Answer:
Tamara's expression
5(4 + 6) + 3(4 + 6)
This expression lets us see the area of each section.
Explanation:
To complete Tamara's expression, we need to write an expression for the area of the photo section and an expression for the area of the list sections.
So, the area of the photo sections is equal to:
Ap = Base · Height
Ap = 5 · (4 + 6)
In the same way, the area of the list sections is equal to:
Al = Base · Height
Al = 3 · (4 + 6)
Then, Tamara's expression is the sum of both areas, so it is equal to:
Ap + Al
5(4 + 6) + 3(4 + 6)
Finally, this expression calculated the area of each section, so we can have an idea of how is the layout of the yearbook. On the other hand, Paulo's expression just gives us the total area of the page.
So, the answer is:
Tamara's expression
5(4 + 6) + 3(4 + 6)
This expression lets us see the area of each section.
describe and correct the error a student made finding the intercepts of the graph of the line 4x-6y=12
Answer:
sorry????
Step-by-step explanation:
mmmmmmmmm?????
Select all the expressions that equal 3^4
A. 7
B. 4^3
C. 12
D.81
E. 64
F.9^2
Answer:
D, F
Step-by-step explanation:
3^4 is 81, D and F are both equal to 81.
Find the measure of the indicated angle.
- 20°
161"
61*
73"
H
73
195
E
The measure of the indicated angle formed by a secant and tangent line is 61 degrees.
What is the measure of the missing angle?The outside or external angles theorem states that "the measure of an angle formed by two secant lines, two tangent lines, or a secant line and a tangent line from a point outside the circle is half the difference of the measures of the intercepted arcs.
It is expressed as;
External angle = 1/2 × ( x - y )
From the diagram:
Intercepted arc GE = y = 73°
Intercepted arc HE = x = 195°
External angle GFE = ?
Plug the given values into the above formula and solve for the indicated angle:
External angle = 1/2 × ( x - y )
External angle GFE = 1/2 × ( 195 - 73 )
External angle GFE = 1/2 × 122
External angle GFE = 61°
Therefore, the outside angle is 61 degrees.
Option C) 61° is the correct answer.
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a bicycle shop sells road bikes and town Cruisers. It takes 2 hours to assemble a road bike. It takes 1 hour to assemble a town Cruiser. A maximum of 60 hours a week is set aside to complete the essay for both types of bike. After assembly for safety reasons the assembly needs to be checked and tested it takes 1/2 hour to check and test the road bikes in 1/4 hour to check and test the time Cruisers a maximum of 20 hours per week is set aside to complete these tasks for both types of bike what is a system of inequalities that models the scenario select all the apply also which graph best represents the solution to the system
Let:
x = Number of road bikes
y = Number of town Cruisers
A maximum of 60 hours a week is set aside to complete the essay for both types of bike
so:
\(2x+y\le60\)After assembly for safety reasons the assembly needs to be checked and tested it takes 1/2 hour to check and test the road bikes in 1/4 hour to check and test the time Cruisers a maximum of 20 hours per week is set aside to complete these tasks for both types of bike, so:
\(\frac{1}{2}x+\frac{1}{4}x\le20\)Therefore, the system is given by:
\(\begin{gathered} 2x+y\le60_{\text{ }}(1) \\ \frac{1}{2}x+\frac{1}{4}y\le20_{\text{ }}(2) \end{gathered}\)\(\begin{gathered} x\ge0 \\ y\ge0 \end{gathered}\)4
Which polynomial has the highest degree?
A 3x12 - 2x + x5
B 8x - 200
© 15x3 + 3x2 - 10
D 150x3
Answer: A. \(3x^{12} - 2x + x^5\)
Step-by-step explanation:
The degree in a polynomial is the greatest exponent of any term in that expression.A. \(3x^{12} - 2x + x^5\)
Here, highest exponent = 12
Degree of polynomial =12
B. 8x-200
Here, highest exponent = 1
Degree of polynomial =1
C. \(15x^3 + 3x^2 - 10\)
Here, highest exponent = 3
Degree of polynomial =3
D. \(150x^3\)
Here, highest exponent = 3
Degree of polynomial =3
Option A. has the polynomial with the highest degree as 12.
Answer:
A. 3x12 - 2x + x5
Step-by-step explanation:
Hope this helps
Which property is used in the following expression? L +R+W=W+L+R
A. Commutative Property Of addition
B. Commutative Property Of multiplication
C. Associative Property Of Addition
D. Associative Property Of multiplication
a triangle has two sides of lengths 5 and 12, what value could the length of the third side be? check all that apply
Answer:
11 and 9
Step-by-step explanation:
The inequality is 12-5<x<12+5, which simplifies to 7<x<17, so the length of the third side can be any number between 7 and 17, but not including those numbers.
The answer is 11 and 9
The rectangle shown has a perimeter of cm and the given area. Its length is three times more than its width. Write and solve a system of equations to find the dimensions of the rectangle.
Using system of linear equations, the length and width of the rectangle are 9cm and 3cm respectively
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. To find the length and width, we use both equations to solve for l and w
In this problem, the rectangle has a perimeter of 24 cm and the given area . Its length is three times more than its width.
l = lengthw = width2l + 2w = 24 ...eq(i)
l = 3w ...eq(ii)
Solving both equations; the length is 9cm and width is 3cm
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Complete Question : The rectangle shown has a perimeter of 24 cm and the given area. Its length is three times more than its width. Write and solve a system of equations to find the dimensions of the rectangle.
What is the volume, to the nearest whole cubic inch, of a cylinder with a height of 10 inches and a radius of 8 inches?
Use = 3.14 and round your answer to the whole number
what are the features of the function g if g(x)= f(x+4) +8
The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.
Given the function g(x) = f(x + 4) + 8, let's examine its features:
Domain:
The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f. However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.
Range:
Similar to the domain, the range of the function g will depend on the range of the function f.
x-intercept:
The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.
0 = f(x + 4) + 8
By subtracting 8 from both sides:
-8 = f(x + 4)
Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.
y-intercept:
The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:
g(0) = f(0 + 4) + 8
g(0) = f(4) + 8
Again, the specific value of f(4) will depend on the behavior of the function f.
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what is the difference between sixteen thousand dollars and three thousand, five hundred and fifty dollars?
Answer: 2500
Step-by-step explanation:
HELP ME
Final exam guide due
Show work
The approximate height of the tree is given as follows:
45.6 ft.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The altitude segment for this problem is given as follows:
14.5 ft.
The bases are given as follows:
5.2 ft and x ft.
Hence the value of x is given as follows:
5.2x = 14.5²
x = 14.5²/5.2
x = 40.4 ft.
Hence the height of the three is given as follows:
5.2 + 40.4 = 45.6 ft.
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Genetics, stress and_________can also have an impact on the health of the cardiovascular system.
A. attitude
C. lifestyle
Answer:
C. lifestyle
Step-by-step explanation:
Hope this helps!
Doreen uses 13 apples for every 2 pies she bakes. How many will she use for 12 pies
Answer:bbbbb
Step-by-step explanation:
sssđs
Given : 13 apples for every 2 pies
We know that : 12 = 2 × 6
Therefore, the number of apples will be 13 × 6 = 78
So, the answer is 78
let C be the curve y=5sqrtx for 1.1
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Rectangle JKLM is shown. What is the value of x?
HELP PLSSS IM STARTING SCHOOL AND DODNT FINISH MY HW!!
Answer:
(2,3.5)
Step-by-step explanation:
B=(1,2)
A=(3,5)
what are you guys studying?
Answer:
im study about history it was my favourite subject!
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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can someone help me with this asap
Answer:
Step-by-step explanation:
(2/3)x - 4 > 1
(2/3)x > 5
x is larger or equal 15/2
SOMEONE ANYONE PLEASE HELP!!!
The graph of g(x) is obtained from the graph of f(x) by the following transformations:
- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).
- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).
In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.
Here is a more detailed explanation of the transformations:
- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).
- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).
from the given set of numbers which is an odd one out, 2,6,28,23,7,64
The diameter of a circle is 8cm. Find its circumference to the nearest tenth.
Answer:
\(C = 25.1 \text{ cm}\)
Step-by-step explanation:
We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:
\(C = \pi d\)
Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).
↓ plugging in the given radius
\(C = 8\pi \text{ cm}\)
↓ rounding to the nearest tenth
\(\boxed{C = 25.1 \text{ cm}}\)
a computer that normally cost 500 dolars was on sale for 200 dollars. what is the percent decrease. please show work for brainlist
Answer:
(100/500) *200 =40%
Step-by-step explanation:
If you are 99 pounds, and you eat 1 pound nachos, are you 1 percent nachos?
Answer:
Maybe depends how much chocolate cake u are
Step-by-step explanation:
i would like help with this question
The information given about the hypothesis shows that the null hypothesis is that the H0 equals 1775 and the alternate hypothesis is that it's less than 1175.
How to illustrate the information?It should be noted that the distribution given in the information is normal. The z score based on the information will be:
= (1806 - 1775)/70/✓16
= 1.7714
Also, the test statistic that was used is the z score. The p value is 0.0382. Therefore, the null hypothesis will be rejected.
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A toddler is jumping on another pogo stick whose length of their spring can be represented by the function g of theta equals 1 minus sine squared theta plus radical 3 period At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal?
The springs from the original pogo stick and the toddler's pogo stick length are equal after 1 second and 0.9994 second.
Explanation:The given functions are:
\(\begin{gathered} f(\theta)=2\cos \theta+\sqrt[]{3} \\ g(\theta)=1-\sin ^2\theta+\sqrt[]{3} \end{gathered}\)The springs from the original pogo stick and the toddler's pogo stick length are equal when both functions coincide
That is;
\(\begin{gathered} f(\theta)=g(\theta) \\ \Rightarrow2\cos \theta+\sqrt[]{3}=1-\sin ^2\theta+\sqrt[]{3} \end{gathered}\)Solving the equation, we have:
\(\begin{gathered} 2\cos \theta+\sqrt[]{3}=1-\sin ^2\theta+\sqrt[]{3} \\ Subtract\sqrt[]{3}\text{ from both sides} \\ 2\cos \theta=1-\sin ^2\theta \end{gathered}\)Note the identity below:
\(\begin{gathered} \cos ^2\theta+\sin ^2\theta=1 \\ \cos ^2\theta=1-\sin ^2\theta \end{gathered}\)This means
\(\begin{gathered} 2\cos \theta=\cos ^2\theta \\ \cos ^2\theta-2\cos \theta=0 \\ \cos \theta(\cos \theta-2)=0 \\ \cos \theta=0 \\ \Rightarrow\theta=\cos ^{-1}(0)=1 \\ \\ OR \\ \cos \theta-2=0 \\ \cos \theta=2 \\ \theta=\cos ^{-1}(2)=0.9994 \end{gathered}\)The springs from the original pogo stick and the toddler's pogo stick length are equal after 1 second and 0.9994 second.
How many coupons can be generated
The number of coupon codes that can be generated is given as follows:
247,808 coupon codes.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.
This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
The codes are composed as follows:
Two letters -> each with 22 options, as letters can be repeated.Three digits -> each with 8 options, as digits can also be repeated.Thus the total number of codes is obtained as follows:
N = 22² x 8³
N = 247,808 coupon codes.
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(50 POINTS AND BRAINLYEST)
Please answer them all :)
A dilation that makes a shape larger is a(n)....
Question 4 options:
expansion
contraction
reflection
rotation
Question 5 (1 point)
Saved
A dilation that makes a shape smaller is a(n)....
Question 5 options:
expansion
contraction
reflection
rotation
Question 6 (1 point)
The resulting shape after a transformation is completed is called the...
Question 6 options:
final shape
pre-image
image
result
Question 7 (1 point)
The number that is used to determine if a dilated shape has been expanded or contracted is the...
Question 7 options:
scale factor
center of dilation
origin
really important number