Step-by-step explanation:
(3^5 - 3^4) (3^3 + 3^2)
= (243 - 81) (27 + 9)
= (162) (36)
= 5832
24 = 8*3
since 832 is divisible by 8 and 5+8+3+2 = 18 is divisible by 3
5832 is therefore divisible by 24
check:
5832/24 = 243
Use Pythagoras to find the height and hence, the area of the triangle
below. Give height to 1 decimal place and area to the nearest whole. Write
answer in format: h= A= *
20 mm
Val
Answer:
h=17.3 A=173
Step-by-step explanation:
Calculator
Answer:
height = 17.3 mm
area = 173 mm²
Step-by-step explanation:
all three sides are of the same length (20 mm).
so, the height actually splits the baseline in half
(2 × 10 mm) while hitting it at a 90 degree angle.
so, we use Pythagoras, where the full side opposite of this 90 degree angle is c (Hypotenuse), the height of the main triangle is one side, and half of the baseline is the other side.
c² = a² + b²
20² = 10² + height²
400 = 100 + height²
300 = height²
height = 17.3 mm
the area of the main triangle is baseline (20) times height divided by 2.
so,
At = 20×17.3/2 = 10×17.3 = 173 mm²
[tex]\frac{1}{5} x + \frac{4}{5} = \frac{8}{5}[/tex]
Answer:
x = 4
Step-by-step explanation:
1/5x + 4/5 = 8/5
Multiply each side by 5 to get rid of the fractions
5(1/5x + 4/5) = 8/5 *5
x+4 = 8
Subtract 4 from each side
x+4-4 = 8-4
x = 4
The graph of the equation
Answer:
Step-by-step explanation:
This equation has a vertical asymptote at x = -2 and a horizontal asymptote at y = 1. This is stuff you should know about rational equations as you learn about them. The vertical asymptote serves as the locked gate or really high wall that the graph cannot go through nor can it go around or over or under. The graph will never cross through the VA. The horizontal asymptote is a horizontal line, y = 1, that reveals the graph's end behavior. So picture this:
We have an x/y coordinate plane. There is a vertical asymptote at x = -2 and a horizontal line at y = 1. This graph, because it cannot go through the vertical asymptote, is "split" into 2 parts, basically. The left "part" comes in along the horizontal asymptote from negative infinity, almost touching it but not quite, and when it reaches x = -2, it drops along the vertical asymptote, almost touching it but not quite and goes down into negative infinity. The right "part" of the graph comes down from positive infinity along the vertical asymptote, almost touching it but not quite, and when it reaches y = 1, it curves along that line off into positive infinity.
please help, I'm so confused how to-do this
Answer:
Step-by-step explanation:
use the quadratic formula : [tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}[/tex], where ax^2+bx+c=0
[tex]y = \frac{ -(-20) \pm \sqrt{(-20)^2 - 4(1)(50)}}{2(1)}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{400 - 200}}{2}[/tex]
[tex]y = \frac{ 20 \pm \sqrt{200}}{2}[/tex]
y = 17.07106~ or 2.928932~
Factor the polynomial expression 4x3 - 4.
==================================================
Work Shown:
4x^3 - 4
4(x^3 - 1)
4(x - 1)(x^2 + x + 1)
In the last step, I used the difference of cubes factoring formula which is
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Can someone please help?
Answer:
1.
C. 6561 is the answer that the table represents
Answer:
B
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 8, 9 ] , then
Continuing the table from x = 6 , multiplying values of y by 3
x y
6 729
7 2187
8 6561
9 19683
f(b) = f(9) = 19683
f(a) = f(8) = 6561
average rate of change = [tex]\frac{19683-6561}{9-8}[/tex] = [tex]\frac{13122}{1}[/tex] = 13122 → B
5. At a wedding reception, an equal
number of guests were seated at
12 round tables. The 13 people in
the wedding party were seated at
a rectangular table. There were 121
people at the reception altogether.
Which equation could you use to find
the number of guests, n, seated at each
round table?
A 12 + 13n = 121
B 12n + 13= 121
C 121 = 12n - 13
D 121 = 13n - 12
Answer:
b i think
Step-by-step explanation:
Given the table below, determine which type of equation best models the data and use a calculator to find an equation of best fit.
Answer:
Hello,
Step-by-step explanation:
Best fit: quadratic y=5.3x²-9.3+6.1
with an total error of 0.4
Please help
Solve for x
Answer:
X=15 since it the same
Step-by-step explanation:
X is simply equal to 15 because it an equilateral triangle
HELP PLS WITH PYTHAGOREAN THEOREM
Answer:
100 ft
Step-by-step explanation:
We need to find the diagonal ( or hypotenuse)
We can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
80^2 + 60^2 = c^2
6400+3600 = c^2
10000 = c^2
Taking the square root of each side
sqrt(10000) = sqrt(c^2)
100 = c
Translate this phrase into an algebraic expression. Five more than the product of 8 and Vanessa's savings Use the variable v to represent Vanessa's savings.
Step-by-step explanation:
so, what's the difficulty ?
the product of two things means a multiplication. something times something else.
the product of 8 and Vanessa's savings is therefore expressed as ("×" is the multiplication symbol)
8 × v
and five more than that means just to add 5 to that.
so, in total, we have
8 × v + 5
remember that multiplications and divisions must be executed before any +/- operations (except for any brackets telling us otherwise).
martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?
please someone help
Answer:
Yes, it will overflow after 16 minutes..
Step-by-step explanation:
The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.
Can someone help me out
Answer:
75.7
Step-by-step explanation:
Area of the sector,
17²×π×30/360
= 289π/12
= 75.7 (rounded to the nearest tenth)
Answered by GAUTHMATH
Calculator
ZC and ZD are vertical angles with MZC = –2x + 90 and MZD = x – 30.
What is mZD
Enter your answer in the box.
Answer:
10
Step-by-step explanation:
Vertical angles are equal to each other
-2x + 90 = x - 30
90 + 30 = x + 2x add like terms
120 = 3x divide both sides by 3
40 = x
angle <ZD is x - 30 so the answer is 10
10000-10000+100000-100000
Answer:
0
Step-by-step explanation:
Graph the following lines
38) Paula is making a pair of drapes for her dining room. Each of the four drapery panels, when completed, measures 8 feetlang by 4 feet wide. What is the total area of the four drapery panels?
pls help if I see a off topic answer or a silly joke I will report and make sure u get in trouble so do not joke around.
Answer:
128 ft^2
Step-by-step explanation:
each drapery has an area of 8*4 feet^2 and there are four panes so the total area is 8*4*4= 128
inverse sine is used to find a given angle measure when we know the _ and the _
Answer:
opposite side of an angle
hypotenuse
25 points please help me
Answer:
I can help you with C and I tis non-linear because to make it linear it needs to be a straight line and shouldn't have any curves.
Step-by-step explanation:
Simplify (square root 3)(^5 square root 3)
Answer:
[tex]3^{\frac{7}{10} }[/tex]
Step-by-step explanation:
[tex]\sqrt{3} *\sqrt[5]{3}[/tex] = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10
Answer:
Step-by-step explanation:
Exponent law: [tex]a^{m}*a^{n}=a^{m+n}[/tex]
[tex](\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}[/tex]
Identify the number as prime, composite or neither. If the number is composite, write it as the product of prime
factors.
18
Answer:
composite number
prime factors={2,3}
factors of 18={1,2,3,6,9,18}
❏ Hello there! ❏
This number is composite.
Prime numbers have only two factors.
An example of a prime number is 5 (it's divisible by itself and 1)
Every prime number is divisible by itself and 1 (only these two numbers)
Composite numbers, however, have 3 or more factors.
18 has more than 3 factors, therefore, it's composite.
Product of prime factors:
2*3*3
2 is prime, because it's divisible by itself and 1
3 is prime as well
Hope it helps you!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]-SilentNature -[/tex]
using trig to solve for missing angle
A group of neighbors is holding an end of summer block party. They buy ppp packs of hot dogs, with 888 hot dogs in each pack. All together, they have 565656 hot dogs for the party.
Write an equation to describe this situation.
How many packs of hot dogs did the neighbors buy?
Answer:
565656÷8=p
So the answer is 637:D
divide the numbers 1 to 8 by 9. observe the decimal and discuss your observation of non terminating recurring decimal
Answer:
When dividing the numbers 1-8 by 9, we get whatever number was divided as a decimal in repeating form. For example, 2/9 = 0.22222...
Brainliest, please! I'm almost an Ace!
Step-by-step explanation:
1/9 = 0.11111...
2/9 = 0.22222...
3/9 = 0.33333...
4/9 = 0.44444...
5/9 = 0.55555...
6/9 = 0.66666...
7/9 = 0.77777...
8/9 = 0.88888...
The average age of a preschool class is 4.5 years old. If there is one 3-year-old, five 5-year-olds, and two other children both of the same age, what is the age, in years, of the other two children?
Answer:
3.1
Step-by-step explanation:
5 x5 =25
25+3=28
the other children are 4 years old
PLEASE HURRY
1 Your dad asks you to go to the grocery store and buy at least 3 pounds of grapes. Write an inequality for this scenario.
Answer:
X ≥ 3
Step-by-step explanation:
Let the number of grapes you'll buy be X, you need to buy at leaF 3 pounds so:
X ≥ 3
Answered by Gauthmath
What do you think happens to the graph
of f(x) = x2 if we multiply it by 3? Make a
guess. It undergoes a ...
I
A. Vertical Stretch
B. Vertical Shrink
Answer:
b. vertical shrink
Step-by-step explanation:
The altitude (i.e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at a rate of 1.5 square cm/minute. At what rate is the base of the triangle changing when the altitude is 12 centimeters and the area is 99 square centimeters
Answer:
A = 1/2 B H area = 1/2 base X height
B = 2 A / H = 2 * 99 / 12 = 16.5 cm
dA / d t = 1/2 * (B dH / dt + H dB / dt)
dB / dt = (2 dA / dt - B dH / dt) / H
dB / dt = (2 * 1.5 cm^2 / min - 16.5 cm * 2 cm / min) / 12 cm
dB / dt = (3 - 33) / 12 cm/min = -2.5 cm/min
if three less than one half a number is equal to one-third of the same number, find the number
Answer: The number would be 18
Step-by-step explanation:
18/2=9 9-3=6 6*3=18
The equation be (x/2) - 3 = x/3 then, the number of x = 18.
How to estimate the value of x?To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Let x be the number
From the given information, we get
(x/2) - 3 = x/3
The set all the fractions on one side and constants on another side
(x/2) - (x/3) = 3
Multiply by LCM
3x - 18 = 2x
Add 18 to both sides
3x - 18 + 18 = 2x + 18
simplify
3x = 2x + 18
Subtract 2x from both sides
3x - 2x = 2x + 18 - 2x
x =18.
Therefore, the number is x = 18.
To learn more about algebraic expression refer to:
https://brainly.com/question/4541471
#SPJ2
Can you guys help me ?
Answer:
6.5
Step-by-step explanation:
you just take whats between the numbers
