3. Convert 78.125 to degrees, minutes, seconds.
Answers
The angle 78.125° is rewritten as 78 degrees 7 minutes and 30 seconds.
What is conversion?Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.
The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
The angle is given below.
⇒ 78.125°
Convert the decimal part into minutes and seconds. Then we have
⇒ 78° + 0.125 x 60
⇒ 78°7.5'
⇒ 78°7' + 0.5 x 60
⇒ 78°7'30''
The angle 78.125° is rewritten as 78 degrees 7 minutes and 30 seconds.
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Related Questions
In ΔNOP, n = 170 inches, o = 150 inches and p=290 inches. Find the measure of ∠P to the nearest 10th of a degree.
Answers
Answer:
129.9
Step-by-step explanation:
Deltamath
What is the range of the function f(x) = -2x + 5 when the domain is {-5, 5}.
Answers
Answer:
{-5,15}
Step-by-step explanation:
because this function is constantly decreasing, we can get our range by looking at the endpoints:
f(-5) = 15
f(5) = -5
An average sized person will burn about 350 calories in an hour of walking at a fairly brisk pace. How many calories would you burn if you walk an hour a day for 6 months
Answers
Answer: 65100 Calories
Step-by-step explanation:
Let's believe that there are 31 days in a month. Therefore, the number of days in 6 months will be:
= 31 × 6
= 186 days.
This means that the person will walk for 186 hours
The number of calories that will be burn will then be:
= 186 × 350
= 65100 calories
Smallest to biggest. 0.43,3/7,43.8%,7/16
Answers
Answer: 3/7 (Smallest), 0.43, 7/16, 43.8% (largest)
Step-by-step explanation:
0.43
3/7 = 0.4286
43.8% = 0.438
7/16 = 0.4375
lesson 5 mod1 answer key 7.1
Answers
how would you substitute this equation?
Answers
If y = x and y = z, then by substitution we can say x = z.
In this case, substitution gives us
-1/2 x - 2 = -3/2 x + 2
and we can solve for x :
3/2 x - 1/2 x = 2 + 2
x = 4
then solve for y :
y = -1/2 x - 2
y = -1/2 * 4 - 2
y = -2 - 2
y = -4
the list shows the ingredients needed to make 8 pancakes 240g of plain flour two eggs 600ml of milk Dan wants to make 12 pancakes what quantity of each ingredient should you use
Answers
Answer:
Flour = 360g
Eggs = 3
Milk = 900ml
Step-by-step explanation:
In the items below a physical property is identified along with two objects figures. For each In the item identify whether the property applies to one, both, or neither of the objects figures listed and explain why it does or does not.1) Property: PerimeterrectangleSphere
Answers
The perimeter is the distance along the edge of a figure, it is most commonly used for 2-D figures.
Then, it does apply to a rectangle since is a 2-D figure with defined sides.
However, it does not apply to a sphere since it is a 3-D figure with no defined sides, for a sphere we can calculate volume, surface area, radius, diameter, and circumference.
To rent a certain meeting room, a college charges a reservation fee of $35 and an additional fee of $5.80 per hour. he history club wants to spend less than $69.80on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room?
Answers
The possible amounts of time for which they could rent the meeting room is 1.71 hours
How to determine the hours?The question states that
The college charges a reservation fee of $35 and an additional fee of $5.80 per hour.The history club wants to spend less than $69.80on renting the meeting roomThis implies that
35x + 5.80x ≤69.80
Solving the inequality to have
40.8x ≤69.80
Making x the subject of the relation we have
x≤1.71
In conclusion it takes the college 1.71 of time for them to rent the meeting room
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A ten sided die is rolled.
P (3 or 5)
Answers
Answer: 1/5 or 20%
Step by Step Explanation:
Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.
Formula: Number of outcomes divided by Favorable Outcomes
Consider a sample space defined by events A
1
,A
2
,B
1
, and B
2
, where A
1
and A
2
are complements. Given P(A
1
)=0.3,P(B
1
∣A
1
)=0.6, and P(B
1
∣A
2
)=0.5, what is the probability of P(A
1
∣B
1
) ? P(A
1
∣B
1
)= (Round to three decimal places as needed.)
Answers
The probability of A1 occurring given B1 is approximately 0.375, rounded to three decimal places.
To find the probability of P(A1|B1), we can use Bayes' theorem:
P(A1|B1) = (P(B1|A1) * P(A1)) / P(B1)
Given that A1 and A2 are complements, P(A2) can be calculated as 1 - P(A1), which means P(A2) = 0.7.
We are given P(B1|A1) = 0.6 and P(B1|A2) = 0.5.
Now, to calculate P(B1), we can use the law of total probability:
P(B1) = P(B1|A1) * P(A1) + P(B1|A2) * P(A2)
Substituting the given values, we get:
P(B1) = (0.6 * 0.3) + (0.5 * 0.7)
= 0.18 + 0.35
= 0.53
Finally, we can calculate P(A1|B1) using Bayes' theorem:
P(A1|B1) = (P(B1|A1) * P(A1)) / P(B1)
= (0.6 * 0.3) / 0.53
≈ 0.375
Therefore, the probability of A1 occurring given B1 is approximately 0.375, rounded to three decimal places.
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Solve for r 5(r-10)=-51
Answers
Answer:
r = -0.2
Step-by-step explanation:
5r-50=-51
5r=-1
r= -0.2
Thats what I got based on PEMDAS...
Answer:
\(\boxed {r = -\frac{1}{5}}\)
Step-by-step explanation:
Solve for the value of \(r\):
\(5(r - 10) = -51\)
-Use Distributive Property:
\(5(r - 10) = -51\)
\(5r - 50 = -51\)
-Add \(50\) on both sides:
\(5r - 50 + 50 = -51 +50\)
\(5r = -1\)
-Take \(5\) and divide it on both sides:
\(\frac{5r}{5} = \frac{-1}{5}\)
\(\boxed {r = -\frac{1}{5}}\)
Therefore, the value of \(r\) is \(-\frac{1}{5}\).
please solve this y=-1/2x+1
Answers
Answer:
slope = -1/2
Step-by-step explanation:
m=mx+b so y=-1/2x+1 x is ur slope
Your group has 10 pennies and 10 nickels. Use these pennies and nickels to solve the following problems.
1. You have a total of 11 coins. The total value of the 11 coins is 23 cents.
What is the only possible combination of pennies and nickels?
Answers
Answer:
p=8
n=3
Step-by-step explanation:
let number of pennies=p
number of nickels=n
p+n=11
n=11-p
1*p+5*n=23
p+5(11-p)=23
p+55-5p=23
55-4p=23
4p=55-23=32
p=32/4=8
n=11-8=3
The polygons are similar but not necessarily drawn to scale.
Answers
If two polygons are similar, then they have the same shape but not necessarily the same size.
They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.
The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.
Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.
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Which sentence summarizes the advantages of taking out a mortgage loan?
a.) Mortgages can be repaid over a long period of time.
b.) Mortgages can be quickly repaid in a short period of time.
c.) Mortgages are short-term commitments for inexpensive items.
d.) Mortgages have no risk of foreclosure.
Answers
Answer: a.) Mortgages can be repaid over a long period of time.
Instead of paying the money back all at once, it's beneficial to spread out the payments over 15 years or 30 years so that the monthly payments are small and manageable. Yes overall you'll pay more money than what you borrowed, but interest is involved with nearly every type of loan.
Identify the x- and y- intercept of each graph.
Answers
Answer:
x = 10 and y = -6
Step-by-step explanation:
Find the limit, if it exists. (If an answer does not exist, enter DNE.)
lim x→[infinity] (SQRT(25x2 + x) -5x)
Answers
The limit of (√(25x² + x) - 5x) as x approaches infinity is 0.
In mathematics, limits are used to describe the behavior of a function as its input approaches a certain value or as it approaches infinity or negative infinity. The limit of a function f(x) as x approaches a specific value, say c, represents the value that f(x) approaches as x gets arbitrarily close to c.
Limits allow us to analyze the behavior of functions near specific points, and they are essential in calculus for topics like differentiation and integration. They help us understand the continuity of functions, the existence of asymptotes, and the determination of function behavior at critical points.
Limits can be evaluated in various ways, including algebraic simplification, factoring, applying limit laws, using L'Hôpital's rule, or employing special limit formulas. However, in some cases, the limit may not exist, meaning that the function does not approach a specific value or approaches different values depending on the direction of approach. In such cases, the limit is said to be "DNE" (does not exist).
To find the limit of the expression lim x→∞ (√(25x^2 + x) - 5x), we can simplify the expression and determine its behavior as x approaches infinity.
Let's simplify the expression step by step:
lim x→∞ (√(25x² + x) - 5x)
As x approaches infinity, the x term becomes negligible compared to the x² term within the square root. Therefore, we can ignore the x term within the square root:
lim x→∞ (√(25x² + x) - 5x) ≈ lim x→∞ (√(25x²) - 5x)
Simplifying further:
lim x→∞ (5x - 5x) = lim x→∞ 0
The limit is equal to 0.
Therefore, the limit of (√(25x² + x) - 5x) as x approaches infinity is 0.
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5. Write 8% as a decimal
Answers
Answer:
.08
Step-by-step explanation:
Show that the function f(x) = ln(x²) - x + 2 has exactly one zero on the interval [4,6].
Answers
Using the intermediate value theorem and Rolle's theorem, we showed that the function \(f(x) = ln(x^{2} ) - x + 2\) has exactly one zero on the interval [4,6], which is x = 2.
To show that the function \(f(x) = ln(x^{2} ) - x + 2\) has exactly one zero on the interval [4,6], we need to use the intermediate value theorem and Rolle's theorem.
First, we can find that the function is continuous and differentiable for x > 0. Taking the derivative of f(x), we get \(f'(x) = (2/x) - 1\). Setting f'(x) = 0, we get x = 2.
Now, let's evaluate f(4) and f(6). We have \(f(4) = ln(16) - 4 + 2 = ln(16) - 2\)and \(f(6) = ln(36) - 6 + 2 = ln(36) - 4\). Using a calculator, we find that f(4) < 0 and f(6) > 0.
By the intermediate value theorem, since f(x) is continuous on [4,6] and takes on values of opposite signs at the endpoints, there exists at least one zero of f(x) on the interval.
Finally, to show that there is only one zero, we use Rolle's theorem. Since f(x) is differentiable on (4,6) and has a zero on this interval, there must exist at least one point c in (4,6) such that f'(c) = 0.
From earlier, we know that f'(x) = (2/x) - 1, so we have \(f'(c) = (2/c) - 1 = 0\), which implies c = 2. Therefore, the only zero of f(x) on [4,6] is x = 2.
In summary, using the intermediate value theorem and Rolle's theorem, we showed that the function \(f(x) = ln(x^{2} ) - x + 2\) has exactly one zero on the interval [4,6], which is x = 2.
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Onions are on sale at four different grocery stores. Which store offers thelowest unit rate for onions, in dollars per pound?$3.20• Farm Fresh:4 pounds• Mother Nature:1 pound$1.70• Hobson's:2 pounds• Veggie Delight: $0.70/poundO A. Farm FreshOB, Veggie DelightOC. Mother NatureD. Hobson's
Answers
T determine which store offers the lowest unit rate for onions ($/pound) you have to express calculate the price per pound for each grocery store and then compere the results.
To calculate the price per pound you can use corss multiplication
Farm Fresh
4pounds _____$3.20
1pound____$x
\(\begin{gathered} \frac{3.20}{4}=\frac{x}{1} \\ x=\frac{3.20}{4} \\ x=0.80 \end{gathered}\)The onions cost $0.80 per pound
Mother nature
1/3pound ____$1/4
1pound____$x
\(\begin{gathered} \frac{\frac{1}{3}}{\frac{1}{4}}=\frac{x}{1} \\ x=\frac{1}{3}\cdot\frac{4}{1} \\ x=\frac{4}{3}\cong1.33 \end{gathered}\)The onions cost $1.33 per pound
Hobson's
2pounds_____$1.70
1pound____$x
\(\begin{gathered} \frac{1.70}{2}=\frac{x}{1} \\ x=\frac{1.70}{2} \\ x=0.82 \end{gathered}\)The onions cost $0.82 per pound
Veggie Delight
$0.70 per pound
Solve for X please help
Answers
Answer:
x = 10
Step-by-step explanation:
First square both sides of the equation...
\(2\sqrt{x + 8} = 3\sqrt{x - 2} \\(2\sqrt{x + 8})^{2} = (3\sqrt{x - 2})^{2} \\ 4(x + 8) = 9(x - 2)\\4x + 32 = 9x - 18\\-5x = -50\\x = 10\)
Givien g(x) = -3x-5 , find g(4)
Answers
Answer: g(4)=-17
Step-by-step explanation:
You just plug in 4 into x.
-3(4)-5
-12-5
=17
Answer:
g(4) = -17
Step-by-step explanation:
Hello!
Substitute 4 for x in the equation.
Evaluateg(x) = -3x - 5g(4) = -3(4) - 5g(4) = -12 - 5g(4) = -17g(4) is -17.
10 points!!!!!! 16-20 please answer correctly and hurry please
Answers
Answer:
\( \large{ 16.}\)
Two adjacent angles form a linear pair if the sum of those angles is 180°.\( \: \large{\tt{❃ \: m \: \angle \: 1 + m \: \angle \: 2 = 180 \degree \: ( \: SUM \: OF \: ANGLE \: IN \: LINEAR \: PAIR)}}\)
\( \large{ \tt{⟶ \: 47 \degree + m \angle \: 2 = 180 \degree}}\)
\( \large{ \tt{⟶ \: m \angle \: 2 \: = 180 \degree - 47 \degree}}\)
\( \large{ \boxed{ \tt{⟶ \: m \: \angle \: 2 = 133 \degree}}}\)
–––––––––––––
\( \large{17}.\)
When two lines intersect , the Ames formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.\( \large{ \tt{↝ \: m \angle \: 6 = m \angle5 = \boxed{ 99.5\degree }\: ( \: BEING \: VOA)}}\)
–––––––––––––
\( \large{18.}\)
\( \large{ \tt{✻ \: m \angle \: JHL = m \angle \: JHK + m \: \angle \: KHL\: }}\)
\( \large{ \tt{⤏ \: m \angle \: JHL= 60 \degree + 46 \degree}}\)
\( \large{ \boxed{\tt{⤏ \: m \angle \: JHL = 106 \degree}}}\)
Note that m ∠ KHL = 46° [ being vertically opposite angle ]–––––––––––––––
\( \large{ {19.}}\)
Firstly , find out m ∠ JHP :\( \large{ \tt{❁ \: m \: \angle \: JHK + m \: \angle JHP+ m \: \angle PHN= 180 \degree \: ( \: sum \: of \: angle \: in \: straight \: line)}}\)
\( \large{ \tt{↣ \: 60 \degree + m \angle \: JHP+ 46 \degree = 180 \degree}}\)
\( \large{ \tt{↣ \: m \angle \: JHP = 74 \degree}}\)
Now , find out m ∠ JHN :\( \large{ \tt{☂ \: m \angle \: JHN = m \angle \: JHP + m \angle \: PHN}}\)
\( \large{ \tt{↦m \angle \: JHN = 74 \degree + 46 \degree}}\)
\( \large{ \boxed{ \tt{ ↦m \angle \: JHN = 120 \degree}}}\)
––––––––––––––––
\( \large{ 20.}\)
\( \large{ \tt{✺ \: m \angle \: KHP = m \angle \: KHJ + m \angle \: JHP}}\)
\( \large{ \tt{ ↬ \: \: m \angle \: KHP = 74 \degree + 60 \degree}}\)
\( \large{ \boxed{\tt{↬ \: m \angle \: KHP = 134 \degree}}}\)
And we're done! Yeyy :) . Also , Let me know if you have any questions regarding my answer !––––––––––––––––
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Jasmine created a scale drawing of her room. She used a scale of 1 in:3 feet. The drawing is 8 inches long by 6 inches wide. What is the area of the room in square feet?
Answers
Answer:
The area of the room is 432 square feet
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ The scale drawing of the room is 1 inch: 3 feet
→ That means each 1 inch in the drawing represents 3 feet in real
∵ The drawing is 8 inches long by 6 inches wide
∴ The drawing length of the room = 8 inches
∴ The drawing width of the room = 6 inches
→ By using the ratio method
→ inches : feet
→ 1 : 3
→ 8 : L
→ 6 : W
→ By using the cross multiplication
∵ 1 × L = 8 × 3
∴ L = 24
∴ The actual length of the room is 24 feet
∵ 1 × W = 6 × 3
∴ W = 18
∴ The actual width of the room is 18 feet
Use the formula of the area of the rectangle to find the area of the room
∵ Area of rectangle = length × width
∴ Area of the room = 24 × 18
∴ Area of the room = 432 feet²
∴ The area of the room is 432 square feet
simplify
(8p^6)^1/3
simplifyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answers
Answer:
\(2p^2\)
Step-by-step explanation:
Step 1: Apply the exponentiation property:
\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)
Step 2: Simplify the cube root of 8:
The cube root of 8 is 2:
\(8^\frac{1}{3} =2\)
Step 3: Simplify the cube root of \((p^6)\):
The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)
Step 4: Combine the simplified terms:
\(2 * p^2\)
So, the simplified expression is \(2p^2\).
A newspaper in Germany reported that the more semesters needed to complete an academic program at the university, the greater the starting salary in the first year of a job. The report was based on a study that used a random sample of 24 people who had recently completed an academic program. Information was collected on the number of semesters each person in the sample needed to complete the program and the starting salary, in thousands of euros, for the first year of a job. The data are shown in the scatterplot below. 70 65 60 55 Starting Salary (1.000 euros) 50 45 35 30 25 5 10 15 20 Number of Semesters (a) Does the scatterplot support the newspaper report about number of semesters and starting salary? Justify your answer. b) The coefficient of determination is 0.335. Interpret this value in the context of this problem. c) Determine the value of the correlation coefficient. Interpret this value in the context of this problem.
Answers
a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.
b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.
c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.
The Correlation Coefficienta) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.
b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.
c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.
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Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding
Answers
The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.
Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.
The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.
To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.
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The parallel dotplots below display the number of cars parked for several days in each of two parking lots.
2 dotplots titled parked cars by lot. The number lines go from 21 to 29 and are labeled number of cars. For lot A, 21, 1; 23, 5; 25, 10; 27, 5; 29, 1. For lot B, A, 1; 23, 2; 24, 4; 25, 8; 26, 4; 27, 2; 29, 1.
Which of the following statements is true?
The range for the distribution of the number of cars is larger in lot A.
The range for the distribution of the number of cars is larger in lot B.
There is a smaller standard deviation in the distribution of the number of cars in lot B.
The standard deviation in the distribution of the number of cars is the same for both lots.
Answers
The distribution of the number of automobiles in lot A has a higher standard deviation than that in lot B. Then the correct option is D.
The difference between a dataset's greatest and lowest values is known as the range.
For lot A, the range is 29 - 21 = 8 which is false.
For lot B, the range is 29 - 21 = 8 which is false.
For each dataset, the mean must be determined before the standard deviation can be determined.
For lot A, the mean is:
⇒ (21 x 1 + 23 x 5 + 25 x 10 + 27 x 5 + 29 x 1) / 22 = 25
For lot B, the mean is:
⇒ (21 x 1 + 23 x 2 + 24 x 4 + 25 x 8 + 26 x 4 + 27 x 2 + 29 x 1) / 22 = 25.23
We can get the standard deviation for each dataset using these means. Lot A's standard deviation is around 2.50, whereas Lot B's standard deviation is roughly 1.97.
Therefore, statement (C) is false, and the correct statement is D.
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Can somebody please help me with this question I am completely confused I am giving lots of points and more if it is correct.
Answers
Answer:
1. Country = 160, Pop= 135
2. Country = 170, Pop = 155
3. Country = 180, Pop = 175
4. Country = 190, Pop = 195
5. Country = 200, Pop = 215
6. Country = 210, Pop = 235
7. Country = 220, Pop = 255
8. Country = 230, Pop = 275
9. Country = 240, Pop = 295
10. Country = 259, Pop = 315
Step-by-step explanation:
Replace the x in the equations with the week number then solve the equation