The ship’s horizontal distance from the lighthouse is 1053.07 feet.
How to find the distance of the ship from the light house?A boat is heading towards a lighthouse, whose beacon-light is 148 feet above the water. The boat’s crew measures the angle of elevation to the beacon is 8 degrees.
The ship horizontal distance from the light house can be calculated as follows;
This situation forms a right angle triangle.
Therefore, let's use trigonometric ratios to find the horizontal distance.
tan 8° = opposite / adjacent
tan 8° = 148 / x
x = 148 / tan 8
x = 148 / 0.1405408347
x = 1053.07475415
x = 1053.07 feet
Therefore,
horizontal distance = 1053.07 feet
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(9x -38)= (2x+42) find mf this exam is crazy
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=80/7
Decimal Form: x=11.428
or 11.44
Mixed Number Form: x=11 3/7
Fractions on number line help!!!!!
Answer:
There are four small lines between 0 and 1 in the number line, they denote the decimals : 0.2, 0.4, 0.6 and 0.8. Put the SUM on the 0.4 line
n- ? 1) When loan officers speak to people about taking out a loan for a certain principal, P at a certain monthly rate, they always have to balance two quantities, the monthly payment, m] with the number of payments, n] it takes to pay off the loan. These two vary inversely. All of these quantities can be related by the formula: Por 1-(1+r)¯" m= Calculate the monthly payment needed to pay off a $200,000 loan at 4% yearly interest over a 20-year period.. 110
[tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex] is the monthly payment
What is Compound interest?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
According to given question:
Principle Amount (P) = $200, 000
Rate(r) = 4% yearly
Rate(r) = 4/12 % Monthly
Rate(r) = 1/3 % Monthly
Time = 20 years = 240 months
⇒ 240 is the number of payment needed to pay
n = 240
Therefore, the monthly payment needed to pay
⇒ [tex]m = \frac{P.r}{1-(1-r)^{-n} }[/tex]
⇒ [tex]m = \frac{200000.1/3}{1-(1-1/3)^{-240} }[/tex]
⇒ [tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex]
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set the two equations to each other then solve for x y=2x-3
Answer:
The value of x is (y + 3)/2
Step-by-step explanation:
y = 2x - 3
y + 3 = 2x - 3 + 3
y + 3 = 2x
2x/2 = (y + 3)/2
x = (y + 3)/2
Thus, The value of x is (y + 3)/2
Answer:
x = (y + 3)/2
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ y = 2x - 3
Then the value of x will be,
→ y = 2x - 3
→ 2x - 3 = y
→ 2x = y + 3
→ x = (y + 3)/2
→ x = (y/2) + (3/2)
Hence, answer is x = (y + 3)/2.
g(x) = x² - 4x²+x+6
The simplified expression of g(x) = x² - 4x² + x + 6 is g(x) = -3x² + x + 6
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
g(x) = x² - 4x²+x+6
Rewrite properly
So, we have the following representation
g(x) = x² - 4x² + x + 6
Evaluate the like terms
g(x) = -3x² + x + 6
The above expression cannot be further simplified
Hence, the solution is g(x) = -3x² + x + 6
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help me pleaseeeeeeee
Answer:
Step-by-step explanation:if angle a is 42 then b is 42 which means its 42 right, so its cos(42)=AB over 10, the last one its a educated guess.
the Times for five sprinters in a 50 meter dash were 6.72 seconds, 6.4 seconds, 6.08 seconds, 7.03 seconds, and 6.75 seconds. write these times from fastest to slowest
The timings are 7.03 > 6.75 > 6.72 > 6.4 > 6.08, going from fastest to slowest.
How does descending order work?The quickest sprinter is the one who finishes the 50-meter race in the least amount of time. In this instance, the third sprinter finished in 6.08 seconds, while the fourth finished in 7.03 seconds. Because of this, the third sprinter has won the competition and is now the quickest. On the other hand, the fourth participant finishes the race in the longest amount of time, making him the slowest.Order in Decrements Descending order is the practice of grouping objects (or numbers) in size order from greatest to smallest.
160, 12, 10, 7, 5, 1 is the sum of the numbers 12, 5, 7, 10, and 1 in descending order.
Given:
6.72, 6.4, 6.08, 7.03 and 6.75
Yes, the least number is 6.08.
Moreover, the biggest figure is 7.03
Thus, the order of timings is 7.03 > 6.75 > 6.72 > 6.4 > 6.08 from fastest to slowest.
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6) Which transformation or set of transformations will map a point (x, y) onto the point (3x, 3y+4 )
a
a dilation of scale factor 3 through the origin followed by a translation of up 4 unit
b
a dilation of scale factor 3 through the origin followed by a translation of right 4 unit
c
a dialation of scale factor 3 through the point ( 4, 0 )
d
a dialation of scale factor 3 through the point ( 0, 4 )
5) Which discription of a figure and its image match the transformation described by (x, y) → (x+5, y )
a
The figure and its image are neither similar nor congruent, and the image has been streched horizontally.
b
The figure and its image are similar, and the image has been translated 5 unit up.
c
The figure and its image are similar, and the image has been translated 5 unit to the right.
d
The figure and its image are neither similar nor congruent, and the image has been streched vertically.
6. The transformation or set of transformations which map a point (x, y) onto the point (3x, 3y+4 ) is; Choice A; a dilation of scale factor 3 through the origin followed by a translation of up 4 unit.
5. The description of a figure and its image match the transformation described by (x, y) → ( x+5, y ) is; The figure and its image are similar, and the image has been translated 5 unit to the right.
Which transformations maps the given pre-image and image points?It follows from transformations that a transformation using a scale factor, k about the origin is represented as; ( x, y ) → ( kx, ky ).
Also a shift in the horizontal or vertical direction by k units is represented by; ( x, y ) → ( x ± k, y ± k ) intuitively and respectively.
On this note, the given transformations are as represented in the answer section above.
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Charlotte bought a magazine for $5 and four boxes of candy. She spent a total of $25. How much did each box of candy cost?
Answer: $5
Step-by-step explanation: To calculate how much she spent on the 4 boxes of candy, we need to subtract 5 from 25, because we won't be including the cost of the magazine. So, therefore 25-5 is 20. So, now to find the cost for one, we need to set up a proportional relationship like this:
[tex]\frac{20}{4}[/tex] = [tex]\frac{?}{1}[/tex]
So, with that, we need to divide 4 by 20 to find the cost of 1. So, if you know, 20 divided by 4 = 5. So, therefore the cost of each candy box is $5. We can check our answer if we use the inverse operations, so our new equation would look like this:
5(4) + 5 = 25
We can check this, because we know 5 x 4 = 20, and 20 + 5 = 25. So 25 = 25, so it is $5.00
PLEASE HURRY
Given:
1 = 4
2 = 3
Prove:
AB = CD
Which of the following triangle congruence theorems would be used in this proof?
ASA
AAS
SSS
ASA triangle congruence theorems would be used in this proof.
What is ASA rule ?
According to the ASA rule, two triangles are said to be congruent if any two of the angles and sides that make up one triangle are equal to the corresponding two angles and sides that make up the other triangle.
When two or more triangles are congruent, their corresponding angles and sides are also congruent, according to the formula CPCTC, which stands for "corresponding parts of congruent triangles are congruent".
So, AB=CD
Thus, ASA triangle congruence theorems would be used in this proof.
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if d is the standard deviation of x, y, and z, what is the standard deviation of x 5, y 5, and z 5 ?
If we add any constant term in the variable then the standard deviation remains same. So it is not change.
In the given question, d is the standard deviation of x, y, and z.
We have to find the standard deviation of x+5, y+5, and z+5.
As we know that;
Data distribution in reference to the mean is measured by a standard deviation, or. Samples are said to be more narrowly collected around the mean when the standard deviation is minimal and more dispersed when the standard deviation is higher.
While a high or low standard deviation implies that data points are, respectively, above or below the mean, a standard deviation that is close to zero suggests that data points are, on the other hand, relatively close to the mean.
If we see that in each variable x, y, z a constant value 5 is added.
If we add any constant term in the variable then the standard deviation remains same. So it is not change.
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The right question is:
If d is the standard deviation of x, y, and z, what is the standard deviation of x+5, y+5, and z+5?
The function p(x) = x³ + x² = x³ + x²-x+ 5 is graphed on the coordinate plane. As x approaches positive infinity, what value does p(x) approach?
A. 0
B. 5
C. +infinity
D. -infinity
As x approaches positive infinity, the function r(x) approaches negative infinity.
What is a function approaches infinity?
In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero.
As x approaches positive infinity, the term x^3 becomes dominant, and the value of the function p(x) approaches positive infinity as well.
In general, when the highest-order term in a polynomial function has a positive coefficient, the function will approach positive infinity as x approaches positive infinity.
Similarly, if the highest-order term has a negative coefficient, the function will approach negative infinity as x approaches positive infinity.
For example, consider the function q(x) = 3x^3 - 2x^2 + x - 5. As x approaches positive infinity, the term 3x^3 becomes dominant, and the function q(x) approaches positive infinity. On the other hand, if we consider the function r(x) = -3x^3 + 2x^2 - x + 5, the highest-order term is -3x^3, which has a negative coefficient.
Therefore, as x approaches positive infinity, the function r(x) approaches negative infinity.
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Plssssssssssssssssssss
An irregular area which has 4 sides measuring 17 yards, 19 yards, 21 yards, and 39 yards needs to be fenced. If the fencing costs $24 per foot how much will the fence cost?
The school's math team has 14 new members this year, which makes a total of 34. The number of new members represents about what percent of the total membership?
41% of the math team's total members are brand-new recruits.
What is percentage ?It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage.
Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates. Percentages are essential for grasping the financial aspects of daily living.
The percentage of the entire membership that the number of new members represents is determined to be
=(14/34)×100
=41 %
0.41 x 100 = 41%
This means that 41% of the club is new members!
Thus, the number of new members is 41% of the total membership of the maths team.
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A set of data has a normal distribution with a mean of 47 and a standard deviation of 8. Find the percent of data within the following interval.
from 39 to 55
The percent of data within the interval from 39 to 55 which is normally distributed is 68.26%.
What is Normal and Standard Distribution ?An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.
A probability bell curve is more properly described as the normal distribution.The mean and standard deviation of a normal distribution are 0 and 1, respectively. It has a kurtosis of 3 and zero skew.Not all symmetrical distributions are normal, but all normal distributions are symmetrical.Natural occurrences frequently resemble the usual distribution.However, most price distributions in finance are not quite normal.A unique type of normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution, or z-distribution. By transforming the values of any normal distribution into z scores, it is possible to standardize it. Z scores provide the number of standard deviations from the mean that each value falls within.
Given in the problem mean is 47 and Standard Deviation(SD) is 8
Probability of data within 39 to 55 is
P(x<55) - P(x<39)
Let Z be the standard deviation :
[tex]\phi(Z) = \frac{x - mean}{SD}[/tex].
for X = 39
[tex]\phi(Z) = \phi(\frac{x - mean}{SD})[/tex] = [tex]\phi(\frac{39 - 47}{8}) = \phi(-1) = 1 - \phi(1) = 1-.8413 = .1587[/tex]
for X = 55
[tex]\phi(Z) = \phi(\frac{x - mean}{SD})[/tex] = [tex]\phi(\frac{55 - 47}{8}) = \phi(1) = .8413[/tex]
The percent of data within the interval from 39 to 55
(.8413 - .1587) = .6826 = 68.26%
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Write the linear equation in slope intercept form
[tex]y= - \frac{1}{3} z +2[/tex] is slope intercept form of given equation.
How do you write slope intercept form?Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.Y equals mx plus b is actually the slope intercept form. Because it provides both a slope and an intercept, the form is known as a slope intercept form.Given liner equation :
[tex]\frac{1}{3} z + y = 2[/tex]
[tex]y = 2 - \frac{1}{3} z[/tex]
[tex]y= - \frac{1}{3} z +2[/tex]
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a philosophy professor assigns letter grades on a test according to the following scheme. a: top 12 % of scores b: scores below the top 12 % and above the bottom 63 % c: scores below the top 37 % and above the bottom 22 % d: scores below the top 78 % and above the bottom 7 % f: bottom 7 % of scores scores on the test are normally distributed with a mean of 72 and a standard deviation of 8.1. find the numerical limits for a b grade. round your answers to the nearest whole number, if necessary.
Rounding to the nearest whole number, the limits for a 'b' grade are 75 and 81
In this question we have been given a philosophy professor assigns letter grades on a test according to the given scheme.
We need to find the numerical limits for a b grade.
b: scores below the top 12 % and above the bottom 63 % which means scores between the 63th and 88th percentile.
Given that the scores on the test are normally distributed with a mean of 72 and a standard deviation of 8.1
μ = 72, σ = 8.1
z-score at the 63th percentile: 0.332
z-score at the 88th percentile: 1.175
The lower limit of a 'b' grade is:
0.332 = X - μ/σ
0.332 = (X - 72)/8.1
2.67 = X - 72
X = 74.67
X ≈ 75
The upper limit of a 'b' grade is:
1.175 = X - μ/σ
1.175 = (X - 72)/8.1
9.52 = X - 72
X = 81.52
X ≈ 81
Therefore, you get a 'b' if you have a grade between 75 and 81
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please helppppp :(((
Answer: Crust and asthenosphere should be switched
Step-by-step explanation:
Brainliset please?
Answer:
Step-by-step explanation:
crust is the surface of the earth and the asthenosphere below it with currents that cause earthquakes.
Find the number of degrees for the sum of the interior angles of a regular 12-sided figure.
Answer:
Sum of 12-sided polygon=1800°
Measure of each interior angle of a regular12-sided polygon=150°
On Thursday the Meat King Market sold 210 pounds of ground beef. On Friday they sold twice
that amount. On Saturday they only sold 130 pounds. How much more meat did they sell on
Friday than Saturday?
Answer:
290
Step-by-step explanation:
210 x 2 = 420
420 - 130 = 290
how long will it take (in years) for the disintegration rate of this sample to drop to 809 disintegrations per minute?
Consequently, it would take roughly 690,64 years for the disintegrations to disappear.
What is disintegrations?Disintegration occurs when a whole entity breaks up into smaller pieces or simply vanishes. Disintegration is the breakdown, fragmentation, or spontaneous disintegration of something. Knowing that integration brings things or people together will help you to understand that disintegration refers to things breaking apart.
Here,
The formula for this is Activity = decay constant x atoms.
1238 = 2.64 x 1010 times the decay constant
decay constant is equal to 4.76 x 10-8 min-1.
Currently, the disintegrations are being slowed to 809 disintegrations per minute.
Ln(809) = Ln(2.64 x 1010) - Ln(4.76 x 10-8 x t)
t=3.63x108min = 690.64y
Consequently, it would take roughly 690,64 years for the disintegrations to disappear.
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Given: Angle R is congruent to Angle Q Segment AS is congruent to Segment AT Which of the following may not be true?
Angle 5 is congruent to Angle 6
Segment AR is congruent to Segment AQ
Segment RS is congruent to Segment TQ
Angle 2 is congruent to Angle 3
The ratio of females to males at a movie is 8 7 If there are 28 males how many females
are in the movie
Answer: 32 females
Step-by-step explanation:
28 divided by 7 = 4
so, multiply 8 by 4 as well.
Answer: 32 females are at the movie
Step-by-step explanation:
8(females):7(males)
x:28
28/7= 4
x=4x8
x=32
There are 32 females
how would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details
Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.
Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.
Complete question:-
How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?
a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size
b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size
c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size
d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size
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Select the correct text in the passage.
iS John is a journalist. He went to a product demonstration for a new computer. Some of what he heard was informative, while the rest was meant to
persuade consumers to buy the product. Which two statements in the excerpt are persuasive rather than informative?
At the latest launch by the computer manufacturer Mintel Corporation, they demonstrated the latest smart technology in their new computer. The
computer has voice recognition software that can adapt the user's experience to his or her preferences. This is something no other computer can
do at present.
The computer also has touchscreen technology, is loaded with the latest apps, and comes with a free year's subscription to Adobe
Photoshop. This is the best buy on the market.
The two sentences meant to persuade are the following:
"This is something no other computer can do at present.
"This is the best buy on the market".
What are the sentences for persuasion?It should be noted that persuasion is used to make someone agree to a particular point. From the information, at the latest launch by the computer manufacturer Mintel Corporation, they demonstrated the latest smart technology in their new computer.
The computer has voice recognition software that can adapt the user's experience to his or her preferences. This is something no other computer can do at present.
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Show how to solve:
√₂x+1 +4 = -1
Answer: x=-3 x √2
Step-by-step explanation:
Answer:
x = 24
Step-by-step explanation:
I think the question is [tex] \sqrt{x+1}+4=-1 [/tex]
[tex] \sqrt{x+1}=-5 [/tex]
[tex] x+1=25 [/tex]
x = 24
9. A straight line passes through points (2, 12) and (3, 8). What is the equation of the
line?
Which expression is equivalent to 2.2-2.5
A
2.5−2.22.5-2.22.5−2.2
B
2.2+2.52.2+2.52.2+2.5
C
2.2+(−2.5)2.2+\left(-2.5\right)2.2+(−2.5)
D
2.2−(−2.5)2.2-\left(-2.5\right)2.2−(−2.5)
The equivalent expression will be;
⇒ 2.2 + (- 2.5)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 2.2 - 2.5
Now,
Since, The expression is,
⇒ 2.2 - 2.5
Hence, After solve we get;
⇒ 2.2 - 2.5 = - 0.3
By option 3, we have;
⇒ 2.2 + (- 2.5)
After solving, we get;
⇒ 2.2 - 2.5 = - 0.3
Thus, The correct expression will be;
⇒ 2.2 + (- 2.5)
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Go step by step to reduce the radical
The reduced form of the radical √192 is 8√3.
How to reduce radicals?A radical is a symbol that represents a particular root of a number. Radical simply means square root of a number.
Therefore, the symbols for radical is √.
Let's reduce the radical accordingly,
√192
Let's find number you can multiply to get 192. One of the numbers will be a perfect square.
Therefore, the numbers are 64 and 3. 64 is the perfect square.
Therefore,
√192 = √64 × 3 = √ 8² × 3 = 8√3
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