_____are collected from several entities at the same point in time.
a. cross-sectional data
b. time series data
c. random data
d. categorical and quantit

Answer:

The answers are in order as is shown in the photo:

5x-2

5x+2

-5x-2

-5x+2

The correct matches are shown in the picture after simplification of every expression.

It is defined as the combination of constants and variables with mathematical operators.

We have expressions shown in the picture:

First expression:

= 12x + 8 - 7x - 10

= 5x -2

Second expression:

= 17x/3 + 17 - 2x/3 - 15

= 5x + 2

Third expression:

= 8 - 12x - 10 + 7x

= - 5x - 2

Fourth expression:

= 9 - 9x/2 -x/2 - 7

= -5x + 2

Thus, the correct matches are shown in the picture after simplification of every expression.

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Answer:

The Sandbox must be 19x19 for the area to be 361.

Step-by-step explanation:

(19x19=361)

The length of the sandbox will be 19 feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square.

Given that Mr. Drew wants to build a square sandbox with an area of 361 square feet.

The length will be calculated by using the area formula for square;

Area of square = Length x width

Then the area of the square can be written as;

Area of square = ( Length )²

361=  ( Length )²

( Length ) = √361

( Length ) = 19feet

Therefore, the length of the sandbox will be 19feet.

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Answer:

y < 160

Step-by-step explanation:

y + 20 < 180

    -20 < -20

y < 160

y is less than 160

so the answer is y < 160

happy to help!

Answer:

The central angle, θ = (θ × 2π)/360°

Step-by-step explanation:

The diagram of the circle isn't provided, hence, the numerical value of the central angle, θ, isn't known.

But I'll be providing how to generally convert angles in degrees to their radian equivalent.

First of, for this conversion, we need to know that

360° = 2π radians

Then

θ = (θ × 2π)/360°

Hope this Helps!!!

Answer:

2.5

Step-by-step explanation:

khan academy

The coordinates of B for the line segment AB where P divides it in the ratio 2: 1 is equal to (6 ,1).

Ratio that divides line segment AB is equal to,

AP : PB = 2 : 1

⇒ ( m : n ) = 2 : 1

Coordinates of point P (x ,y ) = ( 3 ,0 )

Coordinates of point A(x₁ , y₁ ) = ( -3, -2 )

Let us use the ratio of distances formula to find the coordinates of point B.

If point P divides the line segment AB in the ratio 2:1,

AP/PB = 2/1

Let the coordinates of point B be (x₂, y₂).

Use the midpoint formula to find the coordinates of the midpoint of the line segment AB.

which is also the coordinates of point P.

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

Substitute the values we have,

⇒ [ (2x₂ + (1)(-3) ) / (2 + 1) , (2y₂ + (1)(-2) ) / (2 + 1)  ] = ( 3 , 0 )

Equate the corresponding values we get,

⇒ 2x₂ -3 / 3 = 3 and 2y₂ -2 / 3 = 0

⇒x₂ = 6 and y₂ = 1

Therefore, the coordinates of point B for the line segment AB are (6 ,1).

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Answer:

$0.99 it will for 1 donut

The two values of k that satisfy the given equation are approximately 0.1449/t and 1.096/t.

We have the partial differential equation uₜ = 4uₓₓ. Substituting u(x,t) = e¯³ᵗsin(kt) into this equation, we get:

uₜ = e¯³ᵗ(k cos(kt) - 3k sin(kt))

uₓₓ = e¯³ᵗ(-k² sin(kt))

Now, we can compute uₓₓ and uₜ and substitute these expressions back into the partial differential equation:

uₜ = 4uₓₓ

e¯³ᵗ(k cos(kt) - 3k sin(kt)) = -4k²e¯³ᵗ sin(kt)

Dividing both sides by e¯³ᵗ and sin(kt), we get:

k cos(kt) - 3k sin(kt) = -4k²

Dividing both sides by k and simplifying, we get:

tan(kt) - 1 = -4k

Letting z = kt, we can write this equation as:

tan(z) = 4z + 1

We can graph y = tan(z) and y = 4z + 1 and find their intersection points to find the values of z (and therefore k) that satisfy the equation. The first intersection point is approximately z = 0.1449, which corresponds to k ≈ 0.1449/t. The second intersection point is approximately z = 1.096, which corresponds to k ≈ 1.096/t. Therefore, the two values of k that satisfy the given equation are approximately 0.1449/t and 1.096/t.

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We can simply multiply the subsequent probabilities of losing each game. = 12.9%.

According to our question-

we can simply multiply the subsequent probabilities of losing each game. So (3/5 * 3/5

* 3/5 * 3/5)

= 81/625

= .129 = 12.9%

Hence, We can simply multiply the subsequent probabilities of losing each game. = 12.9%.

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Answer:

The midpoint is (1,2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates together and divide by 2

(x1+x2)/2 = (-1+3)/2 = 2/2 =1

To find the y coordinate of the midpoint, add the y coordinates together and divide by 2

(y1+y2)/2 = (7-3)/2 = 4/2 =2

The midpoint is (1,2)

The answer is (1,2)

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

6x - 7

Step-by-step explanation:

\(\frac{1}{3}\) (12x + 6x - 21 ) ← multiply each term in the parenthesis by \(\frac{1}{3}\)

= 4x + 2x - 7 ← collect like terms

= 6x - 7

Hey there!

ORIGINAL EQUATION:

1/3(12x + 6x - 21)

COMBINE the LIKE TERMS

= 1/3(18x - 21)

DISTRIBUTE 1/3 WITHIN the PARENTHESES:

= 1/3(18x) + 1/3(-21)

SIMPLIFY:

= 6x - 7

Therefore, the answer should be:

6x - 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

to find the slope of a line that passes for two given points we can use this formula (y2-y1)/(x2-x1). x and y inidcate the coordinates of the two points.

A (-2-7)/(-4-5) = (-9)/-9 = 1 (m is positive)

B (-10-3)/(1-1)) = the denominator is equal to zero, so the division is impossibile. This mean that m is undefined and the line is parallel to y axis

Answer:

54 feet of yarn

Step-by-step explanation:

We have a conversion rate of

1 yard = 3 feet

Sarah has 4 pieces of yarn that are 6 yards each.

Hence,

1 yard = 3 feet

6 yards = x

Cross Multiply

x = 6 × 3 feet

x = 18 feet

Therefore, 4 pieces of yarn are 18 feet each

Hence, total feet of yarn above = 4 × 18 feet = 72 feet

She uses 9 pieces of yarn that are each 2 feet long.

Total feet of yarn here is:

9 × 2 feet = 18 feet of yarn

Therefore, the amount of yarn Sarah have left is calculated as:

72 feet - 18 feet

= 54 feet of yarn

The representation of D in the form D_x, D_y, where the x and y components are separated by a comma will be D[6.08,7.27]

Any vector oriented in two dimensions can be understood to have an impact in both directions. This implies that it may be divided into two halves. A component is a portion of a two-dimensional vector. The components of a vector assist to represent the vector's effect in a certain direction. The total impact of these two components is equivalent to the influence of the separate two-dimensional vectors. The two vector components can substitute the single two-dimensional vector.

Determine the x and y components for each vector A & B for vector A

Ax=sin (15) * 2=0.5176

Ay=cos (15) * 2=1.9318

for Vector B

Bx=cos (15) * 4=3.8637

By=sin (15)* 4=1.0352

The vector addition and scalar multiplication for x and y individually D=4.3 * A+B

Dx=4.3 *(sin (15) * 2)+cos (15) * 4

Dx=4.3 * 0.5176+3.8637

Dx=6.0893

Dy=4.3 *(cos (15) * 2)-sin (15) * 4

Dy=4.3 * 1.9318-1.0352

Dy=7.2715

D[6.08,7.27]

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The actual question may be:

Express D in the form D_x, D_y, where the x and y components are separated by a comma using two significant figures.

Answer:

There are 6 ways to run 10 m between two cones of the four cones giving a maximum available distance to run as 60 meters

Step-by-step explanation:

The parameters given are

Distance between two cones = 10 m

Number of cones = 4

Therefore, number of ways to choose two 10 m distances (distance between two cones) from the four cones = \(\binom{4}{2}\) = 6

Hence there are only six 10 m distances to run between two cones which gives a maximum distance available to run as 60 m.

sin A + cos A = m -- equation (1)

sec A + Cosec A = n -- equation (2).

value of  n(m+1)(m-1)

We have to find:

n(m + 1)(m - 1)

using (a + b)(a - b) = a² - b² we get,

⟹ n (m² - 1²)

⟹ m²n - n

Putting the values from equations (1) & (2) we get,

⟹ (sin A + cos A)² * (sec A + Cosec A) -

(sec A + Cosec A)

(a + b)² = a² + b² + 2ab

⟹ (sin² A + cos² A + 2sin A Cos A ) * (sec A + Cosec A) - sec A - Cosec A

using the identity sin² A + cos² A = 1 we get,

⟹ ( 1 + 2 sin A cos A ) * (sec A + Cosec A) - sec A - Cosec A

⟹ 1(sec A + Cosec A) + 2sin A cos A(sec A + Cosec A) - sec A - Cosec A

⟹ sec A + Cosec A + 2 sin A * cos A * sec A + 2 sin A cos A Cosec A - sec A - Cosec A

using sin A * Cosec A = 1 & cos A * sec A = 1 we get,

( sec A + Cosec A & - sec A - Cosec A are being cancelled )

⟹ 2 sin A + 2 cos A

⟹ 2 (sin A + cos A)

Putting the value sin A + cos A from equation (1) we get,

⟹ 2m

∴ n (m + 1)(m - 1) = 2m.

I hope it will help you.

Regards.

Step-by-step explanation:

m=sinθ+cosθ⟹m

2

=sin

2

θ+cos

2

θ+2sinθcosθ=1+2sinθcosθ

⟹sinθcosθ=

2

m

2

−1

n=secθ+cosecθ=

sinθcosθ

sinθ+cosθ

=

2

m

2

−1

m

⟹n(m

2

−1)=2m⟹n(m+1)(m−1)=2m

Journal entries for Southeastern College as a public university:

1. Donation received for capital addition:

Restricted Cash - Capital Additions Dr. $502,000

Donation Revenue Cr. $502,000

2. Contribution to the permanent endowment:

Cash Dr. $210,000

Permanently Restricted Net Assets Cr. $210,000

3. Interest and dividends received on endowment investments:

Restricted Cash - Scholarships Dr. $50,000

Investment Income Cr. $50,000

4. Increase in fair value of investments:

Investment Gain  Dr. $7,100

Unrestricted Net Assets  Cr. $7,100

To record the transactions for Southeastern College as a public university, the following journal entries are made:

1. Recording the donation received for capital addition:

Restricted Cash - Capital Additions  Dr. $502,000

Donation Revenue Cr. $502,000

The restricted cash is increased by $502,000, representing the additional donation received for capital additions. The corresponding revenue account is credited.

2. Recording the contribution to the permanent endowment:

Cash Dr. $210,000

Permanently Restricted Net Assets Cr. $210,000

The cash received from the alum is debited, and the permanently restricted net assets (part of the endowment) are credited.

3. Recording interest and dividends received on endowment investments:

Restricted Cash - Scholarships Dr. $50,000

Investment Income Cr. $50,000

The interest and dividends received on the endowment investments are debited to restricted cash for scholarships, and the investment income account is credited.

4. Recording the increase in fair value of investments:

Investment Gain  Dr. $7,100

Unrestricted Net Assets  Cr. $7,100

The increase in the fair value of the investments is recorded as an investment gain. The unrestricted net assets account is credited, as gains or losses from changes in fair value are not distributed and remain in the endowment.

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2x = 2 x 25?

50 + ? = 150

50 + 100 = 150

x = 50?

2x + 50 = 150

2 x 50 + 50 = 150

100 + 50 = 150

The measure of x is 50.

Vertical angles are generated by the junction of two straight lines that are not contiguous. Vertical angles are positioned across from each other in the corners of the "X" created by two straight lines. Because they are opposite each other, they are also known as vertically opposite angles.

Using Vertical Angle property as

(50+ 2x) = 150

So, subtract 50 from side we get

50 + 2x - 50= 150 - 50

2x = 100

Now, divide both side by 2 we get

2x/2 = 100 / 2

x = 50

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The expression of the equation will be:

x² - 8x = x(x - 8)

x² - 10x = x(x - 10)

x² - 5x = x(x - 5)

x² - 3x = x(x - 3)

It should be noted that an equation simply means the expression of the variables that are given.

In this case, the following can be represented:

x² - 8x = x(x - 8)

x² - 10x = x(x - 10)

x² - 5x = x(x - 5)

x² - 3x = x(x - 3)

This is illustrated above.

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The estate dealer must sell 13 houses to reach a total commission of GHc6500

Number is a mathematical object used to count, measure, and label. It is an abstract concept that is used in many different contexts. Numbers can be used to represent a variety of different things, including quantities, values, and relationships. They are also used to represent abstract concepts such as time and money. In mathematics, numbers are used to represent sets, operations, and relationships between elements. Numbers play a crucial role in almost all areas of mathematics, from the simple counting to the study of complex equations.

Arithmetic progression is a mathematical process
which involves adding a constant number to a sequence of numbers. In this case, the constant
number is GHc500, and the sequence of numbers is the commission of GHc3750 for the first house
sold.

To find the total number of houses that must be sold to reach a commission of GHc6500, we
need to use arithmetic progression. To do this, we need to calculate the arithmetic mean of the
two numbers GHc3750 and GHc6500. This is done by adding the two numbers and dividing by two.
The arithmetic mean is GHc5125.

We then subtract the initial commission of GHc3750 from the arithmetic mean to find the
increment in the commission for each additional house sold. This gives us the amount of GHc500
for each additional house sold.

To find the total number of houses that must be sold to reach a commission of GHc6500, we
then need to divide the total commission of GHc6500 by the GHc500 increment. This gives us
13 houses. Therefore, the estate dealer must sell 13 houses to reach a total commission of GHc6500.

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In total, there are 6 * 6! = 720 different ways for the group of 7 people to sit in the row.

The total number of ways to arrange a group of n people in a row is n!, which is the product of all the integers from 1 to n. However, in this case, we have a constraint that one of the people must sit next to an aisle. To find the number of ways to arrange the group of people given this constraint, we first need to determine the number of ways for the person who needs to sit next to the aisle to be placed.

Since there are 7 seats in the row, and the person must sit next to an aisle, there are 6 different spots where they can sit (either in the first seat, second seat, etc. up to the sixth seat). Once that person is placed, we can use the formula n! to find the number of ways to arrange the remaining people. In this case, there are 6 people remaining, so there are 6! ways to arrange them. To find the total number of ways to arrange the group of 7 people given the constraint, we multiply the number of ways to place the person next to the aisle (6) by the number of ways to arrange the remaining people (6!). So, 6*6! = 720.

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Complete question is;

A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1850 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

Answer:

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

Step-by-step explanation:

Let x be number gallons consumed by car 1

Let y be number of gallons consumed by car 2

We are told that total gas consumption of 50 gallons. Thus;

x + y = 50 - - - - - eq(1)

We are told that the first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas and they went a combined total of 1850 miles. Thus;

35x + 40y = 1850 - - - - eq2

Let's make y the subject in eq(1),

y = 50 - x - - - - eq(3)

Putting 50 - x for y in eq 2 gives;

35x + 40(50-x) = 1850

35x + 2000 - 40x = 1850

-5x + 2000 = 1850

-5x = -150

x = 150/5

x = 30 gallons

Substitute 30 for x into eq 3,we have;

y = 50 - 30

y = 20 gallons

Thus;

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

Answer:

The rate of function 1 is greater than function 2, the y intercept of function 1 is 3

Step-by-step explanation:

Are you asking what's congruent? lol

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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the girl will be scoring a total of 30 goals.

What is number line?

A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.

Given, the goal scored

3 times 2

4 times 1

and 5 times 4.

So the total goal scored will be 3*2=6

4*1=4

and 5*4=20

Score = 6+4+20=30

Hence the girl will be scoring a total of 30 goals.

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Answer:

acute angle

Step-by-step explanation:

An acute angle is less than 90 degrees.

Answer:

C. Acute

Step-by-step explanation:

There is no square so it's no a right.

It's not a straight because it's 180° which is a straight line.

It's not obtuse since it doesn't seem to be larger than 90°.

Answer:

Step-by-step explanation:

A. 1

B. -3

C. 3

D. -1

The value of x = -1

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

3x +y+2z=-10  equation 1

x+5y+2z=-12  equation 2

-2x+3y=-1       equation 3

Subtracting equation 1 to equation 2, we get

3x +y+2z - (x+5y+2z)=-10 - (-12)

3x +y+2z - x -5y -2z = -10 + 12

2x - 4y = 2   equation 4

Adding equation 4 to equation 3, we get

2x - 4y -2x+3y = 2 - 1

- y = 1

y = -1

Putting the value of y in equation 4, we get

2x - 4y = 2

2x - 4(-1) = 2

2x +4 = 2

2x = -2

x = -1

Therefore, the value of x = -1

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Answer:

376

Step-by-step explanation:

There are 4 vertices with degree 3, and 2 vertices with degree 4. So, there are a total of 6 vertices in this graph.

In a simple undirected graph with 10 edges, 2 vertices have a degree of 4 and the rest have a degree of 3. To determine the number of vertices in this graph, use the formula:

Sum of degrees = 2 * number of edges

Let x be the number of vertices with degree 3. Then:

(2 * 4) + (3 * x) = 2 * 10

8 + 3x = 20

3x = 12

x = 4

We also know that two of the vertices have a degree of 4, which means that together they contribute 8 to the sum of all vertex degrees. This leaves us with 20 - 8 = 12 degrees left to distribute among the other vertices. Since the remaining vertices all have a degree of 3, we can set up the equation 3x = 12, where x is the number of remaining vertices. Solving for x, we get x = 4. Therefore, the graph has a total of 6 vertices - two with a degree of 4 and four with a degree of 3.

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