Answer:
8.9cm
Step-by-step explanation:
Volume of a cube = L × L × L = L³
710 = L³
L = ³√710
L= 8.9 cm
The length of each side of Cube is 8.9 cm.
What is Volume of Cube?The length is to be multiplied by itself three times to get the volume. The volume is measured in cubic units.
For example, cubic units.
Given:
Volume of a cube is 710 cm.
So, Volume of Cube = l³
710 = l³
l = ∛710
l = ∛ (71 x 10
l = 8.9 cm
Hence, the edge length is 8.9 cm.
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Evaluate [12 -5 x 9] = 3
Answer:
-33.
Step-by-step explanation:
[12 -5 x 9]
= 12 - 45
= -33.
Answer:
-36
Step-by-step explanation:
[12-45]=3
-33=3
-33-3=-36
NO FAKE ANSWERS PLEASE IM BEGGING YOU 40 POINTS!!!!!! PLEEASEEEE HELP!!!!!!!!!!!!!! I already solved half of it pls help on part 4 and down.
YOUR ASSIGNMENT: Desert Temperatures
In this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher.
Temperature in the desert can be modeled by the function C(t), where t represents hours after midnight (0 ≤ t ≤ 24), and C is the temperature measured in degrees Celsius. Examine what happens to the graph when you transform the function to degrees Fahrenheit.
Circle the desert you picked:
Sahara Desert
Patagonian Desert
Death Valley California(I choose this one)
Exploring Degrees Celsius
1. Fill out the following chart to find the temperatures for t = 12 (noon) and t = 24 (midnight). (2 points: 1 point for each row)
t
C(t) = –0.30(t – 12)2 + 40
0
12
C(t) = -0.30 (12 - 12)² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40
24
C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2
2. Plot the three points from the chart onto the graph below. Use the plotted points to sketch the graph of C(t) = –0.30(t – 12)2 + 40. (3 points: 2 points for correct coordinates, 1 point for correct shape)
Convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .
F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104
4. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)
t
0
12
24
5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .
6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)
7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)
Answer:
Part 1
Given equation:
C(t) = -0.30 (t – 12)² + 40
For t = 0
C(t) = -0.30 (0 - 12)² + 40
C(t) = -0.30 (-12)² + 40
C(t) = -3.2
For t = 12 (noon)
C(t) = -0.30 (12 - 12)² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40
For t = 24 (midnight)
C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2
Part 2
attached below
Part 3
C(t) = –0.30(t – 12)² + 40
F(t)=9/5C(t)+32
Substituting the values:
F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104
5, 6 and 7, should be simplish
good luck, i hope this helps :)
Step-by-step explanation:
There were x cupcakes at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cupcakes that were left.
Answer: x - 16
Step-by-step explanation:
Since there were x cupcakes at the beginning of a party and at the end of the party, 16 of them had been eaten, the expression for the number of cupcakes that were left will be gotten by subtracting the number of cupcake that have been eaten from the cupcakes at the beginning. This will be:
= x - 16
For example, if there were 20 cupcakes at the beginning and 16 was eaten, the number left will be:
= x - 16
= 20 - 16.
= 4
There'll be 4 left
A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were used to water the plants?
Answer:
2044 cups
Step-by-step explanation:
number of cups left = number of cups in the watering can - number of cups remaining
convert the capacity of the watering can to cups
1 quart = 4 cups
512 x 4 = 2048
2048 - 4 = 2044
2. The fabric wall hanging has an area of
112 square feet. The width is 8 feet.
What is the length?
Answer:
length = 14 feet
Step-by-step explanation:
112/8 = 14 feet
Answer:
14
Step-by-step explanation:
well we already can tell the no number under 10 will be eligible
so lets keep going
11, no it would only make 88,
12=96
13=104
14=112
the answer is 14
There are 5 green skittles, 4 orange skittles, and 3 red Skittles in a bag. What is the probability of red Skittle, Not replacing it (eating it), then picking a green skittle?
Answer:
3/12
Step-by-step explanation:
the entire bag has 12 skittles. there are only 3 red. This gives a fraction of red skittles/entire bag in order to get the probability. So this would be 3/12 in this most basic sense? I am not sure if you need to go further than this or not. Hope this helps!
Due tonight.. *no links*
Answer:
angle z= 96°
angle x = 33
I hope it's helps you
Answer:
z = 96
x = 33
Step-by-step explanation:
Given that g and h are parallel, we can assume that 84 and z will be equal to 180.
[tex]84 + z=180\\z= 96[/tex]
Then we make the , simple algebra work!
[tex]96 = 6x - 102\\198 = 6x\\x = 33[/tex]
It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.
Please help me! Thank you!
1) ABC is a right-angled triangle.
AB = 50 cm.
Angle ABC= 24°
Work out the length of BC.
Give your answer correct to 1 decimal place.
Answer:
112.3
Step-by-step explanation:
Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year
F. $1,680.00
G. $46.67
H. $466.67
J. $168.00
Please help ASAP
Answer:
$1,680 - F
Step-by-step explanation:
You do 2800 x 0.6 in ur calculator which is 1680..
NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.which of the following expressions are equivalent to the value of -6
A. 0-6
B.0-(-6)
c. 12-18
d. -7 - (-1)
E. -3 - 9
will mark brainlist
Answer:
the answer is 12-18
it's because 12 can't go in 18
so we minus 18 from 12 which is 6
Then we add the minus sign
Find the probability that a student is not playing a sport or not taking a foreign
language using the Venn Diagram below.
Answer:
18/25
Step-by-step explanation:
Total number of students = 23+14+10+3 = 50.
14 out of 50 are playing sport and taking a foreign language.
So the answer is (50 - 14) / 50
= 36/50
= 18/25.
=========================================================
Explanation:
The wording your teacher provided is a bit strange in my opinion. Though I think they are referring to the people who aren't taking both classes at the same time, but they could be taking exactly one class.
We have 23+14+10+3 = 50 students total and 14 of them are taking both classes. So 50-14 = 36 students are taking exactly one class, or they are taking neither of the classes.
This leads to a probability of 36/50 = (2*18)/(2*25) = 18/25 which points to choice B as the answer.
------------------
Side note:
If it asked "what is the probability that a student is not taking a sport AND not taking a foreign language?", then the probability would be 3/50 because there are 3 people not taking either class out of the 50 total. So the keyword "and" is the change made here, instead of the "or".
Select the correct answer from each drop-down menu.
The table shows the number of games a chess player won in professional competitions, based on the number of games played.
Games Played (x) 10 15 20 25 30
Games Won (y) 4 10 16 21 25
The line of best fit for the situation is
___.
If the chess player plays 40 games in the next competition, the expected number of games won would be approximately __.
???
Answer:
36 games won ...............
Answer:
y=1.06x-6
36
Step-by-step explanation:
What is the measurement of XZ?
Answer:
Step-by-step explanation:
Here we can see
Arc YZ = Arc XZ
So we know that equal arcs form equal chords , Then
Chord YZ = Chord XZ
8x - 5 = 6x + 10
8x - 6x = 10 + 5
2x = 15
x = 7.5
hope it helps :0
Help me please please please please
pi is 3.15 so I think its pi time radius to get the area which is 3.15 times 9. that equals to 28.35
Mhanifa please help!!!!!! Please please
Answer:
#7
Ratio of corresponding sides (determined by opposite angles)
28/35 = 4/520/25 = 4/512.4/15.5 = 4/5The ratios are equal, the polygons are similar
# no number
Ratios:
5/15 = 1/37/21 = 1/3Yes, similar
# 8
The triangles are isosceles.
The ratios of bases and sides:
8/12 = 2/35/7.5 = 2/3B. ABC ~ MNO, SSS
Hi guys please help me out I would appreciate it thank you so much
Answer:
D) Angle VUX
Step-by-step explanation:
please help!!! will mark brainliest
Answer:
x = 15Step-by-step explanation:
Since the quadrilateral is inscribed into circle, its opposite angles are supplementary:
m∠H + m∠K = 180°Substitute the values and solve for x:
5x - 22 + 8x + 7 = 18013x - 15 = 18013x = 195x = 195/13x = 15Answer:
Solution ::According to the property of Cyclic Quadrilateral
5x - 22 + 8x + 7 = 180
(5x + 8x) - (22 - 7) = 180
13x - 15 = 180
13x = 180 + 15
13x = 195
x = 195/13
x = 15
[tex] \\ [/tex]
The length of a rectangle is 15cm more than its width and perimeter is 150cm. Find the length and width of the rectangle.
Pls help as I'm preparing for my exams
Answer:
Hope this helps you..
Brainliest plsssss
All the Best for your exams
Step-by-step explanation:
let the breadth=x
the length =x+15
given perimeter= 150
Perimeter of rectangle = 2x(l+b)
150 = 2( x+ x+15)
75 = 2x +15
60 = 2x
30=x
therefore breadth = 30 cm
length = 30 +15 = 45 cm
Verification:
150 = 2( 45+30)
150 = 2(75)
150 = 150
LHS=RHS
Hence, proved..
Answer:
Step-by-step explanation:
Let the breadth(b) be x . Then by the question
Length (L) = ( x + 15 )cm
Perimeter = 150 cm
or 2( L + b) = 150
2 ( x + 15 + x ) = 150
2x + 15 = 75
2x = 75 - 15
2x = 60
x = 30 cm
Therefore breadth or width is 30 cm
Similarly
Length = 30 + 15 = 45
hope it helps :)
will give brainliest for 5marks
Answer:
$230Step-by-step explanation:
Work hours Monday till Friday:
3.5 + 5 + 2.5 + 4 + 2 = 18 hoursPayment for 5 days:
15*$8 + (18 - 15)*$10 = $150Payment for Saturday:
5*2*$8 = $80Total payment:
$150 + $80 = $230Answer:
$ 230 is the answer.
Step-by-step explanation:
_ _ _ _ _ _ _ _ _ _ _ _ ____________________ CarryOnLearning8-50. What is the area of a regular decagon if the length of each side is 20 units? Show all your work.
Answer:
3077.68
Step-by-step explanation:
the Area of the regular decagon is 3077.68
The area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -
V = ∫∫F(x, y) dx dy
Given is a regular decagon with length of each side is 20 units
The area of the regular decagon is -
A = (5/2)a²√(5 + 2√5)
We have {a} = 20. So, we can write that -
A = (5/2)(20)²√(5 + 2√5)
A = (5/2) x 400 x √(5 + 2√5)
A = 5 x 200 x √(5 + 2√5)
A = 1000√(5 + 2√5)
Therefore, the area of the decagon with side length of 20 units is -
A = 1000√(5 + 2√5) square units.
To solve more questions on areas, visit the link-
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a. Find the value of x from given figure
A square sticky note has sides that are 7 centimeters long. What is the sticky note's area?
Answer:
side- 7
area of square - side x side
7 x 7 - 49² cm
square - all sides are the same length
area - length * width
7 * 7 = 49
49 cm^2Three students wrote a relationship between decimal, fraction, and percent's. Which of the students wrote an equivalent relationship? Lori wrote: 75% = 3/5 Talisha wrote: 0.05 = 50% Shannon wrote: 3/8 = 0.375
Answer:tyeydStep-by-step dh:
ghe
Solve for x if:
y = 30
x = y
- + 20
3
A) 25
B) 40
C) 50
D) 30
Answer:
30?
Step-by-step explanation:
If y is 30 and x = y. Then wouldn't x be 30 HOWEVER I'm unsure what the other part of the equation is.
Which expression is equivalent to
7
x
+
4
x
2
−
5
x
?
Answer:
2x + 8
Step-by-step explanation:
7x + 4 × 2 - 5x
7x + 8 - 5x
2x + 8
The perimeter of ABCD is 26 cm
The area of PQRS is 45 cm(squares)
Find the length of AB
1/16+1/32+1/64+1/128
Answer:
0.221354166667
Step-by-step explanation:
5x - y = -7
X + y = -5
Answer:
x = -2
y = -3
Step-by-step explanation:
5x - y = -7
x + y = -5
6x = -12
x = -2
x + y = -5
-2 + y = -5
y = -5 + 2
y = -3
Answer:
(-2,-3)
Step-by-step explanation:
x + y = -5
y = -x - 5
5x - (-x - 5) = -7
5x + x + 5 = -7
6x = -12
x = -2
x + y = -5
-2 + y = -5
y = -3
2y - 6 = 2
What value of y makes the following true
Answer:
y = 4
Step-by-step explanation:
2y - 6 = 2
add 6 to each side of the equation:
2y = 8
divide both sides by 2:
y = 4