The result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.
What is an expression?
An expression can be defined as the combination of variables and constants with two or more operations applied to it. The operation can be addition, subtraction, multiplication and division.
Simplifying the expression
The given expression is 18 x 4² + (9 – 3)²
Using the BODMAS rule, we get,
= 18 x 4² + (6)²
= 18 × 16 + 36
= 288 + 36
= 324
Lila estimated it right.
The mistake that Rob might have made would be that he must have not solved (9 – 3)² the right way and gained the wrong answer.
Hence, the result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.
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For the piecewise function, find the values h(-8), h(1), h(3), and h(8).
The output values of h(-8), h(1), h(3), and h(8) in the given piecewise function are 16, 3, 11 and 16 respectively.
What are the output values of h(-8), h(1), h(3) and h(8) in the given piecewise function?Given the piecewise function in the question;
-4x - 16, for x < -7
h(x) = { 3, for -7 ≤ x < 3x + 8, for x ≥ 3
h(-8) = ?h(1) = ? h(3) = ?h(8) = ?Determine the output value of h(-8), -8 falls in the domain of x < 7,
Hence;
h(x) = -4x - 16
h(-8) = -4(-8) - 16
h(-8) = 32 - 16
h(-8) = 16
Determine the output value of h(1), 1 falls in the domain of -7 ≤ x < 3,
Hence;
h(x) = 3
h(1) = 3
Determine the output value of h(3), 3 falls in the domain of x ≥ 3,
Hence;
h(x) = x + 8
h(3) = 3 + 8
h(3) = 11
Determine the output value of h(8), 8 falls in the domain of x ≥ 3,
Hence;
h(x) = x + 8
h(8) = 8 + 8
h(8) = 16
Therefore the output values of h(-8), h(1), h(3), and h(8) in the given piecewise function are 16, 3, 11 and 16 respectively.
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Ms. Red lost money on an investment at a rate of $7 per day. Describe the change in her investment after one week.
The computation shows that the amount lost in a week is $49.
How to calculate the change?From the information, Red lost money on an investment at a rate of $7 per day.
It should be noted that there are 7 days in a week. Therefore, the amount lost will be:
= $7 × 7
= $49
The amount lost is $49.
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MOWING Cordell is mowing his front lawn. His mailbox is on the edge of the lawn. Cordell starts mowing near the mailbox and moves away from the mailbox, towards his house. He continues to move back and forth between the edge of the lawn and the house. Select a reasonable graph that shows the distance Cordell is from the mailbox as he mows. Let the horizontal axis show the time and the vertical axis show the distance from the mailbox.
The graph of the distance that Cordell moves between the home and the mailbox and time period will be a repeating graph.
Let us assume that the distance between the lawn and the mailbox of Cordell is L.
He starts moving from his home towards the mailbox. After reaching the mailbox, he returns back to the home. Let say the time when he first returns back to his home is T₁.
The graph will show that the value of distance will first increase till L and after that he will come back to his home and the distance will decrease and become zero and the time period will be T₁. This show that he had return back to his home.
Similarly, the time well he again starts from his home and reaches till the mailbox and then again reaches to his home again is T₂. The graph is again plotted in the same manner as it was done in the first case.
It is because the distance L between mailbox and his home is same.
So, we can conclude that the graph will be a repeating graph. The shape of graph will be Saw-tooth like shape.
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74 oz at $4.64
42 oz at $2.91
Answer: 4.64+2.92 = 7.55oz
Step-by-step explanation:
100 POINTS + BRAINLYIEST
given f(x)=3(4-x) what's the value of f(-4)
Answer:x= −12/15
Step-by-step explanation:
Answer:
f(-4) = 24
Step-by-step explanation:
In order to find f(-4), set the value of x as -4 in the equation.
Given equation:
f(x) = 3(4 - x)
Substitute x = -4:
f(-4) = 3(4 - (-4))
f(-4) = 3(4 + 4)
f(-4) = 3(8)
f(-4) = 24
Simplify the expression (X1/6)3
X2
X3
X1/3
X1/2
PLS HELP PLS i WILL GIVE YOU 20 POINT PLEASE HELP.
1. The inequality that represents the graph is x ≥ 8
2. The inequality that represents the graph is x < 3
3. The inequality that represents the graph is x ≤ 3
4. x ≤ 8
5. x < 8
6. x ≥ 3
Writing InequalitiesFrom the question, we are to determine the inequalities that represent the given graphs
1. The inequality that represents the graph is x ≥ 8
2. The inequality that represents the graph is x < 3
3. The inequality that represents the graph is x ≤ 3
4. "Shaun refuse to read for more than 8 minutes"
Let x represent the number of minute she reads
Thus,
x ≤ 8
5. "Jade says she has less than eight cats"
Let x represent the number of cats Jade has
∴ x < 8
6. "Davon runs at least 3 miles everyday after school"
Let the number of miles Devon runs be x
Then, we can write that
x ≥ 3
Hence,
1. The inequality that represents the graph is x ≥ 8
2. The inequality that represents the graph is x < 3
3. The inequality that represents the graph is x ≤ 3
4. x ≤ 8
5. x < 8
6. x ≥ 3
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9 Continuously compounded interest: word problems 82J
Learn with an example
Gigi opened a savings account and deposited $600.00 as principal. The account earns 3%
interest, compounded continuously. What is the balance after 2 years?
Use the formula A = Pe", where A is the balance (final amount), P is the principal (starting
amount), e is the base of natural logarithms (~2.718 28), r is the interest rate expressed as
a decimal, and t is the time in years.
Round your answer to the nearest cent.
$
Submit
The final amount in Gigi's amount after two years is $637.102.
Compound interest is also known as interest on principal and interest is the practice of adding interest to the principal amount of a loan or deposit.
Gigi opened a savings account.
The principal amount she deposited, P = $600
The interest rate, r = 3% = ( 3 / 100 ) = 0.03
The formula for the compound interest is given as:
[tex]A=Pe^{rt}[/tex]
Where A is the final amount, P is the principal amount, r is the interest rate, and t is the time in years.
Then the amount in the account after t = 2 years will be:
[tex]A=Pe^{rt}\\A = 600 \times e^{(0.03 \times 2)}[/tex]
A = 600 × e⁰·⁰⁶
A = 600 × 1.06183654655
A = 637.101927927
A = $637.102
Therefore, the final amount in the account is $637.102.
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HELP ME OUT PLEASE I NEED BETTER GRADES
Answer:
person above me is right pls give them brainliest!!!
Step-by-step explanation:
A bathtub is partially filled with g gallons of water.
Alice adds 10 more gallons of water to the tub,
making it 50% full. If Marco then adds 40 more
gallons of water, the tub will be 100% full. What is
the value of g?
A. 20
B. 24
C. 30
D. 40
Answer: C.) 30
Step-by-step explanation: 40 gallons = 50% full Alice added 10 more gallons to make it 50% full there was already 30 gallons in.
In order for a computer to work properly it needs a memory disk of at least
4 GB. Memory disks can fluctuate 0.2 GB. What is the smallest amount of
storage a memory disk has?
4.2 GB
2.3 GB
3.8 GB
4 GB
The smallest amount of storage a memory disk is 3.8 GB. The correct option is C.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given that for a computer to work properly it needs a memory disk of at least 4 GB. Memory disks can fluctuate 0.2 GB. Therefore, the smallest amount of storage a memory disk has is,
Smallest amount of storage a memory disk have = 4 GB - 0.2 GB
= 3.8 GB
Hence, the smallest amount of storage a memory disk is 3.8 GB.
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Tripling the radius of a cylinder find the dimensions, surface area, before change and after change. Help ASAP please !
The dimensions before tripling the radius of the cylinder are:
radius = 2 and height = 7 yd
and surface area = 113.1
The dimensions after tripling the radius of the cylinder are:
radius = 6 and height = 7 yd
surface area = 490.08
Given, we know that the dimensions are:
radius = 2 and height = 7 yd
therefore, surface area = 2πrh + 2πr²
= 2π2×7 + 2π(2)²
= 2×22/7×14 + 2π×4
= 88 + 25.12
= 113.1
After tripling the radius, we get:
radius = 6 and height = 7 yd
therefore, surface area = 2πrh + 2πr²
= 2π6×7 + 2π(6)²
= 2×22/7×42 + 2π×36
= 264 + 226.08
= 490.08
Hence we get the before and after dimensions of the cylinder.
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The table below summarizes results from a study of people who refused to answer survey questions. A pharmaceutical
company is interested in opinions of the elderly. What is the probability that the selected subject is someone 60 and over
who responded?
Responded
Refused
18-21
76
15
22-29
258
24
30-39
248
37
Age
40-49
139
30
50-59
141
39
60 and over
205
61
Answer:
okay. We need to find the probability that I've met a person is of age 45 to 64 given that they do not smoke. Okay, well, says we're interested in the second Age Group. Would Look, we need to look at this. The second row here of the table. Okay, Um, now, since they don't so so we can't quite look at just these products directly says we're given that they don't smoke instead of the fact that they do smoke. So instead of looking at instead of just using this product that I've circled in red, I need to I need to take this green circled number and subtracted. So? So when I mean, it's gree this green circle numbers subtracted. Red circle number. Okay. And what would that give us? That's work. That out on the calculator. So points reform minus 0.7 for eight. That's 0.2652 My brave Onda, who, instead of looking at the total of these products, you need to subtract one from it or two. Oh, Uh, 31 Asher B 0.7 se 7969 Okay, so then this Just 0.2652 over it. 0.79 69 Okay, so let's do that. We have. Let's work that out on a calculator. We get around 0.33 three. Thank you for watching.
2) Jerry and Gwen were running a relay race. The race was 12.06 kilometers total. If Jerry ran
6.76 kilometers how far did Gwen run?
3.
4.
Answer:
5.3 kilometers
Step-by-step explanation:
12.06 - 6.76 = 5.3
Which of the following sets is NOT closed under addition.
A) Natural Numbers
B) Whole numbers
C) Integers
D) Odd numbers
The odd numbers do not follow the closure property of addition.
What is a closure property of addition?
The closure property of addition states that when any two numbers from the set of reals are added, the result will always be a real number. For example 2 + 3 = 5
Explanation
When we add any two natural numbers, the result is always a natural number, i.e. 2 + 1 = 3. Thus, it follows the closure property of addition.
When we add any two whole numbers, the result is always a whole number, i.e. 3 + 0 = 3. Thus, it follows the closure property of addition.
When we add any two integers, the result is always an integer, i.e. 2 + (-5) = -3. Thus, it follows the closure property of addition.
When we add any two odd numbers, the result is not an odd number, i.e. 3 + 1 = 4. Thus, it does not follow the closure property of addition.
Hence, the odd numbers do not follow the closure property of addition.
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50 points! with brainlyiest to first person!
given f(x)=3(4-x) what's the value of f(-4)
Answer:
f(-4) = 24
Step-by-step explanation:
f(x) = 3(4-x)
( substitute )
f(-4) = 3 x ( 4- (-4))
( calculate )
f(-4)= 24
t the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $2.10 and the cost of a large greeting card is $4.15. How much would it cost to get 2 small greeting cards and 3 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
The Total cost of 2 small and 3 large greeting cards is $16.65.
The Total cost of x small and y large greeting cards is $2.10x+$4.15y.
Given
Cost of the small greeting card =$2.10.
Cost of the large greeting card =$4.15.
We have to find the Total cost of 2 small and 3 large greeting cards and the total cost of x small and y large greeting cards.
First, we will find the Total cost of 2 small and 3 large greeting cards
Cost of 3 small greeting cards=2[tex]\times\\[/tex]2.10 =$4.2
Cost of 4 large greeting cards=3[tex]\times[/tex]4.15=$12.45
Total cost=$4.2+$12.45=$16.65
Therefore, the Total cost of 2 small and 3 large greeting cards is $16.65.
Now, the total cost of x small and y large greeting cards
Cost of x small greeting cards=x[tex]\times\\[/tex]2.10 =$2.10x
Cost of y large greeting cards=y[tex]\times[/tex]4.15=$4.15y
Total cost=$2.10x+$4.15y
Therefore, the Total cost of x small and y large greeting cards is $2.10x+$4.15y.
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Total cost, 2 small greeting cards and 3 large greeting cards: 16.65
Total cost, x small greeting cards and y large greeting cards: 2.10x+4.15y
the perimeter of a square to be 37 meters. Find the length of one side.
Answer:
9.25 Meters
Step-by-step explanation:
a square has 4 sides so:
37 divided by 4= 9.25 or 9 1/4
A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 95% pure antifreeze. In order to obtain 140 gallons of a mixture that contains 65% pure antifreeze. How many gallons of each brand of antifreeze must be used?
If a chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 95% pure antifreeze. The number of gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.
Number of gallons for each brand of antifreezeLet call x = The amount of 20% pure antifreeze needed
Let 140 - x = amount of 95% antifreeze needed
Hence,
x gallons of 20% antifreeze + (140-x) gallons of 95% = 140 gallons of 65%
Thus,
.20x + .95(140-x) = .65(140)
.20x + 133 - .95x = 91
Collect like terms
42= .75x
Divide both side by .75x
x=42/.75
x=56
Hence,
56 gallons of 20% antifreeze
84 gallons of 95% antifreeze
Therefore the number of gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.
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Ahmad and Dante wash cars in the neighborhood and charge $5 per car. Last year, they worked very hard and were able to wash 450 cars in the year. They have done a little market research and found that for every $0.20 that the price is reduced, they can get 50 more customers.
1. b. If they decreased the price by $0.20 how much would they earn?
The amount earned if they decreased the price by $0.20 will be $2400.
How to calculate the value?From the information, they found that for every $0.20 that the price is reduced, they can get 50 more customers.
The amount earned if they decreased the price by $0.20 will be:
= ($5 - $0.20) × (450 + 50)
= $4.80 × 500
= $2400
Therefore, the amount is $2400.
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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. Indicate the equation of the given line in standard form. The line that is the perpendicular bisector of the segment whose endpoints are R(-1, 6) and S(5, 5)
The line that is the perpendicular bisector of the segment is 12x - 2y= 13
How to determine the line that is the perpendicular bisector of the segment?The endpoints of the segment are
R(-1, 6) and S(5, 5)
Calculate the midpoint of the above segment using
RS = 1/2 * (x1 + x2, y1 + y2)
So, we have
RS = 1/2 * (-1 + 5, 6 + 5)
This gives
RS = (2, 5.5)
Calculate the slope of the segment using
Slope RS = (y1 - y2)/(x1 - x2)
So, we have
Slope RS = (5 - 6)/(5 + 1)
This gives
Slope RS = -1/6
The slopes of perpendicular lines are opposite reciprocal
This means that the slope of the perpendicular bisector is
m = -1/Slope RS
So, we have
m = -1(-1/6)
Evaluate
m = 6
The line that is the perpendicular bisector of the segment is calculated as
y = m(x - x1) + y1
Where
(x1, y1) = Midpoint RS = (2, 5.5)
So, we have
y = 6(x - 2) + 5.5
Evaluate
y = 6x - 12 + 5.5
y = 6x - 6.5
Multiply through by 2
2y = 12x - 13
Rewrite as
12x - 2y= 13
Hence, the line that is the perpendicular bisector of the segment is 12x - 2y= 13
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GUYS HELP Albert buys a tv that has a regular price of $2,399. The tv is on sales for "21% off". If
the sales tax rate is 8.25%, what is his final cost of the tv?
The final cost of the TV is $1966.9
How to determine the final cost of the TV?The given parameters are:
Regular price = $2300
Discount = 21%
Sales tax = 8.25%
The final cost of the TV is calculated as
Final cost = Regular price * (1 - Discount) * (1 + Sales tax)
So, we have:
Final cost = $2300 * (1 - 21%) * (1 + 8.25%)
Evaluate
Final cost = $1966.9
Hence, the final cost of the TV is $1966.9
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A side of the triangle below has been extended to form an exterior angle of 125. Find the value of x
Answer:
55°
Step-by-step explanation:
The angle that is represented with x and the exterior angle with a measure 125° are supplementary angles.
As known the sum of supplementary angles is 180 so the value of x:
180 - 125 = 55 and
x = 55 is the answer to the question.
At a price of $180 there is demand for 2520 items and a supply of 1440 items. At a price of $330 there is demand for 1470 items and a supply of 2640 items. Assuming supply and demand are linear, find the equilibrium price and quantity.
Assuming supply and demand are linear, the equilibrium price is equal to $252 and the equilibrium quantity is equal to 2,016 items.
What is a linear function?A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.
First of all, we would determine a linear function for both supply and demand by finding the slope using this formula as follows:
[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Note: price (p) in dollars would be the output and quantity (q) would be the input.
For supply, the points include the following:
Points (p, q) = (1,440, 180).Points (p, q) = (2640, 330).Slope, m = (330 - 180)/(2640 - 1440)
Slope, m = 150/1200
Slope, m = 1/8.
Next, we would find the y-intercept at (1,440, 180):
p = qm + c
180 = 1/8(1440) + c
180 = 180 + c
c = 0.
Therefore, the supply equation is p = q/8.
For demand, the points include the following:
Points (p, q) = (2,520, 180).Points (p, q) = (1,470, 330).Slope, m = (330 - 180)/(1,470 - 2,520)
Slope, m = 150/-1,050
Slope, m = -1/7.
Next, we would find the y-intercept at (2,520, 180):
p = qm + c
180 = -1/7(2,520) + c
180 = -360 + c
c = 180 + 360.
y-intercept, c = 540.
Therefore, the demand equation is p = -q/7 + 540.
In order to find the equilibrium price and quantity, we would set the supply equal to the demand:
q/8 = -q/7 + 540
Multiplying all through by 56, we have:
7q = -8q + 30,240
15q = 30,240
q = 30,240/15
Equilibrium quantity, q = 2,016 items.
For the equilibrium price, we have:
p = q/8
p = 2,016/8
Equilibrium price, p = $252.
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A manager recorded the performance review scores for each employee and placed the results in the bar chart below. All employees received a rating on each of the Evaluation Categories. If Person 6 obtained the highest score possible, what score did Person 2 receive? Use the graph and tables below.
The score of person 2 is 30.
What is a bar chart?A bar chart is a graph that shows the numerical values of variables represented by the height rectangles of equal width. In a bar graph, the rectangles must be of equal width and the space between each bars must be equal.
Total score of person 6 with the highest score possible : highest score x number of options
5 x 9 = 45
This means that on the bar chart, the value of person 6's rectangle is 45. This means that each the value of the graph increases by 5. This means that each line increases by the value of 5.
Score of person 2 = number of lines to the height of the bar x 5
6 x 5 = 30
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If the product of a number and -7 is subtracted from the number the result is 6 more than a number , what is the equation writte
The number is -6/7 and the equation is x-7*x=x+6.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
Let the number be x.
We have to find the number.
According to given question we have
If the product of a number and -7 is subtracted from the number the result is 6 more than a number
product of a number and -7 =-7*x
subtracted from the number=x-7*x
6 more than a number=x+6
i.e
x-7*x=x+6
compare the like terms we have,
x-7*x=x+6
Subtract x from both sides we get ,
-7x=6
x=-6/7
Therefore, the number is -6/7 and the equation is x-7*x=x+6.
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Find the smallest number by which 80 is multiplied to make it a perfect square?
Step-by-step explanation:
2*40=80
so, the smallest of 80 is 2
Step-by-step explanation:
question: find the smallest number by which 80 is multiplied to make a perfect square.
80 x 6 = 400
the square root of 400 = 20
therefore 6 is the smallest number that multiplies by 80 to give a perfect square.
what is the y intercept in 5x -2y
Answer:
0
Step-by-step explanation:
y intercept means that the x is 0, so we make the equation like this:
-2y = -5x
-2y = -5(0)
y = 0/-2
y = 0
Help please! I need this urgently
Answer: step-by-step
Step-by-step explanation:
first one is paralell
second one is perpindicular
third one is neither
lmk if wrong, good luck!
Can someone do 4,6,8 for me pls show work I give l Brainly and extra point
Answer:
4.) T = M - N
T(-M) = M - N (-M)
(/-1) T - M = -N (/-1)
-T + M = N
6.) Ax + By = C
(-Ax) Ax + By = C (-Ax)
By = C - Ax
By (/B) = (C - Ax)/(B)
y= (C - Ax)/B
8.) C = pi(d)
(/pi) C = d
C/pi = d