Answer:
2x - 6x = -5-5
-4x = -10
4x = 10
x = 10/4
Therefore, x= 5/2.
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
Learn with an example
Felipe's lacrosse team will play in the Hickory Hills Tournament this weekend. They will
play 6 different teams, each with a 50% chance of winning. How likely is it that Felipe's
lacrosse team will win all 6 of their games?
Which simulation could be used to fairly represent the situation?
Flip a coin 6 times. Each time the coin lands on tails, it represents Felipe's
lacrosse team winning a game.
Create a deck of 6 cards, each labeled with a different number from 1 to 6.
Pick a card, then return it to the deck, 6 times. Each time a 6 appears, it
represents Felipe's lacrosse team winning a game.
Use a computer to randomly generate 6 numbers from 1 to 3. Each time 1 or
2 appears, it represents Felipe's lacrosse team
Answer:
50% chance that they will win each game..and there's 6 games... so 3!
Step-by-step explanation:
Which shows the solution set to the
inequality below?
2x+35-5
A. H
-5 -4 -3 -2 -1
0 1
++
2 3 4 5
-
B. +
HHHHHH
-5 -4 -3 -2 -1 0 1 2 3 4 5
C. HA
++++
-5 -4 -3 -2 -1 0 1
0 1 2 3 4 5
D.
-5 -4 -3 -2 -1
+++++
0 1 2 3 4 5
Answer:
The answer is C hope this can help you out!
Let g: R+R+ be defined by g(x) = x2 +1. Determine the domain, co-domain and range of g.
Domain:-
For any real x function is not undefined .
Domain belongs to RCodomain belongs to R+
Range:-
x² always ≥0Hence
range=[1,oo)A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy if
the volume is 729 cubic inches?
Answer:
[tex]\huge\boxed{\sf h = 6.75 \ in.}[/tex]
Step-by-step explanation:
Given Data:
Base area = [tex]A_{B}[/tex] = 108 in.²
Volume = V = 729 in.³
Required:
Height = h = ?
Formula:
[tex]V=A_{B}h[/tex]
Solution:
For h, rearranging formula:
[tex]\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}[/tex]
Solve this system of equations. -2x-4y=-12
Answer:
x = 6 and y = 3
Step-by-step explanation:
Your equation: -2x-4y=-12
__________________________________________________
First, we'll solve for x.
You need to divide -2x on both sides.
**We'll exclude/forget the -4y since we're not dealing with it right now.
-2x = -12
x = 6
When dividing with negatives, if both of the numbers are negatives they shall cancel and become positive.
-12 divided by -2 is 6 positive.
Therefore, x = 6
_______________________________________________________
Next, we'll solve for y
The same thing as last, we'll exclude our -2x since we're not dealing with it anymore.
-4y = -12
-12 divided by -4 is a positive answer since the two negatives cancel out.
-12/ -4 = 3
Therefore, y = 3
________________________________________________________
The proper vocabulary of the "x" and the "y" are x-intercept and y-intercept.
We just solved for both.
If a circle has a diameter of 11.5 feet, what is the area?
Answer:
103.87 ft.
In this case, area equals [tex]\pi r^2[/tex]
The diameter is [tex]2r[/tex]
But before worrying about anything else, we must start the problem. Let's do that now.
The first step is to find the broken-down form of the area.
A = [tex]\frac{1}{4} \pi d^2[/tex]
Next, break this equation into a solvable definition.
[tex]\frac{1}{4} * \pi * 11.5[/tex]
Lastly, solve this equation, and round.
[tex]A[/tex] ≈ [tex]103.86891~ft^2[/tex]
[tex]tan((x/2)-(pi /2))=\sqrt2[/tex]
[tex]\textit{Cofunction Identities} \\\\ sin\left(\theta-\frac{\pi}{2}\right)=-cos(\theta) \qquad\qquad cos\left(\theta-\frac{\pi}{2}\right)=+sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan\left(\frac{x}{2}~~ - ~~\frac{\pi }{2} \right)~~ = ~~\sqrt{2}\qquad \qquad \qquad \stackrel{\textit{let's make for a second}}{\cfrac{x}{2}=\theta } \\\\[-0.35em] ~\dotfill[/tex]
[tex]tan\left(\theta-\frac{\pi}{2}\right)\implies \cfrac{sin\left(\theta-\frac{\pi}{2}\right)}{cos\left(\theta-\frac{\pi}{2}\right)}\implies \cfrac{-cos(\theta )}{+sin(\theta )}\implies -cot(\theta )\implies -cot\left( \frac{x}{2} \right)[/tex]
[tex]-cot\left( \frac{x}{2} \right)~~ = ~~\sqrt{2}\implies cot\left( \frac{x}{2} \right)=-\sqrt{2} \\\\\\ cot^{-1}\left[ cot\left( \frac{x}{2} \right) \right]=cot^{-1}\left(-\sqrt{2} \right)\implies \cfrac{x}{2}=cot^{-1}\left(-\sqrt{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=2\left[ cot^{-1}\left(-\sqrt{2} \right) \right]~\hfill[/tex]
Keiko sold 3 less than three-fourths of his sister’s sales. Which expression represents what Keiko sold?
Using synthetic division, what is the width of the rectangle?
5 x squared + 4 x minus 6
5 x squared + 34 x + 108 + StartFraction 306 Over x + 3 EndFraction
5 x cubed + 4 x squared minus 6 x
5 x squared + 34 x + 108 + StartFraction 306 Over x minus 3 EndFraction
Answer:
c
Step-by-step explanation:
c
Answer:
its A!!!
Step-by-step explanation:
I need to solve for “x” and then for “y”.
Step-by-step explanation:
[tex]13 - 4y = 1 - y(opposite \: angles \: of \: a \: parallelogram \: are \: equal) \\ 13 - 4y = 1 - y \\ - 4y + y = 1 - 13 \\ - 3y = - 12 \\ y = \frac{ - 12}{ - 3} \\ y = 4 \\ \\ 7x - 3 = 6x + 3(opposite \: angles \: of \: a \: parallelogram \: are \: equal) \\ 7x - 3 = 6x + 3 \\ 7x - 6x = 3 + 3 \\ x = 6 \\ x = 6 \: \: \: \: \: y = 4[/tex]
Order of Operations
40 + (1 + 2) - 2
3[16 - (2 + 5)]^2
100-50/100-3(2+3)^2
Answer:
41, 243, 2
Step-by-step explanation:
40 + (1 + 2) - 2
=41
3[16 - (2 + 5)]^2
=243
100-50/100-3(2+3)^2
=2
*please show your work *
Find the volume of the rectangular prism in cubic yards.
《V = lwh》
2 feet
5 feet
8 feet
Answer:
V = 80
Step-by-step explanation:
V = lwh
V = 8(5)(2)
V = 40(2)
V= 80
Find the slant height of the prism
a.10
b.5
c.7
d.3
Check the picture below.
Find the maximum number of children to whom 30 sweaters and 45
trousers can be equally distributed.also find how many sweaters and trousers each child got ?
Answer:
15 children2 sweaters; 3 trousers eachStep-by-step explanation:
The desired distribution can be found by factoring out the greatest common factor from two numbers.
30 sweaters + 45 trousers = 15(2 sweaters + 3 trousers)
Each of 15 children got 2 sweaters and 3 trousers.
_____
Additional comment
The two numbers can be factored as ...
30 = 2·3·5
45 = 3·3·5
The factors these numbers have in common are 3·5 = 15
How much is 240 in into ft
Answer:
How much is 240 in into ft 20 ft
Step-by-step explanation:
hope this helps
Stephan cuts a 50-yard ribbon. One piece is 7 yards longer than the other. What is the length of each piece?
Answer:
It should be 32 and 18 but I'm bro entirely sure
Find the minimum distance from the parabola x-y^2=0
to the point (0,3).
Answer:
√5
Step-by-step explanation:
The distance from the given point to the curve can be found using the distance formula. The resulting expression can be minimized to find the minimum distance.
d = √((x2 -x1)² +(y2 -y1)²)
__
Point on the ParabolaA point on the parabola can be described by ...
x -y² = 0
x = y² . . . . . add y²
Then a point on this curve is ...
(y², y)
Distance to Given PointThe distance to it from (0, 3) is ...
d = √((0 -y²)² +(3 -y)²) = √(y⁴ +y² -6y +9)
Find the MinimumThe distance will be minimized when the derivative of the radical expression is zero:
d(y⁴ +y² -6y +9)/dy = 0 = 4y³ +2y -6
0 = 2y³ +y -3 . . . . . . . . remove a factor of 2
This will have a rational root in the set {±1, ±3}.
Trial and error shows that y=1 is the only real solution to this equation.
__
Then the minimum distance is ...
d = √(1⁴ +1² -6·1 +9) = √5
_____
Additional comment
The attached graph shows that a circle with radius √5 centered at (0, 3) will intersect the parabola at exactly one point. That confirms our solution.
Which expression can be simplified to the form 3\y + 3, where y is a positive integer?
Answer: Choice B) [tex]\sqrt{63}[/tex]
========================================================
Explanation:
Let's rewrite the given expression like so
[tex]3\sqrt{y+3}=\sqrt{3^2}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9}\sqrt{y+3}\\\\3\sqrt{y+3}=\sqrt{9(y+3)}\\\\[/tex]
We can see that the radicand is a multiple of 9 since 9 is a factor.
This immediately rules out choices C and D because 75 and 84 are not multiples of 9.
-------------
Plug in the smallest positive integer (1) for y to get
[tex]\sqrt{9(1+3)}=\sqrt{9(4)} = \sqrt{36}\\\\[/tex]
The radicand 36 is larger than the radicand for choice A (18), meaning we can rule out choice A. There's no way to get a radicand of 18 since y = 1 is the smallest we can go for.
We can however get to 63 by using y = 4
[tex]\sqrt{9(4+3)}=\sqrt{9(7)} = \sqrt{63}\\\\[/tex]
Showing that choice B is of the form [tex]3\sqrt{y+3}[/tex] where y is a positive integer, specifically when y = 4.
What is the sum of the infinite geometric series? −5+2−4/5+8/25−16/125...
Answer:
-25/7
Step-by-step explanation:
The sum of an infinite series with first term 'a' and common ratio 'r' is ...
S = a/(1 -r)
Your series has a=-5 and r=-2/5, so the sum is ...
S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7
The sum of the series is -25/7.
A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that: He plans to drive 100 miles. He has at most $70 to spend. Which inequality can be used to determine xx, the maximum number of days Hudson can afford to rent for while staying within his budget?
Answer:
1.97 day; 1 day.
Step-by-step explanation:
0.07*100 = 7
31.91x - 7 = 70
70 - 7 = 63
31.91x = 63
63 / 31.91 = 1.97
The number is a/an...
국
Question 3
Compute the probability of Susan turning 44 years old (event A), given that Carl has reached the age of 44 (event B).
Answer:
Events A and B are independent of each other, so P(B∣A)=P(B)=0.95726.
Explanation -
I got this answer from Plato.
Order the numbers from least to greatest.
13/50
22%
0.28
1/5
0.41
1/5, 13/50, 0.28, 0.41, 22%
Step-by-step explanation:
hopes this helps
what is the slope of the line pls help
Answer:
1/2
Step-by-step explanation:
The slope is the rise over the run, also known as the change in y value over the change in x value
m = 2/4 =1/2
We know it is positive since it goes up from the left to the right
Please answer the questions (for 50 points) Also please show work on the answer
Answer:
144 sq cm
Step-by-step explanation:
The base is a triangle. Area of a triangle is:
A = 1/2 b • h
A = 1/2(4)•3
A = 6
There are 2 of these bases.
Area of 2 bases= 12.
There are three rectangular sides. Area of a rectangle is:
A = l × w (or b•h)
A = 5 × 11 = 55
A = 3 × 11 = 33
A = 4 × 11 = 44
Add up three rectangular faces and two bases for Total Surface Area:
12 + 55 + 33 + 44
= 144 sq cm
Answer:
144 cm ²
Step-by-step explanation:
The surface area of a right triangular prism is made up of 2 congruent triangles (these are called the "bases") and 3 rectangles.
Surface area of a right triangular prism formula
Surface area = (S₁ + S₂ + S₃)L + bh
where:
S₁, S₂ and S₃ are the side lengths of the triangleL is the length of the prismb is the length of the base of the triangleh is the height of the triangle⇒ Surface area = (3 + 4 + 5)11 + 4 × 3
= (12)11 + 12
= 132 + 12
= 144 cm²
100 points
Aaron goes to his favorite hamburger joint with a friend and orders two hamburgers and two French fries. His total cost is $10.50. The next week, he goes with two other friends. They order four hamburgers and three French fries. This time the total is $19.50. Choose two equations that could be used to determine the cost of hamburgers (h) and French fries (f).
Each french fry costs $1.5 and hamburger $3.75
=================
two hamburgers + two French fries = $10.50 ____ equation 1four hamburgers + three French fries = $19.50 _____equation 2Consider hambugers as "h" and fench fries as "f"
2h + 2f = 10.5 ___ equation 14h + 3f = 19.5 ___ equation 2We can solve them to find the cost of each hambuger and fench fry
Solve for f :
(10.5 - 2f)/2 = (19.5 -3f)/442 - 8f = 39 -6f-6f + 8f = 42 - 392f = 3f = 1.5Solve for h :
h = (10.5 - 2f)/2h = (10.5 - 2(1.5))/2h = 3.75What is the volume of Prism B if the volume of Prism A is 1120 in??
Answer:
140 in³
Step-by-step explanation:
The ratio of volumes of similar objects is proportional to the cube of the ratio of the linear dimensions.
__
Here, prism B is half the height of prism A, so will have (1/2)³ = 1/8 of the volume of prism A:
Vb = (1/8)×Va
Vb = (1/8)×(1120 in³) = 140 in³
The volume of Prism B is 140 cubic inches.
Write an expression that can be used to produce vector g from vectors e and f Explain how
you determined that expression.
Answer:
Step-by-step explanation:
vector e is (-1,5),f is (3,-4),g is (2,1)
2i+j=x(-i+5j)+y(3i-4j)
2=-x+3y (multiply by 5)
10=-5x+15y
1=5x-4y
add
11=11y
y=1
2=-x+3(1)
x=3-2=1
2i+j=1(-i+5j)+1(3i-4j)
What answer is this I can’t find it
