A girl jogs around a track for 45 minutes. How far does the girl jog if she travels at a speed of 0.15 m/min?

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Answer: (-\(\infty\), \(\infty\))

Step-by-step explanation:

The following graph is a graph with a slant asymptote, which is an asymptote that isn't horizontal or vertical (i.e. doesn't have a slope of 0 or \(\infty\)).

To review, an asymptote is a line that the graph of a function approaches, but will never touch. Normally, a horizontal asymptote would limit the range as the graph can never cross a certain y-value.

However, there is no such y-value that must not be crossed in a slant asymptote; therefore, there is not limitation to the range. The range would be all real numbers.

Hence, the range of function h is (-\(\infty\), \(\infty\)).

Answer:

The triangles are similar.

Step-by-step explanation:

They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.

The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles are shown in figure.

Here, All the corresponding angles are same in both triangles.

And, The ratio of their corresponding sides are,

In triangle TUV;

⇒ 90 / 108 = 30 / 36

In triangle QRS;

⇒ 30 / 36

Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

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The area of the logo would be 15 inch.

What is the area of a region?

Region's Area (Calculus) A region's area. Let y = f(x) be a nonnegative function representing a smooth curve on the closed interval [a, b]. The area of the region defined by the f(x) curve, the x-axis, and the vertical lines x = a and x = b.

The area of the logo can be found by counting the number of 1-inch squares it covers.

The logo covers 3 squares vertically and 5 squares horizontally, for a total of 3 x 5 = 15 square inches.

So the answer to the question "What is the area of the logo in square inches?" is 15.

Therefore, The area of the logo would be 15 inch.

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Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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The blocks in this design are c. the four different litters. The pigs within each litter were grouped together as a block, and the three dietary supplements were randomly assigned to the two pigs within each block.

This helps control for any variation between litters that could affect the results of the feed trial. The 24 identical pens are not the blocks in this design, but rather the units where the treatments were applied.

A litter is defined as the live birth of several young at once in an animal from the same mother and typically from the same pair of parents, especially three to eight young. The term is most frequently used to refer to the offspring of mammals, although it can also refer to any animal that bears numerous offspring.

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Answer:

4 is the slope

Step-by-step explanation:

y = -5+4x

We know the slope intercept form is

y = mx+b

where m is the slope and b is the y intercept

y = 4x-5

where 4 is the slope and -5 is the y intercept

After doing proportional we will get:
i) Express y in terms of x : y = kx

ii) The value of y when x = 11 is 33

iii)  the value of x when y = 12 is 4

What is proportional?
If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality as well as proportionality constant, then the two sequences of numbers are proportional as well as directly proportional. If corresponding elements in two sequences have a constant product, also known as the coefficient of proportionality, then the two sequences seem to be inversely proportional. This definition is frequently expanded to include connected variable quantities, also known as variables. Variable has a different meaning in mathematics than it does in everyday language (see variable (mathematics)); such two concepts share the same name due to a shared etymology.

i) y ∝ x

y = kx

when y = 6, x = 2

6 = 2k

k = 3

y = kx

ii) y = 3x

y = 3(11)

y = 33

iii) y = 3x

12 = 3x

x = 4

iv) For the graph:

x  0  1  2

y  0  3 6

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The integral of \((1/3)cos^3(x) dx\) is equal to b) \((1/3)sin(x) - (1/9)sin^3(x) + C\).

To find the integral of \((1/3)cos^3(x) dx\), we can use the substitution method.

Let's substitute u = sin(x). Then, du/dx = cos(x) dx.

To solve for dx, we can rearrange the equation as dx = du/cos(x).

Now, we can rewrite the integral in terms of u:

∫\((1/3)cos^3(x) dx\) = ∫\((1/3)(1 - sin^2(x))(cos(x)) dx\)

                 = ∫\((1/3)(1 - u^2) du\)

Integrating with respect to u:

\(= (1/3)u - (1/3)(u^3/3) + C\)

\(= (1/3)sin(x) - (1/9)sin^3(x) + C\)

Therefore, the integral of \((1/3)cos^3(x) dx\) is equal to b) \((1/3)sin(x) - (1/9)sin^3(x) + C\).

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Financial records  are important records and thus, needs to be saved safely. The method for solid system to keep it is: Option d. I, II, and III

Financial records are records of all financial transactions and receipts. They're needed for future cases like some contradictions, to get past details, to analyze data to make prediction about future sale and for development of the organization etc.

For keeping them, they should be saved in an easily accessible, and hardly destroy-able place. So that its prevented safely but accessible faster with correct authentication.

For the given case, for solid system for keeping financial records, we can actually follow all the three steps provided.

I. Making a mental note of all purchases made during the week. II. Recording money spent in a hand-held notebook. III. Organizing receipts and transactions on a computer.

Thus,

The method for solid system to keep it is: Option d. I, II, and III

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Answer:

it do be D

Step-by-step explanation:

Answer:

Area of the sector = \(\frac{\pi }{8}\) cm²

Step-by-step explanation:

Measure of the given arc = 45°

Central angle formed by the arc = 45°

Formula to be used,

Area of the sector bounded by the arc = \(\frac{\text{Central angle}}{360}\times \pi r^{2}\)

Here, r = radius of the circle

Area of the sector = \(\frac{45}{360}(\pi)(1)^2\)

                               = \(\frac{\pi }{8}\) cm²

Answer:

x>-1.5

Step-by-step explanation:

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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From the given picture, we can see a cylinder in option A. Strictily speaking, a cylinder is not a prism as the other options because a prism has edges, vertices and faces and the cylinder has not faces in the circular shape. Therefore, the answer is option A (cylinder)

For runners in a race, it is more desirable to have a lower percentile for a finish time.

A lower percentile means a shorter time which is faster. The 20th percentile of run times in a particular race is 5.2 minutes, which means that 20% of runners finished the race in 5.2 minutes or less and 80% of runners finished the race in 5.2 minutes or longer. A bicyclist in the 90th percentile of a bicycle race completed the race in 1 hour and 12 minutes, so he is among the fastest cyclists because 90% of cyclists were slower than him.

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The expression that's in the simplest term will be -12a² + b².

It should be noted that an expression means a mathematical statement that has a minimum of two terms containing variables.

In this case, the expression that's in the lowest term will be -12a² + b². This is because it's can't be simplified further.

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Answer:

B answer is correct hiiii

Answer: 50

Step-by-step explanation:

D. {s, t, a, i, c}

The sample space must contain outcomes which are possible to obtain in a probability. Since the word 'statistics' doesn't contain letter e(A), r(B) and l(C) thus Option D is the correct answer.

Hope this helps :)

Answer:

Yes and no (YES: can be a triangle, but NOT a right angle triangle)

Step-by-step explanation:

Notice 8^2+11^2=185

while 17^2=289

Notice Pythagoras do apply for every right triangle. since 185 is not 289. is not a right triangle. But it can be a triangle (just not a right angle triangle)

The adverse fuel economy in the US customary unit of miles per gallon would be approximately 28.57 miles/gallon.

To convert the adverse fuel economy from liters per 100 kilometers to miles per gallon, we'll use the conversion factors given:

1 US gallon ≈ 3.78541 liters

1 kilometer ≈ 0.621371 miles

Converting liters per 100 kilometers to gallons per 100 miles, we get,

Adverse fuel use = 14 liters/100 km

To convert liters to gallons, we divide by the conversion factor:

Adverse fuel use in gallons = 14 liters / (4 liters/US gallon)

                          = 3.5 gallons

To convert kilometers to miles, we multiply by the conversion factor:

100 km ≈ 62.1371 miles

Adverse fuel economy = (Distance traveled in miles) / (Fuel used in gallons)

                   = 100 miles / 3.5 gallons

                   ≈ 28.57 miles/gallon

Therefore, the adverse fuel economy in the US customary unit of miles per gallon would be approximately 28.57 miles/gallon.

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Answer:

D

Step-by-step explanation:

The intersection of the graphs is at (-3,4).

Answer:

(-3,4)

Step-by-step explanation:

we have to find the point in common of the two lines, that is where they intercept.

when we write a point, we have to sign first the coordinate of the x, and then the coordinate of the y.

So the answer is : (-3,4)

Answer:

Step-by-step explanation:10 minutes 5 seconds per mile

6 minutes 15.93 seconds per kilometer

5.95 miles/hour

9.58 kilometers/hour

159.6 meters/minute

2.66 meters/second

The answer is z test.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

Here the data is normally distributed and using the sample mean.

Hence we should use z test when computing a confidence interval

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Answer:

5x^2 - 2x - 3

Step-by-step explanation:

(x-1) (5x+3)

5x^2 + 3x - 5x - 3

5x^2 - 2x - 3

So, the answer is 5x^2 - 2x - 3

By using some exponent properties, we will find the equivalent expression:

(m⁻²*n⁻³)⁻⁴ = m⁸*n¹²

Here are some exponent properties that we need to use:

(aⁿ)ˣ = aⁿ*ˣ

(a⁻ⁿ) = (1/a)ⁿ

Here we have the expression:

(m⁻²*n⁻³)⁻⁴

The exponents can be distributed under multiplication, then:

(m⁻²)⁻⁴*(n⁻³)⁻⁴

Now we can use the first property so we get:

(m⁻²)⁻⁴*(n⁻³)⁻⁴ = m⁽⁻²*⁻⁴⁾*n⁽⁻³*⁻⁴⁾

m⁽⁻²*⁻⁴⁾*n⁽⁻³*⁻⁴⁾ = m⁸*n¹²

That is the equivalent expression.

(m⁻²*n⁻³)⁻⁴ = m⁸*n¹²

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Answer:

$14.975

Step-by-step explanation:

Multiply them togther.

Answer:

14.975

Step-by-step explanation:

its simple just divide 5.99 in half then multiply 5.99 by two and then add the answer you got when you divided then you get your answer

Answer:

625

Step-by-step explanation:

This is a reoccurring permutation

so it is 5^3

Answer:

True

False

False

Step-by-step explanation:

Answer: 17/60

Step-by-step explanation:

Change all of the fractions to have a common denominator:

LCM of 10, 12, 15 is 60

You get 12/60, 25/60, and 54/60.

54/60 is what he had at the start, and so you can just subtract what he gave away

54/60-12/60=42/60

42/60-25/60=17/60

17 is a prime number so you cannot simplify the fraction

Answer:

17/60

Step-by-step explanation:

First we find the LCM of 10, 12, and 5, which is 60.

He started with 54/60.

He gave away 12/60, leaving 42/60.

He gave away another 25/60, leaving 17/60.

He had 17/60 of a pizza left over.

Answer:

1/26

explanation:

The total amount that Mrs. Figueroa spent on the beef for the spaghetti is D. $18.95.

The total cost of an item is the quantity (units) multiplied by the unit cost price.

For Mrs. Figueroa to determine the total amount she spent on the beef, she has to multiply the unit cost ($3.99) by the units (4.75 pounds).

The number of pounds of beef purchased = 4³/₄ or 4.75 pounds

Cost of beef per pound = $3.99

Total cost of beef = $19.95 ($3.99 x 4.75)

Thus, the total amount that Mrs. Figueroa spent on the beef for the spaghetti is D. $18.95.

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Answer:

18.95

Step-by-step explanation: