Answer:
D
Step-by-step explanation:
A researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. Her data is expressed in the scatter plot and line of best fit below. What does the slope of the line represent?
Temperature (Degrees Fahrenheit)
Chirps Per Minute
How long the cricket continues to chirp.
The expected change in number of cricket chirps in one minute for each additional degree Fahrenheit.
The expected change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.
The expected temperature when the cricket chirps 1 time.
The slope of the line of best fit represents: the expected change in temperature in degrees Fahrenheit for each additional cricket chirp in one minute.
What is a line of best fit?A line of best fit simply refers to a statistical tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association between data points.
What is a slope?A slope is also referred to as the rate of change and it's typically used to describe both the direction, ratio, and steepness of the function of a straight line based on its coordinates or data points.
In this scenario, the slope for the given data is the change in temperature with respect to a unit change in the number of chirps sold.
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Mrs. Magdalino kept records on how much she spent on gasoline and the maintenance of her car. She found that it cost $485 to drive 500 mi in a month Find the cost per mileWrite an equation that relates the cost for gasoline and maintenance of a car to the number of miles m the car is driven. Use the equation to find the cost for driving 1200 miles. About how many miles are driven for a cost of $820?
Answer:
C = 0.97m$1164 for 1200 miles845 miles for $820Step-by-step explanation:
Given a car's cost of operation is $485 for 500 miles, you want an equation relating cost for m miles, and solutions to that equation for 1200 miles, and for a cost of $820.
Cost per mileThe cost per mile is found by dividing the cost by the associated number of miles:
$485/(500 mi) = $0.97 /mi
EquationThe equation for the cost will show the cost as the cost per mile multiplied by the number of miles:
C = 0.97m . . . . . where C is cost in dollars for m miles driven
1200 milesThe cost for driving $1200 miles will be ...
C = 0.97(1200) = $1164
The cost of driving 1200 miles is $1164.
$820The number of miles that can be driven for a cost of $820 is ...
820 = 0.97m
m = 820/0.97 = 845.36
About 845 miles are driven for a cost of $820.
Determine the value of any unknown GIVE REASONS
The value of angle b is 60 degrees. The reason is angle b is a supplementary angle to angle 120 degrees
angle b is equal to angle c the reason id that they form alternate internal angles
What are linear pairs?A linear pair is a situation where two adjacent angles are on a straight line, hence their sum is 180 degrees.
Linear pair is special cases of supplementary angles involving only two angles that are adjacent
How to solve for angle b
b + 120 = 180
b = 180 -120
b = 60
c = b (alternate internal angles)a = 80 degrees vertical anglesLearn more about linear pair here
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Joh rent a kayak at a nearby tate park. He pay a fee of 12. 99 plu 3. 75 for each hour that he pend in the water. How much did Joh pend if he wa on the river 4 1/2 hour
The total amount Joh spend when he was in the river for 4(1/2) hours is 29.865.
Given, Joh rent a kayak at a nearby state park.
He pay a fee of 12.99 plus 3. 75 for each hour that he spend in the water.
We have to find the amount he spend when he was in the water for 4(1/2) hours.
Total amount = 12.99 + hourly amount
Hourly amount = 3.75×4(1/2)
Hourly amount = 3.75×9/2
Hourly amount = 16.875
Total amount = 12.99 + 16.875
Total amount = 29.865
Hence, the total amount Joh spend when he was in the river for 4(1/2) hours is 29.865.
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Simplify by expressing fractional exponents instead of radicals 8 sqrd x^2 y^4
After the use of fractional exponents give us the value 8√(x²y⁴) is 2³(x²y⁴)¹/₂.
Exponent:
Exponent is refers the way of writing the words, "raised to the power". And it is used to show that a number has been raised to a certain power.
Given,
Here we have the expression 8√(x²y⁴).
Now, we need to simplify the fractional exponents.
When we rewritten the expression like the following,
=> 8√(x²y⁴)
While we looking at these expression we know that, the number 8 can be written as the multiple of 2,
So, it can be written as,
=> 8√(x²y⁴) = 2³√(x²y⁴).
So, in the simplified form it can be written as,
=>8√(x²y⁴) = 2³(x²y⁴)¹/₂.
Therefore, the simplified form is 2³(x²y⁴)¹/₂.
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How many triangles are in the figure below?
- 5
- 6
- 7 < answer
- 8
This question isn't possible, so I missed it and checked afterwards. Here's the answer for anyone else who may cross it's path. If possible, I'd love to know why 7 is the answer. I really have no idea.
Answer:
7 is correct.
There are 4 small triangles, 2 medium-sized triangles, and 1 large triangle.
I got angle D but I am confused with others I need help ASAP tysm
Considering the figure the unknown angles are
a = 65b = 25c = 25How to determine the unknown anglesUsing the angle in a straight line are supplementary we have
60 + a + 55 = 180
a + 115 = 180
a = 180 - 115
a = 65
applying sum of angles in a triangle equal to 180, b is calculated as follows
a + b + 90 = 180 right angle triangle
substituting for a
65 + b + 90 = 180
b + 155 = 180
b = 180 - 155
b = 25
applying vertical angle theorem
angle c = angle b
angle c = 25
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Lines AB and CD (if shown) are straight lines. Find x .
Answer:
x = 20
Step-by-step explanation:
We know that a straight line is 180 degrees. We also know that the line A and B is a supplementary angle.
We subtract 180 - 110 which will come out to 70 which is the value of angle B
We know that angles D and E are 90 degrees and since D and C is 180 degrees, that means C and E is equal to 90 degrees as well.
Since B is equal to 70 degrees, we subtract 90 - 70 to get 20 degrees which is the value of x
Convert the following. Round to 1 decimal.
0. 57 miles2 converted into feet2
0.57 mi² = 15,890,688 ft² after converting square miles in square foot.
Define the meaning of unit conversion?A unit conversion is the expression of the same feature in an another unit of measurement. Time, for example, can be stated in minutes rather than hours, and distance can be translated from miles into kilometers, feet, or indeed any length measurement. Measurements are frequently stated in one set of units, including feet, but require different units, such like chains. A conversion factor seems to be a numerical equation that allows for the equal exchange of feet and chains.The given conversion in question is-
0.57 mi² = __ ft²
We know that
1 mi² = 27,878,400 ft²
Then, multiply both sides by 0.57
1 x 0.57 mi² = 27,878,400 x 0.57 ft²
0.57 mi² = 15,890,688 ft²
Thus, the conversion of 0.57 mi² = 15,890,688 ft².
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Step up an inequality for this situation below. Define your variable, but do not solve. (2 points – 1 defined variable, 1 point correct inequality).
Mr. Bass charges his music students $25 per lesson plus a recital fee of $50. How many lessons can a student take if they pay no more than $175?
The lessons can a student take if they pay no more than $175 is 25x + 50 < 175.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
In the 12U Softball division, Olivia gets chosen. What is Olivia's age? Olivia's age is unknown to you because the word "equals" is missing. However, since you are aware that she should be under or equal to 12, you can write Olivia's Age 12. This is a real-world example of an inequality.
given:
Per lesson charges= $25
Recital f= $50
Total money can be spend= $175
let the number of lessons taken be x.
So, the inequality is
25x + 50 < 175
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if a fair die is rolled, what is the probability of landing on an even number or a number greater than 2
The probability of landing on an even number or a number greater than two is 5/6.
A fair die is rolled. We need to find out the probability of landing on an even number or a number greater than two.
Let the event of landing on an even number be denoted by the variable E1. Let the event of landing on a number greater than two be denoted by the variable E2. We need to calculate P(E1 ∪ E2).
P(E1 ∪ E2) = P(E1) + P(E2) - P(E1 ∩ E2)
P(E1 ∪ E2) = (3/6) + (4/6) - (2/6)
P(E1 ∪ E2) = 5/6
Hence, the probability of landing on an even number or a number greater than two is 5/6.
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please help me asap
Answer:
z = 52°
Step-by-step explanation:
Formula we use,
→ A + B + C = 180°
Then the value of z will be,
→ 81° + 47 ° + z = 180°
→ 128° + z = 180°
→ z = 180° - 128°
→ [ z = 52° ]
Hence, the value of z is 52°.
A sample of size 50 from a normal distribution has sample mean 5 and sample variance 20. Find 96% confidence intervals for the variance and standard deviation of the distribution.
The standard deviation and variance of the distribution's 96% confidence intervals are 9.841 and 5.704, respectively.
A normal distribution sample of size 50 has an expected higher rate of 20 and a sample mean of 5.
n = 50 makes up the sample size.
Furthermore, the sample variance is s² = 20
The following is the formula for both the variance confidence interval:
σ² = [tex](\frac{(n-1)s^2}{X^2_{{n-1};{1-\alpha /2}}}, \frac{(n-1)s^2}{X^2_{{n-1};{\alpha/2}}})[/tex]
Here, [tex]{X^2_{{n-1};{1-\alpha /2}}}[/tex] is the critical value at the status of significance [tex]\alpha[/tex] & degree of freedom n - 1.
The 90% confidence interval's lower bound for variance is stated as,
[tex]\frac{(n-1)s^2}{ {X^2_{{49};{0.95}}}}[/tex] = (49 × 20) ÷ (30.114)
= 32.54
The 90% confidence interval's upper bound for variance is stated as,
[tex]\frac{(n-1)s^2}{ {X^2_{{49};{0.95}}}}[/tex] = (49 × 20) ÷ (10.117)
= 96.86
Consequently, the confidence level for the distribution's variance is (96.86, 32.54).
Additionally, the range of the distribution's standard deviation inside the 90% confidence interval is (√96.86, √32.54), that's the same as (9.841, 5.704).
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Use function notation to write the rule for each function
f{(0,1) (1,3) (2,5) (3,7) (4,9)}
Answer: y=2x+1
Hope this helps
Marie has $180 in a savings account in week 1. She plans to deposit $12 each following week. Assuming that she does not withdraw any money from her account, what will her balance be in week 20?
The balance in Marie saving account in week 20 will be $408 .
In the question ,
it is given that
the amount in Marie's saving account in week 1 is $180 .
amount of money deposited every week is = $12 .
to find the balance in week 20 means , she deposited money for 19 weeks .
the amount deposited in 19 weeks = 19 × 12 = $228
the equation to represent the balance after w weeks = 180 + 12*w
putting w = 19 in the equation , we get
the balance in saving account in week 20 = 180 + 12*19
the balance in week 20 = 180 + 228
= $408
Therefore , The balance in Marie saving account in week 20 will be $408 .
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3z + 6(z-5) = -48
What does this equal please help
Answer: z=-2
Step-by-step explanation:
3z+6z-30=-48
9z-30=-48
9z-30=-48+30
9z=-18
z=-2
I need to know the constant of proportionality for each table and equation. I also need to know what the answer to the question on the bottom is.
Please show your work too. (Important)
The constant of proportionality for each table are 5, 2/3, 4, 1/5, 3, 2 and 1/2 while that of the equations are 1/8, 1/3 and 3/2
How to determine the constant of proportionality for each table and equation?
The constant of proportionality is the ratio of the y value to the x value i.e.
constant of proportionality(k) = y/x
To find the constant of proportionality for each table, just pick any non-zero corresponding x and y values on the table and find the ratio:
Using constant of proportionality(k) = y/x
1. y/x = 5/1 = 5
2. y/x= 4/6 = 2/3
3. y/x = 2/0.5 = 4
4. y/x= 2/10 = 1/5
5. y/x = 9/3 = 3
6. y/x = 8/4 = 2
7.y/x = 6/12 = 1/2
For the equations, just rewrite the equations in order to make y/x the subject:
8. y =1/8 x
y/x = 1/8
9. 6y = 2x
y/x = 2/6 = 1/3
10. 4y = 6x
y/x = 6/4 = 3/2
Therefore, the constant of proportionality for each table and equation are 5, 2/3, 4, 1/5, 3, 2, 1/2 and 1/8, 1/3, 3/2 respectively
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a line with slope 2 intersects a line with slope 6 at the point (40, 30). what is the distance between the x-intercepts of these two line
The distance between the x-intercepts of these two line is 10 units.
Given that,
These two lines' x-intercepts are separated by 10 units.
Equation of the line with slope 2 is
y-30/x-40 = 2
For x intercept put y = 0,
then
-30/x-40 =2
x =25
Equation of the line with slope 6 is
y-30/x-40 =6
For x intercept put y = 0,
then
-30/x-40 =6
x =35
Distance between x-intercepts of these two lines is difference of the two intercepts i.e,
D = 35-25 = 10.
Thus, the distance between the x-intercepts of these two line is 10 units.
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Find a polynomial function of least degree having only real
coefficients, a leading coefficient of 1, and zeros of 4 and
3 + i.
The polynomial function of least degree having only real coefficient is f(x) = [tex]x^3 -10x^2 +34x-40[/tex]
Given,
In the question:
A leading coefficient of 1, and zeros of 4 and 3 + i.
To find the polynomial function of least degree having only real coefficients.
Now, According to the question;
The function has 4 and 3 + i .
As, i's roots
So, 3 - i is also its root a leading coefficient of 1 .
So, The function of polynomial is :
f(x) = (x - 4) [tex][(x - 3)^2 + 1][/tex]
To solve the function;
f(x) = [tex]x^3 -10x^2 +34x-40[/tex]
Hence, The polynomial function of least degree having only real coefficient is f(x) = [tex]x^3 -10x^2 +34x-40[/tex]
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what is 56/80 as a percentage
Answer:
To do percentages with fractions,
divide the numerator by denominator to get a decimal,
so for example, your question 56/80.
56/80 is 0.7 decimal, and then to make it percent,
we multiply by 100,
how does that work?
you move two places to the right because 100 has two zeros
so 0.7 would be 70,
therefore the percent of 56/80 would be 70%
Good day ml! <3
the coded values for a measure of brightness in paper (light reflectivity), prepared by two different processes, are as shown in the accompanying table for samples of size 9 drawn randomly from each of the two processes. do the data present sufficient evidence to indicate a difference in locations of brightness measurements for the two processes? give the attained significance level.
The level can be attained by light reflections.
What are light reflections?The law of reflection states that objects can either be observed through the light they emit or, more frequently, through the light they reflect. The law of reflection, which states that the angle of incidence and reflection must be equal, is observed by reflected light.The transition known as reflection flips a shape in a mirror line, also known as a line of reflection, such that each point is at the same distance from the mirror line as its reflected point.n mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflectionlearn more about reflections here:
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What is the slope of a line that is parallel to the line y = x 2?
In a pack of Skittles, 20% are red. If 13 are red, how many skittles were in the entire bag?
The total number of skittles in the bag will be 65.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that In a pack of Skittles, 20% are red. If 13 are red. The total number of skittles will be calculated as,
N = ( 13 / 20 ) x 100
N = 130 / 2
N = 65
Therefore, the total number of skittles in the bag will be 65.
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pLS HURRY!!!This area model shows the quotient of 1/5+4
What is the quotient?
Enter your answer as a fraction in simplest from by
filling in the boxes.
The quotient of the fraction is 0.05 and the fraction in its simplest form is 1/20
How find the quotient of a fraction?The quotient of a fraction is the whole number that is obtained when you simplify the fraction. If the simplification of a fraction is not a whole number, the quotient is the decimal form of the fraction
Given: 1/5÷4
1/5÷4 = 1/5 × 1/4 (Note: If ÷ change to ×, 4 will change to 1/4 )
= 1/20 = 0.05
Therefore, the quotient of the fraction is 0.05 and 1/20 should be filled in the box
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As the value of c increase toward infinity, what happens to the values of g(x) = 3x - 19
Find the length of side AC. Give your answer to 1 decimal place.
The length of AC is 17.3 cm
What is rectangle?We also refer to a rectangle as an equiangular quadrilateral since all of its angles are equal.A closed 4-sided shape is called a quadrilateral.A rectangle can also be referred to as a right-angled parallelogram because its sides are parallel.A quadrilateral with equal and parallel opposite sides is referred to as a parallelogram.Paralleograms are a specific instance of rectangles.acc to our question,
AC is the perpendicularAB is the base and θ = 68°So,tan 68° = or, AC = tan 68°×AB 17.3 (approx)Hence,The length of AC is 17.3 cm
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air is pumped into a spherical balloon at the constant rate of 200 cubic centimeters per second. how fast is the surface area of the balloon changing when the radius is 5 centimeters?
The rate of change of the surface area of the balloon is 32cm²/sec
We know that volume of the sphere is,
V = 4/3πr³
Given,
dV / dt = +200
r = 5cm
d(SA) / dt = ?
dV / dt = 4πr² dr/dt
80 = 4π (25) dr/dt
dr / dt = 0.8 / π
SA = 4πr²
d(SA) / dt = 8πr dr / dt
d(SA) / dt = 8π × 5 × 0.8 / π
d(SA) / dt = 32cm²/sec
Hence the rate of change of the surface area is 32cm²/sec
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Consider the line y=-8/5x+6.
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of parallel line:
Equation of perpendicular line:
Step-by-step explanation:
the equation
y = -8/5 x + 6
tells us 2 things :
-8/5 is the slope of the line, 6 is the y-intercept (the y value when x = 0).
a parallel line has the same slope (just a different y-intercept) : -8/5
a perpendicular line (intercepts at 90°) turns the original slope upside-down and flips the sign : 5/8
we the use the given point as x and y values and calculate the y-intercepts.
parallel :
3 = -8/5 × 5 + y-intercept = -8 + y-intercept
11 = y-intercept
y = -8/5 x + 11
perpendicular :
3 = 5/8 × 5 + y-intercept = 25/8 + y-intercept
(3×8)/8 = 24/8 = 25/8 + y-intercept
-1/8 = y-interceot
y = 5/8 x - 1/8 = 1/8 × (5x - 1)
The image of the point (9, -3)(9,−3) under a translation is (4, 1)(4,1). Find the coordinates of the image of the point (0, 2)(0,2) under the same translation.
13. In the figure, PSR is a straight line. Find RSQ and PQS.
The angle RSQ = 105° and angle PQS = 78°
Given,
In the question:
In the figure,
PSR is a straight line .
To find the angle RSQ and angle PQS.
Now, According to the question;
In ΔQRS,
we know that :
Sum of angle of triangle is 180 degree.
Angle (SQR + QRS + RSQ) = 180°
In the figure,
Angle (23° + 52° + RSQ) = 180°
75° + ∠RSQ = 180°
∠RSQ = 180 - 75
∠RSQ = 105°
We have to find the ∠PQS
Now, PSR is a straight line
In Triangle PSQ
Find the ∠S
105 + ∠S = 180° (Linear Pair)
∠S = 75°
In ΔPQS
Angle(SPQ + PQS + QSP) = 180°
Angle(27° + PQS + 75° ) = 180°
∠PQS = 180 - 102
∠PQS = ∠78°
Hence, The angle RSQ = 105° and angle PQS = 78°
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