Answer:
To predict the tide depth at 2:30am and 10:30am on the first day of the data, we need to analyze the given values and make an assumption about the pattern or trend of the tide depths.
Looking at the given data, we can observe that the tide depth values fluctuate throughout the day. Let's calculate the average rate of change in tide depth per hour using the given values:
Rate of change for the first interval:
From 00:42 to 06:29, the change in tide depth is 1.18 - 0.38 = 0.80
Time difference: 06:29 - 00:42 = 5 hours and 47 minutes ≈ 5.78 hours
Rate of change: 0.80 / 5.78 ≈ 0.1386 units/hour
Rate of change for the second interval:
From 06:29 to 12:08, the change in tide depth is 0.46 - 1.18 = -0.72
Time difference: 12:08 - 06:29 = 5 hours and 39 minutes ≈ 5.65 hours
Rate of change: -0.72 / 5.65 ≈ -0.1274 units/hour
Rate of change for the third interval:
From 12:08 to 18:44, the change in tide depth is 1.62 - 0.46 = 1.16
Time difference: 18:44 - 12:08 = 6 hours and 36 minutes ≈ 6.6 hours
Rate of change: 1.16 / 6.6 ≈ 0.1758 units/hour
Based on the average rates of change calculated, we can estimate the tide depth at 2:30am and 10:30am on the first day:
1. Estimating tide depth at 2:30am:
From 00:42 to 02:30, the time difference is 2 hours and 48 minutes ≈ 2.8 hours.
Using the average rate of change calculated earlier (0.1386 units/hour), the estimated change in tide depth would be approximately 0.1386 * 2.8 ≈ 0.388 units.
Therefore, the predicted tide depth at 2:30am would be 0.38 + 0.388 ≈ 0.768 units.
2. Estimating tide depth at 10:30am:
From 06:29 to 10:30, the time difference is 4 hours and 1 minute ≈ 4.02 hours.
Using the average rate of change calculated earlier (-0.1274 units/hour), the estimated change in tide depth would be approximately -0.1274 * 4.02 ≈ -0.512 units.
Therefore, the predicted tide depth at 10:30am would be 1.18 + (-0.512) ≈ 0.668 units.
Comparing the predicted tide depths, we can observe that the tide depth at 2:30am (0.768 units) is higher than the tide depth at 10:30am (0.668 units). This suggests a rising tide pattern during the early morning hours and a subsequent falling tide pattern later in the morning.
It is important to note that these predictions are based on the assumption of a consistent rate of change in tide depth. However, in reality, tide patterns can be influenced by various factors such as lunar cycles, weather conditions, and geographical features. Therefore, the actual tide depths may deviate from these predictions.
To obtain more accurate predictions, it is recommended to consult
official tide tables or local authorities responsible for monitoring tides, as they consider a broader range of factors to determine tide patterns and depths.
I could use some help to find out Tony’s mistake(s)
To find the shaded area you subtract the area of the triangle from the area of the rectangle:
\(A_{shaded}=A_{rec\tan gle}-A_{triangle}\)\(\begin{gathered} A_{shaded}=w\cdot l-\frac{1}{2}b\cdot h \\ \\ A_{shaded}=(5cm)(11cm)-\frac{1}{2}(5cm)(3cm) \end{gathered}\)Then, Tony's mistake was that he added the areas instead of subtract it.
The shaded are is:
\(\begin{gathered} A_{shaded}=55cm^2-\frac{15}{2}cm^2 \\ \\ A_{shaded}=55cm^2-7.5cm^2 \\ \\ A_{shaded}=47.5cm^2 \end{gathered}\)Then, the shaded area is 47.5 square centimetersPlease help finding missing angles
Step-by-step explanation:
(a) a° +60°+35°=180 (sum of angles in a triangle)
a° +95° = 180
a° = 180-95 = 85°
(b) 80°+75°+ b° = ( sum of angles in a triangle )
155°+b° =180°
b= 180-155 =25°
(c) 61°+73°+c° = 180°
134° + c° = 180°
c° = 180-134= 46°
(d) since this is a right angled triangle
d°+ 37° + 90° = 180°
127°+ d° = 180°
d° = 180- 127= 53°
(e) 11°+132° +e° = 180°
143° + e° = 180
e° = 180-143 = 37°
(f) this is also a right angled triangle
44° +f° +90° 180°
134° + f° = 180
f ° = 180° - 144° = 36°
11. How many combinations of four can you make from the set?
25 baseball cards
Put your answer in the form [XXXXX]. Please do not insert a comma.
Explain why it is necessary to check whether the population is approximately normal before constructing a confidence interval.
Checking for approximate normality in the population is essential for constructing a valid confidence interval, particularly when dealing with small sample sizes. This ensures the accuracy and reliability of the interval in estimating the true population parameter.
It's important to check whether the population is approximately normal before constructing a confidence interval because the accuracy and validity of the interval depend on the underlying distribution of the population. Here's a step-by-step explanation:
1. A confidence interval is a range of values within which the true population parameter (e.g., mean or proportion) is likely to fall, with a certain level of confidence (e.g., 95% or 99%).
2. The process of constructing a confidence interval relies on the Central Limit Theorem, which states that, for large sample sizes, the sampling distribution of the sample mean will be approximately normal, regardless of the population distribution.
3. However, for small sample sizes, the distribution of the population needs to be approximately normal in order to obtain an accurate confidence interval. This is because the normality assumption is crucial for the proper interpretation of the interval.
4. If the population is not approximately normal, the confidence interval may not provide a reliable estimate of the true population parameter, leading to incorrect conclusions and potentially invalid results.
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Alexander is a stockbroker. He earns 13% commission each week. Last week, he sold $7,500 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011? Last week, he made $ in commission.
EXPLANATION
Let's see the facts:
%Earns= 13% commission/week
Last week sold = $7,500
In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:
$Earns = 0.13 (decimal form)*$7,500
Earns = $975
Last week, he made $975 in commission.
If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year
Mark raised $405 for his softball team's fundraiser. he wants to raise at least $825. write and solve an inequality to determine how much more money mark must raise to reach his goal. let d represent the amount of money in dollars mark must raise to reach his goal.
Answer: d ≥ 825-405
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the date on which the loan amount is to be fully paid is called
The date on which the loan amount is to be fully paid is called the maturity date.
The maturity date is an essential component of a loan agreement, particularly for loans with a fixed repayment schedule. It represents the deadline by which the borrower is required to repay the entire loan amount, including any interest and fees.
When a loan is taken out, the lender and borrower agree upon the terms and conditions, including the repayment schedule. The maturity date is determined based on these terms, specifying the duration over which the borrower is expected to make regular payments.
For example, in a mortgage loan, the maturity date could be set for 30 years from the loan origination date. This means that the borrower has 30 years to repay the loan in full, either through monthly installments or other agreed-upon payment arrangements.
The maturity date is important for both the lender and the borrower as it establishes a clear timeline for the loan repayment. It helps ensure that the borrower understands the duration of the financial obligation and allows the lender to plan their cash flows and monitor the progress of the loan repayment.
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Does anyone understand these? If so can you help me out please?
Answer:
Rotate it so the triangle is pointing down, and that's rotating it 90°
Rotate it so the triangle is pointing to the left, and that's 180°
Rotate it so the triangle is pointing up, and that's 270°
Step-by-step explanation:
help me pls if you the question
Answer:
\(90= 2 \times 3^2 \times 5\)
Step-by-step explanation:
\(90= 2 \times 3 \times 3 \times 5\)
\(90= 2 \times 3^2 \times 5\)
Answer:
2,3,5
What does prime number mean?
=> A prime number is a number which can be written only as a product of 1 and itself.
Please see the attached picture
Hope it helps..
Good luck on your assignment..
Which two details support the key idea that pollution is threatening marine life?
Marine Debris
Source: The National Oceanic and Atmospheric Association
Marine debris is a persistent pollution problem that reaches throughout the entire ocean and Great Lakes. Our ocean and waterways are polluted with a wide variety of marine debris, ranging from tiny microplastics, smaller than 5 mm, to derelict fishing gear and abandoned vessels. Worldwide, hundreds of marine species have been negatively impacted by marine debris, which can harm or kill an animal when it is ingested or they become entangled, and can threaten the habitats they depend on. Marine debris can also interfere with navigation safety and potentially pose a threat to human health.
All marine debris comes from people with a majority of it originating on land and entering the ocean and Great Lakes through littering, poor waste management practices, storm water discharge, and extreme natural events such as tsunamis and hurricanes. Some debris, such as derelict fishing gear, can also come from ocean-based sources. This lost or abandoned gear is a major problem because it can continue to capture and kill wildlife, damage sensitive habitats, and even compete with and damage active fishing gear.
Answer:
Worldwide, hundreds of marine species have been negatively impacted by marine debris, which can harm or kill an animal when ingested or they become entangled, and can threaten the habitats they depend on.
This lost or abandoned gear is a major problem because it can continue to capture and kill wildlife, damage sensitive habitats, and even compete with and damage active fishing gear.
Step-by-step explanation:
The key idea is that pollution is threatening marine life impact of marine life and the source of marine debris.
Marine debris is risky to a wide variety of marine animals. Animals can ingest debris, which can cause health problems or death, or they may get caught in debris, which can be equally harmful. In addition, marine debris harms the environments in which many species rely on being alive.
The greater part of marine garbage is caused by human activity on land. Marine debris is produced by poor waste management methods, dumping waste, stormwater discharge, and natural disasters such as tsunamis and hurricanes. Furthermore, ocean-based sources, such as wasted fishing gear, contribute to the problem.
The key idea is that pollution is threatening marine life impact of marine life and the source of marine debris.
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Three payments of $2000 each (originally due six months ago, today, and six months from nown have been renegotlated to two payments: $3000 due one month from now and a second payment due in four months. What must the second payment be for the replacement payments to be equivalent to the originally scheduled payments? Assume that money can earn an interest rate of 4%.Choose a focal date four months from now. (Do not round intermedlete calculations and round your final answer to 2 decimel pleces.) Second payment
To make the replacement payments equivalent to the originally scheduled payments, the second payment should be $2053.79.
The value of money changes over time due to interest. To calculate the second payment needed to make the replacement payments equivalent to the originally scheduled payments, we need to consider the present value of the three original payments and compare it to the present value of the two replacement payments.
Given an interest rate of 4%, we can use the present value formula to calculate the equivalent payment. Let's choose a focal date four months from now. The present value of the original payments is:
PV_original = $2000/(1+0.04)^0 + $2000/(1+0.04)^6 + $2000/(1+0.04)^12
Using a financial calculator or spreadsheet, we find that PV_original ≈ $5581.46.
Now, we need to find the second payment of the replacement plan that will have the same present value. We set up the equation:
$3000/(1+0.04)^1 + X/(1+0.04)^4 = PV_original
Solving for X, we find X ≈ $2053.79.
Therefore, the second payment of the replacement plan should be $2053.79 to make the replacement payments equivalent to the originally scheduled payments.
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what is the line integral of around the clockwise-oriented triangle with corners at the origin, , and ? hint: sketch the vector field and the triangle.
The actual calculation depends on the specific vector field you are working with. You need to substitute the appropriate expressions for P and Q into the integrals and evaluate them accordingly.
To evaluate the line integral around the clockwise-oriented triangle with corners at the origin (0,0), (1,0), and (0,1), we need to sketch the vector field and the triangle and then calculate the integral.
Next, let's assume there is a vector field defined over the plane. Since you haven't provided the vector field explicitly, let's use a general notation and consider a vector field F = (P, Q), where P and Q are functions of x and y.
To calculate the line integral, we need to parameterize the triangle. We can divide the triangle into three line segments and parametrize each segment separately.
Line segment from (0,0) to (1,0):
Let's parameterize this segment as r(t) = (t, 0), where 0 ≤ t ≤ 1.
Line segment from (1,0) to (0,1):
Let's parameterize this segment as r(t) = (1 - t, t), where 0 ≤ t ≤ 1.
Line segment from (0,1) to (0,0):
Let's parameterize this segment as r(t) = (0, 1 - t), where 0 ≤ t ≤ 1.
Now, we can calculate the line integral for each segment and sum them up:
Line integral along the first segment:
\(\int(0 to 1) P(t, 0) dt + \int(0 to 1) Q(t, 0) dt\)
Line integral along the second segment:
\(\int(0\: to \:1) P(1 - t, t) dt + \int(0 \:to\: 1) Q(1 - t, t) dt\)
Line integral along the third segment:
\(\int(0 \:to \:1) P(0, 1 - t) dt + \int(0\: to \:1) Q(0, 1 - t) dt\)
Finally, the total line integral around the triangle is the sum of these three line integrals:
Total Line Integral = Line integral of segment 1 + Line integral of segment 2 + Line integral of segment 3
Please note that the actual calculation depends on the specific vector field you are working with. You need to substitute the appropriate expressions for P and Q into the integrals and evaluate them accordingly.
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Suppose that ∑=1 [infinity] is an infinite series with partial sum =8−2/^2.1) What are the values of ∑=1 10 and ∑=5 16 ?2) What is the value of a3?3)Find a general formula for an4)Find the sum ∑=1 [infinity] an
For an infinite series an
a) \( \sum_{ n = 1}^{10 } a_n= 7.98\)
\(\sum_{ n = 5}^{ 16} a_n = S_{16} - S_4\) = 0.133
b) \(a_3\)= 0.722
c) The general formula, \( a_n = 2(\frac{2N-1}{N²(N-1)²} )\)
d) \(\sum_{n = 1}^{ \infty } a_n = 2(\frac{2N-1}{N²(N-1)²} )\).
We have aₙ infinite series,
\( \sum_{ n = 1}^{ \infty } a_n\), with partial sum = \(8 - \frac{2}{N²}\)
We have to determine the following values. Let the S_N denotes the partial sum of infinite series an. Then
\(S_N = 8 - \frac{2}{N²}\)
a) The value of sum of first 10 terms of infinite series, \( \sum_{ n = 1}^{10 } a_n = S_{10} \)
\(= 8 - \frac{2}{10²}\)
= 7.98
The value partial sum of terms from 5th term to 16th term, \(\sum_{ n = 5}^{ 16} a_n = S_{16} - S_4\)
\( = 8 - \frac{2}{16²} - 8 + \frac{2}{4²}\)
= 0.133
b) The value of third term of infinite term is \(a_3 = S_3- S_2\)
\(= 8 - \frac{2}{3²} - 8 + \frac{2}{2²} \)
= 0.722
c) The general formula for an is \(a_n = S_N - S_{N - 1} \)
\(= 8- \frac{2}{N²} - 8 - \frac{2}{(N-1)²} \)
\(= 2(\frac{2N-1}{N²(N-1)²} )\)
d) The sum of infinite series, \(\sum_{n = 1}^{ \infty } a_n = 2(\frac{2N-1}{N²(N-1)²} )\)
Hence, we get all required values.
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The point (0, 0) is a solution to which of these inequalities?
A. y - 5 < 3x - 4
B. y - 4 < 3x - 5
C. y + 5 < 3x + 4
D. y + 5 <3x - 4
Answer:
if their was a picture of the graph, i could of answered it.
Step-by-step explanation:
What mistake was made?
Please help!
Answer:
soooooo basically,
Step-by-step explanation:
10x-1 DOES NOT equal 59
the angels are very different
we will say the line intersecting m and n makes it where 59 and the angel next to it must equal 180
so find that angel
180-59=121
therefore it should be
10x-1+59=180
combine like terms
10x+58=180
subtract 58 from BOTH sides
which cancels 58 on the LEFT side
10x=122
divide 10 from BOTH sides
which cancels the 10 on the LEFT side
which is leaving us with
x=12.2
or
x=61/5
hope i helped
what is the congruence correspondence, if any, that will prove the given triangles congruent?
Answer:
C. HL
Step-by-step explanation:
The two triangles shown are right triangles.
The hypotenuse of one is congruent to the hypotenuse of the other. Also, the length of one of the legs of one triangle is congruent to the corresponding leg of the other triangle.
Based on true HL Congruence theorem, both triangles are congruent to each other.
Therefore, the congruence correspondence that will prove both triangles are congruent is: HL
Review Worksheet:
Using the IVT and the function f(x)=x²-2x-2, on what interval can you say will there definitely be a zero?
Since f(-1) is positive and f(3) is negative, by the IVT, we can conclude that there is at least one zero of the function on the interval [-1, 3]. Therefore, we can say with certainty that there is definitely a zero of f(x) = x² - 2x - 2 on the interval [-1, 3].
To use the IVT to determine an interval where there definitely is a zero of the function f(x) = x² - 2x - 2, we need to evaluate the function at the endpoints of an interval and determine whether the function changes sign over that interval.
Let's consider the interval [-2, 3] as an example. Evaluating f(-2) and f(3), we get:
f(-2) = (-2)² - 2(-2) - 2
= 4 + 4 - 2
= 6
f(3) = 3² - 2(3) - 2
= 9 - 6 - 2
= 1
Since f(-2) is positive and f(3) is positive as well, we cannot use the IVT to conclude that there is a zero of the function on the interval [-2, 3].
However, we can try another interval. Let's try the interval [-1, 3]. Evaluating f(-1) and f(3), we get:
f(-1) = (-1)² - 2(-1) - 2
= 1 + 2 - 2
= 1
f(3) = 3² - 2(3) - 2
= 9 - 6 - 2
= 1
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1. using the digits 0, 1, 2, 3, and 4, how many 3-digit patterns can be formed if the numbers can be used more than once?
Using the digits 0, 1, 2, 3, and 4, we can form 125 different 3-digit patterns.
To determine the number of 3-digit patterns that can be formed using the digits 0, 1, 2, 3, and 4 with repetition allowed, we can use the concept of permutations.
Since repetition is allowed, we have five options for each digit position (hundreds, tens, and units place). Therefore, the total number of 3-digit patterns can be calculated as 5 * 5 * 5 = 125.
To understand this, consider the hundreds place first. We have five options (0, 1, 2, 3, 4). For each option in the hundreds place, we have five options again for the tens place (0, 1, 2, 3, 4). Similarly, for each option in the tens place, we have five options for the units place.
By multiplying the number of options for each digit place, we obtain the total number of 3-digit patterns with repetition allowed.
Therefore, using the digits 0, 1, 2, 3, and 4, we can form 125 different 3-digit patterns.
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Expand and combine like terms.
(4m^5) – 5m^6) (4m^5 + 5m^6) =
Answer:
\(16m^{10} -25m^{12}\)
Step-by-step explanation:
hope this helps :)
The expand and combination like terms (4m^5) – 5m^6) (4m^5 + 5m^6) is -9m^12 + (16)m^10.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
The equation=(4m^5) – 5m^6) (4m^5 + 5m^6)
Now,
To expand the expression, we need to multiply each term inside the first parentheses by each term inside the second parentheses. This gives us:
(4m^5 - 5m^6) (4m^5 + 5m^6) = 4m^5 * 4m^5 + 4m^5 * 5m^6 - 5m^6 * 4m^5 - 5m^6 * 5m^6
To simplify the expression, we need to use the exponent rule that a^b * a^c = a^(b + c) and combine the terms that have the same base and exponent. This gives us:
4m^5 * 4m^5 + 4m^5 * 5m^6 - 5m^6 * 4m^5 - 5m^6 * 5m^6 = 16m^(5 + 5) + 20m^(5 + 6) - 20m^(6 + 5) - 25m^(6 + 6)
To further simplify the expression, we need to add the exponents and simplify the coefficients. This gives us:
16m^(5 + 5) + 20m^(5 + 6) - 20m^(6 + 5) - 25m^(6 + 6) = 16m^10 + 20m^11 - 20m^11 - 25m^12
To combine like terms, we need to add or subtract the coefficients of the terms that have the same base and exponent. This gives us:
16m^10 + 20m^11 - 20m^11 - 25m^12 = (16 - 25)m^12 + (20 - 20)m^11 + (16)m^10
= -9m^12 + (0)m^11 + (16)m^10
= -9m^12 + (16)m^10
Therefore, the equation will be equal to -9m^12 + (16)m^10.
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how to check 3/4x - 11 = 16
i know the answer ( x = 36) i just need help checking it!!!
Answer/Step-by-step explanation:
Since you know that the answer is x = 36, Then you can substitute it in the equation.
3/4(36) - 11 = 16 → Multiply 3/4 by 36
27 - 11 = 16 → Subtract 11 from 27
16 = 16 → They are equal
Hence as you can see, x = 36.
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Find the original price of a salt lamp that is $60 after a 25% discount.
The original price of the salt lapm os $80.
How to find the original price of the salt lamp?Let's assume that the original price of the salt lamp is P, if we apply a discount of x (a percentage in decimal form) then the new price will be:
P' = P*(1 - x)
Here we know that the discount is of 25%, then x = 0.25
And the final price is $60, then we can write:
$60 = P*(1 - 0.25)
Now we can solve this for P.
$60 = P*0.75
$60/0.75 = P
$80 = P
That is the original price.
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Consider a linear regression of Y associated with a set of predictors. It is known that variance of Yi is related to the expectation of Yi. Their relationship is known as V ar(Yi) = (E[Yi])2. Find the variance-stabilizing transformation of Yi
The variance-stabilizing transformation of Yi in linear regression can be found using the Fisher transformation. By taking the square root of the variance of Yi and dividing it by the expectation of Yi, we can apply the inverse hyperbolic tangent function to obtain the transformed Yi.
This results in the expression: tanh^-1(sqrt(V ar(Yi))/E[Yi]). This transformation is useful because it stabilizes the variance of Yi, making it easier to analyze and model. It allows us to make more accurate predictions and inferences about the relationship between the predictors and the response variable in linear regression.
We can find the variance-stabilizing transformation of Yi as follows:
1. Take the square root of both sides of the equation:
sqrt(V ar(Yi)) = sqrt((E[Yi])^2)
2. Simplify the equation:
sqrt(V ar(Yi)) = E[Yi]
3. Define the transformation function, T(Yi), which transforms Yi into the square root of its variance:
T(Yi) = sqrt(Yi)
So, the variance-stabilizing transformation of Yi is T(Yi) = sqrt(Yi). By applying this transformation, the relationship between predictors and Yi should exhibit more constant variance, improving the performance of the linear regression model.
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Suppose figure A underwent a dilation to produce figure B. Are figure A and figure B similar?
Answer:
Figure A and B are still congruent to each other. the only change is the size of the shape.
Step-by-step explanation:
Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Suppose figure A underwent a dilation to produce figure B.
Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
if Dilation factor N then image Size is multiplied by N
if Scale factor < 1 then image get reduced
if scale factor > 1 then image get enlarged
scale factor = 1 lead to Same size image
Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
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Two trees are growing in a clearing. The first tree is 17 feet tall and casts a 10 foot shadow. The second tree casts a 35 foot shadow. How tall is the
second tree to the nearest tenth of a foot?
Answer:
59.5 feet
Step-by-step explanation:
The second tree is 59.5 feet tall.
GivenTwo trees are growing in a clearing.
The first tree is 17 feet tall and casts a 10-foot shadow.
The second tree casts a 35-foot shadow.
Let x be the tall is the second tree.
Then,
The ratio of the height of the tree is;
\(\rm \dfrac{17}{10} = \dfrac{x}{35}\\\\17 \times 35 = x \times 10\\\\595 = 10x\\\\x = \dfrac{595}{10}\\\\x = 59.5 \ feet\)
Hence, the second tree is 59.5 feet tall.
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NO LINKS!! Someone pls help me pls What is the measure of B in degrees?
Answer:
B = 60°
Since the measure of all sides of the given triangle are equal, it is an equilateral triangle.
An equilateral triangle have all sides and angles equal.
Therefore, each angle measures 60°.
Simplify.
6 to the power 7/ 6 to the power of 3 = 6[?]
Step-by-step explanation:
Using the rules of exponents:
6^7 / 6^3 = 6^(7-3) = 6^4
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Katie and Jim decided to shoot arrows at a simple target with a large outer ring and a smaller bull's-eye. Katie went first and landed 2 arrows in the outer ring and 1 arrow in the bull's-eye, for a total of 103 points. Jim went second and got 1 arrow in the outer ring and 1 arrow in the bull's-eye, earning a total of 87 points. How many points is each region of the target worth?
The outer ring is worth __.
points, and the bull's-eye is worth__.
points.
Using a system of equations, x + 2y = 103 and x + y = 87, the outer ring is worth 71 points, and the bull's-eye is worth is 16 points.
What is a system of equations?A system of equations is two or more equations solved simultaneously or concurrently.
A system of equations is also referred to as simultaneous equations because the solutions to the variables can be found at the same time.
Katie Jim
Large outer ring 1 1
Smaller bull's eye 2 1
Total points 103 87
Let the worth of the outer ring = x
Let the worth of the smaller bull's eye = y
Equations:Equation 1: x + 2y = 103
Equation 2: x + y = 87
Subtract Equation 2 from Equation 1:
x + 2y = 103
-
x + y = 87
Equation 3: y = 16
Substitute y = 16 in Equation 1:
x + 2(16) = 103
x + 32 = 103
x = 71
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Rashal is adding the expression below.
Negative 3 + left-bracket (negative 7) + (negative 6) right-bracket
First, he rewrites the expression.
Left-bracket negative 3 + (negative 7) right-bracket + (negative 6)
Which number property did Rashal use to rewrite the expression?
associative property
commutative property
distributive property
identity property
associative property
Step-by-step explanation:
Answer:
Associative Property
Step-by-step explanation:
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I need an answer QUICK
Carson buys 8 pounds of apples for $12.00. He wants to know and use the unit rate of the cost per pound. True or False: Using the unit rate of the cost per pound, do 5 pounds of apples cost $7.50? (Hint: Take the unit rate from Question 2 and multiply that by 5. Do you get $7.50?) 1Points A True B False
Answer:
$1.50 per apple
Step-by-step explanation:
cross multiply, 5*12/8
60/8 = 7.50
5 pounds of apples = 7.50
true