A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4.
What is the rectangle's length?
A. 6
B. 7
C. 8
D. 9

The absolute value of change in the predicted value of dependent variable Y is 18.

Any variable whose value is influenced by an independent variable is said to be dependent. The thing that is measured or assessed in an experiment or mathematical equation is the dependent variable. The phrase "the outcome variable" is another name for the dependent variable.

Slope = b = -4

Intercept = a = -2.8

So, the equation of the regression line is

y  =  a + bx

y = -2.8 - 4x              ...Equation 1

Now suppose the value of x is changed by adding 4.5

i.e. put x = x + 4.5

So,

y = -2.8 - 4(x + 4.5)

y = -2.8 -4x - 18         ...Equation 2

Comparing 1 and 2 ,

We get the predicted value of dependent variable Y as 18

Therefore The absolute value of change in the predicted value of dependent variable Y is 18

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Fingerprinting is a technique used by forensic experts and crime scene investigators to identify individuals based on their unique fingerprints. Fingerprints are unique to each individual and have distinct ridge patterns that are used to identify individuals.

It is an effective way of identifying people because fingerprints remain the same throughout a person's life, unlike other physical characteristics.

When fingerprinting a person who is missing fingers, two notations that should be used on the fingerprint card are "amputation" and "absent." The notations on the fingerprint card should indicate that the fingers are missing due to amputation or absence.

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When fingerprinting a person missing fingers, the two notations that should be used on the fingerprint card are tented arch for a missing middle finger and amputation notation for a completely missing finger.

When fingerprinting a person who is missing fingers, two notations should be used on the fingerprint card:

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SOLUTION:

Case: Quadratic Application Word Problem

Given:

Required:

a. How long did it take for Jason to reach his maximum height?

b. What was the highest point that Jason reached?

c. What is Jason’s initial height?

Method:

Step 1: How long did it take for Jason to reach his maximum height?

To calculate this, we find the vertex

From here, the vertex is at (1/2, 484).

Hence it takes 1/2 a second to reach the maximum height

Step 2: What was the highest point that Jason reached?

Also, from the vertex, we get the highest height reached

The maximum height reached was 484 feet

Step 3: What is Jason’s initial height?

The initial height is gotten at the start of the motion, i.e. h(0) = ?

Hence the initial height was 480 feet

Final answer:

A) Time = 1/2 second

B) Maximum Height, H= 484 feet

C) Initial Height, H= 480 feet

Answer:

As no graph is provided you can only solve it.Steps provided below

Yes you have done it

2170 toys Jamal assemble altogether during his first 20 days.

What is the arithmetic sequence?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

Here, we have

Given: Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he assembled 137 toys. He noticed that since he started, every day he assembled 3 more toys than the day before.

We have to find how many toys did Jamal assemble altogether during his first 20 days.

We apply the arithmetic sequence formula and we get

tₙ = t₁ + (n-1)d

137 = t₁ + (20-1)(3)

t₁ = 80

To calculate the total number of toys that Jamal assemble in his first 20 days,

S₂₀ = (20/2)(2×80 + (20-1)(3))

S₂₀ = 2170

Hence, 2170 toys Jamal assemble altogether during his first 20 days.

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Answer:

1.5 minutes (or 1 minute and 30 seconds)

Step-by-step explanation:

5 : 40 = x : 12

x = (5 * 12)/40

x = 12/8

x = 1.5 minutes

Answer: 1 min and 50 seconds

Step-by-step explanation:

first, you have to find the unit rate of how many papers the printer can make in a min which is 40 divided by 5 which gets you a unit rate of 8 for every minute then you take your 12 paper and divide it by your unit rate of 8 per minute which gets you how long it would take to print 12 papers which equal 1.5

Answer:

On the y axis

Step-by-step explanation:

If x is zero, it automatically has to be on the y axis because x=0 is where the x and y axis intersect.

A correlation of .9 indicates that 81% of the variance between two variables has been explained.

Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.

To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:

R^2 = (0.9)^2 = 0.81

Thus, a correlation of 0.9 explains 81% of the variance between the two variables.

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Answer:

1263

Step-by-step explanation:

We need to use the formula for exponential growth:
P(t) = \(P_{o} (1+r)^{t}\)

Substituting 1000 in for \(P_{o}\), 0.06 in for r and 4 in for t, results in 1263 Bacteria.

Answer:

C

Step-by-step explanation:

multiply by 2 to be 2x-6

Answer:

x=8//

Step-by-step explanation:

2(x- 3)

or,2x-6

or,X=6+2

hence,X=8//

Boris should navigate 79.74° to go to Island C.

Given,

Boris is on vacation at a tropical bay that has three islands.

Distance between Island A and Island C = 13 miles

Distance between Island B and Island C = 14 miles

Distance between Island A and Island B = 8 miles

Boris rents a boat on Island A and plans to navigate to Island C.

We have to find that at what angle should she navigate to go to Island C

Here,

14² = 13² + 8² - (2 × 13 × 8) Cos A

Cos A = (13² + 8² - 14²) / (2 × 13 × 8)

Cos A = (169 + 64 - 196) / 208

Cos A = 37/208

A = arc Cos 0.178

A = 79.74°

Therefore,

Boris should navigate 79.74° to go to Island C.

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The given question is incomplete. Completed question is given below;

Boris is on vacation at a tropical bay that has three islands. He rents a boat on Island A and plans to navigate to Island C, which is 13 miles away. Based on the figure below, at what angle θ should he navigate to go to Island C? Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth of a degree . × S

Image is attached;

Answer:

y= 3x+ 1

Step-by-step explanation:

-3x   +   2y =2

+3x            +3x

---------------------

2y = 3x +2

-----   --------

2           2

y = 3x + 1

Answer:

Step-by-step explanation:

The relation will be a function as long as none of the x values are repeated or "used" more than once. Let's state the domain (the x values) to make this determination. Domain and range are both stated in order from least to greatest, no repeats allowed (so if there is one, we won't list it but will make note of it if the repeated value is an x value. The y values can repeat all they want!)

D = {-7, -6, -2, 3, 8} That's the domain and there were no repeats, so this IS a function.

R = {2, 3, 4, 5} Notice that 5 is a y value in 2 of the coordinates, but no repeats allowed so we only list it once.

The following expression shows the main expression after the negative exponents have been eliminated: A. m⁷n³n/m.

In Mathematics, an exponent can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as bⁿ.

By applying the property of exponents based on the law of indices for the division of powers, we have the following:

b⁻ⁿ = 1/bⁿ

In this context, the exponent n⁻¹ in the given algebraic expression would be rewritten based on the law of indices for the division of powers as follows;

n⁻¹ = 1/n

Substituting the given parameters into the given algebraic expression, we have the following;

(m⁷n³)/mn⁻¹ = (m⁷n³)/m × n

(m⁷n³)/m × n = (m⁷n³n)/m

(m⁷n³)/mn⁻¹ = m⁷n³n/m

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Answer:

Step-by-step explanation:

its A

The area of the triangle with the given vertices is 19.5 square units.

To find the area of a triangle with the given vertices, we can use the formula A = (1/2)abs[(x1y2 + x2y3 + x3y1) - (x2y1 + x3y2 + x1y3)], where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the vertices.

Plugging in the given coordinates, we have:

A = (1/2)abs[(0*1 + 6*7 + 3*0) - (6*0 + 3*1 + 0*7)]

A = (1/2)abs[(42) - (3)]

A = (1/2)abs[39]

A = (1/2)(39)

A = 19.5

Therefore, the area of the triangle with the given vertices is 19.5 square units.

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Let c be the number of calories burned

and let t be the time taken to burn the calories.

At 1 minute, 20 calories are burned

Mathematically, we express that as;

Thus, the function that represents the situation is;

ANSWER: The linear function that represents the situation is c=20t

True. The is subset() method is used to check if all elements of set1 are present in set2, which means set1 is a subset of set2 if the is subset() method returns true.

True. The "is subset()" method can be used to determine whether set1 is a subset of set2. If all elements of set 1 are present in set 2, then set 1 is considered a subset of set 2. The method returns `True` if set1 is a subset of set2 and `False` otherwise.
In mathematics, if all the elements of A are also elements of B, then the set A is one of the set B; then B is a superset of A. A and B may be equal; if they are not, A is a necessary condition of B. A relationship in which one group is one of the other is called existence (or sometimes existence). A is part of B, it can also indicate that B contains (or contains) A, or that A contains (or contains) B. A k-subset is a subset with k elements.

A linked subset defines the partial order of a set. In fact, intersection and union give intersection and intersection, with subsets of the given set being Boolean algebra in the relationship, and the link itself is a Boolean coverage relationship.
Example usage:
```python
set1 = {1, 2, 3}
set2 = {1, 2, 3, 4, 5}

result = set1.issubset(set2)
print(result) # Output: True
```

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The equation of the trend line to estimate the​ hiker's elevation after 165 minutes is 2291.3 feet.

What is linear equation ?

Linear equation can be defined as equation in which highest degree is one.

Given that,

The equation of a trend line for the​ hiker's elevation is y = 9.82x + 671​.

We have to determine,

The equation of the trend line to estimate the​ hiker's elevation after 165 minutes.

According to the question,

The equation of a trend line for the​ hiker's elevation is y = 9.82x + 671​.

Where, x represents the number of minutes and y represents the​ hiker's elevation in feet.

To find the trend line to estimate the​ hiker's elevation after 165 minutes, substitute the value of x = 165 minute in the given equation.

Hence, The equation of the trend line to estimate the​ hiker's elevation after 165 minutes is 2291.3 feet.

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An equation passing through the points (2, 13) and (2, -11) is x = 2.

The equation of a line can be written in the form of y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line that goes through the given points, we first need to find the slope. The slope can be calculated using the formula:

\(\[m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\]\)

Plugging in the given points, we get:

\(\[m = \frac{-11 - 13}{2 - 2} = \frac{-24}{0}\]\)

Since the denominator is 0, the slope is undefined. This means that the line is vertical. A vertical line has the equation x = a, where a is the x-coordinate of any point on the line. Since both of the given points have the same x-coordinate of 2, the equation of the line is x = 2.

Therefore, the equation with the given characteristics is x = 2.

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The percent change would be 36%

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

Given:

4 candy bars = 5$

1 candy bar = 5/4

1 candy bar = 1.25$

Now,

5 candy bars = 4$

1 candy bar =4/5

1 candy bar = 0.8$

% change = (0.8-1.25) / 1.25 *100

                  = 36%

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Answer:

150

Step-by-step explanation:

because full capacity is 3/3, therefore you time 50 by 3, which will be 150 gallons

Answer:

Gordon: 16 pounds

Henry: 24 pounds

Sarah: 8 pounds

Step-by-step explanation:

Number of parts: 3+2+1 = 6

Amount per part: 48/6 = 8

Now Each person gets:

Gordon: 8 x 2 =  16 pounds

Henry: 8 x 3 = 24 pounds

Sarah:8 x 1= 8 pounds

Hope this helps.

Good Luck

Answer:

Gordon $16

Henry$24

Sarah$8

Step-by-step explanation:

You add the ratio 2+3+1= 6

Then you take everyone ratio according to how their names are arranged over 6 then you get the answer

Gordon2/6×48= 16

Henry3/6×48= 24

Sarah1/6×48= 8

Answer: -∞<x<∞

Explanation: The function has no undefined points or domain constraints.

For the value h = -1, the vector y = [4,-1,-1] is in the plane spanned by v1 and v2.

To determine whether y is in the plane spanned by v1 and v2, we need to check if y can be expressed as a linear combination of v1 and v2.

Let's set up an equation using the vectors v1, v2, and y:

y = av1 + bv2,

where a and b are scalar coefficients to be determined.

Substituting the given values of v1, v2, and y, we have:

[4,-1,h] = a[1,2,-1] + b[-2,-1,1].

Expanding the right side of the equation, we get:

[4,-1,h] = [a,2a,-a] + [-2b,-b,b].

Combining like terms, we obtain:

[4,-1,h] = [a-2b,2a-b,-a+b].

Now, we can set up a system of equations by comparing the corresponding components:

a - 2b = 4,     (1)

2a - b = -1,    (2)

-a + b = h.     (3)

We can solve this system to find the values of a, b, and h.

From equation (2), we can solve for a in terms of b:

2a = b - 1,

a = (b - 1)/2.

Substituting this expression for a into equation (1), we have:

(b - 1)/2 - 2b = 4,

b - 1 - 4b = 8,

-3b = 9,

b = -3.

Substituting the value of b = -3 into equation (2), we find:

2a - (-3) = -1,

2a + 3 = -1,

2a = -4,

a = -2.

Finally, substituting the values of a = -2 and b = -3 into equation (3), we get:

-(-2) + (-3) = h,

2 - 3 = h,

h = -1.

Therefore, for h = -1, the vector y = [4,-1,-1] is in the plane spanned by v1 and v2.

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Answer:

i hink c or a

Step-by-step explanation:

Properties  

A line segment is a connected, non-empty set.

If V is a topological vector space, then a closed line segment is a closed set in V. However, an open line segment is an...

More generally than above, the concept of a line segment can be defined in an ordered geometry.

A pair of line segments can be any one of the following: intersecting, parallel, skew, or none of...

Answer:

29/6

Step-by-step explanation:

1 + -2/3 - -m

1 -2/3 +m

1/3 +m

Let m = 9/2

1/3 + 9/2

Get a common denominator

1/3 *2/2 + 9/2*3/3

2/6 + 27/6

29/6

Answer:

29/6

Step-by-step explanation:

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

Answer:

24

(17x-7)

x = 7 + 17

x = 24

h

o

p

e

i

t

w

i

l

l

h

e

l

p

Answer:

-13, -22, -31, -40

Step-by-step explanation:

substitute n for each term