What is the total area of this composite figure rounded to the nearest hundredth?
18.53 ft2
43.07 ft2
39.53 ft2
20.07 ft2
Answers
Answer:
B) 176 ft²
Step-by-step explanation:
Answer:
39.53 ft2
Step-by-step explanation:
If you are having a hard time with this it is most likely due to the semicircle. First you need to divide the diameter (3) by 1/2, next you multiply the now radius (radius is always 1/2 of the diameter) and pi to get 3.53.
Now you have to find the area of the rectangle, 3*12 = 36.
36 + 3.53 = 39.53 rounded.
Related Questions
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
,
,
Answers
The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3
How to determine the x-coordinates where the graphs of the equations intersect?From the question, we have the following parameters that can be used in our computation:
y = 2x
y = x² - 3
The x-coordinates where the graphs of the equations intersect is when both equations are equal
So, we have
x² - 3 = 2x
Rewrite the equation as
x² - 2x - 3 = 0
When the equation is factored, we have
(x + 1)(x - 3) = 0
So, we have
x = -1 and x = 3
Hence, the x-coordinates are x = -1 and x = 3
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Question
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
y = 2x
y = x² - 3
Choose Yes or No to tell whether the first number is a multiple of the second number
64,4
29, 3
16,2
42,8
31,7
Answers
In the pair of numbers 64,4 and 16,2 the first number is a multiple of the second number.
What are multiples of a number?A multiple in math are the numbers you get when you multiply a certain number by an integer.
Check whether the first number is a multiple of the second number
A) In the pair 64,4
64=16×4, yes 64 is multiple of 4
B) In the pair 29,3
Here, 29 is prime number
No, 29 is not a multiple of 3
C) In the pair 16,2
16=8×2, yes 16 is multiple of 2
D) In the pair 42,8
Here, 42=2×3×7 and 8=2×2×2
No, 42 is not multiple of 8
E) In the pair 31,7
Here, 31 is prime number
No, 31 is not a multiple of 7
Therefore, in the pair of 64,4 and 16,2 the first number is a multiple of the second number.
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The one I choose I don’t know if it’s right I just clicked something
Answers
Nope the one you’ve chosen is wrong
The correct one is B
Hope this helps!
The colony of bacteria grows according to the law of inhibited growth of a function N(t)=100e^0.045t where N is measured in grams and t is measured in days. Determine the initial amount of bacteria.
Answers
Brainliest pls, have a good day:)
A boat is heading towards a lighthouse, whose beacon-light is 140 feet above the
water. From point A, the boat's crew measures the angle of elevation to the beacon,
13°, before they draw closer. They measure the angle of elevation a second time from
point B at some later time to be 25 Find the distance from point A to point B.
Round your answer to the nearest foot if necessary.
Answers
308.265 is the distance from the point A to point B.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
From point A, the boat's crew measures the angle of elevation to the beacon, 13°.
The height of the lighthouse is given as: h = 140
The distance between point A and the base of the lighthouse is calculated using the following tangent ratio
A=140/tan13=608.695
The distance between point B and the base of the lighthouse is calculated using the following tangent ratio
tan (25)= 140/B
B=140/tan25
=300.43
The distance AB, is then calculated as:
AB=A-B
=608.695-300.43
=308.265
Hence, the distance from point A to point B is 308.265 feet.
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Given the following 4 numbers write a program that will determine which number is the smallest out of the 4.
Number 1 = 5, number 2 = 25, number 3 = 2, number 4 = 56
Answers
Answer:
2
Step-by-step explanation:
It's the smallest one.
Take a two digit number represented by ab, such that neither a nor b is zero and a is not equal to b. Reverse the digits and add the result to the original number. Divide this sum by a+b. What is the quotient?
Answers
Answer:
11
Step-by-step explanation:
We can have any. two numbers that represent a and b
It CANT BE THIS FOLLOWING
A AND B CANT BE ZERO SO WE CAN USE MULTIPLES OF 10
A CANT BE EQUAL TO B SO WE CANT USE MULTIPLES OF 11( ALL THE WAY UP TO 99 BUT WE CANT USE ANY NUMBER AFTER THAT SINCE NUMBERS THAT COME AFTER 99 ARE THREE DIGIT NUMBER)
Let use 5 and 6.
56
Reverse the digits
65
add 56 to 65
121
Divide this by 6+5=11
The answer is 11 This vary for all answers let use 1,7
17 then reverse
71 then add 71 and 17
88 then divide by 1+7=8
11
The quotient is 11.
Step-by-step explanation:
Given:
A two-digit number,'ab'.
Where a and b are non-zero and are unequal to each other.
To find:
Quotient after dividing the sum of the given digit and its reverse with(a+b).
Solution:
The given digit = \(ab = (10a+b)\)
\(Where:\\a \neq b, a\neq 0,b\neq 0\)
On reversing the given digit =\(ba = (10b +a)\)
Now adding the given digit and its reverse:
\(= ab +ba = (10a+b)+(10b+a)\\=(11a+11b)=11(a+b)\)
Diving the sum with (a+b):
\(=\frac{11(a+b)}{(a+b)}=11\)
The quotient is 11.
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Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below.
x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction
What is Tyler’s error?
Answers
Answer:
\(y^{-9}\neq \dfrac{1}{y^{-9}}\)
Step-by-step explanation:
Tyler simplified the expression: \(x^{-3}y^{-9}\) as shown below:
\(x^{-3}y^{-9}=\dfrac{1}{x^3}X \dfrac{1}{y^{-9}}=\dfrac{1}{x^3y^{-9}}\)
We notice that in Tyler's work:
\(y^{-9}= \dfrac{1}{y^{-9}}\)
Whereas, the correct form would have been:
\(y^{-9}= \dfrac{1}{y^{9}}\)
Making our solution:
\(x^{-3}y^{-9}=\dfrac{1}{x^3}X \dfrac{1}{y^{9}}=\dfrac{1}{x^3y^{9}}\)
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
15 multiplied by what makes 80
Answers
Answer:
5.33
Step-by-step explanation:
It is a repetitive decimal.
4 ounces for every 16 ounces. Rate or ratio and in simplest form
Answers
4 for 16 would be written as 4/16.
Dividing both numbers by 4 it is simplified to 1/4
4 ounces for every 16 ounces can be written as:
\(\displaystyle \frac{4}{16} =\frac{1}{4}\)
As a ratio, it can be expressed as:
\(1:4\)
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answers
The true statements are
The value of f(–10) = 82
The graph of the function is a parabola.
The graph contains the point (20, –8).
What is a Parabola:A parabola is a type of conic section that is formed when a plane intersects a cone in such a way that the angle between the plane and the vertical axis of the cone is equal to the angle between the plane and a generator (a straight line passing through the vertex and the base of the cone).
The resulting shape is a symmetrical, U-shaped curve. The standard form of the parabola is a quadratic function.
Here we have
The quadratic function f(x) = x²/5 – 5x + 12
Now check each option as follows
1. The value of f(–10) = 82
To check this find f(-10) as follows
f(-10) =1/5 (-10)²– 5(-10) + 12 = 20 + 50 + 12 = 82
Hence, The value of f(–10) is equal to 82
2. The graph of the function is a parabola.
As we know the standard equation of a parabola is a quadratic function that is in the form of ax² + bx + c
Hence, the quadratic function represents a parabola
3. The graph of the function opens down.
In the given function f(x) = x²– 5x + 12, the coefficient of the x² term is 1. Since the coefficient of x² is positive, the parabola opens upwards.
Hence, The graph of the function opens down is false
4. The graph contains the point (20, –8).
To check this substitute the point in f(x)
=> –8 = 1/5(20)²– 5(20) + 12
=> –8 = 80 – 100 + 12
=> –8 = –8 [ Which is true ]
Hence, The graph contains the point (20, –8).
5. The graph contains the point (0, 0).
=> 0 = (0)²– 5(0) + 12
=> 0 = 12 [ which is not true ]
Hence, The graph doesn't contain the point (0, 0).
Therefore,
The true statements are
The value of f(–10) = 82
The graph of the function is a parabola.
The graph contains the point (20, –8).
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The product of (x + 3)(-x2 + 4x − 2) is:
Answers
Answer:
Hey 2923928 !
Answer: The second choice
\( \dashrightarrow \: { \tt{(x + 3)( - {x}^{2} + 4x - 2)}}\)
• from distributive property;
\(\dashrightarrow \: { \tt{( - {x}^{3} + 4 {x}^{2} - 2x - 3 {x}^{2} + 12x - 6) }}\)
• simplify:
\(\dashrightarrow \: { \tt{ - {x}^{3} + {x}^{2} + 10x - 6}}\)
Answer:
-x^3 + x^2 + 10x - 6
Step-by-step explanation
1. distirbute the x and 3(multiply) into this equation -x^2+4x-2
2. add all similar numbers
3. Profit.
The two shapes below are scaled copies
of one another. The base lengths are
shown. What is the scale factor going
from the first figure to the second?
15
6
Answers
Answer:
2/5 or 0.4.
Step-by-step explanation:
6/15 = 2/5
please help me solve this problem
Answers
The features related to vectors are listed below:
Case A: u' = (- 4√41 / 41, - 5√41/ 41)
Case B: Tip coordinantes of vector v: (x, y) = (10, 10)
Case C: r = 11.402
How to determine vectors
In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.
Case A - Unit vector
Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:
u' = u / ||u||
Where:
u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.Please notice that the magnitude of the vector is determined by Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
Where:
r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.Thus, the unit vector of u is:
u' = (- 4, - 5) / √[(- 4)² + (- 5)²]
u' = (- 4, - 5) / √41
u' = (- 4 / √41, - 5 / √41)
u' = (- 4√41 / 41, - 5√41/ 41)
Case B - Definition of a vector
This can be found easily by vector subtraction:
v = Tip coordinates - Base coordinates
(3, 4) = (x, y) - (7, 6)
(x, y) = (3, 4) + (7, 6)
(x, y) = (10, 10)
Case C - Magnitude of a vector
The magnitude is found by means of Pyhtagorean theorem:
r = √[(- 4 - 3)² + (- 5 - 4)²]
r = √[(- 7)² + (- 9)²]
r = 11.402
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If a population doubles every 5 years, how many years will it take for the population to increase by 10 times
its original amount?
Answers
Answer:
25 years
Step-by-step explanation:
what is 75.25 - 7.94
Answers
Answer:
67.31
Step-by-step explanation:
ahhshshshahaha
Answer:
The answer is 67.31
Step-by-step explanation:
A bag contains 3 blue marbles, 10 green marbles, 4 yellow marbles, and 8 red marbles. A marble is chosen at random, not replaced, then another marble is chosen. What is the probability that it is a red marble, then a blue marble? Write your answer as a fraction in simplest form.
Answers
Answer:
There are a total of 25 marbles in the bag.
The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.
Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.
The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.
To find the probability of both events occurring together, we multiply their individual probabilities:
8/25 x 1/8 = 1/25
Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.
Please help I need this will give 100 points please help
Answers
The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:
-∞ < x < 1 or 1 < x < 6 or 6 < x < 2
Solving Inequality in a given domainGiven the inequality,
f(x²-2) < f(7x-8) over D₁ = (-∞, 2)
We need to find the values of x that satisfy this inequality.
Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.
First, we can find the values of x that make the expressions inside the function equal:
x² - 2 = 7x - 8
Simplifying, we get:
x² - 7x + 6 = 0
Factoring, we get:
(x - 6)(x - 1) = 0
So the values of x that make the expressions inside the function equal are x = 6 and x = 1.
We can use these values to divide the domain (-∞, 2) into three intervals:
-∞ < x < 1, 1 < x < 6, and 6 < x < 2.
We can choose a test point in each interval and evaluate
f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.
Let's choose -1, 3, and 7 as our test points.
When x = -1, we have:
f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)
Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.
When x = 3, we have:
f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)
Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.
When x = 7, we have:
f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)
Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.
Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:
-∞ < x < 1 or 1 < x < 6 or 6 < x < 2
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Two math classes took the same quiz. The scores of 10 randomly selected students from each class are listed below. • Sample of Class A: 75, 80, 60, 90, 85, 80, 70, 90, 70, 65 • Sample of Class B: 95, 90, 85, 90, 100, 75, 90, 85, 90, 85 Based on the medians of the scores for each class, what inference would you make about the quiz scores of all the students in Class A compared to all the students in Class B? Explain your reasoning to justify your answer.
Answers
Answer:
Step-by-step explanation:
First you have to find the medians which is when you put the numbers in number order and find the one in the middle.
Class A: 60,65,70,70,75,80,80,85,90,90
=77.5
Class B: 75,85,85,85,90,90,90,90,95,100
=90
That the class B is more advanced, and they probably studied.
What fraction of an hour is 51 minutes?
Give your answer in its simplest form.
Answers
Answer:
0.850
Step-by-step explanation:
=51/60
The answer is: 0.850
a grain silo has a cylinder shape. Is radius is 9 ft , and its height is 42 ft. What is the volume of the silo? use the value 314 for it and round your answer to the nearest whole number. Be sure to include the correct units of your answer
Answers
To find the volume, we will use the formula;
V = πr² h
where v is the volume, r is the radius and h is the height
From the question, r = 9 h = 42 and π = 3.14
substitute the values into the equation
V = 3.14 x 9² x 42
= 3.14 x 81 x 42
=10682.28
V≈ 10682 ft³ to the nearest whole number
True or false question please help :)
Answers
Answer:
TrueStep-by-step explanation:
:D
Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three non-repeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?
Answers
Answer:
its a or the A135 one
Step-by-step explanation:
because the last 2 have a lower case or no letter and the second one is wrong for no reason so it has to be a or the 135
Answer:
A!!!!!!!!!!!!!!!!!
Step-by-step explanation:
write the following in standard form: 8/-36
Answers
Answer:
Step-by-step explanation:
8/-36
-0.222222...
2. Which of the following is equivalent to 8^3 x 8^7 ?*
O 1) 8^21
O2) 8^4
O 3) 8^10
O 4)1
Answers
Answer:
3) 8^10
Step-by-step explanation:
Use formula: (same base)
a^m × a^n = a^m+n
So,
8^3 × 8^7 = 8^3+7
= 8^10
Divide.
11.02 ÷ 3.8
Enter your answer, as a decimal, in the box.
Answers
Answer:
2.9
Step-by-step explanation:
11.02÷3.8= 2.9
Answer:
2.9
if im right mark as brainlest thank you!
81% as a fraction. no need to simplify the answer
Answers
Answer:
81/100
Step-by-step explanation:
81% is 81/100 because 81% is 81% of 100.
Answer: 81/100
Step-by-step explanation:
bro please help. Im depressed because nobody will help me(true or false questions)
Answers
True - Jim Gyms initial value is 45 and Revolution Fitness is 50.
True- In 2 months Jim Gym would pay 75$ and Revolution Fitness would pay 75$ as well.
PRE CALC HELP NEEDED
Answers
Answer:
\(\dfrac{5e^2}{2}\)
Step-by-step explanation:
Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.
Given function:
\(y=x^2\ln(2x)\)
Differentiate the given function using the product rule.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)
\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)
Input the values into the product rule to differentiate the function:
\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)
To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:
\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)
Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:
\(\boxed{\dfrac{5e^2}{2}}\)