The unit rate for the given proportional relationship is k = 15.
How to get the unit rate?A proportional relationship between two variables can be written as:
y = k*x
Where k is the constant of proportionality (also called the unit rate).
If we look at the graph, we can see that the line passes through the point (1, 15).
This means that when x = 1, we must have y = 15.
Replacing that in the proportional relation we get:
15 = k*1
Solving for k:
k = 15/1 = 15
So we conclude that the unit rate is 15.
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I’ve worked out that the 1st term is -5 but can’t work out the rest. I thought it was -77 but it’s wrong
Answer:
-5, 22, 292
Step-by-step explanation:
Subbsittutoin mehtod
(i) n = 1 , 3n - 8
= 3 x 1 - 8
= -5
(ii) n = 10 , 3n - 8
= 3 x 10 - 8
=22
(iii) n = 100 , 3n - 8
= 3 x 100 - 8
= 300 - 8
= 292
HELP ME PLEEEEEEAAAASSSSEEEEE
Answer:
Step-by-step explanation:
Remark
There are a couple of things you should keep in mind.
1. Your coefficient should always be a number between 1 and 9.999...
2. If you move right, you have a negative exponent. If you move left, you get a positive exponent.
Solution
So you are going right. The exponent is minus. You have 2 places to go to get a number between 1 and 9.99999. In this case, the coefficient is 3.55 So it goes in the blue box.
The red box is - 2
The answer is: blue 3.55
Orange: -2
Pleasee helpp answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
\(\boxed {\boxed {\sf d= 13}}\)
Step-by-step explanation:
Distance can be calculated using this formula:
\(d= \sqrt {(x_2-x_1)+(y_2-y_1)\)
where (x₁, y₁) and (x₂, y₂) are the points. We are given the points (6, -9) and (1, 3). Therefore:
\(x_1= 6\\y_1= -9 \\x_2= 1\\y_2=3\)
Substitute the values into the formula.
\(d= \sqrt {(1-6)^2+(3--9)^2\)
Solve inside the parentheses.
1-6= -5 3--9= 3+9 = 12\(d= \sqrt{(-5)^2 + (12)^2\)
Solve the exponents.
(-5)²= -5*-5 =25 (12)²= 12 *12= 144\(d= \sqrt { 25+144}\)
Add and take the square root.
\(d=\sqrt{169} \\d= 13\)
The distance is 13.
PLEASE HELP ASAP. WILL GIVE BRAINLIEST!!!!!!
Using trigonometric ratio, the length of BE is 10 units, the value of sin B is 0.64 and cos B is 0.64 respectively
Trigonometric RatioThis is the ratio between the angles and sides of a right-angle triangle. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In this problem, we have that
tan B = 3/4NE = 7.51)
Using tangent of B
tan B = opposite / adjacent
tan B = NE / BE
3/4 = 7.5 / BE
BE = 7.5 / 0.75
BE = 10
2)
To find sin B, we need to calculate the hypothenuse of the triangle which we will use Pythagoras's theorem
NB² = BE² + NE²
NB² = 10² + 7.5²
NB = 12.5
sin B = NE / NB
sin B = 7.5 / 12.5
B = sin⁻¹ (7.5 / 12.5)
B = 0.64
3)
cos B = BE / NB
cos B = 10 / 12.5
B = cos⁻¹ (10/12.5)
B = 0.64
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What percentage of the global oceans are Marine Protected Areas
(MPA's) ?
a. 3.7% b. 15.2% c. 26.7% d. 90%
Option (c) 26.7% of the global oceans are Marine Protected Areas (MPAs). Marine Protected Areas (MPAs) are designated areas in the oceans that are set aside for conservation and management purposes.
They are intended to protect and preserve marine ecosystems, biodiversity, and various species. MPAs can have different levels of restrictions and regulations, depending on their specific objectives and conservation goals.
As of the current knowledge cutoff in September 2021, approximately 26.7% of the global oceans are designated as Marine Protected Areas. This means that a significant portion of the world's oceans has some form of protection and management in place to safeguard marine life and habitats. The establishment and expansion of MPAs have been driven by international agreements and initiatives, as well as national efforts by individual countries to conserve marine resources and promote sustainable practices.
It is worth noting that the percentage of MPAs in the global oceans may change over time as new areas are designated or existing MPAs are expanded. Therefore, it is important to refer to the most up-to-date data and reports from reputable sources to get the most accurate and current information on the extent of Marine Protected Areas worldwide.
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Question 1
During each second of braking, an automobile slows by about 10 miles per hour.
a. Plot the points (0, 60) and (6, 0). Draw a line through the points.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.8 to 10.4 with ticks spaced every 1 unit(s).
The vertical axis goes from -8 to 75.4 with ticks spaced every 10 unit(s).
From the information given, the linear function is modeled by:
\(y = -10x + 60, 0 \leq x \leq 6\)
It's graph is sketched at the end of this answer.A linear function is modeled by:
\(y = mx + b\)
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.In this problem, it goes through point (0,60), hence when \(x = 0, y = 60\), meaning that the y-intercept is \(b = 60\).
It also goes through point (6,0), and considering the slope is given by the change in y divided by change in x:
\(m = \frac{0 - 60}{6 - 0} = -10\)
Hence, the equation is:
\(y = -10x + 60\)
After the car stops, the velocity will not be negative, hence the function is valid only for x = 0 to x = 6, that is:
\(y = -10x + 60, 0 \leq x \leq 6\)
At the end, the graph is sketched.
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What is the probability of getting either blue or green on a spinner that is 3/10 greens and 1/5 blue?
Answer:
1/2 or 0.50
Step-by-step explanation:
To find the probability of getting either blue or green on a spinner, we must add both probabilities together.
\(\frac{3}{10}+\frac{1}{5} = ?\)
To make adding our two fractions easier, we need to make sure they have like denominators.
\(\frac{1*2}{5*2} =\frac{2}{10}\)
Now that the denominators of our probabilities are the same, we can add them together to get our answer.
\(\frac{3}{10} +\frac{2}{10}=\frac{5}{10}\)
\(\frac{5}{10} =\frac{1}{2}\) or \(0.50\)
A girl and a puppy are 850 feet apart when they start running towards each other. The girl runs at a speed of 8 feet per second, and the puppy runs at a speed of 7 feet per second. How soon will they meet?
Answer:
time taken = 850/(8+7) =56.6 second
Answer:
The answer is: 56 2/3
Step-by-step explanation:
First add up the amount of feet they run all together every second. 8+7=15 feet/second. You have to find the total amount of seconds for them to meet so you divide. 850 divided 15 equals 56 2/3 seconds. That's your answer.
How do you find trace of matrix?
The trace of a matrix is the sum of the diagonal elements. so in order to find the trace of a matrix we need to sum all diagonal elements.
In other words, it is the sum of the elements located on the main diagonal of a square matrix. The main diagonal of a square matrix is the sequence of elements from the top left to the bottom right.
The trace of a matrix can be useful in various matrix operations, such as finding the determinant and solving systems of linear equations.
The trace of a matrix can also be used to calculate the eigenvalues of a matrix. In linear algebra, the trace of a matrix is denoted as Tr(A) or tr(A), where A is the matrix. To find the trace of a matrix, simply add up the values along the main diagonal.
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Use the random number table below to carry out three repetitions of the frog's jumps. Mark directly on or above the table so that someone can follow what you did. Based upon the results of the simulation, what is the estimated probability that the frog jumps off the board within 60 seconds?
126 9927 19931 36089 74192 77567 88741 48409 41903
127 43909 99477 25330 64359 40085 16925 85117 36071
128 15689 14227 06565 14374 13352 49367 81982 87209
To estimate the probability that the frog jumps off the board within 60 seconds, we need to simulate the frog's jumps using the provided random number table.
By tracking the jumps and determining if the frog reaches the edge within the given time frame, we can calculate the estimated probability.
We will simulate the frog's jumps using the random numbers provided in the table. Each random number will represent a jump duration in seconds. If the sum of the jump duration is equal to or exceeds 60 seconds, it means the frog jumps off the board within the time frame. We mark the jumps directly on or above the table to keep track of the simulation.
Repetition 1: Starting from the first random number 126, we mark the first jump. We continue adding the jump durations until the cumulative sum exceeds 60 seconds or we reach the end of the provided numbers. Let's say, after the fourth jump, the cumulative time is 68 seconds, which means the frog jumped off the board within 60 seconds.
Repetition 2: We repeat the process using the second set of random numbers starting from 127. We mark the jumps and calculate the cumulative time. Suppose after the fifth jump, the cumulative time is 56 seconds. In this case, the frog did not jump off the board within 60 seconds.
Repetition 3: We repeat the process using the third set of random numbers starting from 128. We mark the jumps and calculate the cumulative time. Suppose after the third jump, the cumulative time is 42 seconds. Again, the frog did not jump off the board within 60 seconds.
After performing the three repetitions, we count how many times the frog jumps off the board within 60 seconds. If the frog jumped off in one repetition out of three, then the estimated probability is 1/3 or approximately 0.333. This indicates that there is a 33.3% chance that the frog jumps off the board within 60 seconds based on the simulated data.
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Celine surveyed 14 students at her school about their favorite professional sports. Of the students surveyed, 6 said tennis was their favorite sport. What is the experimental probability that the next student Celine talks to will pick tennis?
Answer:
3/7 (simplified)
Step-by-step explanation:
The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.
Help me out please :))
Answer:
The answer is C
Step-by-step explanation:
How important are the statistics, and what is the difference between descriptive and inferential statistics? 150 words to 250 words
Statistics is an important tool used in various disciplines such as science, business, social sciences, medicine, and many others. It is the study of data, its analysis, and interpretation. Statistics plays a crucial role in decision making as it provides a way of summarizing and understanding the data collected.
There are two main types of statistics, namely descriptive statistics and inferential statistics. Descriptive statistics is used to describe or summarize the data collected. It provides information about the central tendency, dispersion, and shape of the data.Inferential statistics is used to make inferences and generalizations about the population based on the sample data collected. It involves using statistical techniques to estimate population parameters based on the sample data collected.
Inferential statistics is useful in hypothesis testing, prediction, and decision making. It enables us to determine the probability of an event occurring and to make predictions based on the sample data collected.
In conclusion, statistics is an important tool used in various disciplines to analyze and interpret data. The two main types of statistics, descriptive and inferential, are used to describe and infer conclusions about the data collected.
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The ages of the people at two tables in a restaurant are shown in the chart. Which statement about the ranges of the data sets is true?
Answer:
Where is the data ?
Step-by-step explanation:
Need the data set
Brainlyst if u are right
Answer:
D. (2, 7)Step-by-step explanation:
The solution is the coordinates of the point (p,n) of intercept of lines described by given equations.
If
x
=
4
and
y
=
7
, evaluate the following expression:
20
−
(
3
y
−
4
x
)
Answer:
15
Step-by-step explanation:
given solution
x=4 20-(3y-4x) substitute
y=7 20-(3(7)-4(4))
20-(21-16)
20-5
answer =15
Complete the explanation of what happens when you round 6.992 to the nearest tenth.
Since there is a _______-
in the hundredths place, the number in the tenths place will
________
. Since 9 + 1 = 10, a
____
will go in the tenths place and the
______
will be added to the 6 in the ones place making the answer _______
Please answer quickly!
Answer:
1. 9
2. increase
3. 1
4. 1
5. 7
answer please and use step by step answers
The solution to the given inequality expression is 1 < x ≤ 2
Solving inequalityInequality are expression not separated by an equal sign. Given the inequality expression below:
2 < 3x-1 ≤ 5
This expressions can be separated into two inequalities;
2 < 3x-1
3x - 1 > 2
3x > 2 + 1
3x > 3
Divide both sides by 3
3x/3 > 3/3
x > 1
For the second part
3x-1 ≤ 5
3x ≤ 5 + 1
3x ≤ 6
x ≤ 6/3
x ≤ 2
Combine both solutions
x > 1 or 1 <x
x ≤ 2
1 < x ≤ 2
Hence the solution to the given inequality expression is 1 < x ≤ 2
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Which pair of angles I corresponding angles?
1. Angles R and V
2. Angles R and S
3. Angles R and U
4.Angles R and Y
Answer:
option a. angle r and v.
........
find the extreme values of f(x,y) = xy 2y2 x4 −y4 on the circle x2 y2 = 1
The extreme values of the function f(x, y) = xy(2y^2 x^4 − y^4) on the circle x^2 + y^2 = 1 are approximately ±0.235
To find the extreme values of the given function f(x, y) = xy(2y^2 x^4 − y^4) on the circle x^2 + y^2 = 1, we can use the method of Lagrange multipliers.
First, we write down the Lagrangian function L(x, y, λ) as follows:
L(x, y, λ) = xy(2y^2 x^4 − y^4) + λ(x^2 + y^2 − 1)
Then, we take the partial derivatives of L with respect to x, y, and λ and set them equal to zero:
∂L/∂x = y(2y^2 x^4 − y^4) + 2λx = 0
∂L/∂y = x(6y^3 x^4 − 4y^3) + 2λy = 0
∂L/∂λ = x^2 + y^2 − 1 = 0
Simplifying the first two equations, we get:
2y^5 x^4 − y^5 + 2λxy = 0
6y^4 x^4 − 4y^4 + 2λxy = 0
Dividing these equations, we obtain:
3x^4 = 2y^2
Substituting this back into the equation x^2 + y^2 = 1, we get:
3x^4 + x^2 = 1
This is a quartic equation in x^2. We can solve it using numerical methods to get the two possible values of x:
x ≈ ±0.681
y ≈ ±0.732
Plugging these values into the equation 3x^4 = 2y^2, we get:
y ≈ ±0.524
Now we can calculate the corresponding values of the function f(x, y) = xy(2y^2 x^4 − y^4):
f(x, y) ≈ ±0.235
Therefore, the extreme values of the function f(x, y) on the circle x^2 + y^2 = 1 are approximately ±0.235, and they are attained at the points (±0.681, ±0.732) and (±0.732, ±0.681).
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4. A cylindrical can has a
radius of 5.5 cm and a height
of 8 cm. What is the capacity
of the can?
Answer:
760.27 cm squared is the capacity
A P E X
what is the next number in the sequence? 4, 12, 20, 28, ?
A. 40
B. 48
C. 36
D. 32
Answer:
C. 36
Step-by-step explanation:
It is going up by 8 units each time.
For example it goes 4,12,20,28
4+8=12
12+8=20
20+8=28
So, add 8 to 28
28+8=36
Let us consider the following unordered set of numbers {23,16,29,4,1} What is the value of its empirical cumulative distribution function at X=20 ? (1) Choose one of the following answers a. 3/5
b.1/.5
c.i dont know
d,5/6
e.4/5
f. none of the proposed answer
The Empirical Cumulative Distribution Function (ECDF) is used to describe the distribution of a dataset by counting the proportion of observations that are less than or equal to each value of interest
. It is sometimes represented graphically as a step function
Let us consider the following unordered set of numbers {23,16,29,4,1} to calculate its empirical cumulative distribution function.
For the given unordered set of numbers,
arrange them in ascending order.{1, 4, 16, 23, 29}
Therefore, the values of X that are less than or equal to 20 are 1, 4, and 16.
Hence, the empirical cumulative distribution function for X=20 is 3/5 or a,
Therefore, where a is an , 3/5.
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How to add polynomials with different denominators.
Answer:
Must get common denominators (explained more in explanation)
Step-by-step explanation:
To add or subtract polynomials with unlike denominators, you first have to get common denominators, For example:
\(\frac{9}{q} +\frac{x-3}{q^{2} }\)
Multiply the first fraction on the left by \(q\) so we get:
\(\frac{9q}{q^{2} } +\frac{x-3}{q^{2} }\)
After this, you just have to add them
\(\frac{9q+x-3}{q^2}\)
Another example is:
\(\frac{x-3}{2} +\frac{x-4}{5}\)
We multiply the first fraction by 5 and the second fraction by 2 through distributive property
\(\frac{(5)x-3}{(5)2} +\frac{(2)x-4}{(2)5}\)
Multiply
\(\frac{5x-3}{10} +\frac{2x-4}{10}\)
Add
\(\frac{5x-3+2x-4}{10}\)
Simplify by combining like terms
\(\frac{7x-7}{10}\)
Hope this helps!
The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 3. Calculate the volume of the box.
Answer:
The volume of the box would be 6x³+33x²+54x+27.
Step-by-step explanation:
The new dimensions of the box would be (x+3), (2x+3), and (3x+3). Since the volume of a rectangular prism are calculated by multiplying the length, width, and depth, we can just multiply all three of these dimensions together to come up with the answer.
Using foil on the first two terms originally you get (x+3)×(2x+3)= 2x²+3x+6x+9 which can be simplified to 2x²+9x+9.
Then you multiply this equation by (3x+3). (2x²+9x+9)×(3x+3)= 6x³+6x²+27x²+27x+27x+27 which can be simplified to 6x³+33x²+54x+27.
Answer:
6x³+33x²+54x+27
Step-by-step explanation:
dimensions are now:
x+3, 2x+3, 3x+3
Volume
V=lwhV= (x+3)(2x+3)(3x+3)= 3(x+1)(x+3)(2x+3)= 3( x² + 4x+3)(2x+3)= 3(2x³+11x²+18x+9)=6x³+33x²+54x+27there are 100 birds at the zoo and 5 of them blue how many birds are blue
Answer:
Step-by-step explanation:
It would be 5 because it says in the question "5 of them are blue"
if the ratio of red to blue circles is 1:3 how many more red circles need to be added to make it a ratio of 3:1
Answer:
8Step-by-step explanation:
if the ratio of red to blue circles is 1:3 how many more red circles need to be added to make it a ratio of 3:1
add 8 red =
9/3 = 3/1
When using an indirect proof, we show that the negation of the desired conclusion leads to a contradiction
Answer:
True
Step-by-step explanation:
The application of an indirect proof is seen whenever we make assumptions about a given condition/statement. i.e. assuming what we are about to proof is false before proving it to be true
The indirect proof method involves some steps which are
Identify what you are trying to prove Negate the statement to be proven ( assuming the negation to be the true statement ) prove the assumption to be false then take the initial statement as a true statement.Is △DBE similar to △ABC? If so, which postulate or theorem proves these two triangles are similar?
△DBE is similar to △ABC by the SAS Similarity Theorem.
△DBE is similar to △ABC by the SSA Similarity Theorem.
△DBE is similar to △ABC by the SSS Similarity Theorem.
△DBE is not similar to △ABC.
Answer:
△DBE is similar to △ABC by the SAS Similarity Theorem.
Step-by-step explanation:
i took the test already
Help me on this please i don’t how to do this :’))