Answer:
see attached
Step-by-step explanation:
The x-values in each table are sequential. This means the y-values will have a common difference if the table represents a linear function.
A: common difference of -11 -(-19) = 8
B: differences of 3, 1.5, 1.5 -- no common difference (nonlinear)
C: common difference of 12 -15 = -3
pls help i will mark brainlyest
Answer:
∠b=82°
Step-by-step explanation:
143°=∠c+∠b (exterior angle property)
143°=61°+∠b
∠b=143-61
∠b=82°
NEED ANSWERS ASAP PLEASE
Answer:
72
Step-by-step explanation:
u can see its a right triangle u can see its kinda like 3-4-5 right triangle
75/5 = 15
21/3 = 7
ok so it doesn't work
now
75^2 - 21^2 = 5184
square root of 5184 = 72
22÷1/5 (urgent) I need this
Answer:
110
Step-by-step explanation:
easy matth to me
tip:22÷1/5 is 22x5
Answer:
i think its 110
Step-by-step explanation:
i just used a calculator
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
For more such questions on height, click on:
https://brainly.com/question/28122539
#SPJ8
Item 9 You put $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate? The annual interest rate is %.
Answer:
0.06 or 6%
Step-by-step explanation:
I=Prt, so r= 1/(Pt)
T= 9 months/12 months=0.75
R=$18/($400*0.75)=0.06 or 6%
Note the * is times
Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
4
4 - 6x
A. 8+226x
16 - 6x
B. 8+ 2162
846
C.
2 + V6
4- 6x
D. 8. 216
8 - 3x
UN
1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4
Answer:
8+2√6x / 8-3x
Step-by-step explanation:
yes
The teachers are setting up a socially distanced summer retreat to discuss the 2021-
2022 school year. In order to rent the facilities there is a $1295 cost and then each
person will need to pay for own site for camping which is $45 for the weekend.
Mr. Jones would agree to organize the trip if he would have his costs paid for. How
many people would need to attend in order for the cost to be less than $60 per person? Please include a table, graph, and rule.
NO LINKS or anything like that, help ASAP.
9514 1404 393
Answer:
91, including Mr. Jones
Step-by-step explanation:
The total cost for n people to go on the trip will be ...
C(n) = 45n +1295
If Mr. Jones does not pay anything, this cost is divided among the remaining (n-1) persons, so the cost per person is ...
\(c(n)=\dfrac{C(n)}{n-1}\\\\c(n)=\dfrac{45(n-1)+45+1295}{n-1}=45+\dfrac{1340}{n-1}\)
We want to find n such that c(n) < 60.
\(45+\dfrac{1340}{n-1}<60\\\\\dfrac{1340}{n-1}<15\qquad\text{subtract 45}\\\\\dfrac{1340}{15}<n-1\qquad\text{multiply by $\dfrac{n-1}{15}$}\\\\90\dfrac{1}{3}<n\qquad\text{add 1}\)
A total of 91 people would need to attend in order for the cost per person to be less than $60.
What is the solution for the equation x2+4=3x+8
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+4=3x+8
Step 1: Subtract 3x+8 from both sides.
x2+4−(3x+8)=3x+8−(3x+8)
x2−3x−4=0
Step 2: Factor left side of equation.
(x+1)(x−4)=0
Step 3: Set factors equal to 0.
x+1=0 or x−4=0
x=−1 or x=4
Answer:
x=−1 or x=4
EspanolAvicenna, a major insurance company, offers five-year life insurance policies to 65-year-olds. If the holder of one of these policiesdies before the age of 70, the company must pay out $27,400 to the beneficiary of the policy. Executives at Avicenna areconsidering offering these policies for $765 each. Suppose that for each holder of a policy there is a 3% chance that they will diebefore the age of 70 and a 97% chance they will live to the age of 70.00If the executives at Avicenna know that they will sell many of these policies, should they expectto make or lose money from offering them? How much?To answer, take into account the price of the policy and the expected value of the amount paldout to the beneficiary.Avicenna can expect to make money from offering these policies.In the long run, they should expect to make dollars on each policy sold.Avicenna can expect to lose money from offering these policies,
Answer:
Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose 57 dollars on each policy sold.
Explanation:
If a person lives to the age of 70, they will earn $765. So, there is a 97% chance to earn $765. On the other hand, if a person dies before age of 70, they will lose $26635 because
$27,400 - $765 = 26,635
Then, there is a 3% chance to lose $26635.
Now, we can find the expected value, multiplyion each option by its probability, so:
E = $765(0.97) - (26635)(0.03)
E = $742.05 - $799.05
E = - $57
Since the sign is negative they can expect to lose money, so the answer is:
Avicenna can expect to lose money from offering these policies. In the long run, they should expect to lose 57 dollars on each policy sold.
A carnival attraction tests your strength by how far in the air you can drive a weight with a hammer. If the weight reaches 15 feet, you win a prize. The equation h = -16t 2+ 31t + 2 gives the height, in feet, and time, in seconds of the weight after it is hit.
a. How long is the weight in the air?
b. What was the weight’s maximum height?
c. Did you win a prize? Why or why not?
Answer:
a. 2 secondsb. ~17 feetc. yesStep-by-step explanation:
Given function:
h(t) = -16t² + 31t + 2a.h(t) = 0 will give us the y-intercept of the graph. The greater value of t is the time the weight in the air
-16t² + 31t + 2 = 016t² - 31t - 2 = 0t = [31 + √(31²+4*16*2)]/32t = (31 + 33)/32t = 2 secondsb.Maximum height is reached at vertex.
The x coordinate of the vertex is determined as x = -b/(2a), considering the standard form of a quadratic function f(x) = ax² + bx + c
t = -31/(-16*2) = 31/32 = 0.96875h(0.96875) = -16(0.96875)² + 31*0.96875 + 2 = 17.015625 ftc.You win the prize as the maximum height is greater than 15 feet
What is greater 1.0275 or 1.029
Answer:
1.029 is greater than 1.0275
Step-by-step explanation:
Answer:
1.029
Step-by-step explanation:
What is greater 1.0275 or 1.029
.027 < .029
So, 1.029 is greater.
Sally is given $850. Every year, she decides to donate 9% of this money to charity until she has none left.
After 34 years, approximately how much money will Sally have left?
Answer:
Step-by-step explanation:
Year 1: $850 * 0.91 = $773.50
Year 2: $773.50 * 0.91 = $704.69
Year 3: $704.69 * 0.91 = $641.95
...
Year 34: (continue the pattern)
We can continue this calculation for each year, but to save time, we can use an exponential decay formula:
Remaining Amount = Initial Amount * (1 - rate)^years
Substituting the values:
Remaining Amount = $850 * (1 - 0.09)^34
Calculating this expression:
Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88
After 34 years, approximately $255.88 will be left with Sally.
Fill in the blank so that the ordered pair is a solution of the question y=15-3x; (__,6)
Answer:
3
Step-by-step explanation:
Plug in 6 for the y value. Solve for x.
Answer:
x=3 (3,6)
Step-by-step explanation:
Y = 15 - 3x
Y = 6
6= 15-3x
-15 from each side
-9 = -3x
devide each side
ny -3
x=3
(check)
15-3(3) = 6
what does x=?........................
Answer:
x = -25 / 3
Step-by-step explanation:
10 / 3 = x / (-5/2)
10 / 3 * (-5 / 2) = x
x = -50 / 6
x = -25 / 3
Answer:
\(x=\frac{-25}{3}\)
Step-by-step explanation:
\(\frac{10}{3}=\frac{x}{\frac{-5}{2} } \\\\\frac{-5}{2}*\frac{10}{3}=\frac{x}{\frac{-5}{2} }*\frac{-5}{2} \\\\\frac{-25}{3} =x\\\\x=\frac{-25}{3}\)
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
For more such information on: expression
https://brainly.com/question/28602085
#SPJ8
Javier bought a painting for
$
150
$150dollar sign, 150. Each year, the painting's value increases by a factor of
1.15
1.151, point, 15.
Which expression gives the painting's value after
7
77 years?
Choose 1 answer:
Choose 1 answer:
(Choice A)
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
A
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
(Choice B)
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
B
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
(Choice C)
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
C
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
(Choice D)
150
+
1.15
⋅
7
150+1.15⋅7150, plus, 1, point, 15, dot, 7
D
150
+
1.15
⋅
7
150+1.15⋅7
The correct expression is \($(150 \cdot 1.15)^7$\) (Choice A).
The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).
To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.
If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.
Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.
For such more questions on expression
https://brainly.com/question/1859113
#SPJ8
a*10power4+a*10power2=24240 solve it pls
Answer: 12/5 which simplifies to 2 2/5.
Step-by-step explanation: Check attachment.
A marching band performs on the football field at half-time. As they perform, the members of the band stand in
the shape of a sinusoidal function. While playing, they move, but still maintain the sinusoidal function,
transforming it in different ways.
Darla is a member of the marching band. As the band begins to play she is positioned in the exact center of the
field. The person closest to her on the same horizontal line, stands 10 yards away. The sinusoidal function
extends to the ends of the playing field.
The playing area of football field measure 300 feet by 160 feet. Place the playing area of a football field on the
coordinate plane such that the origin is the lower left comer of the football field.
(Score for Question 1: of 2 points)
1. What is the period and the amplitude of the sine function representing the position of the band members as
they begin to play?
Answer.
The period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately \(170.3 feet.\)
What is the coordinate plane?Since the band members are standing in the shape of a sinusoidal function, we can assume that their positions can be represented by the equation:
\(y = A sin(Bx)\)
where y is the vertical position of a band member, x is the horizontal position on the field, A is the amplitude, and B is the period.
Since Darla is positioned in the exact center of the field, and the person closest to her on the same horizontal line stands 10 yards away, we can assume that the sinusoidal function has a phase shift of 0. This means that the midline of the function passes through the point (0, 0).
To find the amplitude, we need to determine the maximum and minimum heights of the function.
Since the playing area of the football field measures 300 feet by 160 feet, the distance between the two farthest points on the field is the diagonal distance, which can be calculated using the Pythagorean theorem:
\(sqrt(300^2 + 160^2) \approx 340.6 feet\)
Since the distance between the farthest points on the field is equal to the distance between two peaks or two valleys of the sinusoidal function, the amplitude is half of this distance:
\(A = 340.6/2 \approx170.3 feet\)
To find the period, we can use the fact that the distance between two consecutive peaks or valleys is equal to the period of the function.
Since the person closest to Darla stands 10 yards away, or 30 feet away, we can assume that this person is standing at a peak or a valley of the function. This means that the period is twice the distance between Darla and the person closest to her:
\(P = 2(30) = 60 feet\)
Therefore, the period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately \(170.3 feet.\)
Learn more about coordinate here:
https://brainly.com/question/16634867
#SPJ9
10. Find the surface area of the triangular prism. The
base of the prism is an isosceles triangle.
48 cm
25 cm
24 cm
14 cm
Answer:
C
Step-by-step explanation:
The surface area can be found through the formula
SA=2A+(a+b+c)h
in this case, A is the area of the base, a and b are the legs, c is the base of the triangle, and h is the height. By substituting the values 25 and 25 for the legs and 14 for the base and 48 for the height, you will get 3408 sq cm.
can somebody help? :(
Answer:
What is the question??????????
the accompanying data set contains two variables, x1 and x2. pictureclick here for the excel data file a. how many observations have x2 values equal to 2?
The variables 8 observations have x2 values of 2 or greater.
Two variables, x1 and x2, are present in the supplementary data set. There are a total of 20 observations in this data set. The x2 values for 8 of these 20 observations are equal to 2. Thus, x2 values of two were present in eight out of twenty observations, or 40%. The following 12 observations' x2 values do not add up to 2. Thus, 8 of the 20 observations in the data set have x2 values of 2 or higher.8 of these 20 observations have x2 values that are equal to 2. Thus, eight out of twenty observations, or 40 percent, had x2 values equal to two. The x2 values for the next 12 observations are not equal to 2. Consequently, 8 of the data set's 20 observations have x2 values of 2 or above.
Learn more about variable here
brainly.com/question/29583350
#SPJ4
Write the equation in point-slope form that goes through the point (10,5) and has
slope of - 3
Find the equation of the function in the graph.
A. y=x
B. y= |x|
C. y= x3
D. y= x2
Answer:
C
Step-by-step explanation:
YEAH
PLEASEEEEEE HELP ME !!!!
Answer:
A and b
Step-by-step explanation:
Be has an arrow towards the end signaling it moving outward just like GH
In a lab experiment, 3400 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How long would it be, to the nearest tenth of an hour, until there are 13700 bacteria present?
Answer: 16.1
Step-by-step explanation:
O $132.50
7) Kiron is buying $84 worth of groceries at the store. The sales tax rate is 8.75%. What is the total
cost of his groceries in dollars and cents?
The total cost of his groceries in dollars and cents is 91.35 on 8.75% sales tax.
A sales tax is a fee that is paid to the government when specified goods and services are sold. Typically, laws permit the vendor to charge the customer the tax at the time of purchase. Use taxes are typically used to describe taxes on goods and services that consumers pay directly to a governing authority.
Sales tax is an indirect fee that is always applied at the point of exchange or purchase and is calculated as a percentage of the item's worth. Retail, manufacturing, wholesale, use, and value-added taxes are the various types of sales taxes (VAT). Note: As of July 1, 2017, the Goods and Services Tax (GST) has taken the place of the Sales Tax.
Sales tax = 8.75%
⇒ 8.75/100 × 84
⇒ 7.35
Total price = 7.35 + 84
⇒ $ 91.35
To learn more about Sales tax from given link
https://brainly.com/question/30163375
#SPJ1
Put in simplest radical form: -√3 + 4√3
Answer:
3√3
Step-by-step explanation:
You want the simplest radical form of -√3 + 4√3.
Like termsWe can consider these "like terms" in the sense that each is an integer multiple of √3. As such, they can be combined by combining coefficients.
-√3 + 4√3 = (-1 +4)√3 = 3√3
Which graph represents the function g(z)=√2-1+1?
In response to the given question, we can state that Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.
what is function?Mathematicians examine numbers and complex variations, equations and associated structures, forms and their locations, and prospective positions for these things. The term "functioning" signifies the connection between a collection of inputs, each of which has a corresponding output. A function is a connection of inputs and results in which each input leads to a single, identifiable outcome. Each function is assigned a domain, a codomain, or a scope. The letter f is widely used this to denote functions (x). The symbol for admission is an x. The four primary types of usable functions are on operations, one-to-one capabilities, so multiple functionality, in capabilities, and then on functions.
Because it is independent of z, the function g(z) is a constant function. In particular, g(z) equals 2 - 1 + 1 = 2.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your debts. a. How many months will it take to pay off the credit card if you only put half of the available money toward the credit card each month and make the payments at the beginning of the month? b. How many months will it take to pay off the credit card if you put all of the available money toward the credit card each month and make the payments at the beginning of the month? Be sure to include in your response: • the answer to the original question • the mathematical steps for solving the problem demonstrating mathematical reasoning
a. It will take 7 months to pay off the credit card.
b. it will take 4 months to pay off the credit card.
Since, APR stands for Annual Percentage Rate. It is the interest rate charged on a loan or credit card, expressed as a yearly percentage rate. The APR takes into account not only the interest rate, but also any fees or charges associated with the loan or credit card.
a. If you put half of the available money each month toward the credit card, then you are paying $150.00 per month towards the credit card balance.
We can use the formula for the present value of an annuity to find how many months it will take to pay off the credit card:
PV = PMT × ((1 - (1 + r)⁻ⁿ) / r)
where:
PV is the present value of the debt
PMT is the payment amount per period
r is the monthly interest rate
n is the number of periods
Substituting the values, we get:
754.43 = 150 × ((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV ×r / PMT)) / log(1 + r)
n = log(1 + (754.43×0.011333 / 150)) / log(1 + 0.011333)
n = 6.18
Therefore, it will take 7 months to pay off the credit card if you put half of the available money each month toward the credit card.
b. If you put all of the available money each month toward the credit card, then you are paying $300.00 per month towards the credit card balance.
754.43 = 300 ×((1 - (1 + 0.011333)⁻ⁿ) / 0.011333)
Simplifying and solving for n, we get:
n = log(1 + (PV × r / PMT)) / log(1 + r)
n = log(1 + (754.43× 0.011333 / 300)) / log(1 + 0.011333)
n = 3.43
Therefore, it will take 4 months to pay off the credit card if you put all of the available money each month toward the credit card.
Learn more about APR, visit:
brainly.com/question/13597527
#SPJ1
Linear, exponential or neither?
ao = 2; an = an-1 + 4
A Linear
B Exponential
C Neither
Answer:
Linear
Step-by-step explanation:
The previous term plus 4.
1, 5, 9, 13 plotting these points would make a straight line!