Answer:
exact form:negative 9/4
decimal form:- 2.25
Mixed number form:negative 2 \(\frac{1}{4}\)
Step-by-step explanation:
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
Compare. Select <, >, or=.
6.61? 6.610
The awnser is 6.610
Answer:
6.61=6.610
Step-by-step explanation:
6.61=6.610
After point we can increase no. Of zero.
A+b+c=90 and 12a+10b+6c=870 solve for a,b, and c
Answer:
Step-by-step explanation:
You can solve for a, b, and c by using a system of linear equations.
Starting with the first equation:
a + b + c = 90
You can isolate a by subtracting b and c:
a = 90 - b - c
Next, substitute the expression for a into the second equation:
12(90 - b - c) + 10b + 6c = 870
Expanding the equation:
1080 - 12b - 12c + 10b + 6c = 870
Combining like terms:
1070 - 2b + -6c = 870
Adding 2b and 6c to both sides:
1070 = 870 + 2b + 6c
Subtracting 870 from both sides:
200 = 2b + 6c
Dividing both sides by 2:
100 = b + 3c
Finally, subtracting 3c from both sides:
100 - 3c = b
To find c, substitute the expressions for a and b back into the first equation:
a + b + c = 90
90 - b - c + b + c = 90
90 - c = 90
-c = 0
Therefore, c = 0.
To find b, substitute c = 0 into the expression for b:
100 - 3c = b
100 = b
Therefore, b = 100.
Finally, to find a, substitute b = 100 and c = 0 into the expression for a:
a = 90 - b - c
a = 90 - 100 - 0
a = -10
Note that negative values for a, b, and c are possible, but not necessarily meaningful for this specific problem or context.
The solution is:
a = -10
b = 100
c = 0
Simplify.
4(1 + 8 . 9) - 62
Answer: -22.4
Step-by-step explanation:
If the numbers are correct and assuming the 8.9 is written as a decimal the answer is -22.4. If the 8 and 9 are multiplied than the answer is completely different.
two poles are 80 meters and 60 meters tall. Their bases are located at a distance of 90 meters. A grounding wire needs to connect the top of the poles with each other and the ground. At what point should we connect the wire with the ground if we wanted to use the least amount of wire?
It needs to do that route I guess. But I don't understand the last question well.
Please help!! Getting timed for this! Consider the following system of two linear equations:
3y + 2x = 15
x – y = 0
Select the graph that correctly displays this system of equations and point of intersection.
Answer: plug in the coordinates for x and y
Step-by-step explanation:
take a look at my work if you still need some help
blood carries a drug into an organ at a rate of 3 cm^3/sec and leaves at the same rate. the organ has a liquid volume of 150 cm^3. the concentration of the drug in the blood entering the organ is 1/3 gm/cm3. what is the mass of the drug in the organ at time t if there was no trace of the drug initially?
The mass of the drug in the organ at time t depends on the concentration of the drug in the blood entering the organ and the rate at which the blood is entering and leaving the organ. This can be calculated by multiplying the volume of the organ by the concentration of the drug in the blood.
At time t, since the rate at which the blood is entering and leaving the organ is 3 cm^3/sec, the amount of drug in the organ is equal to the amount of drug entering the organ plus the amount of drug that was initially in the organ. As there was no trace of the drug initially, the mass of the drug in the organ at time t is 3 cm^3/sec multiplied by the concentration of the drug in the blood (1/3 gm/cm3) multiplied by the volume of the organ (150 cm^3).
Therefore, the mass of the drug in the organ at time t is 150 gm.
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i need help can someone help me right now!!!!!!
(a) | BD | bisects | AC | (reason : Given)
(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).
(c) ∠ABD ≅ ∠CBD (reason: | BD | bisects angle ABC)
(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)
What is the complete proof of the congruent angles?Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.
From the first statement, we will complete the flow chart as follows;
line BD bisects line AC (reason : Given)
line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)
Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)
Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).
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Could use help on this thank you in advance!
Answer:
what exactly do i need to do ?????
Step-by-step explanation:
The radius of a circle is 9 feet. What is the Area and the circumference of the circle?
Answer:
area is 254.34 circumference is 56.52
Step-by-step explanation:
To find the area you need to follow the formula r^2(pi)
so it would be 9x9x3.14 which is 254.34
to find circumference you need to find diameter which is double the radius (9x2) so the diameter is 18
To find circumference to need to do radius x pi
18x3.14 is 56.52
Perform the following calculation and round your answer appropriately to the correct number of significant figures: 10. x 0.007809
Answer:
0.07809
Step-by-step explanation:
all do is multiply it and you will get your anwer.
Find the slope of the line that goes through the given points
(4,5) (and 3,3)
Answer:
slope=2
Step-by-step explanation:
y-y=m(4-3)
5-3=m(4-3)
2=m(1)
2/1=m
m=2
In 2003, a school population was 903. By 2007 the population had grown to 1311. How much did the population grow between the year 2003 and 2007? How long did it take the population to grow feom 903 students to 1311 students? What is the average population growth per year?
Answer:
The average population growth per year is 102.
Step-by-step explanation:
From the given data, we can find the slope which will give us the average rate of change. Our points are:
\((2003, 903)\quad and \quad (2007, 1311)\)
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{1311-903}{2007-2003}\\\\m=102\)
Best Regards!
Find x. √11 X = √17 VIRI X
1.243 is the measure of the value of x from the given expression
Solving rational equationsRational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.
Given the following rational equation
√11 x = √17
We need to determine the measure of the value of x.
Taking the square of both sides we will have:
(√11 x)² = (√17)²
11x² = 17
x² = 17/11
x² = 1.545
Take the square root of both sides
√x² = √1.545
x = 1.243
Hence the measure of the value of x from the given equation is 1.243.
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Which equation can be simplified to find the inverse of y = x2-7?
in constructing a confidence interval for the mean, the z distribution provides a result nearly identical to the t distribution when n is large. (True or False)
According to the Central Limit Theorem, the population will be normal if n is greater than 30. As n increases, the width of the confidence interval will decrease, with other conditions remaining same. So, it's true.
What do you mean by Central Limit theorem?According to the central limit theorem, if enough many samples are taken from a population, then the sampling distribution of the mean for that random variable will resemble a normal distribution regardless of how that random variable is distributed.
For samples that are bigger than or equal to 30, this is true.
As per the question, in other words, as more significant samples are collected, the sample mean graph begins to resemble a normal distribution.
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The teacher’s bookshelf is 7 feet tall. She builds one more shelf on it that is ¾ of a foot tall. How tall is her bookshelf now?
(I NEED THIS RIGHT NOW!! PLEASE GIVE EXPLANATION!!) Millie and her brother, Jack, sold candy baes for the band fund-raiser. Millie sold three times as many candy bars as Jack. If Jack sold 30 candy bars, which equation and solution can be used to represent y, the number of candy bars Millie sold?
A. 3y = 30; y = 10
B. 30 = y/3; y = 103
C. 30 = y/3; y = 90
D. 3y = 30; y = 90
Answer:
C
Step-by-step explanation:
When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C
PLS GIVE BRAINLIST
Happy Easter
Last week, a candy store sold 1 1/8 ounces of white chocolate. However, it sold 6 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the candy story sell?
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
x=(y+2)^2 solve the equation
Answer:
x= y^2+4y+4
Step-by-step explanation:
x= (y+2)(y+2)
x= y^2+2y+2y+4
x= y^2+4y+4
Answer:
X = y^2 + 4y + 4
Y= (√X) -2
Step-by-step explanation:
X = (Y+2)^2
X = (Y+2)(Y+2)
X = Y^2 + 4y + 4
X = (Y+2)^2
√X = √(Y+2)^2 (taking the root of both sides cancels the exponent)
√X = Y+2
-2 -2
(√X) - 2 = Y
or
Y = (√X) - 2
f(x) = 4х + 7, g(x) = 3х^ 2
Find (fg)(x). (1 point)
A. 12х^2 + 21х
B. 3х^2 + 4х +7
C. 12x^3 + 21x^2
D. 12х +21
Javier bought a painting for
$
150
$150dollar sign, 150. Each year, the painting's value increases by a factor of
1.15
1.151, point, 15.
Which expression gives the painting's value after
7
77 years?
Choose 1 answer:
Choose 1 answer:
(Choice A)
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
A
(
150
⋅
1.15
)
7
(150⋅1.15)
7
left parenthesis, 150, dot, 1, point, 15, right parenthesis, start superscript, 7, end superscript
(Choice B)
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
B
150
⋅
1.1
5
7
150⋅1.15
7
150, dot, 1, point, 15, start superscript, 7, end superscript
(Choice C)
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
C
(
150
+
1.15
)
⋅
7
(150+1.15)⋅7left parenthesis, 150, plus, 1, point, 15, right parenthesis, dot, 7
(Choice D)
150
+
1.15
⋅
7
150+1.15⋅7150, plus, 1, point, 15, dot, 7
D
150
+
1.15
⋅
7
150+1.15⋅7
The correct expression is \($(150 \cdot 1.15)^7$\) (Choice A).
The problem states that the painting's value increases by a factor of 1.15 each year. This means that the value at the end of each year is 1.15 times the value at the beginning of the year. Therefore, after one year, the value of the painting is\($150 \cdot 1.15 = 172.50$\).
To find the value after 7 years, we need to multiply the value of the painting each year by 1.15 a total of 7 times. This can be represented mathematically as \($(150 \cdot 1.15)^7$\). This expression is equal to the starting value of the painting, 150, multiplied by 1.15$ raised to the 7th power, which represents the 7 years of appreciation.
If we were to choose expression B, it would give an incorrect result because it uses a value of 1.1 instead of 1.15 to represent the yearly increase in value.
Expressions C and D are also incorrect because they are not taking into account the compounding effect of the yearly increase. Expression C adds the initial value and the total years together, and expression D adds the initial value to the yearly increase multiplied by 7, neither of which correctly reflects the exponential growth of the painting's value.
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Find the 9th term of the geometric sequence 8, 32, 128, ...
Answer:
524,288
Step-by-step explanation:
1. 8
2. 8 x 4 = 32
3. 32 x 4 = 128
4. 128 x 4 = 512
5. 512 x 4 = 2,048
6. 2,048 x 4 = 8,192
7. 8,192 x 4 = 32,768
8. 32,768 x 4 = 131,072
9. 131,072 x 4 = 524,288
In a certain lottery game, the chance of getting a winning ticket is exactly one in 1010. Suppose Wilbur buys 2 tickets each day (except on the leap year day February 29) over a period of 43 years. (a) What is the expected number E[T] of winning tickets in 43 years? (b) In each winning ticket is worth $840, what is the expected amount E[R] collected on these winning tickets? (c) Lastly, if each ticket costs $2.5, what is your expected net profit E[Q]?
Using the expected value of binomial distribution, we found the following:
E[T] = 15.54
E[R] = 13,053.60
E[Q] = -26,183.9
What is meant by the expected value in binomial distribution?
The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. The expected value, commonly denoted by E(x), in a probability distribution is the weighted average of all theoretically possible values of a random variable, with weights determined by their respective theoretical probabilities. A binomial distribution's expected value, or mean, is derived by multiplying the number of trials (n) by the likelihood that they will succeed (p).
The chance of getting a winning ticket = 1/1010
Number of tickets bought by Wilbur on each day = 2
Number of years he bought the ticket = 43
a) We are asked to find the expected number of winning tickets E[T].
The total number of days the ticket was bought = 365*43 = 15,695
Using the formula for the expected value of a binomial distributed random variable, we can find E[T].
E[T] = 1/1010 * 15695 = 15.54
b) The worth of the winning ticket is $840.
R = 840T
Expected amount E[R] = E[840T] = 840E[T] = 840 * 15.54 = 13,053.60
c) Cost of each ticket = $2.5
Net Profit Q = 840T− 2.5 * 15695 = 840T - 39237.5
Expected net profit is:
E[Q] = E[840T - 39237.5] = 840E[T] − 39237.5 = 840 * 15.54 - 39237.5
= -26,183.9
There is a loss of $26,183.9.
Therefore using the expected value of binomial distribution, we found the following:
E[T] = 15.54
E[R] = 13,053.60
E[Q] = -26,183.9
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The parabola X = y-9 opens:
B) down
its a negative
I hope that helps
Which expression shows the numbers multiplied for the partial product 12,480
The expression shows the numbers multiplied for the partial product 12,480 will be 30 x 416. The correct option is D.
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.
Given that the number is 12480. The expression shows the numbers multiplied for the partial product 12,480 is:-
When you multiply 30 by 416 you will get the value 12480.
30 x 416 = 12480
Therefore, the expression shows the numbers multiplied for the partial product 12,480 will be 30 x 416. The correct option is D.
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what is the area of this tile?
10in
8in
6in
Answer: I can give you the volume: 480. But to find the area I need more context to know which are the length and width.
The cost of 24 bottles of water is $6. which expression shows how to find the cost of 10 bottles of water?
A. 6/24 x 10
B. 24/ 10 x 6
C. 6/10 x 24
D. 24/6 x 10