Solve the following problem:

5x - 3 = 4x + 3

A. x = 5

B. x = 6

C. x = 7

Answer:

B

Step-by-step explanation:

B was missed. You have to convert this from hours into minutes before you can deal with seconds.

Answer:

1

Step-by-step explanation:

There are 155 ways to select three vehicles so that at least one truck is chosen.

To solve the problem given above, we first need to calculate the total number of ways of choosing three vehicles without any restrictions. We can do this by using the combination formula.

The number of combinations of n objects taken r at a time is given by:

nCr = n! / r! (n - r)!

where n! is the factorial of n (i.e. the product of all positive integers up to n), r! is the factorial of r, and (n - r)! is the factorial of n - r.

Using this formula, we can calculate the total number of ways of choosing three vehicles as follows:

nCr = 11! / 3! 8! = 11 × 10 × 9 / 3 × 2 × 1 = 165

Now, we need to calculate the number of ways of choosing three vehicles so that no truck is chosen. Since there are 5 cars, we can choose 3 cars in 5C3 = 10 ways.

Therefore, the number of ways of choosing three vehicles so that at least one truck is chosen is given by the difference between the total number of ways of choosing three vehicles and the number of ways of choosing three vehicles so that no truck is chosen.

Thus, the number of ways of choosing three vehicles so that at least one truck is chosen is:

165 - 10 = 155

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The precise conditions or measurements of the actual flagpole in 1915, as specific details and available historical records would provide more accurate information.

To solve the problems related to the tallest flagpole in San Francisco in 1915, we need to make certain assumptions about the flagpole and its shadow.

The assumptions are necessary because the exact specifications of the flagpole and the available information may be limited or not explicitly stated. Here are some assumptions that can help in solving the problems:

1. Vertical Flagpole: We assume that the flagpole is perfectly vertical, meaning it stands upright without any significant tilt or lean. This assumption is crucial because it simplifies calculations and allows us to assume a right angle between the flagpole and the ground.

2. Straight Shadow: We assume that the shadow cast by the flagpole is a straight line. While this may not be entirely accurate due to the curvature of the Earth and potential obstructions, assuming a straight shadow allows for simplified calculations and approximations.

3. Clear and Direct Lighting: We assume that the lighting conditions are such that the shadow is clear and directly related to the flagpole's height. This assumption disregards factors like atmospheric conditions, surrounding structures, or objects that may cause distortions or interruptions in the shadow's length.

4. Known Angle of Elevation: We assume that we have information about the angle of elevation between the top of the flagpole and the tip of the shadow. This angle is necessary to determine the height of the flagpole using trigonometry. Without this information, it would be challenging to calculate the flagpole's height accurately.

However, it's important to note that these assumptions may not reflect the precise conditions or measurements of the actual flagpole in 1915, as specific details and available historical records would provide more accurate information.

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Answer:

10

Step-by-step explanation:

5²+10÷2

10+10÷2

20÷2

10

Answer:17.5

Step-by-step explanation:

5^2 is 25

25+10=35

35/2 is 17.5

Answer:

V=942.5

Step-by-step explanation:

V=(π)(r)^2(h)

V= (π)(10/2)^2(12)

V=942.5

Answer:

im not sure if this is right or not but i did the math and got 26

Step-by-step explanation:

let me know if i am or not pls

The estimated time it will take to drive from Kansas City to Des Moines is approximately 2 hours and 58 minutes, based on a distance of 193.39 miles and an average speed of 65.03 mph.

To find the time it will take to drive from Kansas City to Des Moines, we can use the formula: Time = Distance / Speed.

The distance traveled is given as 193 miles 39 miles, which we can interpret as 193.39 miles.

The average speed is given as 65 mph 3 mph, which we can interpret as 65.03 mph.

Using the formula, we can calculate the time:

Time = 193.39 miles / 65.03 mph ≈ 2.974 hours

To round the time to the nearest minute, we multiply the fractional part by 60 to convert it to minutes:

0.974 hours * 60 minutes/hour ≈ 58.44 minutes

Rounding 58.44 minutes to the nearest minute, we get 58 minutes.

Therefore, it will take approximately 2 hours and 58 minutes to make the drive from Kansas City to Des Moines.

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Answer:

Step-by-step explanation:

-14m - 5.25n =  (-1.75*8)m + (-1.75 * 3)n

                    = (-1.75) [ 8m + 3n)

Answer:

150

Step-by-step explanation:

because full capacity is 3/3, therefore you time 50 by 3, which will be 150 gallons

Answer:

77.10-pound sterling

Step-by-step explanation:

Has not been rounded

Answer:

\(P(x)=x^2+x-6\)

Step-by-step explanation:

Quadratic Polynomial

Assume we have a polynomial factored as:

P(x)=a(x-m)(x-n)

Where m and n are the zeros of P(x).

Operating:

\(P(x)=a(x^2-(m+n)x+mn)\)

Note the coefficient of x is the negative sum of the zeros and the independent term is the product of the zeros.

If we are given the zeros m=-3 and n=2, then:

\(P(x)=a(x^2-(-3+2)x+(-3)(2))\)

\(P(x)=a(x^2+x-6)\)

We can choose any value for a, for example, a=2:

\(P(x)=2x^2+2x-12\)

For a=1:

\(P(x)=x^2+x-6\)

The correct option is Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction

Emanuel did a mistake in her first step by taking negative sign twice.

Positive results are obtained if the sign are same. If the signs disagree, the outcome is adverse. Addition: Keep in mind that a signed number's magnitude and absolute value are the same.

Multiplication and division appear to be more difficult than addition and subtraction, but they are actually far less challenging. The result of multiplying two positive or two negative numbers with the same sign, according to the rule, will always be positive.

For instance:

According to question,

= \(\left(\frac{3}{5}\right)\left(\frac{4}{9}\right)\left(-\frac{1}{2}\right)\)

Emanuel found the solution, but she erred in the first step. She incorrectly distributes the negative sign with both 1 and 2, as she should. We can write negative sign with either 1 or 2 but not both.

Correct steps are:

Step 1:

\(\frac{(3)(4)(-1)}{(5)(9)(2)}\)

Step 2:

\(\frac{-12}{90}\)

Step 3:

\(-\frac{2}{15}\)

Therefore, the step 1 was miscalculated by Emanuel.

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The complete question is -

Emanuel used the calculations below to find the product of the given fractions. (Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)

Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction Step 2 StartFraction negative 12 over negative 90 EndFraction

Step 3 StartFraction 12 over 90 EndFraction

Step 4 StartFraction 2 over 15 EndFraction

In which step did his first error occur?

Answer: 400 inches by 10 inches

Step-by-step explanation:

Length of the bridge = 4000feet

Width of the bridge = 100 feet

Since Sue decides that her scale model needs to be 1/10th the size of the real bridge.

If she uses a scale of inches to feet, the dimensions of her model will be:

Length = 4000 × 1/10 = 400 inches

Width = 100 × 1/10 = 10 inches.

Therefore, the dimensions are 400 inches by 10 inches

Answer:

a. Savings account: 200 + 50w Checking account: 100 + 30w

b. 300 + 80w

c. 700

Step-by-step explanation:

b. 200 + 50w + 30w + 100 Combine like terms. 300 + 80w

c. 300 + 80w. w=5. 300 + (80*5) = 300 + 400 = 700

Answer:

C)$612.50

Step-by-step explanation:

Plss make me BRAINLIEST

If there is 30% discount, u will pay 70%(7/10) of actual price.

70% of $871

7/10 x 871 = $612.50

Answer:

$612.50

Step-by-step explanation:

875 x 30% = 262.50

875- 262.50= $612.50

Derivative of log(tanhx) = 2cossec(2x)

Let us assume y = log (tan hx)

On differentiating both sides ,

\( \frac{dy}{dx \: } = \frac{d \: log(tanhx)}{dx} \)

\( \frac{dy}{dx} = \frac{d log( \tan(hx) ) }{d \tan(hx).d \tan(hx) } \times dx\)

\( \frac{dy}{dx} = \frac{1}{ \tan(hx) \times \sec( {h}^{2x} ) } \)

\( \frac{dy}{dx} = \frac{ \cos(hx) }{ \sin(hx) } \times \frac{1 }{ \cos(h {}^{2} ) } \)

\( \frac{dy}{dx} = \frac{2}{2 \sin(hx). \cos(hx) } \)

\( \frac{dy}{dx} = \frac{2}{ \sin(h)(2x) } \)

dy/dx = 2 cos sec (2x)

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The required statement "outlier in a data set can significantly affect the value of the mean but not the median" is true.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

The average of a group of variables is referred to as the mean in mathematics and statistics.

There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Thus, given statement is true.

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I think that this number is already prime.

Step-by-step explanation:

I could be wrong

SOLUTION

(a) What percentage of adults exercise

percent adult that exercise becomes

Hence the answer is 42%

(b) Vegetarians is 39 + 21 = 60

percentage of the adults are vegetarian is

Hence the answer is 40%

(c) Adults who are vegetarian that exercise is 39

The percentage of adults who are vegetarian that exercise becomes

Hence the answer is 26%

(d)

The given statement is true. A 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.

A 97% confidence interval is a range of values that you can be 97% certain contains the true mean of the population. This is not the same as a range that contains 97% of the values.

It means that repeated samples of the same sample size will produce confidence intervals such that 97% of the intervals will contain the true but unknown parameter prior to drawing the sample. This is called the initial precision of the confidence interval.

Confidence intervals:

Confidence interval computes the range in which the true value lies with a specified confidence level and is generally denoted by a small c.

Therefore we get that a 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.

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Answer:

90

Step-by-step explanation:

Measure of one arc = 90°

-> Measure of other arc = 360°- 90° = 270°

x° = 1/2 (270° - 90°)

-> x° = 1/2 * 180°

-> x° = 90°

-> x° = 90°

-> x = 90

The answer is the probability of having lunch at least 6 days per week is 0.019 or  1.9%. The probability of having lunch exactly 6 times is 0.017 or 1.7%.

The probability of having lunch together is \($p=40 \%=0.4$\)

The probability of not having lunch together is \($q=1-p=0.6$\)

Number of trials (days in a week) is \($\mathrm{n}=7$\)

Let \($r=$\) number of days in the week when Andy and Anna have lunch together.

\(P(r \text { of } n)={ }_{n} C_{r} p^{r} q^{n-r}\)

Use th graphing calculator to obtain

\($$\begin{aligned}&P(6 \text { of } 7)={ }_{7} C_{6}(0.4)^{6}(0.6)=0.017 \\&P(7 \text { of } 7)={ }_{7} C_{7}(0.4)^{7}(0.6)^{0}=0.002\end{aligned}$$\)

Therefore

\($\mathrm{P}($\) at least 6 of 7\($)=\mathrm{P}(1$\) of 7\($)+\mathrm{P}(2$\) of 7\($)+\ldots+\mathrm{P}(6$\) of 7)

\($$\begin{aligned}&=0.131+0.261+0.290+0.194+0.077+0.017 \\&=0.97 \text { or } 97 \% \\&P(\text { at least } 6 \text { of } 7)=0.017+0.002=0.019=1.9 \% \\&P(\text { exactly } 6 \text { of } 7)=0.017 \text { or } 1.7 \%\end{aligned}$$\)

What is probability ?

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Answer:

The probability of them having lunch together at least 6 days a week is

0.019,

and the probability of having lunch exactly 6 times in a week is

0.017.

Step-by-step explanation:

The volume of prism P is 16.55 cm³.

Similar figures are those figures which are having the same shape, but the sizes are different.

Given that,

Prism P and prism Q are similar.

Ratio of the surface area of the prism P to Q = 1 : 3

Also, we have,

Volume of prism Q = 86 cm³

Scale factor of height of the prism would be square root of surface area of the prism.

Scale factor of volume of the prism would be the cube of the height of the prism.

Let volume of prism P be V(P) and volume of the prism Q be V(Q).

V(P) / V(Q) = 1 / (√3)³

V(P) = V(Q) / (√3)³

       = 86 / (√3)³

       = 16.55 cm³

Hence the volume of prism P is 16.55 cm³.

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The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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The point of rotation will be (-1, 2).

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

From the rules of rotation:

As we can see in the figure the shape has been rotated anticlockwise by 90°.

as we can see that point of rotation will be the point that would not change its position in the shape.

Thus, the point of rotation will be (-1, 2).

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Hello :D

A mutually exclusive event is something that can't happen at the same time. An example of this is tossing a coin. You can't get heads and tails at the same time. This is a mutually exclusive event.

Hope this helps :)

The quotient of 15 and 27.5, rounded to the nearest hundredth, is given as follows:

15/27.5 = 0.55.

The quotient of two amounts is given by the division of the first amount by the second amount.

The amounts in this problem are given as follows:

15 and 27.5.

Hence the division has the result given as follows:

15/27.5 = 0.545454.

To round to the nearest hundredth, we must look at the third digit. It is 5, hence one must be added to the second digit, and the rounded result is given as follows:

15/27.5 = 0.55.

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Answer:

170 person r in the zoo so it depends

Answer:

Yes, if two random vectors are independent, then after a same transformation they are still independent. This is a consequence of the fact that the transformation of independent random variables does not affect their independence.

To understand this, suppose we have two independent random vectors X and Y, and a transformation function f(.).

If we apply the same transformation f(.) to both X and Y to get f(X) and f(Y), then the independence between X and Y will still hold in the transformed variables f(X) and f(Y).

This is because the transformation f(.) does not introduce any new relationship between the variables, it simply changes their scale or shape. As a result, if X and Y are independent, then f(X) and f(Y) will also be independent.

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