Identify the explanatory and response variables in the following situation:

There is a strong positive correlation between latitude above the equator and number of hours of daylight on June 21.

A. Explanatory: Latitude
Response: Average temperature
B. Explanatory: Daylight hours
Response: Latitude
C. Explanatory: Time of year
Response: Daylight hours
D. Explanatory: Latitude
Response: Daylight hours

Answers

Answer 1
C. Explanatory: Time of year
Response: Daylight hours

June 21 is the summer solstice where the amount of daylight in the northern hemisphere is 12 hours 8 minutes.

Related Questions

If a 16 in. by 24 in. picture has a wooden frame "x" in. wide surrounding it, what equation can be used to find the total area of the picture and frame? ...?

Answers

The total area of the the picture and frame is given by the equation A = (16 + 2x)(24 + 2x) = 384 + 32x + 48x + 4x^2 = 4x^2 + 80x^2 + 384
Area = width x length

Area = (16+2x)*(24+2x)

Brandon has two 9 cookies. Natalie has 2 less than cookies than Brandon. How many cookies does Natalie have ?

Answers

Natalie has 7 cookies
natalie has 7 cookies.

The initial number of veiws for a reader board was 25. The number of views is growing at a rate of 18% per week.

What is the number of views expected to be four weeks from now?

Round to the nearest whole number.

Answers

Based on the given values above, we will be able to determine the expected number of viewers after four weeks by just multiplying the number of viewers to 18% per week. So the initial is 25 for this next. So for the first week, additional of 4.5 viewers. So the total would be 29.5 Second week, additional of 5.31, and the total would be 34.81. Third week, additional 6.27, the total would be 41.08. And on the fourth week, additional of 7.39, so the expected number of viewers would be 48.47. To round this off to the nearest whole number, we can get 48 viewers. Hope this helps.

Answer:

The answer is 48

Step-by-step explanation:

At the time of 0 there are 25 views are exist for a reader board. If the growing rate is %18 than;

[tex]25*1,18=29,5[/tex]

There is no 0,5 view is exist than we need to round up to 30. 30 views for a reader board are exist. Than we need to repeat it for future three weeks.

[tex]30*1,18=35,4[/tex]

Second week its 35

[tex]35*1,18=41,3[/tex]

Third week its 41

[tex]41*1,18=48,38[/tex]

Forth week it goes up to 48 views.

determine whether multiplication by A is one to one linear transformation
a)A=[ 1 -1
2 0
3 -4]
b) A=[ 1 2 3
-1 0 4] ...?

Answers

To know if the given matrix is one to one linear transformation, Row reduce the Matrix A and if it has free variables in it it means it is not a one to one linear transformation.

So, we take A and apply Row Operation and get the following matrix
 
1 0 0
0 1 0
0 0 0

As, it has free variables in it, it means it is not a one to one linear transformation.

Hope it helps :)

this year 90 students signed up for the group Talent contest if all the groups have the same number of students how many groups could be formed
a. 4 or 5 groups
b. 5 or 6 groups.
c. 4 or 6 groups
d. 4 or 9 groups

Answers

The answer is B. 5 or 6 groups. 90 has to be divisible by the number. 90/5 = 18 90/6 = 15

What is the range of possible values for x? The diagram is not to scale.?

Answers

Answer:

Range : 0° < x < 17°

Step-by-step explanation:

In any triangle, the smallest angle is opposite to the smallest side.

So, In ΔABD , the side which faces ∠ABD is AD whose length is 22 units.....(1)

And, in ΔCBD, the side which faces ∠CBD is CD whose length is 30 units....(2)

Now, from equations (1) and (2) We get,

∠ABD < ∠CBD

So, ∠ABD lies between 0° to 34°

[tex]\Rightarrow 0 < 2\cdot x<34\\\Rightarrow 0<x<\frac{34}{2}\\\Rightarrow0<x<17[/tex]

∴ Range of x is 0° to 17°


Answer:

Range : 0° < x < 17°

Step-by-step explanation:

In any triangle, the smallest angle is opposite to the smallest side.

So, In ΔABD, the side which faces ∠ABD is AD whose length is 22 units.....(1)

And, in ΔCBD, the side which faces ∠CBD is CD whose length is 30 units....(2)

Now, from equations (1) and (2) We get,

∠ABD < ∠CBD

So, ∠ABD lies between 0° to 34°

∴ Range of x is 0° to 17°

. Help I can't find anyone who knows the answer to this!


A scientist sets up an experiment to see how colored lights affect the height of plant growth. He grows one group of plants in full sunlight, one group under red lights, one group under blue lights, and one group under green lights. All the plants are exactly that same type and all receive an equal intensity of life. At the end of the experiment he measures all the plants.

What is the independent and dependent variable in this equation?

(A) the color of the light

(B) the height of the plant

(C) sunlight

(D) The intensity of the light

Answers

The answer is
Independent variable - the color of the light
Dependent variable - the height of the plant

An independent variable is not affected during the experiment. It is what experimenter controls.  The dependent variable is called dependent because it depends on the independent variables. Here, the height of the plant depends on the color of the light, therefore the height of the plant is dependent variable and the color of the light is the independent variable.

"Find the constants m and b in the linear function f(x) = mx + b so that f(2) = 10 and the straight line represented by f has slope -5."

Answers

f(x) = mx + b m = slope = -5 f(2) = 10 = (-5)(2) + b b = 10 + 10 = 20 Ans. m=-5, b = 20


What is 117.28 rounded to the nearest 10 cents?

Answers

117.30                                                                                                                                                                                                                                                              maybe this will help
 
The correct answer is 117.30

Geometry help please! ty
Can you explain to me how to find the area of rectangles and triangles on a coordinate plane? Images below...

Answers

What was it? I`m on this test too.

The difference between the square of two numbers is five. Twice the square of the second number is subtracted from three times the square of the first number is 19. Find the numbers. Please show work. The difference between the square of two numbers is five. Twice the square of the second number is subtracted from three times the square of the first number is 19. Find the numbers. Please show work.

Answers

Final answer:

The two possible pairs of numbers that fit the given equations are (√7, 2) and (-√7, -2). We find these by setting up two equations based on the provided conditions and solving them simultaneously.

Explanation:

Let's denote the first number as 'x' and the second number as 'y'. We have two equations from the given information:

1. x² - y² = 5

2. 3x² - 2y² = 19

We can solve these equations simultaneously to find the values of 'x' and 'y'. The first step in solving a system of linear equations is to multiply the equations by what's needed to get the coefficients of one of the variables to match, so it can be eliminated when the equations are added or subtracted. Let's multiply the first equation by 3 and the second equation by 1. We then have:

3x² - 3y² = 15

3x² - 2y² = 19

If we subtract the second equation from the first, we get:

-y² = -4

which leads to y = 2 or y = -2 (squared numbers are always positive). Substituting '2' for 'y' in the first original equation, we find that x = √7 or x = -√7. Therefore, the possible pairs of numbers are (√7, 2) and (-√7, -2).

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whats 64 divided by 8

Answers

Hello :)

[tex] \frac{64}{8}=8 [/tex]

Answer: 8

Step-by-step explanation:

Step 1: eight times one equals eight. Eight times two equals 16, as you keep multiplying, you'll eventually get to 8 times 8 equals 64. To find 64 divided by 8, you find the other "piece" which be what makes 8 times the number equal to 64. :)

Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 750 kilograms. Renna wants to determine how many 70-kilogram passengers need to get off the elevator.
Let p represent the number of excess passengers. Write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement.

Answers

Weigth limit: 450 kg

Passengers weight: 750 kg

Excess weight: 300 kg

Number of 70 kg - passengers: p

Inequality:

70p  ≥ 300 kg 

Solution of the inequality:

p ≥ 300/70

p ≥ 4.3

Given that p is integer, p ≥ 5

Of course, p must also be less than the initial number of passengers.


How to expand 5x(5 3x)?

Answers

75 always do parenthesis first so 5*3=15 so 15x5=75 because 5*5=25 so drop the 5 carry the 2 the do 5*1 which equal 5 then add 2 and that equal 75.

If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true?

a) It includes points in Quadrant I.
b) It includes points in Quadrant II.
c) It does not include points in Quadrant I.
d) It does not include points in Quadrant II.

Answers

Answer:

B) it includes points in quadrant ii

The graph of f(x) must include points in quadrants II and IV. Therefore, option B is the correct answer.

What is an odd function?

A function is such that f(−x) =−f (x) where the sign is reversed but the absolute value remains the same if the sign of the independent variable is reversed.

So,

The points in quadrants II are in IV.

The points in quadrants I are in III.

From the question, we understand that graph includes the points in IV.

This means that these points are also in quadrant II.

Hence, the graph of f(x) must include points in quadrants II and IV.

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If the sum of the measures of the interior angles of a convex polygon is 2160o, how many sides does the polygon have?

Answers

Sum of interior angles of a polygon of n sides is equal to (n. 180 - 360) given 180n - 360 = 2160

180n = 2160 + 360
n = 2520/180
n = 14
so, the polygon have 14 sides.

hope this help

help :(
Which situations can be represented by a linear function?

Select each correct answer.

a. Every year, Luisa puts $10 into her savings account.

b. Every day, the number of bacteria in the dish is 3 times what it was the previous day.

c. A country's population increases by 0.8% each year.

d. The barrel leaks 0.5 L of water each day.

Answers

The barrel leaks 0.5 L of water each day.

Every year, Luisa puts $10 into her savings account.

-(2.1c-4d). simplify the expression

Answers

= -2.1c + 4d
= -2 (1.05c + 2d)

Not sure what exactly you want
Simplifying -1(2.1c + -4d) = 0 (2.1c * -1 + -4d * -1) = 0 (-2.1c + 4d) = 0 Solving -2.1c + 4d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4d' to each side of the equation. -2.1c + 4d + -4d = 0 + -4d Combine like terms: 4d + -4d = 0 -2.1c + 0 = 0 + -4d -2.1c = 0 + -4d Remove the zero: -2.1c = -4d Divide each side by '-2.1'. c = 1.904761905d
 
Simplifying c = 1.904761905d  <-- this is the answer 

It takes ten identical pieces to form a circular track for a pair of toy racing cars. If the inside arc of each piece is 3.4 inches shorter than the outside arc, what is the width of the track? ...?

Answers

 Length of outer track = sum of length of 10 pieces = circumference of the outer circle 


if R is the Radius of outer circle then... 

Circumference of the outer track = 2pi*R 


Similarly the circumference of the inner track (with radius r) = 2pi*r 


length of each outer piece is 3.4 inch more than length of inner piece 

So total outer length is 10*3.4 =34 inches more than the inner length. 


=> Outer Circumference - Inner Circumference = 34 inches 

=> 2pi*R - 2pi*r = 34 

=> 2pi(R -r) = 34 

=> R-r = 34/2pi = 5.41 inches 

=> R-r = Width of the track = 5.41 inches
Final answer:

To find the width of the track, add up the lengths of all the inside and outside arcs and subtract the total length of the inside arcs from the total length of the outside arcs.

Explanation:

To find the width of the track, we first need to determine the difference between the inside and outside arcs of each piece. Let's assume the outside arc has a length of A inches. According to the question, the inside arc is 3.4 inches shorter than the outside arc. Therefore, the inside arc has a length of A - 3.4 inches.



Since there are ten identical pieces forming the circular track, we can add up the lengths of all the inside arcs and all the outside arcs to find the total distance covered by the track. The width of the track is then the difference between the total length of the outside arcs and the total length of the inside arcs.



Let's express the width of the track as a function of A. The total length of the outside arcs is 10A inches, and the total length of the inside arcs is 10(A - 3.4) inches. Therefore, the width of the track is:



Width = 10A - 10(A - 3.4) inches.

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The decimal number 0.66 is an example of a repeating decimal.

True
or
False

pls answer quick

Answers

If there is a line on top then yes, if not then no, the lone on top means repeating and for .66 repeating would be 2/3 which is something you memorize after typing it into a calc a lot

Answer:

the anwser is FALSE

Step-by-step explanation:


Given g(x)=x^2-7x+1/4 show that the least possible value of g(x) is -12

Answers

The least vale of the function would be the vertex. To find the vertex first find the x value by using x= -b/2a
x=7/2 or 3.5
Now plug this in for x to find the y value.
y = (7/2)^2 -7(7/2) + (1/4)
y = (49/4) -(49/2) + (1/4)
y = (49/4) -(98/4) + (1/4)
y = (-48/4)
y = -12
The vertex is (3.5,-12)
The minimum (or max) of a function is the y value of the vertex so the min value is -12

If all four interior angles of quadrilateral P have the same measure, which of the following statements must be true?

1. All sides of P have equal length.
2. The diagonals of P are perpendicular.
3. The measure of each interior angle of P is 90 degrees.

Thanks in advance! ...?

Answers

3. The measure of each interior angle of P is 90 degrees.

Which of the following would you round and estimate to a sum of 11?

3.41 + 8.051
3.65 + 7.992
4.25 + 8.103
4.89 + 7.431

Answers

I hope this helps you

Answer:

3.41+8.051

Step-by-step explanation:

Find the distance between (4, 2) and (-4 ,-4).
A) 2
B)√10
C) 4
D) 10

Answers

The answer will be D, 10

In the image, point A is the center of the circle. Which two line segments must be equal in length?

AH¯¯¯¯¯ and BC¯¯¯¯¯

HI¯¯¯¯ and BC¯¯¯¯¯

EF¯¯¯¯¯ and HI¯¯¯¯

EF¯¯¯¯¯ and AI¯¯¯¯

Answers

the answer

the true answer is  
EF¯¯¯¯¯ and HI¯¯¯¯
proof

the line EF passes on A, and so does the line HI. both line are called diameter of the circle, that means
EF = HI

Answer: [tex]\overline{EF}=\overline{HI}[/tex]

Step-by-step explanation:

Given: In the image, point A is the center of the circle.

Therefore every straight line segments passing from one to another point of circle through the center of circle A is the diameter of the circle.

Since, [tex]\overline{EF}[/tex] and  [tex]\overline{HI}[/tex] are the line segments passing from side to side of circle through the center of circle A is the diameter of the circle, then both are representing diameter of the given circle.

Since, all the diameter of a circle has a unique length .

Hence, the  line segments must be equal in length :

[tex]\overline{EF}=\overline{HI}[/tex]

Kevin, while calculating his tax adjustments, notes that he can make adjustments of $3,435 for contributions to his retirement plan, $3,393 for business losses, and $1,128 for business expenses. If Kevin’s gross income is $45,942, what is his adjusted gross income?

a. $53,898
b. $40,242
c. $41,421
d. $37,986

Answers

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Amount of Kevin's gross income = $45942

Amount he contribute to his retirement plan = $3435

Amount he lost in business losses = $3393

Amount he incurred in business expenses = $1128

So, His adjusted gross income will be

[tex]45942-(3435+3393+1128)\\\\=45942-(7956)\\\\=\$37986[/tex]

Hence, his adjusted gross income is $37,986.

Hence, Option 'D' is correct.

(1.8 * 10^2) * (5 * 10^2)

Answers

The answer is 90,000

Jace walked a total of 5/6 of a mile to school this week how far did he walk for 5 days

Answers

Final answer:

To find how far Jace walked to school each day, divide the total distance (5/6 of a mile) by the number of days (5), resulting in 1/6 of a mile walked each day.

Explanation:

The question involves calculating the distance Jace walked to school each day if he walked a total of 5/6 of a mile over 5 days. To find out how far he walked each day, we need to divide the total distance by the number of days.

Here's the step-by-step calculation:

Total distance walked: 5/6 of a mile.

Number of days: 5 days.

To find the distance walked each day, divide the total distance by the number of days: (5/6) ÷ 5 = 5/6 ÷ 1/5 = 5/30 = 1/6.

So, Jace walked 1/6 of a mile to school each day.

For the fruit punch, keira needed 2 gallons of grape juice. she already had 2 quarts of grape juice. grape juice comes in bottles of 1 pint. how many bottles of grape juice does she need to buy? bottles

Answers

 1 gallon = 4 qts....so 2 gallons = 8 qts
so she needed 8 qts.....she had 2....so she still needs 6 qts.

1 qt = 2 pints...so 6 qts = (6 x 2) = 12 pints...and each bottle is 1 pints...so she needs 12 bottles
she needs to buy 12 bottles

For all real numbers a and b, if ab=0, then a=0 or b=0. True or false?

Answers

True. For example, if 2 is a, and b was 0, then ab would automatically be 0. Both a and b can be 0 though, but at least one of them must be zero.
False I think because the variables are right next to each other which means it's multiplying and 0×0 equal 0
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