Answer:
9.28 Liters
Step-by-step explanation:
All we have to do is multiply the time by amount her time unit.
Solve 2 cos ø + 2=3 in the interval from 0 to 2 π.Round to the nearest hundredth.
Answer:
The value of ∅ for the given trigonometrical equation is 60° .
Step-by-step explanation:
Given as :
The Trigonometrical equation
2 cos∅ + 2 = 3
Now, Solving this equation to get the value of ∅
∴ The equation can be written as
2 cos∅ = 3 - 2
or , 2 cos∅ = 1
or , cos∅ = [tex]\dfrac{1}{2}[/tex]
∴ ∅ = [tex]cos^{-1}(\frac{1}{2})[/tex]
I.e ∅ = 60°
So,The value of ∅ for the given trigonometrical equation = ∅ = 60°
Hence, The value of ∅ for the given trigonometrical equation is 60° . Answer
17q-q-8q-4=20 solve for q
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Simplify 17q−q−8q−4 to 8q-48q−4.
8q - 4 = 20
8q = 20 + 4
8q = 24
q = 24/8
q = 3
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Can someone help me please
Answer:
both are answered below
Step-by-step explanation:
let us assume that , he buys y number of roses and x carnations.the total cost cant be more than $30.the cost of each rose : $3the cost of each carnation : $2so, the cost of all roses that he buys : 3xthe cost of all carnations that he buys : 2ythe required inequality will be : 3x+2y[tex]\leq[/tex]30the graph is in the attachment.by seeing graph, possible x,y values: (2,12) , (6,6) , (8,3)[where x represents no. of carnations that he buys , y represents no. of roses that he buys ]
Which fraction is equivalent to -3/7
3/-7
-3/-7
-7/3
7/3
Answer:
3/-7
Step-by-step explanation:
They’re correct!
Write a related subtraction fact for 5+7=12
Answer:
A related subtraction fact would be either
12-5=7 or
12-7=5
Step-by-step explanation:
Answer:
a related subtraction fact for 5+7=12 would be 12-7=5
Amber rides m miles in h hours according to the equation m=2h. Which of the following represents the unit rate for her miles per hour?
Answer:
The unit rate for her riding in miles per hour is given by 2 miles per hour.
Step-by-step explanation:
Amber rides m miles in h hours according to the equation m=2h .......... (1)
Putting h = 1 hour, we get m = 2 miles.
Therefore, Amber rides 2 miles height within a period of time 1 hour.
Therefore, the unit rate for her riding in miles per hour is given by 2 miles per hour. (Answer)
Again, differentiating equation (1) with respect to h we get,
[tex]\frac{dm}{dh} = 2[/tex] miles per hour.
So, here also we get the unit rate of her riding is 2 miles/hr.
10 POINTS!!! Brainliest.
4. Suppose the point B(2,8) is reflected across the x-axis and then translated according to the rule (x,y)→(y,x+4). What are the coordinates of B''? Show your work and explain.
Step-by-step explanation:
Point B(2, 8) reflect to x-axis
It means the x value won't change, the only thing that will change is the y value.
According to it, we can know that B' is (2, -8)
(2, -8) → (-8, 2+4) = (-8, 6) = B''
Final answer:
To obtain the coordinates of B'' after a reflection across the x-axis and a translation of (x,y)
ightarrow(y,x+4), point B(2,8) becomes B'(2,-8) after reflection and then B''(-8, 6) after translation.
Explanation:
The student is asking about the results of performing a geometric transformation on a point in the coordinate plane. Specifically, point B(2,8) is first reflected across the x-axis, and then is translated according to the rule (x,y)
ightarrow(y,x+4). To find the coordinates of B'', we follow these steps:
Reflect B across the x-axis: The x-coordinate remains the same, but the y-coordinate changes sign, resulting in B'(2,-8).
Apply the translation rule: We then take the coordinates of B' and apply the rule. The x-value of B' becomes the y-value of B'' and the y-value of B', decreased by 4, becomes the new x-value. Therefore, B'' = (-8, 2+4) = (-8, 6).
The final coordinates of B'' after the reflection and translation are (-8,6).
rewrite the expression in the form 4^n. 4^4*4^3
Answer:
[tex]4^7[/tex]
Step-by-step explanation:
If we use one of the property of exponents rules:
[tex]x^a*x^b=x^a^+^b[/tex][tex]4^4*4^3=4^4^+^3=4^7[/tex]
Fill in the blank.
7 ft. = __Inches
Inches
Answer:
84
Step-by-step explanation:
7x12
15-d=6 solve for d help me please
Answer:
[tex] \: \: \: \: \: \: 15 - d = 6 \\ = > - d = 6 - 15 \\ = > - d = - 9 \\ = > d = 9[/tex]
Verification :
[tex] \: \: \: \: \: \: 15 - d = 6 \\ = > 15 - 9 = 6 \\ = > 6 = 6[/tex]
Jerome's average speed for walking is 13 minutes and 40 seconds per mile. He will be walking for a fundraiser a total of 12 miles. Based on his average speed, how long should it take him to finish?
Answer:
164 minutes
Step-by-step explanation:
Assuming that Jerome's seed is maintained, we say that for every 1 mile, he takes 13 minutes and 40 seconds which is equivalent to[tex]13\frac {2}{3}[/tex] since 1 minute has 60 seconds hence [tex]\frac {40}{60}[/tex]=[tex]\frac {2}{3}[/tex]
Now if
1 mile = [tex]13\frac {2}{3}[/tex]
12 miles=??
We cross multiply hence 12\times[tex]13\frac {2}{3}=164[/tex]
Therefore, Jerome needs 164 minutes, equivalent to 2 hours 44 minutes
Jaquan bought 25 yards of cloth. He used 4.9 yards for a decoration and 10.6 yards to make costumes for the school play. Express the amount of cloth left over as a fraction in simplest form
Final answer:
To find the amount of cloth left over, subtract the amount used from the total amount. Jaquan had 9.5 yards of cloth left over, which can be expressed as the fraction 19/50.
Explanation:
To find the amount of cloth left over, we need to subtract the amount used from the total amount. Jaquan bought 25 yards of cloth, used 4.9 yards for a decoration, and used 10.6 yards to make costumes. To find the amount left over, we subtract the sum of 4.9 yards and 10.6 yards from 25 yards: 25 - 4.9 - 10.6 = 9.5 yards.
The amount of cloth left over can be expressed as a fraction by dividing the amount left over by the total amount. So, 9.5 yards can be written as the fraction 9.5/25, which can be simplified by dividing both the numerator and denominator by 0.5 to get 19/50. Therefore, the amount of cloth left over is 19/50.
Define a translation and explain why it is a congruent figure
Express sin6θ + sin4θ as a product.
Answer: [tex]2 sin(5 \theta) cos \theta[/tex]
Step-by-step explanation:
According to the trigonometric identities we have the following formula:
[tex]sin (x) + sin (y)=2 sin(\frac{x+y}{2}) cos(\frac{x-y}{2})[/tex]
Now, we have the following:
[tex]sin (6\theta)+ sin (4\theta)[/tex]
Where [tex]x=6\theta[/tex] and [tex]y=4\theta[/tex]
Hence:
[tex]sin (6\theta)+ sin (4\theta)=2 sin(\frac{6\theta+4\theta}{2}) cos(\frac{6\theta-4\theta}{2})[/tex]
[tex]sin (6\theta)+ sin (4\theta)=2 sin(\frac{10\theta}{2}) cos(\frac{2\theta}{2})[/tex]
Finally:
[tex]sin (6\theta)+ sin (4\theta)=2 sin(5\theta) cos(\theta)[/tex]
Sonoma bikes 5 miles to Paige's house. On a map, they measure that distance as 5/6cm. The same map shows that the mall is 3 1/2cm from Paige's house. What is the actual distance between Paige's house and the mall?
Answer:
21 miles
Step-by-step explanation:
Hence, the actual distance between Paige's house and the mall is [tex]21[/tex] miles.
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Sonoma bikes [tex]5[/tex] miles to Paige's house. On a map, they measure that distance as [tex]\frac{5}{6}[/tex]cm. The same map shows that the mall is [tex]3\frac{1}{2}[/tex]cm from Paige's house.
Let the actual distance between Paige's house and the mall is [tex]x[/tex]
So,
[tex]\frac{5}{\frac{5}{6}}=\frac{x}{\frac{7}{2}}\\\\\\5(\frac{6}{5})=x(\frac{2}{7})\\\\\\6=\frac{2x}{7}\\\\\\x=6(\frac{7}{2})\\\\\\x=\frac{42}{2}\\\\\\x=21[/tex]
Hence, the actual distance between Paige's house and the mall is [tex]21[/tex] miles.
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Julia shipped 6 packages. The lightest one weighted 24 pounds and the heaviest one weighed 67 pounds which is a reasonable range for the total weigh of the 6 packages?
43 pounds is a reasonable range for the total weigh of 6 packages.
Step-by-step explanation:
Given,
Number of packages shipped = 6
Weight of lightest = 24 pounds
Weight of heaviest = 67 pounds
Let,
a, b, c, d be the weight of other four packages.
24, a, b, c, d, 67 (written in lighter to heavier weight order)
Range is defined as the difference between the lowest and highest values.
Range = Highest weight - Lowest weight
Range = 67 - 24 = 43 pounds
43 pounds is a reasonable range for the total weigh of 6 packages.
Keywords: range, difference
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The reasonable range for the total weight of the 6 packages is 24 pounds to 67 pounds.
Explanation:The reasonable range for the total weight of the 6 packages is 24 pounds to 67 pounds.
Since the lightest package weighs 24 pounds and the heaviest package weighs 67 pounds, any total weight between these two values would be reasonable.
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Fiona has a play yard for her dog. She mows the yard in 8 equal rows. Each row has 41.75 square feet.
Play Yard
41.75 f2
Which is the best method to find how many square feet are in the play yard?
O multiply 8 times 41.75
o divide 41.75 by 8
o divide 92 by 41.75
O multiply by I think that says 8 squared times 41.75
Answer: the answer that actually makes since is multiply 8 times 41.75 that also equals out to 334 which would be accurate
Step-by-step explanation:
Answer:
multiply 8 times 41.75
Step-by-step explanation:
i got it right on my test
A custodian plans to repaint some classrooms. He has 5 = gallons of paint. All of
the bookcases are the same size and each requires 2 gallons of paint. How many
bookcases will he be able to repaint with that amount of paint? Show your work...
Answer: 2 bookcases.
Step-by-step explanation:
Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.
According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:
[tex]\frac{2}{1}=\frac{5}{x}[/tex]
Now you must solve for "x" in order to find its value:
[tex](x)(\frac{2}{1})=5\\\\2x=5\\\\x=\frac{5}{2}\\\\x=2.5[/tex]
Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:
[tex]x\approx2[/tex]
The custodian will be able to repaint 2 bookcases with 5 gallons of paint.
Explanation:To determine the number of bookcases the custodian will be able to repaint with 5 gallons of paint, we need to divide the total amount of paint by the amount of paint required for each bookcase. Each bookcase requires 2 gallons of paint, so we divide 5 gallons by 2 gallons per bookcase:
5 gallons ÷ 2 gallons/bookcase = 2.5 bookcases
Since we cannot have 0.5 of a bookcase, the custodian will be able to repaint 2 bookcases with 5 gallons of paint.
A circle has a radius with endpoints at(2,5) and (-1,-4).Find the circumference and area of the circle.
Answer:
circumference is 59.6075
area is 282.743
Step-by-step explanation:
To find the circumference and area of the circle, we need to first find the radius. This can be achieved using the distance formula.
The distance formula goes as follows: for any two points on an coordinate plane, the distance can be calculated using a certain method. This method is the derived from the Pythagorean Theorem. Basically, you find the distance from right to left and square it, and then find the distance from up to down and square it. You add these two values together and then square root the whole thing. I know, its complicated.
To apply this to your problem, we do 2-(-1) to find the distance from right to left (x-distance) and then we do 5-(-4) to find the distance from up to down (y-distance). 2-(-1)=3 and squaring that we get 9. 5-(-4)=9 and squaring that we get 81. Adding these two values together, we get 90 and square rooting it we get [tex]\sqrt{90}[/tex].
The formula for circumference of a circle is 2Pi * radius and plugging in our values we get 2Pi * [tex]\sqrt{90}[/tex] which gives us approximately 59.6075.
The formula for area of a circle is Pi * radius^2 and plugging in our values we get Pi * [tex]\sqrt{90}[/tex] ^2 which gives us approximately 282.743.
How much would $150 invested at 8% interest compounded continuously be
worth after 17 years? Round your answer to the nearest cent.
A(t) = Poet
Answer:
[tex]A=\$584.43[/tex]
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=17\ years\\ P=\$150\\ r=8\%=8/100=0.08[/tex]
substitute in the formula above
[tex]A=150(e)^{0.08*17}[/tex]
[tex]A=150(e)^{1.36}[/tex]
[tex]A=\$584.43[/tex]
Help I’m so confused
Answer:
The measure of arc AC is [tex]136^o[/tex]
Step-by-step explanation:
Notice that angle BAC (whose measure is given as 34 degrees) is an inscribed angle, and according toe the inscribed angle theorem, the measure of an inscribed angle is half the measure of the central angle that subtends the same chord.
Then, the central angle that subtends the cord BC, is twice 34 degrees ([tex]2\,*\,34^o = 68^o[/tex])
Then, since they give us also the measure of the arc AB which is [tex]156^o[/tex], then the measure of arc AC can be estimated as the needed measure to complete [tex]360^o[/tex] as the sum of all three arcs. That is:
[tex]AC + AB+ BC = 360^o\\AC + 156^o+2\,*\,34^o = 360^o\\AC + 156^o+68^o = 360^o\\AC=360^o-156^o-68^o\\AC=136^o[/tex]
Select the sentence that explains the error in the given statement.
A line is contained in exactly one plane
A. A line must be coplanar to be contained in exactly one plane.
B. A line cannot be contained in a plane.
C. A line is contained in exactly one point.
D. A line can be contained in more than one plane.
Answer:
D. A line can be contained in more than one plane .
Step-by-step explanation:
A. is wrong because a line can't be said as coplanar . We can draw infinite number of planes through a line .
B. is wrong because a line can be contained in infinite number of planes.
C. is wrong because a line can't be contained in a point as a line is a collection of points.
D. is the right answer as every line passes through infinite number of planes.
Si n es un número impar, ¿cuál de las siguientes opciones representa un número par? a) 2n +1 b) n (n + 2) c) n + (n-1) e) 2 (n + 1)
Answer:
Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
Step-by-step explanation:
Let X=set of all odd numbers
that is [tex]X={\{1,3,5,7...}\}[/tex]
Let Y=set of all even numbers
that is [tex]Y={\{2,4,6,8...}\}[/tex]
Verify that 2(n+1) represents an even number where n is an odd number:
Put n=1 in 2(n+1) we get
2(1+1)=2(2)=4
Put n=3 in 2(n+1) we get
2(3+1)=2(4)=8
Put n=5 in 2(n+1) we get
2(5+1)=2(6)=12
and so on.
From above results we get 2(n+1) represents an even number and is belongs to the set Y when n is an odd number.
Therefore Option E) is correct
If n is an odd number then 2(n+1) represents an even number.
What is 1,364 divided by 62
write as a fraction and simplify 4^-4
Answer:
1/256
Step-by-step explanation:
1/256
4^-4 as a fraction is 1/256. It cannot be further simplified because 1 and 256 have no common factors other than 1, making it the simplest form.
To express 4^-4 as a fraction and simplify it, we can apply the rule that states any non-zero number raised to a negative exponent is equivalent to 1 divided by that number raised to the positive exponent.
So, for 4^-4, we can write it as:
4^-4 = 1 / 4^4
Now, let's calculate 4^4:
4^4 = 4 * 4 * 4 * 4 = 256
So, we have:
4^-4 = 1 / 256
This is the fraction representation of 4^-4. To determine if it can be further simplified, we can check if the numerator and denominator have any common factors other than 1. In this case, 1 and 256 have no common factors other than 1.
Therefore, 1/256 is already in its simplest form. It represents the fraction equivalent of 4^-4, which is a small value. It means that 4 raised to the power of -4 is a very small positive number, specifically 1/256, indicating that the original number 4^-4 is less than 1 and quite close to zero in value.
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HELP ME URGENT!!!!! 12 POINTS
Complete the point-slope equation of the line through (-2,6) and (1,1)
y-6____
Answer:
Step-by-step explanation:
(-2,6),(1,1)
slope = (1 - 6) / (1 - (-2) = -5/3
y - y1 = m(x - x1)
slope(m) = -5/3
(-2,6)....x1 = -2 and y1 = 6
and we get :
y - 6 = -5/3(x - (-2)...which can further be simplified to :
y - 6 = -5/3(x + 2) <=== ur answer
What is the right-hand limit of this function at x = 2?
g(x) =x^2-3/x-3
Answer:
-1
Step-by-step explanation:
A function assigns the values. The right-hand limit of this function at x=2 is -1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The right-hand limit of the function when the value of x=2, can be found by substituting the value of x as 2 in the given function, therefore, the right-hand limit of this function at x=2 is,
g(x) = (x²-3)/(x-3)
g(2) = (4-3)/(2-3)
g(2) = -1
Hence, the right-hand limit of this function at x=2 is -1.
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a salesperson at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold. a. how many vehicles does the salesperson need to sell in a month to earn $4400?
Answer:
8 vehicle.
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
[tex]\$ 4400-\$ 2400= \$ 2000[/tex]
∴ $2000 need to be earned only through incentive, which is $250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle= [tex]\frac{2000}{250}= 8\ vehicles[/tex]
∴ 8 vehicles need to be sold by salesperson to get total earning as $4400.
The salesperson needs to sell 8 vehicles to earn a total of $4400 in a month.
To determine the number of vehicles a salesperson needs to sell to earn a total of $4400, we can set up an equation based on the information provided.
The salesperson earns a fixed monthly salary of $2400 and an additional $250 for each vehicle sold. Let's denote the number of vehicles sold as x
We want the total earnings E to be $4400, so we set up the equation:
4400 = 2400 + 250x
Now, we solve for x
250x = 4400 - 2400
x= 8
Therefore, the salesperson needs to sell 8 vehicles to earn a total of $4400 in a month.
please solve with work much appreciated
Answer:
[tex]293,148\ mm^2[/tex]
Step-by-step explanation:
The cup has cylivdrical shape. Find the volume of the cylinder using formula
[tex]V=\pi r^2h,[/tex]
where
r = base radius
h = height
In your case,
r = 36 mm
h = 72 mm
then
[tex]V=\pi \cdot 36^2\cdot 72=93,312\pi \ mm^2\approx 293,148\ mm^2[/tex]
At a restaurant jars of tomato are stored in boxes in the pantry. each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes.
Answer:
[tex]y=8x-2[/tex]
Step-by-step explanation:
Here is the complete question: At a restaurant jars of tomato are stored in boxes in the pantry. each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes. Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?
Given: Each boxes contain 8 jars of tomato sauce.
Cook uses 2 jars from 1 of the boxes.
As we know total number of boxes is "x".
Number of jars in the pantry is [tex]8\ jars \times x\ boxes= 8x \ jars[/tex]
∵ cook uses 2 jars from one box.
∴ [tex]y=8x-2[/tex] ( y is used to show relationship)
The relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry is [tex]y=8x-2[/tex].