Step-by-step explanation:
Using the given formula, we can substitute x = 3 and solve for y:
y = 5 x 2^x
y = 5 x 2^3 (substitute x = 3)
y = 5 x 8
y = 40
Therefore, when x = 3, y = 40.
Answer:
y = 40
Step-by-step explanation:
Plug in 3 for x
\(\bf{y=5\times2^x}\)
\(\bf{y=5\times2^3}\)
Simplify
\(\bf{y=5\times8}\)
Simplify
\(\bf{y=40}\)
Hence, y = 40
Does the following system have a unique solution? Why? {2x+4y=13 -x+2y=8
Step-by-step explanation:
2x+4y=13-x+2y=8
2x+x=4y+2y+13=8
3x=6y+13=8
An automobile tire at 30.0°c has a pressure of 3.00 atm. the temperature decreases to -5.00°c. assume that there is no volume change in the tire. formula to use: p1 t1 = p2 t2 how does the tire pressure change in response to the temperature change?
The process is an isochoric process. Then the tire pressure change in response to the change in temperature is 2.65 atm.
What is thermodynamics?It is a branch of science that deals with heat and work transfer.
An automobile tire at 30.0°C has a pressure of 3.00 atm.
The temperature decreases to -5.00°C.
Assume that there is no volume change in the tire.
Then for the constant volume process, we have
\(\dfrac{P_1}{P_2} = \dfrac{T_1}{T_2}\\\\\dfrac{3}{P_2} = \dfrac{303}{268}\\\\P_2 \ = 3\times \dfrac{268}{303}\\\\P_2 \ = 2.65\)
The tire pressure change in response to the change in temperature is 2.65 atm.
More about the thermodynamics link is given below.
https://brainly.com/question/7206767
Answer:
How does the tire pressure change in response to the temperature change?
✔ decreases
What is the new pressure of the tire after the temperature change?
2.65 ✔ atm
Step-by-step explanation:
Got it right on edge
Daniel has a coupon for $1.44 off
name-brand flour that usually costs
$9.12. The store-brand flour costs $8.86.
How much will Daniel save by using his
coupon to buy the name-brand flour,
instead of buying the store-brand?
I’m mostly struggling with the problem steps part I can do the first parts but then the other steps I struggle with.
Answer:
Daniel will save $1.18
Step-by-step explanation:
First, find the cost of the name-brand flour with the coupon:
Subtract 1.44 from the original price of 9.12:
9.12 - 1.44
= 7.68
So, the price of the name-brand flour with the coupon is $7.68
Now, find how much he will save by finding the difference between this price and the price of the store brand flour:
8.86 - 7.68
= 1.18
So, Daniel will save $1.18
The radius of a circle is 1 inch. What is the circle's area? r=1 in Use 3.14 for .
Answer:
3.14
Step-by-step explanation:
area=pi times the square of radius
1^2 = 1 x 3.14=3.14
12 cm
14 cm
1
-
Find volume
Answer:
Volume of cylinder = 6,330.24 cmSolution:
Volume of cylinder = area of base × altitude
Volume = πr² × altitude
V= 3.14 × 12² × 14
V = 3.14 × 144 × 14
V = 6,330.24 cm
Write parametric equations for a point travelling along the line
y=2x-6, such that at t=0 the point is at the x-intercept and at t=1
the point is at the y-intercept.
The required parametric equations arex = 3 - 3ty = -6 - 6t
Given the equation of the line as y = 2x - 6The x-intercept of the line is the point where the line intersects the x-axis. At this point, the value of y is zero.
Substituting the value of y = 0 in the equation of the line, we get;0 = 2x - 6⇒ 2x = 6⇒ x = 3Hence, the x-intercept is (3,0)The y-intercept of the line is the point where the line intersects the y-axis. At this point, the value of x is zero.
Substituting the value of x = 0 in the equation of the line, we get;
y = 2(0) - 6⇒ y = -6Hence, the y-intercept is (0,-6)
Now, let's find the direction of the line.
For that, we need two points on the line.(3,0) and (0,-6) are two points on the line.
Now, the direction of the line is given by the difference between the two points.
We get;
direction of the line = (0, -6) - (3,0) = (-3,-6)
To find the parametric equations of the line, we can use the point-slope form of the equation of the line which is given by;y - y₁ = m(x - x₁)Here, the point (3,0) is the initial point where t = 0 and (0,-6) is the final point where t = 1.
Also, the direction of the line is (-3,-6)
We can substitute these values in the point-slope form to get the parametric equations as;x = 3 - 3ty = -6 - 6t
Hence, the required parametric equations arex = 3 - 3ty = -6 - 6t
Learn more about parametric equations from the given link
https://brainly.com/question/30451972
#SPJ11
Which point represents the opposite of 3 1/2
Answer:
S
Step-by-step explanation:
...................
Answer:
S
Step-by-step explanation:
Use the origin (0) to choose a point on the opposite side of the line
The point is 3 1/2. So, the opposite will be - 3 1/2.
Plewse gimme brainliest. Hit me up if you don't understand anything.
Determin if this is a function
Answer:
14-
Step-by-step explanation:
Answer: yes, this is a fuction
Step-by-step explanation:
hope this helps
NASA is painting the nose cone of a sounding rocket with a special sealant which reduces the air-drag on the rocket. If they need to do two coats of the sealant, how many square feet are they painting? Use π = 3.14.A. 56.5 ft²B. 27.3 ft²C. 35.3 ft²D. 28.3 ft²
In order to determine the number of required square feet to paint the nose cone, use the following formula for the surface area of a cone without the base:
\(S=\pi rl\)where
r: radius of the base of the cone = 3 ft
l: slant height of the cone = 6 ft
replace the previous values of the parameters into the formula for S and simplify:
\(S=(3.14)(3ft)(6ft)=56.5ft^2\)Hence, 56,5ft^2 are required
supplementary angles.
If the measure of
measure of
m
Answer: I don't quite understand your question. Supplementary angles are angles that equal 180 degrees. You can find missing supplementary angles by adding the two that are given, and then subtracting them by 180.
24 is what percent of 300
Answer:
8
Step-by-step explanation:
x/100=24/300
100 times 24 =2400
2400 divided by 300 = 8
What is x if 6x-7=13x+8
Answer:
6x-7=13x+8
6x-13x=8+7
-7x=15
x=-15/7
What is 3 4/9 as a decimal
Answer: 3.44
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
3 × 9 = 27
Step 2: Add the product you got in Step 1 to the numerator:
27 + 4 = 31
Step 3: Divide the sum from Step 2 by the denominator:
31 ÷ 9 = 3.444444
The answer to 3 4/9 in decimal form is displayed below:
3 4/9 ≈ 3.44
Answer:
Hello.
Step-by-step explanation:
So the answer is that 3 4/9 as a decimal is: 3.44
3= Whole number
4= Numerator
9= Denominator
To get 3 4/9 in decimal form, we convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.
Step 1: Multiply the whole number by the denominator: » 3*9=27
Step 2: Add the product you got in Step 1 to the numerator: » 27 + 4 = 31
Step 3: Divide the sum from Step 2 by the denominator: » 31 ÷ 9 = 3.44
That's all! :)
What is the standard deviation of the number of customers who make a purchase during the first hour that the store is open
Answer:
busy people
Step-by-step explanation:
before shop ending
10 10 x 10 10 x 10x10 x10
Answer:
Step-by-step explanation:
The answer is 10,000,000 because u have to do 10x10x10x10x10x10x10
So basically I did the most easiest way possible with is multiply 1 and 1 and then add the zero and I got 10 so if u add the zeros up 6 more times then we get 10 million or 10,000,000.
which sets of three lengths can be used to form a triangle?
A. 7ft, 5ft, 2ft
B. 6ft, 4ft, 8ft
C. 15cm, 18cm
D. 72 in, 10 in, 90 in
E. 6m, 2m, 12m
F. 6 yd, 21 yd, 25yd
The blackpoll warbler migrates 2,376 miles, stops, and then flies another 3,289 miles to reach its destination. The arctic tern migrates 11,013 miles, stops, and then flies another 10,997 miles to reach its destination. How much farther is the arctic tern's migration than the blackpoll warbler's migration?
A streaming video service administers a survey through its platform to evaluate the variety of options provided through the service. This is one of the questions on the survey.
Rate the variety of material available through our service on a scale of 1 to 4 stars, with 4 being the highest.
☆ ☆ ☆ ☆
Which of these could affect the results of the survey?
A.
The survey is biased because it was administered through the service instead of in person.
B.
The survey is biased because it is being taken only by the service’s users.
C.
People who don’t have the service can’t take the survey.
D.
The answer options could be interpreted differently by different users.
Answer:
The answer for you here is D.
Step-by-step explanation:
A. makes no sense, I don't think I need to explain myself there lol.
B. and C. both pretty much say the same thing, since you can only pick one that makes those answers sketchy. Not to mention, if anything it would be MORE biased for the survey to allow people who don't even use the service to vote.
D. This one simply makes the most sense, as that is indeed something that varies greatly from person to person. (Also I got this one right on the test :P )
The option that could affect the results of the survey is the answer options could be interpreted differently by different users.
What can affect the results of the survey?The survey is meant to be taken only by those who use the service. The fact that the survey administered through the service instead of in person does not make the survey biased.
The question is too ambiguous and it can be interpreted differently by the users.
To learn more about surveys, please check: https://brainly.com/question/13532910
#SPJ2
how to solve for examples of nonlevel annuities for which the payments for a pattern that is neither geometric nor arithmetic
The formula that is used to solve for examples of nonlevel annuities for which the payments for a pattern that is neither geometric nor arithmetic is explained below .
In order to solve for the present value or future value of a non-level annuity with payments that do not follow a geometric or arithmetic pattern, We use the formula for the present value or future value of an annuity that has varying payments:
⇒ PV = P₁/(1+r)¹ + P₂/(1+r)² + ... + Pₙ/(1+r)ⁿ
and
⇒ FV = P₁×(1+r)ⁿ⁻¹/(1+r)¹ + P₂×(1+r)ⁿ⁻²/(1+r)² + ... + Pₙ/(1+r)ⁿ
Where : PV = present value of the annuity
FV = future value of the annuity
P₁, P₂, ..., Pₙ = the payments for each period
r = the interest rate per period
n = the number of periods .
Learn more about Annuity here
https://brainly.com/question/28315540
#SPJ4
A group of 4 friends went to lunch and spent a total of $40, which included the $34 food bill and the tip. They decided to split the bill and tip evenly among themselves. One of the friends used the equation One-fourth (t 34) = StartFraction 40 over 4 EndFraction to represent the situation, where t represents the total amount of the tip. Which describes the amount each friend paid for the food and for the tip? Each friend paid $8. 50 for the food and $1. 50 for the tip. Each friend paid $10. 00 for the food and $6. 00 for the tip. Each friend paid $8. 50 for the food and $6. 00 for the tip. Each friend paid $10. 00 for the food and $1. 50 for the tip.
The amount each friend paid for food is $8. 50 for the food and $1. 50 for the tip.
What is division?The division is one of the most basic mathematical operators. It is used when a number is to be distributed equally in n number of parts.
As it is given that the total of 4 friends went to the lunch, the total amount paid by them is $40, but the food bill was just $34, therefore, the rest of the amount was paid in the tip. If we calculate the tip,
Tip = Total spent - Food bill
Tip = $40 - $34
Tip = $6
Now, as it is that the total amount spend by all on the food is $34, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,
\(\text{Total amount to be paid by each friend}=\dfrac{\text{Total amount spent by all on food}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$34}{4}\\\\\text{Total amount to be paid by each friend}=\$8.5\)
Further, the total amount tip by all is $6, and it is to be divided among the four friends, therefore, the amount paid by each of the friends is,
\(\text{Total amount to be paid by each friend}=\dfrac{\text{Total Tip}}{\text{Number of friends}}\\\\\text{Total amount to be paid by each friend}=\dfrac{\$6}{4}\\\\\text{Total amount to be paid by each friend}=\$1.5\)
Hence, the amount each friend paid for food is $8. 50 for the food and $1.50 for the tip.
Learn more about Division:
https://brainly.com/question/369266
Identifying a Quotient on a Number Line
ABC
←
-12-10-8
D
-2 0246 8 10 12
Which point on the number line represents the quotient
12+-2?
O Point A
O Point B
O Point C
O Point D
Answer: C
Step-by-step explanation:
12 %- 2 = -6
hope this helps :)
a is an nn matrix. determine whether the statement below is true or false. justify the answer. if a for some scalar , then is an eigenvector of a.
The statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.
What is matrix?A group of numbers built up in a rectangular array with rows and columns. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.
The statement is false. An eigenvector is a non-zero vector that, when multiplied by a matrix, produces a scalar multiple of itself. In other words, if v is an eigenvector of a matrix A, then Av = λv, where λ is the corresponding eigenvalue.
The statement suggests that if a is an nn matrix (presumably an n x n matrix), and a scalar α exists such that αv is an eigenvector of a, then v must also be an eigenvector of a. However, this is not necessarily true.
Let's consider a counterexample to demonstrate this. Suppose we have the 2x2 identity matrix I:
I = [[1, 0],
[0, 1]]
In this case, any non-zero vector v will satisfy the condition αv = v for α = 1. However, not all non-zero vectors v are eigenvectors of I. In fact, the only eigenvectors of I are [1, 0] and [0, 1] with corresponding eigenvalues of 1.
Therefore, the statement is false. The existence of a scalar α such that αv is an eigenvector of a does not imply that v itself is an eigenvector of a.
Learn more about matrix on:
https://brainly.com/question/30715889
#SPJ4
Help me with this please !!!! I will give you 50 POINTS!!!!!!!!!!!!!!!!!!!!
(っ^_^)っ⊂(◉‿◉)つ⊂(♡⌂♡)⊃⊂(◉‿◉)つ⊂(・▽・⊂)
Answer:
Sysem A has 2 real solutions (both the positive and negative form of a number can be squared to get a positive square)
System B has 0 real solutions (you can't square root a negative number and get a real number)
System C has 2 real solutions (same explanation as System A)
Let the graph of g be a vertical stretch by a factor of 2 and a
reflection in the x-axis, followed by a translation 3 units down of
the graph of f(x) = x². Write a rule for function g and identify the
vertex.
Vertex is slang for a corner or a place where two lines converge.The four corners of a square, for instance, are each referred to as a vertex.
Write a rule for function g and identify the vertex ?
The graph of g is a vertical stretch by a factor of 2 followed by a translation of 3 units down of the graph of f(x) = (x-1)²then the function g(x) = 2(x+4)²
f(x) =x²-2x+1 The graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of .f(x) =x²-2x+1
Rewrite the given function f(x).
f(x) = (x-1)²
Now, the graph is stretched vertically by a factor of 2.
= 2(-x-1)²
reflect the graph about the y-axis.
2(x+1)²
move to the left by 3 units.
= 2(x+3+1)²
=2(x+4)²
The function g(x) =2(x+4)²
To learn more about vertex function refer
https://brainly.com/question/18102238
#SPJ13
Which property of vectors is incorrect? Oax b = -b xa Oa·b = axb Oa· (b + c) = a · b + a.c = (a + b ) + c = a +(b + c)
The property of vectors that is incorrect is "Oa· (b + c) = a · b + a.c = (a + b ) + c = a +(b + c)". The correct property is "Oa· (b + c) = Oa·b + Oa·c".
The incorrect property of vectors among the given options is:
Oa·b = axb
This property is incorrect because the dot product (a·b) and cross product (axb) of two vectors are different operations with different results. The dot product is a scalar value, while the cross product is another vector that is orthogonal to the given vectors. The correct properties of vectors in your question are:
1. a x b = -b x a (cross product)
2. a · (b + c) = a · b + a · c (dot product distributive property)
3. (a + b) + c = a + (b + c) (vector addition associativity)
to learn more about distributive property click here:
brainly.com/question/13818728
#SPJ11
Assume that police estimate that 23% of drivers do not wear their seatbelts. They set up a safety roadblock, stopping cars to check for seatbelt use. They stop 20 cars during the first hour a. Find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts. Use the fact that the mean of a geometric distribution is pi = 1/p and the variance is ohm^2 = p/q^2? b. How many cars do they expect to stop before finding a driver whose seatbelt is not buckled?
The mean of the number of drivers expected not to be wearing seatbelts is approximately 4.35, the variance is approximately 15.62, and the standard deviation is approximately 3.95 and they expect to stop approximately 4.35 cars before finding a driver whose seatbelt is not buckled.
a. To find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts, we can model the situation using a geometric distribution.
Let's define a random variable X that represents the number of cars stopped until the first driver without a seatbelt is found. The probability of a driver not wearing a seatbelt is given as p = 0.23.
The mean (μ) of a geometric distribution is given by μ = 1/p.
μ = 1/0.23 ≈ 4.35
The variance (σ^2) of a geometric distribution is given by σ^2 = q/p^2, where q = 1 - p.
σ^2 = (0.77)/(0.23^2) ≈ 15.62
The standard deviation (σ) is the square root of the variance.
σ = √(15.62) ≈ 3.95
b. The expected number of cars they expect to stop before finding a driver whose seatbelt is not buckled is equal to the reciprocal of the probability of success (finding a driver without a seatbelt) in one trial. In this case, the probability of success is p = 0.23.
Expected number of cars = 1/p = 1/0.23 ≈ 4.35
To learn more about mean, variance and standard deviation go to:
https://brainly.com/question/30558769
#SPJ11
a1. Give an example of a nonzero vector that has a component of zero.
2. Explain why a vector cannot have a component greater than its own magnitude.
3. If the vectors A and B are perpendicular, what is the component of A along the direction of B? What is the component of B along the direction of A?
The both vectors' components are independent of each other, and they do not interfere with each other.
1. A nonzero vector that has a component of zero is a vector with one of its component set to zero. An example of such a vector is a two-dimensional vector (x,0). For instance, a vector of (5,0) has a component of zero in the y-axis.
2. A vector cannot have a component greater than its own magnitude because the magnitude is the total length of the vector, which represents its total strength. The components of the vector are directional pieces that define the vector. Thus, if the component is more significant than the total length, it means the vector's direction has been multiplied in that component, and the vector's magnitude cannot handle the force. Therefore, the component cannot be more significant than the vector's magnitude.
3. If the vectors A and B are perpendicular, the component of A along the direction of B is zero, and the component of B along the direction of A is zero. When two vectors are perpendicular, it means they meet at a 90-degree angle, and their dot product is zero, implying that the product of the magnitude of one vector and the magnitude of the other vector multiplied by the cosine of the angle between them is zero. Therefore, both vectors' components are independent of each other, and they do not interfere with each other.
Learn more about Components
brainly.com/question/30324922
#SPJ11
(3,4) and (12,19) find the equation of the line that passes through it
Answer:
The equation of the line will be:
\(y=\frac{5}{3}x-1\)
Step-by-step explanation:
Given the points
(3, 4)(12, 9)Finding the slope between (3, 4) and (12, 9)
\(\left(x_1,\:y_1\right)=\left(3,\:4\right),\:\left(x_2,\:y_2\right)=\left(12,\:19\right)\)
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{19-4}{12-3}\)
\(m=\frac{5}{3}\)
The equation of the line can be obtained using the point-slope form of the equation of the line
\(y-y_1=m\left(x-x_1\right)\)
substituting the values m = 5/9 and the point (3, 4)
\(y-4=\frac{5}{3}\left(x-3\right)\)
\(y-4+4=\frac{5}{3}\left(x-3\right)+4\)
\(y=\frac{5}{3}x-1\)
Therefore, the equation of the line will be:
\(y=\frac{5}{3}x-1\)
please explain how to get the answer to this.
Answer:
65°
Step-by-step explanation:
They are corresponding angles if M and N are parallel
Answer:
m∠b = 65°
Step-by-step explanation:
∠b and the 65° angle are known as corresponding angles meaning they are equivalent. Therefore, m∠b is 65°.
Mark bought 12 boxes of paper clips and 10 packages of index cards for a
total cost of $61.70. Janice bought 15 boxes of paper clips and 7 packages of
index cards for a total cost of $55.40. Find the cost of one box of paper clips
and the cost of one package of index cards.
Answer:
paper clips = $1.85
index cards = $3.95
Step-by-step explanation:
Mark
12 paper clips = x
10 index cards = y
$61.70 total
Janice
15 paper clips = x
7 index cards = y
$55.40 total
12x + 10y = 61.70
15x + 7y = 55.40
*** you want to cancel out one of the letters
(12x + 10y = 61.70) * -7
(15x + 7y = 55.40) * 10
-84x -70y = -431.9
150x + 70y = 554.0
150x + 70y = 554.0
-84x -70y = -431.9
66x + 0 = 122.1
66x = 122.1
x = 122.1 ÷ 66
x = 1.85
plug it back in
15(1.85) + 7y = 55.40
27.75 + 7y = 55.40
7y = 55.40 - 27.75
7y = 27.65
y = 27.65 ÷ 7
y = 3.95