What are the zeros of the function?

The number of people in the US who do not have blue eyes is 214.5 million.

The given question has been solved using Probability. It is given that the number of people in the US is 330 million

for the time being, we let P=330 which represents the population of the US

also, it is given that the number of people having blue eyes is 0.35 times the Population

So, Pb= 0.35 × P

here, Pb represents the number of people having blue eyes

So the number of people that do not have blue eyes must be the number of people having blue eyes subtracted from those having blue eyes

i.e, Pnb=P-Pb

=P-(P × 0.35)

=P(1-0.35)

=330 (0.65 )

=214.5

Thereby, the number of people that do not have blue eyes is 214.5 million.

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Relative frequency for the class with lower class limit 27 is 20.0%.

To find the relative frequency for the class with lower class limit 27, we must first find the total frequency of the data set. The total frequency is 28 (2+7+5+5+6+3=28). Since the class with lower class limit 27 has a frequency of 5, we can calculate the relative frequency of this class by dividing the frequency of the class by the total frequency.

Formula:

Relative Frequency = (Number of Students in the Class)/(Total Number of Students in the Group) x 100

Relative Frequency = (5)/(28) x 100

Relative Frequency = 0.1786 x 100

Relative Frequency = 17.86%

Rounded to one decimal place, Relative Frequency = 20.0%.

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Answer:

NOLO

Step-by-step explanation:

Answer: [tex]\sqrt[5]{3}-1[/tex]

Step-by-step explanation:

Let the annual rate of increase be [tex]r[/tex].

[tex]3000=1000(1+r)^5\\\\3=(1+r)^5\\\\\sqrt[5]{3}=1+r\\\\r=\sqrt[5]{3}-1[/tex]

The best approximation of the solution to the system to the nearest integer values X minus Y equals negative 65X plus 3Y equals 24 are x = 43 and y = 22

From the information given, we have the expressions;

This is represented as;

x - y = -65

x + 3y = 24

Make 'x' the subject from equation 1

x = -65 + y

Now, substitute the expression into equation (2), we get;

-65 + y + 3y = 24

collect the like terms

4y = 24 + 65

Add the like terms

4y = 89

Divide the values by the coefficient of y

y = 89/4 = 22

Substitute the value in eqation3

x = -65 + 22

Add the values

x = 43

Hence, the values are 43 and 22

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Answer:

28 cups

Step-by-step explanation:

[tex]\frac{2}{1}[/tex] = [tex]\frac{x}{14}[/tex]

1 x 14 = 14, so 2 x 14 = 28

The probability that the flight would be delayed when it is not raining is 12.46%.

Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event. Probability measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.

To determine what is the probability that the flight would be delayed when it is not raining, the following calculation must be performed:

Probability that it will not rain = 1 - probability that it will rain

X = 1 - 0.11

X = 0.89

Probability that the flight would be delayed when it is not raining = probability that it is not raining x probability that the flight will be delayed

X = 0.89 x 0.14

X = 0.1246

0.1246 x 100 = 12.46

Therefore, the probability that the flight would be delayed when it is not raining is 12.46%.

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Answer:

-7

Step-by-step explanation:

(fog)(-3) = f(g(-3)) = f (2(- 3) - 4) = f(-10) = -10 + 3 = -7

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On solving the provided question, we can say that the sample size would have to be multiple by 4  = 4048

The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number. The sample size influences two statistical characteristics: 1) The precision of our estimates; 2) The ability of research to produce inferences. The results of random tests are the samples. When sampling a random variable, a particular value is chosen from a range of potential values. A sample is this specific value. The random variable's probability distribution determines the possible values and their probabilities.

the sample size would have to be multiple by 4

n = 1012

n X 4

= 1012 X 4

= 4048

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Characteristic of binomial distribution Mean should be n *p n is the number of trials p is the successful outcome of the process

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On solving the provided question, we can say that  D, diameter pizza will produce the largest slice is 16

Any straight line segment with an endpoint on the circle and that travels through its center is considered a circle's diameter in geometry. The longest chord of a circle is another way to describe it.

Let r be the radius and  be the angle of a circle.

According with the graph, the area of the sector is given by

A = 1/2r^2∅

The arc length of a circle with radius r  and angle∅   is r∅

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches.

Thus the perimeter has length

2r + r∅ = 32 in

r∅ = 32 - 2r

∅ = 32- 2r / r

Now,

A = 1/2r^2[32- 2r / r]

A = 16r - r^2

A' = 16 - 2r 16 -2r = 0

r = 8

A" = -2

so, D, diameter pizza will produce the largest slice is 16

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40m  is the sound concentrated after reflection from the back wall of the niche.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                           Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

with radius 2.60m , the cylindrical wall is a highly efficient mirror  for sound , with focal length

     f = R/2 = 2.60/2 = 1.30

in  a vertical plane the sound disperses as usual butthat radiated in a horizontal plane is concentrated in a soundimage at a distance q from the back of niche ,

so 1/p+1/q = 1/f

 so 1/1.70 +1/q = 1/1.3

  1/q = 1/1.3 - 1/1.70

 q = 40m

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The remainder when N is divided by 1000 is 106.

The Principle of Inclusion-Exclusion, often known as PIE, offers a method/formula for organizing information about the size of each set, the number of elements in the union of a given set of sets, and the size of all potential set intersections.

From the question,

First, we think about all the possible divisions of the 7×1 board. Since we require at least one tile of each color, we exclude the cases of just one or two pieces.

Three pieces = 5+1+1 , 4+2+1 , 4+1+2 etc (6C2) = 15 ways

Four pieces = 6C3 = 20

Five pieces = 6C4 = 15

Six pieces = 6C5 = 6

Seven pieces =6C6 = 1

Now, we apply the Principle of Inclusion-Exclusion to consider how many ways to color them:

Three pieces : 3³ - 3 × 2³ + 3 = 6

Four pieces: 3⁴ - 3 × 2⁴ + 3 = 36

Five  pieces : 3⁵ - 3 × 2⁵ + 3 = 150

Six pieces : 3⁶ - 3 × 2⁶ + 3 = 540

Seven pieces : 3⁷ - 3 × 2⁷ + 3 = 1806

Adding them together, we get

15×6 + 20×36 + 15×150 + 6×540 + 1×1806 = 8106

Hence, the remainder when it is divided by 1000 is 106.

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Answer:

106

Step-by-step explanation:

Answer:

36 hours

Step-by-step explanation:

3 x 12 = 36

Answer:

36 hours

Step-by-step explanation:

if it took 3 people to paint a room in 12 hours, we have,

3 people = 12 hours

divide by 3.      multiply by 3

1 person = 36 hours.

Answer:

1.2

Step-by-step explanation:

[tex]\frac{v}{5}[/tex] = [tex]\frac{3}{13}[/tex]  Cross multiply and solve for v

13v = 15  Divide both sides by 13

[tex]\frac{13v}{13}[/tex] = [tex]\frac{15}{13}[/tex]

v = 1.2 rounded to the nearest tenth

Why  this works

[tex]\frac{v}{5}[/tex] = [tex]\frac{3}{13}[/tex]  we can clear the fraction by multiplying both sides of the equal sign by (5·13)

[tex]\frac{(5x13)}{1}[/tex] · [tex]\frac{v}{5}[/tex] = [tex]\frac{(5x13)}{1}[/tex] ·[tex]\frac{3}{13}[/tex]  On the left of the equal sign the 5's cancel out and the on the right of the equal sign the 13's cancel out.

13v = 5(3)

13v = 15

Answer:

7) y = [tex]\frac{2}{3}[/tex]x + 13

8) y = 8x - 20

Step-by-step explanation:

Question 7

y - 9 = [tex]\frac{2}{3}[/tex](x + 6)

Step 1: Distribute [tex]\frac{2}{3}[/tex] to (x + 6); y - 9 = [tex]\frac{2}{3}[/tex]x + 4

Step 2: Add 9 to both sides; y = [tex]\frac{2}{3}[/tex]x + 13

Question 8

y + 4 = 8(x - 2)

Step 1: Distribute 8 to (x - 2); y + 4 = 8x - 16

Step 2: Subtract 4 from both sides; y = 8x - 20

Answer:

7

Step-by-step explanation:

Let the common difference of the two APs be" D"

Let 1st term of 1st AP be A₁ i.e = -1

And the first term of the second AP b₁ i.e = -8

We know that the nth term of an AP is;

an = a+(n-1)d

4th term of first AP,

a₁ + (4-1)d = − 1 + 3d.           --Eqn. 1

And 4th term of the second AP,

b₁ + (4-1) d=-8+ 3d                -- Eqn 2

Now, the difference between their 4th terms is i.e.

= (- 1+ 3d ) - (-8 + 3d )

= -1 + 3d + 8 - 3d = 7

So, the answer is 7.

Hope it helps.

If you have any query, feel free to ask.

Answer:

1) Nikhil 16 years & Mae 4 years

Step-by-step explanation:

x = 4y {equation 1}

Hence, x - 4y = 0 { equation 2}

x = 8 + 2y {equation 3}

Then, x - 2y = 8 { equation 4}

{equation 4-2}

x -x -2y - ( - 4y) = 8 -0

-2y +4y = 8

2y = 8

2 2

y = 4

By substituting { equation 1}

x = 4y

x = 4 × 4

= 16//

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The area of a rectangle is increasing at a constant rate of 3.5 cm²/s when the length is increasing at a constant rate of 3 cm/s and the width is increasing at a constant rate of 0.5 cm/s.

The area of a rectangle is calculated as length multiplied by width (A = L x W). At the given time, the length is 5 cm and the width is 1.2 cm, so the area is 6 cm². When the length is increasing at a constant rate of 3 cm/s, and the width is increasing at a constant rate of 0.5 cm/s, then the area is increasing at a rate of 3.5 cm²/s. This can be calculated by multiplying the constant rate of increase of the length and width together (3 x 0.5 = 1.5). This is the rate of increase of the area and is expressed as 3.5 cm²/s This can be calculated by multiplying the constant rate of increase of the length and width together (3 x 0.5 = 1.5).

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Answer:

60°

Step-by-step explanation:

To find the angle of the terminal side through a point P on the unit circle, we can use the coordinates of the point. The angle is given by the inverse tangent (atan) of the y-coordinate divided by the x-coordinate.

The point P is given as (√15/5, √10/5)

Using the arctan function we have:

theta = arctan(√10/5/√15/5) = arctan(√2/√3)=atan(√2/√3) = pi/3

The angle theta is in radians, to convert it to degree we multiply it by 180/pi

Theta = (pi/3) * (180/pi) = 60. Therefore, the angle of the terminal side through the point P is 60°.

Step-by-step explanation:

The area of a circle is radius²· π​

12x12=144

So the answer is 144π​.

Answer:

37.71428571425567788

Answer: Midpoint

Step-by-step explanation:

Answer: [tex]y=3[/tex]

Step-by-step explanation:

The intersection point of the graphs is the solution. So, you need to find the [tex]y[/tex]-coordinate of the intersection point.

Answer: A. p + 3 = 49

B. p = 46

Step-by-step explanation:

A. represents the equation that represents the word problem. In this case, the original number of paintbrushes Kaitlyn had is represented by (p) and Claire gives her 3 more paintbrushes, the total number of paintbrushes she has is 49.

B. represents the original number of paintbrushes Kaitlyn had. To find this, we can simply solve the equation from part A for (p) by isolating it on one side of the equation.

Therefore, Kaitlyn originally had 46 paintbrushes.

The two consecutive integers that the square root of 12 lies between are 3 and 4.

Positive, negative, and zero are all examples of integers. The Latin word "integer" signifies "whole" or "intact." All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. This therefore means that integers can only be whole numbers and consecutive integers follow each other. For instance, 1, 2, and 3 are consecutive integers.

To find the two consecutive integers that the square root of 12 lies between, find the square root of 12 :

= √ 12

= 3.46

This means that the lower integer would be 3 and the consecutive integer following would be 4.

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The diver is closer to sea level since their distance to sea level (7 ft) is less than the distance of the tour guide to sea level (23 ft).

As we know,

|Tour guide - sea level| < |One diver - sea level|

The distance between the tour guide and sea level is 5 - (-18) = 23 feet.

The distance between one diver and sea level is -11 - (-18) = 7 feet.

Since the absolute value of the difference between the tour guide and the sea level is greater than the absolute value of the difference between one diver and the sea level, we can conclude that the diver is closer to the sea level.

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865.96  is the rate of change of the volume. This can be solved using the concept of rate of change of the volume.

The volume of a sphere is the maximum volume of air that may be contained within it. Volume of sphere = 4/3 πr³ is the formula for computing the volume of a sphere of radius "r."

As we know,

volume (V) = 4/3 πr³

Given that,

volume of the sphere is 163 cubic feet

the radius of a sphere is decreasing at a constant rate of 6 feet per second (dr/dt) = 6

So, 163 = 4/3 × 22/7 r³

or, r³ = (3423/88)

or, r = [tex][\frac{3423}{88}]^{1/3}[/tex]

again, dv/dt = 4/3 × π × 3 r² × dr/dt

or, dv/dt = 4 × π × r² × dr/dt

or, dv/dt = 4 × 22/7 ×[tex][\frac{3423}{88}]^{2/3}[/tex] × 6

or, dv/dt = 75.43 × [tex][\frac{3423}{88}]^{2/3}[/tex]

or, dv/dt = 865.96

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The length of the section of roadworks was 121 km.

What is the concept of time and distance?

Time is directly proportional to distance. It means that speed remains constant, if we have two vehicles moving two distances for two different time duration then the time is directly proportional to the distance. Speed is directly proportional to distance.

1) Total time = 1 hr 55 minutes

2) Distance = 121 km

To calculate Matthew's journey we have to use the formula of :

Time  = distance /speed

Are doing the calculations for each Stage, like this:

Stage A, we know that:

Distance: 20 km

speed: 30 km/h

Time = 20/30

T = 2/3h

Time = 40 minutes

Stage B, we know that:  

Distance: 50 km

speed: 100 km/h

Time = 50/100

T = 0.5 h

Time = 30 minutes

Stage C, we know that:  

Distance: 30 km

speed: 40 km/h

Time = 30/40

T = 3/4 h

Time = 45 minutes

1) So using all the values ​​calculated above, let's calculate the total value of the trip that will take place by:

Total = (40 + 30 + 45)minutes

Total  = 115 minutes

Total  = 1 hour 55 minutes

2) For the second part of this question we want to calculate the total distance of travel hours so:  

Speed: 60 km/h

Time: 6 minutes + x

x =1 hr 55 minute + 6 minutes 2 hr 1 minute

Time = 2.01666667

Distance = speed * time

Distance = 60 * 2.01666667

Distance  = 121 km

hence, the length of the section of roadworks was 121 km.

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