Answers
Answer:
35 degrees
Step-by-step explanation:
a triangles angles add up to 180 degrees
if 4 is 35 degrees then what is 3
90 - 35 = 55
1 = 90
90 + 55 = 145
180 - 145 = 35
2 = 35 degrees
try math it helps alott
Related Questions
What is the slope of the line?
Answers
Answer:
-7/2
Step-by-step explanation:
The slope of a line can be defined as: \(\frac{rise}{run}\), which can be more formally calculated as: \(\frac{y_2-y_1}{x_2-x_1}\), where it's essentially the same thing, except the rise/run is being calculated with two points (which you already need)
So let's just say: \((x_1, y_1)=(-5, 5)\text{ and } (x_2, y_2)=(-3, -2)\)
Plugging the values into the equation we get: \(\frac{-2-5}{-3-(-5)}\implies\frac{-7}{-3+5}\implies-\frac{7}{2}\)
You can also just look at the graph and see that from point 1 to point 2, it "rised" -7 units, and "ran" 2 units.
Notice how the "rise" is negative? That just means it went down.
3 72/120 rounded to the nearest half
Answers
Answer:
4
Step-by-step explanation:
3 72/120
÷24 ÷24
3 3 / 5 = 3 + 3/5 = 3 + 6/10 = 3 + 0.6 = 3.6 ≈ 4 rounded to the nearest half since 3.6 is closer to 4 than 3
5.6.8 let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e). show that this need not be true if f is continuous but not uniformly continuous.
Proof. (1): To prove {f(xn)} is a Cauchy sequence just need to prove ∀ > 0, ∃N, s.t.,∀n, m > N,
have |f(xn) − f(xm)| < . Since f is uniformly continuous on set E, thus ∀ > 0, ∃δ > 0, s.t.,
∀x, y ∈ E, if |x − y| < δ,then |f(x) − f(y)| < .as {xn} is a Cauchy sequence, then ∃N, s.t.,
∀n, m > N, |xn − xm| < δ, thus |f(xn) − f(xm)| < which proves {f(xn)} is a Cauchy sequence.
(2): for example f(x) = 1
x
, x ∈ (0, 2) which is continuous but not uniformly continuous. {
1
n
} is
a Cauchy sequence, however, {f(xn)} does not converge which proves that it is not a Cauchy
sequence.
Answers
Showing that this need not be true if f is continuous but not uniformly continuous.
Given :
let f be a uniformly continuous function on a set e. show that if {xn} is a cauchy sequence in e then {f(xn)} is a cauchy sequence in f(e).
( 1 )
If f is uniformly continuous on E, then given ε > 0 there is δ > 0 such that if x, y are in E and |x−y| < δ,
then |f(x) − f(y)| < ε. Let (xn) be a Cauchy sequence in E. Then given δ > 0 there is N such that if p, q > N,
then |xp − xq| < δ, and thus |f(xp) − f(xq)| < ε, implying that (f(xn)) is a Cauchy sequence.
( 2 )
Let E = {1, 1/2, 1/3, · · } and f(1/n) = 1 is n is odd, f(1/n) = −1 if
n is even. Then f is continuous but not uniformly continuous. The sequence (xn) = (1/n) in E is Cauchy but the
sequence (f(xn)) = (1, −1, 1, −1, · · ·) is not Cauchy.
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Cameron bought a used car for $4,500. He made a down payment of $1,200 and agreed to pay the remaining balance in monthly payments of $300 each.
Which equation can be used to find m, the number of months it will take Cameron to pay off his car? (7.10A)
F 4,500 = 1,200 + 300m
F 4,500 = 1,200 + 300m
G 4,500 = –300 + 1,200m
G 4,500 = –300 + 1,200m
H 4,500 = 300 + 1,200m
H 4,500 = 300 + 1,200m
J 4,500 = 1,200 – 300m
J 4,500 = 1,200 – 300m
Answers
Answer:
\(4500 = 1200 + 300m\)
Step-by-step explanation:
Given
\(Total = 4500\)
\(Base\ Amount = 1200\)
\(Payment = 300\) monthly
Required
Write an expression to determine the number of months
The total can be expressed using:
\(Total = Base\ Amount +Payment * Number\ of\ months\)
Substitute value for each term
\(4500 = 1200 + 300 * m\)
\(4500 = 1200 + 300m\)
Hence:
Option F answers the question
You have $1000 to invest in two different accounts. To save the money you need for college, you need to average 6.1 percent interest. If the two accounts pay 3 percent and 7 percent interest, how much should you invest in each account?
$625 in 3%, $375 in 7%
$850 in 3%, $150 in 7%
$450 in 3%, $550 in 7%
$225 in 3%, $775 in 7%
Answers
The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
You have $1000 to put resources into two distinct records. To set aside the cash you really want for school, you really want to average a 6.1 percent premium. Assuming the two records pay a 3% and 7 % premium.
Let 'x' be the amount deposited in an account that pays 3% of interest. Then the amount deposited in another account that pays 7% of interest is (1000 - x). Then the equation is given as,
0.03x + 0.07(1000 - x) = 0.061 × 1000
Simplify the equation, then we have
0.03x + 0.07(1000 - x) = 0.061 × 1000
0.03x + 70 - 0.07x = 61
-0.04x + 70 = 61
0.04x = 70 - 61
0.04x = 9
x = 9 / 0.04
x = $225
Then the amount in the second account will be given as,
⇒ $1000 - $225
⇒ $775
The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.
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Answer this urgently, please!!!!
Answers
Answer:
exact form: 55/256
decimal form: 0.21484375
Which of the following gives an example of
an exponential function?
a. y = 3x^2
b. y = x^-5
c. y = 1.5^x
D. = x^2 - x
Answers
Assuming that x \neq \frac{1}{2}, simplify (12x^2 - 6x)(4x - 2).
Answers
Equation (12x² - 6x)(4x - 2) simplifies to 12x(2x - 1)².
We can start by factoring out the greatest common factor from both terms, which is 6x:
(12x² - 6x)(4x - 2) = 6x(2x - 1)(4x - 2)
Next, we can simplify the expression by factoring out the common factor (4x - 2) from the remaining terms (2x - 1):
6x(2x - 1)(4x - 2) = 6x(2x - 1) × 2(2x - 1)
Now we have two factors that are the same, (2x - 1), so we can combine them by multiplying them together:
6x(2x - 1) × 2(2x - 1) = 12x(2x - 1)²
Therefore, (12x² - 6x)(4x - 2) simplifies to 12x(2x - 1)².
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Given question is incomplete, the complete question is below
Assuming that x ≠ 1/2, simplify (12x² - 6x)(4x - 2).
Elena walked 12 miles. Then she walked 0.25 that distance. How far did she walk all together? Select all that apply. A: 12+0.25∙12 B: 12(1+0.25) C: 12∙1.25 D: 12∙0.25 E: 12+0.25
Answers
Answer:
Step-by-step explanation:
If Elena walk 12 miles, and then 0.25 that distance
0.25=1/4
12*1/4=3 miles is 1/4 of the distance
she walked in total 12+3=15 miles
choice A =12+12*1/4
Elena walked a total 12(1+0.25) distance.
What is a distance?The distance is the total movement of an object without any regard to direction.
First Elena walked 12 miles.
Then walked 0.25 or (1/4)th of 12 miles
i.e. 12 * (1/4) = 3
The total distance Elena walked is
12+3 = 15 miles or
12 + (1/4)*12 = 12(1+0.25)
Hence, 12(1+0.25) is the total distance walked by Elena.
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Suppose that the supply of a product is given by p= 15+6 Ln(5q+4), where p is the price per unit and q is the number of units supplied. What price will give a supply of 5800 units?
A price of $___ will give a supply of 5800 units.
Round to the nearest cent as needed.
Answers
Answer:
$76.68Step-by-step explanation:
p = 15 + 6ln (5q+4)p = 15 + 6ln (5*5800 + 4)p = 15 + 61.68p = $76.68Today, everything at a store is on sale. The store offers a 20% discount.
If the regular price of an item is x dollars, what is the discount price in dollars?
0.8x or x-0.2x
0.9x
0.7x
0.6
Answers
Answer:
0.8x or 0.2x
Step-by-step explanation:
20% of x = 20/100 × x = 0.2x
So discount price = x - 0.2x = 0.8x
Answer:
A =greatest amount
Step-by-step explanation:
explin how it's solve
|6x-1|=|4x-5|
Answers
I) 6x-1=4x-5
2x=-4
x=-2
II) 6x-1=-(4x-5)
6x-1=-4x+5
10x=6
X=0.6
Rewrite the given equation in slope-intercept form
y – 4 = 3(x - 2)
Answers
Answer:
y=3x-2
Step-by-step explanation:
y-4=3(x-2)
y-4=3x-6
y=3x-2
Interactive Practice: Understand Statistical Questions and Data Distributions
Each day for three weeks, Isaias records the number of eggs his chickens lay. The frequency table
shows his data.
Which statement describes the data distribution?
The frequency increases as the number
of eggs increases.
The value with the greatest frequency is
6 eggs.
The range is 8 eggs.
The distribution is spread from 2 eggs to
7 eggs.
Number of Eggs
4
5
6
7
8
||||
11
Y
X
Answers
Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.
These questions typically ask about a population or group of individuals and are often related to trends or patterns.
Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.
To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.
This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.
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The Graduate Records Exam (GRE) is the entrance exam for most graduate schools. The population of individual GRE scores has a distribution that is approximately N(544, 103). What is the approximate chance that a single randomly chosen student scores less than 525 on the GRE? That is, find P(x < 525).
Answers
the approximate chance that a single randomly chosen student scores less than 525 on the GRE is 0.4279 or about 42.79%.
What is probability?
Probability is a measure of the likelihood of an event occurring.
To answer this question, we need to standardize the score of 525 using the mean and standard deviation provided:
z = (x - mean) / standard deviation
where x is the score we want to find the probability for, mean is the mean score of the population, and standard deviation is the standard deviation of the population.
In this case:
z = (525 - 544) / 103 = -0.184
We can then use a standard normal distribution table or calculator to find the probability that a randomly chosen student scores less than 525, which is equivalent to finding the probability that a standard normal variable is less than -0.184:
P(z < -0.184) = 0.4279
Therefore, the approximate chance that a single randomly chosen student scores less than 525 on the GRE is 0.4279 or about 42.79%.
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A parabola opening up or
equation in vertex form.
down has vertex (-1, 4) and passes through (-2, 17). Write its equation in vertex form.
Answers
Equation of parabola in vertex form is 13x² + 26x + 17
Define Parabola
A symmetrical open plane curve created when a cone and a plane that runs perpendicular to its side collide. Ideally, a projectile traveling under the pull of gravity will travel along a curve similar to this one.
Given,
vertex (h,k) = (-1, 4)
points (x,y) = (-2, 17)
We know, The equation in vertex form is
y = a(x - h)² + k
put the (h,k) values,
y = a(x - (-1))² + 4
y = a(x + 1)² + 4 --------- eq(i)
Next, find the value of 'a' by plug in the points of (x, y) in eq(i)
y = a(x + 1)² + 4
⇒17 = a(-2 + 1)² + 4
⇒17 = a(-1)² + 4
⇒17 = a + 4
⇒a = 13
Now, substitute 'a' value in eq(i) to find the equation of parabola
y = a(x + 1)² + 4
⇒ y = 13(x + 1)² + 4
⇒ y = 13(x² + 1 + 2x) + 4
⇒ y = 13x² + 13 + 26x + 4
⇒ y = 13x² + 26x + 17
Therefore, equation of parabola in vertex form is 13x² + 26x + 17
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Question 4 O Mark this question Megan was conducting a study to determine if there was a relationship between eating a whole foods diet and general overall health. For her study Megan's null hypothesis was that a whole foods diet would not have any impact on general health. Megan's alternate hypothesis was that eating a whole foods diet would cause improvements in health. If Megan completed her study, which of the following statements would indicate a Type I error? Megan's results show that a whole foods
Answers
Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."
A Type I error occurs when the null hypothesis is rejected, even though it is true.
In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.
Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.
This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.
So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."
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help plsss
rotate tuv 90 degrees clockwise around the origin
Answers
Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)
Step-by-step explanation:
Please help asap!!!
Answers
The exact values of trigonometric functions are, respectively:
sin (u + v) = - 13 /85
tan (u + v) = - 13 / 84
How to find the exact values of trigonometric functions
In this problem we need to determine the exact values of trigonometric functions, this can be done by using trigonometric formulas and relationships between trigonometric functions. We need to use the following expressions:
sin² x + cos² x = 1
sin (u + v) = sin u · cos v + cos u · sin v
tan x = sin x / cos x
tan (u + v) = (tan u + tan v) / (1 - tan u · tan v)
Where x, u, v are measured in radians.
Now we proceed to determine the exact values of each function:
cos u = √[1 - (- 3 / 5)²]
cos u = 4 / 5
sin v = √[1 - (15 / 17)²]
sin v = 8 / 17
sin (u + v) = (- 3 / 5) · (15 / 17) + (4 / 5) · (8 / 17)
sin (u + v) = - 13 /85
tan u = (- 3 / 5) / (4 / 5)
tan u = - 3 / 4
tan v = (8 / 17) / (15 / 17)
tan v = 8 / 15
tan (u + v) = (- 3 / 4 + 8 / 15) / [1 - (- 3 / 4) · (8 / 15)]
tan (u + v) = - 13 / 84
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749/d * d/749 = 1
d=?
Answers
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
I need help with questions 1,2, and 3. This class is microeconomics
Answers
Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.
What is budget?A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.
What is consumption?Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.
According to the given information:
To draw Ben's indifference curves, we need to plot different combinations of cookies and coffee that give Ben the same level of satisfaction. Since the slope of all his indifference curves is constant at -2, they will be downward-sloping straight lines. We can plot several indifference curves by varying the level of satisfaction they represent. The budget constraint is a straight line that represents all possible combinations of cookies and coffee that Ben can purchase with his $12 budget. The slope of the budget constraint is the ratio of the prices of coffee and cookies, which is 2:1. Ben optimally purchases the point where his budget constraint is tangent to his highest attainable indifference curve. In other words, he maximizes his satisfaction subject to his budget constraint. In the graph above, this point is labeled as "Optimal Consumption." At this point, Ben purchases 2 cookies and 2 coffees, spending $8 on coffee and $4 on cookies, which exhausts his $12 budget.To optimize his consumption, Ben should allocate his budget between cookies and coffee such that the ratio of their marginal utilities equals their prices. In other words, Ben should choose the combination of cookies and coffee where the marginal utility per dollar spent is the same for both goods. At his current consumption level of 3 coffees and 0 cookies, Ben's marginal utility per dollar spent on cookies is 2/2 = 1, and his marginal utility per dollar spent on coffee is 1/4 = 0.25. Since the marginal utility per dollar spent on cookies is higher than that of coffee, Ben should decrease his consumption of coffee and increase his consumption of cookies to achieve the optimal consumption level. He should continue adjusting his consumption until the marginal utility per dollar spent on each good is equal.To know more about budget and consumption visit:
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A company has a 20-person grievance committee. When a grievance is filed, three of these 20 people are chosen at random to serve on a hearing panel. Suppose that two committees are formed. What is the probability that these committees have at least one member in common?
Answers
Answer:
the probability that the two committees have at least one member in common is approximately 0.3622.
Step-by-step explanation:
To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.
Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:
Number of ways to choose 3 people out of 20 without overlap:
C(20,3) = (201918)/(321) = 1140
Number of ways to choose 3 people out of 20 with overlap:
C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680
The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.
The total number of ways to choose two committees of three people each without any overlap is:
C(20,3) * C(17,3) = (1140*680) = 775200
Therefore, the probability that the two committees have no members in common is:
P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378
So the probability that the two committees have at least one member in common is:
P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622
Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.
Analyze the graph below to identify the key features of the logarithmic function. Graph begins in the third quadrant near the line x equals negative 6 and increases rapidly while crossing the ordered pair negative 5, 0. The graph then begins to increase slowly throughout the second and first quadrants. Group of answer choices The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6. The x‐intercept is y = −5, and the graph approaches a vertical asymptote at y = −6. The x‐intercept is x = 5, and the graph approaches a vertical asymptote at x = 6. The x‐intercept is y = 5, and the graph approaches a vertical asymptote at y = 6.
Answers
The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6. Then the correct option is A.
How to draw the graph of the function?The collection includes all locations on the surface of the shape (x, f(x)) that make up a function of f's graph. We may alternatively say that the graph of f is the curve of y = f. (x). As a result, the diagram of an equation is a particular instance of the graphs of functions.
The x-intercept is at (-5, 0). Then the value of the abscissa is given as,
x = -5
The graph begins in the third quadrant near the line x = - 6. Then the equation x = - 6 represents the asymptote.
The x‐intercept is x = −5, and the graph approaches a vertical asymptote at x = −6. Then the correct option is A.
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The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answers
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
You want to survey people about their favorite types of art. Which is the better place to get a random sample?
A) outside an art museum
B) in the modern art section of an art museum
Answers
Answer:
B) in the modern art section of an art museum
Step-by-step explanation:
Hope it helps! =D
Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount. Part B: Explain how you would solve this problem by organizing a sample calculation. Explain why organization was important in the thought process
Answers
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
what is amount ?aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.
given
You can use a fraction to express the percentage 20%.
This is inferred from the fact that the sign for percentage,% means to divide by 100.
Therefore, it is important to understand that 20% equals 20/100, or 1/5.
As a result, the 20% tip represents one-fifth of the total.
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
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What is the exact length of HG in cms
Answers
The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.
Considering angle G, lets find sin 45°\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)
[ sin 45° = 1/√2 ]
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)
\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)
So, the side HG is b√2 cm long
A piece of wire is bent into the shape of a triangle. Two sides have length 16 inches and 23 inches. The angle between these two sides is 40°. What is the length of the third side to the nearest hundredth of an inch?
Answers
Answer:
The length of the third side is approximately ≈ 14.79 inches
Step-by-step explanation:
A piece of wire is bent into the shape of a triangle. Two sides have lengths of 16 inches and 23 inches. The angle between these two sides is 40°. What is the length of the third side to the nearest hundredth of an inch?
Use the law of cosines to find the length of the missing side.
Let C be the third side.
A = 18
B = 23
Angle C = 40^∘
c^2 = a^2 + b^2 - 2ab cos C
c = √a^2 + b^2 - 2ab cos C
c = √18^2 + 23 ^2 - 2 (18) (23) cos 40^∘
c = √583 - 828 cos40^∘
≈ 14.79
Thus, The length of the third side is approximately 14.79 inches.
Hope this helps!
What is the formula for net cost price
Answers
Answer:
Hope this helps lol !
Step-by-step explanation:
This is how to calculate net price. Start with the list price and add any taxes and other government-mandated charges. Then subtract any discounts, negotiated prices. The result you get will be the net price.
840 students attend Northfield middle school. 65%of students earned a perfect attendance award. How many students didn't earn the award?
Answers
Answer:
546
Step-by-step explanation:
840 x 0.65 = answer .. in this case 546