Answer:
x = - 7
Step-by-step explanation:
Sum of interior angles is a triangle is 180,
70 + 55 + 62 + x = 180
187 + x = 180
x = 180 - 187
x = - 7
Answer:
C) -7
Step-by-step explanation:
1. All the angles in a triangle add up to 180°. This means that x + 62 + 70 + 55 = 180.
2. (Solving equation above)
Step 1: Combine like terms.
\((x)+(62+70+55)=180\) \(x+(132+55)=180\) \(x + 187=180\)Step 2: Subtract 187 from both sides.
\(x+187-187=180-187\) \(x = -7\)Step 3: Check if solution is correct.
\(-7+62+70+55=180\) \(55+70+55=180\) \(125+55=180\) \(180=180\)Therefore, the answer is C) -7.
On a scale 1 3/4 inches represent 50 miles. How many miles are represented by 7 inches?
Answer:
200 miles
Step-by-step explanation:
1 3/4 can be turned into a decimal as 1.75
Now let’s create fractions to prepare for cross multiplication
1.75/50=7/x
1.75x=7(50)
1.75x=350
/1.75. /1.75
x=200
200 miles
hopes this helps please mark brainliest
What is the common difference or common ratio for the sequence: 27, 9, 3, 1, 1/3, ...
Answer:
It's dividing by 3 everytime, so 1/3
Step-by-step explanation:
20 miles in 6 hours =
Answer:
3.33
hope I helped
Answer:
18 seconds per mile
Step-by-step explanation:
what’s the answer guys?!
Answer:
C = p(3.50)
Hope this helps! :)
In 1985 there were 275 cell phone subscribers in the small town of China grove. Subscribers increased by 40% each year after 1985. How many cell phone subscribers were there in 1994?
BRAINLIEST AND 50 POINTS UP FOR GRABS: PLEASE LEAVE DETAILED ANSWERS
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).
Plot triangles PQR and P'Q'R' on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)
Answer:
Triangle P' Q' R' is half the size of the original triangle.
-The scale factor is probably 1/3.
Part B: P'(1, −2), Q'(0, 3), and R'(−1, 0).
Part C: No, the triangles are not congruent. If the second triangle didn't have a dilation, and instead have a reflection of the first triangle, then it would be congruent.
Step-by-step explanation:
:)
Write the equation of the line that passes through the given points.
(9,0) and (0,3)
The equation of the line is.
(Simplify your answer. Type your answer in slope-intercept form.
y=-1/3x+3 is equation of the line that passes through the given points (9,0) and (0,3)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+c, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
x₁=9, y₁=0,x₂=0,y₂=3
Apply in slope formula
m=3-0/0-9
m=-1/3
So slope of line passing through (9,0) and (0,3) is -1/3.
y=-1/3x+c
Put (9,0) in x and y place
0=-1/3(9)+c
0=-3+c
c=3
y=-1/3x+3
Hence y=-1/3x+3 is equation of the line that passes through the given points (9,0) and (0,3)
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Breanna purchased 8 oranges for $10.00. Jonathon purchased 6 oranges for $8.00. What was the unit rate for each purchase?
Answer:
Step-by-step explanation:
breanna's oranges were $1.25
jonathon's oranges were $1.33
Katherine Johnson is organizing the sale of supplies for the space mission. On the first day you of sales Dorothy Vaughan purchased 3 blankets and 9 trays for a total of $75. Mary Jackson spent 67 on the second day by purchasing 8 blankets and 5 food trays. What is the price of one blanket ticket and one food tray?
A region is prone to flooding once every 20 years. If the probability of flooding in that region any one year is >o. What is the probabilit, of not flooding the next year
The probability of the region not flooding the next year is 19/20.
Given that a region is prone to flooding once every 20 years, we can calculate the probability of flooding in any one year as:
Probability of flooding in any one year = 1/20 = 0.05
Since the probability of flooding in any one year is greater than 0, the probability of not flooding in any one year would be:
Probability of not flooding in any one year = 1 - 0.05 = 0.95
Therefore, the probability of not flooding the next year in this region would be 0.95 or 95%.
Hi, I'd be happy to help you with your probability question.
The probability of flooding in the region any one year is 1/20 (once every 20 years). To find the probability of not flooding the next year, we need to find the complement of the probability of flooding.
Step 1: Determine the probability of flooding.
P(Flooding) = 1/20
Step 2: Find the complement probability.
P(Not Flooding) = 1 - P(Flooding)
Step 3: Calculate the probability of not flooding.
P(Not Flooding) = 1 - (1/20) = 19/20
The probability of the region not flooding the next year is 19/20.
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We can approach this problem using the concept of probability and complement rule.
Given that a region is prone to flooding once every 20 years, we can assume that the probability of flooding in any given year is 1/20 or 0.05 (since once in 20 years means once in 20 trials, and the probability of success in any one trial is 1/20).
Now, the probability of not flooding in the next year can be calculated using the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.
Therefore, the probability of not flooding in the next year can be calculated as follows:
P(not flooding) = 1 - P(flooding)
P(not flooding) = 1 - 0.05
P(not flooding) = 0.95
So, the probability of not flooding in the next year is 0.95 or 95%. This means that there is a high likelihood that the region will not experience flooding in the next year.
However, it's important to note that the probability of flooding in any given year is still greater than 0, which means that there is always a possibility of flooding occurring, regardless of whether it occurred in the previous year or not.
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Please help me answer this!
what is the question bro !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
5.2 cm
4 cm
V = bh
V = ______ x 4
V=
3 cm
Area of base:_________x
cubic cm
11
sq. cm
En una estacion de tren el tren a para cada 15 horas, el tren b para cada 30 horas y el tren c cada 30 horas, cada cuanto tiempo coinciden en esa estacion?
Por lo tanto, los trenes A, B y C coinciden en la estación de tren cada 30 horas, que es el m.c.m. de los tiempos de los trenes. La respuesta es 30 horas.
Para ello, primero hay que encontrar los múltiplos de cada tiempo de tren: 1
5: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 48030: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960
Como podemos ver, los múltiplos comunes son 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480.
Por lo tanto, los trenes A, B y C coinciden en la estación de tren cada 30 horas, que es el m.c.m. de los tiempos de los trenes. La respuesta es 30 horas.
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factor the following completely 6i^2−7i−3, and 2i^2−11i+14
Answer:
-7i - 9
-11i + 12
Step-by-step explanation:
i stands for imaginary number, in which i² = -1
6i² = 6 * -1 = -6
-6 - 7i - 3
Combine like terms:
-6 - 3 = -9
-7i - 9
2i^2 = 2 * -1 = -2
Combine like terms:
-11i + 14 - 2
-11i + 12
~
In a study of 817 randomly selected medical malpractice lawsuits, it was found that 489 of them were dropped or dismissed.
Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
What is the hypothesis test to be conducted?
The hypothesis test to be conducted is a test of proportions, where we will test the claim that most medical malpractice lawsuits are dropped or dismissed.
Let p be the proportion of all medical malpractice lawsuits that are dropped or dismissed. We can state the null and alternative hypotheses as follows:
Null hypothesis: p ≤ 0.5 (i.e., no evidence that most medical malpractice lawsuits are dropped or dismissed)
Alternative hypothesis: p > 0.5 (i.e., evidence that most medical malpractice lawsuits are dropped or dismissed)
We choose a significance level of 0.01, which means that we are willing to reject the null hypothesis if the probability of observing the sample results under the null hypothesis is less than 0.01.
To test this hypothesis, we will use a one-sample z-test for proportions, where we will calculate the test statistic z and compare it to the critical value from the standard normal distribution.
If the test statistic z is greater than the critical value, we will reject the null hypothesis and conclude that there is evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.
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A home improvement store advertises 60 square feet of flooring for 253 plus an additional 80 installation fee. What is the cost per square foot for flooring?
Answer:
Step-by-step explanation:
Your answer
5.55 per square foot
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HELP
According to the Rational Root Theorem, Negative 2/5 is a potential rational root of which function?
f(x) = 4x4 – 7x2 + x + 25
f(x) = 9x4 – 7x2 + x + 10
f(x) = 10x4 – 7x2 + x + 9
f(x) = 25x4 – 7x2 + x + 4
Answer: Answer is f(x) = 25x4 - 7x2 + x + 4
Step-by-step explanation:
Answer:
d on edg
Step-by-step explanation:
Type an expression using x and y as the variables.
∂z/∂x = ____
∂x/∂t = ____
∂z/∂y = ____
dy/dt = ____
dz/dt = ____
∂z/∂x = ____
dx/dt = ____
∂z/∂y = ____
dy/dt = ____
dz/dt = ____
Use the Chain Rule to find dw/dt where w = cos 12x sin 4y, x=t/4, and y=t^4.
∂w/∂x = ____
(Type an expression using x and y as the variables.)
Using the chain rule to find dw/dt where w = cos 12x sin 4y, x=t/4, and y=t^4, we get; dw/dt = ∂w/∂x * dx/dt + ∂w/∂y * dy/dt where x = t/4, then dx/dt = 1/4 and y = t^4, then dy/dt = 4t^3
Substituting the above values into the equation, we have; dw/dt = (-12sin12xsin4y)(1/4) + (4cos12xcos4y)(4t^3)where x = t/4 and y = t^4.∂w/∂x = -12sin12xsin4y∂w/∂x = -3sin3tsin4t^4
A formula for calculating the derivative of the combination of two or more functions is known as the Chain Rule formula. Chain rule in separation is characterized for composite capabilities. The chain rule, for instance, expresses the derivative of their composition if f and g are functions.
According to the chain rule, the derivative of f(g(x)) is f'(g(x))g'(x). d/dx [f(g(x))] = f'(g(x)) g'(x). To put it another way, it enables us to distinguish "composite functions." Sin(x2), for instance, can be constructed as f(g(x)) when f(x)=sin(x) and g(x)=x2. This makes it a composite function.
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considering the arrhenius equation, what is the slope of a plot of ln k versus 1/t equal to?
The slope of a plot of ln k versus 1/t equal to: −E_a/R
How to find the slope of the arrhenius equation?The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.
Arrhenius equation is expressed as:
k = \(Ae^{-E_{a}/RT }\)
Taking natural log on both sides,
ln k = ln \(Ae^{-E_{a}/RT }\)
In k = In A - E_a/RT
In k = In A - (E_a/R * (1/T))
This equation is in the form of y = mx + c
The plot of ln k vs 1/T gives a straight line with negative slope.
Slope = −E_a/R
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The second of two numbers is two more than the first.
The sum is 40. Find the numbers.
Answer:
19 + 21 = 40.
Step-by-step explanation:
Adrian and his children went into a grocery store and will buy apples and mangos. Each apple costs $2.25 and each mango costs $2. Adrian has a total of $25 to spend on apples and mangos. Write an inequality that would represent the possible values for the number of apples purchased, aa, and the number of mangos purchased, m.
The inequality which represents the given situation will be 2.25x + 2y ≤ 25.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
Suppose the cost of an apple is x and the cost of one mango is y.
2.25x + 2y = total cost
2.25x + 2y ≤ 25
Hence "The inequality which represents the given situation will be 2.25x + 2y ≤ 25".
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Z1 and Z2 are completely angles
MZ1 =52
What is the measure of Z2?
Explanation:
Complementary angles always add to 90.
One angle is 52 degrees, so the other must be 90-52 = 38 degrees
52+38 = 90
Compute the Hessian of f(x, y) = x³ - 2xy - y" at point (1,2).
The Hessian of the function f(x, y) = x³ - 2xy - y" at the point (1, 2) is a 2x2 matrix with entries [6, -2; -2, 0].
The Hessian matrix is a square matrix of second-order partial derivatives. To compute the Hessian of f(x, y), we need to compute the second-order partial derivatives of f(x, y) with respect to x and y.
First, we compute the partial derivatives of f(x, y):
∂f/∂x = 3x² - 2y
∂f/∂y = -2x - 1
Next, we compute the second-order partial derivatives:
∂²f/∂x² = 6x
∂²f/∂x∂y = -2
∂²f/∂y² = 0
Evaluating these second-order partial derivatives at the point (1, 2), we have:
∂²f/∂x² = 6(1) = 6
∂²f/∂x∂y = -2
∂²f/∂y² = 0
The Hessian matrix is then given by:
H = [∂²f/∂x² ∂²f/∂x∂y]
[∂²f/∂x∂y ∂²f/∂y²]
Substituting the computed values, we have:
H = [6 -2]
[-2 0]
Therefore, the Hessian of f(x, y) at the point (1, 2) is the 2x2 matrix [6, -2; -2, 0].
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A restaurant customer left $1.35 as a tip. The tax was 5% and the tip was 15% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?
The information doesn't need to be that the tax was 5% of the total cost to obtain these equations, and the total bill was $10.35.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The tip was $1.35, or 10% of the after-tax price.
The tax was set at 5% of the whole price.
Let's do some math and change some variables
The total bill (after tax and tip) will be a.
The total bill will be 'b.'
We know that the tip ($1.35 ) was 15% of the after-tax cost (b):
$1.35 = 15% × b
We know that the total after-tax and tip (a) equals the after-tax cost (b) plus the tip:
a = b + $1.35
As you can see, we don't need to know that the tax was 5% of the total cost to obtain these equations. That is our response to the first question.
Now we can evaluate our second equation to figure out what the total bill (a) is.
a = b + $1.35...(i)
Let's get eliminate that b so we just have the variable whose value we want.
To accomplish so, we may utilize the first equation to determine the value of b:
1.35 = 0.15×b
Divide both sides by 0.15:
1.35 / 0.15= b
9 = b
Now we can substitute 9 in for b in equation (i):
a = b + 1.35
a = 9 + 1.35
a = 10.35
Therefore, the total bill was $10.35.
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how would you express b⃗ b→b vec using unit vectors? express your answers in terms of the unit vectors x^x^x unit and y^y^y unit . use the button under the menu in the answer box to create unit vect
To express vector b→ using unit vectors, we can break down vector b→ into its components along the x-axis and y-axis.
Let's assume that vector b→ has a magnitude of b and an angle θ with respect to the positive x-axis.
The x-component of vector b→ can be found using the formula:
bₓ = b * cos(θ)
The y-component of vector b→ can be found using the formula:
by = b * sin(θ)
Now, we can express vector b→ using unit vectors:
b→ = bₓ * x^ + by * y^
where x^ and y^ are the unit vectors along the x-axis and y-axis, respectively.
For example, if the x-component of vector b→ is 3 units and the y-component is 4 units, the vector b→ can be expressed as:
b→ = 3 * x^ + 4 * y^
Remember that the unit vectors x^ and y^ have magnitudes of 1 and point in the positive x and y directions, respectively.
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The vector b can be expressed using unit vectors \(\widehat x\) and \(\widehat y\) by decomposing it into its x-axis and y-axis components, denoted as \(b_x\) and \(b_y\) respectively. This representation allows us to express b as the linear combination \(b_x \widehat x + b_y \widehat y\), providing a concise and clear representation of the vector.
To express the vector b using unit vectors, we can decompose b into its components along the x-axis and y-axis. Let's call the component along the x-axis as \(b_x\) and the component along the y-axis as \(b_y\).
The unit vector along the x-axis is denoted as \(\widehat x\), and the unit vector along the y-axis is denoted as \(\widehat y\).
Expressing b in terms of unit vectors, we have:
\(b = b_x \widehat x + b_y \widehat y\)
This equation represents the vector b as a linear combination of the unit vectors \(\widehat x\) and \(\widehat y\), with the coefficients \(b_x\) and \(b_y\) representing the magnitudes of b along the x-axis and y-axis, respectively.
Therefore, the vector b can be expressed using unit vectors \(\widehat x\) and \(\widehat y\) by decomposing it into its x-axis and y-axis components, denoted as \(b_x\) and \(b_y\) respectively. This representation allows us to express b as the linear combination \(b_x \widehat x + b_y \widehat y\), providing a concise and clear representation of the vector.
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Plot the given parabola on the axes. Plot the roots, the vertex and two other points.
y = 29x² - 174x - 203
The graph of the parabola is shown with a vertex, while the root of the equation is x = 7 and -1.
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation
Here,
y = 29x² - 174x - 203
Roots the equation,
29x² - 174x - 203 = 0
x² - 6x - 7 = 0
(x - 7)(x + 1) = 0
Roots are x = 7 and -1
Now illustrating the graph of the parabola,
Thus the graph of the parabola is shown with a vertex, while the root of the equation is x = 7 and -1.
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What is the area of the irregular polygon shown below?
Answer:
C. 86 sq. units
Step-by-step explanation:
You want the area of a polygon consisting of a 4 by 18 rectangle with equilateral triangles attached to the short sides.
Triangle areaThe area of each of the two triangles is ...
A = 1/2bh
A = 1/2(4)(3.5) = 7 . . . . square units
Rectangle areaThe area of the rectangle is ...
A = LW
A = (18)(4) = 72 . . . . square units
Polygon areaThe area of the polygon is the area of two triangles plus the area of the rectangle:
A = 2(7) +72 = 86 . . . . square units
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Help please I am in dire need
Answer:
Answer is d=9t.
Step-by-Step:
4.5/.5=9
6.75/.75=9
13.5/1.5=9
Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Fill in the blank
d = __ s + __
(also to understand better we are doing the equation y = __ x + __ )
Answer:
d= 3s+50
Step-by-step explanation:
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The length of the base of an isosceles triangle is x. The length of a leg is x. The perimeter of the triangle is. Find x.
If the perimeter of the isosceles triangle is 12 cm, then the base of the triangle (x), as well as the length of the triangle leg (x) is 4 cm.
An isosceles triangle is a type of triangle in which two sides have the same length. These two equal sides are referred to as the legs of the triangle, while the remaining side is known as the base.
The perimeter of a triangle is the sum of the lengths of all its sides. In this case, since the triangle is isosceles, the base and one leg have the same length (x), and the other leg also has the same length (x). Therefore, the perimeter of the triangle is 2x + x = 3x. Given that the perimeter of the isosceles triangle is 12 cm, then:
3x = 12
x = 12/3
x = 4
So, the base and legs of the isosceles triangle each have a length of 4 cm.
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Your question seems to be missing the value for the perimeter of the triangle, but I suppose the complete question was:
"The length of the base of an isosceles triangle is x. The length of a leg is x. The perimeter of the triangle is 12 cm. Find x."