Answer:
- 3 and 12
Step-by-step explanation:
let n be the number , then
n² - 9n = 36 ( subtract 36 from both sides )
n² - 9n - 36 = 0
Consider the factors of the constant term (- 36) which sum to give the coefficient of the n- term (- 9)
The factors are - 12 and + 3 , since
- 12 × 3 = - 36 and - 12 + 3 = - 9 , then
(n - 12)(n + 3) = 0
Equate each factor to zero and solve for n
n - 12 = 0 ⇒ n = 12
n + 3 = 0 ⇒ n = - 3
The 2 numbers are - 3 and 12
read and answer please. thanks
On a number line, what is the distance between -5 and
72
HELP PLEASE!!! NO FLIES OR LINKS
given rhombus ABCD , find the measure of the indicated angle in degrees
Answer:
61
Step-by-step explanation:
180 - 119 =
A carousel moves in a counterclockwise direction. It makes one complete revolution every 16 seconds. Han is sitting 11 feet from the center of the carousel. Here is a view of the carousel from above. Based on the view from above, write an equation describing Han’s vertical position v, in feet, relative to the center of the carousel t seconds after the carousel starts moving.(Question 7)
Answer:
[tex]The \ vertica \ position \ of \ the \ carousel,\ v = 11 \times sin \left (\dfrac{\pi}{2} \times \left (\dfrac{t}{4} -1\right)\right )[/tex]
Step-by-step explanation:
The parameters of the motion on the carousel are;
The time it takes the carousel to make one complete revolution, T = 16 seconds
The distance Han is sitting from the center = 11 feet
The motion of the carousel can be given by the equation of sinusoidal motion as follows;
v = a·sin(ω·t + c)
Where;
a = The amplitude of the sinusoidal motion = Han's distance from the center = 11 feet
ω = The angular velocity
t = Han's time in motion =
ω = 2·π/T = 2·π/16 rad/s
c = The phase shift
v = The vertical position of the carousel
Given that at the starting point when t = 0, y = minimum, therefore, sin(ω·t + c) = sin(ω×0 + c) = sin(c) = minimum = -1
c = arcsin(-1) = -π/2 we have
Therefore, when time after the carousel starts moving = t second, we have;
The vertical position of the carousel in feet, v = 11·sin((π/8)·t) - π/2) = 11×sin((π/2)·(t/4 - 1))
What is the volume, in cubic in, of a cylinder with a height of 12in and a base radius of 6in, to the nearest tenths place?
Answer: Therefore, the volume of cylinder is 1356.5 cubic inches.
Step-by-step explanation: First I took an ESTIMATE and then after I did my estimate I did the real deal, I took everything I knew and put it all together.
Answer:
12*8.49*8.49 = 8649612in^3
Step-by-step explanation:
which choice is equivalent to the quotient below? √64/√16
Answer:
[tex] \frac{ \sqrt{64} }{ \sqrt{16} } \\ = \frac{8}{4} \\ = 2[/tex]
The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000;
$90,000; and $17,000. Which measure of central tendency is most appropriate to
calculate?
Answer:
i honestly dont even know myself
Step-by-step explanation:
how to get easy points: make two acounts, on the second acount answer random question to get points, then make questions that have a lot of points, on the first acount answer the questions that you made. repeat.
Answer:
the bro ik
Step-by-step explanation:
yup yup yup bri
Answer:
heyyyy
Step-by-step explanation:
Kawai requires a loan of $33,000 to buy a used sport utility vehicle. His banks offers financing at 6.75% compounded monthly, for a term of 6 years, payable monthly. What is the total cost of this loan?
Answer:
$49,126.87
Step-by-step explanation:
Given data
Principal= $33,000
rate= 6.75%
Time= 6 years
First, convert R as a percent to r as a decimal
r = R/100
r = 6.65/100
r = 0.0665 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 33,000.00(1 + 0.0665/12)^(12)(6)
A = 33,000.00(1 + 0.005541667)^(72)
A = $49,126.87
Hence the final amount is $49,126.87
Find the volume of this right rectangular
prism.
4 cm
4 cm
4 cm
[ ? ]cm3
Answer:
V = 64 cm^3
Step-by-step explanation:
Volume is length times width times height
V = l*w*h
V = 4*4*4
V = 64 cm^3
Answer:
64
Step-by-step explanation:
4x4x4=64
what is the range for 6 12 5 7 7 3 9
Answer:
12-3
9 is the range
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
helppppppppppppppppppp
Answer:
B
Step-by-step explanation:
You just substitute the values in for A and B and then you simplify
The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182
hope this helped
Answer:
182
Step-by-step explanation:
First, plug in 17 for a
10·17+b=170+b
Then plug in 12 for b
170+12=182
There you go!
182
1 find the value of this question
Answer:
[tex]\sqrt{176+\sqrt{2401} }[/tex]
=[tex]\sqrt{176+\sqrt{49*49} }[/tex]
=[tex]\sqrt{176+49}[/tex]
=[tex]\sqrt{225}[/tex]
=[tex]\sqrt{15*15}[/tex]
=15
Step-by-step explanation:
141.75 divided by 2.5
Answer:
56.7
Step-by-step explanation:
Have a good day :)
Answer: 56.7 is the answer :))
help me plzz nowwwwww plzz
Answer:
18
Step-by-step explanation:
colored: white
3 :8
We have 48 white papers so multiply each side by 6
colored: white
3*6 : 8*6
18 48
There are 18 colored papers
Answer:
C) 18
Step-by-step explanation:
3/8 = c/48
cross-multiply to get:
8c = 144
c = 18
a can of soda has a height of 4.8 inches. its diameter is 2.6 inches. what is the volume of the can
Volume = Base area × height
V = ( π × r^2 ) × 4.8
V = ( π × ( 2.6/2 )^2 ) × 4.8
V = ( π × (1.3)^2 ) × 4.8
V = ( π × 1.69 ) × 4.8
V = π × 1.69 × 4.8
V = 8.112 π in^2
The volume of the can is 8.112π cubic inches.
What is volume?The space occupied by an object in three-dimensional space is called the volume of an object. In simple words, space is taken by an object.
Given:
A can of soda has a height of 4.8 inches.
Its diameter is 2.6 inches.
Then the radius is 2.6/2 = 1.3 inches.
The volume of the can,
= the volume of the cylinder
= πr²h
= π(1.3)²(4.8)
= 8.112π
Therefore, the volume is 8.112π cubic inches.
To learn more about the volume;
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Pls pls pls help me I’m giving brainlest
Answer: i think a
Step-by-step explanation:
What is the sum of 4n² + 2n+ 12
Answer:
hope this helps <33
Step-by-step explanation:
2(2n^2+n=6)
Find the midpoint M of CD
M = (x, y
C = (-2,-10) D = (-6,0)
M = ([?],[ ]
Enter the number that belongs in the green box.
Enter
Any answers???
Answer:
(-4,-5)
Step-by-step explanation:
Given :
M ( x,y) C ( -2,-10)D (-6,0)[tex] \implies[/tex] Midpoint = ( -2-6)/2 , (-10+0)/2
[tex] \implies[/tex] M = ( -8/2 , -10/2 )
[tex] \implies[/tex] M = (-4 , -5)
Hence the midpoint is (-4,-5) .
All sides of quadrilateral ABCD ABCD A, B, C, D are tangent to circle PPP. What is the perimeter of the quadrilateral below?
Answer:
The answer is below
Step-by-step explanation:
A tangent is a line which touches a circle at one point. The angle between a tangent and a circle is 90°.
The two tangent theorem states that tangent that meet at the same point are equal in length.
Therefore:
CD = c + d
but c = 5.1, hence:
CD = 5.1 + d
12.1 = 5.1 + d
d = 7
AD = a + d; but AD = 12.2, d = 7
12.2 = a + 7
a = 5.2
AB = a + b; but b = 3.3
AB = 5.2 + 3.3 = 8.5
BC = b + c = 3.3 + 5.1 = 8.4
Perimeter of ABCD = AB + BC + CD + AD = 8.5 + 8.4 + 12.1 + 12.2 = 41.2
There are 10 marbles in a bag 1/5 are and the other are blue .What is the ratio of red to blue marbles
Answer:
1 : 4
Step-by-step explanation:
There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?
Number of red marbles = fraction of red marbles x total number of marbles
1/5 x 10 = 2
Number of blue marbles = total number of marbles - number of red marbles
10 - 2 = 8
ratio of red to blue marbles
2 : 8
To transform to the simplest form. divide both numbers by 2
1 : 4
Please help me with this one no links
Answer:
L' = (0, 1 )
Step-by-step explanation:
The translation rule
(x, y ) → (x - 2, y - 1 )
Means subtract 2 from the x- coordinate and subtract 1 from the y- coordinate.
L (2, 2 ) → L' (2 - 2, 2 - 1 ) → L' (0, 1 )
In a cave a stalactite get 4 milimeters longer each year this years it is 72 centimeters long. How many years until it is 1 meter long?
Answer:
70 years
Step-by-step explanation:
Equation that describe the situation
y = 4x + 720
x = years
y = length
1000 = 4x + 720
4x = 280
x = 70
Answer:
0.07
Step-by-step explanation:
PLEASE HELP!! I'LL MARK BRAINLIEST AND GIVE POINTS!!
Fiona and Rachel went to determine the most popular lunch choice in the school cafeteria among seventh graders. They decide to collect data from a sample of seventh graders at school. Fiona surveys twenty seventh graders that are in line at the cafeteria. Rachel surveys twenty seventh graders whose ID numbers end in 9.
ALL YOU HAVE TO DO IS FIND WHICH REPRESENTATION IS BIGGER, FIONA'S OR RACHEL?
Answer:
Rachel
Step-by-step explanation:
Rachel has the greater representation; if the students are in the lunch line, they are buying food (this does not account for students who bring lunch from home).
The last number in an ID has nothing to do with lunch choice.
12 POINTS HELLPP
IM TAKING A TESTTT ASAPP
Answer: i would say 550 miles or 1,100 miles
Step-by-step explanation:
The equation of a line is 2x + 3y = Select three
lines that are parallel to the given line.
Answer:
The three lines that are parallel to the Given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
Step-by-step explanation:
The exact question is as follows :
Given - The equation of a line is 2x + 3y = 4.
To find - Select three lines that are parallel to the given line.
A) 2x + 3y = 2
B) 2x + 5y = 15
C) 9y = -6x + 15
D) 3y = -2x + 12
E) 3x - 2y = 15
Solution -
We know that,
If the slopes are the same and the y-intercepts are different, the lines are parallel.
Given that,
The given line is 2x + 3y = 4
⇒3y = -2x + 4
⇒y = -(2/3)x + (4/3)
So,
Slope = -(2/3)
y-intercept = (4/3)
Now,
A.)
2x + 3y = 2
⇒3y = - 2x + 2
⇒y = -(2/3) + (2/3)
So,
Slope = -(2/3)
y-intercept = (2/3)
By Comparing with the given line's slope and y-intercept
We can see that
slope is same but y-intercept is different
So,
2x + 3y = 2 is parallel to the given line.
Now,
B.)
2x + 5y = 15
⇒5y = - 2x + 15
⇒y = -(2/5) + (15/5)
So,
Slope = -(2/5)
y-intercept = 3
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
2x + 5y = 15 is not parallel to the given line.
C)
9y = -6x + 15
⇒y = -(6/9)x + (15/9)
= -(2/3)x + (5/3)
⇒y = -(2/3)x + (5/3)
So,
Slope = -(2/3)
y-intercept = 5/3
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
9y = -6x + 15 is parallel to the given line.
D)
3y = -2x + 12
⇒y = -(2/3) + (12/3)
So,
Slope = -(2/3)
y-intercept = 4
By Comparing with the given line's slope and y-intercept
We can see that slope is same and y-intercept is different
So,
3y = -2x + 12 is parallel to the given line.
E)
3x - 2y = 15
⇒-2y = -3x + 15
⇒2y = 3x - 15
⇒y = (3/2) - (15/2)
So,
Slope = 3/2
y-intercept = -15/2
By Comparing with the given line's slope and y-intercept
We can see that slope is different
So,
3x - 2y = 15 is not parallel to the given line.
∴ we get
The three lines that are parallel to the given line are :
2x + 3y = 2
9y = -6x + 15
3y = -2x + 12
The annual interest rate on a 15-year
mortgage on a house assessed at a value
Of $450 000 is 5 cents on every $1 What
is the interest paid on the mortgage for the
first year?
Answer:
The amount of interest paid is $22,500
Step-by-step explanation:
Firstly, we need the number of $1 in $450,000
That would simply be $450,000/$1 = 450,000
5 cents is same as 5/100 = $0.05
so we have to multiply 450,000 by 0.05
we have this as;
450,000 * $0.05 = $22,500
What is the common ratio of the geometric sequence whose first term is 5 and third term is 245?
Answer:
7
Step-by-step explanation:
The common ratio of the geometric sequence is 7.
What is geometric progression?Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern.
According to the question,
First term = a = 5
Third term = a×r²
= 245
⇒ ar² = 245
⇒ 5×r² =245
⇒ r² = 245/5
⇒ r² = 49
⇒ r = 7.
Hence the common ratio = 7
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This recipe makes four portions of soup.
Navina follows this recipe but only wants to make enough for one portion of soup.
How much of each ingredient does she need?
Recipe: Serves 4
180 g onions
100 g carrots
3 tablespoons of oil
600 g tomatoes
1.2 L vegetable stock
Diana is painting statues. She has 7/8 of a liter of paint remaining. Each statue requires 1/8 of a liter of paint.How many statues can she paint?
Answer:
7 statues
Step-by-step explanation:
Step 1: Divide the paint remaining by the paint required by each statue (We are doing this because [tex]\frac{1}{8}[/tex] is 1 statue, so to find how many we need, divide [tex]\frac{7}{8}[/tex] by that.)
[tex]\frac{7}{8}\div \frac{1}{8}\\\\\frac{7}{8}\times \frac{8}{1}\\\\=\frac{7}{1}\\\\= 7[/tex]
Therefore, Diana can paint 7 statues.