Answer: He is incorrect.
Step-by-step explanation:
Since we are talking about -8.0, we can "ignore" the .0 because 0 has no value. An integer is a whole negative number, whole positive number, or zero. -8 is a whole negative number, since .0 means "nothing" here, so it is an integer.
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PLEASEEEE HELP 100 POINTS AND I WILL MARK BRAINLIEST PLEASE
Many doctors rely on the use of intravenous medication administration in order to achieve an immediate response of a particular drug's effects. The concentration, C, in mg/L, of a particular medication after being injected into a patient can be given by the function C(t) = −2t^2 + 8t, where the time, t, is hours after injection.
Part A: What are the domain and range of the function C(t) based on the context of the problem? Show all necessary calculations.
Part B: Graph the function to determine the greatest concentration of the medication that a patient will have in their body.
Answer:
See below
Step-by-step explanation:
First, graph the function to see that the domain ( the values of x the function can have in this context goes from 0 to 4 hours ( after four hours the concentration goes negative.....can't happen in the real world)
and the range is 0 to max of 8 mg/L
Here is the graph :
A CFL Factory uses 24,325.208 litre of water in 4 hours. How much water does the factory use in 3 hours
Answer:
18243.906
Step-by-step explanation:
Find how much water is used in 1 hour and then multiply that by 3
24325.208/4
6081.302
6081.302x3
18243.906
(3xy^(2))^(3)*(-(2)/(3)x^(2)y^(3))^(4)
Answer:
its B!!
Step-by-step explanation:
I took the test and got it wrong but the review said it was B
the time it takes a woman to travel from her apartment to the bus station follows a uniform distribution over the interval from 20 to 30 minutes. if she leaves home at 9:05 a.m., what is the probability that she will get to the station between 9:25 and 9:30 a.m.?
The probability that she will get the station between 9:25 and 9:30 is 1/2.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given: The time it takes a woman to travel from her apartment to the bus station follows a uniform distribution over the interval from 20 to 30 minutes.
She leaves home at 9:05 a.m.
Let x be the random variable denoting that travel time of a women from apartment to bus stop.
Here x ≈ U (20, 30)
⇒ F(x) = (x - 20) / (30 - 20)
To find, she leaves home at 9:25 at reach bus stop at 9:25 to 9:30
⇔ P(20 < x < 25)
= (25 - 20) / (30 - 20)
= 5 / 20
= 1/2
Hence, the probability is 1/2.
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Question 6
Write an equation in point-slope form for the line that passes through the given points.
(4,-6), (6,-4)
someone pls help me. i dont understand this at all :c
m -10
-------- = 0
-2
What is the answer
Round to the nearest 10th
Answer:
30
Step-by-step explanation:
Well I hope this helps Have a good day! :)
Lesson
Cool Down: Off by a Little Bit?
Clare
estimates that her brother is 4 feet tall. When they get measured at the doctor's
office, her brother's height is 4 feet, 2 inches.
1. Should Clare's or the doctor's measurement be considered the actual height?
Explain your reasoning.
2. What was the error, expressed in inches?
3. What was the error, expressed as a percentage of the actual height?
Answer:
See belowStep-by-step explanation:
GivenEstimated value - 4 feet,Measured value - 4 feet, 2 inchesSolution1. The measured height is the exact value therefore it is to be considered as actual height.
2. The error is the difference between actual and estimated values:
4 feet 2 inches - 4 feet = 2 inches3. Percent error is:
Error / Actual value * 100%or
2 in / 4 ft, 2 in *100% = 2 in / (4*12 + 2) in * 100% = convert ⇒ 1 foot = 12 inches2 in / 50 in * 100% = 4%If A ⊂ B, then A ∩ B = ∅. true or false
The statement if A ⊂ B, then A ∩ B = ∅ is false.
First, let us understand the set:
A set is a mathematical model for a collection of different things; a set contains elements or members that can be any mathematical object: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
We are given;
A ⊂ B
We need to find A ∩ B.
Let us understand the given set;
A ⊂ B means A is a proper subset of B.
All the elements of set A are in set B.
So, A ∩ B = A
But, A ∩ B = ∅ is given.
So, the statement is false.
Thus, the statement if A ⊂ B, then A ∩ B = ∅ is false.
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Enter an expression that represents the following statement, and then solve the expression.
3 less than the product of 6 and −4.
The expression is .
The value of the expression is
Answer:
-27
Step-by-step explanation:
6 * (-4) -3 =
= -24 - 3 =
= -27
Ue the factor Theorem to determine if
the given binomial i a factor of f(x)
f(x)=2x^3x^2-9x-6;x-1
By using factor theorem it is obtained that,
x - 1 is not a factor f(x) =[tex]2x^5-9x-6[/tex]
What is factor theorem?
At first, it is important to know about remainder theorem
Remainder theorem states that if f(x) is divided by (x - a), then the remainder is f(a)
If the remainder is zero, then f(a) is a factor of f(x)
Factor theorem states that if f(a) = 0, then (x - a) is a factor of f(x).
Here,
[tex]f(x)=2x^5-9x-6[/tex]
Divisor = x - 1
x - 1 = 0
x = 1
By remainder theorem,
Remainder = f(1)
f(1) =
[tex]2(1)^5 - 9(1) - 6\\2 - 9 -6\\-13[/tex]
Which is not equal to zero
x - 1 is not a factor f(x) [By factor theorem]
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How do you remove the vertical asymptote from the domain in pre calc
Answer:
Step-by-step explanation:
..................
what is the y-intercept of the line given by the equation below?
y=4x-6
A. (4, 0)
B. (0, 4)
C. (-6, 0)
D. (0, -6)
Answer:
D: (0,-6)
Step-by-step explanation:
the y intercept in an equation is the "b" value in y=mx+b
Answer:
(0,-6)
Step-by-step explanation:
you can look at the last term in the equation which is -6
Or you can set x to 0
y=4(0)-6
y=-6
Hopes this helps please mark brainliest
The domain of f is x > 0. The range of f is all real numbers. The domain of the inverse function is all real numbers. The range of the inverse function is y > 0. The domain of f is the same as the range of the inverse function. The range of f is the same as the the domain of the inverse function.
The given descriptions "The domain of f is x > 0. The range of f is all real numbers. The domain of the inverse function is all real numbers. The range of the inverse function is y > 0. The domain of f is the same as the range of the inverse function. The range of f is the same as the domain of the inverse function." is stated about the logarithmic function.
First, let us understand the logarithmic function:
The inverses of exponential functions are logarithmic functions, and any exponential function could be represented in logarithmic form.
The given description fully stated about the logarithmic function.
Thus, the given description "The domain of f is x > 0. The range of f is all real numbers. The domain of the inverse function is all real numbers. The range of the inverse function is y > 0. The domain of f is the same as the range of the inverse function. The range of f is the same as the domain of the inverse function." is stated about the logarithmic function.
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What are the tep to writing the equation of a line, parallel or perpendicular, to a given line through a given point? Parallel line have the _____ lope. Perpendicular line have _____
Answer:
parallel line: a(x-h) +b(y-k) = 0, or y-k = m(x -h); same slopeperpendicular line: b(x-h) -a(y-k) = 0, or y-k = (-1/m)(x -h); opposite reciprocal slopeStep-by-step explanation:
You want the steps to writing the equation of a line parallel or perpendicular to a given line through a given point.
EquationsGiven line ax+by=c and point (h, k), you can write equations for the desired lines using the forms:
a(x -h) +b(y -k) = 0 . . . . . . parallel line
b(x -h) -a(y -k) = 0 . . . . . . . perpendicular line
If you eliminate parentheses and collect terms, you will have the general form equation of the desired line(s). If you solve for y, you will have the slope-intercept form of the equation.
To use these forms, it is helpful to start with the equation of the given line in standard form, as shown. (It could also be in general form ax+by-c=0.)
StepsUsing the above solution, the steps are ...
Write the equation of the given line in standard form or general form.Identify the coefficients 'a' and 'b'.Fill in the coefficients and given point coordinates in the relevant equation above.Rearrange the result to whatever form you need.You will note that the same coefficients are used on the same variables for a parallel line. This is because parallel lines have the same slope.
The coefficient of the variables are swapped, and one of them is negated in the equation for the perpendicular line. This is because perpendicular lines have opposite reciprocal slope.
Slope-intercept formWhen the given line is in slope-intercept form, y = mx +b, the slope is readily identified as m, the coefficient of x. For the parallel line, this slope can be used directly in the point-slope equation for a line through a given point:
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
This can be rearranged to the slope-intercept form:
y = mx +(k -mh)
The perpendicular line has opposite reciprocal slope. The line perpendicular to the given line with slope m will have slope -1/m. Then the two forms of equation are ...
y -k = -1/m(x -h) . . . . . . . . . point-slope form
y = (-1/m)x +(k +h/m) . . . . . slope-intercept form
__
Additional comment
A standard form equation (ax +by = x) has mutually prime integer coefficients, with a positive leading coefficient. When you have written your equation, you may find it necessary to multiply the equation by some value to put it in this form. For example, -2x +4y = -8 must be multiplied by -1/2 to get the standard form equation x -2y = 4.
You need to be aware of the form required by your grader. The wording "the equation" often means slope-intercept form, or the form matching the given equation or the answer box format.
Given the following formula, solve for a.
8 = a+b+c
O A.
a
OB. a
OC. a = s- bzc
OD.
28 b + c
-
28 b - c
-
a = s - btc
2
Answer:
a = -b - c + 8
Step-by-step explanation:
8 = a + b + c. Solve for a.
Subtract b from both sides
8 - b = a + c
Subtract c from both sides
8 - b - c = a
It is customary to rearrange so that the variable we solved for is on the left side
a = -b - c + 8
Roberto has already run 16 of 26. 2 miles of a marathon. Rounded to the nearest whole number, what percent of the marathon has he completed?.
Answer: Alright, lets get started.
Roberto has already run miles = 16
Total miles for marathon = 26.2
As per percentage formula :
So, percentage completed =
Rounding the answer to whole number 62 %
62 percent of the marathon he has completed. : Answer
Hope it will help :)
Step-by-step explanation:
Please I need help please
The value of x in the given triangle is x = 2 .
In the question ,
it is given that ,
a triangle is given ,
let us name the triangle as triangle ABC ,
So , By Basic Proportionality Theorem , which states that ,
The line drawn parallel to one side of triangle and cuts the other two sides divides the other two sides in equal proportion.
So , By Basic Proportionality Theorem
AD/AB = AE/AC
substituting the value from the triangles , we get
4/12 = 6/(6+6x)
1/3 = 1/(1+x)
1 + x = 3
x = 3 - 1
x = 2
Therefore , The value of x in the given triangle is x = 2 .
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assuming that other factors are held constant, which of the following would tend to increase the likelihood of rejecting the null hypothesis? group of answer choices increase the sample variance decrease the sample size none of the other 3 options would increase the likelihood. increase the sample mean difference
Assuming that other factors are held constant, the sample means difference Increases. (option C)
The null hypothesis and the alternative hypothesis are the two types of hypotheses for a test.
Step 1: The null hypothesis is based on the assumption that there is no difference between the true mean (µ) and the compare value ([tex]m_{o}[/tex]). The alternative hypothesis is based on this assumption.
Step 2: Increasing the sample mean difference would probably make it more likely that the null hypothesis will be rejected, as long as other factors stay the same.
As a result, option C is the right one.
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(Complete question)
Assuming that other factors are held constant, which approach would tend to increase the likelihood of rejecting the null hypothesis?
a. Decrease the sample mean difference.
b. Increase the sample variance.
c. Increase the sample mean difference.
d. Decrease the sample size.
Find the slope and y-intercept of each equation *Please*:
1.) 8x-4y=24
2.) y= -5x+16
Answer:
1) Slope: 2 ; y-intercept: (0, -6)
2) Slope: -5; y-intercept: (0, 16)
Step-by-step explanation:
8x-4y=24 is also y=2x-6
Slope: 2
y-intercept: -6
y= -5x+16
Slope: -5
y-intercept: 16
A recipe for whole grain bread calls for 1 oz of rye flour for every 4 oz of whole wheat flour. How many ounces of each kind of flour should be used to make a loaf of bread weighing 22 oz?
In the making of 22 oz of bread rye flour and whole wheat requirements are 4.4 0z and 17.6 oz.
What is the different method of writing a ratio?A ratio is a comparison between two quantities in simplest form.
A ratio of the from a : b can be written as a/(a + b) and b/(a + b).
Given, A recipe for whole grain bread calls for 1 oz of rye flour for every 4 oz of whole wheat flour.
∴ In the making of 22 oz of bread rye flour needed is 1/(1 + 4)×22
= (1/5)×22.
= 4.4 oz.
In the making of 22 oz of bread whole wheat needed is 4/(1 + 4)×22.
= (4/5)×22.
= 17.6 oz.
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What is 52 increased by 18
52 increased by 18 is basically 52 + 18 = 70
I hope this helps!
Riley walked 6 players in 3
innings. How many players is
he likely to walk in 5 innings?
The distribution of annual profit at a chain of stores was approximately normal with mean μ = $ 66 , 000 μ=$66,000mu, equals, dollar sign, 66, comma, 000 and standard deviation σ = $ 22 , 000 σ=$22,000sigma, equals, dollar sign, 22, comma, 000. The stores with profits in the top 5 % 5%5, percent each had a reward party for the employees to celebrate. What is closest to the minimum annual profit for a store that had a reward party?.
From the given mean and standard deviation the closest minimum annual profit, for a store that had a reward party is equal to $102,300.
As given in the question,
Given distribution of annual profit :
Approximately normal with mean μ = $66,000
Standard deviation σ = $22,000
Profits in the top 5 percent
Apply z-score formula :
z = ( x - μ) / σ
Top 5% mean 95% and more.
Using normal distribution table,
z -score corresponding to 95% or 0.95 is equal to 1.65.
Substitute all value in the formula we get,
1.65 = ( x - 66,000 ) / 22,000
⇒ x - 66,000 = 1.65 × 22,000
⇒ x = 36,300 + 66,000
⇒ x = 102,300
Therefore, from the given mean and standard deviation the closest minimum annual profit, for a store that had a reward party is equal to $102,300.
The complete question is :
The distribution of annual profit at a chain of stores was approximately normal with mean μ = $66,000, standard deviation σ = $22,000. The stores with profits in the top 5 percent each had a reward party for the employees to celebrate.
What is closest to the minimum annual profit for a store that had a reward party?
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54 people can unload a ship in 5 hours. 54 people started unloading at 3pm. After 2 hours, 36 people had to leave. The remaining people kept working to finish unloading the ship. How many hours after 8pm did the remaining people each have to work?
Answer: 6 hours
to be honest i got 7 hours but i typed in 6 and it was correct so i cant really tell you how i got it right :/
Model with math Katrina and Becca exchanged 270 text messages in 45 minutes. An equal number of texts was sent each minute. The girls can send 90 more text messages before they are charged additional fees. Complete the double-number line diagram . At this rate for how many more minutes can the girls exchange texts before they are charged extra
At this rate 15 more minutes the girls can exchange texts before they are charged extra.
Given that,
Katrina and Becca exchanged 270 text messages in 45 minutes. An equal number of texts was sent each minute. The girls can send 90 more text messages before they are charged additional fees.
Here,
Total message sent = 270
in time = 45 minutes
Rate = 270 / 45 = 6 messages per minute
Time for the exchange of 90 messages = 90 / 6 = 15 minutes
Thus, At this rate 15 more minutes the girls can exchange texts before they are charged extra.
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consider the following problem: a farmer with 750 ft of fenc- ing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. what is the largest possible total area of the four pens?
The largest possible total area of the four pens is 14,062.5 ft.²
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.
Diagrams illustrating the situation can be formed adjusting the width of the included diagram illustrating the general situation.
The expression for the total area is A=( 150- (2Y)/5 ) Y
Reasons:
The given parameter are;
Length of fencing available = 750 ft.
Area to be enclosed = Rectangular
Number of included pens with parallel fencing = Four
Let Y represent the width of the area and let X represent the breadth
Therefore, we have;
2·Y + 5·X = 750
Which gives;
X=(750/5)-(2Y/5)=150-(2Y/5)
The area is therefore;
A=Y [150-(2Y/5)] = 150Y-(2Y²/5)
Differentiate with respect to Y and equate to zero
dA/dY = 150- (4Y/5)=0
Y=(150*5)/4 = 187.5
The width of the maximum area, Y = 187.5 ft.
Which gives;
X=150- (2*187.5)/5 = 75
The breadth of the area, X = 75 ft.
The maximum area, = Y × X, which gives;
= 187.5 ft. × 75 ft. = 14,062.5 ft.²
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Rochelle had 3/4 yard of twine each party favor requires 3/8 yard howmany party favors can Rochelle make
Rochelle can make 2 party favors with 3/4 yards of wine.
According to the question,
We have the following information:
Rochelle had 3/4 yard of wine. Each party favor requires 3/8 yard.
Now, we will find how many parts of a party can 1 yard of wine favor using division.
So, we have the following expression:
1 party = 3/8 yards
1 yard = 8/3 party
Now, Rochelle has 3/4 yards of wine in total. So, we can find the number of party favors using multiplication.
3/4 yards = (3/4)*8/3
3/4 yards = 2 parties
Hence, Rochelle can make 2 party favors with 3/4 yards of wine.
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An artist charges $980 for a portrait but gives 5% discount for cash. Calculate the cash Price of the portrait
Answer: $49
Step-by-step explanation: 5% of 980 = 0.05 × 980 = 49
Answer:
$931
Step-by-step explanation:
Discount = less money paid
100% - 5% = 95%
95% = 0.95
980 * 0.95 = 931