventh-grade students would be x
As per the given condition, we can write the equation as:
⇒ 1/4 x + 18 = 105
Subtract 18 on both sides of the above equation,
⇒ 1/4 x = 87
Multiply by 4 both sides of the above equation,
⇒ x = 348
Therefore, there are 348 seventh-grader students in total.
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given the function y=3x + 5 find the range uf the domain is (-4,-1,2,5,)
The function we have is:
[tex]y=3x+5[/tex]We are given the domain of the function:
[tex]D=(-4,-1,2,5)[/tex]The domain of a function is the allowed values for x.
And we are asked to find the range, which is the values that the function returns for the x-values of the domain.
To find the range, we need to take the values of the domain, substitute them into the equation, and find the values that the function returns.
For the given domain, the allowed values for x are:
[tex]\begin{gathered} x=-4 \\ x=-1 \\ x=2 \\ x=5 \end{gathered}[/tex]For x=-4
We substitute this value into the function:
[tex]\begin{gathered} y=3x+5 \\ y=3(-4)+5 \end{gathered}[/tex]And solve to find the first value of the range:
[tex]\begin{gathered} y=-12+5 \\ y=-7 \end{gathered}[/tex]For x=-1
Substitute this value into the function:
[tex]\begin{gathered} y=3x+5 \\ y=3(-1)+5 \end{gathered}[/tex]Solve the operations:
[tex]\begin{gathered} y=-3+5 \\ y=2 \end{gathered}[/tex]For x=2
Substitute this value into the function:
[tex]\begin{gathered} y=3x+5 \\ y=3(2)+5 \end{gathered}[/tex]And again, solve the operations:
[tex]\begin{gathered} y=6+5 \\ y=11 \end{gathered}[/tex]For x=5
Substitute this value into the function:
[tex]\begin{gathered} y=3x+5 \\ y=3(5)+5 \end{gathered}[/tex]Solve the operations:
[tex]\begin{gathered} y=15+5 \\ y=20 \end{gathered}[/tex]The values we have found for y are the range of the function:
[tex]R=(-7,2,11,20)[/tex]Answer:
The range of the function is (-7,2,11,20)
What is the height, x, of the equilateral triangle shown?
an equilateral triangle with the angles labeled as 60 degrees and a side length of 10 inches, the height labeled as x
The equilateral triangle's height, (x), is 7√3 inches.
What are Equilateral triangles?An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.So, the equilateral triangle's side length is 14 inches.
As a result, we may use the Pythagoras theorem to determine the triangle's height.
c² = a² + b²Now, substitute the values and calculate as follows:'
c² = a² + b²14² - 7² = b²b² = 196 - 49b² = 147b = 7√3Therefore, the equilateral triangle's height, (x), is 7√3 inches.
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Complete question:
What is the height, x, of the equilateral triangle?
An equilateral triangle with angles labeled as 60 degrees and a side length of 14 inches, the height labeled as x
A normal distribution has a mean of 75 and a standard deviation of 15.
Determine the z-score for the data value of 85.
0.67
1) Given that we've got the following data:
[tex]\mu=75,\sigma=15,X=85[/tex]We can plug them all together into the Z score formula:
[tex]Z=\frac{X-\mu}{\sigma}=\frac{85-75}{15}=\frac{10}{15}\approx0.67[/tex]Thus, the Z-score is 0.67
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
24 divided by (-3/2)
Need help please:)
does anyone know how to do simplifying expressions with Distributive property 8th grade math
Choose the correct equation type for each system. ry = 3x - 2 |3x-y=4 Consistent S-y = -x +5 12y = -4x + 20 y = -x + 4 [x=-y-6 > y = 4x + 2 y = 6x - 10 (y=2x+1 y = -2x + 3 =+3 - 2x + 5y = 0 y = x
Let's solve each system to check if it is a consistent or inconsisent system of equations:
a.
[tex]\begin{gathered} \begin{cases}y=3x-2 \\ 3x-y=4\end{cases} \\ \text{ Substituting the value of y from the first equation in the second:} \\ 3x-(3x-2)=4 \\ 3x-3x+2=4 \\ 2=4 \end{gathered}[/tex]This system has no solution, therefore it is a inconsistent system.
b.
[tex]\begin{gathered} \begin{cases}\frac{1}{2}y=-x+5 \\ 2y=-4x+20\end{cases} \\ \text{Multiplying the first equation by 4:} \\ 2y=-4x+20 \end{gathered}[/tex]Both equations represent the same line, so the system has infinite solutions, therefore it is a consistent dependent system.
c.
[tex]\begin{gathered} \begin{cases}y=-x+4 \\ x=-y-6\end{cases} \\ \text{ Applying the value of y from the first equation in the second one:} \\ x=-(-x+4)-6 \\ x=x-4-6 \\ 0=-10 \end{gathered}[/tex]This system has no solution, therefore it is a inconsistent system.
d.
[tex]\begin{gathered} \begin{cases}y=4x+2 \\ y=6x-10\end{cases} \\ \text{Comparing the y values:} \\ 4x+2=6x-10 \\ 6x-4x=2+10 \\ 2x=12 \\ x=6 \\ \\ y=4\cdot6+2=24+2=26 \end{gathered}[/tex]This system has one solution, therefore it is a consistent independent system.
e.
[tex]\begin{gathered} \begin{cases}y=2x+1 \\ y=-2x+3\end{cases} \\ \text{Comparing the y values:} \\ 2x+1=-2x+3 \\ 2x+2x=3-1 \\ 4x=2 \\ x=\frac{1}{2} \\ \\ y=2\cdot\frac{1}{2}+1=1+1=2 \end{gathered}[/tex]This system has one solution, therefore it is a consistent independent system.
f.
[tex]\begin{gathered} \begin{cases}-2x+5y=0 \\ y=\frac{2}{5}x\end{cases} \\ \text{ Applying the value of y from the second equation in the first one:} \\ -2x+5\cdot(\frac{2}{5}x)=0 \\ -2x+2x=0 \\ 0=0 \end{gathered}[/tex]This system has infinite solutions (the equations represent the same line), therefore it is a consistent dependent system.
Look at the steps for constructing a perpendicular bisector of a line segment.
Which is an accurate description for step 2?
Draw arcs, using a compass, above and below line segment XY with X as the center with a width of less than half of line segment XY.
Draw arcs, using a compass, above and below line segment XY with X as the center with a width of more than half of line segment XY.
Draw arcs, using a compass, above line segment XY with X as the center and below line segment XY with Y as the center with a width of more than half of line segment XY
Draw arcs, using a compass, above line segment XY with X as the center and below line segment XY with Y as the center with a width equal to the half of the segment XY
The accurate description for step 2 is "Draw arcs, using a compass, above and below line segment XY with X as the center with a width of more than half of line segment XY."
What is Perpendicular Bisector?
A line that divides a line segment into two equal halves and forms a 90-degree angle at the point of intersection is called a perpendicular bisector. The word "bisect" refers to dividing equally.
By looking at the steps for constructing a perpendicular bisector of a line segment.
The accurate description for step 2 is below.
That is "Draw arcs, using a compass, above and below line segment XY with X as the center with a width of more than half of line segment XY."
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which is the correct way to model the equation 5x+6= 4x+(-3)
5 positive x-tiles and 6 positive unit tiles on the left side; 4 p
6 positive x-tiles and 5 positive unit tiles on the left side; 3 m
5 positive x-tiles and 6 negative unit tiles on the left side; 4 side
5 positive x-tiles and 6 positive unit tiles on the left side; 4
please help
The correct model the equation 5x+6= 4x+(-3) is 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side.
What is the model equation?
The model equation is a representation of an equation using tiles.
Given equation is 5x+6= 4x+(-3).
1 is represented by a positive tile.
-1 is represented by a negative tile.
We can rewrite the given equation as:
5×(x)+6× (1)= 4×(x)+(3×(-1))
The model of 5×(x)+6× (1) is 5 positive x-tiles and 6 positive unit tiles.
The model of 4×(x)+(3×(-1)) is 4 positive x-tiles and 3 negative unit tiles.
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2. How does scale factor change the area?
A. by the scale factor
B. by the scale factor cubed
C. by the scale factor squared
The area will change if the scale factor length is increased or reduced.
Option A is the correct answer.
What is the scale factor?
This refers to the extent to which a shape is increased or reduced. It is used in drawings of shapes eg rectangles, squares, circles, etc.
What is area?
This refers to the total space occupied by a particular shape or object. it is measured in square meters,m².
The area of an object can change, if the scale factor is increased or reduced by a particular amount.
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]
What is the value of x in the equation 25x^2 = 16?O A ±5/4OB. ±4OC. ±4/5OD. ±16/25
Answer:
C. ±4/5
Explanation:
Given the equation
[tex]25x^2=16[/tex]The first step is to divide both sides by 25 to isolate the variable x.
[tex]\begin{gathered} \frac{25x^2}{25}=\frac{16}{25} \\ x^2=\frac{16}{25} \end{gathered}[/tex]Next, we take the square roots of both sides of the equation.
[tex]\begin{gathered} \sqrt{x^2}=\pm\sqrt{\frac{16}{25}} \\ x=\pm\frac{4}{5} \end{gathered}[/tex]The correct choice is C.
Help please!!!
It’s about ratios
Answer:
B
Step-by-step explanation:
Proportional means that the values should be equal to each other:
15/21= 0.714...
20/25= 0.8
20/24=0.833...
15/18= 0.833...
16/20=0.8
20/24=0.8333...
5/6=0.8333...
6/5=1.2
Hope this helps!
A rectangular prism gift box has dimensions of 2.5 inches, 7 inches, and 9 inches.How much wrapping paper will it take to cover the gift box? Round answer to the nearest tenth if necessary.
The question requires us to calculate the surface area of the rectangular prism.
The formula to calculate the surface area is given to be:
[tex]A=2\left(wl+hl+hw\right)[/tex]where l is the length, w is the width, and h is the height.
From the question, the following dimensions are provided:
[tex]\begin{gathered} l=2.5 \\ w=7 \\ h=9 \end{gathered}[/tex]Therefore, we can calculate the surface area to be:
[tex]\begin{gathered} A=2(7\cdot2.5+9\cdot2.5+9\cdot7) \\ A=206\text{ in}^2 \end{gathered}[/tex]OPTION C is correct.
I WILL GIVE LOTS OF POINTS
give me the answer for these algebra equations!
The slope intercept form of the required line is x + y = 5
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
The given line is
x + y = 4
y = -x + 4
Slope of the line = [tex]-1[/tex]
Slope of the line parallel to this line = [tex]-1[/tex]
The line passes through (2, 3)
Equation of the required line
y - 3= -1(x - 2)
y - 3 = -x + 2
x + y = 3 + 2
x + y = 5
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Match each exponential function with the graph that correctly models the function.
Answer:
Step-by-step explanation:
1) third graph -> the base is 3 so the graph increase
2) first graph -> if x = 0 ; y = -2
(1/3)^0 -3 = 1 - 3 = -2
3) second graph
The average weight of a brown bear is 1000 about pounds. suppose a large stuffed animal weighs 6.9 pounds. write a percent to compare the weight of the stuffed animal to the weight of the brown bear.
Answer:
Step-by-step explanation:
0.69
The expression on the left side of an equation is shown below.
3 (x + 1) + 9 = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
3 (x + 4)
2 (x + 6) + x
4(x – 3) – x
3 (x + 1) + 9 x
Answer:
C) 4(x – 3) – x
Step-by-step explanation:
8. What is the solution to the following equation? (1 point)
x² - 10x + 24 = 0
Ox= 3 or x = 8
Ox= -3 or x = -8
Ox=4 or x =
Ox=-4 or x = -6
9. Ms. Ortiz sells tomatoes wholesale. The function p(x) = -80x² + 320x
The solution of the equation x² - 10x + 24 = 0 is x = 4 or x = 6. Option C is correct.
We are given a quadratic equation:
x² - 10x + 24 = 0
Let us split the middle term, we will get;
x² - 6x - 4x + 24 = 0
x (x - 6) - 4 (x - 6) = 0
(x - 4) (x - 6) = 0
equate each with zero, we will get;
x - 4 = 0 or x - 6 = 0
x = 4 or x = 6
So, the value of x is 4 or 6.
So, option C full fills the required criteria.
Thus, the solution of the equation x² - 10x + 24 = 0 is x = 4 or x = 6. Option C is correct.
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The lighthouse flashes every 10 seconds. how many times does it flash in one hour
Answer: It flashes 6 times per minute, so 360 times per hour.
Step-by-step explanation:
6*60
Solve the inequality for e:
negative 3 e greater than 21
Group of answer choices
e greater than negative 63
e less than negative 63
e less than negative 7
e greater than negative 7
The solution of the inequality negative 3 e greater than 21 is e less than negative 7.
Inequality:
If the two real numbers or algebraic expressions are related using the symbols >, <, ≥, ≤, then the expression is called an inequality.
Given,
Here we have the statement for the inequality.
"negative 3 e greater than 21".
Now, we have o solve it and then we have to find the value of e.
The given statement is rewritten as the following expression form,
That is,
-3e > 21
Here we need the value of e, so we have to divide both sides by 3, then we get,
=> -e > 7
To remove the negative sign, we have to reverse the inequality, then we get the value of e as
=> e < -7
Therefore, in statement it can be written as "e less than negative 7".
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