what is 6^20 / 6^15? please include explanation :)
Answer:
6^5
Step-by-step explanation:
We know that a^b /a^c = a^(b-c)
6^20 / 6^15
6^(20-15)
6^5
13. What is the missing mumber in the input-output table below?
Input
3
5
?
17
Output
16
22
31
58
A. 8
C. 11
B. 9
D. 14
Answer:
Hello,
Answer A
Step-by-step explanation:
Since there are 4 inputs and 3 are known
we shell try a function like y=ax²+bx+c
So we have to resolve the system
[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]
We have to try:
0*x²+3*x+7=31
3x=24
x=8
A researcher predicted that the presence of other people (the independent variable) leads to a decrease in math performance (the dependent variable). To test this prediction, the researcher had participants first complete a set of math problems while alone and then, the same participants completed a set of math problems with other people present. After each participant was tested in both conditions, the researcher compared the results. In this study, the researcher used a
Answer:
participatory design
Step-by-step explanation:
Participatory Design (PD) is defined as an approach that is used for assessment as well as design and development of the technological and the organizational systems.
This method is used to a control and the experimental groups that is as similar as possible. Therefore the participants served their own control group. And so rather than replying the random assignment to produce an equal groups, the researchers have the same group of the participants that experience various conditions in the study.
The polygons in each pair are similar. Find the missing side length
Answer:
24 is the answer because 18/3=6 6x4 is 24
2(x+3) + 9 - 5 = 32
Solve for x.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 11[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\2(x+3)+9-5=32\\----------------\\\rightarrow 2x + 6 + 9 - 5 = 32\\\\\rightarrow 2x + 10 = 32\\\\\rightarrow 2x + 10 - 10 = 32 - 10\\\\\rightarrow 2x = 22\\\\\rightarrow \frac{2x=22}{2}\\\\\rightarrow \boxed{x=11}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
V(X+8)=x-4
Solve.
Radical equations and inequalities edge test is so hard smh
Answer:
x = V(X + 8) + 4
Step-by-step explanation:
Switch sides
x - 4 = V(X + 8\)
Add\ 4 to both sides
x - 4 + 4 = V(X + 8\) + 4
Simplify
x = V(X + 8) + 4
linesl,mand n are parallel to each other and p is a transversal
========================================================
Explanation:
Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.
If x+y = 180, then y = 180-x.
Plug this into the equation your teacher gave you
x/y = 3/7
x/(180-x) = 3/7
7x = 3(180-x) ... cross multiply
7x = 540 - 3x
7x+3x = 540
10x = 540
x = 540/10
x = 54
Use this to find y
y = 180-x
y = 180-54
y = 126
Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.
Divide both parts of the first fraction by 18 to fully reduce.
Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees
A bag of M&Ms costs 75 cents. A bag of Skittles costs 2/3 as much as a bag of M&Ms. How many cents does Mary need if she wants to buy one bag of Skittles and one bag of M&Ms?
75 cents *2 / 3 = 50 cents
75 crnts + 50 cents = 125 cents
find perimeter and area of given plane figure
Answer:
15.3 cm² is the correct answer for that question
Write the exponential function for each table of values. Remember the function y = a(b)*
Help me please!!!
Answer:
Step-by-step explanation:
This is really simple once you get the hang of it. Promise. Remember this:
IF YOU HAVE THE OPPORTUNITY TO CHOOSE A POINT FROM THE TABLE WHERE X = 0, THEN DO IT!
This gives you the a value in your equation and you don't have to solve for it. I'll show you how this looks in the first table of values and then we won't have to do it going forward.
I'm using the coordinates (0, 1) and (1, .5) from the first table. Filling in the equation with the first set of coordinates:
[tex]1=a(b)^0[/tex] and since anything to the 0 power is 1, we know a = 1 (this happens every time we have a coordinate in an exponential table where the x value is 0. a always equals whatever y is!)
Now that we know a = 1, we use that along with the next coordinate pair and solve for b:
[tex].5=1(b)^1[/tex] which simplifies to
.5 = b and the equation is
[tex]y=1(.5)^x[/tex]
For the next table use the coordinate (0, 50) and 1, 25). From the above explanation, I know that a = 50 (because x = 0). Use that along with the next coordinate pair to solve for b:
[tex]25=50(b)^1[/tex] which simplifies to
b = .5 and the equation is
[tex]y=50(.5)^x[/tex]
Lastly, use the points (0, 192) and (1, 768) and we know that a = 192; and it follows that
[tex]768=192(b)^1[/tex] so
b = 4 and the equation is
[tex]y=192(4)^x[/tex]
The first 2 of these are exponential decay because the number inside the parenthesis is less than 1 but greater than 0; the last one is exponential growth since the number inside the parenthesis is greater than 1. That's how you can tell.
A wallpaper store determines that the daily revenue (in pesos) earned by the store on the sale of y square meters of wallpaper is given in the equation R = y2 - 65y. How many square meters of wallpaper must be sold if the revenue from the wallpaper is to be 1200 per day?
Answer:
1,362, 00
Step-by-step explanation:
R= (1200)2 - 65 (1200)
=1,362,000
80 square meters of wallpaper must be sold.
What is Algebra?Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
R = y² - 65y.
Now, R= 1200
y² - 65y = 1200
y² - 65y -1200 = 0
y² - 80y + 15y -1200 = 0
(y- 80) (y + 15)= 0
y= 80, -15
Hence, 80 square meters of wallpaper must be sold if the revenue from the wallpaper is to be 1200 per day.
Learn more about algebra here:
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Please hurry I will mark you brainliest
View the following image and create a story that MATCHES the graph. Create your own scales and values to incorporate in the story.
Step-by-step explanation:
A body at rest accelerates to 2.5 meters in 1 second, it then maintains a constant speed for 2 seconds and accelerate 2.5 meters in 2 seconds. It then maintains a constant speed for 2 seconds and finally decelerates for the next eight seconds.
scale = 1cm : 1 unit.
distance axis : 1 to 7.5 meters
Time axis : 1 to 15 seconds
Please help me with this, i need help
Answer:
woa
i n
Step-by-step explanation:
The ages of 20 school children are recorded as follows:. 13 19 15 17 13 9 11 9 11 15 17 15 11 9 9 11 15 11 11 11. a. Make a frequency for the data b. What is the modal age c. Calculate. i) The mean age correct to the nearest whole number. ii) The range. d. What is the probability of selecting a child between the ages of 12 and 14
Answer:
The modal age is 11
The range is the highest minus the Lowe's which is 19-9=10
HELP pythagorean identity
Answer:
sin x
Step-by-step explanation:
sin ^2 x + sin x + cos ^ x -1
sin ^2 x + cos ^ x + sin x-1
We know that sin^2 x + cos ^2 x = 1
1 + sin x -1
sin x
Hi!
[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]
The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which ordered pair is on g(x)?
Answer:
[tex](-3,4/375)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]
Reflection: Across y-axis
Required
The ordered pair on g(x)
The rule of reflection across y-axis is:
[tex](x,y) = (-x,y)[/tex]
So, we have:
[tex]g(x) = f(-x)[/tex]
f(-x) is:
[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
Recall that:
[tex]g(x) = f(-x)[/tex]
Hence:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
From the options (missing in the question), the ordered pair is:
[tex](-3,4/375)[/tex]
To check this, we have:
[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]
[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]
Expand
[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]
Simplify
[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]
Open bracket
[tex]g(-3) = \frac{4}{375}[/tex]
The amount of money A accrued at the end of
n years when a certain amount Pis invested at
a compound annual rate r is given by
A= P(1+r)". If a person invests $150 at 5%
interest compounded annually, find the
approximate amount obtained at the end of 5
years.
[A] $191
[B] $4500
[C] $1139
[D] $900
Can some1 tell me fast pls what is the additive inverse of -9/2
Answer:
9/2
Step-by-step explanation:
For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0.
-9/2 + 9/2 = 0
Answer:
9/2.
Step-by-step explanation:
If x is the additive inverse then
x + (-9/2) = 0
x - 9/2 = 0
so x = 9/2.
Help I am not that good with math so if anyone can help that would be great. Thank you
Answer:
A. -10x^2 - 3x + 4.
two sides of a triangle have lengths 7 and 17. find the range of possible length for the third side
by using Pythagoras theorem c2= a2 + b2
so let's say c= 17 and a= 7, let's calculate for b
(17)^2 = (7)^2 + b2
289= 49+b2
289 - 49 = b2
240 =b2
√249 = b
b = 15 . 49
find the missing side lengths
Answer:
x = 9
y = 9
Answered by GAUTHMATH
Can someone help me?
Answer: b
Step-by-step explanation:
Find the volume of this square based pyramid. 3 cm 2 cm 2 cm. V = ? cm3.
I put V = 1/3 x 2 x 3. V = 2.
What did I do wrong?
The volume of square based pyramid is 4cm³.
What is Square Pyramid ?A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces.
How to find the volume of Square Pyramid ?To find the volume of a pyramid, we multiply the area of its base with the height of the pyramid, and divide by 3.
V=1/ 3×B²×h
where B is the area of the base of the pyramid, and h is its height.
Now in the question,
b = 2cm; h = 3cm
Volume = (1/3 x 2x2x3)cm³
= (1x2x2)cm³
= 4cm³
Therefore, the volume of square based pyramid is 4cm³
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C and D are complementary angles. Which of the following measures cannot be true
Om C= 30° and m D = 60°
Om C= 60° and m2D = 30°
Om C= 65° and m D = 35°
Om C = 55° and m D = 35°
Answer:
C= 65° and m D = 35°
this cannot be true
Step-by-step explanation:
a complementary angle adds up to 90°
65°+35°=100
90° =/= 100°
10) If ten is added to four times a certain number, the sum is four less than five times the number. Find the number.
Answer:
x = 14
Step-by-step explanation:
let the number be x.
4 times the number = 4x 10 added to 4 times the number = 4x + 10now,
5 times the number = 5x 4 less than 5 times the number = 5x - 4Given that,
4x + 10 = 5x - 4
moving all x terms to the LHS and the constants to the RHS
4x - 5x = -4 - 10
-x = -14
dividing both sides by -1
x = 14
Which property is used to simplify 45and + 3 (25x+75Y) to 5y + 65x?
Answer:
Distributive property
Step-by-step explanation:
The question is not properly formatted.
From the available detail, I will re-write the question as follows
[tex]45x + 3(25x + 75y)[/tex]
Required
The property used
Distributive property is stated as follows:
[tex]a(b \± c) = ab \± ac[/tex]
So, we have:
[tex]45x + 3(25x + 75y) = 45x + 75x + 225y[/tex]
Evaluate like terms
[tex]45x + 3(25x + 75y) = 120x + 225y[/tex]
What is the product? 3x(-6 -11 -14 -9)
Answer:
The product is -120
A bean plant grows at a constant rate for a month. After 10 days, the plant is
25 centimeters tall. After 20 days, the plant is 45 centimeters tall.
Which equation models the height of the plant, y, after x days?
Answer:
y-25 = 2(x-10)
Step-by-step explanation:
First find the slope using the points (10,25) and (20,45)
m = ( y2-y1)/(x2-x1)
m = (45 - 25)/(20-10)
= 20/10
= 2
Then using point slope form of a line
y-y1 = m(x-x1)
y-25 = 2(x-10)
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches?
O 6 inches
O 8 inches
O 12 inches
020 inches
Answer:
area of the triangle= 1/2 × base × height
24 = 1/2 × 4 × height
height. = 24/2
= 12 inches
answer is third option
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x)
A. 4x3+4x2
B. 4x(x)
C. 4X2 + 1
D. 4(x + 1)
Answer:
4x^3+4x^2
Step-by-step explanation:
f(x) = 4x^2
g(x) = x+1
(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2