Answer:
Ice cream is 8.98
Step-by-step explanation:
The domain of this emath equation is
Answer:
x ≥ 5
Step-by-step explanation:
You want the domain of the equation y = √(x -5) -1.
DomainThe domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...
x -5 ≥ 0
x ≥ 5 . . . . . . the domain of this function
__
Additional comment
The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.
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A three-sided fence is to be built next to a straight section of river, which forms the fourth side of a
rectangular region. The enclosed area is to equal 128 m². Find the minimum perimeter and the
dimensions of the corresponding enclosure.
Answer:
perimeter: 32 mdimensions: 16 m parallel to the river; 8 m wideStep-by-step explanation:
You want the length of the minimum perimeter fence to enclose 3 sides of a rectangular area of 128 m² with one side of the enclosure provided by a river. You also want the enclosure dimensions.
PerimeterIf x represents the dimension of the enclosure parallel to the river, then the other dimension of the enclosure is found from ...
A = LW
128 = x·W
W = 128/x
There will be two sides of this length, so the perimeter is ...
P = L +2W = x +2(128/x)
P = x + 256/x
MinimumThis has an extreme value (minimum) where its derivative is zero:
dP/dx = 0 = 1 -256/x²
Solving for x gives ...
x² = 256
x = √256 = 16
and the perimeter is ...
P = 16 +256/16 = 32
The other dimension is 128/16 = 8.
The minimum perimeter is 32 meters; the enclosure is 16 by 8 meters.
__
Additional comment
This can be solved without using derivatives by working the reverse problem: the largest area for a given perimeter.
Using the same definition of x, the area in terms of perimeter is ...
A = x · (P -x)/2
This is a quadratic equation with a maximum halfway between its zeros at x=0 and x=P. So, the value of x for maximum area is x = P/2. That area is ...
A = (P/2)(P -P/2)/2 = (P/2)(P/4) = P²/8
Or, the minimum perimeter for a given area is ...
P = √(8A)
In this problem, that is ...
P = √(8·128) = √1024 = 32
The dimensions of the enclosure are (P/2)×(P/4) = 16×8.
Solve the system of equations by graphing.
y = -2
y = -3
2
x + 4
The system of graphs is a very unique concept which helps to understand various concepts in a visual way.
How does this occur?
The two lines intersect at (-3, -4), which is the system of equations' solution.
Using the slope and y-intercept, graph an equation as follows:The equation y = mx + b's y-intercept can be found.Determine the y-intercept. The purpose will be (0, b).The slope=m of the equation y = mx + b can be found.Run from the slope while taking a single step using the rise.Your line should join those two spots.This is how the equation can be solved-
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(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
What is the Answer pls
Answer:
A. right triangles (i think)
Step-by-step explanation:
Answer:
A. Right angled Triangle
Step-by-step explanation:
The length and the width are not equal so we cannot have equilateral triangles,
An acute triangle is a triangle with three acute angles ( less than 90°) and since we have an angle that is 90° then the triangles are not acute.
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees, which is NOT the case in our situation.
Therefore we have a right angled triangle since one angle=90°
consider the scenerio of an 100 mg dose of medicine ingested at a rate modeled by the equation y=100(0.8) where y= the amound of medicine in the bloodstream and x=the number of hours since the medicine was ingested
The amount of medicine in the bloodstream remains at 80 mg for any number of hours after ingestion.
The equation y = 100(0.8) y represents the amount of medicine in the bloodstream and x represents the number of hours since the medicine was ingested.
To understand how the amount of medicine changes over time we can plug in different values for x and calculate the corresponding values of y.
Let's calculate the amount of medicine in the bloodstream at different time intervals:
For x = 0 (immediately after ingestion):
y = 100(0.8) = 80 mg
For x = 1 (1 hour after ingestion):
y = 100(0.8) = 80 mg
For x = 2 (2 hours after ingestion):
y = 100(0.8) = 80 mg
The amount of medicine in the bloodstream remains constant at 80 mg regardless of the number of hours since ingestion.
This indicates that the rate of medicine absorption into the bloodstream is not changing over time in this particular model.
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What is the value of y ??????????????
Answer & Step-by-step explanation:
For this problem we can just set up an equation and equal it to 180.
(2y) + (y + 10) + 50 = 180
Combine like terms.
3y + 60 = 180
Subtract 60 from 180.
3y = 120
Divide 120 by 3.
y = 40
So, the value of y is 40°
what is the third power of 3
Answer:
27
Step-by-step explanation:
(08.02 MC)
Which of the following graphs shows a pair of lines that represent the equations
with a solution (-4, 3)? (5 points)
A
3230
+1
Q
2275
3
Answer: Neither of those two
See the below diagram
===========================================================
Explanation:
The lines need to intersect at (-4, 3). This is in the upper left quadrant, aka the northwest quadrant. Any point here has a negative x value, and positive y coordinate.
Check out the below diagram to see an example of two lines that intersect at (-4,3). Your final answer should look something similar to that.
what are the units associated with the rate constant for a reaction with reactants a, b, and c that is first order in a, zeroth order in b, and first order in c?
The overall reaction ordering affects the units of the rate constant, k. M/s, 1/s, and 1/(Ms) are the units of k for a zero-order reaction, first-order reaction, and second-order reaction, respectively.
The unit of the rate constant is the same as the unit of reaction rate for zero-order reactions. It is either sM or Lsmol. The unit of rate constant for a first-order reaction is s-1 or min-1.
The following is the rate law's mathematical formulation.
Rate = K(A)m(B)n
This rate rule illustrates the connection between the concentration of reactants and the rate of a chemical reaction.
In the above equation, the reactant molar concentrations are [A] and [B], respectively, and the rate constant K is used.
The value of K is particular to a given reaction at a given temperature.
Experiments were used to determine the represent exponents m and n. The value of K depends on surface area and temperature rather than reactant concentrations.
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The following data represent the high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c).
Temperature: Days:
50-59 5
60-69 309
70-79 1496
80-89 1521
90-99 533
100-109 6
(a) Approximate the mean and standard deviation for temperature.
B) Use the frequency histogram of the data to verify that distribution is bell shaped. Yes or No
C) According to the Empirical rule, 95% of the days in the month will be between what two temperatures?
Regarding the data-set of the temperatures, it is found that:
a) The mean and the standard deviation are given as follows:
Mean: 80.41Standard deviation: 8.33.b) The histogram is bell shaped.
c) 95% of the days will be between 63.75 ºF and 97.07 ºF.
How to obtain the mean and the standard deviation?The first step towards obtaining the mean and the standard deviation is obtaining the relative frequencies, which are the absolute frequencies divided by the number of observations.
The number of observations is:
5 + 309 + 1496 + 1521 + 533 + 6 = 3870.
Considering the midpoint of each interval, the following distribution is built:
P(X = 54.5) = 5/3870 = 0.0013.P(X = 64.5) = 309/3870 = 0.0798.P(X = 74.5) = 1496/3870 = 0.3866.P(X = 84.5) = 1521/3870 = 0.3930.P(X = 94.5) = 533/3870 = 0.1377.P(X = 104.5) = 6/3870 = 0.0016.The mean is given by the sum of each value multiplied by it's relative frequency, hence:
E(X) = 54.5 x 0.0013 + 64.5 x 0.0798 + 74.5 x 0.3866 + 84.5 x 0.3930 + 94.5 x 0.1377 + 104.5 x 0.0016 = 80.41.
The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, multiplied by their relative frequencies, as follows:
S(X) = sqrt((54.5-80.41)² x 0.0013 + (64.5-80.41)² x 0.0798 + (74.5-80.41)² x 0.3866 + (84.5-80.41)² x 0.3930 + (94.5-80.41)² x 0.1377 + (104.5-80.41)² x 0.0016) = 8.33.
From the histogram, most values are around the mean, with a small percentage of around 0.3% around the bounds, accordingly with the Empirical Rule, hence the distribution is normal.
By the Empirical Rule, a percentage of 95% of the observations is within two standard deviations of the mean, hence:
80.41 - 2 x 8.33 = 63.75.80.41 + 2 x 8.33 = 97.07.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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what is the difference 5 - 3.12
Answer: There is a difference of 1.88
Step-by-step explanation: Pls brainiest.
Answer:
1.88
Step-by-step explanation:
hopethishelpsya:)
Which number is equivalent to 7/11
?
The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
There are infinitely many numbers equivalent to 7/11
since 7/11 is a fraction that can be simplified in different ways.
We can multiply the numerator and denominator with the same number to get the equivalent fractions
7/11×2/2 = 14/22
7/11×3/3= 21/33
7/11×4/4 =28/44
7/11×5/5 =35/55
Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55
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SO CONFUSED PLEASE SOMEONE EXPLAIN! DUE SOON AND NEED HELP!!!!!!!! QUESTION IN PICTURE BELOW
Answer:
=> Apply law of cosine
\(c^2=a^2+b^2-2abcos\left(C\right)\)
=> input value
\(z^2=6.5^2 + 9.4^2-\left(6.5\right)\left(9.4\right)\left(cos\left(131\right)\right)\)
=> simplify
\(z=\sqrt{\left(6.5^2+\:9.4^2\right)-\left(6.5\right)\left(9.4\right)\left(-0.65605902899\right)}\)
=> calulcation
\(z=\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61},\:z=-\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61}\)
=> apply rule: Distance must be greater than 0
which is about 14.51828
El Dorado Community College has a main campus in the suburbs and a downtown campus. The amount X spent on tuition by a randomly selected student at the main campus has mean $732.50 and standard deviation $103. The amount Y spent on tuition by a randomly selected student at the downtown campus has mean $825 and standard deviation $126.50. Suppose we randomly select one full-time student from each of the two campuses. Calculate and interpret the mean of the sum S = X + Y.
As per the given standard deviation, the mean of the sum S = X + Y is $1557.50.
To calculate the mean of the sum S = X + Y, we need to know the means and standard deviations of X and Y. The mean of X is given as $732.50, and the standard deviation is $103. Similarly, the mean of Y is given as $825, and the standard deviation is $126.50.
To find the mean of the sum S = X + Y, we simply add the means of X and Y:
Mean of S = Mean of X + Mean of Y
= $732.50 + $825
= $1557.50
So, the mean of the sum S = X + Y is $1557.50.
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s is inversely proportional to t . When s = 0.9 , t = 2 Work out t when s = 30
Hope you will understand
Answer:
Step-by-step explanation:
we can assume that s=k/t,k is unknown constants,0.9=k/2 >> k=1.8,so
30=1.8/t >> t=0,06
10.8.8 Check Your Understanding
Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to
park her car. Each night, the hotel charged d dollars and $17.20 for parking. Which equation represents the total
amount, in dollars, Allison paid for the three nights?
A) d+3(17.20) = 782.07
(B) 3d+17.20 = 782.07
C) 3(d-17.20) = 782.07
D) 3(d+17.20) = 782.07
We can see that the correct equation that can depict the problem is 3(d+17.20) = 782.07. Option D
Which equation shows the total charge?We have to look at the problem that we have here. In the case of the question that we have been asked, we can see that for the problem that has been given here, it is clear that; Allison went on a business trip and stayed at a hotel for three nights. She paid a total of $782.07 for the room and to park her car.
If it is known that Each night, the hotel charged d dollars and $17.20 for parking. We can say that let the amount that is charged for the lodging be d and we have the equation as; 3(d+17.20) = 782.07.
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one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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119% of 679.82kg rounded to two decimal places
Answer:
808.99
Step-by-step explanation:
Help me please I have no idea
Answer:
given: DAB=50°
therefore,ABC=50°
ACB=BAC (isosceles triangle)
ABC+BAC+ACB=180°
50°+x+x=180°
2x=180-50
2x=130
x=130/2
x=65°
Emily needs enough
fabric for 312 hats. If
each hat requires 12/
feet of fabric, how
much fabric will she
need to make 372
hats?
Please answer
Answer:
divide the big numbers the the small number but when you find the answer to 312/372 the multiply the answer to 12
Step-by-step explanation:
Answer:
For 312 hats- 3744 feet of fabric total. For 372 hats- 4464 feet of fabric
Step-by-step explanation:
You divide the number of hats you want and multiply by 12 because you need 12 feet of fabric for each hat.
Help!!!!!!?!!!!!!!!!!??????????
Step-by-step explanation:
A value is excluded when it makes the rational expression undefined. (such as making the denominator 0, etc.)
For example when x = 8, (x - 8) at the denominator will become 0 and make it undefined.
The correct options are the 3rd and 4th ones.
Terry takes a 800 mg Tylenol for his headache. Every hour that the Tylenol is in his system, a quarter of the medication dissolves in his body.
1. WRITE a function that models the amount of Tylenol in Terry’s body over time. Use x for hours, and y for the amount of Tylenol, in mg, remaining in the body.
2. When there is less than 100mg of medicine left in the body, it safe to take it again. HOW LONG will it take before Terry can take more medicine?
Therefοre, the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be Terry can easily take anοther 800mg Tylenοl fοr his headache after abοut 2.4 hοurs have passed.
What is functiοn?The curriculum fοr mathematics includes a wide range οf tοpics, such as numbers, numbers, and their cοmpοnents, as well as cοnstructiοn, building, and bοth actual and hypοthetical geοgraphic places. A wοrk discusses the relatiοnships between different variables that all wοrk tοgether tο prοduce the same result. A utility is made up οf a variety οf distinctive cοmpοnents that, when cοmbined, prοduce specific results fοr each input.
Here,
The functiοn can be written as fοllοws:
=> y = 800 * (0.25)ˣ
where y is the quantity οf Tylenοl still in Terry's system in milligrammes and x is the number οf hοurs since he last tοοk the medicatiοn.
When Terry's bοdy's cοncentratiοn οf Tylenοl gοes belοw 100mg, we need tο find οut hοw lοng it will be befοre he can take mοre medicatiοn.
The expοnential decay fοrmula frοm part 1 can be used tο find a sοlutiοn fοr this:
=> 800 * (0.25)ˣ = 100
by 800, divide bοth sides.
=> (0.25)ˣ = 0.125
Cοnsider the twο sides' lοgarithms:
=> lοg(0.25) * x = lοg (0.125)
tο find x:
=> lοg(0.125) / lοg (0.25)
=> x = 2.4
Terry can easily take anοther 800mg Tylenοl fοr his headache after abοut 2.4 hοurs have passed.
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Find the measure of each angle of the quadrilateral.
all work should be in the picture, lmk if theres anything confusing
Please help me!!!
If a girl is in 6th grade and has 3 A's 1 B, 1 C and 1 D in grades what is her grade point average.
please help this could determine whether i go to the next grade or not
Answer:
Her GPA is 3
Step-by-step explanation:
an A is 4 points
B is 3 points
C is 2 points
D is 1 point
She has A, A, A, B, C, D for her grades. (6 grades total)
That equals
4 + 4 + 4 + 3 + 2 + 1 = 18 points
Then we divide the points by the number of grades we're looking at.
18/6 = 3
Her grade point average is 3.
Answer:
Grading Chart
A = 4.0 A- = 3.67 B+ = 3.33 B = 3.0 B- = 2.67
C+ = 2.33 C = 2.0 C- = 1.67 D = 1.0 F = 0.0
So your semester GPA is: 3.44
Also your semester Credit Total is: 18
A line with a slope of 4 passes through the point (2, 3) . What is its equation in slope -intercept form?
Answer:
y=4x-5
Step-by-step explanation:
Slope-intercept form is y=mx+b where m is the slope and b is the y intercept.
Plug in what you know to solve for b.
3 = 4(2) + b
3 = 8 + b
3-8 = b
b = -5
now put b and m back into the slope- int form.
y = 4x-5
What is an equivalent expression to 9(c+5)?
Answer:
9c+45!
You only need to solve by using the distributive property.
9(c+5), is equal to 9(c)+9(5), or 9*c+9*5. Which can me simplified to 9c+45
1.0315 x 10^ written in standard notation
Answer:
10.315
Step-by-step explanation:
Find each value given the following function:
Answer:
Step-by-step explanation:
1) f(-4) --> if x < or equal to 3
2) 1/(-4)-4
3) The answer is - 1/8
The diagram shows a shape made from a solid cube and a solid cylinder.
The cube has sides of length 8.7 cm.
The cylinder has a radius of 2.7 cm and a height of 4.9 cm.
Calculate the total surface area of the solid shape.
Give your answer correct to 3 significant figures.
The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².
How to calculate the areaThe side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²
= 75.69 cm²
Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²
Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².
In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².
Total surface area = surface area of the cube + surface area of the cylinder
Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²
Total surface area ≈ 583.31 cm²
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