Answers
Answer:
so you answered your own question?
Related Questions
In order to make a specific shade of green paint, a painter mixes 1/2
of a gallon of blue paint with 4/5
of a gallon of yellow paint.
How many gallons of each color are needed to make 26 total gallons of this color?
Answers
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
Let x represent the total amount of paint.
(1/2)x + (4/5)x = 26
1.3x = 26
x = 20
Therefore:
Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons
Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
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must use matlab If the leg of a right triangle is a, the hypotenuse is b, then write a function file 'mysolve.m' to calculate the area of the right triangle.
Answers
The function file 'mysolve.m' takes two inputs a and b, calculates the area of the right triangle using the given formula A = 0.5 * a * h and returns the area as output.
To calculate the area of a right triangle, we use the formula A = 0.5 * base * height or A = 0.5 * a * b where a is the length of the leg and b is the length of the hypotenuse.
The function file 'mysolve.m' to calculate the area of the right triangle is given below:
function [area] = mysolve(a,b)h = sqrt(b^2-a^2);area = 0.5*a*h;end
Explanation: The given function takes two input parameters a and b which are the length of the leg and hypotenuse respectively. We first calculate the height h of the triangle using the Pythagorean theorem which is h = sqrt(b^2-a^2). We then use the formula A = 0.5 * base * height to calculate the area of the right triangle where base is a and height is h. Finally, we return the calculated area as output from the function file 'mysolve.m'.
Conclusion: Thus, the function file 'mysolve.m' takes two inputs a and b, calculates the area of the right triangle using the given formula A = 0.5 * a * h and returns the area as output.
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A surveyor measured the angle of elevation of a flat spire as 15 degree from a point in horizontal group.He movrs 30m nearer to the flat and measure the angle of elevation at 43 degrees.Calculate the height of the spire to the nearest hundredth.
Answers
Answer:
11.28m
Step-by-step explanation:
The computation of the height of the spire is shown below:
let us assume the height of the spire be x
Now
For triangle ABD
Tan 43 degrees = h ÷ x
x = h × cot 43 degrees
= 1.07236 h
For triangle ABC
tan 15 degrees = h ÷ (30 + x)
0.2679 = h ÷ 30 + 1.07236h
8.038 + 0.28728 h = h
h = 11.28m
-2 1/5 divided by -3/7
Answers
Answer:
77/15 or 5 2/15 in mixed form or 5.1333333 to infinty
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
solve number 6 part A and B
Answers
a. The equation will be THC(x) = 304 mg * (0.48)^(x/10)
b. After 60 days, there will still be approximately 4.53 mg of THC in the person's body.
How to calculate the valuea. To describe the amount of THC in a person's body x days after consuming 8 ounces of marijuana, we can use the equation:
THC(x) = 304 mg * (0.48)^(x/10)
In this equation, x represents the number of days since the consumption of 8 ounces of marijuana, and THC(x) represents the amount of THC in milligrams in the person's body at that time.
b. To find out how much THC will be in the person's body after 60 days, we need to substitute x = 60 into the equation:
THC(60) = 304 mg * (0.48)^6
Calculating this expression, we get:
THC(60) ≈ 304 mg * 0.0149
≈ 4.53 mg
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a cardboard box without a lid is to have a volume of 27,436 cm3. find the dimensions that minimize the amount of cardboard used
Answers
let x ,y be lengths of sides of base , z be height of box
amount of cardboard used =surface area s=xy +2xz +2yz
volume v= x y z =27436
==>z=27436/xy
s=xy +2x*27436/xy +2y*27436/xy
s=xy +54872/y +54872/x
minimum amount ==>ds/dx=0 ,ds/dy =0
==>ds/dx= y-54872/x^2 =0 ,ds/dy= x-54872/y^2 =0
==> yx^2=54872 ,xy^2 =54872
xy^2 -yx^2 =0 ==>xy(y-x)=0 ==>y=x
yx^2=54872==>y=54872/x^2
xy^2 =54872==>x(54872/x^2)^2 =54872 ==>x^3 =54872 ==>x=38
==>y=38
xyz=27436 ==>z=27436 /xy ==>z=27436 /(38*38) ==>z=19
dimensions of box are 38x38x19
(largest side)38 (smallest side)19
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Do number 8 and 9 please
Answers
Solution (8):
Note that:
0.5 miles = 8.5 minutesFinding out how much miles in 1 minute:
0.5 miles = 8.5 minutes=> 0.5/8.5 = 1 minute=> 1/17 miles = 1 minuteHence, the unit rate in miles per minute is 1/17 miles per minute.
Solution (9):
Note that:
7/8 square yards = 1/20 hoursFinding, how much yards in 1 hour:
7/8 square yards = 1/20 hours=> 7/8 x 20 square yards = 1/20 x 20 hour=> 7/2 x 5 square yards = 1 hour=> 35/2 yards² = 17.5 yards² = 1 hourHence, the unit rate in square yards per hour is 17.5 square yards per hour.
Which number is less
than -5?
A-8
B5
СО
Answers
Answer:A: -8
Step-by-step explanation
More on the left of the number line then -5
Find the inverse of each function:
g(x)=\(\frac{-5x+5}{2}\)
A. g^{-1}\)(x)=\(\frac{5-2x}{5}\)
B. g^{-1}\)(x)=\(4+\frac{4}{3}x\)
C. g^{-1}\)(x)=\(\frac{10-x}{2}\)
D. g^{-1}\)(x)=\(-4+\frac{1}{3}x\)
Answers
Answer:
Step-by-step explanation:
Replace g(x) with y, then switch the x and y variables:
\(x=\frac{-5y+5}{2}\)
Solve for the new y value, multiply by 2:
\(2x=-5y+5\)
Subtract 5 on both sides:
\(2x-5=-5y\)
Divide by -5 on both sides:
\(-\frac{2x-5}{5} =y\)
Distribute the negative sign and rearrange:
\(\frac{-2x+5}{5} =\frac{5-2x}{5} =g^-^1(x)\)
Answer:
A. g⁻¹(x) = (5 - 2x)/5Step-by-step explanation:
Given functiong(x) = (-5x + 5)/2Find the inverse of g(x)SolutionSubstitute x with y and g(x) with x and then solve for y:
x = (-5y + 5) /22x = -5y + 55y = -2x + 5y = (-2x + 5)/5y = (5 - 2x)/5Replace y with g⁻¹(x)
g⁻¹(x) = (5 - 2x)/5Correct choice is A
19.86 - 4.94 please help i don’t u understand this
Answers
Answer:
14.92
Step-by-step explanation:
you basically add them. just like normal numbers but add the decimal point.
Answer:
14.92
You need to do like this:
19.86
-4.94
--------
14.92
Suppose C is the curve r(t) = (4t,21%), for Osts2, and F = (4x,5%). Evaluate F.Tds using the following steps. a. Convert the line integral F.Tds to an ordinary integral. [F-Tds to a b. Evaluate the integral in part (a). с a Convert the line integral F.Tds to an ordinary integral. C froids to a SETds - T dt (Simplify your answers.) () C The value of the line integral of Fover C is 10368 (Type an exact answer, using radicals as needed.)
Answers
The line integral of F over C has a value of 10368.
To evaluate the line integral of F ⋅ ds over the curve C, we can follow these steps:
a. Convert the line integral F ⋅ ds to an ordinary integral:
The line integral of F ⋅ ds over C can be expressed as the integral of the dot product of F and the tangent vector dr/dt with respect to t:
∫ F ⋅ ds = ∫ F ⋅ (dr/dt) dt
b. Evaluate the integral in part (a):
Given F = (4x, 5%) and C defined by r(t) = (4t, 21%), we need to substitute the components of F and the components of r(t) into the integral:
∫ F ⋅ (dr/dt) dt = ∫ (4x, 5%) ⋅ (4, 21%) dt
= ∫ (16t, 105%) ⋅ (4, 21%) dt
= ∫ (64t + 105%) dt
Now, let's evaluate the integral:
∫ (64t + 105%) dt = 32t^2 + 105%t + C
c. Convert the line integral F ⋅ ds to an ordinary integral:
To convert the line integral F ⋅ ds to an ordinary integral, we express the differential ds in terms of dt:
ds = |dr/dt| dt
= |(4, 21%)| dt
= √(4^2 + (21%)^2) dt
= √(16 + 0.21) dt
= √16.21 dt
Therefore, the line integral F ⋅ ds can be expressed as:
∫ F ⋅ ds = ∫ (32t^2 + 105%t + C) √16.21 dt
The value of the line integral of F over C is 10368.
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Question 11 options:
The area of a rectangle is 80 cm2.
The length is x – 8, and the width is x + 8.
Find the value of x, and the dimensions of the rectangle.
A = lw
Answers
Answer:
x = 12
length = 4 cm
width = 20 cm
Step-by-step explanation:
a = lw
Plug in the givens
80 = (x - 8)(x + 8)
Multiply
80 = x^2 - 64
Add 64 to both sides
144 = x^2
Take the square root of both sides
x = ±12
(The negative root is extraneous since the dimensions can not be negative)
x = 12
length = x - 8 = 4 cm
width = x + 8 = 20 cm
If I have a 72.82% in a class and I get a 50/100 on an assignment, what will that make my new grade?
Answers
Answer:
That would be like a 60 something.
Step-by-step explanation:
chromesway you're smart please help me
Answers
Answer:
A
Step-by-step explanation:
If since y = 0 is a line of symmetry for the rectangle, reflection over y = 0 will just map the rectangle onto itself.
Multiple Choice An equation of the line
whose slope is – 6 and whose y-intercept is 9
is ? ?
A y = -9x – 6 ( B y = 9x – 6
c) y = -6x - 9 D y = 6x - 9
E y = -6x + 9
Answers
Answer: answer is E
Step-by-step explanation: because it slope is -6(x) and intercept is (+)9
Write the ratio as a fraction in simplest form.
25 to 45
The ratio as a fraction in simplest form is _______
I will give Brainliest and lots of points
Answers
Answer:
5 : 9
Step-by-step explanation:
divide both terms by the greatest common factor which in this case is 5
A tennis court is 78 feet long with the net located at the center. The distance from the net to the back of the service box is 21 feet, and the net is 3 feet tall. Assuming Carina can hit the ball so hard that its path is linear, from what height must she hit the ball to have the serve just clear the net and land in the service box? Decide whether or not it is reasonable for Carina to reach this height if she is 5′7" tall. Also, at what angle does the ball hit the ground? Your solution should include: A labeled diagram that shows a bird's-eye view of the path of the ball. A labeled diagram that shows the side view of Carina, the ideal height of the tennis racket, the ideal path of the tennis ball, and the measurements that are needed from the bird's-eye view diagram.
Answers
Carina needs to hit the ball at a height of about 3.04 feet to clear the net and land in the service box.
What is the trigonometric ratio?
There are six trigonometric ratios- sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec). Let θ be the angle of the right-angled triangle then, sin θ = opposite side/hypotenuse or 1/cosθ.
To determine the height Carina needs to hit the ball to clear the net and land in the service box, we can use the following steps:
Draw a bird's-eye view diagram of the tennis court, including the net, the service box, and the path of the ball.
Draw a side view diagram of Carina and the ideal path of the tennis ball, including the measurements that are needed from the bird's-eye view diagram.
Use trigonometry to calculate the height Carina needs to hit the ball.
Determine whether it is reasonable for Carina to reach this height, given her height of 5'7".
Calculate the angle at which the ball hits the ground.
Here are the steps in more detail:
Bird's-eye view diagram:
We can draw a bird's-eye view diagram of the tennis court, with the net located at the center and the service box 21 feet away from the net. The distance from the net to the service box is (78-21)/2 = 28.5 feet. We can label the diagram with these distances and the height of the net (3 feet).
Side view diagram:
Next, we can draw a side view diagram that shows Carina, the ideal path of the tennis ball, and the measurements that are needed from the bird's-eye view diagram. We can label the diagram with the height of the tennis racket (h) and the distance from the racket to the net (x). We also need to label the height Carina needs to hit the ball to clear the net (y) and the height of the net (3 feet).
Calculate the height Carina needs to hit the ball:
To calculate the height Carina needs to hit the ball, we can use the following trigonometric formula:
tan(θ) = y / x
where theta is the angle between the ideal path of the ball and the ground, y is the height Carina needs to hit the ball, and x is the distance from the racket to the net.
Solving for y, we get:
y = x * tan(θ)
We know that x = 21 feet, and we can estimate that the angle theta is about 8 degrees (since the ball needs to clear the net by at least 3 feet). Plugging in these values, we get:
y = 21 * tan(8) = 3.04 feet
So Carina needs to hit the ball at a height of about 3.04 feet to clear the net and land in the service box.
Determine whether it is reasonable for Carina to reach this height:
Carina's height is 5'7", which is equivalent to 67 inches.
If we assume that Carina's arm reaches to about shoulder height, which is roughly halfway between her height and the height she needs to hit the ball (3.04 feet), then she would need to hit the ball about 1.5 feet above her shoulder.
This seems like a reasonable height for a skilled tennis player.
Calculate the angle at which the ball hits the ground:
To calculate the angle at which the ball hits the ground, we can use the following trigonometric formula:
tan(θ) = y / (x + d)
where d is the distance from the net to where the ball lands. We know that y = 3.04 feet, x = 21 feet, and d = 21 + 21 = 42 feet (since the ball travels the same distance on the other side of the court). Plugging in these values, we get:
tan(θ) = 3.04 / 42
θ = arctan(3.04 / 42)
θ = 0.07225
Hence, Carina needs to hit the ball at a height of about 3.04 feet to clear the net and land in the service box.
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Random variable X is approximately normally distributed with mean 30 and standard deviation 6, and random variable Y is approximately normally distributed with mean 41 and standard deviation 8. If X and Y are independent, which of the following best described the distribution X-Y? Approximately normal with mean -11 and standard deviation 10 Approximately normal with mean -11 and standard deviation 14 Approximately normal with mean 11 and standard deviation 2 Approximately normal with mean 11 and standard deviation 10 Approximately normal with mean 11 and standard deviation 14
Answers
The distribution X-Y is approximately normal, with a mean of -11 and a standard deviation of 10. When the two variables X and Y are independent and normal, the variance of the sum of the variables is the sum of their variances.
In other words, if X and Y are normal, then their sum or difference is also normal. In this case, X is approximately normally distributed, with a mean of 30 and a standard deviation of 6.
Y is also approximately normally distributed, with a mean of 41 and a standard deviation of 8. Therefore, X-Y is the sum of the two normal distributions, which is approximately normal, with a mean equal to the difference of the means of the two distributions (41 - 30 = 11) and a standard deviation equal to the square root of the sum of the squares of their standard deviations (sqrt(62 + 82) = 10).Therefore, the distribution X-Y is approximately normal with a mean of 11 and a standard deviation of 10. Thus, the option that describes the distribution of X-Y is approximately normal, with a mean of -11 and a standard deviation of 10.To learn more about “standard deviation ” refer to the https://brainly.com/question/475676
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Which one of the points satisfies the following two linear constraints simultaneously?
2x + 5y ≤ 10 10x + 6y≤ 42
a. x= 6, y = 2
b. x=6, y = 4
c. x=2, y = 1
d. x=2, y = 6
e. x = 5, y = 0
Answers
The point e. x = 5, y = 0 satisfies the two linear constraints simultaneously. We have two linear constraints which are given as;
2x + 5y ≤ 10 (Equation 1)
10x + 6y ≤ 42 (Equation 2)
We need to find the point which satisfies both equations. Let us plug in the values one by one to check which one satisfies the two equations simultaneously.
a. x= 6, y = 2
In Equation 1:2x + 5y = 2(6) + 5(2) = 17
In Equation 2:10x + 6y = 10(6) + 6(2) = 66
Thus, this point does not satisfy equations 1 and 2 simultaneously.
b. x=6, y=4
In Equation 1:2x + 5y = 2(6) + 5(4) = 28
In Equation 2:10x + 6y = 10(6) + 6(4) = 72
Thus, this point does not satisfy equations 1 and 2 simultaneously.
c. x=2, y = 1
In Equation 1:2x + 5y = 2(2) + 5(1) = 9
In Equation 2:10x + 6y = 10(2) + 6(1) = 26
Thus, this point does not satisfy equations 1 and 2 simultaneously.
d. x=2, y = 6
In Equation 1:2x + 5y = 2(2) + 5(6) = 32
In Equation 2:10x + 6y = 10(2) + 6(6) = 52
Thus, this point does not satisfy equations 1 and 2 simultaneously.
e. x = 5, y = 0
In Equation 1:2x + 5y = 2(5) + 5(0) = 10
In Equation 2:10x + 6y = 10(5) + 6(0) = 50
Thus, this point satisfies both equations simultaneously.
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A match-seller arranges his matchboxes in a
triangular pattern . He
continues until there are 11 matchboxes in
the bottom row of the triangle. How many
matchboxes are in the complete pattern?
Answers
Answer:
35
since they are 11 in the bottom and sides of are not equal . they didn't tell what type of triangle it is .
pls help...
solve for x in the following...pls explain
a)7x+5=3x-1
b)5x+12=3x+14
Answers
Answer:
a) x = -1.5
b) x = 1
Step-by-step explanation:
For problem a, you can start by subtracting 3x from both sides to gather all the like terms together:
7x + 5 = 3x - 1
-3x -3x
4x + 5 = -1
Next, to get the coefficients on one side, you subtract 5 from both sides:
4x + 5 = -1
-5 -5
4x = -6
Now, you divide by 4 on both sides to isolate x:
x = -6/4 = -1.5 --- > x = -1.5
For problem b, you start by subtracting 3x from both sides(kinda like problem a):
5x + 12 = 3x + 14
-3x -3x
2x + 12 = 14
Next, you can subtract 12 from both sides, isolating the "x term".
2x + 12 = 14
-12 -12
2x = 2
Lastly, you can divide by 2 to get x:
x = 1
1:
\(7x +5=3x-1\\7x+5-3x=-1\\7x-3x=-1-5\\4x= -1-5\\4x= -6\\x=-\frac{6}{4} (en donde ambos se divide entre 4)\\Respuesta / x=-\frac{3}{2}\)
2:
\(5x+12=3x + 14\\5x+12-3x=16\\5x-3x=16-12\\2x= 16-12\\2x= 4\\x=4/2\\( se divide entre 2)x= 2\)
if the hypotenuse of an isosceles right triangle has a length of 5 centimeters what is the length of one of the legs
Answers
Answer:
a =b = \(\frac{5\sqrt{5} }{5}\)
Step-by-step explanation:
\(a^{2} +b^{2} = 5 ^{2}\)
a = b
\(2a^{2} = 5 ^{2}\)
\(2a^{2} = 25\\\)
\(a^{2} = \frac{25}{5}\)
a = \(\frac{5}{\sqrt{5} }\)
must rationalize...
a =b = \(\frac{5\sqrt{5} }{5}\)
Part 1: You work 4 hours and earn $36. What is your earning rate (dollars per hour)?
Answers
Answer:
9 dollars per hour
Step-by-step explanation:
36/4=9
Answer:
9
Step-by-step explanation:
4 hours : $36
1 hour : $ x
we need to find x so,
4 hours ÷ 4 = 1 hour
1 : $
since we have divided 4 by 4,
we need to do that to 36 aswell
36 ÷ 4 = 9
1 hour : $9
HURRY!!!!!!!!!!!
What is the value of the expression below?
(8+1/8) divided by (2.5+3/4)
2.5
4.875
11.375
26.4
Answers
Answer:
2.5
Step-by-step explanation:
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
Answer:
The answer is the first one 2.5
Step-by-step explanation:
=8 + 1/8 / 2.5 + 3/4
= 64+1/ 10+3/4
=65/8/ 13/4
=65/8 * 4/13
=65/ 2 * 13
=65/26
=2.5
8 + 1/8 / 2.5 + 3/4 = 2.5
a study showed that 15 of 24 cell phone users with a headset missed their exit, compared with 6 of 24 talking to a passenger. construct a 98 percent confidence interval for the difference in proportions.
Answers
To construct a 98 percent confidence interval for the difference in proportions, we need to calculate the sample proportions and the standard error of the difference. First, let p1 be the proportion of cell phone users with a headset who missed their exit, and p2 be the proportion of those talking to a passenger who missed their exit.
Step 1: Identify the proportions.
- Proportion of cell phone users with a headset who missed their exit (p1): 15/24
- Proportion of cell phone users talking to a passenger who missed their exit (p2): 6/24
Step 2: Calculate the difference in proportions (p1 - p2).
- (15/24) - (6/24) = 9/24 = 0.375
Step 3: Calculate the standard error (SE) for the difference in proportions.
- SE = √[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]
- SE = √[((15/24) * (1 - 15/24) / 24) + ((6/24) * (1 - 6/24) / 24)] = √(0.01042) = 0.102
Step 4: Find the critical value (z-score) for a 98% confidence interval.
- Using a z-table or calculator, the z-score for a 98% confidence interval is approximately 2.33.
Step 5: Calculate the margin of error (ME).
- ME = z-score * SE
- ME = 2.33 * 0.102 ≈ 0.238
Step 6: Construct the 98% confidence interval.
- Lower limit: (p1 - p2) - ME = 0.375 - 0.238 ≈ 0.137
- Upper limit: (p1 - p2) + ME = 0.375 + 0.238 ≈ 0.613
The 98% confidence interval for the difference in proportions is approximately (0.137, 0.613). This means we can be 98% confident that the true difference in the proportion of cell phone users with a headset who missed their exit and those talking to a passenger who missed their exit falls within this interval.
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Given the equation 3x − 4y = 8, which equation below would cause a consistent-dependent system? (2 points)
Answers
Hope it helps
A coupon book has a coupon for 40% off of a lift ticket at Mt. Woodstock. A lift ticket usually costs $70. How much would a skier save?
Answers
Answer:
The Skier would save $28 dollars
Step-by-step explanation:
The answer is 28 because 40% of 70 is 28.
Hope this helps! :)
Answer:
The skier would spend $48 and save $28
Step-by-step explanation: In the attachment
solve the equation −12=y−11
Answers
Step-by-step explanation:
this is your answer..........
Plz help me I really need help
Answers
Answer:
\(y= -11/2 x -52\)
Al dividir "D" entre "d" se obtuvo 12 de
cociente y 8 de residuo. Si: D + d = 203.
Hallar: D
Answers
El valor que satisface D es 188.
El modelo matemático será así:
D/d = 12(resto 8)
si escribimos 8 como resto de D, entonces:
(D-8) /d=12
D-8= 12d o se puede escribir D= 12d+8
luego sustituya D= 12d+8 por D+d= 203
D+d= 203
(12d +8) +d= 203
13d= 203-8
13d= 195
re=15
sustituir d=15 en D+d= 203
D+d= 203
D+15=203
D=203-15
D=188
Sobre el modelo matemáticoEl modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.
El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.
, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:
Agrega velocidad, claridad y poder de ideas en un período de tiempo relativamente corto. La descripción del problema ocupa un lugar central. Obtener una comprensión o claridad del mecanismo en el problema. Se puede utilizar para predecir eventos que surgirán de un fenómeno o su expansión. Como base para la planificación y el control en la formulación de políticas, entre otros.Obtenga más información sobre el modelo matemático en
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