Answer:
D is 10
b/12
Step-by-step explanation:
yo i need help now!! please!!!!
The approximate area of the composite figure is 71.13 square centimeters. None of the given answer choices are exact, but the closest one is D. 67.12 square centimeters.
What is the composite figure's square's area?Area of composite shape equals area of square plus area of rectangle. The composite shape's area is 14 + 9 = 23 square inches. The resulting composite shape has a surface area of 23 square inches.
We must first determine the areas of the three simpler shapes in order to combine them together to determine the area of the composite figure.
The first shape is a rectangle that measures 8 cm in length and 6 cm in breadth. Its surface area is 8 by 6 cm, or 48 square cm.
A semicircle with a diameter of 6 cm makes up the second form. It has a 3 centimeter radius. Half of a full circle's area is contained within a semicircle.
1/2 × π × 3 cm × 3 cm = 4.5 π square cm ≈ 14.13 square cm (rounded to two decimal places)
A triangle with a 6 cm base and 3 cm height makes up the third shape. Its geographical range is:
1/2 × 6 cm × 3 cm = 9 square cm
We sum the areas of the three shapes to obtain the area of the composite figure.
48 square cm + 14.13 square cm + 9 square cm ≈ 71.13 square cm
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Please help ASAP ! Find the expressions for the perimeter of these shapes.
Answer:
Quest 1. P = 3xat2 + 4yat2 + 11xy
Quest 2. P = 7xat2 + 21x + 5y + 5
Step-by-step explanation:
Note: Perimeter, P is the total sum of the distance round about an object. that at symbol cant be used here.so.am.using at2 for squared
The perimeter of a rectangle is 52 inches, and the area is 160 square inches. Find the length and width of the rectangle.
Answer:16x16
Step-by-step explanation:
Please help me! Please!
In the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
What is sample space?A sample space is a set of potential results from a random experiment.
The letter "S" is used to denote the sample space.
Events are the subset of possible experiment results.
Depending on the experiment, a sample area could contain a variety of results.
There are just two possible results when we toss a coin: either head or tail.
So, S = H, T, where H is the head and T is the tail, will be the sample space.
As a result, we are aware that there will be a total of 2n outcomes available if there are 'n' coins.
So, the coin has 2 outcomes which are H and T.
And the spinner has 8 outcomes which are 1 - 8.
Then, the sample space would be as follows:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
So, the sample space has a total of 16 elements.
Therefore, in the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
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3 Find the coordinates of the vertices of each figure after the given transformation
3) reflection across the x-axis
Enter Question Text
A U'(1,3),V'(4,3), W'(5,4),T'(1,4)
B U'(3,1),V'(3,4,), W'(4,5),T'(4,1)
D U'(-1,3),V'(-4,3), W'(-5,4),T'(-1,4)
(3)(4-3);W(Sp-4)T(4)
U
T
X
The coordinates of vertices U(1 , -3) , V(4 , -3) , T(1 , -4) , W(4 , -4) becomes
U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4) after the reflection across x-axis occurs.
Solution:When a point is reflected across the x-axis, the x-coordinate remains unchanged, but the y-coordinate is assumed to be the additive inverse. Point (x, y reflection )'s across the x-axis is (x, -y).the point (x , y)→ (x , -y).In the question given 4 coordinates,
U(1 , -3)
V(4 , -3)
T(1 , -4)
W(5 , -4)
the reflection across x-axis
U(1 , -3) →U' (1, 3)
V(4 , -3) → V'(4 , 3)
T(1 , -4) → T'(1 , 4)
W(5 , -4) → W'(5 , 4)
so after the reflection across the x axis the coordinates of the vertices becomes ,
U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4)
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The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
The volume of a gas in cubic centimeters, V, varies inversely with the
pressure of the gas in liters per square centimeter, p.
When the volume of the gas is 16 cm, its pressure is 20 L/cm2. Find the
volume of the gas when the pressure is 2.5 L/cm2
A. 322.5 cm
B. 800 cm3
C. 128 cm3
D. 0.008 cm
Answer:
C. 128 cm³
Step-by-step explanation:
16(20) = 320
320/2.5 = 128 cm³
Which number is written in scientific notation?
4.5x10^-3
14.5 x 10^2
0.78 x 10^-6
5.7x4^8
Answer:
4.5X10^-3
Step-by-step explanation:
Scientific notation formula= x.x times 10^x
g For this group of integral calculus students, an extra 10 points on Exam 1 is associated with an extra points on Exam 2, on average. Compute the r.m.s.-error associated with using the regression method to estimate Exam 2 from Exam 1.
If annual interest rate is 8.25% on 90,900.00 What is my interest for 1/2 a month. It's for 8 years.
To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:
Total number of months = 8 years x 12 months/year = 96 months
Next, we can calculate the interest for half a month:
Interest = Principal x Rate x Time
Where:
- Principal = $90,900.00
- Rate = 8.25% (annual interest rate)
- Time = 0.5/12 years (half a month, expressed in years)
Rate needs to be converted to a monthly rate, so we divide it by 12:
Rate = 8.25% / 12 = 0.6875% (monthly interest rate)
Time needs to be expressed in years, so we divide it by 12:
Time = 0.5/12 years
Now we can calculate the interest:
Interest = $90,900.00 x 0.006875 x 0.0416667
Interest = $25.08 (rounded to the nearest cent)
Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.
Answer:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64
Step-by-step explanation:
Make a plan:
Monthly Interest Rate: 8.25% / 12 = 0.006875Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64Solve the problem:The monthly Interest Rate is 8.25% / 12 = 0.006875 (Ground Truth)Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875 (ground truth).Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64 (ground truth).Draw the conclusion:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64Hope this helps!
In the following diagram,
What is the measure of
∠x
Answer:
Step-by-step explanation:
BAD = 42
x + 103 + 42 = 180
x = 180 - 145
x = 35
Nicks lunch cost $14.75 tax was 1.03 and he left a tip of 2.50 how much did he pay for his lunch
Answer:
$18.28
Step-by-step explanation:
To complete this problem is a straightforward answer:
First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!
I need help, I'm completely lost
Answer:
alpha = 2
beta = -6
Step-by-step explanation:
let everything inside the ln be 'a'
use the chain rule to to differentiate ln a with respect to a
since the differentiation of lnx is 1/x , the differentiation of lna will be 1/a
after the differentiation, you will get: \(\frac{1}{a}\) X \(\frac{d[(x+1)^{2}X (2x-1)^{2} ] }{dx}\)
you need to use the product rule to differentiate the second part, then multiply 1/a by both the equations being added
replace a with its actual value
you will get \(\frac{2}{x + 1}\) and \(\frac{-6}{2x -1}\)
by comparing it to the given equation, we get α = 2 and β = -6
A sling is in the shape of an isosceles triangle with a perimeter of 155 inches. The longest side of the sling is 14 inches longer than either of the other two sides. Find the lengths of each side.
Hello there.
To answer this question, we need to remember some properties of the isosceles triangle.
First (and most importantly), an isosceles triangle is composed by three sides, in which only two of the sides have equal length.
The perimeter of a triangle is given by the sum of the lengths of the sides, such that: \(2p={\ell}_1+{\ell}_2+{\ell}_3\), in which \(p\) is the semiperimeter.
Given that the perimeter of such triangle is equal to \(155~\text{in}\) and the longest side is \(14~\text{in}\) longer than both the other sides, we have that:
\(\begin{cases}{\ell}_2={\ell}_3\\ {\ell}_1+{\ell}_2+{\ell}_3=155\\ {\ell}_1={\ell}_2+14\\\end{cases}\)
Using these informations, in terms of \({\ell}_2\), we get:
\({\ell}_2+14+{\ell}_2+{\ell}_2=155\)
Sum the equal terms on the left hand side of the equation
\(3\,{\ell}_2+14=155\)
Subtract \(14\) on both sides of the equation
\(3\,{\ell}_2=141\)
Divide both sides of the equation by a factor of \(3\)
\({\ell}_2=47~\text{in}\)
Substituting this value on the first and second equations, we get:
\({\ell}_3=47~\text{in}\\\\\\ {\ell}_1=47+14=61~\text{in}\)
Thus, the length of the sides of this triangle are, respectively from the largest to the smallest: \({\ell}_1=61~\text{in},~{\ell}_2=47~\text{in},~{\ell}_3=47~\text{in}~~\checkmark\)
These are the values we were searching for.
Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25 human resource managers are randomly selected, find the probability that exactly 18 of them say job applicants should follow up within two weeks.
Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consists of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
The probability that out of n trials, there'd be x successes is given by
\(P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\)
Binomial probability distribution
\(P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\)
The parameters are:
n is the number of trials.
x is the number of successes.
p is the probability of success on a single trial.
In this problem:
62% say job applicants should follow up within two weeks, p = 0.62
25 managers are selected, n = 25
The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)
P( X > 18) = 1 - ( X = 18)
= 1 - 0.62
= 0.38
38 % probability that exactly 18 of them say job applicants should follow up within two weeks.
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A rectangular prism has a length of 3 1/2 feet, a width of 5 1/3 feet, and a height of 12 feet. What is the volume of the prism?
Answer:
The answer is 1054ft³
Step-by-step explanation:
Volume of rectangular prism =1/3LWH
V=1/3×31/2×51/3×12
V=1054ft³
necesito para que salga su resultado
Answer: i want to help sosososososo badly but i do not know spanish
Step-by-step explanation:
Find the principal on a savings account with 1.6% interest rate that has earned $25.65 over 2 years.
Answer:
801.5625
Step-by-step explanation:
25.65×100/1.6×2=801.5625
The principal on a savings account with 1.6% interest rate that has earned $25.65 over 2 years will be 801.56 dollars.
What is simple interest?Simple interest is a method of calculating the interest charge.
Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
The principal on a savings account with 1.6% interest rate that has earned $25.65 over 2 years.
Simple Interest = (Principal × Rate × Time) / 100
25.65 × 100/(1.6 × 2 )
= 801.5625
Therefore, the principal on a savings account with 1.6% interest rate that has earned $25.65 over 2 years will be 801.56 dollars.
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Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
1
Given: - 2 x > 6.
Choose the solution set.
O{x|xER, x>-12}
{x|xER, x>-3}
{x|xER,x<-3}
(xxER, x < -12}
Answer:
x< -12
Step-by-step explanation:
-1/2x>6
x-2. x-2
x>-12
Since we multiply by we negative we flip the sign
x< -12
Hopes this helps
find the area of this parallelogram with the measurements 5.2cm and 8.4cm
Answer:
43cm square
Step-by-step explanation:
A= bh
A=8.4cm x 5.2cm
A=43.68cmsqr
Ruth wants to find the decimal equivalent of 226
, so she divides. Study Ruth’s work shown here, and then answer the questions below.
The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,
What is a rational number?A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).
We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:
22/6 = 3.666666...
We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.
Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.
The difference between 40 and the product of these digits and 6 is always 4.
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I will give brainliest :)
Which equation represents this tape diagram?
44
• 4x+3x=44
• 4+(3+x) = 44
• 4(3+x)=44
• 4x+3=44
Write the fractions in order from least to greatest.
8/9, 22/50, 12/13
Answer:
22/50, 12/13, 8/9
Step-by-step explanation:
Given ADEF: ARST, find the scale factor
Answer:
the scale factor is 3/4
x = 16×3/4 = 12
Step-by-step explanation:
the only side length we have for both triangles is the short left side.
we see that we get ED from SR and need to transform 4 into 3. how do we do that ?
well,
4×f = 3
f = 3/4
that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).
therefore,
x = EF = ST×f = 16×3/4 = 4×3 = 12
Answer:
The scale factor is 4/3 and x is 12
Step-by-step explanation:
→ Divide RS by DE
4 ÷ 3 = 4/3
→ Divide the answer by 16
16 ÷ 4/3 = 12
Y (4)
+4y ′′
+4y=0 A general solution with x as the independent variable is y(x)=
Answer:
Step-by-step explanation:
We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.
For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,
y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0
(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.
Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get
yp″=a1+2a2x....yp‴=2a2+3a3x+....
Substituting the general solution into the non-homogeneous equation, we get
a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)
So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:
a(n+1)=Y(n-2)/n^2
From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.
Without using models explain why 2 tenths times 3 tenths is equal to 6 hundredths. Use place value in your explanation
Answer:
0.2(2 tenths) times 0.3(3 tenths) = 0.06
Step-by-step explanation:
2 times 3 equals 6.
The 6 would have a 0 before it because you are using multiplication. If you were using addition, it would be 0.5(5 tenths) since you are adding tenths.
What is the Y intercept of this line?
Teresa’s age is 5 years more than twice Ben’s age.
If Ben is x years old, the expression gives the sum of Ben’s and Teresa’s ages.
If Ben is 7 years old, the sum of Ben’s and Teresa’s ages is years.
Answer:
The first answer is 2x + 5
The second answer is 19
What is the volume of the figure below?
Answer: 270 cubic centimeters
Step-by-step explanation:
bh/3 is the formula so...
because it's a right triangle we multiply the legs together:
9*12 = 108
and we divide by 2
108/2 = 54
height is 15
(15*54)/3 = 810/3 = 270
Our answer is 270 cubic centimeters.