26. A bicycle touring club began a tour at

the local city hall and bicycled 6 miles

north, 8 miles west, 7 miles south, and 8

miles east. In what direction must they

now travel to return to city hall?

(1) north

(2) south

Answer:

A.

Step-by-step explanation:

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

$16 for lunch

$4 for coffee

$12 left

Step-by-step explanation:

32/2 = 16

16 * 1/4 = 4

32 - (16 +4) = 12

Answer:

A) m=n^2+6n+16

Step-by-step explanation:

sqrt(m-7)=n+3

m-7=(n+3)^2

m-7=(n+3)(n+3)

m-7=n^2+3n+3n+9

m-7=n^2+6n+9

m=n^2+6n+9+7

m=n^2+6n+16

Answer:

48 pints

Step-by-step explanation:

1 gal=8 pints

Hope this helps

Answer:

f(x)= -2(x-8)²+6

Step-by-step explanation:

First graph the points

you will get a parabola that has a vertex in (8,6) wich means h= 8 and k=6

so the equation is

to get a we will replace by the coordinates of a point for example (6,-2)

a is negative wich makes sense since the parabola opens down

The velocity of the ball thrown by your friend is approximately 4.17 meters per second.

To ascertain the speed of the ball, we want to utilize the condition of movement that relates distance, time, and speed increase. For this situation, we expect that the ball goes in an orderly fashion, and its speed increase is because of the power applied by your companion's toss. We can utilize the recipe:

distance = speed x time

We realize that the distance among you and your companion is 5 meters, and the time taken for the ball to travel that distance is 1.2 seconds. Hence, we can revise the equation to tackle for the speed:

speed = distance/time

Subbing the qualities, we get:

speed = 5/1.2 = 4.17 meters each second (approx.)

So the speed of the ball tossed by your companion is around 4.17 meters each second.

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Answer:

8%/100×500=$40

Kathleen pays $40 sales tax

Answer:

Image included:

Step-by-step explanation:

Answer:

98 i believe,

Step-by-step explanation:

hope this helps, have a great day :)

Answer:

The answers are below.

Step-by-step explanation:

The answer to the first question....Second Option (-4<x<infinity sign)

The answer to your second question....is 7

Hope this helped.

Have a great day/week.

Answer:

80,000

Step-by-step explanation:

Hope I helped. please mark brainiest.

Answer: 80,000

Step-by-step explanation: I did math give me brainliest pls

Answer

19 pants and 6 shirts

Since the room temperature is 22 degrees Celsius,

\(\frac{dT}{dt}=k(T-22)\)

Solving the differential equation,

\(\frac{1}{T-22} dT=k dt \\ \\ \int \frac{1}{T-22} dT=\int k dt \\ \\ \ln|T-22|=kt+C\)

When t=0, the temperature is 100 degrees.

\(\ln 78=C \\ \\ \implies \ln|T-22|=kt+\ln 78\)

When t=1, the temperature is 80 degrees.

\(\ln 58=k+\ln 78 \implies k=\ln(29/39) \\ \\ \implies \ln|T-22|=t \ln(29/39)+\ln 78\)

Setting t=4,

\(\ln|T-22|=4\ln(29/39)+\ln 78 \\ \\ T=22+e^{4\ln(29/39)+\ln 78} \approx \boxed{46}\)

To answer this question, solve the given expression for calculating velocity for a, this way:

The correct answer is B.

The top right graph could show the arrow's height above the ground over time.

The initial and the final height are both at eye level, which is the reference height, that is, a height of zero.

This means that the beginning and at the end of the graph, it is touching the x-axis, hence either the top right or bottom left graphs are correct.

The trajectory of the arrow is in the format of a concave down parabola, hitting it's maximum height and then coming back down to eye leve.

Hence the top right graph could show the arrow's height above the ground over time.

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Answer: Answer:the person entering the room is 10 years oldStep-by-step explanation:x / 5 = 40x = 40 * 5x = 200so the total of all the ages of 5 people

Step-by-step explanation:

The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

The maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD,

where

D = 100k,

L = 140k, L < 100psf,

Lr = 40k,

W = +160k or −100k, and

E = +180k or −125k is given below:

Design load = 1.2D + 1.6(Lr or S or R) + 0.5(L + Lr or R) + (W or E)

Here, D is the weight of dead load, L is the weight of live load, Lr is the weight of the roof live load, W is the weight of wind load and E is the weight of earthquake load.

Therefore, for the given loads,

D = 100k

L = 140k

Lr = 40k

W = +160k or −100k

E = +180k or −125k

Max load = 1.2D + 1.6(Lr) + 0.5(L + Lr) + W

= 1.2 (100) + 1.6 (40) + 0.5 (140 + 40) + 160

= 120 + 64 + 90 + 160

= 434 kips

Therefore, the maximum combined loads for a residential building using the recommended AISC 7 expressions for LRFD is 434 kips.

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Answer:

1/8-7/8= -3/4

Step-by-step explanation:

1/8-7/8 is just like 7/8-1/8 but is the opposite

7/8-1/8=6/8 or 3/4

1/8+6/8=7/8

1/8-1/8=0

0-6/8= -6/8 or -3/4

Answer:

time = distance/speed

3080/770 = 4

So it took 4 hours.

Step-by-step explanation:

Answer:

0.80

Step-by-step explanation:

I did the math 5 times

Answer:

71

Step-by-step explanation:

Take the cost of the item and multiply by the commission percent

800 * 8.875%

Change to decimal form

800*.08875

71

Answer:

71

Step-by-step explanation:

Simon earns 8.875 for a commission. yet for him to sold a rowboat that cost $800.

800*8.875

=$71

There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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Answer:

1       a

2      b

3      c

4      d

Step-by-step explanation:

1b

2d

3c

4a

Answer:

10(4) > 10,000

10-(4) > 0.0001

10(4)/10(2) > 0.000001

10-(4) * 10(2) > 1/10(4) 0.01

Step-by-step explanation:

Lines that have the same slope are parallel, whereas they are perpendicular if either the slope of one line is the negative reciprocal of both the slope of the other.

To help comprehend it, consider the following examples.

Lines that run parallel:

Taking two equations into account:

y = 2x +3 and y = 2x+5 are two examples.

When y = 2x +3 and y = 2x +5 are compared to y = mx + c

Lines are perpendicular if indeed the slope with one line is the negative reciprocal of both the slope of the other.

As a result, the two lines are perpendicular.

Lines with a similar slope are thus parallel, and if the slope of one line is the negative reciprocal of the slope of the second line, the lines are perpendicular; otherwise, the lines are really just intersecting lines.

Both lines have the same slope, m = 2, and people understand this because

Parallel lines are those that have the same slope.

As a result, the lines are parallel.

Perpendicular lines:

Consider a different set of equations.

4y = -2x+10 and y = 2x +3.

When y = 2x +3 and 4y = -2x+10 are compared to y = mx + c

The slopes are m = 2 and m = -1/2, respectively.

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Using proportions, the coordinates of F are given as follows: F(-3,5).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Point F divides the segment such that DF:EF is 5:3, hence the point F is 5/8 of the way, that is:

F - D = 5/8(E - D).

The x-coordinate of F is given by:

x + 13 = 5/8(3 + 13)

x + 13 = 10

x = -3.

The y-coordinate of F is given by:

y + 10 = 5/8(14 + 10)

y + 10 = 15

y = 5.

The coordinates of F are given as follows: F(-3,5).

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Answer:

Step-by-step explanation:

\(y = mx + 2\)

The true proportion of adults is in the interval 0.4026< P< 0.4594.

Here we have to estimate the true population of adults who would like to travel to outer space with 88% accuracy.

Data provided:

selected (x) = 329

Total(n) = 763

Sample proportion (p') = x/n

                                       = 329/ 763

                                       = 0.431

Critical z-value = 1.59

margin of error(E) = z\(\sqrt{p'( 1-p')/n}\)

                             = 1.59 \(\sqrt{0.431(1-0.431) / 763}\)

                             = 1.59 × 0.0179

                             = 0.0284

88% confidence interval is:

(p' ± E) = ( 0.431 ± 0.0284)

          = 0.4594 and 0.4026

Therefore the estimate is 0.4026< P< 0.4594.

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Univariate analyses involve examining a single variable to better understand its distribution, central tendency, and dispersion. Continuous variables, on the other hand, can take any value within a specific range, such as height or weight.

For discrete and continuous variables, different univariate analyses are appropriate. Discrete variables are those that can only take specific, distinct values, such as counts or categories. Appropriate univariate analyses for discrete variables include frequency tables, bar charts, and pie charts. Frequency tables show the distribution of values by listing each possible value and its corresponding count. Bar charts represent this information graphically, with the height of each bar corresponding to the count of each value. Pie charts display the proportion of each value in the overall distribution as a slice of a circle.
For continuous variables, appropriate univariate analyses include histograms, box plots, and density plots. Histograms divide the data range into equal intervals, or "bins," and display the count of values within each bin as bars. Box plots illustrate the distribution by showing the data's median, quartiles, and potential outliers. Density plots estimate the probability distribution of the data by using a continuous, smooth curve.
In summary, discrete variables can be analyzed using frequency tables, bar charts, and pie charts, while continuous variables can be examined using histograms, box plots, and density plots. These univariate analyses help visualize the distribution and characteristics of each variable type.

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