Answer:
\(y=-8x-4\)
Step-by-step explanation:
First, turn the equation into slope-intercept form.
Slope intercept form is \(y=mx+b\) .
Where m is the slope and b is the y-intercept
The equation would be \(y=-8x-4\) . Because m is -8 and b is -4
Which set(s) of numbers does -5/16 belong to choose all that apply.
Natural Numbers
Whole Numbers
Integers
Rational Numbers
Irrational Numbers
Answer:
natural numbers
Step-by-step explanation:
i say this cause this is a negative integers number 0 and positive integers which make it natural number
Identify the exponential function whose graph is shown below.
Answer:
The exponential function is
\(y = {2}^{x} \)
Suppose we have two random variables X and Y . The one with a
higher coefficient of variation exhibits higher variability Is true, false or uncertain?
The statement that the one with a higher coefficient of variation exhibits higher variability is true.
How to explain thisThe coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.
If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.
To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.
The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.
The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 am to 10pm Nertarell 40 C Cell Phone Calls Which statement most reasonably explains the hours when zero calls were received? 152 153pm AS3pm 558m 293m 39SI Medera turned the phone off while playing in a soccer game. Medera only receives Ocalls in clusters. B 0 DO Medera's phone can only receive 22 calls a Medera lost her phone for two hours.
The most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.
What is number?Number is an abstract concept used to count or measure something. It is present in many aspects of our lives, from counting the number of people in a room to measuring a distance between two points. Numbers are also used to represent information and to quantify facts. We use numbers in mathematics, science, engineering, business, and many other fields. Numbers are also used in everyday life, such as for telling time, counting items, and measuring distances.
The most reasonable explanation for why Medera received zero calls between the hours of 3pm and 5pm is that Medera turned the phone off while playing in a soccer game. This can be seen by looking at the histogram, which shows that there were zero calls received around this time, while Medera was likely playing in the game. The graph also shows that Medera usually receives a cluster of calls at certain times. This is also evidence that she turned her phone off while playing in the game, as it would be unlikely that she would receive no calls if her phone was still on. Additionally, it is unlikely that Medera's phone can only receive 22 calls a day, as this would be an unusually low limit. Furthermore, it is unlikely that Medera lost her phone for two hours, as this would not explain why there were zero calls received. Therefore, the most reasonable explanation for why Medera received zero calls between 3pm and 5pm is that she turned the phone off while playing in a soccer game.
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The hours when no calls were received were most likely when Madera turned off the phone while practising soccer.
How many calls did Medera receive?According to the question,
Madera, a middle school student, got phone calls from 10 a.m. to 10 p.m. on one Saturday.
From the scenarios presented, the one that would suggest this would be when Medera turned off his phone while playing soccer. This is because, her phone was turned off, it was not receiving any phone signal, which meant that no inbound calls were received during that time. Medara lost her phone for two hours, but even though she didn't have it with her, the phone was still on and connected to a network, indicating that calls were still streaming.
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I GIVEEE BRAINLILSTT
Answer:
(x, y) --> (x + 14, y + 8)
Step-by-step explanation:
Look at 1 original point and its corresponding translated point.
Let's look at F and F'.
To go from F to F', you need to go right in x 14 units.
Then you need to go up in y 8 units.
The translation rule is to add 14 to x and 8 to y.
(x, y) --> (x + 14, y + 8)
Answer:
fhddffhfdjdfgjmtgfjn
Step-by-step explanation:
fgngng ndgngfnngfngfn
In need of help!! Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation is accurate. A line's slope and y-intercept are expressed in the form y is mx + c, where m is the slope and c is the y-intercept.
What does a line's slope-intercept form look like?A line's slope and y-intercept are expressed in the form y = mx + c, where m is the slope and c is the y-intercept.
y = (3/2)x + 1 is the given equation for the line.
Add x = 0 to the above equation, y = (3/2)(0) + 1 y = 1, to determine the line's y-intercept.
Take note that the line's graph's y-intercept is also 1.
The line's graph includes points (2,4).
Put the coordinates of the location into the above equation to see if it matches the coordinates of (2,4) or not:
4 = (3/2)(2) + 1
4 =4
The equation is accurate.
Consequently, it can be claimed that the following equation reflects the graph.
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Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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The article "Determination of Most Representative Subdivision" gave data on various characteristics of subdivisions that could be used in deciding whether to provide electrical power using overhead lines or underground lines. Data on the variable x = total length of streets within a subdivision are as follows.
1280 5320 4390 2100 1240 3060 4770 1050 360 3330 3380 340 1000 960 1320 530 3350 540 3870 1250 2400 960 1120 2120 450 2250 2320 2400 3150 5700 5220 500 1850 2460 5850 2700 2730 1670 100 5770 3150 1890 510 240 396 1419 2109
(a) Fill in a stem-and-leaf display for these data using the thousands digit as the stem. Do not truncate numbers. For example, number 2380 has stem-"2" and leaf-"380". (Enter solutions from smallest to largest. Separate the numbers with spaces.)
0 100 240 340 360 396 396 450 500 510 530 540 960 960
(b) Fill in the table below. (Round your answer to four decimal places if needed.)
Class Interval Frequency Relative Frequency
0 - <1000
2000 - < 3000
4000 - < 5000
5000 - < 6000
(c)
What proportion of subdivisions has total length less than 2000?
What proportion of subdivisions has total length between 2000 and 4000? (Round your answer to four decimal places if needed.)
a) The data is not symmetric
b) The complete table:
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298c) Proportion of subdivisions has total length less than 2000 is 0.49
Proportion of the subdivisions has total length between 2000 and 4000 is 0.36
a) To draw the stem and leaf plot we take the thousandth place digit as stem and the leaf is obtained by remaining digits.
Stem Leaf
0 360, 340, 960, 530, 540, 960, 450, 500, 100, 510, 240, 3961 280, 240, 050, 000, 320, 250, 850, 670, 890, 4192 100, 400, 120, 250, 320, 400, 460, 700, 730, 1093 060, 330, 380, 350, 870, 150, 1504 390, 7705 320, 700, 220, 850, 770The data is not symmetric
b) To draw the histogram first we form the frequency distribution and the relative frequency using the formula
Relative Frequencies are given by
Relative frequency = Frequency / Total frequency
Class interval Frequency Relative Frequency
0-1000 12 0.255319151000-2000 11 0.234042552000-3000 10 0.212765963000-4000 7 0.148936174000-5000 2 0.04255319 5000-6000 5 0.10638298= 47
Histogram attached at end of solution
The histogram is approximately positively skewed.
c) Proportion of lengths less than 2000 = sum of relative frequency from 0 to 2000
= 0.26 + 0.23
Proportion of subdivisions has total length less than 2000 = 0.49
Proportion of length between 2000 and 4000 = sum of relative frequency between 2000 and 4000
= 0.21 + 0.15
Proportion of the subdivisions has total length between 2000 and 4000 = 0.36
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How to do this I rlly don't understand
Answer:don’t know how to answer
Step-by-step explanation: by the looks of it ur just connecting dots there are three dots you have to connect
A number less than six
The locker's combination code
consists of one letter and 3 digits.
How many possible different codes
exist, if the letter can be A or C and
must come first, and the digits can
be repeated?
The number of different codes as the letters A or C must come first and digits can be repeated is 2000
Permutation and Combination:Permutations and combinations are a subset of the study of finite, discrete structures that are known as combinatorics. Combinations include the selection of items without respect to order, whereas permutations are precise selections of elements within a set where the order of the elements is significant.
Here we have,
The locker combination code consists of one letter and 3 digits
Here we need to find the number of different codes If the letter A or C must come first and digits can be repeated.
Given that the first letters are A and C
Here number of ways that A and C can be chosen at first = 2
As we know Number of digits = 10 [ including 0, 0 to 9 ]
Number of arrangements that can be chosen from 10 digits
= 10 × 10 ×10 [ Since repetition is allowed ]
Therefore,
The possible number of different codes = 2 × 10 × 10 ×10 = 2000
Therefore
The number of different codes as the letters A or C must come first and digits can be repeated is 2000
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Coffee Roasters has five main markets for the distribution of their premium coffee at the location coordinates given in the table below. The monthly demand at each distribution center (in 000's of lbs.) is also provided. Coffee Roasters is interested in locating a distribution center to serve these markets.
Table 2
Markets
Coordinates Demand
(‘000s lbs.)
A (20, 15) 75
B (10, 12) 50
C (15, 10) 60
D (15, 20) 80
E (12, 12) 50
Use the information in Table 2 above. What are the x and y coordinates for the center of gravity?
The center of gravity of the distribution center is located at (14.84, 12.84)
What is the center of gravity?The center of gravity is a point at which the total weight of a body can be thought to be located for calculation purposes.
The coordinates of the five distribution centers using the x and y coordinates are;
A(20, 15) 75, B(10, 12) 50, C(15, 10) 60, D(15, 20) 80, E(12, 12) 50
The center of gravity is found using the formula;
\(x = \dfrac{m_1\cdot g\cdot x_1+ m_2\cdot g\cdot x_2 + m_3\cdot g\cdot x_3}{m_1\cdot g+ m_2\cdot g + m_3\cdot g}\)
\(y = \dfrac{m_1\cdot g\cdot y_1+ m_2\cdot g\cdot y_2 + m_3\cdot g\cdot y_3}{m_1\cdot g+ m_2\cdot g + m_3\cdot g}\)
Coordinates of the center of gravity of the distribution center is therefore;
\(x = \dfrac{75\times 20+ 50\times 10+ 60\times 15+80\times 15+50\times 12}{75+50+60+80+50} \approx 14.92\)
\(y = \dfrac{75\times 15+ 50\times 12+ 60\times 10+80\times 20+50\times 12}{75+50+60+80+50} \approx 12.84\)
The coordinates of the center of gravity of the distribution center is; (14.92, 12.840
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Which of the following conditions are sufficient to show that triangle ABC sim triangle QPR
Select all that apply.
A. m angle Q = 63
B. m angle R = 81
D. m angle P = 81
C. RP = 4.5
Answer:
C. RP = 4.5
Step-by-step explanation:
You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.
SimilaritySimilarity can be shown if all three sides are proportional, or if two angles are congruent.
The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.
C. RP = 4.5
__
Additional comment
The side ratios in the two triangles are ...
AB : BC : CA = 10 : 9 : 6
QP : PR : RQ = 5 : PR : 3
For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.
report error suppose the ratio of lev's age to mina's age is $1 : 2$ and the ratio of mina's age to naomi's age is $3 : 4$. if the sum of all three ages is between $30$ and $50$, then how old is mina? note: all ages are calculated to the nearest whole year.
As per the given ratio Mina's age is 12 years old.
Ratio in math is defined as shows how many times one number contains another.
Here we have given ratio information as written as
=> Lev's age : Mina's age = 1 : 2
And the ratio between is written as
=> Mina's age : Naomi's age = 3 : 4
Here we have given the condition that the sum of all three ages is written as,
=> Lev + Mina + Naomi = 30 to 50
Here let us consider Lev's age as L, Mina's age as M and Naomi's age as N
Then the ratio is calculated as,
=> L = 1/2M
=> N = 4/3M
And the sum of all value is written as
=> L + M + N = 30 to 50
When we apply the values on it, then we get,
1/2M + M + 4/3M = 30 to 50
When we simplify it by multiply all by 6, then we get
=> 3M + 6M + 8M = 180 to 300
=> 17M = 180 to 300
Therefore, here we have to find a number between 180 and 300 that divisible by 17 and 6.
So let us consider that that number is 204.
Then the value of M is calculated as,
=> 17M = 204
=> M = 12
Complete question:
Let us consider that suppose the ratio of lev's age to mina's age is 1 : 2 and the ratio of mina's age to Naomi's age is 3 : 4. if the sum of all three ages is between 30 and 50, then how old is mina?
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1/4x-1=3
how would i solve this
Answer:
X=16
Step-by-step explanation:
1/4x-1=3
1/4x=3+1
1/4x=4
(4)1/4x=4(4)
x=16
Answer: x = 16
After u shift the -1 to the other side it becomes positive so the u have to cross multiply the 4 the u get 16
Simplify the expression
Answer:
\(-\frac{4}{7} -\frac{8}{7} i\sqrt{5}\)
Step-by-step explanation:
To rationalize the denominator, we would have to multiply by the complex conjugate of 6 + 2i√5 which is 6 - 2i√5:
\(\frac{8-8i\sqrt{5} }{6+2i\sqrt{5} } *\frac{6-2i\sqrt{5} }{6-2i\sqrt{5} }\)
The denominator resembles the difference of squares:
6^2 - (2i√5)^2
36 + 20
56
Next we would need to multiply the numerator, but before, notice we can factor out 8 from 8 - 8i√5:
\(\frac{8(1-i\sqrt{5})(6-2i\sqrt{5}) }{56}\)
We can cancel that 8 with that 56 in the denominator:
\(\frac{6-2i\sqrt{5}-6i\sqrt{5}-10}{7}\)
This simplifies to:
\(\frac{-4-8i\sqrt{5} }{7}\)
which is the same as:
\(-\frac{4}{7} -\frac{8}{7} i\sqrt{5}\)
What is the decimal multiplier to decrease by 2.7%?
Multiplying by 1 keeps it the same. A number greater than 1 would be an increase and a number below 1 would be a decrease.
The decrease is 2.7% which is written as 0.027 as a decimal.
Subtract that from 1:
1 - 0.027 = 0.973
The multiplier would be 0.973
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4
brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left
after she chooses the color?
Answer: The answer is BBBBBBBBBBBBBBBBBBBBBBb
Step-by-step explanation:
I did the test 2 times got it right 2 times
Have a good day ur welcome
Answer:
B
Step-by-step explanation:
Select the correct answer. What is the solution to this equation? ( 1 4 ) x + 1 = 32 A. 3 2 B. - 2 C. - 7 2 D.
Answer: 2.214285714, probably B maybe? I'm not sure what D is.
Step-by-step explanation: (14)x + 1 = 32.
Your goal here is to get the x by itself so that you will know how much it is worth.
First step I would take is to subtract 1 from both sides to get rid of the one on the side with the x. What you do on one side is what you must do on the other side.
Now you have (14)x = 31
Next step I would take is divide both sides by 14 so that you can finally get the x by itself.
Now you have 2.214285714, so I would choose whatever answer that is closest to.
Write and solve an equation.
A drink and 7 pizzas cost $94.25. The cost of the drink was $1.50. What was the cost, c, of one pizza?
Answer:
13.25
Step-by-step explanation:
1. you have to subract the cost of the drink:
94.25-1.50=92.75
2.you have to divide to get the individual cost of pizzas by doing
92.75÷7=13.25
so therefore your answer is 13.25 per pizza
solve equation √10x-7 = √7x-1
Please help me solve these questions attached below
Answer:
6
Step-by-step explanation:
5x2 + 2x − 3) − (2x2 − 3x + 7) expressed as a trinomial
Answer:
13x-16
Step-by-step explanation:
I am assuming that you mean 5*(2 + 2x − 3) − (2*2 − 3x + 7).
That equals 10x-5+3x-11=13x-16
How tall is a pole if a 40 ft guy wire reaches from the top of that pole
to a point on the ground 19 ft from the bottom of the pole?
Joshua bought a new pencil for $2 and new crayons for a dollar he paid with a $5 bill how much change did Joshua get back after paying for his new supplies
Answer:
Joshua got $2.00 of change back.
Step-by-step explanation:
Answer:
5-(2+1)
5-3=2
$3 change
825 use each digit once. make the smallest 3digit number
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
Pls help me In this asap
Answer:
1
Step-by-step explanation:
Please see the attached picture for full solution.
☆5th line
Neumerator:
(a +b)²= a² +2ab +b²
Thus, (1 +x)²= 1² +2(1)(x) +x²
Denominator:
(a -b)²= a² -2ab +b²
Thus, (1 -x)²= 1² -2(1)(x) +x²
In the figure, m∠4=74°
and m∠3=43°
. Find m∠1
and m∠2
.
Answer:
Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:
m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)
m∠4 = m∠2 (since angles 2 and 4 are vertical angles)
Substituting m∠4 = m∠2 into the first equation, we get:
m∠2 + m∠3 = 180
Now we can solve for m∠2 and m∠3:
m∠3 = 43 (given)
m∠2 = 180 - m∠3 = 180 - 43 = 137
Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:
m∠1 = 180 - m∠2 = 180 - 137 = 43
Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.