A triangle coordinate translate T-8, 4(x, y). Then we can rewrite the translation rule as :
( x, y ) → ( x - 8, y + 4).
Solution:A translation is a type of transformation in which every point in a figure moves the same distance in the same direction. Slides are another term for translations. A translation can be described using words like "moved up 3 and over 5 to the left" or with notation.The function translation / transformation rules are as follows: f (x) + b raises the function by b units. The function f (x) b is shifted downward by b units. f (x + b) moves the function to the left by b units.Here we know that according to the translation rule Ta,b( x , y) the translation of a point (x,y) by (a,b) is given by:
(x , y) → ( x + a , y + b)
The following statement is true: A triangle on a coordinate plane is translated according to the rule.
T₋₈ , ₄(x , y).
Then, another way to write this rule is:
( x , y) → (x + (-8) , y + (4))
( x, y ) → ( x - 8, y + 4).
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Etudier le signe du trinôme :
-3x² +6x+9 sur [-10,10].
you. aren't. alone.......
determine if the sequence is arithmetic
-9,21,51,81
The statement about the sequence that is true is that it is an arithmetic sequence
How to determine the true statement?The sequence is given as
-9,21,51,81
Test for arithmetic sequence:
An arithmetic sequence is any seqeunce that has a common difference
So, we start by checking if the sequence has a common difference
This is represented as
d = 21 - (-9) = 30
d = 51 - 21 = 30
d = 81 - 51 = 30
The sequence -10, -3, -10, -3, -10, ... has a common difference
This is so because the difference between consecutive terms of the sequence is the same i.e. 30
Hence, the sequence is an arithmetic sequence
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Evaluate. − [−1 4/5÷0.3(1.2)]−5/6 What is the value of the expression? Enter your answer as a simplified mixed number in the box.
The value fo the expression - [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 as a mixed number is 4 1/6.
Consider the expression,
- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6
By using the BODMAS rule, we will first solve the inner parenthesis.
- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = - [ - 9/5 ÷ 0.36 ] - 5/6
Now dividing the terms in the inner parenthesis {}.
- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = - [ - 1.8 ÷ 0.36 ] - 5/6
- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = - [ - 5 ] - 5/6
- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 5 - 5/6
By the BODMAS rule subtracting the remaining terms.
- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 5/1 - 5/6
The LCM of 1 and 6 is 6.
- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = ( 30 - 5 )/6
- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 25/6
- [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 = 4 1/6
The value of the expression - [ - 1 4/5 ÷ 0.3( 1.2 ) ] - 5/6 is 4 1/6.
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) Graph and label the following and then tell where the point is located. (quadrant or axis) W (-3,0) I (-2, -3) N (0,4) T (-1, 2) E (6, -2) R (-5, -6).
The (-3,0) is on x- axis, (-2,-3) is on third quadrant, (0,4) is on y- axis, (-1,2) is on second quadrant, (6,-2) is on fourth quadrant, (-5,-6) on third quadrant.
What is quadrant?
The quadrants on a graph are the four parts of a 2D Cartesian plane. Each quadrant is an infinite region, and adjacent quadrants meet on half of an axis (the positive or negative half of the x or y axis).
In first quadrant all the values are positive, in second quadrant x co-ordinate is negative and y is positive, on third quadrant both values are negative, and in fourth quadrant, y co-ordinate is negative and y is positive,
when the value of x co-ordinate is zero then value lies on y-axis
when the value of y co-ordinate is zero, the point lies on x -axis.
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Whcih graph shows a function and its inverse A. B. C. D.
Graph A shows a function and its inverse A. B. C. D.
What is a function and its inverse?An output is produced by a function after it accepts inputs, applies specific operations to the values, and produces an output. The inverse function works, agrees with the resultant, and returns to the original function An inverse relationship is created when an independent variable is switched out for a variable that depends on a given equation; an inverse relationship may or may not be a function.
Inverse functions, indicated by f-1(x).on, are those in which the inverse of a function is that function itself.
It is common practice to swap the coordinates x and y when calculating an inverse. This new inverse is not necessarily a function, but it is a relation.
To guarantee that the inverse function is also a function, the initial function must be a one-to-one function.
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Determine which equation is false based on the solution set.
S:{5}
6 = 2y − 4
4(b + 5) = 40
one fifth times x plus 16 equals 17
−32 = 2(3p − 6)
PLEASE QUICKLY!
The equation that is false based on the solution set is D. −32 = 2(3p − 6)
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
6 = 2y − 4
This will be:
2y - 4
2(5) - 4
10 - 4 = 6
4(b + 5) = 40
4(5 + 5)
4(10) = 40
one fifth times x plus 16 equals 17
1/5x + 16
1/5(5) + 16
1 + 16 = 17
Therefore, the last option doesn't fit in.
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Answer:D. −32 = 2(3p − 6)
Step-by-step explanation:
hi how are you , attached document not sure if my choice its correct
1) To find the mean of this data set, we need to add them up and divide it by the number of data points.
2) So let's write them down:
12, 17,16,10,20,13,14,14,12,12,19,18
[tex]\begin{gathered} \bar{x}=\frac{12+17+16+10+20+13+14+14+12+12+19+18}{12} \\ \bar{x}=14.75 \end{gathered}[/tex]And that is the answer.
 A TV has a listed price of $784.98 before tax if the sales tax is 7.75% find the total cost of the TV with sales tax included
The total cost of the television with sales tax included is $ 845.81
What is a percentage and how do we calculate it?
A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it. No dimension exists for percentages. Thus, it is referred to as a dimensionless number.
Mathematically, Percentage formula = (Value/Total value) × 100
Given, the listed price of the television = $ 784.98
Percentage value of sales tax on purchase = 7.75
Using the mathematical formula in the above literature, we get
7.75 = (Value/784.98) × 100 ⇒ Value = (7.75*784.98)/100 = 60.83
Thus, total cost of the television will be:
Listed price + Value = $(784.98 + 60.83) = $ 845.81
Therefore, the total cost of the television with sales tax included is
$ 845.81
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Suppose $15,000 is invested in an account with an APR of 4.6%.
If the interest is compounded annually, how much interest is earned over the first 12 years?
If the interest is compounded monthly, how much interest is earned over the first 12 years?
If the interest is compounded daily, how much interest is earned over the first 12 years?
If the interest is compounded continuously, how much interest is earned over the first 12 years?
Answer:
Step-by-step explanation:
P=Po(1+(r/n)^nt,
t=time in years
r=rate
n=number of compoundings per year
=17000(1+.046)^12, round at the end = $29162.79
Annually = 15000 (1+(.046/12))^144 = $29493.15
Monthly = 15000 (1+.046/365))^(365*12) = $29523.26
Daily = Poe^(rt)=Poe^(.552) = $29524.29
interest earned is each of the above minus $15000 that was the principal.
Use the distance formula do to determine what type of triangle DEF is if it has coordinates D(2, 1), E(3, 5), F(6, 2). Just write the number you get under the square root symbols in the blank below in order.1. What is the length of DE2. What is the length of EF3. What is the length of DFList your answers for the above length of sides the name what type of triangle is DEF
Step 1
Draw the triangle DEF
Step 2
State the formula for the distance between two points
[tex]D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)}^2[/tex]Step 3
Find the length of DE
[tex]\begin{gathered} DE=\sqrt[]{(3-2)^2+(5-1)^2} \\ DE=\sqrt[]{1^2+4^2} \\ DE=\sqrt[]{1+16} \\ DE=\sqrt[]{17} \end{gathered}[/tex]Step 3
Find the length of EF
[tex]\begin{gathered} EF=\sqrt[]{(6-3)^2+(2-5)^2} \\ EF=\sqrt[]{3^2+(-3)^2} \\ EF=\sqrt[]{9+9} \\ EF=\sqrt[]{18} \end{gathered}[/tex]Step 4
Find the length of DF
[tex]\begin{gathered} DF=\sqrt[]{(6-2)^2+(2-1)^2} \\ DF=\sqrt[]{4^2+1^2} \\ DF=\sqrt[]{16+1} \\ DF=\sqrt[]{17} \end{gathered}[/tex]Step 5
Find out what type of triangle it is.
An isosceles triangle is a triangle that has two sides of equal length.
Since triangle DEF has lines DF and DE to be equal in length, we can conclude that triangle DEF is an Isosceles triangle
8) A sheet of 10 tickets at the carnival costs $8. If you want to buy 35 tickets, how much would that cost?a) Write a proportion to represent the situation.b)Solve the proportion.
A sheet of 10 tickets at the carnival costs $8. If you want to buy 35 tickets, how much would that cost?
a) Write a proportion to represent the situation.
b) Solve the proportion.
Using a proportion
10/8=35/x
solve for x
Multiply in cross
10*x=8*35
x=(8*35)/10
x=$28
therefore
the answer is
$28Researchers watched dolphin groups off the coast of Ireland in 1998 to determine what activities the dolphin groups partake in at certain times of the day. The numbers in table below represent the number of dolphin groups that were partaking in an activity at certain times of days.
Activity Morning Noon Afternoon Evening Total
Travel 6 6 14 13 39
Feed 28 4 0 56 88
Social 38 5 9 10 62
Total 72 15 23 79 189
What is the probability that a dolphin group is partaking in social activities?
Round your final answer to 3 decimal places.
b) What is the probability that a dolphin group is around in the afternoon?
Round your final answer to 3 decimal places.
c) What is the probability that a dolphin group is partaking in social activities given that it is around in the afternoon?
Round your final answer to 3 decimal places.
d) What is the probability that a dolphin group is around in the afternoon given that it is partaking in social activities?
Round your final answer to 3 decimal places.
e) What is the probability that a dolphin group is around in the morning given that it is partaking in social activities?
Round your final answer to 3 decimal places.
f) What is the probability that a dolphin group is around in the morning and is partaking in social activities?
Round your final answer to 3 decimal places.
g) What is the probability that a dolphin group is around in the morning or is partaking in social activities?
Round your final answer to 3 decimal places.
The probabilities for this problem are given as follows:
a) Dolphin partaking in social activities: 0.328 = 32.8%.
b) Dolphin group is around in the afternoon: 0.122 = 12.2%.
c) Dolphin partaking in social activities given that that is around in the afternoon: 0.391 = 39.1%.
d) Dolphin group is around in the afternoon given that it is partaking in social activities: 0.145 = 14.5%.
e) Dolphin group is around in the morning given that it is partaking in social activities: 0.613 = 61.3%.
f) Dolphin group is around in the morning and is partaking in social activities: 0.201 = 20.1%.
g) Dolphin group is around in the morning or is partaking in social activities: 0.508 = 50.8%.
What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
Hence, for each item in the problem, we have to identify the number of desired outcomes and the number of total outcomes to find the probability.
Item aThe outcomes are as follows:
Desired: 62 Dolphins partaking in social activities.Total: 189 Dolphins.Hence the probability is:
p = 62/189 = 0.328 = 32.8%.
Item bThe outcomes are as follows:
Desired: 23 Dolphins around in the afternoon.Total: 189 Dolphins.Hence the probability is:
p = 23/189 = 0.122 = 12.2%.
Item cThe outcomes are as follows:
Desired: 9 Dolphins around in the afternoon and partaking in social activities.Total: 23 Dolphins around in the afternoon.Hence the probability is:
p = 9/23 = 0.391 = 39.1%.
Item dThe outcomes are as follows:
Desired: 9 Dolphins around in the afternoon and partaking in social activities.Total: 62 partaking in social activities.Hence the probability is:
p = 9/62 = 0.145 = 14.5%.
Item eThe outcomes are as follows:
Desired: 38 Dolphins around in the morning and partaking in social activities.Total: 62 partaking in social activities.Hence the probability is:
p = 38/62 = 0.613 = 61.3%.
Item fThe outcomes are as follows:
Desired: 38 Dolphins around in the morning and partaking in social activities.Total: 189 Dolphins.Hence the probability is:
p = 38/189 = 0.201 = 20.1%.
Item gThe outcomes are as follows:
Desired: 72 Dolphins around in the morning, plus 24 partaking in social activities in either noon, afternoon or evening. Total: 189 Dolphins.Hence the probability is:
p = 96/189 = 0.508 = 50.8%.
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Write an inequality for the following statement A is less than 9
The inequality that corresponds to the following expression, "A is less than 9" is:
[tex]A<9[/tex]Chen hikes some miles during the first week of his vacation. During the second week of his vacation, he hikes 18 miles. He hikes 37 miles total during both weeks. How many miles does Chen hike during the first week? Show your work
The most appropriate choice for subtraction will be given by -
Chen hiked 19 miles in the first week
What is subtraction?
Subtraction is used to find the difference between two numbers. It is also used for taking one number from the other. The larger number is called minuend and the smaller number is called subtrehend.
Total distance hiked by Chen = 18 miles
Distance hiked by Chen in second week = 37 miles
Distance hiked by Chen in the first week = 37 - 18
= 19 miles
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please help thank you..
PLEASE HELP AND BE FAST!! I will give brainlesest to whoever has the right awnser!
After using exponent and power we will get [tex]\frac{1}{16}[/tex] that means the correct option is C.
Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times. Exponent is the number to which a number is raised so as to define its power as a whole expression.
Given that,
[tex](\frac{(\frac{1}{4})^{7} }{(\frac{1}{4})^{6} })^{2}[/tex]
In the numerator [tex]\frac{1}{4}[/tex] is 7 times and in the denominator [tex]\frac{1}{4}[/tex] is 6 times.
By using the rule of division in exponent and power
[tex]\frac{(a)^{m}}{(a)^{n}} = (a)^{m-n}[/tex]
[tex]((\frac{1}{4})^{7-6})^{2}[/tex]
[tex](\frac{1}{4})^{2}[/tex]
[tex]\frac{1}{16}[/tex]
Hence, Option c is correct.
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what is the factorization of 7 y + 56
Given the expression:
[tex]7y+56[/tex]notice that both coefficients are divisible by 7, then, we can factor the expression like this:
[tex]7y+56=7(y+8)[/tex]What are the coordinates of the point on the directed line segment from (5, -4) to (8, -10) that partitions the segment into a ratio of 2 to 1?
The coordinates along the directed line segment is (7, -8)
What is line segment ratio?This is a concept that involves partitioning a line into proportional ratios
How to find the coordinates of the point?The points are given as:
A = (5, -4)
B = (8, -10)
The ratio on the segment can be represented as;
m : n = 2 : 1
So, we have the coordinates of the point that lies along the directed line segment to be
Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)
So, we have:
Point = 1/(2 + 1) * (2 * 8 + 1 * 5, 2 * -10 + 1 * -4)
Evaluate
Point = 1/3* (21, -24)
Evaluate the products
Point = (7, -8)
Hence, the coordinates of the point is (7, -8)
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Answer:
Full Answer:(7,−8)
Step-by-step explanation: �
Find the mode for the amounts: $17,371; $14,950, $13,592, $14,589, $18,508; $14,950.Select the correct choice below and fill in any answer boxes within your choice.(Use a comma to separate answers as needed.)O A. The mode(s) is/are $OB. There is no mode.
The mode of a data set is the number that repeats the most.
In this case, we can see that teh value $14,950 is twice.
Then the correct answer is option A. The mode is $14,950
Which expression is in simplest form?A. 2r2/7yB. 273/7y4C. XyV16xyOD. 2V7274
The expression in its simplest form cannot be simplified or factorized any further.
From the options given, answer option A, which is
[tex]2x^2\sqrt[]{7y}[/tex]Cannot be factored any further.
This expression is in its simplest form.
The others, that is options B, C and D can be simplified further.
The answer is option A
If A and B are independent events with P(A) = .05 and P(B) = .65, then P(A | B ) = _____. a..8b..0325c..65d..05
Given: A and B are independent events with P(A) = 0.05 and P(B) =0 .65.
Required: To find P(A | B).
Explanation: For independent events A and B we have
[tex]P(A\cap B)=P(A)\times P(B)[/tex]Hence,
[tex]P(A|B)=\frac{P(A)\times P(B)}{P(B)}[/tex]which gives,
[tex]\begin{gathered} P(A|B)=P(A) \\ =0.05 \end{gathered}[/tex]Final Answer: Option D is correct.
Find the amount of time to the nearest day it would take a deposit of $1000 to grow to $1 million at %3 compounded continuously.
The time required to the nearest day to make the deposit of $1000 to grow to $1 million at 3% compounded continuously is 84044 days.
In the question ,
it is given that
the deposit ( principle amount P) = $1000
the final amount (A) = 1 million = $1000000
the rate of interest (r) = 3% = 0.03
let the time taken to make $1000 to 1 million be " t ".
The continuous compounding interest is given by the formula
[tex]A = P\times e^{r t}[/tex]
where A is the final amount
P is the principle amount
r is the rate of interest
t is the time taken
Substituting the values of A , P , r and t from above , we get
1000000 = 1000×[tex]e^{0.03*t}[/tex]
10000000/1000 = [tex]e^{0.03t}[/tex]
1000 = [tex]e^{0.03t}[/tex]
taking ln on both the sides
㏑(1000) = ㏑([tex]e^{0.03t}[/tex])
㏑(1000) = (0.03t)*㏑(e)
6.9077 = (0.03t)*1 .... as ln(e) = 1 and ln(1000)=6.9077
6.9077 = 0.03*t
t = 6.907755/0.03
t = 230.2585
So , time required is 230.2585 years .
to convert into days , we multiply by 365.
time ( in days) = 230.2585×365
= 84044.3525
≈ 84044 days
Therefore , the time required to make the deposit of $1000 to grow to $1 million at 3% compounded continuously is 84044 days .
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Find a. the mean; b. the deviation from the mean for each data item; and c. the sum of the deviations in part (b) for the
following group of data items.
136, 141, 146, 149, 153
Given the dataset 136, 141, 146, 149, 153
The mean is the total number of datasets divided by the sum of the datasets.
What is meant by mean?The average of a set of values is referred to as the mean. The simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean are all methods for calculating the mean.
The mean of a dataset (also known as the arithmetic mean, as opposed to the geometric mean) is the total number of values divided by the sum of all values. It is the most commonly used measure of central tendency and is also known as the "average."
Therefore,
a) [tex]$&\text { Mean }=\sum X i / N \\[/tex]
[tex]$&\bar{x}=\frac{136+ 141+146+ 149+ 153}{5} \\[/tex]
[tex]$&\bar{x}=\frac{725}{5} \\[/tex]
[tex]$&\bar{x}=145[/tex]
b) The formula for calculating the deviation from the mean for each value is expressed as [tex]$X i-\bar{X}[/tex] where;
Xi is value of each item
x bar is the mean = 145
Mean deviation of 136 = 136-145 = -9
Mean deviation of 141= 141-145 = -4
Mean deviation of 146= 146-145 = 1
Mean deviation of 149= 149-145 = 4
Mean deviation of 153= 153-145 = 8
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Maddie is setting out some snacks for friends she is having over. She has 20 crackers and 30 slices of cheese. If she wants each plate to be identical, with no food left over, what is the greatest number of plates Maddie can prepare?
Help me please
help me before my teacher comes
(A) The equation 6x + 2y = - 12 in slope intercept form is y = - 3x - 6
Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.
Consider the equation,
6x + 2y = - 12
The equation of a line in slope intercept form is given as:
y = mx + b where m is the slope and b is the y-intercept.
Now,
6x + 2y = - 12
Subtracting 6x from each side of the equation,
6x + 2y - 6x = - 12 - 6x
2y = - 12 - 6x
Dividing each side of the equation by 2,
y = - 3x - 6
Comparing the equation with y = mx + b.
m = - 3 and b = - 6
Therefore, the equation in slope intercept form is y = - 3x - 6.
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Choose Yes or No to tell if each equation is true.
840
÷
70
=
14
Choose...
480
÷
30
=
16
Choose...
640
÷
40
=
16
Choose...
910
÷
30
=
31
Choose...
Answer:
1.no, because 840 divide by 70 equals 12 and 12 does not equal 14
2.yes, because 480 divided by 30 does equal 16 and 16=16
3.yes, because 640 divided by 40 does equal 16 and 16=16
4.no, because 910 divide by 30 equals 30.333 and 30.333 does not equal 31
Step-by-step explanation: Hope this helps
Answer:yes no yes no
Step-by-step explanation:
im to lazy to add step my step but i 100% correct
Which of the following is the largest?A) 0.45b) πc)3 1/4d) 17 A BCD
The value of π is given and it is approximately 3.1416
Additionally, 3 1/4 is equivalent to:
[tex]3\frac{1}{4}=3+\frac{1}{4}=3+0.25=3.25[/tex]So, the largest number is D. 17
The stereo that Dontay bought wasoriginally priced at $199. Dontay boughtthe stereo on sale for 20% off. How muchmoney did Dontay save?
We are told that Dontax bought the stereo on a sale of 20% off, meaning he will only have to pay 100% -20% = 80% of the price.
Now, 80% of $199 is
[tex]199\times\frac{80}{100}[/tex][tex]=\$159.2[/tex]Hence the amount of money Dontay saved is
[tex]199-159.2=\$39.8[/tex]Which is our answer!
mZFCD= x + 41, mZBCF = x + 78,and mZBCD=95°. Find x.
You have the following information:
m∠FCD = x + 41
m∠BCF = x + 78
m∠BCD = 95°
In order to find the value of x, you consider that the sum of the measure of angles ∠FCD and ∠BCF is equal to the measure of angle ∠BCD.
Thus, you have:
m∠FCD + m∠BCF = m∠BCD you replace by the given expressions
(x + 41) + (x + 78) = 95 you eliminate parenthesis
x + 41 + x + 78 = 95 simplify similar terms
x + x + 41 + 78 = 95
2x + 119 = 95 subtract 119 both sides
2x = 95 - 119
2x = -24 divide by 2 both sides
x = -24/2
x = -12
Hence, the value of x is - 12
Write an equation of the line passing through the points (3,9) and (-1,-15).
I
Answer:
y = 6x - 9
Step-by-step explanation:
equation of line y = mx + b
lets find the slope m = (y2-y1)/(x2-x1):
m = ((-15)-9)/((-1)-3)
m = 6
let's plug this into our equation:
y = 6x + b
now we can plug in a point, I choose (3,9)
9 = 6(3) + b
b = -9
lets plug everything into our equation
y = 6x - 9
