A ball rolled 83 feet in 4 minutes. What was this balls average speed,in feet per second (round to the nearest hundredth)

The solutions to the quadratic equation f(x) = x² + 10x - 1 are x = -5 + √26 and x = -5 - √26

To solve the quadratic equation f(x) = x² + 10x - 1

we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, a = 1, b = 10, and c = -1.

Substituting these values into the quadratic formula:

x = (-(10) ± √((10)² - 4(1)(-1))) / (2(1))

= (-10 ± √(100 + 4)) / 2

= (-10 ± √104) / 2

Simplifying further:

x = (-10 ± 2√26) / 2

= -5 ± √26

Therefore, the solutions to the quadratic equation f(x) = x² + 10x - 1 are:

x = -5 + √26 and x = -5 - √26

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Answer:

10 x 11 to the 10th power

Step-by-step explanation

Answer: Your mom

Step-by-step explanation:

HEHEHEHA

Answer:

Step-by-step explanation:

The +2 is the y-intercept, what value is y when x is zero. The -5/1  is your slope. Slope is always rise over run, y over x. Over 1, down 5

Answer:

it is A

Step-by-step explanation:

i remember doing this in middle school.

Management has decided to inspect a sample of 20 phones from the day's production, which consists of 1,000 iPhones.

To ensure the quality of the iPhones' display screens, the management of the factory, where 1,000 iPhones were produced, has decided to inspect a sample of 20 phones from the day's production. This decision allows them to evaluate the quality of the screens efficiently.

Inspecting a sample of 20 phones from the day's production is a practical approach to quality control. It would be impractical and time-consuming to inspect each individual phone's display screen out of the 1,000 produced. By selecting a representative sample, the management can make reasonable inferences about the overall quality of the entire batch.

Sampling provides a cost-effective way to assess quality while minimizing the time and resources required. Since it takes about 10 minutes to inspect an individual phone's display screen, inspecting all 1,000 phones would take approximately 10,000 minutes or over 166 hours. By inspecting a sample of 20 phones, the total inspection time reduces to only 200 minutes or around 3.3 hours. This significantly reduces the inspection time without compromising the assessment of quality.

The chosen sample size of 20 phones is a balance between statistical reliability and practicality. It is large enough to provide a representative snapshot of the batch's quality, ensuring that any potential issues with the display screens can be identified. However, it is also small enough to be manageable within a reasonable timeframe.

During the inspection process, the chosen sample of 20 phones will undergo a thorough examination of their display screens. This evaluation aims to identify any deviations or defects from the desired quality standards set by the management. If issues are found within the sample, appropriate actions can be taken, such as improving the manufacturing process, addressing quality control measures, or conducting further inspections.

By inspecting a sample of 20 phones, the management can make informed decisions regarding the quality of the iPhones' display screens before shipping them to retail stores. This sampling approach balances efficiency, practicality, and reliable quality assessment, ensuring that the end-users receive products that meet the desired standards.

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Answer:

u can use "a squared + b squared = c squared"

in this case the two legs are 10 and 24 because they are near the right angle. the hypotenuse is always across from the right angle, so it's the long side that connects the two legs. Now you can plug in 10 and 24 for the pythagorean theorem and solve for the hypotenuse. that would be 10 squared plus 24 squared equal to c squared.

Answer:

26

Step-by-step explanation:

You would use the Pythagorean theorem to solve for the last side.

Pythagorean theorem- a^2+b^2=c^2

a and b =sides

c=hypotenuse

Since you are finding the hypotenuse(c), you don't have to rearrange the formula

plug in a and b.

10^2+24^2=c^2

solve

100+576=c^2

676=c^2

do the square root of 676 to get rid of the c^2

26=c

A  total of 750 people visited the natural history museum on Friday night.

The total number of people who visited the natural history museum on Friday night can be calculated by dividing the number of people who saw the dinosaur exhibit (165) by the percentage of visitors who saw the exhibit (22%).

To do this, we can use the following formula:

Total number of visitors = Number of visitors who saw the exhibit ÷ Percentage of visitors who saw the exhibit

Substituting the given values, we get:

Total number of visitors = 165 ÷ 0.22 = 750

Therefore, a total of 750 people visited the natural history museum on Friday night.

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Answer: yes

Step-by-step explanation:

Answer:

yes,no,no,yes

Step-by-step explanation:

Answer:

x≈0.61033842,1.20140529

Step-by-step explanation:

easy peeze lemon sqeazy

Answer:

2.25

Step-by-step explanation:

hope this helps :)....

Answer: They are similar and congruent.

Step-by-step explanation:

The are the same shape and size, just fliped diagonally.

Answer:

B.

Step-by-step explanation:

Answer:

Z' = (6, 3 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

Z (3, 6 ) → Z' (6, 3 )

Answer:

40x²+2x-21

Step-by-step explanation:

4x × 10x - 4x × 7 + 3×10x - 3 × 7

40x² - 28x + 30x - 21

40x²+2x-21

Answer:

40x^2+2x-21

Step-by-step explanation:

(4x + 3) (10x - 7)

Foil

first 4x*10x = 40x^2

outer  4x*-7 = -28x

inner 3*10x = 30x

last 3 *-7 = -21

Add them together

40x^2 -28x+30x-21

Combine like terms

40x^2+2x-21

The number of 5-element subsets of s = {1, 2, 3, 4, 5, 6, 7, 8, 9} with more odd numbers than even numbers is 126.

To determine this, we will find the subsets that have either 3 or 5 odd numbers. First, consider the subsets with 3 odd numbers and 2 even numbers.

There are 5 odd numbers (1, 3, 5, 7, 9) and 4 even numbers (2, 4, 6, 8) in the set. So, we need to choose 3 odd numbers out of 5 and 2 even numbers out of 4. Using the combination formula, we get C(5, 3) * C(4, 2) = 10 * 6 = 60.

Next, consider the subsets with 5 odd numbers and 0 even numbers. In this case, we need to choose all 5 odd numbers and no even numbers. Using the combination formula, we get C(5, 5) * C(4, 0) = 1 * 1 = 1.

Finally, add the results from the two cases to get the total number of subsets: 60 + 1 = 126.

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Answer:

Proteins

Step-by-step explanation:

I took the test and I got it right.

Answer:

proteins

Step-by-step explanation:

Answer:

the equation=y

Step-by-step explanation:

Answer

(-4,3)

Step-by-step explanation:

After converting yards to miles:

2640 yards =  1.5 miles

Given,

2640 yards= ________ miles

Now,

To convert to yard to miles the conversion factor is 0.000568182.

So,

1 yard ⇒ 0.000568182 miles

Multiply 2640 on both sides,

2640 yards ⇒ 1.5 miles.

Therefore 2640 yards is equivalent to 1.5 miles.

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ANSWER

EXPLANATION

To reflect the triangle over the x-axis, the x-coordinates of the vertices remain the same, and the y-coordinates change to their opposites. Thus, to draw the image, we have to draw auxiliary vertical lines across each vertex of triangle LMN and graph the image of each vertex at the same distance from the x-axis on the opposite side,

Answer:

16

Step-by-step explanation:

just use a mean absolute deviation calculator next time

Given:

The area of the squares are given.

To find:

The exact side length or estimate side length of the square.

Solution:

We know that, the area of a square is

\(A=a^2\)

Where, a is the side length of the square.

\(a=\sqrt{A}\)

Area of the square is 100 square units. So, the side length is:

\(a=\sqrt{100}\)

\(a=10\)

Therefore, the side length is 10 units.

Area of the square is 95 square units. So, the side length is:

\(a=\sqrt{95}\)

It is not exact. We know that \(\sqrt{81}<\sqrt{95}<\sqrt{100}\).

Therefore, the side length is between 9 and 10.

Area of the square is 36 square units. So, the side length is:

\(a=\sqrt{36}\)

\(a=6\)

Therefore, the side length is 6 units.

Area of the square is 30 square units. So, the side length is:

\(a=\sqrt{30}\)

It is not exact. We know that \(\sqrt{25}<\sqrt{30}<\sqrt{36}\).

Therefore, the side length is between 5 and 6.

Answer:

Step-by-step explanation:

The order of a succession is a way that the terms (the first, the second, the third, etc.) can be distinguished according to a certain formation law or order criterion.

Example:

a¹/a²/a³/a⁴ And successively

In the order of a sequence you can assign any letter.

Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:120

Step-by-step explanation:

given x= 3 and y= 8,

we have to find the value of 5xy

so let us put the values of x and y in the given expression i.e 5xy.2

= 5×3×8

= 120

 Hence the value of 5 xy is 120.

Answer:

Step-by-step explanation:

If x = 3 and y = 8, then the value of 5xy is simply 5 times the product of x and y.

To find the product of x and y, we simply multiply x and y together:

xy = 3 * 8 = 24

To find the value of 5xy, we simply multiply 5 by the value of xy:

5xy = 5 * 24 = 120

So the value of 5xy when x = 3 and y = 8 is 120

The matrix of T in the given basis is: | 6 7 | | -3.5 -4 |

To find the matrix of the linear operator T in the given basis {(1,1)^T, (1,2)^T}, we need to apply T to each basis vector and express the result as a linear combination of the basis vectors.

1. Apply T to (1,1)^T:

T(1,1) = (3(1) + 1, 1 - 2(1)) = (4, -1)

Now express (4, -1) as a linear combination of the basis vectors:

a(1,1) + b(1,2) = (4, -1)

Solving for a and b, we get a = 6 and b = -3.5. 2.

Apply T to (1,2)^T: T(1,2) = (3(1) + 2, 1 - 2(2)) = (5, -3)

Now express (5, -3) as a linear combination of the basis vectors: c(1,1) + d(1,2) = (5, -3)

Solving for c and d, we get c = 7 and d = -4.

So, the matrix of T in the given basis is: | 6 7 | | -3.5 -4 |

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Answer:

x = 35

exterior angle measure = 82°

Step-by-step explanation:

The angles denoted by (2x + 12) and (3x - 7) are a linear pair of angles formed at the vertex created by extending one side of the quadrilateral

Therefore they are supplementary angles whose sum = 180°

Therefore
2x + 12 + 3x - 7 = 180
2x + 3x + 12 - 7 = 180
5x + 5 = 180

Dividing by 5:

5x/5 + 5/5 = 180/5
x + 1 = 36

x = 36 - 1 = 35

The exterior angle is the one which has the expression 2x + 12

Plug in x = 35 to get
exterior angle measure = 2(35) + 12 = 70 + 12 = 82°