Write the expression as the logarithm of a single number or expression
4 In 2 +3 In 5
4 In 2 + 3 In 5-
(Simplify your answer.)​

Answers

Answer 1

Answer:

ln(2000) = 7.601

Step-by-step explanation:

For this we need to know the rules of logarithms, specifically the product rule and the power rule.  The product rule is simply ln(a*b) = ln(a) + ln(b).  The power rule is simply ln(a^b) = b ln(a).

With these rules, let's begin to simplify the expression:

4 ln(2) + 3 ln(5)

= ln(2^4) + ln(5^3)

= ln(16) + ln(125)

= ln(16 * 125)

= ln(2000)

= 7.601

Hope this helps.  Cheers.

Answer 2

A logarithm is a power to which a number must be raised in order to get some other number.

The value of the expression 4 log 2 + 3 log 5 as a single number is 3.30102.

What is a log?

A logarithm is a power to which a number must be raised in order to get some other number.

Example:

log 10 = 1

log 100 = log 10² = 2 log 10 = 2 x 1 = 2
log 1000 = log 10³ = 3 log 10 = 3 x 1 = 3

log 0 = undefined

log 1 = 0

We have,

Some formulas for log:

log[tex]x^{n}[/tex] = n log x

log mn = log m + log n

Given,

4 log 2 + 3 log 5

= log [tex]2^{4}[/tex] + log [tex]5^{3}[/tex]

= log 16 + log 125

= log (16 x 125)

= log 2000

= 3.30102

Thus the value of the expression 4 log 2 + 3 log 5 as a single number is

3.30102.

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Related Questions

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Explain how you can classify shapes, using the distance and slope formula. <—I got this part I just really need an example. Provide examples to support your response 

Answers

Answer:

Step-by-step explanation:

Try to use the distance formula to determine whether the sides are congruent. So take every pair of consecutive vertices and apply the distance formula. So you will have which, in any, sides are congruent.

Use the slope formula to determine which sides are parallel or perpendicular or neither of those. If the slopes are equal the sides are parallel, if the product of the slopes is - 1 the sides are perpendicular. In any other case the sides are neither parallel nor perpendicular.

With that and the definitions of the shapes you will be able to classify shapes.

To write a full example would be very long .

An easy one might be this as an example:

Given the  points (0,0), (2,0), (2,2) and (0,2), classify the shape.

When you apply the distance formula: you will find 2 for all the sides, so they are all congruent.

When you apply the slope formula you will find two pair of parallel sides, and the sides that intersects are perpendicular.

Therefore... the classification of the shape is a square.

A card is drawn from a well shuffled deck of 52 cards. What is the probability of drawing an ace or a 9? Round to nearest thousandth

Answers

Answer:

.154

Step-by-step explanation:

There are 52 cards

There are 4 aces and 4  9's for a total of 8 cars

P (ace or 9) = number of aces or 9's / total

                   = 8/52 = 2 /13 =.153846154

To the nearest thousandth

                      = .154

Answer:

0.154

Step-by-step explanation:

We want to find the probability of drawing an ace or a 9.

P(ace or 9)= aces and 9s / total cards

There are 4 aces and 4 9s in a standard deck of cards. This means there is a total of 8 aces and 9s.

In a standard deck of cards, there is a total of 52 cards.

P(ace or 9)= aces and 9s / total

aces and 9s= 8

total= 52

P(ace or 9)= 8/52

This fraction can be simplified. Both the numerator and denominator can be evenly divided by 4.

P(ace or 9)= (8/4) / (52/4)

P(ace or 9)= 2/13

P(ace or 9)= 0.153846153846154

Round to the nearest thousandth. The 8 in the ten thousandth place tell sus to round the 3 up to a 4.

P(ace or 9) = 0.154

The probability of drawing an ace or 9 is 0.154

The length of a rectangle is 7 more than the width. The area is 744 square centimeters. Find the length and width of the rectangle.

Answers

Answer:

the width of the rectangle is 24 centimeters and the length is 31 centimeters.

Step-by-step explanation:

We first have to write an equation for this, but let's just recall that the area of a rectangle is equal to the length times the width. A=L×W.

A is the area

L is the length

W is the width.

So, for our equation we can start out by putting that 744= ? times ?.

So, we are given that the length is 7 more than the width. We are going to have to translate that to represent the length.

We need a variable. Let's use the letter "W," the width of the rectangle.

W=W.

The length is 7 more than the width, so it is L=W+7.

Length represents the W+7

Width represents W.

Now, we can complete our equation.

744=W(W+7).

Simplify the expression.

744=[tex]W^{2}[/tex]+7W.

Alright, you may be thinking on how we are going to solve this problem. This equation correlates with quadratic functions.

Let's complete the square.

In a quadratic function, the standard from is y=[tex]ax^{2} +bx+c[/tex].

We need to find the c value.

We can do this by applying a formula. The formula states that c= b/2 and the whole thing squared. In other words, [tex](\frac{b}{2} )^{2}[/tex].

In this case, the b value is 7.

square 7, which is 49 and square 2 which is 4.

Now, the c value is 49/4.

We have now just created a perfect square trinomial.

Not only do we add 49/4 to W squared plus 7W, we also add 49/4 to 744.

744 plus 49/4 is 756/25.

Now, we have [tex]W^{2}+7w+\frac{49}{4} = 756.25[/tex]

Change W squared plus 7w plus 49/4 to a binomial squared.

Just take the square root of the a value, W, and 49/4 for c. the square root of W squared is W. the square root of 49/4 is 7/2.

Those values are to the power of 2.

In other words, [tex](W+\frac{7}{2})^{2} =756.25[/tex]

To isolate for W, take the square root of both sides.The square root of W plus 7/2 squared is just W+7/2. The square root of 756.25 is 27.5

There are two solutions for W because square roots be positive or negative, but we are dealing with positive since negative doesn't make sense with the context of the problem.

We have [tex]W+3.5 or \frac{7}{2}=27.5[/tex]

Isolate for W by subtracting both sides by 3.5 You get to W=24.

Therefore, the width of the rectangle is 24 centimeters.

Alright, we found the width. We now need to find the length. The problem stated that the rectangle was 7 more than the width. So, 24+7=31. Therefore, the length of the rectangle is 31 centimeters.

L=31cm

W=24cm.

I hope this was helpful! I wish you have an amazing day!

17. What is the most likely outcome of decreasing the wavelength of incident light on a diffraction grating? A. lines become narrower B. distance between lines increases C. lines become thicker D. distance between lines decreases

Answers

When the wavelength of a diffraction grating is decreased,  the distance between lines decreases.

What is a diffraction grating?

The diffraction grating is used to carry out interference experiments. It consists of a  number of small lines that are constructed to be close to each other and produce an interference pattern.

The outcome of decreasing the wavelength of incident light on a diffraction grating is that the distance between lines decreases.

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The initial population of a town is ​, and it grows with a doubling time of 10 years. What will the population be in ​years?

Answers

Answer:

This question is incomplete, i will answer it as:

"The initial population of a town is ​A, and it grows with a doubling time of 10 years. What will the population be in X ​years?"

Ok, the growth of a population usually is an exponential growth, so we can write this as:

P(t) = A*exp(r*t)

Where A is the initial population.

r is the rate of growth, and t is our variable, in this case, number of years.

Now we know that when t = 10y, the population doubles, so we should have:

P(10y) = 2*A = A*exp(r*10y)

2 = exp(r*10)

ln(2) = r*10

ln(2)/10 = r = 0.069.

Then our equation is:

P(t) = A*exp(0.069*t)

Now, if we want to know the population in X years, we need to replace the variable t by X

P(t = X) = A*exp(0.069*X)

Solve the given integral equation for LaTeX: y(t)y ( t ). LaTeX: y(t)+9\displaystyle{\int_{0}^{t}e^{9(t-v)}y(v)\, dv}=\sin(3t)y ( t ) + 9 ∫ 0 t e 9 ( t − v ) y ( v ) d v = sin ⁡ ( 3 t ) Group of answer choices LaTeX: y(t)=3\cos(3t)+9\sin(3t)-9 y ( t ) = 3 cos ⁡ ( 3 t ) + 9 sin ⁡ ( 3 t ) − 9 LaTeX: y(t)=3\cos(3t)+\sin(3t)-3 y ( t ) = 3 cos ⁡ ( 3 t ) + sin ⁡ ( 3 t ) − 3 LaTeX: y(t)=3\cos(3t)+\sin(3t) y ( t ) = 3 cos ⁡ ( 3 t ) + sin ⁡ ( 3 t ) LaTeX: y(t)=3\cos(3t)+9\sin(3t) y ( t ) = 3 cos ⁡ ( 3 t ) + 9 sin ⁡ ( 3 t ) LaTeX: y(t)=\cos(3t)+3\sin(3t)-3

Answers

Looks like the equation is

[tex]y(t)+9\displaystyle\int_0^te^{9(t-v)}y(v)\,\mathrm dv=\sin(3t)[/tex]

Differentiating both sides yields the linear ODE,

[tex]y'(t)+9e^{9(t-t)}y(t)=3\cos(3t)[/tex]

or

[tex]y'(t)+9y(t)=3\cos(3t)[/tex]

Multiply both sides by the integrating factor [tex]e^{9t}[/tex]:

[tex]e^{9t}y'(t)+9e^{9t}y(t)=3e^{9t}\cos(3t)[/tex]

[tex]\left(e^{9t}y(t)\right)'=3e^{9t}\cos(3t)[/tex]

Integrate both sides, then solve for [tex]y(t)[/tex]:

[tex]e^{9t}y(t)=\dfrac1{10}e^{9t}(\sin(3t)+3\cos(3t))+C[/tex]

[tex]y(t)=\dfrac{\sin(3t)+3\cos(3t)}{10}+Ce^{-9t}[/tex]

The given answer choices all seem to be missing C, so I suspect you left out an initial condition. But we can find one; let [tex]t=0[/tex], then the integral vanishes and we're left with [tex]y(0)=0[/tex]. So

[tex]0=\dfrac{0+3}{10}+C\implies C=-\dfrac3{10}[/tex]

So the particular solution is

[tex]y(t)=\dfrac{\sin(3t)+3\cos(3t)-3e^{-9t}}{10}[/tex]

A bike tire just ran over a nail, and it is losing pressure at a rate of 5% every minute. The tire pressure is currently 1,300 kilopascals. What will it be in 3 minutes? If necessary, round your answer to the nearest tenth.

Answers

Answer:

1,114.6 kPa

Step-by-step explanation:

P(t) = 1300 (0.95)^t

P(3) = 1300 (0.95)^3

P(3) = 1114.6

Find the x-value of the removable discontinuity of the function. ​

Answers

Answer:

x=2

Step-by-step explanation:

[tex]f(x)=\frac{x^2-4}{x^2-12x+20}[/tex]

Factor the numerator and denominator:

[tex]f(x)=\frac{(x-2)(x+2)}{(x-2)(x-10)}[/tex]

We can remove (x-2) from the function:

[tex]f(x)=\frac{x+2}{x-10}[/tex]

(x-2) is a removable discontinuity.

The x-value of x-2 is x=2.

If x^2/2 is added to sum of y^2/2
,the number equals to 0 . find the value of x and y

Answers

Answer:

0

Step-by-step explanation:

x ^2/2 + y^2/2 = 0

Then x and y can be 0

0^2/2 + 0^2/2

0/2 +0/2 = 0

0 + 0 = 0

0 = 0

You work in a machine design department and need to specify the diameter of a pin that slides back and forth through a hole. The hole diameter is specified as 0.500 inch with a tolerance of 0.010 inch. The maximum pun diameter must be 0.002 inch smaller than the minimum hole diameter. If the pin diameter has a tolerance of 0.010 inch what diameter in inches should you specify for the pin?

Answers

Answer:

B. 0.478

Step-by-step explanation:

The diameter of the pin is 0.478 inches as per specification.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators.

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

The hole diameter is specified as 0.500 inches with a tolerance of 0.010 inches.

The maximum pun diameter must be 0.002 inches smaller than the minimum hole diameter.

Diameter: d = 0.500 inch

Tolerance: t = 0.010 inch

Replacing the values:

⇒ dmax = 0.500  - 0.010 - 0.002 - 0.010

Apply the subtraction operation,

⇒ dmax = 0.478 inch

Hence, the diameter of the pin is 0.478 inches as per specification.

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Phuong collects Persian and Oriental rugs in a ratio of 3:4. If Phuong has 84 Oriental rugs, how many rugs are in his collection?

Answers

Answer:

The answer is

147

Step-by-step explanation:

Let the total number of rugs be x

To find the total number of rugs we must first find the total parts which is

3 + 4 = 7

4/7 of the total rugs are 84 Oriental rugs

Which is written as

[tex] \frac{4}{7} x = 84[/tex]

Multiply through by 7

[tex]7 \times \frac{4}{7} x = 84 \times 7[/tex]

Simplify

[tex]4x = 588[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{588}{4} \\ \\ \\ \\ x = 147[/tex]

The total number of rugs is 147

Hope this helps you

Which of the following box plot best represents the set of data below

Answers

Answer:

C. Box plot B

Step-by-step explanation:

Safegate Foods, Inc., is redesigning the checkout lanes in its supermarkets throughout the country and is considering two designs. Tests on customer checkout times conducted in two stores where the two new systems have been installed result in the following summary of the data: System A System B Size 120 100 mean 4.1 minutes 3.4 minutes Standard Deviation 2.2 minutes 1.5 minutes Test at the 0.05 level of significance to determine whether the population mean checkout times of the two systems differ. Which system is preferred?
Use both the critical and p-value approach.
Hypotheses:
Decision rule:
Calculations:
Conclusions:

Answers

Answer:

the answer would be calculations

Step-by-step explanation:

because they have do determine if the check out times differ between the two systems so they need to calculate the difference between the two

Find the left critical value for 95% confidence interval for σ with n = 41. 26.509 24.433 55.758 59.342

Answers

Answer: 59.342

Step-by-step explanation:

The chi-square critical values are used to find the confidence interval for σ.

Left critical value = [tex]\chi^2_{\alpha/2, n-1}[/tex] [i.e. chi-square value from chi-square table corresponding to degree of freedom n-1 and significance level of [tex]\alpha/2[/tex]]

To find : left critical value for 95% confidence interval for σ with n = 41.

Significance level : [tex]\alpha=1-0.95=0.05[/tex]

degree of freedom = 41-1=40

Now, the  left critical value for 95% confidence interval for σ with n = 41 is the chi-square value corresponding  to degree of freedom n-1 and [tex]\alpha/2=0.025[/tex]

=59.342  [from chi-square table ]

Select all the correct answers. Which of these pairs of functions are inverse functions?

Answers

Answer:

D

Step-by-step explanation:

an inverse function is a function that reverses another function for ex. if f(x)=y and g(y)=x.

Answer:

A and C

Step-by-step explanation:

a tax of 0.19 dollars is imposed on each baga of potato chips that is sold. the tax generates revenue of approx 10,000 dollars and ddecreases the equilibrium wuantyiy of potato chips by 156 bags per day/ the tax creates a deadweight lsos of how many dollars

Answers

Answer:

The tax creates a deadweight loss of $29.64 dollars per day.

Step-by-step explanation:

a) A bag of potato chips generates $0.19 per bag

If 156 bags are not sold each day because of the imposed tax, the deadweight loss is calculated as follows:

156 x $0.19 = $29.64 per day

b) A deadweight loss is the inefficiency cost imposed by the tax because it causes decreases the equilibrium quantity of bags of potato chips sold each day by 156.  By dislocating the equilibrium and the market forces, the tax makes the economy to suffer overall.  This may imply that the rate of the tax was not economically reasonable.  Unless a tax is imposed to discourage an activity or a consumption, the rate should not be so high as to create inefficiencies in the allocation of economic resources.

Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .

Answers

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = [tex]r_{0}[/tex] + t.v

where

[tex]r_{0}[/tex] is the position vector;

v is the vector;

For point (7,4,5):

[tex]r_{0}[/tex] = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k

The parametric equations of the line are of the form:

x = [tex]x_{0}[/tex] + at

y = [tex]y_{0}[/tex] + bt

z = [tex]z_{0}[/tex] + ct

So, the parametric equations are:

x = 7 + 3t

y = 4 + 2t

z = 5 - 5t

several different positive integers are written on a blackboard. the product of the smallest two of them is 16. the product of the largest 2 of them is 225. what is the sum of the integers?

Answers

Answer:

44

Step-by-step explanation:

The integers 2,8,9 and 25 fit to the terms of the problem.

So the smallest two are 2 and 8 =>2*8=16

and 9*25=225

Note that another pair of integers which product is 16 can be 1 and 16.

However it means that both numbers which product is 225 are bigger  than 16 - this is not possible so 16*16=256>225

So only numbers 2,8,9 and 25 fit to the terms of the problem.

Note that there is no any integer number between 8 and 9 . So there are four integers in total and these integers are 2,8,9 and 25.

The sum of these integers is 2+8+9+25=44

Interpret the standard deviation in this problem.Group of answer choicesWe expect most of the sampled heights to fall within 9.8 inches of their least squares predicted values.We expect most of the sampled heights to fall within 4.9 inches of their least squares predicted values.We expect most of the sampled dad's heights to fall within 4.9 inches of their least squares predicted values.We expect most of the sampled dad's heights to fall within 9.8 inches of their least squares predicted values.

Answers

Answer:

Hello some parts of your question is missing below is the missing part

suppose we use a person's dad's height to predict how short or tall the person will be by building a regression model to investigate if a relationship exists between the two variables. Suppose the regression results are as follows:

Least Squares Linear Regression of Height

Predictor

Variables    Coefficient    Std Error T P

Constant    20.2833    8.70520 2.33    0.0223

DadsHt 0.67499 0.12495    5.40    0.0002

R² 0.2673 Mean Square Error (MSE) 23.9235

Adjusted R² 0.2581    Standard Deviation 4.9000

Answer : We expect most of the sampled heights to fall within 9.8 inches of their least squares predicted values.

Step-by-step explanation:

standard deviation is the statistical measurement of the level at which a dataset disperses from its mean value

interpreting the standard deviation in this problem ,

given that the standard deviation is 4.9 inches, it simply means that the dataset heights will be either +4.9 inches or -4.9 inches away from the mean value. this means that most of the sampled Dad/'s height will fall within 9.8 inches of their least squares predicted values

A random sample of 10 subjects have weights with a standard deviation of 11.6144 kg. What is the variance of their​ weights? Be sure to include the appropriate units with the result.

Answers

Answer:

Variance=134.8943 kg

Step-by-step explanation:

The relationship between standard deviation and variance is that standard deviation is the square root of the variance.

So given the value of standard deviation to be 11.6144kg, the variance will be the square of the number.

Standard deviation= √variance

Standard deviation ²=√variance²

Standard deviation ² = variance

11.6144²= variance

134.8943

Variance=134.8943 kg

Answer:

122.4409 kg

Step-by-step explanation:

The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table

Answers

First step
Using substitution you can fill 2x + 11 in for the y part of the first equation
This will look like: 2x + 11 = -x^2 -2x + 8

Second step
Now we need to solve for the variable by combining like terms you can start by adding x^2 + 2x -8 to both sides
You get 0 = x^2 +4x +3

Third step
Factor
(X+3)(x+1)=0

If you need the y values you can fill in x= -3 to the second equation y= 2(-3) + 11 and y=5
First point is (-3,5)

The other point is found by filling x=-1 into the second equation: y= 2(-1) +11 and y = 9
Second point is (-1,9)

Solve:
3/x -4>0

A.) x<4
B.) x>-4
C.) x>4
D.) x<-4

Answers

Answer:

x > 4

Step-by-step explanation:

Marcia is a bag that contains four green marbles, eight yellow marbles, and 20 red marbles. If she chooses one marble from the bag, what is the probability that the marble is not red?

Answers

Answer:

3/8

Step-by-step explanation:

The bag contains 4 green marbles, 8 yellow marbles and 20 red marbles.

The total number of marbles is 32.

She chooses one from the bag.

The probability of the marble not being red is:

P(not red) = 1 - P(red)

P(not red) = 1 - (20 / 32) = 1 - 5/8

P(not red) = 3/8

The probability of it not being red is 3/8.

x/-8 ≥−5 solve for x

Answers

Answer:

x ≤ 40

Step-by-step explanation:

x/-8 ≥−5

Multiply each side by -8, remembering to flip the inequality

x/-8 *-8 ≤−5 *-8

x ≤ 40

Answer:

x ≥ 40

Step-by-step explanation:

[tex]\frac{x}{-8} \geq -5[/tex]

x ≥ -5 * -8

x ≥ 40

Check

40 / -8 ≥ -5

If you are given the graph of g(x)=log2x, how could you graph f(x)=log2x+5

Answers

Answer:

The plus 5 is a vertical translation. It would move g(x) up 5 units at all points. So just take g(x) and move the curve up 5 units.

Graph the linear equation. Find three points that solve the equation. - 3x +2y=2

Answers

Answer:

y=3/2x+1   0,1  2,4  4,7

Step-by-step explanation:

-3x+2y=2

+3x

2y=3x+2

/2    /2    /2

y=3/2x+1

A study was conducted to measure the effectiveness of hypnotism in reducing pain. The measurements are centimeters on a pain scale before and after hypnosis. Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal. Does hypnotism appear to be effective in reducing pain? In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the difference in the measurements on a pain scale before and after hypnosis. What is the test statistic for this hypothesis test?

Answers

Answer:

Step-by-step explanation:

Hello!

This is an example of a pared sample test, the experiment is based on two dependent variables:

X₁: centimeters on a pain scale before hypnosis

X₂: centimeters on a pain scale after hypnosis

Out of these two variables a new variable is determined Xd= X₁-X₂

If the variables have an approximate normal distribution then the variable resulting from their difference will also have an approximate normal distribution.

The claim is that "hypnosis reduced the pain" if so you'd expect the population mean of the difference to be less than zero, symbolically: μd<0

The statistic for this test is a paired sample t test:

[tex]t= \frac{\frac{}{X_d} - Mu_d}{Sd} ~t_{n-1}[/tex]

To calculate the sample mean and variance you have to calculate the difference between the pairs first.

[tex]\frac{}{Xd}[/tex]= ∑Dif/n

[tex]S_d^2= \frac{1}{n-1} [sumDif^2- \frac{(sumDif)^2}{n} ][/tex]

∑Dif= 6.4

∑Dif²= 12.64

[tex]\frac{}{Xd}[/tex]= 6.4/5= 1.28

[tex]S_d^2= \frac{1}{4} [12.64- \frac{(6.4)^2}{5} ]= 1.112[/tex]

Sd= 1.05

[tex]t_{H_0}= \frac{\frac{}{Xd}-Mu_d }{Sd} = \frac{1.28-0}{1.05} = 1.219= 1.22[/tex]

I hope this helps!



How do I tell if scatterplot is linear?

Answers

try drawing a light line through the points, is the line straight ? or is it curved. if straight it is linear.
i looked it up because i wasn’t sure how to explain very well , i will include a picture . i hope it helps :)

WHY CAN'T ANYONE HELP ME? Twice last​ month, Judy Carter rented a car in​ Fresno, California, and traveled around the Southwest on business. The car rental agency rents its cars for a daily​ fee, plus an additional charge per mile driven. Judy recalls that her first trip lasted 4​ days, she drove 440 ​miles, and the rental cost her ​$286. On her second business trip she drove 190 miles in 3​ days, and paid ​$165.50 for the rental. Find the daily fee and the mileage charge.

Answers

Answer:

The daily rate is $33 and the per mile rate is $0.35

Step-by-step explanation:

4x + 440y = 286

3x + 190y = 165.5

We can solve this systems of equations by multiplying the second statement by [tex]-\frac{4}{3}[/tex] to try and eliminate the x variable.

4x + 440y = 286

-4x - [tex]\frac{760}{3}[/tex]y = -220[tex]\frac{2}{3}[/tex]

[tex]\frac{560}{3}[/tex] y= [tex]\frac{196}{3}[/tex]

560y = 196

y = 0.35

So, the rate per mile is 0.35. Now, with this info, let's find the daily rate by plugging it into the equation.

[tex]4x + 440\cdot0.35 = 286\\4x + 154 = 286\\4x = 132\\x = 33[/tex]

So, the daily rate is $33 and the mile rate is $0.35.

Hope this helped!

Answer:

the daily fee =33 dollars

and the mileage charge.=0.35

let d: be daily fee and m for mileage

cost of rental =(d*number of days)+ (m*number of mileage)

her first trip: 4d+440m=286

her second trip: 3d+190m=165.5

solve by addition and elimination

4d+440m=286 ⇒ multiply by 3 ⇒12d +1320m=(3)286

3d+190m=165.5⇒ multiply by 4⇒12d+190(4)m=4(165.5)

12d+1320m=858

12d+760m=662

subtract two equation to eliminate d

12d+1320m-12d-760m=858-662

560m=196

m=7/20=0.35 for on mileage

d: 4d+440m=286

4d=286-440(0.35)

d=(286-154)/4 33 dollars

[URGENT] (25 points) Ryan randomly drew a marble out of a bag of marbles, then put it back. He did
this 25 times. Of the 25 times he drew a red marble 6 times. He concluded
that the probability of drawing a red marble was
6/25​

Answers

Answer:

Unpredictable

Step-by-step explanation:

Cuz if u look at it it is also random and u cant predict a random thing, so its quite simply unpredictable

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