[tex]\log_b \left(\dfrac 1{b^{-b}}\right)\\\\=\log_b (b^{-b})^{-1}\\\\=\log_b b^b\\\\=b \log_b b\\\\=b \cdot 1\\\\=b[/tex]
I don’t understand this. Can I plz get some help
There are 3 right triangles in this picture, and they are all mutually similar.
• the smallest triangle has legs 4 and y, and hypotenuse z
• the middle one has legs y and 16, and hypotenuse x
• the largest one has legs z and x, and hypotenuse 16 + 4 = 20
Note the order in which I've listed the sides (shortest to longest). Because these triangles are similar, the corresponding sides occur in a fixed ratio. In particular, we have
4/y = y/16 = z/x … (ratios of each side of the smallest and middle triangles)
4/z = y/x = z/20 … (ratios of the sides of the smallest and largest triangles)
y/z = 16/x = x/20 … (ratios of the sides of the middle and largest triangles)
We just want to find x, which we can do easily with the last equality,
16/x = x/20
Solve for x :
20 • 16/x = 20 • x/20
320/x = x
x • 320/x = x • x
320 = x²
⇒ x = √320 = √(64 • 5) = 8√5
State what information is required to know that the triangles are congruent.
-GEOMETRY
[tex]\huge \bf༆ Answer ༄[/tex]
The additional information needed to prove that the triangles are congruent is ~ A
[tex] \sf\angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
Please find the range of these numbers
Answer:7
Step-by-step explanation:range is highest number subtracted by lowest
Answer:
17
Step-by-step explanation:
The formula for range is max-min.
The max is 91 and the min is 74
91-74=17
In a set of bivariate data, an additional point is added near the regression line but far away from the rest of the data. this
will the slope of the regression line and the correlation coefficient.
A slightly change, strengthen
B greatly change, weaken
C slightly change, weaken
D greatly change, strengthen
E not change, not change
Answer:
C. is the answerStep-by-step explanation:
CARRY ON LEARNINGAND REMEMBER DO ALWAYS READ AND WRITE
hellllllllllllllllllllppppppppppppppppppppp
Answer:
Y-intercept: (0, -10)
X-intercepts: (5,0), (1,0)
Axis of symmetry: (3,0)
Step-by-step explanation:
You can tell what the y-intercept is by looking at the function. At the end there is a “-10”, which indicates that it’s the y-intercept.
There are many ways to find x-intercepts. You can factor the function, use the quadratic formula, or complete the square.
By factoring it, you get
-2(x-5)(x-1)=0
If one part of it equals zero, than the whole function equals zero.
So it can be split up like this
(x-5)=0
(x-1)=0
So...
x=5 and x=1 are the the zeros or (5,0) and (1,0)
Finally, you convert the function from standard form to vertex form. By doing -b/2a, you can find the x-coordinate of the vertex, which is the axis of symmetry. The answer is 3 or (3,0) because -12/2(-2)= 3.
Equations that represent a line parallel to y=8x+4
y=8x+b, b being any number, is parallel to y=8x+4.
For example:
y=8x+2
y=8x+(1/2)
y=8x+937382
y=8x-4
Here is a free 100 points annnnd brainliest
This question is about strategy
Skill
Precision
Alr here it is:
Problem one: Molly bought and infinite amount of bottles of dish soap. She had an infinite amount of money. When she bought the dish soap, she lost all of it.
How is this possible?
Problem one (part two): Molly then called her friend Blitzo over. Blitzo then gave Molly and infinite amount of money without losing all of his money.
How is this possible
If you have questions or want hints, ask in comments below this question
1. She bought the infinite dish soap with her money
2. you can't lose anything infinite
3. remeber our deal? brainliest pls.
What are the coordinates of C if translated 5 units upward?
(6, 11)
hope this helps!
From his eye, which stands 1.61 meters above the ground, Jacob measures the angle
of elevation to the top of a prominent skyscraper to be 25°. If he is standing at a
horizontal distance of 281 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.
Step-by-step explanation:
we have a right-angled triangle, that is "hovering" 1.61 m above the ground.
the Hypotenuse (the side opposite of the 90 degree angle) is the line of sight from the eye to the top of the skyscraper.
one leg is the height of the skyscraper (minus the 1.61 m).
the other leg is the ground distance from Jacob to the skyscraper (281 m).
we know already 2 angles : the 90° angle between the ground distance and the skyscraper height. and the 25° between the ground distance and the line of sight.
and as we know that the sum of all angles in a triangle is always 180°, we know that the third angle (between the line of sight and the skyscraper height) is
180 - 90 - 25 = 65°
now we can use the law of sines
a/sin(A) = b/sin(B) = c/sin(C)
(the ratio between a side and its opposing angle)
to get all missing side lengths.
the 25° angle is opposite of the skyscraper height, and the 65° angle is opposite of the ground distance (the only side length we know so far).
so,
height/sin(25) = 281/sin(65)
height = 281 × sin(25)/sin(65) = 131.0324519... m
to get the full height of the skyscraper, we need to add the 1.61 m that the described triangle was "hovering" above ground.
therefore, the height of the skyscraper is
131.0324519... + 1.61 = 132.6424519... ≈ 132.6 m
after the outbreak of a mysterious disease, the average wait time at a hospital by 70%. Before the outbreak, the average wait time at a hospital is m minutes
Answer:
1.7m
Step-by-step explanation:
Given that 'm' was the waiting time before the outbreak
After the outbreak, waiting time increased by 70%.
This implies that :
70% of m increase
m + 70% of m
m + 70/100 of m
m + ( 70÷100 ) × m
m + 0.7m
= 1.7m
Step-by-step explanation:
radius=12 round up to the nearest tenth
Answer:
12.0
Step-by-step explanation:
Answer:
452.4
Step-by-step explanation:
What is the factored form of n3+512 (pleas help fast)
A- (n-8)(n^2+8n+64)
B- (n+4)(n^2-4n+128)
C- (n-4)(n^2+4n+128)
D- (n+8)(n^2-8n+64)
Answer:
Since both terms are perfect cubes, factor using the sum of cubes formula,
a³+b³=(a+b)(a²-ab+b²) where
a=n and b=8
(n+8)(n²-8n+64)
Answer
(n+8)(n²-8n+64)
hi
have a good day
thank me later
Carryonlearing
Answer:
Step-by-step explanation:
The only one that has a chance of being correct is D. That's because the first term is correct and you have to assume that the second one is as well.
cubrt(512) = 8
The first term is (n + 8)
The second term is (n^2 - 8*n + 8^2) = n^2 - 8n + 64
All the other answers have the wrong first term
A: it should be n + 8 not n - 8
B and C are both wrong because the cube root of 512 is 8 not 4.
point:(-5,1); slope: -
4
write in point-slope form:
Answer:
y-1=-4(x+5)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=-4(x-(-5))
y-1=-4(x+5)
Answer: y - 1 = -4(x + 5)
Step-by-step explanation:
The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.
Using the formula, we will plug in our known values to write our equation.
y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])
y - (1) = (-4)(x - (-5))
y - 1 = -4(x + 5)
However, in the picture the slope is [tex]\frac{1}{4}[/tex], so we would write it as;
y - 1 = [tex]\frac{1}{4}[/tex](x + 5)
It costs $10 to rent a canoe and $5.50 to use the canoe for an hour. You have $21. Write an equation that represents the number h of hours you can rent the canoe.
Answer:
21 = 10 + 5.5h
Step-by-step explanation:
Total cost = initial cost + hourly cost
21 = 10 + hourly cost
hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour
21 = 10 + 5.5h
Answer:
Step-by-step explanation:
$10 + $5.50h ≤ $21
Let h stand for the hours the canoe is rented.
Fixed cost = $10, regardless of h.
$5.50h for the cost of n hours of rental.
Total cost = $10 + $5.50h
The total cannot exceed $21, legally.
So we should write:
$10 + $5.50h ≤ $21
If $10 + $5.50h ≥ $21 then ║║║║║║║
what is 69+69-69+1-1+0
Answer:
207
Step-by-step explanation:
(0, 2), (1,7) create a equation that passes through each pair of points
Answer:
y = 5x + 2
Step-by-step explanation:
Given the equation 5x + 2
Plug in 0
y = 5(0) + 2
y = 2
(0,2)
Given the equation 5x + 2
Plug in 1
y = 5(1) + 2
y = 7
(1,7)
Calculate the average speed of an airplane, in miles per hour, if it travels 1,000 miles in 2
2 1 2
hours.
The average speed of the airplane which travels the given distance and time is 400mph.
SpeedSpeed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.
It is expressed as;
s = distance / time = d / t
Given the data in the question;
Distance travelled d = 1000miTime taken t = 2 and 1/2 hrs = 2.5hrsAverage speed; s = ?To determine the average speed of the airplane, we substitute our given values into the expression above.
s = d / t
s = 1000mi / 2.5hrs
s = 400mph
Therefore, the average speed of the airplane which travels the given distance and time is 400mph.
Learn more about Speed and Velocity here: https://brainly.com/question/10566304
Congruence Criteria for a Parallelogram's two triangles is:
ASA
HL
AAS
SSS
Answer:
ASA
Step-by-step explanation:
two angles are the same and one side is the same
Ayudaaaaaa es para hoy
Answer:
Step-by-step explanation:
a (2³)² = 2³ˣ² = 2⁶
b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1
c (5⁶)³ = 5⁶ˣ³ = 5¹⁸
d (6²)⁴ = 6²ˣ⁴ = 6⁸
e (8³)⁴ = 8³ˣ⁴ = 8¹²
f (4³)² = 4³ˣ² = 4⁶
g (9¹)² = 9¹ˣ² = 9² = 81
h (3⁷)² = 3⁷ˣ² = 3¹⁴
i (10²)³ = 10²ˣ³ = 10⁶
j (11²)⁴ = 11²ˣ⁴ = 11⁸
patrick said that the product of any number and 4 is always double the product of that number and 2. Is patrick correct. explain
Patrick is correct, since the two parts of the statement are equal.
From the question,
Patrick said that the product of any number and 4 is always double the product of that number and 2. We are to investigate if Patrick is correct.
First, let the number be x,
From the first part of the statement
The product of any number and 4
That is,
4 × x = 4x
And
The second part of the statement,
double the product of that number and 2
That is,
2(x × 2) = 2(2x)
Now, we will investigate if
4x = 2(2x)
Expand the right hand side of the equation
That is,
4x = 2 × 2x
Then, we get
4x = 4x
Since the two parts of the statement are equal, then Patrick is correct.
Hence, Patrick is correct, since the two parts of the statement are equal.
Learn more here: https://brainly.com/question/14176303
−3.6−1.9t+1.2+5.1t ////////////////////////////////////////////////////////////
Answer:
3.2t -2.4
Step-by-step explanation:
Combine like terms then solve (-1.9t +5.1t)+(-3.6+1.2)
Hi Guys,
I am Revising for Exams.
I don't get the Topic:
PERCENTAGES OF AN AMOUNT.
Please help me to find out the Answer/Equation etc
Thank You All.
someone please help, will give branliest
consider a sequence with the common difference of 5 and whose fiftieth term is 259. what are the first three terms of this sequence?
A- 15,20,25
B- 13,18,23
C- 9,14,19
D- 14-19,24
E- 10,15,20
Jill takes 2 hours to paint a room, Jim takes 3 hours to paint a room. How long (in minutes) will it take both of them to paint a room
Answer:
72 minutes
Step-by-step explanation:
The sum of the rates of work in rooms per hour is ...
Jill's rate + Jim's rate
= (1/2 room/hour) +(1/3 room/hour) = (3/6 +2/6 room/hour) = 5/6 room/hour
__
Then the combined rate in hours per room is ...
1/(5/6 room/hour) = 6/5 hours/room = (6/5 hours/room)(60 minutes/hour)
= 72 minutes per room
Jill and Jim can paint the room in 72 minutes when they work together.
Mrs. Rainer would like to buy 28
composition notebooks for her math class.
If they are on sale for $0.94 each, how
much will she spend, not including tax?
Answer:
$26.32
Step-by-step explanation:
0.94x28 = 26.32
(Meeting character limit)
explain why the area of the large rectangle is 2a + 3a + 4a
Answer:
The area of the large rectangle = the sum of the areas of the three smaller rectangles
areas of the smaller rectangles are : 2a, 3a, and 4a respectively
Therefore the area of the lage rectangle = 2a + 3a + 4a
The sum of the area of all the rectangles will be 2a + 3a + 4a.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L×W square units
The dimensions of the rectangle are 2 by a, 3 by a, and 4 by a.
The area first rectangle is given as,
⇒ 2 × a
⇒ 2a
The area second rectangle is given as,
⇒ 3 × a
⇒ 3a
The area third rectangle is given as,
⇒ 4 × a
⇒ 4a
The total area of the rectangle will be given as,
A = 2a + 3a + 4a
More about the area of the rectangle link is given below.
https://brainly.com/question/20693059
#SPJ2
Evaluate the expression for x = 5 and y = -1
xy - y =
Answer:
-4
Step-by-step explanation:
xy-y = ?
(5)(-1)-(-1) = ?
-5 + 1 = -4
Hope that helps
Which of these actions would decrease heat transfer between two objects?
increasing the temperature of the warmer object
increasing the area of their contact
reducing the thermal energy of the cooler object
reducing the time of their contact
(Fr ran out of free answers)
Answer:
increasing the area of their contact
100 points!! ASAP do all problems with steps to your answer
Answer:
11. 10
12. -9v + 7
13. 1-10b
14. 5n+10
15. 12v
16. 0
17. 0
18. -4n+10
19. 9b - 9
20. 5v-8
Hope it help.
Answer: 13: 1-10b
14: 5n +10
15: 12v
16: nothing
17 0
18: 10 -4n
19: 11 + 5b
20: 5x + -8
Step-by-step explanation:
13: 6b + 4b = 10b
1-0=1
1-10b
14: n+4n = 5n
5n+10
15: 10v + 2v = 12v
16: 6v - 6v = 0
17: -2 +2 =0
18: 9 + 1 = 10
5n + n = 4n
10 - 4n
19: 10 + 1 = 11
7b-2b = 5b
11 + 5b
20: 1 -9 = -8
5x + -8