Answer:
The direction is 37 degree north of west.
Step-by-step explanation:
velocity of balloon, v = 15 mph upwards
velocity of wind, v' = 20 mph west wards
The direction is given by
[tex]tan\theta = \frac{15}{20}\\\\\theta = 37^o north of west[/tex]
What is the slope of the line whose equation is y-4=5/2(x-2)?
Answer:
5/2
Step-by-step explanation:
We know,
Equation of the slope is, y = mx + c. Where m is the slope.
y - 4 = 5/2*(x-2)
y = 5/2*(x-2) + 4
y = (5/2)x - 5 + 4
y = (5/2)x - 1
y = (5/2)x + (-1) [y = mx + c form]
Slope, m = 5/2
Hope this will help. Please mark me brainliest.
Simplify 52⋅(x−2)52⋅(x-2). Apply the distributive property. y−4=5/2x+5/2⋅−2 Combine 5252 and x
y−4=5x2+5/2⋅−2 Cancel the common factor of 2.Factor 2 out of −2
y−4=5x2+52⋅(2(−1))y-4=5x2+52⋅(2(-1))
Cancel the common factor.
y−4=5x2+52⋅(2⋅−1)y-4=5x2+52⋅(2⋅-1)
Rewrite the expression.
y−4=5x2+5⋅−1y-4=5x2+5⋅-1
Multiply 55 by −1-1.
y−4=5x2−5
Add 44 to both sides of the equation.
y=5x2−5+4y=5x2-5+4
Add −5-5 and 44.
y=5x2−1
Reorder terms.
y=52x−1
THE ANSWER IS M = 5/2
SOMEOME HELPPP PLS FAST
Answer:
3, 9, 27, 81, ...
Step-by-step explanation:
it's multiplying by 3
geometric sequence multiplies.
hope this helps
Answer:
Third option or 3,9,27,81
Step-by-step explanation:
A geometric sequence is a sequence where the term multiplies by the last term to make the next term.
In these options, we can clearly see the second and fourth one are not geometric as their relationship is not by multiplying.
The first option is also wrong since 4*-16 is -64, not 64.
That leaves the third option. 3*9 = 27, 9*27 is 81. Therefore, it is the third option
find the area of 72 by 108 inches in square yards? pls show work
Step-by-step explanation:
72 times 108 = 7776 sq inches
to convert inches to yds divide by 36
7776/ 36 = 216 sq yds
Answer: 6 yards^2
Step-by-step explanation:
first lets find the area of the space in inches and then convert the total to square yards :)
area = length * width
A = 108 * 72 = 7776 inches^2
now lets convert it
there are 1296 inches in a yard, so we divide 7776 by 1296 to find the number of square yards
7776 / 1296 = 6
so the area of the space is 6 yards^2
An express train travel from A to B for 4 hours. A normal train travel from B to A for 10 hours. Both of them started at the same time. The average speed of the express train is greater than the average speed of the normal train 90km/h. Find the average speed of the normal train?
Answer:
The speed of the normal train is 60 kilometers per hour.
Step-by-step explanation:
Let suppose that both trains move at constant speed and cover the same distance. Then, we have the following identity:
[tex]v_{1}\cdot t_{1} = v_{2}\cdot t_{2}[/tex] (1)
Where:
[tex]v_{1}, v_{2}[/tex] - Average speeds of the express train and the normal train, in kilometers per hour.
[tex]t_{1}, t_{2}[/tex] - Travel times of the express train and the normal train, in hours.
In addition, there is the following relationship between average speeds:
[tex]v_{1} = v_{2} + 90[/tex] (2)
By (2) in (1), we have the following expression for the average speed of the normal train:
[tex](v_{2} + 90) \cdot t_{1} = v_{2}\cdot t_{2}[/tex]
[tex]90\cdot t_{1} = v_{2} \cdot (t_{2} - t_{1})[/tex]
[tex]v_{2} = \frac{90\cdot t_{1}}{t_{2}-t_{1}}[/tex]
If we know that [tex]t_{1} = 4\,h[/tex] and [tex]t_{2} = 10\,h[/tex], then the average speed of the normal train is:
[tex]v_{2} = 90\cdot \left(\frac{4\,h}{10\,h - 4\,h} \right)[/tex]
[tex]v_{2} = 60\,\frac{km}{h}[/tex]
The speed of the normal train is 60 kilometers per hour.
Find the slope of the line. Describe how one variable changes in relation to the other. How did you find this?
A, 2/3; the amount of water decreases by 2 gallons every 3 minutes.
B, - 2/3; the amount of water decreases by 2 gallons every 3 minutes.
C, - 3/2; the amount of water decreases by 3 gallons every 2 minutes.
D, -1; the amount of water decreases by 1 gallon per minute.
According to the given information, the slope of the line is -1.
What is slope ?In mathematics, slope is a measure of how steep a line is, or how much y (vertical) changes for a given x (horizontal) change. It is represented by the letter "m" and is calculated as the change in y divided by the change in x, or rise over run. The slope can be positive, negative, zero, or undefined.
According to given information :The answer is D, -1; the amount of water decreases by 1 gallon per minute.
To find the slope of the line, we need to use the slope formula:
slope = (change in y)/(change in x)
In this case, the change in y represents the change in the amount of water, and the change in x represents the change in time.
Option A says that the slope is 2/3, which means that for every 3 minutes, the amount of water decreases by 2 gallons. This is incorrect because as time increases, the amount of water should decrease, so the slope should be negative.
Option B says that the slope is -2/3, which means that for every 3 minutes, the amount of water decreases by 2 gallons. This is the same as option A but with a negative slope, which is correct because the amount of water decreases over time.
Option C says that the slope is -3/2, which means that for every 2 minutes, the amount of water decreases by 3 gallons. This is incorrect because the amount of water should decrease by the same amount every minute.
Option D says that the slope is -1, which means that for every minute, the amount of water decreases by 1 gallon. This is the correct answer because it describes a constant rate of change in the amount of water over time.
Therefore, according to the given information, the slope of the line is -1.
To know more about slope visit :
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b to the power of -3
write that as a positive exponent
explain
Answer:
1/b^3
Step-by-step explanation:
b^-3 is like writing:
1
---
b^3 since negative exponents are made into fractions
In the diagram below. De and Ef are tangent to 0. Which equation could be solved to find y, the measure of DGF? O A. ;(-127) = 53 OB. }(v + 127) = 53 O c. }(y-53) = 127 OD. } (x + 53) = 127
Answer:
A
Step-by-step explanation:
The tangent- tangent angle DEF is half the difference of the measure of the intercepted arcs , that is
[tex]\frac{1}{2}[/tex] (y - 127) = 53 → A
The intercepted arcs of y is 1/2(y -127) = 53.
What is intercepted arc?
The intercepted arc exists the arc that exists inside the inscribed angle and whose endpoints exist on the angle. The vertex of an inscribed angle can be anywhere on the circle as stretched as its sides intersect the circle to construct an intercepted arc.
Let, DE and EF exist as tangents to O.
The value of y will be evaluated as follows:
For angle created outside of circle by intersection:
Two tangents or two secants or a tangent and a secant, the formula for angle created outside will be:
An angle formed outside = 1/2(Difference of Intercepted Arcs)
An angle formed outside exists ∠DEF = 53°
Intercepted arcs exist y and 127°
Hence, 53 = 1/2(y -127)
Therefore, the correct answer is option C). 1/2(y -127) = 53.
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If you know two corresponding sides of two triangles and you know that the corresponding angles are equal, how can you find out if they are similar triangles?
a.
the other angles are proportional
c.
ratios of the sides will be equal
b.
the vertical angles will be congruent
d.
ratio of the sides will not be equal
Please select the best answer from the choices provided
A
B
C
D
Answer:
The answer is A) the other angles are proportional.
Explanation:
If you already know what 2 of the 3 sides are of each triangle, it only makes sense that the 3rd side would be proportional to those of the 1st triangle.
Which statement shows how two polynomials 3x + 6 and 5x2 - 4x demonstrate the closure property when multiplied?
O 15x3 + 18x? - 24x may or may not be a polynomial
O 15x3 + 18x2 - 24x is a polynomial
O 15x + 42x2 – 24x may or may not be a polynomial
15x3 + 42x2 - 24x is a polynomial
Here you go, rockstar
B) 15x3 + 18x2 − 24x is a polynomial
✨keep going!✨
Can I get some help please
Answer:
domain { -8,-5}
Range { -7,-1,1}
Step-by-step explanation:
The domain is the input values
{ -8,-5}
We do not list repeated values
The range is the output values
{ -7,-1,1}
Answer: domain { -8,-5}
Range { -7,-1,1}
Step-by-step explanation:
Find the next three terms of the sequence 3,9,27,81,...
Answer:
243, 729, 2187
Step-by-step explanation:
Multiply the previous with 3
It's Geometric sequence
Brainliest please~
What type of function is represented by the table of values below?
х
1
2
3
4
5
у
2
4
8
16
32
A. exponential
B. quadratic
C. cubic
D. linear
Answer:
Step-by-step explanation:
This is exponential. I'll show you how I found it. After many attempts at other types of functions, I realized the points were either forming a quadratic or an exponential. Definitely not a line.
the standard form of an exponential function is
[tex]y=a(b)^x[/tex] so we sub in coordinates from the table to determine what the equation is and then test it on another set of points to see if it works. Using the first coordinate of (1, 2):
[tex]2=a(b)^1[/tex] so
[tex]a=\frac{2}{b}[/tex] . The next coordinate is (2, 4), so:
[tex]4=\frac{2}{b}(b)^2[/tex] which simplifies down to
4 = 2b so
b = 2. Now we plug in 2 for b and solve for a:
a = 2/2 which is 1. So the equation, if this is exponential, is
[tex]y=1(2)^x[/tex] Let's test the next point in line and see if it works, (3, 8):
[tex]8?=?1(2)^3[/tex] and yes, 8 is equal to 2 cubed. And the next point says that 16 should equal 2 to the 4th, and it does, as well. So this is exponential...growth to be specific.
A new bicycle sells for $300 it is on sale for 1/4 off the regular price select all the expressions that represent the sale price of the bicycle in dollars.
Answer:
$225: the expression may look like $300-25%.
Step-by-step explanation:
First decide what is 1/4 of $300. ($300 / 4 = $75)
then subtract that amount from the original price. ($75-$300)
Select the graph of the solution. Click until the correct graph appears. 3x + 1 < 7
Answer:
x < 2
Step-by-step explanation:
Let's actually solve the given inequality 3x + 1 < 7. First we want to combine the constants into one: 3x < 6. Solving for x, we get x < 2.
The graph you have chosen as your answer is correct. x does not equal 2, but rather is less than 2, as the given inequality states. Since x is less than 2, we start at the (open) circle at 2 and move to the left.
Map: Ayshadrew a circle on a map with a radius of 14 inches. She plans to visit the cities within the circle. Whatis the area of the map that she wants to visit?Use 22/7 for
Answer:
615.8in^3
Step-by-step explanation:
Given data
Radius= 14in
The expression for the area of circle is given as
A= πr^2
Area= 3.142*14^2
Area= 3.142*196
Area= 615.832in^3
Hence the area is 615.8in^3
PLEASE HELP ASAP!!!!!!!
Is the function ƒ(x) = (9/10)^x an exponential function? If so, identify the base. If not, why not?
Answer:yes, base = 9. No, the exponent is not variable. yes, base =9/10.
Step-by-step explanation:
Please help!! I’m having lots of trouble
What is the value of x in the diagram below?
Answer:
57
Step-by-step explanation:
the whole angle is 90
So 90 minus 33 is 57
Find the volume of the composite solid below.
4 ft
3 ft
-
4 ft
10 ft
Answer:
173.3ft
Step-by-step explanation:
We'll start by the rectangle below
so remember the formula: l · w · h
10 · 4 · 3 = volume
volume = 120 ft
Rectangular pyramid
Volume = [tex]\frac{1}{3}[/tex] b · h
Volume = 1/3 40 · 4
Volume = 1/3 160
Volume = 53.3 ft
120 + 53.3 = 173.3 ft
Use the Law of Sines. Find m2c to the nearest tenth.
с
35
30°
B
58
A
a. 124.0°
b. 162.4°
C.
56.0°
d. 17.6°
Answer:
Step-by-step explanation:
Set up the Law of Sines as follows:
[tex]\frac{sinC}{58}=\frac{sin30}{35}[/tex] and
[tex]sinC=\frac{58sin30}{35}[/tex] and
sinC = .8285714286 so
C = 56.0°
ifthe radius of a cylinder is 4cm and height is 10cm, then the total surface area
Answer:
SA = 112π cm²
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 cm
h = 10 cm
Step 2: Find Surface Area
Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(4 cm)(10 cm) + 2π(4 cm)²Evaluate exponents: SA = 2π(4 cm)(10 cm) + 2π(16 cm²)Multiply: SA = 80π cm² + 32π cm²Add: SA = 112π cm²The range of the data: 6, 14, 20, 16, 6, 5, 4, 18, 25, 15, and 5 is
Answer:
the range is 21.( range=highest value-lowest value)
PLEASE HELPP HELP I WOULD REALLY APPRECIATE IT THANK U
Answer:
33
Step-by-step explanation:
180 minus 114 minus 33
soln,
x°+114°+33°=180° ( because sum of all angles of triangles is equal to 180°)
or, x°+147=180°
or, x°=180°-147°
hence, x°= 33°
Mohamed and Miguel go to the movie theater and purchase refreshments for their friends. Mohamed spends a total of $18.25 on two bags of popcorn and three
drinks. Miguel spends a total of $27.50 for four bags of popcorn and two drinks.
a) Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
b) Using your system from part a), determine and state the price of one bag of popcorn and the price of one drink.
does anyone know how to do this
9514 1404 393
Answer:
y = -1/2x +4
Step-by-step explanation:
The y-intercept is where the line crosses the y-axis, at y=4.
The slope is found by following the line to the right until it meets another grid line crossing point. That is 2 units to the right and down 1 unit.
The slope is ...
m = "rise"/"run" = -1/2
Then the slope-intercept equation is ...
y = mx + b . . . . . slope m, y-intercept b
y = -1/2x +4
What is the surface area of the right cone below?
12&3 A P E X
Answer:
A
Step-by-step explanation:
A=πr(r+h2+r2)=π·3·(3+11.622+32)≈141.38125
What is 2x/3 - 4 =x ?
Step-by-step explanation:
2x/3 -4 = x
multiply both side by 3
2x - 12 = 3x
-x = 12
x = -12
AWARDING 30 POINTS
(i will report you if you answer it incorrectly on purpose)
A dolphin swims 665,280 feet in 3 hours. Use the formula d = rt, where d represents distance, rrepresents rate, and t represents time to answer the
following questions. Show your work
Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)
Part B: Find the dolphin's rate in feet per hour. (3 points)
Part C: Find the dolphin's rate in miles per hour. (3 points)
Part D: Which unit, feet, or miles, makes more sense to use in this scenario, and why?
Answer:
A) r=d/t
B) 221,760 feet per hour
C) 42 miles per hour
D) in this scenario feet per mile makes more sense since the distance is listed in feet.
Step-by-step explanation:
A) you solve for r by divided both sides of the equation by (t)time
B) you take your formula r=d/t and substitute the values of (d) and (t) with 665,280 feet and 3 hours.
C) convert feet to miles by dividing the given amount of feet by 5280 since there are 5,280 feet in 1 mile
D) use feet to make the calculations easier and to avoid making a mistake in converting feet to miles
Which formula will correctly calculate the length of side, t, in the triangle?
Answer:
t = [tex]\sqrt{r^2 + s^2}[/tex]
Step-by-step explanation:
Below is the following calculation:
It is given that the one side of the triangle is t. Thus, let the other sides are "r" and "s". Thus, the best way to find the side of a triangle is to use the Pythagorean theorem. Here, let t is the hypotenuse.
Below is the formula:
t = [tex]\sqrt{r^2 + s^2}[/tex]
Help:
A) 3/4 + 1/7 =
B) 2/5 + 3/6 =
C) 2/5 - 1/4 =
D) -2/6 - (-1/3) =
E) 5 ½ + 6 ½ =
F) 8 ¾ + 4 ½ - 2 ¹/6=
G) 3/4 + 1/5 + 1/6 =
H) 8 ¾ + 4 ½ - 2 ¹/6 =
I) -3/12 - (-1/16) =
J) - 3/48 - (4/5) + 1/5 =
Answer:
A) 25/28
B) 9/10
C) 3/20
D) 0
E) 12
F) 11 1/12 (also as 133/12)
G) 1 7/60 ( also as 67/60)
H) 11 1/12 It's the exact same question as the other one sooo
I) -3/16
J) -53/80
Step-by-step explanation:
Just find the LCD and combine
Answer:
See below.
Step-by-step explanation:
A) 3/4 + 1/7 = 21/28 + 4/28 = 25/28
B) 2/5 + 3/6 = 12/30 + 15/30 = 27/30 = 9/10
C) 2/5 - 1/4 = 8/20 - 5/20 = 3/20
D) -2/6 - (-1/3) = -1/6 + 1/3 = 0
E) 5 ½ + 6 ½ = 5 + 6 + ½ + ½ = 12
F) 8 ¾ + 4 ½ - 2 ¹/6 = 8 + 4 - 2 + 9/12 + 6/12 - 2/12 = 10 13/12 = 11 1/12
G) 3/4 + 1/5 + 1/6 = 45/60 + 12/60 + 10/60 = 67/60 = 1 7/60
H) 8 ¾ + 4 ½ - 2 ¹/6 = 11 1/12
I) -3/12 - (-1/16) = -1/4 + 1/16 = -4/16 + 1/16 = -3/16
J) -3/48 - (4/5) + 1/5 = -15/240 - 192/240 + 48/240 = -159/240 = -53/80