Answer:Integer Part: 67
Fractional Part: 60
Step-by-step explanation: This is how to round 67.6 to the nearest whole number. In other words, this is how to round 67.6 to the nearest integer.
67.6 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Answer:67
Step-by-step explanation:
When you round 67.6 to the nearest whole number you take the 6 off and get 67
Ms.Griffith lives on one of the highest floors in her apartment building. The elevator goes up one floor every 10.2 seconds. Along the way, it stops for a total of 45.8 seconds for people to get out. If it takes her 158 seconds to travel from the lobby to her apartment, what floor does she live on?
Answer:
Ms. Griffiths lives on 3rd floor
Step-by-step explanation:
The elevator moves 10.2 seconds from one floor to another and stops for 45.8 seconds for people to exit. Thus, add: 10.2 seconds + 45.8 seconds = 56 seconds
If it takes her 158 seconds to travel from the lobby to her apartment, then 158 seconds/56 seconds = 2.8 = 3 (approximately).
Therefore, she lives on 3rd floor.
Mathematically, the values ought to be 168 seconds /56 seconds = 3.
Evaluate –x + (–7.5) for x = 6.3.
Answer:
Step-by-step explanation:
The answer is 1.2, you want to replace the x with the 6.3 and then the -7.5 ends up turning into a positive. You then add the two together -6.3 + 7.5 = 1.2
A 50-foot tree casts a shadow 9 feet long. The sine of the angle between the ground and the line that connects the top of the shadow to the top of the tree is approximately
Final answer:
The sine of the angle between the ground and the line connecting the top of the shadow to the top of the tree, given a 50-foot tree and a 9-foot shadow, is approximately 0.984, calculated using the definition of sine in a right triangle and the Pythagorean theorem.
Explanation:
The question involves finding the sine of the angle between the ground and the line connecting the top of the shadow to the top of the tree, given that a 50-foot tree casts a 9-foot long shadow. In this scenario, we can visualize a right triangle where the tree represents the opposite side (height), the shadow represents the adjacent side (base), and the hypotenuse is the line from the top of the tree to the end of the shadow on the ground.
To find the sine of the angle, we use the definition of sine in a right triangle, which is sine(angle) = opposite / hypotenuse. However, before we can do that, we need to determine the length of the hypotenuse using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).
Let's calculate:
a (opposite) = 50 feet (Height of the tree)
b (adjacent) = 9 feet (Length of the shadow)
c (hypotenuse) = √(50² + 9²) = √(2500 + 81) = √2581 = 50.8 feet (approximately)
Now, we can calculate the sine of the angle:
sine(angle) = opposite / hypotenuse = 50 / 50.8 ≈ 0.984
Therefore, the sine of the angle between the ground and the line connecting the top of the shadow to the top of the tree is approximately 0.984.
Complete the inequality statement
7/10 ___ 11/20
> < =
Answer:
The person up there is right just saying:)
Step-by-step explanation:
6x−4=2(3x−2)
x = ___
(type your answer as a number, "no solution" or "infinite solutions")
Answer:
0=0
Step-by-step explanation:
Simply,there is no solution.
Use unit multipliers to convert 50 square meters to square inches
50 square meters is equal to 77500 square inches
Solution:
Given that we have to convert 50 square meters to square inches
Use the following conversion factor
1 meter is equal to 39.3701 inch
That is,
[tex]1\ meter = 39.3701\ inch[/tex]
Now frame the conversion factor for square meters to square inches
[tex]1\ meter\ \times meter = 39.3701 \times 39.3701\ inch\ \times inch\\\\1\ m^2 = 1550\ in^2[/tex]
Now convert 50 square meters to square inches
Muliply both the sides by 50
[tex]1 \times 50\ m^2 = 1550 \times 50\ in^2\\\\50\ m^2 = 77500\ in^2[/tex]
Thus 50 square meters is equal to 77500 square inches
Pls help me!!! Will mark brainliest!!!
These 4 questions answered and work shown
For Reference): Topics: Trig functions exact values and reciprocal trig functions exact values
Answer:
25) If f(x) = sin ([1/3] x) , find f(π/2).
Substitute with x = π/2
f(π/2) = sin ([1/3] *[π/2]) = sin (π/6) = 1/2
======================================
26) If f(x) = cos (2x) , find f(3π/4).
Substitute with x = 3π/4
f(3π/4) = cos ( 2 * 3π/4) = cos ( 3π/2) = zero.
======================================
27) If f(x) = sin (2x) + cos (3x) , find f(π/4)
Substitute with x = π/4
f(π/4) = sin ( 2 * π/4) + cos ( 3 * π/4) =
= sin ( π/2) + cos ( 3π/4)
= 1 - 1/(√2)
= 0.293
======================================
28) f(x) = tan (5x) - sin (2x) , find f(π/6).
Substitute with x = π/6
So, f(π/6) = tan (5 * π/6) - sin ( 2 * π/6)
= tan (5π/6) - sin (π/3)
= -1/(√3) - (√3)/2
= -1.443
what did the harlem renaissance celebrate accomplished and lead to in the early 1900’s
Answer:
The migration of the African-Americans to Harlem in the USA empowered the African-Americans in the society in the early 1900s. This was one of the greatest accomplishments of the African-Americans in history.
Explanation:
The "Harlem Renaissance" was originally called the "New Negro Movement." During the "Reconstruction Era," many of the African Americans felt a newfound empowerment in the society. They started leaving the South, where most of them were enslaved and maltreated. Many of them moved to other places such as "Harlem" in New York City. It became an ideal destination for many "Negros" and their number increased over time. This then became an African-American neighborhood.
African-Americans started producing plays with actors of their descent. Several Negro poets emerged describing the life of the African-Americans. Negros became more literate and able when it comes to expressing themselves in the society. They even had their own newspaper known as "The New Negro Movement."
5 6/7-1 1/2
difference?
Answer: 4 5/14
Step-by-step explanation:
Evaluate 2(x-4) + 3x - x2 for x = 3.
O
A. -6
O
B. 2
a
O c. 6
OD. -2
Answer:
D. -2.
Step-by-step explanation:
2(x-4) + 3x - x2 for x = 3
= 2(3-4) + 3(3) - 3^2
= 2(-1) + 9 - 9
= -2 + 9 - 9
= -2.
The circumference of a circle is 43.96 millimeters. What is the circle's radius?
What is the solution to the equation
?
Answer: [tex]x=9[/tex]
Step-by-step explanation:
Alright, lets get started.
[tex]log_{6}4x^2-log_{6}x=2[/tex]
Using the property of logs : [tex]log (m) - log(n)=log\frac{m}{n}[/tex]
[tex]log_{6}\frac{4x^2}{x}=2[/tex]
[tex]log_{6}4x=2[/tex]
Using the property of logs : [tex]if \ log_{a}m=n, \ then \ a^n=m[/tex]
So,
[tex]6^2=4x[/tex]
[tex]4x=36[/tex]
Dividing 4 in both sides
[tex]x=9[/tex] ...................... Answer
Hope it will help :)
Answer:
x = 9
Step-by-step explanation:
Determine the defined range
[tex]log^6 (4x^2) - log^6 (x) = 2, x = (0, + ∞)[/tex]
Use log^a (x) - log^a (y) = log^a (x/y) to simplify the expression
[tex]log6 (\frac{4x^{2} }{x} )= 2[/tex]
Simplify the expression
log^6 (4x) = 2
Convert the logarithm into an exponential form using the fact that log^a (x) = b is equal to x = a^b
[tex]4x=6^{2}[/tex]
Evaluate the power
4x = 36
Divide both sides of the equation by 4
x = 9, x = (0, + ∞)
Check if the solution is the defined range
x = 9
Find the equation of a line with the given points.
(0, -2) (-2, 10)
Oy=-2x + 10
Oy = 4x + 10
Oy=x-2
Oy=-6x - 2
Answer:
y=-6x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(10-(-2))/(-2-0)
m=(10+2)/(-2)
m=12/-2
m=-6
y-y1=m(x-x1)
y-(-2)=-6(x-0)
y+2=-6(x)
y+2=-6x
y=-6x-2
What is (8-2x2) to the power of two equal using pemdas?
Answer
(8-2×2) to the power of 2 is 16
Work: 2×2=4
8-4=4
4 to the power of 2 =16
Answer:
144
Step-by-step explanation:
in pemdas always do parenthesis first so it will be 8-2x2= 144 because
8 - 2= 6 x 2=12²=144Which order pair is not a solution to the equation y = 2x² - 1.
(0, 6)
(3, 17)
(2, 7)
(-1, 1)
Answer:
(0, 6)
Step-by-step explanation:
plug each x in and find the y
Answer:
(0, 6)
Step-by-step explanation:
Evaluate -3x + 5( x +2)
Answer:
Step-by-step explanation:
Answer:
2x+10
Step-by-step explanation:
-3x+5(x+2)
-3*x+5*x+5*2
-3*x+5*x+10
(-3+5)*x+10
(-2)*x+10
2x+10
PLEASE HURRY! ;)
Which statements are true?
A;When triangle ABC is reflected over the y-axis to create triangle A'B'C' , the coordinates for B' are(1, -1) .
B;When triangle ABC is rotated 90 degrees clockwise about point A to create triangle A'B'C' , the coordinates for B' are (3,3]
C When triangle ABC is dilated from the origin by a scale factor of 1\4
to create triangle A'B'C', the coordinates for B'are (4,4)
D When triangle ABC is translated 2 units to the left and 1 unit down to create triangle A'B'C' , the coordinates for B' are (-1, 0)
E When triangle ABC is dilated from the origin by a scale factor of 5 to create triangle A'B'C', the coordinates for B' are (5,5)
The correct answer is: When triangle ABC is translated 2 units to the left and 1 unit down to create triangle A'B'C' , the coordinates for B' are (-1, 0). The true statement is D.
Let's analyze each statement:
A; When triangle ABC is reflected over the y-axis to create triangle A'B'C' , the coordinates for B' are (1, -1) .
To reflect over the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. If the coordinates for B are (x, y), then after reflecting, the x-coordinate becomes -x. Since B has coordinates (1, 1), after reflection, B' will have coordinates (-1, 1). So, statement A is false.
B; When triangle ABC is rotated 90 degrees clockwise about point A to create triangle A'B'C' , the coordinates for B' are (3,3]
Rotation of 90 degrees clockwise about a point involves swapping x and y coordinates and negating the new x-coordinate. The point A is not given, but assuming it's (0, 0), if B has coordinates (x, y), then after rotation, B' will have coordinates (y, -x). If A is (0, 0) and B is (3, 1), after rotation, B' will have coordinates (1, -3), not (3, 3). So, statement B is false.
C; When triangle ABC is dilated from the origin by a scale factor of 1/4 to create triangle A'B'C', the coordinates for B' are (4,4)
Dilating by a scale factor of 1/4 means multiplying each coordinate by 1/4. If B has coordinates (x, y), then after dilation, B' will have coordinates (1/4 * x, 1/4 * y). Since B has coordinates (4, 4), after dilation, B' will have coordinates (1, 1). So, statement C is false.
D; When triangle ABC is translated 2 units to the left and 1 unit down to create triangle A'B'C' , the coordinates for B' are (-1, 0)
Translation involves adding/subtracting values to x and y coordinates. If B has coordinates (x, y), then after translation by (-2, -1), B' will have coordinates (x - 2, y - 1). Since B has coordinates (1, 1), after translation, B' will have coordinates (-1, 0). So, statement D is true.
E; When triangle ABC is dilated from the origin by a scale factor of 5 to create triangle A'B'C', the coordinates for B' are (5,5)
Dilating by a scale factor of 5 means multiplying each coordinate by 5. If B has coordinates (x, y), then after dilation, B' will have coordinates (5 * x, 5 * y). Since B has coordinates (4, 4), after dilation, B' will have coordinates (20, 20), not (5, 5). So, statement E is false.
So, the true statement is D.
Hep me ASAP!!!! A.-2 B.4 C.7-3sqrt3 D.7- sqrt3
Answer:
7 - 3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Given
3 + [tex]\sqrt{x+7}[/tex] - [tex]\sqrt{3x}[/tex] ← substitute x = 9
= 3 + [tex]\sqrt{16}[/tex] - [tex]\sqrt{27}[/tex]
= 3 + 4 - [tex]\sqrt{9(3)}[/tex]
= 7 - 3[tex]\sqrt{3}[/tex]
compare -6/11 -2/3 ^ = ^
Answer:
-40/33
Step-by-step explanation:
Answer:
-6/11 > -2/3
Step-by-step explanation:
6/11 = 18/33
2/3 = 22/33
Since 18/33 < 22/33 then 6/11 < 2/3 then -6/11 > -2/3
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What is the vertical asymptote of the function f(x) = 3 log(x + 3)?
The vertical asymptote of the function f(x) = 3 log(x + 3) is x =
.
The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3
Step-by-step explanation:
A symptote is a line that a curve approaches but never touches
The vertical asymptote of a logarithmic function is at the zero of the argumentf(x) = log(argument) has vertical aymptotes at argument = 0∵ f(x) = 3 ㏒(x + 3)
∵ The argument is (x + 3)
- Equate the argument by zero
∵ x + 3 = 0
- Subtract 3 from both sides
∴ x = -3
- The vertical asymptote of a logarithmic function is at the zero
of the argument
∴ The vertical asympotote of f(x) is x = -3
The vertical asymptote of the function f(x) = 3 log(x + 3) is x = -3
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
#LearnwithBrainly
Answer:
-3
Step-by-step explanation:
plato
-12.11-10.5=75.6-3.5x
Answer:
x = 28.06
Step-by-step explanation:
-12.11-10.5=75.6-3.5x
Put all the integers on one side and X on the other.
-12.11 - 10.5 - 75.5 = -3.5x
-98.21 = -3.5x
-98.21/-3.5 = x
x = 28.06
valuate the xpression 4(10-4) power of 2 devided by 4
Hence, the value of the expression is 36.
Solution:
Step 1: Given expression is [tex]4(10-4)^{2} \div 4[/tex].
BODMAS means do Bracket, Of, Division, Multiplication, Addition, Subtraction
Step 2: Using BODMAS rule first simplify the expression which is in bracket.
⇒ [tex]4(10-4)^{2} \div 4=4(6)^2\div4[/tex]
Step 3: Squaring of the number 6.
⇒ [tex]4(6)^2\div4=4\times36\div4[/tex]
Step 4: Using BODMAS rule, divide 36 by 4.
⇒ [tex]4\times36\div4=4\times9[/tex]
Step 5: Using BODMAS rule, multiply 4 with 9.
⇒ [tex]4\times9=36[/tex]
Hence, the value of the expression is 36.
The information from the settings menu titled "About" for an Apple iPod is given.
About
Songs
3639
Videos
32
Photos
0
Capacity
62.5 GB
Available
35.0 GB
Version
1.1.1
S/N
4H534PG7TY1
Model
MA148LL
Format
Windows
What percent of the memory capacity is still available? Round to the nearest percent. (GB stands for gigabytes.)
Answer:
Step-by-step explanation:
total capacity = 62.5 GB
available capacity = 35.0 GB
35 is what percent of 62.5
35 = x% * 62.5
35 / 62.5 = x%
0.56 = x%
56% = x <=====
56% of the memory capacity is still available.
To calculate the percentage of memory capacity that is still available, we can use the available capacity and total capacity information provided.
Given:
Capacity: 62.5 GB
Available: 35.0 GB
To find the percentage, we divide the available capacity by the total capacity and multiply by 100:
Percentage = (Available / Capacity) x 100
Percentage = (35.0 GB / 62.5 GB) x 100
Percentage ≈ 56%
Therefore, 56% of the memory capacity is still available.
Learn more about Percentage here:
https://brainly.com/question/32197511
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How To Do Question In The Picture?
Answer:
200 = 20
470 47
The number of year 10 students over the total number of students
Will mark brainliest and 12 points
Answer:
the third one
Step-by-step explanation:
hope it helps
Please help me guys with this than you
Answer:theres nothimh here to answer
Step-by-step explanation:
3. At the beginning of the day, a water tank contained 526.8 gallons of water. During the day,
some of the water was used to water a garden. At the end of the day, the water tank contained
318.05 gallons of water.
What was the total amount of water used that day?
a. 202.75 gallons
b. 208.75 gallons
C. 208.85 gallons
d. 210.80 gallons
Answer:
208.85
Step-by-step explanation:
It is 208.85 because when you have .8 + .05 =.85
Answer:
Step-by-step explanation:
the total amount of water used that day = 526.80 - 318.05 = 208.75 gallons.
which inequality represents the graph below ?
8. Mr. Gardner is contemplating which shullle service to take lo the airport. Fost
Shullle charges a $5 pick-up fee and $0.25 per mile. Steady Shullle cholges a $2
pick-up fee and $0.50 per mile.
Part A: When will the two plans cost the same amount
Part B: If the airport is 20 miles away, which company should Mr. Gardner choose?
Answer:
Frosts second mile and steadys 6th mike
Step-by-step explanation:
Part A: The two plans will cost the same amount when the distance to the airport is 12 miles.
Part B: For a 20-mile distance, Mr. Gardner should choose Fost Shuttle, costing $10 compared to $12 for Steady Shuttle.
Let's solve Part A first:
Part A:
Let's denote the distance to the airport as d miles.
For Fost Shuttle:
Cost = Pick-up fee + Cost per mile × Distance
Cost = $5 + $0.25 × d
For Steady Shuttle:
Cost = Pick-up fee + Cost per mile × Distance
Cost = $2 + $0.50 × d
Now, we'll set up an equation to find when the two plans cost the same amount:
[tex]\[5 + 0.25d = 2 + 0.50d\][/tex]
Solving for d:
[tex]\[0.25d - 0.50d = 2 - 5\]\[-0.25d = -3\]\[d = \frac{-3}{-0.25}\]\[d = 12\][/tex]
So, the two plans will cost the same amount when the distance is 12 miles.
For Part B:
Given the distance is 20 miles, let's calculate the cost for each company:
For Fost Shuttle:
Cost = $5 + $0.25 × 20 = $5 + $5 = $10
For Steady Shuttle:
Cost = $2 + $0.50 × 20 = $2 + $10 = $12
Comparing the costs, Mr. Gardner should choose Fost Shuttle as it costs $10 compared to $12 for Steady Shuttle.
what is input
what is output
Step-by-step explanation:
Input:
Input is generally defined as the information that is sent or passed to a computer or the information what is taken. The devices that are used to give or offer such information is know as Input devices.
For example:
We usually use keyboard to type and give a specific data to the computer and hence it can be considered as an Input device.
Output:
Output is generally defined as the source of information that is received or processed by the computer or the information what is given back. The devices that are used to give back such information is know as Output devices.
Example:
Printers takes the input from us,process it and gives back the output in the form of printed sheets,Hence it can be considered as Output device.