We have to convert this angle measure from radians to degrees.
To do that we take into account that π radians is equivalent to 180°.
So we can convert the measure from radians to degrees by multiplying by the factor (180°/π).
Then, if the angle is 7π/11, we can express it in degrees as:
\(\frac{7\pi}{11}\cdot(\frac{180\degree}{\pi})=\frac{7\cdot180\degree}{11}\approx114.55\degree\)NOTE: to convert from degrees to radians, we use the same factor but inverted: we multiply by π/180.
Answer: 114.55°
The pH scale measures the acidity of a liquid as a function of its hydrogen ion
(H+) concentration.
pH = -log[H+]
How does the H+concentration of a solution with a pH of 4 compare with
that with a pH of 2?
O A. The H+ concentration in a solution with a pH of 4 is 0.1 times that
of a solution with a pH of 2.
O B. The + concentration in a solution with a pH of 4 is 0.01 times
that of a solution with a pH of 2.
C. The H+ concentration in a solution with a pH of 4 is 100 times
that of a solution with a pH of 2.
D. The + concentration in a solution with a pH of 4 is 10 times that
of a solution with a pH of 2.
Therefore, the H attention in a result with a pH of 4 is0.01 times that of a result with a pH of 2. So, the answer is B.
What's ph.?pH is a measure of the acidity or stipulation(alkalinity) of a result. It's a logarithmic scale that measures the attention of hydrogen ions(H) in a result. The pH scale ranges from 0 to 14, where 0 is the most acidic, 7 is neutral, and 14 is the utmost introductory.
Given by the question.
According to the pH formula, pH = -log[H+], we can rearrange the equation to solve for [H+]:
[H+] = \(10^{(-ph)}\)
Substituting pH = 4 and pH = 2 into this equation, we get:
[H+] at pH 4 = \(10^{(-4)}\) = 0.0001 M
[H+] at pH 2 = \(10^{(-2)}\) = 0.01 M
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Answer:
B
Step-by-step explanation:
The pH scale is a logarithmic scale that measures the concentration of hydrogen ions (H+) in a solution. A decrease of one pH unit corresponds to a tenfold increase in the concentration of hydrogen ions.Using the pH formula pH = -log[H+], we can solve for the concentration of hydrogen ions in a solution with a pH of 4 and a pH of 2.For a solution with a pH of 4:pH = -log[H+]
4 = -log[H+]
log[H+] = -4
[H+] = 10^-4 = 0.0001 moles/literFor a solution with a pH of 2:pH = -log[H+]
2 = -log[H+]
log[H+] = -2
[H+] = 10^-2 = 0.01 moles/literSo, the [H+] concentration of a solution with a pH of 4 is 100 times less than that of a solution with a pH of 2. In other words, a solution with a pH of 2 is 100 times more acidic than a solution with a pH of 4.
What is the value of this expression when h= -2 and g = 5?
242 +9
Answer:
B
Step-by-step explanation:
the g is not in the root, solve everything in the root separately and then add g to it
Which expression has a value of 0? Please help guys
Answer:
(28 ÷ (-4)) + 7
Step-by-step explanation:
(28 ÷ (-4)) + 7 → -7 + 7 = 0
Answer:
(28 divided by (-4)) + 7
Step-by-step explanation:
The two figures shown are congruent. Which statement is true?
Answer:reflection image of the other
Source:trust me bro
In triangle ABC, AB = 6, BC = 8, and angle ABC = 90 degrees. Find the area of triangle ABC.
Answer:
24
Step-by-step explanation:
The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.
6 x 8 = 48
48 / 2 = 24
helppppp ahhhh!!
At the library there is a four hour span of time to use a computer. The time slots are 1/3 hour long. How many time slots are there?
Step-by-step explanation:
\( \frac{4 \: hours}{computer} \times \frac{1 \: slot}{ \frac{1}{3} hour } = 12 \: \frac{slots}{computer} \)
A family is planning their vacation to Disney World. They will drive from a small town outside New Orleans,
Louisiana, to Orlando, Florida, a distance of 700 miles. They plan to average a rate of 55 mph. How long will this
trip take?
The time taken for the trip will be 12.7 hours.
How to calculate the value?It should be noted that time taken is calculated as:
Time = Distance / Speed
Distance = 700 miles
Speed = 55 mph
Time = 700/55
Time = 12.7 hours.
Therefore, the time taken for the trip will be 12.7 hours.
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Please answer this question for me
The given two triangles are similar to each other by the postulate called SAS.
What is triangle ?
Triangle can be defined as in which it consists of three sides, three angles and sum of the three angles are 180 degrees always.
Given,
The triangles are RST and UVT
So
From the given figure we can say that,
RT = TU
RS = VU
As two sides are already equal and vertically opposite angles are always equal .
so we can say that By postulates SAS we can say that they are similar to each other.
Hence, The given two triangles are similar to each other by the postulate called SAS.
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three statements that are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² .......equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
Based on the information provided, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
By comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x - 0)² + (y - 0)² = 3²
x² + y² = 9.
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A marching band needs to raise $13,500 for a trip to the Rose Bowl. The director told the band members that one-third of the amount that has been raised so far is equal to half of the amount that is still needed. How much more money needs to be raised for the trip?
Answer: $5400
Step-by-step explanation:
x = amount raised so far
13500 - x = amt. still needed
x/3 = (13500 - x)/2
2x = 3(13500 - x)
2x = 40500 - 3x
5x = 40500
x = 40500/5 = 8100 (amt. raised so far)
13500 - 8100 = 5400 (amt. still needed)
Which statement about the polynomial function g(x) is true?
Answer:
If all rational roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1. If all roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.
Which is NOT equivalent to (x^4 )^3 ?
A) x^12
B) (x^4)(x^8)
C) (x^3)^4
D) (x^6)(x^2)
Urgent!!!!!
Help guys I need to answer the questions a. b. c. d. e.
I would appreciate it.
a. The concentration would be 0.5 mg/L at approximately t = 40 hours.
b. The table representing the concentration of the drug in the bloodstream, t hours after administration is shown below.
c. A reasonable domain for this function is t ≥ 0.
d. The patient should receive the next intravenous dose of the drug in order to maintain a concentration above 1 mg/L and below 8 mg/L at t = 1.25 hour.
e. The concentration of the oral drug and the concentration of the intravenous drug would keep increasing over the first 20 hours after it is administered.
How to calculate when the concentration will be 0.5 mg/L?In order to determine the time when the concentration would be 0.5 mg/L, we would substitute the value of the concentration and then solve the quadratic function for time (t);
c(t) = 20t/(t² + 4)
0.5 = 20t/(t² + 4)
0.5(t² + 4) = 20t
0.5t² + 2 = 20t
0.5t² + 2 - 20t = 0
t² + 4 - 40t = 0
t² - 40t + 4 = 0
Time, t = 38.8998 ≈ 40 hours.
Part b
In this context, we would complete the table of values at various time (t) as follows;
t 0 2 4 6 8 10 12 14 16 18 20
c(t) 0 5 4 3 2.35 1.92 1.62 1.4 1.23 1.10 1.00
Part c
Since the concentration of the drug at time, t = 0 is equal to 0 mg/L and the concentration actually never becomes zero (0) for any value of time (t), we can reasonably infer and logically deduce that a reasonable domain for this quadratic function is t ≥ 0 or {0, ∞}.
Part d and e
Furthermore, the intravenous drug must be administered to the patient between the time interval 1.25 ≤ t ≤ 20 in order to maintain a concentration above 1 mg/L and below 8 mg/L.
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I NEED HELP WITH THIS QUESTION QUICK IT'S VER DIFFICULT FOR ME.
Answer:
The relationship is proportional. The constant of proportionality is 20. It represents how many meters the horse runs per second per second. Equation is d=20t
Find the area of this circle. Use 3 for T.
Α = πη2
5 in
[?] in?
Hope this help!!!
Have a nice day!!!
Monica deposits $100 into a savings account that pays a smiple interest rate of 4.5%. Paul deposits $200 into a savings account that pays a simple interest rate 2.9%. Monica says that she will earn more interest 1 year because her interest rate is higher . Is she correct
Monica is wrong to say she will earn more interest in 1 year than Paul because her interest rate is higher.
How to find simple interest?Simple interest is the interest amount for a particular principal amount of money at some rate of interest.
Therefore, Monica deposits $100 into a savings account that pays a simple interest rate of 4.5%. Let's find the simple interest for Monica at 1 year.
I = prt / 100
where
p = principalr = ratet = timeTherefore,
I = 100 × 4.5 × 1 / 100
I = 450 / 100
I = 4.5 dollars
Paul deposits $200 into a savings account that pays a simple interest rate 2.9%. Let's find the simple interest of Paul for 1 Year.
I = 200 × 2.9 × 1 / 100
I = 580 / 100
I = 5.8 dollars
Therefore, Monica will earn lesser interest in 1 year than Paul.
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Simplify: 5/6-7/2-5/3 A.-19/22 B.-17/12 C.1/4 D.23/12
The simplified value of the expression 5/6 - 7/2 - 5/3 is -13/3
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution of the expression?The expression is given as
5/6-7/2-5/3
Convert the mixed fractions to improper fractions
So, we have
5/6 - 7/2 - 5/3
Evaluate the product of the numerators and the denominators in the above expression so that the denominators are the same
So, we have
5/6 - 7/2 - 5/3 = 5/6 - 21/6 - 10/6
Take the LCM of the denominators in the above expression
So, we have
5/6 - 7/2 - 5/3 = (5 - 21 - 10)/6
Evaluate the difference of the numerators in the above expression
So, we have
5/6 - 7/2 - 5/3 = -26/6
Simplify the above fraction
So, we have
5/6 - 7/2 - 5/3 = -13/3
Hence, the simplified value of the expression 5/6 - 7/2 - 5/3 is -13/3
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Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
Rounding 55,183 to the nearest thousand gives
Answer:
55,000
55,183 is closer to 55,000 than to 56,000
To round to the nearest thousand look at the hundreds number, if the number is below 5 then the thousands number remains the same and the digits less than the thousands become zeros, if the hundreds number is 5 or higher you add 1 to the thousands number and the digits less than the thousands become zeros.
The hundreds number is 1, so the thousands number remains 5.
Answer: 55,000
At the neighborhood block party, Joel served 1/6 of a gallon of hot chocolate and 1/12 of a
gallon of apple cider. How much more hot chocolate than apple cider did Joel serve?
Write your answer as a fraction or as a whole or mixed number.
gallons
Answer:
1/12 gallons
Step-by-step explanation:
We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.
Step 1: Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2
(1/6) * (2/2) = 2/12
Step 2: Now we can subtract 1/12 from 2/12:
2/12 - 1/12 = 1/12
Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.
Solve for all values of a in simplest form.
8+|5+3x|=10
Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
In the graph the Inefficient point of production is represented by the point A , option(a)Point A is correct .
The graph given in the question is for Skateboards vs Bikers.
we need to find the point which represents the Inefficient point of Production.
The points in the Production Possibility Curve are said to be inefficient when the resources are not utilized to the fullest.
The given Production possibility curve between the Skateboards and the Bikers have Point A as the Inefficient Point .
Therefore , the point A represents the Inefficient point of production in the given Production possibility curve , the correct option is (a)Point A.
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Find the slope of the line shown on the graph to the right.
Question content area bottom left
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
The slope would be \(\frac{4}{5}\)
Step-by-step explanation:
Answer:
-4/-5
Step-by-step explanation:
Remember the formula to slope:
(y2 - y1)/(x2-x1) given two points on the line that are (x1, y1) and (x2, y2).
The two points given on this line are: (2,2) from the top left and (-3,-2) from the bottom left. Let's say (2,2) = (x1, y1) and (-3,-2) = (x2, y2). Plug the points into the formula:
(-2 - 2)/(-3-2) = -4/-5
FINAL ANSWER: -4/-5
Josiah owes $3,500 on his credit card with a minimum percentage of 3% or $100 (whichever is higher). How much is the minimum payment due?
$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.
The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.
1. Calculate 3% of $3,500:
3% * $3,500 = 0.03 * $3,500 = $105
2. Compare the calculated amount with the minimum payment of $100:
Minimum payment = max($105, $100)
Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.
The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.
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If f(a) = 3a - a2, which of the following are not true statements?
Select all that apply.
f(4) = -4
f(3) = 0
f(-1) = 2
f(0) = 3
f(-5) = -40
Answer:
f(-1) = 2
f(0) = 3
Step-by-step explanation:
f(a) = 3a - a²
f(4)= 3*4-4²= -4 ⇒ correctf(3)= 3*3-3²= 0 ⇒ correctf(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect f(0) = 3*0-0²= 0 ⇒ incorrect f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correctAnswer:
The 3rd and the 4th statement are not the true statements.
Step-by-step explanation:
In the 3rd statement, if you put a=-1 into the equation f(a), it would be
=3x(-1) - (-1)2
=-3 - 1
=-4.
In the 4th statement, if you put a=0 into the equation f(a), it would be
=3x(0) - (0)2
=0 - 0
=0.
For the other statements, they show the correct results.
graph y-intercept 6 and slope-7
We will get y = -7x + 6 in graph y-intercept 6 and slope-7.
The equation of the line with a y-intercept of 6 and a slope of -7 can be written in slope-intercept form as:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting the given values, we get:
y = -7x + 6
So the equation of the line is y = -7x + 6.
slope -7 and y - intercept 6.
Slope intercept form: y = mx + b, m=slope, b = y-intercept
y = -7x + 6
Just plug in a value for x and solve for y
x y=-7x+6
------------------
0 6
1 -1
If you plot these two points and draw a straight line through them,
that is the graph of the line.
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The volume of a cube is 27 in.. How long is each side? Each side of the cube is____in. long.
Answer:
the volume is 27 and to get a volume of a cube it will be side cubed meaningit will be side x side x side so to get the length of one side we will look for the cube root of 27 by using factor tree and the cube root will be 3
Which numbers between 10 and 20 do not appear in the table at all?
Why don’t they appear?
Answer:
the answer is 11, 13, 17
Step-by-step explanation:
this is because they do not have any even number that multiplies into them.
Henry loves to read. He reads 90 pages in one hour. How many pages does he read in 5 hours
Answer:
450
Step-by-step explanation: 90x 5 = 450 hoped i helped
Find the slope of a line that passes through the points (8, 7) and (-8,
-1).
Answer:
m = 1/2
Step-by-step explanation: