Answer:
12.85
Step-by-step explanation:
75.00-21.95-23.42-16.75=12.85
How many different ways are there to arrange the letters in the word MISSISSIPPI?
Answer: 34,650 permutations
The domain is ? (image attached)
how do I graph and understand points on a graph like these
Option B has these points on the graph: (1, 100) and (2,50)
Explantion:
The given function:
\(f(x)=100(0.5)^{x-1}\)To determine which of the graph defines the function above, we will assign values for x based on the numbers given:
The values of x on the graph: 0, 1, 2, 3, 4, 5
Then we will insert the values of x in the function to see if we will get the same coordinates as any one of the graph.
let y = f(x)
when x = 1
\(\begin{gathered} y=100(0.5)^{1-1}=100(0.5)^0 \\ y\text{ = 100}\times1\text{ = 100} \\ (x,y)\text{ = (1, 100)} \end{gathered}\)Let's pick another x point: when x = 2
\(\begin{gathered} y=100(0.5)^{2-1}=100(0.5)^1 \\ y\text{ = 100(0.5) = 50} \\ (x,y)\text{ = (2, 50)} \end{gathered}\)We can continue with the points to be sure. But let's check which of the graph has this points.
From the above, option B has these points: (1, 100) and (2,50)
Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is
approximately equal to 4.23 cups.
Which measurement is closest to the number of liters of punch Elvira made?
At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be on a $66 meal?
Please show work.
Answer:
It is 5.61
Step-by-step explanation:
22×3=66
1.87×3=5.61
Consider the probability statements regarding events A and
B below.
P(A or B) = 0.3
P(A and B) = 0.2
P(AB) =0.8
What is P(B)?
A) 0.1
B) 0.375
C) 0.25
D) 0.667
The calculated value of the probability of B is (c) 0.25
How to calculate the probability of BFrom the question, we have the following parameters that can be used in our computation:
P(A or B) = 0.3
P(A and B) = 0.2
P(A/B) =0.8
First, we have
P(A/B) = P(A and B)/P(B)
Substitute the known values in the above equation, so, we have the following representation
0.2/P(B) = 0.8
So, we have
P(B) = 0.2/0.8
Evaluate
P(B) = 0.25
Hence, the probability of B is 0.25
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The distribution of values taken by a statistic in all possible samples of the same size from the same population is None of the above The population parameter The sampling distribution of the statistic The probability that the statistic is obtained The variance of the values
The sampling distribution of a statistic is the distribution of values taken by the statistic in all possible samples of the same size from the same population.
The population parameter is the true value of the statistic for the entire population. The probability that the statistic is obtained is the probability that it will be obtained in a single sample from the population. The variance of the values is the amount of variation among the values of the statistic in the sample. The formula for calculating the variance is the sum of the squared deviations from the mean, divided by the number of values in the sample. This can be written mathematically as: Variance = Σ (x - X)2/ n, where x is each value in the sample, X is the mean value, and n is the number of values in the sample.
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a like that includes the points (s,-3) and (-8,-4) has a slope of 1/4.
The value of s in the point (s,-3) after using slope formula is -4.
What is slope?
Slope is a term used to define how steep a line is. The rise of a line over the run of a line, or the change in the vertical direction (y) over the change in the horizontal direction, is the definition of slope (x). The slope is the angle at which one is moving forward or backward when skiing down a hill or climbing a mountain. Depending on what it is, the slope may occasionally be fairly flat or extremely steep. The slope of an object indicates how steep it is. Slope knowledge is crucial for daily decision-making.
Using slope formula,
=> slope m = \(\frac{y_2-y_1}{x_2-x_1}\)
Now the given point is ,
\((x_1,y_1)=(s,-3) \\(x_2,y_2)=(-8,-4)\)
=> slope m= 1/4
=> \(\frac{1}{4}= \frac{-4+3}{-8-s}\)
=> \(\frac{1}{4} = \frac{-1}{-8-s}\)
=> -8-s=-4
=>-s=-4+8
=> -s=4
=> s =-4.
Hence the value of s is -4.
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Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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What is the factored form of this expression?
216p^{6}\:+\:1
The slope of the line is -4/3 and the {y} - intercept is 0.
What is function? What is expression?A function is a relationship between a dependent {y} and independent variable {x}.An expression is a combination of terms both constants and variables.Given is a table as shown in the image.
The slope of the straight line is unit rate at which the {y} - value varies with respect to the {x] - value.The {y} - intercept is the point where the graph cuts the {y} - axis.We can write the slope as -
m = Δy/Δx
m = (0 - 4)/(0 + 3)
{m} = -4/3
and
{y} - intercept = 0
Therefore, the slope of the line is -4/3 and the {y} - intercept is 0.
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NEED HELP ASAP PLS AND THX PIC IS ATTACHED
The measure of the hypotenuse of the right-angle triangle is 53.21 feet.
Given that:
Perpendicular, P = 50 feet
Angle, Ф = 70°
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The measure of the hypotenuse of the right-angle triangle is calculated as,
sinФ = P/H
sin 70° = 50 / x
x = 53.21 feet
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a round mirror has a circumference of 87.92 inches. calcuate the area of the mirror. use 3.14 for pi. round answersto the nearest hundredth if necessary
Answer:
615.75
Step-by-step explanation:
you divide 87.92 by pi (3.14 in this case) to get diameter, which you divide by 2 to get the radius to solve for area which you get 615.75
Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Answer:
\(x = y = z = 20\)
Step-by-step explanation:
Given
\(Volume = 8000cm^3\)
Required
Determine the dimensions that minimizes the surface area.
Surface area of a box is;
\(S = 2(xy + xz + yz)\)
Volume of a box is:
\(V = xyz\)
Make z the subject
\(z = \frac{V}{xy}\)
Substitute 8000 for V
\(z = \frac{8000}{xy}\)
Substitute 1000/xy for z in \(S = 2(xy + xz + yz)\)
\(S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})\)
\(S = 2(xy + \frac{8000}{y}+\frac{8000}{x})\)
Expand:
\(S = 2xy + \frac{16000}{y}+\frac{16000}{x}\)
\(S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})\)
Differentiate S w.r.t x
\(\frac{dS}{dx} = 2y - \frac{16000}{x^2}\)
Differentiate S w.r.t y
\(\frac{dS}{dy} = 2x - \frac{16000}{y^2}\)
Equate both differentiation to 0
\(2x - \frac{16000}{y^2} = 0\)
Multiply through by \(y^2\)
\(2xy^2 - 16000 = 0\)
\(2xy^2 = 16000\)
Divide through by 2
\(xy^2 = 8000\) -- (1)
\(2y - \frac{16000}{x^2} = 0\)
Multiply through by x^2
\(2x^2y - 16000 = 0\)
\(2x^2y = 16000\)
Divide through by 2
\(x^2y = 8000\) --- (2)
Divide (1) by (2)
\(\frac{x^2y = 8000}{xy^2 = 8000}\)
\(\frac{x}{y} = 1\)
\(x = y\)
Substitute y for x in (1)
\(x^2y = 8000\)
\(x^2 * x = 8000\)
\(x^3 = 8000\)
Take cube roots
\(x =20\)
Hence;
\(x = y = 20\)
Recall that:
\(z = \frac{8000}{xy}\)
\(z = \frac{8000}{20 * 20}\)
\(z = 20\)
Hence, the dimension of the box that minimizes the surface area of the box is:
\(x = y = z = 20\)
please help i will give brainliest
Answer:
the opposite of 8
Step-by-step explanation:
Correct answer please
Answer:
50.75
Step-by-step explanation:
We have:
\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)
\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)
Evaluate the function to answer the question.Botanists have determined that some species of weed grow in a circular pattern. For one such species, the area A, in square meters, can be approximated by A(t) = 0.005t2, where t is the time in days after the growth of the weed first can be observed. Find the area (in square meters) this weed will cover 110 days after the growth is first observed. Round to the nearest square meter. ______m2
Consider the given function,
\(A(t)=0.005\pi t^2\)This function gives the area (A) covered by weed 't' days after the weed growth is first observed.
The area covered by weed after 110 days is calculated as follows,
\(\begin{gathered} A(110)=0.005\pi(110)^2 \\ A(110)=0.005\cdot\frac{22}{7}\cdot(110)^2 \\ A(110)\approx190 \end{gathered}\)Thus, the area after 110 days is approximately 190 square meters.
The area of a rectangle is 259 cm sq and its length is 18.5cm find its breadth and perimeter
Answer:
Step-by-step explanation:
let it's breadth be x
area of rectabgle=l*b
259=18.5*b
259/18.5=b
14=b
perimeter of rectangle=2(l+b)
=2(18.5+14)
=2*32.5
=65 cm
Answer:
Breadth = 14 cm
Perimeter = 65 cm
Step-by-step explanation:
Length = \(18.5cm\)Area = \(259cm^{2}\) = l * b
Therefore, breadth = area / length
Breath = 259 / 185 = 1.4 * 10 = 14 cm
Perimeter = 2 * (l + b)Perimeter = 2 (18.5 + 14)
Perimeter = 2 (32.5)
Therefore, perimeter = 65 cm
I hope this helps :)
45. A 5-foot log leans against a wall and inclines at a 45° angle from the ground. What expression will
solve the distance between the base of the log to the base of the wall?
A. sin 45
B. cos 45
C. tan 45
D. csc 45
46. What trigonometric ratio can we use to solve for the height of a building given the distance between
the observer and the base of the building and its angle of elevation?
A. Sine
B. Cosine
C. Tangent
D. Secant
47. With the sun, a girl 1.4 m tall casts a 3.6 m shadow. Find the angle of elevation from the tip of
the shadow to the sun.
A. 18°
B. 19°
C. 20°
D. 21°
48. What formula is used to solve the problem: "Find zB in an oblique triangle ABC with the
following measures: A = 50°, a = 15 and b = 10."
A. Sine Law
B. Cosine Law
C. Tangent Law
D. Cosecant Law
49. In an oblique triangle XYZ, ZX = 63°, x = 139 and y = 140. Find
A: 100°
B. 64°
C. 60°
D. 45°
50. What formula will solve: "Jackie and Peter skate apart with an angle of 15° between them.
Jackie skates for 5 meters and Peter skates for 7 meters. How far apart are the skaters?
A. d² = 52+72-2(5)(7) cos 15
C. 7² = 52+d²-2(5)(d) cos 15
B. 52= d²+72-2(d)(7) cos 15
D. 152=52+72-2(5)(7) cos
Answer: it was be cos4
Step-by-step explanation: 1/2 divided by 3/4 = cos4
Evaluate 3(x+4)(x+1)/(x+2)(x-2) if x = 4 a.-10
B.10/3
C.-10/3
D.10
The solution of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
What is expression?An expression is a combination of numbers, symbols, variables, indeterminates, function. It is usually not present in equal to form. It expresses some relationship between variables.
How to evaluate expression?The expression which is given as 3(x+4)(x+1)/(x+2)(x-2) and we have to find the value at x=4.
To find the value of expression at x=4 we have to put the value of x=4 in the expression.
at x=4, 3(4+4)(4+1)/(4+2)(4-2)
=(3*8*5)/6*2
=120/12
=10
Hence the value of expression 3(x+4)(x+1)/(x+2)(x-2) at x=4 is 10.
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what is AE
AB=10
AE=2a + 10
ED=x + 3
CD=4
Enter you answer In the box
The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.
To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.
Given:
AB = 10
AE = 2a + 10
ED = x + 3
CD = 4
Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.
We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.
AE + ED = 6.
Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.
To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:
AE = 6 - x - 3.
Simplifying further, we get;
AE = 3 - x.
Therefore, the value of AE is 3 - x.
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HELLLPP ME PLEASSEEE!!!!!
Consider the two circles shown.
To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about its center by a scale factor of s.
What are the values of t and s?
Show me:
(t) What is the horizontal distance between the center of circle P to the center of circle Q?
(s) What is the scale factor dilating from circle P to circle Q?
The similar circles P and Q can be made equal by dilation and translation
The horizontal distance between the center of circles P and Q is 11.70 unitsThe scale factor of dilation from circle P to Q is 2.5The horizontal distance between their centers?From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
The scale factor of dilation from circle P to QWe have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
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Find slope of line please no links
Answer:
Step-by-step explanation:
Using
Point A: x= 1 and y=3
And point B: x=-2 and y=-6
use equation of slope and substitute the values
Slope= YB-YA/Xb-Xa
= -6-3/-2-1
=3
Unions, intersections, and complements involving 2 sets
Sets B and C are subsets of the universal set U.
These sets are defined as follows.
U={f, k, m, s, x, y, z)
B={k, s, y}'
C={s,z}
(a) B'UC' = 1
(b) B'nc =
Intersection of B'∩C = {k, y}
To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.
1. Complement of set B (B'):
The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.
2. Intersection between B' and C:
Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.
The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.
So, the answer to (b) is B'∩C = {k, y}.
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Multiply: 3,217 × 5,716
Answer:
Step-by-step explanation:
183,883,72
Answer:
18388372
Step-by-step explanation:
1 )Use the algorithm method.
3 2 1 7
× 5 7 1 6
1 1 1 4
1 9 3 0 2
3 2 1 7 0
2 1 1 4
2 2 5 1 9 0 0
1 1 3
1 6 0 8 5 0 0 0
1 1 1
1 8 3 8 8 3 7 2
==================step 2==================2 )Therefore, 3217 × 5716 = 18388372.
18388372
Which choice shows the product of 22 and 49?
Product of 22 and 49 is
(22)(49) = 1078
Option C
Given :
the product of 22 and 49
Explanation :
We need to find which option is correct to find product of 22 and 49
Product mean multiplying the numbers
so we need to multiply 22 and 49
22
49
----------
198
88
-------------
1078
So the product of 22 and 49 is 1078
(22)(49)=1078
Option C is correct
Write the log equation as an exponential equation. You do not need to solve for x.
log, (2) = 2x - 1
Answer:
2 = 10^(2x-1)
Step-by-step explanation:
Imma assume the "," is 10,
So basically, it's just 2 = 10^(2x-1) I think, sorry if I'm wrong tho
Use the formula A = bh to find the area, in square meters, of the parallelogram below.
9
12 m
m²
18m
The Parallelogram area is 96 square meters.
We have,
The area of a parallelogram is given by the formula A = bh, where b is the length of the base and h is the height.
In this case,
The base of the parallelogram is the length of one of its parallel sides, which is 12 m.
The height of the parallelogram is given as 8 m.
Therefore, the area of the parallelogram is:
A = bh
A = 12 m x 8 m
A = 96 square meters
Thus,
The Parallelogram area is 96 square meters.
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please answer please
Answer:
The results were believed to be inaccurate, thats what I would choose hoped it was correct and helped
Answer:
The results were believed to be inaccurate ( should be correct )
Step-by-step explanation:
Please help me ASAP I’ll mark Brainly
Answer:
0.85
Step-by-step explanation:
3.4 / 4 = 0.85
Hope that helps!