What is the slope of the line?
the slope of the line on the graph is 3 .
What is slope of a line ?Slope is calculated by dividing the "vertical change" by the "horizontal change" between any two distinct points on a line. The ratio can alternatively be expressed as a quotient, which yields the same result for any two separate locations on the same line ("rise over run"). A negative "rise" indicates a falling line. A road surveyor may judge that the line is useful, or it may show up in a diagram of a road or a roof as a description or a design. The steepness, incline, or grade of a line can be measured using the slope's absolute value. A slope with a larger absolute value denotes a steeper line.
Calculationto find the slope of the graph we will take two points which lies on the same line i.e. they must be collinear .
the points i m choosing is (-2,0) and (-1,3)
now for finding the slope we will use the formula
m = (y2-y1)/(x2-x1)
m = (3 - 0 ) / (-1+2)
m = 3 / 1
m = 3
so the slope of the line on the graph is 3 .
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ABCD is a rectangle. What is the value of x? A 56 m B 65 m Xm C
Answer:
ABCD is a rectangle. What is the value of x? A 56 m B 65 m Xm C
Plz help me ASAP TwT
Answer:
Angle CBA
Step-by-step explanation:
It would be CBA because Angle 1 is between those 3 points. Angle 1 is where B is so B would have to go in the middle.
Hope this helps :)
Answer choices:
y=2(4)^x
y=2x+4
y=4(2)^x
y=4x+2
help will be nice tyyy:))
Answer:
B
Step-by-step explanation:
y = total roses
x = years
y = 2x + 4
The perimeter of the triangle is 20.6 centimeters. What is the unknown side length?
Answer:
OK so a triangle has 3 sides and the perimeter around it is 20.6 cm to find the unknown for the length of a side it would be 20.6 ÷3 which is = to 6.86 to 2 decimal places
Step-by-step explanation:
20.6÷3
= 6.86 cm to 2 dp
 The above diagram shows 4 island countries in the Marina Ocean. Each inch on the map represents a distance of 200 miles. The capital of each island country is marked with a star.
A travel group leader takes a group of tourists from the capital of Green Island to the capital of Orange Island and back again. How long is the tour in miles?
A.
1,200 miles
B.
800 miles
C.
900 miles
D.
400 miles
Answer:
B.
Step-by-step explanation:
Each is 2,000 miles and I have calculated for the first try four inches and it had gotten me to 8,000. (since 2,000 miles x 4 inches) = 8,000.
-If this is wrong, I am sorry.
Please help me with this
Find an equation of the circle with center \( (1,2) \) that passes through \( (-3,3) \)
The equation of the circle is:(x - 1)² + (y - 2)² = 17
To find the equation of a circle with center at (1, 2) and passing through (-3, 3), we need to use the formula for the standard form of the equation of a circle.
A circle with center (h, k) and radius r is given by the equation:(x - h)² + (y - k)² = r²
Substituting the given values, we have:(x - 1)² + (y - 2)² = r²
We can now find the value of r using the fact that the circle passes through the point (-3, 3):
(x - 1)² + (y - 2)² = r²(-3 - 1)² + (3 - 2)² = r²16 + 1 = r²17 = r²
So the equation of the circle is:(x - 1)² + (y - 2)² = 17
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I know that you just multiply all of the number by 1/3 but how do I do the rest?
Answer:
Constant of proportionality: 1/3Equation: y = 1/3xStep-by-step explanation:
You want the constant of proportionality and the equation associated with a table showing y-values are 1/3 of x-values.
Constant of proportionalityThe equation describing a proportional relation can be written ...
y = kx
where k is called "the constant of proportionality."
This equation means that a value for y is found by multiplying the x-value by that constant.
Since you already know that y-values are found by multiplying x-values by 1/3, you already know that k = 1/3, and ...
the constant of proportionality is 1/3
Putting that value in the equation gives you ...
equation: y = 1/3x
Applications: Systems of Linear Equations i need help
Answer:
D. h = 4 + t, h = 6 + 0.5tStep-by-step explanation:
According to the question we set the following equations.
A birch tree is growing at the rate of t feet and is initially 4 feet tall:
h = 4 + tA larch tree is growing at the rate of 0.5t feet and is initially 6 feet tall:
h = 6 + 0.5tThe system we got is matching the option D
Suppose Joan has a fair four-sided die with sides that are numbered 1, 2, 3, and 4.
After she rolls it 20 times, how many times does she roll the number 3?
A. 3
B. 5
C. 6
D. It is impossible to tell.
To find the expected number of times Joan rolls a 3, we use the formula for mean of a binomial distribution.
The correct option is, option (C) 6.
The probability of rolling a number 3 on any given roll is 1/4
If Joan rolls the die 20 times, the number of times she rolls a 3 will follow a binomial distribution with n = 20 (number of trials) and p = 1/4 (probability of success).
The formula for the probability mass function of a binomial distribution is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the random variable representing the number of successes (the number of times Joan rolls a 3), k is the number of successes, n is the number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.
Using this formula, we can calculate the probability of rolling a 3 exactly k times out of 20 rolls:
P(X=k) = (20 choose k) * (1/4)^k * (3/4)^(20-k)
To find the expected number of times Joan rolls a 3, we can use the formula for the mean of a binomial distribution:
E(X) = n * p
In this case, E(X) = 20 * 1/4 = 5
Therefore, the expected number of times Joan rolls a 3 is 5.
Since the possible answers are integers, the closest answer to 5 is 6. Therefore, the answer is (C) 6.
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5 to the power of 2=25
Write this in logarthim form
60 points for taking
Answer:
log base 5(25)=2
Step-by-step explanation:
a^b=c is the same as log base a(c)=b so a=5 b=2 and c=25 so therefore the answer is log base 5(25)=2
Please help due today
Step-by-step explanation:
the awnser should be 27.71281 because it's the approximate value to 16√3
16. Choose the wrong statement: a) Every natural number is a whole number. b) Every integer is a rational number. c) Every rational number is an integer. d) Every rational number is a real number.
Answer:
C
Step-by-step explanation:
YES
If y = x + 5 and x = 3, then y = what?
y=8
Step-by-step explanation:
y=x+5 x=3
y=3+5
therefore
y=8
Choose the expression that is equal to 28.3. A. 33 + 27.2 – 6.8 + 24 – 3.1 B. 33 + 27.2 – (6.8 + 24 – 3.1) C. [33 + (27.2 – 6.8)] + 24 – 3.1 D. 33 + 27.2 – (6.8 + 24) – 3.1
can somebody help me with this problem ???
Answer:
r7
Step-by-step explanation:
Which is the solution to the inequality?
y+ 15 < 3
A. Y<-12
B. y > -12
C. y<18
D. y> 18
Answer:
A. y < -12
Step-by-step explanation:
Step 1: Write inequality
y + 15 < 3
Step 2: Solve for y
Subtract 15 on both sides: y < -12simplify surds √50+√√72-√√128
Answer:
3\(\sqrt{2}\)
Step-by-step explanation:
Using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
Simplify the given radicals
\(\sqrt{50}\)
= \(\sqrt{25(2)}\)
= \(\sqrt{25}\) × \(\sqrt{2}\)
= 5\(\sqrt{2}\)
------------------------
\(\sqrt{72}\)
= \(\sqrt{36(2)}\)
= \(\sqrt{36}\) × \(\sqrt{2}\)
= 6\(\sqrt{2}\)
-----------------------
\(\sqrt{128}\)
= \(\sqrt{64(2)}\)
= \(\sqrt{64}\) × \(\sqrt{2}\)
= 8\(\sqrt{2}\)
Then
\(\sqrt{50}\) + \(\sqrt{72}\) - \(\sqrt{128}\)
= 5\(\sqrt{2}\) + 6\(\sqrt{2}\) - 8\(\sqrt{2}\)
= 11\(\sqrt{2}\) - 8\(\sqrt{2}\)
= 3\(\sqrt{2}\)
Solve 7+7a=7(2-b) for b
Answer:
b = 1 - a
Step-by-step explanation:
Given
7 + 7a = 7(2 - b) ← divide both sides by 7
1 + a = 2 - b ( subtract 2 from both sides )
- 1 + a = - b ( multiply through by - 1 )
1 - a = b
Answer:
\(b = (a - 1)\)
Step-by-step explanation:
Question\(7 + 7a = 7(2 - b)\)
First Solve the brackets
\(7 + 7a = 7(2 - b) \\ 7 + 7a = 14 - 7b\)
Then Make the b as the Subject
\(7 + 7a = 14 - 7b \\7 + 7a - 14 = 7b \\ 7a - 7 = 7b \\ 7(a - 1) = 7b \\ \frac{7(a - 1)}{7} = \frac{7b}{7} \\ a - 1 = b\)
hope this helps you.
Have a nice day!
Which of the following tools is used to capture data packets over time(continuously or overnight)?PuTTYTraffic AnalyzerWiresharkNetWitness Investigator
Wireshark is the tool used to capture data packets over time, either continuously or overnight.
Wireshark is a powerful network protocol analyzer that allows you to capture and examine data packets flowing through a network. It provides a comprehensive set of features for capturing, analyzing, and interpreting network traffic.
With Wireshark, you can capture packets from various network interfaces and save them to a capture file for later analysis. It supports capturing packets in real-time, allowing you to monitor network activity as it happens.
Wireshark offers detailed packet-level inspection, allowing you to examine packet headers, payloads, protocols, and other relevant information.
Furthermore, Wireshark supports numerous protocols and provides protocol-specific decoders to interpret and analyze different network protocols. It also offers advanced features like packet coloring, statistical analysis, packet comparison, and the ability to export captured data for further analysis or sharing with others.
Overall, Wireshark is widely used by network administrators, security professionals, and developers to diagnose network issues, troubleshoot problems, analyze network performance, and investigate security incidents by capturing and analyzing data packets over time.
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7. A stereo speaker in the shape of a triangular pyramid
has a height of 12 inches. The area of the base of the
speaker is 22 square inches.
What is the volume of the speaker in cubic inches?
Answer:
88
Step-by-step explanation:
memorize this formula:
V = 1/3AH
a is base area
h is height
so V = 1/3 *22*12= 88
Solve the proportion x+1/2=21/14 x=
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
x+1/2=21/14
x = ?
Step 02:
\(\frac{x+1}{2}=\frac{21}{14}\)14 (x + 1 ) = 2 * 21
14x + 14 = 42
14x = 42 - 14
x = 28 / 14
x = 2
The answer is:
The value of x is 2
Choose the expression that represents a cubic expression. −7x 14 7x2 − 5x 6 8x3 − 7x2 − 6x 5 9x4 8x3 − 6x2 − 2x 11.
Answer:
C. 8X3 - 7X2 - 6X+5
Step-by-step explanation:
hope that helps!
Answer:
C. 8X3 - 7X2 - 6X+5
Step-by-step explanation:
suppose an economic examination has 3 true or false questions and a passing grade is obtained with 2 or more correct answers. a student answered all the 3 questions by flipping a fair coin and answering true if the coin shows a head and false if it shows a tail. a) write down the sample space. using the classical interpretation of probability, what is the chance the student will pass the exam?
Answer:
Sample space (in terms of answer choices, not coin outcome with F = false, T = True)
{ FFF, FFT, FTF, FTT, TFF, TFT, TTF, TTT}
P(passing exam) = P(2 or more True answers) = 4/8 = 1/2 = 50%
Step-by-step explanation:
Sample space (in terms of answer choices, not coin outcome with F = false, T = True)
{ FFF, FFT, FTF, FTT, TFF, TFT, TTF, TTT}
There are 2³ = 8 elements in the sample space
These correspond to the sample space for coin toss (H = heads, T = tails)
{ TTT, TTH, THT, THH, HTT, HTH, HHT, HHH}
There are 4 outcomes where 2 or more questions are marked True
{ FTT , TFT , TTF, TTT}
Total of 4 elements
This corresponds to 2 or more heads:
{THH, HTH. HHT, HHH}
P(passing exam) = P(2 or more True answers) = 4/8 = 1/2 = 50%
Alyssa invests $2600 in a savings account at 9% simple interest. How much does she have in her account after 3 years?
Answer:
$3,302
Step-by-step explanation:
9% x 3 (years) = 27%
$2600 x 27% = 702
$2600 + 702 = $3302
Rewrite the following as a single exponent using product rule:
(-7)^4 x (-7)^6 =
Answer:
\( (-7)^{10} \)
Step-by-step explanation:
When you multiply equal bases, add the exponents.
\( (-7)^4 \times (-7)^6 = (-7)^{4 + 6} = (-7)^{10} \)
what’s the answer for log12(1/2/8w)?
Below are the jorsey numbers of 11 players randomly solected from a football tearn Find the range, variance, and standard deviation for the given sample data What do the results teli us? 33747065564739725794150 Range = (Round to one decimal place as needed) Sample standard deviation = (Round to one decimal place as needed) Sample variance = (Round to one decimal place as needed) What do the results tell us? A. Jersey numbers on a football team do not vary as much as expected. B. The sample standard deviation is too large in companson to the range. C. Jersey numbers on a footbas team vary much mofe than expected D. Jersey numbers ate nominal data that are just replacemonts for names, so the resulling statistics are meaningiess:
The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.
To find the range, we need to subtract the smallest number from the largest number in the sample. So, the range is:
94 - 15 = 79
To find the sample variance and standard deviation, we first need to find the mean of the sample. We can do this by adding up all the numbers and dividing by the total number of players:
(33 + 74 + 70 + 65 + 56 + 47 + 39 + 72 + 57 + 94 + 15) / 11 = 54.18
Next, we need to find the difference between each number and the mean, square them, and add them up. This gives us the sum of squares:
[(33 - 54.18)^2 + (74 - 54.18)^2 + (70 - 54.18)^2 + (65 - 54.18)^2 + (56 - 54.18)^2 + (47 - 54.18)^2 + (39 - 54.18)^2 + (72 - 54.18)^2 + (57 - 54.18)^2 + (94 - 54.18)^2 + (15 - 54.18)^2] = 15864.4
The sample variance is then calculated by dividing the sum of squares by the total number of players minus one:
15864.4 / 10 = 1586.44
Finally, we can calculate the sample standard deviation by taking the square root of the variance:
√1586.44 ≈ 39.83
The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.
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Please help me please
Answer:
A. 34°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentInverse TrigStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = x
Opposite leg AC = 24
Adjacent leg CB = 35
Step 2: Solve for x
Substitute in variables [Tangent]: \(\displaystyle tanx^\circ = \frac{24}{35}\)Inverse Trig [Tangent]: \(\displaystyle x^\circ = tan^{-1}(\frac{24}{35})\)Evaluate: \(\displaystyle x = 34.439^\circ\)Round: \(\displaystyle x \approx 34^\circ\)HELPPP!!!
A circular kitchen table has a diameter of 80 inches. How much fabric is needed to cover the table top? Use 3.14 for pi.
25.5
Step-by-step explanation:
The way to do this is:
80 * 3.14 equals to roughly 25.5