Answer:
Step-by-step explanation:
0.34
Angle A and B are congruent angles.•The measure of angle
A = 8x + 9•The measure of angle
B = 41 + 4xSolve for x.
A.8
B.2.6
C.12.5
D.4
Answer:
x = 8
Step-by-step explanation:
8x + 9 = 41 + 4x
4x = 32
x = 8
Eric bought a new car for $24,000. Each year, the car depreciates 15% in value. To the nearest dollar, how much will the car be worth in 6 years?
Hint: Create an exponential equation in the formy = a (1 – r) and then evaluate the equation at t= 6 years.
6
Type your answer...
7
Previous
Answer:
$9052
Step-by-step explanation:
a= starting car price
(1-r)= exponential decay
r= rate
t= # of years
Equation:
a(1-r)^t
Plug in the numbers.
a= 24000 r=15%=0.15 (1-r)= 1-0.15 = 0.85
a(1-r)^t = 24000(0.85)^6
= 24000(0.37714951562)
= 9051.588375
= 9052
Which statement is correct?
A. Secant is the reciprocal of tangent.
B. Cosine is the reciprocal of cosecant.
C. Cotangent is the reciprocal of secant.
D. Cosecant is the reciprocal of sine.
This is due today! Please answer this:
Answer:
1. - 6.75
2. 15/28
3. - 3.3
Step-by-step explanation:
The first is correct because a positive times a negative is a negative.
The second is incorrect. It should be 15/28 because a negative times a negative is a positive.
The third is incorrect because a positive times a negative is a negative.
The answer should be
1. - 6.75
2. 15/28
3. - 3.3
What is the median of the dot plot for 4,6,6,7,9
Answer:
6
Step-by-step explanation:
6 is in the middle with 2 numbers on each side so it is the medium
Jarred went to the bookstore,
He bought a softcover book which was on sale for 10%
off. He spent $18 on the book, What was the original
price?
Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
Things that are useless:
his name is Jarred (his name could be gary, it doesn't affect us getting the answer)he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)the book is softcover (it could be any type of book, wont affect us getting to the answer)the item is a book (it could be anything that he bought, wont affect us getting to the answer.)Things that are helpful:
the book was on sale (helps us know that the price was reduced)the book was on sale 10% (helps us know how much it was reduced by)he spent $18 for the reduced price (helps us know how much he spent)Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
Trey made 104 for 8 hours of work. At the same rate, how many hours would he have to work to make 221?
Answer:17
Step-by-step explanation:
first off find the rate in which he made in an hour.
so 104/8 which is 13. then divide 221 by 13 and u get 17.
17 hours
which is the correct graph and solution for the following system of equations y=2x+3 y=-x-6
Answer:
last graph
Step-by-step explanation:
1895 x 7895+ 6575-1.753=?
Answer:
Step-by-step explanation:
1895 x 7895 + 6575 - 1.753
14961025 + 6575 - 1.753
14967600 - 1.753
14,967,598.247
The height of a ball dropped from the top of a building 512 feet high is given by h(t) = -16t2 + 512, where t is in seconds and h is in feet. a) When will the ball reach the ground? Approximate your answer to two decimal places. (Hint: The height is O when it hits the ground.)
b) Why can t only be a positive value? Explain in a complete sentence.
A salesman receives a fixed salary of $500 per week. In addition he is paid 12% of all sales over $1000. Write the formula that describes how his weekly salary, s, depends on his weekly revenue, r. (The revenue is the amount of money he collects by selling the goods.)
Answer:
s = 500 + .12(r - 1000)
Step-by-step explanation:
For an upcoming concert, each customer may purchase up to 3 child tickets and 3 adult tickets. Let C be the
number of child tickets purchased by a single customer. The probability distribution of the number of child
tickets purchased by a single customer is given in the table below.
Com
No
с
2
0 1
0.4 0.3
3
0.1
p(c)
0.2
(a) Compute the mean and the standard deviation of C.
(b) Suppose the mean and the standard deviation for the number of adult tickets purchased by a single customer
are 2 and 1.2, respectively. Assume that the numbers of child tickets and adult tickets purchased are
independent random variables. Compute the mean and the standard deviation of the total number of adult
and child tickets purchased by a single customer.
(c) Suppose each child ticket costs $15 and each adult ticket costs $25. Compute the mean and the standard
deviation of the total amount spent per purchase.
(a) The mean of C is 1.0 and the standard deviation is 1.0.
(b) The mean of the total number of adult and child tickets purchased is 3.0, and the standard deviation is approximately 1.56.
(c) The mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.
(a) To compute the mean of C, we multiply each value of C by its corresponding probability and sum them up:
Mean (μ) = (0 * 0.4) + (1 * 0.3) + (2 * 0.2) + (3 * 0.1) = 0 + 0.3 + 0.4 + 0.3 = 1.0
To compute the standard deviation, we first need to calculate the variance. The variance (σ²) is found by summing the squares of the differences between each value of C and the mean, weighted by their corresponding probabilities:
Variance (σ²) = [(0 - 1)² * 0.4] + [(1 - 1)² * 0.3] + [(2 - 1)² * 0.2] + [(3 - 1)² * 0.1] = 0.4 + 0 + 0.2 + 0.4 = 1.0
Finally, we take the square root of the variance to obtain the standard deviation (σ):
Standard Deviation (σ) = √(1.0) = 1.0
(b) Since the numbers of child tickets and adult tickets purchased are independent, the mean of the total number of adult and child tickets purchased is the sum of their individual means:
Mean (μ) = Mean of child tickets (μ c) + Mean of adult tickets (μ a) = 1.0 + 2 = 3.0
The variance of the total number of tickets purchased is the sum of the variances of the child and adult tickets:
Variance (σ²) = Variance of child tickets (σ c²) + Variance of adult tickets (σ a²) = 1.0 + (1.2)² = 2.44
The standard deviation of the total number of tickets purchased is the square root of the variance:
Standard Deviation (σ) = √(2.44) ≈ 1.56
(c) To compute the mean and standard deviation of the total amount spent per purchase, we need to multiply the number of child tickets and adult tickets purchased by their respective prices and sum them up.
Mean (μ) = Mean number of child tickets (μ c) * Price of child ticket + Mean number of adult tickets (μ a) * Price of adult ticket
Mean (μ) = 1.0 * $15 + 2 * $25 = $15 + $50 = $65
Variance (σ²) = Variance of child tickets (σ c²) * (Price of child ticket)² + Variance of adult tickets (σ a²) * (Price of adult ticket)²
Variance (σ²) = 1.0 * ($15)² + (1.2)² * ($25)² = $225 + $900 = $1125
Standard Deviation (σ) = √(1125) ≈ $33.54
Therefore, the mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.
To know more about standard deviation:
https://brainly.com/question/13498201
#SPJ6
Give the limits of integration for evaluating the integral
∭f(r,θ,z)dz r dr dθ
as an iterated integral over the region that is bounded below by the plane z = 0, on the side by the cylinder r=cosθ and on top by the paraboloid z=3r^2.
Answer:
θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3
Step-by-step explanation:
Since the integration is in cylindrical coordinates, θ is integrated from 0 to 2π.
Since r = cosθ
when θ = 0, r = cos0 = 1
when θ = 2π, r = cos2π = -1
Since the region is bounded below by the plane z = 0, and on the top by the paraboloid z = 3r², z is integrated from z = 0 to z = 3r².
So, when r = 1, z = 3r² = 3(1)² = 3
when r = -1, z = 3r² = 3(-1)² = 3
So, the limits of integration of
∭f(r,θ,z)dz r dr dθ are θ = 0 to θ = 2π, r = 1 to r = -1 and z = 0 to z = 3
Tomato juice is sold in a case with 8 cans. Complete the table to show the relationship between the number of cases and the number of cans .
Step-by-step explanation:
1 case- 8 cans
If you have 32 cans and you know that 1 case can have 8 cans you do this:
32:8=4 cases
Then if you have 10 cases in each you get 8 cans so it equals:
10*8=80cans
And last:
You have 96 cans and again you know that one case can contain 8 cans so it is:
96:8=12 cases
When you write that:
1. answer: 8
2.answer:4
3.answer:80
4.answer:12
PLEASE HELP! 50 POINTS PLUS BRAINLIEST TO THE MOST EXPLAINED ANSWER (PLEASE SHOW THE PROCESS)
Chauncey is building a storage bench for his son’s playroom. The storage bench will fit into the corner and against two walls to form a triangle. Chauncey wants to buy a triangular shaped cover for the bench.
Formula for Area of Triangle:
A = ½ x b x h
(the photo is below)
If the base of the storage bench is 2 ½ ft. and the height along one side of the wall is 4 ½ ft. What is the area of the triangular cover?
Answer:
2.5 times 4.5 times .5 = 5.625 ft squared
Step-by-step explanation:
Lets look at our Formula
.5 times base of triangle (b) times height of triangle (h)
Based on the photo, the height is 4.5 feet and the base is 2.5 feet.
4.5 times 2.5 times .5 (the 1/2 in the formula) = 5.625 ft squared.
Remember that it is 1/2 times the base and height, b/c triangle is half of square. Ft squared because ft times ft equals ft squared
If the distributions of ratings are the same for those Snoqualmie members living less than 25 miles from the
waterfall and those living more than 25 miles from the waterfall, which of the following is equal to the expected
count of members living less than 25 miles from the waterfall who rated the cultural importance as high?
Answer:E
Step-by-step explanation:
( row total * column total ) / ( Table total)
163,48,268,353,353,48,107,299,268,112,173,489
concrete representation of point
Answer:
Points in Euclidean geometry
In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.
Step-by-step explanation:
f(x)=-x^2+x-5
What are the coordinates of the vertex of the parabola of the function ?
Answer: I took a screen shot of it hope it helps
Step-by-step explanation:
(7x-10) (7x+5) (5x+55)
Answer:
245x^2+2520x^2−2175x−2750
Step-by-step explanation:
=((7x−10)(7x+5))(5x+55)
=((7x−10)(7x+5))(5x)+((7x−10)(7x+5))(55)
=245x^3−175x^2−250x+2695x^2−1925x−2750
=245x^2+2520x^2−2175x−2750
Hope it helps :)
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
D
As
126
B
-С
Angles are not drawn to scale.
Enter
x=54°
Answer:
x+126=180 supplementary
x=180-126
x=54
A grocery store bought milk for $2.60 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 15 half gallons. If the remaining milk is sold for $4.08 per half gallon, how many half gallons did the store buy if they made a profit of $69.04?
Answer:
88 half gallons
Step-by-step explanation:
We can solve this problem by creating an equation. First we will need a variable. Since we are trying to find how many half gallons the store bought, that will be what our variable represents.
Let g = the number of half gallons
Since the store bought milk for $2.60 per half gallon, the amount of money they spent will be 2.6g.
The remaining milk is sold for $4.08 per half gallon. Remember, the store lost 15 half gallons so the number of gallons is currently g-15. This means that to find the amount of profit they made, we use 4.08(g-15).
We already know that the profit is $69.04, so we can make this into an equation.
This profit is the amount of money made minus the cost.
4.08(g-15) - 2.6g = 69.04
We can begin to solve this by simplifying the left side.
4.08(g-15) - 2.6g
4.08g - 61.2 - 2.6g
1.48g - 61.2
This makes our new equation:
1.48g - 61.2 = 69.04
We can begin to isolate our variable, g, by adding 61.2 to both sides.
1.48g = 130.24
Then we divide both sides by 1.48.
g = 88
HELP AYUDA ✋
.
what is the constant of proportionality for the graph shown below?
.
/pls pls pls
Answer:
10
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
points on line: (0,0), (1,2), (2,4), (3,5) etc
rise by two, run by one means a slope (or constant of proportionality) of 2
The perimeter of a rectangular garden is 44 meters. The length of the rectangle is 5 less than twice the width. Find the length and width of the rectangle.
please helppp
9514 1404 393
Answer:
width: 9 mlength: 13 mStep-by-step explanation:
Let w represent the width. Then the length is 2w-5, and the perimeter is ...
P = 2(L+W)
44 = 2((2w-5) +w)
44 = 6w -10
54 = 6w
9 = w
2(9) -5 = 13 = length
The length of the rectangle is 13 meters; the width is 9 meters.
13
A company studied the number of lost time acedents occurring at its Brownsville, Texas, plant. Historical records show that 0% of the employees suffered lost
time accidents last yean Management believes that a special safety program will reduce such accidents to 6% during the current year. In addition, it estimates
that 10% of employees who had lost time accidents last year will experience a lost time accident during the current yean
a. What percentage of the employees will experience lost-time accidents in both years (to 2 decimale)
0.015
b. What percentage of the employees will suffer at least one lost time accident over the two year period (to 2 decimals)?
10 Feedback
Incorrect
Hint) Check My Work
outon kry
Answer:
A) 0.01
B) 0.07
Step-by-step explanation:
We are given;
P(accidents last year) = 0% = 0
P(accidents this year) = 6% = 0.06
P(accidents last year | accidents this year) = 10% = 0.1
A) We want to find the percentage of the employees will experience lost-time accidents in both years.
From multiplication rule in probability, we know that;
P(A & B) = P(A) × P(B|A) = P(B) × P(A|B)
Thus;
P(accident in both years) = P(accidents this year) × P(accidents last year | accidents this year)
P(accident in both years) = 0.06 × 0.1
P(accident in both years) = 0.006
To 2 decimal places gives; 0.01
B) from the addition rule, we know that;
P(A or B) = P(A) + P(B) - P(A & B)
Thus;
P(accident last year or this year) = P(accidents last year) + P(accidents this year) - P(accident in both years)
P(accident last year or this year) = 0 + 0.06 + 0.006 = 0.066
To 2 decimal places = 0.07
Mary was looking at a map with the following scale indicator:
inch 5 miles
Mary measured 2 inches between two towns on the map. What is the distance between the two townsply
Solve for x.
x = [?]
2x + 9
8x + 1
Answer:
X=17
Step-by-step explanation:
(2x+9)+(8x+1)=180
10x+10=180
10x=170
X=17
Find the value of D. A 75 B 56 C 47 D 30
Step-by-step explanation:
75
Option B is correct. The measurement of the angle m in the circle given is 56degrees
Geometry deals with the measurement of properties of lines, solids, and angles.
The diagram given in the question is a circle. To get the value of d, we will use one of the circle theorems which states;
The angle at the vertex is equal to half the sum in its intercepted arcs as shown:[tex]75=\frac{1}{2} (m\angle d - 94)[/tex]
Cross multiply
[tex]75 \times 2 = m \angle d - 94\\150=m \angle d +94\\m \angle d = 150 - 94\\m \angle = 56^0[/tex]
Hence the measurement of the angle m is 56degrees
Learn more on circle geometry here: https://brainly.com/question/14064573
2
.
5
6
120
a. What the relationship between BEC and Z BAC?
b. What the measure of ZBEC ?
c. What the measure of BDC ?
The value of (3/4) ^6
Answer:
729/4096
Step-by-step explanation:
3^6/4^6 = 729/4096