A quadrilateral with vertices at A(4, -4), B(4, -16), C(12, -16), and D(12,-4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation? 1/9. 1/3
3
9
Answer:
scale factor = 3
Step-by-step explanation:
since the origin is the centre of dilatation then the scale factor is the ratio of corresponding coordinates, image to original.
given D (12, - 4 ) and D' (36, - 12 ) , then
scale factor = [tex]\frac{36}{12}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3
What are 3 problem solving skills?
The major part of problem solving skill are explained below.
In order to find the ways, we must know the definition of problem solving.
The term problem solving is defined as the act of defining a problem; determining the cause of the problem identifying, prioritizing, and selecting alternatives for a solution and implementing a solution.
Therefore, the major skills included in the problem solving are defined as
=> identifying the problem,
=> analyzing possible solutions, and
=> deciding on the best course of action
Basically, this skill is important because it enables us to identify and exploit opportunities in the environment and exert control over the future.
Other that that problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations.
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What does => mean in logic?
The comparison operator "≥" in logic means that the number is either greater than or equal to a number , the greater than equal to symbol is used to describe the relationship between two terms .
What is a Comparison Operator ?
The Comparison operator in logic is used to compare logic statements ,such as [tex]a > b[/tex] or [tex]a < b[/tex] , by using a , b as variables, the operator compares their values, returns true and false.
The Comparison Operator "≥" , in logic is read as " greater than equal to" , For Example : if the statement is [tex]a \geq b[/tex] , then if the variable is greater than or equal to b , then the operator will return TRUE and if not then it will return FALSE .
The given question is incomplete , the complete question is
What does the comparison operator "≥"(greater than equal to) mean in logic ?
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Can someone help please and thank you
Answer:
Table A: f(x) = -4x - (-5)
Table B: f(x) = 4x + ⅖
Table C: f(x) = -4x + (-⅕)
Step-by-step explanation:
See explanation in the attachement below
Find the centre focus,vertex,directrix and axis of each parabola and sketch the graph? (x-1)² = y+2
The answers to each part of the question are mentioned above.
What is parabola?In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.The general equation of a parabola is given by -y = a(x – h)² + k or x = a(y – k)² +h.
where - (h, k) denotes the vertex.
Given is the equation of a parabola as -
(x - 1)² = y + 2
We can write the equation as -
y = (x - 1)² - 2
The coordinates of the vertex are : (h, k). So, we can write the coordinates of the vertex as V(1, - 2).The equation of a parabola is -[tex]$y=\frac{1}{4 \left(f - k\right)} \left(x - h\right)^{2} + k[/tex]
We can rewrite the equation of the parabola given as -[tex]$y=\frac{1}{4 \left(\frac{-7}{4} - (-2)\right)} \left(x - h\right)^{2} + k[/tex]
The coordinates of the focus are : (h, f). The coordinates of the focus will be - F(h, f) or F(1, -7/4)The distance from the focus to the vertex is the same as the distance from the vertex to the directrix so -- 2 - (- 7/4) = d - (- 2)
d = - 9/4
The equation of directrix will be :y = d
y = -9/4
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: x = 1
Therefore, the answers to each part of the question are mentioned above.
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What is the smallest positive multiple of $13$ that is greater than $500?$
Answer:
Step-by-step explanation:
The smallest possible multiple of 13 dollars greater than 500 dollars would be 507 which is 13*39 (i assume you mean whole numbers when you say positive numbers, if not the other answer would be 13*38.461)
Can someone please please help
Answer:
144 ounces.
Step-by-step explanation:
Since 1 pound=16 ounces, we will multiply 9 times 16.
9x16=144
Therefore, the answer is 144 ounces.
11 is not equal to z
Answer:
11=z put the slash line in the equal sign
hope this helps
have a good day :)
Step-by-step explanation:
I’m confused and I need help with this question?
Answer:
c. x=9 or x=-9
Step-by-step explanation:
i hope this helps :)
Answer: C
Begin by dividing 4 on both sides to get [tex]x^{2}[/tex]=81. When a term is squared, that basically means you need to square root the equation. This would equal [tex]\sqrt{x^{2}[/tex]=[tex]\sqrt{81}[/tex]. Square rooting cancels out the x^2, leaving it as x=[tex]\sqrt{81}[/tex]. This also refers to 9,-9. (Keep in mind that when you're square rooting a number, you should always consider both positive and negative.)
a) Find f(t).
ℒ−1
e−????s
s2 + 1
f(t)=? + (?) (t - ?)
The value of function, f(t) for L⁻¹ ( e−s /(s²+ 1)) is equals to sin( t - π ) u(t-π) .
The Laplace transform is the essential term of the given derivative function. Moreover, it comes with a real variable (t) for converting into complex function with variable (s). For ‘t’ ≥ 0, let ‘f(t)’ be given, the Laplace transform of ‘f(t)’, denoted by 'L{f(t)}' or ‘F(s)’ is definable with the equation:
[tex] L(f(t)) = F(s) = ₀∫^{ \infty } e⁻ˢᵗ f(t)dt[/tex]
we have L⁻¹ ( e−s /(s²+ 1))
Now, L⁻¹ (1 /(s²+ 1)) = sin(t)
so, L⁻¹ ( e−s /(s²+ 1)) = sin( t - π ) u(t-π)
where u(t-π) is unit of step function.
so, required function f(t) is sin( t - π ) u(t-π).
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Complete question:
Find f(t) ℒ−1 (e−s /(s²+ 1))
f(t)=? + (?) (t - ?)
freda is laying mulch in her garden. the garden is 8 feet by 12 feet and the mulch should be 3 inches deep. how much mulch does she need?
Answer:
288
Step-by-step explanation:
8x12x3
Given g(x) = -x + 5, find g(-6).
Answer:
g(- 6) = 11
Step-by-step explanation:
substitute x = - 6 into g(x) , that is
g(- 6) = - (- 6) + 5 = 6 + 5 = 11
Answer:
11
Step-by-step explanation:
g(x) = -x + 5
Let x = -6
g(-6) = -(-6) + 5
=6+5
=11
5,000 is what percent of 10,000
Answer:
50%
Step-by-step explanation:
it's half
Answer:
5,000 is half of 10,000
Step-by-step explanation:
5,000 x 2 = 10,000
10,000 divided by 2 = 5,000
5,000 plus 5,000 = 10,000
A teacher buys packs of notebooks to give to his students. The ratio of brown notebooks to red notebooks is represented in the tape diagram. Brown notebooksRed notebooks Based on the ratio, what is the number of brown notebooks when there are 242424 red notebooks
Answer:
yea yea
Step-by-step explanation:
Karina is designing a logo on a coordinate plane. The logo is a square whose area is 200200200 square units. She places a circle in the middle of the logo centered at (0,0)(0,0)(, 0, comma, 0, ). The circle passes through the point (6.3,1.6)(6.3,1.6)(, 6, point, 3, comma, 1, point, 6, ). Approximately what percentage of the logo does the circle cover
Approximately 66(2s f) percentage of the logo does the circle cover.
What is percentage?
A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.
To find the percentage we must first find the area of the circle:
We can find the radius of the circle using the distance formula;
⇒ [tex]d=\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]
⇒ [tex]r = \sqrt{(6.3-0)^2+(1.6-0)^2}[/tex]
⇒ r = 6.5
Now we calculate the area;
⇒ [tex]A = \pi r^2[/tex]
⇒ [tex]A = \pi (6.5)^2[/tex]
⇒ [tex]A = \frac{169}{4} \pi[/tex]
To get the percentage we divide the area of the circle by the square’s are and multiply by 100;
⇒ Percentage = [tex]\frac{42.25*\pi }{200}*100[/tex]
⇒ Percentage = 66(2s f)
Hence, approximately 66(2s f) percentage of the logo does the circle cover.
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I need the answer ASAP!!
Answer:
I'm pretty sure the answer is J
If the scale of a map is 1:32000 then what will be the actual distance of 20 cm on the map?
Therefore, By using the formula actual distance = (Map distance) x (Scale ratio) the actual distance of 20 cm on the map of 1:32000 is 0.000625 km or 625 meters.
Define Scale ratio.A ratio scale is a numerical scale with a genuine zero and uniform distances between adjacent points. The Kelvin scale is an illustration of a ratio scale. The actual zero point exists on a Kelvin scale.
What are adjacent points?Two locations that are close to one another are said to be adjacent points.
A scale of 1:32000 means that one unit of measurement on the map represents 32000 units of the same measurement in the real world.
To calculate the actual distance of 20 cm on the map,
We know,
Actual distance = (Map distance) x (Scale ratio)
Actual distance = (20 cm) x (1/32000)
Actual distance= 20/32000
Actual distance = 0.000625 km or 625 meters.
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which expression is equivalent to 20x−8y
1. 2(10x+4y)
2. 4(5x−8y)
3. 4(5x−2y)
4. x(20−8y)
Answer:
1.
Step-by-step explanation:
We are trying to find out what is equal to 2(10x+4y)
2(10x+4y)
because 2 times 10x is 20x, 4y times 2 is 8y!
According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most recent month. Let's assume the standard deviation is 4.5% of students. Joseph collects data from 186 students at a medium-sized school in Iowa and finds that only 11% reported this rate of bullying. What is his 95% confidence interval?
Select one:
A. [8.75, 13.25]
B. [10.353, 11.647]
C. [10.5, 19.5]
D. [6.5, 15.5]
c) A concern or risk of reporting significant mean differences between groups is that people may
If Joseph collects data from 186 students from a medium sized school in Iowa and finds that only 11% students has reported rate of bullying , then the 95% confidence interval is option (b) [tex](10.353, 11.647)[/tex] .
the students who report bullying in middle sized school is ⇒ [tex]15[/tex] percent ;
the standard deviation is given as ⇒ 4.5% = 0.045 .
the sample size is ⇒ 186 students ;
the sample proportion is ⇒ 11% = 0.11 .
we know that the for the 95 percent confidence interval the value of z score is 1.96 .
The formula to calculate the upper and lower limit of 95 percent confidence interval is :
= [tex]( Sample Proportion \pm \frac{Zscore \times Standard Deviation}{\sqrt{Population Size} })[/tex]
So , the lower limit of the interval will be calculated as :
= [tex]( 0.11 - \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]
On simplifying ,
we get
= [tex]0.1035[/tex] = [tex]10.35\%[/tex] ;
So , the upper limit of the interval will be calculated as :
= [tex]( 0.11 + \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]
On simplifying ,
we get ;
= [tex]0.1165[/tex] = [tex]11.65 \%[/tex]
Therefore , the required interval is [tex](10.353, 11.647)[/tex].
The given question is incomplete , the complete question is
According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most recent month. Let's assume the standard deviation is 4.5% of students. Joseph collects data from 186 students at a medium-sized school in Iowa and finds that only 11% reported this rate of bullying. What is his 95% confidence interval ?
(a) (8.75, 13.25)
(b) (10.353, 11.647)
(c) (10.5, 19.5)
(d) (6.5, 15.5)
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I NEED HELPPPPppppppp
Check the picture below.
Sally makes craft kits. She needs 14 colored tiles for each kit. The area model represents the number of colored tiles in 15 kits. Drag the number to complete the area model. Numbers may be used once, more than once, or not at all.
4,10,100,50,20,40,9,5
The number that can be used to complete the area model is 210 and it can be used with numbers that are dragged are 100,100,10 bearing in mind that numbers may be used more than once
We already know that we have 14 colored tiles and that each of the area models is represented by 15 colored kits
The number of colored tiles in 15 kits is 210.
To find the total number of kits to use to complete the area model, you can multiply the number of tiles per kit (14) by the number of kits (15):
14 x 15 = 210
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Solve dy/dx + y/x square = 1/x square
Answer:
See below.
Step-by-step explanation:
[tex]\frac{dy}{dx}+\frac{y}{x^2}=\frac{1}{x^2}\\\\\frac{dy}{dx}=\frac{1}{x^2}-\frac{y}{x^2}\\\\\frac{dy}{dx}=\frac{1-y}{x^2}[/tex]
The first step could be more complicated if the fractions didn't already have a common denominator.
There are 96 girls in a junior class of 176 students. Find the ratio of girls to boys.a.11:6c.6:11b.5:6d.6:5
The ratio tells us how often one number is contained in another. In the class, there are six girls for every five boys. D is the right answer.
What is a Ratio?A ratio is an ordered pair of numbers a and b, expressed as a / b, where b is not equal to 0. A percentage is an equation in which two ratios are made equal to one another. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) One-fourth are boys and three-fourths are girls.
The ratio tells us how often one number is contained in another.
Considering that 96 of the 176 junior students are female. Consequently, the class's gender distribution is,
96 girls are present.
80 boys out of 176, or 96 boys.
Currently, the junior class's gender distribution is as follows:
Girls to Boys in Ratio
96 girls and 80 boys.
Divide the numerator and denominator by 16 to simplify.
Boys/Girls: 6 to 5.
Therefore, the answer is option d) 6:5.
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The um of three number i 50 the firt number i twice the econd number the third number i half the firt number
If the sum of three numbers is 50, it forms a linear equation that is x + y + z = 50. By solving this equation we can get the value of x, y and z.
The Equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. There are different types of equations like linear, quadratic, cubic, etc. There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. The most basic and simple algebraic equations consist of one or more variables in math.
The sum of three number is 50 the first number is twice the second number the third number is half the first number.
x + y + z = 50
x = 2y
z = x / 2
Here we form a linear equation. A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. By solving this linear equation we can get the value of x, y and z.
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$115. Today, the price rose to $161. Find the percentage increase.
$
?
Answer:
40%
Step-by-step explanation:
(HELP AS FAST AS YOU CAN)!!! This dot plot is symmetric, and the data set has no
extreme values.
1 2
3
4 5
6
7
8
9 10
Which of these measures is the best measure of variability for the dot plot?
O A. Mean
B. Mean absolute deviation (MAD)
O C. Median
D. Interquartile range (IQR)
Answer:
d. interquartile range
Step-by-step explanation:
the iqr measures the first, second, and third quartile, and the median.
cv0627
Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 4 doses and each measles vaccination consists of 2 doses. Last year, Dr. Potter gave a total of 54 vaccinations that consisted of a total of 142 doses.
Answer:
dr. potter provides 54 vaccinations TOTAL (including both measles and polio).
p+m=54
since there are 4 doses of polio and of measles, you have to use a variable to distinguish how many doses were given for measles and polio out of 142 given doses.
4p+2m=142
p+m=54
4p+2m=142
^^system of equation
p+m=54
4p+2m=142
p=54-m
4p+2m=142
(substitute 54-m to the equation)
4(54-m)+2m=142
m=37
(collect like terms, then substitute the value of m into the first equation)
p=54-37
p=17
(m, p)=(37, 17)
Step-by-step explanation:
i hope this helps, sorry for the wait
A number, x, rounded down to 1 significant figure is 40
Write down the error interval for x.
Please explain How you got the answer and thanks so much in advance
Error interval is 35 ≤ x < 45.
Error intervals working?
Error intervals work by providing a range of values within which the true population value is likely to fall, with a certain level of confidence. The most common level of confidence used is 95%, which means that if the survey or experiment were conducted multiple times, the true population value would fall within the error interval 95% of the time.
We are looking at a rounded value when we employ error intervals. The range of values that were possible before the number was rounded is described by an error interval.
Given: A number x becomes 40 if it is rounded to 1 significant figure
To find: error interval for x
In the given question, an error interval is the range of values that a number x can be equal to before it is rounded to 1 significant figure.
As a number x becomes 40 if it is rounded to 1 significant figure, error interval is 35 ≤ x < 45.
A number x in this interval becomes equal to 40 if it is rounded to 1 significant figure.
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Doughnuts at one shop cost £1.80 each.
Doughnuts at a second shop cost 15% more.
What is the difference in the cost of doughnuts at the two shops?
Answer:
Given:
Cost of doughnut at one shop = £1.40
Unknown:
Difference in the cost of doughnuts at the two shops = ?
To find the difference in the cost of doughnuts at the two shops, we must know the cost of doughnut at the second shop;
Given that the cost of doughnut at the other shop is 20% more;
= 1.20 x £1.4
= £1.68
The difference in the cost of doughnuts = £1.68 - £1.40 = £0.28
So the answer is £0.28
Answer:
If the donut cost 1.80 at the first shop it will cost 2.07 at the second shop. the difference is 27 cents
1.80×15%=.27
1.80+.27=2.07
Factor Completely:
-3x² + 15x - 12
Answer:
-3 (x - 4) (x - 1)
Step-by-step explanation: