The measure of the interior angle x is 97 degrees.
How to get the value of x?Remember that the sum of the interior angles of any triangle must be 180°.
Also remember that two adjacent angles should add to 180°.
Then the measure of the angle in the right vertex of the triangle is given by:
a + 139° = 180°
a = 180° - 139° = 41°
And now that we know two angles, we can find the third one as:
x + 41° + 42° = 180°
Solving that for x we will get:
x = 180° - 41° - 42°
x = 97°
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HLEP PLEASEE!!!!!!!!!!!!!!!!!
Answer: y=-x-8
Step-by-step explanation:
do it i still gotchu
Wildhorse provides environmentally friendly lawn services for homeowners. Its operating costs are as follows.
Depreciation
Advertising
Insurance
Weed and feed materials
Direct labor
Fuel
$1,400 per month
$150 per month
$2,475 per month
$20 per lawn
$12 per lawn
$3 per lawn
wildhorse charges $70 per treatment for the average single-family lawn.
Determine the company's break-even point in number of lawns serviced per month.
Therefore, Wildhorse needs to service at least 2 lawns per month to break even and cover its operating costs.
To determine the break-even point for Wildhorse in terms of the number of lawns serviced per month, we need to calculate the total cost and the contribution margin per lawn.
Total cost per lawn = Depreciation + Advertising + Insurance + Weed and feed materials + Direct labor + Fuel
= $1,400 + $150 + $2,475 + $20 + $12 + $3
= $4,060
Contribution margin per lawn = Revenue per lawn - Total cost per lawn
= $70 - $4,060
= -$3,990
The contribution margin is negative, indicating that the company incurs a loss of $3,990 per lawn serviced.
To determine the break-even point, we divide the fixed costs by the contribution margin per lawn:
Break-even point (in number of lawns) = Total fixed costs / Contribution margin per lawn
= $4,060 / (-$3,990)
≈ 1.019 lawns
Since we can't have a fraction of a lawn, the break-even point is rounded up to 2 lawns serviced per month.
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Find the slope of the line that passes through
(-4, 7) and (-6, -4)
Answer:
The slope of the line is 11/2
remember, rise over run.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
\(m=\frac{11}{2}\)
Step-by-step explanation:
how to solve this question??
limx→0sinaxcosbxsincx=limx→0(cosbx⋅sinaxax⋅cxsincx⋅ac)=ac
Perform operations on matrices and use matrices in applications.
(+) Work with 2 × 2 matrices as a transformations of the plane, and interpret the absolute value of the determinant in terms of area.
Matrices are a powerful mathematical tool that can be used to solve equations, represent transformations, and analyze data in many different fields.
A matrix is a rectangular array of numbers. In mathematics, matrices are commonly used to solve systems of linear equations. The determinant is a scalar value that can be calculated from a square matrix. Matrices can be used in many applications, including engineering, physics, and computer science.To perform operations on matrices, it is important to understand matrix arithmetic. Addition and subtraction are straightforward: simply add or subtract the corresponding elements of each matrix. However, multiplication is more complex. To multiply two matrices, you must use the dot product of rows and columns. This requires that the number of columns in the first matrix match the number of rows in the second matrix. The product of two matrices will result in a new matrix that has the same number of rows as the first matrix and the same number of columns as the second matrix.A 2 × 2 matrix is a special case that is particularly useful in transformations of the plane. A 2 × 2 matrix can be used to represent a transformation that stretches, shrinks, rotates, or reflects a shape. The determinant of a 2 × 2 matrix can be used to find the area of the shape that is transformed. Specifically, the absolute value of the determinant represents the factor by which the area is scaled. If the determinant is negative, the transformation includes a reflection that flips the shape over.
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Solve the following quadratic equation by factoring:
x^2 + 2x - 8 = 0
Answer: x = -4 and x = 2.
To factor a quadratic equation in the form of x^2 + bx + c = 0, we need to find two numbers that when multiplied together, give us c, and when added or subtracted, give us b.
We need to find two numbers whose product is -8 and whose sum is 2. These numbers are 4 and -2, so we can write:
x^2 + 2x - 8 = (x + 4)(x - 2) = 0
Setting each factor to zero, we get:
x + 4 = 0 or x - 2 = 0
Solving for x in each equation, we get:
x = -4 or x = 2
So, the solutions to the equation x^2 + 2x - 8 = 0 are x = -4 and x = 2.
(b) Find the greatest number that divides 300, 560 and 500 without leaving a remainder.
Greatest number that divides 300, 560 and 500 is 20 .
Given numbers : 300, 560 and 500
First let’s find prime factors of 300,560 and 500
300 = 2^2 *3^1 *5^2
560= 2^4 * 7^1 *5^1
500 = 2^2 * 5^3
So,
Here highest common power of 2 is 2
Here highest common power of 3 is 0
Here highest common power of 5 is 1
Here highest common power of 7 is 0
Thus HCF (300, 560 and 500) = 2^2 * 5^1 * 3 ^0 * 7 ^0
=4*5*1*1
= 20
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What is an equation of the form a b = c d b a = d c stating that two ratios are equivalent?
Answer:
true proportion
A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.
hope it helps ya.
Can you give me brainliest? please?.ت︎
the state narcotics bureau must form a 5-member investigative team. if it has agents from which to choose, how many different possible teams can be formed?
the number of different possible teams that can be formed is equal to nCr, or n!/(r!(n-r)!).
Assuming that the state narcotics bureau has more than 5 agents from which to choose, the number of different possible teams that can be formed is equal to the number of combinations of 5 agents out of the total number of agents the bureau has. This can be calculated using the formula nCr (n choose r), where n is the total number of agents and r is the number of agents in each team, which in this case is 5.
Therefore, the number of different possible teams that can be formed is equal to nCr, or n!/(r!(n-r)!).
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∆ABC was transformed according to the rule (x, y) → (−x, y) to create ∆A'B'C'. What transformation justifies the relationship between the triangles?
A 90° rotation around the origin characterised the transition.
What is the transformational rule?A logical principle that specifies the circumstances in which one assertion can be legitimately inferred from one or more other statements, particularly in codified languages.
What transformation does the rule x y → − x − y?(x, y)(x, y) is the formula for a reflection over the x-axis.
Triangle ABC was changed utilizing the (x, y) rule (–y, x). The triangles' vertices are displayed. A (–1, 1) B (1, 1) C (1, 4) (1, 4) A' (–1, –1) (–1, –1) B' (–1, 1) C' (–4, 1) (–4, 1) Which phrase best sums up the change? A 90° rotation around the origin characterised the transition. A 180° rotation of the origin occurred during the transformation. The transformation was a 270° rotation about the origin. The transformation was a 360° rotation about the origin.
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Answer: A reflection over the y-axis justifies ∆ABC ≅ ∆A'B'C'.
Step-by-step explanation: Took the test, no thanks neeeded :)
A rental car company charges $40.50 per day to rent a car and $0.12 for every mile driven. Sebastian wants to rent a car, knowing that: He plans to drive 400 miles. He has at most $210 to spend. Write and solve an inequality which can be used to determine dd, the number of days Sebastian can afford to rent while staying within his budget.
Considering the definition of an inequality, the number of days Sebastian can afford to rent while staying within his budget is less than or equal to 6.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, you know that:
A rental car company charges $40.50 per day to rent a car and $0.12 for every mile driven. Sebastian plans to drive 400 miles. Sebastian has at most $210 to spend.Being "d" the number of days Sebastian can afford to rent while staying within his budget, the inequality that expresses the previous relationship is
40.50×d - 400×0.12 ≤ 210
Solving:
40.50×d - 48 ≤ 210
40.50×d ≤ 210 + 48
40.50×d ≤ 258
d ≤ 258÷ 40.50
d ≤ 6.37
Finally, the number of days Sebastian can afford to rent while staying within his budget is less than or equal to 6.
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Determine midpoint of two points using Midpoint Formula
(2,7) and (6, 13).
Answer:
Midpoint are 4,10
Step-by-step explanation:
x midpoint - 4
y midpoint - 10
midpoint formula (x1 + x2)/2 , (y1 + y2)/2
(2+8)/2, (7+13)/2
4,10
Full Explanation
\( M = (x_M, \; y_M) \)
\( M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) \)
\( M = \left(\dfrac{2 + 6}{2}, \; \dfrac{7 + 13}{2}\right)\)
\( M = \left(\dfrac{8}{2}, \; \dfrac{20}{2}\right)\)
\( M = (4, \; 10)\)
The following linear regression model can be used to predict ticket sales at a popular water park.
Ticket sales per hour = -631.25 + 11.25(current temperature in degrees F).
In this context, does the intercept have a reasonable interpretation?
No, at 0°F the ticket sales would be -631.25 and it is not reasonable (or possible) to have negative ticket sales in a linear regression model for predicting ticket sales.
In the statistics, the concept of regression analysis is useful for creating a predictive model that predicts the value of a target or dependent variable using all the controlling independent or explanatory variables. Depending on the number of independent variables, regression can be called simple regression or multiple regression. We have a linear regression model that predicts ticket sales for popular water parks.
The regression line equion in this model is written as -631.25 + 11.25 (current temperature in degree F). Comparing above equation with y = a + bx, here, the interaction in the equation above means that hourly ticket sales will be -631.25 when the current temperature (in degrees Fahrenheit) is 0. This does not make sense because hourly ticket sales can be at least 0 but never a negative number. So, it is not reasonable interpretation.
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a soft drink machine outputs a mean of 2727 ounces per cup. the machine's output is normally distributed with a standard deviation of 33 ounces. what is the probability of filling a cup between 2121 and 3030 ounces? round your answer to four decimal places.
The probability of the soft drink machine filling a cup between 2121 and 3030 ounces with a normal distribution of the mean of 2727 ounces and a standard deviation of 33 ounces is 0.
It is given that the soft drink machine's output is normally distributed.
We know that for any normal distribution with X~(μ,σ)
f(z)= 1/σ√2π . e^(-(x - μ)²/2σ²),for all z ∈ R.
where μ = The mean of the distribution
σ = the standard deviation of the distribution
Here
μ = 2727
σ = 33
We need to find
P(2121< x < 3030)
We know that the relation between a normal distribution and its Z-score is
P(a < X < b) = Φ((b- μ)/ σ) - Φ(a - μ/ σ)
here a = 2121 and b = 3030
Therefore we get
P(2121< x < 3030) = Φ((3030- 2727)/ 33) - Φ(2121 - 2727/ 33)
= Φ((303)/ 33) - Φ(-606/ 33)
= Φ((303)/ 33) - Φ(-606/ 33)
= Φ((9.181818) - Φ(-18.363636)
From the Z score table, we know that the p-value will be
0 - 0
= 0
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what is -2 to the 8th power
Answer:
-256
Step-by-step explanation:
Put a negative next to 2^8 and you'll get your answer.
Please help!
Write the equation that describes the simple harmonic motion of a particle moving uniformly around a circle of radius 7 units, with angular speed 2 radians per second.
The equation that describes the simple harmonic motion of the particle is:
x = 7 * sin(2t + φ)
The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be represented as:
x = A * sin(ωt + φ)
In this equation:
x represents the displacement of the particle at time t.
A represents the amplitude of the motion.
ω represents the angular frequency or angular speed of the motion.
t represents time.
φ represents the phase constant.
In the given scenario, the particle is moving uniformly around a circle of radius 7 units, with an angular speed of 2 radians per second. In circular motion, the displacement can be represented by the arc length along the circumference of the circle.
Since the angular speed is 2 radians per second, the angular frequency (ω) is also 2 radians per second.
Since the particle is moving uniformly, the amplitude of the motion (A) is equal to the radius of the circle, which is 7 units.
The phase constant (φ) determines the initial position of the particle at t = 0.
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The prime number between 51 and 71
Answer:
There is more than one but here are the options. 53, 59, 61, and 67
I need help please and thank you
Answer:
-10
Step-by-step explanation:
Answer:
x=-10
Step-by-step explanation:
9=29+2x
-29 -29
-20=2x
x=-10
50 POINTS!!!!! SPAM ANSWERS WILL BE REPORTED! GIVE ANSWER AND SHOW WORK PLEASE!!! THANKS!!!!!!!
Answer:
Question 12: Find the slope from these two points: (-3,-3) and (-4,-8)
The formula for finding the slope from two points is attached to this answer.
So if we plug in our values that correspond to the formula we get the following:
First pair: -3 is our x1, -3 is our y1,
Second pair: -4 is our x2, -8 is our y2
-8--3/-4--3
-8+3/-4+3
-5/-1=5, Our slope is 5 for question 12
Question 18: Find the area of a circle with a diameter of 31.
Area=\(\pi r^2\)
So we have \(15.5^{2} \pi\)
240.25 times 3.14 is 754.385, if we round to the nearest whole number we receive 754 as our answer for question 18
Question 21: Find the measurement of a missing leg in a right triangle when given the hypotenuse and another leg
We know that the hypotenuse is 8cm and one of the legs is 5cm
the formula would be \(a^{2} +b^{2}= c^{2}\) for the hypotenuse but this can be used to find the missing legs as well.
\(5^{2} +b^{2} =8^{2}\)
\(25+b^{2} =64\)
Subtract 25
\(b^{2} =39\)
b would equal 6.44 something but the question said to round to the nearest whole number which would be 6.
Question 23: Find the volume of a cone
Radius: 10, height: 7
Formula to find the volume of a cone: 1/3 times 3.14 times r^2 times the height
1/3 times 3.14 times 10^2 times 7
1/3 times 3.14 times 700
1.046 (the 46 is repeating) repeating times 700
732.06 repeating, the 6 is repeating.
The question also asks us to round to the nearest whole number so the answer to question 23 would be 733
Question 26: Find the volume of a sphere
Radius is 6 and pi is 3.14
Formula: \(4\pi \frac{r^3}{3}\)
So we have 4 times 3.14 times 6^3 divided by 3
4 times 3.14 times 108/3
4 times 3.14 times 36
12.56 times 36
452.16, I didn't see this answer listed on your worksheet, so please correct me if I'm wrong
Question 47: Probability of a number cube rolled many times to see how many times an even number is rolled.
Since this is a standard number cube there must be 6 sides, therefore half the numbers are even so
65 * 2 = 32.5, which rounds up to 33
33 is our answer to question 47
Hope I helped, have a nice day :)
francisco and meredith are 230 feet apart when they start walking toward one another. they are walking at the same speed, so whenever francisco travels some number of feet, meredith travels the same number of feet. let x x represent the number of feet francisco has traveled since he started walking toward meredith. write an expression in terms of x x that represents the number of feet francisco has walked toward meredith since they started walking. preview write an expression in terms of x x that represents the number of feet meredith has walked toward francisco since they started walking. preview write an expression in terms of x x that represents the total number of feet francisco and meredith have walked toward one another since they started walking. preview write an expression in terms of x x that represents the distance (in feet) between francisco and meredith. preview
The expressions are:
- Francisco's distance: x
- Meredith's distance: x
- Total distance: 2x
- Distance between Francisco and Meredith: 230 - 2x.
To answer your question, let's break it down into the different expressions:
1. The expression that represents the number of feet Francisco has walked toward Meredith since they started walking can be written as x.
2. The expression that represents the number of feet Meredith has walked toward Francisco since they started walking can also be written as x.
3. The expression that represents the total number of feet Francisco and Meredith have walked toward one another since they started walking can be written as x + x, which simplifies to 2x.
4. The expression that represents the distance between Francisco and Meredith can be written as 230 - (x + x), which simplifies to 230 - 2x.
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Please help
80 POINTS plus BRAINLIEST, THANKS AND 5 STAR
Answer:
Steps and solution in the attached picture.
Step-by-step explanation:
Steps and solution in the attached picture.
PLEASE HELP
Solve each equation
2x = 7x + 14
3y - 21 = 4 - 2y
2 (3z + 1)= -2 (z + 3)
3(p - 1) = 3p - 2
Answer:
Step-by-step explanation:
The chosen topic is not meant for use with this type of problem. Try the examples below.
x
−
y
=
9
,
x
+
y
=
6
x
2
−
y
=
2
,
2
x
−
y
=
−
1
x
+
y
=
3
,
2
x
−
8
y
=
19 =120
Can somebody answer this
(Answer asap pls I will give 26 pionts!!!!)One coral reef is located 17 feet below sea level. Another is located 32 feet below sea level. What is the difference in the depths of the two reefs?
49 feet
15 feet
−15 feet
−49 feet
Answer: -15
Step-by-step explanation:
do 17-32= -15
How much pizza sauce is needed to cover a 16" pizza? (Note: 16" is the diameter of the pizza.)
Responses
A 200.96 in2200.96 in 2
B 803.84 in2803.84 in 2
C 50.24 in250.24 in 2
D 3215.36 in2
Answer:
It is difficult to give a precise answer without more information, such as the thickness of the sauce and the desired coverage. However, if we assume that the sauce is being applied evenly and that a thin layer is desired, the amount of sauce needed to cover a 16" pizza would be approximately 50.24 in2. This is because the area of a circle with a diameter of 16" is approximately 50.24 in2. To calculate the area of a circle, you can use the formula A = πr^2, where A is the area, π is approximately 3.14, and r is the radius of the circle (which is half the diameter). In this case, the radius would be 8" and the area would be approximately 50.24 in2.
Step-by-step explanation:
Help me Please?
I will give brainliest to the first one that answers
This is my algebra 1 and i dont understand it
Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
solve sinx = 2x-3 using false position method
The root of the equation sinx = 2x-3 is 0.8401 (approx).
Given equation is sinx = 2x-3
We need to solve this equation using false position method.
False position method is also known as the regula falsi method.
It is an iterative method used to solve nonlinear equations.
The method is based on the intermediate value theorem.
False position method is a modified version of the bisection method.
The following steps are followed to solve the given equation using the false position method:
1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.
Here, f(x) = sinx - 2x + 3.
2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))
3. Evaluate the function at point c and find the sign of f(c).
4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.
5. Repeat the steps 2 to 4 until we obtain the required accuracy.
Let's solve the given equation using the false position method.
We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.
So, the root lies between 0 and 1.
The calculation is shown in the attached image below.
Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).
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Help Asap! Find The Measure Of The Missing Angle In The Triangle
Answer:
50 triangle equals 180
Step-by-step explanation:
find the product
(n+8)(m-2)
Answer:
nm - 2n + 8m - 16
Step-by-step explanation:
(n + 8) (m - 2)
nm - 2n + 8m - 16
Melina will glue two lengths of ribbon around a cylindrical vase. the height of the vase is 10 centimeters, and its volume) is 1,400 cubic centimeters. how much ribbon does she need to the nearest centimeter?
Melina needs 420 centimeters of ribbon.
We know that the volume of cylinder with radius of base r and height h is given by,
\(V=\pi r^2h\)
And the curved surface area of the same is,
\(C=2\pi rh\)
Given that, the height of the vase is 10 cm
Let the radius of the base be r cm.
So the volume is \(=10\pi r^2\)
Given that the volume is 1400 cubic centimeters. So,
\(10\pi r^2=1400\\\frac{22}{7}r^2=140\\r^2\approx44.54\\r\approx6.67\)
So the required ribbon \(=2\pi rh=2\times\frac{22}{7} \times6.67\times10\approx420\)
Hence Melina needs 420 centimeters of ribbon.
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