please solve the question in the picture
Answer with a step-by-step explanation:
Let us write answers to the questions using the given Venn diagram
1) 4 students
2) 3 students
3) 3 students
4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)
- More explanation is attached to the picture -
Find the area of the figure.
Answer:
36.3 units²
Step-by-step explanation:
Area of a trapezoid = A = ((a+b)/2)h = \(\frac{a+b}{2}\)h
a = 4
b = 1.5+7=8.5
solve for h using pythagorean theorem:
1.5² + h² = 6²
h² = 36 - 2.25 = 33.75
h = \(\sqrt{33.75}\) = 5.81
A = \(\frac{4+8.5}{2}\)(5.81) = 36.3125
Julie had $237 to spend. She returned a calculator and received a $128 refund. She then bought a chair for $62. How much money in dollars and cents did Julie have to spend after buying the chair?please I need help
Julie will have $303 to spend after buying the chair
How to calculate the amount of dollar left ?
Julie has $237 to spend
She returns a calculator and gets a refund of $128
She then bought a chair of $62
Therefore the amount left to spend after buying the chair can be calculated as follows
(237 + 128) - 62
= 365 - 62
= 303
Hence Julie has $303 left to spend
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carlos montado was born on saturday, november $9$, $2002$. on what day of the week will carlos be $706$ days old? (spell out the entire day of the week.)
When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.
Given,
Carlos born on November 9 2002 which was Saturday
We know,
1 week = 7 days
100 week = 700 days
The 700th day will be Saturday. because the days will repeat every 7 days
707th day will be Saturday, therefore
706th day will be Friday
Hence, When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.
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Find the value of x in the figure.
Fill in the table of values using the equation y=5/2x+3
Answer:
x = -2/5
i think
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB = 2(m∠CEA) ∠CEF is a straight angle. ∠AEF is a right angle.
Answer:
mCEA = 90ᴼ because CEA is a right angle, and right angles have 90ᴼ measures.
CEF is a straight angle because there are two 90ᴼ angles (CEA and AEF) and therefore there is 180ᴼ in total. A straight line has a measure of 180ᴼ.
AEF is a right angle because if CEA is a right angle and CEF is a straight line, then AEF has to be a right angle.
The three statements that must be true are:
m∠CEA = 90°
∠CEF is a straight angle
∠AEF is a right angle.
Let's analyze each of the given options using the information given to us and determine whether they are true or not:
Statement 1: m∠CEA = 90°The small rectangular sign-shape included in the diagram is used to indicate that a right angle which is 90°.
Therefore, the statement, "m∠CEA = 90°" is TRUE.
Statement 2: m∠CEF = m∠CEA + m∠BEFThis is FALSE.
m<CEF = m<CEA + AEF NOT m∠CEF = m∠CEA + m∠BEF.
Statement 3: "m∠CEB = 2(m∠CEA)"This is also FALSE because,
m<CEB is half of m<CEA since ray EB bisects <CEA.
Statement 4: "∠CEF is a straight angle."This is TRUE, because,
m<CEF = m<CEA + m<AEF = 180° (straight line angle = 180°)
Statement 5: "∠AEF is a right angle."This is also TRUE because,
m<AEF = 90°
A right angle = 90°
Therefore, the statements that must be TRUE considering the information given to us are:m∠CEA = 90°
∠CEF is a straight angle
∠AEF is a right angle.
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Which statement about f(x) =x2 + 16x + 3 is true?
Answer:
The answer is D
Step-by-step explanation:
I am very sure that the correct answer.:)
It’s sad when I help people because they don’t do the same thing to so please please please... answer me once :((((((((((((((((((((((((((((((((((((((((((((((
Step-by-step explanation:
Equation = 4m=16
Answer= 4m=16
m=16/4 = 4
So Tyrone has 4 model planes.
Don't know if its correct
In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answer:
Step-by-step explanation:
In a group of 48 pupils, 9 play the flute only. 12 play the piano only. 14 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
P(F U P) = P(F) + P(P) - P(F n P)
Mrs. Webster wants to divide 6 pints into 1/3 pints servings. How many servings are possible
Answer:
18 servings
Step-by-step explanation:
6*3=18
Solve the system using the substitution method.
y = 5x-11
y=x+5
The solution is ( , )
Answer: For the first one: x= y+11/5
For the second one x=y−5
Step-by-step explanation: For more help, use the the online microsoft algebra calculator
The sum of four odd integers is 28, 458, 968. What is the second number
x + (x + 2) + (x + 4) + (x + 6) = 28458968
x + x + 2 + x + 4 + x + 6 = 2
The table below gives the dimensions of the statue and a scale drawing of the statue.
Find the scale factor of the drawing to the real statue.
Write your answer as a fraction in simplest form.
The table below gives the dimensions of the statue and a scale drawing of the statue. The scale factor of the drawing to the real statue is 1:7.
If two figures are similar, we can use the scale factor to relate different characteristics of the figures. The scale factor is a proportional measure to the original figure.
Using a scale factor, only similar figures can be compared. We know that similar figures are proportionate, and the scale factor is the constant of proportionality of distinct dimensions in linear form such as length, height, width, perimeter, and so on.
To find the scale factor, we will divide the height in drawing to statute.
Height in drawing = 9 in
Height in statute = 63 in
Scale factor = 9 : 63
Converting it into lowest fraction, it will be 1: 7.
We can check the same for length
Length in drawing = 6 in
Length in statute = 42 in
Scale factor = 6 : 42
= 1 :7
Hence, the scale factor is 1:7.
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Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10) and now let A = {xe U x is even}, B = {xe U14 divides x}, C = {xe Ulif x/8, then x is even}, D= {xe U x ≥2} and E = {x €U|4|x²}. a) Express each of these sets, A, B, C, D and E, using the roster method. b) Find all possible proper subset and set equality relations among these sets.
Using the roster method, we can represent sets A, B, C, D, and E as follows: A = {2, 4, 6, 8, 10}, B = {14, 28, 42, 56, 70, 84, 98}, C = {8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96}, D = {2, 3, 4, 5, 6, 7, 8, 9, 10} and E = {4, 8}
b) Possible proper subset and set equality relations among these sets are as follows:
1. A is a proper subset of D because all the elements of A are also in D, but D also contains elements that are not in A.
2. B is a proper subset of D because all the elements of B are also in D, but D also contains elements that are not in B.
3. C is a proper subset of A because all the elements of C are also in A, but A also contains elements that are not in C.
4. E is a proper subset of A because all the elements of E are also in A, but A also contains elements that are not in E.
5. E is a proper subset of C because all the elements of E are also in C, but C also contains elements that are not in E.
6. A and C are not equal sets because A contains elements that are not in C, and C contains elements that are not in A.
7. D is a universal set because it contains all the elements in the set U, and therefore it is a proper superset of A, B, C, and E.
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Last week, an information centre had 950 visitors. This week it had 1026 visitors. What is the percentage increase?
Answer:
8%
Step-by-step explanation:
Find the percent increase by dividing the difference in visitors by the original amount, then multiply it by 100
(76/950) x 100
= 8
So, the percent increase is 8%
when the spring is stretched and the distance from point a to point b is 5.3 feet, what is the value of θ to the nearest tenth of a degree?
a. 60.0
b. 35.2
c. 45.1
d. 55.5
When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13 degrees
The distance between point a to point b = 5.3 feet
The length of the top side = 3 feet
Therefore, it will form a right triangle
Here we have to use trigonometric function
Here adjacent side and the hypotenuse of the triangle is given
The trigonometric function that suitable for the given conditions is
cos θ = Adjacent side / Hypotenuse
Substitute the values in the equation
cos θ = 3 / 5
θ = cos^-1(3 / 5)
θ = cos^-1(0.6)
θ = 53.13 degrees
Therefore, the value of θ is 53.13 degrees
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Scalar and Matrix Multiplication
Answer:
multiply -4 by each element in the matrix
Step-by-step explanation:
-32
4
20
-36
Granma bought a dozen winter lollipops. The lollipops cost $12 for 24 lollipops. She also buys three winter cakes that cost $28 each. How much money did she spend?
Answer:
108 dollars
Step-by-step explanation:
Cause first you have to find the unit rate of one lollipop which is 2 and then multiply that by a dozen which is 12 and you add that to the product of 3 times 24 which is 84 and 84 plus 24 gives you 108 and then you put the unit on it dollars so 108 dollars
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Answer:
x = 2
Step-by-step explanation:
Firstly, calculate the area of the rectangle with the formula:
Length x width = area
(x+6) * 3 = 3x + 18
The formula for the area of a triangle is:
\(\frac{1}{2} * b * h\)
We can plug the known variables into the equation and get:
\(\frac{1}{2} * 8 * (x+4)\)
4 * (x + 4)
4(x + 4)
4x + 16
As the two areas are the same:
4x + 16 = 3x + 18
Subtract 3x from both sides of the equation:
4x + 16 - 3x = 3x + 18 - 3x
x + 16 = 18
Subtract 16 from both sides of the equation:
x + 16 - 16 = 18 - 16
x = 2
Hope this helps!
51. The optimistic time for completion of Activity " \( X \) " on a PERT chart was 6 hours, the most likely time was for this same activity was 9 hours and the pessimistic time was 12 hours. Using the
The expected time for completion of Activity "X" on a PERT chart is 9 hours.
PERT analysis is a project management technique that is used to evaluate and analyze the tasks involved in finishing a project. It makes use of 3 duration estimates: optimistic, pessimistic, and most likely times to calculate the expected duration of each activity. These estimates are used to analyze the critical path, slack time, and schedule of the project.
Let's calculate the expected time for completion of Activity "X" on a PERT chart using the given estimates:
Optimistic time (O) = 6 hours
Most likely time (M) = 9 hours
Pessimistic time (P) = 12 hours
Expected time (TE) = [O + 4M + P] ÷ 6= [6 + 4(9) + 12] ÷ 6= [6 + 36 + 12] ÷ 6= 54 ÷ 6= 9
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In the diagram below, AB || CD, AD || BC, m ABC = 106°, mZVEE = 36° and mCCB= 42°. Find m DEC.
Answer:
wheres the diagram
Step-by-step explanation:
Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth. *
o 11
o 7.8
o 61
o 14.9
What is the solution to the system of equations?
4x-5y=-2
X=15-4y
34. This is because you can just use a calculator
Please help. I know it’s long but I will literally do anything. Please
The slope and y - intercept of the line of best fit are 1.22 and -0.09 respectively.
What is the slope of the line of best fita.
To fill the table of the residuals, we can approach it as;
residual = food waste - number of people.
3.2 - 2 = 1.4
2.5 - 3 = -0.5
8.9 - 4 = 49
4.7 - 4 = 0.7
3.5 - 4 = -0.5
4 - 4 = 0
5.3 - 5 = 0.3
4.6 - 5 = -0.4
7.8 - 5 = 2.8
3.2 - 6 = -2.8
12 - 8 = 4
b.
The equation is given as;
y = 1.22x - 0.09
The slope of the line of best fit is 1.22
c.
The y - intercept is given as -0.99
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(0, 0) and (5, 2) are on the line
point slope form
Answer:
Slope is 2/5
Step-by-step explanation:
7. The quality control division of Rothschild's Blueberry Farm randomly inspects 100 of the containers in the truck being
sent to Stop and Shop. Identify the population and sample given in this scenario.
The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.
Population: The containers of blueberries that are being sent to Stop and Shop.
Sample: The 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.
Therefore, the 100 containers that the quality control division of Rothschild's Blueberry Farm randomly inspects.
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. Assume that the annual percentage rate increases by 5%, 10%, 20%, 40%, and 60%. [30 marks] a. Calculate the approximate doubling time (Dappx) b. Calculate the exact doubling time (Dexact) c. Calculate the percentage error in calculating the doubling time for each case.
a) Approximate Doubling Time Dappx = 70/r, where r is the annual interest rate in percentage terms.Assuming that r = 5%, 10%, 20%, 40%, and 60%Doubling time for 5% = 70/5 = 14 yearsDoubling time for 10% = 70/10 = 7 yearsDoubling time for 20% = 70/20 = 3.5 yearsDoubling time for 40% = 70/40 = 1.75 yearsDoubling time for 60% = 70/60 = 1.1667 yearsb) Exact Doubling Time Dexact = ln2/r where r is the annual interest rate in decimal terms.
Assuming that r = 5%, 10%, 20%, 40%, and 60%For 5%: ln2/0.05 ≈ 13.86 yearsFor 10%: ln2/0.1 ≈ 6.93 yearsFor 20%: ln2/0.2 ≈ 3.47 yearsFor 40%: ln2/0.4 ≈ 1.73 yearsFor 60%: ln2/0.6 ≈ 1.16 yearsc)
The percentage error is given by:(Dexact − Dappx)/Dexact × 100%For 5%: (13.86 - 14)/13.86 x 100% ≈ 1.18%For 10%: (6.93 - 7)/6.93 x 100%
≈ 1.15%For 20%: (3.47 - 3.5)/3.47 x 100%
≈ -0.86%For 40%: (1.73 - 1.75)/1.73 x 100%
≈ -1.15%For 60%: (1.16 - 1.1667)/1.16 x 100%
≈ -0.60%Note that the percentage error is small for lower values of interest rates but increases as the interest rate increases.
Also, the percentage error is negative for 20%, 40%, and 60%, which means that the approximate doubling time is actually larger than the exact doubling time.
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How do you write a homogeneous system in parametric vector form?
A homogeneous system in parametric vector form:
(x1,x2,x3) = (s,s,-0.25s)
Parametric vector Form:
Any equation expressed as a parameter is a parametric equation. The general equation y = mx + b (where m and b are parameters) of a straight line in the form of a slope intersection is an example of a parametric equation. Example: one of the variables to t(x = t). Then we can rewrite this equation as y = t²+5.
So the set of parametric equations is x = t and y=t²+5.
According to the Question:
We are to solve them in parametric form.
X₁ + 2X₂ + 12X₃ = 0 ----------------------- (1)
2X₁ + X₂ + 12X₃ = 0 ----------------------- (2)
-X₁ + X₂ = 0 ----------------------- (3)
From equation 3 we get
x₁ = x₂
Substitute in 1 and 2 to get
3x₁ + 12x₃ = 0 and
3x₁ + 12x₃ = 0
Thus, we find these two equations are dependent. So we can have infinite solutions in parametric form only.
No unique solution is possible
Let x₁ = x₂ = s
Since 3x₁ +12x₃ = 0
x₁ = -4x₃
Or x₃ = -0.25s
So solution in parametric form is
(x1,x2,x3) = (s,s,-0.25s) for all real values.
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Which expression is equivalent to –8?
–2–3
(Negative one-half) Superscript negative 3
(one-half) Superscript negative 3
2–3
Answer:
2, - 3
Step-by-step explanation:
Expression equivalent to - 8
Answer:
d
Step-by-step explanation: