Answer:
Circle
Step-by-step explanation:
enlarge (2,-2) (4,-2) (2,-4) (4,-4) by scale factor 3.5 with centre of enlargement (4, -6)
The image of dilating the points by a scale factor 3.5 with centre of enlargement (4, -6) is (-7, 14), (0, 14), (-7,7) and (0, 7)
How to dilate the points?The coordinates are given as:
(2,-2) (4,-2) (2,-4) (4,-4)
The scale factor is given as:
k = 3.5
The center of enlargement is given as:
(a,b) = (4, -6)
The image of dilation is calculated using:
[tex](x,y) \to (k(x -a), k(y -b))[/tex]
So, we have:
A = (3.5(2 -4), 3.5(-2 +6))
A = (-7, 14)
B = (3.5(4 -4), 3.5(-2 +6))
B = (0, 14)
C = (3.5(2 -4), 3.5(-4 +6))
C = (-7,7)
D = (3.5(4 -4), 3.5(-4 +6))
D = (0, 7)
Hence, the image of dilating the points is (-7, 14), (0, 14), (-7,7) and (0, 7)
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Which statements are true regarding the scenario? check all that apply. the probability you select a red marble is three-tenths. the probability you select a purple marble is three-tenths. p(red) p(yellow) p(purple) = 1 the probability you select a green marble is 0. the probability you select a yellow marble is 3.
The correct options are:
The probability you select a purple marble is 3/10
P(Red) + P(Yellow) + P(Purple) = 1
The probability you select a green marble is 0.
What are the correct options?Probability calculates the chance that an event would happen. If it is certain that the event would not happen, it would have a value of 0. If it is certain that the event would happen, it would have a value of 1.
Probability of picking a red marble = total number of red marbles / total number of marbles
= 4/10
Probability of picking a purple marble = total number of purple marbles / total number of marbles
3/10
P(Red) + P(Yellow) + P(Purple) = 4/10 + 3/10 + 3/10 = 1
Here is the complete question:
A bag contains four red marbles, three yellow marbles, and three purple marbles. You will randomly select one marble from the bag.
Which statements are true regarding the scenario? Check all that apply.
The probability you select a red marble is 3/10
The probability you select a purple marble is 3/10
P(Red) + P(Yellow) + P(Purple) = 1
The probability you select a green marble is 0.
The probability you select a yellow marble is 3.
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Answer:
b,c,d on edge
Step-by-step explanation:
trust
90 POINTS!! PLEASE HELP, IF YOU GIVE CORRECT ANSWER ILL GIVE YOU BRAINLIEST!!
Answer:
the answer is b
Step-by-step explanation:
you multiply 0.1% or 0.001 to 4200
the reason I am not multiplying 1.2% is because that is for yearly and 0.1% is for monthly
Answer:
A
Step-by-step explanation:
find 1.2% of £4,200 then multiply it
A model stature is 5 in wide. If it was built with a scale of 1 in: 2 ft, then how wide is the real statue?
(Pls awnser quickly)
Answer:
10 ft.
Step-by-step explanation:
Scale ⇒ 1 in. : 2 ft.
1 in. : 2ft. = 5 in. : x ft. [x is the width of the real statue]1/2 = 5/xx = 5 × 2x = 10 ft.Scale factor
1in=2ftWidth of model=5in
Width of structure
5(2)10ftA group of students want to determine if a person's height is linearly related to the distance they are able to jump.
To determine the relationship between a person's height and the distance they are able to jump, the group of students measured the height, in inches, of each person in their class and then measured the distance, in feet, they were able to jump from a marked starting point.
Each student was given three tries at the jump and their longest jump distance was recorded. The data the students collected is shown below.
Enter the correlation coefficient. Round your answer to the nearest hundredth.
The correlation coefficient is 0.92
What is Correlation Coefficient ?
A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.
In other words, it reflects how similar the measurements of two or more variables are across a dataset.
When one variable changes, the other variables change in the same direction or opposite direction.
Perfect positive correlation :When one variable changes, the other variables change in the same direction.
Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.
[tex]\rm r = \dfrac{\sum (x_{i}-x')(y_{i}-y')}{\sqrt {\sum (x_{i}-x')^{2} \sum (y_{i}-y')^{2}}}[/tex]
After calculation we get
r = 0.92
Therefore it is a Perfect positive correlation
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If a sprinkler rotated 90˚, paused and then rotated another 90˚, how many degrees
did it rotate altogether
Answer:180 or halfwayStep-by-step explanation:90 is 1/4 and 360 is a full rotation so it rotated halfway all together.
PLEASE HELP!! ILL MARK U AS BRAINLIEST!!!
The answer would be [tex]\frac{1}{2}[/tex].
The probability of getting a 5 is [tex]\frac{1}{100}[/tex] and the probability of getting a number larger than 50 is [tex]\frac{49}{100}[/tex] (the 50 doesn't count). Add those up and you get [tex]\frac{50}{100}[/tex] and can be simplified to [tex]\frac{1}{2}[/tex].
Answer:
51/100
Step-by-step explanation:
The probability is the ratio of the number of outcomes of interest to the total number of possible outcomes.
__
There is one number 5. There are 50 numbers in the range 1–100 that are greater than 50. So, the total number of outcomes of interest is 1+50 = 51.
The possible outcomes are any of the numbers 1–100, so there are 100 of them.
The probability of interest is ...
P(n=5||n>50) = 51/100
find angle BAD of the diagram.
[tex]∠BAD≈65.22°[/tex]
Step-by-step explanation:Note:
The following formula is tan formula:
[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]
1) Finding the tan of ∠BAC
[tex]tan(\theta)=\dfrac{4}{5}[/tex]
[tex]\theta=tan^-1(\dfrac{4}{5})[/tex]
2) Finding the tan of ∠CAD
[tex]tan(\theta)=\dfrac{3}{6}[/tex]
[tex]\theta=tan^-1(\dfrac{3}{6})[/tex]
3) Add the value of ∠BAC to the value of ∠CAD
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{3}{6})≈65.22°[/tex]
4) The sum of interior angles in quadrilateral is 360°
Then
[tex]tan(∠BAC)+tan(∠ACB)+tan(∠CAD)+tan(∠ACD)=360°[/tex]
[tex]tan^-1(\dfrac{4}{5})+tan^-1(\dfrac{5}{4})+tan^-1(\dfrac{3}{6})+tan^-1(\dfrac{6}{3})=180°[/tex]
[tex]180°+∠CDA+∠CBA=^?360[/tex]
[tex]180°+90°+90°=^?360°[/tex]
[tex]360°=360°[/tex]
What is 5log3+log4 as a single logarithm?
[tex]~~~5 \log 3 + \log4 \\\\=\log 3^5 + \log 4~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=\log(3^5 \cdot 4)~~~~~~~~~~~~~~~~~~~~~~;[\log_b(mn) = \log_b m + \log_b n]\\\\=\log(972)[/tex]
Which side is adjacent to Angle Q?
48
14
50
Answer: 48
Step-by-step explanation: 50 is the hypotenuse
14 is the opposite side - its opposite of angle Q
Soup A has 8 grams of sodium in 10 cups. Soup B has 7 grams of sodium in 14 cups. Which soup has more sodium per cup?
Answer:
Soup A
Step-by-step explanation:
For this we need to find the number of sodium per cup. To do this, we divide the ratios by the number of cups. 8:10 would be 10/10 (1 cup) and 8/10 (.8 g per cup). 7:14 would be 14/14 (1 cup) and 7/14 (.5 g per cup). So, soup A has .8 g of sodium per cup and soup B has .5 g of sodium per cup. .8>.5, so soup A has more sodium.
Hope this helps!
The Small Business Administration guarantees some loans. The fee for this can range up to 3.75%. On a $1M business loan, how high could the fee be?
Answer:
$37,500
Step-by-step explanation:
The amount of the fee is the product of the fee rate and the amount to which that rate is applied.
__
3.75% × $1,000,000 = 0.0375 × $1,000,000 = 37.5 × $1000
= $37,500
The fee on a $1M loan could range up to $37,500.
_____
Additional comment
If you're computing this by hand, it can be easier to (a) use scientific notation, or (b) adjust the decimal points as we have shown here. In this case, we multiplied the percentage by 1000 and divided the loan amount by 1000. The product remains the same, but the numbers are easier to deal with.
In scientific notation, this is 3.75E-2 × 1E6 = 3.75E4 = 37.5E3 = 37,500, where the "E" notation would be that used by a calculator or spreadsheet.
Use three different values of n to demonstrate that 2 n + 3 n is equivalent to 5 n .
Answer:
2n + 3n equals to 5n in the end, so just set n equal to literally any number :)
Step-by-step explanation:
Example:
Let n = 1000
2(1000) + 3(1000) = 5(1000)
5000 = 500
Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides
Answer:
2n + 3n equals to 5n in the end, so just set n equal to literally any number
Step-by-step explanation:
Example:
Let n = 1000
2(1000) + 3(1000) = 5(1000)
5000 = 500
Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides
¿Es cierto que 8/12 2/4 = 1 1/6?
Give the final answers in scientific notation
Answer:
I'm assuming you want me to do 18-23? Okay:
Step-by-step explanation:
18) 8.6(10^−4)+6.7(10^−5)
=0.000927 --> 9.27 × 10^-4
19) 3.5(10^3)−9(10^1)
=3410 --> 3.41 × 10^3
20) 5.6(10^4)(4.5(10^6))
=252000000000 --> 2.52 × 10^11
21) 7.6(10^−7)(8.9(10^−2))
=0 --> 0
22) 3.9(10^−12)/4(10^4)
=0 --> 0
23) 1.75(10^5)/5(10^−3)
=35000000 --> 3.5 × 10^7
-
Please comment below if you would like me to solve #24 :)
The bolded numbers are the answer, the underlined numbers are to show the question number. Hope this helped !!
Find the distance between the points (2, 8) and (-1, 9).
1.√10
2. √2
3.2√3
Answer:
1.
Step-by-step explanation:
distance = √(X2 - X1)^2 + (Y2 - Y1)^2
= √(-1 - 2)^2 + (9 - 8)^2
= √(-3)^2 + (1)^2
= √ 9 + 1
= √10
Answer:The distance is √10
Step-by-step explanation:
Can a regular polygon have an interior angles of 160
Answer:
Step-by-step explanation: interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.
yes it can have 160 degree as interior angel
Solve for the exact values of x and y.
x =
y =
Answer:
Here is the solution...hope it helps:)
One angle of a triangle measures 65°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?
Answer:
15° and 100°
Step-by-step explanation:
[tex]65 + 3x + 20x = 180[/tex]
[tex]23x = 115[/tex]
[tex]x = 5[/tex]
3 × 5 = 15, 20 × 5 = 100. So the other two angles measure 15° and 100°.
Kegan thought that the solution to this equation might be around 10.
Does that make sense to you?
4x − 20 = 2x + 8
Answer:
x=14
Step-by-step explanation:
collect like terms, like so
Answer:4(x−2)−8=4+2x
Use the distributive property to multiply 4 by x−2.
4x−8−8=4+2x
Subtract 8 from −8 to get −16.
4x−16=4+2x
Subtract 2x from both sides.
4x−16−2x=4
Combine 4x and −2x to get 2x.
2x−16=4
Add 16 to both sides.
2x=4+16
Add 4 and 16 to get 20.
2x=20
Divide both sides by 2.
x=
2
20
Divide 20 by 2 to get 10.
x=10
Step-by-step explanation:
Which of the following ordered pairs does NOT represent a point that lies on the graph of the linear equation x + 5y = 15?
A. (10, 1)
B. (-5, 1)
C.(5, 2)
D.(-10, 6)
Answer:
D
Step-by-step explanation:
(-10,6) got it correct
Question 7(Multiple Choice Worth 1 points)
(07.05 MC)
graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
The function best represents the given graph will be f(x) = (x + 3)(x − 3)(x - 1)
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given that:-
A graph of a cubic polynomial that falls to the left and rises to the right with x-intercepts negative 3, negative 1, and 3.The polynomial for the given points will be written as:-
f(x) = (x + 3)(x − 3)(x - 1)
The coordinate is -3 so it will be written as (x+3) similarly 1, and 3 will be written as (x-3) and (x-1) .
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I need the numbers please con y’all help me
Answer:
y=2/3x+4
Step-by-step explanation:
4 is y-intercept
2/3 is the slope (rise/run)
Answer: y = [tex]\frac{2}{3}[/tex]x + 4
Step-by-step explanation:
This is in slope-intercept form. We are missing the m and the b value. See attached for more information.
[m aka the slope]
Starting from point (-6, 0), counting up 2 units, then right 3 units to point (-3, 2), gives us a slope of [tex]\frac{2}{3}[/tex] via rise-over-run
[b aka the y-intercept]
The line intersects the y-axis at positive 4.
-> This value is "4"
.The figure below includes a semicircle and
trapezoid. Find the area of the figure.
Answer:
244.93
Step-by-step explanation:
area formula for trapezoid:1/2*(b1+b2)*h
area formula for semi circles: (3.14*r^2)/2
so then we cut the figure to make a semi cirlce and trapazoid
semicircle- 14 is the full diameter, divide by 2 to make 7, 7×3.14×7)/2=76.93
trapezoid: base one is 18. base 2 is 14. 18+14=32 then times that by 10.5 which is 336 and divide that by 2 is 168
add both and you get 244.93
Solve the following system of equations algebraically.
x+y=27
y=x+3
*first person to get it right gets brainliest :)
Answer:
(x, y) = (12, 15)
Step-by-step explanation:
The given expression for y suggests that using substitution would be a good choice for the method of solution.
__
x +(x +3) = 27 . . . . substitute for y using the second equation
2x = 24 . . . . . . . subtract 3
x = 12 . . . . . . . divide by 2
y = 12 +3 = 15 . . . . use the second equation to find y
The solution is (x, y) = (12, 15).
Find the median and mean of the data set below:
2,26,29,38,22,27
Answer: The mean is 24, and the median is 26.5 .
Step-by-step explanation: To find the mean, one must add all the numbers in a set of data and divide it by the amount of numbers added. To find the median, one must line the numbers in a set of data from biggest to smallest. The number in the middle is the median. If the amount of numbers in the set are even, resulting in no middle, the two numbers closest to the middle are added and then divided by two. The resulting number is the median. In this case I had to add and divide.
?÷9 resto:6 resultado:476 me ayudan necesito saber cual es el numero que se divide por 9 para que la division quede completa.
Porfa doy coronita y les doy mis puntos.
Answer:
4289.4
Step-by-step explanation:
El valor que falta es 4289.4, 4289.4 ÷ 9 = 476.6
What fraction is 3 hours of 30 minutes
Answer:
7/2
Step-by-step explanation:
3 hours and 30 minutes = 7/2 in improper fraction
1 hour = 60 minutes
30 minutes = 30 minutes * 1 hour/60 minutes =30/60 = 1/2 hour
3 hours and 30 minutes:
= 3 hours + 1/2 hour
= 3 1/2 hours
= [(2 * 3)+1]/2
= [6+1]/2
= 7/2
Please help fast. Need soon!
need help asap pls pls
Answer:
I think no solution I'm not sure sorry if I'm wrong