Answer:
given, verticals angle thm, definition of supplementary, {you need to see the pic for it}, substitution, and you need to see the pic for the rest so i can’t help
can you go answer my question tho
Step-by-step explanation:
a car rents for $ per week plus $ per mile. find the rental cost for a two-week trip of 500 miles for a group of three people.
The equation for a two-week trip of 500 miles' rental cost is Total rent cost = 2x + 500y
Information about the problem:
Car rent per week = xCar rent per mile = yweeks = 2Miles = 500 milesTo solve this problem, we have to state the equation using the information of the problem:
Car rent for 2 weeks = 2x
Car rent for 500 miles = 500y
Total rent cost = 2x + 500y
Example:
Car rent per week = $280/ week
Car rent per miles = $0.75/ mile
Total rent cost = (2 weeks * $280/ week) + (500 miles * $0.75/ mile)
Total rent cost = $560 + $375
Total rent cost = $935
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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how did the temperature change if at first it changed by 5 percent then it changed by 20
CAN SOMEONE HELP ILL GIVE 70 POINTS PLSSSSSSS
Answer:
26% increase
Step-by-step explanation:
Initial temperature= t
5% increase= t+ 5%= 1.05t
20% increase= 1.05t +20%= 1.05t*1.2= 1.26t
1.26 t= t + 26%
So temperature increased by 26%
There are only blue sweets, green sweets and red sweets in a box.the ratio of the number of blue sweets to the number of green sweets is 2: 7the ratio of the number of green sweets to the number of red sweets is 3 : 1there are less than 140 sweets in the box.what is the greatest possible number of red sweets in the box? your final answer must include the words, 'red sweets'.
Answer:
According to question if we observe, number of red sweets are the least
It 's only 1%
Step-by-step explanation:
Solve X
5x + 15 = 35
Answer:
x = 4
Step-by-step explanation:
5x + 15 = 35
subtract 15 from each side of the equation:
5x = 20
divide both sides by 5:
x = 4
4. Find the product. (4.0 × 10^-2) × (5.2 × 10^8) (1 point)
20.8 x 10^8
2.08 x 10^7
2.08 x 10^6
20.8 x 10^7
Answer:
2.08 × \(10^{7}\)
Step-by-step explanation:
Multiply 4 × 5.4 to get 20.8. Then multiply \(10^{-2}\) × \(10^{8}\) = \(10^{6}\)
However, that is not an answer. So, you can divide 20.8 by 10 and multiply \(10^{6}\) × 10.
Then you get 2.08 × \(10^{7}\)
Find a polynomial function f(x) of least possible degree having the graph shown
first off let's notice a few things on that function.
the graph "passes" -5, that's a root, the graph "touches" 3 and goes back up, that's another root, but that's a root with an "even multiplicity", the heck does that mean? well, it means there are at least two roots, could be 4 or 6 or 18, so long is even, but we're shooting for the least degree, so we'll settle for 2.
now hmm, let's reword that
what's the equation of a function with roots at -5 and 3 twice, that it passes through (0 , 9)?
\(\begin{cases} x = -5 &\implies x +5=0\\ x = 3 &\implies x -3=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +5 )( x -3 )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that } \begin{cases} x=0\\ y=9 \end{cases} \\\\\\ a ( 0 +5 )( 0 -3 )( 0 -3 ) = 9\implies 45a=9\implies a=\cfrac{9}{45}\implies a=\cfrac{1}{5} \\\\[-0.35em] ~\dotfill\)
\(\cfrac{1}{5}(x+5)(x-3)^2=y\implies \cfrac{1}{5}(x+5)(x^2-6x+9)=y \\\\\\ \cfrac{1}{5}(x^3-x^2-21x+45)=y\implies {\Large \begin{array}{llll} \cfrac{x^3}{5}-\cfrac{x^2}{5}-\cfrac{21x}{5}+9=y \end{array}}\)
Check the picture below.
Please help need done fast!
Alvin and his friends set out to sea on their annual fishing trip. There is a proportional relationship between the time (in hours) Alvin and his friends spend sailing, x, and their distance from shore (in miles), y.
After sailing for 2 hours, Alvin and his friends are 10 miles from shore. Write the equation for the relationship between x and y.
y =
Now, use your equation to find their distance from shore after sailing for 3 hours.
Answer:From the given information, we know that after sailing for 2 hours, Alvin and his friends are 10 miles from shore. This can be written as y = 10 when x = 2.
Since there is a proportional relationship between x and y, we can write an equation using this information: y = kx, where k is the proportionality constant.
Substituting the known values, we get: 10 = k * 2
Solving for k, we get: k = 10/2 = 5
So, the equation relating x and y is: y = 5x
To find their distance from shore after sailing for 3 hours, we can plug in x = 3 into the equation:
y = 5x
y = 5 * 3
y = 15
So, after sailing for 3 hours, Alvin and his friends are 15 miles from shore.
Step-by-step explanation:
suppose you put 3 spoonful of honey in your cereal four small spoons holds 5ml. about how many mililitres of honey will you eat?
GIVE 20 POINTS AND MARK BRAINLIEST
Answer:
3.75ml of honey
Step-by-step explanation:
5/4 = 1.25ml per spoonful
1.25*3=3.75ml
3.75ml of honey
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
Given
5/4 = 1.25ml per spoonful
1.25*3=3.75ml
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1. Line A's equation is y = -1/3x - 5. Line B is perpendicular to Line A and and goes
through the point (2, 3). Write the equation for Line B in slope-intercept form.
2. Line A's equation is y = 2/5x - 5. Line B is perpendicular to Line A and and goes
through the point (10.3). Write the equation for Line B in slope-intercept form.
Answer:
y = -1/3x - 11/3
Step-by-step explanation:
line a: y = -1/3x - 5
3 = -1/3(2) - b
3 = -2/3 - b
3 + 2/3 = b
3/1 + 2/3 = b
9/3 + 2/3 = b
11/3 = b
What shape is this cross-section?
A. Rectangle
OB. Trapezoid
C pyramid
D triangle
Answer: Rectangle
Step-by-step explanation:
Two trains left a station at the same time traveling in opposite directions. The northbound train traveled at an average rate of 50 miles per hour (mph). The southbound train traveled at an average rate of 40 mph. After how many hours will the trains be 225 miles apart?
A. 2/5
B. 2 1/2
C. 4 1/2
D. 5 5/8
After 2.5 hours, the trains will be 225 miles apart. To find the time it takes for the two trains to be 225 miles apart, we can use the concept of relative velocity. The trains are moving in opposite directions, so their speeds add up.
The combined speed of the two trains is 50 mph + 40 mph = 90 mph.
To calculate the time it takes for them to be 225 miles apart, we divide the distance by the relative speed:
Time = Distance / Speed
Time = 225 miles / 90 mph
Time = 2.5 hours.
Therefore, after 2.5 hours, the trains will be 225 miles apart.
The answer is option B: 2 1/2.
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Ms. Morgan bought 3.5 pounds of bananas at $0.51 a pound and 4.5 pounds of pineapple at $1.19 a pound. How much did she pay for the bananas and pineapple?
Answer:
1.76 for bananas 5.36 for pineapples
Step-by-step explanation:
Answer:
$7.14
Step-by-step explanation
Does this shape belong in a group of shapes that have more than one
perpendicular sides?
Use the drop-down menus to explain your answer.
Yes, this shape belong in a group of shapes that have more than one perpendicular sides because its sides meet at a right angle.
What are perpendicular lines?In Mathematics and Geometry, perpendicular lines can be defined as two (2) lines that intersect or meet each other at an angle of 90° (right angles) as shown in the image (see attachment) attached below.
However, it should be noted that it is not all intersecting lines that are perpendicular to each other because the lines may intersect at different angles other than 90 degrees (90°).
By critically observing the geometric shape, we can reasonably infer and logically deduce that it has more than one perpendicular sides.
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a numerical description of the outcome of an experiment is called ______
Answer: A random variable.
Step-by-step explanation:
a numerical description of the outcome of an experiment is called a random variable.
A number is selected at random from {1, 2, 3} three times probability that 1 is selected at least once?
The probability that one is selected is the likelihood
The probability that one is selected at least once is 0.704
How to calculate the probability?The sample space is given as:
S = {1,2,3}
The probability that 1 is not selected at all is:
P'(None) = 2/3
The probability that one is selected at least once is calculated using the following complement rule
P(At least once) = 1 - P(None)^3
This gives
P(At least once) = 1 -(2/3)^3
Evaluate
P(At least once) = 0.704
Hence, the probability that one is selected at least once is 0.704
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The algebraic expression that represents twice the sum of some number and 3 is?
n + 2(3)
2(n + 3)
2 + n + 3
2n + 3
Answer:
2(n+3)
Step-by-step explanation:
The sum to 3 = n+3
That sum doubled (~twice) = 2(n+3)
Answer:
2(n+3)
Step-by-step explanation:
Let's look at the statement:
'twice the sum of some number and 3'
Twice means 2 multiplied by something.
What is that something? It is the sum of some number and 3.
Let's replace the some number with variable n.
So it becomes the sum of n and 3, which translates to n+3.
So you put the two parts together:
2 multiplied by (n+3), rewritten as 2(n+3).
Make a conjecture about the diagram below. Is AC greater than, less than, or equal to BC? Explain your reasoning.
Triangle A C B is sitting on horizontal line X Y. Points A and B of the triangle are on the line. Angle C B Y is 90 degrees.
Answer:
AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.
The hypotenuse is the longest side of the triangle. Side AC of the triangle is its hypotenuse, thus greater than BC (segment and angle theorem of a triangle).
A triangle is a shape with three side and angles. Its longest side is referred to as hypotenuse. And this side is usually opposite to the greatest angle. Examples of triangle include: equilateral, isosceles, acute, right angles, obtuse angle etc.
The given question shows that triangle ACB is a right angled triangle. This is because <CBY = \(90^{o}\).
So that;
<CBY + <CBA = \(180^{o}\)
Now comparing side AC with BC:
The segment and angle theorem of a triangle states that: the longest side of a triangle is always opposite to the greatest angle.
Thus, since <CBA is the greatest of the angles here, then AC is the longest side.
Therefore, the side AC is the hypotenuse of the triangle and it is greater than BC.
A sketch to this question is attached to this answer for more clarifications.
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The number of miles driven by Tanisha varies directly with the number of gallons she
used.
Number of Gallons Used Number of Miles Driven
172.8
288
748.8
6
10
26
How many miles would she drive on 22 gallons?
Answer: Tañísh’ Ec poco la vans two 3 mph
Step-by-step explanation:
course 3 chapter 5 triangles and the pythagorean theorem answer key
In the given right triangle, the perimeter is 12 in.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the length of the two legs (a and b). Hence,
c^2 = a^2 + b^2
In the given triangle,
c = x in
a = 3 in
b = 4 in
Hence,
x^2 = 3^2 + 4^2
x^2 = 9 + 16
x^2 = 25
x = √25
x = 5
The perimeter of a geometric shape is the sum of all its side. Hence,
Perimeter = 3 + 4 + 5 = 12 in
Note: The question is incomplete. The complete question probability is: Using the Pythagorean theorem, find the perimeter of the triangle.
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Lexi bought a new car. She drove 5⁴ miles in the first month that she owned the car and 4⁵ miles in the second month that she owned the car. How many miles did Lexi drive in all during the first two months that she owned the car?
Answer:
Your answer is 1649 miles.
Step-by-step explanation:
\(5^{4} + 4^{5} = 1649\)
-4x + 3y - x - 2y + y
Answer: -5x+2y
Step-by-step explanation: Have a brilliant day! - Lily ^_^
For questions 1 - 8, find f-'(x), the inverse of f(x). 1. f(x)= x + 12 2. f(x)= -2 3. f(x)=2x +12 4. f(x)= 3x -4 5. f(x)= 2x + 3 6 6. f(x)=
Answer:
1) inverse: x - 12
2) inverse: 3x + 6
3) inverse: x/2 - 6
4) inverse: x/3 + 4/3
5) inverse: 3x - 3/2
6) inverse: -3x/2 + 15/2
7) inverse: x/5 - 3
8) inverse: 2x/5 + 1/5
you roll a six-sided die. find the probability of the event described. explain your reasoning: you roll a number less than three
x+y=16
y=3x=4
find the solution using substitution
Answer: x=3 ; y=13
Step-by-step explanation:
1. isolate y from equation to substitute into the second equation
y= 16-x ---> (16-x) = 3x+4
2. move to one side and solve for x
4x=12 --> x=3
3. plug in x value to solve for y
3+y=16 or 3(3)+4
y=13
Select the correct statement which describes the multiplicative relationship between two equivalent ratios.
A The ratios
5
16
and
32
10
are equivalent. Each term in
32
10
is two times the corresponding term in
5
16
.
B The ratios
16
5
and
10
32
are equivalent. Each term in
10
32
is four times the corresponding term in
16
5
.
C The ratios
16
5
and
32
10
are equivalent. Each term in
32
10
is two times the corresponding term in
16
5
.
D The ratios
16
5
and
32
15
are equivalent. Each term in
32
15
is four times the corresponding term in
16
5
.
Answer:
A
Step-by-step explanation:
Find the area of the region described. T The region in the first quadrant is bounded by y=9 and y = 9 sin x on the interval 0,- 2 The area of the region is
To find the area of the region bounded by y=9 and y=9sin(x) on the interval [0, π/2], integrate the difference between the two functions with respect to x, using the power reducing identity. The area is 9π/2 - 9.
To find the area of the region in the first quadrant bounded by y=9 and y=9sin(x) on the interval [0, π/2], you need to integrate the difference between the two functions with respect to x. This gives us the following integral:∫[0, π/2] 9 - 9sin(x) dx
To evaluate the integral, you will need to use the power reducing identity for sine: sin²(x) + cos²(x) = 1
=> cos²(x) = 1 - sin²(x)
=> cos(x) = √(1 - sin²(x))
Then, substitute √(1 - sin²(x)) for cos(x) in the integral and use u-substitution to simplify.
Let u = sin(x), then du/dx = cos(x) dx.
Therefore, the integral becomes:
∫[0, π/2] 9 - 9sin(x) dx
= 9x - 9∫[0, π/2] sin(x) dx
= 9x + 9cos(x) [from 0 to π/2]
= 9(π/2) + 9cos(π/2) - 9(0) - 9cos(0)
= 9π/2 + 0 - 0 - 9
= 9π/2 - 9
The area of the region is 9π/2 - 9.
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The union of two sets is a set that contains only the elements that appear in both sets
a. True
b. False
The union of two sets is to avoid counting the same elements twice.
What is set?
The mathematical logic subfield of set theory investigates sets, which can be loosely defined as collections of objects. Although any object can be combined into a set, set theory, as a mathematical discipline, focuses primarily on those that are relevant to mathematics as a whole.
Given union of set
(A ∪ B),
The set of all objects that are members of either A or B, or both, is the union of the sets A ∪ B.
let us take example,
A = { 1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
(A ∪ B) = { 1, 2, 3, 4} ∪ {3, 4, 5, 6, 7}
we can simply write all of A and B's elements in a single set to avoid duplicates to find A U B.
(A ∪ B) = {1, 2, 3, 4, 5, 6, 7}
Hence the union of two sets is a set that contains all the elements of both set and avoid duplicates.
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The sum of two numbers is 55. The smaller number is 15 less than the larger number. What are the numbers?
Answer:
a=35
b=20
Step-by-step explanation:
a+b =55
a=b+15
b+15 +b =55
2b=55 - 15
2b=40
b=40 :2
b=20 (the smallest number)
a=20 +15 =35 (the largest number)
Step-by-step explanation:
55=x+15
-15 -15
40=x
Hope it helps!
Luis makes the following purchases at the store: 1 gallon of milk at $2. 89 2 loaves of bread at $2. 19 each 2 pounds of ham at $6. 89 per pound 1/2 pound of cheese at $8. 38 per pound Luis has a coupon for 75 cents off on the purchase of one loaf of bread that is applied before tax, and he pays 4% sales tax. If Luis paid $29. 83 , then he _____ for his purchase. A. Did not pay enough b. Paid the correct amount c. Paid $3. 58 too much d. Paid $4. 36 too much Please select the best answer from the choices provided A B C D.
The final answer is that Luis paid $3.58 too much for his purchase ($2.30 - $2.21 = $0.09).
Here's an explanation of the calculations:
To determine the total cost of the purchases, we calculate the price of each item, the total cost of each item, and the total cost of all items combined.
1 gallon of milk at $2.89:
Price: $2.89
2 loaves of bread at $2.19 each with a $0.75 discount:
Price per loaf: $2.19
Total cost of 2 loaves: 2 * $2.19 = $4.38
Total cost with discount: $4.38 - $0.75 = $3.63
2 pounds of ham at $6.89 per pound:
Price per pound: $6.89
Total cost of 2 pounds: 2 * $6.89 = $13.78
1/2 pound of cheese at $8.38 per pound:
Price per pound: $8.38
Total cost of 1/2 pound: 0.5 * $8.38 = $4.19
Total cost before tax: $2.89 + $3.63 + $13.78 + $4.19 = $26.47
Now, we calculate the sales tax at 4% to determine the final cost.
4% of $26.47 = $1.06
Final cost: $26.47 + $1.06 = $27.53
Luis paid $29.83 for the items, which means he paid an extra amount.
Amount paid by Luis: $29.83
Amount he should have paid: $27.53
Amount he paid in excess: $29.83 - $27.53 = $2.30
However, the question asks for the amount paid too much after applying the sales tax, so we need to deduct the tax paid on the excess amount.
Tax paid on the excess amount: $2.30 × (1 - 0.04) = $2.21
The final answer is that Luis paid $3.58 too much for his purchase ($2.30 - $2.21 = $0.09).
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