Answer: 7,176 inches
Step-by-step explanation:
Areas equation is Length times width so applying that we have 78 times 92 giving you the answer of 7,176
HELP PLEASSEE JS THIS 2 and if u could point thats better
whats the equationn
Step-by-step explanation:
9.
x = 3
yes, that's really it.
it just means that any value is valid for y.
this line is not a function, because the one valid value for x (3) has infinitely many assigned y values.
10.
the usual equation for a line is
y = ax + b
with "a" being the slope, "b" being the y-intercept (the y-value when x = 0).
we see that b = 0, as the line goes through the origin (0, 0).
the slope is the ratio
y coordinate difference / x coordinate difference
when going from one point on the line to another.
we see e.g. the points (0, 0) and (1, -3). I always recommend to look for points with integer coordinates.
when going from one to the other,
x changes by +1 (from 0 to 1).
y changes by -3 (from 0 to -3).
the slope "a" = -3/1 = -3.
the line equation is
y = -3x
Volume of a Cone Level 1
height of 19
diameter of 18.7 ft
Thee volume of the cone has a value of 1, 739. 60 cubic feet
How to determine the volumeThe formula for calculating the volume of a cone is expressed as;
V = πr²h/3
Where;
V is the volume of the coner is the radius of the coneh is the height of the coneπ takes the value 3. 142From the information given, we have the values as;
Diameter = 19
But radius = Diameter/2
Now, radius = 18. 7/2 = 9.35 ft
Substitute the values into the formula
Volume = 3. 142( 9.35)² × 19/3
Find the value of the square
Volume = 3. 142(87. 42) × 6. 3
Multiply the values
Volume = 1, 739. 60 cubic feet
Hence, the value is 1, 739. 60 cubic feet
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Izzy's Frozen Treats sells both frozen yogurt and frozen custard by the ounce. Last week, Marco noticed that a 3-ounce cup of frozen yogurt cost less than a 3-ounce cup of frozen custard. Marco has $5 to spend at Izzy's Frozen Treats today. Which can he buy more of, frozen yogurt or frozen custard?
The item Marco will buy more between frozen yogurt and frozen custard given his budget and cost of each item is frozen yogurt.
Which item can he buy more of?Amount Marco has to spend = $5Cost of a 3-ounce cup of frozen yogurt = less than cCost of 3-ounce cup of frozen custard = cHence, a 3-ounce cup of frozen yogurt cost less than a 3-ounce cup of frozen custard.
Therefore, Marco will buy more frozen yogurt than frozen custard because of the cheap price.
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What is the equation of the line that passes through the point (-3,4) and has a slope of 2/3?
A line with a slope of 2 and a point at (4,3) satisfies the equation y = 2x - 5.
Which equation's formula is it?Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
What do a line's two equations look like?In general, a straight line has the equation y = mx + c, where m denotes the gradient and y = c denotes the point at which the line intersects the y-axis. do s s., s. s s.. s... s.. A straight line with a gradient of m and an intercept of c on the y-axis has the equation y = mx + c.
Here,
given: slope of 2/3
the line that passes through the point (-3,4)
using formula
=> y = mx + c.
=> (y-y') = m(x-x') + c
=> (y-4) = 2/3(x+3) + c
=> y = 2x - 5.
Thus equation comes out to be y = 2x - 5..
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Please help me. I know it’s 4 months but I don’t know what the total amount paid is including interest. If anyone could add the steps that would be awesome!
Answer:
4 months$1,392.63Step-by-step explanation:
You want the number of months and the total amount paid when you pay off a credit card debt of $1367.90 with 9.5% APR at the rate of $400 each month.
AmortizationThe amount of the payment that goes to interest each month is the monthly rate (9.5%/12) multiplied by the remaining balance. The first month's interest is ...
$1367.90 × 0.095/12 = $10.8292 ≈ $10.83 . . . . rounded to cents
Then the balance is reduced by ...
$400 -10.83 = $389.17
so it becomes ...
$1367.90 -389.17 = $978.73 . . . . . balance after first payment
These calculations are repeated for subsequent payments. It is convenient to let a spreadsheet do them. (It can round the interest for you.) The results are shown in the attachment.
Final paymentThe negative balance for month 4 reflects the overpayment that a payment of $400 would be. The actual month 4 payment is the previous balance ($191.12) together with the interest due on that ($1.51), so is $192.63.
Total repaidThe total repaid is the sum of interest charges ($24.73) and the initial balance ($1367.90). That is, you paid off the initial balance and the interest due.
You repaid a total of $1392.63 in 4 months.
__
Additional comment
The steps for computing the total repaid are ...
compute the interest due on the remaining balanceadd that to the principal due, and subtract the payment amount to get the new principal due.repeat until the new balance is negative, signifying the amount of overpayment.Add the interest amounts to the initial balance to find the total repaid.Note, there are formulas for the payoff time and the total repaid. However, they do not take into account rounding of intermediate values, and they presume the last payment is made partway through the month. In short, it only gives an approximation of the amount repaid.
By listing actual amounts, rounded to cents, the actual amount repaid can be figured with no error. A spreadsheet is very helpful for that.
the figure(figure 1) shows the velocity graph of a 2.2 kg object as it moves along the x-axis.
(a) The net force acting on this object at t = 1 s is 88 N.
(b) The net force acting on this object at t = 4 s is 0 N.
(c) The net force acting on this object at t = 7 s is -13.2 N.
In the given question, the velocity graph of a 2.2 kg object as it moves along the x-axis.
The given mass = 2.2
a) We have to find the net force acting on this object at t = 1 s.
At t=1 s
Slope of a graph = acceleration
Acceleration = slope
Acceleration = 12/3
Acceleration = 4 m/s^2
Net force, F = m*a
F = 22*4
F = 88 N
So the net force is 88 N.
b) We have to find the net force acting on this object at t = 4 s.
At t = 4 s
Acceleration, a=slope of graph
a = ( 12 - 12) /(3 - 0)
a = 0 m/s^2
The net force , F = m * a
F = 2.2 * 0 = 0 N
c) We have to find the net force acting on this object at t = 7 s.
At t = 7 s
Acceleration, a = ( 0 - 12 ) / (8 - 6)
a = - 6 m/s^2
The net force, F = m * a
F = 2.2 * (-6)
F = -13.2 N
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The complete question is:
The figure(figure 1) shows the velocity graph of a 2.2 kg object as it moves along the x-axis.
(a) What is the net force acting on this object at t = 1 s.
(b) What is the net force acting on this object at t = 4 s.
(c) What is the net force acting on this object at t = 7 s.
37 buyers came to Electronic World store. 23 people bought new earphones, 17 bought a new phone, 13 people did not buy either. How many people bought both earphones and a phone?
Answer: Please adjust the 37. The answer would be 40.
Step-by-step explanation:
23 + 17 obviously equals 40.
A company i throwing an end of the year party for their employee with a budget of $30 per peron. If their total pending wa $1000 for the pace, $850 for food, and $250 for decoration, how many employee attended the party?
By solving for the number of employees, there were 70 employees at the party.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. An equation typically consists of two sides, with an equals sign (=) in between.
what is linear equation?A linear equation is an equation in which the highest power of the variable is 1. In other words, a linear equation is an equation that can be written in the form:
ax + b = 0
where a and b are constants and x is the variable.
To find out how many employees attended the party, you can set up the following equation:
Number of employees * $30 per employee = $1000 for space + $850 for food + $250 for decorations
You can then solve for the number of employees by dividing both sides of the equation by $30 per employee:
Number of employees = ($1000 for space + $850 for food + $250 for decorations) / $30 per employee
= $2100 / $30
= 70 employees
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Select an expression equivalent to 16¼ × 16⅔
[tex]Answer:\ \sqrt[12]{16^{11}}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\16^\frac{1}{4} *16^\frac{2}{3}=\\\\16^{\frac{1}{4} +\frac{2}{3} }=\\\\16^\frac{1*3+2*4}{4*3} =\\\\16^\frac{3+8}{12}= \\\\16^\frac{11}{12}= \\\\\sqrt[12]{16^{11}}[/tex]
the car is traveling along the road with a speed of v=(2s) m/s, where s is in meters.
The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.
In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.
We have to determine the tangential and normal components of the acceleration when s = 10 m.
Speed (v) = 2s
Motion is circular so, Radius of circle = 50m
Tangential acceleration = dv/dt
Tangential acceleration = d(2s) / dt
Tangential acceleration = 2(ds)/dt
Tangential acceleration = 2v
Tangential acceleration = 2(2s)
Tangential Acceleration = 4s
As given s = 10 m
Tangential acceleration = 4 x 10
Tangential acceleration = 40 m/s^2
Normal acceleration = v^2/ r
Normal acceleration = 4s^2/r
Normal acceleration = {4 x 10^2}/50
Normal acceleration = {4 x 100}/50
Normal acceleration = 400/50
Normal acceleration = 8 m/s^2
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The complete question is:
A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle
A 12-foot ribbon is cut into pieces three-quarters of a foot long. How many pieces can be made?
The 12-foot ribbon is cut into pieces three-quarters of a foot long, then 16 pieces can be made.
What is a three-quarter length?
The fraction 3/4 or three-quarters means 3 parts out of 4. The upper number, 3, is called the numerator and the lower number, 4, is the denominator.
We have a 12-foot ribbon and you are making a cut into pieces three-quarters (3/4-foot) of a foot long sections, and you want to know many times you can do that here.
So, the number of pieces = (Length of the ribbon ÷ Length of each piece)
You just need to take 12 and divide it by 3/4, to see how many sections you can have.
12 ÷ 3/4
Change division to multiplication by taking the reciprocal (the flipping) of the second number:
= (12 * 4) / 3
= 48/3
= 16
To multiply fractions, multiply straight across on top and straight across on bottom:
Hence, the 12-foot ribbon is cut into pieces three-quarters of a foot long, then 16 pieces can be made.
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Problem 1.3 A city has a 5% sales tax. A book costs 32. 55 after tax. How much did it cost before tax?
The cost of the book before the sales tax is $31
How to determine how much it costs before tax?From the question, we have the following parameters that can be used in our computation:
Sales tax = 5%
Cost of book = $32.55 after tax
The cost of the book before tax is calculated using the following equation
Cost of book after tax = Cost of book before tax * (1 + Sales tax)
Substitute the known values in the above equation, so, we have the following representation
32.55 = Cost of book before tax * (1 + 5%)
Evaluate the sum
So, we have the following representation
32.55 = Cost of book before tax * (1.05)
Divide both sides by 1.05
Cost of book before tax = 31
Hence, the cost is $31
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Given the equation 4y = 164, solve for y.
41
4
168
160
To solve this equation, you can use the property of equality, which states that whatever you do to one side of the equation, you must also do to the other side.
To isolate the variable "y," you can divide both sides of the equation by 4:
4y / 4 = 164 / 4
This simplifies to:
y = 41
Therefore, y equals 41.
Answer:
[tex] \sf \: a) \: 41[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of y.
The equation is,
→ 4y = 164
Then the value of y will be,
→ 4y = 164
→ y = 164/4
→ [ y = 41 ]
Hence, the value of y is 41.
Jacob pent 1/5 of an hour cleaning the table and 3/10 of an hour mopping. After he finihed he pent 2/3 of an hour reading. How much more time did he pend reading than doing houework
Answer:
10 minutes
Step-by-step explanation:
You want to know how much longer 2/3 hour is than the sum of 1/5 hour and 3/10 hour.
SumEach fraction of an hour can be expressed in minutes:
2/3 h = 40 min1/5 h = 12 min3/10 h = 18 minThe time difference of interest is ...
(2/3 - 1/5 -3/10) h = (40 -12 -18) min = 10 min
Jacob spent 10 minutes more reading than doing housework.
22(3+16) =
OA) 408
OB) 418
O C) 508
O D) 518
7)a and b are walking on straight streets that meet at right angles. a approaches the intersection at 2m/sec; b moves away from the intersection at 1m/sec. at what rate is the angle (the one near b) changing when a is 10m from intersection and b is 20m from the intersection?
The angle is changing at the rate [tex]\frac{18}{\pi }[/tex] when a is 10m from the intersection and b is 20m from the intersection.
In this problem, all three variables (x, y & z) are changing with respect to time.
x = 20 and y = 10
[tex]\frac{dx}{dt} = -1[/tex]
[tex]\frac{dy}{dt} = 2[/tex]
[tex]tan[/tex](θ)=[tex]\frac{y}{x}[/tex]
take derivative :
[tex]tan[/tex] (θ) = [tex]\frac{y}{x}[/tex]
[tex]sec^{2}[/tex](θ) [tex]\frac{d\alpha }{dt}[/tex] = [tex]\frac{x\frac{dy}{dt} - y\frac{dy}{dt} }{x^{2} }[/tex]
Substitute the values :
[tex]sec^{2} \alpha (\frac{d\alpha }{dt} ) = \frac{20 . 2 - 10. (-1)}{20^{2} }[/tex]
solve the equation :
[tex]\frac{5}{4} (\frac{d\alpha }{dt} ) = \frac{20 . 2 - 10. (-1)}{20^{2} }[/tex]
[tex]\frac{5}{4} (\frac{d\alpha }{dt} ) = \frac{50}{400 }[/tex]
[tex](\frac{d\alpha }{dt} ) = \frac{50}{400 } * \frac{4}{5}[/tex]
[tex](\frac{d\alpha }{dt} ) = \frac{1}{10 }[/tex] radian/sec
[tex](\frac{d\alpha }{dt} ) = \frac{18}{\pi } degrees/sec[/tex]
This means that the angle is increasing as a gets closer to the intersection and b gets moves away from the intersection.
So, The angle is changing at the rate [tex]\frac{18}{\pi }[/tex] when a is 10m from the intersection and b is 20m from the intersection.
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HELP ASAP WILL GIVE BRAINLIEST
Which type of transformation is shown?
• A. A rotation
• B. A dilation
O C. A reflection
• D. A translation
Answer:
Dilation
Step-by-step explanation:
The a'b'c' figure is larger than the original a b c
a 50ft ladder is placed against a large building. the base of the ladder is resting on an oil spill, and it slips at the rate of 3 ft. per minute. find the rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building.
The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min.
The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min. This rate takes into account the fact that the ladder is slipping at a rate of 3 ft./min. As the base of the ladder is slipping away from the building, the top of the ladder is moving down, hence the negative rate of change. This rate of change will remain the same until the base of the ladder has slipped the full 50 ft. from the base of the building. At this point, the rate of the change of the height of the top of the ladder will be 0, since the ladder will no longer be slipping.
The rate of change can be calculated as follows:
Rate of change = Change in height / Change in time
Change in height = Initial height - Final height
Initial height = 50 ft.
Final height = 50 ft. - 30 ft. = 20 ft.
Change in time = 30 ft. / 3 ft./min. = 10 min.
Rate of change = (50 ft. - 20 ft.) / 10 min. = -3 ft./min.
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Simplify each expression.
1. 5v+v+6+2
2. 3x + 2x + 4y + 2y
Answer:
1. 6v+8
2.5x+6y
18mi
h
A bicyclist is riding at a speed of- when she
starts down a long hill. The distance d she travels
in feet can be modeled by d(t) = 4t² + 18t, where
t is the time in seconds. How long will it take her
to reach the bottom of a 252 foot - long hill?
The time is 8 seconds to reach the bottom of a 252-foot-long hill.
What is a quadratic equation?
Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have,
riding at a speed of 18mi/h when she starts down a long hill,
The distance she travels in feet can be modeled by d(t) = 4t² + 18t,
252 foot - long hill
I attempted the problem and I got 12.5 seconds.. but im not sure if im right
Use the quadratic formula to find t.
d(t) = 4t² + 18t,
d(t)=400
4t² + 18t =400
4t² + 18t -400=0
2t²+9t-200=0
x= 8; -25/2
Hence, the time is 8 seconds to reach the bottom of a 252-foot-long hill.
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(-4/9) * 11/12
plss answer fastttttttttttttttttttttttttttttttttt!!!!!
plsssssssssss
Step-by-step explanation:
a/b × c/d = (a×b)/(c×d)
so,
-4/9 × 11/12 = (-4×11) / (9×12) = -44/108 = -11/27
four mutually exclusive events a;b;c;d each have a probability of 0:25. what is the probability that two or more of them will occur?
The probability that two or more of the events will occur is 0.683594.
The probability that two or more of the events will occur is equal to 1 minus the probability that none of the events will occur. Since the probability of each event occurring is 0.25, the probability that none of the events will occur is (1 - 0.25) * (1 - 0.25) * (1 - 0.25) * (1 - 0.25) = 0.316406. Therefore, the probability that two or more of the events will occur is 1 - 0.316406 = 0.683594.
Alternatively, you can find the probability that two or more of the events will occur by adding up the probabilities of each of the ways that two or more of the events can occur.
There are four ways that two events can occur (for example, event A and event B), six ways that three events can occur (for example, event A, event B, and event C), and four ways that all four events can occur.
Thus, the probability that two or more of the events will occur is (4 * 0.25 * 0.25) + (6 * 0.25 * 0.25 * 0.25) + (4 * 0.25 * 0.25 * 0.25 * 0.25) = 0.683594, which is the same result as before.
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the amount of time taken by each of 10 students in a class to complete an exam is an example of what type of data?
the amount of time taken by each of 10 students in a class to complete an exam is an example of quantitative data.
Quantitative data is numerical data which can be used to measure and quantify a certain phenomenon. In this example, the amount of time taken by each of the 10 students in a class to complete an exam is a numerical value, and it can be used to measure and quantify the performance of the students in the exam. Thus, this is an example of quantitative data.
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What equation represents is one sixth of the number n
Lol this is a little confusing because n isn't a number
If you answer correctly I will give brainless
The equation that represents one sixth of the number n is given as follows:
n/6.
How to define an equation?The equation is a fraction of an amount. A fraction has the following format:
x/y.
In which:
The top term x is the numerator.The bottom term y is the denominator.One sixth is a fraction in which the numerator is one and the denominator is six, as follows:
1/6.
To obtain one six of a number n, the above fraction is multiplied by n, as follows:
n x 1/6.
When two fractions are multiplied, the numerators multiply themselves, as do the denominators, hence the product is given as follows:
n x 1/6 = n/6.
Hence the equation that represents one sixth of the number n is given as follows:
n/6.
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The equation that represents twenty-five is one-sixth of the number n is;
25 equals n over 6
How to solve Algebra Word Problems?We want to find the equation that represents twenty-five is one-sixth of the number n.
Now, to say that twenty-five is one-sixth of the number n simply means that twenty five is equal to one-sixth of the number n.
Expressing this algebraic statement as an algebraic expression gives us; 25 = ¹/₆n
So we can see that this represents the given algebraic statement and as such looking at the options, we can conclude that the correct one is Option A.
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Complete question is;
Which equation represents twenty-five is one-sixth of the number n?
25 equals n over 6
25 = 6n
6 = 25n
one sixth equals n over 25
Hanna needs to put a fence around her yard to keep her dog from wandering off. If her yard
measures 40 feet by 25 feet, how many feet of fencing does she need to buy to go around the
whole yard?
Answer:
130 feet
Step-by-step explanation:
Your have to find the perimeter. Perimeter of a shape is the distance around the shape
can someone help me with this
The values of v and w are 12 and 20 respectively which makes ΔPQR ≅ ΔIJK (Congruent right triangles).
When two triangles are said to be congruent?Two triangles are said to be congruent if their shape and size are the same. If two right triangles are said to be congruent, then they must have equal measures for their corresponding sides and angles.
Calculation:The given two right triangles are congruent. I.e., ΔPQR ≅ ΔIJK
So, their corresponding sides QR = IJ and PR = IK, and the corresponding angle ∠Q = ∠J.
But we have QR = w - 1; IJ = 3w - 41; PR = 6v-12; IK = 5v
So, on equating them, we get
QR = IJ ⇒ w - 1 = 3w - 41
⇒ 3w - w = 41 - 1
⇒ 2w = 40
∴ w = 20
And
PR = IK ⇒ 6v-12 = 5v
⇒ 6v - 5v = 12
∴ v = 12
Thus, the value of v = 12 and w = 20.
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18. If the graph of y = ax² + 5x + c has x- intercepts at 1 and 3, what is the value of a + c?
The value of a + c in the equation is -5
How to determine the value of a + c? From the question, we have the following parameters that can be used in our computation:
y = ax² + 5x + c
x- intercepts at 1 and 3
This means that
When x = 1 and 3, the value of y is 0
So, we have
When x = 1:
a(1)² + 5(1) + c = 0
a + 5 + c = 0
a + c = -5
When x = 3:
a(3)² + 5(3) + c = 0
9a + 15 + c = 0
9a + c = -15
So, we have
a + c = -5
9a + c = -15
Hence, the value of a + c is -5
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thank you sm to whoever replies:))
Answer:
1. 80
2. runway 18
Step-by-step explanation:
The shoe sizes of a group of middle school girls are shown. 5.5 6 7 8.5 6.5 6.5 8 7.5 8 5 If a shoe size of 4 is added to the data, how does the median change?
Answer: The median of the shoe sizes is 6.5. If a shoe size of 4 is added to the data, the median will not change because it is based on the middle value in the data set and the addition of a value of 4 will not affect the middle value.
Step-by-step explanation:
Chritie participated in a 20 − mile marathon. After running 3 7 t h of the ditance, he topped for a while and ran for 1 7 mile. She then take another break and run for 1 7 t h of the ditance. How many mile doe he run in total?
Answer:
27.8miles
first we add 37 and 17=54
then multiple it with 20 and divide by 100 so we can change it to percent
so it will be 10.8 miles and then we add it with 17 miles =27.8 miles