14. Find the indefinite integral using u = 7 - x and rules for the calc 1 integration list only. Sx(7-x)¹5 dx

Answer:

Step-by-step explanation:

10 grams

Answer:

47/10 - 3.2

Step-by-step explanation:

Given

Dolphin = 3.2

Bird = 47/10

Required

What is the vertical distance between both

Using a vertical scale;

Represent the bird "above sea level" position with positive and dolphin at "below sea level" position with negative.

The vertical distance between them is as follows;

Distance = +[Above The Sea] - [Below The Sea]

Distance = +47/10 - 3.2

Distance = 47/10 - 3.2

Hence, the vertical distance between both is 47/10 - 3.2

20 knots is equivalent to 23 mph. Knots and miles per hour (mph) are both units of speed that are used to measure the speed of moving objects, such as boats or airplanes.

One knot is equal to one nautical mile per hour, while one nautical mile is equal to approximately 1.15 statute miles (which is the standard unit of distance used in the US). Therefore, to convert 20 knots to mph, we can use the following formula:

20 knots x 1.15 statute miles per nautical mile = 23 statute miles per hour

It's important to note that when converting between different units of speed, it's essential to check the units being used and convert them accordingly to avoid any errors.

Additionally, some industries, such as aviation and marine, may use knots as the primary unit of speed rather than mph or km/h, so it's important to know the appropriate unit to use in a given context.

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The probability that Cameron drew a 3, given that the card was a spade, is 1/13.

In a standard deck of cards, there are 52 cards in total, and 13 cards of each suit (spades, hearts, diamonds, and clubs).

Since Cameron drew a card from the deck and we know that it was a spade, we can calculate the probability of drawing a 3 given this information.

There are a total of 13 spades in the deck, and out of these 13, there is only one 3 of spades. Therefore, the probability of drawing a 3 given that the card is a spade is 1 out of 13.

So, the probability that Cameron drew a 3, given that the card was a spade, is 1/13.

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The measures of the angles are given as follows:

1. p = 67º.

2. q = 27º.

To solve item 1, first we have to consider that the sum of the internal angles of a triangle is of 180º, hence we find angle x, which is the interval angle of angle p.

Hence:

x + 35 + 32 = 180

x + 67 = 180

x = 113º.

An angle and it's respective external angle are supplementary, meaning that the sum of it's measures are of 180º, hence:

p + x = 180

p + 113 = 180

p = 67º.

The internal angles are given as follows:

The sum of their measures is of 180º, hence we can simply solve for q as follows:

q + 128 + 25 = 180

q + 153 = 180

q = 27º.

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Answer:

The measures of the angles are given as follows:

1. p = 67º.

2. q = 27º.

Step-by-step explanation:

But you didn't have to cut me off

Make out like it never happened and that we were nothing (aah-ooh)

And I don't even need your love (ooh)

But you treat me like a stranger, and that feels so rough (aah)

No, you didn't have to stoop so low (ooh)

Have your friends collect your records and then change your number (aah)

I guess that I don't need that, though

Now you're just somebody that I used to know

This is the equation of the tangent to the curve f(x) = 3^x at x = 1 in standard form. Hence, the correct option is

y - 3 = 3ln3x - 3ln3.

Given function is

f(x) = 3^x.

We need to find the slope of the tangent to the curve at x=1.

Slope of the tangent to the curve

f(x) = a^x at x = c

is given by

f'(c) = a^c x ln (a)

Hence, the slope of the tangent to the curve

f(x) = 3^x at x = 1

is given by

f'(1) = 3^1 x ln (3)

= 3ln3

Thus, the slope of the tangent to the curve

f(x) = 3^x at x = 1 is 3ln3.

The equation of the tangent line to the curve y = f(x) at point P (a, f(a)) is given by

y - f(a) = f'(a) (x - a)

Where f'(a) is the derivative of f(x) at x = a.

The given function is

f(x) = a^x

and

x = 1.

Hence, we need to find the equation of the tangent to the curve at x = 1.

Substituting x = 1 and a = 3

in the equation of the tangent line, we get

y - f(1) = f'(1) (x - 1)y - 3

= 3ln3 (x - 1)y - 3

= 3ln3x - 3ln3

This is the equation of the tangent to the curve f(x) = 3^x at x = 1 in standard form. Hence, the correct option is

y - 3 = 3ln3x - 3ln3.

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Answer:

correct answer is c of your given questions

The main answer is f(-5) = 122.  To evaluate the function, we substitute -5 for x in the expression for f(x):

f(-5) = 4(-5)² + 62 - 2

= 4(25) + 60

= 122

Therefore, the value of the function at x=-5 is 122.
To evaluate the function f(x) = 4x² + 62 - 2 at f(-5), follow these steps:

Step 1: Write down the function.
f(x) = 4x² + 62 - 2

Step 2: Replace x with -5 in the function.
f(-5) = 4(-5)² + 62 - 2

Step 3: Calculate the value of the function.
f(-5) = 4(25) + 62 - 2

Step 4: Perform the operations.
f(-5) = 100 + 62 - 2

Step 5: Complete the calculation.
f(-5) = 160

f(-5) = 160

By substituting x with -5 in the function f(x) = 4x² + 62 - 2 and following the steps, we find that the value of the function at f(-5) is 160.

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Step-by-step explanation:

a ticket for 3 days cost = 35968

cost of 1 ticket = 35967÷3= 11989.33

therefore, 500 tickets cost= 500 x 11989.33

= 5994666.666, approximately 5994667

The probability that a student has a GPA under 2.0 given that he has skipped many classes is 8/11.

From the table we see that,

The student who have a GPA under 2.0 = 80

The student who has skipped many classes = 80 + 25 + 5

The student who has skipped many classes = 110

Hence, the probability that a student has a GPA under 2.0 given that he has skipped many classes = The student who have a GPA under 2.0/The student who has skipped many classes

The probability that a student has a GPA under 2.0 given that he has skipped many classes = 80/110

The probability that a student has a GPA under 2.0 given that he has skipped many classes = 8/11

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The complete question is:

One thousand students at a city high school were classified both according to GPA and whether or not they consistently skipped classes.

What is the probability that a student has a GPA under 2.0 given that he has skipped many classes?

A. 0.080

B. 0.281

C. 0.285

D. 0.314

E. 0.727

Using the slope concept, it is found that:

In this problem, the vertical change is the altitude of 10,000 feet.

The minimum horizontal distance is with an angle of 35º, hence:

\(\tan{35^{\circ}} = \frac{10000}{d}\)

\(d = \frac{10000}{\tan{35^{\circ}}}\)

\(d = 14281.5\)

The maximum horizontal distance is with an angle of 33º, hence:

\(\tan{33^{\circ}} = \frac{10000}{d}\)

\(d = \frac{10000}{\tan{33^{\circ}}}\)

\(d = 15398.6\)

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Answer:

110°

Step-by-step explanation:

Angles on a quadrilateral always add up to 360°.

So, 100+95+55 = 250.

360-250 = 110°

The required solution to the given inequality is x < 7/4.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given that,
To determine the simplified solution of the inequality 1/2x−1/4 < 5/8.
1/2x−1/4<5/8 .

Adding 1/4 on both sides of the equality,

1/2x < 5 / 8 + 1 / 4
Multiply by 2 on both sides of equality,
1 / 2x < 7 / 8
x < 7 / 4

So, the solution of inequality lies x greater than 7/4, as of the given conditions.

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The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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Answer: The expression 8-(6r+2) is equivalent to 8-6r-2.

When you subtract 6r + 2 from 8, you first subtract 2 from 8, which gives you 6. Then you subtract 6r from 6, which gives you 8-6r.

So 8-(6r+2) = 8-6r-2 = 8-6r

Step-by-step explanation:

The scale factor which is applied to the first rectangle to get the second rectangle is 2.5 .

The side length of the first rectangle is 3 units ;

the side length of the second rectangle is 7.5 units ;

To find the Scale Factor that was applied to the rectangle of side length 3 units to get the rectangle of side length 7.5 units,

We divide the side length of first rectangle by the side length of the second rectangle.

So, the scale factor is ⇒ 7.5/3 = 2.5 .

Therefore, a scale factor of 2.5 was applied to the rectangle of side length 3 units to get the rectangle of side length 7.5 units.

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The given question is incomplete , the complete question is

What scale factor was applied to the first rectangle of side length 3 units  to get the second rectangle of side length 7.5 units?

Answer: 1/2 inch = 1 foot

Step-by-step explanation: i got it right

Answer:

1/2 inch = 1 foot

Step-by-step explanation:

This is most likely the correct answer.

False. The F-test is not specifically designed to test the collective effect of all explanatory variables on the response. Rather, the F-test is used to compare the variances or mean squares of different sources of variation in a statistical model.

It is commonly used in analysis of variance (ANOVA) and regression analysis.

In the context of regression analysis, the F-test is typically used to assess the overall significance of a regression model by comparing the variation explained by the regression model to the residual variation. It helps determine if the regression model as a whole is statistically significant in explaining the variation in the response variable.

However, the F-test does not directly assess the collective effect of all explanatory variables on the response. To evaluate the individual significance of each explanatory variable or to assess the joint effect of multiple explanatory variables, other statistical tests or techniques such as t-tests or hypothesis tests for specific regression coefficients may be employed.

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Answer:

Step-by-step explanation:

commision the end of the year is;

7

------- × 412454

100

= $28871.78

bonus is ;

5

--------- × 28871.78

100

= 1443.589

total pay is 1443.589 + 28871.78

= $30315.369.

(b)

5

----------- × 316250

100

= $15812.5

total pay is = 15812.5 + 316250

= $332062.5

Answer:

C.

Step-by-step explanation: HOPE THIS HELPED

Answer:

j is the answer because 1/8 of the houses is 5 2/5 of 40 is 16 and 16 +5 =21 40-21 =19

Step-by-step explanation: There are 80 houses in a neighborhood.

• Company X provides electricity to one eighth of the

houses.

• Company Y provides electricity to two fifths of the

houses.

Company Z provides electricity to the

remaining houses.

In this neighborhood, Company Z provides electricity

to how many houses?

Based on evidence from the passage, the most likely inference is that plastic makes life convenient, but its uses have so many cons that its use should be reduced. The answer is option B

The pair of examples that best demonstrate why the use of plastic is a divisive topic is Plastic has advantages and Plastic is difficult to recycle efficiently. The answer is option (B)

Plastic makes life convenient, but its uses have so many cons that its use should be reduced is the most likely inference based on the evidence from the passage. It is tough to recycle due to low value when recycled, especially for single-use and convenience items like packaging and water bottles. Most of the plastic produced is not recycled and either ends up in landfills or as pollution in the environment.

The example: Plastic has advantages and the example: Plastic is difficult to recycle efficiently best demonstrates why the use of plastic is a divisive topic. Although plastic has numerous advantages, including making life convenient, it has a variety of drawbacks. Most of the plastic produced is not recycled, but rather ends up in landfills or as pollution in the environment.

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Answer:

300 liters

Step-by-step explanation:

If he uses 15, 2 liter bottles in a week,

then 15 * 2 = 30 liters in a week.

If he uses the same rate in 10 weeks then,

10 * 30 = 300 liters

The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year

From the question, we have the following parameters that can be used in our computation:

s(t) = 0.12t² − t + 5.7

In 2000, we have the value of t to be

t = 2000 - 1990

Evaluate

t = 10

So, we have

s(10) = 0.12 * 10² − 10 + 5.7

Evaluate

s(10) = 7.7

Hence, the rate in 2000 is 7.7 billion dollars per year

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Question

the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year

Calculate the rate of change in 2000

Answer:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

hope i helped and can u plz mark me brainlest

We set the radicand to be higher than or equal to zero to determine the domain of a radical function with even index. The radicand for an odd index radical can be any real integer. When the radical has an even index, the radicand must be larger than or equal to zero.

Note that an even radical function is a function of the form f(x) = √(g(x)), where g(x) is an even function. That is, the function is defined as the square root of an even function.

In several methods, either algebraically or visually, a function can be defined as even, odd, or neither. An even function is one whose graph remains intact when reflected in the y-axis.

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Answer: B) Translation

Step-by-step explanation: As seen in the figure, point a is translated downwards to point A`. The translation is 4 units down. We can see that this same translation applies from the points C to C` and B to B` as well, so the whole triangle is being translated.

the answer is in this equation somewhere