Based on the fact that town is 2 miles away, the time it took Trinity to travel to town and back was 33 minutes
How long did Trinity travel?The time taken can be found as:
= Distance / Speed
Trinity's trip to town took:
= 2 / 4
= 0.5 hours
Trinity's trip back took:
= 2 / 40
= 0.05 hours
The total time it took Trinity to travel to and from town was:
= (0.5 + 0.05) x 60 minutes per hour
= 0.55 hours x 60
= 33 minutes
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Please help my Friends are asking me what the answer is but I don’t know also I accidentally clicked one of the answers not that one I don’t think An elevation of -15 ft is lower than an elevation of
-9 ft. An elevation of -9 ft is higher than an elevation
of -11 ft.
Which set of inequalities expressions these relationships
Answer:
........................
60% of 68 is what number? Choose the correct percent proportion to
represent the situation.
Answer:
40.8
Step-by-step explanation:
60% = 60/100
60/100 * 68
4080/100
40.8
Answer:
40.8
Step-by-step explanation:
d/68=60/100
60×68=4080
d×100=100d
4080=100d
4080÷100=40.8
100d÷100=d
d=40.8
hope this helps
5
Uncle Drew scored 28 points in 5 minutes during a game of basketball.
5
How many points did he average per minute during that 5 minutes?
Answer:
I think its 5.6
Step-by-step explanation:
Well I divided 28 by 5 and got 5.6.
solve the system of equations.
Answer:
y=3, x=-1
Step-by-step explanation:
(2x+3y)-(2x-y)=7-(-5)
4y=12
y=3
2x+3y=7
2x=7-9
x=-1
PLS GIVE BRAINLIEST
Hi, how to do question 10:)?
Step-by-step explanation:
For the cubic function to be an increasing function, dy/dx > 0 for all real values of x.
dy/dx
= d/dx [4x³ + 4px² + 16x - 9]
= 12x² + 8px + 16.
We have 12x² + 8px + 16 > 0.
=> 3x² + 2px + 4 > 0,
where a = 3, b = 2p and c = 4.
For the quadratic function to have a range that is always positive, the discriminant must be less than 0.
(in order to have no real roots)
We have b² - 4ac < 0.
=> (2p)² - 4(3)(4) < 0
=> 4p² - 48 < 0
=> p² - 12 < 0
=> p² < 12
=> -√12 < p < √12
=> -2√3 < p < 2√3.
That was a very long process but hopefully you understand all of it!
Combine like terms to create an equivalent expression. 1/7 - 3 (3/7n - 2/7)
Answer:
-2 6/7 (3/7n - 2/7)
Step-by-step explanation:
holiii necesito saber 5 divisiones que el resultado sea 300
Aaron made a picture frame with the dimensions shown in the figure. What is the area of the picture frame? A bigger outer rectangle has sides of 12 cm and 10 cm, and an inner rectangle has sides of 8 cm and 6 cm. A. 120 square centimeters B. 88 square centimeters C. 72 square centimeters D. 64 square centimeters
The area of the picture frame 72 cm². Therefore, option C is the correct answer.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Given that, a bigger outer rectangle has sides of 12 cm and 10 cm.
So, the area of a outer rectangle = 12×10
= 120 cm²
An inner rectangle has sides of 8 cm and 6 cm
The area of a inner rectangle = 8×6
= 48 cm²
The area of the picture frame = 120-48
= 72 cm²
Therefore, option C is the correct answer.
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Answer: C | 72 square centimeters
Step-by-step explanation:
The answer is C. 72 square centimeters. The area of the picture frame can be found by subtracting the area of the inner rectangle from the area of the outer rectangle. The area of the outer rectangle is 120 square centimeters (12 x 10). The area of the inner rectangle is 48 square centimeters (8 x 6). Therefore, the area of the picture frame is 120 - 48 = 72 square centimeters.
6. if p(a∪b)=0.8, p(a∩b')=0.3, and p(b∩a')=0.2, determine following probabilities. 6-a. p(a∪b)' 6-b. p(a∩b) 6-c. p(a) 6-d. p(b) 6-e. p(b')
Probability is a measure of the likelihood of an event to occur. If p(a∪b)=0.8, p(a∩b')=0.3, and p(b∩a')=0.2 then 6-a. p(a∪b)'=0.2, 6-b. p(a∩b) = 0, 6-c. p(a) = 0.3 6-d. p(b) =0.2, 6-e. p(b') =0.8.
Using De Morgan's laws and the formula for the probability of the union of two events to solve these problems.
Let A' denote the complement of event A.
6-a. We have:
p(A∪B)' = 1 - p(A∪B)
Since A and B are not necessarily disjoint, we can use the formula:
p(A∪B) = p(A) + p(B) - p(A∩B)
Substituting the given values, we get:
p(A∪B) = p(A) + p(B) - 0.3 = 0.8
We don't know the values of p(A) and p(B) individually, so we can't calculate p(A∪B) directly. However, we can use the formula for the complement and the values we already have:
p(A∪B)' = 1 - p(A∪B) = 1 - 0.8 = 0.2
Therefore, p(A∪B)' = 0.2.
6-b. We are given that p(A∩B') = 0.3. Using De Morgan's laws, we can rewrite this as:
p((A')∪B) = 0.3
Now, we can use the formula for the probability of the union of two events to get:
p(A') + p(B) - p(A'∩B) = 0.3
Since A and B are linearly independent, we know that A' and B are also linearly independent. Therefore, A'∩B = {0}, the zero vector. So we have:
p(A') + p(B) = 0.3
We also know that p(B∩A') = 0.2. Again using De Morgan's laws, we can rewrite this as:
p((B')∪A) = 0.2
Using the formula for the probability of the union, we get:
p(B') + p(A) - p(B'∩A) = 0.2
Since A and B are linearly independent, we know that B' and A are also linearly independent. Therefore, B'∩A = {0}. So we have:
p(B') + p(A) = 0.2
Now we have two equations with two unknowns. Solving for p(A) and p(B), we get:
p(A) = 0.4
p(B) = 0.1
Therefore, p(A∩B) = p({0}) = 0.
6-c. We have:
p(A) = p(A∩B) + p(A∩B') = 0 + 0.3 = 0.3
Therefore, p(A) = 0.3.
6-d. We have:
p(B) = p(A∩B) + p(B∩A') = 0 + 0.2 = 0.2
Therefore, p(B) = 0.2.
6-e. We have:
p(B') = 1 - p(B) = 1 - 0.2 = 0.8
Therefore, p(B') = 0.8.
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W24 x 55 (Ix = 1350 in ) is selected for a 21 ft simple span to support a total service live load of 3 k/ft (including beam weight). Use E = 29000 ksi. Is the center line deflection of this section satisfactory for the service live load if the maximum permissible value is 1/360 of the span?
The center line deflection of the section is 0.0513 ft. As per the maximum permissible center line deflection of 0.0583 ft, the center line deflection of this section is satisfactory for the service live load.
W24 x 55 (Ix = 1350 in ) is selected for a 21 ft simple span to support a total service live load of 3 k/ft (including beam weight).
Use E = 29000 ksi.
The maximum permissible value of center line deflection is 1/360 of the span.
The maximum permissible center line deflection can be computed as;
\($$\Delta_{max} = \frac{L}{360}$$\)
Where, \($$L = 21\ ft$$\)
The maximum permissible center line deflection can be computed as;
\($$\Delta_{max} = \frac{21\ ft}{360}$$$$\Delta_{max} = 0.0583\ ft$$\)
The total service live load is 3 k/ft. So, the total load on the beam is;
\($$W = \text{Load} \times L
= 3\ \text{k/ft} \times 21\ \text{ft}
= 63\ \text{k}$$\)
The moment of inertia for the section is;
\($$I_x = 1350\ in^4$$$$= 1.491 \times 10^{-3} \ ft^4$$\)
The moment of inertia can be converted to the moment of inertia in SI units as follows;
\($$I_x = 1.491 \times 10^{-3} \ ft^4$$$$= 0.0015092 \ \text{m}^4$$$$\Delta_{CL} = 0.0513\ ft$$\)
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I need to know the answer plzzzz
Answer:
your answer will be B. y = | x+4 | - 2
Step-by-step explanation:
hope it helps you
have a nice day!!
Answer:
its i either c or b but i would chose C.
Step-by-step explanation:
A solid square pyramid has a mass of 750 g. It is made of a material with a
density of 8.05 g/cm'. Given that the height of the pyramid is 13.5 cm, find the
length of its square base.
Answer:
4.55cmStep-by-step explanation:
The unit of a volume: \(cm^3\)
The unit of a density: \(\dfrac{g}{cm^3}\)
The density is \(\dfrac{mass}{volume}\)
Substitute:
\(\dfrac{8.05g}{cm^3}=\dfrac{750g}{V}\)
cross multiply
\(8.05gV=750gcm^3\)
divide both sides by 8.05g
\(V\approx93.17cm^3\)
The formula of a volume of a square pyramid:
\(V=\dfrac{1}{3}a^2H\)
a - length of square base
H - height of a pyramid
We have:
\(V=93.17cm^3;\ H=13.5cm\)
Substitute:
\(93.17=\dfrac{1}{3}a^2(13.5)\)
multiply both sides by 3
\(279.51=13.5H\)
\(297.51=13.5a^2\)
divide both sides by 13.5
\(a^2\approx20.7\to a=\sqrt{20.7}\approx4.55(cm)\)
Answer:
Step-by-step explanation:
volume of pyramid=1/3×base area×height
let the length of base=x
base area=x²
volume V=1/3×x²×13.5=4.5 x²
mass=volume×density
750=4.5 x²×8.05=36.225 x²
x²=750/36.225
x=√(750/36.225)≈4.55 cm
how many time does 13 go into 26
Answer:
2
Step-by-step explanation:
13+13=26
Answer:
Twice
Step-by-step explanation:
13+13=26
y = 1/2x + 11
Slope =
y-Int =
In an arithmetic sequence, a_(4)=19 and a_(7)=31. Determine a formula for a_(n), the n^(th ) term of this sequence.
To determine a formula for the n-th term of an arithmetic sequence, we need to find the common difference (d) first.
The common difference is the constant value that is added or subtracted to each term to get to the next term.
In this case, we can find the common difference by subtracting the fourth term from the seventh term:
d = a₇ - a₄
d = 31 - 19
d = 12
Now that we have the common difference, we can use it to find the formula for the n-th term of the arithmetic sequence. The formula is given by:
aₙ = a₁ + (n - 1)d
In this formula, aₙ represents the n-th term, a₁ represents the first term, n represents the position of the term, and d represents the common difference.
Since we don't have the first term (a₁) given in the problem, we can find it by substituting the known values for a₄ and d:
a₄ = a₁ + (4 - 1)d
19 = a₁ + 3(12)
19 = a₁ + 36
a₁ = 19 - 36
a₁ = -17
Now we can substitute the values of a₁ and d into the formula to get the final formula for the n-th term:
aₙ = -17 + (n - 1)(12)
Therefore, the formula for the n-th term (aₙ) of the given arithmetic sequence is aₙ = -17 + 12(n - 1).
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PLEASE HELP!!!!!!!!! It’s algebra
Answer:
See below
Step-by-step explanation:
From 5 to 10 mugs is 5 mugs
These cost 110 - 67.50 = 42.50
So each mug costs 42.50 / 5 = 8.50 each
With a 'base cost' of 25 dollars
(Base cost might be artwork, design, order processing, shipping or whatever.....but this amount is added to each order)
(As a check 20 mugs would be 25 + 20 (8.50) = 195 <====yep
150 mugs will then be 25 + 150 ( 8.50) = 1300 dollars
BX−→− bisects ∠ABC. If m∠XBC = 62°, what is the measure of ∠ABC?
Answers
31∘
62∘
124∘
93∘
Answer:
93
Step-by-step explanation:
The measure of ∠ABC is 124°, given that BX is an angle bisector to ∠ABC, and ∠XBC = 62°. Hence, 3rd option is the right choice.
What is an angle bisector?A ray, segment, or line that splits a given angle into two equal angles is known as an angle bisector. When something is bisected, it is split into two equal sections. In geometry, an angle bisector is a line or ray that divides a triangle into two equal angles.
How to solve the question?In the question, we are given that BX bisects ∠ABC, and are asked if the measure of ∠ABC is ∠XBC = 62°.
We assume the measure of ∠ABC to be x°.
As BX bisects ∠ABC, that is, BX is an angle bisector to ∠ABC, we know that ∠XBC = ∠XBA = 1/2 of ∠ABC = 1/2 of x° = (x/2)°.
Thus, ∠XBC = (x/2)°,
or, 62° = (x/2)°,
or, x = 62*2° = 124°.
Thus, the measure of ∠ABC is 124°, given that BX is an angle bisector to ∠ABC, and ∠XBC = 62°. Hence, 3rd option is the right choice.
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suppose you want to estimate the population mean with 99% confidence with a margin of error of 2.5. if the estimate of the population standard deviation is 11, what sample size is required?
Factor each completely and show your work.
2x^2 + 11y + 5
PLS HELP ASAP!!!!!
I BEG!!!!
Answer:
A
Step-by-step explanation
The circle is filled in which means that -10 is included. and it is going to the right which means it is greater than -10. Hope this helps!
What is 176 cm in feet ?
176 centimeters is equivalent to 5.77 feet. both are unit of measurement of length.
To convert centimeters to feet, you can use the conversion factor of 0.0328084. Multiply the number of centimeters by 0.0328084 to get the number of feet. In this case, 176 centimeters multiplied by 0.0328084 is equal to 5.77 feet.
Centimeters and millimeters are widely used in the rest of the world, while feet and inches are mostly used in the United States and United Kingdom. This conversion is common when measuring height or length, such as in construction or architecture, where precision is important.
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1. Susan completed her journey of running in 10 minutes. If she ran 85 miles, how many
minutes did she run in one minute?
Answer:
850 this what I think it is
Step-by-step explanation:
that's what I think I don't know if that's the right answer
Answer:
8.5
Step-by-step explanation:
divide 10 by 10 to get to 1
divide 85 by 10 and u get 8.5
1=8.5
4(x + 2) > 6Please help me:(
We are given the following inequality
\(4\left(x+2\right)>6\)Let us solve the inequality to find the value of x.
Step 1: open the brackets
\(\begin{gathered} 4\left(x+2\right)>6 \\ 4x+8>6 \end{gathered}\)Step 2: subtract 8 from both sides
\(\begin{gathered} 4x+8-8>6-8 \\ 4x>-2 \end{gathered}\)Step 3: divide both side by 4
\(\begin{gathered} \frac{4x}{4}>\frac{-2}{4} \\ x>\frac{-1}{2} \end{gathered}\)Therefore, the value of x is greater than -1/2 that is (x > -1/2)
slope:
y-intercept:
HELP
Answer:
Slope: 1
Y-intercept: -1
Step-by-step explanation:
The line touches the y-axis at -1, and using rise over run for the slope, it would be 1, since you go up 1 unit and move to the right 1 unit. 1/1 which is our rise/run would be 1 and that would make the slope 1.
I hope it helps! Have a great day!
bren~
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?
When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.
What are scatterplots?A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.
Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlationA weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.
Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.
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Kimberly needs $45 to go to the amusement park. She has $13. She earns $8 per hour working at her job. The equation 8h + 13 = 45 shows this relationship. How many hours does Kimberly need to work to earn enough money to go to the park?
Answer:
Step-by-step explanation:
Given equation is 8h + 13 = 45
Where h is number of hour
So 8h=45-13
8h =32
h= 4 hour is the answer
(Chapter 13) The curve r(t)= <0, t^2, 4t> is a parabola
We can see that the first component of the vector equation is always zero, so the parabola lies in the xz-plane.
Moreover, the second component is a quadratic function of t, which gives us a vertical parabola when plotted in the yz-plane. The third component is a linear function of t, so the curve extends infinitely in both directions. Therefore, we have a vertical parabola in the xz-plane.
This statement is referring to a specific vector-valued function, which we can write as:
f(t) = (0, t^2, ct)
where c is a constant.
The second component of this vector function is t^2, which is a quadratic function of t. When we plot this function in the yz-plane (i.e., we plot y = t^2 and z = 0), we get a vertical parabola that opens upward. This is because as t increases, the value of t^2 increases more and more quickly, causing the curve to curve upward.
The third component of the vector function is ct, which is a linear function of t. When we plot this function in the xz-plane (i.e., we plot x = 0 and z = ct), we get a straight line that extends infinitely in both directions. This is because as t increases or decreases, the value of ct increases or decreases proportionally, causing the line to extend infinitely in both directions.
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Write an expression for the calculation double the product of 5 and 9.
Answer:
2 (5×9)
Step-by-step explanation:
the product of 5 and 9 is DOUBLED. so the calculation will be 2 times 5×9
Which fraction could represent a Point on the number line?
�
3/4
6/6
9/2
FOR 22 PTS PLS
Answer:
6/6 = 1
Step-by-step explanation:
All of these number can be put on a number line. I think that you might be asking which number is a whole number. 6/6 is equal to 1.
3/4: If you divided the section of a number line between 0 and 1 into 4 sections, 3/4 would be 3 of the 4 sections closer to 1.
9/2: This can also be represented by 4 1/2. It would be half ways between 4 and 5 on a number line with whole numbers.
Helping in the name of Jesus.
You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation: