3.142*4.5²=63.6255
Answer=63.63
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment..
A gym membership costs $37 to join and $19 each month. Write and use an algebraic expression to find the cost of the gym membership for 8 months.
(Show work)
Step-by-step explanation:
A gym membership costs $37 to join and $19 each month. Write and use an algebraic expression to find the cost of the gym membership for 8 months.
x = month
cost = 19x + 37
cost = 19(8) + 37
cost = $189
Answer:
19m+37
$189 for 8 months
Step-by-step explanation:
$37 is the flat fee and it only needs to be paid once so we just add it
Since it’s 19 per month we should use variable m for the amount of months
So the expression will be 19m+37
Since it’s 8 months we replace m with 8
19(8)+37
152+37
189
Hopes this helps please mark brainliest
the square region shown has been partitioned into 5 identical rectangular regions. if the perimeter of each of the rectangular regions is 30, what is the perimeter of the square region?
Given that the square region has been partitioned into 5 identical rectangular regions, and the perimeter of each rectangular region is 30. We are to find the perimeter of the square region.
As we know that the perimeter of a rectangle is given by P= 2 (l + b)
Let's say the length of the rectangle is 'l' and the breadth of the rectangle is 'b'. Since the five rectangular regions are identical, all of them will have the same length and breadth. Let's take the length and breadth of each rectangular region as x and y respectively. So, the perimeter of each rectangular region is given by P = 2(x + y) = 30Given P = 30, we get2(x + y) = 302x + 2y = 30x + y = 15... equation (1)
We know that the square region is partitioned into 5 identical rectangular regions. Therefore, the length of the square region will be 5 times the length of the rectangular region and the breadth of the square region will be the same as the breadth of the rectangular region. So, length of the square region = 5x, and breadth of the square region = y.
The perimeter of the square region = 2(5x + y) = 10x + 2yAs we know that x + y = 15 (from equation 1)So, 10x + 2y = 10(x + y) + 8y= 10(15) + 8y= 150 + 8y. Therefore, the perimeter of the square region is 150 + 8y.
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Find the volume and surface area of the figure below.
The volume of the prism is determined as 1,416 m³ and the surface area of the prism is 664.8 m².
Volume of the prismThe volume of the prism is determined from the product of base area and slant height of the prism.
Base of the prism, A = ¹/₂bh = ¹/₂ x 12 x 20 = 120 m²
Volume = AL
where;
L is the slant heightL² = (12/2)² + (20.3/2)²
L² = 6² + 10.15²
L² = 139.0225
L = 11.8 m
V = AL
V = 120 x 11.8 = 1,416 m³
Surface area of the prismA = bh + pL
A = (12 x 20) + 11.8(12 + 12 + 12)
A = 664.8 m²
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Factor the Trinomial 6x^2 + x - 40
(And please show the work/steps.)
Interpreting the intercept in a sample regression function is O reasonable if your sample contains values of X_i around the origin. O not reasonable because economists are interested in the effect of a change in X on the change in Y. O not reasonable because you never observe values of the explanatory variables around the origin. O reasonable because under certain conditions the estimator is BLUE.
The intercept interpretation is reasonable if the sample contains values of X around the origin.
The interpretation of the intercept in a sample regression function can be considered reasonable if the sample contains values of the explanatory variable (X) around the origin.
The intercept represents the estimated value of the dependent variable (Y) when all explanatory variables are zero. If the sample includes observations with X values close to zero, the intercept can provide insights into the baseline level of the dependent variable.
However, it's important to note that economists are typically interested in examining the effect of a change in X on the change in Y, rather than the specific value when X is zero. In some cases, the interpretation of the intercept as the baseline value may be valid, but it depends on the context and specific conditions.
The assertion that the intercept interpretation is reasonable because the estimator is Best Linear Unbiased Estimator (BLUE) under certain conditions is incorrect and unrelated to the interpretation of the intercept.
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Please see the image below(math)
Answer:
21
Step-by-step explanation:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
AD AH
----- = ---------
AB AH +y
3 9
---- = ------
10 9+y
Using cross products:
3(9+y) = 9*10
27+3y = 90
3y = 90-27
3y =63
y = 63/3
y = 21
Answer:
y = 21
Step-by-step explanation:
According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.
Therefore, according to the Side Splitter Theorem:
\(\boxed{\sf AD : DB = AH : HC}\)
From inspection of the given triangle, the lengths of the line segments are:
AD = 3DB = 7AH = 9HC = yTo find the value of y, substitute the given line segment lengths into the proportion and solve for y:
\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)
Therefore, the value of y is 21.
What type of number is 101,323?Choose all answers that apply:AWhole numberBIntegerRationalIrrational
Given the number 101,323?
The correct options are:
Whole number because there is no decimal point.
Integer because there is no decimal point.
Rational because can be written as a/b
So, the answer is options A, B, and C.
(x+4)(1+x-2) standard form
What is the slope intercept equation of the line shown below
The slope of the given line is -1.
Given is a line passing through the points (-2, 3) and (4, -3) we need to find the slope of the line,
Slope = y₂ - y₁ / x₂ - x₁
Here, (x₁, y₁) and (x₂, y₂) are (-2, 3) and (4, -3),
So, the slope of the line =
Slope = -3-3 / 4+2
= -6 / 6
= -1
Hence, the slope of the given line is -1.
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515151 divided by 333 is kkk.
515151÷333 = 1547
Thanks.....
Answer:
Step-by-step explanation:
It was on khan :)
Seriously cannot figure this out please help now
Answer:
x = 4 ; a = 15 ; b= -2
Step-by-step explanation:
Determine whether the matrix is in row-echelon form. if it is, determine whether it is also in reduced row-echelon form. (select all that apply.) 2 0 0 0 0 1 1 6 0 0 0 0
The given matrix is in row-echelon form, but it is not in reduced row-echelon form. The given matrix is:
2 0 0 0
0 1 1 6
0 0 0 0
To determine if it is in row-echelon form, we need to check the following conditions:
1. All rows consisting entirely of zeros are at the bottom: In the given matrix, the third row consists entirely of zeros and is located at the bottom, so this condition is satisfied.
2. The first nonzero entry in each row, called a leading entry, is always strictly to the right of the leading entry in the row above it: In the given matrix, the leading entry in the second row is 1, which is to the right of the leading entry in the first row (which is 2). So this condition is satisfied.
3. Any rows of all zeros are at the bottom: Again, in the given matrix, the third row consists entirely of zeros and is located at the bottom, satisfying this condition.
Therefore, the given matrix is in row-echelon form.
To determine if it is also in reduced row-echelon form, we need to check one additional condition:
4. Each leading entry is 1, and each leading 1 is the only nonzero entry in its column: In the given matrix, the leading entries are 2 and 1, which are not equal to 1. Therefore, the matrix is not in reduced row-echelon form.
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-3 x (10i+6)
Your answer should be a complex number in the form a + bi where a and b are real numbers.
The Answer is:
−30xi−18x, I really don't know what you are looking for but this is what i came up with. Hope this is helpful!
Find the point P where the line x = 1+t, y = 2t, z=-3t intersects the plane x+y-z=4. P-( Note: You can earn partial credit on this problem.
The point of intersection P between the line x = 1+t, y = 2t, z=-3t and the plane x+y-z=4 is (2, 0, -2).
To find the point of intersection, we need to substitute the equations of the line into the equation of the plane and solve for the values of t that satisfy both equations simultaneously.
Substituting the line equations into the plane equation, we have:
(1+t) + 2t - (-3t) = 4
1 + t + 2t + 3t = 4
6t + 1 = 4
6t = 3
t = 1/2
Now that we have the value of t, we can substitute it back into the line equations to find the corresponding values of x, y, and z:
x = 1 + t = 1 + 1/2 = 3/2 = 2
y = 2t = 2(1/2) = 1
z = -3t = -3(1/2) = -3/2 = -2
Therefore, the point of intersection P between the line and the plane is (2, 0, -2).
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a researcher working with a sample of 35 finds a pearson correlation of 0.45 between two variables. what is the t-score corresponding to these results?
Using pearson's correlation Coefficient,
The value of t-score corresponding to the provide sample is 3.23...
Pearson's correlation coefficient :
Pearson's correlation method is the most commonly used method for numeric variables. Assign a value between −1 and 1. 0 is no correlation, 1 is completely positive correlation, -1 is completely negative correlation.
The correlation coefficient is denoted by "r".
Testing of significant correlation coefficient:
The formula for the test statistic is
t = ( r√(n-2) )/√1-r^2
where,
t-----> value of the test statistic
n----> sample size
r------> correlation coefficient
we have given that,
correlation coefficient of sample (r) = o.45
sample size (n)= 35
we have to calculate the value of the test statistic. putting all the values in above formula,
t = ( 0.45√(35-2) )/√(1 - (0.45)^2)
=> t = ( 0.45 √33)/√(1-0.202) = 2.58/0.79
=> t = 3.23
Hence, the t-score corresponding to provide sample is 3.23..
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One model for the spread of a rumor is that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor. Write a differential equation that is satisfied by y. a. Solve the differential equation. (Let y(0) = y0.)b. Write a differential equation that is satisfied by y.
The differential equation is equivalent to
\(\frac{dy}{dx} -\frac{3x(1-y)}{x^{2} +1}\)
If y denotes the fraction of the population who have heard the rumor, then 1 −y represents the fraction of the population who haven’t heard the rumor.
The rate of spread of the rumor (y'(t)) being proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor can then be rewritten as:
\(\frac{dy}{dt} =ky(1-y)\)
for some positive constant k. This is a separable differential equation, so to solve it we separate the variables
\(\frac{dy}{y(1-y)} =kdt\)
and integrate
\(\int\ \frac{dy}{y(1-y)} =\int k dt < = > ln |\frac{y}{1-y} |=kt+c\)
Exponentiating, we get
\(|\frac{y}{1-y}|=e^{kt+c}\)
Denoting ec by A, and taking into account that y ∈ (0, 1) we get
\(\frac{y}1-{y} =Ae^{kt} =\frac{Ae^{kt} }{1}\)
Adding the numerators to the denominators in the above equality of fractions we obtain
\(y=\frac{y}{(1-y)+y} =\frac{Ae^{kt} }{1+Ae^{kt} }\)
The Initial value:
\((x^{2}+1) \frac{dy}{dx} +3y(y-1)=0,y(0)=1\)
The differential equation is equal to
\(\frac{dy}{dx} -\frac{3x(1-y)}{x^2+1}\)
the initial condition of our problem is y(0) = 1, the solution must be y ≡ 1
The differential equation is equivalent to
\(\frac{dy}{dx} +\frac{3x}{x^2+1} y=\frac{3x}{x^2+1}\)
which is a linear equation, with P(x) = Q(x) =\(\frac{3x}{x^2+1}\) we have
\(\int P(x)=\frac{3}{2}\int \frac{2x}{x^2+1} dx=\frac{3}{2} ln(x^2+1)\)
It follows that the integrating factor I(x) is then
\(I(x)e^{\int P(x)dx} =e^{\frac{3}{2} ln(x^2+1)} =(x^2+1)^{\frac{3}{2} }\)
The general technique for solving linear differential equations yields
\(yI(x)=\int Q(x)I(x)dx=\int \frac{3x}{x^2+1} (x^2+1)^{\frac{3}{2} } \\\\=\int 3x(x^2+1)^{\frac{1}{2} } =(x^2+1)^{\frac{3}{2} } +C\)
Dividing by I(x) we get
\(y=1+\frac{C}{(x^2+1)^{\frac{3}{2} } }\)
The initial condition y(0) = 1 yields 1 = 1 + c, i.e. c = 0. Therefore y ≡ 1.
The differential equation is separable. We get this by separating the variables
\(\frac{dy}{y-1} -\frac{-3x}{x^2+1}\)
Integrating, we obtain
\(ln|y-1|=\frac{-3}{2} ln(x^2+1)+c\)
which yields by exponentiation
\(|y-1|=\frac{e^c}{(X^2+1)^\frac{3}{2} }\)
substituting ec by a constant A, and allowing A to also be negative or 0, we get
\(y-1=\frac{A}{(x^2+1)^\frac{3}{2} }\)
The initial condition y(0) = 1 implies that 1 − 1 = A/1 = A, hence A = 0 and y ≡ 1
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A zookeeper is 6 1/4 feet tall. A young giraffe in his care is 9 3/8 feet tall how many times as tall as the zookeeper is the giraffe?
Answer: The giraffe is 1.5 times tall as the zookeeper.
Step-by-step explanation:
Given: Height of Giraffe = \(9\dfrac38\ feet =\dfrac{72+3}{8}\ feet =\dfrac{75}{8}\ feet\)
Height of zookeeper= \(6\dfrac14\ feet =\dfrac{24+1}{4}\ feet =\dfrac{25}{4}\ feet\)
Let n = number of times the giraffe is tall as the zookeeper.
\(n=\dfrac{\dfrac{75}{8}}{\dfrac{25}{4}}=\dfrac{75\times4}{25\times8} = 1.5\)
Hence, the giraffe is 1.5 times tall as the zookeeper.
Plzzzzzzzzz i need help
Answer:
Area = base x height
Step-by-step explanation:
8X11=88sq
Answer:
88 units^2
Step-by-step explanation:
The area of a parallelogram can be found using he following formula:
a=b*h
where b is the base and h is the height.
We know that 11 units is the base and 8 units is the height (forms a right angle with one of the bases).
b= 11 units
h= 8 units
Substitute these values into the formula.
a= 11 units * 8 units
Multiply
a= 88 units^2
The area of the parallelogram is 88 square units.
Find the sum of the interior angles for a pentagon. 180° 360° 540° 900°
The sum of the interior angles for a pentagon is 540°
Sum of Interior Angles of a Pentagon :
The interior angles of a pentagon sum up to 540 degrees.. Regardless of how regular or irregular the pentagon is, this is true. By dividing the whole amount by 5, we can calculate the size of each internal angle in the case of regular pentagons. To determine the measure of a missing angle in the situation of irregular pentagons, we must first know the measurements of other angles.
Any pentagon's internal angles add up to 540° in the same way. This holds true regardless of how regular or irregular the pentagon is. By using the polygon angle sum formula, the following sum is obtained:
(n-2)180(n−2)×180°
where n represents the polygon's number of sides. We have n = 5 in the case of a pentagon. Consequently, utilizing the formula:
=(n-2)180=(n−2) ×180°
= (5-2) 180= (5−2) ×180°
= (3) 180= (3) ×180°
= 540=540°
Consequently, a pentagon's interior angles add up to 540 degrees.
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43% of $4587 +100pts
Answer:
$1,972.41
Step-by-step explanation:
Half of $4587 is:
2,293.50$
What is 7% of 4587$?
The answer to that is, what I quote:
321.09$
Now lets do some fairly simple math:
2,293.50$
321.09$ -
------------------
1,972.41$
Thus, your answer is:
1,972.41$
Answer:
$1,972.41
Step-by-step explanation:
PLZ HELP I DONT UNDERSYAND
cait has a 300-centimeter ribbon that cut into smaller pieces for decorations select all the ribbon lengths that could be cut from the original ribbon.
A. 1.8 meters and 110 centimeters
B. 200 centimeters and 2 meters
C. 3 meters anfd115 centimeters
D. 17 centimeters and 2.9 meters
E. 0.63 meters and 240 centimeters
F. 192 centimeters anf 0.19 meters
(suggested by my sister plz help her ty)
Answer:
The answer is letter A and letter F.
Step-by-step explanation:
The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.
3500 calories for 6 servings of pie ________ calories per serving is what?
Answer:
583 rounded to the nearest whole number
Step-by-step explanation:
other wise 583.3333333333333333333333333333
solve for (2x-1)dx+(7y+3)dy=0
In summary This is the solution to the differential equation (2x-1)dx+(7y+3)dy=0.
Why is it?
To solve for (2x-1)dx+(7y+3)dy=0, we need to find a function whose differential is (2x-1)dx+(7y+3)dy.
We can do this by integrating both sides with respect to their respective variables:
∫(2x-1)dx + ∫(7y+3)dy = 0
Integrating the first term with respect to x gives:
x²2 - x + C1
where C1 is the constant of integration.
Integrating the second term with respect to y gives:
7/2 y²2 + 3y + C2
where C2 is the constant of integration.
So the general solution to the differential equation is:
x²2 - x + C1 + 7/2 y²2 + 3y + C2 = 0
We can simplify this by combining the constants into a single constant, say C:
x²2 - x + 7/2 y²2 + 3y + C = 0
This is the solution to the differential equation (2x-1)dx+(7y+3)dy=0.
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Solve the polynomial (With X or box method)
2r(t+6)=0
Answer:
The polynomial is not a quadratic equation, so you cannot use the standard method to solve for x. To solve for r, we'll use the box method.
Starting with the left side of the equation, we have:
2r(t+6) = 0
Distribute the 2r:
2rt + 2r * 6 = 0
Combine like terms:
2rt + 12r = 0
Now, we have a linear equation that we can solve for r:
12r + 2rt = 0
Subtract 2rt from both sides:
12r = -2rt
Divide both sides by 10:
r = -t/6
So, r is equal to -t/6.
Hope this helps!
|
g28hpierhdf0iuvhb2riuwdfbhv0uiopt4kwhdsf09urfhugt3ehvnpiutfhboijdgnvpiudehbt0cshf897ufghvt87dmhsf7ghf9uyh
Answer:
8. 7
9. 9
Step-by-step explanation:
27/12 times 4 is 9, 9-2 is 7
3x-18=x
2x=18
x=9
Help!!!!!!!!!!!!!!!!!!!!
======================================================
Explanation:
Solve each inequality for x
\(5x \ge 20\) solves to \(x \ge 4\) after dividing both sides by 5
\(x+14 < 16\) solves to \(x < 2\) after subtracting 14 from both sides
The original system solves to \(x \ge 4 \ \text{ or } \ x < 2\) which is the same as \(x < 2 \ \text{ or } \ x \ge 4\)
So x is either less than 2, equal to 4, or larger than 4.
The graph that fits the description above is Choice B. We have an open hole at x = 2 to show we don't include this value. In contrast, there's a filled in hole or closed circle at x = 4 to include this value. The blue shaded region is the set of all possible x values, so we shade to the left of x = 2 and to the right of x = 4.
----------------------
Side note: I don't know why your teacher thought it was a good idea to make the answer choice tiles be larger than the actual problem itself. It should be the other way around. Though to be fair, it's probably a design choice that your teacher wasn't involved in.
Please help ASAP! Willing to give brainliest if correct!
Part A: A key component to this story is that the jeweler deceptively replaced “an equal weight” (or equal mass) of gold with silver. How does this action result in increasing the volume of the crown? Explain using one or more equations.
The story that this question bases off of is The Story of Archimedes:
About 2,200 years ago, one of the most famous mathematicians in history made a major discovery. The mathematician was Archimedes, who was presented with a problem by King Hieron II of Syracuse in Sicily.
The king had given a bar of gold to a jeweler and ordered him to make it into a crown. After receiving the crown, the king suspected that the jeweler had replaced some of the gold with an equal weight of a cheaper metal like silver and kept the remainder of the gold for himself. The king had no way to determine whether this was true, so he gave the crown to Archimedes and asked him to devise a way to find out.
At the time, Archimedes knew that gold was more dense than silver. So, if the volume of the crown was greater than the volume of a bar of gold, they would have proof that the jeweler had stolen some of the gold. However, Archimedes had no way to find the volume of an irregular shape like a crown.
Archimedes struggled with this problem for a long time. One day, he went to take a bath. As he lowered himself into the bath, he noticed that the water level rose. As he continued to lower himself into the water, the water level continued to rise. He was so excited at his discovery that he jumped out of the bath and, before he could remember to put his pants on, went running through the streets yelling “Eureka! Eureka!” which in Greek means “I’ve found it! I’ve found it!” He now had a way to measure the volume of the irregularly shaped crown.
In Archimedes’s case, the jeweler had indeed stolen gold from the king. This did not end well for the jeweler.
An equal mass of silver will displace a different volume of fluid than that displaced by gold.
Archimedes principleAccording to the Archimedes principle, when an object is partially or completely immersed in water, the object will experience a force that displaces its own weight of fluid.
Therefore, when the jeweler deceptively replaced “an equal weight” (or equal mass) of gold with silver, we can know that by observing the volume of water displaced in each case. An equal mass of silver will displace a different volume of fluid than that displaced by gold.
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Ridgewood Savings Bank charges a $27 per check overdraft protection fee. On July 8, Nancy had $1,400 in her account. Over the next 4 days, the following checks arrived for payment at her bank: July 9, $1,380.15; July 10, $670 and $95.67; July 11, $130; and July 12, $87.60.
How much will she owe the bank after July 12?
If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.
What is total obligation?Total obligation can be defined as the amount a person owe another person or the debt amount a borrower is expected to payback to a lender.
Balance $1,400
July 9 check ($1,380.15)
Balance $19.85
July 10 check ($765.67)
($670 + $95.67)
Balance -$745.82 (Overdraft)
Now let find the amount she owe
Balance -$745.82
July 11 check $130
Balance -$875.82
July 12 check $87.60
Ending balance -$963.42
Overdraft fee $108
($27 ×4)
Total obligation -$1,071.42
Therefore her total obligation is $1,071.42.
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"The probability of event A given event B is denoted by OP (A or B) OP (A and B) O P(A/B) OP(BIA)
the correct notation to represent the probability of event A given event B is P(A|B).
The correct notation for the probability of event A given event B is P(A|B), which is read as "the probability of A given B." This notation represents the conditional probability of event A occurring, given that event B has already occurred.
On the other hand, OP (A or B) represents the probability of either event A or event B occurring, or their union. This is not the same as the probability of A given B.
Similarly, OP (A and B) represents the probability of both event A and event B occurring, or their intersection. This is also different from the probability of A given B.
OP(A/B) and OP(BIA) are not standard notations in probability theory and are not commonly used to represent conditional probabilities. The correct notation for conditional probability is P(A|B).
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Anybody help me please
Answer:
Rotation 180° counterclockwise about the origin
Answer:
The second one, I think.