Answer:
Multiply those side lengths using the F.O.I.L method (first-outer-inner-last). Write it longhand then simplify if that’s what is needed.
(x+5)(x-5) = x^2 -5x + 5x -25
the -5x and + 5x cancel each other so it simplifies to x^2 - 25 units squared.
20,10,5, ...
Find the 9th term.
Answer:
0.078125.
Step-by-step explanation:
This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.
nth term = a1 r^(n -1) so here:
9th term = 20(0.5)^(9-1)
= 20(0.5)^8
= 0.078125.
HELP: What is another name for Angle 1?
Answer:
it could be many answers but my guess is acute
Answer:
(3) We can also name an angle by placing any number or symbol at the vertex in the INTERIOR of the angle. So, angles can also be called angle 1 or angle 2 or angle 4, etc. Sides AB and AC of the given angle are actually rays.
Step-by-step explanation:
What is the value of x?
Answer:
20
Step-by-step explanation:
3x=x+40
Because Vertical Angles
2x=40
x=20
I HAVE GOTTEN THE ANSWER
Max made a journey of 700km partly by train and partly by bus.He started his journey at 8.00am. by train which travelled at 50km/hr. After alighting from the train, he took a lunch break of 30 minutes. He then continued his journey by bus which travelled at 75km/hr.The whole journey took 11.75hours. Determine the distance travelled by bus.
so this is the answer
time taken by the train=x
time taken by the bus=y
subtract 30 minutes from the total time taken..hence x+y=10.75
form an equation
x+y=10.75
50x+75y=700
y=6.5
75×6.5=487.5
Answer:
487.5 km
Step-by-step explanation:
Let :
time taken by the train = xtime taken by the bus = ySolving
Subtract 30 minutes from the total time taken.Hence x + y = 10.75Forming an equation
x + y = 10.7550x + 75y = 700y = 6.575 × 6.5 = 487.5 km20 points
Data from a certain village hospital show that the number of frostbite cases is positively correlated with the number of sledding accidents. Which of the following factors would
best explain why this correlation does not necessarily imply that frostbite is the main cause of sledding accidents?
People with frostbite tend to have more difficulty controlling sleds.
the frostbite cases and sledding accidents were not randomly selected.
The hospital treats more sledding accidents than cases of frostbite.
It is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Answer: it is likely that both the number of frostbite cases and the number of sledding accidents are negatively correlated with temperature.
Step-by-step explanation: I just took the test.
The correct answer is the frostbite cases and sledding accidents were not randomly selected.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
If the data for the number of frostbite cases and sledding accidents were not randomly selected, then the correlation between them might not be valid.
if the data were only collected during a specific time period when sledding was popular and the weather was cold, then the number of frostbite cases and sledding accidents might be higher than normal.
In this case, the correlation might be due to the common factor of cold weather, rather than frostbite causing sledding accidents.
Therefore, it is important to consider the methodology of the study and the factors that might influence the correlation between frostbite cases and sledding accidents before concluding that frostbite is the main cause of sledding accidents
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#SPJ2
(-2)-(3)+(+5)
por favor e pra hj,amanha vou ter aula cedo
Answer:
0
Step-by-step explanation:
-2-3+5
-5+5
0
What is the standard form of the equation of a circle given by x2 y2 – 18x 8y 5 = 0? ( )² ( )² =
The standard form of the given equation [tex]x^2+y^2-18x+8y+5=0[/tex] will be given as [tex](x-9^2)+(y+4)^2=(2\sqrt{23} )^2[/tex]
What is the equation of a circle?The general form of the equation of the circle is given as
[tex](x-h)^2+(y-k)^2=r^2[/tex]
We have the equation
[tex]x^2+y^2-18x+8y+5=0[/tex]
By adding 81 and 16 on both sides
[tex]x^2-18x+81+y^2+8y+16=-5+81+16[/tex]
[tex](x-9)^2+(y+4)^2=92[/tex]
[tex](x-9)^2+(y+4)^2=(2\sqrt{23})^2[/tex]
Thus the standard form of the given equation [tex]x^2+y^2-18x+8y+5=0[/tex] will be given as [tex](x-9^2)+(y+4)^2=(2\sqrt{23} )^2[/tex]
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Answer:
x-9, y+4, & 92
Step-by-step explanation:
i did it
please help i am confused
Answer:
The last answer.
Step-by-step explanation:
Regular means all the side lenghts are the same and all the interior angle measures are the same. Think a stop sign.
Irregular polygons have different side lengths and different interior angle measures.
If someone has 8 fl. oz. of 16% wine, how many standard drinks has that person consumed?
Answer must be a number below 6
Answer:
2.1 standard drinks
(or 2 if you need to round to the nearest whole number)
Step-by-step explanation:
The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.
So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.
Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).
One standard drink ≈ 0.6 fl oz pure alcohol
To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:
1.28 ÷ 0.6 = 2.1
Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.
Look at the photo attached
Answer:
Step-by-step explanation:
A = true
D = true
Consider the division statement 1/4 divided by 7/16
Answer:
4/7
Step-by-step explanation:
1/4 divided by 7/16 is the same thing as 1/4 * 16/7. Multiply this and you will get the fraction of 16/28. Once simplified, this comes out to be 4/7.
Help asap
photo attached
the function f has a continuous derivative. if f(0) = 1, f(2) = 5 and integral from 0 to 2 f(x) dx = 7, what is integral from 0 to 2 x • f’(x) dx?
a. 3
b. 6
c. 10
d. 17
No photo attached, but no need.
We're given that f(0) = 1 and f(2) = 5, and that
[tex]\displaystyle \int_0^2 f(x) \, dx = 7[/tex]
Integrate x f'(x) by parts, with
[tex]u = x \implies du = dx[/tex]
[tex]dv = f'(x) \, dx \implies v = f(x)[/tex]
Then
[tex]\displaystyle \int_0^2 x f'(x) \, dx = uv\bigg|_{x=0}^{x=2} - \int_0^2 v \, du \\\\ = x f(x) \bigg|_{x=0}^{x=2} - \int_0^2 f(x) \, dx[/tex]
Now just plug in everything you know:
[tex]\displaystyle \int_0^2 x f'(x) \, dx = 2f(2) - 0f(0) - \int_0^2 f(x) \, dx = 10 - 0 - 7 = \boxed{3}[/tex]
Identify the area of the rhombus.
Answer:
A=130cm2
Step-by-step explanation:
13x10=130
How many 1/6 pound servings are there in 4/5 of a pound of chicken?
Answer: [tex]4\frac{4}{5}[/tex]
Step-by-step explanation:
To see how many [tex]\frac{1}{6}[/tex] pound servings are in [tex]\frac{4}{5}[/tex] of a pound of chicken we must divide [tex]\frac{4}{5}[/tex] by [tex]\frac{1}{6}[/tex]
[tex]\frac{4}{5}[/tex]÷[tex]\frac{1}{6}[/tex]
When dividing by a fraction you can take the reciprocal (flip the numerator and denominator) and you can multiply instead of dividing
[tex]\frac{4}{5}[/tex]×[tex]\frac{6}{1}[/tex]=[tex]\frac{24}{5}[/tex]=[tex]4 \frac{4}{5}[/tex]
Answer:
24/5, or 4.8, servings
Step-by-step explanation:
Let s represent the number of servings. We have:
[tex] \frac{1}{6} s = \frac{4}{5} [/tex]
[tex]s = \frac{24}{5} = 4.8[/tex]
WILL GIVE BRAINLIEST ANSWER.
A soda can holds 235.5 in^3 of liquid. If the can is 5 inches tall, what is the distance across the top of the soda can?
Answer:
7.744
Step-by-step explanation:
For this problem you have to work backwards
The equation for the volume is V = (area of circle) x height
So here, to solve the area of the circle, you need to divide the 235.5 by 5
So:
235.5 = (area of circle) x 5
Area of circle is 47.1
Then, you need to find the radius of the circle by using this equation for the area of a circle
[tex]A = \pi \cdot r^{2}[/tex]
So:
47.1 = π * [tex]r^{2}[/tex]
r = 3.872
This question is asking for the diameter, which is double the radius,
2 x 3.872 = 7.744
Find the value of the unknown angle x.
The diagram is not drawn to scale.
Please answer. Thank you!
Answer:
x = 40°Step-by-step explanation:
This is a quadrilateral. A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices.
The interior angles of a simple quadrilateral ABCD add up to 360 degrees of arc.
Answer:
Angle x = 40°
Step-by-step explanation:
All angles of any quadrilateral sum up to 360°.
So here, already measure of 3 angles are given.
So if we add up all angles + Angle x then it sums up to 360°.
So, the following steps will lead you to the answer:
73° + 157° + 90° + Angle x = 360°
(Now add up the measure of the three given angles)
320° + Angle x = 360°
(Now, through transposition moves 320° to the RHS) (Remember when transposing the signs change)
Angle x = 360° - 320°
Finally,
Angle x = 40°
Hope it helps!!!
Consider the following initial-value problem. Y'' − 5y' = 8e4t − 4e−t, y(0) = 1, y'(0) = −1 find ℒ{f(t)}, for f(t) = 8e4t − 4e−t. (write your answer as a function of s. )
The Laplace transform of the non-homogeneous second order differential equation is [tex]\mathcal {L} \{f(t)\} = \frac{4\cdot (s+6)}{s\cdot (s-4)\cdot (s+1)\cdot (s-5)} +\frac{1}{s} -\frac{1}{s\cdot (s-5)}[/tex].
How to determine the Laplace transform of a non-homogeneous second order differential equationA Laplace transform is a frequency-based algebraic substitution method used to determine the solutions of differential equations in a quick and efficient manner.
In this question we shall use the following Laplace transforms:
[tex]\mathcal {L} \{f(t) + g(t)\} = \mathcal {L} \{f(t)\} + \mathcal {L}\{g(t)\}[/tex] (1)
[tex]\mathcal {L} \{\alpha\cdot f(t)\} = \alpha\cdot \mathcal {L} \{f(t)\}[/tex] (2)
[tex]\mathcal{L} \left\{y^{(n)} \right\} = s^{n}\cdot \matcal {L}\{f(t)\}-s^{n-1}\cdot y(0) -...-y^{(n)}(0)[/tex] (3)
[tex]\mathcal {L} \{e^{-a\cdot t}\} = \frac{1}{s+a}[/tex] (4)
Now we proceed to derive an expression fo the Laplace transform of the solution of the differential equation:
[tex]y'' -5\cdot y' = 8\cdot e^{4\cdot t}-4\cdot e^{-t}[/tex]
[tex]s^{2}\cdot \mathcal {L}\{f(t)\}-5\cdot y(0) - y'(0) - 5\cdot s \cdot \mathcal {L} \{f(t)\} +5\cdot y(0) = \frac{8}{s-4}-\frac{4}{s+1}[/tex]
[tex]\mathcal {L} \{f(t)\} = \frac{4\cdot (s+6)}{s\cdot (s-4)\cdot (s+1)\cdot (s-5)} +\frac{1}{s} -\frac{1}{s\cdot (s-5)}[/tex]
The Laplace transform of the non-homogeneous second order differential equation is [tex]\mathcal {L} \{f(t)\} = \frac{4\cdot (s+6)}{s\cdot (s-4)\cdot (s+1)\cdot (s-5)} +\frac{1}{s} -\frac{1}{s\cdot (s-5)}[/tex]. [tex]\blacksquare[/tex]
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The Laplace transform Y'' − 5y' = 8e4t − 4e−t when y(0) = 1, y'(0) = −1 for f(t) = 8e4t − 4e−t would be [tex]\frac{4(s+6)}{s.(s-4)(s+1).(s-5)} + \frac{1}{s} - \frac{1}{s.(s-5)}[/tex].
What is Laplace transform?A Laplace transform is a frequency-based algebraic substitution method used to determine the solutions of differential equations quickly and efficiently.
The Laplace transform
L[ f(t) + g(t) ] = Lf(t) + Lg(t)
Also,
L [[tex]y^{n}[/tex]] = [tex]s^{n} . L[ f(t) ] - s^{n-1} .y(0) .....y^{n}(0)[/tex]
We have
Y'' − 5y' = 8 . e^4t − 4 . e−t
[tex]s^{2} . L[ f(t) ] - 5. y(0)- y'(0) .....y^{n}(0)[/tex]
y(0) = 1, y'(0) = −1
for f(t) = 8e4t − 4e−t.
= [tex]\frac{8}{s-4} - \frac{4}{s+1}[/tex]
L [f(t)] = [tex]\frac{4(s+6)}{s.(s-4)(s+1).(s-5)} + \frac{1}{s} - \frac{1}{s.(s-5)}[/tex]
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Work out the coordinates of the midpoint of MN.
M (-5, 3) N(7, -8)
Answer:
(1, - 2.5 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (M (- 5, 3 ) and (x₂, y₂ ) = N (7, - 8 ) , then
midpoint = ( [tex]\frac{-5+7}{2}[/tex] , [tex]\frac{3-8}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-5}{2}[/tex] ) = ( 1, - 2.5 )
If you can help me that would be great the instructions are to factor these polynomial Don’t answer just to get pointsNO LINKS!!!!!!!!!!!
Answer:
3. 3(x+y)(x-y)
4. (y²+4)(y+2)(y-2)
5. 2(3x+1)(x+2)
Step-by-Step:
3. 3(x²-y²) = 3(x+y)(x-y)
4. y⁴-16 = (y²+4)(y²-4)= (y²+4)(y+2)(y-2)
5. 6x²+14x+4 = 2(3x²+7x+2) = 2(3x+1)(x+2)
PLEASE RATE!!! I hope this helps!!!
If you have any question comment below
(I have verified my answers on an online calculator)
Karissa rides her bicycle for 4 hours and is 22 miles from her house. After riding for 8 hours, she is
42 miles away
What is Karissa's average rate during her trip?
__ miles per hour
Answer:
5.5
Step-by-step explanation:
We nned to divide to solve this!!
22/4 = 5.5
She is going 5.5 mph!!
Have an amazing day!!
Please rate and mark brainliest!!!!
What value of k make the equation 7(14k + 15) -7 = 19k + 6 (-13 + 15k) true?
A. -5
B. -9
C. 16
D. 25
Ex 65 : Étagères , merci d’ avance
Answer:
Voir ci-dessous.
Step-by-step explanation:
1.
OA/OD = 36/64 = 9/16
OB/OC = 27/48 = 9/16
m<AOB = m<COD
triangle AOB ~ trianlge DOC
m<BAO = m<CDO
AB || CD
2.
AB/CD = OA/OD
AB/80 = 36/64
AB/80 = 9/16
16AB = 9 × 80
AB = 9 × 5
AB = 45
AB = 45 cm
3.
AB = 45
BC = OC + OB = 48 + 27 = 75
AB² + AC² = BC²
45² + AC² = 75²
AC² = 5625 - 2025
AC = √3600
AC = 60 cm
hauteur = 5 × 2 cm + 4 × 60 cm
hauteur = 10 cm + 240 cm
hauteur = 250 cm
The circumference of a compact disc is 28.26 centimeters. If the diameter of the
compact disc is 9 centimeters, which of the following best describes n?
Answer:
Step-by-step explanation:
where is the full question????
What is the value of ice cream and coffee?
Answer:
ice cream 3
coffee 5
................
Answer:
coffee is $5 each and $3 for ice cream
Step-by-step explanation:
The length, breadth and height of room are in the ratio of 5:3:1 and the room contains 960m³ of air . What is the cost of plastering its walls, floor and ceiling at Rs. 30 per m²?
Answer:
Rs. 22,080.
Step-by-step explanation:
Let the height be x m then the breadth is 3x and the length 5x m.
x * 3x * 5x = 960
15x^3 = 960
x^3 = 64
x = ∛ 64 = 4m.
Therefore the height is 4m, the breadth = 12 m and the length = 20m.
So the area of all the surfaces
= 2 * short wall + 2 * long wall + floor + ceiling
= 2 *4*12 + 2*4*20 + 12*20 + 12*20
= 96 + 160 + 240 + 240
= 736 m^2.
Cost plastering = 736 * 30 = Rs. 22,080
If f(x)=2x - 4, then f(-3)=?
Answer: f(-3) = -10
Step-by-step explanation:
[tex]Substitute \ $x=-3$\\\\$$\begin{aligned}&f(3)=2(-3)-4 \\&f(3)=-6-4 \\&f(3)=-10\end{aligned}$$[/tex]
Guys can you help me with this please
Answer:
AC=18.1cm
Step-by-step explanation:
When we subtract 11-4=7cm we get one cathetus of the right triangle a=7cm also we know hypotenuse which is c=16cm.
We will use Pythagorean theorem to find the second cathetus b
b=√16∧2-7∧2= √256-49= √207 ≈ 14.39cm =DC =>
AC =√(DC)∧2+(AD)∧2= √14.39∧2+11∧2= √207+121= √328= 18.1cm
AC=18.1cm
A middle school took all of its 6th grade students on a field trip to see a ballet. The
students filled 702 seats, leaving 35% vacant. How many total seats were in the
theater?
By working with percentages, we will see that there are 1,080 seats in the theater.
How many total seats were in the theater?
We know that the students filled 702 seats, leaving 35% vacant.
Then 702 seats represents the (100% - 35% = 65%) of the total number of seats.
So, if the total number of seats is S, we can write:
(65%/100%)*S as the 65% of S.
Then we solve:
(65%/100%)*S = 702
0.65*S = 702
S = 702/0.65 = 1,080
There are 1,080 seats in the theater.
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The following structure is composed of three right rectangular prisms: two that each measure 12 inches by 10 inches by 5 inches and one right rectangular prism that measures 10 inches by 8 inches by 36 inches. What is the total volume of the structure? Show your work and/or explain your reasoning..
The volume of the stucture made from three rectangular prism is 4080 ft³
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the rectangular prism = length * width * height = 12 * 10 * 5 = 600 ft³
The volume of the other prism = length * width * height = 10 * 8 * 36 = 2880 ft³
Volume of the structure = 600 ft³ + 600 ft³ + 2880 ft³ = 4080 ft³
The volume of the stucture made from three rectangular prism is 4080 ft³
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Why every values in maths has an approximation ?
( Example : The value of π,... )
Answer:
Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.
Answer:
Approximating has always been an important process in the experimental sciences and engineering, in part because it is impossible to make perfectly accurate measurements. Approximation also arises because some numbers can never be expressed completely in decimal notation. In these cases approximations are used.
Step-by-step explanation: