For 90 degrees coordinate will be swapped and the position of the coordinate is in the third quadrant. Then the location of point q will be at (–4, –3).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
A rectangle is transformed according to the rule 90º.
The rectangle has vertices located at r'(–4, 4), s'(–4, 1), p'(–3, 1), and q'(–3, 4).
Then the location of q will be
For 90 degrees coordinate will be swapped and the position of the coordinate is in the third quadrant. Then the location of point q will be at (–4, –3).
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Evaluate the expression.
1/4 × 2/5 ÷ 1/3
Write your answer as a fraction or as a whole or mixed number.
it would help if you answered it as a fraction pls
Answer:
The answer is [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
Solve:2 In 3 = In(x-4)
x=13 and don't forget to mark me brainlist!
A study of the amount of time it takes a specialist to repair a mobile MRI shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 32 broken mobile MRIs are randomly selected, find the probability that their mean repair time is less than 8.9 hours.
Using the normal distribution, it is found that there is a 0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the parameters are given as follows:
[tex]\mu = 8.4, \sigma = 1.8, n = 32, s = \frac{1.8}{\sqrt{32}} = 0.3182[/tex]
The probability that their mean repair time is less than 8.9 hours is the p-value of Z when X = 8.9, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8.9 - 8.4}{0.3182}[/tex]
Z = 1.57
Z = 1.57 has a p-value of 0.9418.
1 - 0.9418 = 0.0582.
0.0582 = 5.82% probability that their mean repair time is less than 8.9 hours.
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Please need help with this things
Answer:
A B and C
Step-by-step explanation:
P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. The rth term of sequence P has the same values as the rth term of sequence Q. Work out the value of r.
Answer:
r = 21
Step-by-step explanation:
nth of sequence P :
[tex]T_{n} = 4n -2[/tex]
[tex]r^{th} term[/tex] : [tex]4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21[/tex]
Find the value of x. (Giving 30 points please hurry)
Answer: Hope this helps you!
x = 4
Step-by-step explanation:
4+(x-3) = 2x-3
remove parentheses (equals to 4+1(x-3) = 2x-3 which is equal to the same equation without parentheses)
4+x-3 = 2x-3
Simply
1+x = 2x-3
subtract x from both sides
1 = 1x -3
add 3 to both sides
4 = 1x
divide by 1
4 = x
Brainliest?
Which of the equations listed are parallel lines?
A:y=2x+ 3
B: y = 2x-5
C:y= -2x+ 3
Answer:
A and B
Step-by-step explanation:
Hello!
Parallel lines are lines with the same slope but different y-intercept.
y = mx + b
y = output, y-value, ordinatex = input, x-value, abscissam = slopeb = y-interceptA:
y = 2x + 3 has a slope of 2 and a y-intercept of 3.
B:
y = 2x - 5 has a slope of 2 and a y-intercept of -5
C:
y = -2x + 3 has a slope of -2 and a y-intercept of 3
Since A and B have the same slope but a different y-intercept, they are parallel lines.
The average age of a father and his four children is 12 years. The children are aged 3, 5, 6 and 10 years. Find the age of the father.
Answer:
Father=36 years old
Step-by-step explanation:
5 people 4 children and a father
average age=12
add the ages
3+5+6+10=24
24+12=36
check the work
36 +24=60
60/5=12
answer=36
Answer:
36 years old
Step-by-step explanation:
The average age of father and four children can be expressed in mathematics as:
[tex]\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}[/tex]
The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:
[tex]\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}[/tex]
Determine or let the following be:
f = father’s agec1 = first child’s agec2 = second child’s agec3 = third child’s agec4 = fourth child’s ageIt is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:
[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}[/tex]
From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.
First, multiply 5 both sides to get rid of denominator.
[tex]\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}[/tex]
Evaluate 3+5+6+10 which equals 24.
[tex]\displaystyle \large{f+24=60}[/tex]
Next, subtract both sides by 24 to isolate f-term.
[tex]\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}[/tex]
Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!
If you have any doubts, please let me know in the comment!
Find the total surface area of this cuboid.
4 cm
5 cm
2 cm
Answer:
You are to write a five paragraph literary essay based on one of the 4 prompts and what you have read and learned in this module. These are your options:
1. How do the events of "The White Umbrella" teach the narrator a lesson about shame and acceptance?
2. What role does creativity play in "The Bat-Poet"?
3. How does the character of Squeaky change over the course of "Raymond's Run"?
4. Discuss the influences of older family members on the protagonists and speakers in the stories and poems of this unit.
You are to write a five paragraph literary essay based on what you have read and learned in this module. Your final submission should meet the following requirements.
• Submit completed pre-writing and outline documents.
• Write an essay that contains an introduction with hook and thesis statement, supporting paragraphs with evidence and at least one quotation, and a conclusion that restates the thesis and reviews main points.
• Use transitions appropriate to the pattern of organization.
• Use vocabulary to create tone and voice.
• Cite primary source (quotation).
• Submit completed revision checklist.
• Vary sentence structure.
• Create sentences with parallel structures.
• Use technology in the writing process.
Step-by-step explanation:
To spend the least amount total, amir should buy the computer in . amir would pay the most sales tax in . amir would pay $60 in sales taxes in .
Amir should buy the computer in Paris
Amir would pay the most sales tax in Maryland.
Amir would pay $60 in sales tax in Washington DC
The complete question is
Amir lives in Washington, DC. He wants to buy a new computer for college, and it will cost him $1,000. In Washington, DC, the sales tax rate is 6 percent. In a nearby town in paris the sales tax rate is 5 percent. A few miles away in Maryland, the sales tax rate is 9 percent. To spend the least amount total, Amir should buy the computer in . Amir would pay the most sales tax in . Amir would pay $60 in sales tax in
What is sales tax?A sales tax is a tax paid to a governing body for the sales of certain goods and services.
In Washington, DC, the sales tax rate is 6 percent.
Paris, the sales tax rate is 5 percent.
Maryland, the sales tax rate is 9 percent.
1. To buy the computer he should prefer Paris
2. To pay the most sales tax he should prefer Maryland.
3. To pay $60 in sales tax in he should prefer Washington DC.
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Answer:
virginia, maryland, washington
Step-by-step explanation:
edge
A water tank is built in the form of a right rectangular prism, with dimensions that measure 17.6 ft by 12.6 ft by 10.4 ft. How many cubic feet of water would it hold when it’s a quarter full?
Volume is a three-dimensional scalar quantity. The amount of water that this tank will hold till it is a quarter full is 576.576 ft³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The total volume of the right rectangular prism will be,
Total Volume = 17.6ft × 12.6ft × 10.4ft
= 2306.304 ft³
Since the total volume of the right rectangular prism is 2306.304 ft³, the water it will hold will be equal to its volume.
Now, the amount of water that this tank will hold till it is a quarter full is,
Amount of water = Total volume /4
= 2306.304ft³ / 4
= 576.576ft³
Hence, the amount of water that this tank will hold till it is a quarter full is 576.576 ft³.
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Rewrite in simplest radical form 1 x^-3/6 . Show each step of your process.
Which is the graph of f(x) = (x + 3)(x - 2)?
6
6
4-
2
4 6
-6
4 -2
4
2
3
T
2
2
4
642
1-2
2
4 6
4
-2
2.
2
T9
2
Answer: It should look something like this.
Step-by-step explanation:
The graph of f(x) = (x + 3)(x - 2) is a parabolic function that is the product of two linear factors, (x + 3) and (x - 2).
The graph is given below.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To understand the graph, we can begin by considering the x-intercepts, which are the points where the graph crosses the x-axis.
These occur where the value of f(x) is zero, which happens when either
x + 3 = 0 or x - 2 = 0.
So the x-intercepts are x = -3 and x = 2.
Next, we can consider the leading coefficient, which is 1 in this case.
Since the leading coefficient is positive, the parabola opens upward.
We can also find the vertex of the parabola by completing the square.
We have:
f(x) = x² + x(-2 + 3) - 2(-3)
f(x) = x² + x + 6
Now we can rewrite this in vertex form:
f(x) = (x + 1/2)² + 23/4
So the vertex is (-1/2, 23/4), which is a minimum point on the graph.
Thus,
We can sketch the graph of f(x) = (x + 3)(x - 2) as an upward-opening parabola that crosses the x-axis at -3 and 2 and has a minimum point at (-1/2, 23/4).
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A sequence defined by f (1) = 3 and f (n) = 2 - f (n - 1) for n ≥ 2. Which of the following
statements defines the n' term of f?
Answer:
None of these
Step-by-step explanation:
See attached image
So
f(n)=2.f(n-1)Like that
f(2)
2.3=3×2¹f(3)
2.2.3=3×2²As you can see
It's an geometric progression
first term=a=3common ratio =r=2So the formula is
f(n)=3.2^{n-1}None of the above
Every triangle has __________ midsegments. : A) three B) two C) zero D) one
A quadrilateral has two angles that measure 200° and 110°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?
Answer:
20° and 30°
Step-by-step explanation:
the sum of the 4 angles in a quadrilateral = 360°
given 2 angles are 200° and 110° , then remaining 2 angles sum to
360° - 200° - 110° = 360° - 310° = 50°
sum the parts of the ratio, 2 + 3 = 5 parts , then
1 part = 50° ÷ 5 = 10° , so
2 parts = 2 × 10° = 20°
3 parts = 3 × 10° = 30°
the two angles are 20° and 30°
Which points do the graph of f and g have in g(x)=log2x and g(x)=log10x
Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)
Logarithmic functionLogarithmic are inverse of exponential functions. Given the following functions;
g(x)=log2x and g(x)=log10x
The point where the graphs intersect is the point where g(x) = g(x)
Equate
log2x = log10x
2x = 10x
The value of x that made them equal is 0
Determine the value of g(x)
g(0) = log2(0)
g(0) = ∞
Hence the point where graph of f and g intersect is (0, ∞)
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A farmer paid $500 per month for deliveries over 10 months. For the other 2 months of the year, he paid $600 per
month. Which numerical expression can be used to find the total the farmer paid for deliveries this year?
O 500(10) + 600(2)
O 500(12) + 600
O 500(12)
O 500(2) + 600(10)
Answer:
500(10) + 600(2)
Step-by-step explanation:
Answer:
500(10) + 600(2)
Step-by-step explanatio:
500*10+600*2
5,000+1,200
6,200
Which ordered pair is a solution to the system of inequalities ? (1, –5) (3, 0) (–1, –2) (1, 5)
Point (3,0) is system solution.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
We have
y> -2
x + y <4
For (1,-5):First inequation:
-5> -2 (incorrect)
Second inequality:
1-5 <4 (correct)
For (3,0):First inequation:
0> -2 (correct)
Second inequality:
0+3 <4 (correct)
For (-1,-2):First inequation:
-2> -2 (incorrect)
Second inequality:
-1-2 <4 (correct)
For (1,5):First inequation:
5> -2 (correct)
Second inequality:
1+5 <4 (incorrect)
Hence, Point (3,0) is system solution.
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Year(x) 1971
Percent(y) 42.4
1978
37.4
1980
37.1
1984
34.1
1989
32.1
1993
28.8
1997
25.7
2000
25.5
Answer:
25.5
Step-by-step explanation:
I did the same assignment
wo containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 12 feet and a height of 13 feet. Container B has a radius of 8 feet and a height of 16 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full
The percentage of Container A that is full after the pumping is complete is; 45.3%
How to find the Volume of a Cylinder?
The formula for volume of a cylinder is;
V = πr²h
Volume of Cylinder A is;
V = π × 12² × 13
V = 1872π
Volume of Cylinder B is;
V = π × 8² × 16
V = 1024π
After pumping, volume in container A will be;
V_new = 1872π - 1024π
V_new = 848π
Percentage is;
848π/1872π * 100% = 45.3%
Thus, 45.3% of Container A is full after the pumping is complete.
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hellppppppppppppppppppp
Answer:
410.1 m
Step-by-step explanation:
In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.
Tan = Opposite/Adjacent
__
setuptan(C) = BA/BC
tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values
solutionMultiplying both sides of the equation by (608 m) gives ...
(608 m)tan(34°) = BA
BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths
_____
Additional comment
Other relations in the right triangle are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
These relations are collected in the mnemonic SOH CAH TOA.
Answers for this worksheet???
Answer:
1) C
2) D
3) 26
4) A
5) 68
6) Triangle MNL
Explanation:
1) C does not equal to 180. If you add up all the numbers it adds up to 169. Any triangle; interior adds up to 180.
2) When you minus 180 - 29.1 - 80 ; it equals to 70.9.
3) 180 - 32 - 122 = 26. You could also add 32 + 122; getting 154. Then 180 - 154.
4) We see a square box, meaning it's a right triangle. 180 - 90 - 42.7 = 47.3.
5) You can draw a picture to help you and see it visualize it. But it's the same process : 180 - 97 - 15 = 68
6) The whole triangle was 180. Equaling the whole as 108 was wrong.
- Hope this helps!
Given that XW bisects AXZ, what theorem or theorems could be used to justify that W is equidistant from the two outside rays?
Answer:
HA congruence postulate
Step-by-step explanation:
In order to show W is equidistant from A and Z, we must demonstrate that WA ≅ WZ. The HA congruence postulate can be used for that purpose.
__
proofWX bisects AXZ, so ∠WXA≅∠WXZ by the definition of an angle bisector. By the reflexive property of congruence, WX≅WX. The angles at A and Z are given as right angles.
So, we have triangles WAX and WZX that are right triangles with congruent hypotenuse and corresponding angle. These are the preconditions for the application of the HA congruence postulate. That postulate says the triangles WAX and WZX are congruent, so ...
WA ≅ WZ by CPCTC. Hence W is equidistant from the outside rays.
__
Additional comment
The definition of distance from a point to a line is the perpendicular distance from the point to the line. In this geometry, the perpendicular distances from W to the outside rays are the lengths of segments WA and WZ. That is why we need to show those lengths are the same.
1. The letters of the word MASK are placed in a box. What is the probability that you get M when you pick from the box without looking? 2. Eunice and the other 5 applicants apply for a job as a nurse. What is the probability that Eunice gets hired? 3. Four boys and six girls are joining the final Math Quiz. What is the probability that one of the girls wins?
Answer:
1. 25%
2 and 3: See below.
Step-by-step explanation:
1. There are 4 letters in the box, all different. The odds of randomly picking 1 letter is 1/4, or 25% That is true for any of the letters.
Questions 2 and 3 technically cannot be answered. In both cases, the selection process involves more than random chance. The selection of a nurse depends on qualifications such as training and experience. Winning the math quiz depends on knowledge and practice. Neither question is a random selection.
If the questions were random, the answers would be:
2. 1/5 or 20% that Eunice gets picked, and
2. 6/10 or 60% that a girl wins
I need help please help me please
Answer:
1. < 3
2. < 8
3. < 5
4. < 4
5. < 6
6. < 7
7. < 2
8. < 1
9. < 8
< = Angle
Evaluate the following numerical expressions.
a. 2 × 5 + 3 × 2 + 4
b. 2 × (5 + 3 × 2 + 4)
30
c. 2 × 5 + 3 × (2 + 4)
d. 2 × (5 + 3) × 2 + 4
e. (2 × 5) + (3 × 2) + 4
f. 2 × (5 + 3) × (2 + 4)
Can the parentheses in any of these expressions be removed without changing the value of the expression? Explain why or why not.
Answer:
Step-by-step explanation:
A. 20
B. 20 (what is the 30 thing)
C. 28
D. 36
E. 20
F. 96
Given the function h of x equals 3 times the cube root of x minus 5 end root plus 6, what is the x-intercept of the function?
6
5
–3
–5
The x-intercept of the function [tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex] is -3
How to determine the x-intercept?The function is given as:
[tex]h(x) = 3 * \sqrt[3]{x - 5} +6[/tex]
The x-intercept is when h(x) =0.
So, we have:
[tex]3 * \sqrt[3]{x - 5} +6 = 0[/tex]
Subtract 6 from both sides
[tex]3 * \sqrt[3]{x - 5} = -6[/tex]
Divide both sides by 3
[tex]\sqrt[3]{x - 5} = -2[/tex]
Take the cube of both sides
x - 5 = -8
Add 5 to both sides
x = -3
Hence, the x-intercept of the function is -3
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Answer:
Step-by-step explanation:
^^
URGENT PLEASE HELP. CORRECT ANSWERS GETS BRAINLIST
Usain Bolt ran the 100m final at the 2012 Olympic Games in 9,63 seconds. Convert the time he ran the race to minutes. Write your answer in scientific notation.
Answer: 1.601 × 10^-1
Step-by-step explanation: 1 minute = 60 seconds or 1 second = 1/60 minutes
9.63 seconds = 9.63/60 minutes
9.63/60 = 963/6x1000 = 321/2x1000
=160.1/1000=1.601/10 = 1.601 x 10^-1 minutes :)
find the values of a,b and c
Answer:
[tex]a= -\dfrac 23\\\\ b = -8\\\\ c = -47[/tex]
Step-by-step explanation:
[tex]b(x) = -\dfrac 23(x+6)^2 -23\\\\\\~~~~~~=-\dfrac 23(x^2 +2\cdot 6 \cdot x +6^2) -23\\\\\\~~~~~~=-\dfrac 23(x^2 +12x +36) -23\\\\\\~~~~~~=-\dfrac 23 x^2 - \dfrac{24}3 x - \dfrac{72}{3}-23\\\\\\~~~~~~=-\dfrac 23 x^2 -8x-24-23\\\\\\~~~~~~=-\dfrac 23x^2 -8x -47\\\\\text{By comparing}~ -\dfrac 23x^2 -8x -47~\text{with the standard form, }~ ax^2 +bx +c,\\\\a= -\dfrac 23,~ b = -8~ \text{and}~ c = -47[/tex]