The rule states that
[tex](a^b)^c = a^{bc}[/tex]
So, in your case, you have
[tex](9^{\frac{1}{2}})^2=9^{\frac{1}{2}\cdot 2}=9^1=9[/tex]
Evaluate the expression 3r^2 if r = 1/6.
Answer:
0.08333
Step-by-step explanation:
3(1/6)^2
1/6=0.1666
1/6^2=0.02777
3*0.02777=0.08333
Answer:
1/12
Step-by-step explanation:
This is the answer because:
1) 1/6^2 = 1/36
2) 1/36 x 3 = 3/36 = 1/12 ↔ 3 ÷ 3 = 1 & 36 ÷ 3 = 12 = 1/12
Therefore, the answer is 1/12.
Hope this helps! :D
A supermarket had bags of red grapes for $13.00 for 5 bags. They also had bags of green grapes priced at $5.08 for 2
bags. Which type of grape is most expensive?
A Green grapes
B) Red grapes
They are both the same price
Answer:
Green grapes are less expensive.
Step-by-step explanation:
5.08/2 = 2.54
Multiply that by 5
You get $12.70 for 5 bags.
Write the expression as an algebraic expression of x that does not involve trigonometric functions:
[tex] csc({cos}^{ - 1} x)[/tex]
Answer:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
Step-by-step explanation:
Please refer to the attachment.
We have:
[tex]\csc(\cos^{-1}(x))[/tex]
First, we will let:
[tex]\cos^{-1}(x)=\theta[/tex]
Then:
[tex]x=\cos(\theta)[/tex]
So, the adjacent side of our triangle is x and the hypotenuse is 1.
Then by the Pythagorean Theorem, the opposite side is given by:
[tex]x^2+o^2=1^2[/tex]
So:
[tex]o=\sqrt{1-x^2}[/tex]
Going back, we have:
[tex]\csc(\cos^{-1}(x))[/tex]
Since arccos(x) is θ:
[tex]=\csc(\theta)[/tex]
Cosecant is the ratio of the hypotenuse over the opposite side. Therefore:
[tex]\displaystyle \csc(\theta)=\frac{1}{\sqrt{1-x^2}}[/tex]
Hence:
[tex]\displaystyle \csc(\cos^{-1}(x))=\frac{1}{\sqrt{1-x^2}}[/tex]
What is the approximate area of rectangle ABCD?
Answer:
I think it's 158
Step-by-step explanation:
Answer:
158
Step-by-step explanation:
The formula for the area of a rectangle is A = bh.
Help me please!!!!!!
Answer:
1. Equatoin = y = 2/9x + 1 Slope = 2/9 Y- interpects= 1
2.Equatoin = y= 7/5x - 7 Slope = 7/5 Y- interpects= 7
Step-by-step explanation:
. The table below shows a relationship between x and y. x y -2 -5 0 1 2 7 4 13 Which of the following equations best represents this relationship? y = 3x + 1 y = 3x - 1 y = -2x - 5 y = x + 1
Answer:
the answer is B
Step-by-step explanation:
your welcome
Answer:
y=3x-17
Step-by-step explanation:
On a timer please help
Which could be the graph of f(x) = |x - h| + k if h and k are both positive?
Answer: a
Step-by-step explanation: edge 2020
To anyone who sees this: you're beautiful, you're loved, you're strong, you're appreciated, and you're amazing.
I am happy that you're here today:) hope you have a great day today, stay safe as well:))
Answer:
Awwww
Step-by-step explanation:
Thank you! I hope you know that as well :). I really needed that today so thank you
find the aspect ratio width/length of a ping-pong table which is 108 inches long and 5 feet wide. If child's
ping-pong table has the same aspect ratio and it has a width of 3 feet, how long is the table in inches.
4/7 + 1/5 =
Show full steps
Topic: Adding fractions
Answer:
27/35
write all numerators above the LCD 35
20 + 7 over 35
add the numerators
The answer is in the two images below and one of them shows step-by-step on how to solve it.
Hope this helps my friend! :)
Find the inverse function of f(x)=15x-1
Answer:
f'(x) = (x + 1)/15
Step-by-step explanation:
f(x) = 15x -1,
Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.
f(x) = 15x - 1
+1 +1
f(x) + 1 = 15x
/15 /15
(f(x) + 1)/15 = x
This means that (denote in the way one would denote an inverse of a function);
f'(x) = (x + 1)/15
I need The rate of change
Answer:
m=4
Step-by-step explanation:
To find the average rate of change, you have to calculate the change in y over x which gives you 4
Select all that apply.
Which rates are equivalent to 25 miles per gallon?
50 miles
1.5 gallons
100 miles
.8 gallons
50 miles
gallons
75 miles
3 gallons
Answer:
75 miles- 3 gallons
Step-by-step explanation:
What is the gallons for 50 miles? It doesn't say...
[tex]3x+42=75[/tex]
Have a happy holiday!
Answer: X=11
thank you!!! happy holidays!! :}
Answer: x=11
Step-by-step explanation: 3x+42=75
Step 1: Subtract 42 from both sides.
3x+42−42=75−42
3x=33
Step 2: Divide both sides by 3.
3x
3
=
33
3
x=11
A field has an area of 64400m^{2} .
Calculate the area of the field. On the map in cm^{2} .
PLEASE HELP ME TO SOLVES IT SOON!
Answer:
[tex]644,000,000\ cm^2[/tex]
Step-by-step explanation:
[tex]We\ are\ given:\\Area\ of\ the\ map\ in\ m^2=64400\ m^2\\Hence,\ all\ we\ just\ have\ to\ do\ is\ to\ convert\ it\ into\ cm^2.\\Hence,\\Lets\ derive\ the\ formula\ of\ conversion\ from\ m^2\ to\ cm^2\ and\ vice\ versa.\\We\ know\ that,\\1m=100\ cm\\By\ squaring\ both\ the\ sides\ we\ get,\\(1m)^2=(100cm)^2\\Hence,\\1m^2=100^2\ cm^2\\1m^2=10,000\ cm^2\\Just\ in\ case\ you\ wanna\ convert\ cm^2\ to\ m^2,\\1m^2=10,000\ cm^2\\1cm^2=\frac{1}{10,000} m^2\\[/tex]
[tex]Here,\\As\ the\ area\ of\ the\ field\ in\ m^2=64,400\ m^2\\ As\ the\ area\ of\ the\ field\ in\ cm^2=64,400\ m^2*10,000=644,000,000\ cm^2[/tex]
ASAP!! WILL MARK BRAINLIEST!!
Is it a right triangle ??
Write the simplest polynomial function for each set of zeros
Zeros = -2, 5, -1
Answer:
The polynomial is ;
x^3 -2x^2 -13x - 10
Step-by-step explanation:
Given the zeros, we set them to equal zero so as to get the linear factors
Mathematically, that will be as follows;
x = -2
x + 2
x = 5
x-5
x = -1
x + 1
So we have the polynomial as;
(x + 1)(x + 2)(x-5)
= (x -5)(x^2 + 3x + 2)
= x^3+ 3x^2 + 2x -5x^2 -15x - 10
= x^3 -2x^2 -13x - 10
Circle theorems help please
Answer:
maybe 15 is the answer so
Answer:
x = 75°
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended on the same arc.
The angle at the centre is
360° - (285 - x)
= 360 - 285 + x
= 75 + x
Thus
x = [tex]\frac{1}{2}[/tex] (75 + x) ← multiply both sides by 2 to clear the fraction
2x = 75 + x ( subtract x from both sides )
x = 75°
An amusement park sells child and adult tickets at a ratio of 3:1. On Saturday, they sold 63 adult tickets. How many child tickets did the amusement park sell?
Answer:
The number of child tickets sold by the amusement park is 189.
Step-by-step explanation:
Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:
3:1 = C:A .................... (1)
Where;
C = ?
A = 63
Substituting for the value into equation (1), we have:
3:1 = C:63
This can be converted to solve for C as follows:
3 / (3 + 1) = C / (C + 63)
3 / 4 = C / (C + 63)
0.75 = C / (C + 63)
0.75(C + 63) = C
0.75C + (0.75 * 63) = C
0.75C + 47.25 = C
47.25 = C - 0.75C
47.25 = 0.25C
C = 47.25 / 0.25
C = 189
Therefore, the number of child tickets sold by the amusement park is 189.
If the dividend is a whole number and the divisor is 3.68, how do you move the decimal point for the dividend? The one who answer thank you so much I need it for my math today!!! 12/23/20 Happy new year and Merry Christmas!!! <3
Answer:
Move it two places to the right
Step-by-step explanation:
For example:
10/3.68= 2.717
See attached snip
Angela transfers 15% of each paycheck she received into her savings account. If she transferred $54 into her savings account last week, how much did she earn on that paycheck? Show your work using a model, proportion or equation
Answer:
$360
Step-by-step explanation:
Let the amount that she earned on the paycheck be represented by x
Hence,
15% of x = $54
Therefore:
15/100 × x = $54
15x/100 = $54
Cross Multiply
15x = $54 × 100
15x = $5400
x = $5400/15
x = $360
Therefore, the amount that she earned on that paycheck = $360
A train covered first 120 km at a speed of 20 km an hour and then covered
the remaining 180 km at a speed of 45 km an hour. Find its average speed.
stap by step explanation
Answer:
Ans 30 km per hour............
1
Select the correct answer.
Which expression is equivalent to sec2xcot?x?
O A Sin?x
O B. cScZx
OC. (1)/(cos^2x)
OD. (1)/(tan^2x)
Answer:
The equivalent expression is cosec2x
option B
Step-by-step explanation:
The correct question is ;
which expression is equivalent to sec2xcot2x?
Solution
Mathematically;
sec2x = 1/cos2x
cot2x = 1/tan2x
so we have
1/cos2x * 1/tan2x
recall that the product of tan and cos is sin
from the formula;
tan = sin/cos
so we have our final answer as;
1/sin2x
Kindly recall that ;
sin = 1/cosec
so therefore;
1/sin2x = csc2x
what answer is it GIVING BRAINLIEST
Answer:
A
Step-by-step explanation:
The product mean multiplication
In how many ways can one write the numbers 1, 2, 3, 4, 5, and 6 in a row so that given any number in the row, all of its divisors (not including itself) appear to its left
Answer: 25 ways.
Step-by-step explanation:
first we have 1,2,6. this can appear once.
4, can appear in twice.
3 can appear in-between 2 and 6, this means 3 can appear 3times before 6.5 would appear 5 times.after 6 3 can appear 2 more times.[tex]= (3+2) * 5\\= 5*5\\= 25ways[/tex]
by not including itself, an appearing on the left side. one number can be written 25ways
what is the solution to the system of equations graphed below
Answer:
A. (-2, 1)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.
Answer is:
A.
(-2, 1)
Please help me out!!!!!
Answer:
The domain is the range of values that the function expands over.For example x^2 has a domain of all real values on the ordinary number line.Recognize that 4/x is simply a modification of 1/x.Hence the graph looks like two parabolic motions on the x-y plane So the domain is [tex]( - \infty, 0) U(0 ,\infty )[/tex]Note that X cannot equal 0.Hope this helps! Rate positively and give brainlistThere are 40 GT students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Admission for the students is $120 and each one gets an equal amount to spend on lunch. How much will each GT student be able to spend on lunch?
Step-by-step explanation:
There are 40 DuBois students going on a field trip.
Each one pays their teacher $8.75 to cover admission to the museum and lunch.
Admission for the students is $120 and each one gets an equal amount to spend on lunch.
To Find :
How much will each DuBois student be able to spend on lunch.
Solution :
Amount they paid for admission :
\begin{gathered}P =\$ \dfrac{120}{40}\\\\P=\$3\end{gathered}P=$40120P=$3
Now, amount of money to spend on lunch is 8.75 -8.75−3 = $5.75 .
Hence, this is the required solution.
Answer:
Each GT student gets $3 for lunch
Step-by-step explanation:
40 GT student gave teacher $8.75 so you multiply 40 by 8.75= $350.00
To find how much they need to spend for lunch you divide $120 by 40 student because they paid for it. And you get $3!
I hope this helps!
Jason consumes 1500 calories and needs to
put on weight, so he plans on increasing his caloric intake by 150 calories a day. His sister, Lisa, needs to lose weight and decrease her present intake of 3500 calories by 100 calo ries a day. After how many days will they be consuming the same number of calories?
Answer:
100*150=15000 calories
Step-by-step explanation:
100 times 150 is 15000 because you are multipling 2 people
I don't know if it is correct
just check and if it isn't then check some one elses work.
the area of this figure is?
Answer:
i think its 81
Step-by-step explanation:
Answer:
106 sq meters
Step-by-step explanation:
Break the figure down. I have attached an image as you can see see below.
The figure consists of three rectangles
So Area of rectangle 1 is = 4 x 7 = 28 sq meters
So Area of rectangle 2 is = 10 x 5 = 50 sq meters
So Area of rectangle 3 is = Area of rectangle 1 = 28 sq meters as they are the same rectangles
So area of the whole figure is = Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3
Area of whole figure is = 28 + 50 + 28
Area of whole figure is = 106 sq meters.