Can you create three different integer problems
that are equal to -15?
1. - 15 =
2. - 15 =
3. - 15 =
Answers
2. -12+2-5
3. 2+2-19
Related Questions
A model airplane is traveling at a speed of 59 meters per second at a bearing of 214°. While
flying, the model plane comes across wind traveling in the direction N 17° W with a velocity of
21 meters per second. Find the resultant speed and direction (as a quadrant bearing) of the
model airplane.
Answers
In linear equation, The resultant speed is 48.27m/s and the bearing is 235.65 degrees. The vertical component is given by vsinθ = 32sin34° = 17.89 miles per hour.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Equations with variables of power 1 are referred to be linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
OP = 59m/s represents the plane that has a bearing of 214 degrees.
PW = 21m/s represents the wind that is blowing at an angle of N14W.
OW = represents the resultant vector.
The angle that OP makes with west direction = 270-214=56 degrees. Therefore the angle that OP makes with the vertical is 90-56=44 degrees
In the ΔOPW, ∠WPO = 14+44=58 degrees.
Using law of cosines, we can find the magnitude of OW
Using law of sines we can calculate ∠WOP
21/Sin∠WOP = 48.27/sin58
Therefore sin∠WOP = 21.SIN58/48.27 = = 0.368895
Therefore ∠WOP = sin-1 (0.368895) = 21.65 degrees
Therefore the bearing of OW is 214 + 21.65 = 235.65 degrees.
The resultant speed is 48.27m/s and the bearing is 235.65 degrees.
The horizontal component is given by vcosθ = 32cos34° = 26.53 miles per hour
The vertical component is given by vsinθ = 32sin34° = 17.89 miles per hour.
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company a sells 60 pens for $15.00, while company B sells the same type of pens 40 for $8.00. which company's price per pen is cheaper, and what is that price?
Answers
Answer: Im pretty sure its B
Step-by-step explanation:
So b it’s with 3 less expensive then A
The interquartile range is used as a measure of variability to overcome what difficulty of the range?Choose one answer.a. the range is influenced too much by extreme valuesb. the sum of the range variances is zeroc. the range is difficult to computed. the range is negative
Answers
The interquartile range is a useful tool for measuring variability in a set of data because it overcomes the difficulty of the range being influenced too much by extreme values
The interquartile range is a measure of variability that is commonly used in statistics to describe the spread of a set of data. It is particularly useful because it overcomes the difficulty of the range being influenced too much by extreme values.
In mathematical terms, the interquartile range is defined as the difference between the upper quartile (Q3) and the lower quartile (Q1).
The upper quartile represents the 75th percentile of the data and the lower quartile represents the 25th percentile of the data.
This means that 25% of the data falls below the lower quartile and 75% of the data falls above the upper quartile.
The interquartile range provides a better representation of the spread of the data because it eliminates the influence of extreme values.
These values, also known as outliers, can have a significant impact on the range and can make it appear as though the data is more spread out than it actually is.
By using the interquartile range, the outliers are excluded and a more accurate representation of the spread of the data is obtained.
Therefore, option (a) is correct.
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Emmet had c caramels. Then his sister took 5 of the caramels. Write an expression that shows the number of caramels Emmet has left.
Answers
Answer:
C - 5
Step-by-step explanation:
We know
Emmet had c caramels
His sister took 5 caramels, that means subtract 5, so the equation is
c - 5
How many integer solutions are there to x 1 + x 2 + x 3 + x 4 + x 5 = 31 with (a) x i ≥ 0 (b) x i > 0 (c) x i ≥ i ( i = 1 , 2 , 3 , 4 , 5 )
Answers
There are 52,360 integer solutions in part (a), 27,405 integer solutions in part (b), and 4,845 integer solutions in part (c).
How to find the integer solutions?(a) This problem can be solved using stars and bars. We need to distribute 31 identical stars among 5 bins (corresponding to the variables x1, x2, x3, x4, and x5) with no restrictions on the number of stars in each bin. Using the stars and bars formula, the number of solutions is:
\(C(31+5-1, 5-1) = C(35, 4) = 52,360\)
(b) To ensure that xi > 0, we can subtract 1 from each variable and then use the same method as in part (a).
Let \(y1 = x1 - 1, y2 = x2 - 1, y3 = x3 - 1, y4 = x4 - 1, and y5 = x5 - 1\).
Then we have:
\(y1 + y2 + y3 + y4 + y5 = 26\)
Using the stars and bars formula, the number of solutions is:
\(C(26+5-1, 5-1) = C(30, 4) = 27,405\)
(c) To ensure that xi ≥ i, we can subtract i-1 from xi and then use the same method as in part (a).
Let \(z1 = x1 - 1, z2 = x2 - 2, z3 = x3 - 3, z4 = x4 - 4, and\ z5 = x5 - 5.\)
Then we have:
\(z1 + z2 + z3 + z4 + z5 = 16\)
Using the stars and bars formula, the number of solutions is:
\(C(16+5-1, 5-1) = C(20, 4) = 4,845\)
Therefore, there are 52,360 integer solutions in part (a), 27,405 integer solutions in part (b), and 4,845 integer solutions in part (c).
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Erik set a goal to sell 900 cars this year. He sells 30 cars in January, 38 in February, and 46 in March. If Erik keeps this pattern, will he reach his goal?
Answers
Answer: no
Step-by-step explanation:
Based on the information provided, it appears that Erik is increasing the number of cars he sells each month by 8. If he continues this pattern, he will sell 54 cars in April, 62 in May, and so on. By December, he will have sold a total of 678 cars (30 + 38 + 46 + … + 126), which is less than his goal of 900 cars. So no, if Erik keeps this pattern, he will not reach his goal.Based on the information provided, it appears that Erik is increasing the number of cars he sells each month by 8. If he continues this pattern, he will sell 54 cars in April, 62 in May, and so on. By December, he will have sold a total of 678 cars (30 + 38 + 46 + … + 126), which is less than his goal of 900 cars. So no, if Erik keeps this pattern, he will not reach his goal.
Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
Answers
We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
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Answer:
-1/6
Step-by-step explanation:
can some one help me with this
Answers
Answer:
x = 20
Step-by-step explanation:
first, you would take all of the angles and add them up to 180
2x+40+100=180
second, we combine like terms
2x+140=180
third, we solve for x
2x+140=180
-140 -140
2x=40
x=20
i hope this helps!
Answer:
X=20
Step-by-step explanation:
the total angle degree of a triangle is always 180 so we have two point 100 and 40 add those and you get 140 so you have 40 left but that angle says 2 X so 2x is 40 so ÷ 2 to get 1x which is 20
Whenever a sample is taken, the survey will reflect: Select one: a. The entire population. b. Sample size. c. The subpopulation. d. Sampling error.
Answers
Whenever a sample is taken, the survey will reflect sampling error.
Option D is the correct answer.
We have,
Whenever a sample is taken, the survey will reflect sampling error.
Sampling error refers to the discrepancy or difference between the characteristics or values observed in a sample and the true characteristics or values of the entire population.
It arises due to the fact that a sample is only a subset of the population and may not perfectly represent the entire population.
Sampling error can occur due to various factors such as random sampling variation, non-response bias, sampling bias, and other sources of error in the sampling process.
It is important to consider and account for sampling errors when interpreting the results of a survey or study based on a sample.
Thus,
Whenever a sample is taken, the survey will reflect sampling error.
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What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?
Answers
Answer:
-7/3 +\- 1/3i
Step-by-step explanation:
Which of these expressions is equivalent to 30b2?
A 3b + 10b
B 3b. 10b
c9b +21b
D 9b21b
Answers
Answer:
B) 3b. 10b
Step-by-step explanation:
B) 3b. 10b = (3x10)(bxb) = 30b²
Linda paid $28 for a sweater that was on sale for 30% off the original price. What was the original price of the sweater? (PLS SHOW WORK BRAINLIEST + 30 PTS TO WHOEVER ANSWERS FIRST)
Answers
Answer:
40 dollars.
Step-by-step explanation:
28=(.7)x
40=x
Thus, the original price was 40 dollars.
A stadium has fixed expenses of $20,000 per event. Last month it put on three big events and spent $50,000, $35,000, and 40,000 in advertising for them respectively. These events ended up earning a total of $500,000 in revenue. What was the stadium's profit margin last month?
Answers
Answer:
315,000
Step-by-step explanation:
(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000
500,000-185,000=315,000
use the kkt
Use the method of steepest ascent to approximate the solution to max z = -(x₁ - 3)² - (x₂ - 2)² s. t. (x₁, x₂) E R²
Answers
To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.
The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².
To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).
Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.
By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.
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If AB is the mid segment of XYZ, then find AB and x.
Answers
Answer:
AB=17
x=6
Step-by-step explanation:
2AB=XZ(mid-segment theorem)
AB=17
3x-1=17
3x=18
3x=18
x=6
In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Answers
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
A triangle has side lengths measuring 2x + 2 ft, x + 3 ft,
and n ft.
Mark this and return
Which expression represents the possible values of n,
in feet? Express your answer in simplest terms.
O x-1
On = 3x + 5
On=x-1
O 3x+5
Save and Exit
Next
Submit
Answers
The possible value of n in the triangle given is, n < 3x+5
What is a triangle?The triangle is a polygon with three side, vertex, and angles.
Given that, a triangle has side lengths measuring 2x + 2 ft, x + 3 ft,
and n ft.
We asked to find the expression that represents the possible values of n.
We know that,
The sides of a triangle rule assert that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
Therefore,
2x+2+x+3 = 3x+5
Thus, the possible value of n is,
n < 3x+5
Hence, the possible value of n in the triangle given is, n < 3x+5
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Data:
23.5
24.2
24.2
23.4
20.8
24.7
21.8
26.8
22.7
22.2
24.2
21.3
A factory manufactures steel rods. The rods are supposed to have a mean length of 25 cm. If there is evidence at a = 0.05 that the mean length for all rods is different from 25 cm the factory will be
Answers
There is insufficient evidence at a significance level of 0.05 to conclude that the mean length for all rods is different from 25 cm so the factory will not be considered to have evidence that the mean length is different from 25 cm based on the given data.
Null hypothesis (H0): The mean length of all rods is 25 cm.
Alternative hypothesis (Ha): The mean length of all rods is different from 25 cm.
Calculate the sample mean (X) and sample standard deviation (s) from the given data:
X = (23.5 + 24.2 + 24.2 + 23.4 + 20.8 + 24.7 + 21.8 + 26.8 + 22.7 + 22.2 + 24.2 + 21.3) / 12
= 24.025 cm
s = √[Σ(xi - X)² / (n - 1)]
= √[(23.5 - 24.025)² + (24.2 - 24.025)² + ... + (21.3 - 24.025)²] / 11
= 1.590 cm
Calculate the test statistic (t-value):
t = (X- μ) / (s / √n)
where μ is the assumed population mean (25 cm), s is the sample standard deviation, and n is the sample size.
t = (24.025 - 25) / (1.590 / √12)
= -1.491
Since the alternative hypothesis is two-tailed, we need to find the critical t-value with (n - 1) degrees of freedom (11 degrees of freedom for 12 data points) and a significance level of 0.05.
Using a t-distribution table the critical t-value for a two-tailed test with α = 0.05 and 11 degrees of freedom is approximately ±2.201.
Since |-1.491| < 2.201, the test statistic does not fall in the rejection region.
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help me with this fast
Answers
Answer: delete this please
Answer:
For 60: 120
For 65: 115
For 55: 125
( I mean I could be wrong but thats what I got)
Step-by-step explanation:
A social media website had 500,000 followers in 2012. The number y of followers increases by 19% each
year.
a. Write a function that represents the number of followers t years after 2012.
b. How many people will be following the website in 2019? Round your answer to the nearest thousand.
Answers
The function representing the followers is f(t) = 500,000( \( {(1 + 19%)}^{t} \)) and number of followers in 2019 will be 1,69,000.
The function represent the increase in followers each will be according to the below mentioned expression -
Total followers = initial followers \( {(1 + percentage increase in followers) }^{time spent} \)
Further representing time spent with t and total followers as f(t)
a. Keep the values in the mentioned expression -
f(t) = 500,000 \( {(1 + 19%) }^{t} \)
b. Time spent = 2019 - 2012
Time spent = 7
f(7) = 500000 (1 + 0.19) ⁷
f(7) = 500000 (1.19) ⁷
Performing addition
f(7) = 500000 × 3.38
Performing multiplication
f(7) = 1,68,965.77
Rounding off the answer to nearest thousand
f(7) = 1,69,000
Thus, correct answers are f(t) = 500,000( \( {(1 + 19%)}^{t} \)) and 1,69,000.
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how many letter size papers?
Answers
Answer:
Step-by-step explanation:
What size are Letter papers?
Page sizes and dimensions
Paper Size Dimensions
Letter 8.5 x 11 inches
Letter Wide 11 x 8.5 inches
Legal 8.5 x 14 inches
Legal Wide 14 x 8.5 inches
the length of a rectangle is nine inches more than its width. its area is 442 square inches. find the width and length of the rectangle.
Answers
If the length of a rectangle is nine inches more than its width and its area is 442 square inches, the width of the rectangle is 17 inches and its length is 26 inches.
Let's denote the width of the rectangle as "w" and its length as "l". From the problem statement, we know that:
l = w + 9 (since the length is nine inches more than the width)
The area of the rectangle is given by the formula:
A = l * w
Substituting in the expression for "l" in terms of "w", we get:
A = (w+9) * w
Simplifying, we get a quadratic equation:
w^2 + 9w - 442 = 0
We can solve this equation by factoring or using the quadratic formula. Factoring gives:
(w+26)(w-17) = 0
Therefore, the possible values for "w" are -26 and 17. However, since the width of the rectangle cannot be negative, we can eliminate -26 as a possible value. Thus, the width of the rectangle is 17 inches.
Using the expression for "l" in terms of "w", we can find the length:
l = w + 9 = 17 + 9 = 26 inches
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A ladder reaches from the top of a 120 meter tower to the ground. The ladder makes a 63 degree angle with the
ground. Find the length of the ladder
Answers
Answer:
135 m
Step-by-step explanation:
Draw a diagram, set your calculator to degrees and solve.
given that the absolute value of the difference of the two roots of $ax^2 + 5x - 3 = 0$ is $\frac{\sqrt{61}}{3}$, and $a$ is positive, what is the value of $a$?
Answers
The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.
We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".
Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:
|r1 - r2| = √(61) / 3
The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.
We can express the difference between the roots in terms of the sum and product of the roots as follows:
r1 - r2 = √((r1 + r2)² - 4r1r2)
Substituting the expressions we obtained earlier, we have:
r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))
Simplifying, we get:
r1 - r2 = √((25 / a²) + (12 / a))
Taking the absolute value of both sides, we get:
|r1 - r2| = √((25 / a²) + (12 / a))
Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:
√((25 / a²) + (12 / a)) = √(61) / 3
Squaring both sides and simplifying, we get:
25 / a² + 12 / a - 61 / 9 = 0
Multiplying both sides by 9a², we get:
225 + 108a - 61a² = 0
Solving this quadratic equation for "a", we get:
a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)
Since "a" must be positive, we take the positive root:
a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83
Therefore, the value of "a" is approximately 1.83.
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The question is -
Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?
In the adjoining parallelogram ABCD, A is joined to any point E on BC. AE and DC produced meet at E Prove that. area of ∆BEF = area of ∆ CDE
Answers
Answer:
In parallelogram ABCD any point E is taken on the side BC . AE and DC when produced to meet at a point M . Prove that ar(ADM) = ar(ABMC) .an equation for a line where x & y vary directly and x = 5, y = 20
Answers
For x and y to vary directly their ratio must be same,
\(\begin{gathered} \frac{y}{x}=\frac{20}{5} \\ y=4x \end{gathered}\)Thus, the required equation is y=4x.
A helicopter pad which is in the shape of a circle has a circumference of 62. 48 feet and a diameter of 24 feet. Which expression best represents the value of ?
Answers
The expression which represents the value of the area could be the six times the circumference of the circle.
What is area of circle ?
area of circle can be defined as the product of pi(3.14) and square of radius of the circle.
Given,
helicopter pad which is in the shape of a circle has a circumference 72.48
and the diameter of 24 feet.
radius = diameter/2
radius = 24/2
radius = 12
circumference of circle = 72.48
area of circle = π*r*r
area of circle = 22/7 * 12 * 12
area of circle = 452.5
area of circle is approximately 6 times the circumference of circle.
Hence , The expression which represents the value of the area could be the six times the circumference of the circle.
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Question 13 If the inflation rate is 180%, in how many years will average prices double?
Answers
If the inflation rate is 180%, the average prices will double in less than one year.
This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate
In this case, the inflation rate is 180%.
Therefore:Years to double = 70/180%
Years to double = 0.389 years
This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).
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what is the measure of F?
pleaseeee
Answers
Answer:
D
Step-by-step explanation:
The 3 angles in a triangle sum to 180°
Sum the 3 given angles and equate to 180
2x + 3 + 7x - 5 + 3x + 14 = 180 , collect like terms
12x + 12 = 180 ( subtract 12 from both sides )
12x = 168 ( divide both sides by 12 )
x = 14
Then
∠ F = 7x - 5 = 7(14) - 5 = 98 - 5 = 93° → D
Question 1 (1 point)
A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a
cheetah running at a constant speed. In the next question, explain or show your reasoning.
time (seconds) distance (meters) speed (meters per second)
4
120
25
270
Answers
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30