Step-by-step explanation:
Howdy there :)
To describe the transformation of the parent logarithmic function, you just need to follow these rules
1. A + on the outside of the parentheses will mean a vertical shift upwards. As such, the transformation is moved 5 units up. If it was -, it would move 5 units down.
2. The inside of the parentheses will result in a horizontal shift right 4 units. The rule to remember is that these kinds of functions follow x(a - b) rules, meaning that when the 4 is subtracted, we are really talking about a positive four, unlike in standard arithmetic. Vice versa, a + 4 will mean a -4 four, since a - -4 is the same as a + 4. As such, we will move in the positive direction (right) on the y axis.
3. Since x is now -2x, we are reflecting about the y axis, meaning the function will switch from left to right or right to left.
4. The 2 in front of it represents a vertical dilation by a factor of 2. This is because our constant, 2, is greater than 1. If the number were in between 0 and 1, it would represent a vertical compression by the constant number.
PLEASE HELP!!!!! IMA DESPRATE!!!!!! ach side of a telescope lens can be described by the equation f(x) = x2/58, where x is the width of the lens and f(x) is half its thickness.
If the lens is 2.9 inches wide, what is the total thickness (rounded to the nearest hundredth)?
Since the lens is 2.9 inches wide, the total thickness of the lens is 0.29 in
To answer the question, we need to know what equations are.
What are equations?Equations are mathematical expressions which show the relationship between two variables.
The total thickness of the lensSince f(x) = x²/58 describes half the thickness of the lens where x = width of lens.
So, the total thickness of the lens is y = 2f(x)
= 2 × x²/58
= x²/29
Since x = 2.9 in, substituting x into the equation, y, we have
y = x²/29
y = (2.9)²/2
y = 8.41/29
y 0.29 in
So, the total thickness of the lens is 0.29 in
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Find the mean of the data. 20, 28, 30, 38, 39, 40, 43
Answer:
mean = 34
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{20+28+30+38+39+40+43}{7}[/tex] = [tex]\frac{238}{7}[/tex] = 34
Answer: 34
Step-by-step explanation:
Mean is the same as average, and to find average you add all the numbers up and divide by the amount of numbers present. So, if you add all of them up, you get 238. Then, you'll divide by 7, since there are 7 numbers. And that will get you 34.
Wite a differential equation in which y^2= 4(t + 1) is a solution.
What is the volume, in cubic feet, of a cylinder with a height of 20 feet and a base radius of 4 feet, to the nearest tenths place?
Answer:
about 1,005.3 cubic feet
Step-by-step explanation:
V = π(4^2)(20) = π(16)(20) = 320π = 1,005.3 cubic feet
PLEASEEEEE HURRRYYYY
Based on the given inequality statement, which statement correctly describes where the values are located on a number line relative
to each other?
-5 < 2
O -5 is located to the right of 2.
O 2 is located to the left of -5.
• -5 is located to the left of 2.
O 2 is located at the same position as -5.
Hi!~
Answer:
C) -5 is located to the LEFT of 2
Step-by-step explanation:
On a number line, of course the negatives (-) are to the left while the positives (+) are to the right, so since -5 is negative, and 2 is positive, -5 is located to the LEFT of 2.
Hope this helps! :)
Can someone help me please?
Answer:
128 Layers
Step-by-step explanation:
1*2*2*2*2*2*2*2 = 128
Suzanne buys a pair of shoes. A 9% sales tax is added to the purchase.
Which function shows the total cost for any pair of shoes with a price of x?
f(x) = 0.09x – 10
f(x) = 1.09x
f(x) = 0.9x
f(x) = 1.9x
The function which represent the total cost of pair of shoes bought by Suzanne including the 9% sales tax is,
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Suzanne buys a pair of shoes. A 9% sales tax is added to the purchase. Let any pair of shoes has a price of x when sales tax is not added.
The function which represent the total cost including the sales tax is,
[tex]f(x)=x+\dfrac{9}{100}x\\f(x)=x+0.09}x\\f(x)=1.09}x[/tex]
Hence, the function which represent the total cost of pair of shoes bought by Suzanne including the 9% sales tax is,
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A fair coin is flipped two times. Which diagram shows all of the possible outcomes?
Answer:
A
Step-by-step explanation:
It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that
hope this helps :)
A number between 1 and O is multiplied by 1,000.
The answer has to be:
Answer:
1,000
Step-by-step explanation:
uhhhh haha
Hello, this is the question:
Look at the table below.
X y
1 5
2 7
3 9
4 11
5 13
Which equation represents the relationship of x to y?
A y = 3x + 1
B y = 2x + 3
C y = 3x
D Y =3x-1
Answer:
y = 2x + 3
Step-by-step explanation:
x = 1 , y = 2(1) + 3 = 5
x = 2, y = 2(2) + 3 = 7
x = 3, y = 2(3) + 3 = 9
x = 4, y = 2(4) + 3 = 11
x = 5, y = 2(5) + 3 = 13.
Use the coordinate grid below to draw a square the has one vertex in each quadrant, and has an area of 16 square units. Prove that your figure has the correct area using distance and area calculations.
PLEASE HELP AND NO LINKS!
The area of the cube using the distance formula is 16 square units and each side measure is 4 units.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a cube shown in the picture.
Area of the cube = 16 square units
Area of cube = side²
Side = √16 = 4 units
Each side of the cube = 4 units.
From the attached figure, we can see each side lies on each quadrant.
Using the distance formula, we can calculate the distance between two
points:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The area of the cube = 4×4 = 16 square units
Thus, the area of the cube using the distance formula is 16 square units and each side measure is 4 units.
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Prove: (sin α + cos β)^2 + (cos β + sin α)(cos β − sin α) = 2 cos β(sin α + cos β)
The two terms on the left side both have a common factor of (sin(α) + cos(β)), so we can pull it out like so:
(sin(α) + cos(β))² + (cos(β) + sin(α)) (cos(β) - sin(α))
= (sin(α) + cos(β)) [(sin(α) + cos(β)) + (cos(β) - sin(α))]
= (sin(α) + cos(β)) (sin(α) + cos(β) + cos(β) - sin(α))
= 2 cos(β) (sin(α) + cos(β))
Hello Please Find The Answer To This Question (easy)
The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the perpendicular line will be given as
y = mx + c
The given equation is y = -5/2 x + 1.
The slope of the line is -5/2.
Then the product of the slope of the perpendicular lines is a negative one.
-5/2 × m = - 1
m = 2/5
Then the equation will be
y = 2/5 x + c
Then the equation is passing through (10, 3). Then we have
3 = 2/5 × 10 + c
3 = 2 + c
c = 1
Then the equation is y = 2/5 x + 1.
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List all of the factors of the number 30
Giving brainliest please help
Answer:
[tex](x, \: y) --->\: (x - 3, \: \: y - 5)[/tex]
Which of the following is the best example of a definition?
All right angles are congruent.
All right triangles have two congruent angles.
The base angles of an isosceles triangle are congruent.
An isosceles triangle is a triangle with two congruent sides.
Answer:
all right angels are congruent
Step-by-step explanation:
Find the derivative of In( x + a) by using first principle.
Answer:
slide for von
Step-by-step explanation:
Look at circle B below. The circumference of the circle is approximately 157 units. Which best represents the area of circle B?
Answer:
area of circle B=1964 square unit
[50 POINTS] What is the volume of the cylindrical stack of pennies?
Radius of base=19.05/2=9.525
Volume
πr²hπ(9.525)²(38)3447.57π10825.3698 mm³What is the area of a circle with a radius of 35 inches?
in²
(Use 3.14 for Pi.)
Answer:
[tex] \boxed{ \tt{Area \: \: of \: a \: circle = \pi \: {r}^{2} }}[/tex]
Plug the values and then solve :[tex] \longrightarrow \tt \: 3.14 \times 35^{2} [/tex]
[tex] \longrightarrow \tt \: 3846.5\: in ^{2} [/tex]
Our final answer is 3846.5 in ^2--------- HappY LearninG <3 --------
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
What is the area of a circle with a radius of 35 inches?
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
We're asked to find the area of a circle, which we can find using the following formula:-
[tex]\Large\textsf{$A=\pi r^2$}[/tex]
Where:-
A=area[tex]\pi[/tex] = pi [3.14...]r = radius (we're given that it's equal to 35 inches)Replace r with 35 and π with 3.14:-
[tex]\Large\text{$A=3.14\times35^2$}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{$A=3.14\times1,225$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$A=3846,5 in^2$}[/tex]
Good luck with your studies! :-)[tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
Which data set is more likely to produce a histogram with a symmetric distribution? Explain your reasoning.
Data on the number of seconds on a track of music in a pop album.
Data on the number of seconds spent talking on the phone yesterday by everyone in the school.
The data set that is more likely to produce a histogram with a symmetric distribution is data on the number of seconds on a track of music in a pop album.
Which data set would produce a a histogram with a symmetric distribution?Data on a histogram have a symmetric distribution if the left side and the right side of the histogram are mirror images of each other.
It is likely that the number of seconds on a track of music in a pop album would be relatively uniform. Thus, it is likely to have a symmetric distribution. The number of seconds spent talking on the phone varies greatly.
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Please solve with explanation high points
Answer:
a) angle QRP is 92 degrees, side QR is 23 cm, angle RPQ is 47 degrees
b) angle EFD is 65 degrees, side FD is 22cm, side ED is 20cm
Step-by-step explanation:
a) in the first example, you know that u are given QR, PR, and angle PRQ, and u are asked to find triangle PQR,or the rest of the lengths.
step 1-u draw an example of the triangle, i will provide one for each at the bottom of this answer
step 2-lets find the sides first with the pythagorean theorem, which will mean 25²+x²=34². Pythagorean theorem is a²+b²=c²
step 3-after solving for x, x will be 23.04, which means the third side is 23 cm (after rounding).
step 4-now that we have all the sides, we can solve for the rest of the angles, by trigonometric ratios, we are gonna use sine for angle RPQ, sine is sin(the angle u want to find)=opposite side/hypotenuse.
step 5- so sin(RPQ)=25/34, and solve for RPQ on a calculator (i used math) and angle RPQ will equal 47.3 degrees.
step 6- just subtract the sum of both angles from 180 an the last angle will be 92 degrees.
b) u are given the measure of angles FED and EDF and the side length FE, we will solve for the last angle first then we will go for the side engths
step 1- we subtract the sum of the two angles we have from 180 and we will get the measure of angle EFD to be 65 degrees, now we have the angles and we want to find he sides.
step 2-we use sine of angle 31 degrees to find the hypotenuse, but it is opposite of sine since we want to find the side, not the angle, so we will use sin(31)=11.3/x, the sine equation is written like sin(the angle u have)=opposite/hypotenuse.
step 3- after solving for arc sine in a calculator, u will find side FD to be 22cm, and now to find the last side.
step 4-i will use the sine of angle 65 degrees to solve for side ED, it will be sin(65)=x/22, which will make side ED equal 20 cm in length.
ur welcome :)
hope i helped
brainliest please?
Someone please explain to me
Answer:
a. simple random sampling.
im so sorry if its wrong
Use the given information to determine which lines if any are parallel state The postulate or theorem that justifies
Answer: 13 and 14
Step-by-step explanation: algbra
3/4 divied be 8/14. please give me answer
Answer:
1 5/16
Step-by-step explanation:
3/4 / 8/14 is the same as
3/4 * 14/8 = 42 /32 1 5/16
50 points! answer ASAP!! Which of the following is the graph of y = negative (x minus 2) cubed minus 5?
On a coordinate plane, a cubic root function approaches the negative y-axis in quadrant 4, has a point of inflection at (2, negative 5), and then increases and approaches x = 4. On a coordinate plane, a cubic root function approaches x = negative 5 in quadrant 3, has a point of inflection at (negative 2, negative 5), and then approaches the y-axis in quadrant 3. On a coordinate plane, a cubic root function approaches the y-axis in quadrant 4, has a point of inflection at (2, negative 5), and then decreases and approaches x = 4. On a coordinate plane, a cubic root function approaches x = negative 4 in quadrant 3, has a point of inflection at (negative 2, negative 5), and then decreases and approaches the negative y-axis in quadrant 3.
Answer: The second image you attached (I also attached the picture of the right answer)
Step-by-step explanation:
In this equation A is negative so you know it is going downward.
the shift is down 5 units and to the right 2.
You can see this shift in the graph I attached
it is also 1 to 1
Answer:
b
Step-by-step explanation:
keith has a debt of $145.50 at the beginning of the summer. he wants to have at least 200 in the account at the end on the summer if he plans to save 75.50 each week what is the minimum number of weeks he’ll have to work in order to meet his goal?
Total amount he needs to save = 200 + 145.50 = 345.50
Number of weeks = total needed / weekly savings
345.50 / 75.50 = 4.57
He will need to work 5 weeks.
Lucy spent $165 in December using a new credit card. In January, she began paying between $15 and $25 each month towards her account balance. The equation f(x) = 165(0.8)x describes the curve of best fit for Lucy's account balance f(x). Let x represent the number of months since December.
Month Account Balance
December $165.00
January $132.00
February $105.60
March $84.48
Using the equation for the curve of best fit, what will Lucy's account balance be in June? Round to the nearest cent.
A.
$28.25
B.
$53.95
C.
$43.25
D.
$33.25
Answer: 43 c
Step-by-step explanation: adding and multiplecation
What is 2+2? Does 2+2 have anything to do with the number 21? Do the Mayans and the Sons have a answer?
Answer:
i dont know what this means
Step-by-step explanation:
please explain in a further and better format to underline the question son.
Students graphed the growth rate over several weeks of two plants in their classroom. The equations of both plants are given where x represents the time in weeks and y represents the heights of the plants in inches.
Plant A: y = 1.8x + 3.1
Plant B: y = 2.3x + 1.9
Approximately how many weeks will it take for both plants to reach the same height? Round your answer to the nearest tenth.
What is the solution to the system of linear equations? Round to the nearest tenth as needed.
(
,
)
Answer:
A i think
Step-by-step explanation: