A perfect score on a test with 25 questions is 100. Each question is worth the same number of points. How many points is each question on the test worth
Answer:
4
Step-by-step explanation:
100 divided by 25 equals 4.
Reflections on a Coordinate Plane
Answer:
The reflection coordinates of JKL would be:
J (3,7)
K (2,3)
L (-1,5)
The reflection coordinates of MNP would be:
M (8,-6)
N (2,-4)
P (8,-4)
Step-by-step explanation:
Two students each write a function, C(n), that they think can be used to find the number of circles needed to make the nth figure in the pattern shown.
Use the drop-down menus to explain why each function does or does not represent the number of circles needed to make the nth figure in the pattern.
The function that can be find used to find the number of circles needed to make the nth figure in the sequence is (C + 1) + 4.
How to calculate the sequence?The sequence can be illustrated through the function (C + 1) + 4 where C is the previous number. For the third picture, the number of circles will be:
= (C + 1) + 4
= 5 + 4
= 9
The fourth term will be:
= 9 + 4
= 13
Therefore, each figure uses 4 circles more than the previous one.
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Answer:
Step-by-step explanation: This function can be used to find the number of circles needed to make the nth figure in the pattern.
Each figure uses 4 more circle(s) than the previous figure because an additional circle is added to the top, bottom, left, and right sides.
the other half i got incorrect.
=
If f(x) is an exponential function where f(-2) = 25 and f(7) = 85, then find the
value of f(14), to the nearest hundredth.
=
Exponential from two points
The exponential function f(x) can represent growth or decay
The value of f(14) is 226.07
How to determine the value of f(14)?The given parameters are:
f(-2) = 25 and f(7) = 85
An exponential function is represented as:
f(x) = ab^x
So, we have:
ab^-2 = 25
Also, we have:
ab^7 = 85
Divide both equations.
This gives
b^9 = 3.4
Take the 9th root of both sides
b = 1.15
Recall that:
ab^7 = 85
This gives
a* 1.15^7 = 85
Solve for a
a = 31.95
So, the exponential function is:
f(x) = 31.95 * 1.15^x
Substitute 14 for x
f(14) = 31.95 * 1.15^14
f(14) = 226.07
Hence, the value of f(14) is 226.07
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Are the ratios 5:4 and 20:16 equivalent?
Answer:
yes
Step-by-step explanation:
If you take 20 and divide by 4 you get 5. if you take 16 and also divide by 4, you will get 4.
Answer this frequency distribution Question. I will make Brainelist + 50 points
Answer:
(i) 41-45 mins
(ii) 40 mins
(iii) 75 workers
(iv) Rs10500
Step-by-step explanation:
(i) The modal class is the class with the highest frequency.
Therefore, from inspection of the frequency table, the modal class is 41-45 mins since if has the highest frequency of 14.
(ii) As the data is grouped, to find an estimate of the mean, assume that every worker takes the value of the class mid-point. As the data is discrete, there are gaps between the classes, and so we also have to use lower and upper class boundaries to calculate the mid-points.
Class 21-25 : lower 20.5 | upper 25.5 | mid-point 23
Class 26-30 : lower 25.5 | upper 30.5 | mid-point 28
Class 31-35 : lower 30.5 | upper 35.5 | mid-point 33
Class 36-40 : lower 35.5 | upper 40.5 | mid-point 38
Class 41-45 : lower 40.5 | upper 45.5 | mid-point 43
Class 46-50 : lower 45.5 | upper 50.5 | mid-point 48
Class 51-55 : lower 50.5 | upper 55.5 | mid-point 53
Class 56-60 : lower 55.5 | upper 60.5 | mid-point 58
Mean = (sum of frequency x class mid-point) ÷ total frequency
⇒ Mean = (2 x 23 + 5 x 28 + 7 x 33 + 10 x 38 + 14 x 43 + 8 x 48 + 3 x 53 + 1 x 58) ÷ 50
⇒ Mean = 40 mins
(iii) 8 hours = 8 x 60 = 480 mins
Total time ÷ average time to make one doll = 480 ÷ 40 = 12
If the mean time to make a doll is 40 minutes, then one person can make 12 dolls in 8 hours.
Therefore, to calculate the number of workers required to make 900 dolls in 8 hours, divide the total number of dolls needed by 12:
900 ÷ 12 = 75
So 75 workers will be needed to make 900 dolls in 8 hours, given the mean time for a worker to make a doll is 40 mins.
(iv) Overtime is paid in excess of 6 hours. Therefore, each worker will be working 2 hours overtime.
Total amount of overtime pay = hours x rate x workers
= 2 x Rs70 x 75
= Rs10500
find the horizontal asymptote for y= 5x/x+6 .
y = 0
y = −6
none
y = 5
Answer:
[tex]y = 5[/tex]
Step-by-step explanation:
Given function:
[tex]y=\dfrac{5x}{x+6}[/tex]
[tex]\implies y=5 \left( \dfrac{x}{x+6}\right)[/tex]
[tex]\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]
[tex]\implies y\rightarrow5[/tex]
[tex]\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]
[tex]\implies y\rightarrow5[/tex]
As [tex]x[/tex] approaches infinity and negative infinity, [tex]y[/tex] approaches 5 (but never gets there). Therefore, the horizontal asymptote is [tex]y=5[/tex]
Can someone please help me
If tanθ= 2 find cotθ using identities. This is in quad. 1.
Answer: 1/2
Step-by-step explanation:
Helppppp!!! 50 pts!
Translate the sentence into an equation.
Three times the sum of a number and 5 is 7.
Use the variable C for the unknown number.
Answer:
3(C + 5) = 7
Step-by-step explanation:
Let C = unknown number
The sum of a number and 5:
C + 5
Three times the sum of a number and 5:
3(C + 5)
Three times the sum of a number and 5 is 7:
3(C + 5) = 7
To solve
Use the distributive law: a(b + c) = ab + ac
⇒ 3C + 15 = 7
Subtract 15 from both sides:
⇒ 3C = -8
Divide both sides by 3:
⇒ C = -8/3
So
The expression is
3(c+5)=7On solving
3c+15=73c=-8c=-8/3what is the interquartile rang of the following data set? 9,30,2,48,42,18,81,5,55,73,11
How many more quarters does
Tommy need before he has $3.00
in quarters?
what does Y=
what does x=
Answer:
Step-by-step explanation:
The equation factors into
(x^2 + 14x + 49) =16 Factor
(x + 7)^2 = 16 Take the square root of both sides
√(x + 7)^2 = √16
x + 7 = +/- 4
x + 7 = + 4 Subtract 7 from both sides
x = 4 - 7
x = - 3
x + 7 = - 4 Subtract 7 from both sides.
x = - 4 - 7
x = - 11
x1 = -11
x2 = - 3
What is the area of the blue shaded region in the figure?
Answer:
B. 90 in²
Area of white triangle
3×4/2
12/2 = 6 in²
Area of blue triangle
12×16/2
192/2= 96in²
96in² - 6in² = 90 in²
A wall is 3600 sq ft.
A gallon of paint covers 600 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Answer:
1 gallon / 600 sq ft
Step-by-step explanation:
As we can see, we are given that 600 sq ft uses one gallon to cover, therefore one gallon covers 600 sq ft (just vice versa of what's given).
If we randomly select 2 students at a time and record their drinking habits, what is the probability that both students drink
Answer:
1 liter
Step-by-step explanation:
x2by 100%8hdofux27675 868*uhf
y=1/2x+2 y=1/3x+2 solve for graphing
Answer:
I plotted it out on the graph and here it is:
Solve the following quadratic by completing the square.
Answer:
[tex]x = -5 \pm \sqrt{26}[/tex]
Step-by-step explanation:
[tex]x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm\sqrt{26}\\\\\implies x = -5 \pm \sqrt{26}[/tex]
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D: 699
E: 582.5
F: 116.5
2. 1398
3. 13048
Step-by-step explanation:
Hope this helps!
need help with geometry question
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60% A, 23% B, and 37% C. Show the frequency and relative frequency distributions
Answer:
0.5,0.2,0.3
Step-by-step explanation:
divide 60,23,37 by 120
Find the value of y and z
[tex]\qquad\qquad\huge\underline{{\sf Answer}} \huge♨[/tex]
In the given figure, NQ acts as a diameter and since diameter subtends 90° at the arc of the circle, so we can conclude that ~
[tex]\qquad \sf \dashrightarrow \:3y = 90 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 90 \degree \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 30 \degree [/tex]
Now, Let's use Angle sum property of Triangle to solve for z :
[tex]\qquad \sf \dashrightarrow \:4z + 3y + 50 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:4z +90 \degree + 50 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:4z = 180 \degree - (50 \degree + 90\degree)[/tex]
[tex]\qquad \sf \dashrightarrow \:4z = 180 \degree - (140\degree)[/tex]
[tex]\qquad \sf \dashrightarrow \:4z = 40 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:z = 40 \degree \div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:z = 10 \degree [/tex]
I hope you understood the procedure, you can ask me in comments if you have any doubts.
Please help solve this SAT math problem. I have 4 more like these so need help with this so that I can solve the rest by myself. Thank you.
The notation just means
(f/g)(-4) = f(-4) / g(-4)
If f(x) = x² + 2 and g(x) = 1 - 3x, then
f(-4) = (-4)² + 2 = 16 + 2 = 18
g(-4) = 1 - 3 (-4) = 1 + 12 = 13
and so
(f/g)(-4) = 18/13
Find the domain and range of the function shown.
Please help I’ll mark brainliest thank you.
Answer:
A
Step-by-step explanation:
Remember domain is input and range is output.
Input: All real numbers
Output: [0, infinity)
A
In the diagram below, what kind of line is BF relative to ABC?
Answer:
Step-by-step explanation:
BF is the angle bisector of ∠B.
What number is one-eighth of three hundred and sixty?
Answer:
45
Step-by-step explanation:
Have a great day!
#EquestrianLion
What is the gradient of the graph shown below. Give answer in simplest for
Answer:
1
Step-by-step explanation:
Choose two points on the line: (-5, 0) and (0, 5)
Let the first point [tex](x_1,y_1)[/tex] = (-5, 0)
Let the second point [tex](x_2,y_2)[/tex] = (0, 5)
Use the gradient formula:
[tex]\textsf{gradient}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-0}{0-(-5)}=1[/tex]
----------------------------------------------------------------------------------------------------
If you want to find the equation of the line, use the point-gradient form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where [tex]m[/tex] is the gradient and [tex](x_1,y_1)[/tex] is a point on the line)
Substituting the values into the formula:
[tex]\implies y-0=1(x-(-5))[/tex]
[tex]\implies y-0=x+5[/tex]
[tex]\implies y=x+5[/tex]
Therefore, the equation of the line is y = x + 5
Part 014 The credit card with the transactions described in the popup below uses the average daily balance method to calculate interest. The monthly interest rate is 1.4% of the average daily balance. Calculate parts a-d using the statement in the popup Click the icon to view the credit card statement a Find the average daily balance for the billing period. Round to the nearest cent. The average daily balance for the billing period is $ (Round to the nearest cent as needed.)
The average daily balance of the transactions given for the billing period will be $1798.
How to calculate the average daily balance?From the complete question, the average daily balance is completed below:
Billing date = 2645.92 × 5 = $13229.6
Repayment on June 6 = $1345.92 × 2 = $2691.84
June 8 = $1381.85
June 9: = $1518.53 × 8 = $12148.24
Gas = $1560.90
Groceries = $1687.37 × 10 = $16873.70
Clothing = $1902.49 × 4 = $7609.96
Total = $53935.19
Therefore, the average daily balance will be:
= $53935 / 30
= $1798
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A school band sold 432 tickets for their upcoming spring concert. This represents about 85.5% of the number of tickets sold last year. How many tickets were sold last year? (Round to the nearest whole number)
100 POINTS! ! !
Exploiting will be reported.
Chase deposits $6,604.80 into a savings account that pays a simple annual interest rate of 3.22%. How much interest will he earn after 4 years?
SHOW WORK and will give brainlist.
Answer:
$850.69824
Step-by-step explanation:
simple interest formula : (principal * rate of interest * time)/100(6,604.80 * 3.22 * 4)/100$850.69824Answer:
$850.70 (nearest cent)
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principal (initial balance)r = annual interest rate (in decimal form)t = time (in years)Given:
P = $6,604.80r = 3.22% = 0.0322t = 4 yearsSubstituting given values into the formula, and solving to find A:
⇒ A = 6604.8(1 + 0.0322 · 4)
= 6604.8(1.1288)
= $7455.50 (nearest cent)
Therefore, to find the amount of interest earned, subtract the principal from the final amount:
⇒ I = A - P
= 7455.50 - 6604.80
= $850.70 (nearest cent)