Answer:
well since there are infinite numbers the probability is hard to solve. is there like a:
what is the probability of selecting a number that is a multiple of 15 in a hat that has paper with numbers from 1- 100
kind of thing?
Step-by-step explanation:
Determine the graph of the sinusoid with amplitude of 4 and period of 2π/3
Answer:
Option b.
y = 4 sin (3x)
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The period is
T = 2π/3
This means the frequency in radians is
W = 2π/T = 3
The equation is either:
y = 4 cos(3x)
y = 4 sin (3x)
The correct answer is
Option b.
y = 4 sin (3x)
Use the graphs of f(x) = 2
x
and g(x) = 1
-3-x
to determine the solutions to f(x) = g(x).
Answer:
A
Step-by-step explanation:
The solution to f(x) = g(x) occurs where the two graphs cross. That's at the point (-2, -1).
Answer A.
To find where f(x) = g(x), set the two functions equal to each other and solve for 'x'. After some mathematical simplification and operations on both sides of the equation, we find that the solution is x = -1/9.
Explanation:In mathematics, to find the solution for f(x) = g(x), you need to set the two equations equal to each other and solve for x. Here, we have f(x) = 2x and g(x) = 1/-3-x. Setting these two equations equal gives 2x = 1/-3-x.
To solve this equation, first, let's simplify the right hand side by multiplying both sides by -1 to make it easier to solve. Now the equation is -2x = 1/3+x.
Subtracting 'x' from both sides of the equation gives -3x = 1/3. Divide by -3 to solve for x so, x = -1/9. So, the solution for the equation f(x) = g(x) is x = -1/9.
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What is mCE?
A.9
B.9.6
C.10
D.9.4
Answer:
B
Step-by-step explanation:
Triangle ABD and triangle ACE are similar. So we can write a proportion:
AB / BD = AC / CE
5 / 4 = 12 / CE
CE = 9.6
The measure of side CE will be 9.6. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle ΔABD and triangle ΔACE are similar. Then we have
AB / AC = BD / CE
5 / 12 = 4 / CE
CE = 9.6
Then the measure of side CE will be 9.6.
Then the correct option is B.
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Ronald is setting up an aquarium in his new office. At one pet store, fish cost $2 each and an aquarium cost $40. At another pet store, fish cost $3 each and an aquarium cost $36. Write and solve a system of equations to represent the cost of x fish and an aquarium at each store. Solve this the system. What does this solution represent? If Ronald wants 5 fish, from which pet store should he buy his aquarium
Answer:
Store #1 : 2x + 40
Store #2 : 3x + 36
he should buy his aquarium from store #1 because (2 * 5) + 40 = 50 and (3 * 5) + 36 = 51, therefore it is cheaper at store #2 if he is buying 5 fish
To represent the cost of x fish and an aquarium at each store, we can set up a system of equations and solve them. By substituting the given information into the equations and simplifying, we can find the values of the variables. The solution represents the cost of an aquarium at each store. By comparing the total cost at each store, we can determine from which pet store Ronald should buy his aquarium if he wants 5 fish.
Explanation:To write a system of equations to represent the cost of x fish and an aquarium at each store, let's assign variables to the cost of fish and the cost of an aquarium at each store.
Let:
x = number of fish
y = cost of an aquarium at the first store
z = cost of an aquarium at the second store
The first equation can be set up as: 2x + y = total cost at the first store
The second equation can be set up as: 3x + z = total cost at the second store
Solve this system to find the values of y and z.
Substitute the given information into the equations:
2x + y = 40 (equation 1)
3x + z = 36 (equation 2)
Multiply equation 1 by 3 and equation 2 by 2 to eliminate the y variable:
6x + 3y = 120
6x + 2z = 72
Subtract equation 2 from equation 1:
6x + 3y - (6x + 2z) = 120 - 72
6x - 6x + 3y - 2z = 48
y - 2z = 48
Now we have a system of equations:
y - 2z = 48
3x + z = 36
Solve this system using any method of your choice, such as substitution or elimination, to find the values of y and z.
Once you have the values of y and z, you can determine the cost of an aquarium at each store.
Compare the total cost at each store to decide from which pet store Ronald should buy his aquarium if he wants 5 fish.
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard deviation of 4.5 inches.
Enter the z-score of a trout with a length of 28.2 inches.
Answer:
z = -0.4.
Step-by-step explanation:
Here's the formula for finding the z-score (a.k.a. standardized normal variable) of one measurement [tex]x[/tex] of a normal random variable [tex]X \sim N(\mu,\; \sigma^{2})[/tex]:
[tex]\displaystyle z = \frac{x-\mu}{\sigma}[/tex],
where
[tex]z[/tex] is the z-score of this measurement, [tex]x[/tex] is the value of this measurement, [tex]\mu[/tex] is the mean of the random normal variable, and[tex]\sigma[/tex] is the standard deviation (the square root of variance) of the random normal variable.Let the length of a trout in this lake be [tex]X[/tex] inches.
[tex]X \sim N(30, \; 4.5^{2})[/tex].
[tex]\mu = 30[/tex], and[tex]\sigma = 4.5[/tex].For this measurement, [tex]x = 28.2[/tex]. Apply the formula to get the z-score:
[tex]\displaystyle z = \frac{x - \mu}{\sigma} = \frac{28.2 - 30}{4.5} = -0.4[/tex].
2 times a number is 56, what is it?
Set up an equation to model this situation and solve:
2x=56
*Divide both sides by 2*
x=38
Hope this helps!!
What would be the maximum value of the function for the graph shown if we consider the graph to be a cosine function of the form y = a cos (x - c)?
0
2
-4
-2
Answer:
2
Step-by-step explanation:
The maximum value is the amplitude. Looking at graph, it would be the highest point in the graph.
Each unit of the graph is 2 units, hence the maximum value, clearly looking at the graph, would be y = 2. Also the minimum value is y = -2.
So, the maximum value is 2
find the domain of y=4√x-8
Answer:
{ x | x ≥ 8 }
Step-by-step explanation:
One endpoint of a line segment is at (−4, −2). The line is bisected by placing the midpoint of the line segment at (3, 1). What are the coordinates of the other endpoint? (−4, −6) (−0.5, −0.5) (10, 4) (9, 5)
Answer:
(10, 4)
Step-by-step explanation:
The horizontal distance from (-4, -2) to the midpoint (3, 1) is 7, and the vertical distance is 3. To find the other end point of this line segment, add 7 to the x-coordinate of the midpoint: 3+7 = 10, and add 3 to the y-coordinate of the midpoint: 1 + 3 = 4. The coordinates of the other end of this segment are thus (10, 4) (the fourth possible answer choice).
Please Help!!! What is the true solution to the equation below? 2log3(6x)-log3(4x)=2log3(x+2)
Answer:
x = 1 and x = 4
Step-by-step explanation:
A graph of the given equation, after rewriting to make the solutions be zeros of the function, shows the solutions to be x = 1 and x = 4.
You can take the antilog and solve the quadratic:
log3((6x)^2/(4x)) = log3((x+2)^2) . . . . consolidate the logs
9x = (x +2)^2 . . . . simplify and take the antilog
0 = x^2 -5x +4 . . . subtract 9x
0 = (x -4)(x -1) . . . . factor
Solutions are x = 1 and x = 4. (These values make the factors zero.)
Answer:
c on edge
Step-by-step explanation:
A delivery man earns $350 per week. He also earns 15% commission on any sales he makes. The function E(s) = 350+0.15s relates his sales, s, to his total weekly earnings, E(s). What were his sales, in dollars, the week he earned $432.50?
Answer:
$550
Step-by-step explanation:
You need the equation E(s) = 350 + 0.15s, where E(s) represent his total weekly earnings.
If he earned $432.50 this means E(s) = 432.50 and you can write it as:
350 + 0.15s = 432.50 and this is the equation we need to solve
You need to substract 350 on both sides of the equation
350 - 350 +0.15 s = 432.50 - 350
And we get
0.15s = 82.5
Then we divide both sides of the equation by 0.15
0.15s/0.15 = 82.5/0.15
And we get s = 550.
Which can be multiplied?
Answer:
B) BD
Step-by-step explanation:
The number of columns of the first matrix (2nd dimension) must match the number of rows of the second matrix (1st dimension). When you write the dimensions together, the two middle numbers must be the same.
AB ⇒ (3x2) × (3x5) . . . . 2 ≠ 3, so cannot be multiplied
BD ⇒ (3x5) × (5x7) . . . . 5 = 5, so can be multiplied
CD ⇒ (2x3) × (5x7) . . . . 3 ≠ 5, so cannot be multiplied
DD ⇒ (3x5) × (3x5) . . . . 3 ≠ 5, so cannot be multiplied
Find the perimeter of this figure to the nearest tenth. Use 3.1 to approximate
Since the diameter and height of both shapes are the same, we know that the equation to solve for the semi circle is:
πr = 3.1*8 = 24.8
16 + 20 = 36
36 + 24.8 = 60.8
The perimeter of the shape is 60.8 ft
If g(x)=f(x+1), then g(x) translates the function f(x) 1 unit _[blank]_.
Which word correctly fills in the blank?
down
left
right
up
ANSWER
Left
EXPLANATION
The given function is
g(x)=f(x+1)
This means that the base function is:
f(x).
The translation f(x+k) will shift the graph to left by k units while f(x-k) will shift the graph to right by k units
Therefore if g(x)=f(x+1) translates the function f(x) 1 unit left.
Answer: left
Answer:
g(x) translates the function f(x) 1 unit left.
Step-by-step explanation:
Consider the provided function.
g(x)=f(x+1)
Transformation:
Rule 1: The graph of parent function f(x) move up b unit for f(x)+b.
Rule 2: The graph of parent function f(x) move down b unit for f(x)-b.
Rule 3: The graph of parent function f(x) move left b unit for f(x+b).
Rule 4: The graph of parent function f(x) move right b unit for f(x-b).
From the rule 3 we can say that the graph of parent function move left 1 unit for g(x)=f(x+1)
g(x) translates the function f(x) 1 unit left.
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Answer:
[tex]5P3*6C4=60*15=900[/tex]
Step-by-step explanation:
[tex]5P3[/tex] refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;
[tex]5P3=\frac{5!}{(5-3)!}[/tex]
The factorial of an integer n is evaluated as;
[tex]n!=n*(n-1)*(n-2)*(n-3).......3*2*1[/tex]
Using this concept, the above expression can now be simplified as follows;
[tex]5P3=\frac{5!}{2!}=\frac{5*4*3*2!}{2!}=5*4*3=60[/tex]
Therefore, the permutations of 5 items taken 3 at a time is 60.
The next expression, [tex]6C4[/tex] refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;
[tex]6C4=\frac{6!}{4!(6-4)!}=\frac{6!}{4!*2!}=\frac{6*5*4!}{4!*2*1}=\frac{6*5}{2*1}=15[/tex]
Therefore, the combinations of 6 items taken 4 at a time is 15.
The final step is to evaluate the product;
[tex]5P3*6C4=60*15=900[/tex]
LMN = QPR
What is the value of x in degrees?
Answer:
x = 72 degrees
Step-by-step explanation:
If triangle LMN = triangle QPR, that means:
- angle L (x) equals angle Q
- angle M equals angle P
- angle N equals angle R
We know angle Q equals 72 degrees and we know angle Q equals angle L. Since angle L is the "x" we are looking for, we know that x = 72 degrees.
PLEASE HELP BRAINLY AND MAX POINTS!!!
You bought a car that was 25,500 dollars and the value depreciates by 4.5% each year. How much would the car be worth after 5 years? Be sure to give the equation and the answer.
Answer:
19,262.5
Step-by-step explanation:
If the car decreases by 4.5% eah year for 5 years-
4.5 x 5 = 22.5%
So after 5 years, the car would be 22.5% cheaper.
22.5% of 25,000 is multiplication-
.225 x 25,000 = 19,262.5
hope this helps!
The probability that a fair coin tossed 10 times will land heads up on all ten tosses is 1 out of ____.
A.)2
B.)10
C.)210
Answer:
10
Step-by-step explanation:
because tossed 10 times so it would be 1 out of 10
Answer:
The answer is B
Step-by-step explanation:
What is the area of the figure?
What is the area of the figure?
Answer:
the answer 43.5 units²
Step-by-step explanation:
i took this in school and remember it hope it helped
1. The area of the figure is 42 units².
2. The area of the figure is 38 units²
The area of a figure is the extent of its 2D space, quantifying the region it occupies.
It's calculated using specific formulas based on the figure's geometric properties, such as length, width, and shape.
1. The figure can be splitted into 3
Area1 = 1/2bh
= 1/2 × 7 × 2
= 7units²
Area 2 = l × w
= 7 × 4 = 28 units²
Area 3 = 1/2bh
= 1/2 × 7 × 2
= 7 units²
Area of figure = 28+7+7
= 42 units²
2. The shape can be divided into a trapezoid and two equal triangles
area of Trapezoid = 1/2(a+b)h
= 1/2 ( 3+5)8
= 8 × 4
= 32 units²
area of triangle = 1/2bh
= 1/2 × 3 × 4
= 6 units²
area of the figure = 32 + 6
= 38 units²
Triangle ABC is congruent to triangle DEF .
Which statement must be true about the triangles?
BC = DE
m∠A=m∠D
m∠B=m∠F
AC = EF
Answer:
[tex]\boxed{m\angle A = m\angle D}\\[/tex]
Step-by-step explanation:
When you use a congruence statement, you must line up the corresponding parts of the triangles.
BC = DE is wrong, because BC = EF.
[tex]\boxed{m \angle A = m \angle D}[/tex] is correct.
m∠B = m∠F is wrong, because m∠B = m∠E.
AC = EF is wrong, because AC = DF
Triangle ABC is congruent to triangle DEF.m∠A=m∠D must be true about the triangles. Option B is correct.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
Triangle DEF and triangle ABC are congruent. The following assertion concerning triangles must be true:
m∠A=m∠D
Hence, statement B is correct.
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Let D = {x| x is a student} be the domain, and let ƒ(x) = “date of birth” be the possible function. Determine if the relation is an example of a function.
It is.
The function is just another way of saying to transfer something from domain A to domain B.
[tex]f(x)=y:A\longrightarrow B; x\in A, y\in B[/tex]
Now your function states:
[tex]D=\{x\} \\
f(x)=y: D\longrightarrow E; x\in D, y\in E[/tex]
A soccer field is 80 yd wide and 110 yd long. Find the length of the diagonal of such a field. Give an exact answer as a radical expression and an approximation to three decimal places.
Answer:
136.015 yd
Step-by-step explanation:
Length of diagonal is:
√( (80 yd)² + (110 yd)² ) = √( 18500 yd² ) = 136.015 yd
Add. Express your answer in standard form. (−3+5i)+(6+2i). Enter your answer in the box.
You add/subtract complex numbers simply by adding/subtracting real parts and imaginary parts.
So, the real part of this sum is the sum of the real parts:
[tex]-3+6=3[/tex]
And the imaginary part of this sum is the sum of the imaginary parts:
[tex]5i+2i=7i[/tex]
So, you have
[tex](-3+5i)+(6+2i) = 3+7i[/tex]
Find the area of a triangle
The triangle has 7.6 on both sides , 3in twice on the bottom, and a 7in has the height
PLEASE HELP!!!!
Answer:
10.5 in. ²
Step-by-step explanation:
a = (b × h) ÷ 2
a = (7 × 3) ÷ 2
a = 21 ÷ 2
a = 10.5
SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
Remember to be mindful of the signs when adding and subtracting. The answer is:11w^4-5w^2z^2-4z^4
A firework is thrown from the top of a hill. The distance, in feet, between the rock and the ground x seconds after it's set off is given by h(t)=-8^2t + 48t + 56. What is the height of the hill where the rocket is set off?
so you first at the two numbers then you at the number to go out with a second then you keep doing that until you get into you don't have no more to answer so thank you
Initially a pool contains 350 gallons of water. A hose is placed in the pool and the water is turned on. The hose adds 5.2 gallons of water per minute. Model the total amount, V, of water in the pool for x, the number of minutes the hose has been on. A) V(x) = 5.2x B) V(x) = 350x - 5.2 C) V(x) = 350x + 5.2 D) V(x) = 5.2x + 350
Answer:
I think the answer is A sorry if I'm wrong
Each candle uses 10 ounces of wax and 1 ounces of scent. Explain in complete sentences how I can determine the number of candles that can be made if I have 50 pounds of wax.
You would multiply 50x16 being 16 ounces= 1 pound and than divide that by 10
What shape is the cross section formed by the intersection of a cone and a plane parallel to the base of the cone?
The intersection of a cone and a plane parallel to its base is a circle. This is due to the concept of 'conic sections' that determine the shape based on the angle and position of the plane's intersection with the cone.
Explanation:The cross section formed by the intersection of a cone and a plane parallel to the base of the cone is a circle. This shape is one of the conic sections, which also include the ellipse, parabola, and hyperbola. These shapes are formed depending on the angle and position at which a plane intersects with a cone.
A circle is formed when the cutting plane is parallel to the base of the cone. If the plane was at an angle, other shapes like an ellipse, parabola or hyperbola would be obtained. The word 'conic sections' comes from this geometric principle of intersecting a cone with a plane.
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Help with this question, please!! I don't understand!!
Answer:
The first choice.
Step-by-step explanation:
The area is multiplied by (1/2)^2 = 1/4.
This is because lengths are one dimensional and areas are 2 dimensional.
Answer:
First option is correct i.e: The surface area is multiplied by 1/4
Step-by-step explanation:
Need to compare the surface area of right rectangular prism when the length, width and height are halved as compared to original length, width and height.
length =4,width =2,height =7
Area of right rectangular prism = 2(wl+hl+hw)
=2(2*4 + 7*4 + 7*2)
=2(8+28+14)
=2(50)
= 100 cm³
Now, if the length, width and height are halved, the surface area will be:
length= 2, width=1, height= 3.5
Area of right rectangular prism= 2(1*2 + 3.5*2 + 3.5*1)
= 2(2+7+3.5)
=2(12.5)
=25 cm³
if the length, width and height are halved the surface area is 25 cm³ while if original length, width and height are used the surface area is 100 cm³.
So, first option is correct i.e: The surface area is multiplied by 1/4.