Answer:
(-20,-20)
Step-by-step explanation:
You can draw it out on a graph to see that the point 20 units down (south) and 20 units left (west) is (-20,-20), or you can subtract 20 from both the x and y values. [(x-20),(y-20)]
m and n are inversely proportional and are
both positive.
The equation of proportionality is m = 3/n
a) Does m increase or decrease if n
increases?
b) Does n increase or decrease if m
increases?
Answer:
a) m decreases as n increases
b) n decreases as m increases
Step-by-step explanation:
Since m and n are positive and inversely proportional, by the law of invese proportionality with m = 3/n
a) as n increases, 3/n decreases so m decreases
b) we can rewrite the equation of proportionality as
n = 3/m so as m increases, n decreases
Actually inversely proportional between two quantities means if one of the quantities increases the other quantity must decrease
Which value for x is the solution to the following equation: 10 + 2x - 4 = 2x + 1 + x?
A. x = 3
B. x= 5
C. x= 6
D. x = 7
Answer:
x=5
Step-by-step explanation:
10+2x -4= 2x+1+x
6+2x=3x+1
6=x+1
5=x
When data are classified by the type of measurement scale, which is the strongest form of measurement?
The strongest form of measurement is the ratio scale, which allows for a true zero point and mathematical operations.
When data are classified by the type of measurement scale, the strongest form of measurement is the ratio scale. The ratio scale has all the properties of the other measurement scales (nominal, ordinal, and interval), along with a true zero point and the ability to perform mathematical operations such as addition, subtraction, multiplication, and division.
This allows for meaningful comparisons of the magnitude and ratios between measurements. In comparison, the other measurement scales have fewer properties and restrictions in terms of the operations that can be performed and the level of information they provide.
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pls help solve math problem!!! lots of points
Need answer I don’t have much time
1/3-5 ( that five is supposed to be a exponent)
if you have two fair cubic dice and roll them 10 times. what is the probability of getting a total of 6 points on the two dice in 5 times (meaning that out of the 10 rolls, exactly 5 rolls show that the points of the two dice add up to 6)?
The required probability of getting a total of 6 points on the two dice in 5 times (meaning that out of the 10 rolls, exactly 5 rolls show that the points of the two dice add up to 6) is 5/36.
Formula used:
The probability of an event happening = (Number of ways it can happen) / (Total number of outcomes)
The total number of possible outcomes when rolling a cubic die once = 6
Number of ways the dice will add up to 6 = 5
As we are rolling the two dice at once, the total number of outcomes = 6 * 6 = 36
Using the formula, we have:
Number of ways to get the dice adding up to 6 = 5
Number of ways to get the dice adding up to any number (36 possible outcomes) = 36
So, the probability of getting a total of 6 points on the two dice in 5 times is given by:
P = Number of ways to get the dice adding up to 6 / Total number of outcomes= 5/36
Therefore, In order to get 6 points on the two dice in five rolls (meaning out of the 10 rolls, exactly 5 roll shows that the points of the two dice add up to 6), the probability is 5/36.
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last year, tea off served a total of 3,560 cups of chamomile tea to its customers. this year, the coffee served 2,492 cups. what is the percent of decrease in the annual amount of chamomile tea served?
Answer:
30%
Step-by-step explanation:
% decrease = decrease/original value × 100
decrease = 3560-2492 = 1068
so it's 1068/3560× 100
= 30%
Answer:
Step-by-step explanation:
Decrease = 3560 - 2492 = 1068
\(Decrease percentage = \dfrac{1068}{3560}*100 \\\\\\ = 30\)
= 30%
what are all of real roots of the following polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12
The real roots of the polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12 are -1 and -3.
To find the real roots of the polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12, we can use the Rational Root Theorem.
In this case, the constant term is 12 and the leading coefficient is 1. Therefore, the possible rational roots are ±1, ±2, ±3, ±4, ±6, ±12.
We can use synthetic division to check if any of these are roots of the polynomial. Trying each of the possible roots, we find that -1 and -3 are roots of the polynomial. Using synthetic division with these roots, we get:
(x+1) | 1 3 5 15 4 12
| -1 -2 -3 -12 -16
|-------------------
1 2 3 12 -8 -4
and
(x+3) | 1 3 5 15 4 12
| 3 18 69 252 768
|-------------------
1 6 23 84 256 780
Therefore, the real roots of the polynomial f(x)=x^5+3x^4+5x^3+15x^2+4x+12 are -1 and -3.
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Write the equation of a line in point slope form that passes through the point (5,9) and
has a slope of -3
Answer:
Write the point slope form of the equation of the line that passes through the points (5,-9).
---
slope = m = (1--9)/(-6-5) = 10/-11 = -10/11
-------------------
Form:: y = mx + b
Solve for "b"::
-9 = (-10/11)5 + b
-------
Step-by-step explanation:
ur really pretty btw :p
Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample.
n = 83, p = 0.47: P(X ≥ 34)
Probability of getting at least 34 successes in a sample of 83 with a population proportion of 0.47 using the normal approximation is approximately 0.1056 or 10.56%.
To use the normal approximation, we need to check if the sample size and the population proportion satisfy the conditions of the Central Limit Theorem. In this case, since n*p = 39.01 and n*(1-p) = 43.99 are both greater than 10, we can assume that the sampling distribution of X is approximately normal.
To find P(X ≥ 34), we can use the normal distribution with mean\(µ = n*p = 39.01\) and standard deviation σ = sqrt(n*p*(1-p)) = 4.01. Then, we need to standardize the value of X using the formula z = (X - µ) / σ, which gives:
z = (34 - 39.01) / 4.01 = -1.25
Using a standard normal table or calculator, we can find the probability of z being less than -1.25, which is equivalent to the probability of X being greater than or equal to 34, as:
P(Z < -1.25) = 0.1056
Therefore, the probability of getting at least 34 successes in a sample of 83 with a population proportion of 0.47 using the normal approximation is approximately 0.1056 or 10.56%.
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a total of 210 people attended the opening night of a school musical. student tickets cost $3 each while general admission tickets cost $7.50 each. if total sales were $1296 how many of type of ticket were sold ?
Answer:
Step-by-step explanation:
total number of attendees=210
no.of students attendees=x
no.of general attendees=210-x
total sales =$1296
Student ticket=$3
General ticket = $7.50
3x+(210-x)7.50 =1296
3x -7.5X+1575=1296
-4.5x=-279
x=62
so no of student attendees =62
no.of general attendees=210-62 = 148
In a bakery that sells cookies, there are 4 oatmeal cookies for every 11 chocolate cookies. If there are 285 cookies altogether, how many oatmeal cookies are there? Pls explain how u solved
There are 76 oatmeal cookies:
4 + 11 = 15
285/15 = 19
19 × 4 = 76
Pls help
A box is in the shape of a trapezoidal prism. How many cubic centimeters of space are in the box?
To determine the number of cubic centimeters of space in the trapezoidal prism box, we need to use the formula V = (1/2)h(a+b)l, where V represents the volume of the box, h represents the height of the trapezoidal base, a and b represent the lengths of the top and bottom bases of the trapezoid, and l represents the length of the box. Once we have these measurements, we can substitute them into the formula to get the volume of the box in cubic centimeters.
The formula for the volume of a trapezoidal prism is V = (1/2)h(a+b)l. This formula combines the height of the trapezoid with the length of the prism to find the total volume of the box. By finding the measurements of the trapezoid's height, top base, bottom base, and the length of the prism, we can substitute them into the formula and solve for the box's volume in cubic centimeters.
In conclusion, to find the number of cubic centimeters of space in a trapezoidal prism box, we need to use the formula V = (1/2)h(a+b)l, where V represents the volume of the box, h represents the height of the trapezoidal base, a and b represent the lengths of the top and bottom bases of the trapezoid, and l represents the length of the box. Once we have these measurements, we can substitute them into the formula and solve for the box's volume in cubic centimeters.
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Represent this statement as an equation: Six more than twice a number is 20.
Answer:
2x+6=20
Step-by-step explanation:
Graph the function.
h(x) = -1/5x^2+2x
Answer:
Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated
Step-by-step explanation:
I am kinda confused on what to do, someone please help me
Answer:
that's letter b. bro
Step-by-step explanation:
pick me as brainless..pwease to need it
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6).
16x3 − 50x2 − 23x − 30
16x3 − 50x2 − 23x + 30
16x3 − 30x2 − 23x + 30
16x3 + 50x2 − 23x + 30
State the explicit formula for the sequence below and find the 8th term.
-4, 16, -64, 256,...
O an = -4(4)n-1; n = 8 is-262,144
O an = -4(-4)-1; n = 8 is 65,536
O an = 4(4)n-1; n = 8 is 65,536
O a = 4(-4)n-1; n = 8 is 261,144
6.25 pts
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The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
The given sequence is -4, 16, -64, 256,...
If we observe the sequence it is a geometric sequence
aₙ=a.rⁿ⁻¹
a is the first term and r is the common ratio
From the sequence the first term is -4 and common ratio is -4
aₙ=(-4).(-4)ⁿ⁻¹
Plug in the value n as 8
a₈=(-4).(-4)⁷
The value of minus four power seven is minus sixteen thousand three hundred eighty four
a₈=(-4)(-16384)
When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six
a₈= 65536
Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
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a caterer makes 3 extra sandwiches for every 12 sandwiches a customer orders. The caterer makes a total of 120 sandwiches for a customer. How many sandwiches did the customer order?
Answer:
8
Step-by-step explanation:
add 12+3 is 15, then divide 120 and 15 which is 8
How
do I show significant difference using superscript between these
values? (anova single factor test)
Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.
In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.
Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.
The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.
By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.
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Alina drew a model of a square pyramid. The dimensions of the model are shown in the diagram. pls don't answer with links
A: 2,880 cm3
B: 480 cm3
C: 320 cm3
D: 960 cm3
Answer:
C
Step-by-step explanation:
Volume of a pyramid = 1/3 base area * height
= 1/3 (8 * 10)(12)
who has a better chance of winning the super bowl 2023
The Kansas City Chiefs has a better chance of winning the super bowl 2023.
In 1967's Super Bowl I, Las Vegas sportsbooks gave the Green Bay Packers a 14-point advantage against the Kansas City Chiefs. Nevada was the only state up until 2018 to allow legal Super Bowl sports betting.
The reigning champion Kansas City Chiefs are the early favorited in the Super Bowl 58 odds, according to the top NFL betting companies. At BetMGM, the Super Bowl 58 odds for the Kansas City Chiefs are +600. You can evaluate the odds on a team you prefer to discover the best price because competing sportsbooks provide different odds for each team to win the Super Bowl.
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A triangle has vertices at coordinates P = (1, 3, -7), Q = (7, 7, 9), and R = (-3, -3, 1).
Compute the lengths of all three sides.
Side lengths are
Enter the lengths as a comma-separated list.
Compute all three angles (in radians).
Angles are
Enter the angles as a comma-separated list.
Side lengths:
The length of a side of a triangle can be calculated using the distance formula, which is:
distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
Using this formula, we can calculate the length of each side of the triangle:
- PQ: √((7 - 1)^2 + (7 - 3)^2 + (9 + 7)^2) = √(36 + 16 + 256) = √308 ≈ 17.55
- QR: √((-3 - 7)^2 + (-3 - 7)^2 + (1 - 9)^2) = √(100 + 100 + 64) = √264 ≈ 16.25
- RP: √((1 + 3)^2 + (3 + 3)^2 + (-7 - 1)^2) = √(16 + 36 + 64) = √116 ≈ 10.77
Therefore, the lengths of the sides are: 17.55, 16.25, and 10.77.
Angles:
To find the angles of a triangle, we can use the Law of Cosines, which states that:
c^2 = a^2 + b^2 - 2ab cos(C)
where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.
Using this formula, we can find each angle:
- Angle P: cos(P) = (17.55^2 + 10.77^2 - 16.25^2) / (2 * 17.55 * 10.77) = 0.3096, so P = arccos(0.3096) ≈ 1.260 radians
- Angle Q: cos(Q) = (16.25^2 + 10.77^2 - 17.55^2) / (2 * 16.25 * 10.77) = 0.0352, so Q = arccos(0.0352) ≈ 1.535 radians
- Angle R: cos(R) = (16.25^2 + 17.55^2 - 10.77^2) / (2 * 16.25 * 17.55) = 0.8342, so R = arccos(0.8342) ≈ 0.555 radians
Therefore, the angles of the triangle are: 1.260, 1.535, and 0.555 radians.
To calculate the side lengths of the triangle, we used the distance formula to find the distance between each pair of vertices. This formula calculates the distance between two points in three-dimensional space.
To calculate the angles of the triangle, we used the Law of Cosines, which relates the length of each side of a triangle to the cosine of its opposite angle. This formula allows us to find the angle opposite a given side, given the lengths of the other two sides.
The lengths of the sides of the triangle are 17.55, 16.25, and 10.77, and the angles are 1.260, 1.535, and 0.555 radians.
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Solve each equation:
5x=1
Answer:
5x=1
Step-by-step explanation:
51
Solve for x. Rolind to the nearest hundredth.
What is the answer to the following math question
Answer:
\(\frac{35}{18}\)
Step-by-step explanation:
my suggestion on solving problems like this is to multiply by a fraction that equals "1" made up of the L.C.M of the fraction denominators (2,4,5 = 20)
\(\frac{20}{20}\) ..... the denominators will clear out leaving \(\frac{15 - 50}{12-30} = \frac{-35}{-18}\)
= 35/18
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
Simplify \(\huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ \)\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ \)
The least common multiple of 4 and 2 is 4. Convert \(\sf\frac{3}{4} \)and \(\sf\frac{5}{2} \)to fractions with denominator 4.\( \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)
Because \(\sf\frac{3}{4} \)and \(\sf \frac{10}{4}\) have the same denominator, subtract them by subtracting their numerators.\( \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)
Subtract 10 from 3 to get -7.\( \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)
The least common multiple of 5 and 2 is 10. Convert \(\sf\frac{3}{5}\) and \(\sf \frac{3}{2}\) to fractions with denominator 10.\( \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ \)
Because \(\sf \frac{6}{10}\) and \(\sf \frac{15}{10}\) have the same denominator, subtract them by subtracting their numerators.\( \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ \)
Subtract 15 from 6 to get -9.\( \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ \)
Divide \(\sf-\frac{7}{4}\) by \(\sf-\frac{9}{10}\) by multiplying \(\sf-\frac{7}{4}\) by the reciprocal of \(\sf-\frac{9}{10}\).\( \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) \)
Multiply \(\sf-\frac{7}{4}\) by \(\sf-\frac{10}{9}\) by multiplying the numerator by the numerator and the denominator by the denominator.\( \huge \sf\frac{-7\left(-10\right)}{4\times 9} \)
Carry out the multiplications in the fraction \(\sf\frac{-7\left(-10\right)}{4\times 9}\).\( \huge \sf\frac{70}{36} \)
Reduce the fraction \(\sf\frac{70}{36}\) to its lowest terms by extracting and cancelling out 2.\( \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}\)
How did the Greek society treat Poseidon
Answer:
He was considered by Greeks to have a difficult argumentative personality.
Step-by-step explanation:
Please give the brainliest.
Jonah earns $12.50 per hour as a marketing intern. If he works for 4.5 hours, how many dollars does he earn?
Answer:
$56.25
Step-by-step explanation:
We have to multiply 12.50 x 4.5
$56.25 TRUST ME
geometry help please
Answer:100
Step-by-step explanation: