Answers
Answer: y = -x - 8
Step-by-step explanation:
Slope-intercept form is given in y = mx + b where m is the slope and b is the y-intercept.
We can see our b, the y-intercept, is -8 since the line intercepts the y-axis at (0, -8).
For our slope, we can see that the line moves down one and right one for a slope of 1/1=1. Since it's moving downwards, the slope is -1.
Now, we will write the full equation:
y = -x - 8
Related Questions
Simplify the following Expression. 3 √ − 250 3 √-4 =
Answers
Answer:
10
Step-by-step explanation:
\( \huge \sqrt[3]{ - 250} \sqrt[3]{ - 4} \\ \\ \huge= \sqrt[3]{ (- 250) \times ( - 4)} \\ \\ \huge= \sqrt[3]{ 1000} \\ \\ \huge= \sqrt[3]{ {10}^{3} } \\ \\ \huge= 10\)
calculate the following 2+2
Answers
Answer:4
Step-by-step explanation:
2+2 is 4
Describe by a write up on how models can be used to express numbers of different bases to base 2 and base 5
Answers
Conversion models can be used to express numbers of different bases to base-2 and base-5. To convert a number from base-10 to base-2, we use division-by-2, and for base-5, we divide by 5. To convert between bases, we convert to base-10 first and then to the desired base. for example 25 in binary is 11001, 45 in base-5 is 104, 89 to base-2 is 1011001.
In computer science and mathematics, binary (base-2) and quinary (base-5) numbering systems are commonly used to represent numbers. However, it is often necessary to express numbers in other bases as well. This is where conversion models come into play.
To convert a number from base-10 to base-2, we can use the division-by-2 method.
The process involves repeatedly dividing the decimal number by 2 and keeping track of the remainders until the quotient becomes 0. We then write the remainders in reverse order to get the binary representation of the number.
For example, to convert the number 25 to binary
25 / 2 = 12 R1
12 / 2 = 6 R0
6 / 2 = 3 R0
3 / 2 = 1 R1
1 / 2 = 0 R1
Therefore, 25 in binary is 11001.
To convert a number from base-10 to base-5, we can use a similar method. Instead of dividing by 2, we divide by 5 and keep track of the remainders. For example, to convert the number 45 to base-5
45 / 5 = 9 R0
9 / 5 = 1 R4
1 / 5 = 0 R1
Therefore, 45 in base-5 is 104.
We can also convert a number from base-2 to base-5 or vice versa. To convert a number from base-2 to base-5, we can first convert it to base-10 and then to base-5. For example, to convert the binary number 101110 to base-5
1*2⁵ + 0*2⁴ + 1*2³ + 1*2² + 1*2¹ + 0*2⁰ = 46
46 to base-5 is 141
To convert a number from base-5 to base-2, we can first convert it to base-10 and then to base-2. For example, to convert the quinary number 324 to base-2
3*5² + 2*5¹ + 4*5⁰ = 89
89 to base-2 is 1011001
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Example 1: Every Number Has an Opposite
Locate the number 8 and its opposite on the number line. Explain how they are related to zero.
-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Exercises 2-3
2. Locate and label the opposites of the numbers on the number line.
9
-2
4
a.
b.
C.
8
Answers
Answer:
To locate the number 8 and its opposite on the number line, we can use the given number line:
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑ ↑
So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.
Now, let's address exercises 2-3:
a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
So, the opposites of the given numbers are:
9 → -9
-2 → 2
4 → -4
They are related to zero as equal distances on opposite sides of zero on the number line.
Step-by-step explanation:
The probability of selecting 3 female employees and 7 male employees to win a promotional trip a company with 10 female and 50 male employees would best be modeled with the _______.
Answers
Answer:
The best model is hypergeometric distribution.
Step-by-step explanation:
The probability would be best modeled with hypergeometric distribution.
Hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws, without replacement, which is often employed in random sampling for statistical quality control.
The hypergeometric distribution differs from the binomial distribution in the lack of replacements.
Thus, the best model is hypergeometric distribution.
2 log5 x=log5 4+log5 9
Answers
The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.
To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.
Using the properties of logarithms, we can rewrite the equation as follows:
2 log₅ x = log₅ (4 * 9)
Next, we simplify the right side:
2 log₅ x = log₅ (36)
Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:
x² = 36
Taking the square root of both sides, we get:
x = √36
Since the square root of 36 can be either positive or negative, we have two possible solutions:
x = 6
It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.
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If x :4 :: 5:2, what is the value of x?
Answers
\( \frac{x}{4} = \frac{5}{2} \\ \)
\(2x = 20\)
\(x = \frac{20}{2} \\ \)
\(x = 10\)
hence...the value of x is 10..
hope it helps..☃️❄
ill mark brainlist plss help
Answers
15x8=120
perimeter is where u add everything up
15+15+8+8=46
List the next three numbers for the sequence: 7, 7 /2 , 7 /4 , 7/ 8
Answers
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
PLEASE GIVE BRAINLIEST OR AT LEAST A THANKS!
Answer:
7/16, 7/32, 7/64
Step-by-step explanation:
7, 7 /2 , 7/ 4 , 7/ 8
We multiply by 1/2 each time
7/8 *1/2 = 7/16
7/16*1/2 = 7/32
7/32 *1/2 = 7/64
If F= 2x²+ +6x - 5 G=3x² + 4) and C=G-3F, find the value of C as a trinomial
Answers
Please Help I Need To Answer This Quick!!....
Answers
Answer:
A+B+C=180°( BY SUM OF ALL ANGLE IS 180°)
70°+40°+C=180°
110°+C=180°
C=180°-110°
C=70°
C+X=180°(BY LINEAR PAIR)
70°+X=180°
X=180°-110°
X=70°
SOMEONE PLEASE PLEASE HELP!!!!
Answers
Answer:
49\(\sqrt{21}\)
Step-by-step explanation:
You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well
Answer: 49 √3 or 84.87049
Step-by-step explanation:
Brandon loves collecting Lego sets on his birthday he received 4 different Lego sets that he can assemble on the package he noticed that each that contains 67 Lego pieces how many Lego pieces and Brendan receive on his birthday. Please h3lp ASAP is it 67 times 4?
Answers
Answer:
268
Step-by-step explanation:
4 times 67
The hourly median power (in decibels) of received radio signals transmitted between two cities
follows a lognormal distribution with parameter values u = 3.5 and o2 = 1.22.
(5 points) What is the 90th percentile of this distribution?
(5 points) What is the probability that received power for one of these radio signals is
less than 150 decibels?
(5 point) Consider a random sample of 10 radio signals. What is the probability that for
6 of these signals, the received power is less than 150 decibels?
Answers
Using the lognormal and the binomial distributions, it is found that:
The 90th percentile of this distribution is of 136 dB.There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.In a lognormal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{\ln{X} - \mu}{\sigma}\)
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.In this problem:
The mean is of \(\mu = 3.5\).The standard deviation is of \(\sigma = \sqrt{1.22}\)Question 1:
The 90th percentile is X when Z has a p-value of 0.9, hence X when Z = 1.28.
\(Z = \frac{\ln{X} - \mu}{\sigma}\)
\(1.28 = \frac{\ln{X} - 3.5}{\sqrt{1.22}}\)
\(\ln{X} - 3.5 = 1.28\sqrt{1.22}\)
\(\ln{X} = 1.28\sqrt{1.22} + 3.5\)
\(e^{\ln{X}} = e^{1.28\sqrt{1.22} + 3.5}\)
\(X = 136\)
The 90th percentile of this distribution is of 136 dB.
Question 2:
The probability is the p-value of Z when X = 150, hence:
\(Z = \frac{\ln{X} - \mu}{\sigma}\)
\(Z = \frac{\ln{150} - 3.5}{\sqrt{1.22}}\)
\(Z = 1.37\)
\(Z = 1.37\) has a p-value of 0.9147.
There is a 0.9147 = 91.47% probability that received power for one of these radio signals is less than 150 decibels.
Question 3:
10 signals, hence, the binomial distribution is used.
Binomial probability distribution
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.For this problem, we have that \(p = 0.9147, n = 10\), and we want to find P(X = 6), then:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 6) = C_{10,6}.(0.9147)^{6}.(0.0853)^{4} = 0.0065\)
There is a 0.0065 = 0.65% probability that for 6 of these signals, the received power is less than 150 decibels.
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A basketball player took 20 shots from the court during a game, and made 35% of them. How many shots did he make
Answers
Answer:
7
Step-by-step explanation:
35% of 20 is seven
Consider a triangle ABC like the one below. Suppose that A = 27°, b=42, and c= 72. (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
Continue
Breaking
news
B
Search
B = ₁₁ c = 0₁₁a = 0
a
□ OD
X
No
solution
Ś
© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use
99+
Answers
The solution to the triangle is: a ≈ 22.4, b = 4 , c ≈ 77.2 ,A = 27° ,B ≈ 42.5°
C ≈ 110.5° we got the answer by using law of sine
what is law of sine?
The Law of Sines, also known as the Sine Rule, is a mathematical formula used in trigonometry to relate the sides and angles of a non-right-angled triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides of the triangle.
In the given question,
Using the law of sines and the fact that the angles of a triangle sum up to 180 degrees, we can solve for the missing parts of the triangle:
sin(A)/a = sin(B)/b = sin(C)/c
sin(27)/a = sin(B)/42 = sin(C)/72
We can use the first equation to solve for a:
a = b(sin(A)/sin(B)) = 42(sin(27)/sin(B)) ≈ 22.4161
Next, we can use the second equation to solve for sin(B):
sin(B) = b(sin(A)/a) = 42(sin(27)/a) ≈ 0.6822
Taking the inverse sine, we find that B ≈ 42.4827 degrees.
Now we can use the fact that the angles of a triangle sum up to 180 degrees to solve for C:
C = 180 - A - B ≈ 110.5173 degrees.
Finally, we can use the law of sines again to solve for the remaining side, c:
c = a(sin(C)/sin(A)) = 22.4161(sin(110.5173)/sin(27)) ≈ 77.2352
Therefore, the solution to the triangle is:
a ≈ 22.4
b = 42
c ≈ 77.2
A = 27°
B ≈ 42.5°
C ≈ 110.5°
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please please help last text then finals l give brainliest
Answers
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Find the ratio of : a) 20m 70cm : 30cm
Answers
Answer:
20 cm:3 m=
3 m
20 cm
=
300
20
=
15
1
[∵1 m=100 cm]
Step-by-step explanation:
Answer:
firstly convert cm into meter like.
30cm = 0.30m
then put
0.30. upon 20 m
What point is collinear with points P and R?
Answers
Answer:
W
Step-by-step explanation:
W lies in the same line as P and R or they are co-in-line with each other.
Consider the line 5x+2y=−4. What is the equation of the line parallel to the given line that passes through the point (−2, 6) in slope-intercept form? Enter your answer by filling in the boxes to complete the equation.
Answers
Answer:
y = -5/2x +1
Step-by-step explanation:
You want the slope-intercept form equation for the line through the point (-2, 6) that is parallel to 5x +2y = -4.
Parallel lineThe equation of a parallel line can be the same as the given equation, except for the constant. The new constant can be found by substituting the given point coordinates:
5(-2) +2(6) = c
-10 +12 = c
2 = c
Now we know the equation of the parallel line can be written as ...
5x +2y = 2
Slope-intercept formSolving for y puts this in slope-intercept form:
2y = -5x +2 . . . . . . . . subtract 5x
y = -5/2x +1 . . . . . . . . divide by 2
We don't know what your boxes look like, but we can separate the numbers to make it look like this:
\(\boxed{y=\dfrac{-5}{2}x+1}\)
#95141404393
Identify the common difference of the sequence: -8, -1, 6, 13,...
Please do not post suggestions to go to random sites for the answers. I'm on a timed test. Don't waste my time.
A. -6
B. -7
C. 7
D. 6
Answers
Answer:
c positive seven because to find the common difference we have subtract -1from-8 that's I (T2-T2)
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answers
Answer:
1. Understand your problem
2. Gather your resources
3. Come to an answer
4. Check your answer and present the solution
Step-by-step explanation:
If two lines intersect to form a right angle, then they are
..(perpendicular, parallel, obtuse
Answers
WILL MARK BRANILIEST PLZ HELP
Type the correct answer in the box. Use numerals instead of words, and round your answer to the nearest whole number.
Meghan flipped a quarter and rolled a standard six-sided die.
The probability that the coin landed on heads and the die landed on an even number is __%.
Answers
Answer:
25%
Step-by-step explanation:
Multiply the two probabilities.
P(heads)*P(even) = 1/2*1/2 = 1/4
1/4 = 25%
The distribution of monthly charges for cellphone plans in the United States is approximately normal with a mean of $62 and a standard deviation of $18. What percentage of plans have charges that are less than $83.60?
Answers
About 88.49% of cellphone plans have charges that are less than $83.60.
How to determine the percentage of plans have charges that are less than $83.60?To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.
z = (x – μ) / σ
where x = 83.60, mean, μ = 62 and standard deviation, σ = 18
Thus, the z-score of $83.60 is:
z = (83.60 - 62) / 18 = 1.2
Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).
Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.
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Which of the following r-values indicates the strongest correlation? r-value = 0.73 r-value = 0.73 r-value = 0.99 r-value = 0.99 r-value = - 0.85 r-value = - 0.85 r-value = - 0.17
Answers
Answer:
\(r-value = 0.99\)
Step-by-step explanation:
Given
The list of options
Required
Which represents the strongest correlation.
When \(r-value > 0.7\), it is considered to be strong.
Compare this condition with the given options, we're left with:
\(r-value = 0.73\)
\(r-value = 0.99\)
The above r-values show strong correlation.
However
\(r-value = 0.99\) is stronger
because \(0.99 > 0.73\)
Hence;
\(r-value = 0.99\) answers the question
if you saved your 76$ monthly allowance for 3 years, how much money would you have?
Answers
Dana is making a seating chart for an awards banquet. There are 120 people coming to the banquet.If 8 guests can be seated at each table, how many tables will be needed for seating for the awards banquet?
Answers
Explanation: 120/8 will give you 15 tables.
Solve the following quadratic inequality x^2+x-6>0
Answers
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
PWSB has a deal where they give you $100.00 to start a savings account. In addition, you decide toput money in the bank for 5 weeks and finish with $50.00.
a. Assuming you save the same amount every week, write an equation where y is the total
money in the savings account and x represents the number of weeksyou saved money.
b. What do the slope and y-intercept represent in the context of the problem?
Someone please help me with this it is a linear equation I think and the formula is y=Mx+b
Answers
y = $100.00 - $10.00x is the equation for the total amount of money in the savings account after x weeks.
The y-intercept represents the initial deposit of $100.00 and the slope is -10
How to find the expressiona. Let's call the amount of money saved each week "s" and
let's call the total amount of money in the savings account after "x" weeks "y".
Since the amount saved each week is the same, we can express the total amount of money in the savings account as:
y = $100.00 + sx
We know that at the end of the 5th week, the total amount in the savings account is $50.00. So we can set up the following equation:
$50.00 = $100.00 + 5s
solving for s:
$50.00 - $100.00 = 5s
-$50.00 = 5s
-10 = s
So the equation for the total amount of money in the savings account after x weeks is:
y = $100.00 - $10.00x
b. In the context of this problem, the slope represents the amount of money that is saved each week.
In this case, the slope is -10, meaning that $10.00 is saved each week. The y-intercept represents the initial deposit of $100.00.
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