A student jogs 28 laps around the track at school. How long will it take for the student to jog 28 laps if he
travels 2 laps in 1.5 minutes? (Hint: This is a 2-part question.)
hellpppp

Answer:

The area is 8

Step-by-step explanation:

If the perimeter is 12, we can just start guessing and checking. in this case, if 4 is the length, that means 2 is its width, since 4-2=2. then you find the area(basexhight) 4x2=8!

Answer:

w = -(5 u)/7

Step-by-step explanation:

Solve for w:

-w - 4 u = 6 w + u

Hint: | Isolate w to the left-hand side.

Subtract 6 w - 4 u from both sides:

-7 w = 5 u

Hint: | Solve for w.

Divide both sides by -7:

Answer: w = -(5 u)/7

The point (1, 18), in the proportional relationship, means 18 cookies will require 1 cup of flour.

In a proportional relationship graph that models the relationship between two variables, x and y, a point on the graph means the value of x that will give a corresponding value of y. It is expressed as, (x, y).

(x, y) means the quantity of x that will give a corresponding quantity of y considering the proportional relationship between variables x and y.

Thus, the graph shows a proportional relationship between the number of cups of flour (y) that was used to make different numbers of cookies.

Thus, the point (1, 18) means that for 18 cookies to be made, 1 cup of flour is to be used.

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Answer:

13.86

Step-by-step explanation:

\(8^2+x^2=16^2\\64+x^2=256\\x^2=192\\\sqrt{x^2} =\sqrt{192} \\x=13.86\)

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

Answer:

Mean, Median and Mode are collectively known as measures of central tendency

Step-by-step explanation:

They are used in statistics to represent and interpret data in various ways.

Answer:

b.20

Step-by-step explanation:

brainliest please

Answer:

The answer is 20

Step-by-step explanation:

Explanation

We are given a right-angled triangle with the following:

We are required to determine the missing side (i.e. the value of x).

We can achieve this by using the Pythagorean theorem as follows:

Hence, the answer is:

There are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.

To find the number of unique 4-digit integers (excluding leading zeros) where the sum of the digits is 6, we can use a combinatorial approach.

Let's consider the four digits as four distinct positions: A, B, C, and D. The sum of the four digits is 6, so we need to distribute these six units among these four positions.

We can solve this problem using stars and bars. Imagine we have six stars (representing the six units) and three bars (representing the three dividers between the positions). The bars help us separate the units into four distinct positions.

For example, if we have the configuration "* | * * | * * | *," it represents the digits 1, 2, 2, and 1. The sum of these digits is 6.

The number of ways to arrange the six stars and three bars is given by the binomial coefficient (6 + 3 choose 3). Using the formula for combinations, we have:

(6 + 3) C 3 = (9 C 3) = 9! / (3! * (9 - 3)!) = 84.

So, there are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.

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The answer are :

x = 5

y = 20

z = 17.3

Sorry for bad handwriting

if i was helpful Brainliests my answer ^_^

Answer:

x = 82°

y = 8°

Step-by-step explanation:

\(x + 98 = 180 \\ x = 180 - 98 \\ x = 82\)

\(y + x = 90 \\ y + 82 = 90 \\ y = 90 - 82 \\ y = 8\)

Answer:

-3.25 then -2 1/2

Step-by-step explanation:

the greater the number in the negative side the less the amount

To compute the value of α, we need more information about the context of the problem. α could represent different variables or parameters depending on the specific situation. Please provide additional details or clarify the context so that I can assist you further.

To compute the cumulative distribution function (CDF) for x, we need the probability density function (PDF) or the probability mass function (PMF) for x. The CDF gives the probability that a random variable takes on a value less than or equal to a specific value. If we have the PDF or PMF for x, we can compute the CDF by integrating or summing the PDF or PMF values from negative infinity up to the given value of x. This integration or summation gives us the area under the PDF or PMF curve up to x.

For example, if we have the PDF f(x) = 2x for 0 ≤ x ≤ 1, the CDF F(x) would be the integral of f(x) from 0 to x. The CDF would be F(x) = x^2 for 0 ≤ x ≤ 1. To compute the expectation for x, we need the probability distribution of x. The expectation, also known as the mean or average, represents the central tendency of a random variable. If we have the probability distribution of x, we can compute the expectation by multiplying each value of x by its corresponding probability and summing them up. This can be represented as E(x) = ∑(x * P(x)), where x represents the possible values of x and P(x) represents their corresponding probabilities. For example, if we have the probability distribution P(x) = {0.3, 0.5, 0.2} for x = {1, 2, 3}, the expectation E(x) would be E(x) = (1 * 0.3) + (2 * 0.5) + (3 * 0.2) = 1.9.

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Answer:JT=15

Step-by-step explanation:

The value of JT for the given line segment will be 15 units.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the line segment, CT in between point J exists.

So,

CT = CJ + JT

6x + 4 + 2x + 9 = 37

8x + 13 = 37

8x = 24

x = 3

So,

JT = 2(3) + 9 = 15

Hence "The value of JT for the given line segment will be 15 units".

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The question is missing an image attached below,

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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Answer:

7.5

Step-by-step explanation:

750 is the volume, so divided by then is 75, then divided by 10 again is 7.5

Hope this helps!

Answer:

7.5

Step-by-step explanation:

10x10x7.5=750

a. The system of inequalities that models the situation is:

The equation for the cost is: C(x,y) = 0.2x + 0.4y.

b. The graph is given by the image at the end of the answer, and the vertices are (4,4), (10,4) and (10,7).

c. The number of clay beads and glass beads in a necklace that costs the least to make is: 4 clay beads and 4 glass beads.

The variables for the system are presented as follows:

Each necklace has no more than 10 clay beads and at least 4 glass beads, hence the constraints are listed as follows:

The numbers of each beads are countable amounts, meaning that they cannot assume negative values.

Four times the number of glass beads is less than or equal to 8 more than twice the number of clay beads, hence the final constraint is of:

4y ≤ 8 + 2x.

Each clay bead costs $0.20 and each glass bead costs $0.40, hence the cost function is given as follows:

C(x,y) = 0.2x + 0.4y.

Using the three constraints, the graph is given by the image at the end of the answer, and the vertices are as follows:

The minimum cost is at the vertex with the smallest numeric value of the cost function, hence the numeric values are listed as follows:

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Answer:

diameter of the pizza = 21.88 centimeters

Step-by-step explanation:

Given:

C = d^2 – 2d + 447

where

C = cost of the pizza

d = diameter of the pizza

If the pizza costs $12.00, then what is a reasonable estimate for the diameter of the pizza?

12 = d^2 – 2d + 447

d^2 - 2d = 447 - 12

d^2 - 2d = 435

d^2 - 2d - 435 = 0

Solve the quadratic equation using formula

a = 1

b = -2

c = -435

d = -b +or- √b^2 - 4ac / 2a

= -(-2) +or- √(-2)^2 - (4)(1)(-435) / 2(1)

= 2 +or- √4 - (-1740) / 2

= 2 +or- √4 + 1740 / 2

= 2 +or- √1744 / 2

= 2 +or- 4√109 / 2

= 2/2 +or- 4√109/2

= 1 +or- 2√109

d = 1 + 2√109 or d = 1 - 2√109

= 1 + 2(10.44) or d = 1 - 2(10.44)

= 1 + 20.88 or d = 1 - 20.88

d = 21.88 or -19.88

diameter of the pizza = 21.88 centimeters

Therefore, the estimated diameter of the pizza can not be negative. So, diameter of the pizza = 21.88 cm

The diameter of the given pizza would be 27.56 cm. Check below how Middle Term Factors work.

Factorization by Splitting the Middle Term is the method of dividing the middle term into two factors. We know that composite numbers can be expressed as the product of prime numbers. For example, \(42 = 2 \times 3 \times 7\)Here, 2, 3, and 7 are the prime factors of 42.

The given function is,

\(C=d^2-2d+447\)

As the given cost of the pizza is $12.00 then from the given equation we get,

\(d^2-2d+447=1200\)

Now, solving the above by the formula  quadratic equation,

\(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

Now, applying the obtained equation to the above formula we get,

\(d^2-2d+447=1200\\d^2-2d-753=0\\d=\frac{-(-2)\pm2 \sqrt{754} }{2} \\d=1+\sqrt{754}\\ or\ d=1-\sqrt{754}\)

So, the required diameter of the given equation is,

\(d=1+\sqrt{754}\\d=27.46 cm\)

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Answer:

6

Step-by-step explanation:

12/2=6/1=6

Answer:

6

Step-by-step explanation:

The total arc length AB that the pendulum travels is approximately 13.96 inches.

To find the total arc length traveled by the pendulum, we can use the formula for the arc length of a pendulum given by:

Arc length (s) = θ × r

where θ is the angle in radians and r is the length of the pendulum.

However, in this case, we are given the angle in degrees, so we need to convert it to radians. The formula for converting degrees to radians is:

θ (in radians) = (π/180) × θ (in degrees)

Given that the angle is 80°, we can convert it to radians as follows:

θ (in radians) = (π/180) × 80° = (4π/9) radians

Now, we can calculate the arc length:

Arc length (s) = (4π/9) radians × 10 inches

The total arc length traveled by the pendulum is therefore:

Arc length (s) = (40π/9) inches

To approximate the answer, we can use the value of π as approximately 3.14:

Arc length (s) ≈ (40 × 3.14/9) inches

Arc length (s) ≈ 13.96 inches

Therefore, the total arc length AB that the pendulum travels is approximately 13.96 inches.

Please note that this calculation assumes that the pendulum swings in a perfect arc without any friction or external factors affecting its motion. In reality, there may be slight variations due to factors such as air resistance or imperfections in the pendulum's motion.

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To plot the first 30 terms of the sequence given by an = 1/2(an−1 + an−2) with a1 = 1 and a2 = 2, we can use a loop to calculate the values of each term and store them in a list. Starting with the initial values a1 and a2, we iterate from n = 3 to n = 30, calculating each term using the recurrence relation. Here's the Python code to accomplish this:

import matplotlib.pyplot as plt

# Initialize the first two terms

a = [1, 2]

# Calculate the remaining terms

for n in range(3, 31):

   an = 1/2 * (a[n-2] + a[n-3])

   a.append(an)

# Plot the sequence

plt.plot(range(1, 31), a, marker='o')

plt.xlabel('n')

plt.ylabel('an')

plt.title('Plot of the Sequence')

plt.show()

The resulting plot will show the values of the sequence for n = 1 to n = 30. The sequence starts with the initial values 1 and 2, and each subsequent term is calculated as the average of the previous two terms multiplied by 1/2. As n increases, the values of the sequence fluctuate and may converge or diverge depending on the initial values.

Plotting the sequence helps visualize the pattern and behavior of the terms. It allows us to observe any trends, periodicity, or convergence that may exist in the sequence. In this case, we can see the pattern of alternating values as the sequence progresses.

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Answer:

Step-by-step explanation:

Mike is at the shop for school supplies. He sees some pencils he wants to buy. He sees that if he buys twelve of the same item, the store will take off $8. How much will twelve pencils cost at the store if one pencil is $5.99?

Equation: 12x-8

12x-8 =

12(5.99) - 8 =

71.88 - 8 =

$63.88

Hope this helps:)

The word problem that can be modeled by the

expression → 12x - 8 is written and solved below.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is the following expression -

12x - 8

The world problem is as follows -

An ice cream store sells different flavours of ice cream at different rates. The cost of chocolate flavored ice cream is $12 per piece. If a person buys more than 15 ice - creams and wants it to be packed, the extra cost of packaging is decided by the following formula as →

cost of packaging = c[p] = (n/2) + 2

where n is the cost of ice cream.

If sam buys 'x' ice creams of chocolate flavor for his birthday party, calculate the total amount that sam has to pay to the shopkeeper.

Solution -  

Cost of 1 chocolate flavored ice cream = $12

Cost of x chocolate flavored ice cream = $(12x)

Since, 20 > 15, the extra cost of packing will be -

c[p] = n/2 + 2 = 12/2 + 2 = $8

The equation representing the total cost to be paid is -

Total cost [y] = 12x + 8

y = 12x + 8

Therefore, the word problem that can be modeled by the

expression → 12x - 8 is written and solved above.

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Answer:

-5x^3+8

Hope this helps

Answer:

1

Step-by-step explanation

Since you are given two points you can calculate the slope by use the formula Y1-Y2/X1-X2.

In this case:

Y1 = 5

Y2 = 7

X1 = 7

X2 = 9

(5-7)/(7-9) = -2/-2 = 1

A is the linear function :)

Answer:

The tax is $32375.

Step-by-step explanation:

1/2 of 35,000 is 17,500.

1/8 of 35,000 is 4375.

1/5 of 35,000 is 7000.

1/10 of 35,000 is 3500.

17500 + 4375 + 7000 + 3500 = 32375.

Therefore, the grocery store pays $32,375 in taxes.