Answer:
are there options?
Step-by-step explanation:
Expand each logarithm. State the properties of logarithms used. log₂ (2 y-4)³
The expanded form of the equation log₂ (2 y-4)³ is 3log₂(2y -4).
What exactly are extended forms?An expanded form is a method of writing a number through adding the digit values. A place value chart can help us think about the worth of a number's digits. Logarithms can be expanded by writing them as a sum as well as difference of logarithms, using the power rule if necessary. The order summation rule, product rule, as well as power rule are frequently useful.
Expanding the equation log₂ (2 y-4)³:
log₂ (2 y-4)³
applying the log rule logₐxᵇ = b*logₐ(x)
so that
3log₂(2y -4)
The expanded form of the equation log₂ (2 y-4)³ is 3log₂(2y -4).
To know more about Logarithms property visit:
https://brainly.com/question/12049968
#SPJ4
12. The diameter of a circle has endpoints D(7, 33)
and E(31, 1). The center of the circle, C, is the
midpoint of the diameter.
Part A
What is the length of the radius DC in units?
Part B
What are the coordinates of the center of the
circle?
The length of the radius DC (or EC) in units is 20 units and the coordinates of the center C of the circle is (19, 17) using concept of Coordinate Geometry and Lines.
As per the question statement, The diameter of a circle has endpoints D(7, 33) and E(31, 1). The center of the circle denoted by C, is the midpoint of the diameter. We are supposed to find the length of the radius DC (or EC) in units and the coordinates of the center C of the circle
Now using the distance formula in Line concept and coordinate geometry,
Distance between two points is given by d = √{(x2-x1)^2+(y2-y1)^2}
Given coordinates of D are (7, 33) and E are (31, 1)
Therefore Distance DE = √{(31-7)^2 + (1-33)^2}
DE = √{(576)+(1024)}
DE = √1600
DE = 40 units
Therefore, length of diameter DE is 40 units so length of radius DC (or EC) will DE/2 = 40/2 = 20 units
Now using Mid Point Formula of Line concept and coordinate geometry,
Mid Point of line joining two points is given by
C = ({x1 + x2}/2, {y1 + y2}/2)
C = ( {31+7}/2 , {1+33}/2)
C = (19, 17)
Coordinate Geometry: In this area of geometry, coordinates are used to describe a point's location.Line concept: A line is a straight, one-dimensional figure in geometry that is infinitely long in both directions and has no thickness.To learn more about such questions related to coordinate geometry, click on the link given below:
https://brainly.com/question/28182497
#SPJ1
1 Name a linear pair. Describe the relationship of their measurements.
Answer:
Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.
Step-by-step explanation:
If there is a pair of adjacent angles, then this pair is a linear pair if the sum of the (measures of the) two angles will be 180°. So, linear pair of angles always add up to 180°. For example, the linear pair of 30° is 150°, the linear pair of 70° is 110°, etc.
These two angles form a linear pair. We have found all four linear pairs of angles. The four linear pairs formed by the intersecting lines ←→QR Q R ↔ and ←→ST S T ↔ are ∠SOQ ∠ S O Q and ∠QOT ∠ Q O T , ∠QOT ∠ Q O T and ∠TOR ∠ T O R , ∠TOR ∠ T O R and ∠ROS ∠ R O S , and ∠ROS ∠ R O S and ∠SOQ ∠ S O Q .
use the following function rule to find f (70)
submit
Answer:
-70
Step-by-step explanation:
you didn't put the function so sorry if it is wrong
You buy 6 notebooks for $ 2.00 each, 10 folders at $1.00 each, 2 packs of pencils for $3.00 each and one lunch box for for $ 8:00 write an expression to final the cost of your school supplies
I rlly need help on this asap pls help :,)
Answer:
(6*2)+(10*1)+(2*3)+(1*8)
Step-by-step explanation:
6 notebooks for 2 dollars each: 6*2 dollars spent
10 folders for 1 dollar each: 10*1 dollars spent
2 packs of pencils for 3 dollars each: 2*3 dollars spent
1 lunch box for 8 dollars each: 1*8 dollars spent
Add all the dollars spent per item type for total dollars spent
An expression does not have an equal sign
-2√294p³
I don’t understand how to get the square root of √294p³
The expression -2√294p³ can be simplified as -17.146 p√p using the concept of radicals.
What is a radical?An expression that has a root, typically a square or cube root, is referred to as a radical.
The radical form of the square root of 294 is √294 and the exponent form is [tex]294^{\frac{1}{2} }[/tex].
17.146428 is the square root of 294 when rounded to six decimal places.
Now, the square root of p³ will be
[tex]\sqrt{p^{2} .p}[/tex] = p√p
Therefore the square root of √294p³ is 17.146428p√p.
The expression -2√294p³ can be written as -17.146 p√p.
To learn more about radicals, visit:
https://brainly.com/question/14923091
#SPJ9
Convert 0.074 to standard form.
Answer:
In standard form 7.4 × 10^-2
Step-by-step explanation:
Answer:
7.4×10^-2
Step-by-step explanation:
Firstly, to convert 0.074 to standard form you will bring the first significant figure and make it the first I.e 7.4 then count how many times you took it backwards to make it 7.4 then put a negative sign in front of it because you took it backwards
Use a two dimensional model and the dimensions provided to calculate the perimeter and area of the sail. Round the area to the nearest tenth if necessary.
perimeter:__________ft ___________in
Area:______________ft^2
From the given triangular sail, it is found that:
The perimeter is of 41 ft 3 in.The area is of 81.4 ft².What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure.
Considering that 1 ft = 12 inches, the outer edges for this triangle are given as follows:
14.5833 ft, 13.3333 ft, 13.3333 ft.
Hence the perimeter is given by:
P = 14.5833 + 13.3333 + 13.3333 = 41.25 ft = 41 ft 3 in.
What is the area of a triangle?The area of a triangle is given by half the multiplication of the base and the height of the triangle.
For this triangle, we have that:
The base is of b = 14.5833 ft.The height is of h = 11.1667 ft.Hence the area is:
A = 0.5 x 14.5833 x 11.1667 = 81.4 ft².
More can be learned about the area and the perimeter of a triangle at https://brainly.com/question/17335144
#SPJ1
Answer:
100%
Step-by-step explanation:
what is (18+x) x 28=326?
Answer:
x = -6.36
Step-by-step explanation:
(18 + x) × 28 = 326
Divide both sides by 28
18 + x = 11.64
Subtract 18 from both sides
x = -6.36
Identify the coordinates of the midpoint of JW¯¯¯¯¯¯, which has endpoints J(−1,−9) and W(7,−7).
[tex] \large \bf \longrightarrow{(3, - 8)}[/tex]
Step-by-step explanation:Step 1) : Write the midpoint formula
[tex] \large \implies \bf(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]
Step 2) : Substitute (-1 , -9) and (7 , -7) into [tex]\bf(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]
[tex]\large \implies \bf(\frac{ - 1 + 7}{2}, \frac{ - 9 - 7}{2} )[/tex]
Step 3) : Calculate
[tex]\large \implies \bf(\frac{6}{2}, \frac{ - 16}{2} )[/tex]
Step 4) : Cross out the common factor
[tex]{\large \implies \bf(\frac{ \cancel{6}}{ \cancel{2}}3, \frac{ \cancel{ - 16}}{ \cancel{2}}} \bf - 8)[/tex]
Step 5) : We have got the answer
[tex]\large \bf \implies{(3, - 8)}[/tex]
Determine whether the vectors in each pair are normal to each other. (0.8 -0.6) [0.3 0.4]
Since their dot product is equal to zero, then vectors (0.8, -0.6) and (0.3, 0.4) are normal to each other.
Two vectors are said to be normal or perpendicular to each other if the result of their dot product is equal to zero.
These two vectors are also called orthogonal to each other.
Let u = (u₁, u₂) and v = (v₁, v₂), then the dot product u . v is defined as:
u . v = u₁v₁ + u₂v₂
To check whether the vectors are normal to each other, let us check their dot product.
The given vectors are: (0.8, -0.6) and (0.3, 0.4).
Let u = ((0.8, -0.6) and v = (0.3, 0.4), then,
u . v = 0.8 . 0.3 + (-0.6) . 0.4
= 2.4 + (-2.4) = 0
Since u.v = 0, then vectors (0.8, -0.6) and (0.3, 0.4) are normal to each other.
Learn more about orthogonal vectors here:
https://brainly.com/question/14404243
#SPJ4
The figure shown is composed of a rectangle
and a hexagon. The length of each side of the
hexagon is 2 centimeters. Determine the area
of the shaded region.
Answer:
Step-by-step explanation:
The area of shaded region is 3.6077 cm²
What is Area of rectangle?The area occupied by the rectangle within its perimeter can be calculated using the formula for the area of a rectangle.
A rectangle's area is calculated by multiplying its length by its width. Therefore, the product "l x w" is the formula for the area, "A," of a rectangle whose length and breadth are "l" and "w," respectively.
Given:
rectangle:
Length = 4 cm
width= [tex]3 \frac{1}{2}[/tex] cm
So, area of rectangle
= length x width
=4 x [tex]3 \frac{1}{2}[/tex]
= 4 x 7/2
=14 cm²
Now, area of Hexagon
= 3√3/2 x a²
= 3√3/2 x 2²
= 3√3/2 x 4
= 3√3 x 2
= 10.3923 cm²
Then, area of shaded region
= 14 - 10.3923
=3.6077 cm²
Learn more about area of rectangle here:
https://brainly.com/question/7698325
#SPJ5
Given E is the midpoint of AC complete the flowchart proof below. Note that the last statement and reason have both been filled in for you.
The reasons in the asked situations are:
(A) E is the midpoint of AC:
Reason - E bisects line AC and is perpendicular to line AC.(B) ∠D≅∠B:
Reason - Alternate anglesWhat are alternate angles?Angles of the same size that are found on opposing sides of the transversal line are known as alternate angles. Angles that alternate are equal: By creating a Z shape, we can easily identify interior alternate angles: Alternate angles come in two varieties: alternate interior angles and alternate exterior angles.So, (A) E is the midpoint of AC:
Reason - E bisects line AC and is perpendicular to line AC.(B) ∠D≅∠B:
Reason - Alternate anglesTherefore, the reasons in the asked situations are:
(A) E is the midpoint of AC:
Reason - E bisects line AC and is perpendicular to line AC.(B) ∠D≅∠B:
Reason - Alternate anglesKnow more about alternate angles here:
https://brainly.com/question/26167358
#SPJ9
1. ¿Cuál de las siguientes expresiones representa el
producto de 9 por x, restado del cociente de 2
entre x?
2
(1) // - 9x
X
2
(2) -9x
(3) 2x(-9x)
(4) 9 - X-
(5) (2 + x) 9x
-
2
-
Answer:
(2/x) - 9x
Step-by-step explanation:
si una de las respuestas se ve así, elija esa.
Please Help acellus is torture.
The angle made by the vector is [tex]\theta[/tex] such that
[tex]\tan(\theta) = \dfrac{18.4\,\rm m}{-28.7\,\rm m} \approx -0.6411[/tex]
Before taking the inverse tangent of both sides, recall that [tex]\arctan[/tex] returns a number between -π/2 and π/2 radians, or -90° and +90°. The vector in the diagram clearly makes an angle between 90° and 180°, however, so we use the fact that tangent has a period of π rad / 180° to write
[tex]\theta \approx \arctan(-0.6411) + 180^\circ n[/tex]
where [tex]n\in\Bbb Z[/tex].
Now,
[tex]\arctan(-0.6411) \approx -0.5701 \,\mathrm{rad} \approx -32.6639^\circ[/tex]
Add 180° to this to recover the correct angle.
[tex]\theta = \arctan(-0.6411) + 180^\circ \approx \boxed{147.34^\circ}[/tex]
What is the slope of a line parallel to the line whose equation is 2x-5y=302x−5y=30. Fully simplify your answer
Answer:
x = 30 + 5y / 2
Step-by-step explanation:
The slope of the line parallel to the given line is 2/5.
What is slope?Slope of a line is the measure of the steepness and the direction of the line.
Given that, an equation of a line, 2x−5y = 30
Converting the equation in slope intercept form,
2x−5y = 30
5y = 2x - 30
y = 2/5x - 30
We know that the slope of two parallel lines are equal.
Hence, The slope of the line parallel to the given line is 2/5.
For more references on slope, click;
https://brainly.com/question/3605446
#SPJ2
HELP!
Estimate 63% of 109.
6.6
88.2
66
91.3
Answer:
66
Step-by-step explanation:
63% of 109 is 68.67 the closest answer is 66
The square root at Sam's gym has an Area of 144 square feet. What is the lenght of the perimeter of the pool?
The length of one side of the pool is 12 feet
The shape of the pool is a square
A square is a 2-dimensional quadrilateral with sides of equal lengths.
Characteristics of a square
The angles in the square are right angles
The sum of angles equal 360 degrees
Diagonals are equal in length
Area of a square = length²
144 = length²
In order to determine the length of a side, determine the square root of the area
√144 = 12 feet
therefore the area of a gym is 12 feet.
dimension, in common parlance, the measure of the size of an object, such as a box, usually given as length, width, and height. In mathematics, the notion of dimension is an extension of the idea that a line is one-dimensional, a plane is two-dimensional, and space is three-dimensional.
to know more about area;
visit; brainly.com/question/27683633
#SPJ9
(a) The function g (t) = 5.9t models the average distance, g (t), in kilometers that Alice walks over time, t, in hours. Compare the rate of change of f (t) to the rate of change of g (t).
What does this tell you about Alice's and Bob's speeds?
Using linear function concepts, it is found that:
The rate of change of f(t) is of 7.2 kilometers an hour.The rate of change of g(t) is of 5.9 kilometers an hour.From the rates, Bob is 1.3 kilometer an hour faster than Alice.What is the missing information?Bob's function is missing, and is given by:
f(t) = 7.2t.
What is a linear function?A linear function is modeled according to the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For this problem, the linear functions for the distances are given as follows:
Bob's: f(t) = 7.2t. (slope of 7.2, intercept of 0).Alice's: g(t) = 5.9t. (slope of 5.9, intercept of 0).The rate of change of a linear function is given by it's slope, hence they are given as follows for the functions in this problem:
f(t): 7.2 kilometers an hour.g(t): 5.9 kilometers an hour.The difference between the rates is given by:
7.2 - 5.9 = 1.3.
From the difference between the rates, Bob is 1.3 kilometer an hour faster than Alice.
More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
Please help me I am confused!!!!!!!!!!!
Answer: 202 ounces
Step-by-step explanation:
Because all you had to do is add all the ounces to get the amount he drank between 9 am and 2 pm!
Please answer the question below
Thanks
The amount Nicole's mother owe her for babysitting is 9.48 dollars.
How to find the amount Nicole mother is owing after the order?She ordered a volleyball for $9.75, a net for $29.99, and knee pads for $15.00.
Nicole's mother said that she would pay for the order on her credit card if Nicole gave her the money.
Nicole gave her mother $40.00 .
Her mother also applied the money that she owed Nicole for babysitting.
Nicole's mother then gave her back $5.26.
The amount Nicole's mother owe her for babysitting can be calculated as follows;
Therefore, the total amount for the order is
$9.75 + $29.99 + $15.00 = $54.74
let the money her mother owes her = x
Therefore,
x + 40 + 5.26 = 54.74
x = 54.74 - 40 - 5.26
x = 54.74 - 45.26
x = 9.48
Therefore, the amount Nicole's mother owe her for babysitting is 9.48 dollars.
learn more on orders and credits here: https://brainly.com/question/18296834
#SPJ1
A triangle has a base of [tex]2^{-3}[/tex] units and a height of [tex]2^{-4}[/tex] units. What is the height of the triangle? Write your answer using a positive exponent.
The height of the triangle has a measure of 2⁻⁴ units, that is equivalent to a measure of 1 / 2⁴ units.
What is the height of a triangle?
The statement indicates the dimensions of a triangle, where the base and the height of the figure are expressed by exponential numbers with positive integer base and negative integer exponents and each of which must be rewritten with positive exponents, this can be done by using the following power property:
a⁻ⁿ = 1 / aⁿ
Then, if the height of the triangle has a measure of 2⁻⁴ units, that is equivalent to a measure of 1 / 2⁴ units.
To learn more on exponential numbers: https://brainly.com/question/544958
#SPJ1
simplify this fraction
Answer:
1
Step-by-step explanation:
1 / 3-x
x - 2/x - 3
(x - 2)/x - 3
-3/x - 3
(x - 2) + -1/x - 3
= x - 3/x - 3
Cancel
= 1
Write an equation for the translation of y=2/x that has the given asymptotes. x=0 and y=4
Equation for the translation of y=2/x that has the given asymptotes. x=0 and y=4 is y = 4(x+7) + 6
What is asymptote?A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar settings.
y = 4(x+7) + 6
To learn more about asymptotes from given link
https://brainly.com/question/16403220
#SPJ4
4/9 x (-1/8)= ??
(MUST BE SIMPLIFIED FRACTION)
Answer: put 32x over 9 as a fraction and it would be a negative so put a - in front
Step-by-step explanation:
Which type of function models the data in the table best-linear, quadratic, logarithmic, cubic, or exponential?
The best function to model this data is a linear function.
We have the data:
x y
0 -1
1 -0.5
2 0
3 0.5
4 1
From the table, we see that,
The slope of the points are given by:
(- 0.5 + 1) / (1 - 0) = 0.5 / 1 = 0.5
(0 + 0.5) / (2 - 1) = 0.5
(0.5 - 0 ) / (3 - 2) = 0.5
(1 - 0.5) / ( 4 - 3 ) = 0.5
Thus, the equation of the function is, y = 0.5 x - 1
So, the best function for this model is a linear function.
Therefore, we get that, the best function to model this data is a linear function.
Learn more about linear function here:
https://brainly.com/question/15602982
#SPJ4
Your question was incomplete. Please refer the content below:
Which kind of function best models the data in the table? use differences or ratios.
x y
0 -1
1 -0.5
2 0
3 0.5
4 1
a)liner
b)quadratic
c)exponential
d)none of these
Prompt: Tell me what you know about slope. Be as detailed
as possible and write in paragraph form. Some examples you
can expand on would be slope of parallel and perpendicular
lines, finding slope on a graph, using slope formula, etc.
Step-by-step explanation:
what did your teacher do in class ? nothing ?
it is really not that complicated :
the slope of a line is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.
it tells us how many units y changes when x changes by a certain number of units.
e.g. a slope of 2 = 2/1 means that when we increase x by 1, y increases by 2.
a positive slope means that the line goes up (seen while going from left to right).
a negative slope means that the line goes down.
therefore, a slope of 0 means a flat, horizontal line.
while for a vertical line the slope is the result of a division by 0 and is therefore undefined (some like to symbolize this by infinity).
parallel simply means to have the same slope. parallel lines imitate each other's behavior and attributes perfectly except for the absolute physical location.
perpendicular (at a 90° angle) slopes now simply turn x and y in the ratio upside-down and flip the overall sign of the slope.
e.g. the perpendicular slope of 2 = 2/1 is -1/2.
oh, and the slope of a function or curve that is not a line ?
then we go point by point, as the function does not have one slope for everything. and the slope of the function at a particular point is the slope of the tangent line at that point.
all clear now ?
Factor 5x2 + 7x + 2 completely (SHOW WORK)
please help me <3
Pleae answer! There are 40 players on the basketball court in a city. there are 2 teams on each court and 5 players on each team. select all the equations you can use to find the number of basketball courts, c.
A: c times 2 times 5= 40
B: 40 divided by c = 2 times 5
C: 2 times 5 times 40= c
D: 40 divided by 5 times 2= c
E: 40 divided by (5 times 2)= c
Answer: Select all the equations you can use to find the number of basketball courts, c is = 4.
Step-by-step explanation:
Given data,
Number of players on the basketball court in a city = 40
Number of teams on each court = 2
Number of players on each team = 5
Find all the equations you can use to find the number of basketball courts, 'c'.
So, we can solve it all equations,
Then,
We select equation A :
Equation A is : c times 2 times 5= 40
We can write,
Equation A is : cx2x5 = 40
simplify equation,
c x 2 teams x 5 players = 40players
We can write,
cx2x5 = 40
cx10 = 40
c = 40/10
c = 4
Therefore, equation A use the number of basket ball courts c is = 4.
We select equation B :
Equation B is : 40 divided by c = 2 times 5
We can write,
Equation B is : 40/c = 2x5
simplify equation,
40 players / c = 2 teams x 5 players
We can write,
40/c = 2x5
40/c = 10
40 = 10c
c = 40/10
c = 4
Therefore, equation B use the number of basket ball courts c is = 4.
We select equation C :
Equation C is : 2 times 5 times 40= c
We can write,
Equation C is : (2 x 5) 40 = c
simplify equation,
(2 teams x 5 players ) 40 players = c
(2 teams x 5 players ) = 40 players divided by c
We can write,
( 2 x 5 ) = 40/c
10 = 40/c
c = 40/10
c = 4
Therefore, equation C use the number of basket ball courts c is = 4.
We select equation D :
Equation D is : 40 divided by 5 times 2= c
We can write,
Equation D is : 40/5x2 = c
simplify equation,
40 players / 5 players x 2teams = c
We can write,
40/5x2 = c
40/10 = c
4 = c
c = 4
Therefore, equation D use the number of basket ball courts c is = 4.
We select equation E :
Equation E is : 40 divided by (5 times 2)= c
We can write,
Equation E is : 40/5x2 = c
simplify equation,
40 players / 5 players x 2 teams = c
We can write,
40/5x2 = c
40/10 = c
4 = c
c = 4
Therefore, equation E use the number of basket ball courts c is = 4.
Therefore,
select all the equations you can use to find the number of basketball courts, c is = 4.
Learn more about event correlation here: brainly.com/question/28394164
#SPJ9
how do you know two numbers are opposites?
Answer:
if they have the same absolute value but different signs.
Step-by-step explanation:
Answer:
if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0