Answer: y = 5(2)^x.
Step-by-step explanation:
Let's assume that the exponential function is of the form y = ab^x, where a and b are constants to be determined.
Using the point (0, 5):
5 = ab^0
5 = a
Using the point (3, 40):
40 = ab^3
Substitute a = 5 into the second equation:
40 = 5b^3
8 = b^3
b = 2
Therefore, the formula for the exponential function is y = 5(2)^x.
A rectangular prism has a length of 2 centimeters, a height of 8 centimeters, and a
width of 13 centimeters. What is its volume, in cubic centimeters?
The volume of the rectangular prism is 208cm³
What is the volume of a rectangular prism?Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.
The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width
length = 2cm
width = 13 cm
height = 8cm
base area = 13× 2 = 26cm²
Volume of the prism = 26× 8 = 208cm³
Therefore the volume of the rectangular prism is 208cm³.
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complete the partial two-way frequency table below that shows the extracurricular activities of high school students. Based on the data in the table, how many students do not play an instrument
According to the information, the missing number from the box is number 40.
How to find the missing number in the box?To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.
According to the above we can infer that the missing number is 40.
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PLEASEEEEE HELP!
Find the perimeter of this shape. Triangle with the given vertices: C(3, 4), A(5, -4) and T(2, 2).
Answer:
17.19 units.
Step-by-step explanation:
First calculate the distance between the 3 points to get the lengths of sides of the triangle.
Side AC = sqrt( (3-5)^2 + (4- -4)^2) = sqrt68
Side AT = sqrt((5-2)^2 + (-4-2)^2 = sqrt45
Side CT = sqrt((3-2)^2 + (4-2)^2) = sqrt5
So the perimeter = sqrt68 + sqrt45 + sqrt5
= 17.19 units.
This is algebra 1 btw. Please help, thank you :)
Given:-
The sides of the rectangle are 5 and 9.
To find the area after each side is increased by x.
So after each side is increased by x. we get the side lengths as,
\((2x+5),(2x+9)\)So now we use the formula,
\(\begin{gathered} A=l\times b \\ A=(2x+5)(2x+9) \\ A=4x^2+18x+10x+45 \\ A=4x^2+28x+45 \end{gathered}\)So our required area is,
\(4x^2+28x+45\)please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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You baked a total of 270 cookies for your school using three shapes:
stars, circles, and hearts. You have four times as many stars as
circles. The number of hearts is ten less than five times the number
of circles. How many hearts are there?
Answer: They are only 5 heart remaining.
Step-by-step explanation:
Same set up as the problem to the left. Fill in the blanks.
The blanks that are missing in the sequence are -3 and 11
How to fil in the blanks in the sequencefrom the question, we have the following parameters that can be used in our computation:
The blanks in the sequence
When listed out, we have
_, _, 25, 39
Assuming that the sequence, is an arithmetic sequence, then we have
Common difference = 39 - 25
Common difference = 14
This means that
Previous term = 25 - 14 = 11
Firs term = 11 - 14 = -3
So, the missing terms are -3 and 11
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How to solve this problem what do I do
=================================================
Explanation:
We undo the "minus 6" by adding 6 to both sides.
Also, we undo the "+s" by subtracting s from both sides
-----------
So we have these steps
P = r+s-6
P+6 = r+s-6+6 .... adding 6 to both sides
P+6 = r+s
r+s = P+6
r+s-s = P+6-s ..... subtracting s from both sides
r = P + 6 - s
Answer:
P+6-s=r
Step-by-step explanation:
Hi there!
We are given the equation P=r+s-6 and we need to solve for r
To do that, we need to isolate r onto one side, and have everything else on the other.
Here is the equation:
P=r+s-6
start by adding 6 to both sides to clear it from the right side
P+6=r+s
now subtract s from both sides to clear it from the right side
P+6-s=r
now everything that isn't r is on the left side, and r is by itself on the right side. P+6-s=r is the answer.
Hope this helps!
Question 2 (Fill-In-The-Blank Worth 1 points)
(02.02 MC)
Use the graph to fill in the blank with the correct number.
Answer:
Is there a question?
Step-by-step explanation:
Hello??
Heather invests $1,050 in an account with a 3.5% interest rate, making no other deposits or withdrawals. What will Heather’s account balance be after 7 years if the interest is compounded 6 times each year?
Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.
What is the accrued amount after 7 years?To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the account balance after a certain amount of time
P is the principal or initial amount invested
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the time period in years
Given tha data in the question;
P = $1,050R = 3.5%n (the interest is compounded 6 times each year) = 6t = 7 yearsFirst, convert R as a percent to r as a decimal
r = R/100
r = 3.5/100
r = 0.035 rate per year.
Substituting these values into the formula solve for accrued amount, we get:
A = P(1 + r/n)^(nt)
A = 1,050(1 + 0.035/6)^(6 × 7)
A = 1,050(1 + 0.005833333333333)⁴²
A = 1,050(1.005833333333333333)⁴²
A = $1,340.55
Therefore, the accrued amount is $1,340.55.
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Find the value of y.
Answer:
y = \(\sqrt{55}\)
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(altitude)² = product of parts of hypotenuse
then
y² = 11 × 5 = 55 ( take square root of both sides )
y = \(\sqrt{55}\)
PLEASEE HELP ITS KHAN
Answer:
it is B
Step-by-step explanation:
=B
what is the number which is 3 greater than n??
Answer:
n+3
Step-by-step explanation:
Since N is not given it is written as an expression.
The numerical form of the statement a number that is 3 greater than 'n'
is n + 3.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, We have to write an expression which is a number that is 3 greater than n.
Therefore, The numerical form of the given statement is n + 3.
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Answer:
aã/fjd &dsjf éfbcsçvn bñßã
I need help please!! It for geometry
Answer:
Rhombus and Square
Step-by-step explanation:
Perpendicular Diagonals mean that the diagonals intersect each other at a 90 degree angle always.
Rectangles do not intersect at a 90 degree angle, and parallelograms don't ALWAYS intersect at that angle.
However, rhombuses and squares do.
I need help
Help please
22 points
Answer:
$22.7325
Step-by-step explanation:
12.99 * 1.75 = 22.7325
pls mark brainliest
Help with math problems
Step-by-step explanation:
1. w=4 v=-3
2. y=6 x=-2
4. m=6 p=3
5. b=-2 a=4
7. c=8 d=-7
8. g=-3 f=5
10. j=2.5 k=4
11. x=4 y=1.5
13. x=2 y=1
14. y=6 x=5
The ___ is the ratio of a length of the new figure to the corresponding length on the original figure
It’s in the provided picture
Answer:
The answer is A. 31/55 x 111.
Step-by-step explanation:
This was on iReady.
Perform the indicated operation
Answer:
(g o h)(t) = -4t² - 16t + 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Composition of functionsStep-by-step explanation:
Step 1: Define
g(t) = -4t + 3
h(t) = -t² + 4t
(g o h)(t) = g(h(t))
Step 2: Find
Substitute: (g o h)(t) = -4(t² + 4t) + 3Distribute -4: (g o h)(t) = -4t² - 16t + 3And we have our final answer!
Consider a sample with data values of 27, 24, 21, 16, 30, 35, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 1 1.8 Incorrect: Your answer is incorrect. 25th percentile 2 2.25 Incorrect: Your answer is incorrect. 65th percentile 3 5.85 Incorrect: Your answer is incorrect. 75th percentile
Answer:
20
21.75
27.85
29.5
Step-by-step explanation:
Arranging the values in ascending order we get
16 21 24 24 27 28 30 35
n = Number of values = 8
Rank is given by
\(\dfrac{\text{Percentile}}{100}\times (n+1)\)
\(=\dfrac{20}{100}(8+1)=1.8\)
Taking the fraction of the rank i.e., 0.8 and work out the weighted mean
\(0.8\times (21-16)+16=20\)
The 20th percentile is 20
\(\dfrac{25}{100}(8+1)=2.25\)
\(0.25(24-21)+21=21.75\)
The 25th percentile is 21.75
\(\dfrac{65}{100}(8+1)=5.85\)
\(0.85(28-27)+27=27.85\)
The 65th percentile is 27.85
\(\dfrac{75}{100}(8+1)=6.75\)
\(0.75(30-28)+28=29.5\)
The 75th percentile is 29.5
Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions.
Answer:
Given two linearly independent vectors w and z
We want -w-z
Hence apply a negative gradient to w
w=-<-5,3> =<5,-3>
So <5,-3>-<1,4> = (<5-1>,<-3-4>)
The answer is <4,-7>
From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches. From Thursday to Friday, the depth changed by half as much. What is the change in the depth of the snowdrift from Thursday to Friday?
Answer:
From Thursday to Friday, the change in the depth was 19/16 inches
or as a mixed number, 1 3/16 inches
Step-by-step explanation:
From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches
now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8
so, 2 3/8 = 19/8 inches = depth change from monday to thursday
From Thursday to Friday, the depth changed by half as much,
so,
depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)
depth change from thursday to friday = 1/2(19/8) = 19/16 inches
Determine whether the statement makes sense or does not make sense, and explain your reasoning.
"I'm working with a prime number that intrigues me because it has three natural number factors."
Answer:
it doesn’t make sense
Step-by-step explanation:
2.) Which Expression is equal to 0?h
Answer:
0+0=0
Step-by-step explanation:
Expression is another word for equation
98 x 24 = (100 - 2 ) x 24 = ?
Answer:
2352
Step-by-step explanation:
(100 - 2) x 24 = 2400 - 48 = 2352
3. Two companies charge differently for canoe rentals, as shown below.
Company A: c= 8h+ 10, where cequals the total cost (in dollars) and hequals number of
hours.
Company B: $15 per hour.
a. What is Company A's rate of change? How much would it cost for a 4 hour rental?
b. What is Company B's rate of change? How much would it cost for a 4 hour rental?
c. Which is the better buy? By how much for a 4 hour rental?
The rate of change for company A is 8.
The rate of change for company B is 15
Company A is better as it is charging less by a value of $18
What is rate of change?
Rate of change is the changes in the dependent variable when the independent variable changes by a unit value.
We are given 2 companies
A) equation for charges applied by company A is given by c=8h+10
Cost is a function of hours
To find the rate of change we differentiate the function
We get c' = 8
Rate of change for company A is 8
The cost for 4 hour rental is
c= 8(4)+10
c=32+10
c=$42
B) Company B charges $15 per hour
Rate of change for company B is 15
The cost for 4 hour rental is
c= 15(4)
c=$60
C) Company A is better to buy by $18 as the difference between the four hours price between company A and company B is $ 18
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Identify two Pythagorean triples using the known triple 9, 40 , 41. *
Your answer
Step-by-step explanation:
\( {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681\)
If-2a > 6, then
-a>3
-a<3
-a<-3
-a>-3
Answer:
a < - 3
Step-by-step explanation:
Given
- 2a > 6
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity, thus
a < - 3
write 1/4 + 1/4+1/4+1/4+1/4+1/4+1/4 as a multiplication problem then find the product
9514 1404 393
Answer:
7(1/4) = 7/4 = 1 3/4
Step-by-step explanation:
Multiplication is used to simplify repeated addition. The multiplier represents the number of times the sum includes the repeated value.
Here, the term 1/4 appears in the sum 7 times. That means we can write the equivalent expression ...
7 × 1/4 . . . . written as a multiplication expression
The product is found by multiplying the numerator of the fraction by the integer factor.
7 × 1/4 = 7/4
This improper fraction can be written as a mixed number.
7/4 = 1 3/4 . . . . the value of the sum
Answer:
1/4 + 1/4+1/4+1/4+1/4+1/4+1/4
(1/4) x 7
Step-by-step explanation: