At noon, ship a is 30 nautical miles due west of ship
b. ship a is sailing west at 23 knots and ship b is sailing north at 17 knots. how fast (in knots) is the distance between the ships changing at 4 pm?
Answers
.. d = √((30 +23t)² +(17t)²)
.. = √(818t² +1380t +900)
The rate of change of distance with respect to time is
.. d' = (1/2)(2*818*t +1380)/√(818t² +1380t +900)
.. = (818t +690)/√(818t² +1380t +900)
At t=4, this is
.. d' = (818*4 +690)/√(818*16 +1380*4 +900)
.. = 3962/√19508
.. ≈ 28.37 . . . . . knots
The distance between the ships is increasing at about 28.37 knots at 4 pm.
The rate at which the distance between the two ships is changing is approximately 18.86 knots at 4pm.
Explanation:To find the rate at which the distance between the two ships is changing, we can use the concept of relative velocity. Let's consider ship A as the reference point. The velocity of ship A relative to the Earth is given as 23 knots due west, and the velocity of ship B relative to the Earth is given as 17 knots due north. The velocity of ship B relative to ship A can be found by subtracting the velocities.
Using the Pythagorean theorem, we can find the magnitude of the velocity of ship B relative to ship A. This magnitude represents the rate at which the distance between the ships is changing. Therefore, at 4 pm, the distance between the ships is changing at a rate of approximately 18.86 knots.
Related Questions
please help me!!! will give brainlists!
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Answers
(B/2) • l
Where B is the area of the base, and l is the length.
If you notice, you do NOT have the height of the triangle. However, you know that it is an equilateral triangle. So, you may split the triangle into two. Once you do, you can see that it is a right triangle. It’s hypotenuse is 3. If you know your triangles, you will realize that this is a 30 60 90 triangle. Therefore, the height will be 1.5 * sqrt(3)
So, to get B...
3 * 1.5sqrt(3)
4.5sqrt(3)
(Divide by 2)
2.25sqrt(3)
O
(9sqrt(3))/4
Multiply by the length of the prism, 6
This is your final answer in fraction form
27
— 2^rt(3)
2
If ab = 8 and a^2+b^2=16, then what is the value of (a+b)^2
Answers
= 16 + 2 (8)
= 16 + 16
= 32
Attached is my work.
There are 20 goldfish in a pond. Their population is increasing by 20% each year. The same pond has 100 minnows. The minnow population is increasing by 10 minnows each year. Make a graph to find the year that the two species of fish will have the same population. In what year will the fish populations be approximately the same?
Answers
We only consider the portion of the graph from x=0 on, since negative time is illogical. Tracing the graph we get the intersection point.
Answer:
13.5 years.
Step-by-step explanation:
We know that exponential growth function is in form [tex]y=a\cdot(1+r)^x[/tex], where, a is initial value and r is growth rate in decimal form.
Population of goldfish after x years would be [tex]y=20\cdot(1+0.20)^x[/tex].
We know that a linear function is in form [tex]y=mx+b[/tex], where, b is initial value and m is slope.
Population of minnow after x years would be [tex]y=100+10x[/tex].
Graphing both equations, we will get our required graph as shown in the attachment.
Since both graphs intersect at [tex]x=13.5[/tex], therefore, in the 13.5 years both populations will approximate the same.
Which of the following is the inverse of y=6^x ?
A. Y=log 6x
B. Y=Log x6
C. YLog1/6X
D. Y=Log 6. 6x
Answers
y=6^x
we know
to find the inverse
replace x with y and y with x,
x=6^ywe know that
y=logb(x)----------> x=b^y
therefore
x=6^y---------------> y=log6(x)
the answer is the option A.) Y=log 6x
Answer:
A
Step-by-step explanation:
edge 2021
what are the mean,median ,mode and range of the data set given the altitude of lakes in feet -11, -28, - 17, -25, -28, -39, -6, and -46
Answers
The mean is the sum of data given to the total sample size.. The mean, median, mode, and range are -25, -28.-28, and 40 respectively
How to calculate the mean, median, mode and rangeThe mean is the sum of data given to the total sample size.
Mean = Sum of data/sample size
Mean = -11-28-17-25-28-39-6-46/8
Mean = -200/8
Mean = -25
Calculate the median
Median is the middle number after rearrangement
-46, -39, -28, -28, -25, -17, -11, -6
From the arrangement, the median of the data is -28
Calculate the mode
The mode is the value with the highest frequency. From the data given, the mode is -28
Range:
Range = highest value - lowest value
Range = -6 - (-46)
Range = 40
Hence the mean, median, mode and range are -25, -28.-28 and 40 respectively
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Two friends mix blue paint and yellow paint to make batches of green paint, as shown in the tables. Jarrod Cups Blue Cups Yellow 3 2 Ian Cups Blue Cups Yellow 5 2 Which correctly compares their ratios of blue to yellow paint?
Answers
Cups Blue Cups Yellow
3 2
Ian:
Cups Blue Cups Yellow
5 2
We have that their ratios are:
Jarrod: 3/2
Ian: 5/2
Comparing both ratios:
Jarrod uses 60% yellow paint and 40% blue paint.
Ian uses 71.4% yellow paint and 28.4% blue paint.
Answer:
Jarrod: 3/2
Ian: 5/2
Suppose f(x) = 0.125x for 0 < x < 4. determine the mean and variance of x. round your answers to 3 decimal places.
Answers
- mean: 2.667
- variance: 0.889
Explanation:
To get the mean and variance of x, we need to verify first whether...
- x is discrete or continuous random variable
- f is probability mass or probability density function
because if we cannot verify the 2 statements above, we can't compute the mean and the variance.
Since 0 < x < 4, x is a continuous random variable because x can be any positive number less than, which includes a non-integer.
Note that if the random variable is continuous and [tex]0 \leq f(x) \leq 1[/tex] for any values of x in the domain of f, then f is a probability density function (PDF).
Note that
[tex]0 \ \textless \ x \ \textless \ 4 \\ \Leftrightarrow 0.125(0) \ \textless \ 0.125x \ \textless \ 0.125(4) \\ \Leftrightarrow 0 \ \textless \ 0.125x \ \textless \ 0.5 \\ \Leftrightarrow 0 \ \textless \ f(x) \ \textless \ 0.5 \\ \Rightarrow 0 \ \textless \ f(x) \ \textless \ 1 (\text{Because }0 \ \textless \ f(x) \ \textless \ 0.5 \ \textless \ 1)[/tex]
Hence, for any x in the domain of f, 0 < f(x) < 1. Moreover, since x is a continuous random variable, thus f is a PDF.
First, we use the following notations for mean and variance:
E[x] = mean of x
Var[x] = variance of x
Since f is a probability density function, we can use the following formulas for the mean and the variance of x:
[tex]\boxed{\text{mean of }x = E[x] = \int_{-\infty}^{\infty}{xf(x)}dx}[/tex]
[tex]\boxed{\text{Variance of }x = \text{Var}[x] = E[x^2] - (E[x])^2}} [/tex]
To compute for the mean of x,
[tex]\text{mean of }x = E[x] \\ = \int_{-\infty}^{\infty}{xf(x)}dx} \\ = \int_{-\infty}^{\infty}{x(0.125x)}dx} \\ \boxed{\text{mean of }x = \int_{-\infty}^{\infty}{0.125x^2}dx}}[/tex]
The integral seems complicated because of the infinity sign. But because the domain of f is the set of positive numbers less than 4, that is,
[tex]\text{domain of }f = \left \{x : 0 \ \textless \ x \ \textless \ 4 \right \}[/tex]
the bounds of the integral for the mean can be changed from [tex]-\infty \ \textless \ x \ \textless \ \infty[/tex] to [tex]0 \ \textless \ x \ \textless \ 4[/tex] so that
[tex]\boxed{\text{mean of }x = \int_{-\infty}^{\infty}{0.125x^2}dx = \int_{0}^{4}{0.125x^2}dx}[/tex]
Hence, the mean is computed as
[tex]\text{mean of }x = \int_{0}^{4}{0.125x^2}dx \\ = \left[ \frac{0.125x^3}{3} \right]_{0}^{4} \\ \\ = \left[ \frac{0.125(4)^3}{3} \right] - \left[ \frac{0.125(0)^3}{3} \right] \\ \\ \boxed{\text{mean of }x = \frac{8}{3} \approx 2.667} [/tex]
Since the formula for variance is computed as
[tex]\text{Variance of }x = \text{Var}[x] = E[x^2] - (E[x])^2[/tex]
we must first compute for [tex]E[x^2][/tex] for which
[tex]E[x^2] = \int_{-\infty}^{\infty}{x^2 f(x)}dx \\ \\ = \int_{-\infty}^{\infty}{x^2(0.125x)}dx \\ \\ \boxed{E[x^2] = \int_{-\infty}^{\infty}{0.125x^3}dx}[/tex]
Similar to the computation of integral of the mean, we take note that
[tex]\text{domain of }f = \left \{x : 0 \ \textless \ x \ \textless \ 4 \right \}[/tex]
so that we can change the bounds of the integral, that is,
[tex]\boxed{E[x^2] = \int_{-\infty}^{\infty}{0.125x^3}dx = \int_{0}^{4}{0.125x^3}dx}[/tex]
Hence,
[tex]E[x^2] = \int_{0}^{4}{0.125x^3}dx \\ \\ = \int_{0}^{4}{0.125x^3}dx \\ \\= \left[ \frac{0.125x^4}{4} \right]_{0}^{4} \\ \\ = \left[ \frac{0.125(4)^4}{4} \right] - \left[ \frac{0.125(0)^4}{4} \right] \\ \\ \boxed{E[x^2] = 8}[/tex]
Because [tex]E[x] = \frac{8}{3} [/tex],
[tex]\text{Variance of }x \\ \\ = E[x^2] - (E[x])^2 \\ \\ = 8 - \left( \frac{8}{3} \right)^2 \\ \\ \boxed{\text{Variance of }x = \frac{8}{9} \approx 0.889}[/tex]
The mean of x is 1.35 and the variance of x is approximately 1.267.
Explanation:To find the mean of x, we need to calculate the expected value. We can do this by multiplying each value of x by its corresponding probability and then summing up the results. In this case, using the given values and probabilities, we have 0(0.20) + 1(0.45) + 2(0.20) + 3(0.10) + 4(0.05) = 1.35. Therefore, the mean of x is 1.35.
To find the variance of x, we need to calculate the squared difference between each value of x and the mean, weighted by their respective probabilities. We then sum up these values. Using the formula for variance, we have (0-1.35)²(0.20) + (1-1.35)²(0.45) + (2-1.35)²(0.20) + (3-1.35)²(0.10) + (4-1.35)²(0.05). By simplifying this expression, we find that the variance of x is approximately 1.267.
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Follow the steps above and find c, the total of the payments, and the monthly payment. Choose the right answers. Jane Smart buys a new SUV. The price, including tax, is $22,500.00. She finances the vehicle over 60 months after making a $2,000 down payment. The true annual interest rate is 12%. What are Jane's monthly payments (principal plus interest)? To the nearest penny, c = $. Total of payments = amount financed + c = $. Total of payments ÷ number of payments = monthly payment = $.
Answers
To calculate Jane's monthly car loan payments, we must determine the amount financed, total of the payments, and monthly payment. After deducting the down payment from the price of the SUV, we find the amount financed. To calculate the total of the payments, we multiply the amount financed by the monthly interest rate. Finally, we divide the total of the payments by the number of months to find the monthly payment.
Explanation:To find the monthly payments for Jane Smart's car loan, we need to calculate the amount financed, the total of the payments, and the monthly payment.
First, we calculate the amount financed by subtracting the down payment from the price of the SUV: $22,500 - $2,000 = $20,500.Next, we calculate the total of the payments, which is the amount financed plus the interest. To calculate the interest, we multiply the amount financed by the true annual interest rate and divide by 12 to get the monthly interest rate: ($20,500 * 0.12) / 12 = $205.Then, we add the amount financed to the total interest to get the total of the payments: $20,500 + $205 = $20,705.Finally, we calculate the monthly payment by dividing the total of the payments by the number of months: $20,705 / 60 = $345.08 (rounded to the nearest penny).So, Jane's monthly payment for the SUV is $345.08.
What is the probability that a five-card poker hand contains the two of diamonds, the three of spades, the six of hearts, the ten of clubs, and the king of hearts?
Answers
There is exactly 1 way to have all 5 of these cards. For the first card, there are 52 total cards to be had; for the second, 51; for the third, 50; for the fourth, 49; and for the fifth, 48:
(1/52)(1/51)(1/50)(1/49)(1/48) = 1/311875200.
The probability of drawing the two of diamonds, the three of spades, the six of hearts, the ten of clubs, and the king of hearts in that order from a 52-card deck is approximately 1 in 380,204,032.
Explanation:The subject of the question is the probability of drawing specific cards from a 52-card deck. This problem involves choosing five specific cards: the two of diamonds, the three of spades, the six of hearts, the ten of clubs, and the king of hearts.
To find the probability, we need to consider that the deck contains 52 distinct cards. Assuming that each card is equally likely to be drawn, the probability of drawing any specific card is 1 out of 52 (or 1/52). And because we want to draw these cards one after another, we multiply these probabilities together.
Thus, the probability of drawing these five specific cards from a 52-card deck in this order is (1/52) * (1/52) * (1/52) * (1/52) * (1/52), which is approximately 1 in 380,204,032. Please note that this probability is infinitesimally small because the event is highly specific. Also, the order of the cards matters in this calculation. If the order does not matter, the probability will be higher.
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What is the probability of getting either a sum of 66 or at least one 66 in the roll of a pair of dice?
Answers
In which graph does y vary directly as x? It’s not C, I got it wrong.
Answers
Answer:
A
Step-by-step explanation:
A graph where y varies directly as x is a straight line that passes through the origin (0, 0). This is because when two variables vary directly, their ratio is constant, and in the case of y and x, this ratio is the slope of the line.
The equation for direct variation is y = kx, where k is the constant of variation. When we plot this equation on a graph with y on the vertical axis and x on the horizontal axis, we get a straight line that passes through the origin, with a slope of k.
For example, if we have a set of data points that vary directly, such as (1, 2), (2, 4), (3, 6), and so on, we can plot these points on a graph and draw a straight line that passes through the origin and all the points. This line represents the direct variation between y and x, and any other points that satisfy the equation y = kx will lie on this line.
In summary, a graph where y varies directly as x is a straight line that passes through the origin, with a constant slope representing the constant of variation.
Martin says the area of a tile with a length of 1 foot by a width of 1 foot has an area of 1 square foot. And, to find 1/2 of this area, he would need to find 1/2 of the width and 1/2 of the length, and then multiply those two values. Unfortunately, his method is incorrect. Show at least one equation to show why this method would not work, and briefly state a method that will find 1/2 of 1 square foot.
Answers
Answer:
His method is incorrect. By finding 1/2 the width and 1/2 the length, if we multiply them , we would get 1/4 of the original area.
Area = 0.5*l*0.5*w = 0.25*l*w = l*w/4
Let us establish
length = l
width = w
Original Area = l*w
Half the area = (a*l)*(b*w) = 0.5*(l*w)
This means that
a*b = 0.5
if b is equal to a, then
a = √0.5 = √2/2 = 0.707
Then, if a factor of a, where to be introduced in the lenght and width of the tile, we would obtain half the area.
what is the area of the white rectangle in square units
Answers
The length of the grey rectangle below is 4 units, so the length of the white rectangle below is 13 units - 4 units = 9 units.
The width of the white rectangle is 6 units.
A = LW = 9 units * 6 units = 54 units^2
Answer: 54
4x (3x + 8y)-7y (5x-1) Simplify the expression above. Which of the following is correct?
Answers
12x^2 + 32xy - (35xy - 7y)
12x^2 +32xy - 35xy + 7y
12x^2 - 3xy + 7y
[tex] {12x}^{2} + 32xy - 35xy + 7y \\ = {12x}^{2} - 3xy + 7y[/tex]
You have $3,750 to deposit. If you deposit the money in a savings account at your local bank, you will earn 1.75% annual interest and will be able to make ATM withdrawals at your bank’s ATMs. If you deposit the money in an online savings account, you will earn 3.25% interest, but you will be charged $4 every time you make an ATM withdrawal. Assuming that your ATM withdrawals do not reduce the amount of interest you earn, roughly how often must you make an ATM withdrawal for the local savings account to be a better deal than the online savings account?
Answers
To determine how often ATM withdrawals must be made for the local savings account to be a better deal than the online savings account, we compare the interest earned and ATM fees. By solving the inequality, it is found that more than $14.06 ATM withdrawals must be made in a year.
Explanation:To determine how often you must make ATM withdrawals for the local savings account to be a better deal than the online savings account, we need to compare the interest earned from each account and the fees associated with ATM withdrawals. Let's assume the time period is one year.
For the local savings account, you earn interest of 1.75% annually. So, if you deposit $3,750, you will earn ($3,750 * 1.75%) = $65.63 in interest.
For the online savings account, you earn interest of 3.25% annually. However, each ATM withdrawal incurs a fee of $4. Let's assume you make 'x' withdrawals in a year. So, the total interest earned would be ($3,750 * 3.25%) - ($4 * x).
We need to find the point where the interest earned from the online savings account is less than the interest earned from the local savings account. This can be calculated as:
($3,750 * 3.25%) - ($4 * x) < $65.63
Simplifying this inequality, we get:
0.0325 * $3,750 - $4 * x < $65.63
Adding $4 * x to both sides, we have:
0.0325 * $3,750 < $65.63 + $4 * x
Simplifying further, we get:
$121.87 < $65.63 + $4 * x
Subtracting $65.63 from both sides, we have:
$121.87 - $65.63 < $4 * x
Simplifying again, we get:
$56.24 < $4 * x
Dividing both sides by $4, we find:
$14.06 < x
So, you must make more than $14.06 ATM withdrawals in a year for the local savings account to be a better deal than the online savings account.
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Express the following sum in sigma notation:
1+4+7+10+13
Answers
[tex]\Sigma_{n=1}^{5} (3n-2)[/tex]
It goes from n=1 to =5 because it is the first 5 terms of the sum.
The sequence has a first term, a₁, of 1. The common difference, d, is 3. The explicit formula would then be:
[tex]a_n=1+3(n-1)[/tex]
Using the distributive property to simplify, we would have:
[tex]a_n=1+3n-3 \\a_n=3n-2[/tex]
The given series is an arithmetic series with a common difference of 3. The sigma notation for this series is [tex]\[\sum_{n=1}^{5} (1 + 3 \cdot (n-1)).\][/tex]
Explanation:The given series 1+4+7+10+13 is an arithmetic series, where the common difference between consecutive terms is 3. Sigma notation or summation notation is a way of expressing this long sum in a concise way. The rule for the nth term in your series is
[tex]\(a_n = 1 + 3 \cdot (n-1)\), where \(a_n\)[/tex]
stands for the nth term. So, the sigma notation for this series would be
[tex]\[\sum_{n=1}^{5} (1 + 3 \cdot (n-1)).\][/tex]
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6yd 9ft 4in times 2 equals
Answers
in 2010 , a city's population was 55,210 and it was declining at a rate of 1.09% each year. which is the best prediction for when the city's population will first be below 48,000?
Answers
Answer: 2023
Step-by-step explanation:
Since, the initial population of the city is 55,210,
And, it is declining at a rate of 1.09%.
Thus, the function that shows the population after x years since 2010 is,
[tex]f(x) = 55210(1-\frac{1.09}{100} )^x[/tex]
[tex]f(x) = 55210(1-0.0109)^x[/tex]
[tex]f(x) = 55210(0.9891)^x[/tex]
If the population of town is 48000 in x years.
⇒ [tex] 55210(0.9891)^x= 48000[/tex]
⇒ [tex] (0.9891)^x= 0.869407715993[/tex]
⇒ [tex]x = 12.769[/tex]
Therefore, after 12.769 years the population of town will be equals to 48,000
⇒ After 12.770 years the population will first be below 48,000.
⇒ After approx 13 years the population will first below 48,000.
⇒ Around 2023 the population will be first below 48,000.
Answer:2022
Step-by-step explanation:
Ms. Stapleton had 2,600 hens, ducks, and goats on her farm. 35% of them were hens, and 25% of them were goats. How many ducks did she have on her farm ?
Answers
ANSWER:
Ms. Stapleton had 1,040 ducks on her farm.
-------------------------------------------------------
EXPLANATION:
What we know:
We know that altogether Ms. Stapleton had 2,600 animals.
35% of which were hens, 25% were goats, and the rest were goats.
-------------------------------------------------------
How to solve:
To find out how many of the animals are ducks, we must first find out how many are hens and ducks and then subtract them from the total number of animals.
-------------------------------------------------------
Convert the percentages to decimals by dividing them by 100, then multiply.
35 ÷ 100 = 0.35
25 ÷ 100 = 0.25
2,600 × 0.35 = 910
2,600 × 0.25 = 650
910 + 650 = 1,560
-------------------------------------------------------
Ms. Stapleton had 910 hens and 650 goats on her farm, altogether 1,560. We must subtract:
2,600 - 1,560 = 1,040
What is the expression in factored form? x2 + 14x + 48
Answers
x = -6 or x = -8
I'm just wondering, does the equation happen to be 2x^2 + 14x + 48? That would make more sense with the answer I got.
(x+8)(x+6)
What fraction of a gallon is 3 pints?
Answers
Max ran 50 meters in 10 seconds. molly ran 30 meters in 5 seconds. who ran faster
Answers
Max:
50 divided by 10 = 5 (Meaning that per second, 5 meters were ran)
Molly:
30 divided by 5 = 6 (Meaning that per second, 6 meters were ran)
The number 6 is larger than 5 . . .
6 - 5 = 1
Molly ran faster. She ran 1 meter faster per second.
Hope this helps you.
Have a great day!
To find who ran faster, we have to find the speed of Max and Molly
The formula for speed is given as Distance/Time
Max's speed
Distance Max ran = 50 meters
Time = 30 seconds
Speed = 50 m/30s
= 1.67 meters/second
Molly's speed
Distance Molly ran = 30 meters
Time = 5 seconds
Speed = 30m/5s
= 6 meters/second
Therefore, Max ran faster than Molly with a speed of 1.67 meters/second.
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The manager at Jessica's Furniture Store is trying to figure out how much to charge for a couch that just arrived. The couch was bought at a wholesale price of \$113.00$113.00dollar sign, 113, point, 00, and Jessica's Furniture Store marks up all furniture by 45\%45%45, percent.
At what price should the manager sell the couch?
Answers
Explanation:
1) Data:
Purchase price: $ 113.00
mark up: 45%
2) Formula
selling price = purchase price + mark up
mark up = % * purchase price
3) Solution
mark up = 45% * $ 113.00 = 0.45 * $ 113.00 = $50.85
selling price = $ 113.00 + $ 50.85 = $ 163.85
Answer: $ 163.85
Answer:
163.85 bucks,bix,backs,boks :P
Step-by-step explanation:
In order to find the retail price, we must first find the amount of markup. Remember that a markup rate is a percentage of the wholesale price that a store adds to get a selling or retail price. With this knowledge, we can figure out the following equation:
markup rate× wholesale price = amount of markup
Since the markup rate is a percentage, we have to convert it into a decimal first. Percent means "out of one hundred," so 45% is equivalent to 45/100 which is also equal to 45 \ 100 so 45/100 = 0.45. 0.45 * 113 = 50.85.
Since the markup rate is a percentage of the wholesale price that is added to get the retail price, we can find the retail price with the following equation:
amount of markup + wholesale price = retail price. 50.85 + 113 = 163.85
Study the function: F(x)=3/4x−7 and select the statement that is FALSE based on the lessons you have learned about the slope-intercept form of the equation of a line.
A: The slope of the function is .75 and would increase from left to right if you were to graph the function on a coordinate plane
B: The y-intercept is (0,-7)
C:The point (12,2) is a solution to the equation
D:The x-intercept is (10,0)
Answers
The Main answer is the function value at [tex]x=12[/tex] is [tex]2[/tex], not [tex]12[/tex], so the point [tex](12,2)[/tex] is not a solution to the equation. Therefore, statement C is false.
The statement that is FALSE based on the lessons about the slope-intercept form of the equation of a line is:
C: The point [tex](12,2)[/tex] is a solution to the equation
To check if a point is a solution to the equation, we substitute the coordinates of the point into the equation and see if it satisfies it. For the given function
[tex]F(x)= (3/4 )x-7:[/tex]
Substituting x=12 into the equation:
[tex]F(12)= 3/4 (12)-7\\F(12)=9-7\\F(12)=2[/tex]
The function value at [tex]x=12[/tex] is [tex]2[/tex], not [tex]12[/tex], so the point [tex](12,2)[/tex] is not a solution to the equation. Therefore, statement C is false.
COMPLETE QUESTION:
Study the function: [tex]F(x)=(3/4)x-7[/tex] and select the statement that is FALSE based on the lessons you have learned about the slope-intercept form of the equation of a line.
A: The slope of the function is .[tex]75[/tex] and would increase from left to right if you were to graph the function on a coordinate plane
B: The y-intercept is [tex](0,-7)[/tex]
C:The point [tex](12,2)[/tex] is a solution to the equation
D:The x-intercept is [tex](10,0)[/tex]
What is the product of 0.04,-0.9,1.5
Answers
By multiplying them altogether, this would the result in (-0.054).
We first do the first two problems.
0.04*-0.9.
From this solution, we multiply this by 1.5, and from this we get -0.054
The product of the numbers 0.04,-0.9,1.5 is -0.054 because the multiplication of negative and positive quantities is negative.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
As we know, we can apply the arithmetic operation to any real numbers
Also, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The numbers are:
0.04, -0.9, and 1.5
= 0.04x-0.9x1.5
First, multiply the first two numbers 0.04 and -0.9
= -0.036x1.5
(The multiplication of negative and positive quantity is negative)
= -0.054
Thus, the product of the numbers 0.04,-0.9,1.5 is -0.054 because the multiplication of negative and positive quantity is negative.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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Shelley is fresh out of college and looking for housing in Boston. She makes $37,000 a year and may have to move within two years to her company’s office in Dallas. What should Shelley value when looking for housing?
1. flexibility and short term cost
2. tax incentives and home appreciation
3. maintenance and homeowner’s fees
4. stability and long term costs
thank you for you help and time!!!
Answers
answer is 1
as Shelley has to live in Boston for only 2 years, she needs to consider that the owner is flexible enough to make 2 year rent agreement and the short term rent of the house.
Other choices are irrelevant. they may be applied while purchasing home with long term aim to stay in the place.
In triangle JKL and triangle PQR line JK = PQR line KL equals QR angle K equal angle Q then JKL must be congruent triangle PQR
Answers
Based on the information given above, we can prove that triangle JKL is congruent to triangle PQR based on the SAS postulate. In other words, since two sides (JK and KL) and the included angle (K) of triangle JKR are congruent to two sides (PQ and QR) and the included angle (Q) of triangle PQR, then triangle JKL must be congruent to triangle PQR.
Answer: True
Step-by-step explanation:
I don’t have one I know the answer because I am currently taking the quiz right now.
The surface temperature on Mars can range from -17.2°C to -107°C. Which temperature is lower?
Answers
On a graph, which characteristic shape is shown by exponential growth?
A. T-Shaped graph
B. S-Shaped graph
C. J-Shaped graph
D. Straight horizontal line
Answers
Answer:
C. J-Shaped graph
Step-by-step explanation:
A. T-Shaped graph
T- shaped graph can represents a rational function or quadratic function
B. S-Shaped graph
S shaped graph represents a cubic function. because it crosses x axis at two points.
C. J-Shaped graph
J shaped graph represents exponential function. the graph of J shape goes on increasing so its an exponential growth
D. Straight horizontal line
Straight line graph represents linear equation.
Which rule describes a translation that is 8 units to the right and 2 units up?
(x, y) (x - 8, y + 2)
(x, y) (x - 8, y - 2)
(x, y) (x + 8, y - 2)
(x, y) (x + 8, y + 2)
Answers
When translating figures, a translation to the right subtracts from the x-coordinate (sort of the opposite of how we think of graphs that go to the right). Translations up would be adding to the y-coordinate.