Answer:
61 cubic meters
Step-by-step explanation:
1) Find the volume of the cube where s=4
1a) V= s*s*s
1b) Insert in side length
V=4*4*4
1c) solve
V=64 cubic meters
2) Find volume of 2nd cube by repeating same steps where s=5
2a) V=125 cubic meters
3) Subtract to find difference
3a) 125-64
3b) Solve: 61 cubic meters
Answer:
The cube with meters length of 5 s a bigger mass if the width of both cubes are the same
Step-by-step explanation:
A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -16+ + 35t + 5, where h is the height of the basketball at t seconds. What's
the height of the basketball at 1.5 seconds?
18.8 feet
21.5 feet
16.7 feet
1
20.2 feet
Answer:
21.5
Step-by-step explanation:
h(t) = -16t^2 + 35t + 5,
Let t = 1.5
h(1.5) = -16 (1.5)^2 + 35(1.5) + 5
=-16 *2.25 +52.5+5
= -36+57.5
= 21.5
How far would she have walked if she kept the same pace?
Mathematics, probability and chance Can somebody help me, I always thank and vote
Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: A. BC B. DA C. BA D. CD
Answer:
Side DA
Step-by-step explanation:
The point A has coordinates of (-2,6) and the point D has coordinates of (-2,-4). Since both points have the same x-coordinate, we can subtract point A's y-coordinate from point D's y-coordinate.
6 - ( -4) = 10 (Basically adding 4 to six since the 2 minus signs make a plus sign)
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
The side of the quadrilateral ABCD has a length equal to 10 is AD.
What is distance?Distance is the amount of space between two points. The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of vertex A = (-2, 6) while for D is D(-2, -4). Hence:
[tex]AD=\sqrt{(-4-6)^2+(-2-(-2))^2}=10\ units[/tex]
The side of the quadrilateral ABCD has a length equal to 10 is AD.
Find out more on distance at: https://brainly.com/question/17273444
Describe the end behavior of the graph of f(x) = x^3 (x + 3)(-5x + 1) using limits.
Answer: Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.
4(3r+2)-3r= -10? need help thanks
Answer: -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Help please will give brainliest
Answer:
18.
a) 6k + 2y
b) 2x^2 + 2x
c) 16h
19. 4.5 cm
20.
a) x > 4.5
b) x >= 32
Step-by-step explanation:
Sally invested some money at 15 % interest. Sally also invested $172 more than 3 times that amount at
14%. How much is invested at each rate if Sally receives $1398.35 in interest after one year? (Round to
two decimal places if necessary.)
Answer:
Amount at 15%=$2,411
Amount at 14%=$7,405
Step-by-step explanation:
let
x= the amount at 15% rate.
y=amount at 14% rate
y= x times 3 plus $172
y= 3x + $172 (1)
x times 15% plus y times 14% equals a return of $1,398.35 after one year
0.15x + 0.14y= $1,398.35 (2)
Recall,
y= 3x + $172
Substitute (1) into (2)
0.15x + 0.14y= $1,398.35
0.15x + 0.14(3x+172)=1398.35
0.15x + 0.42x + 24.08=1398.35
Collect like terms
0.15x + 0.42x=1398.35 - 24.08
0.57x=1374.27
Divide both sides by 0.57
x=2,411
x=$2,411
Find y
y= 3x + $172
=3(2,411) + 172
=7,233+172
=7,405
y=$7,405
Amount at 15%=$2,411
Amount at 14%=$7,405
Check:
$2,411*0.15=$361.65
$7,405*0.14=$1036.70
Total=$361.65 + $1036.70
=$1,398.35
can someone explain how to do this please
Answer:
2/5 [tex]cm^2[/tex]
Step-by-step explanation:
To find the area of a rectangle do A = bh
When you substitute 4/6 for base and 3/5 for height it will be A = 4/6 x 3/5
This means the area is 2/5
Answer:
2/5 cm^2
Step-by-step explanation:
The area of a rectangle is found by
A = l*w
A = 4/6 * 3/5
Rewriting
=4/5 * 3/6
= 4/5 *1/2
= 2/5 cm^2
Plz help I’ll mark brainliest
Answer:
Step-by-step explanation:
Using Pythagoras Theorem, hypotenuse = 5
[tex]h = \sqrt{a^{2}+ b^{2}[/tex]
[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]
sin x = height / hypotenuse = 3 / 5
cos y = base / hypotenuse = 3 / 5
sin x = cos y = 3 / 5
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.
Which is the coldest temperature? Explain how you determined this using the number line.
Which is the warmest temperature? Explain how you determined this using the number line.
Part 2: Weather Report
Use the information from the analysis and develop a weather report. You can develop a flyer or make a presentation, video or audio recording of yourself, or script. Use your creativity! Make sure to include the information from all six questions.
we need a picture of the weather data
Solve the system of equations 2x - y = 11 and x + 3y = -5
Answer:
x = 4, y = -3
Step-by-step explanation:
{2x - y = 11
{x + 3y = -5
You can use the substitution method by solving for x in the second equation:
x + 3y = -5
Subtract 3y from both sides:
x = -3y - 5
Now, substitute this value for x into the first equation:
2x - y = 11
2(-3y - 5) - y = 11
Distribute:
-6y - 10 - y = 11
Add 10 to both sides:
-6y - y = 21
Combine like terms:
-7y = 21
Divide both sides by -7:
y = -3
Next, substitute this value for x into the second equation:
x + 3y = -5
x + 3(-3) = -5
Multiply:
x - 9 = -5
Add 9 to both sides:
x = 4
Answer:
(7, 3)
Step-by-step explanation:
2x - y =11 2x-y =11
-2(x+3y)= (-5)-2 -2x-6y= 10
Then you will cross out the x, and add.
-7y =21 divide 7
y=-21/7 or y=3
Then you plug in the y where the y is and solve
2x-(3) = 11
2x = 14
x=7
Please help me on this question
Answer:
The area can be expressed as: [tex]\pi r^2+lw[/tex].
We have l=10, because 18-2(4)
We have w=8, as given.
Thus, the rectangle area is 80.
There are two semicircles, but they add to form a full circle, which makes things a lot easier. We have the circle area formula, and substituting the values gives us 50.24 as the circle volume
80+50.24=130.24.
Rounded to 1 decimal place that is 130.2
Hope this helps :)
Which table shows a proportional relationship between a and b?
ОА.
b
3
9
4
12
5
20
B.
Qu
b
20
25
24
30
32
40
ОС.
a
b
4
12
un
15
6
24
D.
a
b
Answer: A, B and, C are incorrect, what is D?
Step-by-step explanation:
A vending machine accepted any combination of nickels, dimes, and quarters that added to $0.40. How many different combinations of coins were possible?
Answer: 1 quarter, 1 dime and 1 nickel.
Step-by-step explanation:
Quarter: 25 cents.
Dime: 10 cents
Nickel: 5 cents
25 + 10 = 35
35 + 5 = 40
Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.
does the following table shows a proportional relationship between the variables g & h
*the table being referred to is attached below
Answer:
The table does not show a proportional relationship between variable g and h.
Step-by-step explanation:
For a proportional relationship to exist between two variables, there must be a constant, of which serves like a unit rate, when comparing two variables.
Thus, in the table attached below, there is no obvious constant of proportionality between variable g and variable h.
Thus, [tex] \frac{9}{3} [/tex] ≠ [tex] \frac{36}{6} [/tex] ≠ [tex] \frac{81}{9} [/tex]
Solve for x: x - 15 = -30
Answer:
x = -15
Step-by-step explanation:
x - 15 = -30
add 15 to both sides
x = -15
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was
released. The average rate of change in Td) for the interval d = 4 and d = 10 is 0. Which statement must be true?
O The same number of tickets was sold on the fourth day and tenth day.
O No tickets were sold on the fourth day and tenth day.
O Fewer tickets were sold on the fourth day than on the tenth day.
O More tickets were sold on the fourth day than on the tenth day.
Answer: The same number of tickets was sold on the fourth day and tenth day.
Step-by-step explanation:
Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.
If average rate of change in T(d) for the interval d = 4 and d = 10 is is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.
Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."
The correct option is (A).The same number of tickets was sold on the fourth day and tenth day.
Given,
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The Average rate of change in T(d) for the interval d = 4 and d = 10 is 0.
We have to find which statement is true.
Since the average rate of change in T(d) for the interval d = 4 and d = 10 is 0, it means nothing has been changed in the number of tickets sold on day 4 and day 10 after the film release.
Hence, the correct statement is The same number of tickets was sold on the fourth day and tenth day.
Thus The correct option is A.
For more details follow the link:
https://brainly.com/question/8011401
please help me find the nth term of this sequence 0, 3, 8, 15, 24
Answer:
80
Step-by-step explanation:
0, 3, 8, 15, 24, 35, 48, 63, 80 which is the nth term
first step you have to find how many steps the sequence was going with.
examples= from 0 to 3 the steps were 3
=from 3 to 8 the steps were 5
= from 8 to 15 the steps were 7
you will recognize that the steps the sequence is going with is odd numbers.
so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.
Answer:
80
Step-by-step explanation:
Drag each object to show whether distance is proportional to time in the situation represented.
Answer: please find the answer in the explanation.
Step-by-step explanation:
1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.
2.) A person running down a field to score a touchdown. Not enough information.
3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.
4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.
5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.
6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.
Jovie is maintaining a camp fire. She has kept the fire steadily burning for 10 hours with 15 logs. She wants to know how many hours (h)left parenthesis, h, right parenthesis she could have kept the fire going with 9 logs. She assumes all logs are the same.
Answer:
6 hours
Step-by-step explanation:
We can use ratios to solve
10 hours x hours
-------------- = -------------
15 logs 9 logs
Using cross products
90 = 15x
Divide by 15
90/15 = 15x/15
6 = x
6 hours
Answer:
Below
Step-by-step explanation:
Jovie has maintained the fire burning with 15 logs for 10 hours.
● 15 => 10
Let's find how many hours do 9 logs keep the fire burning.
Let x be that time
● 9 => x
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 15 => 10
● 9 => x
● 15 * x = 9×10
● 15x = 90
● x = 90/15
● x = 6
So the time that the fire will keep burning is 6 hours.
COME ON!! What’s the answer 53 points!
Answer:
X : -6, 3, 15, -12
Y : 11, 5, -3, 15
Step-by-step explanation:
Hey there!
To find the y values we need to plug the x values into th given equation,
y = -2/3x + 7
-6 ⇒ 11
15 ⇒ -3
Now we have a x value missing to that that we work backwards,
we plug in 15 for y in the given equation,
15 ⇒-12
Hope this helps :)
Step-by-step explanation:
[tex]y = - \frac{2}{3} x + 7[/tex]
Substituting the values of x into the expression we have
For x = - 6[tex]y = - \frac{2 }{3} ( - 6) + 7[/tex]
y = 11 For y = 5Make x the subject
[tex]5 = - \frac{2}{3} x + 7[/tex]
Multiply through by 3
15 = - 2x + 21
-2x = 15 - 21
- 2x = - 6
Divide both sides by - 2
x = 3For x = 15[tex]y = - \frac{2}{3} (15) + 7[/tex]
y = - 10 + 7
y = - 3For y = 15[tex]15 = - \frac{2}{3} x + 7[/tex]
Multiply through by 3
45 = - 2x + 21
- 2x = 45 - 21
- 2x = 24
Divide both sides by - 2
x = - 12Hope this helps you
Plz answer I’ll mark brainliest
Answer: B
Step-by-step explanation:
Any inscribed quadrilateral (quadrilateral in a circle) has opposite angles that add up to 180 degrees.
So looking at he picture we can see that, (x+16) + (6x-4) = 180.
So your answer is B.
Answer:
Hey There!! The answer to this is B: angle P + angle R = 180
angle O + angle Q = 180
Here, they are only interested in R, therefore the first equation will be enough to solve for R.
angle P + angle R = 180
y + (3y + 8) = 180
We need to solve for y, so put that y value in (3y + 8) to find angle R.
y + (3y + 8) = 180
y + 3y + 8 = 180
We add the y terms: 4y + 8 = 180
Subtract 8 from both sides: 4y = 180-8 = 172
Divide both sides by 4
y = 172/4 = 43
Angle R = 3y + 8
Put y = 43 and calculate R.
R = 3(43) + 8
R = 137
Therefore, the measure of angle R is B:
Hope It Helped!~ ♡
ItsNobody~ ☆
What is the area of a regular hexagon with perimeter 24? A) 8sqrt3 B) 12sqrt3 C) 16sqrt3 D) 24sqrt3
Answer: C) 16
Step-by-step explanation:
A Hexagon has 6 Sides and Since the perimeter is 24, each side has a length of 4.
4 * 4 = 16
Find the interquartile range for a data set having the five-number summary: 3.5, 12, 19.1, 25.8, 31.8 A. 28.3 B. 13.8 C. 15.6 D. 12.7
Answer:
B. 13.8
Step-by-step explanation:
The five-number summary consists of five items which is usually displayed on a box plot, and can be represented in ascending order.
The five-number summary given: 3.5, 12, 19.1, 25.8, 31.8, represents the following in ascending order:
1. The minimum value = 3.5
2. First quartile (Q1) = 12
3. The median = 19.1
4. Third quartile (Q3) = 25.8
5. The maximum value = 31.8
The interquartile range = Q3 - Q1
Therefore, the interquartile range of the data = 25.8 - 12 = 13.8
determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 3x-4y=-5 8x+6y=-5 show full work please and thank you
Question no. e. and f. please help me !!!!!
Answer: see proofs below
Step-by-step explanation:
Proofs are like a puzzle that you have to unravel.
You can manipulate the left side to get the right side (LHS → RHS)
or
You can manipulate the right side to get the left side (RHS → LHS)
You will need to use Pythagorean Identities, Sum and Difference Identities, and/or Double Angle Identities when manipulating one of the sides.
Use the following Identities:
cos 2A = cos²A - sin²A
sin 2A = 2 cosA · sinA Note that A can be substituted with 2A
sin 3A = 3 sinA - 4sin³A
cos 3A = 4cos³A - 3cosA
***********************************************************************************
e) Prove: 4 sin A · cos³A - 4 cos A · sin³A = sin(4A)
LHS → RHS
Given: 4 sin A · cos³A - 4 cos A · sin³A
Factor: 4 sin A · cos x (cos²A - sin²A)
2(2 sin A · cos A)(cos²A - sin²A)
Double Angle Identity: 2(sin 2·A)(cos 2·A)
2 sin (2A) · cos (2A)
Double Angle Identity: sin (2·2A)
sin 4A
Proven: sin 4A = sin 4A [tex]\checkmark[/tex]
*****************************************************************************************
f) Prove: 4 sin³A · cos 3A + 4 cos³A · sin 3A = 3 sin(4A)
LHS → RHS
Given: 4 sin³A · cos 3A + 4 cos³A · sin 3A
Triple Angle Identity: 4sin³A (4cos³A - 3 cosA) + 4cos³A (3sinA - 4sin³A)
Expand: 16sin³A · cos³A - 12sin³A · cosA + 12cos³A · sinA - 16sin³A · cos³A
Simplify: 12cos³A · sinA - 12sin³A · cosA
Expand: 6cos²A(2cosA · sinA) - 6sin²A(2cosA · sinA)
Double Angle Identity: 6cos²A(sin 2A) - 6sin²A(sin 2A)
Factor: 6sin 2A (cos²A - sin²A)
Double Angle Identity: 6sin 2A (cos 2A)
3(2sin 2A · cos 2A)
Simplify: 3sin (2·2A)
3 sin 4A
Proven: 3sin 4A = 3sin4A [tex]\checkmark[/tex]
Select the correct answer.
Simplify.
V96
Answer:
[tex]4 \sqrt{6}[/tex]
Step-by-step explanation:
The question is not properly presented and has mission options; however, the solution is as follows
Given
[tex]\sqrt{96}[/tex]
Required
Simplify
[tex]\sqrt{96}[/tex]
Start by expanding
[tex]\sqrt{16 * 6}[/tex]
The expression can be split to:
[tex]\sqrt{16} * \sqrt{6}[/tex]
Take positive square root of 16
[tex]4 * \sqrt{6}[/tex]
[tex]4 \sqrt{6}[/tex]
The expression cannot be further simplified
If a triangle has two of its shorter sides measuring 7 and 12, what is a possible length of the longest side of the triangle to make it acute?
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
How to do 18b ? pls explain too thanks
Answer:
m² + 9n² + 4m - 12n - 6mn + 4
Step-by-step explanation:
18b
(2+m-3n)² = (2+m-3n)(2+m-3n)
= 2*2 + 2*m + 2*-3n + m*2 + m*m + m*-3n - 3n*2 -3n*m - 3n*-3n
= 4 + 2m - 6n + 2m + m² - 3mn - 6n - 3mn + 9n²
= m² + 9n² + 2m + 2m - 6n - 6n - 3mn - 3mn + 4
= m² + 9n² + 4m - 12n - 6mn + 4
Answer:
(2+m-3n)(2+m-3n)
Step-by-step explanation:
Here's solution:
(2+m-3n)(2+m-3n)
4 + 2m - 6n + 2m + m^2 - 3mn - 6n - 3mn + 9n^2
4 + 4m - 12n + m^2 - 9mn + 9n^2
I hope this is right, I'm a bit tired.
Hope this helps, and have a good day :)!
