The sinusoid that models 4° = A cos B(x - C) and 68° = A cos B(x - C) the change in temperature in the house.
The heater turns on when the house is 4° below the set temperature and turns off when the house is 4° above the set temperature. The temperature is set at 68°. At 10:15 am the heater turns on, and at 10:30 am the heater turns off.
Temperature fluctuations can be modeled using the sine and cosine functions throughout the day.
The equations that can be used to model these data is of the form:
At 10:30 am the heater turned off,
⇒ 4° = A cos B(x - C)
At 10:15 am the heater turned on,
⇒68° = A cos B(x - C)
where A, B, and C are constants, y is the temperature in °C and x is the time
Thus, The sinusoid that models 4° = A cos B(x - C) and 68° = A cos B(x - C) is the change in temperature in the house.
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Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 412 cups.
Write and solve an equation to find the original amount of nuts, x, in the recipe.
The original amount of nuts, x, in the recipe is 103
The equation for the original amount is 2x + 2x = 412
What is an algebraic expression?An algebraic expression can be defined as an expression made up of terms, factors, constants, coefficients, and variables.
These expressions are also known to be made up of mathematical operations such as;
SubtractionAdditionMultiplicationDivisionBracketParenthesesFrom the information given, we have that;
Beverly doubles the amount of nuts and peanut butter chips
Total number = 412
This is represented as;
2x + 2x = 412
collect like terms
4x = 412
Make 'x' the subject of formula
x = 412/ 4
x = 103
Hence, the value is 103
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BRAINLIEST!! A helicopter descends until it reaches the ground. The equation y=-300x+ 1200 gives the height. Y, in feet, x minutes after the pilot begins the descent
Graph for the equation ( y = -300x + 1200 ) below
y-intercept = ( 0, 1200 )
x-intercept = ( 4, 0 )
Hope this helps! :)
The y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 ).
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Given:
y=-300x+ 1200
Now, for y- intercept put x=0
y= 1200
and, for x- intercept put y= 0
0 = -300x +1200
x= 4
Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 ).
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Delta Airlines' flights from Denver to Dallas are on time 80 % of the time. Suppose 7 flights are randomly selected, and the number on-time flights is recorded.
Round answers to 3 significant figures.
The probability that exactly 4 flights are on time is =
The probability that at most 3 flights are on time is =
The probability that at least 6 flights are on time is =
1) Probability that exactly 4 flights are selected is; P(X = 4) = 0.11469
2) The probability that at most 3 flights are on time is; P(X ≤ 3) = 0.99533
3) The probability that at least 6 flights are on time is; P(X ≥ 6) = 0.57672
How to solve Binomial Probability Distribution?The formula for binomial probability distribution is;
P(r) = nCr * p^(r) * (1 − p)^(n − r)
Where;
n = Number of events
r = Number of successful events in the trials
p = Probability of success in the single trial of the events
We are given;
p = 80% = 0.8
n = 7
1) Probability that exactly 4 flights are selected is;
P(X = 4) = ⁷C₄ * 0.8⁴ * (1 − 0.8)^(7 − 4)
P(X = 4) = ⁷C₄ * 0.8⁴ * 0.2³
P(X = 4) = 0.11469
2) The probability that at most 3 flights are on time is;
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
Solving using online binomial calculator gives;
P(X ≤ 3) = 0.99533
3) The probability that at least 6 flights are on time is;
P(X ≥ 6) = P(X = 6) + P(X = 7)
P(X ≥ 6) = 0.57672
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Solve the following system of equations. Show your work.
y=−3x+5
5x−4y=−3
Solution:
What is the relationship between Za and Zb?
Choose 1 answer:
A
B
a
Vertical angles
b
Complementary angles
Answer:
A
Step-by-step explanation:
∠ A and ∠ B are vertically opposite angles and are congruent. that is
∠ A and ∠ B are vertical angles
a man has extra digits (six fingers on each hand and six toes on each foot). his wife and their daughter have a normal number of digits. having extra digits is a dominant trait. the couple's second child has extra digits. what is the probability that their next (third) child will have extra digits?
The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.
Define the term dominant traits?A trait is a distinguishing characteristic that a person possesses. Dominant traits are defined as having only one copy of a gene on a chromosome which expresses a specific trait.Individuals exhibit the dominant traits most prominently. Polydactyly is the dominant condition in this case.For the given condition,
The father has six fingers plus six toes, while the mother is still in normal condition. In this particular case, polydactyly is a dominant characteristic. Twelve percent of the couple's children are projected to have additional digits.Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.
Thus, the likelihood of their next (third) child having additional digits is 1/2.
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Consider the line y=-8/5x+6.
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of parallel line:
Equation of perpendicular line:
Step-by-step explanation:
the equation
y = -8/5 x + 6
tells us 2 things :
-8/5 is the slope of the line, 6 is the y-intercept (the y value when x = 0).
a parallel line has the same slope (just a different y-intercept) : -8/5
a perpendicular line (intercepts at 90°) turns the original slope upside-down and flips the sign : 5/8
we the use the given point as x and y values and calculate the y-intercepts.
parallel :
3 = -8/5 × 5 + y-intercept = -8 + y-intercept
11 = y-intercept
y = -8/5 x + 11
perpendicular :
3 = 5/8 × 5 + y-intercept = 25/8 + y-intercept
(3×8)/8 = 24/8 = 25/8 + y-intercept
-1/8 = y-interceot
y = 5/8 x - 1/8 = 1/8 × (5x - 1)
The dimensions of a rectangular garden are 15 yards by 20 yards. A sidewalk, one yard wide, is to be built around the outside of the garden. What will be the area of the sidewalk?
Answer:
74 square yards
Step-by-step explanation:
Area of two-dimensional shapes:Area of rectangular garden:
l = 20 yds
w = 15 yds
Area of the rectangular garden = l *w
= 20 * 15
= 300 square yards.
Area of the outer rectangle (rectangular garden and the sidewalk):
length = 20 + 1 + 1 = 22 yds
width = 15 + 1 + 1 = 17 yds
Area of outer rectangle = 22 * 17
= 374 square yards
To find the area of the sidewalk, subtract the area of rectangular garden from the outer rectangle.
Area of the sidewalk = area of outer rectangle - area of sidewalk
= 374 - 300
= 74 square yards
Kenneth has entered a check payment of $350.25 in his checkbook. If the old balance was $545.95, what is his latest balance?
A.
$896.25
B.
$195.70
C.
$195
Answer: $195.70
Step-by-step explanation:
help plss!!!
Based on the tables showing the price of buying different amounts of two brands of sugar. Suman determined that Sweet Sugar was the better buy based on price alone. How much money per pound will Suman save if he buys the Sweet Sugar brand?
Answer: b
Step-by-step explanation:
Answer:
He will save 1 cent per pound if he buys the Sweet Sugar brand
how many degrees in a right angle
Answer:
90 degrees is the amount of degrees in a right angle
Find measure vzw pls helppppp
VZW=64
Step-by-step explanation:
Since the lines are straight the angles are equal. 2x+32=3x+16
Solve this for x.
32=x+16
16=x
Put the value for x (16) in to one of the angle equations
2(16) + 32 = 32 + 32 = 64
Determine the sum of the factors of 100
The factors of the number 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100. If you add them up, you will get the total of 217
PLEASE HELP ME WITH GEOMERY
The blanks in this two-column proof should be completed (filled) as follows:
Statements Reasons_______________
m∠RST = 5x° and m∠UVW = 7x° Given
∠RST and ∠UVW are supplementary
m∠RST = 5x° + m∠UVW = 180 definition of supplementary angles
5x + 7x = 180 substitution property of equality
12x = 180 addition property of equality
x = 15 division property of equality
What is a supplementary angle?In Mathematics, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.
Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this context, we can logically deduce that the sum of angles RST and UVW are supplementary angles:
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3
6
Find the value of x.
x
x = [?]
For the given triangle, the value of x would be 12.
What is the geometric mean theorem of a triangle?
According to the geometric mean theorem, the length of an altitude drawn from a triangle's right angle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
For the given triangle, we can apply the geometric mean theorem,
By the geometric mean theorem, we can write
6² = 3 * x
36 = 3 * x
⇒ x = 36/3
⇒ x = 12.
Hence, for the given triangle, the value of x would be 12.
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please help asap will give brainliest
1. The angles measures are larger than the original angle measures is a false statement.
2. If two sides parallel in the original figure, then those sides are parallel in the final figure is true statement.
3. The final angle measure are the same as the original angle measure is false statement.
4. The original figure and the final figure may not be congruent is true statement.
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Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-13) = 20 B. g(7) = -1 C. g(0) = 2 D. g(-4) = -11
The statement which could be true for the function, g as required in the task content is; Choice C; g(0) = 2.
Which of the statements could be true for the function g?It follows from the task content that the statement which could be true about the function g is to be identified.
Since the given function instances are; g(0) = -2 and g(-9) = 6.
Since the function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.
Hence, the statement which could be true about the function, g is; Choice C; g(0) = 2.
This is so because, 0 is in the domain of the function and 2 is in the range of the function.
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Question 1 of 10
Which of the following is the solution to | x1-2 ≤-3?
O A. All values are solutions
OB. xs-1 and x 25
OC. xs-1
OD. No solution
x = -1 is the solution to the given inequality |x| - 2 ≤ -3.
The five steps to resolving inequalities are as follows?
When addressing an inequality, we can:
Equal numbers are added to both sides.Take the same amount away from both sides.Add the same positive number to both sides.Subtract the same positive value from both sides.Reverse the sign and multiply both sides by the same negative value.Isolate the variable on one side of the inequality and place all other constants on the other. To achieve this, alter the inequality by performing opposing procedures. First, multiply each side by two to isolate the x. Any action you take toward one side must also be taken toward the other.
C) If x = -1,
|x| - 2 ≤ -3
|-1| - 2 ≤ -3.
1 - 2 ≤ -3.
-1 ≤ -3 which is true.
Hence, x = -1 is the solution to the given inequality |x| - 2 ≤ -3.
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(b)
Simplify
45e6f8
5ef²
The length of a rectangle is twice its width.
If the perimeter of the rectangle is 42 in, find its length and width.
Answer: Width = 7 inches, Length = 14 inches
Step-by-step explanation:
Let the width be [tex]w[/tex]. Then, the length is [tex]2w[/tex].
Using the formula for the perimeter of a rectangle,
[tex]2(w+2w)=42\\\\w+2w=21\\\\3w=21\\\\w=7\\\\\implies 2w=14[/tex]
i need help please!!! i dont know
The locations of the destinations given by the angles formed between parallel lines and their common transversal in the question are;
1) US Capitol
2) CIA Building
3) US Capitol
4) US Treasury
5) Walmart
What are the relationships between the angles formed by parallel lines that have a common transversal?The relationship between the angles formed are;
Corresponding angles are congruentSame side interior angles are supplementaryAlternate interior angles are congruentAlternate exterior angles are congruentVertical angles are congruent1) The location that is at a corresponding angle to the White House is the Supreme Court
The location at the vertical angle to the Supreme Court is the Smithsonian Institute
The location that is at the angle right adjacent to the Smithsonian Institute is the US Capitol
The destination location is the US Capitol2) The location that is vertical angles to the FBI Building is the National Zoo
The same side interior angle to the National Zoo is the National Coffee shop
The location at the alternate interior angle to the National Coffee Shop is the CIA Building
The location is the CIA Building3) The location at the alternate exterior angles to Lincoln Memorial is Walmart
The adjacent location that is a right angle to Walmart is the White House Gardens
The location that is at the corresponding angle to the White House Gardens is the US Capitol
The location is the US Capitol4) The location that is at the corresponding angle location to the Smithsonian Institute is the National Zoo Gift Shop
The location that is at the same side interior angle to the national gift shop is the US Capitol
The location that is at the vertical angle location to the US Capitol is the US Treasury
The current location is the US Treasury5) The location that is at alternate interior angle location to the Ford's theater is the US Capitol.
The location that is supplementary with the Vietnam War Memorial and the National Zoo is the National Coffee Shop
The location at the angle that is vertical from the National Coffee Shop is the Lincoln Memorial
The location that is at alternate exterior angle with the Lincoln Memorial is Walmart
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A cat’s heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat′s heart beat per second?
Can anyone write the equation of the graph?
Answer:
f(x) = |x-3| + 5
Steven hit the ball 12 times out of 26 at bats in the first half of the season and 6 times out of 14 at bats in the second half of the season. What is his batting average for the whole season, written as a decimal?
Answer:123
Step-by-step explanation:
7328x3424
Steven battling average for the whole season he played was 0.45
How to solve an equation?An equation is an expression showing the relationship between two or more numbers and variables.
Steven hit the ball 12 times out of 26 at bats in the first half of the season and 6 times out of 14 at bats in the second half of the season.
Hence:
Batting average = (total number of time he hit the ball in both season half) / (total number of balls thrown)
Therefore:
Battling average = (12 + 6)/ (26 + 14) = 18 / 40 = 0.45
Steven battling average was 0.45
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parameters are group of answer choices numerical characteristics of a sample. numerical characteristics of a population. the averages taken from a sample. numerical characteristics of either a sample or a population.
The correct answer is Option B. Parameters are defined as a group of numerical characteristics of a population.
Parameters are generally the numbers or values that represent the whole population's numerical characteristics. There is a difference between Statistics and Parameters.
Statistics is generally defined as the numerical characteristics of a sample. For example, a sample of standard mean or a sample of standard deviation is an example of statistics.
Parameters are the numerical representation of the characteristics of a population. For example, Population mean or Population standard deviation are examples of Parameters. These represent the data or the characteristics of the population in numerical.
Hence, the correct answer is Option B.
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The correct answer is Parameters are described as a group of numerical characteristics of a population.
In general, Parameters are the numerical values that represent the entire population's numerical characteristics. There is a variation between Statistics and Parameters. Statistics are defined as the numerical characteristics of a sample. A sample of standard mean deviation or a sample of standard deviation are examples of statistics.
Parameters are the numerical portrayal of the characteristics of a population. Population mean deviation or Population standard deviation are examples of Parameters. These depict the information or the characteristics of the population in a numerical way.
Hence, the correct answer is Parameters are described as a group of numerical characteristics of a population.
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What’s the answer 60 points plus brainliest also explanation needs to be included
Answer:
both a and b
Step-by-step explanation:
It is because in the elimination method it does not matter whether you eliminate x or y so if you use option a which multiplies -2 by 1st equation so it will become:
-4x+6y=40
4x+6y=8
so the -4x and 4x cancels and a is a valid option.
If you use the b which multiplies the second with 3 it becomes:
2x-3y=-10
4x+3y=24
so -3y and 3y cancel which also makes this a valid option.
Answer: both a and b
You-Pick Blueberry Farm sells 6 pounds of blueberries for $16.50.
How much would 9 pounds of blueberries cost?
How much would 5 pounds of blueberries cost?
I will give brainly! worth 23 points! please hurry!
The value of 9 pounds of blueberries is $24.75.
The value of 5 pounds of blueberries is $13.75.
How to calculate the cost?The fact that the Blueberry Farm sells 6 pounds of blueberries for $16.50 implies that the cost per pound will be:
= $16.50 / 6
= $2.75
Therefore, 9 pounds of blueberries cost:
= Cost per pound × 9
= $2.75 × 9
= $24.75
5 pounds of blueberries will cost:
= 5 × $2.75
= $13.75
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Two-thirds of a number subtracted from nine is seven. Find the number.
Answer:
3
Step-by-step explanation:
9-2/3x=7
We know that 9-2=7 so 2/3x must be 2
2/3x=2
You have to multiply each side by 3/2
x=3
The number is 3
rocio is covering the curved surface of a cylindrical podium in wallpaper. the podium is 1.2 meters tall and has a diameter of 0.26 meters. about how much wallpaper does rocio need? a. b. c. d.
The area of wallpaper required is 0.98 [tex]m^{2}[/tex]
What is mensuration ?Mensuration is a division of mathematics that studies geometric figure calculation and its parameters such as area, length, volume, lateral surface area, surface area, etc. It outlines the principles of calculation and discusses all the essential equations and properties of various geometric shapes and figures.
Mensuration is a subject of geometry. Mensuration deals with the size, region, and density of different forms both 2D and 3D. Now, in the introduction to Mensuration, let’s think about 2D and 3D forms and the distinction between them.
Calculationd = 0.26m
h = 1.2m
s = pi * d * h
= 0.98 square meter
the area of wallpaper required is 0.98 [tex]m^{2}[/tex]
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Answer:
0.98 m²
Step-by-step explanation:
I got it right hope this helps.
Identify the kind of sequence shown: 2,-1,-4, -7, -10, ... *
O Arithmetic
O Geometric
ONeither