Now
[tex]\\ \sf\longmapsto 160\times \dfrac{1}{60}[/tex]
[tex]\\ \sf\longmapsto \dfrac{160}{60}[/tex]
[tex]\\ \sf\longmapsto 2.6miles/min[/tex]
What is the rectangular equivalence to the parametric equations?
x(θ)=2sinθ+1,y(θ)=3cosθ−2 , where 0≤θ<2π .
Drag a term into each box to correctly complete the rectangular equation.
Notice that
(x - 1)²/4 + (y + 2)²/9 = (2 sin(θ))²/4 + (3 cos(θ))²/9
… = sin²(θ) + cos²(θ)
… = 1
Solve for y in terms of x :
(x - 1)²/4 + (y + 2)²/9 = 1
(y + 2)²/9 = 1 - (x - 1)²/4
(y + 2)² = 9 - 9/4 (x - 1)²
y + 2 = ± √(9 - 9/4 (x - 1)²)
y + 2 = ± 3/2 √(4 - (x - 1)²)
y = -2 ± 3/2 √(4 - (x - 1)²)
In order for the square root to be defined, one needs
4 - (x - 1)² ≥ 0
(x - 1)² ≤ 4
-2 ≤ x - 1 ≤ 2
-1 ≤ x ≤ 3
so x must belong to the interval [-1, 3].
Help ASAP please :))
Image attached
Round 874.902237102
I need the answer for a test I don’t wanna fail
Answer:
Round 874.902237102
874.9
Rounded to the nearest Tenths Place.
hope this would help
10. A recipe for punch calls for 2 cups of fruit concentrate
and 6 cups of water.
How many cups of punch will the recipe make?
Plzzzz someone help. Will mark brainiest is correct!!!!
Photo attached
Answer:
Your last step ( step 5 ) :
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{c}{a} + \frac{ {b}^{2} }{4 {a}^{2} } [/tex]
Step 6:
[tex]{ \boxed{x + ( \frac{b}{2a}) = ± \frac{ \sqrt{ {b}^{2} - 4ac } }{ \sqrt{4a^2} } }}[/tex]
Step-by-step explanation:
[tex] {x}^{2} + \frac{b}{a} x + \frac{ {b}^{2} }{4 {a}^{2} } = - \frac{4ac}{4 {a}^{2} } + \frac{ {b}^{2} }{4 {a}^{2} } \\ \\ {x}^{2} + \frac{b}{a} x = \frac{4ac}{4a {}^{2} } \\ \\ {x} = \sqrt{ \frac{ - 4ac + b {}^{2} }{4a {}^{2} } } [/tex]
.,............. ..... ..nnkkjk
please help asap!!!!
Answer:
2304 cubic inches
Step-by-step explanation:
Volume = Width x length x height
Green cube:
[tex]12*12*6=864[/tex]
Blue cube:
[tex]10*18*8=1440[/tex]
Add them together:
[tex]1440+864=2304[/tex]
The volume of this cube is 157,464 cubic inches. What is the value of n?
Answer:
n means number
Step-by-step explanation:
Answer:
The value of n is 54......
Find the equation of the line:
through (5, -1) and (2, 2).
Answer:
y = -x + 4
Step-by-step explanation:
(x₁,y₁)= (5, - 1) & (x₂,y₂)= (2 , 2)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\frac{2-[-1]}{2-5}\\\\=\frac{2+1}{-3}\\\\=\frac{3}{-3}\\\\= -1[/tex]
m = -1
Equation of the line y - y₁ = m(x - x₁)
y - [-1] = (-1)*(x - 5)
y + 1 = -x + 5 {-1 is distributed}
y = -x + 5 - 1
y = -x + 4
Please help explanation if possible
Answer: 2 goes in the box
The solid boundary line equation is y = 2. The shaded region consists of this line and everything below it, which is describing [tex]y \le 2[/tex]. So y can be 2 or it can be smaller than 2.
Some children hold a bake sale for a local charity, and raise $90. 10% comes from selling biscuits. 50% of the remaining money comes from chocolate cakes. How much is made from selling chocolate cakes?
Answer:
$40.5
Step-by-step explanation
10% comes from selling biscuit:$ 9
remaining money: $81
50% of the remaining money comes from chocolate cakes: 81*50%=$40.5
Please someone help me on these 3 questions!! HELP ME I NEED HELP!!!!!
Answer:
See below.
Step-by-step explanation:
1.) 5√6
2.) 6√2
3.) 3√7
To solve this without the use of a calculator, split the given number into a series of products (numbers multiplied) and look for pairs.
Look at the attached example of Problem 1 to get a better idea of what I mean.
Write an exponential function in the form y = ab^x that goes through points
(0,12) and (2,300).
Answer:
y(x)=12*(5)^x
Step-by-step explanation:
y=ab^x, y(0)=12. 12=a.
y=12*b^x, y(2)=300. 12*b^2=300. b^2=25. b=5
if a hexagonal prism has a volume of 539 cubic meters and is 16 meters tall, find the area of the hexagonal base
Base Area= ___ m^2
9514 1404 393
Answer:
33 11/16 m² = 33.6875 m²
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Solving for B, we find ...
B = V/h
B = (539 m³)/(16 m) = 33 11/16 m² = 33.6875 m²
AREA OF FIGURES. URGENT.
Answer:
big area/small area = (big length/small length)^2
24/small area = (6/3)^2
24/sa = 4
sa= 6
A diesel generator produced 1,800 kilowatt hours of
electrical energy in 4 hours and consumed 36 gallons
of diesel per hour in the process. How many kilowatt
hours of electrical energy are produced by the
combustion of 1 gallon of diesel?
A) 12.5
B) 45
C) 50
D) 80
what is the standardform of R(4, 0), m = 5
Answer:
No. of children Frequency
0. 5
1. 7
2. 11
3. 5
4. 6
5 3
6 3
Will give us many points as possible thank you very much
Answer:
27 1/2 cm^2
Step-by-step explanation:
The area of a parallelogram is
A = bh
A = 5 * 5 1/2
Change to an improper fraction
A = 5 * (2*5+1)/2
A = 5*11/2
A = 55/2
Change back to a mixed number
A = 27 1/2
– 18q+10q+16q–3= – 19
Answer:
q = -2
Step-by-step explanation:
-18q + 10q + 16q - 3 = -19
~Combine like terms
8q - 3 = -19
~Add 3 to both sides
8q = -16
~Divide 8 to both sides
q = -2
Best of Luck!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST!!
Answer:
The answer is A: 120yd^2
Step-by-step explanation:
Volume = Width x length x height
Volume = 8 x 3 x 5
Volume = 120
Answer:
120
Step-by-step explanation:
8*3*5
Bài 1: Có tất cả bao nhiêu giá trị của m nguyên để hàm số:
y = x8 + (m - 2)x5 - (m2 - 4)x4 + 1 đạt cực tiểu tại x = 0?
If f(x) = 3 ^ x, prove that f(x) + f(x + 1) = 4f (x) .
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = [tex]3^{x}[/tex] , then
f(x + 1) = [tex]3^{x+1}[/tex] = [tex]3^{x}[/tex] × 3
Then
f(x) + f(x + 1)
= [tex]3^{x}[/tex] + 3. [tex]3^{x}[/tex] ← factor out [tex]3^{x}[/tex] from each term
= [tex]3^{x}[/tex] (1 + 3)
= 4. [tex]3^{x}[/tex]
= 4f(x)
The base of a triangle is g mand the height is 27m.
Express the area of the triangle in terms of m.
36 m2
9 m2
27 m2
Answer:
Step-by-step explanation:
15= 3-4a what is the value of a in the equation
Answer:
5
Step-by-step explanation:
when 13 is subtracted from 5 we get 8
again when 8=2m
8/2=m
4=m
.
What is the value of X?
Answer:
I think the answer for this question is 2.24cm
Select the correct answer.
Brett is planning to build two new acrylic fish tanks. He wants the rectangular prism-shaped fish tanks to have the same width and
volume.
• For one of the fish tanks, he plans to make the height of the fish tank 2 cm less than twice the width and the length 4 times the
width.
• For the other fish tank, he plans to make the length 1 cm less than twice the width and the height 6 times the width.
If y represents the volume of the fish tanks, and x is the width of the fish tanks, which system of equations could represent this
situation?
Answer:8-8 and 12 and 6
Step-by-step explanation:
The system of equations based on the given information is represented by y = 8x³ - 8x² , y = 12x³ - 6x² .
Let's set up the equations based on the information:
x be the width of the fish tanks (in cm),
y be the volume of the fish tanks (in cubic cm).
For the first fish tank:
Height = 2x - 2 (2 cm less than twice the width)
Length = 4x (4 times the width)
Volume (V) of a rectangular prism = Length × Width × Height
V = (4x) × x × (2x - 2)
V = 4x² × (2x - 2)
V = 8x³ - 8x² (equation 1)
For the second fish tank:
Length = 2x - 1 (1 cm less than twice the width)
Height = 6x (6 times the width)
Volume (V) of the rectangular prism = Length × Width × Height
V = (2x - 1) × x × (6x)
V = (2x² - x) × 6x
V = 12x³ - 6x² (equation 2)
So, the system of equations representing the situation is:
V = 8x³ - 8x²
V = 12x³ - 6x²
Therefore, the correct answer is a system of equations are
y = 8x³ - 8x²
y = 12x³ - 6x²
learn more about system of equations here
brainly.com/question/32645146
#SPJ2
which has a steeper slope y=-2x or y=-3x
Answer:
y=-3x
Step-by-step explanation:
3>2. It doesn't matter if some or all of the numbers are negative.
Answer: y = -3x has the steeper slope
==========================================
Explanation:
Any linear equation is of the form y = mx+b, where m is the slope.
For y = -2x, the slope is -2. For y = -3x, the slope is -3.
We just look at the number to the left of x to find the slope.
To figure out which slope is steeper, we simply look to see which slope value is furthest from 0 on the number line. A slope of 0 itself is completely horizontal and flat. As the slope value moves away from zero, in either positive or negative direction, then the slope gets steeper and steeper.
In short, a slope of -3 is more steep compared to a slope of -2. Therefore, y = -3x is the answer.
The graph below helps visually confirm that y = -3x is indeed steeper. We drop one extra unit down each time we move to the right one space.
In circle O, and are diameters. The measure of arc AB is 55° and the measure of arc CD is 25°.
Circle O is shown. Line segments A D and B E are diameters. Line segments O F and O C are radii.
What is the measure of Arc E A C?
Your Answer Is in this attachment.
Answer:
D-212 Degrees
Step-by-step explanation
i got it right on edge
help with 57, please!!
9514 1404 393
Answer:
a) $554
b) y = 138.50x
c) see attached
Step-by-step explanation:
a) The cost is the product of the number of hours and the cost per hour.
cost = (4 h)($138.50 /h) = $554.00 . . . . for a 4-hour course
__
b) As above, the cost (y) is the product of the number of hours (x) and the cost per hour ($138.50).
y = 138.50x . . . . tuition for x credit hours.
__
c) As in part (b), the tuition is hours times 138.50. That means hours are tuition divided by 138.50.
A base angle of an isosceles triangle measures 50°. Find the number of degrees in the measure of the vertex angle.
Both vertex angles will be same as its an isosceles triangle
Let each be x
According to angle sum property
[tex]\\ \sf \longmapsto x+x+50=180[/tex]
[tex]\\ \sf \longmapsto 2x+50=180[/tex]
[tex]\\ \sf \longmapsto 2x=180-50[/tex]
[tex]\\ \sf \longmapsto 2x=130[/tex]
[tex]\\ \sf \longmapsto x=\dfrac{130}{2}[/tex]
[tex]\\ \sf \longmapsto x=60°[/tex]
add {-6 -2 2}+ {-3 2 1}
Answer:
[tex]\huge\boxed{\sf \left[\begin{array}{ccc}-9&0&3\end{array}\right] }[/tex]
Step-by-step explanation:
[tex]\sf = \left[\begin{array}{ccc}-6&-2&2\end{array}\right] + \left[\begin{array}{ccc}-3&2&1\end{array}\right] \\\\= \left[\begin{array}{ccc}-6+(-3)&-2+2&2+1\end{array}\right] \\\\= \left[\begin{array}{ccc}-6-3&0&3\end{array}\right] \\\\= \left[\begin{array}{ccc}-9&0&3\end{array}\right] \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!