Answer:
13.76 cm^2
Step-by-step explanation:
over all area=8x8=64
4 circular quarter areas=one whole circle in area.
circle area=pi(radius)^2=3.14(4)^2=50.24
overall-circular=64-50.24=13.76 cm^2
Answer:
13,8
Step-by-step explanation:
The area of a square = 8 * 8 = 64 \(cm^{2}\)
There are 4 quarters of a circle, which make one full circle
The area of a circle is π * \(r^{2}\) = 3,14 * \(4^{2}\) = 50,24 \(cm^{2}\)
Here π ≈ 3,14, r is radius, r = 8/2 = 4 cm
The area of the whole square - the area of a circle = 64 \(cm^{2}\) - 50,24 \(cm^{2}\) = 13, 76 \(cm^{2}\) ≈ 13,8 \(cm^{2}\)
Are 6:20 and 9:10 equivalent ratios
Answer:
No
Step-by-step explanation:
Find a common factor:
2(9:10) = 18:20 ≠ 6:20
Advertising a business. Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
Show all work
The inequality representing the given situation is -
300x + 700y ≤ 7500
What is advertising?Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.
Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.
We can write the inequality as -
300x + 700y ≤ 7500
where -
{x} - number of online ads posted
{y} - number of TV ads poste
Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.
Therefore, the inequality representing the given situation is -
300x + 700y ≤ 7500
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The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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Prove the Converse of the Pythagorean Theorem
In this activity, you will prove and apply the converse of the Pythagorean theorem. Recall that the
converse states that if the square of the length of the longest side of a triangle is equal to the sum of
the squares of the other two sides, then the triangle is a right triangle.
Open the GeoGebra activity to complete each step below. For help, watch these short videos about
using GeoGebra to measure and create points, lines, and anglese.
Question 1
Part A
Draw AABC with vertices at A(1,6), B(1, 1) and C(5,1). In this triangle, AB²+ BC² = AC².
Next, use the GeoGebra tools to draw ADEF such that AB = DE, m/E
Paste a picture of your drawing in the answer box.
= 90°, and EF
BC.
B I U X² X2 15px
AVA
E E g = = 三 四 V 田
=
The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.
To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.
AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5
BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4
AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)
Now, let's check if AB^2 + BC^2 = AC^2:
AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41
AC^2 = (2sqrt(10))^2 = 4(10) = 40
Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.
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Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hour?
Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections
Step-by-step explanation:
Answer:
1.25
Step-by-step explanation:
10 ÷ 8 = 1.25
do you think you could help me with this problem
Answer:
3.833 hours
Explanation:
We can describe the situation using the following equation:
y = 370 + 60x
Where y represents the total number of miles that you need to drive. 370 is the number of miles that you already drove, 60 is your speed and x is the number of hours that you need to drive to reach your destination.
Now, you should drive 600 miles, so replacing y by 600, we get:
600 = 370 + 60x
Finally, to know the answer, we need to solve the equation for x, so:
600 = 370 + 60x
600 - 370 = 370 + 60x - 370
230 = 60x
230/60 = 60x/60
3.833 = x
Therefore, you will need to drive for 3.833 hours more.
2+2=4 because 2 fingers and then another 2 fingers
Answer:
yes
Step-by-step explanation:
Answer:
yes? That's right. ummmm lol
use the unit circle to find sin 240 and cos 240, without using a calculator. then use your calculator to check your answers. notice that your calculator expects you to put parentheses around the 240, which is because sin and cos are functions. except in cases where the parentheses are required for clarity, they are often left out.
Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.
The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.
For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.
we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.
The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.
We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
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What is the inverse function of (2)
2
?
a,b,c,and d
Step-by-step explanation:
there came a time, when a child cheated on their math work. getting the answers they needed wasnt all
they needed someone to make them feel terrible abuot it
and thats what im here to do
PICK ALL OF THEM
MASH YOUR COMPUTER
Complete the table shown to the right for the half life of a certain radioactive substance.
Decay rate:1.5% per year=-0.015
The half life is ___ years
Given:
Decay rate: 1.5% per year = -0.015
To find:
The half life.
Solution:
The continuous exponential decay function is
\(A(t)=Ae^{-kt}\)
where, a is initial value, -k is decay rate and t is time period.
For half life, \(A(t)=\dfrac{A}{2}\),
\(\dfrac{A}{2}=Ae^{-0.015t}\)
Dividing both sides by A.
\(\dfrac{1}{2}=e^{-0.015t}\)
Taking natural log on both sides.
\(\ln \dfrac{1}{2}=\ln e^{-0.015t}\)
\(-0.69314718=-0.015t\)
Divide both sides by -0.015.
\(\dfrac{-0.69314718}{-0.015}=t\)
\(46.209812 =t\)
\(t\approx 46\)
Therefore, the half life is 46 years.
4.
Study Figure A and Figure B below.
Figure A
Figure B
In the table below, fill in the correct number
of faces, vertices, and edges for Figure A and
Figure B.
Figure A
Figure B
Number
of Faces
Number
of Vertices
Number
of Edges
A square prism has the following characteristics:
Number of faces: 6
Number of vertices: 8
Number of edges: 12
A cuboid has the following characteristics:
Number of faces: 6
Number of vertices: 8
Number of edges: 12
What is meant by square prism?
A square prism is a three-dimensional geometric shape with two parallel square bases and rectangular faces connecting the two bases. It has 8 vertices, 12 edges, and 6 rectangular faces.
What is meant by cuboid?
A cuboid is a three-dimensional geometric shape with six rectangular faces, where opposite faces are equal in size and shape. It has 8 vertices, 12 edges, and 6 rectangular faces. A cuboid is also known as a rectangular prism.
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please indicate higher or lower in each of the columns and correct anything that is incorrect. include a screenshot of the work in excel if possible. thank you!!!
Consider the following situations for Shocker:
1. On November 28, 2024, Shocker received a $1,800 payment from a customer for services to be rendered evenly over the next
three months. Deferred Revenue was credited on November 28.
2. On December 1, 2024, the company paid a local radio station $2,160 for 30 radio ads that were to be aired, 10 per month,
throughout December, January, and February. Prepaid Advertising was debited on December 1.
3. Employee salaries for the month of December totaling $6,200 will be paid on January 7, 2025.
4. On August 31, 2024, Shocker borrowed $52,000 from a local bank. A note was signed with principal and 9% interest to be paid on
August 31, 2025.
Required:
Indicate by how much the assets, liabilities, and stockholders' equity in the December 31, 2024, balance sheet is higher or lower if the
adjusting entry is not recorded. (If none of the categories apply for a particular item, leave the cell blank.)
no random answers
1. Deferred revenue = $600
2. Advertising expense = 720
3. Salaries and wages expense= $6200
4. Interest expense = $1560
What is Adjusting journal entries?
A general ledger entry known as a "adjustment journal entry" is made at the conclusion of an accounting period to report any unrealized income or costs during the time.
1. Deferred revenue
= (1800/3)
= $600
So, Service revenue =$600
2. Advertising expense
= (2160 x 10/30)
= 720
So, the Prepaid advertising = $720
3. Salaries and wages expense= $6200
4 Interest expense
= (52000 x 9% x 4/12)
= $1560
So, the Interest payable is $1560.
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Let A and B be any two events. Which of the following statements, in general, are false? P(A∣B)+P(A∣B)=1
Option A and B : This statements is generally false in probability theory.
A. P(A ∪ B) = P(A) + P(B) - This statement is generally false in probability theory. This is known as the inclusion-exclusion principle, which states that the probability of the union of two events is equal to the sum of their individual probabilities minus the probability of their intersection.
B. P(A | B) = P(A) - This statement is generally false in probability theory. In general, P(A | B) is not equal to P(A) because the occurrence of event B affects the probability of event A.
C. P(A ∩ B) = P(A)P(B) - This statement is generally true in probability theory. This is known as the independent events rule, which states that the probability of the intersection of two independent events is equal to the product of their individual probabilities.
D. P(A | B) + P(A' | B) = 1 - This statement is generally true in probability theory.
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Let A and B be any two events. Which of the following statements, in general, are false? P(A∣B)+P(A∣B)=1
A. P(A ∪ B) = P(A) + P(B)
B. P(A | B) = P(A)
C. P(A ∩ B) = P(A)P(B)
D. P(A | B) + P(A' | B) = 1
PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
A company assigns to each of its employees an ID code that consists of one or two uppercase letters followed by a digit from 0 through 9. How many employee codes does the company have available?
Answer:
7020 codes
Step-by-step explanation:
For one upper case letter:
There are 26 letters in this scenario
For two upper case letters:
There are 26 * 26 letters in this scenario. Essentially, there are 676 letters in this scenario.
For one upper case letter:
There are 10 digits that can be applied to it. So therefore, there are 26 * 10 codes in this case.
That means, there are 260 codes for one upper case letter.
For two upper case letters:
There are 10 digits that can be applied to it. That is to day, there are 676 * 10 codes in this case.
This means, for two upper case letters, there are 6760 codes.
Finally, we add up the number of codes for one upper case letter, and that of two upper case letters together. As such, we have
6760 + 260 = 7020.
The company has 7020 codes available.
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What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | −4 < y < 1} {y | −4 < y < 1}
The domain of function f(x) is given as follows:
{x | 1 ≤ x < 5}.
How to define the domain and range of a function?The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.The values of x of the function given at the end of the answer are as follows:
Starts at x = 1(closed interval).Ends at x = 5 (open interval).Hence the domain is given as follows:
{x | 1 ≤ x < 5}.
Missing InformationThe function is given by the image presented at the end of the answer.
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Answer:
A - {x | 1 < x < 5}
Step-by-step explanation:
took the Quiz
1. Find the measure of 4FEB
Answer:
it is so hard men and there is no solution maybe you can search on siri
S={(3,p),(3,0),(4,q),(1,4)}
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
What is the measure of XYZ?
Answer:
a. An inscribed angle is 1/2 the intercepted arc. The intercepted arc is 68°. The measure of angle xyz is therefore 34°.
Answer:
34 degrees
Step-by-step explanation:
Which graph represents the following piecewise defined function?
The graph that represents the given piecewise function has a range of
R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).
What is a piecewise function?A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.
The range of the piecewise function is the union of all the ranges of the subfunctions.
Calculation:The given piecewise function is
g(x) = x², x < 0
= 1/2 x, 0 < x ≤ 4
= x, x > 4
The domain and range for the subfunctions in the given piecewise function are:
for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)
for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]
for g(x) = x; Domain is {x > 4} and Range is (4, ∞)
Then, the range of the given piecewise function is
Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)
Thus, the graph shown in the question is the correct one.
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Answer: c, its da 3rd graph
Step-by-step explanation:
A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.34 per square foot, the material for the sides costs $0.05 per square foot, and the material for the top costs $0.16 per square foot, determine the dimensions of the box that can be constructed at minimum cost.
Answer:
The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.
Step-by-step explanation:
Geometrically speaking, the volume of the rectangular box (\(V\)), in cubic feet, is represented by this formula:
\(V = l^{2}\cdot h\) (1)
Where:
\(l\) - Side length of the box, in feet.
\(h\) - Height of the box, in feet.
In addition, the total cost of the box (\(C\)), in monetary units, is defined by this formula:
\(C = (c_{b}+c_{t})\cdot l^{2} + 4\cdot c_{s}\cdot l\cdot h\) (2)
Where:
\(c_{b}\) - Unit cost of the base of the box, in monetary units per square foot.
\(c_{t}\) - Unit cost of the top of the box, in monetary units per square foot.
\(c_{s}\) - Unit cost of the side of the box, in monetary units per square foot.
By (1), we clear \(h\) into the expression:
\(h = \frac{V}{l^{2}}\)
And we expand (2) and simplify the resulting expression:
\(C = (c_{b}+c_{t})\cdot l^{2}+4\cdot c_{s}\cdot \left(\frac{V}{l} \right)\) (3)
If we know that \(c_{b} = 0.34\,\frac{m.u.}{ft^{2}}\), \(c_{s} = 0.05\,\frac{m.u.}{ft^{2}}\), \(c_{t} = 0.16\,\frac{m.u.}{ft^{2}}\) and \(V = 40\,ft^{3}\), then we have the resulting expression and find the critical values associated with the side length of the base:
\(C = 0.5\cdot l^{2} + \frac{8}{l}\)
The first and second derivatives of this expression are, respectively:
\(C' = l -\frac{8}{l^{2}}\) (4)
\(C'' = 1 + \frac{16}{l^{3}}\) (5)
After equalizing (4) to zero, we solve for \(l\): (First Derivative Test)
\(l-\frac{8}{l^{2}} = 0\)
\(l^{3}-8 = 0\)
\(l = 2\,ft\)
Then, we evaluate (5) at the value calculated above: (Second Derivative Test)
\(C'' = 3\)
Which means that critical value is associated with minimum possible total costs. By (1) we have the height of the box:
\(h = 5\,ft\)
The dimensions of the box so that total costs are minimum are a side length of 2 feet and a height of 5 feet.
. A marketing company reviewing the length of television commercials monitored a random sample of commercials over several days. They found that a 95% confidence interval for the mean length in seconds) of commercials aired daily was (23, 27). Which is true? 1. The interval (23,27) contains 95% of the population. II. The interval is narrower than a 98% confidence interval would be. III. 95% of all samples would show mean commercial length between 23 and 27 seconds. IV. Were 95% sure that the mean commercial length is between 23 and 27 seconds. (a) I only (b) IV only (e) I and II only (d) II and III only (e) II and IV only
The option II "The interval is narrower than a 98% confidence interval would be" and III "95% of all samples would show mean commercial length between 23 and 27 seconds" is the true about the question. So the option d is correct.
If all possible samples are taken and confidence intervals are calculated, 95% of them will include the true population mean somewhere within their range.
Because of the large margin of error, a 98 percent confidence interval would be wider than a 95 percent confidence interval. So, here we are. The confidence interval is narrower than a 98% confidence interval.
Furthermore, 95% of all samples would have a mean commercial length of 23 to 27 seconds. As a result, the correct answer is II and III (d).
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6 + 2 to the 3rd power times 3
DONE?
A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches. If you ate this whole block of cheese, about how many cubic inches would you have eaten (ignoring the holes)?
420 in
193 in
385 in
210 in
Answer:
193 in
Step-by-step explanation:
Volume of a triangular prism:
The volume of a triangular prism is the base area multiplied by the wedge, that is:
\(V = A_bw\)
The base area is one half times the triangle base times it's height, so:
\(V = 0.5*b*h*w\)
The wedge of cheese is 7 inches tall.
This means that \(w = 7\)
The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.
This means that \(b = 11, h = 5\)
Volume:
\(V = 0.5*b*h*w = 0.5*11*5*7 = 192.5\)
Rounding, approximately 193 in.
What is the range of f(x) = -62*?
O A. y< 1
OB. y<0
O C. y> 0
O D. All real numbers
Answer:
D. all real numbers
Step-by-step explanation:
i think this is the answer sorry if you get it wrong.
Two or more angles whose measures add up to equal 90 degrees are called
angles.
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
Share #720 among A, B and C in the ratio 2:3
Answer:
A will receive 288, B will receive 432, and C will receive 144.
Step-by-step explanation:
The total ratio of the parts is 2+3=5. This means that the whole amount represents 5 parts.
To find the size of one part, we can divide the total amount by the total number of parts:
One part = 720/5 = 144
Now that we know the size of one part, we can use the ratio to find the amounts that A, B, and C will receive:
A will receive 2 parts: 2 × 144 = 288
B will receive 3 parts: 3 × 144 = 432
C will receive 1 part: 1 × 144 = 144
Therefore, A will receive 288, B will receive 432, and C will receive 144.
find the angle vector of 7j +10 k,i +6j+6k,-4i+9j+6k
Answer:
Right angled and isosceles
Pls hurry and answer this
Answer:
A. No, because there should be one more digit in the quotient.
Step-by-step explanation:
440/8 = 55