which is an example of weather?responsesthe temperature and wind speed in philadelphia todaythe temperature and wind speed in philadelphia todaythe increase in temperature over north america over the past decadethe increase in temperature over north america over the past decadethe average rainfall in arizona over the previous three monthsthe average rainfall in arizona over the previous three monthsthe time for high tide in daytona beach todaythe time for high tide in daytona beach today

For the given table of different eyed colour people , the probability that a person chosen at random from this group has brown or green eyes is 0.6036..

We have given a table lists eye colour for a random sample of people as seen above.

Total number of people or possible outcomes

= 222

Total number of people have blue eye colour

= 38

Total number of people have green eye colour

= 13

total number of people have Amber eye colour

= 22

Total number of people have Hazel eye colour

= 28

Total number of people have Brown eye colour

= 121

A person chosen at random from this group.

Probability that the selected person has brown eye Colour , P(B)

= total brown eyed persons /total persons

=> P(B) = 121/222

Probability that the selected person has gren eye Colour , P(G) = total green eyed person/total persons

=> P(G) = 13/222

Now, probability that a person chosen at random from this group has brown or green eyes ,

P(G or B ) = P(G) + P(B)

= 13/222 + 121/222

= 134/222 = 0.6036

Hence, the required probability is 0.6036..

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Complete question:

The above-mentioned table lists the eye colors of a random sample of people. If a person is chosen at random, What is the probability that a person chosen at random from this group has brown or green eyes?

The number of hours that the cost will be the same is 4 hours.

From the information illustrated, Gabriella is deciding between two landscaping companies for her place of business.

Company A charges $30 per hour and a $225 equipment fee. Thus will be:

225 + 40h

Company B charges $55 per hour and a $125 equipment fee. This will be:

125 + 55h.

h = number of hours

Collate the equations

225 + 30h = 125 + 55h

Collect like terms

55h - 30h = 225 - 125

25h = 100

Divide

h = 100 / 25

h = 4

The number of hours is 4 hours

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Multiplying 3/8 by the whole part and the fractional part is 21/32.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the whole and fractional part can be 1 3/4.

Therefore, the multiplication by 3/8 will be:

= 3/8 × 1 3/4.

= 3/8 × 7/4

= 21 / 32.

The fraction is 21/32.

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Complete question

Multiply 3/8 by 1 3/4 which depicts the whole part and the fractional part.

Answer:

The measure of the first side of the triangle is 10 inches. This can be determined by using the given information to set up and solve a system of equations. We are given that the first side is twice as long as the second side, and that the third side is 12 inches long. Let's call the length of the first side x and the length of the second side y. We can then set up the following system of equations:

x = 2y

12 = x + y

We can then solve this system of equations by substituting the first equation into the second equation, which gives us:

12 = 2y + y

We can then solve for y by subtracting 2y from both sides of the equation and dividing both sides by 2, which gives us:

y = 4

We can then substitute this value of y back into the first equation to solve for x, which gives us:

x = 2 * 4

x = 8

Therefore, the measure of the first side of the triangle is 10 inches. This can be verified by calculating the perimeter of the triangle, which should be equal to 36 inches. When we do this, we get:

x + y + 12 = 10 + 4 + 12 = 36

Which confirms that the measure of the first side of the triangle is 10 inches.

Step-by-step explanation:

Answer:

The answer should be D.8

When we dilate the area , it is multiplied by the square of dilation factor .

In the question ,

it is given that ,

the area of the figure ,

we have to explain what will happen to the area when we dilate the figure .

let the figure be a square ;

let the unit square's length be x ,

and let the dilation factor be "k" ;and

So ,the comparison square's length be kx .

the area of the original square is = x² and

the area of the new square is = (kx)²

So , the ratio of the areas will be = (kx)²/x²

simplifying further ,

we get ,

= k² .

Therefore , the area gets multiplied by k² .

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By using the concept of depreciation, it can be concluded that-

The function that could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes is an exponential function.

What is growth?

Growth is the exponential increase in the value of an asset or article or population at a certain rate over a certain period of time

EPA calculated that the air pollution should decrease by approximately 8% each year

The function that could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes is an exponential function.

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Complete Question

One function of the Environmental Protection Agency (EPA) is to reduce air pollution. After implementing several pollution reduction programs in a certain city, EPA calculated that the air pollution should decrease by approximately 8% each year. What kind of function could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes?

Answer:

A linear function can be represented by a graph that is a straight line. The equation for a linear function is of the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis). The slope of the line tells us how steep the line is, and whether it has a positive or negative slope. A positive slope means that the line is sloping upwards from left to right, while a negative slope means that the line is sloping downwards from left to right.

Answer:

Step-by-step explanation:

A = 45 degrees

B = 225 degrees

sin(225) = -√2/2

sin(45) = √2/2

-sin(45) = -√2/2

cos(225) = -√2/2

cos(45) = √2/2

-cos(45) = -√2/2

The balance of Marissa’s retirement account after 15 years if She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years is $8500.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given data:

Initial deposit = $1000

Her contributions are $500 a month for the next 15 years

Amount after 15 years = Initial deposit  + 15 × 500

Amount after 15 years = $1000 + 7500

Amount after 15 years = $8500

Therefore, the balance of Marissa’s retirement account after 15 years if She makes an initial deposit of $1,000. Her contributions are $500 a month for the next 15 years is $8500.

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The area of the triangle will increase at a rate of 3.81 m² per second

Given,

The length of the sides of the triangle are base, 12 m and hypotenuse 15 m

Area of the triangle = 1/2 bh

We have to find h;

That is,

Sin ∅ = opposite side /hypotenuse = h/15

h = 15Sin ∅

d∅/dt = 0.06rad/s

Now,

A = bh/2 = 12 × 15sin∅/2

A = 90sin∅,

By differentiating this equation with respect to A, we have

d(A)/dt = 90cos∅d∅/dt

d(A)/dt = 90cos∅(0.06)

∅ = π/4, cosπ/4 = 0.7071

90×0.7071×0.06

= 3.81m²/s

That is,

The area of the triangle will increase at a rate of 3.81 m² per second

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1. The fraction of full-time employees who work in the bank is 16/31.

2. The fraction of pieces that David need to fix to complete the puzzle is 9/27

3. The fraction of girls that wore red outfits is 1/2.

4. The fraction of books on the shelf that are in Spanish is 2/7.

1. Alocal community bank has 31 employees on it’s rolls. 15 employees work part-time at the bank. The fraction of full-time employees will be:

= (31 - 15) / 31

= 16/31

2. David was gifted a 28 piece puzzle by his aunt. He has fixed 19 pieces of the puzzle. The fraction of pieces that David need to fix will be:

= (28 - 19)/28

= 9/28

3. 20 girls were dressed in green outfits and 10 girls donned red outfits at a dance recital. The fraction of girls that wore red outfits will be:

= 10/20

= 1/2

4. A section of Tina’s bookshelf has 15 French books and 6 Spanish books. The fraction of books on the shelf that are in Spanish will be:

= Spanish books / Total books

= 6 / (15 + 6)

= 6/21

= 2/7

The above illustrate the fraction.

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Answer:

f(-2) = 11

Step-by-step explanation:

f(-2) = -3 ( -2 ) + 5

f(-2) = 6 + 5

f(-2) = 11

The pole and the birdhouse both stand 18.75 feet tall.

Jack has two dogs and eight cats. Jill owns 4 dogs and 7 cats. In total, how many dogs are there? How many more cats does Jane have than I do if she has 23 and I have 2, and then Jane gives me 5 cats?

To answer a word issue with algebra:

Establish a variable.

Utilizing the variable, write an equation.

Make the equation work.

Use the variable to determine the answer if it is not the word problem's solution.

A person standing close by casts a shadow that is five feet long. The individual is 4 feet tall..

Assume that for the birdhouse and the pole are (x) ft tall.

The shadow is now 5 feet long for a person that is 4 feet tall.

Then, for one feet long person, the shadow would be (5/4) feet long.

Then, for 15 feet long -

[tex]\frac{x}{15}[/tex] = [tex]\frac{5}{4}[/tex]

x = (15 x 5)/4

x = 75/4

x = 18.75 feet tall

As a result, both the pole and the birdhouse are 18.75 feet tall.

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The polynomial function is P(x) = x⁴ - 14x³ + 59x² - 50x - 74

A polynomial is a function in which the least power of the unknown is 2.

The root of a polynomial is the value of the unknown which makes the polynomial equal zero.

Since we have that the given polynomial has roots 1 - √3 and 6 - i.

We also know that their conjugates 1 + √3 and 6 + i are also roots of the polynomial.

So, the factors of the polynomial are

So, the required polynomial is P(x) = [(x - 1) + √3][(x - 1) - √3][(x - 6) + i][(x - 6) - i]

= [(x - 1)² - (√3)²][(x - 6)² - i²]    (Since a² - b² = (a - b)(a + b))

= [(x - 1)² - 3][(x - 6)² - (- 1)]

= [(x - 1)² - 3][(x - 6)² + 1]

Expanding the brackets, we have

= [x² - 2x + 1 - 3][(x² - 12x + 36 + 1]

= [x² - 2x - 2][(x² - 12x + 37]

= x⁴ - 12x³ + 37x² - 2x³ + 24x² - 74x - 2x² + 24x - 74

Collecting like terms, we have

= x⁴ - 14x³ + 59x² - 50x - 74

So, the polynomial is P(x) = x⁴ - 14x³ + 59x² - 50x - 74

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Answer:

The answer to the problem is:

(i) The speed of the car at B is -4 ms$^{-1}$.

(ii) The distance AB is 32 meters.

(iii) The time taken for the car to travel from B to C is 10 seconds.

Step-by-step explanation:

To find the speed of the car at B, we can use the formula $v = v_0 + at$, where $v$ is the final speed, $v_0$ is the initial speed, $a$ is the acceleration, and $t$ is the time. In this case, $v_0 = 20$ ms$^{-1}$, $a = -6$ ms$^{-2}$, and $t = 4$ s. Plugging these values into the formula gives us:

$v = 20 + (-6)(4) = 20 - 24 = -4$ ms$^{-1}$

Thus, the speed of the car at B is -4 ms$^{-1}$.

To find the distance AB, we can use the formula $d = v_0t + \frac{1}{2}at^2$, where $d$ is the distance, $v_0$ is the initial speed, $a$ is the acceleration, and $t$ is the time. In this case, $v_0 = 20$ ms$^{-1}$, $a = -6$ ms$^{-2}$, and $t = 4$ s. Plugging these values into the formula gives us:

$d = (20)(4) + \frac{1}{2}(-6)(4^2) = 80 - 48 = 32$ meters

Thus, the distance AB is 32 meters.

To find the time taken for the car to travel from B to C, we can use the formula $v^2 = v_0^2 + 2ad$, where $v$ is the final speed, $v_0$ is the initial speed, $a$ is the acceleration, and $d$ is the distance. In this case, $v_0 = -4$ ms$^{-1}$, $v = 20$ ms$^{-1}$, $a = 2$ ms$^{-2}$, and $d$ is the distance from B to C. We can find this distance by using the formula for distance and setting $t = 0$, since we're looking for the time it takes the car to travel from B to C, not from A to B:

$d = (20)(0) + \frac{1}{2}(-6)(0^2) = 0 - 0 = 0$ meters

Thus, the distance from B to C is 0 meters. Plugging these values into the formula gives us:

$20^2 = (-4)^2 + 2(2)(0) = 16 + 0 = 16$

We can solve this equation for $t$ to find the time it takes the car to travel from B to C:

$t = \sqrt{\frac{v^2 - v_0^2}{2a}} = \sqrt{\frac{20^2 - (-4)^2}{2(2)}} = \sqrt{\frac{400}{4}} = \sqrt{100} = 10$ seconds

Thus, the time taken for the car to travel from B to C is 10 seconds.

The velocity-time graph for the journey from A to C would have a positive slope from A to B, a negative slope from B to C, and a positive slope from C to the end of the journey.

In a valid syllogism, the conclusion follows logically from the two premises.

A syllogism contains information that is compatible with the facts, it is said to make truthful assertions.  A syllogism can, however, be true without being valid or valid without being true. When a syllogism's conclusion flows naturally from its premises, it is considered legitimate or logical. When a syllogism contains information that is compatible with the facts, it is said to make truthful assertions.

Here is a good categorical syllogism illustration: The majority of mammals have warm-blooded systems. Minor: Black dogs are all animals. Consequently, all black dogs have heated blood.

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Answer:

D) -5

Step-by-step explanation:

-5 x -5 x -5= -125

Cube root means u multiply a number three times. Since it is negative, you’ll have to multiply with a negative number because if you multiply with a negative number 3 times youll get a negative number. A and C are a result of addition or square root.
Hope that was clear. Ask me any other questions to clarify!

Answer:

D. -5

Step-by-step explanation:

∛-125

= [tex](-125)^{\frac{1}{3} }[/tex]

= [tex]((-5)^{3} )^{\frac{1}{3} }[/tex]

[tex](a^{b} )^{c} = a^{b*c}[/tex]

= -5

Answer: c

Step-by-step explanation: 18/8=2.25

Answer:

  t = x +4.75

Step-by-step explanation:

You want the linear function rule relating t to x, given (x, t) = (4, 8.75) and (9, 13.75).

The slope of the function can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (13.75 -8.75)/(9 -4) = 5.00/5 = 1.00

The y-intercept of the function can be found from ...

  b = y -mx

  b = 8.75 -(1.00)(4) = 4.75

The slope-intercept equation is of the form ...

  y = mx +b

For m=1 and b=4.75, and using t instead of y, we have ...

  t = x +4.75 . . . . linear function rule

Answer: no

Step-by-step explanation: the slope stays the same because the image and pre- image are parallel which means their slope is equal

The required equation of the line in the slope-intercept form is given as x = -3.

Given that,
to determine the equation of the line passing through (-3,2 and perpendicular to the line y = -4,

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the given line y = -4 is,
m = 0
Slope of the required line = -1/ 0
Now,
Slope intercept form of the equation,
y - y₁ = m (x - x₁)
y - 2 = -1/0{x + 3}
x = -3

Thus, the required equation of the line in the slope-intercept form is given as x = -3.

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Answer:

2 × 2 × 3 × 5 × 5 or 2² × 3 × 5²

Step-by-step explanation:

300

= 2 × 150

= 2 × 2 × 75

= 2 × 2 × 5 × 15

= 2 × 2 × 3 × 5 × 5

= 2² × 3 × 5²

The marked price is $1518 and the rate of the discount is 8.9%.

The marked price or list price is the amount that appears on a product's label. This is the price that the product will be sold for. But this price might be discounted in some way, and the product's real selling price might be less than the advertised price. Typically, MP is used to indicate it.

This was the initial selling price, but $194 was deducted, making the final price $1394.

Use the following formula to determine percent markdown:

(Markdown amount/Selling price)×100 is the percent markdown.

To locate Markdown

Original Selling Price – Markdown Price

Connect what you have now.

Markdown=$1518-$1394

M=124

The Markdown, as we already know, is 124.

At this point, Percent Markdown equals (124/1394)×100 PM=0.088952654×100

PM=8.9 (rounded)

As a result, the growth rate is 8.9%.

And $1394+$124=$1518.

Hence, The marked price is $1518 and the rate of the discount is 8.9%.

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Answer:

w=10/9

Step-by-step explanation:

6 feet is the greatest distance apart by using the greatest common factor that Al can place the fence post.

The greatest common factor (GCF) of a set of numbers is the largest factor that all of the numbers share.

Given:

The length of the garden is 18 feet.

The width of the garden is 30 feet.

We need to find the greatest common factor between 18 and 30. These numbers can be expressed as follows (using multiplication of prime numbers).

18 = 2*3*3

30 = 2*3*5

2*3 = 6 appears in both cases and is the greatest common factor.

Therefore, 6 feet is the greatest distance apart that Al can place the fence post

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There is not sufficient evidence to conclude that some exhibits are less popular than others.

We are going to test if all the animals are equally as likely to be seen, or if some are more likely than another, hence a goodness of fit test is made, using the chi-square distribution.

The test statistic for the chi-square distribution is given as follows:

Chi-squared = sum ((O - E)²/E)

In which:

The total number of measures in this problem is given as follows:

133 + 172 + 163 + 165 + 134 + 155 + 148 = 1070.

There are seven types of animals, hence the expected value is obtained as follows:

E = 1070/7 = 152.86.

The critical value is obtained with a chi-square calculator, for a two-tailed test, with 7 - 1 = 6 df and a significance level of 0.1, hence it is of:

Chi squared = 10.64.

Hence the conclusion will be reached as follows:

The test statistic is calculated as follows:

Chi-squared = 1/152.86 x [(133 - 152.86)² + (172 - 152.86)² + (163 - 152.86)² + (165 - 152.86)² + (134 - 152.86)² + (155 - 152.86)² + (148 - 152.86)²]

Chi-squared = 9.13.

Less than the critical value, hence there is not sufficient evidence to conclude that some exhibits are less popular than others.

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Answer:

= 5√7 - 3√77: 63 or 5√7 - 3√77/63

Answer: 282

Step-by-step explanation:

The coordinates of the point dividing the join of given points will be equal to (1, 3).

If we need to find the coordinates of a point P(x, y) dividing the join of points (x₁, y₁) and (x₂, y₂) in the ratio m:n then the formula is expressed as

P(x, y) = [(mx₂ + nx₁/m + n), (my₂ + ny₁/m + n)]

We have the values as m:n = 2:3 and

(x₁, y₁) = (-1, 7) and (x₂, y₂) = (4, -3)

On using the above formula we get

P(x, y) = [2(4) + 3(-1)/2 + 3, 2(-3) + 3(7)/2 + 3]

P(x, y) = [(8 - 3)/5, (-6 + 21)/5]

P(x, y) = (1, 3) which is the required coordinate.

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Complete Question:

Find the coordinates of the point which divides the join of (-1, 7) and (4, - 3) in the ratio 2 : 3.