Answer:
( r^-7 )^6 = r^-42 ( in exponential form )
( or )
1 / r^42 ( in fractional form )
Step-by-step explanation:
( r^-7 )^6
Formula : -
( a^m )^n = a^( mn )
Here,
a = r
m = - 7
r = 6
mn
= - 7 * 6
= - 42
Hence,
( r^-7 )^6 = r^-42 ( in exponential form )
( or )
( r^-7 )^6 = 1 / r^42 ( in fractional form )
11. Find the equation for the circle with center (−2,−3) and passing through (1,5).
Answer:
(x +2)² + (y+3)² = 73
Use the distance formula to find radius:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
where (x1, y1), (x2, y1) are points
[tex]\rightarrow \sf \sqrt{(-2-1)^2+(-3-5)^2}[/tex]
[tex]\rightarrow \sf \sqrt{73}[/tex]
Eqaution of circle:
(x-h)² + (y-k)² = r²
(x-(-2))² + (y-(-3))² = (√73)²
(x +2)² + (y+3)² = 73
Write each decimal as a fraction in simplest terms
Answer:
A. 25/33
B. 1/3
C. 1/33
D. 25/9
Answer:
Step-by-step explanation:
The area of the garden is 13.92 square meters. A fence is planned around the perimeter of the garden. How many meters of fencing are needed?
The meters of fencing that is needed is = 3.36m
Calculation of needed metersThe garden is designed in a trapezoid form with sides= a; 3.3m and b; 5.28m.
The area of the trapezoid garden = 13.92 m²
Therefore the meters of fencing needed which is height = ?
The formula for the area of trapezoid = A = (a+b/2)h
From the formula make h the subject of formula;
h = A *2/a+b
h = 13.92*2/3.3+5.28
h =27.84/8.28
h= 3.36m
Therefore, the meters of fencing that is needed is = 3.36m.
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PLEASE HELP ME IM IN A HURRY RN
Answer:
x=-32
Step-by-step explanation:
its the last one
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can someone help me please I'm exhausted can someone find the quotient of 36.8 divided by 2.3
Answer:
16
Step-by-step explanation:
36.8÷2.3=16 with no remainders
Answer:
16
Step-by-step explanation:
36.8 divided by 2.3 is 16
I will give BRAINILEST
Answer:50%
Step-by-step explanation: there is no real answer to your question because 50%is not there
A truck's engine needs 1 gallons of oil for an oil change. How many quarts of oil are needed?
Answer:
4.8038
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
there are 4 quarts in a gallon.
hope this helps, and do you mine answering my newst quition.
SOMEONE HELP ME PLEASEE
Answer:
area: 165yd^2 perimeter:26yd or 33yd
Step-by-step explanation:
11ydx15yd= 165yd^2
11yd+15yd=26yd
Answer:
56.1, 36.2
Step-by-step explanation:
For this we need to use the Pythagorean Theorem, which is a^2+b^2=c^2. We have our a and c values, so we can make the equation 11^2+b^2=15^2, or 121+b^2=225. Next, we isolate b.
121+b^2=225
-121 -121
___ ___
0 104
b^2=104
Now, we have to find the square roots of both sides. If we do this, we get b= 10.2.
Now, we can find our perimeter:
11+15+10.2= 36.2
For area, the formula is 1/2(b)h (1/2 times the base and height), so:
1/210.2=5.1
5.1*11=56.1
Hope this helps!
The second showing started 20 minutes late. Will the second
showing be over by 6:30 P.M.? Explain why your answer is reasonable
No, the second showing would be over at 6:50 because it started 20 minutes late. The time is delayed 20 minutes because it started 20 minutes later.
what is t - s
please help me
t - s
-7-(-4)
-7+4
-3
hope it helps...!!!
Answer:
Top Secret
Step-by-step explanation:
top secret. Slang. tough sh#t (a euphemistic initialism used to avoid explicit vulgarity). See also sh#t (def. 31).
Not what you're looking for?
Determine if the sequence is arithmetic. If it is, find the common difference.
1) 35, 32, 29, 26, ...
2) -3, -23, -43, -63, ...
Answer:
1) Arithmetic since it decreases by 3 so, -3n + 38.
2) Arithmetic since it decreases by 20 each time, so -20n+17
Step-by-step explanation:
Jeanette chose 100 of the 300 students in her grade level at random and asked what their favorite team sport to play was. The results are shown in the table below. Based on the results in the table, is it valid to infer that more students in Jeanette′s grade like to play basketball than football? Explain your answer.
Answer:
It is valid that more students in Jeanette′s grade like to play basketball than football because 33 people play basketball and only 18 people play football.
Step-by-step explanation:
Answer:
I think that it is not valid to infer that more students in Jeanette's grade like to play basketball than football because she gathered the results of 100 students only which is not even 100% of the total no of students in her grade.
Step-by-step explanation:
5. Graph the hyperbola ya
16
What are the equations of the asymptotes?
Answer: y = ± [tex]\frac{4}{3}x[/tex]
Step-by-step explanation:
Just believe it, it's the right one. I don't know how to explain it.
What is the solution to the equation
m - 8 = 12
Answer:
m= 20
Step-by-step explanation:
add 8 to both sides,
12+8=20
12. Select all the numbers that are greater than 1.
a.
23
b.
0.63
7
C.
1
-
5
5
d.
7
N
2
e.
w
Im
2.
f.
Answer:
its 23, (0.63 maybe), 7 ,5,5 that’s it
Step-by-step explanation:
-10|n+6| < -10
What are the steps to solve this?
Answer: n < -7 and n > -5
Step-by-step explanation:
-10|n+6| < -10
first divide by -10 on both sides
[tex]\frac{-10|n+6|}{-10}[/tex] < [tex]\frac{-10}{-10}[/tex]
since we are dividing, we have to flip the sign
|n+6| > 1
subtract the absolute value of 6
You are left with n < -7 and n > -5
Find the slope on the table
Answer:
1
Step-by-step explanation:
x = +2 you add 2 every time
y = +2 you add 2 every time
2/2 = 1
how to do this please help me
Answer: ∠BAC = 70°
Step-by-step explanation:
We will use the "Exterior Angle Property" which states that an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
This means that (6a) + (7a) = 130° which we can solve.
(6a) + (7a) = 130°
13a = 130
a = 10°
Now that we have the value of a, we can solve for the angle BAC.
7a
7(10)
70°
D = {x:x is an integer -3
Answer:
yes , because -3 is the whole number
Plssss helllpp. Worth 10 points
What is a synonym for the word "partial?"
incomplete
one-sided
complete
different
Answer:
incomplete
or
The first one
Step-by-step explanation:
hope this helps
have a good day
Which statements are true regarding this scenario? check all that apply. the sample space is {1, 2, 3, 4, 5, 6}. the expected value for the game is 0. the expected value for the game is one-half. the game is fair because the expected value is equal to 0. the game is unfair because the expected value does not equal 0.
Based on the game involving rolling a number cube, the applicable statements are:
The sample space is {1, 2, 3, 4, 5, 6}. The expected value for the game is 0. The game is fair because the expected value is equal to 0.What happens in a game involving rolling a number cube?There are six sides of a number cube which means that the sample space is all the sides the cube can land on which are 1,2,3,4,5, and 6.
Because there are 3 odd numbers which can give you a negative point, and 3 even numbers which can give a point, the expected value is 0 as these cancel each other out.
This makes the game fair because situations that have an expected value of 0 are considered fair because there are no expected losses or profits.
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Answer:
A,C,D
Step-by-step explanation:
short and simple for you ;)
During a sale the regular price of an item is reduced by 20 percent if the sale price is $600 what is the regular price
solve fast pls i am mark you
Answer:
[tex] \bold{ x = - \frac{5}{6} }[/tex]
Step-by-step explanation:
⠀
⠀
⠀⠀⠀⠀■ Question[tex] \large \sf{ \frac{4x + 9}{3x + 11} = \frac{4x + 3}{3x + 2} }[/tex]
Solve for x.
⠀
⠀
⠀⠀⠀⠀□ Solution⠀
⠀
We will cross multiply the above equation⠀
[tex] \sf (4x + 9)(3x + 2) = (4x + 3)(3x + 11) \\ \\ \sf 4x(3x + 2) + 9(3x + 2) = 4x(3x + 11) + 3(3x + 11) \\ \\ \sf 12 {x}^{2} + 8x + 27x + 18 = 12 {x}^{2} + 44x + 9x + 33 \\ \\ \sf 12 {x}^{2} + 35x + 18 = 12 {x}^{2} + 53x + 33[/tex]
⠀
⠀
Now we will take the values of RHS(right hand side) to LHS(left hand side) of the equation. During this, the values of RHS will get opposite sign while going to LHS.⠀
[tex] \sf 0 = 12 {x}^{2} + 53x + 33 - 12 {x}^{2} - 35x - 18 \\ \\ \sf 0 = 18x + 15[/tex]
⠀
⠀
Taking 15 to LHS⠀
[tex] \sf - 15 = 18x[/tex]
⠀
⠀
Dividing both RHS and LHS of the equation by 18⠀
[tex] \large{ \sf \frac{ - \cancel{15} \tiny {5}}{ \cancel {18} \tiny6 } = x} \\ \\ \boxed{ x = - \frac{5}{6} }[/tex]
Answer:
[tex]\textsf{$x=-\dfrac{5}{6}$}[/tex]
Step-by-step explanation:
Given: [tex]\textsf{$\dfrac{4x+9}{3x+11}=\dfrac{4x+3}{3x+2}$}[/tex]
1. Cross-multiply
(4x + 9)(3x + 2) = (4x + 3)(3x + 11)
2. Distribute
⟶ (4x + 9)(3x + 2) = (4x + 3)(3x + 11)
⟶ 4x(3x) + 4x(2) + 9(3x) + 9(2) = 4x(3x) + 4x(11) + 3(3x) + 3(11)
⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33
3. Combine like terms
⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33
⟶ 12x² + 35x + 18 = 12x² + 53x + 33
4. Subtract 12x² from both sides
⟶ 12x² - 12x² + 35x + 18 = 12x² - 12x² + 53x +33
⟶ 35x + 18 = 53x + 33
5. Subtract 35x from both sides
⟶ 35x - 35x + 18 = 53x - 35x + 33
⟶ 18 = 18x + 33
6. Subtract 33 from both sides
⟶ 18 = 18x + 33
⟶ 18 - 33 = 18x + 33 - 33
⟶ -15 = 18x
7. Divide both sides by 18 to isolate the variable
[tex]\longrightarrow\textsf{$\dfrac{-15}{18}=\dfrac{18x}{18}$}\\\\\\\longrightarrow\textsf{$\dfrac{-15}{18}=x$}\\\\[/tex]
8. Reduce
[tex]\longrightarrow\textsf{$\dfrac{-15\div 3}{18\div 3}=x$}\\\\\\\longrightarrow\textsf{$-\dfrac{5}{6}=x$}[/tex]
please please please help me this is for my brother.
Answer:
below
Step-by-step explanation:
it was the first thing I saw
NEED HELP QUICK - State the reference angle and what quadrant the terminal side of the angle is in.
Answer:
the answer is 225
Step-by-step explanation:
y+135=360
y=360-135
y=225
RIGHT triangular prisms A and B are congruent. What is the volume of prism B? A) 420 in3 B) 1080 in3 C) 2160 in3 D) 32400 in3
Answer: B
Step-by-step explanation:
What is the length of the hypotenuse of the triangle?
what is the length of the hypotenuse of the triangle?
what is the length of the hypotenuse of the triangle?
triangle a b c. side a c is 7 feet and side c b is 4 feet. hypotenuse a b is unknown.
startroot 22 endroot ft
startroot 33 endroot ft
startroot 57 endroot ft
startroot 65 endroot ft
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{4}\\ \end{cases} \\\\\\ c=\sqrt{7^2 + 4^2}\implies c=\sqrt{65}[/tex]
7.
Quadrilateral PQRS is inscribed in a
circle. The ratio of m/P to m/R is 2: 4.
What is mZR?
F 30°
H 120°
G 60°
Not here
Answer: Ha
Step-by-step explanation:
Can you work out what the
next number in the pattern
should be? 4 – 6-9-6-14 - 6
-
Look the left side as right is constant (6).
9-4=514-9=5So common difference is 5..
next no=14+5=19
Next term
19-6The neighborhood movie store rents a game machine for $12.50 plus $1.50 per day. the downtown store rents the same machine for $4 per day with no initial fee. after how many days will the total rental charge be the same for each store?
In 5 days the total rental charge is the same for each store.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
A movie store rents a game machine for $12.50 plus $1.50 per day. The downtown store rents the same machine for $4 per day with no initial fee.Let x be the days. The two-equation will be formed as:-
Total amount = 1.5x + 12.5
Total amount = 4x
For the same total amount, we will equate the two equations.
1.5x + 12.5 = 4x
12.5 = 4x - 1.5x
12.5 = 2.5x
x = 12.5 / 2.5
x = 5 days
Therefore In 5 days, the total rental charge is the same for each store.
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