Answer:
$1.35
Step-by-step explanation:
There's a few ways to do this but this is what I use:
9 x .15 = 1.35
Answer:
$1.35
Step-by-step explanation:
15% = 0.15
15% of $9 = 0.15 * 9
15% of $9 = $1.35
:3))
What is the y intercept of y= 3x + n
Answer:
Step-by-step explanation:
1
Which angle is an x-intercept for the function y = cos(x)?
Α. Ο
B. x/2
C.pie
D. 2pie
The correct option is D, the x-intercept is 2pi
Which angle is an x intercept?To find this, we need to solve the equation:
y = cos(x/2) = 0
Remember that the cosine function is zero for the arguments pi and (3/2)pi.
Then the x-intercepts are:
x/2 = pi
x/2 = (3/2)pi
Solving these:
x = 2pi
x = 3pi
From these the one that appears in the options is 2pi, at option D.
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The midpoint of (-4,15) and (22,3)
Answer:
(9, 9)
Step-by-step explanation:
midpoint of (-4,15) and (22,3)
\( = \bigg( \frac{ - 4 + 22}{2}, \: \: \frac{15 + 3}{2} \bigg) \\ \\ = \bigg( \frac{18}{2}, \: \: \frac{18}{2} \bigg) \\ \\ = ( 9, \: \: 9) \\ \\ \)
d. In this situation, what does the solution to the equation C(t) = 2 tell us? Find
that solution.
e. Write an equation that would allow us to find the age of the car when we know
C(t).
ora 1 Unit 4
n 17
CC BY 2019 by Illustrative Mathematics®
The equation C(t) = 2 tells us that at a moment of t, the numeric value of the variable C is of 2 units.
How to define the ordered pair and how it relates to the numeric value?The general format of an ordered pair is given as follows:
(x,y).
The meaning of an ordered pair (x,y) is that y = f(x), meaning that the numeric value of the function at the value of x is of y.
The ordered pair for this problem is given as follows:
(t, C(t)) = (t,2).
Meaning that at a moment of t, the numeric value of the variable C is of 2 units.
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2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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PLEASE HELP ME ILL MARK YOU BRAINLY!!
Answer:
No
Step-by-step explanation:
no because it doesn't pass the horizonal line test
Which statement is true about the angle bisectors of a triangle?
Answer:
Follows are the solution to the given question:
Step-by-step explanation:
There are missing details, which is why its solution is as follows:
When an angle bisector points so, its two sides of the corner are equidistant. Its corner bisector of a triangle angle is a straight line splitting its angle into two congruent directions. In such a single point, calling its incentives, follow three-angle engineers are required of its three triangle angles.
Need Help!!!! A pre-image has coordinates J(3, -6) and K(-1, -2). The image has coordinates J'(6, 3) and K'(2, -1). Describe the clockwise rotational path of the line segment.
After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.
So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)
The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.
The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:
Midpoint of JK: (1, -4)
Midpoint of J'K': (4, 1)
The slope of the vector: 3/5
(x₁ + x₂)/2, (y₁ + y₂) /2
Point-slope formula: y - y₁ = m(x - x₁)
Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)
Applying simplification , we get: y = (- 3/5)x - 1.2
To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:
y - 1 = (7/3)( x - 4)
Apply simplification , we get: y = (7/3)x - 17/3
To evaluate the intersection point, we can solve the system of equations:
y =(- 3/5)x - 1.2 = (7/3)x - 17/3
Evaluating for x and y, we get x = -6 and y = -1.
Therefore, the center of rotation is (-6, -1).
√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)
Distance between image points and center of rotation
√( ( 6 - (-6))² + ( 3 - (-1))² = 13
The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).
The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':
Angle of vector: arctan(5/3) = 59.04 degrees
Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
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Click on the numbers that fit the description.
(Choose 4)
Answer:
6231
Step-by-step explanation:
Answer:
6,2,30,8 is the common factor of 18 and 30
How can I get 9th grade to add up to 500? You can only change summer and fall. Thank you
Answer:
8th fall- 203 9th fall-95
Step-by-step explanation:
the 9th total is 500
8th fall is 203
9th fall is 95
9. Kyoko plans to put a new wood floor in her den, which is shown in the floor plan.
a. What is the area of the floor?
b. At a cost of $11 per square foot, how much will it
cost to put down the new floor?
c. Kyoko plans to put a rectangular area rug in the
room. The rug will be large enough so that only
a 2-foot wide section of the wood floor will be
exposed on each side. Find the dimensions of the
area rug.
d. What is the area of the area rug?
Den
17 ft x 14.5 ft
e. Find the area of the wood floor that will be exposed once the area rug is laid down.
a.) The area of the floor = 246.5ft²
b.) The amount that it will cost to put down the new floor would be = $2,711.5
C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.
d.) The area of the area rug would be = 388.5ft²
How to calculate the area of the floor?For question a.)
The floor has a rectangular shape. The area of a rectangle = length×width
area of the floor= 17×14.5
= 246.5ft²
For question b.)
For a square foot(1ft²) = $11
246.5ft² = 246.5×11 = $2,711.5
For question c.)
Since the rug will be extended by 2ft at each side, the new dimensions would be:
length = 2+2+17 = 21ft
width = 2+2+14.5 = 18.5ft
For question d.)
The area of the floor with the new dimensions = 21×18.5 = 388.5ft²
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Suppose that an airline overbooks seats on their flights. In particular, it sells 300 tickets for a flight when there are only 270 seats available. On average, we expect 15% of those with tickets to not show up. What is the probability that we will have enough seats for everyone who shows up
Using the normal approximation to the binomial, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\).In this problem:
15% do not show up, so 100 - 15 = 85% show up, which means that \(p = 0.85\).300 tickets are sold, hence \(n = 300\).The mean and the standard deviation are given by:
\(\mu = np = 300(0.85) = 255\)
\(\sigma = \sqrt{np(1-p)} = \sqrt{300(0.85)(0.15)} = 6.185\)
The probability that we will have enough seats for everyone who shows up is the probability of at most 270 people showing up, which, using continuity correction, is \(P(X \leq 270 + 0.5) = P(X \leq 270.5)\), which is the p-value of Z when X = 270.5.
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{270.5 - 255}{6.185}\)
\(Z = 2.51\)
\(Z = 2.51\) has a p-value of 0.994.
0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
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Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees0° and standard deviation of 1.00degrees°C. Assume 2.72.7% of the thermometers are rejected because they have readings that are too high and another 2.72.7% are rejected because they have readings that are too low. Draw a sketch and find the two readings that are cutoff values separating the rejected thermometers from the others.
Answer:
The diagram is attached below.
Step-by-step explanation:
A normal distribution mean 0 and standard deviation 1 is known as the standard normal distribution.
So, the readings on the thermometers (denoted by Z) follows N (0, 1).
It is provided that 2.7% of the thermometers are rejected because they have readings that are too high and 2.7% are rejected because they have readings that are too low.
This implies that:
\(P(Z<-z)=0.027\ \text{and}\ P(Z>z)=0.027\)
The value of z associated to both these probabilities are:
z = 1.93.
That is,
\(P(Z<-1.93)=0.027\ \text{and}\ P(Z>1.93)=0.027\)
*Use a z-table.
The diagram for the two readings that are cutoff values separating the rejected thermometers from the others is attached below.
What is the sum of 1.57 and 6.88?
7 tenths, 3 hundredths, and 5 thousandths
8 ones, 4 tenths, and 5 hundredths
5 ones, 4 tenths, and 8 hundredths
7 tenths, 4 hundredths, and 5 thousand
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HAVE A GOOD DAY
g explain the central limit theorem. Describe an experiment that could be used to verify the central limit theorem.
Answer:
Throughout the clarification segment elsewhere here, the definition of it's concern is mentioned.
Step-by-step explanation:
Central theorem:
Once we take repeated samples from some kind of particular group, the central limit theorem shows us precisely whatever the form including its distribution implies. Accurately, the distributions of means determined via repeated measurements can reach normality as when the small samples get bigger.Statement:
If x would be any distribution of random sample 30 more wide with either a mean = \(\mu\)
standard deviation = \(\sigma\)
After which \(\bar{x}}\) would have had a roughly normal distribution which
mean = \(\mu\) and
default variance = \(\frac{\sigma}{\sqrt{n}}\)
Find the equation of a line perpendicular to y=−10+3x that passes through the point (9,-2).
The equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2) is y = -1/3x + 1
How to find the equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2)?The equation of the line is given as
y = -10 + 3x
Rewrite the equation as
y = 3x - 10
A linear equation is represented as
y = mx + c
Where
Slope = m
So, we have
m = 3
The slopes of perpendicular lines are opposite reciprocals
This means that
m2 = -1/m1
So, we have
m = -1/3
Evaluate
m = -1/3
The equation of the perpendicular line is then calculated as
y = m(x - x1) + y1
Where
(x1, y1) = (9, -2)
This gives
y = -1/3(x - 9) - 2
Evaluate
y = -1/3x + 3 - 2
Evaluate the sum and the difference
y = -1/3x + 1
So, the equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2) is y = -1/3x + 1
Hence, the required equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2) is y = -1/3x + 1
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solve for the missing side and round to the nearest tenths place
Answer:
A. 22.5
Step-by-step explanation:
Apply Trigonometric function.
Reference angle = 64°
Opposite side to 64° = x
Hypotenuse = 25
Apply SOH:
Sin 64 = Opp/Hyp
Sin 64 = x/25
25 × Sin 64 = x
22.4698512 = x
x = 22.5 (nearest tenth)
The center of an earthquake was detected along the Pacific Rim. Geologists determined that the distance the seismic waves traveled is represented by r = 15sin(θ), where r is in miles. Which graph represents the distance the waves traveled?
The graph that most effectively displays the distance covered by the waves would be:
C). Circle above the x-axis.
Given that,
Location of the earthquake = across the Pacific Rim
Also
The distance that the waves covered is signaled by r(miles) = 15sin(θ)
Since 15sin(θ) is the distance, the circle above to the x-axis would be the correct representation.
Thus, option C is the correct answer.
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The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.
\(P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}\)
Higher Order Thinking Morgan read
a thermometer at 7:00 P.M. The
temperature was 16°C. This temperature
was 9°C less than the temperature at
2:00 P.M. The temperature at 2:00 P.M.
was 10°C higher than the temperature at
8:00 A.M. What was the temperature at
8:00 A.M.?
The temperature at 8:00 A.M. was 15°C.
Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.
We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C
3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.
Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C
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The predetermined manufacturing overhead rate for a company will generally be:______
A. Higher than actual manufacturing overhead rates
B. Based on monthly budgets
C. Lower than actual manufacturing overhead rates
D. Based on annual budgets
Answer: D. Based on annual budgets
Step-by-step explanation:
The predetermined manufacturing overhead rate for a company will based on the annual budgets.
The predetermined overhead rate is usually calculated during the beginning of an accounting period and this is gotten by dividing the manufacturing overhead that has been estimated by an estimated activity base. It is used in the application of the manufacturing overhead to the job orders.
Domain and range and function or not
Answer:
Domain: -2,0,1,3,4
Range: 2,3
Yes its a function
Step-by-step explanation:
Find three consecutive integers who sum is 114?
Answer:
38
Step-by-step explanation:
38+38+38= 114
Let (-3,-2) be a point on the terminal side of theta. Find the csc(theta)
The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.
To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.
Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.
The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.
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It’s a test!!! I only have 20 minutes left!!! Please help me!!!
2. What is the y-intercept of the line graphed on the grid?
y
7
(-2,7)
S
4
3
(6, 1)
2
- 1
9-9-7-6-S -4 -3 -2
1
2
34
-1
-1
5 6 7 8 9
-2
-2
-4
-6
-
-8
Answer:it would be 5.5.
Step-by-step explanation:
I’m confused, how do I create a dot-plot with only one number in the tens?
The dot represents the data point of 5, and there are no other data points to include on the dot plot.
You can still make a dot plot even if you just have one number in the tens by placing a dot on a number line above the number. If your data point is 5, for instance, you can represent it by placing a dot above the tick mark for 5 on a number line that has tick marks for each integer from 0 to 9. Here is an illustration of how the dot plot might appear:
|
5 •
|
|
|
|
|
|
|
|
+ - - - - - - -
0 1 2 3 4 5 6 7
There are no additional data points to place on the dot plot because the dot in this illustration represents the data point of 5.
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determine the equation of the vertical line that passes through (3, 15)
Answer:
x = 3
Step-by-step explanation:
The given straight line is vertical therefore it's slope doesn't exists.
Equation of the line with undefined slope is given by, x = c where c is the point of x axis from which the given line passes.
Therefore x = 3 is the correct answer.
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST ANSWER NO TROLLS
Answer:the X factor is 7
Step-by-step explanation:
I am stuck can I please have a break down of the problem and how to solve it? thank you
Since the graph is a line, we can use the linear equation y = mx + b to represent it.
In order to find the values of m and b, we can use two points that are on the line (therefore are solution to the equation).
Using the points (0, 5) and (1, 6), we have:
\(\begin{gathered} y=mx+b \\ (0,5)\colon \\ 5=0m+b\to b=5 \\ (1,6)\colon \\ 6=m+b \\ 6=m+5 \\ m=6-5=1 \end{gathered}\)So the equation is:
\(y=x+5\)