Answer:
4.64
Step-by-step explanation:
if you add 2.64 and 2 you get 4.64
HELP ASAP
A picture is 7 inches wide and 9 inches long. A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long. What scale factor was used to enlarge the picture?
9/7
7/9
31.5/7
7/31.5
The Scale factor was used to enlarge the picture is 7/ 31.5.
What is Scale factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
A picture is 7 inches wide and 9 inches long.
A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.
So, scale factor is
= Original dimension / Enlarged dimension
= 9/ 40.5
= 90/ 405
= 10/45
= 2/9
Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.
= 7/ 3.15
= 70/31.5
= 2/9
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Identify the equivalent expression to the square root of x plus 3
Answer:
\( {x}^{2} + 3 \)
SOMEONE PLEASE HELP ME T-T
Shania has 12 coins in her pocket. Of these coins, 5 are pennies and 7 are dimes. Shania randomly selects one coin from her pocket and, without replacing it, selects another coin from her pocket. What is the probability that both coins are dimes?
Answer:
10/12
Step-by-step explanation:
Answer:
10/12
Step-by-step explanation:
Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet
longer than it is wide.
The equation to determine the length and width of the rug is
28 = w² + 12w
Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.
What is a rectangle?
Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
We are given a rectangular rug with an area of 28 square feet.
Also, the rug is 12 feet longer than it is wide.
So,
Let 'l' be the length of the rug and 'w' be the width of the rug
As given, Length is 12 feet longer than its width
Therefore, l = w + 12
We know Area of rectangle = Length * Width and area is given to be 28 square feet.
So,
⇒28 = (w + 12)w
⇒28 = w² + 12w
Hence, the equation to determine the length and width of the rug is
28 = w² + 12w.
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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.
Create an equation to determine the length and the width of the rug.
Sort the cards!
BRAINLIST if correct, NO links!
Answer:
High Variability - Scenario 4, Scenario 1
Low Variability - Scenario 5, Scenario 3, Scenario 2
Step-by-step explanation:
I hope
25 POINTS
What are the ordered pair solutions for this system of equations?
y = x^2 - 2x + 3
y = -2x + 12
The ordered pair solutions for the system of equations are (-3, 18) and (3, 6).
To find the y-values corresponding to the given x-values in the system of equations, we can substitute the x-values into each equation and solve for y.
For the ordered pair (-3, ?):
Substituting x = -3 into the equations:
y = (-3)^2 - 2(-3) + 3 = 9 + 6 + 3 = 18
So, the y-value for the ordered pair (-3, ?) is 18.
For the ordered pair (3, ?):
Substituting x = 3 into the equations:
y = (3)^2 - 2(3) + 3 = 9 - 6 + 3 = 6
So, the y-value for the ordered pair (3, ?) is 6.
Therefore, the ordered pair solutions for the system of equations are:
(-3, 18) and (3, 6).
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i need to find angle C, side length AB and side length AC
Crownfashions.com wants to estimate the average time that visitors to its website spend browsing the site. In a random sample of 49 visits this week, average browsing time is 13.6 minutes. Assume you know the population standard deviation is 5.2 minutes. Construct an 80% confidence interval estimate of average browsing time for the population of crownfashion.com visitors this week. Report the margin of error indicated by the interval.
The 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
To construct an 80% confidence interval estimate of the average browsing time for the population of crownfashion.com visitors this week, we can use the following formula:
Confidence Interval = \(\bar{X}\) ± Z \(\times\) (σ/√n)
Where:
\(\bar{X}\) is the sample mean (average browsing time) = 13.6 minutes,
Z is the Z-score corresponding to the desired confidence level (80% confidence level corresponds to a Z-score of 1.28),
σ is the population standard deviation = 5.2 minutes,
n is the sample size = 49.
Plugging in these values, we can calculate the confidence interval as follows:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/√49)
Simplifying the expression:
Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/7)
Confidence Interval = 13.6 ± 1.28 \(\times\) 0.742857
Confidence Interval = 13.6 ± 0.951428
The lower bound of the confidence interval is 13.6 - 0.951428 = 12.648572, and the upper bound is 13.6 + 0.951428 = 14.548572.
Therefore, the 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.
The margin of error indicated by the interval is half of the width of the confidence interval, which is (14.548572 - 12.648572) / 2 = 0.95 minutes.
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HELP PLEASE
classify the triangle
Answer:
I believe it would be an acute triangle.
What is the measure of angle D?
122°
45°
32°
70°
the area of a regular hexagon is 35 in2. find the length of a side. round your answer to the nearest tenth.
The length of a side of regular hexagon with area 35 inch² is 3.7 inches.
The formula to be used for calculation of the length of a side of regular hexagon is -
Area = 3√3/2 a², where a is the side.
Keep the values in formula -
35 = 3√3/2 a²
Rewriting the equation to find the length of side of regular hexagon
a² = 35×2/3√3
Performing multiplication in numerator and denominator of the equation
a² = 70/5.2
Performing division
a² = 13.5
a = ✓13.5
Taking square root
a = 3.67 inches
Rounding to nearest tenth = 3.7 inches
Thus, the side is 3.7 inches.
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Can someone help me please
Which ordered pair is a solution to the system of equations?
2x - y = -1
2x - 4y = 8
Answers:
(8,2)
(-2,-3)
(7,-5)
(1,3)
Answer:
(-2,-3)
Step-by-step explanation:
The explanation in the photo
HELPPO ME PLEASEE!!!!!!
Answer:
Here,
x + 25° + 3x + 95° + 80°=360° (Sum of angles of a quadrilateral is 360°)
or,x+3x + 25° + 95° + 80° =360°
or,4x + 200 = 360°
or,4x = 360 - 200
or,4x = 160
or,x = 160÷4
or,x = 40
Now,
Angle K = (x + 25)° = 40 + 25° = 65°
Angle L = 3x° = 3 × 40° = 120°
You deposit $3500 into an account with an APR of 2.3% for 10 years. How much money would you have if the account is compounded monthly?
If you deposit $3500 into an account with an APR of 2.3% compounded monthly for 10 years, you would have approximately $4,190.07 at the end of the term.
What is compound Intrest?
Compound interest is a type of interest that is calculated on the initial principal amount as well as the accumulated interest of previous periods. In other words, with compound interest, you earn interest not only on the money you initially deposited or borrowed, but also on the interest that has been added to the account over time.
The key difference between compound interest and simple interest is that with simple interest, you only earn interest on the initial principal amount. With compound interest, the interest is added to the principal, and then interest is calculated on the new total amount. This means that over time, the interest earned on the account can grow at an increasing rate.
Compound interest is commonly used in savings accounts, investment accounts, and loans. It is important to understand how compound interest works when evaluating different financial products or making decisions about borrowing or saving money.
To calculate the future value of the deposit with monthly compounding, we can use the formula:
A = P * (1 + r/n) raise to the power (n*t)
where:
A = the future value of the deposit
P = the initial deposit amount ($3500 in this case)
r = the annual interest rate (2.3%)
n = the number of times the interest is compounded per year (12 for monthly compounding)
t = the time period (in years)
Plugging in the values given, we get:
A = 3500 * (1 + 0.023/12) raise to the power (12*10)
A ≈ $4,190.07
Therefore, if you deposit $3500 into an account with an APR of 2.3% compounded monthly for 10 years, you would have approximately $4,190.07 at the end of the term.
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what is the probability of a difference between the means being as large as was obtained, if the null hypothesis is true
The answer to the given question is 6.3%. The the probability of a difference between the means being as large as was obtained is 6.3% if the null hypothesis is true.
What is null hypothesis?
The hypothesis that there is no difference between the sample means is called the null hypothesis. What does it mean by “no difference”? Chance will almost surely ensure that there is some difference between the sample means, for they are most improbable to be identical.
Accordingly we set limits within which we should regard the samples by not having any significant difference. If we put the limits at twice the standard error of the difference, and consider a mean outside this range as coming from another population, we should on average be wrong about one time in 20 if the null hypothesis is actually true.
If we acquire a mean difference bigger than two standard errors we are given on to two choices: either an uncommon event has occured, or the null hypothesis is invalid. Visualize flipping a coin five times and getting the same side every time. This has almost the same probability (6.3%) as getting a mean difference bigger than two standard errors when the null hypothesis is true.
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Which expressions are equivalent to -2y-8+4y−2y−8+4yminus, 2, y, minus, 8, plus, 4, y ? Choose all answers that apply: Choose all answers that apply: (Choice A) A -2(y+4)+4y−2(y+4)+4yminus, 2, left parenthesis, y, plus, 4, right parenthesis, plus, 4, y (Choice B) B 4(-2+y)-2y4(−2+y)−2y4, left parenthesis, minus, 2, plus, y, right parenthesis, minus, 2, y (Choice C) C None of the above
Answer:
C. None of the above. The correct expression is 2(y-4)Step-by-step explanation:
Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;
Step 1: Collect the like terms of the expression
= -2y-8+4y
= (-2y+4y)-8
Step 2: Sum up the terms in parenthesis:
= (-2y+4y)-8
= 2y-8
Step 3: factor out the common terms
= 2y-8
= 2(y-4)
Hence the equivalent expression is 2(y-4).
Answer:
A and B
Step-by-step explanation:
On Khan Academy its right.
Is there a correlation between the hours spent on homework and the test score? If there is, explain.
Answer:
No there is no correlation between the hours spent on homework and the test scores.
Hope this helps!!!
y=x+5
x-5y=-9
Can someone please help ASAP
Can someone help me solve this triangle (geometry) question?
Answer:
I hope it will help you...
f:g → 10 - g. Find f-1: g
pls i need this
The inverse function is \(f^{-1} (g) = 10 - g\)
What is the Composition function?Composition function is a type of function that is formed by combining two or more functions, where the output of one function becomes the input of another function. Composition function shown by the symbol "∘".
The composition function is a mathematical operation that combines two functions to produce a new function. Specifically, given two functions f and g, the composition function (also called function composition) creates a new function h(x) = f(g(x)) that applies the function g to an input x, and then applies the function f to the output of g(x).
We can start by finding the inverse function of f(g), which is \(f^{-1} (g)\). To do so, we need to solve the equation:
\(f(g) = x = 10 - g\)
for g, in terms of x:
x = 10 - g
g = 10 - x
This gives us the inverse function:
\(f^{-1} (x) = 10 - x\)
Now we can find f^-1(g) by replacing x with g in the above equation:
\(f^{-1} (g) = 10 - g\)
Therefore, the function \(f^{-1} (g)\) is given by:
\(f^{-1} (g) = 10 - g\)
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Complete question is: f:g → 10 - g. Find f-1: g.
how many arrangements of 4 letters from the word combine
Complete the proof.
Given: RS tangent to circle A and circle B at points R and S.
Prove: AR || BS
In the given proof shown below, the idea of tangents and perpendicularity is used to set up a relationship between two lines, AR and BS.
What is tangent the circle?The tangent is a term that is used to tell more or described as the point of contact between a circle or an ellipse and a single line.
Based on the fact that the tangent line is perpendicular to radius of the circle.
Hence, AR ⊥ RS and BS ⊥ RS
Therefore, AR and BS ⊥ similar to line RS.
So, the line AR or BS are said to be either in same line or parallel. because , they are the radius of different circles.
Therefore, AR ║BS.
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Write a recursive rule an explicit rule for each arithmertic sequence. 67 ,37 ,7, -23, -53
The recursive rule of the function is aₙ = aₙ₋₁ - 30
How to determine the recursive formula of the sequence?From the question, we have the following sequence that can be used in our computation:
67 ,37 ,7, -23, -53
In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ - 30
The above represents the recursive rule
Hence, the recursive formula of the sequence is aₙ = aₙ₋₁ - 30
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find the distance between two numbers on a number line. write your answer as a decimal. -7/9 , -2/9 the distance between the two numbers is __?
Answer:
umm.
Step-by-step explanation:
Simplify and solve for x
5 (x + 20) = 7x + 30
Answer:
x = 35
Step-by-step explanation:
5(x + 20) = 7x + 30
Distribute the 5 on the left side by multiplying 5 by the two terms, x and 20.
5x + 100 = 7x + 30
Subtract 7x from both sides.
-2x + 100 = 30
Subtract 100 from both sides.
-2x = -70
Divide both sides by -2.
x = 35
Let ∫21x+59dx=Aln∣u∣+c where u=21x+59. Then A8=
The value of A when u = 8 is A ln(8) + c. To find the value of A in the expression ∫(21x + 59)dx = A ln|u| + c, where u = 21x + 59.
We need to substitute the given value of u into the equation and solve for A. Let's substitute u = 8 into the equation:
∫(21x + 59)dx = A ln|8| + c
Now, let's evaluate the integral on the left-hand side:
∫(21x + 59)dx = 21∫xdx + 59∫dx = 21(x^2/2) + 59x + k, where k is the constant of integration.
Substituting this result back into the equation:
21(x^2/2) + 59x + k = A ln|8| + c
Simplifying the left-hand side:
(21/2)x^2 + 59x + k = A ln|8| + c
Since this equation must hold for all values of x, the coefficients of corresponding terms on both sides must be equal. Therefore, we can equate the coefficients:
21/2 = A
A = 21/2
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the product of nine and three
[ Select ]
fifteen less ten
[ Select ]
eight increased by four
[ Select ]
the quotient of 28 and 7
[ Select ]
the total number of photos if there are nine photos in an album plus four more
[ Select ]
Answer:
1) 9x3=27
2)15-10=10 or 10-15= -5
3)8+4=12
4)28÷7=4
5)9+4=13
Step-by-step explanation:
Hope this helps
have a great day!
Area of Shape please !!!
Answer:
135 cm squared
Step-by-step explanation:
9x20 (for the big bottom rectangle) plus (14-9)x11 because you already found the area of the big rectangle.
DUE TOMORROW PLS HELP!!
does anyone know how to solve the area and perimeter for this parallelogram pls help!!! In details !!!
Answer:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is a measurement of the surface of a shape. for example
You are able to find the perimeter of the rectangle by adding length and width and multiplying by two because the opposite sides of a rectangle are equal in length. Both lengths of the rectangle are the same, and both widths are the same. For example, P = 2 * (14 + 8) = 2 * (22) = 44 centimeter (17.3 in).
Step-by-step explanation:
use set notation and cylindrical coordinates as in the equation f = {(r, , z) | 0 ≤ r ≤ 2, 0 ≤ ≤ 2, r2 ≤ z ≤ 8 − r2} to describe the region.
The region described by the equation f = {(r, θ, z) | 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, r^2 ≤ z ≤ 8 - r^2} can be visualized as a cylindrical volume with specific constraints on the radius, angle, and height.
The given equation f = {(r, θ, z) | 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, r^2 ≤ z ≤ 8 - r^2} represents a region in three-dimensional space. Let's describe this region using set notation and cylindrical coordinates.
In set notation, we can represent the region as:
f = {(r, θ, z) : 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, r^2 ≤ z ≤ 8 - r^2}
This notation indicates that the set f consists of all points (r, θ, z) such that the conditions 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, and r^2 ≤ z ≤ 8 - r^2 are satisfied.
In cylindrical coordinates, we can describe the region as follows:
0 ≤ r ≤ 2 - This represents the radius or distance from the z-axis. The values of r range from 0 to 2.
0 ≤ θ ≤ 2π - This represents the angle or rotation around the z-axis. The values of θ range from 0 to 2π, covering a full revolution.
r^2 ≤ z ≤ 8 - r^2 - This represents the height or distance along the z-axis. The values of z depend on the value of r. For each value of r, z ranges from r^2 to 8 - r^2.
Combining these conditions, we can describe the region as a cylindrical shape bounded by the circular base with radius 2, extending along the z-axis from r^2 to 8 - r^2, and covering a full revolution around the z-axis.
Overall, the region described by the equation f = {(r, θ, z) | 0 ≤ r ≤ 2, 0 ≤ θ ≤ 2π, r^2 ≤ z ≤ 8 - r^2} can be visualized as a cylindrical volume with specific constraints on the radius, angle, and height.
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