Answer:
-360
Step-by-step explanation:
find n:
\(a = \frac{180(n - 2)}{n} \)
\(a = \frac{180n - 360}{n} \)
\(an = 180n - 360\)
\(an - 180n = - 360\)
\((a - 180)n = - 360\)
\(n = - \frac{360}{a - 180} \)
for each of the number lines, write an absolute value equation in the form |x-c|=d, (where b is a number and c can be either a number or an expression) that has the following solution set.
Two solutions: x=1/2, x=-1/3
As a result, the solution set for \(x - (-1/6) | = 5/6 is 1/2,-1/3.\)
What are a formula and an equation?
Your example is an equation since an equation that's any statement with an equal's sign. Due of mathematicians' love of equal signs, equations are commonly used in mathematical expressions. An equation is a collection of guidelines for producing a specific outcome.
It is possible to write this absolute value equation with the solution set "1/2,-1/3" in the form |x-c|=d:
\(| x - (-1/6) | = 5/6\)
(-1/6), the halfway point from 1/2 and -1/3. In other words, (-1/6) is indeed the value on the line segment that is equally spaced from 1/2 and -1/3.
5/6, or the range between -1/3 and (-1/6), is the range between 1/2 and (-1/6).
Therefore,\(| x - (-1/6) | = 5/6\) has the solution set {1/2,-1/3}.
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What is the solution to the equation?
2(x + 7) 2/3 = 8
Answer: x = -1
Step-by-step explanation:
simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there
Someone please help and show work
Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.
11+13+14+16+17+18+20+20+21+24+25+29 = 228
There are 12 numbers, so divide by 12.
228/12 = 19. The mean is 19.
Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.
(Side note: yes, median and mean can be the same.)
Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.
Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.
-5x =30
The answer options are 6,-6,25,35
Answer:
-6 or x = -6
Step-by-step explanation:
To solve -5x = 30, divide each side by -5.
-5x / -5 = x
30 / -5 = -6
x = -6
(negative times a negative = a positive)
What is the slope of the line through
(
−
5
,
−
10
)
(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
(
−
1
,
5
)
(−1,5)
Answer:
the slope is 3,-6. this may not be correct wait for someone else whos really smart
WILL GIVE BRAINLISES
The coordinate 1 has a weight of 4, and the coordinate 4 has a weight of 2. Find the weighted average.
Answer: 3
Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.
Answer: its 2
Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2
Find the are of the shaded shape below it has two lines of symmetry (vertical and horizontal) that pass through its centre
Give your answer in cm^2
The area of the shaded shape is 62.5cm^2.
To find the area of the shaded shape, we need to break it down into simpler shapes that we can calculate the area of. From the image, we can see that the shape is composed of a rectangle and two right-angled triangles.
First, we need to find the dimensions of the rectangle. Since the shape has vertical and horizontal lines of symmetry passing through its center, we know that the rectangle is divided into four equal parts.
Therefore, the length of the rectangle is twice the length of one of the triangles, which is 5cm. So, the length of the rectangle is 2 x 5cm = 10cm. The width of the rectangle is also 5cm.
Next, we need to find the area of each of the triangles. We know that the base of each triangle is 5cm, and the height is half of the width of the rectangle, which is 2.5cm. Therefore, the area of each triangle is:
0.5 x base x height = 0.5 x 5cm x 2.5cm = 6.25cm^2
So, the total area of the two triangles is 2 x 6.25cm^2 = 12.5cm^2.
Finally, we can find the area of the shaded shape by adding the area of the rectangle and the area of the triangles:
Area = rectangle area + triangle area = 10cm x 5cm + 12.5cm^2 = 62.5cm^2.
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Please I need help. Quick please.
Answer:
I think it's c. 1/12 Sorry if I am wrong
Answer:
I think its "D" ... Reaaly sorry if i am wrong..
Step-by-step explanation:
4/ 12 months is y
4/12 = 1/3
2 kids :
1/3 divide by 2
1/3 x 1/2 = 1/6
I am really sorry if i am wrong!
A person is running a distance race at a constant rate. What time will they finish the race?
What information would you need to be able to solve the problem?
Answer:
you need the distance
Step-by-step explanation:
DISTANCE = RATE X TIME
A boat heading out to sea starts out at Point AA, at a horizontal distance of 1035 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 8^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 5^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
The angle of elevation reduces. The distance between points A and B is roughly 1,269.9 ft.
The distance between point A and the lighthouse is 968 feet.
The angle of elevation from point A to the lighthouse is 7 degrees.
Elevation angle from point B to the lighthouse = 3°
The distance between points A and B.
tan 7° = Height of the sea / 968 feet
tan(7°) 968 feet 118.86 feet = height to the lighthouse
We have from point B;
tan 3° = 118.86 / Horizontal distance from B to HL
Therefore;
Horizontal distance from LH to boat = 118.6 / tan 30° = 2237.9 = feet
Therefore;
D is the distance between A and B.
D = Horizontal distance between B and LH - Horizontal distance between A and LH
A to B distance = 2237.9 feet − 968 feet 1269.9 feet
The distance between points A and B is 1,269.9 ft.
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Answer:
The Boat traveled 628 ft, from point A to point B.
Step-by-step explanation:
Its 628 bc I just got it correct on my hw.
slope intercept form of a line -1/2x+1/4
The slope intercept form of the line will be \(y=\dfrac{-1}{2}x+\dfrac{1}{4}\)
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
The given expression is:-
\(y=\dfrac{-1}{2}x+\dfrac{1}{4}\)
The general form of the equation of the line is given as:-
y = mx + c
From the equation, the slope will be given as:-
\(m=\dfrac{-1}{2}\)
Therefore the slope intercept form of the line will be \(y=\dfrac{-1}{2}x+\dfrac{1}{4}\)
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1+2 = ?
Think outside the box
Answer:
12 because 1+2 add 1 to 2 WOW
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
1 + 1 = 1 = 3
it takes two (2) ones to make a 2. and another one makes 3
Simplify. 6 to the power of 2+3 to the power of 2.
Thanks!
Answer:
45
Step-by-step explanation:
6 to the power of 2 + 3 to the power of 2
6² + 3²
(6 × 6) + (3 × 3)
36 + 9
45
An 760g boulder has a
density of 8 g/cm². What is
the volume of the boulder?
Answer:
95 cm^2
Step-by-step explanation:
Answer:
95 cm^3
Step-by-step explanation:
Use formula density = m/v
Turn formula into: volume = m/p
760g/ 8g/cm^2 = 95 cm^3
Find the area of the figure given to the right. Round to the nearest whole number. 22 15 36 S The area of the figure is ft2
Answer:
Step-by-step explanation:
Area of left rectangle:
Length = 36 ft
Width = 8
Area1 = length * width
= 36 * 8
= 288 square feet
Area of right rectangle:
Length = 15 ft
Width = 22 - 8 = 14 ft
Area2 = 15 * 14
= 210 square feet
Area of the figure = Area1 + area2
= 288 + 210
= 498 square feet
d-4=19 d=15 answer please
Answer:
I think the answer is 8
Problem-work-interest-total
Rita needs to take out a loan for a new
car. Her loan is for $25,000. The interest
rate on the loan is 6%, and is
compounded yearly. She plans to pay off
the loan in 5 years. What will she owe
after she factors in interest?
The amount that she owes after she factors in interest will be $33,455.64.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.
Then the amount is given as,
A = $25,000 x (1 + 0.06)⁵
A = $25,000 x (1.06)⁵
A = $25,000 x 1.3382
A = $33,455.64
The amount that she owes after she factors in interest will be $33,455.64.
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have to find the side length of x for the following right triangle?
Answer:
x = 9
Step-by-step explanation:
Pythagorean theorem:\(\sf (leg_1)^2 + (leg_2)^2 = hypotenuse^2\)
\(x^{2} + 12^2 = 15^2\\\\x^{2} + 144 = 225\)
x² = 225 - 144
x² = 81
x² = 9²
x = 9
\(\boxed{x = 9}\)
b - 7(b + 2) = 10
can someone solve this?
Isolate the variable by dividing each side by factors that don't contain the variable.
b = −4
Answer:
B= -4
Step-by-step explanation:
k
9. The table shows the results from a study in which some patients were treated with a new
medical drug for sleeping disorders and others received a common sleeping pill. Use a 0.05
significance level to find the critical value needed to test for independence between the type of
sleeping pill and the presence of any adverse health condition.
Adverse health
condition reported
No adverse health
condition reported
00.004
03.841
00.751
0.100.
New Sleeping Pill Common Sleeping Pill
135
132
145
122
(1 point)
The critical value of the chi-squared statistic with a significance level of 0.05 is 3.84. Therefore, the correct answer is option B.
The null hypothesis in this case would be that there is independence between the type of sleeping pill and the presence of any adverse health condition.
The critical value needed to test for this is the chi-squared statistic with a significance level of 0.05.
To calculate the critical value, we first need to calculate the degrees of freedom, which is calculated by (rows-1) * (columns-1). In this case, the degrees of freedom is (2-1)*(2-1) = 1.
The critical value of the chi-squared statistic with a significance level of 0.05 is 3.84. This means that if the calculated chi-squared statistic is greater than 3.84, then we can reject the null hypothesis and claim that there is a significant relationship between the type of sleeping pill and the presence of any adverse health condition.
Therefore, the critical value of the chi-squared statistic with a significance level of 0.05 is 3.84. Therefore, the correct answer is option B.
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Calculate the amount of heat released when 27.0 g H2O is cooled from a liquid at 314 K to a solid at 263 K. The melting point of H2O is 273 K. Other useful information about water is listed below. Cp,liquid = 4.184 J/(g•K) Cp,solid = 2.093 J/(g•K) ΔHfusion = 40.7 kJ/mol
Step-by-step explanation:
The amount of heat released in the given situation would be as follows:
-66.2 KJ−66.2KJ
Given that,
Weight of H2OH2O = 27g=27g
The Temperature of the Liquid = 314 k=314k
The Temperature of the Solid = 263 K=263K
Melting point of H2O = 273 KH2O=273K
To find,
The amount of heat released = [Q[Q × C_{p}lC
p
l ×(T_{final} - T_{Initial} ) +(T
final
−T
Initial
)+ Δ Hfusion + [mHfusion+[m × C_{p}sC
p
s × T_{final} - T_{Initial} ]T
final
−T
Initial
]
By putting the values in the above formula,
∵ Heat released = -66.2 KJ−66.2KJ
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Christina has these two tiles. Draw a new shape she can create with both tiles. Then name the shape and how many sides the new shape has.
Square and triangle
Answer:
quadangle
Step-by-step explanation:
a square made of triangles and If a triangle is called a triangle, why is a square not called a quadangle?
Squares and triangles can be combined to form a pentagon
The new shape is a pentagon.The shape has 5 sides.The two shapes are given as:
SquareTriangleWhere the base of the square equals the side length of the triangle
When these shapes are combined i.e. when the base of the triangle is merged with the side length of the square, then it forms a pentagon.
See attachment for the image of the new shape.
From the attached image, we can see that the shape has 5 sides
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It takes 9 builders 54 days to complete a house.
How long would it take 6 builders to complete the same house?
Answer:
81 days
Step-by-step explanation:
Formula to solve this type of equation \(t=\frac{k}{p}\)
t is time
k is a constant
p is people
We must substitute the values into the equation
\(54=\frac{k}{9}\)
\(k=486\)
Now we must substitute it to find the time
\(t=\frac{486}{6}\)
you get 81
It would take \(6\) builders \(36\) days to complete the same house.
Who are builders?Builders are those person whose job is to build or repair houses and other buildings.
We have,
\(9\) builders take \(54\) days to complete a house.
So,
\(1\) builder will take \((\frac{54}{9})\) days to complete a house,
In the same way,
\(6\) builder will take \((\frac{54}{9}*6)\) days to complete a house,
i.e.
\(6\) builder \(=(\frac{54}{9}*6)= 36\) days.
Hence, we can say that it would take \(6\) builders \(36\) days to complete the same house.
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find the expected value of the winnings from a game that has the following payout I cannot proceed without your help :)
The expected value of the winnings from the game is $3.24.
To find the expected value of the winnings, we multiply each possible payout by its corresponding probability and sum them up.
Expected Value = (2 x 0.64) + (4 x 0.18) + (6 x 0.12) + (8 x 0.04) + (10 x 0.02)
Expected Value = 1.28 + 0.72 + 0.72 + 0.32 + 0.20
Expected Value = 3.24
Therefore, the expected value of the winnings from the game is $3.24.
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What is the value of x?
Answer:
x = 10.
Step-by-step explanation:
(5x-1) + (8x+5) + (4x+6) = 180 (the 3 angles in a triangle sum to 180 degrees).
5x + 8x+ 4x - 1 + 5 +6 = 180
17x + 10 = 180
17x = 170
x = 10.
What is the slope-intercept form of the following equation?
-3x+2y=12
Options:
2y= 3x+12
y=− 3/2x+6
y= 3/2x+6
y= 3/2x−6
Answer:
y = 3/2x + 6
Step-by-step explanation:
1. Add 3x to both sides (2y=3x+12)
2. Divide both sides by 2 to isolate the y (y=3/2+6)
12 / 3 + 6 x 2? can anyone help?
Answer:
16
Step-by-step explanation:
12 divided by 3 = 4 and 6*2 = 12
12+4=16
The value of this answer is 16
To solve this expression, we will apply the properties of mathematical operations.
- First, we multiply or divide
- Second, we subtract or add
Resolution
12/3 + 6 x 2
4 + 6 x 2
4 + 12
16
So, the correct value is 16
When is buying a house better renting?
Answer:
i dont understand the question
A house and renting depends on your unique circumstances and priorities. These factors and consider consulting with a financial advisor or real estate professional provide personalized guidance based on your situation.
Deciding whether buying a house is better than renting depends on various factors, including your personal circumstances, financial situation, and long-term goals. Here are some considerations to help you evaluate the decision:
Financial Stability: Buying a house typically involves a significant upfront cost, including down payment, closing costs, and ongoing expenses like mortgage payments, property taxes, and maintenance. Ensure you have a stable income and sufficient savings to handle these financial obligations.
Long-Term Plans: If you plan to settle in a specific location for an extended period, buying a house can provide stability and potential appreciation in value. Renting, on the other hand, offers more flexibility if you anticipate changes in your job, family, or lifestyle that may require relocation.
Market Conditions: Assess the local housing market to determine if it favors buyers or renters. Consider factors such as property prices, mortgage interest rates, and rental costs. In some markets, renting may be more affordable than buying, while in others, buying could be a better investment.
Lifestyle and Preferences: Owning a home grants you the freedom to personalize and modify the property to suit your needs. Renting often comes with limitations on making changes. Consider whether homeownership aligns with your lifestyle and if you prefer the responsibilities and benefits of homeownership.
Equity and Investment: Buying a house allows you to build equity over time as you pay down your mortgage, potentially providing a valuable asset in the future. Renting, however, does not offer this opportunity for equity growth.
Maintenance and Upkeep: Homeownership comes with the responsibility of maintenance and repairs, which can incur additional costs and effort. Renting typically shifts these responsibilities to the landlord or property management.
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Determine the pattern rule for the table and write it as an equation.I have absolutely no idea how to do this-
Answer:
y=4x+0
Explanation:
On observation, we see that from the values in the table.
• The values of y keep increasing by 4
When x=-1, y=4(-1)=-4
When x=0, y=4(0)=0
When x=1, y=4(1)=4
Therefore, we can say that for any x, the value of y can be gotten by:
\(y=4x\)Since this works, it means that there is nothing more to add. So we have:
\(y=4x+0\)Planes A and B are shown.
m
Mark this and return
If a new line, p, is drawn parallel to line /, which
statement is true?
O Line p must be drawn in plane B.
Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line /.
O Line p must be drawn in the same plane as line n.
Save and Exit
Next
Submit
The correct statement is that "Line p must be drawn in plane B."
If a new line, p, is drawn parallel to line /, the statement that is true is "Line p must be drawn in plane B."
To understand this, let's analyze the given information:
Planes A and B are shown.
Line m is shown in plane A.
Line n is shown in plane B.
Line / is the line that connects planes A and B.
When a new line, p, is drawn parallel to line /, it means that line p will also connect planes A and B. However, since line / itself is connecting planes A and B, line p must also lie in plane B to maintain its parallel relationship with line /. This is because parallel lines lie in the same plane.
This ensures that line p remains parallel to line / and maintains its connection between planes A and B.
It is important to note that line p being drawn in plane B does not necessarily imply that it intersects with line n. It simply means that line p lies within plane B and remains parallel to line /.
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