Answers
Answer:
Step-by-step explanation:
= [tex] ( {p}^{ \frac{1}{2} } )^{3} \times \sqrt{p ^{6} } [/tex]
= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ \frac{1}{2} × 6} } [/tex]
= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ 3} } [/tex]
= [tex] ( {p})^{ \frac{3}{2} + 3} [/tex]
= [tex] ( {p})^{ \frac{3 + 3}{2}} [/tex]
= [tex] ( {p})^{ \frac{9}{2}} [/tex]
Related Questions
1)An octagon can be divided into 8 congruent triangles with base angles that are 67.5°. This octagon has a side length that is 8 cm.
2)What is the area of each triangle?
3)What is the area of the octagon?
4) Use your work from above to derive a generic formula for any octagon with side length that is n units.
Answers
Answer:
(a) [tex]Area = 14.7824cm^2[/tex]
(b) [tex]Area = 118.2592cm^2[/tex]
(c) [tex]Area = 4nh[/tex]
Step-by-step explanation:
Given
[tex]\theta = 67.5[/tex]
[tex]b= 8cm[/tex] --- base
[tex]n = 8[/tex] --- triangles
Solving (a) The area of each triangle
First, calculate the height (h) of each triangle using:
[tex]\sin(67.5) = \frac{h}{b/2}[/tex] --- i.e. we consider half of the triangle
[tex]\sin(67.5) = \frac{h}{8/2}[/tex]
[tex]\sin(67.5) = \frac{h}{4}[/tex]
Solve for h
[tex]h =4*\sin(67.5)[/tex]
[tex]h =4*0.9239[/tex]
[tex]h =3.6956[/tex]
The area of each triangle is:
[tex]Area = \frac{1}{2} *b * h[/tex]
[tex]Area = \frac{1}{2} *3.6956 * 8[/tex]
[tex]Area = 14.7824cm^2[/tex]
Solving (b): Area of the octagon
This is calculated as:
Area = 8 * area of 1 triangle
[tex]Area = 8 * 14.7824cm^2[/tex]
[tex]Area = 118.2592cm^2[/tex]
Solving (c): Area of octagon of side length n
In (a), we have:
[tex]Area = \frac{1}{2} *b * h[/tex]
Replace b with n
[tex]Area = \frac{1}{2} *n * h[/tex]
Multiply by 8 (the sides) to get the area of the octagon
[tex]Area = 8 * \frac{1}{2} *n * h[/tex]
[tex]Area = 4nh[/tex]
What is the y-intercept of this line?
y = 4x + 5
b = [?].
Enter
I am stumped on these!
Answers
Y= mx + b
The b is a variable that indicates where the line will pass through on the y-axis
Sam started a dog-walking business. He charges $5 for each dog for a thirty-minute walk. How much dor
Sam carn per hour walking just one dog?
Christie sells lemonade in her driveway. She spends $20 for supplies: lemons, sugar, and cups. With these
upplies, she can make enough lemonade to sell 100 cups of lemonade. If she charges a quarter per cup,
ow much profit will she make?
Answers
Answer: [tex]\$10,\ \$5[/tex]
Step-by-step explanation:
(a) Given
Sam charge $5 for each dog for a thirty minute walk
For an hour which is double the thirty minutes, it must be double of the same charge.
[tex]\Rightarrow 2\times 5=\$10[/tex]
(b)Given
With $20, Christie sells 100 cups of lemonade with a quarter per cup charge
For 100 cup, she generate a revenue of
[tex]\Rightarrow \dfrac{1}{4}\times 100\\\\\Rightarrow \$25[/tex]
So, she earns [tex]25-20=\$5[/tex] that is , her profit is [tex]\$5[/tex]
Ryland rolls a numbered cube that has sides labeled 1 - 6 and then flips a coin. What is the probability that he rolls an odd number and lands on tails?
1/2
1/4
3/4
1/8
Answers
Answer:
1/4
Step-by-step explanation:
Twice a number is 14. What is the number .
Answers
Answer: 7
Step-by-step explanation: 7+7=14
A rectangular garden has an area of 37 square miles. If its length is 28 miles, what is its width?
Input your answer as a fraction.
Answers
Answer:
[tex]\frac{37}{28}[/tex] miles
Step-by-step explanation:
Use the area formula, A = lw, where l is the length and w is the width.
Plug in the area and length into the formula, and solve for w:
A = lw
37 = 28w
37/28 = w
So, as a fraction, the width of the garden is [tex]\frac{37}{28}[/tex] miles
Answer:
37/28 =w
Step-by-step explanation:
Area for a rectangle is given by
A = l*w
Substitute in what we know
37 = 28*w
Divide each side by 28
37/28 = 28w/28
37/28 =w
Nenenennenwnjwnnwnwnnw
Answers
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given sin 0 = 73, find cos 0.
27
cos 6 = 2
Simplify the fraction.
Answers
Answer:
1/2
Step-by-step explanation:
According to pythagoras theorem;
(sinx)²+(cosx)² = 1
Given that sinФ = √3/2
Substitute into the formula
(√3/2)²+(cosx)² = 1
3/4+(cosx)² = 1
(cosx)² = 1 - 3/4
(cosx)² = 1/4
cos x = √1/4
cos x = 1/2
Hence the value of cosФ is 1/2
If Mrs. fields herself wants to verify that rate by beginning with a small sample of 10 randomly selected consumers, find the probability that exactly 9 of the 10 consumers recognize her brand name. Also, find the probability that the number who recognize her brand name is not nine.
Answers
Answer:
The correct approach will be "0.612580".
Step-by-step explanation:
Given:
Randomly selected customers,
n = 10
Probability of recognition,
p = 90%
or,
= 0.9
q = 1 - p
= 1 - 0.9
= 0.1
Now,
The probability that 9 out of 10 clients are likely to be familiar with the brand will be:
⇒ [tex]P(X=r)=nCr\times (p)^r\times (q)^{(n-r)}[/tex]
⇒ [tex]P(X=9)=10C_9\times (0.9)^9\times (0.1)^{(10-9)}[/tex]
[tex]=10C_9\times (0.9)^9\times (0.1)^1[/tex]
[tex]=10\times (0.9)^9\times 0.1[/tex]
[tex]=0.387420[/tex]
hence,
The probability that not nine seem to be the numbers recognizing her brand name will be:
⇒ [tex]P(X=not \ 9)=1-P(X=9)[/tex]
[tex]=1-0.387420[/tex]
[tex]=0.612580[/tex]
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
a. 12 yd
b. 36 yd
54 yd
d. 144 yd
Please select the best answer from the choices provided
Answers
Answer:
B. 36 yd
Step-by-step explanation:
I calculated it logically
What’s the area of this rectangle
Answers
Answer:
49/5 mm
Step-by-step explanation:
7/2×14/5
multiply the numerator and denominator
98/10
simplify
49/5 or
9 4/5 mm
You pick a word at random from the set of all words of length six of letters of the alphabet with no repeated letters. What is the probability that the word begins and ends with a vowel
Answers
Answer: [tex]\dfrac{2}{65}[/tex]
Step-by-step explanation:
Given
There is a six letter word with no repeated letters
Number of ways of arranging 6 letters out of 26 letters is [tex]^{26}P_6[/tex]
For the 6 letter word with vowels in the beginning and the end can be formed by selecting 2 vowels out of 5 available.
First place has 5 choices to fill and the last place left with 4 choices to fill
Remaining 4 places can be filled by [tex]^{24}P_4[/tex] ways
So, the required probability is given by
[tex]\Rightarrow \dfrac{5\times ^{24}P_4\times 4}{^{26}P_6}=\dfrac{2}{65}[/tex]
This box is packed with cubes that measure one cubic foot.
enter the volume of the box in cubic feet.
Answers
Answer:
72ft^3
Step-by-step explanation:
I first took a single slice off the box and counted how many cubes there were. By looking at the blue side, I counted 12 cubes in that slice. I then counted how many slices were in the box, which were 6.
12* 6 = 72ft^3
please help with this question i will mark you brainliest!
Answers
9514 1404 393
Answer:
equation: y = 4x
graph is attached
Step-by-step explanation:
Let y represent the cost of the peaches in dollars. Let x represent their weight in pounds. Then the relation between the two variables is ...
cost = (cost per pound) × (pounds)
y = 4x
__
This graphs as a line through the origin with a slope of 4. In the attached, the x- and y-axes have different scales so more of the graph can be seen.
Add the following
-5+(-7)+9+(-3)
- 5+(-7)+9+(-3)=(Simplify your answer.)
Answers
Answer:
-5+(-7)+9+(-3) = -6
Step-by-step explanation:
We need to add the following i.e.
-5+(-7)+9+(-3)
We know that, +(-) = - (minus)
So,
-5-7+9-3 = -12+6
= -6
So, the value of the given expression is equal to -6.
100 POINTS HELP!
I WILL GIVE BRAINLIEST TO THE BEST ANSWER
FAKE ANSWERS WILL BE REPORTED
Answers
Answer:
1.
In triangle ∆AFD ,∆BGD ,∆CHD
<AFD=<BGD=<CHD
[being corresponding angle]
<DAF=<DBG=<DCH
[being corresponding angle]
<D is common for all.
So
∆AFD ~∆BGD ~∆CHD
[By A .A .A. axiom]
look
again
at picture pasted
By AAA axiom ∆AFD , ∆BGD , ∆CHD are similar with each other.
What is Similarity of triangle?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
a). In ΔAFD, ΔBGD, ΔCHD
∠AFD = ∠BGD = ∠CHD [being corresponding angle]
∠DAF = ∠DBG = ∠DCH [being corresponding angle]
∠D is common for all.
So ∆AFD ~∆BGD ~∆CHD [By A .A .A. axiom]
Learn more about similarity of triangle from:
https://brainly.com/question/25882965
#SPJ2
If observed frequencies are 5,10,15 and expected frequencies are each equal to 10 then chi square value is
Answers
Answer:
5
Step-by-step explanation:
Given :
Observed values = 5, 10, 15
Expected freqencies = 10
χ² = Σ(observed - Expected)² / Expected
χ² = (5-10)²/10 + (10-10)²/10 + (15-10)²/10
χ² = 25/10 + 0/10 + 25/10
χ² = 2.5 + 0 + 2.5
χ² = 5
A blue die and a red die are thrown in a game. If the sum of the two numbers is 7 or 11, the player wins $10. If the sum of the two numbers is 12, then the player wins $20. In all other cases, the player loses a dollar. What are the expected winnings of the player in one game
Answers
Answer:
The expected winnings of the player in one game = 2.55
Step-by-step explanation:
Given - A blue die and a red die are thrown in a game. If the sum of the two numbers is 7 or 11, the player wins $10. If the sum of the two numbers is 12, then the player wins $20. In all other cases, the player loses a dollar.
To find - What are the expected winnings of the player in one game ?
Solution -
Given that,
A blue die and a red die are thrown in a game.
The Sample Space becomes -
S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (4, 4), (6, 5), (6, 6) }
So,
n(S) = 36
Now,
Let A be the outcome that, the sum of the two numbers is 7 or 11
A = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)
(6, 5), (5, 6) }
So,
n(A) = 8
So,
P(A) = n(A)/ n(S)
= 8/ 36
= 2/9
⇒P(A) = 2/9
Now,
Let B be the outcome that, the sum of the two numbers is 12
B = {(6, 6)}
So,
n(B) = 1
So,
P(B) = n(B)/ n(S)
= 1/ 36
⇒P(B) = 1/36
Now,
Expected value, E(x) = ∑ x P(x)
= 10 × P(A) + 12 × P(B)
= 10 × 2/9 + 12 × 1/36
= 20/9 + 12/36
= (20×4 + 12)/36
= (80 + 12)/36
= 92/36
= 2.55
⇒Expected value, E(x) = 2.55
∴ we get
The expected winnings of the player in one game = 2.55
Based on the percentage of total daily calories in the number of calories needed how many biscuits and packages of pemmican and packages of butter and cocoa just one person need each day
(5600 calories per person)
pls help
Answers
Answer:
Number of biscuit needs = 28 packets
Number of Pemmican needs = 18 packets
Number of Butter cocoa needs = 4 packets
Step-by-step explanation:
GIven:
Total calorie required = 5,600 calories
Biscuits 80 (Calorie per packet) 40% of total diet
Pemmican 140 (Calorie per packet) 45% of total diet
Butter cocoa 210 (Calorie per packet) 15% of total diet
Find:
Number of biscuit, Pemmican and butter cocoa need
Computation:
Number of biscuit needs = [5,600(40%)]/80
Number of biscuit needs = [2,240]/80
Number of biscuit needs = 28 packets
Number of Pemmican needs = [5,600(45%)]/140
Number of Pemmican needs = [2,520]/140
Number of Pemmican needs = 18 packets
Number of Butter cocoa needs = [5,600(15%)]/210
Number of Butter cocoa needs = [840]/210
Number of Butter cocoa needs = 4 packets
Gor is running a bakery. He has made a street sign to direct people to his
bakery. He painted one side of the post and sign. What is the painted area?
15 in
15 in
8 in
50 in
6 in
A. 390 square inches
B. 585 square inches
Answers
Answer:
B.
Step-by-step explanation:
The street sign is composed of two rectangles and 1 triangle.
Painted area = area of triangle + area of rectangle 1 + area of square
✔️Area of triangle = ½bh
b = 15 in.
h = 8 in.
Area of triangle = ½*15*8 = 60 in.²
✔️Area of rectangle 1 = L*W
L = 50 in.
W = 6 in.
Area = 50*6 = 300 in.²
✔️Area of Square = s²
s = 15 in.
Area = 15² = 255 in.²
✅Painted area = 60 + 300 + 225 = 585 in.²
Answer:
B. 585 square inches :)
Step-by-step explanation:
Circle 0.5 of the stars.
There are 5 stars in this role.
There are 5 stars in this role.
How many do we circle in total?
Answers
Answer:
2.5, 2 and 1 half stars
Step-by-step explanation:
0.5=1/2, so 5/2= 2.5
Answer:
5
Step-by-step explanation:
it is asking for .5 of the stars, which in percentage is 50%. if the total is 10 because 5 stars in each row and there are 2 rows. you add the numbers of stars per row, then divide it by 2, and you would get 5; so you would circle 5 stars.
The function below represents the number of zombies, N, where t is the number of years since the zombies gained control of Earth:
N(t) = 300 · 2-t/8
Is this exponential growth or decay?
Answers
See explanation:
Answer:
This is decay. The exponent has a negative sign. The reciprocal of 2 is 0.5. So N(t) can be rewritten as 0.5^(t/8). The base is fraction less than 1, which is decay.
Step-by-step explanation:
sample response on edgen 2022
a high school chemistry class is learning how to test a sample for blood type. About 35% of people have type O blood and about 65% of people have either type A, B, or AB. The test they are using is 91% accurate for determining blood type that is A, B, or AB. It is 94% accurate for blood type O. Approximately what is the probability that a sample is tupe AB but yields an incorrect test result
Answers
Answer:
Hey there I think the answer is 0.06 hopefully that helps
Step-by-step explanation:
what is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?
Answers
Step-by-step explanation:
We can set up the ration of the radian angle θ in your problem in terms of degrees given as the ratio: (Θ/2·pi) = (72/360), solving for Θ we get Θ = 1.26 radians. Then for the arc length s = Θ·r using this value gives s = 1.26·4 = 5.04
i dont really know how to do this can somebody help?
Answers
Answer:
(8, 11π/6)
Step-by-step explanation:
r= √(4√3)²+(-4)² = √48+16=√64=8
0 = tan~¹ -4/(4√3)
= tan~¹ -⅓√3 = 330° = 11π/6
the polar coord. => (8, 11π/6)
9514 1404 393
Answer:
8∠11π/6
Step-by-step explanation:
To simplify the way we talk of this number, we will refer to it as a vector. We'll assume its head is at the given coordinates, and its tail is at the origin. The magnitude of the vector is the root of the sum of the squares of its components:
[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(4\sqrt{3})^2+(-4)^2}=\sqrt{48+16}=\sqrt{64}\\\\r=8[/tex]
The angle of the vector with respect to the +x axis is ...
[tex]\theta=\arctan{\dfrac{y}{x}}\qquad\text{a 4-quadrant arctangent}\\\\\theta=\arctan{\dfrac{-4}{4\sqrt{3}}}=-\arctan{\dfrac{1}{\sqrt{3}}}\qquad\text{a 4th-quadrant angle}\\\\\theta=\dfrac{11\pi}{6}[/tex]
In magnitude∠angle notation, the polar coordinates are ...
(4√3, -4) ⇔ 8∠(11π/6) . . . . . θ in radians
_____
Additional comment
Spreadsheets generally have an ATAN2(x, y) function that will return a 4-quadrant version of the angle. The usual ATAN( ) function will give the angle only in quadrants I or IV.
Some graphing calculators may also have the ATAN2 function. Some will simply do the entire conversion for you, without any need to deal separately with magnitude and angle. (You may need to write the number as a complex number, x +iy.)
-2x +9y=8
x=y+3
Step by step
Answers
So x = y + 3 is a equation we can plug in for x to find the y value.
-2(y+3) + 9y = 8
-2y - 6 + 9y = 8
7y - 6 = 8
7y = 15
y = 15/7
Plug in for the y value since that is now determined to find out x value.
x = 15/7 + 3
x = 15/7 + 21/7
x = 36/7
A square storage unit has a volume of 607.5 ft3. The height of the unit is 7.5 ft. What are the length and width of the storage unit?
length of 1 ft; width of 81 ft
length of 2 ft; width of 40.5 ft
length of 3 ft; width of 27 ft
length of 9 ft; width of 9 ft
Answers
Answer:
9 ft by 9 ft
Step-by-step explanation:
Answer:
length of 9 ft; width of 9 ft
Step-by-step explanation:
It is because you see it says it is square storage, which means its length and width have to be the same, and when you do 607.5 divided by 7.5, you get 81 which you can guess is a length of 9 ft; width of 9 ft because 9 x 9 equals to 81. I hope it helps! :)
Each question Sandra answers incorrectly changes her overall score by -3/4 points. Sandras overall score was -4 1/2 points , and then she answered the last question incorrectly. What was Sandras final score
Answers
What is the shape of the base of the cylinder?
Answers
Answer:
circle
Step-by-step explanation:
Enter the correct answer in the box. Write the sum of [tex]7 \sqrt[]{28x^6} + 4\sqrt[]{7x^6}[/tex] in simplest form, if x ≠ 0.
Answers
Answer:
18x^3sqrt(7)
Step-by-step explanation:
14x^3sqrt(7)+4x^3sqrt(7); factor our 4 in the first radical and factor out x^6 in both radicals
Add like terms;
18x^3sqrt(7).