Answer:
Step-by-step explanation:
first we need to calculate the area of isosceles triangle having sides 48cm, 48cm and 30cm
a = 48
b= 30
Area of isosceles triangle using only sides = ½[√(a^2 − b^2 /4) × b]
= 1/2*30√( 48² - 1/4×30²)
=1/2*30√ (2304 -225)
=684sq cm
cost required to make umbrella= 10*684*5
= 34200
A sinusoidal graph has an amplitude of 9 and a midline of y = –2. Determine
the range of the graph.
Answer:
[tex]( - 11.7)[/tex]
Range 18
Step-by-step explanation:
Twice the amplitude.
4. Which expression is a simplified form of -5(8x)?
a. 40x
b. -40%
C. 3x
d. -40x?
Answer:
Option d
Step-by-step explanation:
-5(8x)
= -5×8×x
= -40x
Answered by GAUTHMATH
What is the intersecting point of these two lines?
1. y = 3/4x + 6
2. y = x + 1
b) Tìm ba cách viết số hữu tỉ -11/25 dưới dạng tổng của hai số hữu tỉ dương.
Enter a recursive rule for the geometric sequence?
4, -16, 64, -256,...
a^1 = __; a^n = __
Plzz help!
Answer:
Step-by-step explanation:
a^1=-2
a^n=a×a^n-1
I need help by 9:30!!! Please help! I would GREATLY appreciate it!!!!!
I have two questions:
1. Which is larger: a or -a
if a > 0 = a___-a
if a = 0. = a___-a
if a < 0 = a___-a
2. Which is larger: 1/a or 1/2a
if a > 0 = 1/a___1/2a
if a < 0 = 1/a___1/2a
Answer:
1. a>-a
EXAMPLE: 5>-5
2. a=-a
3. a<-a
EXAMPLE: -3<--3 = -3<3
Step-by-step explanation:
you hold a sale for $5 sandwiches at your restaurant.you end up selling 359 sandwiches to 245 customers
A. how much money do you have in sandwich sales?
B. how many sandwiches per customer did you sell ?
Answer:
A. $1795
B. 7
Step-by-step explanation:
Given the following data;
Cost price, Cp = $5
Number of sandwiches sold, Ns = 359 sandwiches.
Number of customers, Nc = 245 customers.
a. To find how much money you have in sandwich sales;
Total amount of money = Cp * Ns
Total amount of money = 5 * 359
Total amount of money, T = $1795
B. To find how many sandwiches per customer did you sell;
Sandwiches per customer = T/Nc
Sandwiches per customer = (1795/245
= 7.33 ≈ 7
Pepe and Leo deposit money into their savings accounts at the end of each
month. The table shows the account balances.
If their patterns of saving continue, and neither earns interest nor withdraws
any of the money, how will the balances compare after a very long time?
Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly
(see graph, where red is Pepe and blue is Leo)
Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have:
Pepe and Leo deposit money into their savings accounts at the end of each month.
From the table, we can plot a graph on a coordinate plane.
As we can see in the graph:
Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.
Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ5
can someone help pls ? :]]
Answer:
1st option, p and q are both negated
What is the function rule that represents the sentence y is 7 less than the product of 6 and x?
Answer:
y = 6x-7
Step-by-step explanation:
product of 6 and x
6x
7 less than the product of 6 and x
6x-7
y = 6x-7
Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?
Answer:
56
Step-by-step explanation:
A car is purchased for $21,500. After each year, the resale value decreases by 25%. What will the resale value be after 5 years?
Answer:
$5,102.05
Step-by-step explanation:
Present value of the car = $21,500
Present percentage value = 100% = 1
Percentage of Depreciation per year = 25% = 0.25
Years of depreciation = 5 years
The value of the car after 5 years = Present value of the car (Present percentage value - Percentage of Depreciation per year)^Years of depreciation
= 21,500(1 - 0.25)^5
= 21,500(0.75)^5
= 21,500(0.2373046875)
= 5,102.05078125
Approximately,
The value of the car after 5 years = $5,102.05
Tell answer
find in exponenial form
a) 27³x9²x3 options
1) 3³
2) 3 to power 14
answer in detail
Answer:
[tex]{ \tt{ {27}^{3} \times {9}^{2} \times 3 }} \\ = { \tt{ {3}^{3} \times {3}^{2} \times {3}^{1} }} \\ = { \tt{ {3}^{(3 + 2 + 1)} }} \\ { \tt{ = {3}^{6} }}[/tex]
indio, california is located at an elevation that is below sea level. which is a possible elevation for indio, california?pls help besties!!
Answer:
Let me look some things up.
Step-by-step explanation:
Then I will get back to you
PLEASE HELP!
Part C
What if the first six-sided die is replaced by an eight-sided die. How can you change the table to show the sample space for rolling an eight-sided die and then a six-sided die? Explain.
Answer:
If the first die is changed from a six-sided to an eight-sided die, add two rows to the bottom of the table and number them 7 and 8.
Step-by-step explanation:
Answer:
If the second die is changed from a six-sided to an eight-sided die, add two columns to the right of the table and number them 7 and 8.
Step-by-step explanation:
Is 3584 a term of the series 7+14+28+56........?
(please answer if you know; this is the question from geometric series:- General progression)
(full steps and process required)
(No spam answers or else you'll be reported )
Answer:
yes it is the 10th term in the series
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{7}[/tex] = 2 , then
[tex]a_{n}[/tex] = 7 [tex](2)^{n-1}[/tex]
Equate [tex]a_{n}[/tex] to 3584 and solve for n
7 [tex](2)^{n-1}[/tex] = 3584 ( divide both sides by 7 )
[tex]2^{n-1}[/tex] = 512 , that is
[tex]2^{n-1}[/tex] = [tex]2^{9}[/tex]
Since the bases on both sides are equal, both 2 , then equate the exponents
n - 1 = 9 ( add 1 to both sides )
n = 10
3584 is the 10th term in the series
What is the area of the circle?
Diameter = radius x 2
So, the radius is half of the denominator.
10 / 2 = 5
A = pi x r^2
A = pi x 5^2
A = 3 x 25
A = 75 ft^2
Hope this helps!
"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
enjoy it
it best answer for you
Below are the ratings for a sample of 12 hotels in small Ontario towns:
1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2
The critical values of this data set are given:
Q1=4.8 Q2=6.6 Q3=7.2
a) Determine the following and show all work: [3 marks]
i) interquartile range (IQR)
ii) upper boundary and lower boundary
iii) any outlier(s)
b) Create a modified box plot for the data, showing any outlier(s). [1 mark]
c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]
Answer:
a)
i) Interquartile range is 2.4
ii) Upper boundary is 10.8
The Lower boundary is 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
b) The modified boxplot with one outlier is given in the diagram.
c) The 80th percentile is
The minimum rating the hotel can get is 7.3
Step-by-step explanation:
a)
i) Interquartile range is
IQR = Q3-Q1 = 7.2-4.8 = 2.4
ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8
Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
c) The 80th percentile is given by
n= 12
k = 0.80
Index is given by k*n =0.80*12 = 9.6
Round to nearest whole number, that is 10th
80th percentile is the 10th number (arranged in ascending order)
80th percentile = 7.3
The minimum rating the hotel can get is 7.3.
b) The modified boxplot with one outlier is given as follows,
2). 2, x, 14 are in Arithmetic progression, then the value of x is :
A. 28
B. 16
C. 7
D. 8
Please help! Thank you.
Answer:
B
Step-by-step explanation:
x((7/2)-(7/3))=y+x
x(7/6)=y+x
7x=6y+6x, x=6y. y/x=1/6
for the function F(x) = 1/4 * 2 ^ I , what is F(3) ?
Answer:
What I DONT KNOW
Step-by-step explanation:
Triangle ABC is reflected across the line y = x. What are the coordinates of the vertex B' of the resulting triangle A'B'C?
Answer:
B' (2, - 5 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
B (- 5, 2 ) → B' (2, - 5 )
What will increasing the size of a probability sample do? decrease the level of confidence increase the variability of a sample statistic increase the variability in a population parameter decrease the variability of a sample statistic decrease the variability in a population parameter
Answer:
Decreases the variability of a sample
Step-by-step explanation:
Given that the items are unrelated random variables, we have that the total of the variances of variates is the variance of their sum, that is the variance of the mean of a distribution is the variance of a sample in the distribution divided by the square root of the number of subjects in the sample (the sample size)
Therefore, we have;
[tex]\sigma_{\overline x} = \dfrac{\sigma }{\sqrt{n} }[/tex]
Therefore, increasing the size of a probability sample, decreases the variability of a sample and increases precision and level of confidence
The step function g(x) is defined as shown.
-3, X < 0
g(x) = 2 0 < x < 4
5, 4 < x < 10
What is the range of g(x)?
0 -3 = g(x) 5
Os g(x) = 10
O {-3, 2, 5)
{0, 4, 10}
The 3rd option is correct.
The range refers to the y-values so the multiple choice answer is restricted to the 1st and 3rd options. The range of the step function is not continuous, it is only the discrete values {-3, 2, 5}.
The perimeter of a rectangle is 34 units. Its width is 6.5 units.
LAT. write an equation to determine the length
Answer:
please mark me brainlist
Step-by-step explanation:
Age of Yusuf is 24 years more than half the age of Ajay. 5 years before sum of their ages was 41. Find their present ages.
Answer:
Yusuf is 33 and Ajay is 18
Step-by-step explanation:
Let Y and A stand for the ages of Yusuf and Ajay, respectively.
We are told that:
(1/2)A + 24 = Y [Age of Yusuf is 24 years more than half the age of Ajay]
(A-5)+(Y-5) = 41 [5 years before sum of their ages was 41]
Take the definition of Y in the first equation and use it in the second:
Y = (1/2)A+24 from the first equation
(A-5)+(Y-5) = 41 The second equation
(A-5)+(((1/2)A + 24)-5) = 41 Replace Y with (1/2)A+24
(A-5)+(1/2)A + 24-5 = 41
A-5+(1/2)A + 24-5 = 41
(3/2)A + 14 = 41
(3/2)A = 27
A = (2/3)(27)
A = 18
Ajay is 18 years old
Yusuf is Y=(1/2)(18)+24
Yusuf is 33 years old
====
Check: Is Yusuf 24 years more than half the age of Ajay?
Ajay = 18, so (1/2)18 = 9. Add 24 years to get 33. Yes, this works since Yusuf is 33 years old
Was the sum of their ages = 41 five years ago?
Ajay would have been 13 and Yusuf would have been 28 28+13 = 41 YES
f(x) = x + 6, find the ordered pair when x = -2.
Answer:
(-2,4)
Step-by-step explanation:
ordered pair = coordinates
f(-2) = -2+6 = 4
f(x) = y
The midpoint of A (-4, 2) and B(8,5) is
O (2,7/2)
O (-6, 3/2)
O (4,7/2)
Answer:
(2,7/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(-4+8) /2 = 4/2 =2
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(2+5) /2 = 7/2 =
The midpoint is (2,7/2)
Answer:
(2, [tex]\frac{7}{2}[/tex])
Step-by-step explanation:
Hi there!
We want to find the midpoint of (-4,2) and (8,5)
To do that, we'll use the midpoint formula, which will find the midpoint using the formula ( [tex]\frac{x_1+x_2}{2}[/tex],[tex]\frac{y_1+y_1}{2}[/tex]), where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion
[tex]x_1[/tex]=-4
[tex]y_1[/tex]=2
[tex]x_2[/tex]=8
[tex]y_2[/tex]=5
Now substitute those values into the formula and solve
To find the value of the x-coordinate of the midpoint, use [tex]\frac{x_1+x_2}{2}[/tex]
x=[tex]\frac{-4+8}{2}[/tex]
Add the numbers together on the numerator
x=[tex]\frac{4}{2}[/tex]
Divide
x=2
The value of the x-coordinate is 2
Now find the value of the y coordinate by using [tex]\frac{y_1+y_1}{2}[/tex]
y=[tex]\frac{2+5}{2}[/tex]
Add the numbers together on the numerator
y=[tex]\frac{7}{2}[/tex]
So the point is (2, [tex]\frac{7}{2}[/tex])
Hope this helps!
Help me pls asappp with Pythagorean theorem
