Answer:
b. 9h
Step-by-step explanation:
Volume of the cube = a*a*a
Volume of the cube = 3*3*h = 9h
But in reality for cube it should be 3*3*3= 27, because of the all edges of a cube are equal.
Help idk how to do this
Answer:
[tex]y=5[/tex]
Step-by-step explanation:
[tex]BD=16\\BC=16/2=8\\CD=16/2=8[/tex]
[tex]2y-2=8\\2y-2+2=8+2\\2y=8+2\\2y=10\\2y/2=10/2\\y=5[/tex]
[tex]y+3=8\\y+3-3=8-3\\y=5[/tex]
Find the domain and range of the following relation. Also determine whether the relation is a function,
{(42)(4,5),(4.7),(4.9)}
Answer: domain: {2, 3, 4, 6}
range: {–3, –1, 3, 6}
Step-by-step explanation:
DOMAIN: {4}
RANGE: {2,5,7,9}
FUNCTION? NO!
Your domain is always your x-coordinates, which are the first coordinates in a pair.
Your range is always your y-coordinates, which are the second coordinates in a pair.
When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.
Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.
How many integers are between sqrt 37 and 5*sqrt 11?
Answer:
There are 10 integers between the given values
Step-by-step explanation:
We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:
[tex]\sqrt{37} \approx6.0827[/tex]
then this point is located in between the integers 6 and 7 on the x-axis.
[tex]5\,\sqrt{11} \approx 16.58[/tex]
therefore, it is located between the integers 16 and 17 on the number line.
Then between [tex]\sqrt{37}[/tex], and [tex]5\,\sqrt{11}[/tex], we have the following integers:
7, 8, 9, 10, 11, 12, 13, 14, 15, 16.
That is 10 integers
I NEED HELP PLEASEEE \6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)
Answer:
x = [tex]-7\frac{2}{3}[/tex]
Step-by-step explanation:
=> 6(2x+11) + 15 = 3x+12
(Expand the brackets)
=> 12x+66+15 = 3x+12
(Adding 66+15)
=> 12x+81 = 3x+12
(Subtracting 81 and 3x to both sides)
=> 12x-3x = 12-81
=> 9x = -69
(Dividing both sides by 9)
=> x = [tex]\frac{-69}{9}[/tex]
(Simplifying)
=> x = [tex]\frac{-23}{3}[/tex]
(Converting it into mixed form)
=> x = [tex]-7\frac{2}{3}[/tex]
So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.
Answer:hello
The answer is 7
Step-by-step explanation:at first solve this6(2x-11)=12x-66
Then write 12x-66+15
Then we have this 12x-66-15=3x+12
Then we have to write (x) in the left side and number in right side
12x-3x=66-15+129x=63
X=7
Good luck
Consider the function y = f(x) = 3
The values of (1) and ((t), rounded to the nearest hundredth, are
and
, respectively.
Answer:
f(½) = 1.73
f(¼) = 1.32
Step-by-step explanation: 1.73 is the first one and 1.32 is the second one.
Use the method of equating coefficients to find the values of a, b, and c: (x+4)(ax2+bx+c)=2x3+9x2+3x−4
Answer:
[tex]a = 2; b = 1\ and\ c = -1[/tex]
Step-by-step explanation:
Given
[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]
Required
[tex]Find\ a,b,c[/tex]
[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]
Open Bracket
[tex](x)(ax^2+bx+c)+(4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]
[tex]ax^3+bx^2+cx+4ax^2+4bx+4c=2x^3+9x^2+3x-4[/tex]
Collect like terms
[tex]ax^3+bx^2+4ax^2+cx+4bx+4c=2x^3+9x^2+3x-4[/tex]
By comparing coefficients; we have
[tex]ax^3=2x^3\\bx^2+4ax^2=9x^2\\cx+4bx=3x\\4c=-4[/tex]
Remove all traces of x from both sides
[tex]a=2\\b+4a=9\\c+4b=3\\4c=-4[/tex]
From the first equation;
[tex]a = 2[/tex]
From the last equation
[tex]4c = -4[/tex]
Divide both sides by 4
[tex]\frac{4c}{4} = \frac{-4}{4}[/tex]
[tex]c = \frac{-4}{4}[/tex]
[tex]c = -1[/tex]
Substitute -1 for c in the third equation
[tex]c+4b=3[/tex]
[tex]-1 + 4b = 3[/tex]
Add 1 to both sides
[tex]1-1 + 4b = 3+1[/tex]
[tex]4b = 4[/tex]
Divide both sides by 4
[tex]\frac{4b}{4} = \frac{4}{4}[/tex]
[tex]b = \frac{4}{4}[/tex]
[tex]b = 1[/tex]
Substitute 2 for a in the second equation [To confirm the value of b]
[tex]b+4(2)=9[/tex]
[tex]b + 8 = 9[/tex]
Subtract 8 from both sides
[tex]b + 8 - 8 = 9 - 8[/tex]
[tex]b = 1[/tex]
Hence;
[tex]a = 2; b = 1\ and\ c = -1[/tex]
prove that the value of the expression (125^2+25^2)(5^2–1) is divisible by 3
Step-by-step explanation:
[tex]A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\[/tex]
Since 30 is divisible by 3
Thus, A is divisible by 3
Good luck!
[tex](125^2+25^2)(5^2-1)=\\\\=(125^2+25^2)(25-1)=\\\\=(125^2+25^2)\cdot24=\\\\=(125^2+25^2)\cdot8\cdot{\bold{\underline3}}[/tex]
125 and 25 are integer ⇒125² and 25² are integer ⇒(125²+25²) is integer
One of factors of given expression is 3 so given expression is divisible by 3
q.e.d.
x^2-18-6 completing the square
Answer:
(x+0)^2-24
Step-by-step explanation:
use (b/2)^2 to complete the square.
Answer:
(x+0)^2-24
Step-by-step explanation:
I took ap math XD
PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.
Red: 3 inches
Orange: 4 inches
Yellow: 5 inches
Green: 7 inches
Blue: 9 inches
Purple: 12 inches
1. How many triangles can she make with them if each side is a different color? List the combinations that work.
2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?
Answer:
9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP
Step-by-step explanation:
We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.Let's see what are the possible combinations:
3+4= 7 so possible 3rd side is 5
3, 4, 5 or ROY3+5= 8 so possible 3 rd side is 7
3, 5, 7 or RYG3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)
3, 7, 9 or RGB3+9= 12 so possible 3rd side is 7, see one above
3+12= 15 so possible 3 rd side is none
4+5=9 so possible 3rd side is 7
4, 5, 7 or OYG4+7= 11 so possible 3rd side is 9
4, 7, 9 or OGB4+9= 13 so possible 3rd side is 12
4, 9, 12 or OBP5+7= 12 so possible 3rd side is 9
5, 7, 9 or YGB5+9= 14 so possible 3rd side is 12
5, 9, 12 or YBP7+9= 16 so possible 3rd side is 12
7, 9, 12 or GBPSo the possible 9 combinations are:
RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBPWhich model represents a percent error of 25%? A model with 12 squares labeled exact value and 3 squares labeled error. A model with 10 squares labeled exact value and 5 squares labeled error. A model with 9 squares labeled exact value and 3 squares labeled error. A model with 8 squares labeled exact value and 4 squares labeled error.
Answer:
A model with 12 squares labeled exact value and 3 squares labeled error.
Step-by-step explanation:
The proportion of error is the number of errors divided by the number of trials. The percentage is the proportion multiplied by 100.
A model with 12 squares labeled exact value and 3 squares labeled error.
3/12 = 0.25
0.25*100 = 25%
This is the answer.
A model with 10 squares labeled exact value and 5 squares labeled error.
5/10 = 0.5
0.5*100 = 50%
A model with 9 squares labeled exact value and 3 squares labeled error.
3/9 = 0.3333
0.3333*100 = 33.33%
A model with 8 squares labeled exact value and 4 squares labeled error.
4/8 = 0.5
0.5*100 = 50%
Answer:
A
Step-by-step explanation:
edg 2020
Solve 2x + 4 > 16.
A. X>6
B. X> 10
C. x< 6
D. x<10
Answer:
x > 6
Step-by-step explanation:
2x + 4 > 16
Subtract 4 from each side
2x + 4-4 > 16-4
2x> 12
Divide by 2
2x/2 > 12/2
x > 6
Answer:
A. X>6
2 (7) + 4 > 16
14 + 4 > 16
18 > 16
solve the equation x^4+7x^2-18=0 and express each solution in a+bi form
Answer:
The following are the solutions found for x:
+√2 + 0i
-√2 + 0i
0 + 3i
0 - 3i
Step-by-step explanation:
The given equation is:
x⁴ + 7x² - 18 = 0
Rewrite x4 as (x²)²
(x²)² + 7x² − 18 = 0
Let u = x²
u² + 7u − 18 = 0
Factorize:
u² + 9u - 2u - 18 = 0
u(u+9) -2(u+9) = 0
(u-2)(u+9) = 0
(x²-2)(x²+9) = 0
Seperate both equations:
x² - 2 = 0 x² + 9 = 0
x = ±√2 x = ±√-9
x = ±√2 x = ± 3√-1
x = ±√2 + 0i x = 0 ± 3i
Answer:
C
Step-by-step explanation:
please need help I will be MARKING as BRIANILIST. thank you so much.
Answer:
C. 7
Step-by-step explanation:
Custodian has = [tex]5 \frac{1}{4} gallons[/tex]
Ever bookcase needs = [tex]\frac{3}{4} gallons[/tex]
We'll just divide them
Bookcases to be painted = [tex]5\frac{1}{4} / \frac{3}{4}[/tex]
= [tex]\frac{21}{4}* \frac{4}{3}[/tex]
= [tex]\frac{21}{3}[/tex]
= 7
Determine the amount of money you need to invest to have $26,000 dollars in 3 years if you invest it at 2.5% annual interest,
compounded monthly.
Answer:
$24123.20
Step-by-step explanation:
Remember your compounded interest rate formula: A = P(1 + r/n)^nt
Step 1: Write in known variables
26000 = P(1 + 0.025/12)^36
Step 2: Solve for P
26000 = P(1.0778)
P = 26000/1.0778
P = 24123.2
And we have our final answer!
What is the solution to this equation?
2x + 6 = 20
A. X = 13
B. X = 52
C. X = 28
D. X = 7
Answer:
d
Step-by-step explanation:
2(7)+6=20
14+6=20
20=20
Answer:
2x + 6 = 20
2x = 20 - 6
2x = 14
Divide both sides by 7
x = 7
That's option D.
Hope this helps.
A planet has a circular orbit around a star. It is a distance of 74,000,000 km from the centre of the star. It orbits at an average speed of 38,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answer:
81.14 Earth days.
Step-by-step explanation:
Step 1
The formula to solve this question is given as
Speed = Distance / Time
In the question, we are given the following values
Distance of the planet = 74,000,000 km
Average Speed of the planet = 38,000 km/h.
Average Speed = Distance / Time
38,000 km/h = 74,000,000 km/ Time
Cross Multiply
38,000 km/h × Time = 74,000,000 km
Divide both sides by 38,000 km/h
Time(hours) = 74,000,000 km /38,000 km/h
Time(hours) = 1947.3684211 hours
This means the circular orbit of the planet around the star takes 1947.3684211 hours.
Step 2
In the question, we were asked to find how many Earth days it takes.
Hence, it is known that
24 hours = 1 (Earth) day
1947.3684211 hours = x days
We would cross Multiply
24 hours × x days = 1947.3684211 hours.
Divide both sides by 24 hours
x days = 1947.3684211 hours ÷ 24 hours
x days = 81.140350879 Earth days.
Therefore, the number of Earth days it takes the planet to orbit the star to 2 significant figures =
81.14 Earth days.
if u help me i will be very thankful!!
Answer:
C
Step-by-step explanation:
[tex](a^{-2}\cdot 8^7)^2= \\\\a^{-2\cdot 2}\cdot 8^{7\cdot 2}= \\\\a^{-4}\cdot 8^{14}[/tex]
Therefore, the correct answer is C. Hope this helps!
Two jets are flying towards each other from airport that are 1200 km apart. One jet is flying at 250 km.h-1 and the other jet at 350 km.h-1 . If they took off at the same time, how long will it take for the jets to pass each other?
Answer: 2 hours
Step-by-step explanation:
The total velocity at which the planes are approaching each other is 350 + 250 = 600 km/h
Since time = distance/velocity, time = 1200km/ 600 km/h = 2 hours.
Describe how to find the inverse of the function:
[tex]f(x) = \sqrt{x + 3} [/tex]
Answer:
f(x) = x² – 3
Step-by-step explanation:
Lemme try
f(x) = √(x + 3)
y = √(x + 3)
y² = x + 3
y² – 3 = x
Cz we gonna invers that, we'ld turn x to y and y to x, so:
x² – 3 = y
Yeah, inverse of the function is y=x²–3
Answer:
Step-by-step explanation:
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
Using similar triangles theorem
In similar triangles, ratio of their corresponding sides are equal.
Let the point where a line cuts BC = D
Length (AB/BD) = length(AC/CD)
15/3x = 9/(2x-1)
Cross multiply
15(2x-1) = 9(3x)
Expand the brackets
30x -15 = 27x
Collecting like terms
30x-27x = 15
3x = 15
Divide through by 3
x= 15/3
x= 5
What is the solution set of x for the given equation? x^2/3=x^1/3+4=6 A. -2, -1 B. 2, -1 C. -8, -1 D. 8, -1 E. 2, 8
Answer:
Interpreting as: x^2/3=x^1/3+4=6 A
Input:
x^2/3 = x^(1/3) + 4 = 6 A
You do not need to line up the decimal points when subtracting two decimal numbers. TrueFalse
Answer:
false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Or else it will give you an incorrect calculation
Aliyah wants to estimate the value of the quotient of 5.68 times 10^-3 and 8.54 times 10^-9. Which statement about the value is true?
a. The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1.
b. The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.
c. The value will be less than 1 because 5.68 divided by 8.54 is less than 1. The negative exponents will make it even smaller.
d. The number will be less than 1 because 5.68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.
Answer:
6.65105386*10^5
A
Step-by-step explanation:
(5.68*10^-3)/(8.54 *10^-9
when divide negative over negative it gives positive
10^-3 / 10^-9=10^6
5.68/8.54=0.665
0.665*10^6=6.65*10^5
6.65105386*10^5
Answer:
A.
Step-by-step explanation:
use the quadratic formula to find both solutions to the quadratic equation given below. 3x^2-x+4=0
Answer: B and D
Step-by-step explanation: A p e x
The value of the quadratic equation 3x² - x + 4 = 0 is B. {1 - √(-47)}/6 and
D. {1 + √(-47)}/6.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, 3x² - x + 4 = 0.
We know x = {- b ± √(b² - 4ac)/2a}.
∴ x = {+ 1 ± √(1 - 48)}/6.
x = {1 ± √(-47)}/6.
x = {1 + √(-47)}/6 Or {1 - √(-47)}/6.
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Describe how to transform the graph of f into the graph of g. f(x) = x2 and g(x) = -(-x)2 The graph shifts left one unit. Reflect the graph of f across the y-axis and then reflect across the x-axis. Reflect the graph of f across the y-axis. Reflect the graph of f across the x-axis.
Answer:
Reflect the graph of f across the y-axis and then reflect across the x-axis.
Step-by-step explanation:
Reflection rules:
Reflection over x -axis:(x,y)→(x,-y)
Reflection over y-axis : (x,y)→(-x,y)
Graph:[tex]y= f(x)=x^2[/tex]
We are given that the graph of f into the graph of g.
[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]
Reflect over y axis.
Reflected graph [tex]=(-x)^2[/tex]
Reflect the obtained graph over x axis
[tex]g(x)=-(-x)^2[/tex]
So, Option B is true
Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.
Answer:
i reflected it over the x and y axis tho
Step-by-step explanation:
bro trust me
A. 4/11
B. 7/11
C. 11/7
D. 11/4
help plsss
Answer:
Option B. 7/11
Step-by-step explanation:
The following data were obtained from the question:
Sin x = 7/11
Cos(90 – x) =..?
The value of Cos(90 – x) can simply be obtained as follow:
Recall:
Sin x = Cos(90 – x)
Sin x = 7/11
7/11 = Cos(90 – x)
Therefore, the value of Cos(90 – x) is simply 7/11.
How can you be certain that the angles you have created form a square inside the
circle?
Answer:
Step-by-step explanation:
Make sure that the angles are the same length, also make sure that the diameter of the circle is not smaller than that of the square to find diameter of a circle multiply the radius by 2, to find the radius use this formula
r=C over 2π
By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the [tex]\bold{r=C}[/tex] formula of the radius over [tex]\bold{2\pi}[/tex]
The building process is as follows:
Circle diameter is plotted.The method as described in the perfectly straight central axis of a portion is drawn by the bisector of the right angle of the radius. It is also a circular pattern diameter.The four areas on the circle that result are indeed the square vertices.Please find the attached file.
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i neeeeeeeeedd help filling in the blanks
Answer:
Step-by-step explanation:
6
2
11,034
70 ml/s
Which of these needs the denominator rationalized? -PLEASE HELP
Answer:
option b
Step-by-step explanation:
[tex] \sqrt{ \frac{5}{3} } [/tex]
[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]
the denominator is in the surd form, so it must be rationalized
If the nth term of a number sequence is n squared -5 find the first 3 terms and the 10th term
Answer:
If the nth term is n^-5,
Then the first term will be (1)^-5=1
Second term will be (2)^-5= 1/32
3rd term=(3)^-5 = 1/243
So, 10th term will be (10)^-5=1/100000
The first term is -4, second term is -1, third term is 4 and 10th term is 95.
What is sequencea group of connected actions, moves, or things that happen in succession and have a specific order.
Given that,
The nth term of sequence = n² - 5 (1)
To find terms, Substitute values of n in equation (1),
Substitute n=1, the first term = 1-5 = -4
Substitute n=2, the second term = 4-5 = -1
Substitute n=3, the third term = 9-5 = 4
For 10th term, substitute n= 10,
10th term = 100-5 = 95
First term =-4, second term = -1, third term = 4 and 10th term = 95.
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