Answer:
D.No solution
Answer:
C
Step-by-step explanation:
-2(x + 3) = -2x - 6 Remove the brackets
-2x - 6 = -2x - 6
Since the left and right sides are equal, any number will work.
If you wind up with a false statement, then there are no solutions.
2x + 4 = 2x + 7 Subtract 2x from both sides.
4 = 7
which could be the function graphed below ??
Answer:
D [tex]\sqrt{x+4}[/tex]
Step-by-step explanation:
A water tank is 50cm by 30cm by 20cm. If 1 litre of water costs 300 taka, what is the total cost to fill up the tank with water?
Answer:
Step-by-step explanation:
The volume of the tank= (50x30X20) cm^3
= 30000cm^3
= 30 l
1 l costs 300 tk
therefore 30 l costs= 30X300 taka
= 90000 taka
A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?
A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______
(Make sure you use the correct variable.)
B) Use your equation to find the dimensions of the field.
The width of the field is ____________ feet.
The length of the field is ____________ feet.
ATQ
[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]
[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]
[tex]\\ \tt\longmapsto 7x=595[/tex]
[tex]\\ \tt\longmapsto x=595/7[/tex]
[tex]\\ \tt\longmapsto x=85[/tex]
Length=6(85)=510ftWidth=85fty + y + y + y + ytytyty
Collect like terms
Find the measure of
Answer:
∠ A = 43°
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent, so
∠ B = ∠ T = 55°
The sum of the 3 angles in a triangle = 180°
sum the 3 angles in Δ ABC and equate to 180
2x - 9 + 3x + 4 + 55 = 180 , that is
5x + 50 = 180 ( subtract 50 from both sides )
5x = 130 ( divide both sides by 5 )
x = 26
Then
∠ A = 2x - 9 = 2(26) - 9 = 52 - 9 = 43°
Solve for x given that
4x + 2
7
Answer:
x = - 1/2 or -0.5
Step-by-step explanation:
Steps on the pic above
Evaluate each expression if x = 7, y = 1, and z = 8.
=
19. x + y + 2
20. x + 2z
21. 4y
22. 4x – 3z
23. 4x – 17
24. 62 – 52
shto The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
25. 9y + (2x + 1)
26. 14 + 2z
27. 2 : 2
28. xz
29. y - x
30. 24y - 2
31. x2 – 2y + 8
32. 2xz
33. 30y - 40x – 1,000
19, 15.5
20, 25
21, 1/16
22, 4
23, 11
24, 8
25, 19.5
26, 30
27, 4
28, 56
29, 6.5
30, 4
31, 21
32, 112
33, 3,200
here are they
find the point (x,y) on the curve where dy/dx = 0
a. By the chain rule,
[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx} = \dfrac{dy}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]
Given that [tex]y=e^t+e^{-t}[/tex] and [tex]x=e^{-t}[/tex], we have the derivatives
[tex]\dfrac{dy}{dt} = e^t -e^{-t}[/tex]
[tex]\dfrac{dx}{dt} = -e^{-t}[/tex]
and so
[tex]\dfrac{dy}{dx} = \dfrac{e^t - e^{-t}}{-e^{-t}} = 1-e^{2t}[/tex]
Set this equal to zero and solve for t :
[tex]1-e^{2t} = 0[/tex]
[tex]1 = e^{2t}[/tex]
[tex]\ln(1) = \ln\left(e^{2t}\right)[/tex]
[tex]0 = 2t \ln(e)[/tex]
[tex]0 = 2t[/tex]
[tex]t=0[/tex]
This value of t corresponds to x = e⁰ = 1 and y = e⁰ - 1/e⁰ = 1 - 1 = 0. So the only point on the curve where the derivative dy/dx is zero is (1, 0).
b. Compute the second derivative. Since dy/dx is a function of t, we'll momentarily replace it with f(t). By the chain rule,
[tex]\dfrac{d^2}{dx^2} = \dfrac d{dx} \dfrac{dy}{dx} = \dfrac{df}{dx} = \dfrac{df}{dt}\cdot\dfrac{dt}{dx} = \dfrac{df}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]
We have
[tex]\dfrac{df}{dt} = -2e^{2t}[/tex]
and we've already committed dx/dt. So
[tex]\dfrac{d^2}{dx^2} = \dfrac{-2e^{2t}}{-e^{-t}} = 2e^{3t} [/tex]
Substitute the first and second derivative into the differential equation:
[tex]\left(\dfrac{d^2y}{dx^2}\right)^2 + \dfrac{dy}{dx} - 1 = 0[/tex]
[tex]\left(2e^{3t}\right)^2 + (1-e^{2t}) - 1 = 0[/tex]
[tex]4e^{6t} -e^{2t}= 0[/tex]
[tex]e^{2t} (4e^{4t} - 1) = 0[/tex]
[tex]4e^{4t} - 1 = 0[/tex]
[tex]4e^{4t} = 1[/tex]
[tex]e^{4t} = \dfrac14[/tex]
[tex]\ln\left(e^{4t}\right) = \ln\left( \dfrac14\right)[/tex]
[tex]4t \ln(e) = -\ln(4)[/tex]
[tex]4t = -\ln(4)[/tex]
[tex]t = -\dfrac{\ln(4)}4[/tex]
True or false. The only coefficients in the equation
O True
O False
For a particular event, 808 tickets were sold for a total of $3110. If students paid $3 per ticket and no student paid $5 per ticket. How many students tickets were sold?
Graph the linear equation. X = - 4y
is a function f(x)= 1/x odd or even?
Answer:
the function is odd.
Step-by-step explanation:
f(x) is even if f(−x)=f(x) . f(x) is odd if f(−x)=−f(x) . Since −1x=−f(x).
Answer:
Odd
Step-by-step explanation:
There are two ways a function can be determined even or odd.
1. Graph
If the line of symmetry is the y=axis, the function is even.
If it can be rotated 180˚ about the origin and lines up with the original equation, it is odd.
If none of the cases above are satisfied, the function is neither.
2. f(-x)
If you substitute -x for x and you get the equation to be the same as before, the function is even.
If you substitute -x for x and you get the previous equation * -1, the function is odd.
If none of the cases above are satisfied, the function is neither.
Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly. How much money will be in this account after 4 years?
Round your answer to the nearest cent.
Answer:
There would be $5,372.99 in Camilla's account after 4 years.
Step-by-step explanation:
Total Principal $5,000.00
Total Interest $372.99
* interest rate of 1.8% compound monthly is equivalent to annual rate of 1.815%
Camilla will have approximately $5,454.41 in her account after 4 years.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly.
Now, After 4 years, the investment will grow to:
= $5,000 (1 + (1.8%/12))¹²ˣ⁴
= $5,000 (1 + (1.8%/12))⁴⁸
= $5,454.41
Hence, Rounding this to the nearest cent gives us a final answer of $5,454.41.
So, Camilla will have approximately $5,454.41 in her account after 4 years.
Learn more about the mathematical expression visit:
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Moneysaver's Bank offers a savings account that earns 5% interest compounded continuously. If Ravi deposits $3200, how much will he have in the account
after six years, assuming he makes no withdrawals?
Do not round any intermediate computations, and round your answer to the nearest cent
x
5
?
the answer is 4160$
After 6 years of investment of $3200 compounded continuously, final amount in the account will be $4319.55.
Moneysaver's Bank offers a saving account with the features as,
Rate of interest = 5% annualTime of investment = 6 yearsPrincipal amount = $3200Expression to calculate the final amount when compounded continuously,
Final amount = [tex]P.e^{rt}[/tex]
Here, P = Principal amount
r = Rate of interest
t = Duration of investment
By substituting the values in the expression,
Final amount = [tex]3200.e^{0.05\times 6}[/tex]
= 3200(1.3498588)
= 4319.548
≈ $4319.55
Therefore, after 6 years of investment of $3200, final amount in the account will be $4319.55.
Learn more,
https://brainly.com/question/2141828
The work of a student to solve the equation 3(2x - 4) = 8 + 2x + 6
Answer:
false
Step-by-step explanation:
3(2×−4)=8+2×+6
Multiply 3 and 2 to get 6.
6(−4)=8+2×6
Multiply 6 and −4 to get −24.
−24=8+2×6
Multiply 2 and 6 to get 12.
−24=8+12
Add 8 and 12 to get 20.
−24=20
Compare −24 and 20.
Find the equation of the line through (−8,1) which is perpendicular to the line y=−x/2−6.
Give your answer in the form y=mx+b.
Linear equations can represent parallel lines, perpendicular lines and lines with no relationship at all.
The equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]
The equation is given as:
[tex]\mathbf{y =-\frac x2 - 6}[/tex]
For a linear equation y = mx + b, the slope of the equation is m
So, by comparison:
[tex]\mathbf{m =-\frac 12}[/tex]
The relationship between the slopes of perpendicular lines is:
[tex]\mathbf{m_2 =-\frac 1{m_1}}[/tex]
So, we have:
[tex]\mathbf{m_2 =-\frac 1{-1/2}}[/tex]
[tex]\mathbf{m_2 =2 }[/tex]
This means that, the slope of the line that passes through point (-8,1) is 2
The line equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
This gives
[tex]\mathbf{y = 2(x + 8) + 1}[/tex]
Open brackets
[tex]\mathbf{y = 2x + 16 + 1}[/tex]
Simplify
[tex]\mathbf{y = 2x + 17}[/tex]
Hence, the equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]
Read more about linear equations at:
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Solve
-14 - 7
A. -21
B. -7
C. 7
D. 21
Answer:
since negative and negative are plus we add it but not
change the sign
Step-by-step explanation:
so the answer is -21
hope I helped
HELP PLSSSSSSSSSSSSSS
Answer:
120
Step-by-step explanation:
Answer:
x=17.7
Step-by-step explanation:
Pythagorean theory
a²+b²=c²
16²+7.5²=c²
256+56.25=c²
√312.25=√c²
c=17.7
¿Qué fuerza media se requiere para que un objeto de 2 Kg aumente su velocidad de 5 m/s a 12 m/s en una distancia de 8 m?
Answer:
14.87
Step-by-step explanation:
Para conocer cual es la fuerza que necesita el cuerpo para aumentar su velocidad de 5 m/s a 12 m/s en 8 m
Necesitamos conocer la aceleración y para conocer la aceleración debemos saber cuanto tiempo tarda en recorrer los 8m
Vf = Vo +a(t)
12 = 5 +a(t) -------> Vamos a despejar el tiempo.
t = 7/a
X= Vo(t) +1/2a(t²)
X= 5(7/a)+1/2a( 7/a )²
8 = 35/a+49/2a
a = 7.43 m/s²
Ahora que conocemos la aceleración podemos calcular la fuerza como:
F = m*a
F = 7.43 * 2 kg.
F = 14.87
Write the expression 4^4(4^-7)(4) using a single exponent
[tex]4^4(4^7)4\implies 4^4\cdot 4^7\cdot 4^1\implies 4^{4+7+1}\implies 4^{12}[/tex]
Answer:
real answer 4^-2
Step-by-step explanation:
just did on edge
A refreshment stand makes 5 large servings of frozen yogurt from 8 pints. Graph the line and then write
its equation. Let the x-axis represent the number of pints and the y-axis represent the number of
servings. Use only fractional form, if necessary.
Answer:
x= (8/5)
Step-by-step explanation:
x= 8÷5
evaluate the equation/expression
x=1.6
then convert to a fraction x= BasePoly 1.6 → 16/10 →8/5
Answer:
Pls help me I think its 5/8
Step-by-step explanation:
A ___ is a way of expressing a number as a fraction of 100
grade 5
Answer:
Percentage is the answer
NEED RATIONAL
G borrowed $15,000 to buy a business. The interest
rate was 11%. If G paid all the interest and the amount
borrowed with a single payment at the end of 16
months, what is the amount of this payment?
What is the y intercept of y= 3x + n
Answer:
Step-by-step explanation:
1
can someone PLEASE help me with this!? I’ve been trying to find the answer but I just couldn’t find it. I’m behind in math and this was due four days ago!!
Answer:
{-2}
Step-by-step explanation:
Answer:
B)-2
Step-by-step explanation:
In functions, X is your input. Y is the output unless specifically stated otherwise :P
Brainliest? <3
1/2(-4+6x)=1/3x+2/3(x+9)
Answer:
X=4
Step-by-step explanation:
1. Simplify the expression
2. Multiply the fractions:
3. Break up the fraction:
4. Find the greatest common factor of the numerator and denominator:
5. Factor out and cancel the greatest common factor:
6. Simplify the fraction:
7. Multiply the fractions:
8.Solve by distributing:
9. Simplify the arithmetic:
10.Break up the fraction:
11. Find the greatest common factor of the numerator and denominator:
12. Factor out and cancel the greatest common factor:
13.Combine the fractions:
14. Combine the numerators
15. Find the greatest common factor of the numerator and denominator:
16. Factor out and cancel the greatest common factor:
17. Simplify the right side:
Suppose all counting numbers are arranged in columns as shown below. Under what letter will the number 2019 appear?
Answer: b
Step-by-step explanation:
what is 2x-3 when x=1
Which statement is true?
Find the slope of the line that passes through the following points E(4,1 2/3) and F (-2, 2/3)