[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{1}{2}\theta r^2~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=12\\ \theta =\frac{3\pi }{4} \end{cases}\implies \begin{array}{llll} A=\cfrac{1}{2}\left( \cfrac{3\pi }{4} \right)(12)^2\implies A=\cfrac{432\pi }{8} \\\\\\ A=54\pi \implies \stackrel{using~\pi =3.14}{A=169.56} \end{array}[/tex]
Simplify the expression. Write your answer as a power.
(-3)⁴/(-3)¹
The simplified expression is
Answer:
[tex](-3)^3[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{(-3)^4}{(-3)^1}=(-3)^{4-1}=(-3)^3[/tex]
What is the value of σ(x – 1)2 for the scores 1, 2, 1, 4?
The value of (x-1)^2 at scores 1,2,1, and 4 are 0,1,0,8 respectively.
What is quadratic equation?Quadratic equations are the polynomial equations of degree 2 in one variable of type [tex]ax^2+bx+c[/tex] where a,b,c are constant and the x is variable.
Now from the given question we have [tex](x-1)^2[/tex].
[tex](x-1)^2=x^2-2x+1[/tex]
Now we will find the value of scores 1,2,1,4 by putting in the equation.
At
[tex]x=1 \ \ \ =(1-1)^2=0\\\\\\x=2\ \ \ =(2-1)^2=1\\\\\\x=1\ \ \ =(1-1)^2=0\\\\\\x=4\ \ \ =(4-1)^2=8[/tex]
Hence the value of (x-1)^2 at scores 1,2,1, and 4 are 0,1,0,8 respectively.
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Solve by synthetic or long division
2x^2+9x+8/ -x
Answer:
Use math way because it is a good way to solve it
A punch recipe calls for 4 cups of lemonade to 3 cups of sparkling juice. If Sara is making 42 cups of punch, the how many cups of lemonade does she need/
A.) Greg says that she needs 16 cups of lemonade
B.) Grace says that she needs 24 cups of lemonade
Answer:
Grace is correct. She needs 24 cups of lemonade.
Step-by-step explanation:
With the current ratio 4:3, if you were to have 24 cups of lemonade, then you would have 18 cups of sparkling juice. 24 + 18 = 42 total cups of punch.
Gio has a balance of $3,230 on his credit card that has a Apr of 22%. He pays the current of $105.. if gio wants to pay off his balance in 24 months, determine the monthly payment.
The minimum payment is enough to pay off the balance in 24 months.
B. Gio can eliminate $62.57 from Entertainment/Shopping
C. Gio can eliminate $167.57 from Entertainment/Shopping
D. Gio can eliminate $105 from Entertainment/Shopping
In order to achieve his goal of paying the credit debt off in 24 months, B. Gio can eliminate $62.57 from Entertainment/Shopping.
What amount will Gio pay to eliminate the debt in 24 months?If Gio is paying $105, the number of months that he will be able to pay back the debt in, can be found using credit card debt calculators to be 3 years and 10 months.
In order to pay back his credit card debt in 24 months, the minimum amount he needs to pay is:
= $167.57 per month
Considering that he is currently paying $105, the amount extra that he needs to pay is:
= 167.57 - 105
= $62.57
This can be acquired from Entertainment/ Shopping.
In conclusion, option B is correct.
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What is size of
angle p?°
Answer:
A) 75°
Step-by-step explanation:
It is the property of a polygon that the sum of the external angles is equal to 360°.
===============================================================
Solving :
⇒ p + 55 + 30 + 75 + 55 + 70 = 360
⇒ p + 85 + 130 + 70 = 360
⇒ p + 285 = 360
⇒ p = 360 - 285
⇒ ∠p = 75°
Answer :
A) 75°
because the property of polygon is equal to 360° the sum of external angles.
Hope it will help you
7) At a baseball game Jim buys 5 hotdogs and 2 drinks for $17. Andy buys 3 hotdogs and 1
drink for $9.50. What is the price of a hotdog?
a. $1.50
b. $2
c. $2.50
d. $3
Answer: b. $2.00
Step-by-step explanation:
The access code for a company's security system consists of four digits. Each digit can be 0 through 9. The company want to issue a different security code to each of its 200 employees. The company also has to re-issue new codes to each employee every month for security purposes. How many access codes are possible if..
Each digit can be used only once and NOT repeated?
Please help someone :(
Answer:
2 codes are possible
Step-by-step explanation:
4 6
2571
0389
There are only 10 digits and you can only use the digits onces so the answer would be 2 codes are possible.
The number of possible codes will be 5,040.
How to get the possible codes?If each digit can be used only once, then the number of possible access codes is calculated as follows:
The first digit can be any of the 10 digits (0 through 9).
The second digit can be any of the remaining 9 digits (since one digit has already been used).
The third digit can be any of the remaining 8 digits.
The fourth digit can be any of the remaining 7 digits.
Therefore, the total number of possible access codes is:
10 x 9 x 8 x 7 = 5,040
So, there are 5,040 possible access codes if each digit can be used only once and not repeated.
Since there are 200 employees, the company has enough unique codes for each employee for 25 months. After that, the codes will have to be repeated, which may compromise the security of the system.
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The sunglasses that Ramon wants to buy
are 50% off the original price of $85.00 If
he also has to pay 6% sales tax, what will
be the total cost of the sunglasses?
$.
Asap please answer
Sixty-four students buy their lunch at school. This is 16% of the total students.
How
many students are in the school?
Answer:
400 students
Step-by-step explanation:
64 - 16%
? - 100%
(100*64)/16
= 400
The diameter of a circle is 25 m. Find its area to the nearest whole number.
Answer:
Answer down below
Step-by-step explanation:
y = 4.x - 5
Y = 2x + 3
Is (4, 11) a solution of the system?
Can anyone solve this correctly?
Answer:
5.32 inches
Step-by-step explanation:
It is given that 1 inch represents 50 feet, or 1 in = 50 feet.
The actual dome is 266 feet. To find the amount of inches, divide 266 with 50:
266 total feet/50 feet per inch = 5.32 inches.
The scale model in inches, therefore, would be 5.32 inches.
~
Answer:
her model will be 5.32 inches
Step-by-step explanation:
use the butterfly proportions method
Make a table of inches to feet. then cross multiply to find 'y' and boom. watch me solve it for a better understanding. Its not as difficult as it seems
inches feet
1 50
y 266
266 x 1 = 50y
266 ÷ 50 = y
y = 5.32
her model will be 5.32 inches
COULD YOU GUYS HELP ME WITH THIS I NEED IT UNTIL TOMMORROW.
Answer:
2) option (d)
3) option (c)
4) option (b)
5) option (b)
6) option (a)
Consider the division of 8y2 – 12y + 4 by 4y.
What are the values of a and b?
a = 2y and b = 3
a = and b = –3y
a = 2y and b = –3
a = and b = 3y
Notice that the dividend [tex]8y^2-12y+4[/tex] has tree terms with [tex]a=8y^2[/tex], [tex]b=-12y[/tex], c [tex]c=4[/tex]
Now, to divided our dividend [tex]8y^2-12y+4[/tex] by the monomial (single term) [tex]4y[/tex], the easiest thing to do is divide each term of the dividend by the monomial:
[tex]8y^2-12y+4[/tex] ÷ [tex]4y[/tex] = [tex]\frac{8y^2-12y+4}{4y}=\frac{8y^2}{4y}-\frac{12y}{4y}+\frac{4}{4y}=2y-3+\frac{1}{y}[/tex]
After performing the division we get that now [tex]a=2y[/tex] and [tex]b=-3[/tex]
We can conclude that the correct answer is a = 2y and b = –3
Evaluate each expression.
a. 7 + 2³
b. 9 • 3¹
c. 20 - 2⁴
d. 2 • 6²
e. 8 • (1/2)²
f. 1/3 • 3³
g. (1/5 • 5)⁵
Answer:
The answers are
→ a. 15
→ b. 27
→ c. 4
→ d. 72
→ e. 2
→ f. 9
→ g. 1
Step-by-step explanation:
Given expressions:
a. 7 + 2³
b. 9 • 3¹
c. 20 - 2⁴
d. 2 • 6²
e. 8 • (1/2)²
f. 1/3 • 3³
g. (1/5 • 5)⁵
Solve:a. 7 + 2³
[tex]7+2^3[/tex]
[tex]2^3 = 8[/tex]
[tex]8 + 7 = 15[/tex]
Hence, 15 is your answer.
b. 9 • 3¹
[tex]9*3^1[/tex]
⇒ [tex]9*(3)[/tex]
⇒ [tex]27[/tex]
Hence, 27 is your answer.
c. 20 - 2⁴
[tex]20 - 2^4[/tex]
[tex]2^4 = 16[/tex]
[tex]20-16 = 4[/tex]
Hence, 4 is your answer.
d. 2 • 6²
[tex]2 * 6^2[/tex]
⇒ [tex]2*6^2[/tex]
⇒ [tex]2*(6*6)[/tex]
⇒ [tex]72[/tex]
Hence, 72 is your answer.
e. 8 • (1/2)²
[tex]8 * (\frac{1}{2})^2[/tex]
⇒ [tex]8*((\frac{1}{2})*(\frac{1}{2}))[/tex]
⇒ [tex]2[/tex]
Hence, 2 is your answer.
f. 1/3 • 3³
[tex]\frac{1}{3} * 3^3[/tex]
⇒ [tex]9[/tex]
Hence, 9 is your answer.
g. (1/5 • 5)⁵
[tex](\frac{1}{5} * 5)^5[/tex]
⇒ [tex]1*1*1*1*1[/tex]
⇒ [tex]1[/tex]
Hence, 1 is your answer.
- ✨7272033Alt✨Rewrite the radical expression as an expression with a rational exponent.
4x5
О
x20
х
It don’t like these problems
Answer:
The first option.
Step-by-step explanation:
Use the base law of exponents, which states that (x^m)^n equals x^(m * n).
The height, h, in feet of a flag on one blade of a windmill as a function of time, t, in seconds can be modeled by the equation h = 3 sine (startfraction 4 pi over 5 endfraction (t minus one-half)) 12. what is the minimum height of the flag? 3 feet 9 feet 12 feet 15 feet
Answer:
9 feet
Step-by-step explanation:
Answer: B, 9 feet
Step-by-step explanation: edge :)
the top of a ladder rest at a height of 20 feet against the side of the house if the base of the ladder is 7 feet from the house what is the length of the ladder
let the length of the ladder be x Using Pythagoras theorem, |hyp|^2=|opp|^2+|adj|^2
x^2=20^2+7^2
x^2= 400+49
x^2= 449
Square root of both sides:
√x^2= √449
x= 21.19ft
Thus, the length of the ladder is 21.19feet.
input 19
function x-5
what output
Answer:
14
Step-by-step explanation:
"input 19" means use 19 in place of x.
"function x - 5" means use this rule to change the input number...take the number and subtract 5.
"Output" means , what do you end up with?
x - 5
19 - 5
14
What is the width of a rectangle with a length of
5/6 feet and an area of 2 square feet?
Answer:
2.4 feet
Step-by-step explanation:
[tex] \frac{5}{6} w = 2[/tex]
[tex]w = 2 \times \frac{6}{5} = \frac{12}{5} = 2.4[/tex]
DUE TOMMOROW PLEASE HELP:))The perimeter of the square is 36 m. Work out the length of its diagonal.
Answer:
[tex]9\sqrt{2}[/tex] m.
Step-by-step explanation:
Side of the square is a
Perimeter is 4 * a = 36
a = 36 / 4
a=9
Diagonal is a[tex]\sqrt{2}[/tex]
[tex]9\sqrt{2}[/tex]
just a quick addition to the reply above.
Check the picture below.
Please someone help me with this
Answer: I believe I answered this on a later post.
Step-by-step explanation:
I did.
What is the area, in square centimeters, of the shape below?
Answer:
8.5 sq cm
Step-by-step explanation:
5x3.4=17÷2=8.5
You invest $500 into an account that collects 1% interest each month. If you add an additional $50 each week, what will the balance of the account be after 5 months?
Answer:
$1555.91
Step-by-step explanation:
First Month:
You start out with $500.
You add $200 in the first month, and have 700.
Multiply 700 by 1.01, to add the interest and you get 707.
Second Month:
707 + 200 = 907
907 x 1.01 = 916.07
Third Month:
916.07 + 200 = 1116.07
1116.07 x 1.01 = 1127.2307
Fourth Month:
1127.2307 + 200 = 1327.2307
1327.2307 x 1.01 = 1340.503007 (round to .50)
Fifth Month:
1340.50 + 200 = 1540.50
1540.50 x 1.01 = 1555.905
Round to 1555.905 1555.91, and there's your answer. Hope this helps!
PLEASE HELP ASAP! ANSWER GETS BRAINLIEST!
The following data set represents the population growth or decay in the past 5 years. (attachment below)
Determine which value is the independent value and the dependant value. Create a set of ordered pairs for the relation.
Answer:
it goes up 80 in every column in this problem except the 6,. so the answer is 6,591 423
I hope I help
A(x)=x(50-x)
When is A(x) at its maximum?
Answer:
When X = 25
Step-by-step explanation:
Use derivative = 0 to locate the turning point
50 - 2X = 0 => X = 25
There are 5 blue blocks, 7 red blocks, 2 yellow blocks, and 12 green blocks. What is the ratio of yellow blocks to total blocks?
Answer:
2:26.
Step-by-step explanation:
There are 26 blocks total, and compared to the yellow blocks, there are only two. So that would be 2:26.
Answer:
2:26
Step-by-step explanation:
A ratio is just a mathematical way to show a relationship between things. I wrote it with a colon (:), but you can write it as a fraction or words "x to b."
Most of the time in math, the order of how the question is asked doesn't matter. When it's a ratio, it does matter. Because they ask about the yellow blocks first, that has to be the first part of the ratio.
There are 2 yellow blocks.
Next, it asks for the total. That will be the other part. Add all the total blocks together: 5+7+2+12= 26.
There are 26 total blocks.
Technically, we can simplify this down to 1:13, but it's not asking to simplify it, so let's just leave it as 2:26.
Solve the following system:
3x + 2y = 7
-4.5x - 3y = -10.5
Answer:
infinitely many solutions
Step-by-step explanation:
The system of equations :
3x + 2y = 7-4.5x - 3y = -10.5Multiplying Equation 1 times 3 and Equation 2 times 2 :
9x + 6y = 21-9x - 6y = -21Putting the equations in standard form after simplifying :
6y = -9x + 21 ⇒ y = -1.5x + 3.5-6y = 9x - 21 ⇒ y = -1.5x + 3.5As both equations are the same, the system will have infinitely many solutions.
Write an equation to represent the following statement. 51 5151 divided by 3 33 is k kk
Answer:
[tex]k \: kk \: = \frac{515151}{333} [/tex]