If (a+b) = 4 and ab = 3, find the value of a³+b³.​

Answers

Answer 1

Answer:

28

Step-by-step explanation:

a³+b³= (a+b)³ - 3ab(a+b)

= 4³ -3×3×4 = 64-36 = 28


Related Questions

Use substitution to solve the system of equations.

How many solutions are there?

1/2x -1/3y= 5
x= 2/3y + 10

Α. There are no solutions
В. There is one solution.
C. There are infinitely many solutions.
D. It is not possible to determine the number of solutions

Answers

Answer:

A

Step-by-step explanation:

1/2(2/3y) - 1/3y = 5

1/3y - 1/3y = 5

0 ≠ 5

No Solutions

These are linear equations and, when graphed, are parallel

A rectangle has a length that is twice the width. The width is to be extended by 5 ft and the length by 3 ft, so the total area becomes 99 square feet. What was the original length?

Answer Choices:
4 ft
6 ft
8 ft
10 ft
12 ft
14 ft
16 ft

Answers

Answer:

8 feet

Step-by-step explanation:

w = width

2s = length

Find 'w' by multiplying the new dimensions:

(w+5)(2w+3) = 2w² + 3w + 10w + 15 = 99

simplify:

2w² + 13w - 84 = 0

Factor:

(2w + 21)(w - 4) = 0

w = -21/2   ** disregard because a measurement cannot be negative **

w = 4

original width was 4

orginal length was twice 4 or 8 feet

A homeowner wants to determine how much paint is needed to paint the walls of his living room.
Choose the two variables the homeowner should most consider when deciding how much paint is necessary.
A.
the cost of one gallon of paint
B. the number of rooms in the house
c. the number of walls in the living room
D. the area of the walls in the living room
E. the area that one gallon of paint will cover

Answers

Answer:A

Step-by-step explanation:becouse it makes sen e

Answer:

c & d

Step-by-step explanation:

A pottery shop uses 493 pounds of clay each week. About
how many pounds of clay will the shop use in 36 weeks?

Answers

a pottery shop uses 493 pounds of clay each week. about

how many pounds of clay will the shop use in 36 weeks?

493*36= 17,748 pounds of clay

On an architect's drawing, the scale is 1 inch equals 6.5 feet. The distance on the drawing of the width of the dining room is 3.5 feet. How wide is the actual dining room?

Answers

Answer:

22.75

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

3.5 x 6.5 = 22.75 ft

Kevyn has a bag of jolly ranchers. Kevyn gave 3/8 of the bag to Alex and 1/4 of the bag to Marisa. Kevyn also gave 1/2 of the remaining candy to his favorite teacher Mr. Lee. How much of the total candy bag did Kevyn give to Mr. Lee.

Answers

Answer: 3/16

Step-by-step explanation: after giving it to Alex and Marisa there is only 3/8 left. Half of 3/8 is 1.5/8 or 3/16

The streptococci bacteria population N at time t (in months) is given by N = N0e 2t where N0 is the initial population. If the initial population was 100, how long does it take for the population to reach one million?

Answers

I’m not sure what e is in your equation. But I think the answer is t=5000 months. Let me know if you need an explanation

Why is it important to know how to use area or volume in real life?

Answers

It’s important because you may doing something that includes that and you don’t have a ruler etc..
The concepts of area and volume all talk about how much space a 2D or 3D figure occupies. In real life, there are certain jobs that include measuring and geometry, which you will be able to accomplish by your math skills. For example, engineering involves analyzing and modeling certain objects. Even if work is not included, the daily activities we do, sometimes include area and volume. Such as finding a gift box where your gift perfectly fits and measuring your daily water intake.

Have a nice day, i tried my best :DD

solve for the value of k

Answers

Answer:

k = 42

Step-by-step explanation:

This is a complementary angle, meaning that the angles formed equal 90 degrees. We know it is complementary because the angle is shown was a tiny square, a sign that it is 90 degrees. Thus, the two angles (k+1) and 47 added together must equal 90. So, we can write an equation:

(k+1) + 47 = 90

k + 1 = 43

k = 42.

K=42
So (42+1)=43 2*43=86 (86+4)=90
I think so thanks

Which expression is equivalent to csc x – sin x?

a.
cos^2x/sinx
c.
sin x – cos x
b.
sin x + cos x
d.
cos^2x + sin^2x

Answers

ANSWER : A
good luck :)

Answer:

a edge 2021

Step-by-step explanation:

Find the measure of one interior angle of a 15-gon. (1 point for work, 1 point for correct answer

Answers

Answer:

[tex](180 - 15) = 165[/tex]

A single, standard number cube is tossed. What is the probability of getting a number other than 6?
A. 1
B. start fraction 1 over 3 end fraction
C. start fraction 5 over 6 end fraction
D. start fraction 1 over 6 end fraction

Answers

Answer:

c. start fraction 5 over 6 end fraction

Step-by-step explanation:

there are six numbers on a cube

1, 2, 3, 4, 5, 6

there are 5 other numbers other than 6

5/6

5 = other than 6

6 = total numbers

In a class of 45 students, 25 play
hockey and the remainder play
football
a. What fraction of the class
play football?
d. ir of the students who play
football also play tennis, what
fraction of the class also plays
tennis?​

Answers

Answer:

a. I think is twenty

d. ??????????

Two equations are given. m + 5n = 20
m = n-4

What is the solution to the set of equations in the form (m, n)?

A (3,7)
B (0,4)
C (5, 1)
D (2,6)

Please help

Answers

Answer:

B. (0, 4)

Step-by-step explanation:

so we need to find the value of m and n, and luckily we have 2 equations that'll help. (I'm going to use the substitution method for this instead of the Elimination method because I am lazy)

first we need to solve for m, but we already have an equation that tells us what m is equal to, m = n - 4.

now we just need to plug in our new m into the other equation and solve for n. (we are using m + 5n = 20 for that)

so now we get

(n - 4) + 5n = 20

so we solve for n

n + 5n = 24

6n = 24

n = 4

now that we know that n is 4, we can plug that into our m equation (m = n - 4)

m = 4 - 4

m = 0

now we have our m and n, and we can make our ordered pair.

(m, n)

(0, 4)

3.6 ÷ 0.08 + 5.2 • 2.5

Answers

Answer: 58

Step-by-step explanation:

Answer: the answer is 58

you could've used calculator lol.

hope it's right.

Step-by-step explanation:

The surface area of the cylinder

Answers

yesssssss broooii yesssssss broooii
The surface are of a cylinder is 2π r h + 2π r².

Which side lengths form a right triangle? Choose all that apply. 5, the square root of 8, 33 or 8,15,17 or the square root of 2, the square root of 2, 2

Answers

Answer:

17² = 15² + 8²

2² = (√2)² + (√2)²

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. From Pythagoras theorem, the square of the longest side (hypotenuse) is equal to the sum of the square of the two sides. Hence:

33² ≠ (√8)² + 5² (not right triangle)

17² = 15² + 8² (right triangle)

2² = (√2)² + (√2)² (right triangle)

A local theater charges $7.50 for adult tickets and $5.00 for discount tickets. The theater needs to
make at least $240 to cover the rent of the building. If 20 discount tickets are sold, how many adult
tickets must be sold?

A-less than 10 tickets
B-15 adult tickets
C-at least 19 adults tickets
D-no more than 8 adult tickets

Answers

$5 x 20 = 100

$7.50 x 19 = 142.5

100 + 142.5 = 242.5

The answer is C, at least 19 adult tickets.
You get the closest answer to 240 by answering C.

Answer:

C

Step-by-step explanation:

the theater sold 20 discount tickets=5*20=100$

the number of tickets for adult must be =140/7.5=18.7 ~19 tickets at least

im b o r e d so
what yall doing

Answers

Step-by-step explanation:

Nm :/

Bored too

what r u doing?

Answer:

hi

Step-by-step explanation:

pppppppppppppp

If (X+2,4) and (5,y-1 are equal ordered pairs ,Find the value of X and y​

Answers

Answer:

x = 3, y = 5

Step-by-step explanation:

Since the ordered pairs are equal, then equate the x and y coordinates

x + 2 = 5 ( subtract 2 from both sides )

x = 3

y - 1 = 4 ( add 1 to both sides )

y = 5

A car dealership has $3,570 to spend on newspaper ads. If each ad costs $70, how many ads can the dealership buy?

Answers

Answer:

51

Step-by-step explanation:

The dealership can buy 51 ads.

To find this, divide the money available to spend by the cost per ad ($3570/$70)

plz help right now illl give brainlist 5.0 and say thanks

Answers

4+4+1 is the answer

Answer: 4+4+1

Step-by-step explanation: 4+4+1=4+5

Hope this helps!

-10x+10y=-10 10x-10y=10

Answers

Answer:

X=-Y

Step-by-step explanation:

...........................

Find the circumference and the area of a circle with diameter 8 yd.
Use the value 3.14 for n, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answer:

Circumference: 25.12

Area: 50.24

Step-by-step explanation:

Circumference: 3.14*8

Area: 1/4*3.14*8*8

Which graph fits this line? y = 2x + 1

Answers

Answer:

Calculating two points and drawing the line between the two.

Explanation:

To find the y-intercept, put x = 0

y = 2 (0) - 1

y = -1

To find the x-intercept, put y = 0

2x - 1 = 0

2x = 1

x = 1/2

Draw your system of axis. Mark -1 on the y-axis, and 1/2 on the x-axis.

Now draw a line through these two ponts. Add arrows.

==============================================

To draw the graph by using points,

let x = -1, then y = 2 (-1) - 1 = -2 - 1 = -3

first point is (-1; -3)

Let x = 0, y = 2 (0) - 1 = -1

Second point is (0; -1)

Let x = 1, y = 2(1) - 1 = 1

Third point is (1; 1)

Plot the three points and draw a line through them. Add arrows to your line.

Convert to an improper fraction: 4 3/5

Answers

Answer:

23/5

Step-by-step explanation:

multiply denominator by whole number. add the numberator. sum will now be your new numberator (denominator always stays the same).

hope this helps! (❁´◡`❁)

23/5 so ya hope that was righ

I will give brainliest. write the least squares regression equation that models the data. Round your values to the nearest hundredth.

Answers

I think your answer is y = 4.19x - 163.41

Solve the quadratic formula for (5x+3)(5x-3)=19X

Must show all workings

Answers

X=1.09
X=-0.33
I think

The value of x for the given quadratic equation is (19+[tex]\sqrt{1261}[/tex])/50,

(19-[tex]\sqrt{1261}[/tex])/50.

What is a quadratic equation?

It is in the form of a[tex]x^{2} +bx+c[/tex]. It is simply an equation and we have to solve for x.

How to solve a quadratic equation?

If we solve the given equation we will be able to get the following equation

[tex]25x^{2} -19x-9=0[/tex]

x=(-b+-[tex]\sqrt{b^{2}-4ac }[/tex])/2a

when we put b=19 a =25 c =-9

we will get x=[tex](19+\sqrt{1261} )/50 , (19-\sqrt{1261} )/50[/tex].

Learn more about quadratic equations at https://brainly.com/question/1214333

#SPJ2

What is the volume of the following image?

Answers

Try 1824 I do tho I haven’t done this in a long time

What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth.
o3.2 units
o3.5 units
o7.7 units
o7.9 units

Answers

Answer:the answer is o.7.7

Step-by-step explanation:

The answer would be o7.7 units
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