Step-by-step explanation:
Given:
Our initial temperature is 88.6
It lowers every minute 2 degree . We want it to stay greater 60.5.
So our inequality is
\(88.6 - 2m > 60.5\)
Why?
The left side is in a linear equation form because we have a initial temperature and then it decreases constantly every period of time. Using that info, that is the same as a decreasing linear function.
We put greater than because it says stay above.
So know we solve for m.
\(88.6 - 2m > 60.5\)
\( - 2m > - 28.1\)
\(m <14.05\)
Remeber when dividng by a negative the sign flips. So
m<14.05
2. Sean arrives in Paris at 10:37am. He spends
next 4 hours 45 minutes in sight seeing and
further 38 minutes in a taxi to go to hotel. What
time does Sean reach the hotel?
Answer:
4pm
10:37 + 4:45 hours +38 min makes arrival time 4pm
find the value of x
Therefore, the value of x in the right triangle is 24 cm.
What is triangle?A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and the measure of each angle depends on the lengths of the sides and the type of triangle. There are different types of triangles based on their side and angle measures, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles have various properties and formulas that are used in geometry and other fields.
Here,
In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse. Therefore, in this case, 25 cm is the hypotenuse of the triangle.
Using the Pythagorean Theorem, we can find the missing length x:
a² + b² = c²
where a and b are the lengths of the legs of the right triangle and c is the length of the hypotenuse.
In this case, a = 7 cm, b = x, and c = 25 cm.
Substituting these values into the Pythagorean Theorem, we get:
7² + x² = 25²
49 + x² = 625
x² = 625 - 49
x² = 576
x = √576
x = 24
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how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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Its about fractions please help me
The times the 7 in the Susan's scores is greater than Sarah's score is 100 times
How many times is the 7 in the scores greater than the otherFrom the question, we have the following parameters that can be used in our computation:
Susan = 87, 325
Sarah = 46, 175
The values of the 7's in their scores are
Susan = 7, 000
Sarah = 70
So, we have
Number of times = 7000/70
Evaluate
Number of times = 100
Hence, the number of times is 100
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8. [-/1 Points]
SPRECALC7 1.7.071.
A pilot flew a jet from City A to City B, a distance of 1600 ml. On the return trip, the average speed was 20% faster than the outbound speed. The round-trip took 8 h 20 min. What was the speed from
City A to City B?
mi/h
DETAILS
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
The speed from City A to City B is 352 miles/hour.
What is the relationship between speed, distance, and time?By dividing the distance traveled by the time required to travel it, speed is calculated.Speed is inversely correlated with time and directly correlated with distance. Thus, distance equals speed times time.Distance divided by speed equals time; as speed rises, time goes down, and vice versa.Given:
Distance for trip = 1600 miles
Distance for return trip = 1600 miles
The round-trip took 8 h 20 min.
Total time taken for both trips = 8 hours 20 minutes = 8 + (1/3) hours = 25/3 hours
It is mentioned that on the return trip, the average speed was 20% faster than the outbound speed.
Let's assume x is the speed for an outbound trip.
So, x + 20% of x is the average speed of the return trip
x + 20% of x = x + 0.2x = 1.2x
Speed for the return trip = 1.2x
Total time = (distance/speed of outbound trip) + (distance/speed of return trip)
⇒ \(\frac{25}{3} =\frac{1600}{x} +\frac{1600}{1.2x}\)
⇒ \(\frac{25x}{3} =\frac{1600*1.2 +1600}{1.2}\)
⇒ \(10x = 3520\)
⇒ \(x = 352\)
Therefore, the speed from City A to City B is 352 miles/hour.
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For a dance, the student government bought 198 carnations at $.49
each. What is the best estimate of the total amount paid for the
carnations?
Answer:100.00$
Step-by-step explanation:
Round 198 and $0.49 to 200 and $0.50. Multiply 200 x $0.50 and you get 100.
Which expression has both eight and N factors
Answer:
8n
Step-by-step explanation:
8n is the factor of both 8 and n. in the following question. Factor ⇒ If a number, that use to divide another number and we get zero as a remainder, the number is called the factor of another number.
write an equation for a line parallel to y = − 2 x − 3 and passing through the point (3,-3)
Equation of line parallel to y = − 2 x − 3 and passing through the point (3,-3) is y = -2x + 3.
When two lines are called parallel?
Two lines are parallel lines if they do not intersect.
The slopes of the lines are the same.
f(x)= mx + b and g(x)= nx + c are parallel if m = n.
According to the given question:
Given equation of line is y = −2x − 3
If the new line is parallel, then it will have the same slope.
y = -2x + b
Now this line passes through the point (x,y) = (3,-3) so put in the x and y values into the equation above, solve for b
-3 = -2(3) + b
b = 3
Therefore the required equation of line is
y = -2x + 3
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The area of a rectangle is 24, 396 square
centimeters. If the width is 38 centimeters,
what is the length? How do you
know?
Answer:
The area of a rectangle is 24,396 square centimeters. If the width is 38 centimeters what is the length?
Area = L*W
L = Area/W = 24396/38
L = 642 cm
Can someone help me with questions 10 and 11 please
Answer:
1. y=7/2x-3
2.y=1/4x+7
need some help on this question
The value of the unknown in triangle is F = 90 degrees, angle D = 37 degrees, angle E = 53 degrees, f = 18.33 units, d = 11 units, and e = 14.59 units.
What are trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are several distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.
Given that, angle F = 90 degrees, angle D = 37 degrees and d = 11 units.
Using the sum of interior angles of triangle we have:
angle F + angle D + angle E = 180
90 + 37 + angle E = 180
angle E = 53 degrees.
Now, using the trigonometric identities we have:
sin (37) = d / f = 11/f
f = 11 / 0.60
f = 18.33
Using tan we have:
tan (37) = d/e = 11 / e
e = 14.59
Hence, the value of the unknown in triangle is F = 90 degrees, angle D = 37 degrees, angle E = 53 degrees, f = 18.33 units, d = 11 units, and e = 14.59 units.
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I will give you brainlist if it is correct. What is the solution to this system of equations?
Answer:
The correct answer is the last option (-2, 8)
Step-by-step explanation:
You can see that the lines intersect at the point -2, 8.
Hope this helped! :)
Answer:
D.
Step-by-step explanation:
The point (-2,8) is the only given point that is on the two lines in this graph.
If you want to make sure, you can just use a graphing calculator on your laptop/ computer & zoom in on it. Hopefully this helps & gets a brainliest. Thx for giving me time.
What is the greatest number of acute angles that a triangle can contain?
A.3
B.1
C.0
D.2
Answer:
3
Step-by-step explanation:
We know that the sum of the angles of a triangle is 180
Assume that the angles are equal
x+x+x = 180
3x= 180
x = 180/3 =60
All three angles are less than 90 which makes them acute so we know that we can have 3 acute angles
Debra bought 4 hammers and 6 tape measures for $94. Heather bought 5 hammers and 3 tape measures for $77 . Letting x represent the price of each hammer and y represent the price of each tape measurewrite a cost equation for both Debra and Heather
The cost equation for Debra is given by 4x + 6y = 94 and for Heather is 5x + 3y = 77.
What are Linear equations in two variables?Linear equations in two variable have one, none, or infinitely many solutions, with the highest exponent order of 1 in each of the two variables. The standard form of a two-variable linear equation is ax + by + c = 0, where x and y are variables. Solutions can also be written in pairs, for example (x, y). A two-variable linear equation system is represented graphically by two straight lines that can intersect, parallelize, or coincide.
According to the given condition, we have 2 equations:
4x + 6y = 94
5x + 3y = 77
Now, multiply by 2 on both sides of the equation 5x + 3y = 77 to obtain:
10x + 6y = 154
Now, subtracting the equation 10x + 6y = 154 and 4x + 6y = 94.
[10x + 6y = 154] - [ 4x + 6y = 94]
6x + 0y = 60
x = 10
Putting the value of x = 10 in equation 4x + 6y = 94, we get
y = 9
So, the cost of 1 hammer is 10$ and tape is 9$.
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The subtotal on a restaurant bill was $45.00. The customer paid $47.81 after taxes, not including a tip. What was the tax rate? Round your answer off to the nearest tenths place.
Answer:
6.2 percent
Step-by-step explanation:
47.81 - 45 = 2.81
2.81/45
The tax applied on the bill is given as 6.2%.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The amount of bill is given as $45.
And, the final amount after tax is $47.81.
The tax rate can be obtained as follows,
Difference of bill amount before and after tax ÷ Original amount × 100.
⇒ (47.81 - 45) ÷ 45 × 100
⇒ 6.24%
Which is approximately 6.2%.
Hence, the tax rate can be obtained as 6.2%.
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Simon bought a $48 table on sale at 30% off.
Select from the drop-down menu to correctly complete the sentence
0.03(50)
0.3(50)
3(50)
30(50).
Simon bought a $48 table on sale. The price of the table can be estimated by $50.
The sale propose 30% off, then an estimate for the discount can be calculated using proportion:
$50 -- 100%,
$x -- 30%
that is mathematically
Find x:
Answer: correct choice is B
which of the following have a rate of change of 3?
If f(x) = x³ and g(x) = (x + 4)³, which description represents the graph of function g?
A. A horizontal transformation of function f 4 units right
B. A vertical transformation of function f 4 units down
C. A vertical transformation of function f 4 units up
D. A horizontal transformation of function f 4 units left
The graph of function is g a horizontal transformation of function f 4 units left.
What is Graph transformation?Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.
According to the question
f(x) = x³
g(x) = (x + 4)³
Now, Plotting the graph of f(x) and g(x)
Points for f(x) = x³
x f(x)
0 0
1 1
2 8
-1 -1
-2 -8
Points for g(x) = (x + 4)³
x g(x)
-4 0
-3 1
-2 8
-1 27
0 64
By observing the graph of both f(x) and g(x) ,
The graph transformation of f(x) to g(x) :
The graph of f(x) is transformed 4 unit left horizontally
Hence, the graph of function is g a horizontal transformation of function f 4 units left
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Answer:
The answer is D. 4 units left
Step-by-step explanation:
100% on plato
In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
True
False
False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.
What is exponential decay function?
In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.
It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.
How do you calculate an exponential function?
The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.
The exponential function, which has the form, is a significant mathematical function. f(x) = ax.
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Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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Sally owns a restaurant in Wooville. The city is trying to get a minor league team to move there in 2021, either to location A (near her restaurant) or location B. The team might stay in location C in another city. The probability of these events, and her estimated annual profit in 2021 are shown in the table below.
The standard deviation of the restaurant profits in 2021 is given by $71181.
Restaurant profit for outcome 'move to A' = $ 260000
Restaurant profit for outcome 'move to B' = $ 120000
Restaurant profit for outcome 'stay in C' = $ 100000
The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.
Standard deviation of the restaurant profits in 2021 is given by
= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)
= $ √(((100000)² + (40000)² + (60000)²)/3)
= $ √(15200000000/3)
= $ √5066666667
= $ 71181 (rounded to the nearest dollar)
Hence standard deviation of the restaurant profits in 2021 is given by $71181.
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The question is incomplete. The complete question will be -
Cone B is the image of cone A after dilation by a scale factor of 1/4.
If the volume of cone B is 1 m³, find the volume of cone A, the preimage.
The volume of the Cone A will be 4m³.
What is a cone?
A cone is a shape constructed by connecting a common point, known as the apex or vertex, to all the points of a circular base using a collection of line segments (which does not contain the apex). The height of the cone is the distance from the vertex to the base. The radius of the circular base has been measured. The slant height is the length of the cone from the apex to any point on the perimeter of the base. Based on these values, formulae for the cone's surface area and volume have been developed. The cone in the illustration is characterised by its height, radius of base, and slant height.
Volume of cone=πr²h where r=radius of base and h=height of cone
Curved surface area=πrL , where L=slant height
Now,
As given Cone B is the image of cone A after dilation by a scale factor of 1/4. If the volume of cone B is 1 m³
After dilation volume also decreases/increases with respect to scale factor of dilation. Here scale factor is 1/4
and Then volume of A=1*4
=4 m³
hence,
The volume of the Cone A will be 4m³.
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Answer: it is actually 64m^3
Step-by-step explanation:
i did it and this was the right answer
find the value of angle BAC
Answer:
The value of angle BAC = 75°
Step-by-step explanation:
=> Angle BAC + 105° = 180°
=> Angle BAC = 180° - 105°
=> Angle BAC = 75°
At an airport, 79% of recent flights have arrived on time. A sample of 7flights is studied. a.Compute the mean of this probability distribution. Round to two decimal places, if needed.b.Compute the standard deviation of this probability distribution. Round to two decimal places, if needed.c.Find the probability that exactly4of the flights were on time. Round to three decimal places.d.Find the probability that lessthan 4of the flights were on time. Round to three decimal places.e.Find the probability that more than 5of the flights were on time. Round to three decimal places. f.Find the probability that at least5of the flights were on time. Round to three decimal places.g.Find the probability that no more than 5of the flights were on time. Round to three decimal places
Answer:
a. 5.53
b. 1.078
c. 0.126
d. 0.109
e. 0.549
f. 0.834
g. 0.451
Step-by-step explanation:
The percentage of the flights that arrive on time, P(x) = 79%
The number of flights in the sample, n = 7 flights
a. The mean of the probability distribution, μ = ∑x·P(x)
Therefore, we have; μₓ = n·p
μₓ = 7 × 79/100 = 5.53
b. The standard deviation, σₓ = √(n·p·(1 - p))
∴ σₓ = √(7 × 0.79 × (1 - 0.79)) ≈ 1.078
c. We have;
p = 0.79
q = 1 - p = 1 - 0.79 = 0.21
By binomial probability distribution formula, we have;
The probability of exactly four, P(Exactly 4) = ₇C₄·p⁴·q³
P(Exactly 4) = 35 × 0.79⁴×0.21³ ≈ 0.12625
d. The probability of less than 4 is given as follows;
P(Less than 4) = ₇C₀·p⁰·q⁷ + ₇C₁·p¹·q⁶ + ₇C₂·p²·q⁵ + ₇C₃·p³·q⁴
∴ P(Less than 4) = 1×0.79^0 * 0.21^7 + 7 * 0.79^1 × 0.21^6 + 21*0.79^2*0.29^5+ 85×0.79^3*0.21^4 ≈ 0.109
The probability of less than 4 is ≈ 0.109
e. The probability that more than 5 is given as follows;
P(More than 5) = ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.549
f. The probability that at least 5 of the flight were on time is given as follows;
P(At least 5) = ₇C₅·p⁵·q² + ₇C₆·p⁶·q¹ + ₇C₇·p⁷·q⁰
∴ P(At least 5) = 21×0.79^5 * 0.21^2 + 7×0.79^6 * 0.21 + 1 * 0.79^7 × 0.21^0 ≈ 0.834
g. For the probability that no more than 5 of the flights were on time, e have;
P(At most 5) = 1 - P(More than 5)
∴ P(At most 5) = 1 - 0.549 ≈ 0.451.
PLEASE HELP MEEEEEEE I NEED THIS QUICK
Which of the following best defines the two quantities that are measured to find the call rate of a phone company? (5 points)
Group of answer choices
The quantity of price measured in dollars depends on the quantity of time measured in minutes.
The quantity of time measured in minutes depends on the quantity of price measured in dollars.
The quantity of time measured in minutes depends on the quantity of speed measured in calls per minute.
The quantity of speed measured in calls per minute depends on the quantity of time measured in minutes.
Answer:
A: The quantity of the price would be measured in dollars depends on the quantity of time measured in minutes.
Step-by-step explanation:
A seemed like the best answer to me. I hope I helped
Which graph represents the function y = -2cos(21x)?
y
3-
2+
1+
АЛЛАА
-0
-
4
همانا +
3
十四
4
5л 3л 7 2л х
4 2
4
2
-3+
Ur just messing around arent u "همانا " is literally a different language ._.
At the U.S. Open Ternis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was mound-shaped and symmetric. What proportion of the player's serves was between 110 mph and 136 mph
Step-by-step explanation:
At the U.S. Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 102 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph.Need help on this plz and thanks
Answer:
y = 5x - 25
Step-by-step explanation:
Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.
10 = 5 * (7) + b
10 = 35 + b
-25 = b
So final equation is y = 5x - 25.
Which of the following is the fourth vertex needed to create a rectangle with vertices located at (−15, 3), (−15, −6), and (25, −6)?
(−6, 25)
(−25, −3)
(6, −25)
(25, 3)
The missing fourth vertex needed to create a rectangle is (25, 3) option D.
Define the term vertices?Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.
Here, the width of one side of the rectangle;
⇒ +3 - (-6) = 9 unit (left side y-coordinates)
Similarly the length of the rectangle;
⇒ 25 - (-15) = 40 unit (up-side x-coordinates)
Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)
So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:
⇒ (25, -6+9) = (25, 3)
⇒ (-15+40, 3) = (25, 3)
Therefore, the missing fourth vertex is (25, 3)
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Mia used 1/7 of an ounce of nuts to make 1/5 of a cake. How many ounces of nuts are needed to make a whole cake?
Answer:
For this case we can apply the following proportional rule:
Step-by-step explanation:
1/7 nuts. x
------------ = ----------
1/5 cake. cake
and solving for x we got:
x = 1/7
------- = 5/7 nuts
1/5
then the answer for this case would be 5/7 nuts
your welcome