Answer:
8km
Step-by-step explanation:
it is 8km because it is not that much bigger than 6km
Answer:
C) 8 km
Step-by-step explanation:
x is another leg next to 6.
10 is the hypotenuse.
a^2 + b^2 = c^2
a & b are legs and c is the hypotenuse.
x^2 + 6^2 = 10^2
x^2 + 36 = 100
x^2 = 100 - 36
x^2 = 64
√x^2 = √64
x = 8
P.S It may look just slightly different, but your teacher or the program did not make it up to scale.
Hope This Helps! •v•
The Scenario: You're looking for a sponsor to pay for you to
participate in a sailboat race. Now that you've solved the
parallax problem, use the same skills you used there to write a
proposal that shows that you can win the race.
The Project: Use the information provided in the performance
task to estimate your travel costs and to calculate your average
speed and the speed of last year's winner. Use the questions
below to help you gather information to write your proposal.
Part I: Which race? Choose a city (8 points)
When you write your proposal, you'll need to tell your sponsor about the costs
and risks involved in the race you've chosen. You'll investigate these in Part I.
1. Which city did you pick and why? (2 points)
Does anyone have the answers to these
The city of Newport, Rhode Island as the location for the sailboat race. Newport is an ideal choice for several reasons. Firstly, Newport has a rich sailing heritage and is renowned for hosting prestigious sailing events, including the world-famous America's Cup.
Secondly, Newport offers exceptional sailing conditions. It is situated on the picturesque coast of New England, providing a stunning backdrop for the race. The area benefits from consistent winds and challenging tidal currents, making it an exciting and competitive racecourse. Sailors from around the world are drawn to Newport for its unique sailing experience.
Moreover, Newport offers excellent infrastructure and facilities for sailboat racing. The city has a well-established marina with ample berthing space and modern amenities. It also boasts a vibrant waterfront community, with a range of hotels, restaurants, and shops that cater to sailors and race enthusiasts. The presence of these amenities ensures a comfortable and enjoyable experience for participants and spectators alike.
Overall, selecting Newport as the race location not only aligns with the city's sailing legacy but also guarantees a challenging and captivating race for all involved. Its favorable sailing conditions and well-developed infrastructure make it an ideal choice to showcase my skills and compete against top sailors in a highly competitive environment.
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.Find the area of ΔABC with side lengths b = 12, c = 25, and included angle A = 17. Round your answer to the nearest tenth.
The area of the triangle with side lengths b = 12, c = 25, and included angle A = 17 is approximately 75.4 square units.
To find the area of ΔABC, with side lengths b = 12, c = 25, and included angle A = 17, we use the formula:
A = 1/2 bc sin A
where b and c are two sides of the triangle, A is the included angle between b and c, and A is measured in degrees.
In this case, b = 12, c = 25, and A = 17. Plugging these values into the formula, we get:
A = 1/2 (12)(25) sin 17° = 75.4 (rounded to the nearest tenth).
Therefore, the area of ΔABC is approximately 75.4 square units.
It is important to note that the units of area are always square units, which can be either square inches, square feet, square meters, etc. Also, rounding the answer to the nearest tenth means that we want the answer to be accurate to one decimal place.
Therefore, the area of the triangle with side lengths b = 12, c = 25, and included angle A = 17 is approximately 75.4 square units.
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what is(4c⁶)² x (3a⁴)-³ x 2
Solve fraction 2/3x -1/2=1/6x-1/9
Answer:
Exact Form: x=7/9 Decimal Form: 0.7 (repeating)
Step-by-step explanation:
Hope this helps!! :)
someone help please.
I NEED THIS before school ends in a hour
Sue buys lamps for $15 each and sleeping bags for $12 each. She spent a total of $600 on a total of 45 items for a large shelter.
15x + 12y = 600
x + y = 45
What does (20, 25) mean in this context?
Answer: The answer for this is 9.45
Cora is using successive approximations to estimate a positive solution to
f
(
x
)
=
g
(
x
)
, where
f
(
x
)
=
x
2
+
13
and
g
(
x
)
=
3
x
+
14
. The table shows her results for different input values of
x
.
By successive approximations we find that \(x \approx 3.3\) for \(f(x) = g(x)\).
How to find a solution of two functions by direct inspection
According to the table, the value of \(x\) must be between 3 and 3.5. \(x\) is the solution of \(f(x) = g(x)\) if and only if \(f(x) - g(x) = 0\). Let suppose that \(x = 3.3\), then:
\(3.3^{2}+13 = 3\cdot (3.3) + 14\)
\(-0.01\)
As we need only two decimals, approximation seems to be reasonable.
By successive approximations we find that \(x \approx 3.3\) for \(f(x) = g(x)\). \(\blacksquare\)
RemarkStatement is incomplete and incorrectly formatted, correct form is presented below:
Cora is using successive approximations to estimate a positive solution to \(f(x) = g(x)\), where \(f(x) = x^{2}+13\) and \(g(x) = 3\cdot x + 14\). The table shows her results for different input values of \(x\):
x f(x) g(x)
0 13 14
1 14 17
2 17 20
3 22 23
4 29 26
3.5 25.25 24.5
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Are these lines perpendicular?
yes
no
Answer: yes these lines are
Answer:
yes
Step-by-step explanation:
Perpendicular lines intersect eachother
Help me help help helppppppppppp
Answer:
61.2$
Step-by-step explanation:
I think that's how it's done.
find four rational number between -1/7 and 2/7...
Rational numbers are numbers which can be expressed as a fraction or in decimals. Integers, Whole numbers, Natural numbers are rational.
======================================================
Rational numbers between -1/7 and 2/7 : -
-0.1-0.0500.050.10.150.20.25Make a number line and find the numbers between the two given numbers.
a regression model involved 5 independent variables and 136 observations. the critical value of t for testing the significance of each of the independent variable's coefficients will have group of answer choices 121 degrees of freedom. 135 degrees of freedom. 130 degrees of freedom. 4 degrees of freedom.
The critical value of t for testing the significance of each of the independent variable's coefficients will have 130 degrees of freedom.
This is because the degrees of freedom for a t-test in a regression model with 5 independent variables and 136 observations is calculated as (n - k - 1) where n is the number of observations and k is the number of independent variables.
Therefore, (136 - 5 - 1) = 130 degrees of freedom.
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An engineer sketches a design for a flashlight that uses a mirror in the shape of a parabola to maximize the output of the light. The function representing the mirror is graphed on the left. Which function models the situation?
f(x) = (x – 6)2 + 2
f(x) = –(x – 0)2 + 20
f(x) = 3(x – 6)2 + 2
f(x) = –3(x – 0)2 + 20
The required quadratic function models the situation is f(x) = (1/2)(x - 6)² + 2. The correct answer would be option A.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
The mirror is in the shape of a parabola, which is modeled by a quadratic function of form f(x) = ax² + bx + c.
Looking at the graph, we can see that the vertex of the parabola is at (6, 2) and that the parabola opens upwards. This means that the coefficient a is positive.
The function that satisfies these conditions is:
f(x) = a(x - 6)² + 2
We can rule out options B and D because they have a negative coefficient of x², which would make the parabola open downwards.
Option A has a coefficient of 1/2 for x², which would make the parabola too wide and not narrow enough to focus the light.
The correct function is therefore:
f(x) = (1/2)(x - 6)² + 2
Hence, the correct answer would be option A.
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Please someone help me this is super easy I just forgot how to do it
Answer:
_48x +32
Step-by-step explanation:
_(16*3x_16*2)
_(48x_32)
_48*+32
Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There
are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin
have? Which system best represents the situation?
20x + Soy - 1430
10x + 5y - 1430
x+y = 1430
202.50y 49
Answer:
I believe A would be the correct one, but I'm not 100% sure, none of the others make any sense and it looks like there may be a typo on A.
Step-by-step explanation:
If Caitlin were to win a huge sum of cash. In total, she has 49 bills. She adds up $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation.
Given that Caitlin won a bag of cash, she has a total of 49 bills. She adds up to $1430. There are twenty and fifty-dollar notes available.
The system best represents the situation is,
20x + 50y = 1430
Thus, if Caitlin was to win a huge sum of cash. In total, she has 49 bills. She adds up to $1430. There are twenty and fifty-dollar bills available. The equation 20x + 50y = 1430 is the one that best describes the situation.
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What is the length of the unknown leg of the right triangle?
The length of the unknown leg of the right triangle
(Round to one decimal place as needed.)
1. Use the Pythagorean Theorem since this is a right triangle:
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
b^2 = 4^2 - 3^2
b = √ 7
b = 3
answer : 3
about ____ of the possible outcomes occur within one standard deviation of the mean\
Answer:
68%
Step-by-step explanation:
In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:
About 68% of the data falls within one standard deviation of the mean.About 95% of the data falls within two standard deviations of the mean.About 99.7% of the data falls within three standard deviations of the mean.an article gave the following observations on a maximum concrete pressure (kn/m^2): 33.3 41.8 37.4 40.2 36.7 39.1 36.2 41.8 36.0 35.2 36.7 38.9 35.8 35.2 40.1 using a normal probability plot, we ascertain that it is plausible that this sample was taken from a normal population distribution. calculate an upper confidence bound with confidence level 95% for the population standard deviation of maximum pressure.
A mean of a normal distribution's upper bound of a 95% confidence interval is 58.11.
What does "confidence interval" mean?This confidence interval would just be constructed using the Z or t distribution depending on the confidence level that was selected and the standard error of the point estimate.The standard error of the point estimate will be used to account for the variation in the important finding for every one of the outcome measures.For the given question,
sample mean μ = 554.4/15 = 36.96standard deviatio σ = 41.8sample size n = 15confidence interval = 95%The confidence bound's upper limit (UCB) is determined as follows:
UCB = μ + z(α/2)×σ/√n
Now, α/2 = (1 - 0.95)/2
α/2 = 0.025
z(α/2) = 1.96 (obtain from t-distribution table for degree of freedom)
Put the values in the formula,
UCB = μ + z(α/2)×σ/√n
UCB = 36.96 + 1.96×41.8/√15
UCB = 58.11
As a result, 58.11 is the upper bound of a 95% confidence interval for the mean of a normal distribution.
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You roll a fair die 6 times. (a) What is the probability that you roll at least one 6? (b) What is the probability of rolling 5 different numbers?
(a) The probability of rolling at least one 6 is approximately 0.665, or about 66.5%.
(b) The probability of rolling 5 different numbers is approximately 0.0772, or about 7.72%.
(a) To calculate the probability of rolling at least one 6 in 6 rolls of a fair die, we can use the complement rule: the probability of the complement (rolling no 6s) is easier to calculate, and then we subtract that from 1.
The probability of rolling no 6s in a single roll is 5/6, so the probability of rolling no 6s in 6 rolls is (5/6)^6.
Therefore, probability of rolling at least one 6 in 6 rolls is:
1 - (5/6)^6 ≈ 0.665
So the probability of rolling at least one 6 is approximately 0.665, or about 66.5%.
(b) To calculate the probability of rolling 5 different numbers in 6 rolls of a die, we can use the formula for combinations. There are 6 possible numbers that could be rolled first, 5 possible numbers that could be rolled second (since we want 5 different numbers), and so on down to 2 possible numbers that could be rolled fifth.
For the sixth roll, any of the 5 previous numbers would result in 5 different numbers, so there are 5 choices. Therefore, the total number of ways to roll 5 different numbers is:
6 × 5 × 4 × 3 × 2 × 5 = 3600
To find the probability, we divide this by the total number of possible outcomes for rolling a die 6 times, which is 6^6 = 46656. Therefore, the probability of rolling 5 different numbers in 6 rolls of a die is:
3600/46656 ≈ 0.0772
So the probability of rolling 5 different numbers is approximately 0.0772, or about 7.72%.
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if 2x ≤ g(x) ≤ x4 − x2 2 for all x, evaluate lim x→1 g(x).
The limit value is equal to 2 .
Given,
2x ≤ g(x) ≤ \(x^{4}\) − x² + 2
According to sandwich theorem,
g(x)≤ f(x) ≤ h(x)
\(\lim_{x \to \ a} g(x) = \lim_{x \to \ a} h(x) = L\)
Then,
L= \(\lim_{x \to \ a} f(x) = L\)
Here we have,
2x ≤ g(x) ≤ \(x^{4}\) − x² + 2
And so if we take the limit as x→1; then
\(\lim_{x \to \ 1} 2x = 2\\\\ \lim_{x \to \ 1} x^{4} - x^{2} + 2 = 2\\\)
Thus we can apply the sandwich theorem,
\(\lim_{x \to \ 1} g(x) = 2\)
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Correct expression:
2x ≤ g(x) ≤ \(x^{4}\) − x² + 2
18) A TV screen has a length of 15 inches.
The diagonal of the TV is 25 inches. What
is the width of the TV?
A) 400 inches
B) 40 inches
C) 20 inches D) 29.2 inches
Answer: 20 inches
Step-by-step explanation:
From the question, a television screen has a length of 15 inches while the diagonal of the TV is 25 inches. To calculate the width, we will use the hypoteneous rule.
Hypotenuse² = length² + width²
25² = 15² + width²
width² = 25² - 15²
width² = 625 - 225
width² = 400
width = ✓400
width = 20
The width of the TV is 20 inches.
CAN SOMEONE PLS HELP ME WITH THIS. YOU'LL EARN 50 POINTS!!!
Answer: W gives the weight of a puppy, in pounds, as a
function of its age, t, in months.
Step-by-step explanation:
Answer:
It A w(2)=5
Step-by-step explanation:
You see
water leaking onto a floor forms a circular pool. the radius of the pool increases at a rate of 6 cm /min. how fast is the area of the pool increasing when the radius if is 10 cm?
When the radius is 10 cm, the area of the pool is increasing at a rate of 120π cm^2/min.
To find how fast the area of the pool is increasing, we can use the formula for the area of a circle, A = πr^2, where A represents the area and r represents the radius.
Given that the radius is increasing at a rate of 6 cm/min, we can express this as dr/dt = 6 cm/min.
We want to find dA/dt, the rate of change of the area with respect to time. To do this, we can differentiate both sides of the equation A = πr^2 with respect to time:
dA/dt = d/dt (πr^2)
Using the chain rule, we have:
dA/dt = 2πr (dr/dt)
Substituting the given values, when r = 10 cm and dr/dt = 6 cm/min, we can calculate the rate of change of the area:
dA/dt = 2π(10)(6) = 120π cm^2/min
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Which descriptions match the given transformations?
Drag and drop the answer into the boxes.
Answer:
f(z) is translated 3.5 units left.
Fill in the table of values for the equation y=x+2
Answer:
Step-by-step explanation:
You didn't provide the table to fill in, so that makes this tough for us to help out.
So I'll make up a table. Y will always be equal to x + 2.
X Y
______
-2 0
-1 1
0 2
1 3
2 4
3 5
4 6
So if x = 10, y = 12.
If x = 100, y = 102.
The function fis defined by f: x→ ax² + b,
where a and b are constants.
Given that f(-2) = 2 and f(4) = 14, find the
values of a and b.
Answer:
a = 1, b = -2
Step-by-step explanation:
\(a {( - 2)}^{2} + b = 2\)
\(a( {4}^{2} ) + b = 14\)
4a + b = 2
16a + b = 14
----------------
12a = 12
a = 1, and so b = -2
What is the value of x?
Answer:
X = 40°
Step-by-step explanation:
90° + 50° = 140°
180°
-140°
=40°
Answer:
BRAINLIEST??
Step-by-step explanation:
X=40°
Please help giving up 20 points for answers
Answer:
Question 2: 6x-21
Question 1: -9x+3
Step-by-step explanation:
The conservation club has 32 members. There are 18 girls in the club.
What is the ratio of girls to boys in simplest form?
7/9
9/7
7/16
9/16
Answer: 9/7
Step-by-step explanation:
Girls = 18
Total = 32
32-18 = 14
18/14 simplify
= 9/7 (B)
Which of the following fractions is an improper fraction?
2/3
6/11
21/25
8/7
Answer:
8/7
Step-by-step explanation:
The Numerator is bigger than the denominator which in turn can be converted to a mixed fraction.
Sophie makes friendship bracelets. She uses 3/5 yard of string to make one bracelet. How much string will she need to make a bracelet for her and three friends?
Answer:
2 2/5
Step-by-step explanation:
First, we convert the fraction to decimal, since 3/5 yards is the same as 3 divided by 5 = 0.6.
Now, multiply 0.6 by 4 ( Sophie is in so 3 friends + 1) = 2.4.
Finally, we convert the decimal back a fraction which is 2 2/5, (2 whole and 2/5).
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