Answer:
if you Simplify the expression it is 112x
(or 120-8x if 30x 24 is multiplication)
Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!
The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the center of the circle be P ( -4 , 9 )
Let the diameter of the circle be d = 10 units
So , the radius of the circle r = d/2 = 5 units
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
So , the equation of circle is
( x + 4 )² + ( y - 9 )² = 25
Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25
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the sum of the first six terms of a G.P is 9 times the sum of the first three terms . what is the first term ?
Without any more information, the first term can be any number.
Let a be the first term in the geometric progression, and let r be the common ratio between consecutive terms. Then
a + ar + ar ² + ar ³ + ar ⁴ + ar ⁵ = 9 (a + ar + ar ²)
ar ³ + ar ⁴ + ar ⁵ = 8 (a + ar + ar ²)
r ³ + r ⁴ + r ⁵ = 8 (1 + r + r ²)
r ³ (1 + r + r ²) = 8 (1 + r + r ²)
r ³ = 8
r = 2
Now with this ratio, the sum of the first six terms is
a (1 + r + r ² + r ³ + r ⁴ + r ⁵) = a (1 - r ⁶)/(1 - r) = 63a
while the sum of the first three terms is
a (1 + r + r ²) = a (1 - r ³)/(1 - r) = 7a
and of course 63a = 9 • 7a, and this is true for any a.
What is the common difference for this arithmetic sequence?
45, 39, 33, 27, 21, .
O A. 45
OB. 6
OC. 39
OD. -6
Answer:
Concept: Series
Start by taking the first and second An and finding the difference You can then prove your result by taking any ordinary An and subtracting it by An-1Hence 45-39= 6 To prove our result of 6; 39-33= 6 Hence the common difference is Rate brainlist
a) What is the equation of line A?
b) What is the equation of line B?
Answer:
Line A is x = -3
Line B is y = 2.5
Step-by-step explanation:
Let t= the amount Thomas earned. Thomas earned $ 49 or more
The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of the rectangle.
Step-by-step explanation:
Let the width=x
Length =6x-4
As we know that in a rectangle
[tex]{\boxed{\sf Area=LB}}[/tex]
Substitute the values[tex]\hookrightarrow\sf x (6x-4)=20 [/tex]
[tex]\hookrightarrow\sf 6x^2-4x=20 [/tex]
[tex]\hookrightarrow\sf 6x^2-4x-20=0 [/tex]
Here a=6, b=-4, c=-20.use quadratic formula[tex]\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}[/tex]
If y=-7 when = -21, determine x when y= 9
Correct Question :-
If y = - 7 & x = - 21 , determine x when y = 9Given :-
y = - 7x = - 21We need to find :-
When y = 9 find xSolution :-
Using proportion ,
- 7 : - 21 : : 9 : xBy means & extremes ,
=> - 7x = - 21 × 9
=> x = ( - 21 × 9 ) / - 7
=> x = 3 × 9
=> x = 27
Hence , when y = 9 → x = 27
A bank manager is interested in the average length of time that customers are willing to wait in line before they give up and leave the bank. Match the vocabulary word with its corresponding example.
The average length of time that the 25 customers waited before leavingthe bank
The list of times for the 25 customers who left the bank
All of the bank's customers
The 25 customers that the manager observed leave
The length of time a customer waits before leaving the bank
The average length of time that all customers will wait before leaving the bank
a. Parameter
b. Variable
c. Sample
d. Population
e. Statistic
f. Data
Answer: The average length of time that the 25 customers waited before leaving the bank. e. Statistic
The list of times for the 25 customers who left the bank. f.Data
All of the bank's customers d. Population
The 25 customers that the manager observed leave. c. Sample
The length of time a customer waits before leaving the bank. a. Variable.
The average length of time that all customers will wait before leaving the bank a. Parameter
Step-by-step explanation:
A data is a list of observations.
In statistics, a variable is an attribute that defines a person, place, thing, or thought.
A large group that have similar individuals as per the researcher's point of view is known as population, where its subset is known as sample.
The measure of certain characteristic in population is known as parameter, where for sample it is known as statistic.
The correct description of the given examples are:
The average length of time that the 25 customers waited before leaving the bank.
e. Statistic
The list of times for the 25 customers who left the bank.
f. Data
All of the bank's customers
d. Population
The 25 customers that the manager observed leave.
c. Sample
The length of time a customer waits before leaving the bank.
a. Variable.
The average length of time that all customers will wait before leaving the bank
a. ParameterWe can see that a bank manager is interested in finding out the average wait time which each customer has to wait and we can see that this is known as a parameter.
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Please help these are two different questions !
Answer:
120 Girls
Step-by-step explanation:
First, you have to combine the dark shade girls and the light shade girls together to get 7.
Then, you should divide 210 by 7, to get 30
Finally, using 30 as your multiplier,
you go and multiply 30 x 4 to get 120 girls :D
Luke works at a shoe store. He earns a 2% commission on all shoes he sells. If he sells $50 of shoes, how much money will he make with his commission?
Answer:
$1
Step-by-step explanation:
Commission earned on sale = 2%
Total sales made = $50
Commission earned for this sale :
Commission percent * worth of sales made
0.02 * $50
= $1
b. Convert years to days.
4 years =
.xl
year)
days)
Il
days
Answer:
1460 Days
Step-by-step explanation:
365*4
Answer:
1460 days.
Step-by-step explanation:
HELP IS FOR TODAY EXERCISE 2 SIMPLIFY FRACTIONS
Answer:
Do u have English version?
Step-by-step explanation:
Find the sales tax for three CDs, if each CD is $14.29 and the sales tax is 7.25%. What is the answer?
A. $3.34
B. $3.86
C. $3.11
D. $3.08
Answer:
C
Step-by-step explanation:
A store buys purses for $12.50 and then marks them up 25%
Answer:
15.625
Step-by-step explanation:
TRUE OR FALSE
The unit rate is when the ratio has a denominator 1
True
False
Answer:
that would be true
Step-by-step explanation:
Answer:FALSE
Step-by-step explanation:
Noah has $5. Elena has 40% as much as Noah. How much does Elena have?
Answer:
Step-by-step explanation:
2 dollars
Answer:
$2.00
Step-by-step explanation:
There are 2 white beads for every 7 purple beads. There is a total of 8 white beads. How many purple beads are there?
Answer:
28
Step-by-step explanation:
If a car needs 5 gallons to go 160 miles how many gallons would it need to go 96 miles
Answer:
3 gallons
Step-by-step explanation:
as u can travel 32 miles on 1 gallon, 32 x 3 = 96 so 1 x 3= 3
Which statement best describes a unit rate?
1. John drove 350 miles in 5 hours
2. John drove 10 miles
3. John drove a car and a motorcycle
4. John drove 25 miles in 1 hour
Answer:
4. John drove 25 miles in 1 hour
Step-by-step explanation:
The unit rate is the number of something per unit. There should be a first number and the second number should always be 1.
The statement which best describes a unit rate is John drove 25 miles in 1 hour .
What is unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
According to the question
Best describes a unit rate is that which have second term as 1 unit
So,
Only John drove 25 miles in 1 hour satisfy the condition ,
Hence, The statement which best describes a unit rate is John drove 25 miles in 1 hour .
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Evaluate the expression for j = 0 and k = 11.
jk =
Write 2 equations needed to solve this problem
Answer:
x = - 8, x = - 6
Step-by-step explanation:
Given
8 | x + 7 | - 3 = 5 ( add 3 to both sides )
8 | x + 7 | = 8 ( divide both sides by 8 )
| x + 7 | = 1
The expression inside the bars can be positive or negative, thus
x + 7 = 1 or - (x + 7) = 1 ← 2 equations to be solved
x + 7 = 1 ( subtract 7 from both sides )
x = - 6
or
-(x + 7) = 1
- x - 7 = 1 ( add 7 to both sides )
- x = 8 ( multiply both sides by - 1 )
x = - 8
If a +2<b+3 then ____.
a-b<1
a<b+1
a<b
b<a
Answer:
a<b+1
Step-by-step explanation:
a +2<b+3
a<b+3-2
a<b+1
Answer: a - b < 1 or a < b + 1
a + 2 < b + 3
⇔ a - b < 3 - 2
⇔ a - b < 1
Step-by-step explanation:
Drew wants to buy sports equipment that costs $140. The sales tax is 8%. What is the total cost of the equipment with the tax?
Answer: $151.20
Step-by-step explanation: 8 percent of 140. Add this number to 140.
[tex]\frac{x}{140} = \frac{8}{100}[/tex]
100x=112
x=11.2
f(-5) if(x) - 4x + 2
Answer:
22
Step-by-step explanation:
-4(-5)+2
20+2
22
If the measures of 2 angles of a triangle are 35 degree and 80 degree then find the measure of its third angle
Plz help I am marking branliest and I can follow you if you give correct answer :D
Step-by-step explanation:
the 3rd angle = 180 - ( 35+80 ) = 65
Answer:
65
Step-by-step explanation:
let the third angle be y
y+35+80=180
y+115=180
y=180-115
y=65
PLease help brainliest will be given If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answer.
Refer to - KLMN
2x
M
101
-3
2y
P
y + 3 cm
60°
К.
N
x + 4 cm
mZ1 + m22 =
Answer:
[tex]m∠1 + m∠2 = 180[/tex]
Step-by-step explanation:
[tex]m∠1 = m∠3 \\ m∠2 = m∠4[/tex]
[tex]m∠ 1 = m∠3 \\ 60 = 60[/tex]
[tex]360 - m∠1 + m∠3 = m∠2 + m∠4[/tex]
[tex]360 - 60 + 60 = m∠2 + m∠4[/tex]
[tex]360 - 2(60) = m∠2 + m∠4[/tex]
[tex]360 - 120 = m∠2 + m∠4[/tex]
[tex]240 = m∠2 + m∠4[/tex]
[tex] \frac{240}{2} = m∠2 = m∠4[/tex]
[tex]120 = m∠2 = m∠4[/tex]
[tex]m∠2 = 120 \\ m∠4 = 120[/tex]
[tex]m∠1 = 60 \\ m∠3 = 60[/tex]
[tex]m∠2 = 120 \\ m∠4 = 120[/tex]
[tex]m∠1 + m∠2 + m∠3 + m∠4 { = }^{?} 360[/tex]
[tex]60 + 120 + 60 + 120 { = }^{?} 360[/tex]
[tex]2(60) + 2(120) { = }^{?} 360[/tex]
[tex]120 + 240 { = }^{?} 360[/tex]
[tex]360 = 360[/tex]
[tex]m∠1 + m∠2 [/tex]
[tex]60 + 120 = 180[/tex]
[tex]m∠1 + m∠2 = 180[/tex]
3
6x
21(x + 1) 21(x + 1 )
.
21(x+1)=21x+21?
3*6x=18x
the distance between two cities on a map is 3.5 centimeters the map uses a scale in which 1 centimeter represents 20 km what is the actual distance between these
two cities in kilometers
Answer:
1 cm = 20 km
so 3.5 cm would equal : 3.5 * 20 = 70 km
hope it helps ;)
Step-by-step explanation:
Dwight's club has 35 members. Its
rules require that 60% of them must
be present for any vote. At leas how
many members must be present to have
a vote?
Answer:
21 memebers must be present
Step-by-step explanation:
First we have to convert the percent to decimal form for an easier calculation. Do this by taking 60 and dividing by 100.
You should get 0.60, now just multiply .60 by 35 and you'll get the answer of 21.