Answers
Work Shown:
x = number of weeks
y = number of tests
slope = rise/run
slope = (change in y)/(change in x)
slope = 27/36
slope = (9*3)/(9*4)
slope = 3/4
A slope of 3/4 means that there are 3 tests for every 4 weeks.
Related Questions
The total surface area of a window is 2630in2. Use the fact that 1 in = 2.54 cm to convert this area to cm2.
Answers
2630 * 2.54 * 2.54 = 16967.71 cm2
The total surface area of the window in square centimeters is 17011 cm².
To convert the total surface area of a window from square inches to square centimeters, we can use the conversion factor of 1 in = 2.54 cm.
Here are the steps to follow:
Multiply the surface area in square inches by the conversion factor to get the surface area in square centimeters.
Round the answer to the nearest whole number.
Using the given surface area of 2630 in², we can convert it to square centimeters as follows:
2630 in² × (2.54 cm/in)² = 17010.76 cm²
Rounding to the nearest whole number, we get:
17011 cm²
Therefore, the total surface area of the window in square centimeters is 17011 cm².
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There are blue, red and green pencils in the box—20 pencils total. There are 6 times more green pencils than blue pencils. There are fewer red pencils than green pencils. How many pencils do you need to take out of the box in order to get at least one red pencil among them?
Answers
Answer:
15
Step-by-step explanation:
Try 1, 2, 3, or 4 blue pencils. Then green is 6 times as many. Red must be the rest to make up 20 total.
No. of blue No. of green No. of red
1 6 13
2 12 6
3 18 -1
You can't have 3 blue pencils because 3 blue + 18 green = 21 pencils, and there are only 20.
If you have 1 blue and 6 green, then there must be 13 red, but red must be less than green, and 13 is not less than 6.
The only possibility is
2 blue, 12 green, 6 red
If you start taking out pencils, when you take out the first 14 they may be all blues or green, so only when you take out the 15th pencil do you know for sure there must be 1 green pencil.
A cup of instant rice makes 1.5 cups of cooked rice . How many cups of cooked rice will 3 cups of instant rice make ?
Answers
1.5cooked rice x 3instant rice
The numbers 1 through 10 are written on a board. You can erase any two numbers and replace them with their difference. Is it possible to repeat this process until the only number on the board is 0?
Answers
Answer:
That's right in the end we will get only zeros.
Step-by-step explanation:
We can do a test:
-We choose two numbers for example 2 and 7; making the difference or subtraction would give a value of 5; Now when you start to make differences between two following numbers, it will give a value that will be repeated in double position, which will determine that at some point you will start to make differences in which the only value on the board is zero. .
1-2-3-4-5-6-7-8-9-10. We subtract and replace the value obtained in two positions.(7-2)=5;
Now we get:
1-5-3-4-5-6-5-8-9-10;
If we subtract 5 minus 5 we will obtain zero, and so we proceed to do the same with two following numbers, we replace the obtained value and then we make the difference between them.
Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles. It is given that ∠EIJ ≅ ∠GJI. Also, ∠EIJ ≅ ∠IKL and ∠GJI ≅ ∠JLK, as they are corresponding angles for parallel lines cut by a transversal. By the definition of congruent angles, m∠EIJ = m∠GJI, m∠EIJ = m∠IKL, and m∠GJI = m∠JLK. So, m∠IKL = m∠JLK by the ___________ (substitution property of equality, subtraction property of equality , or symmetry property of equality.) . Angle JLK and ∠JLD are supplementary angles by the _____________________ (vertical angles theorem, congruent supplements theroem, or linear pair theroem.) so m∠JLK + m∠JLD = 180°. By the (substitution property of equality reflexive property of equality, or division property of equality) , m∠IKL + m∠JLD = 180°. Therefore, ∠IKL and ∠JLD are supplementary angles by definition.
Answers
Answer:
1st blank: substitution property of equality
2nd blank: linear pair theorem
3rd blank: substitution property of equality
Step-by-step explanation:
1st blank
∠EIJ ≅ ∠GJI (eq. 1)
∠EIJ ≅ ∠IKL (eq. 2)
∠GJI ≅ ∠JLK (eq. 3)
Substituting eq. 3 into eq. 1:
∠EIJ ≅ ∠JLK
and then, substituting eq. 2:
∠IKL ≅ ∠JLK
which means that m∠IKL = m∠JLK
2nd blank
The Linear Pair Theorem states that two angles that form a linear pair are supplementary
3rd blank
m∠JLK + m∠JLD = 180°
Substituting with the previous result:
m∠IKL + m∠JLD = 180°
Answer:
1st blank: substitution property of equality
2nd blank: linear pair theorem
3rd blank: substitution property of equality
Step-by-step explanation:
there u go
Patty lives on a chicken farm and can collect 80 eggs in 2 hours. At that rate how long will it take her to collect 360 eggs?
I'm confused, how do you solve this...
Answers
Answer:
9 hours
Step-by-step explanation:
First we have to calculate how many eggs she can collect in an hour. All we have to do to do this is divide 80 by 2, as if she can collect 80 in 2 hours, in one hour, half of the time, she can collect have of the eggs. This means that she can collect 40 eggs in one hour.
Now all we have to do is divide how many eggs she wants to collect by how many she can collect per hour, which will give how many hours it will take. In this case 360/40=9, so it will take her 9 hours.
Answer:
9 hours
360/80 = 4.5 x 2 = 9
Differentiate... How to solve this type of problem? y = cos^2(x^2 + x^3)
Answers
Answer:
[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]
Step-by-step explanation:
Step(i):-
Given y = cos² (x² + x³) ....(i)
By using differentiation formulas
a) [tex]\frac{d}{dx} (cosx) = -sinx[/tex]
b) [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
Step(ii):-
Differentiating equation (i) with respective to 'x'
First apply formula [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} )^{2-1} \frac{d}{d x} (cos(x^{2} +x^{3})[/tex]
Now we will apply formula
[tex]\frac{d}{dx} (cosx) = -sinx[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3})\frac{d}{dx} (x^{2} +x^{3} )[/tex]
Again apply formula [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
[tex]\frac{d y}{d x} = -2 sin (x^{2} +x^{3} ) cos(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
we know that trigonometric formulas
Sin 2θ = 2 sinθ cosθ
[tex]\frac{d y}{d x} = -sin2(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
Final answer:-
[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]
Find the total surface area of this triangular prism.
Answers
Answer:
[tex]1048^{2}[/tex](cm)
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 18.8 in and a base with a
diameter of 14.3 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
The volume of the cone is 1006.9in³
Step-by-step explanation:
Given
[tex]Height = 18.8\ in[/tex]
[tex]Diameter = 14.3\ in[/tex]
Required
Calculate the volume;
The volume of a cone is calculated as thus;
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where V represents volume; r represents radius; and h represents height
The radius is calculated as thus;
[tex]r = \frac{1}{2}Diameter[/tex]
[tex]r = \frac{1}{2} * 14.3[/tex]
[tex]r = 7.15[/tex]
Substitute [tex]r = 7.15[/tex]; [tex]h = 18.8[/tex] and [tex]\pi = \frac{22}{7}[/tex]
[tex]V = \frac{1}{3} \pi r^2h[/tex] becomes
[tex]V = \frac{1}{3} * \frac{22}{7} * 7.15^2 * 18.8[/tex]
[tex]V = \frac{1}{3} * \frac{22}{7} * 51.1225 * 18.8[/tex]
[tex]V = \frac{22* 51.1225 * 18.8}{3 * 7}[/tex]
[tex]V = \frac{21144.266}{21}[/tex]
[tex]V = 1006.86980952[/tex]
[tex]V = 1006.9\ in^3[/tex] (Approximated)
Hence, the approximated volume of the cone is 1006.9in³
Answer:1006.5
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answers
Answer:
Substitution
Step-by-step explanation:
The subtraction property of equality is when you subtract from both sides, they will still be equal. The multiplication property is the same thing but with multiplication.
Answer:
Substitution
Step-by-step explanation:
Substitution: If a = b, then either a or b may be substitued for the other in any equation (or inequality).
Multiplication: If a =b, then ca = cb.
Subtraction: If a=b and c=d, then a-c=b-d
Substitution is the closest.
how would a bank represent a withdrawal of 19.43 dollars?
Answers
Answer:
-19.43
Step-by-step explanation:
Withdrawals are negative
Answer: $-19.43
To create an open-top box out of a sheet of cardboard that is 25 inches long and
13 inches wide, you make a square flap of side length x inches in each corner by
13 in.
cutting along one of the flap's sides and folding along the other. (In the diagram,
a solid line segment in the interior of the rectangle indicates a cut, while a
dashed line segment indicates a fold.) Once you fold up the four sides of the
box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the
volume of the box.
Answers
Step-by-step explanation:
length of the box is a = 25 -2x
width of the box is b =13 -2x
height of the box is x
and x < 6,5
so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x
f'(x) = 12x^2 - 152x + 325
to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94
so x = 2,72 inches
Answer:
length of the box is a = 25 -2x
width of the box is b =13 -2x
height of the box is x
and x < 6,5
so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x
f'(x) = 12x^2 - 152x + 325
to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94
so x = 2,72 inches
Step-by-step explanation:
Consider the following expression and determine which statements are true. x^2+5yz−8
Answers
Answer:
A.there are 3 terms.
B.the variables are x, y, and z.
Step-by-step explanation:
Complete question below:
Consider the following expression and determine which statements are true. x^2+5yz−8
CHOOSE 2 ANSWERS)
A.there are 3 terms.
B.the variables are x, y, and z.
C.The coefficient of x is 2.
D.the term 5yz is made up of 2 factors
The expression x^2+5yz-8
has three terms namely: x^2, 5yz and -8
The variables are x, y and z
The coefficient of x is 1 not 2, so option c is wrong
The term 5yz is made up of more than two factors namely 5, y, z, 5y, 5z, 5yz . So option d is also wrong.
The correct answers are option a and option b
A.there are 3 terms.
B.the variables are x, y, and z
Answer:
A and B
Step-by-step explanation:
What Khan said
PLEASE!!! HELP!!! Question: If you have points on a graph that plot (1,7), (2,8), (3,5) and (4,6) what would be the slope?
Answers
Answer:
1
Step-by-step explanation:
You only need two points to find the slope.
Let's use (1,7) and (2,8).
The formula for slope is (y2-y1)/(x2-x1)
Let's plug the values in:
(8-7)/(2-1) = 1.
So, the slope is 1.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answers
Answer:
y=5x-4
Step-by-step explanation:
Write in slope-intercept form.
y= mx +b
To find the slope [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Your points are (5,21) and (-5,-29)
[tex]y_2[/tex] = -29
[tex]y_1[/tex] = 21
[tex]x_2[/tex] = -5
[tex]x_1[/tex] = 5
[tex]\frac{-29-21}{-5-5}[/tex]=[tex]\frac{-50}{-10}[/tex]=5
The slope is 5.
y= 5x+b
Insert a point. Let's use (5,21)
21 = 5(5) +b
21 = 25+ b
b=-4
y=5x-4
A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width?
Answers
Answer:
Step-by-step explanation:
let width=x
length=3x
area=3x×x=3x²
3x²=192
x²=192/3=64
x=√64=8
width=8 m
length=3×8=24 m
Answer:
Length= 24 meterWidth= 8 meterSolution,
Let the length be 3x meter.
Let the width be X meter
Area of rectangle= 192 square metres
Now,
Area of rectangles= length * breath
[tex]192 = 3x \times x \\ 192 = 3 {x}^{2} \\ {x}^{2} = \frac{192}{3} \\ x^{2} = 64 \\ x = \sqrt{64} \\ x = 8 \: meter[/tex]
Width = 8 meterReplacing value,
Length= 3x[tex] \: \: \: 3 \times x \\ \: \: = 3 \times 8 \\ \: \: \: \: = 24[/tex]
Length= 24 meter.Hope this helps...
Good luck on your assignment...
What is the hypothesis in the following conditional
statement?
"If a polygon has three sides, then it is a triangle."
O A) It is a triangle.
OB) It is not a triangle.
OC) A polygon has three sides.
OD) A polygon does not have three sides.
Answers
Attachment Below, please help, I'm not timed
Answers
Answer:
Step-by-step explanation:
x + 2x + 4x = 49
7x = 49
x = 7
2(7)= 14 hours he worked on Wednesday
Tuesday: x hours
Wednesday: 2x hours
Thursday: 4x hours
x hours + 2x hours + 4x hours = 49 hours
7x hours = 49 hours
x = 49/7
x = 7
2x = 14
Solve by factoring 6x^3 - 16x^2 - 32x = 0. Enter your work
Answers
Hey there! :)
Answer:
x = -4/3, 0, 4.
Step-by-step explanation:
Starting with:
6x³ - 16x² - 32x = 0
Factor out the greatest common factor between each term, or 2x:
2x(3x² - 8x - 16) = 0
Factor the expression inside the parenthesis:
2x(3x +4)(x - 4) = 0
Use the Zero Product Property to solve the equation:
2x = 0
x = 0
---------
3x + 4 = 0
3x = -4
x = -4/3
-------------
x - 4 = 0
x = 4
-------------
Therefore, the solutions to this equation are:
x = -4/3, 0, 4.
Answer:
Step-by-step explanation:
The common factor is 2x
2x(3x^2 - 8x - 16)
(x - 4)(3x+4)*2x = 0
x = 2
x = 4
x = -4/3
This does not graph too awfully well, but at least it givens you a notion of the roots.
If f(x) = 1/9x - 2 what is f^1(x)
Answers
You are taking 1500 US dollars on a trip. After checking the exchange rate, you figure out the exchange rate is 1 US dollar to 0.74 euros. Task: write an equation to convert US dollars to euros. Will mark most brainiest if you answer!
Answers
Answer:
1500*0.74 = (1,110 euros)
Step-by-step explanation:
1. Use the equation, 1500*0.74.
2. Multiply 1500 and 0.74 to find out how many euros can be converted with 1500 US dollars.
3. Once you multiply them together, the final answer is 1,110 euros.
60%
12. Your math teacher allows you to choose the most favorable measure of central tendency of your test scores to determine your grade for the term. On
six tests you earn scores of 89, 81, 85, 82, 89, and 89. What is your grade to the nearest whole number, and which measure of central tendency
should you choose?
95
Answers:
89; the mean
91; the mode
89; the mode
87; the median
Answers
Answer:
To answer the question above,
If you entered your test scores correctly, then your choices are off the wall.
The median is 87
The mode is 89
The mean is 85.833...
There is not a mode of 91 !
I hope this helps
Step-by-step explanation:
What's the standard equation of the circle with the general equation x2 + y2 + 4x – 2y – 20 = 0? answers: 1) (x + 2)2 + (y – 1)2 = 5 2) (x – 2)2 + (y + 1)2 = 25 3) (x + 1)2 + (y – 2)2 = 5 4) (x + 2)2 + (y – 1)2 = 25
Answers
Answer:
4). (x + 2)^2 + (y - 1)^2 = 25.
Step-by-step explanation:
x^2 + y^2 + 4x - 2y - 20 = 0
x^2 + 4x + y^2 - 2y = 20
Completing the square on the x and y terms:
(x + 2)^2 - 4 + (y - 1)^2 - 1 = 20
(x + 2)^2 + (y - 1)^2 = 20 + 4 + 1
(x + 2)^2 + (y - 1)^2 = 25.
The standard equation of the circle with the given equation is (x+2)²+(y-1)²=25. Therefore, option 4 is the correct answer.
What is a circle equation?The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
The standard equation of a circle with center at (x₁, y₁) and radius r is (x-x₁)²+(y-y₁)²=r²
The given circle equation is x²+ y²+4x-2y-20=0.
Here, x²+ y²+4x-2y=20
By completing the square on the x and y terms:
Now, add 4 on both the sides of an equation, we get
x²+ y²+4x-2y+4=20+4
x²+4x+4+y²-2y=24
Add 1 on both the sides of an equation, we get
(x+2)²+y²-2y+1=24+1
(x+2)²+(y-1)²=25
The standard equation of the circle with the given equation is (x+2)²+(y-1)²=25. Therefore, option 4 is the correct answer.
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Can someone help me please
Answers
Answer:
60°
Step-by-step explanation:
<DGC = <AGB
90 = 90
You know that line E and F is 180° since it is a straight line. On the staright line you now have two angels. You can now frigure out x° by doing this:
180° - (30° + 90°)
180° - 120°
60°
Answer:
x=60
Step-by-step explanation:
using verticle theorem angle FC is 30 and angle AB is 90. Angle D = x
240+2x=360
x=60
8. Evelyn flips three coins simultaneously. The theoretical probability that only two of the coins will turn up heads is. If Evelyn flips the three coins simultaneously 200 times, how many times can
she expect only two heads to turn up?
Answers
Answer:
134 will be heads.
Step-by-step explanation:
200÷3 = 66.66
Round that of to the nearest whole number = 67
67 x 2 = 134
Answer:
75
Step-by-step explanation:
i took the semester exam
In Ellen’s math class, there are 2 boys for every 3 girls. Which of the following could be the ratio of boys to girls in the class? a. 17/21 b. 14/21 c. 7/14 d. 11/17
Answers
Answer:
b. 14/21
Step-by-step explanation:
so you have 7x2 boys and 7x3 girls.
Algebra help needed
Answers
I have tried showing all the work. Hope this helps!
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8552 g and a standard deviation of 0.0519 g. A sample of these candies came from a package containing 442 candies, and the package label stated that the net weight is 377.3 g. (If every package has 442 candies, the mean weight of the candies must exceed StartFraction 377.3 Over 442 EndFraction equals0.8537 g for the net contents to weigh at least 377.3 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8537 g. The probability is nothing. (Round to four decimal places as needed.)
Answers
Answer:
The probability that the weight of a candy randomly selected is more than 0.8537 is 0.7486
Step-by-step explanation:
The given parameters are;
The mean candle weight = 0.8552 g
The standard deviation = 0.0519 g
The number in the sample, n = 442 candles
By central limit theorem, the sample standard deviation, [tex]\sigma _{\bar x}[/tex] is given by the relationship;
[tex]\sigma _{\bar x} = \dfrac{\sigma}{\sqrt{n} } = \dfrac{0.0519}{\sqrt{442} } = 0.002469[/tex]
The probability is given by the relation;
[tex]P\left (\bar{X}>0.8537 \right )= P\left (\dfrac{\bar{X}-\mu }{\dfrac{\sigma }{\sqrt{n}}} >\dfrac{0.8537-\mu }{\dfrac{\sigma }{\sqrt{n}}} \right )[/tex]
[tex]P\left (\bar{X}>0.8537 \right )= P\left (\dfrac{\bar{X}-0.8552 }{\dfrac{\sigma }{\sqrt{n}}} >\dfrac{0.8537-0.8552 }{\dfrac{0.0519 }{\sqrt{442}}} \right )[/tex]
[tex]P\left (\bar{X}>0.8537 \right )= P\left (z>-0.6076\right )[/tex]
The from the z-score table we have = 0.2514
The probability of P (z > -6076) = 1 - 0.2514 = 0.7486
The probability that the weight of a candy randomly selected is more than 0.8537 = 0.7486.
Find the missing length indicated.
Answers
sqrt of 144 = 12
x= 12
Keiko estimated the height of her office building to be 45 ft. The actual height of her office building is 42 ft
Find the absolute error and the percent error of Keiko's estimate. If necessary, round your answers to the nearest tenth.
Answers
% error formula: | true value minus "your" (as in Keiko's) value | over true value, times 100.
so: 42 - 45 = 3 (it would be negative but we used absolute value, which is how it is supposed to be done. 3 is your absolute error).
3/42 = 0.07143
0.07142 * 100 = 7.142%. she was only 7.142% off from the right answer.