Answer:
[tex]\boxed{\fcolorbox{144 ft^{2} }}[/tex]
Describe how g(x) = 4f(x) transforms the graph of the parent function f(x) = x2.
Answer:
The graph of the parent function is stretched by 4 units.
Step-by-step explanation:
Multiplication of a function by a positive scalar:
When we multiply a function by a positive scalar a, the graph of the function is stretched by a units.
In this question:
g(x) is function f(x) multiplied by 4, which means that the graph of the parent function is stretched by 4 units.
Rhombus ABCD has vertices A(-1, -2), B(2,2), C(6,5), and D(3,1). The perimeter of the rhombus is
Answer:
The perimeter of the rhombus is approximately 19.999.
Step-by-step explanation:
First of all, we plot all points that constructs the rhombus, whose outcome is attached below. Diagonals of the rhombus are segments AC and BD, whose lengths are determined by Pythagorean Theorem:
Segment AC
[tex]AC = \sqrt{[6-(-1)]^{2}+[5-(-2)]^{2}}[/tex]
[tex]AC \approx 9.899[/tex]
Segment BD
[tex]BD = \sqrt{(3-2)^{2}+(1-2)^{2}}[/tex]
[tex]BD \approx 1.414[/tex]
The perimeter of the rhombus ([tex]p[/tex]) is calculated by the following equation:
[tex]p = 4\cdot \sqrt{\left(\frac{AC}{2} \right)^{2}+\left(\frac{BD}{2} \right)^{2}}[/tex]
[tex]p = 2\cdot \sqrt{AC^{2}+BD^{2}}[/tex]
[tex]p = 2\cdot \sqrt{9.899^{2}+1.414^{2}}[/tex]
[tex]p \approx 19.999[/tex]
The perimeter of the rhombus is approximately 19.999.
. Lightning Lucy’s burnable CDs are on sale this
month for 10% off regular prices. If a pack of 10
blank CDs normally costs $15, how much do you
save per CD?
Original unit cost of CDs = $_________ per CD
10% of original cost = $_________
Original cost minus the 10% discount = $_______
Discounted unit cost of CDs = $_______ per CD
Subtract the two unit costs to find
how much saved per CD = $_________
Answer:
Original Cost = $1.50 per CD
Discount = $1.50
Discounted Cost = $13.50
Discounted Cost = $1.35 per CD
You Saved = $0.15 per CD
Step-by-step explanation:
$15/10CDs = $1.50
$15x10% = $1.50
$15-$1.50 = $13.50
$13.50/10CDs = $1.35
$1.50-$1.35 = $0.15
Luis wants to buy a skateboard that usually sells for $79.91. All merchandise is discounted by %12. What is the total cost of the skateboard if Luis has to pay a state sales tax of 8.25%. Round your intermediate calculations and answer to the nearest cent.
Answer:
Luis' skateboard will cost $76.32.
Step-by-step explanation:
Divide 79.91 by 100, this is what one percent is worth, .7991.
Multiply this by 12, giving you 12 percent, 9.59 (rounded to the nearest 10th).
Now subtract 9.59 from 79.91, 70.32. That is the price BEFORE tax.
Than divide 70.32 by 100, .7032.
Multiply this by 8.25, 5.80, this is tax.
Now add the price before tax, 70.32, to the tax, 5.80.
This creates 76.12. This means that the total price of the skateboard is $76.32.
Answer:
saving $10.38
tax $5.80
total pay $76.12
Step-by-step explanation:
79.91*0.12=9.59
79.91-9.59=70.32
70.32*0.0825=5.80
70.32+5.80=76.12
A pair of shoes is on sale for 40%. This would save you $30 from the price. About what is the original cost of the shoes?
Answer:
$75
Step-by-step explanation:
In ΔDEF, f = 420 cm, e = 720 cm and ∠E=136°. Find all possible values of ∠F, to the nearest degree.
Answer:
24
Step-by-step explanation:
its correct -_-
What is the value of x? 2x + 4 = 14
Answer:
5
Step-by-step explanation:
2x + 4 = 14 ( - 4 )
2x + 10 ( /2)
x= 5
Express 81−2
in the powers of 3
Answer:
3^(4)-2
Step-by-step explanation:
That's the answer
.
.
.
A financial analyst constructs a statistical model to represent the market shares of several similar companies. She then collects data over the
next month to evaluate her model. At the end of the month, she finds that for one of the companies, the difference between her model and the
data is 5%.
She decides to collect data for an additional two months. If her model is valid, what could she expect from the total data collected after three
months?
ОА. .
The difference between the data and the model will get smaller.
OB.
The difference between the data and the model will stay the same.
OC.
It is impossible to predict how the difference between the data and the model will change.
OD.
The difference between the data and the model will get larger
Answer:
Gets Smaller
If her model is valid, she expect from the total data collected after three months that the difference between the data and the model will get smaller. The correct option is A.
What is market shares?When some amount of money is used to buy the share of a particular company, then the percentage of total sales generated by that company is called the market share.
A financial analyst collects data over the next month to evaluate her model. At the end of the month, she finds that for one of the companies, the difference between her model and the data is 5%. She decides to collect data for an additional two months.
If the model is valid, then she can assume that her assumptions are correct over the model according to the data. It will result in decreasing the bridge gap between the model and the collected data.
Therefore, If her model is valid, she expect from the total data collected after three months that the difference between the data and the model will get smaller. The correct option is A.
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Bentley invested $430 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $510?
Answer:
its 11
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
HELPPP ME ASAP FOR 20 EASY POINTSSSS
The area of a floor in square yards is one-ninth the area of the floor in square feet. Write an equation representing y, the area in square yards, to f, the area in square feet.
HELP ME
Answer:
y = f/9
Step-by-step explanation:
Area of a floor in square yards = y = f/9
Area of a floor in square feet = f
The number that represents the area of the floor in square feet is 9 times the number representing the area in square yards. This makes sense because the ratio of yard to feet is 1 : 3 and the ratio of square yard to square feet is the same ratio but squared so 1 : 9.
If y represents the area in square yards and f the area in square feet.
y = f/9
Figure ABCD is a parallelogram... open photo to see question pls
Answer:
choices 2 and 5
Step-by-step explanation:
2. If the present salary of an employee is $36,500 and they are to receive a 7% raise next year, what will be the new salary?
Answer:
hello ! you multiply $36,500 by 7% and you get $25,550. add this amount to the original amount and you get $62,050.
Find the missing side
Answer:
[tex]x = 38.77[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
To find x, we make use of:
[tex]sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
In this case, it is:
[tex]sin(26) = \frac{17}{x}[/tex]
Make x the subject
[tex]x = \frac{17}{sin(26)}[/tex]
[tex]x = \frac{17}{0.4384}[/tex]
[tex]x = 38.77[/tex]
I NEED HELP ASAP! ILL GIVE YOU 10 POINTS FOR THE RIGHT ANSWERS PLEASE!!!!!
Is (x + 3) a factor of f(x) = 4x3 + 11x2 − 75x + 18?
Yes; the remainder is 0 so (x + 3) is a factor
No; the remainder is 234 so (x + 3) is not a factor
Yes; the remainder is 234 so (x + 3) is a factor
No; the remainder is 0 so (x + 3) is not a factor
Answer: B) No; the remainder is 234, so (x+3) is not a factor.
===============================================================
Explanation:
We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).
We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.
To find the remainder of f(x)/(x+3), we need to compute f(-3).
Plug x = -3 into the f(x) function to get...
f(x) = 4x^3 + 11x^2 - 75x + 18
f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18
f(-3) = 234
The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).
Answer:
No; the remainder is 0 so (x + 3) is not a factor
Step-by-step explanation:
What are the next three terms in the sequence 1,7,13,19?
jojo makes 100 working eight hours. Trish earned 25 working one hour. How much more money does Trish make than Jojo after 10 hours?
Answer:
Jojo makes 1000 and Trish makes 250
Step-by-step explanation:
I hope this helped
Answer:
Trish makes $125 more than Jojo after 10 hours
Step-by-step explanation:
$125 jojo
$250 Trish
I am actually in 4th grade but anyway I need see
a party of 9 friends,
they had 34 cooked
chicken wings but then
they cooked 11 more. If
they each got the same
amount, how many
chicken wings would each
person get?
Answer:
5 chicken wings per person
Step-by-step explanation:
if they cooked 34 to begin with then added 11 so
34+11=45
then you divide 45 by 9 equals 5
I NEED HELP ASAP I WILL MARK YOU BRAINLIEST
Which pair of angles are Complementary Angles?
45 degrees and 95 degrees
or
38 degrees and 42 degrees
or
30 degrees and 51 degrees
or
63 degrees and 27 degrees
Answer:
63 degrees and 27 degrees
Step-by-step explanation:
Complementary angles are when two angles add to 90 degrees.
So, we can check if these pairs add up to 90 degrees.
45 + 95 = 140
38 + 42 = 80
30 + 51 = 81
63 + 27 = 90
The only pair of angles that are complementary is 63 degrees and 27 degrees.
An expression for the perimeter of the shape is below
Step-by-step explanation:
rewrite the expression in redical form x⅔A. 30
B.45
C. 90
D. 60
Answer:
C. 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
PICKING BRIANLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!
Which statement about the slope of the line is true?
A. It is fraction negative 1/3 throughout the line.
B. It is −3 throughout the line.
C. The slope from point O to point A is fraction 1/3 times the slope of the line from point A to point B.
D. The slope from point O to point A is 3 times the slope of the line from point A to point B.
What is the range of function g if g(x) = f(x) + 3
Answer:
g(x)=f(x)
f(x)=y
y+3=0
y=-3
the range of g(x) is y=-3
The range of g(x) is y=-3. The range of function is found by equating the given function with the f(x);
What exactly is a function?
A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The range of function is found by equating the given function with the f(x);
[tex]\rm g(x)=f(x)[/tex]
The given function is represented as;
[tex]\rm y=f(x)\\\\y+3=0\\\\y=-3[/tex]
The range of g(x) is y=-3
Learn more about the function, refer;
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The rectangle has a length of 5x - 10 and a width of 2x. The perimeter is 120 units. Solve for x and use it to identify the actual length and width.
Answer: x= 10
Step-by-step explanation:
l= 40
w=20
P=l+w+l+w
120=5x-10+2x+5x-10+2x
120= 14x-20
120+20=14
140=14x
x=10
Answer:
x=10
L=40
W=20
Step-by-step explanation:
P=2L+2W
120=2(5x-10)+2(2x)
120=10x-20+4x
120=14x-20
14x=140
x=140/14=10
then substitute
a television Mark 1600 was sold for 1200 what percent discount was given on that television
Answer:
25%
Step-by-step explanation:
Discount = 1600 - 1200 = 400
Percentage discount
[tex] = \frac{400}{1600} \times 100 \\ \\ = \frac{400}{16} \\ \\ = 25\%[/tex]
What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44
Using the median concept, the interquartile range of the data-set is:
A. 22.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third and the first quartile.From this box plot, we have that:
The first quartile is of 39.The third quaritle is of 61.Then the IQR is:
61 - 39 = 22.
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What is the volume of the rectangular prism?
Answer:
[tex]216mm^{3}[/tex]
Step-by-step explanation:
Substitution 8th grade question , need help. First respond gets brainiest and a thanks.
Answer:
X=5
Step-by-step explanation:
this will basically be 4x+-2(x-8)=26
= 4x+-2x+16=26
2x=10
x=5
y=5-8
-3=5-8
4X5+-2X-3=26
20+6=26
Answer:
Point Form: 5,-3
Equation Form: x=5, y= -3
Explanation:
If 4x+-2(x-8)=26
=4x+-2x+16=26
2x=10
x=
y=5-8
-3=5-8
4x5+-2x-3=26
20+6=26
