Answer: y = (w-3x) / 7
Step-by-step explanation:
w = 3x + 7y
7y + 3x = w
7y = w - 3x
y = (w-3x) / 7
According to the graph below, what is y when x is 4?
y-axis
10
9
8
2
2
3
x-axis
4
5 6
The numeric value of the function when x = 4 is of: y = 5.
What is the missing information?The graph is not given, but researching the problem on a search engine, it is found that a graph that passes through these following points is given by:
(1,10), (2,8), (3,6), (4,5), (5,2), (6,1).
How to find the numeric value of a function given it's graph?The numeric value of a function is the value of y for the given value of x, hence, we have to look at the value of x on the horizontal axis, and verify the equivalent value of y on the vertical axis.
From the given points in the graph, that we listed in the missing information subsection, we have that the function passes through point(4,5), hence:
The horizontal axis is of x = 4.The vertical axis is of y = 5.Hence:
The numeric value of the function when x = 4 is of: y = 5.
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1. Write a function that describes the area of the water puddle on the floor as a function of its
radius. Use function notation.
The area of the floor water puddle as a function of radius is 6860. The function notation is mgt∆x = (20 0.5t)g4∆t.
What is meant by function notation?Function notation is a method for writing functions that are simple to read and understand. When we use function notation, the independent variable is typically x, and the dependent variable is F. (x).
Therefore,
The bucket moves upward at a rate of 40/10 = 4 meters per minute. If time is measured in minutes, the bucket is x = 4t meters above the ground at time t. Water is dripping out at a rate of 5/10 kg/minute. Because there is initially 20 kg of water in the bucket, there is m = 20 0.5t kg remaining at time t.
Consider the interval of time between t and t + t. During this time, the bucket moves ∆x = 4∆t meters. So the work performed during this interval is
mgt∆x = (20 0.5t)g4∆t,
The bucket is x = 4t meters
and the integral for the total work performed is
[tex]4 g \int_0^{10}(20-0.5 \cdot t) d t \\[/tex]
= [tex]4 g\left(20 t-\left.0.25 t^2\right|_0 ^{10}=700 g=700 \cdot(9.8)=6860\right. \text { joules. }[/tex]
Hence, The area of the floor water puddle as a function of radius is 6860.
The complete question is:
A bucket of water of mass 20 kg is pulled at constant velocity up to a platform 40 meters above the ground. This takes ten minutes during which time 5 kg of water drips out at a steady rate through a hole in the bottom of the bucket. Find the work needed to raise the bucket to the platform
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Solve please need it quick
Answer: The answer for for angle 3 is 112
Step-by-step explanation: Angle 2 is opposite of Angle 3 which means they equal!
Hope this Helps :D
Area Model Multiplication
Timothy saves $176 a month. Timothy saves $29 less each month than Camden. How much will
Camden save in 3 years?
Please answer this my grade depends on it, also I have other problems like these so please feel free to answer them if you would like.
Answer:
-4,-3 and 4,5
Step-by-step explanation:
Use the inverse relationship to complete the expression.
|fi= √√-1₁
√√-1, then ² = |
N
DONE
The square of the imaginary number i is -1.
What are imaginary numbers?If you multiply a real number by the imaginary unit I which has the characteristic i2 = -1, you get an imaginary number. The imaginary number bi is squared as -b2. Zero is, by definition, both real and fictional.
A number that results from multiplying a non-zero real number by the iota I is an imaginary number. I in this case Equals (-1) or i2 = -1. Finding the square root of negative integers is made easier by using these values. -4i, 6i, I etc. are some instances of imaginary numbers.
i is an imaginary number where, [tex]i=\sqrt{-1}[/tex]
And so, [tex]i^{2}=-1[/tex]
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A plant is 7 cm tall on June 1. On September 1, the plant is 46.9 cm tall. What is the scale factor of the growth of the plant if all parts grew proportionally?
The scale factor will be equal to 6.7. The correct option is B.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image.
Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Given that a plant is 7 cm tall on June 1. On September 1, the plant is 46.9 cm tall.
The scale factor will be calculated as:-
Scale factor = 46.9 / 7
Scale factor = 6.7
Therefore, the scale factor will be equal to 6.7. The correct option is B.
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Y over 5 + 6 = 21, what is y?
Answer:
y=231
Step-by-step explanation:
to solve for y simplify both sides of the equation by isolating the variable
Write the decimal as a fraction or a mixed number in simplest form
-0.8
Answer:
-4/5 this is because 5 can't be simplified and 4/5 is like 8 out 10 but simpler and has a negative.
PLEASE HELP ASAP 30 POINTS!
Answer:
-4/3
Step-by-step explanation:
Answer:-4/3
Step-by-step explanation:
Irina ran 1/2 in 3 1/2 minutes. At that rate, how long would it take her to run 2 miles?
Answer:
Step-by-step explanation:
14 mins
this is because if we divide 2 but 1/2 you would get 4
since she can run 1/2 a mile in 3 1/2 mins
we should multiply the 3 1/2 buy 4
this would lead to the answer 14
The circumference of a circle is 16π ft. What is the area, in square feet? Express your answer in terms of \piπ.
Answer: A≈20.37
Step-by-step explanation:
There's brainly
A=C2
4π=162
4·π≈20.37183
Swimming pool A holds 2^15 gallons of water. Swimming pool B hold 2^13 gallons of water. How many times as many gallons does pool A holds than pool B?
Answer:
4
Step-by-step explanation:
[tex]\frac{2^{15}}{2^{13}}=2^{15-13}=2^2=4[/tex]
Which statement is true concerning the vertex and the axis of symmetry of g(x)=5x2−10x?
The true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the true statement?The equation of the function is given as
g(x) = 5x^2 - 10x
Differentiate the above equation
So, we have
g'(x) = 10x - 10
Set to 0
So, we have
10xx - 10 = 0
Divide through by 10
So, we have
x - 1 = 0
Solve
x = 1
The above is the x coordinate of the vertex and the axis of symmetry
Hence, the true statement concerning the vertex and the axis of symmetry of g(x) = 5x^2 − 10x is that both values are equal
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Answer:
g(x) = 5x^2 − 10x is that both values are equal.
Step-by-step explanation:
2023
Find seven ordered pairs to the equation y=x²-2. Then determine its graph.
X
-3
The graph of y = x² -2 is a parabola
To find the seven ordered pairs of the equation y = x²-2, we have to find out the value of y by assuming the different values of x that are 0,1,-1,2,-2,3 and -3which gives us seven different coordinates
Let put x=0, y= -2
Let put x=1, y= -1
Let put x=-1, y= -1
Let put x=2, y= 2
Let put x=-2, y= 2
Let put x=3, y= 7
Let put x=-3, y= -7
If we plot all the coordinates for the value of x and y (0,-2),(1,-1),(-1,1),(2,2),(-2,2)(3,-7),(-3,7) and connect all the dots we will get a upward facing parabola
Hence, The graph of y = x² -2 is a parabola
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ABC Corporation has received an invoice for $4,500 with terms of 3/15, n/50. If ABC pays the invoice on the seventeenth day, what is the effect on the Cash account and will the Cash account be debited or credited?
If ABC pays the invoice on the seventeenth day then the Cash account is debited or credited will be $4500.
What is the trade discount?A quantity or percentage is taken off the list price of a good that is permitted by a producer, a distributor, a reseller, or by one business to someone else in the same industry.
ABC Corporation has been paid a sum of $4500. Given that the payment takes place on the seventeenth day, or after the reduction period of fifteen days, it must be made in full cash on that day. It will thus be $4500 on that day. As a result, $4500 will be deposited into the Cash Account.
The Cash account is debited or credited will be $4500.
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You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?
The most cost-effective choice for buying the item is buying it at a 10 percent discount without sales tax.
A percent discount on a product means that the price of the product is reduced by that percentage.
The full question is that, You want to buy an item that costs $100. Which of these is the most cost-effective choice for buying the item?.
a. using a paid membership card to buy it at a 10 percent discount.
b. buying it online at a 10 percent discount with a $5 shipping charge.
c. buying it at a 10 percent discount without sales tax.
we will calculate the final price in each case to analyze the most cost-effective choice,
In in first case, when using a paid membership card to buy it at a 10 percent discount. we get,
10% of $100 = 10/100×100 = $10
cost = $100 - $10 = $90
On top of this $90 there is the charges of the membership card, therefore the price increases. ( price in first case)
In second case, when buying it online at a 10 percent discount with a $5 shipping charge.
100%-10% = 90%
90% of 100 = $90
Cost: $90 + $5 = $95 ( price in second case)
In third case, when buying it at a 10 percent discount without sales tax.
100% - 10% = 90%
90/100 × 100 = $90. ( price in third case which is minimum as compared to rest of the cases)
Therefore, buying the item at a 10 percent discount without sales tax is the most cost effective method since there is no other cost involved.
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step by step solution for 4(x-3)=0.5x+2
Answer:
x = 4
Step-by-step explanation:
4(x-3) = 0.5x +2
Multiply both sides by 10
40(x-3) + 5x + 20
Simplify (multiply 40 by x-3)
40x - 120 = 5x + 20
Add 120 to both sides
40x = 5x + 140
Subtract 5x from both sides
35x = 140
Divide 35 on both sides
x = 4
Solve for e: -2e - 9 = 12m
Answer:
-2e-9=12m
-2e=12m+9.
e= -(12m+9)/2
A truck rental is $30 plus $.40 /mi. Find out how many miles Ken traveled if his bill was $58.80 .
Answer:
72 miles
Step-by-step explanation:
Let x equal the miles Ken travelled; this is what we need to find. Our equation is
$30 + $.40x = $58.80
Subtract $30 from both sides
$.40x = $28.80
Divide both sides by $.40
72 miles
If 8x+48x+4 is 10 less than 54 , what is the value of 2x2x ?
Answer:
x=5/7 so (2x + 2x) = 2 6/20
Step-by-step explanation:
48x + 8x + 4 = 44
56x + 4 = 44
44 - 4 = 40
40/56 = 5/7
PLEASE ILL BE GIVING BRAINLY TO WHOEVER ANSWEERS FAST!!! Create and solve a story problem that would use this equation: y=5x+3 Be sure to define x, y, the constant, and the variable.
A problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
How to illustrate the information?It should be noted that an equation is used to show the relationship between the variables.
In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
This will be;
y = 5x + 3
where y = total cost
x = number of miles
y = 5x + 3
y = 5(10) + 3
y = 50 + 3
y = 53
The total cost is $53.
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Answer:
problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
How to illustrate the information?
It should be noted that an equation is used to show the relationship between the variables.
In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
This will be;
y = 5x + 3
where y = total cost
x = number of miles
y = 5x + 3
y = 5(10) + 3
y = 50 + 3
y = 53
The total cost is $53.
Step-by-step explanation:
problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
How to illustrate the information?
It should be noted that an equation is used to show the relationship between the variables.
In this case, the problem that would use this equation: y=5x+3 is that the fixed cost of riding a bicycle is $3 and each additional miles cost $5. What will be the total cost for 10 miles.
This will be;
y = 5x + 3
where y = total cost
x = number of miles
y = 5x + 3
y = 5(10) + 3
y = 50 + 3
y = 53
The total cost is $53.
Find the value of y. (7x-7) 63 (3x + 45) (-6)
Answer:
b
Step-by-step explanation:
just did the test like 20 mins ago good look
|16-4t|+ 5 = 0 please help me
Answer:
No solution
Step-by-step explanation:
Absolute values may not be less than 0.
[tex]\left|16-4t\right|+5-5=0-5\\\left|16-4t\right|=-5\\\mathrm{if~x~ > ~0,true}\\\mathrm{if~x~ < ~0,false}\\\mathrm{x < 0}\\\mathrm{No~Solution}[/tex]
x is the result of the equation.
Can someone help with this question?✨
X = 13 is length of Hypotenuse by use of Pythagoras's Theorem.
What is the Pythagorean theorem ?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.In this triangle use Pythagoras theorem
Let Hypotenuse is x .
x² = 12² + 5²
x² = 144 + 25
x = √169
x = 13
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Tuff question I need help
The correct expression is 6^(-11).
What are exponents and powers?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
Given:
6^(-5) / (6^2)^3
Now, using laws of exponents
(a^m)^n = a^(mn)
6^(-5) / (6^6)
again using laws of exponents
a^m/ a^n= a^(m-n)
So, 6^(-5-6)
=6^(-11)
Hence, the value of 6^(-5) / (6^2)^3 is 6^(-11).
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How much will 5% yards cost of fabric be at $10.99 a yard?
If the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55
How to determine the cost of the fabric?The given parameters are
Cost of fabric = $10.99 per yard
This means that the unit rate of a yard of fabric is $10.99
So, the cost of a 5% yard cost of fabric would be
Cost = 5% * Cost of fabric
The above equation becomes
Cost = 5% * 10.99
Evaluate the product
Cost = $0.55
Hence, if the cost of fabric be at $10.99 a yard, then a 5% yards would cost $0.55
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Which list shows the runner's in order fastest to slowest.
Answer:
C
Step-by-step explanation:
First you need to convert the fractions into decimal form.
Joe-12 1/2 becomes 12.5
Ellen-12.09
Steve-12.4
Patty-12.8
Now put these in order from fastest to slowest
12.09,12.4,12.5,12.8
Answer:
12.8
12 1/2
12 2/5
12.09
is least from greatest
Cans of soup are stocked in 1,250 sq. ft. of warehouse space. If each can requires 2 1/2 sq. ft. of space, how many cans of soup can be stored in this space?
Answer:
500 cans
Step-by-step explanation:
Let c be the number of cans.
2.5c = 1,250
c = 500 cans
Family Flowers employs 17 people, of whom 14 earn gross pay of $660.00 each and 3 earn gross pay of $740.00 each on a weekly basis. What is the
employer's share of total Social Security and Medicare taxes for the first quarter of the year? (Social security tax is 6.2% of wages up to $128,400. Medicare
tax is 1.45% of all wages.)
o $660.00
o $740.00
o $890.68
o $11,396.97
Based on the gross pay to the employees of Family Flowers, the employer's share of total Social Security and Medicare taxes for the first quarter is $11,396.97
How to find the social security and medicare tax?First, find the gross pay for all 17 people in the first quarter:
= ( (660 x 14) + (740 x 3)) x 12 weeks in quarter
= (9,240 + 2,220) x 12
= $137,520
The social security tax is paid up to $128,400:
= 6.2% x 128,400
= $7,960.80
The Medicare tax is:
= 1.45% x 137,520
= $1,994.04
The total Social Security and Medicare taxes:
= 7,960.80 + 1,994.04
= $11,396.97
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