Answer:
l(x,y) = (-4y, -4x - 3)Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
A dilation by a factor of 4 with the origin as the center of dilation
This results in both coordinates multiplied by 4(x, y) → (4x, 4y)A reflection across the y-axis
This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)A 90° counterclockwise rotation about the origin
This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)A translation 3 units down
This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)The final function is:
l(x) = (-4y, -4x - 3)Answer:
l(x) = (-4y, -4x - 3)
I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(
Given a center of (3,-5) and a radius of 4, write an equation for the circle.
Answer:
(x-3)²+(y+5)²=16
Step-by-step explanation:
[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]
The equation above is an equation of circle with a centre at (h,k) and has radius = r
Substitute h = 3, k = -5 and r = 4 in the equation.
[tex] \large{ {(x - 3)}^{2} + {(y - ( - 5))}^{2} = {4}^{2} } \\ \large{ {(x - 3)}^{2} + {(y + 5)}^{2} = 16}[/tex]
Write the exponential equation
A. y = 2.5(2)^x
B. y = 10(1/2)^x
C. y = 2(2.5) ^x
D. y = 1/2(10)^x
Answer:
A. y = 2.5(2)^x
Step-by-step explanation:
Given that when
x = 1, f(x) = 5
x = 2, f(x) = 10
x = 3, f(x) = 20
x = 4, f(x) = 40
x = 5, f(x) = 80
x = 6, f(x) = 160
Considering all the options
y = 2.5(2)^x
Substitute x = 1
y = 2.5(2)^1 = 2.5 *2 = 5
Substitute x = 2
y = 2.5(2)^2 = 2.5 * 4 = 10
Substitute x = 3
y = 2.5(2)^3 = 2.5 * 8 = 20
Substitute x = 6
y = 2.5 (2)^6
= 2.5 * 64
= 160
Since the function is true for all the values of x substituted, then the answer is A. y = 2.5(2)^x
pleas help. 10 pointssss
Answer:
6
Step-by-step explanation:
Find the product of (x + 3)(x − 3).
x2 − 6x + 9
x2 + 6x + 9
x2 + 9
x2 − 9
Step-by-step explanation:
[tex](x + 3)(x - 3) \\ = {x}^{2} - 3x + 3x - 9 \\ = {x}^{2} - 9[/tex]
#CMIIWIn Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?
Answer:
Brown eyes
Step-by-step explanation:
10/28 Fraction form
0.3571 Decimal form
35.71 % Percentage form
10 is the greatest number out of all the other colors
Because the dividend is the same for all three expressions the larger the Divisor the__the quotient
Worth 100 points false info or just to take the points you will be reported
Justin buys ice cream and apples at the store.
He pays a total of $25.24.
He pays a total of $5.14 for the ice cream.
He buys 5 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of apples costs.
Answer:
$4.02
Step-by-step explanation:
Subtract $5.14 from $25.24.
$25.24-$5.14=20.10
Divide 5 and $20.10
20.10/5= 4.02
so each bag of apples costs $4.02
someone please help me! show work if you can please!
Answer:
a. [tex]12\sqrt{3}[/tex]
b. [tex]144\sqrt{3}[/tex]
c. [tex]24+24\sqrt{3}[/tex]
Step-by-step explanation:
This rectangle is made up of two 30-60-90 right triangles, which have special properties that are worth memorizing for the future. Please see the attached picture.
Using this information, we can deduce that the top and bottom sides are equal to [tex]12\sqrt{3}[/tex].
From the properties of a rectangle we know that the right side is 12.
The diagonal is equal to [tex]12*2=24[/tex].
We can find the area by doing [tex]{12*12\sqrt{3}=144\sqrt{3}[/tex],
And the perimeter is equal to [tex]12+12+12\sqrt{3}+12\sqrt{3} =24+24\sqrt{3}[/tex]
PLEASE HELP ASAP!!! URGENT
Verify the identity. Sinx/1-cosx = cscx+cotx
Please use the answers shown in the image !! Thank you !!
Answer:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex]
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex]
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex]
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex]
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex]
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex]
Step-by-step explanation:
Now we proceed to show all steps needed to demonstrate the trigonometric identity:
1) [tex]\frac{\sin x}{1-\cos x} = \csc x + \cot x[/tex] Given.
2) [tex]\frac{\sin x}{1-\cos x} = \frac{1}{\sin x} + \frac{\cos x}{\sin x}[/tex] Identities for cosecant and cotangent functions.
3) [tex]\frac{\sin x}{1-\cos x} = \frac{1+\cos x}{\sin x}[/tex] [tex]\frac{a}{b}+\frac{c}{b} = \frac{a+c}{b}[/tex]
4) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x \cdot (1+\cos x)}{\sin^{2}x}[/tex] Existence of additive inverse/Modulative property.
5) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{1-\cos^{2}x}[/tex] Fundamental trigonometric identity.
6) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x\cdot (1+\cos x)}{(1+\cos x)\cdot (1-\cos x)}[/tex] Factorization.
7) [tex]\frac{\sin x}{1-\cos x} = \frac{\sin x}{1-\cos x}[/tex] Existence of additive inverse/Modulative property/Result.
Problem is in picture
Answer:
< ABC+<QRS=180
m<QRS=180-140=40°
Answer:
Solution given:
<ABC+<QRS=180° {supplementary]
m<QRS=180°-140°=40° is your answer
Pls help thank you :)
The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.
Select the answers from the drop-down menus to complete the statements.
The mean apples picked
increases or decreases or does not change?
because of the outlier.
The median apples picked
increases or decreases or does not change?
because of the outlier.
The range
increases or decreases or does not change?
because of the outlier.
Answer:
Decreases, decreases, increases
Just took the test
Step-by-step explanation:
Find the measure of _PUQ.
49
52
369
U
41
43
53
499
Answer:
43 is the answer ok I hope you helped
Help please question in the picture
Answer:
81 m²
Step-by-step explanation:
The area of the figure = area of the rectangle + area of the triangle
= Length*Width + ½*base*height
Length = 10 m
Width = 6 m
base = 6 m
height = 7 m
Thus:
Area = 10*6 + ½*6*7
Area = 60 + 21 = 81 m²
Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2
Keith’s work is shown below. What mistake did Keith make?
-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m
Select all the expressions that contain the coefficient 3.
Answer:
b/c
Step-by-step explanation:
What is the volume of the figure?
Answer:
12.57
Step-by-step explanation:
same as last time you know
"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"
Answer:
B
Step-by-step explanation:
Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
01:11:1
n
The population, P, of six towns with time t in years are given by the following exponential equations:
(0) P - 1000(1.08)'
(ii) P-600(1.12)
(iii) P - 2500(0.9)'
(iv) P - 1200(1.185)
(V) P - 800(0.78)
(vi) 2000(0.99)
Which towns are decreasing in size?
i, ii, and iv
c. i, ii, and iii
b. iii, v, and vi
d. vi, i, and ii
a.
Please select the best answer from the choices provided
А
B
е с
D
9514 1404 393
Answer:
b. iii, v, and vi
Step-by-step explanation:
We assume your equations are intended to be P=(something) where the something has a final factor of ( )^t.
The final factor is called the "growth factor". Subtracting 1 from it gives the "growth rate". When that value is negative, the population is declining.
Equations (iii), (v), and (vi) have growth rates that are negative, so those represent towns decreasing in size.
10 points
What is the total surface area of the
rectangular prism shown in square inches?
Answer:
D. 286.5 in.^2
Step-by-step explanation:
3 X 7.5+ 3 X 11.5 + 3 X 7.5+ 11.5 X 3 + 7.5 X 11.5 + 7.5 X 11.5=
22.5 + 34.5 + 22.5 + 34.5 + 86.25 + 86.25=
total surface area= 286.5 in.^2
The Wanting Recognition (WR) Scale provides a quantitative measure of a person's level of need for approval and sensitivity to social situations. A random sample of 100 convicted drug dealers was scoredf on the WR scale and produced a mean WR score of 39 and a standard deviation of 6. (a) Use this information, find an interval estimate of the mean WR score for all convicted drug dealers with 99% confidence level.
Answer:
99% of the confidence level of the mean WR score for all convicted drug dealers
(37.4544, 40.5456)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 100
Given that the mean of the sample(x⁻) = 39
Given a standard deviation of the sample (σ) = 6
Level of significance = 0.01 or 99%
Step(ii):-
99% of the confidence level of the mean WR score for all convicted drug dealers
[tex](x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} })[/tex]
[tex](39 -2.576 \frac{6}{\sqrt{100} } ,39 + 2.576 \frac{6}{\sqrt{100} })[/tex]
(39 - 1.5456 , 39+1.5456)
(37.4544, 40.5456)
Final answer:-
99% of the confidence level of the mean WR score for all convicted drug dealers
(37.4544, 40.5456)
Brainliest for correct answer
Answer:
A
Step-by-step explanation:
HELP PLS WHOEVER ANSWERS ILL GIVE BRAINLIEST
Answer:
A: 30
B: y=30x+14
Step-by-step explanation:
A
The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).
Let's use the points (0,14) and (2.2,80):
slope = (y2-y1)/(x2-x1)
= (80-14)/(2.2-0)
= 66/2.2
= 30
B
The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:
y=mx+c
14=(30)(0)+c
14=0+c
c=14
Therefore our equation is y=30x+14
Factor the expression -8x 2+ 22x - 15
A door to a playhouse is 50 inches tall. Which of the following is another measure equal to the height?
A- 4ft 2in,
B-4ft 1in.
C-4ft 1/2in
D-5ft
Answer:
4 ft 2 in.
Step-by-step explanation:
A door to a playhouse is 50 inches tall
we know that
1 in---------------> is 0.0833333 ft
so
50 in-------------> 50*0.0833333---------> 4.167 ft
4.167 ft----------> [4 ft+0.167 ft]
remember that
1 in---------------> is 0.0833333 ft
X in----------------> 0.167 ft
X=0.167/0.0833333----------> X=2 in
4.167 ft----------> [4 ft+0.167 ft]--------> [4 ft+2 in]
What is the volume of this rectangular prism?
1/2cm 4 cm 3/2cm
Answer:
21cm3
Step-by-step explanation:
Write 5-7 well-written sentences. REREAD FOR ERRORS AND FIX THEM!! If you could spend the perfect day, what would you do? Where would you be? Who would be with you? What do you see? Eat? Play? Use your senses to describe it? What do you see? Hear? Smell? Taste? Touch?
Answer:
If i could spend the perfect day I would go to the park and take a jog. I would also go to Mc donalds and get a vanilla flavored ice cream! I love the taste of vanilla, Next, i will watch my favorite movie on my phone. Then, i will go to the zoo with my friends and see my favorite animals! Lastly,i will go home and take a nap.Step-by-step explanation:
okay
the shorter leg of a right triangle is 8 inches shorter ybsn the longer leg. the hypotenuse is 8 inches longer thsn the longer leg
Answer:
Short leg = 24inches
Long leg = 32inches
Hypotenuse = 40inches
Step-by-step explanation:
Given:
shorter leg is 8inches shorter than the longer leghypotenuse is 8inches longer than the longer leglonger leg = x inchesPythagorean Theorem:
a²+b²=c² → (x-8)²+ x² = (x+8)²
Solving for both sides:
x² - 16x+ 64 + x² = x²+ 16x + 64
More Painful Solving:
x² - 32x = 0
x(x-32) = 0
x=0 or 32
Can't use the 0 so we trash it!
x=32
add 8 to get the hypotenuse and subtract 8 to get the short leg
Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?
Given:
ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).
To find:
The x-coordinate of point D.
Solution:
Let the point D be (x,y).
We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
In parallelogram ABCD, AC and BD are two diagonals.
Midpoint of AC = Midpoint of BD
[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]
[tex]1=1+x[/tex]
[tex]1-1=x[/tex]
[tex]0=x[/tex]
Similarly,
[tex]-1=\dfrac{4+y}{2}[/tex]
[tex]-2=4+y[/tex]
[tex]-2-4=y[/tex]
[tex]-6=y[/tex]
The coordinates of point D are (0,-6).
Therefore, the x-coordinate of point D is 0.
The length of a rectangle is 4 inches longer than its width. The area of the rectangle is 32 inches square. What is the width ? The width is ___ inches
Answer:
I hope this helps dear
Step-by-step explanation:
P = 2(L + W) = 32 in
L = W + 4
2[(W + 4) + W] = 32 in ⇒
W = 6 in
L = W + 4 = (6 + 4) in = 10 in
A = LW = (10)(6) in2 = 60 in2