Answer:
Step-by-step explanation:
When you shift up or down, the function gets added to or subtracted from the expression on the right of the y value. Put in simpler language, for this question, the equation becomes.
g(x) = f(x) + 13
And the solution is
g(x) = ln(x) - 1 + 13
g(x) = ln(x) + 12
PLEASE PLEASE HELP ME OUT!! CURRENTLY REALLY STRUGGLING AND TRYING TO PASS THIS SCHOOL YEAR, WILL GIVE BRAINLIEST!
Answer:
3. X = (-4, -5), Y = (0, -3), Z = (-1, -7)
4. Refer back to my explanation.
5. a. Refer back to my explanation.
5. b. 28 units^2; please solve for the other rectangle.
5. c. No, because translation means moving the figure, not changing the shape or size.
Step-by-step explanation:
Warning in advance: the picture is very blurry when looking at the numbers on the graph so I have tried my best to decipher them.
3.
First, write down the ordered pairs for X, Y, and Z.
X = (-1, 4)
Y = (3, 6)
Z = (2, 2)
Note that horizontal movement (moving left or right) affects only the x coordinate. If you are moving to the left, you will subtract from the x coordinate. If you are moving to the right, you will add to the x coordinate.
Vertical movement (moving up or down) affects only the y coordinate. If you are moving up, you will add to the y coordinate. If you are moving down, you will subtract from the y coordinate.
Apply this concept to the ordered pairs:
Moving left = subtraction from x coordinate
Moving down = subtraction from y coordinate
X2 = (-1 - 3, 4 - 9) = (-4, -5)
Y2 = (3 - 3, 6 - 9) = (0, -3)
Z2 = (2 - 3, 2 - 9) = (-1, -7)
Your new image should have X at (-4, -5), Y at (0, -3), and Z at (-1, -7).
4.
After reading the concepts and seeing my explanation and demonstration, please try number 4 on your own. If you have any questions, feel free to ask me for help.
5. a.
The same goes for this problem since it is the same concept.
5. b.
To find the area of a rectangle, use the equation length × width, also known as l × w. In order to figure out what the length and width are equal to, count the units on the graph. JK is 7 units wide. Since this is a rectangle, ML will be the same width, 7 units. KL is 4 units long so JM will also be 4 units long. Now that we know the number of units, we can plug the numbers into the formula:
4 units × 7 units = 28 units^2
The question asks to solve for the area of each rectangle so please try the same for the rectangle you create from problem 5. a.
5. c.
The area of a figure will not change after translation because translation does not affect the figure's size or shape. If the figure is only moved, then no part of its area is changed so no, the area of a figure will not change.
2) Ms. Smith, a math teacher, recently gave a mathematics quiz in her class. The ten quiz scores were: 89 87 93 90 12 91 88 87 83 91
a) Based on the test scores above, would you say the class did well? Why or why not?
b) If you were Ms. Smith, which average would you use to describe the data: mean, median, or mode?
Answer:
Step-by-step explanation:
The average is 81 a low B, but if you throw out the low score it rises to 88.8, a high B.
I would use the median 88, 89 since it is higher and is a more accurate representation of the majority of the class
A) Yes, we can say that the class did well.
B)I would choose median to describe the data.
How to find mean, median and mode?
Mean simply means average of the data given, Here,
[tex]Mean=\dfrac{89+87+93+90+12+91+88+87+83+91}{10} =80.9[/tex]
Median is the value of data set (when arranged in ascending order) that divides it into two sets and is often called the middle number. When no. pf values in data set is even, the median is N/2.
Here,
[tex]Median=\dfrac{10}{2} ^{th}=5^{th} term=88[/tex] (data taken in ascending order)
Mode is the value which has largest frequency among the all the other values.
Here, Mode is 87 and 91.
A) The class did well if we consider the data from point of view of its median and mode, but the average value is a bit low as we have a drastically low value that is 12.
B) I would describe the data by median because the class mean is very low and as there are 2 mode values, it is not the best representation of the score. The median of the set is a high and singleton value, therefore the most accurate measure of central tendency would be median.
To know more about mean, median, mode refer:https://brainly.com/question/25750771
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Find the conjugate and product of
2-i5
Answer: [tex]2+i5,\ 29[/tex]
Step-by-step explanation:
Given
Complex number is [tex]2-i5[/tex]
Its conjugate is obtained by changing the sign of the original number i.e. [tex]2+i5[/tex]
The product of the two numbers is
[tex]\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29[/tex]
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.
This question is incomplete, the complete question;
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.
The 95% Confidence Interval is ($, $ )
Answer:
at 95%, confidence interval is ( $43312, $54288 )
Step-by-step explanation:
Given the data in the question;
sample size n = 36
mean x' = 48,800
standard deviation σ = 16,800
at 95% confidence level;
∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05 / 2 = 0.025
z critical value, [tex]Z_{\alpha/2[/tex] = 1.96
now, confidence interval for population mean is given by the formula
x' ± [tex]Z_{\alpha/2[/tex]( σ/√n )
so we substitute
⇒ 48800 ± 1.96( 16800/√36 )
⇒ 48800 ± 1.96( 2800 )
⇒ 48800 ± 5488
⇒ 48800 - 5488, 48800 + 5488
⇒ ( 43312, 54288 )
Therefore, at 95%, confidence interval is ( $43312, $54288 )
Which system of equations has infinitely many solutions?
Answer:
Step-by-step explanation:
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a lorry is travelling at 13.5m/s along a stretch of road
Answer:
Proved
Step-by-step explanation:
This question is incomplete. The complete details are:
[tex]v = 13.5m/s[/tex] --- speed of the lorry
[tex]v_2 =50km/h[/tex] --- speed limit on the road
Required
Prove that the lorry is within the speed limit
To do this, we simply convert the speed of the lorry to km/h.
So, we have:
[tex]v = 13.5m/s[/tex]
[tex]1m = 0.001km[/tex]
and
[tex]1s = \frac{1}{3600}h[/tex]
So, the expression becomes:
[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]
[tex]v = \frac{0.0135km}{1/3600h}[/tex]
Rewrite as:
[tex]v = 0.0135km/h * 3600[/tex]
[tex]v = 48.6km/h[/tex]
48.6km/h is less than 50km/h (the speed limit).
Hence, the lorry is within the speed limit.
which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green apples?
Answer:
8:15
or 8/15
Step-by-step explanation:
8 out of 15
Answer:
8:15
Step-by-step explanation:
There are 8 red apples and total of 15 apples
what is the degree of the polynomial 9m4−4m3+8m−5
Answer:
4
Step-by-step explanation:
The highest/exponent of the variable is the degree of the polynomial.
[tex]9m^{4} - 4m^{3} + 8m - 5[/tex]
Here, the highest degree of the variable m is 4
So, degree of the polynomial = 4
Area of Composed figures
PLEASEEE RN
Answer:
33 ft²
Step-by-step explanation:
The area of the outdoor carpet = area of trapezoid + area of rectangle + area of triangle
✔️Area of trapezoid = ½(a + b)h
Where,
a = 6 ft
b = 3 ft
h = 11 - 9 = 2 ft
Area of trapezoid = ½(6 + 3)*2 = 9 ft²
✔️Area of rectangle = L*W = 7 *3 = 21 ft²
✔️Area of triangle = ½bh
b = 2 ft
h = 3 ft
Area = ½*2*3 = 3 ft²
✅Area of the outdoor carpet = 9 + 21 + 3 = 33 ft²
multiply the following
1)34/7×3
2)3/8×7
3)3/4×7
Answer:
1) 102/21
2) 21/51
3) 21/24
Step-by-step explanation:
math work geometry help please
Answer:
(C)
Step-by-step explanation:
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[tex]65 - 2 \times b = 55[/tex]
Answer:
b = 5
Step-by-step explanation:
- add -65 at the two members:
65-65 -2b = 55-65
-2b = -10
- divide the two members for -2
b = 5
CAN SOMEONE PLEASE ANSWER THIS QUICKLY I DONT GOT TIME
Answer:
1: 3/32. 2: 3/8. 3: 1/20
my dear
Find the zeros of the polynomial m2 - 11m + 18.
Answer:
Step-by-step explanation:
The zeroes are the values of such that
m² - 11m + 18 = 0
Quadratic formula:
m = [11 ± √(11² - 4∘1∘18)]/[2∘1]
= [11 ± √49]/2
= [11 ± 7]/2
= 9, 2
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To honor veterans, Carl has planned a Walking for Vets Program. He has mapped out a 1000 mile path and plans to walk 12 hours per day. If Carl exercises regularly, which is the best approximation of how long the walk will take?
Answer:
20 days
Step-by-step explanation:
Solve the following
NO BOTS OR PEOPLE WANTING POINTS
Answer:
-1
Step-by-step explanation:
Pls help me on this question!!
Answer:
D
Step-by-step explanation:
7/10 + 3/10 = 1
Answer:
D
Step-by-step explanation:
Can someone please help me find the area of the figure.
Answer:
area = 41 ft²
Step-by-step explanation:
area = (3x3) + (4x8) = 41 ft²
PLEASE HELP ME ALSO SOLVE THIS
Answer:
hiii
Step-by-step explanation:
hiii
plz help im timed!!!
I need assistance on what to do
Answer:
156.9
Step-by-step explanation:
∠x=4(∠y)
Angles in a triangle add to 180:
∠x+∠y+90=180
4(∠y)+∠y=90
5(∠y)=90
∠y=18
The left side of the parallelogram is opposite ∠y, which we know, and we know the adjacent (marked as 57) so we can use tan:
tanA=opposite/adjacent
tan18=(side)/57
side=18.5204226853
Similarly, we can find the base of the shape using cos:
cosA=adjacent/hypotenuse
cos18=57/(base)
base=59.9333467816
Perimeter = 2(side)+2(base)
=2(18.5204226853)+2(59.9333467816)
=37.0408453706+119.866693563
=156.907538934
≈156.9
find a20 of a geometric sequence of the first few terms of the sequence given by -1/2;1/4;-1/8;1/16
Answer:
[tex]a_{20} = 1/1048576[/tex]
Step-by-step explanation:
Given
[tex]Sequence: -1/2;1/4;-1/8;1/16[/tex]
Required
Determine [tex]a_{20[/tex]
Since it is a geometric sequence, first we need to calculate the common ratio (r)
[tex]r = \frac{a_2}{a_1}[/tex]
From the sequence:
[tex]a_2 = 1/4[/tex]
[tex]a_1 = -1/2[/tex]
[tex]a_1[/tex] is the same as [tex]a[/tex]
So:
[tex]r = \frac{a_2}{a_1}[/tex]
[tex]r = \frac{1/4}{-1/2}[/tex]
[tex]r = -1/2[/tex]
[tex]a_{20[/tex] is then calculated as:
[tex]a_n = ar^{n-1}[/tex]
Where
[tex]n = 20[/tex]
[tex]a_{20} = ar^{20-1}[/tex]
[tex]a_{20} = ar^{19}[/tex]
[tex]a_{20} = (-1/2) * (-1/2)^{19}[/tex]
Apply law of indices
[tex]a_{20} = (-1/2)^{1+19}[/tex]
[tex]a_{20} = (-1/2)^{20}[/tex]
Evaluate the exponent
[tex]a_{20} = 1/1048576[/tex]
A population of 65 foxes in a wildlife preserve triples in size every 12 years. The function y = 65.3*, where x is the number of 12-year periods, models the population growth. How
many foxes will there be after 36 years?
After 36 years there will be foxes. (Type a whole number.)
Answer:
585 foxes
Step-by-step explanation:
36/12 = 3
That means there are 3 fifteen-year periods in 36 years.
So after 3 fifteen-year periods, there will be 65 × 3³ foxes
That is 75(27) foxes
585 foxes
The length of a rectangle is 5 less than twice the width, and the area of the rectangle is 52 ft^2. Find the dimensions of the rectangle.
9514 1404 393
Answer:
6.5 ft wide by 8 ft long
Step-by-step explanation:
We can let x represent the width of the rectangle. Then the length is ...
L = 2x -5
and the area is ...
A = LW = (2x -5)(x) = 52
2x² -5x -52 = 0 . . . . . put in standard form
(2x -13)(x +4) = 0 . . . . factor
x = 6.5, -4 . . . . . . . . . . values that make the factors zero
The length is then ...
L = A/W = 52/6.5 = 8
or
L = 2W -5 = 2(6.5) -5 = 13 -5 = 8
The rectangle is 6.5 feet wide and 8 feet long.
Which equation best matches the graph shown to the right?
Answer:
y=1x+20
Step-by-step explanation:
character requirement
PLEASE HELP! 50 POINTS PLUS BRAINLIEST TO THE MOST EXPLAINED ANSWER (PLEASE SHOW THE PROCESS)
Chauncey is building a storage bench for his son’s playroom. The storage bench will fit into the corner and against two walls to form a triangle. Chauncey wants to buy a triangular shaped cover for the bench.
Formula for Area of Triangle:
A = ½ x b x h
(the photo is below)
If the base of the storage bench is 2 ½ ft. and the height along one side of the wall is 4 ½ ft. What is the area of the triangular cover?
Answer:
2.5 times 4.5 times .5 = 5.625 ft squared
Step-by-step explanation:
Lets look at our Formula
.5 times base of triangle (b) times height of triangle (h)
Based on the photo, the height is 4.5 feet and the base is 2.5 feet.
4.5 times 2.5 times .5 (the 1/2 in the formula) = 5.625 ft squared.
Remember that it is 1/2 times the base and height, b/c triangle is half of square. Ft squared because ft times ft equals ft squared
4.
A machine makes a staple from 20mm of wire. How many
staples will it make from 50cm of wire?
Answer:
25
Step-by-step explanation:
(50 cm (centimeters))/(20 mm (millimeters))
Result:
25 m/m (meters per meter)
25
2500%
Unit conversions:
15.53 mi/km (miles per kilometer)
25 mi/mi (miles per mile)
25 squares
Interpretation:
length ratio
13/5 as mixed number add and subtract
Answer:
2 and 3/5
Step-by-step explanation:
5 can go into 13 twice and u have 3 left over which equals 2 and 3/5
hope this helps
Jessica is having dinner at a restaurant with several friends. She receives her bill which is
$22. She has a coupon for a 5% discount. After the discount is applied there is a 9% sales tax.
What is Jessica's total bill?
$20
$22
$20.78
$22.78
Answer:
22.78
Step-by-step explanation:
22 x 0.05 = 1.1
22 - 1.1 = 20.9
20.9 x 0.09 = 1.881
20.9 + 1.881 = 22.781
What is a song or poem describing the four operations of integers?
Step-by-step explanation:
We have four fundamental operations on integers. They are addition, subtraction, multiplication, and division.
