Answer:
1 +√21 + 1 - √21
2 2
Step-by-step explanation:
Michael is finding the area of parallelogram abcd. to do this, he follows the steps in the table. step 1 draw a rectangle around parallelogram abcd. step 2 find the area of the rectangle. step 3 find the area of the four right triangles created in the corners of the rectangle. step 4 subtract the area of the right triangles from the area of the rectangle. to solve the problem using these steps, what are the dimensions of the rectangle he should draw? on a coordinate plane, parallelogram a b c d has points (1, negative 1), (3, 2), (1, 3), and (negative 1, 0). 2 units by 4 units 3 units by 2 units 4 units by 4 units 5 units by 6 units
The dimensions of the rectangle Michael should draw is given by: C. 4 units by 4 units.
What is a rectangle?A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
In this scenario, the rectangle would be drawn to touch the parallelogram at its four vertices (A, B, C, and D). Also, this would lie outside the parallelogram with the formation of four (4) right-angle triangles.
Therefore, the dimensions of the rectangle Michael should draw is given by:
Dimension = 4 × 4 units.
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Answer:
option C
Step-by-step explanation:
jorge makes fruit snacks for his friends. He uses 1 1/2 apples to make 3 fruit snacks.
How many apples does jorge need to make 1 fruit snack
Answer:
Jorge needs 1/2 apple to make the snack.
A carnival charges $3 for kids and $10 for adults. On Saturday, there were 500 visitors, and the total amount taken at the gate was $3,600. The equation representing the number of visitors is k + a = 500, where k represents the number kids and a represents the number of adults. The equation representing the amount of money collected is 3k + 10a = 3,600. How many kids and adults visited the carnival? Part A Before solving this problem, decide which tool you’ll use to solve it. Which method for solving systems of linear equations is best for solving this problem? Explain your answer.
Answer: number of kids(k)=200
sand the number of adults(a)=300, visited the carnival.
The tool I used is called simultaneous equation and I used elimation method as the method.
The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:
The title of the graph is Tennis Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)
Part A
y-intercept: 3
It represents that after 0 months practice, the number of matches won is 3.
Part B
slope intercept form: y = mx + b
Here to find slope,
take two points: (5, 12), (0, 3)
[tex]\sf slope: \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{rise}{run}[/tex]
[tex]\rightarrow \sf slope = \dfrac{3-12}{0-5} = 1.8[/tex]
Equation:
y - y1 = m(x- x1)
y - 12 = 1.8(x - 5)
y = 1.8x - 9 + 12
y = 1.8x + 3
To find Matches won after 13 months
insert x = 13
y = 1.8(13) + 3
y = 26.4 ≈ 26 matches
The team could have won 26 matches after 13 months practice.
Answer:
See below ~
Step-by-step explanation:
Part A :
The approximate y-intercept of the line is about (0, 3)This represents that with 0 months of practice, 3 matches are wonPart B :
Finding the slopeTake two points on the line : (0, 3) and (5, 12)m = y₂ - y₁ / x₂ - x₁m = 12 - 3 / 5 - 0m = 9/5m = 1.8 (slope)Forming the equation :
y = mx + b (where m is the slope and b is the y-intercept)y = 1.8x + 3Predicting how many matches can be won with 13 months of practice :
Here, x (number of months) = 13y = 1.8(13) + 3y = 23.4 + 3y = 26.4y = 26 matches (roughly)Solve the following equations for x.
A. 7(x)^3=243
B. 5(x)^4+7=42
The values of x given the following expression are ∛243/7 and 7^1/4
Indices expressionGiven the following expression
7x³ =243
x³ = 243/7
x = ∛243/7
For the expression
5x⁴ + 7 = 42
5x⁴ = 42 - 7
5x⁴ = 35
x⁴ = 7
x = 7^1/4
Hence the values of x given the following expression are ∛243/7 and 7^1/4
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Solve 11x 2y 2 + a = b for a
Answer:
a=b-44y
Step-by-step explanation:
a=b-44y
879+29 do you know what it is
Answer:
908
Step-by-step explanation:
879+29=908
Need help please answer ASAP!
Problem 16
Answer: Choice (3)Work Shown:
[tex]2ax - 5x = 2\\\\x(2a - 5) = 2\\\\x = \frac{2}{2a-5}\\\\[/tex]
I factored out x, then divided both sides by (2a-5)
=========================================================
Problem 17
Answer: Choice (2)Work Shown:
1 yard = 3 feet
1/3 yard = 1 foot
x/3 yards = x feet
In the second step, I divided both sides by 3. Afterward, I multiplied both sides by x.
#16
2ax-5x=2x(2a-5)=2x=2/2a-5Option C
#17
3feets=1yardSo
xfeet=1/3×x yard=x/3yardThe volume of this cylinder is 1,481,276.16 cubic inches. What is the radius? (will mark brainliest)
Answer:
radius = 72.00 in (nearest hundredth)
Step-by-step explanation:
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
Volume = 1,481,276.16 in³Height = 91 inπ ≈ 3.14Substituting the given values into the formula and solving for r:
[tex]\implies \sf 1481276.16=3.14 \cdot r^2 \cdot 91[/tex]
[tex]\implies \sf 1481276.16=285.74r^2[/tex]
[tex]\implies \sf r^2=\dfrac{1481276.16}{285.74}[/tex]
[tex]\implies \sf r^2=5184[/tex]
[tex]\implies \sf r=\sqrt{5184}[/tex]
[tex]\implies \sf r=72\:in[/tex]
Answer: radius : 72.00 inch
The following is a cylinder.
Volume of Cylinder: πr²h
Given following:
volume: 1,481,276.16height: 91 inchπ ≈ 3.14radius: rSolve for radius:
[tex]\rightarrow \sf \pi r^2h =V[/tex]
[tex]\rightarrow \sf (3.14) r^2(91) =1,481,276.16[/tex]
[tex]\rightarrow \sf r^2 =\dfrac{1,481,276.16 }{91(3.14)}[/tex]
[tex]\rightarrow \sf r^2 =5184[/tex]
[tex]\rightarrow \sf r=\sqrt{5184}[/tex]
[tex]\rightarrow \sf r=72[/tex]
Please help me with this question
Answer:
difference between town A and town B is 5.4 deg. celcius
Step-by-step explanation:
I added each row and divided by 5 to get the average for A and B
I subtracted the average
see attached picture showing the math
IF UR GOOD WITH MATHS THIS ONES FOR U SURELY HELP :) ILL BRAINLIST I PROMISE THIS IS SO DIFFICULT IM GONNA RAGE.
Answer:
[tex] d = sin(39) \times 30[/tex]
!PLEASE HELP ASAP!
What do we call the statistic when we are measuring whether individuals have a certain characteristic that is either present or not?
Answer:
A parameter is a numerical description of a population characteristic
Step-by-step explanation:
A parameter is a numerical description of a population characteristic
Olivia scored 82 points on the first mathematics test of the year. On the second mathematics test, she scored 78 points. What is the percent of change in the number of points she scored between the first and second tests? Round your answer to the nearest hundredths place.
The percent of change in the number of points she scored between the first and second tests = 4.878 %
What is percentage decrease?
If the data is decreasing,
Decrease = Original Number - New Number.
Then: divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100.
Given that:
The score of first Math test = 82
The score of second Math test = 78
Changes occurs in marks by=78-82
=-4
So, there is decrease in marks.
We have to find the decrease percentage:
Decrease%= [tex]\frac{change \;in \;value}{Original\; value} *100[/tex]
= [tex]\frac{4}{82} *100[/tex]
= 0.04878 * 100
= 4.878 %
There is 4.88% decrease in Olivia's score.
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96x 3+(9*8) ÷ 126,980 =?
Answer:
288.000567018 or [tex]3(32x^{3} +\frac{3.8}{126980})[/tex]
Step-by-step explanation:
hope this helps
pls mark brainliest
what is the volume of a cone with a diameter of 30 feet and height of 60 feet? use 3.14 for pi. enter your answer in the box
Answer:
volume = 14,137
Step-by-step explanation:
radius is the diameter divided by 2
30÷2=15
radius = 15 then square
15^2 = 225
formula of volume of a cone is 1/3*pi*raduis^2*the height
1/3(3.14)(225)(60)= 14,137
The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.
What is the volume of a cone?The volume of the cone is given by;
[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\ r = radius \ and \ h = height[/tex]
The volume of a cone with a diameter of 30 feet and a height of 60 feet.
The radius of the cone is;
[tex]\rm Radius =\dfrac{Diameter}{2}\\\\Radius=\dfrac{30}{2}\\\\Radius=15[/tex]
Substitute all the values in the formula
[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 15^2 \times 60\\\\Volume \ of \ cone=14130[/tex]
Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.
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What is the distance between point B and point C? Point C is 8.6 units.
A) 5 units
B) 2.1 units
C) 8.6 units
D) 4.1 units
Answer:
4.1 units
Step-by-step explanation:
A( -2,3)
B( 2,5)
C( 8.6)
Which property is illustrated by the statement 4+(9+12)=(4+9)+12
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition:
For any real numbers a, b, and c, (a + b) + c = a + (b + c).
Answer:
Commutative Property of Addition
Step-by-step explanation:
HELPPPP THIS IS 7TH GRADE MATH AND IM CONFUSED (it’s the Jessica one btw)
Simplify this expression
20f-4(5f+4)+16
Solve step by step
20f - 4 (5f + 4) + 16
= 20f - 20f - 16 + 16
= 0
Answer:
0
Step-by-step explanation:
Distribute terms in the parentheses
20f - 4(5f + 4) + 1620f - 20f - 16 + 16 0 + 0 [20f and -20f, and -16 and 16 cancel out]016.38 divided by 0.06
Answer:
273
Step-by-step explanation:
Answer: 273
Step-by-step explanation: when you divide 16.38 by 0.06 you get 273.
On Monday, Peter ran 20 minutes and walked 20 minutes and he burnt 500 calories. On Tuesday, Peter ran 10 minutes and walked 35 minutes and he burnt, again, 500 calories.
a) Create two equations based on the situation.
b) Determine the value of the variables.
c) How many calories can peter burn with one hour of running?
Answer:
a) 20r + 20w = 500, 10r + 35w = 500
b) r = 15, w = 10
c) 900 calories
Explanation:
Let running time be r, walking time be w
a) Hence, make equation's:
20r + 20w = 500... equation 1
10r + 35w = 500... equation 2
b) Determine the value of the variables by solving simultaneously.
⇒ (500 - 20w)/20 = (500 - 35w)/10
cross multiply
⇒ 10(500 - 20w) = 20(500 - 35w)
multiply
⇒ 5000 - 200w = 10000 - 700w
shift sides
⇒ -200w + 700w = 10000 - 5000
simplify
⇒ 500w = 5000
divide both sides by 500
⇒ w = 10
Now find the value of variable r,
⇒ r = (500 - 20w)/20
insert w = 10
⇒ r = (500 - 20(10))/20
simplify
⇒ r = 15
Hence the value of r is 15 and w is 10
c) Find calories burnt after one hours of running: [1 hours = 60 minutes]
calories = 60r = 60(15) = 900 calories
Hence, he can burn 900 calories after one hours of running.
What is the absolute value of the complex number -4-√2i?
A.√14
B.3√2
C.14
D.18
PLEASE HELP
Answer: Choice B. 3√2
This is the same as writing 3sqrt(2) or [tex]3\sqrt{2}[/tex]
===========================================================
Reason:
For any complex number of the form [tex]z = a+bi[/tex], the absolute value or magnitude of it is [tex]|z| = \sqrt{a^2+b^2}[/tex]
In this case, we have [tex]a = -4 \text{ and } b = -\sqrt{2}[/tex]
So,
[tex]|z| = \sqrt{a^2+b^2}\\\\|z| = \sqrt{(-4)^2+(-\sqrt{2})^2}\\\\|z| = \sqrt{16+2}\\\\|z| = \sqrt{18}\\\\|z| = \sqrt{9*2}\\\\|z| = \sqrt{9}*\sqrt{2}\\\\|z| = 3\sqrt{2}\\\\[/tex]
If we formed a segment with the endpoints [tex](0,0) \text{ and } (-4, -\sqrt{2} )[/tex], then that segment will have length of the value mentioned above.
Side note: This formula or concept is related to the pythagorean theorem.
No 1 a b c d
PLS fast
a) a= 2×40 = 160°
b) b = 60/2 = 30°
c) c = 40°
d) d = 115°
Two teams, a and b, are about to play a game. previous records show that a has an 80% chance of winning, while b has a 20% of winning. spectators can either choose to buy regular tickets or special tickets. a spectator with a special ticket will receive a refund of $2 if team a wins and a refund of $5 if team b wins. how much extra, minimally, should the special ticket cost to cover the expected value of the refunds offered?
The special ticket cost to cover the expected value of the refunds would be $2.60
How to solve for the minimal extra cost.Probability of A winning = 80%
Probability of B winning = 20%
We have to solve for the rebate of the bet.
80% = 0.8, 20% = 0.2
0.8 x 2 = 1.6
0.2 x 5 = 1
The extra minimal cost of the special ticket would be calculated as: 1 + 1.6
= $2.6
Therefore the answer to the question is $2.6
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PLEASE HELP ME!!
find the Trinomial!
Answer:
[tex]a^{4}-2a^{2} -24[/tex]
Step-by-step explanation:
We do FOIL to solve this
Solve the following question: 4(5x-2)=2(9x+3)
Let's solve this problem step by step:
⇒ on one side, I solve the equaiton
⇒ on the other side, I give you the property that I use to solve the
equation
⇒ you don't need to write down those properties if your teachers
didn't ask you for it
[tex]4(5x-2)=2(9x+3)\\[/tex] | Given equation
[tex]20x-8=19x+6[/tex] | Distributive Multiplication over subtract/add
[tex]x=14[/tex] | Subtraction Property of Equality
Answer: x = 14
Definition of Properties:
Distributive Property of Multiplication over subtraction/addition: it says that the product of a number and the difference/adding of two other numbers is equal to the difference/sum between the products of the distributed number.Subtraction Property of Equality: if the same value is subtracted from two equal sides, the differences remain the sameThe graph shows a player’s monthly home run total in two seasons.
a. Find the standard deviation of the scores of the monthly home run totals in the player’s rookie season and interpret the results. Round to the nearest hundredth.
The standard deviation is about __. The typical number of home runs differs from the mean by about __ home runs.
b. Find the standard deviation of the scores of the monthly home run totals in this season and interpret the results. Round to the nearest hundredth.
The standard deviation is about __
The typical number of home runs differs from the mean by about __ home runs.
a) standard deviation of the scores of the monthly home run totals in the player’s rookie season will be 1.29
b) The standard deviation of the scores of the monthly home run totals in this season will be 2.738
What is standard deviation?Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
a)The standard deviation of the scores of the monthly home run totals in the player’s rookie season:-
The data from the graph will be
1,0,6,2,0,2
Standard deviation is calculated as:-
[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]
[tex]\mu = \dfrac{1+0+6+2+0+3}{6}=2[/tex]
Putting the values we get
[tex]\sigma = \dfrac{\sqrt{(1-2)^2+(0-2)^2+(2-2)^2+(0-2)^2+(3-2)^2}}{6}}=1.29[/tex]
Hence standard deviation is 1.29
b)The standard deviation of the scores of the monthly home run totals in this season
The data from the graph will be
4,6,4,8,7,13
Standard deviation is calculated as:-
[tex]\sigma = \dfrac{\sqrt{\sum(x-\mu)^2}}{N}}[/tex]
[tex]\mu = \dfrac{4+6+4+8+7+13}{6}=7[/tex]
Putting the values we get
[tex]\sigma = \dfrac{\sqrt{(4-7)^2+(6-7)^2+(4-7)^2+(8-7)^2+(7-7)^2+(7-13)^2}}{6}}=2.738[/tex]
Hence standard deviation is 2.738
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What is the rule for the following sequence of numbers: 2, 7, 17, 37, ?
Answer:
The rule is "add 5, add 10, add 20" and the rule keeps doubling.
15. Factor
please help :)
Answer:
(8w + 7)(7w + 9)
Step-by-step explanation:
56w² + 121w + 63
consider the factors of the product of the coefficient of the w² term and the constant term which sum to give the coefficient of the w- term
product = 56 × 63 = 3528 and sum = 121
After much trial and error the factors are + 49 and + 72
use these factors to split the w- term
56w² + 49w + 72w + 63 ( factor first/second and third/fourth terms )
= 7w(8w + 7) + 9(8w + 7) ← factor out (8w + 7) from each term
= (8w + 7)(7w + 9) ← in factored form
2. Find the variation constant and an equation of variation where y varies inversely as x and y=9 when x=2.
Answer: y=108
Step-by-step explanation:
Answer:
k = 4.5
y = 4.5x
Step-by-step explanation:
Finding the variation constant, k :
k = y/xk = 9/2k = 4.5Equation of variation :
y = kxy = 4.5x