Answers
2^4×3^2 = 144
___________
Answer:
144 would be the answer.
Step-by-step explanation:
Question:- [tex]2^{4}[/tex] · [tex]3^{2}[/tex]
[tex]2^{4}[/tex] = 2 x 2 x 2 x 2
= 4 x 2 x 2
= 8 x 2
= 16
[tex]3^{2}[/tex] = 3 x 3
= 9
So, [tex]2^{4}[/tex] · [tex]3^{2}[/tex] = 16 x 19
= 144
Related Questions
if tge angle at the center is 62° and the radius is 12 cm.. find the length of arc
Answers
Answer:
Step-by-step explanation:
r = 12 cm
Theta = 62
Length of arc = [tex]\frac{theta}{360}*(2\pi r)[/tex]
[tex]=\frac{62}{360}*2*3.14*12[/tex]
= 12.98 cm
Pine Lane Middle School's student council has 10 seventh graders and 8 eighth graders serving as representatives. A subcommittee containing 3 seventh graders and 3 eighth graders is formed to organize a student dance. How many different subcommittees can be formed
Answers
Hey there! I'm happy to help!
When dealing with picking things and finding the number of possibilities, we can be dealing with two different types of things: permutations or combinations. We use permutations when order is important to the groups and we use combinations if order is not important.
It appears here that order is not important here as the subcommittee doesn't have to be in a specific order, so we will be using combinations.
So, we have ten seventh graders to choose from. Then we will have 9, and then 8. So, we multiply these numbers of choices.
10×9×8=720
Now, we need to divide by 6. This is to show that order doesn't matter. Why? Because there are 6 possible ways to organize 3 seats on the committee (3×2×1), and we want to divide out all of the different orders so it is just the specific group of people and not their different organizations that are counted.
720/6=120
Now, we need to find this with the eighth graders.
8×7×6=336
And we divide by the number of seats factorial (3 seats for the eighth graders, so 3×2×1=6 again)
336/6=56
Now, we multiply our numbers for seventh and eighth graders to find all off the possibilities.
120×56=6720
So, there are 6720 subcommittees possible.
Have a wonderful day and keep on learning! :D
Which is the equation of the line with y-intercept -2 and slope 6.
Answers
Answer:
The equation would be y=m-2+6
Step-by-step explanation:
Have a great day :)
Help me
Pls its due soon and i have no clue how to do this
Answers
Question 10
Draw a 30-60-90 triangle template. Refer to the diagram below.
We have 1 as the short leg, 2 as the hypotenuse and sqrt(3) as the long leg.
Place the angle theta as the reference angle such that it's opposite the sqrt(3) side.
That allows tan(theta) = sqrt(3)/1 = opposite/adjacent
In other words, tan(60) = sqrt(3)/1
So theta = 60 is one solution. We add on 180 to get the other solution. So the other solution is 60+180 = 240
So tan(60) = tan(240) = sqrt(3)
Answers: 60 and 240======================================================
Question 11a
sin(theta) = -0.8
theta = arcsin(-0.8) or theta = 180-arcsin(-0.8)
theta = -53.1301 or theta = 180 - (-53.1301)
theta = -53.1301 or theta = 233.1301
Add 360 to the first angle to find a coterminal angle counterpart.
-53.1301 + 360 = 306.8699
So the two approximate solutions are
theta = 306.8699 or theta = 233.1301
and those round to 306.9 and 233.1 respectively.
Answers: 233.1 and 306.9======================================================
Question 11b
cot(theta) = 1.8
tan(theta) = 1/(1.8)
theta = arctan( 1/(1.8) ) or theta = 180+arctan( 1/(1.8) )
theta = 29.0546 or theta = 180+29.0546
theta = 29.0546 or theta = 209.0546
theta = 29.1 or theta = 209.1
Answers: 29.1 and 209.1There are 9 classes of 25 students each, 4 teachers, and 2 times as many parent volunteers as teachers.
Each bus holds a total of 45 people.
What is the least number of buses needed for the field trip?
Answers
the answer Is found in the question
The least number of buses required for the trip will be 5 buses.
What is the Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Total number of classes = 9
Number of students in each class = 25
Number of teachers = 4
Number of chaperones = Double of teacher
Bus hold = 45 people
A total number of students.
= 9 × 25
= 225
A number of chaperones.
= 4 × 2
= 8
Total people = 225 + 8 + 4 = 237
Least number of buses required for trip = Total people / Bus hold
= 237 / 45
= 5.266
Learn more about the unitary method here:
brainly.com/question/22056199
#SPJ2
Both and tell why pls……..
Answers
Answer:
4) A
5) E
Step-by-step explanation:
#4
[tex]\frac{x}{y}=\frac{1}{10} * \frac{z}{y}[/tex]
[tex]\frac{x}{y} =\frac{1z}{10y}[/tex]
Cross multiply the equation and you get:
[tex]10xy=zy[/tex]
Since [tex]\frac{a}{b}=\frac{c}{d}[/tex] is the same thing as [tex]ad=bc[/tex], you can change the equation into [tex]\frac{x}{z} =\frac{y}{10y}[/tex]
Cancel out the y on the top and bottom and you get 1/10
#5
[tex]\frac{2}{3} *\frac{x}{2} =5[/tex], simplify and you get [tex]\frac{x}{3} =5[/tex] so x=15
[tex]\frac{1}{5} * 3(x)[/tex] is equal to [tex]\frac{1}{5} *3(15)[/tex] after you plug in x, and that is equal to 9
Algebra what a subject please write down all the rules when using algebra ill provide some below that I know
5xA = 5a (when times number by a letter the letter gets put next to the number)
Answers
Step-by-step explanation:
Algebra is a topic that covers linear equations, system of equations, sequences, exponential functions, polynomials, quadratic, exponents, radicals, functions, and more. I'm going to give use algebraic formulas and not all the topics.
Like Terms Rule: If two terms that share the same variable are separated by a binary operation, we can combine them.
For example, look at
[tex]6 + 7x + 9x[/tex]
We can combine 7x and 9x.
[tex]7x + ( + 9x) = 16x[/tex]
Add the coeffceint and keep the variable.
16x+6
Solving Algebraic Equations:
Alot questions in Algebra asks you to isolate a variable. For example,
[tex] \frac{x}{2} + 6 = 9[/tex]
First step, is to get the x variable by itself. To do this subtract 6 by both sides. Why? Because Subtraction is a inverse operation off addition. Remeber the Golden Rule of Algebra,
WHAT WE DO TO ONE SIDE. WE DO TO THE OTHER.
[tex] \frac{x}{2 } = 3[/tex]
Now, we multiply both sides by 2 because multiplying is the inverse operation of division and vice versa.
[tex]x = 6[/tex]
If we plug this in, it is indeed true.
[tex] \frac{6}{2} + 6 =[/tex]
[tex]3 + 6 = 9[/tex]
Some other rules are
If we multiply a term by a one term, we only affect the term that is being multiplied, for example
[tex]2x \times 3[/tex]
2 and 3 are both real numbers so we just multiply 2 and 3. and put x behind the answer.
[tex]2 \times 3 = 6(x)[/tex]
[tex]2x \times 3 = 6x[/tex]
When we multiply 2 variables, we put the variable near each other. For example,
[tex]x \times y = xy[/tex]
When we add term, we add the coeffcient parts
[tex]y + y = 1y + 1y = 2y[/tex]
Know that
[tex]y = 1y[/tex]
When we multiply same term variables, we get
[tex]x \times x = {x}^{2} [/tex]
There is more formulas for Algebra. But these are the basicis.
Does this graph show a function? Explain how you know.
Answers
Answer:
yes because the graph passes the vertical line test
pls help. do all three for brainliest!
Answers
Answer:
Rectangular pyramid volume: 8×9×9/3 = 216 cm³
Rectangular prism volume: 8×9×7 = 504 cm³
Total volume of composite figure: 216+504 = 720 cm³
Answer:
720 cm³
Step-by-step explanation:
Rectangular pyramid:
Volume = [tex]\frac{1}{3}BH[/tex]
H = 9 cm
B-> base area = area of rectangle
B = length * width = 8*9 = 72 square cm
[tex]Volume = \frac{1}{3}*72*9 = 216 \ cm^{3}[/tex]
Rectangular prism:
length = l = 8 cm
Width = w = 9 cm
Height = h = 7 cm
Volume of rectangular prism = l * w * h = 8 * 9 * 7 = 504 cm³
Volume of composite figure = volume of pyramid + volume of r. prism
= 216 + 504
= 720 cm³
An angle measures 2 more than the measure of its complementary angle
Answers
Answer:
let x be the complementary angle
then x + 2 is the angle
x+2 +x =90
2x = 88
x = 44°
x + 2° = 46°
PLEASE HELP!!! Sketch the graphs: y=|x-1|+2 y=|x-1|-2
Answers
Does the answer help you?
1. Three products from renewable resources are
Answers
Answer:
biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.
What is the first step in solving this system by elimination?
2x + 10y = -20
-x + 4y = 28
A. Multiply the first equation by -2.
B. Combine the equations as they are.
C. Multiply the second equation by 2.
D. Multiply the second equation by -4.
Answers
You want to try and get rid of one of the variables ( x or y) so you would multiply the second equation by 2 which would make the x variable -2x which then when added to the first equation would eliminate the x variable.
Answer: c. Multiply the second equation by 2.
a^n = 5, 10, 15, 20, 25…
A1=
Answers
Answer:
a1 =5
Step-by-step explanation:
an = 5,10,15,20,25......
a1 is the first term
a1 =5
1/6 of a loop around the circle would be a rotation of how many degrees (q)?
A=6
B=60
C=30
D=36
Answers
Answer:
60
Step-by-step explanation:
A circle is 360 degrees
1/6 of 360
1/6 * 360 = 60
PLEASE HELP!! Which of the following demonstrates the commutative property across multiplication for 2 x 10 x 7
A.(2 x 10) x 7
B. 10 x7 x 2
C. 2 +10 x 7
D 2 x (10 x 7)
Answers
10 x 7 x 2
What is the measure of
Answers
Answer:
try D
Step-by-step explanation:
what is mathematics let's check your mind who know this I will give 10 on a
Answers
Answer:
Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.
Step-by-step explanation:
Answer:
Mathematics is like the study of numbers and relationships I guess.
Step-by-step explanation:
All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.
Basic Arthimetics seems to use ratios when counting, or patterns, ect.
169.2 is what percent of 208
Answers
Answer:
The percentage is 81.35% (2.d.p)
Step-by-step explanation:
[tex]\frac{169.2}{208}[/tex] x 100 = 81.34615285
If the geometric mean of a and 28 is 16 sqrt 7 find a
Answers
Answer:
a = 64
Step-by-step explanation:
The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
[tex]\sqrt{28a}[/tex] = 16[tex]\sqrt{7}[/tex] ( square both sides )
28a = (16[tex]\sqrt{7}[/tex] )² = 1792 ( divide both sides by 28 )
a = 64
Answer:
a = 64
Step-by-step explanation:
The geometric mean for two numbers is given by :
GM = sqrt(ab)
16 sqrt(7) = sqrt(a*28)
Square each side
(16 sqrt(7))^2 = (sqrt(a*28))^2
256*7 = 28a
1792 = 28a
Divide each side by 28
1792/28 = 28a/28
64 = a
A can contains 1/2 pint of paint. If we use 2/3 of the paint, how much paint is left in the can?
A. 1/2
B. 1/3
C. 2/3
D. 1/6
E. 5/6
Answers
Answer:
d
Step-by-step explanation:
Quantity of paint used = (2/3) of (1/2)
[tex]=\frac{2}{3}*\frac{1}{2}\\\\=\frac{1}{3}[/tex]
Quantity left in the can = [tex]\frac{1}{2}-\frac{1}{3}[/tex]
[tex]= \frac{1*3}{2*3}-\frac{1*2}{3*2}\\\\=\frac{3}{6}-\frac{2}{6}\\\\=\frac{1}{6}[/tex]
Which transformation gives the same result as a reflection over the x-axis followed b
a reflection over the y-axis?
Answers
Answer:
filtration system is not working
filtration
Solve the equation √2 – 1 = 3.
Question 5 options:
A)
x = 4
B)
x = 16
C)
x = 8
D)
x = 2
Answers
Answer:
C x=8
Step-by-step explanation:
Chúc bạn ngày mới tốt lành
Dr. Perry conducts a study in which she evaluates the effectiveness of an adult literacy program. The study is both quantitative and qualitative in nature, and the 30 participants are treated as equal researchers in the study. What research method is Dr. Perry MOST likely to use
Answers
The method is Dr. Perry most likely to use is Participatory action research.
Participatory action research is a type of research characterized by :
Qualitative and quantitative method Active participation of the community involved in the researchAdditionally, in this type of research, the community involved is treated as researchers and their contributions are taken into account in the result of the same.
According to the above, the type of research suitable for Dr Perry's study is participatory action research, since it includes all the factors that Dr Perry takes into account for her research such as quantitavie/qualitative method and active participation from the community involved.
On the other hand, case study, naturalistic observation, and focus group are not the correct options because they use other methods in which the studied community does not actively participate.
Learn more in: https://brainly.com/question/15930435
Note:
This question is incomplete because the options are missing. Here are the options.
A. Case study
B. Naturalistic observation
C. Participatory action research
D. Focus group
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
Answers
Solution:-1
Number be 27
[tex]\\ \sf\longmapsto 27^2[/tex]
[tex]\\ \sf\longmapsto (30-3)^2[/tex]
[tex]\\ \sf\longmapsto 30^2-2(30)(3)+3^2[/tex]
[tex]\\ \sf\longmapsto 900-180+9[/tex]
[tex]\\ \sf\longmapsto 909-180[/tex]
[tex]\\ \sf\longmapsto 729[/tex]
[tex]\\ \sf\longmapsto 27^2[/tex]
Hence verified
Solution:-2
a be 10 b be 9[tex]\\ \sf\longmapsto 10^3+9^3[/tex]
[tex]\\ \sf\longmapsto (10+9)(10^2-10\times 9+9^2)[/tex]
[tex]\\ \sf\longmapsto 19(100-90+81)[/tex]
[tex]\\ \sf\longmapsto 19\times 91[/tex]
[tex]\\ \sf\longmapsto 1729[/tex]
Which of the following values are in the range of the function graphed below? Check all that apply
Answers
Answer:
B
-10-10=20
10+10=20
20/20=0
hello, help needed. show work please. 55 points!! due today.
Answers
Answer:
see below
Step-by-step explanation:
x+5
y = ----------------------
x^2 - 2x+1
Since the degree of numerator < degree of denominator ( 1 < 2) there is a horizontal asymptote: y = 0
How much bacteria in 7 days?
Answers
Answer:
y=113*(1+0.82)^x
x=7
y=113*(1.82)^7=7474.43
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
2 questions
Answers
Answer:
Confidence Interval - "P" values
(0.4433 , 0.5444 )
~~~~~~~~~~~~~~~~~~~~~~~
[tex]\mathrm{Expand\:}\left(x+4y\right)^3:\quad x^3+12x^2y+48xy^2+64y^3[/tex]
in you image it is the last on "D"
Step-by-step explanation:
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.4433 , 0.5444 )
What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
Negative StartFraction 15 Over 2 EndFraction
Negative one-half
StartFraction 22 Over 9 EndFraction
StartFraction 24 Over 7 EndFraction
Answers
Answer:
[tex]\displaystyle m = \frac{22}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (1, 3)
Point (10, 25)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{25 - 3}{10 - 1}[/tex]Subtract: [tex]\displaystyle m = \frac{22}{9}[/tex]Answer:
c
Step-by-step explanation:
