mr. Johnson rented a car for 5 days and paid $216.30 if there was a saying for each day how much would it cost to rent the car for 8 days​

Answer:

7a - 28

Step-by-step explanation:

multiply a and -4 by 7

7a - 28

f(x) is an exponential function whose output increases exponentially as the input increases, while g(x) is a linear function whose output increases in a constant rate as the input increases.

f(x) is an exponential function, meaning that the output increases exponentially as the input increases. In the table, when x is 1, the output is 3, when x is 2, the output is 9, and when x is 3, the output is 27. This shows that the output increases exponentially as the input increases.

On the other hand, g(x) is a linear function, meaning that the output increases in a constant rate as the input increases. For example, if Darya has been jogging for 1 hour, she will be 2 miles east of home, and if she has been jogging for 2 hours, she will be 7 miles east of home (5 miles per hour x 2 hours). This shows that her distance away from home increases in a constant rate as the input (time) increases.

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Answer:

15

Step-by-step explanation:

the nickels ratio is 4. I then divided 60 : 4 = 15. I then timesed 15 with 3 and then came out 45. I then subtracted 60 with 45 which gave me the answer of 15.

Answer:

Intersept is (4.55,0)

Step-by-step explanation:

Answer:

the x² tells you that this is a parabola

y-intercept = 180

The fact that the parabola does not cross the x-axis tells you that the roots are complex numbers

Answer:

28 feet or greater

Step-by-step explanation:

To begin, we know that the quicksand is about 75 feet wide, meaning that the large tree branch must be 75 feet or longer in order for you to walk across it.

You can rewrite the equation to find the answer like this: 75 = 2x + 19, and to use some basic algebra you can subtract 19 on both sides to isolate the variable.

Leaving you with: 56 = 2x, now that you have a value on one side and your variable on the other, you can divide both sides by 2 to simplify the equation and get your answer.

Your final answer is 56 / 2 = x or 28 = x, meaning that the tree branch must be 28 feet or longer in order for you to safely walk a cross it.

Hope this helps, let me know if you have any additional inquiries.

Answer:

the answer is 28 feet

Step-by-step explanation:

The resolving power of the objective lens is 1200 nm

Resolving Power (RP) = 0.61 * (wavelength of light) / (Numerical Aperture)

Plugging the values into the formula, we have:

RP = 0.61 * (550 nm) / (0.275)

RP = 0.61 * 550 nm / 0.275

= 335.5 nm

Therefore, the resolving power of a 4x objective lens with a numerical aperture of 0.275 is approximately 1200 nm.

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Answer:

x = 1/2

Step-by-step explanation:

Step 1: Write equation

-4x + 6(4x - 3) = -8

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

99x-65=30

Step-by-step explanation:

Convenience sampling is likely to get the largest number of subjects in the shortest period of time, as it involves selecting individuals who are readily available and willing to participate.

Option b. Convenience sampling is correct.

However, it may not necessarily provide a representative sample and may introduce bias into the results.

Random sampling, on the other hand, is the most reliable method of obtaining a representative sample, but may take longer to recruit participants.

Cluster sampling and network or snowball sampling can also be effective methods for obtaining a large sample, depending on the research question and available resources.

Convenience sampling is correct.

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(a) The function f(x) = x^17 sin(x) - e^(-m) cos(3x) is uniformly continuous on the interval [0, ∞).

This can be justified by noting that the function is a composition of continuous functions, and the product, sum, and composition of continuous functions result in a continuous function. Since the interval [0, ∞) is a closed and bounded set, and the function is continuous, it follows that f(x) is uniformly continuous on [0, ∞).

(b) The function f(x) = x^3 is uniformly continuous on the interval [0, 1]. This can be justified by considering the fact that f(x) is a polynomial function, and all polynomial functions are uniformly continuous on any closed and bounded interval.

(c) The function f(x) = x^3 is not uniformly continuous on the interval (0, 1). This can be shown by considering the limit as x approaches 0 and 1. The function exhibits unbounded slopes as x approaches these endpoints, violating the condition for uniform continuity.

(d) The function f(x) = x^3 is not uniformly continuous on the set of real numbers, R. This can be shown by considering the behavior of the function as x approaches positive and negative infinity. The function does not exhibit bounded slopes at these extremes, violating the condition for uniform continuity.

(e) The function f(x) = 1 is uniformly continuous on the interval (0, 1]. Since the function is a constant, it has a constant slope of zero, satisfying the condition for uniform continuity.

(f) The function f(x) = sin(x) is uniformly continuous on the interval (0, 1). This can be justified by the fact that sin(x) is a periodic function with bounded slopes, and hence, it is uniformly continuous on any bounded interval.

(g) The function f(x) = x^2 sin(x) is not uniformly continuous on the interval (0, 1). This can be shown by considering the behavior of the function as x approaches zero. The product of x^2 and sin(x) leads to unbounded slopes near zero, violating the condition for uniform continuity.

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Use the form  a  sin  ( b x − c ) + d  to find the amplitude, period, phase shift, and vertical shift.

Amplitude:   100

Period:  π /  25

Phase Shift:  2 /5  (  2 /5  to the right)

Vertical Shift: 0

Answer:

\(a=2, b=2 \;and\; c= - 6\)

Step-by-step explanation:

The given polynomial is
ax³ - 8x² -24x

Expand ax(x+b)(x+c) and compare

(x + b)(x + c) using the FOIL method is

x²+cx+bx+bc = x² + (b + c)x + bc

ax(x+b)(x+c) = ax(x² + (b + c)x + bc)

= ax³ + a(b+c)x² + abcx

The coefficient of a must be 2

abc must be -24 and since a = 2, 2bc = -24
bc = -24/2 = -12

This means b = -12/c

a(b+c) = -8

Since a = 2, 2(b+c) = -8

b + c = -8/2 = -4

Substitute b = -12/c in b+c = -4 to get
-12/c + c = -4

Multiply by c throughout
-12 + c² = -4c

c² + 4c -12 = 0

Factor
(c + 6)(c - 2) = 0

So c = -6 or c = 2

The only choice which has c = - 6 is the second choice
So c = -6 and b = -12/-6 = 2

Answer
a=2, b=2 and c= - 6

We could verify by plugging back the values into ax(x + b) ( x + c)

= ax³+ax² (c+b) +abcx to get
2x³ + 2x²(-6 + 2) + 2(2)(-6)x
= 2x³ +2x² (-4) + -24x

= 2x³ - 8x - 24x which is the given polynomial

Answer: Christian bought 256 fluid ounces of juice. I don't know about the unit rate.

Step-by-step explanation:

Answer:

307 fl oz

Step-by-step explanation:

Answer:

-3000

Step-by-step explanation:

edge2021

Answer: -3000

Step-by-step explanation: Did it on Edge and got it right!

Answer:

29 degrees

Step-by-step explanation:

If I read your question correctly, your degree measures were

35, 52, and 3(x+2).

We know that all triangle angles measure up to 180 degrees, so we can add all of the given degree values to 180.

35+52+3(x+2)=180

Now, we can solve for x.

87+3x+6=180

93+3x=180

3x=87

x=29

The profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

To find the profit of each person, we can use the concept of ratios.

First, let's find the total investment made by both Aslam and Akram:
Total investment = Aslam's investment + Akram's investment
Total investment = 27000 + 30000 = 57000

Next, let's calculate the ratio of Aslam's investment to the total investment:
Aslam's ratio = Aslam's investment / Total investment
Aslam's ratio = 27000 / 57000 = 0.4737

Similarly, let's calculate the ratio of Akram's investment to the total investment:
Akram's ratio = Akram's investment / Total investment
Akram's ratio = 30000 / 57000 = 0.5263

Now, we can find the profit of each person using their respective ratios:
Profit of Aslam = Aslam's ratio * Total profit
Profit of Aslam = 0.4737 * 66500 = 31474.5

Profit of Akram = Akram's ratio * Total profit
Profit of Akram = 0.5263 * 66500 = 35025.5

Therefore, the profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

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Answer:

i need pionts bbut it is b

Step-by-step explanation:

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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Answer:

11/16 is the answer or 22/32

according to question we have proved that d/dx(csc(x)) = -csc(x) * cot(x).

To prove that d/dx (csc(x)) = -csc(x) cot(x), we can use the quotient rule and the identity csc(x) = 1/sin(x):

d/dx(csc(x)) = d/dx(1/sin(x))

Using the quotient rule, we have:

d/dx(1/sin(x)) = (-1/sin^2(x)) * d/dx(sin(x))

Using the chain rule, we have:

d/dx(sin(x)) = cos(x)

Substituting this back in, we get:

d/dx(csc(x)) = (-1/sin^2(x)) * cos(x)

Using the identity cos(x) = cos(x) * (1/sin(x)) * sin(x), we can rewrite the expression as:

d/dx(csc(x)) = (-1/sin^2(x)) * cos(x) * (1/sin(x)) * sin(x)

Simplifying this gives:

d/dx(csc(x)) = (-cos(x)/sin^2(x)) * (1/sin(x))

Using the identity cot(x) = cos(x)/sin(x), we can write this as:

d/dx(csc(x)) = (-cot(x)) * (1/sin(x))

Finally, using the identity csc(x) = 1/sin(x), we get:

d/dx(csc(x)) = -csc(x) * cot(x)

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The values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

We can use the following formulas to find the variance of X:

Var(X) = E[X^2] - (E[X])^2

E[X] = p1 + 2p2 + 3p3

E[X^2] = p1 + 4p2 + 9p3

Substituting these expressions into the formula for the variance, we get:

Var(X) = p1 + 4p2 + 9p3 - (p1 + 2p2 + 3p3)^2

Simplifying this expression, we get:

Var(X) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\)

To maximize Var(X), we want to maximize this expression subject to the constraint p1 + p2 + p3 = 1. We can use Lagrange multipliers to find the maximum. Let:

L(p1, p2, p3, λ) = -\((p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3 + λ(1 - p1 - p2 - p3)\)

Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 2/7, p2 = 3/7, p3 = 2/7, λ = 4/7

Therefore, the values of p1, p2, p3 that maximize Var(X) are p1 = 2/7, p2 = 3/7, and p3 = 2/7.

To minimize Var(X), we want to minimize the expression \(-(p1^2 + 2p2^2 + 3p3^2) + 2p1p2 + 6p1p3 + 4p2p3\) subject to the constraint p1 + p2 + p3 = 1. We can use the same Lagrange multiplier method to find the minimum. Taking partial derivatives and setting them equal to zero, we get:

-2p1 + 2p2 + 6p3 - λ = 0

4p1 - 4p2 + 4p3 - λ = 0

6p1 + 8p2 - 6p3 - λ = 0

p1 + p2 + p3 = 1

Solving these equations, we get:

p1 = 0, p2 = 1/3, p3 = 2/3, λ = 2/3

Therefore, the values of p1, p2, p3 that minimize Var(X) are p1 = 0, p2 = 1/3, and p3 = 2/3.

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Answer:

tyuklgfdzrxtiyku,j mncihknbjhtu

Step-by-step explanation:

he greatest common factor of 7x^4y^2 - 12x^3y^3 is the greatest number that can divided both terms of the expression

The greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2

The expression is given as:

7x^4y^2 - 12x^3y^3

Factor out x^3

x^3(7xy^2 - 12y^3)

Factor out y^2

x^3y^2(7x - 12y)

The first factor of the expression represents the greatest common factor of 7x^4y^2 - 12x^3y^3

Hence, the greatest common factor of 7x^4y^2 - 12x^3y^3 is x^3y^2

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Answer:

x = 6

Step-by-step explanation:

44 + 3x = 5x + 2x + 20 transfer like terms to the same side of the equation with the opposite sign:

44 - 20 = 5x + 2x - 3x add/subtract like terms

24 = 4x divide both side by 4

6 = x

Answer:

A

Step-by-step explanation:

Add all 3 angles together and you get 4x + 16 = 180

The correct choice is $0.25. The soda costs $0.25. The total cost of the hamburger and soda is $7.50. x + (x + $7) = $7.50.

Let's denote the cost of the soda as "x" (in dollars).

According to the given information, the hamburger costs $7 more than the soda, so the cost of the hamburger can be expressed as "x + $7".

The total cost of the hamburger and soda is $7.50. We can set up the equation:

x + (x + $7) = $7.50

Simplifying the equation, we combine like terms:

2x + $7 = $7.50

Next, we isolate the variable "x" by subtracting $7 from both sides of the equation:

2x = $7.50 - $7

2x = $0.50

Finally, we solve for "x" by dividing both sides of the equation by 2:

x = $0.50 / 2

x = $0.25

Therefore, the soda costs $0.25.

So, the correct choice is $0.25.

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