Answer:
6
Step-by-step explanation:
Since the two triangles are similar, their ratios of sides must be constant. Therefore:
\(\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6\)
Hope this helps!
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
can chose more than one
y=1/2x+
y=4x+1/2
y=3x+1/2
y=1/2x+5
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Give your answer as a fraction,or accurate at least 4 decimal places
Given:
Shannon buys a bag of cookies that contains 6 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 6 oatmeal cookies.
Required:
To find the probability that Shannon reaches in the bag and randomly selects a oatmeal cookies from the bag, eats it, then reaches back in the bag and randomly selects a chocolate chip cookies.
Explanation:
There are total 23 cookies.
P(select oatmeal cookies from the bag, eats it, then reaches back in the bag and randomly selects a chocolate chip cookies.) =
\(\begin{gathered} =(\frac{6}{23})\times(\frac{6}{22}) \\ \\ =\frac{36}{506} \\ \\ =0.07114 \end{gathered}\)Final Answer:
The proba0.0711
it takes 8 minutes for byron to fill the kiddie pool in the backyard using only a handheld hose. when his younger sister is impatient, byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. if the hose and sprinkler are used together, it takes 5 minutes to fill the pool. which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone?startfraction 5 over 8 endfraction plus 5 r equals 8. 5r
The equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone is 5(8) + 5r = 1.
Simplify surely approach to make it simple. In mathematics, surely or simplification is lowering the expression/fraction/trouble in a less difficult form. It makes the trouble clean with calculations and solving.
Let r be the rate in parts per minute at which the lawn sprinkler would fill the pool if use alone then. If the handheld hose and the lawn sprinkler are used together, we have this equation:
5/r + 5/8 = 1
Simplifying this expression,
5(8) + 5r = 1
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Plz help i will give 15 pointssss plz
A pastry bag filled with frosting has
height 12 inches and radius 4 inches. A cake decorator can
make 15 flowers using one bag of frosting.
a. How much frosting is in the pastry bag?
Round your answer to the nearest
cubic inch.
b. How many cubic inches of frosting are
used to make each flower?
a farmer can buy two types of plant​ food, mix a and mix b. each cubic yard of mix a contains pounds of phosphoric​ acid, pounds of​ nitrogen, and pounds of potash. each cubic yard of mix b contains pounds of phosphoric​ acid, pounds of​ nitrogen, and pounds of potash. the minimum monthly requirements are pounds of phosphoric​ acid, pounds of​ nitrogen, and pounds of potash. if mix a costs ​$ per cubic yard and mix b costs ​$ per cubic​ yard, how many cubic yards of each mix should the farmer blend to meet the minimum monthly requirements at a minimum​ cost? what is this​ cost?
To solve this problem, we need to set up a system of equations based on the given information. Let's assume that the farmer needs x cubic yards of mix a and y cubic yards of mix b.
For phosphoric acid, the equation would be:
x * pounds of phosphoric acid in mix a + y * pounds of phosphoric acid in mix b = pounds of phosphoric acid required
For nitrogen, the equation would be:
x * pounds of nitrogen in mix a + y * pounds of nitrogen in mix b = pounds of nitrogen required
For potash, the equation would be:
x * pounds of potash in mix a + y * pounds of potash in mix b = pounds of potash required
We can solve this system of equations using substitution or elimination method. Once we find the values of x and y, we can calculate the total cost.
Since the question asks for the answer in more than 100 words, I'll provide an explanation for the solution process.
1. Set up the equations using the given information.
2. Solve the system of equations to find the values of x and y.
3. Substitute the values of x and y into the cost equation to find the total cost.
The solution to the problem is to blend x cubic yards of mix a and y cubic yards of mix b to meet the minimum monthly requirements at a minimum cost. The total cost can be calculated by substituting the values of x and y into the cost equation.
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Which of the following best describes the solution to the equation below?
9x + 5 = 9x + 5
Answer:
x is undefined
Step-by-step explanation:
for changes in the price of good x (holding income and the price of good y constant), a vertical price consumption curve (as shown to the right), corresponds to a: part 2
For changes in the price of good X (holding income and the price of good Y constant), a vertical price consumption curve corresponds to a perfectly inelastic demand.What is a perfectly inelastic demand?The perfectly inelastic demand curve is a horizontal line at a fixed price point.
The quantity demanded remains the same, no matter what the price of the commodity is. When the demand is perfectly inelastic, the quantity demanded will not change as the price changes, so the demand curve will be vertical.
The degree of price elasticity of demand determines the shape of the price consumption curve. The price consumption curve for perfectly inelastic demand is a vertical line.The price consumption curve shows how the quantity demanded of a commodity changes as its price varies while holding other factors constant. It is a useful tool for measuring how much of a commodity people will purchase at various prices, and it is usually used in economic analyses when price changes are anticipated.
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Graph the line that passes through the points ( 0 , − 4) and (−5,2) and determine the equation of the line.
i am highly sorry but there is no graph for me to help you with on this site :(
but to help you the X line always comes first for example the (-5,2) the -5 would be on the X line. I really hope that this help. :)
pls help!! determine the period! thx
Answer:
T=5
Step-by-step explanation:
Question 4 multiple choice answer for me
Answer: The answer is B.
Step-by-step explanation: An open circle means < or >. A closed circle means lesser or equal to or greater or equal to. The open circle is on 4 and the ray is going right. The closed circle is on 0 and the ray goes left. This is correct.
the line y = x passes through (−3, 7) and is parallel to y = 4x − 1.
The equation of the line parallel to y = 4x - 1 and passing through (-3, 7) is y = 4x + 19.
To find the equation of the line parallel to y = 4x - 1 and passing through (-3, 7), we know that parallel lines have the same slope. The given line has a slope of 4. Since the line y = x also needs to have a slope of 4, we can write its equation as y = 4x + b. To find the value of b, we substitute the coordinates (-3, 7) into the equation. Thus, 7 = 4(-3) + b, which simplifies to b = 19. Therefore, the equation of the line parallel to y = 4x - 1 and passing through (-3, 7) is y = 4x + 19.
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A motorist drives north for 35.0 minutes at 70.5 km/h and then stops for 15.0 minutes. He then continues north, traveling 130 km in. 1.90. h. (a) What is his total displacement? x Your response is within 10 ss of the correct value. This may be due to roundoff emor, of you could have a mistake in yoar calcufation. Carry out all intermediate result to atleast four-digit accuracy to minimize roundoff error. km (b) What is his average velocity? Your response is within.10\% of the conrect vatue. This may be due to roundoff erro, or you could have a misrake in your calcutation. Carry out alf intermediate results to at least four-digit acouracy to minimize roundoff erroc. km/h
The total displacement is approximately 171.049 km. The average velocity is approximately 68.940 km/h.
- Time of the first leg: 35.0 minutes
- Speed of the first leg: 70.5 km/h
- Time of the second leg: 1.90 hours
- Distance of the second leg: 130 km
(a) Total DisplacementTo find the total displacement, we need to calculate the distance traveled in each leg and sum them up. Since the motorist is traveling north on both legs, we can consider north as the positive direction.
Distance of the first leg = Speed * Time = 70.5 km/h * (35.0 minutes / 60 minutes)
Distance of the second leg = 130 km
Total Displacement = Distance of the first leg + Distance of the second leg
35.0 minutes = 35.0 minutes / 60 minutes = 0.5833 hours
Distance of the first leg = 70.5 km/h * 0.5833 hours
Total Displacement = (70.5 km/h * 0.5833 hours) + 130 km
Distance of the first leg = 41.04865 km (rounded to 5 decimal places)
Total Displacement = 41.04865 km + 130 km
Total Displacement = 171.04865 km
Therefore, the total displacement is approximately 171.049 km.
(b) Average VelocityTo find the average velocity, we need to divide the total displacement by the total time taken.
Total Time = Time of the first leg + Time of the second leg
Time of the first leg = 35.0 minutes / 60 minutes = 0.5833 hours
Time of the second leg = 1.90 hours
Total Time = 0.5833 hours + 1.90 hours
Average Velocity = Total Displacement / Total Time
Average Velocity = 171.04865 km / (0.5833 hours + 1.90 hours)
Average Velocity = 171.04865 km / 2.4833 hours
Average Velocity ≈ 68.940 km/h (rounded to three decimal places)
Therefore, the average velocity is approximately 68.940 km/h.
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what are the major methods of recording unstructured observational data
The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.
The major methods of recording unstructured observational data are:
1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.
2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.
3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.
4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.
5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.
These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.
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HELP ASAPPPP DUDE PLS PLS PLSSSSSS NOOO LINKS
Answer:
Step-by-step explanation:
use 25,000*(1-0.15)^8 = $ 6812.26
Solve for tS=9t^2-vt
Given the equation:
\(undefined\)what are the minimum and maximum numbers of elements in a heap of height h?
In a heap, the height is defined as the number of edges on the longest path from the root to a leaf node. The height of a heap with n elements is at most log₂(n+1).
To find the minimum and maximum numbers of elements in a heap of height h, we can use the formula:
The minimum number of elements in a heap of height h is 2^h (a complete binary tree of height h with the minimum number of nodes).
The maximum number of elements in a heap of height h is 2^(h+1) - 1 (a complete binary tree of height h with the maximum number of nodes).
Therefore, the minimum and maximum numbers of elements in a heap of height h are:
Minimum: 2^h
Maximum: 2^(h+1) - 1
Note that not all values of h are valid heap heights. A heap must be a complete binary tree, so its height can only take on values that satisfy the formula: \(h < = log₂(n+1),\)where n is the number of elements in the heap.
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Given vector aˉ=(4,−2,3) and bˉ= (0,3,−5) find:
1. ∣aˉ∣
2. aˉ⋅bˉ
3. the angle between aˉ and bˉ
4. ∣a×b∣
5. a vector of length 7 parallel to bˉ
6. a vector of length 2 perpendicular to both aˉ and bˉ
7. the projection of bˉ on aˉ Blank # 1 Blank # 2 Blank # 3 Blank # 4 A
1. The magnitude of vector aˉ is ∣aˉ∣ = 5.385.
2. The dot product of vectors aˉ and bˉ is aˉ⋅bˉ = -21.
3. The angle between vectors aˉ and bˉ is approximately 135.32 degrees.
1. The magnitude of a vector aˉ is given by the formula ∣aˉ∣ = √(a₁² + a₂² + a₃²). Substituting the values, we get ∣aˉ∣ = √(4² + (-2)² + 3²) = 5.385.
2. The dot product of two vectors aˉ and bˉ is given by the formula aˉ⋅bˉ = a₁b₁ + a₂b₂ + a₃b₃. Substituting the values, we get aˉ⋅bˉ = (4)(0) + (-2)(3) + (3)(-5) = -21.
3. The angle between two vectors aˉ and bˉ can be calculated using the formula θ = arccos((aˉ⋅bˉ) / (∣aˉ∣ ∣bˉ∣)). Substituting the values, we get θ ≈ 135.32 degrees.
4. The magnitude of the cross product of two vectors aˉ and bˉ is given by the formula ∣a×b∣ = ∣aˉ∣ ∣bˉ∣ sin(θ), where θ is the angle between the vectors. Substituting the values, we get ∣a×b∣ = 5.385 * 8.899 * sin(135.32) = 29.614.
5. A vector of length 7 parallel to bˉ can be obtained by multiplying bˉ by the scalar 7, resulting in (0, 21, -35).
6. A vector perpendicular to both aˉ and bˉ can be found using the cross product. We can calculate aˉ × bˉ and then normalize it to obtain a unit vector. Multiplying the unit vector by 2 will give a vector of length 2 perpendicular to both aˉ and bˉ, resulting in (8, 4, -6).
7. The projection of bˉ on aˉ can be calculated using the formula proj(bˉ, aˉ) = ((aˉ⋅bˉ) / ∣aˉ∣²) * aˉ. Substituting the values, we get proj(bˉ, aˉ) = ((-21) / 29.124) * (4, -2, 3) ≈ (1.153, -0.577, 0.865).
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Crownfashions.com wants to estimate the average time that visitors to its website spend browsing the site. In a random sample of 49 visits this week, average browsing time is 13.6 minutes. Assume you know the population standard deviation is 5.2 minutes. Construct an 80% confidence interval estimate of average browsing time for the population of crownfashion.com visitors this week. Report the margin of error indicated by the interval.
The 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
To construct an 80% confidence interval estimate of the average browsing time for the population of crownfashion.com visitors this week, we can use the following formula:
Confidence Interval = \(\bar{X}\) ± Z \(\times\) (σ/√n)
Where:
\(\bar{X}\) is the sample mean (average browsing time) = 13.6 minutes,
Z is the Z-score corresponding to the desired confidence level (80% confidence level corresponds to a Z-score of 1.28),
σ is the population standard deviation = 5.2 minutes,
n is the sample size = 49.
Plugging in these values, we can calculate the confidence interval as follows:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/√49)
Simplifying the expression:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/7)
Confidence Interval = 13.6 ± 1.28 \(\times\) 0.742857
Confidence Interval = 13.6 ± 0.951428
The lower bound of the confidence interval is 13.6 - 0.951428 = 12.648572, and the upper bound is 13.6 + 0.951428 = 14.548572.
Therefore, the 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
The margin of error indicated by the interval is half of the width of the confidence interval, which is (14.548572 - 12.648572) / 2 = 0.95 minutes.
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As a point on a graph moves upward and leftward the value of its x coordinate _ and the value of its y coordinate _.
1.rises;rises
2.rises;falls
3.falls;rises
4.falls;falls
I had 42 ounces of rice. On Monday I bought 58 more ounces of rice. Then I divided all the rice into 10 equal-sized portions for dinner with friends.
The required solution is 10 ounces.
It is required to find the solution.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Initially I had 42 ounces of rice.
I bought 58 more ounces of rice.
According to given question we have,
I assume you meant to ask how many ounces of rice are in each portion.
(42 + 58) / 10 ounces
= 100 / 10 ounces
= 10 ounces
Therefore, the required solution is 10 ounces.
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What is the equation of the line through the point (O, 4) with slope of 2?
Tanvi opened a savings account and deposited $400.00 as principal. the account earns 13%
interest, compounded annually. what is the balance after 7 years?
p(1+)",
use the formula a = p 1 + where a is the balance (final amount), p is the principal
(starting amount), r is the interest rate expressed
as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
round your answer to the nearest cent.
The amount of the money after 7 years with a rate of 13% with an initial amount of $400 will be $ 941.04.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Tanvi opened a savings account and deposited $400.00 as principal.
The account earns 13% interest, compounded annually.
Then the balance after 7 years will be
We know the compound interest formula.
A = P (1 + r)ⁿ
We have
P = $ 400
r = 13%
n = 7 years
Then we have
A = 400 x (1 + 0.13)⁷
A = 400 x 1.13⁷
A = 400 x 2.3526
A = $ 941.04
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the circle passes through the point ( 7 , 6 ) (7,6)(, 7, comma, 6, ). what is its radius?
We cannot determine the center or radius of the circle based on the given information.
How to find the radius of the circle passing through the point (7, 6)?To find the radius of the circle passing through the point (7, 6), we need to determine the center of the circle.
Let's assume that the center of the circle is (a, b). Since the circle passes through point (7, 6), we can set up an equation using the distance formula between the center (a, b) and point (7, 6) as follows:
√((7 - a)² + (6 - b)²) = r
where r is the radius of the circle.
We can see that this equation represents the distance between the center of the circle and the point (7, 6) is equal to the radius of the circle.
We also know that the distance between the center of the circle and any point on the circle is equal to the radius. Therefore, if we can find the distance between (a, b) and another point on the circle, we can solve for the radius.
However, we do not have any other information about the circle, such as another point or the equation of the circle. Therefore, we cannot determine the center or radius of the circle based on the given information.
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in a survey of 126 pet owners, 27 said they own a dog, and 78 said they own a cat. 21 said they own both a dog and a cat. how many owned a cat but not a dog?
The number of pet owners who owned a cat but not a dog is 57.
Here, we are given that a survey was conducted of 126 pet owners.
Let A = people who own a dog
A = 27
B = people who own a cat
B = 78
Thus, the people who own both a cat and a dog will be depicted as-
A ∩ B which is given to be 21
Now, here-
B = people who own only a cat + people who own both a cat and a dog
Thus, we get the following equation-
78 = people who own only a cat + 21
people who own only a cat + 21 = 78
people who own only a cat = 78 - 21
= 57
Thus, the number of pet owners who owned a cat but not a dog is 57.
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A line passes through the point (6, - 3) and has a slope of -2.
Write an equation in slope-Intercept form for thls line.
To find the equation of the line passing through the point (6, -3) with a slope of -2, we can use the point-slope form of the equation of a line:y - y1 = m(x - x1)where (x1, y1) is the given point and m is the slope.Substituting the given values, we get:y - (-3) = -2(x - 6)Simplifying, we get:y + 3 = -2x + 12Subtracting 3 from both sides, we get:y = -2x + 9So, the equation of the line is y = -2x + 9
Identify the type of function represented by
f(x) = 4.2x
OA. Decreasing linear
OB. Exponential growth
OC. Exponential decay
OD. Increasing linear
The function is an increasing linear function
How to determine the function type?The function is given as:
f(x) = 4.2x
The above function is a linear function, because linear functions are represented as:
f(x) = mx + b
Where m represents the slope.
A positive slope represents an increasing linear function.
By comparison;
m = 4.2
4.2 is positive
Hence, the function is an increasing linear function
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Simplify: a4b3 × a2b5c3
A.
a8b15c3
B.
a6b8c3
C.
a2b-2c3
D.
a2b2c3
Answer:
B. a6b8c3
Step-by-step explanation:
What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−3)2+4?
Answer:
x = 3.
Step-by-step explanation:
The parabola opens downwards.
it's x = 3 (because of the (x- 3))
4. A prism has an area of cross-section of 89 cm². The volume of the prism is
4895 cm?. Find the height of the prism.
Answer:
55 cm
Step-by-step explanation:
height = 4895/89 = 55 cm