In 2015, about 895.5 million passengers traveled by plane in the United States. Which value is the BEST estimate of the number of passengers?
A. 9 x 10°
B. 9 x 108
C. 8 x 108
D. 8 x 10°

Answer:

It will take it 7 weeks

Step-by-step explantion

Answer:

3)

3.73 mph [miles per hour]

6 km/h [kilometers per hour]

1.67 m/s [meters per second]

4) Yes, because 1.67 m/s is faster than 1.5 m/s

*Complete Question:

A and B are two similar cylindrical containers.

Surface area of container A: surface area of container B = 4:25

Warda fills container A with oil.

She then pours all the oil into container B.

Warda repeats this and stops when container B is full of oil.

Work out the number of times that Warda fills container A with oil.

Answer/Step-by-step explanation:

We are given that the ratio of surface area of cylinder A to cylinder B = 4:25

To find out the number of times Warda fills cylinder A with oil, we need to find the ratio of the volume of cylinder A to cylinder B.

✔️First, find the linear measurement using the ratio of their surface area by taking their square root:

4:25 = √4/√25 = 2/5

Linear measurement of A to B = 2:5

The ratio of their volume = the cube of the ratio of their linear measurement

Thus, the ratio of the volume of A to B = 2³:5³ = 8:125

For Cylinder B to be filled, it would require 125/8 = 15.625 of cylinder A filled with oil. That means Warda would have to fill Cylinder A with oil for approximately 15 times, then an extra fraction of cylinder A to completely fill cylinder B with oil.

Answer:Peanut oil freezes at a higher temperature because 3.1°C > -20°C

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

\((4,8)\)

Step-by-step explanation:

\(y=x^2-8x+24 \\ \\ y=(x^2-8x+16)+24-16 \\ \\ y=(x-4)^2+8\)

So, the vertex is \((4,8)\).

The list of minerals that is grouped based on color is B. chalcopyrite, pyrrhotite, and pyrite.

Chalcopyrite is a mineral that has a high concentration of copper ore. As a result, it has a golden yellow color due to the copper in it. It also has crystals of a tetragonal form.

Pyrrhotite is a mineral with iron in it. It has the color of bronze yellow which means that it is similar in color to Chalcopyrite. We also have Pyrite which is brass yellow in color and looks golden. This puts it in the same color group as Chalcopyrite.

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The number will be 6,125.Given, we need to form a four-digit number using the digits 1, 2, 3, and 4. The number should satisfy the following conditions:The thousands digit is three times the tens digit.The hundreds digit is one more than the units digit.The sum of all four digits is 10.

To find: The four-digit number

Solution:Let us assume the digit in the unit place to be x.∴ The digit in the hundredth place will be x + 1∴ The digit in the tenth place will be a.

Let the digit in the thousandth place be 3a∴ According to the given conditions a + 3a + (x + 1) + x = 10⇒ 4a + 2x + 1 = 10⇒ 4a + 2x = 9……(1)

Now, the value of a can be 1, 2, or 3 because 4 can’t be the thousandth place digit as it will make the number more than 4000.Using equation (1),Let a = 1⇒ 4 × 1 + 2x = 9⇒ 2x = 5, which is not possible∴ a ≠ 1

Similarly,Let a = 3⇒ 4 × 3 + 2x = 9⇒ 2x = −3, which is not possible∴ a ≠ 3

Let a = 2⇒ 4 × 2 + 2x = 9⇒ 2x = 1⇒ x = 1/2Hence, the number will be 6,125. Answer: The four-digit number will be 6,125.

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The option that is not characteristic of the t-test is "The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1". The correct answer is option A.

The t-test is a statistical test that uses the Student t-distribution. The Student t-distribution has a mean of 0, but its standard deviation is not equal to 1. The standard deviation of the t-distribution varies depending on the degrees of freedom, which is determined by the sample size. Therefore, the statement in option A is not true. The correct answer is option A.

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so we know that the factors of (x-6) and (x+2) will yield a remainder of -14, thus by the remainder theorem we can say that the values of x = 6 and x = -2 will yield -14, that is for our function f(6) = f(-2) = -14, so let's plug those two values and see what we get for our "k" and "f"

\(\boxed{x=6}\hspace{5em}f(6)=-x^3+fx^2+kx-62\\\\\\ -14=-(6)^3+f(6)^2+k(6)-62\implies -14=36f+6k-278 \\\\\\ 264=36f+6k\implies 264=6(6f+k)\implies \cfrac{264}{6}=6f+k \\\\\\ 44=6f+k\implies 44-6f=k \\\\[-0.35em] ~\dotfill\\\\ \boxed{x=-2}\hspace{5em} f(-2)=-x^3+fx^2+kx-62\\\\\\ -14=-(-2)^3+f(2)^2-k(2)-62\implies -14=8+4f-2k-62 \\\\\\ -14=4f-2k-54\implies 40=4f-2k\implies 40=2(2f-k)\)

\(\cfrac{40}{2}=2f-k \implies 20=2f-k\implies \stackrel{\textit{substituting from the equation above}}{20=2f-(44-6f)} \\\\\\ 20=2f-44+6f\implies 64=2f+6f\implies 64=8f\implies \cfrac{64}{8}=f \\\\\\ \boxed{8=f}\hspace{5em}\stackrel{\textit{since we know that}}{44-6f=k}\implies 44-6(8)=k\implies \boxed{-4=k}\)

Total longer distance is \(3\frac{2}{21} miles\), that kiki run during the second week of track practice than the first week of track practice.

We have, a runner Kiki and she runs on track for practice. In first week,

Distance runs by Kiki on track practic = \(4 \frac{3}{7} miles\)

which is a mixed fraction so, simplify it into simple fraction that is 25/7 miles. In second week,

Distance runs by Kiki on track practice = \(6 \frac{2}{3} miles\)

After simplification, it is equals to 20/3 miles. We have to calculate the longer distance that kiki run during the second week of track practice than the first week of track practice. Let the distance run during second week be longer by 'x miles' from distance run during first week. The required distance can be calculated by difference between the distance that kiki run during the second week of track practice and the first week of track practice. So, \(x = \frac{20}{3} - \frac{25}{7 }\).

taking least common multiple of (3,7)= 21

=> \( x = \frac{20× 7 - 3× 25}{21} \)

\( =>x = \frac{ 140 - 75}{21} = \frac{65}{21 }\).

Hence, required distance value is

\(3\frac{2}{21} \).

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Answer:

the answer is 30% of the workers have output more than 70 units.

Step-by-step explanation:

Answer: I believe the answer is 25%.

Answer:

FDG=NMP

Step-by-step explanation:

You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture

The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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Given the rate of change, the differential equation is dy/dx = k × y²

The given statement is "The rate of change of y with respect to x is proportional to y²".

To write a differential equation for the given statement, we use the formula,

"rate of change = constant of proportionality × y²".

The differential equation is: dy/dx = k × y²

where k is the constant of proportionality.

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The value of x from the circle is x = 10

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the first chord of the circle be AC

Let the second chord of the circle be BD

Now , E is the intersection of the chords and the products of the measures of the segments of the chords are equal

So , AE x EC = BE x ED

Let the length of the chord AC = 25 x 4

Let the length of the chord BD = x²

Now , x² = 100

Taking square roots on both sides of the equation , we get

x = 10

Hence , the measure of chord of the circle x = 10

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Answer:

slope is 1

Step-by-step explanation:

Hello,

Formula for the area of a square :

side * side

side length of square ABCD : 10 m

Area of square ABCD : 10 * 10 = 100 m²

:-)

Answer:

11:55 is closest time time to mid night

Option D is correct, 12:03AM is the closet time to midnight.

Midnight is typically defined as the beginning of a new day, precisely at 12:00 AM.

In a 12-hour clock format, AM (ante meridiem) is used to represent the time before noon (from midnight to 11:59 AM), while PM (post meridiem) is used to represent the time after noon (from 12:00 PM to 11:59 PM).

12.06am is 6 minutes past midnight.

11.50am is 10 minutes from midday, or, if you prefer, 11 hours and 55 minutes past midnight.

12.03am is 3 minutes past midnight.

Hence,  the closet time to midnight is 12:03 AM.

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Answer:

X = All Real Numbers

Step-by-step explanation:

Distribute: (6)(x) + (6)(−6) + x = (7)(x) + (7)(−7) +13

Multiply: 6x + −36 + x = 7x + −49 + 13

Combine like terms: (6x + x ) + (−36) = (7x) + (−49 + 13)

Simplify: 7x + −36 = 7x + −36

7x − 36 = 7x −36

Subtract 7 from both sides: -36 = -36

Add 36 to both sides: 0 = 0

Answer:

Step-by-step explanation:

Rewrite the equation in the form y=mx+b, where m is the slope.

2x+3y = 12

3y = -2x+12

y= -(2/3)x+4

A perpendicular line witll have a slope that is the negative inverse of the reference line.  The negative inverse of -(2/3) is (3/2),

The perpendicular line will have the form y = (3/2)x + b

Find b by using the given point, (2,6)

y = (3/2)x + b

6 = (3/2)*2 + b

6 = 3 + b

b = 3

The equation of the line that is perpendicular to the line 2x+3y=12 and that's also passes through the point (2,6)​ is y = (3/2)x + 3.

Answer:

The answer for your question is "False"

Answer:

75%

Step-by-step explanation:

If Joyce got 15 questions out of 20 right, that would mean she got a 15/20.

To get a percent from a fraction, you divide the numerator by the denominator and multiply that by 100.

So 15 / 20 =.75

.75 x 100 = 75%

The prime factorizations of the given integers: a) 39 = 3 x 13

b) 81 =3 x 3 x 3 x 3

c) 101 = 101 (101 is a prime number)

d) 143 = 11 x 13

e) 289 = 17 x 17

f) 899 = 29 x 31

The prime factorization of an integer is the expression of that integer as the product of its prime factors.

We can find the prime factorization of an integer by dividing it by its smallest prime factor and repeating the process with the quotient until we are left with a prime number.

Here are the prime factorizations of the given integers: a) 39 = 3 x 13

b) 81 =3 x 3 x 3 x 3

c) 101 = 101 (101 is a prime number)

d) 143 = 11 x 13

e) 289 = 17 x 17

f) 899 = 29 x 31

To find the prime factorization of 39, we divide it by its smallest prime factor, which is 3.

The quotient is 13, which is also a prime number.

Therefore, the prime factorization of 39 is 3 * 13.

For 81, we divide it by its smallest prime factor, which is 3.

The quotient is 27, which is not a prime number.

We repeat the process with 27 and divide it by 3 to get a quotient of 9.

We repeat the process again with 9 and divide it by 3 to get a quotient of 3, which is a prime number. Therefore, the prime factorization of 81 is 3 x 3 x 3 x 3.

For 101, we see that it is a prime number, so its prime factorization is simply 101.

For 143, we divide it by its smallest prime factor, which is 11.

The quotient is 13, which is a prime number.

Therefore, the prime factorization of 143 is 11 * 13. For 289, we divide it by its smallest prime factor, which is 17.

The quotient is 17, which is a prime number.

Therefore, the prime factorization of 289 is 17 * 17.

For 899, we divide it by its smallest prime factor, which is 29. The quotient is 31, which is a prime number.

Therefore, the prime factorization of 899 is 29 * 31.

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Answer:

9 is answer

Step-by-step explanation:

Hehe..hope it helps

Answer:

the answer is 18000

Step-by-step explanation:

900 gallons multiply 20

so our answer is =18000

Answer:

18000

Step-by-step explanation: