As we know :
[tex] \boxed{ \boxed{ {(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) }}[/tex]now let's plug the value of given terms :
(5)³ = a³ + b³ + (3×3)(5)125 = a³ + b³ + 45a³ + b³ = 125 - 45 a³ + b³ = 80Answer:
babawi lang sana
Step-by-step explanation:
naul pi
There are 95 students on a field
trip and 19 students on each bus.
How many buses of students are
there on the field trip?
Answer:
the answer is 5
Step-by-step explanation:
do 95 / 19 it will be 5 and do 19 x 5 it will be 95
help i need itbdbdbdbsb
Answer:
find the area of each figure fine your answer on the answer sheet and use
Step-by-step explanation:
fine the area of each figure find the area of each figure
Your travel guide contains a grid map of London, with each unit on the grid representing 0.5 kilometers. If Buckingham Palace is located at (−2,2) and St. Paul's Cathedral is located at (−2,−3), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in kilometers? Round your answer to two decimal places, if necessary.
Answer:
5.00
Step-by-step explanation:
The direct distance between Buckingham Palace and St. Paul's Cathedral is 5 kilometers.
Given the coordinates of Buckingham Palace as (-2, 2) and St. Paul's Cathedral as (-2, -3).
To find the direct distance between two points on a grid, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula in a 2-dimensional Cartesian plane is:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
We can calculate the distance between them as follows:
x₁ = -2, y₁ = 2 (Coordinates of Buckingham Palace)
x₂ = -2, y₂ = -3 (Coordinates of St. Paul's Cathedral)
Distance = √((-2 - (-2))² + (-3 - 2)²)
= √(0² + (-5)²)
= √(0 + 25)
= √25
= 5 kilometers
So, the distance is 5 kilometers.
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What is the missing reason for the 5th step in the proof below?
A: Substitution
B: Simplification of equation from previous step
C: Definition of linear pair
D: Definition of complementary angles
Answer: B
Step-by-step explanation:
Given: sin theta=2/3 and is in the second quadrant; evaluate the following expression. sin 2 theta
Answer:The answer to your question is 3. 0
Step-by-step explanation:
Process
1.- Find the cos a
Opposite side = 5
Hypotenuse = 13
Adjacent side = ?
Adjacent side² = 13² - 5²
= 169 - 25
= 144
Adjacent side = 12
cos a = 12/13
2.- Find the sin b
sin b = 5/13
3.- Use the formula below to find sin(a + b)
sin (a + b) = sina cosb + sin b cos a
- Substitution
sin (a + b) = (5/13)((-12/13) + (5/13)/12/13)
- Simplification
sin (a + b) = -60/169 + 60/13
- Result
sin(a + b) = 0
Step-by-step explanation:
What is the difference of 18 - 10 2/8 ?
Answer:
7 3/4
Step-by-step explanation:
[tex]18 - 10\frac{2}{4}[/tex] [tex]18 - 10\frac{1}{4}[/tex] [tex]18 - \frac{41}{4}[/tex] [tex]\frac{72}{4} - \frac{41}{4}[/tex] [tex]\frac{31}{4}[/tex] [tex]7\frac{3}{4}[/tex]Guided Practice
A line passes through the given points. Write an equation for the line in point-slope form. Then rewrite the equation in slope-intercept form.
(3, –8), (–2, 5)
A.
y+8= 13/5 ( x−3 ); y= 13/5 x− 1 5
B.
y−8=− 13/5 ( x+3 ); y=− 13/5 x+ 1 5
C.
y+8=− 13/5 ( x−3 ); y=− 13/5 x− 1 5
Answer:
Step-by-step explanation:
Write in slope-intercept form,
y = m x + b .
y = − 13 /5 x − 1 /5
can I take a picture of my math problem
Answer:
You press the camera icon when asking a question
Step-by-step explanation:
A submarine dives 155 meters below sea level and then rises 117 meters. What is the new location of the submarine?
Answer:
38 meters below sea level.
Step-by-step explanation:
if the sub dives 155 BELOW sea level, this equals -155.
then it RISES 117 meters, which equals +117.
we can make this into an equation
-155+117=-38!
the location of the sub is 38 meters below sea level.
A group of friends paid a total of 50.24 for tickets to the museum each friend pay the same amount for a ticket how much did each friend pay for a ticket to the museum
Answer:
50.24 ÷ number of people
Step-by-step explanation:
When you divide the total cost by the number of people there are, you will get the amount of money each person paid. Hope this helps!
Pepe’s Pizza makes 26 pizza crusts the first week and 180 pizza crusts each subsequent week. Dianne’s Delicatessen makes 52 pizza crusts the first week and 167 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by Pepe’s Pizza be the same as the number of pizza crusts made by Dianne’s Delicatessen? Explain and show work to support your answer.
Answer: the total number of pizza crusts made by Pep's Pizza
equals twice the total number of pizza crusts
made by Dianne's Delicatessen when:
+52+%2B+180n+=+2%2A%28+26+%2B+90n+%29+
+52+%2B+180n+=+52+%2B+180n+
This equation is satisfied for any value of +n+,
so Pepe's always makes twice as much as Dianne's
Step-by-step explanation:
A salesman earned of sale of 10,500 and his commission rate is 5%.what is the commission of the salesman?
Answer:
$525
Step-by-step explanation:
To find the commision of the salesman, multiply the (commission rate over 100) by the sale amount.
Commission rate: 5%, so 5/100 = 0.05
then, 0.05*10500 = $525
I need help with this question, please?
Solving for x
g= x - c + y for x
Answer:
x= g+c-y
Step-by-step explanation:
add c to both sides
subtract y to both sides
leaves x all by itself on one side of the equation.
Hello can someone help me please and thank you
Answer:
a
Step-by-step explanation:
How do you write 54.039
Answer:
word form: fifty-four and thirty-nine thousandths.
Step-by-step explanation:
hope it helps
mark me brainliest pls
The perimeter of a rectangle is 84cm.
Its shortest side has a length of 3cm.
State the length of the longest side.
Answer:
39 cm
Step-by-step explanation:
The perimeter of a rectangle is given as 2 (w + l) or 2w + 2l, where w and l are the sides.
Let us use w as 3 cm.
The perimeter of the rectangle is 2(3) + 2l = 6 + 2l
6 + 2l = 84 cm
We move the 6 to the left hand side and it goes from positive to negative.
2l = 84 - 6cm
2l = 78 cm
Divide both sides by 2.
l = 39 cm
There you have the answer for side l.
Hope this helps.
he owner of a coffee shop collected receipts from all orders placed during a one-hour period. For each receipt, the owner recorded the payment method used and if the receipt was $25 or less or more than $25. The following table shows the requencies of the results.
Payment
Cash Credit/Debit Phone App Total Receipt of $25 or less 15 25 17
Receipt of more than $25 23 37 28
Total 145
What is the probability that a receipt that is to be selected at random from those collected during the one-hour period was
paid using a phone app, given that the receipt totaled more than $25?
Enter your answer as a value between 0 and 1 rounded to two decimal places. Points A,
Answer:
56
Step-by-step explanation:
The probability of selecting a receipt of more than $25 is 0.33.
What is a probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
For the given situation,
The amount on receipts in $, S= { 15,25,17,23,37,28 }
⇒ [tex]n(s) = 6[/tex]
The amounts are grouped as more than $25 and less than $25.
The event is the amount on receipt more than $25, [tex]e = (28,37)[/tex]
⇒ [tex]n(e)=2[/tex]
The formula to find the probability of an event,
[tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)= \frac{2}{6}[/tex]
⇒ [tex]P(e)=\frac{1}{3}[/tex]
⇒ [tex]P(e)=0.33[/tex]
Hence we can conclude that the probability of selecting the receipt of more than $25 is 0.33.
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pls do the assignment for me I will give brainiest just upload and do the work for me
Answer:
lazyyyy
Step-by-step explanation:
Brust takes his cut (one-fourth) of the Algebros profit from selling fidget spinners to the store and bought 10 donuts for $12. He came home with more than $3.00.
a.) Write an inequality that represents the situation and use it to find out how much money the Algebros had made from selling fidget spinners. Make sure you define your variables.
(Thank you so much if you help me! I will mark you brainliest and give thanks)
Answer:
Step-by-step explanation:
D = Donuts
B = Brust cut
P = Profit
B - 12D = $3
12D = $12 a donut, used $3 since it didnt say more than 3.
Plug it in
B - 12(10) = $3
B - 120 = 3
+120 +120
B= $123
If Brust had 1/4 of the profit, do 4B to find profit
4B = P
4(123) = P
P = $492
Algebros made $492 selling fidget spinners.
The minimum possible profit for Algebros would be $60
What is the general equation of a Straight line inequality?An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value. The general equation of a straight line inequality is -
[y] < [m]x + [c]
[y] > [m]x + [c]
[y] ≥ [m]x + [c]
[y] ≤ [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line inequality can be also written as -
Ax + By + C > 0
By > - Ax - C
y > (- A/B)x - (C/A)
Given is Brust who took his cut (one-fourth) of the Algebros profit from selling fidget spinners to the store and bought 10 donuts for $12. He came home with more than $3.00.
Assume that Algebros had made $x profit. Then, we can write the inequality as -
x/4 - 12 > 3
On solving, we get -
x/4 > 15
x > 60
Therefore, the minimum possible profit for Algebros would be $60
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An elevator was at floor24. It was down 6 floors, up 10 floors, and then down 8 floors. At what floor did it stop?
In the figure below, mZ1=2x° and m2 = (x + 42).
Find the angle measures.
2
m2 1 - 1
Х
$
m2 = 1
Answer:
[tex]2x + x + 42 = 90\degree \\ 3x = 48 \\ x = \frac{48}{3} = 16 \\ m \angle1 = 2(16) = 32\degree \\ m\angle2 = 16 + 42 = 58\degree \\ or \\ m\angle2 =90 - m\angle1 =90 - 32 = 58 \degree[/tex]
can someone plz help with this I'll mark brainliest
Answer:
the answer to your question is B.4
In the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5). Which is the equation of the line? A) y = 1 2 x + 3 B) y = 2x + 3 C) y = 1 2 x − 4 D) y= 2x − 4
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, in the xy-plane, a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5).
We know that, the formula to find the slope of a line is m=(y2-y1)/(x2-x1)
Substitute (x1, y1)= (0, 3) and (x2, y2)= (4, 5) in slope formula, we get
= (5-3)/(4-0)
= 2/4
= 1/2
Now, substitute m=1/2 and (x, y)=(0, 3) in y=mx+c, we get
3=1/2(0)+c
c=3
Put m=1/2 and c=3 in y=mx+c, we get
y=1/2 x+2
The equation of a line crosses the y-axis at the point (0, 3) and passes through the point (4, 5) is y=1/2 x+2. Therefore, option A is the correct answer.
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How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequalities is reversed to y < 2x + Two-thirds and
y > 2x + One-third?
Answer:
There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.
Step-by-step explanation:
Sample Respone from Edge
Answer:
There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.
Step-by-step explanation:
It's the sample response :)
What is the image of (4,-8) after a dilation by a scale factor of 1/4 centered at the origin?
Answer:
(1, -2)
Step-by-step explanation:
multiply each coordinate by 1/4. since the numerator is 1, you really just need to divide each number by 4.
19. Which of the following numbers is the smallest?
419
1/2
318
7/16
Answer:
Step-by-step explanation:
7/16
419
318
1/2
Please help i really need it, i will give brainliest to the right answers
Monique is taking part in a chili cooking contest. She has to buy enough supplies to make a very large batch of chili. The table shows the prices of some of the ingredients at the grocery store.
Answer:
1. 5
2. 1.29
3. 9.90
Step-by-step explanation:
They are buying 5 of each thing, so multiply it by 5.
The diced tomatoes cost $1.29.
When you solve the equation, you get 9.9. Convert that to money, and you have $9.90
please help me asap and show your work
Answer:
A) = 5
B) = 3
C) = [tex]2\sqrt{3}[/tex]
D) = 2.2894
Step-by-step explanation:
A) [tex]x^2=25[/tex]
[tex]\sqrt{x^2} = \sqrt{25} \\x= 5[/tex]
5*5 = 25
B) [tex]x^3 = 27[/tex]
[tex]\sqrt[3]{x^3} = \sqrt[3]{27} \\x=3[/tex]
3*3*3 = 27
C) [tex]x^2 = 12\\[/tex]
[tex]\sqrt{x^2} = \sqrt{12} \\x=2\sqrt{3} \\[/tex]
[tex]2\sqrt{3}[/tex] * [tex]2\sqrt{3}[/tex] = 12
D) [tex]x^3 = 12[/tex]
[tex]\sqrt[3]{x^3} = \sqrt[3]{12} \\x=2.2894.....\\[/tex]
2.2894 * 2.2894 *2.2894 = 12
No exact solution
9•(c + 3) = 9•c +9•3
Choose the property of real numbers that justifies the equation
Answer: Distributive Law
If the temperature is 30, what is the temperature in Fahrenheit?
Answer: 86
Step-by-step explanation:
Answer:
It will be 86.0 Fahrenheit
Step-by-step explanation: