The probability that the card will be a spade or a club 50%
Probability in math is referred as how likely an event is to occur, or how likely it is that a proposition is true.
Here we have given that a card is drawn from a standard deck of 52 playing cards.
And we need to find the probability that the card will be a spade or a club and we have to express your answer as a fraction or a decimal number rounded to four decimal places.
While we looking into the given question, we have identified the the total number of cards is 52.
And the number of spade cards = 13 and the number of club cards = 13
Therefore, the total number of spade and club cards
=> 13 + 13
=> 26
Therefore, the probability of getting a spade or a club from a single draw is,
=> 26/52
When we simplified this one, then we get,
=> 0.5
When we convert this into percentage then we get
=> 50%.
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What is the measure of ABC
Answer:
Step-by-step explanation:
find x
7x+10=2x+40+3x
2x=30
x=15
ABD = 7(15)+10 = 115
ABD + ABC =180
115+ABC=180
ABC=65
1-7
bio
Triangle ABC is translated according to the rule (x, y) → (x + 2, y - 8). If the coordinates of the pre-image of point B
are
(4,-5), what are the coordinates of B'?
O (2, 3)
O (1,-9)
O (-3,-4)
O (6,-13)
According to the translation rule (x, y) → (x + 2, y - 8), B (4,-5) will be transformed to B'
O (6,-13)
How to determine the coordinates of B after transformationA transformation known as a translation involves moving each point in a figure uniformly and in the same direction.
information from the question
Transformation rule (x, y) → (x + 2, y - 8)
B is at 4, negative 5 = B (4, -5)
The transformation rule gives
point B (4, -5)
applying the rule
x' = 4 + 2 = 6
y' = -5 - 8 = -13
The coordinates of point B' (x', y') after translation is = B'(6, -13)
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If θ is an angle in standard position and its terminal side passes through the point (2,-1), find the exact value of \tan\thetatanθ in simplest radical form.
The exact value of tanθ is -1/2
What is the trigonometric ratio?
Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.
Given:
θ is an angle in standard position and its terminal side passes through the point (2,-1).
To find:
The exact value of tanθ in simplest radical form.
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
tanθ = y/x
It is given that, θ is an angle in standard position and its terminal side passes through the point (2,-1),. So, t he exact value of tanθ is:
tanθ = -1/2
Therefore, the required value is tanθ = -1/2
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Score: /1 Attempts: 30. For a perfectly symmetrical distribution, which relationship... For a perfectly symmetrical distribution, which relationship is always true? 9 Mean = median = mode Median= mode O Mean mode O Mean - median
For a perfectly symmetrical Distribution, the perfect relationship is
Mean = Median.
A symmetric distribution is when the values of a variable occur with regular frequency, often the mean, median, and mode all occurring at the same point. A line in the middle of the chart indicates that the two planes are mirror images of each other. In graphical form, symmetric distributions are displayed as normal (that is, bell-shaped) distributions. Symmetric distribution is a central concept in technical trading as it assumes that the price movements of an asset over time follow a symmetric distribution curve.
A symmetric distribution can be contrasted with an asymmetric distribution. Asymmetric distributions are probability distributions that are skewed or otherwise irregular in shape.
The Properties of Symmetrical distribution is :
Mean.MedianMode.Mean:
In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values (magnitude and sign) of a particular data set.
For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean is denoted by μ.
Median:
The median is the number in the middle of a sorted ascending or descending list of numbers that better describes the data set than the mean. This is the point above and below which half (50%) of the observed data lies, representing the midpoint of the data. Often compared to descriptive statistics.
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evaluate the following expression for x=8
a. 82
b.178
c.854
d. 188
Answer:
178
Step-by-step explanation:
SORRY IF ITS WRONG IM BAD AT MATH :(
The population of pets in Mr. Jones neighborhood in Bartlett has declined in the pass year by roughly 30%. Residents hypothesize that this is due to predation by coyotes. The current pets in Mr. Jones neighborhood is 90. Approximately how many pets were there originally?
Answer:
128 4/7
Step-by-step explanation:
100%-30%=70%
90=.7X
900=7X
128 4/7=X
which quadratic equation fits the data in the table?
Answer:
x^2 - x +3, aka the last option
Step-by-step explanation: y intercept is positive in the table, and leaves us with the first option and the last option. plugging in 3 gets the right answer of 9 for the last choice and gives 15 for the first choice
I am too tired to think, please help my daughter finish her homework
Answer: 3(p-5) + 2s
Step-by-step explanation:
Let p represent the henna powder, we know that she has a discount of $5 dollar for every henna powder, and she will buy 3.
So the equation is 3(p-5), plus the two bottles, we get the equation
3(p-5) + 2s
how is jamal's wealth affected by an investment when the stakes are small? it is affected by a small amount in either a positive or a negative direction. it is affected more if the probability is great than if the probability is small. it is impacted more if the return is positive than if it is negative. it is impacted by a great deal in either a positive or a negative direction.
Jamal's wealth will be affected positively and negatively depending on the investment probability
If Jamal makes a small investment and the stakes are small, the small amount can affect his wealth in a positive or negative direction. The magnitude of the impact depends on the investment's probability of success and the investment's potential return.
If the probability of success is high and the potential return is positive, the impact on Jamal's net worth could be greater. On the other hand, a low probability of success and a negative potential return may have less impact on Jamal's fortunes.
Ultimately, the impact of a small investment on Jamal's wealth will depend on the specific details of the investment and the associated risks and potential rewards.
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what percentage of observed variation in hardness can be explained by the linear relationship between hardness and elapsed time? (round your answer to one decimal place.)
95.1% of the proportion of observed variation in hardness can be explained by the simple linear regression model relationship between hardness and elapsed time.
Linear regression model:
In statistics, linear regression model defined the relationship between a dependent variable, y, and one or more independent variables, X.
Given,
Here we need to find the percentage of observed variation in hardness can be explained by the linear relationship between hardness and elapsed time.
In order to find the percentage we must know the definition of observed variation which means the combined variation that is derived from all sources.
In order to solve this let us consider that the linear regression model is used by statisticians to predict the value of the response variable for given values of the predictor variables.
So, if there are two variables involved in the regression analysis, then the model is called a bivariate one.
Where as If there are more than two independent variables, then the regression model is known as the multiple regression model.
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Puzzle #2
Use the digits -9 to 9 to complete the puzzle below. Try all the combinations. But as you begin doing that, you will realize that in some cases you are looking for factor combinations with a particular sum or difference. You will see that some numbers have to be greater than a particular value in order to produce the product you are looking for. Show your work to confirm your solution.
( i dont normally ask questions on here but this has been frying my brain for the last hour. help would be appreciated.)
The completed equation of complex numbers in the puzzle is presented as follows;
(5 - 6·i) × (2 + 4·i) = 34 + 8·i
What are complex numbers?Complex numbers are numbers that have a real number part and an number imaginary part.
The formula form the multiplication of two complex numbers is presented as follows;
(a + i·b) × (c + i·d) = (a·c - b·d) + i·(a·d + b·c)
The specified equation is; (_ + _i) × (_ + _i) = 34 + 8·i
Therefore; (a·c - b·d) = 34
(a·d + b·c) = 8
Making a the subject, we get;
(34 + b·d)/c = (8 - b·c)/d
34·d + b·d² = 8·c - b·c²
b·d² + b·c² = 8·c - 34·d
b = (8·c - 34·d)/(d² + c²)...(1)
Similarly, making c the subject, we get;
(34 + b·d)/a = (8 - a·d)/b
34·b + b²·d = 8·a - a²·d
b²·d + a²·d = 8·a - 34·b
d = (8·a - 34·b)/(b² + a²)...(2)
The values of b and d which are whole numbers larger than or equal to -9 and less than or equal to 9, obtained using MS Excel are;
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8
Obtaining the whole number digit for b from equation (1) and plugging in the value of b in equation (2), to obtain the value of d with which the value of b was obtained, we should get;
a = 5, b = -6, c = 2, and d = 4
Which indicates that we get;
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what is n 3(–4n – 9) = 21
Answer:
n=-4
Step-by-step explanation:
3(-4n-9) = 21
_________ ____
3 3
-4n-9=7
-4n=16
__ __
-4n -4n
n= -4
Answer: n= -4
Step-by-step explanation:
1: Distribute: 3(-4n - 9)= 21 so, -12n - 27= 21
2: Add 27 on both sides: -12n - 27 = 21
+27 = +27
3: Level: -12n = 28
4: Divide both sides by the same factor: -12n = 48
------ = ----
-12 - 12
5: Level again: n = -4 because 48/(-12) is -4.
(the question is on the image)
Congruent triangle: The values of x, y, and z are x = 23; y = 7 and z = 11.
What is a congruent triangle?
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
Given: ΔPRS ≅ ΔCFH
Since both triangles are congruent, m<R = m<F
m<F is a right angle = 90°.
Thus, 13y - 1 = 90
13y = 90 + 1
13y = 91
y = [tex]\frac{91}{13}[/tex]
y = 7
Also, by inspection
PS = CH
⇒ 2x - 7 = 39
⇒ 2x = 39 + 7
⇒ 2x = 46 ⇒ x = [tex]\frac{46}{2}[/tex]
x = 23
Since m<R is 90°, then
m<S = 180 - (90 + 28)
m<S = 62°
By inspection,
m<S = m<H
Thus,
⇒ 6z - 4 = 62
⇒ 6z = 66
z = [tex]\frac{66}{6}[/tex]
z = 11
Hence, x = 23, y = 7 and z = 11.
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What is the smallest degree of rotation that will map a regular 16-agon (a 16 sided figure) onto itself?
The smallest degree of rotation that will map a regular 16-agon onto itself is 22.5 degrees.
What is a degree?
A degree is a unit of measurement used to express angles. It is defined as 1/360th of a full rotation, or 1/2π radians.
To see this, note that a regular 16-agon has 16 sides, and each angle between sides measures 180(16-2)/16 = 135 degrees. Therefore, to rotate the 16-agon so that it maps onto itself, we must rotate it an integer multiple of 135 degrees.
However, we want the smallest such angle, so we must find the smallest integer multiple of 135 degrees that is greater than or equal to 360 degrees (since a full rotation maps the figure onto itself). The smallest such multiple is 2, which is equal to 270 degrees.
The smallest degree of rotation that will map the 16-agon onto itself is 270 degrees / 2 = 135 degrees / 2 = 22.5 degrees.
Hence, The smallest degree of rotation that will map a regular 16-agon onto itself is 22.5 degrees.
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if my overall grade is 44 percent and a test is worth 60 percent of my grade and i get 50 percent on a test what would my overall grade be now?
Answer:
Step-by-step explanation:85 percent with equals a b
A second investment account starts with $2,000 and grows by $150 each year. How much money would be in this account in 10 years?
Answer: He would have $1,500 alone from making $150 each year, and the total would be $3,500.
Step-by-step explanation: To find how much money he makes in 10 years (not including the $2,000) we would multiply 150 by 10 to get 1500.
Now, we need to add 2000 + 1500, and we get 3,500.
I hope this helps!
an automobile assembly line runs for 9 3/4 hours each day. employees work 3/4-hour shifts. how many shifts are there in each day
A. 9 shifts
B. 10 shifts
C. 12 shifts
D. 13 shifts
Answer:
D 13 shirt
Step-by-step explanation:
9 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]\frac{39}{4}[/tex] x [tex]\frac{4}{3}[/tex] = 13
sara wonders what percentage of her students answered at least half of the quiz questions incorrectly. the relative cumulative frequency of students who earned a score of 20 or lower on the quiz is . 14% 68% 28% 34%
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is: B. 68%.
What is a frequency table?In Mathematics and Statistics, a frequency table can be used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.
How to calculate cumulative frequency?In Mathematics and Statistics, the cumulative frequency of a data set can be calculated by adding each frequency from a frequency distribution table to the sum of the preceding frequency. Thus, the relative cumulative frequency would be calculated as follows;
Cumulative frequency of students = 4 + 8 + 15 + 7 = 34.
Cumulative frequency of students = 34.
Total frequency = 4 + 8 + 15 + 7 + 7 + 3 + 4 + 2
Total frequency = 50.
Therefore, the relative cumulative frequency can now be determined;
Relative cumulative frequency = 34/50
Relative cumulative frequency = 0.68 or 68%
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Answer:
68%
Step-by-step explanation:
Got it right.
When matter burns: Mechanical energy is changed to heat energy. Light energy is changed to heat energy. Chemical energy is changed to heat energy.
Answer:
Chemical energy is changed to heat energy.
Step-by-step explanation:
(3.65u − 11) − (−5 + 8.7u)
Answer:
73u/ - 11
Step-by-step explanation:
Answer:
-5.05. U -6
Step-by-step explanation:
Distribute the Negative Sign:=3.65u−11+−1(−5+8.7u)=3.65u+−11+(−1)(−5)+−1(8.7u)=3.65u+−11+5+−8.7uCombine Like Terms:=3.65u+−11+5+−8.7u=(3.65u+−8.7u)+(−11+5)=−5.05u+−6
is the line through (-2, 4, 0 and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (3, 21, -8)?
AB is not perpendicular to CD
What does perpendicular mean ?Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.
Does perpendicular means opposite?Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.
Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)
(-1,3,-1) for AB
(-1,-18,12) for CD
For the lines AB and CD to be perpendicular
a 1a2+b1b2+c1c2=0
-1(-1)+3(-18)+(-1)(12)
=1-54−12=-65not equal to 0
∴ AB not perpendicular to CD
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television viewers often express doubts about the validity of certain commercials. in an attempt to answer their critics, a large advertiser wants to estimate the true proportion of consumers who believe what is shown in commercials. preliminary studies indicate that about 40% of those surveyed believe what is shown in commercials. what is the minimum number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the true population proportion? a) 2305 b) 2327 c) 2285 d) 2317 e) 2292 f) none of the above
2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.
Given that,
TV viewers frequently doubt the validity of particular advertising. In an attempt to counter their critics, a large advertiser wants to determine the true proportion of consumers who believe what is depicted in ads. About 40% of individuals examined, according to preliminary studies, seem to believe what is depicted in advertisements.
We have to find what is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.
We know that,
Let
Population proportion (p)= 0.40
Margin of error = 2% = 0.02
Confidence level = 95% = 0.95
α = 1- 0.95 = 0.05
α/2 = 0.025
Let's find out the Z critical value using excel for the 95% confidence level,
Use the following excel command.
= ABS(NORMSINV(α/2))
= ABS(NORMSINV(0.025))
We will get, Z critical value = 2.17009
Sample size (n) = p(1-p)×(Zα/2)/E
n = 0.40(1-0.40)({2.17009}÷{0.05})²
Sample size (n) = 2327
Therefore, 2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.
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How many solutions does this system of equations have?
Responses
Exactly two
Exactly two
None
None
Infinitely many
Infinitely many
Exactly one
Exactly one
Graph of a system of linear equations. Equation 1 is negative x plus 2y equals 6. Equation 2 is negative x plus 2y equals 0. The graphs of the lines are parallel.
Answer: Answer is NONE
Step-by-step explanation:
I took the test
find the weight of a pumpkin hanging from two scales, if scale one reads 44 n, scale two reads 46 n, and the angle θ between the strings coming from the two scales is 72 degrees.
The pumpkin hangs between the two scales and weighs 58.77 N.
Explain the term resultant force?The entire force operating on the item or body, combined with the body's direction, is referred to as the resultant force. Once the object is at rest or moving at the same speed as the object, then resultant force is zero.The given data is-
a = 44 N when reading from scale one.b = 46 N when reading on scale two.Ф = 72° is the angle between both the two scales.The result of the 2 scale readings is equal to the weight of a pumpkin swinging from the two scales.
The two forces combine to create resultant force;
R² = a² + b² - 2abcos(θ)
R² = 44² + 46² - 2(44)(46)cos(72)
R² = 3454.97
R = 58.77
Consequently, the pumpkin's weight on the two scales is 58.77 N.
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you toss a pair of six-sided dice. (a) determine the number of possible pairs of outcomes. (recall that there are six possible outcomes for each die.)
36 is the number of possible pairs of outcomes by probability.
What is a probability answer?
Mathematics' branch of probability, where probability is the likelihood that any event will occur, deals with the occurrence of random events.
The probability value is given as a number between 0 and 1. Probabilities are always between 0 and 1. The basic probability formula is: Probability = Number of Favorable Outcomes / Total Number of Outcomes.
We have two dice in this question. A die is known to be make up of 6 faces.
Therefore the number of faces for two dice = 6*6 = 36
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Complete the table of values below: x -2 -1 0 1 2 3 f(x)=(1/3)^x -2 ANSWER
-1 ANSWER
0 ANSWER
1 ANSWER
2 ANSWER
9, 3, and 1 are the values of a, b, and c using the exponential function g(x)=(1/3)∧x.
What are exponential functions?A mathematical function with the formula f (x) = an x is an exponential function.
Where x is a variable, and an is a constant called the basis of the function.
The most typically seen exponential-function base is the transcendental number e, which is equivalent to about 2.71828.
So, the exponential function:
g(x) = (1/3)∧x
From the table, we are also to find out the value of a, b and c
If x = -2
g(-2) = a = (1/3)⁻²
a = 1/3⁻²
a = 9
Accordingly,
If x = -1
g(-1) = b = (1/3)⁻¹
a = 1/3⁻¹
b = 3
Hence,
If x = 0
If x = -1
g(0) = c = (1/3)⁰
c = 1
Therefore, 9, 3, and 1 are the values of a, b and c using the exponential function g(x) = (1/3)∧x.
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Complete question:
Complete the table of values for the function.
f(x) = ( 1/3) ^x
a=
b=
c=
PLS HELP I AM OFFERING 50 POINTS
The midpoints of the sides of a triangle are given. find the vertices of the original triangle. explain your process and how you can check the answer
P (2, 1), Q (4, 5), R(7, 4)
please explain how to solve this
Answer:
Step-by-step explanation:
Step 1
1 of 5
Graph the three points and connect them to create the mid segments of the triangle:
Use midsegments of triangles in the coordinate plane.
Use the Triangle Midsegment Theorem to fi nd distances.
Using the Midsegment of a Triangle
A midsegment of a triangle is a segment that connects the
midpoints of two sides of the triangle. Every triangle has
three midsegments, which form the midsegment triangle.
The midsegments of △ABC at the right are MP —, MN —,
and NP —. The midsegment triangle is △MNP.
Using Midsegments in the Coordinate Plane
In △JKL, show that midsegment MN — is parallel to JL —
and that MN =
1
—2 JL.
SOLUTION
Step 1 Find the coordinates of M and N by fi nding
the midpoints of JK — and KL —.
M (—
−6 + (−2)
2
, —
1 + 5
2
) = M ( −8 —
2
, 6
—
2
) = M(−4, 3)
N (—
−2 + 2
2
, —
5 + (−1)
2
) = N ( 0
—
2
, 4
—
2
) = N(0, 2)
Step 2 Find and compare the slopes of MN — and JL —.
slope of MN —= —
2 − 3
0 − (−4) = −
1
—
4
slope of JL — = —
−1 − 1
2 − (−6) = −
2
—
8
= −
1
—
4
Because the slopes are the same, MN — is parallel to JL —.
Step 3 Find and compare the lengths of MN — and JL —.
MN = √——
[0 − (−4)]2 + (2 − 3)2 = √—
16 + 1 = √—
17
JL = √———
[2 − (−6)]2 + (−1 − 1)2 = √—
64 + 4 = √—
68 = 2 √—
17
JL = √———
[2 − (−6)]2 + (−1 − 1)2 = √—
64 + 4 = √—
68 = 2 √—
17
Because √—
17 =
1
—2
(2 √—
17 ) , MN =
1
—2 JL.
Monitoring Progress onitoring Progress Help in English and Spanish at BigIdeasMath.com
Use the graph of △ABC.
1. In △ABC, show that midsegment DE — is parallel
to AC — and that DE =
1
—2 AC.
2. Find the coordinates of the endpoints of
midsegment EF —, which is opposite AB —. Show
that EF — is parallel to AB — and that EF =
1
—2 AB.
READING
In the fi gure for Example 1,
midsegment MN — can be
called “the midsegment
opposite JL —.”
midsegment of a triangle,
p. 330
Previous
midpoint
parallel
slope
coordinate proof
Core Vocabulary Core Vocabulary
A C
P
N
M
B
x
y
4
6
−2
−6 −4 −2
M
N
K(−2, 5)
J(−6, 1)
L(2, −1)
x
y
−4
−6
−2 2 4 6
D
E
C(5, 0)
B(−1, 4)
A(
Calculate the double integral.
3xy2
x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
iintegral.gif
R
the double integral.3xy2 x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
∫∫3xy2 dx dy = 16
We start by calculating the limits of integration. The given region, R, is bounded by 0 ≤ x ≤ 1 and −2 ≤ y ≤ 2. This means that the double integral is:
∫∫3xy2 dx dy = ∫0→1∫-2→2 3xy2 dx dy
Next, we will calculate the integral with respect to x. We can easily do this by integrating 3xy2 with respect to x. This gives us the following:
∫0→1 3xy2 dx = x3y2 + c
Now, we can substitute this expression into the double integral, giving us:
∫∫3xy2 dx dy = ∫0→1 (x3y2 + c) dy
Finally, we can integrate this expression with respect to y, giving us the following:
∫∫3xy2 dx dy = x3y3 + cy + d
Now, we can substitute the limits of integration into this expression, giving us the following:
∫∫3xy2 dx dy = 1(32) + c(-2) + d = 16
therefore, the double integral is equal to 16.
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-6x – 9y = 0
-24x = 36y
infinite
none
or one solution?
Answer:
No solution
Step-by-step explanation:
-6x - 9y = 0
-24x -36y = 0
Multiply the top equation by -4 and add that to the second equation
24x + 36y = -4
-24x - 36y = 0
0 + 0 = -4
0 ≠ -4 Since this is a false statement, the answer is no solution.
Find the sales tax. Sales Tax Selling Price Rate of Sales Tax Sales Tax
$40.00
8%
The sales tax is $
The sales tax on the good based on the selling price that is given will be $3.20.
How to calculate the sales tax?It should be noted that the sales tax simply means the tax that's levied on the goods and services that are sold by.
Based on the information given, the following can be deduced:
Sales tax Percentage = 8%
Price of good = $40
In this situation, in order to calculate the sales tax, we will have to multiply the sales tax percentage by the amount of the good which is the selling price. This will be:
Sales tax = Sales tax percentage × Price
Sales tax = 8% × $40
Sales tax = 0.08 × $40
Sale tax = $3.20
Therefore, the sales tax is $3.20.
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