Answer:
x2+y2-x
Step-by-step explanation:
subtract like terms.
The required equivalent expression is [tex]x^2+y^2-x[/tex].
Important information:
The given expression is [tex](3x^2+2y^2-3x)-(2x^2+y^2-2x)[/tex].Equivalent expression:The given expression can be written as:
[tex]3x^2+2y^2-3x-2x^2-y^2+2x[/tex]
Combining like terms, we get
[tex](3x^2-2x^2)+(2y^2-y^2)+(-3x+2x)[/tex]
On simplification, we get
[tex]x^2+y^2-x[/tex]
Therefore, the required equivalent expression is [tex]x^2+y^2-x[/tex].
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22.
In the figure, m29 = 80 and m25 = 68. Find the measure
of each angle. Tell
b. 21
a. 212
1
413
80
9 10
1211
→
-P
185.6
817
13/14
16115
c. 24
68
d. 23
Step-by-step explanation:
This is the correct answer Step-by-step
I hope you understand...
Find The Area Of the Figure Use 3.14 for π
Explanation:
The diameter of the semicircle is 6 inches, which divides in half to the radius of r = 3 inches.
Area of semicircle = 0.5*pi*r^2 = 0.5*3.14*3^2 = 14.13Area of triangle = 0.5*base*height = 0.5*7*6 = 21Add the two sub-areas to get the total area.
14.13 + 21 = 35.13 square inches
This answer is approximate since pi = 3.14 is approximate.
The Benjamin Sheares Bridge is 1.8km long and the Esplanade Bridge is 260m long. (a) How long is the Benjamin Sheares Bridge in metros? (b) What is the difference in length between the two bridges? Give your answer in metres .
Answer:
(a) 1800m
(b) 1540
Step-by-step explanation:
(a)
1km = 1000m
1.8km = ?
1.8 x 1000 = 1800m
(b)
Benjamin Sheares Bridge is 1.8km = 1800m (in meters)
Esplanade Bridge is 260m
difference in length in meters = 1800m - 260m = 1540m
Hope it helps
Elena received a 25 dollar gift card to a fun center she drives a race car which costs 0.75 she also wants to use the grift card to play games each game costs 0.75 which of these inequalities describes this situation where n is is the number of games Elena wants to play ? A B C D WHICH ONE IS THE ANSWER I NEED HELP QUICK
Express 250 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
2,5,5,5
Step-by-step explanation:
50×5=2×5×5×5
b) Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.
Answer:2*2*3*3
Step-by-step explanation:
three cans of beans and five cans of soup weigh 700g.
four cans of beans weigh 300g.
what is thr weight of five cans of beans and three cans of soup?.
Answer:
660g
Step-by-step explanation:
take bean can as b and soup can as c
3b+5c=700
4b=300 therefore b=75
3b+5c=700 is 3(75)+5c=700
225+5c=700
5c=475
c=95
5×75+3×95
660
What is the solution to the system?
(-19/2,-5)
(-5,-19/2)
(-15/2,-11/3)
(-19/10,1/15)
Answer: (-19/2,-5)
Explanation: just did the instructions (answer go edg 2020)
Answer:
Step-by-step explanation:
alr so you have to mutiply the ngitive 19 after u get the answer of 2 times negitive fiveafter you get tHATt u will have ur answer as long as you follow my steps u got that.
Answer: A ) -19/2 , -5
Step-by-step explanation:
Two water tanks are shown. Tank A is a rectangular prism and Tank B is a triangular prism. Tank A is filled with water to the 6-meter mark. Some of the water from Tank A is being transferred to Tank B so that the water level in Tank A is at 2 meters. Shade the amount of water in Tank B to indicate the approximate height of the water in Tank B after the transfer. Also write the height, to the nearest whole number of meters, in the space provided.
The height of the prism that's depicted in the water tank will be 8m.
How to calculate the height of the prism?The area of the base of the triangular prism will be calculated thus:
= 1/2 × 4 × 9
= 18m²
The volume of water removed from the rectangular tank will be:
= (6 × 6) × 4
= 144m³
Therefore, the height will be calculated thus:
18 × h = 144
18h = 144
h = 144/18
h = 8m
Therefore, the height is 8m.
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given tan a =3/7 find sin c
The value of sin c is 7/7.6.
Sides of the right triangle
The three sides of the right triangle is calculated as follows;
tan a = opposite / adjacent side
Length BC = opposite side = 3
Length AB = adjacent side = 7
Length ACThe hypotenuse side of the right triangle is calculated as follows;
AC² = 3² + 7²
AC = √(3² + 7²)
AC = 7.6
Sin c = |AB| / AC
sin c = 7/7.6
sin c = 0.92
Thus, the value of sin c is 7/7.6.
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A triangle,ABC , has angle measures of 40, 40, 100 and and exactly two congruent (equal) sides. How would this triangle be classified?
Answer:
Step-by-step explanation:
Isosceles Obtuse.
It is obtuse because the largest angle is over 90.
It is Isosceles because the two base angles are equal.
If you get it wrong, it is because the question assumes that the two base angles are acute (which they are) but for this question I think you are referring to the lone angle at the top.
If a = b + c and c__0, then a> b. Choose the relationship symbol that makes a true statement.
Answer: equal to
Step-by-step explanation:
If c is zero and b+c=a then b would equal a
4.
When the original members of the Chess Club were joined by four new
members, there were 28 members. Which equation represents this
information? (let n = the original number of members)
A.) n + 4 = 28
B. 4n = 28
C. n - 4 = 28
D. 1
n = 28
4
Answer:
A
Step-by-step explanation:
Basically they are saying that after you ADDED on 4 people it became 28. So in order to get 28 you had to add on 4 to the original number of people. Therefore it is n + 24 = 28
Help meeeeeeeeeeeeeeeeeeeeeeeee
Find side X give answer to 1dp
Answer:
x = 10.8
Step-by-step explanation:
We can use the law of sines to solve this problem
sin A sin B
--------- = ----------
a b
sin 81 sin 40
--------- = ---------
x 7
Using cross products
7 sin 81 = x sin 40
Solving for x
7 sin 81 / sin 40 =x
x=10.75599
Rounding to 1 decimal place
x = 10.8
Find the mathematical model for the following statement. Remember to use k as the constant of proportionality.
P varies directly as the product of I and V.
As P varies directly as the product of I and V it is P = KVT
What is proportion?Proportions are of two types one is the direct proportion in which if a constant k increases one quantity the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if a constant k increases one quantity the quantity will decrease by the same constant k and vice versa.
Given, P varies directly as the product of I and V, therefore if P increases
V or I or V and I will also increase.
We can write this direct proportionality as,
P ∝ VI.
Now to remove the proportionality sign we'll use a constant factor K and an equality sign,
P = KVT.
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A new car is purchased for 18000 dollars. the value of the car depriciates at 13.5% per year. what will the value of the car be, to the nearest cent, after 14 years?
Answer:
The value of the car will be $2,363.19 after 14 years
Step-by-step explanation:
The rule of depreciating is
[tex]A=p(1-r)^{t}[/tex] , where
A is the new valueP is the original valuer is the rate in decimalt is the time in years∵ A new car is purchased for 18000 dollars
∴ P = 18,000
∵ It depreciates at a rate of 13.5% per year
∴ r = 13.5% = 13.5/100 = 0.135
∵ We need to find how much it will be worth after 14 years
∴ t = 14
→ Substitute all of these values in the rule above to find A
∵ [tex]A=18000(1-0.135)^{14}[/tex]
→ Use your calculator to find the answer
∴ A = 2,363.186569
→ Round it to the nearest cent (2d.p.)
∴ A = 2,363.19
∴ The value of the car will be $2,363.19 after 14 years.
solve the system by substitution y=7x+15
y=2x
Answer:
(-3,-6)
Step-by-step explanation:
y=7x+15
y=2x
2x=7x+15
-5x=15
x=-3
y=-6
The value of Yong's investment account increases at a rate that is proportional at any time to the value of the account at that time.
Her account was worth $2000 initially, and it increases by 10%, percent every 4 years.
What is the value of Yong's investment account after 7 years?
Choose 1 answer:
(A) $2036
(B) $2350
(C) $2363
Using an exponential function, it is found that the value of Yong's investment account after 7 years is given by:
(C) $2363
What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.Her account was worth $2000 initially, and it increases by 10%, percent every 4 years, hence, it is modeled by:
[tex]y(t) = 2000(1.1)^{\frac{t}{4}}[/tex]
After 7 years, the amount is:
[tex]y(7) = 2000(1.1)^{\frac{7}{4}} = 2363[/tex]
Hence option C is correct.
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what is mode and median
Answer: The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list. Your welcome <3
Can someone please help me find the domain and rage of this graph? PLEASE HURRY!!!
Answer:
domain; 5
Range; -2
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenth place.
6 9
Answer: 68.1
Step-by-step explanation:
The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:
[tex]Area=\pi r^2/2[/tex]
[tex]Area=\pi (3)^2/2=9\pi /2[/tex]
The area of a rectangle is the length multiplied by the width:
[tex]Area=l*w[/tex]
[tex]Area=6*9=54[/tex]
The net area is the sum of the rectangle and the semi-circle:
[tex]Area=(9\pi /2)+(54)=68.1[/tex]
For rectangle
Area:-
Length ×Breadth9(6)54units^2For semicircle
Radius=6/2=3Area:
πr^2/29π/24.5π14.13units^2Total:-
54+14.1368.13units^2What is the midpoint of H( 0, 0) and X(8, 6)
Answer:
The midpoint is (4, 3).
Step-by-step explanation:
to get the midpoint (x1+x2/2, y1+y2/2)
(0+8/2, 0+6/2)
(4, 3)
what expression is equivalent to -8.2-5?
The equivalent of the given expression -8.2-5 is -13.2.
What is an expression?It is a sentence with a minimum of two numbers or variables and at least one math operation.
The given expression is -8.2-5.
Its simplified value is -13.2.
Hence, the equivalent expression is negative 13.2.
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In a plane, the lengths of line segments AB, BC, and CD are 3, 5, and 1. If m represents the greatest possible length of line segment AD, and p represents the least possible length of line segment AD, what is the value of m-p?
A. 5
B. 6
C. 7
D. 8
E. 9
If [m] represents the greatest possible length of line segment AD, and [p] represents the least possible length of line segment AD, than the value of [m - p] will be 2.84.
What is congruency? What is the general equation of a straight line? What is triangle? What are parallel lines?In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. The general equation of a straight line is : y = mx + cwhere : [m] → is slope of line and [c] → is the y - intercept
A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically : ∠x + ∠y + ∠z = 180°. There are different types of triangles such as : equilateral triangle , scalene triangle , isosceles triangle etc.Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions. These lines have same slope.We have in a plane, the lengths of line segments AB, BC, and CD are 3, 5, and 1.
Using the Pythagoras theorem, the length of side AC will be -
AC² = AB² + BC²
AC² = 9 + 25
AC² = 34
AC = √34
Also, we can write, the sum of two sides of a triangle is greater than the third side. So, in triangle ACD, we can write -
1 + √34 > AD
AD + √34 > 1
AD + 1 > √34
AD[min] = √34 - 1 = 4.84
AD[max] = √34 + 1 = 6.84
So -
m - p = 2.84
Therefore, if [m] represents the greatest possible length of line segment AD, and [p] represents the least possible length of line segment AD, than the value of [m - p] will be 2.84.
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What is the surface area of the cube?
Answer:
294mm
Step-by-step explanation:
The surface area of each side is 7mm x 7mm. 7•7 = 49
There are 6 sides on a cube, so just multiply 49 times 6.
49•6= 294 mm
Which set of terms has 8 as their GCF?
Someone help please
Answer:
80, 56, 24 i think
Step-by-step explanation:
80, 56, 24
some of them have 8 as a gcf but not all three of them. the last one is the only one where all the terms has 8 as a gcf. (even though when you divide 80 by 8 its 10 and it can still be divided)
Answer:
d. 80, 56, 24
Step-by-step explanation:
the greatest common factor of all three of these is 8
Please help me with my homework
Answer:
Step-by-step explanation:
19: C
20: C
21: if WXY = 62 => since WXY = WXZ + ZWY
62 = 7x + 2 + 3x
62 = 10x + 2
62 - 2 = 10x
60 = 10x
60 : 10 = x
6 = x (A)
22: WXZ = 7x + 2 => WXZ = 7 * 6 + 2 = 42 + 2 = 44 => WXZ = 44 (B)
23:ZWY = 3x => ZWY = 3 * 6 = 18 => ZWY = 18 (A)
hope I helped you :)
The record high January temperature in Coppell, Texas, is 85 °F. The record low January
temperature is -3 °F. Find the difference between the high and low temperatures.
Answer:
88 °F
Step-by-step explanation:
85 - (-3) = 88 degrees
Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2.9. what is the margin of error, assuming a 90% confidence level? round your answer to the nearest tenth.
The Margin of error is 0.3 when assuming a 90% confidence level.
It is given that among 320 randomly selected airline travelers, the mean number of hours spent traveling per year is 24 hours and the standard deviation is 2.9.
It is required to find the margin of error when the confidence level is 90%.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
[tex]\rm MOE= Z_{score}\times\frac{s}{\sqrt{n}}[/tex]
Where [tex]\rm Z_{score}[/tex] is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
We have in the question:
[tex]\rm Z_{score}[/tex] at 90% confidence interval = 1.645 (From the Z score table)
s = 2.9
n = 320
Put the above values in the formula, we get:
[tex]\rm MOE= 1.645\times\frac{2.9}{\sqrt{320}}[/tex]
MOE = 0.2666
Rounding the nearest tenth:
MOE = 0.3
Thus, The Margin of error is 0.3 when assuming a 90% confidence level.
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Answer:
0.3
Step-by-step explanation:
edg