Answer:
a=g/q2+m
Step-by-step explanation:Let's solve for a.
ma+q2a=g
Step 1: Factor out variable a.
a(q2+m)=g
Step 2: Divide both sides by q^2+m.
a(q2+m)
q2+m
=
g
q2+m
a=
g
q2+m
Seven subtracted from seven times a number is 147. What is the number?
Answer:
I answered your duplicate question. Make sure to check out the answer, and I hope it helps!
The lunch special at Scott's Restaurant is a sandwich, a drink and a dessert. There are 3 sandwiches, 1 drink, and 2 desserts to choose from. How many lunch specials are possible?
Answer:
24 for being able to not have one, 6 for having one of each
Step-by-step explanation:
multiplication
with the option of none
4*2*3=24
without the option of none
3*1*2=6
Please Help i need to get this done by 7:30
Answer: 0.3 and 3/10
Step-by-step explanation:
its 3 tenths
What is -5+2(8-12) ?
Answer: -13
Step-by-step explanation: Here to help! So first, you do 8-12, then you get -4, right? So then, you multiply 2 times -4, then you get -8. After that, you add -5 to -8, so it's -5 + -8, and you get -13.
Answer:
-13
Step-by-step explanation:
-5+2(8-12)
distribute the 2
-5+16-24
add
11-24
subtract
-13
There were 48 runners to start a race. In the first half of the race, 2/3 of them dropped out. In the second half of the race. 3/4 of the remaining runners dropped out. How many runners finished the race?
Answer: 4
Step-by-step explanation:
48 x 1/3 = 16
16 x 1/4 = 4
4 finished
Answer:
24 runners left
Step-by-step explanation:
"of" means multiply
2/3 of 48 means 2/3 x 48.
2/3 x 48 = 32
3/4 of the remaining runners means 3/4 of 32.
3/4 x 32 = 24
what number is 7 hundredths greater than 5.25
Answer:
36,750.
Step-by-step explanation:
The way to determine the number that is seven hundred times greater than 5.25 is by multiplying those numbers, the result being the number in question.
Thus, the following multiplication must be performed:
700 x 5.25 = X
3,675 = X
Thus, the number that is seven hundred times greater than 5.25 is 3,675.
Divide using synthetic division
(2x3 - 5x - 7) = (x - 2)
(please show work, i don’t understand this.)
Step-by-step explanation:
(2x3 - 5x - 7) = (x - 2)
calculate the product
6x - 5x - 7 = x - 2
collect like terms
x - 7 = x - 2
cancel equal terms on both sides of the equation
- 7 = - 2
the statement is false for any value of x
x = no solution
Differentiate the equation to find the functions for
Velocity v= ds/dt
Differentiation from First Principles is a formal method for determining a tangent's gradient.
What is meant by differentiation?Finding a function's derivative is the process of differentiation. It is also the process of determining how quickly a function changes in relation to its variables.
According to the Sum rule, a sum of functions' derivatives equals the sum of those functions' derivatives. The derivative of two different functions is the difference of their derivatives, according to the Difference rule.
Differentiation from First Principles is a formal method for determining a tangent's gradient. The straight line connecting any two locations on the curve that are fairly near to one another will have a gradient that is similar to that of the tangent at those places.
s(t) = ∫vdt = ∫sin(πt)dt = (-cos(πt))/π + c
substituting the values t = 3, we get
s(-3) = (-cos(-3π))/π + c = 0
simplifying the above equation, we get
(-cos(3π))/π + c = 0
1/π + c = c
c = -1/π
Therefore, the correct answer is s(t) = (-cos(πt))/π - 1/π = (-cos(πt) - 1)/π.
The complete question is:
Given the velocity v=ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v=sin(pi*t), s(-3)=0
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how many integers between 2023 and 5757 have 12, 20, and 28 as factors
Answer:
9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
Step-by-step explanation:
An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.
The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.
The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:
5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9
So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.
A plane curve is represented by the parametric equations x = −7 + 2cos θ and y = 4 + 5sin θ. Which of the following rectangular equations represents the curve?
Hello there. To solve this question, we'll have to find the rectangular equation given the parametric equations.
The parametric equations are:
\(\begin{gathered} x=-7+2\cos \theta \\ y=4+5\sin \theta \end{gathered}\)Let's start addind 7 on both sides of the first equation and subtracting 4 on both sides of the second, such that
\(\begin{gathered} x+7=2\cos \theta \\ y-4=5\sin \theta \end{gathered}\)Divide both sides of the first equation by a factor of 2 and the second by a factor of 5
\(\begin{gathered} \frac{x+7}{2}=\cos \theta \\ \\ \frac{y-4}{5}=\sin \theta \end{gathered}\)Now, we simply apply the fundamental trigonometric identity:
\(\cos ^2\theta+\sin ^2\theta=1\)such that we have
\(\left(\frac{x+7}{2}\right)^2+\left(\frac{y-4}{5}\right)^2=1\)Square the terms
\(\frac{(x+7)^2}{4}+\frac{(y-4)^2}{25}=1\)This is the rectangular equation we were looking for. This is, in fact, an ellipse wih center at (-7, 4) and semi-major and semi-minor axes equal to 5 and 4, respectively.
The other way we could have solved this question is by knowing when he have an ellipse with center at (h, k) and semi-major and semi-minor axes respectively equal to a and b, the parametric equations are given by:
\(\begin{gathered} x=h+a\cos \theta \\ y=k+b\sin \theta \end{gathered}\)If the axes changes places, that is, when the ellipse semi-major axis is parallel to the y-axis, then
\(\begin{gathered} x=h+b\cos \theta \\ y=k+a\sin \theta \end{gathered}\)And the formulas for the ellipses are the same as before
\(\begin{gathered} \frac{(x-h)^2}{a^2}+\frac{(y-k)^2_{}}{b^2}=1 \\ \text{ or} \\ \frac{(x-h)^2}{b^2^{}}+\frac{(y-k)^2_{}}{a^2}=1 \end{gathered}\)awnser the qusetion 9iu523hb5hn33
The order of the matrices of each product is given as follows:
AB is nonexistent, BA is nonexistent.
How to apply multiplication of matrices?Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.
For the product AB, we have that:
A has four columns.B has two rows.Hence the product is nonexistent.
For the product BA, we have that:
B has four columns.A has two rows.Hence the product is nonexistent.
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Daniela is putting away test tubes in Science Lab. She has 50 test tubes and 12 will fit on each rack. How many racks will Daniela fill? Write your answer as a mixed number.
Answer:
she will fit 4 1/6
Step-by-step explanation:
NEED THE ANSWERS FAST PLEASE
In Exercises 13 and 14, find a possible pair of integer values for a and c so that
the quadratic equation has the given number and type of solution(s). Then write
the equation.
13. ax² − 3x + c = 0; two real solutions
-
14. ax² + 10x + c = 0; two imaginary solutions
15. Determine the number and type of solutions to the equation 2x² - 8x = -15.
A. two real solutions
B. one real solution
C. two imaginary solutions
D. one imaginary solution
In Exercises 16 and 17, use the Quadratic Formula to write a quadratic equation
that has the given solutions.
16. x
10 ± √√-68
14
17. x =
-3±i√√7
8
In Exercises 18-21, solve the quadratic equation using the Quadratic Formula.
Then solve the equation using another method. Which method do you prefer?
Explain.
18. 7x² + 7 = 14x
20. x² + 2 = -x
19. x² + 20x = 8
21. 8x² - 48x + 64 = 0
22. The quadratic equation x² + x + c = 0 has two imaginary solutions. Show that
the constant c must be greater than 1.
Answer:
Step-by-step explanation:
the degree of a polynomial determines 1:1 the number of solutions.
a quadratic equation (degree 2) has 2 solutions.
the general solution is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -4
b = -4
c = -1
so,
x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)
when we look at the square root
16 - 16
we see that it is 0.
the square root of 0 is 0, and there is no difference between -0 and +0.
so, we get only one (real) solution : 4/-8 = -1/2
but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.
so, I am not sure what your teacher wants to see in this case as answer.
my answer would be 2 real identical solutions. did this help?
A bean plant measures 1.5 cm and grows 0.1 cm per day. A tomato plant of 0.85 cm grows steadily too. How much can it grow each day knowing that it will have the same height as the bean plant in no more than 10 days?
Answer:
Let's call the growth rate of the tomato plant "g". We know that the height difference between the tomato plant and the bean plant decreases by 0.1 cm per day, so we can write the following equation:
1.5 - 0.85 - (10 * g) = 0
Solving for g:
g = (1.5 - 0.85) / 10 = 0.065 cm/day
So the tomato plant grows at a rate of 0.065 cm per day, and will reach the height of the bean plant in no more than 10 days.
The tomato plant will grow 0.165 cm per day.
Solution:
Given,
Height of bean plant = 1.5 cm
Height of tomato plant = 0.85 cm
The growth rate of bean plant = 0.1 cm/ day
The bean plant will grow 1.5 + (0.1* 10) in 10 days = 2.5 cm
So, the tomato plant will have to grow (2.5 - 0.85) cm in 10 days = 1.65 cm
Since, the tomato plant will grow steadily,
Hence, 1.65/ 10 = 0.165
Therefore, the tomato plant will grow at a rate of 0.165 cm per day
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{ x + y = 158
x- y = 112
Answer:
i have know
Step-by-step explanation:
Will mark brainliest!!!
Solve for x and plz do both
Answer:
8. 64.23
10. 51.317
Step-by-step explanation:
tan^-1(29/14) = 64.23
cos^-1(25/40) = 51.317
3/4 -2 1/2 please show step by step process
Answer:
-7/4 or -1 3/4
Step-by-step explanation:
Step 1. Convert into improper fraction.
2 1/2 = 5/2
Step 2. Convert the fractions into common denominator.
5/2 = 10/4
Step 3. Subtract.
3/4 - 10/4 = -7/4
Please help. I'll give brainliest.
351 and 1053 are the next terms of geometric sequence 13, -39, 117...
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given series is 13, -39, 117..
We need to find the fourth and fifth terms of the sequence.
The given sequence is geometric sequence.
Geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
The general term of sequence \(a_{n} =ar^{n-1}\)
r is the common ratio
r=-39/13
=-3
a=13 first term
a₄=13(-3)³
a₄=13(-27)
Fourth term is 351.
Now plug in n as 5 to find 5th term.
a₅=13(-3)⁴
a₅=1053
Hence, the next two terms of geometric sequence are 351 and 1053.
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which expression is equivalent to 2x + 3y - x - (8 + 1)
1. 5x + 2y - 7
2. 3 (x + y) - 9
3.6 (x + y) - 7
4. x + 3y - 9
The depth of a local river averages 16 ft, which is represented as |−16|. In January, it measured 4 ft deep, or |−4|, and in July, it was 18 ft, or |−18|. What is the difference between depths in January and July?
22 feet
14 feet
10 feet
2 feet
The difference between depths in January and July is 14 feets
The depth of a local river averages 16 ft., which is represented as |−16|.
In January, The depth of a local river measured 4 ft. deep, or |−4|
in July, The depth of a local river 18 ft., or |−18|
The average depth of a local river is measured as -16 because it is below the ground level and hence measured or plotted on -y axis
the difference between depths in January and July can be measured as
|−18| - |−4|
This is absolute sign which means every number inside this sign should be treated as positive
18 - 4 = 14
Hence, the difference between depths in January and July is 14 feets
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. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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First convert the equation -x+y=-5 into slope intercept form. Graph the line by plotting the y-intercept first, then another point using the given slope.
Step-by-step explanation:
-x + y = -5
Transform to slope-intercept form, y = mx + b:
-x + x + y = x - 5
y = x - 5 (Slope-intercept form where m = 1, b = -5).
Plot the y-intercept (0, -5) on the graph. Using the "rise over run" of the slope, m = 1, the next point will be: (1, -4).
I also plotted other points (please see the attached screenshot of the graph).
Calculate the cost to treat one person who has TB if it costs R84 724 707 to treat 53 642 infected people. Give your answer correct to 2 decimal places.
The cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.
What is total cost?Total cost refers to the sum of all expenses incurred in producing a product or providing a service. It includes both the fixed costs (costs that remain constant regardless of the level of output) and variable costs (costs that vary with the level of output)
According to question:To calculate the cost to treat one person who has TB, we need to divide the total cost of treating all infected people by the number of infected people:
Cost to treat one person = Total cost of treatment / Number of infected people
Plugging in the given values, we get:
Cost to treat one person = R84,724,707 / 53,642
Cost to treat one person = R1,579.82
Therefore, the cost to treat one person who has TB is R1,579.82, rounded to 2 decimal places.
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Find the distance between the two points in simplest radical form. ( 6 , 9 ) and ( − 3 , 7 ) (6,9) and (−3,7)
Answer:
The distance between the two points (6, 9) and (−3, 7) can be found using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Plugging in the values, we get:
d = √((-3 - 6)^2 + (7 - 9)^2)
d = √((-9)^2 + (-2)^2)
d = √(81 + 4)
d = √85
So the distance between the two points in simplest radical form is √85.
Step-by-step explanation:
Order the following numbers from least to greatest.
Put the lowest number on the left.
Your answer
-2 4 1 5
Answer:
-2,1,4,5
Step-by-step explanation:
If x = 2, solve for y. y = 6.3x y=[?]
Answer: y = 12.6
Step-by-step explanation:
Since x = 2 and y = 6.3 * x, y = 6.3 * 2.
6.3 * 2 is equal to 12.6, so y is 12.6.
Answer:
y = 12.6
Step-by-step explanation:
y = 6.3x x = 2
Solve for y.
y = 6.3(2)
y = 12.6
So, the answer is 12.6
What is cos(tan^-1(-2/3))=
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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helpp!! plis find 4 to the x power+4 to the -x power. if os know thai 2 to the power x + 2 to the power -x =3
Answer:
166Step-by-step explanation:
Problem 2: In the AC circuit shown below, if Iz = 2ejoº A, perform the following: (a) Solve for all the other unknown voltage differences and currents indicated on the circuit. (b) Find the total impedance seen by the source. (c) Calculate the power factor of the whole circuit. (d) Evaluate the total time-average power dissipation. Useful Formulas: 7=0.5V, Palme Xpower factor = 0.5 Re(VI")=0.52. Re(z) V VA 4 HI 2 Ω -j2 Ω 112 113 +-j412 -000 j4 Ω
Solve the system of equations.
y=x2-5
y=-2x+3
A. (2-1) and (4.-5)
B. -2.7) and (4-5)
C. (-411) and (2-1)
O D. (-4, 11) and (-27)
Solve for x - y = -3
Answer:
0-3=-3
Step-by-step explanation: