Answer:
2
Step-by-step explanation:
What is 1/4 of the H.C.F of 24,16,48
Your answer
GIven data
24,16,48
let us find the HCF of the above numbers
24=2*2*2*3
16= 2*2*2*2
48=2*2*2*2*3
Hence the HCF is 2*2*2= 8
Let us find 1/4 of the HCF
=1/4*8= 2
Hence the final answer is 2
Which equation can be used to determine the reference angle
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{7\pi }{12}[/tex] is an angle in the second quadrant
Thus to find the reference angle, subtract from π , that is
r = π - θ
BRAINLEST IF CORRECT
Answer:
first option
Step-by-step explanation:
the graph has a point of (8,2)
so see which option proves this point
2=0.25(8)
2=2
so first option is correct
A hatbox in the shape of a cylinder is modeled below the diameter of the cylinder is 24 inches the height of the cylinder is 8 inches what is the volume of the cylinder?
Answer:
3619.11 in³Step-by-step explanation:
Cylinder volume:
V = πr²hSubstitute values:
V = π(24/2)²*8 = 3619.11 in³As we know the,
General formula for volume of cylinder,
→ V = πr²h
Now we can find,
The volume of the cylinder,
→ πr²h
→ π(24/2)² × 8
→ π × 12² × 8
→ 3619.11 in³
Hence, volume of cylinder is 3619.11 in³.
Solve this equation : 12p-5=25
write step by step.
Answer:
P=2.5
Step-by-step explanation:
12p = 25+5
12p = 30
P =30/12
Simplification:
P= 15/6
= 5/2 = 2.5
Find f(2) if f(x) = (x + 1)^2.
9
6
5
Answer:
9
Step-by-step explanation:
f(2)=(2+1)^2
(3)^2
(9)
Shelly believes the honor roll students at her school have an unfair advantage in being assigned to the math class they request. She asked 500 students at her school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:
Honor Roll - Not on Honor Role - Total
Received Math Class Requested 125 215 340
Didn't Get Math Class Requested 80 80 160
Total 205 295 500
Help Shelly determine if all students at her school have an equal opportunity to get into the math class they requested. Show your work, and explain your process for determining the fairness of the class assignment process.
Answer:
I believe this would be the answer?
Step-by-step explanation:
{2, 3, 4, 6, 8, 9, 10, 12}
Can someone help me with this question
Answer:
Kenji is wrong
Step-by-step explanation:
3⁵ · 4⁵ = (3 · 4)⁵ = 12⁵
but 12¹⁰ ≠ 12⁵
so , kenji is wrong
A pallet of floor tiles contains 60 cases of tiles, and the yard has 10 complete pallets of tile. If you remove 180 cases for one customer how many cases of tiles will be remaining in the yard?
Total cases = total pallets x cases per pallet
Total cases = 60 x 10 = 600 cases
600 cases - 180 cases = 420 cases left
Answer: 420 cases
Mike invested $93,000 at 8.19% compounded weekly.
What will Mike's account balance be in 11 years?
Answer:
$4920446.6202
Step-by-step explanation:
the formula for compound interest is: P(1+ r/n)^n*t
p= principle (the amount of money you invest/ start with)
r= the interest rate (which is the percentage in decimal)
n= the number of times its compounded per year (52 weeks per year)
t= the amount of time (usually in years)
now, you plug the numbers youre given into the formula:
93000(1+0.0819/52)^52*11
= $4920446.62402
hope this helps :)
Mile's account balance after 11 years will be $228,786.8
What is the formula for compound interest?"[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where A = Accrued amount (principal + interest)
P = Principal amount
r = interest rate as a decimal
R = interest rate as a percent
r = R/100
n = number of compounding periods
t = time in years"
For given question,
P = $93000,
t = 11 years
n = 52 (weekly compounding)
R = 8.19%
So, the interest rate in decimal would be,
[tex]\Rightarrow r =\frac{8.19}{100}\\\\\Rightarrow r =0.0819[/tex]
Using the formula of compound interest,
[tex]\Rightarrow A=P(1+\frac{r}{n} )^{nt}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^{52\times 11}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^572\\\\\Rightarrow A=228,786.8[/tex]
Therefore, Mile's account balance after 11 years will be $228,786.8
Learn more about the compound interest here:
https://brainly.com/question/22979103
#SPJ2
Talia wants to find the amount of sugar that will fit in a box that is 4 inches long, 2 inches wide, and 6 inches high. What measurement does she need to calculate?
A)the perimeter of the box
B)the volume of the box
C)the width of the box
D)the area of the box
Answer:
C) the volume of the box
:)
Consider the original parallelogram and the enlargement. A parallelogram has side lengths 5 millimeters and 10 millimeters. A larger parallelogram has side lengths 15 millimeters and B. What is the length of side B in the enlarged parallelogram? 15 mm 30 mm 40 mm 50 mm
Answer:
B=30mm
Step-by-step explanation:
According to the Question,
we have, A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.
The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.
Therefore, A/C = D/B
5/10 = 15/B
B=150/5
B=30mm
Help and explain !!!!
i believe it's y-intercept!
to be honest i was never taught why it was the y-intercept, i was just told that it was. hope this helps!
A u B u C A=(a,b,c,d,e) B=(d,e,f,g,h,i) C=(a,e,i,o,u) help class 8
Answer:
If U = { a, b, c, d, e, f, g, h} , find the complements of the following sets:(i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = { f, g, h, a}
Answer:
if;A= { a,b,c,d,e}
B= {d,e,f,g,h,i}
C= {a,e,i,o,u}
AuBuC = {a,b,c,d,e,f,g,h,i,o,u}
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ¯ツ
in a two digit number the tens digit is 6 more than the units digit. if the digits are interchanged, the sum of the new and the original number is 132. Determine the original number.
Given:
In a two digit number the tens digit is 6 more than the units digit.
If the digits are interchanged, the sum of the new and the original number is 132.
To find:
The original number.
Solution:
Let the unit digit of the original number be x. So, the tens digit is (x+6) and the value of the number is:
[tex]m=(x+6)\times 10+x\times 1[/tex]
[tex]m=10x+60+x[/tex]
[tex]m=11x+60[/tex]
If we interchange the digits, then the value of new number is:
[tex]n=x\times 10+(x+6)\times 1[/tex]
[tex]n=10x+x+6[/tex]
[tex]n=11x+6[/tex]
The sum of the new and the original number is 132.
[tex]m+n=132[/tex]
[tex]11x+60+11x+6=132[/tex]
[tex]22x+66=132[/tex]
[tex]22x=132-66[/tex]
[tex]22x=66[/tex]
Divide both sides by 22.
[tex]x=\dfrac{66}{22}[/tex]
[tex]x=3[/tex]
So, the unit digit of the original number is 3 and the tens digit is:
[tex]x+6=3+6[/tex]
[tex]x+6=9[/tex]
Therefore, the original number is 39.
what percent of 98 million is 7740
Answer:
Step-by-step explanation:
x : 100 = 7740 : 98 000 000
x = (7740 * 100)/98 000 000
x = 0.007898 %
A percentage is a hundredth of a number Then [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Answer:
3/5
Step-by-step explanation:
prependicular / hypotenuse
sin C=ED/CD
=3/5
Help ASAP
Determine reflections (advanced)
Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'.
Answer:
Line that connects points (0,4) to (4,0)
Step-by-step explanation:
Just imagine where you should fold the paper to overlap one figure on another
The side length of the cube is 5 cm. Find the volume of the cube.
Answer:
125 cm³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cube Formula: V = a³
a is a side lengthStep-by-step explanation:
Step 1: Define
Identify variables
a = 5 cm
Step 2: Find Volume
Substitute in variables [Volume of a Cube Formula]: V = (5 cm)³Evaluate exponents: V = 125 cm³Answer:
[tex]\huge\boxed{V=125cm^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cube with edge [tex]a[/tex]:
[tex]V=a^3[/tex]
We have [tex]a=5cm[/tex].
Therefore the volume is:
[tex]V=(5cm)^3=5cm\cdot5cm\cdot5cm=125cm^3[/tex]
solve the following problems
Answer:
135°
Step-by-step explanation:
∠AOB = ∠COB = 90°
∠BOK = 45°
90 + 45 = 135°
Find a unit vector u u in R 2 R2 such that u u is perpendicular to v . v. How many such vectors are there
Answer: hello some part of your question is missing
Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.
Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?
answer:
One(1) unit vector ( < 5/√29, 2 /√29 > ) perpendicular to 〈−2,5〉
Step-by-step explanation:
let
u = < x , y > ∈/R^2 be perpendicular to v = < -2, 5 > ------ ( 1 )
hence :
-2x + 5y = 0
-2x = -5y
x = 5/2 y
back to equation 1
u = < 5/2y, y >
∴ || u || = y/2 √29
∧
u = < 5 /2 y * 2 / y√29 , y*2 / y√29 >
= < 5/√29, 2 /√29 > ( unit vector perpendicular to < -2, 5 > )
H:36 is the same ratio as a:e
Answer:
super find out how many of
what is the correct length and width for the rectangle?
Answer:
Length = 14
Width = 7
Step-by-step explanation:
Length of a rectangle is twice its width.
let, the width be x, so the length becomes 2x
now the perimeter is 42, and we know the formula to find the perimeter is 2(length+width)
so, 2(2x+x)=42
or, 2×3x=42
or, 6x=42
or, x=7
so the width is 7 and the length is, 2×7 = 14
Answered by GAUTHMATH
In 25 words or fewer, is this solution reasonable? Why or why not?
Step-by-step explanation:
This solution is reasonable because equal slopes are parallel and negative reciprocals are perpendicular. Four right angles make up a rectangle, and this fulfills it
Lana cuts 2 pieces for every 7 inches from a dowel for a craft project, for a total of 7 pieces.
Answer:
24.5 inches need to be cut
Step-by-step explanation:
A group of hospital workers belonging to a union each earn the same hourly wage. The union dues are 2 percent of each paycheck regardless of whether the employee works full-time, half-time, or quarter-time. Does this mean that the amount of money deducted will be the same for all the employees?
Answer:
No, different amounts will be deducted.
Step-by-step explanation:
Because the amount deducted is a percent, it changes based on the total amount.
For example, If someone takes 10% of $100, they will have taken $10. And if they take 10% from someone who has $10, they will have taken $1.
Good luck!
what is gravity write it's SI system
Step-by-step explanation:
gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
its Sl unit is m/s².
hope it helps.stay safe healthy and happy.( t^15/27x^9 ) ^-2/3
Please solve this
it is fraction with a negative fraction exponent
Answer:
Step-by-step explanation:
Exponent laws:
[tex](a^{m})^{n}=a^{m*n}\\\\a^{-m}=\frac{1}{a^{m}}[/tex]
[tex](t^{\frac{15}{27}}x^{9}})^{\frac{-2}{3}}= \ t^{\frac{15}{27}*\frac{-2}{3}}*x^{9*\frac{-2}{3}}\\\\\\= t^{\frac{5}{9}*\frac{-2}{3}}*x^{3*-2}\\\\=t^{\frac{-10}{27}}x^{-6}\\\\=\frac{1}{t^{\frac{10}{27}}x^{6}}[/tex]
Write the equation of the line from the graph
(show your work pls)
Expansion (2x-3y+4z)^2
Answer:
Step-by-step explanation:
(a+b+c)²=a²+b²+c²+2ab+2bc+2ca
(2x-3y+4z)²=(2x)²+(-3y)²+(4z)²+2(2x)(-3y)+2(-3y)(4z)+2(4z)(2x)
=4x²+9y²+16z²-12xy-24yz+16zx
We know that,
→ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Now Putting 2x = a, -3y = b and 4z = c , we get
→ (2x - 3y + 4z)²
→ (2x)² + (- 3y)² + (4z)² + 2 × 2x × (- 3y) + 2 × (- 3y) × 4z + 2 × 4z × 2x
→ 4x² + 9y² + 16z² - 12xy - 24yz + 16zx
Arranging according to the like terms, we get
→ 4x² - 12xy + 16zx + 9y² - 24yz + 16z²
▬▬▬▬▬▬▬▬▬▬▬▬Which of the following is an arithmetic sequence?