Answer:
B
Step-by-step explanation:
It's a 4 sided polygon, so it's sum of interior angle will be 360. 120+y+85+53=360. y=102
state the dimensions of the matrix. identify the indicated element
Answer:
A
Step-by-step explanation:
In a matrix we go by row, then column so 2 rows and 3 columns
HURRYYY please pleaseee
Please help me with question a), b) and c). I have been trying for so long. (Show working), thank you.
Answer:
b)48 km/hr (12 km in .25 hrs)
c) avg speed: 60/3 = 20 km/hr
Step-by-step explanation:
a)
.5 18
.75 18
1 30
1.5 30
2 40
2.25 40
3 60
Given the circle with equation x+ y =17
a). Determine if the points D(-4, -1) and E(1, 4) are on the circle. Show all work
b). Find the equation of the perpendicular bisector of the chord DE
c). Verify that the perpendicular bisector from part b) passes through the center of the circle
Answer:
Step-by-step explanation:
x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be
x^2 + y^2 = 17.
:::::
Plug the coordinates of D into the equation.
(-4)² + (-1)² = 17, so D is on the circle.
Plug the coordinates of E into the equation.
1² + 4² = 17, so E is on the circle.
:::::
Slope of DE = (-1 - 4)/(-4 - 1) = 1
Slope of perpendicular to DE is -1.
Midpoint of DE: ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)
Point-slope equation for perpendicular bisector:
y-1.5 = -(x+1.5)
y = -x
:::::
Center of circle is (0,0)
0 = -0, so y=-x passes through the center.
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.
What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs
Answer:
usual number of yellow eggs = 12
Usual maximum = 21
Usual minimum = 3
Step-by-step explanation:
To solve this, we will use the expected value of a binomial probability.
The formula is;
E(X) = np
Where;
n is sample size
p is probability of success.
We are given;
n = 58
p = 21%
Thus;
usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12
From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.
Thus;
USL = n(p + 3√(p(1 - p)/n)
USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)
USL = 21.48 ≈ 21
LSL = n(p - 3√(p(1 - p)/n)
LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)
LSL = 2.87 ≈ 3
On an electricity bill of $40.80, Mrs.
Miller pays only $38.76 because she pays
before a certain date. What percent
discount is Mrs. Miller allowed?
Answer:
100%_$40.80
? × _$38.76
Step-by-step explanation:
100%×$38.76÷$40.80=95%
Answer:
40.80
Step-by-step explanation:
Solve The Inequality
Answer:
B
Step-by-step explanation:
I just solved it now
you are welcome
Answer:
x∈[13,+∞]
Step-by-step explanation:
x≥13
solution region of inequalities x≥ 0 and y≤0 lies in which quadrant?
9514 1404 393
Answer:
IV
Step-by-step explanation:
x > 0 in quadrants I and IV.
y > 0 in quadrants I and II.
The quadrant in which x > 0 and y < 0 is quadrant IV.
_____
The axes, x=0 or y=0, are in no particular quadrant. They are the boundaries between quadrants.
the line I is a tangent to the circle x^2+y^2=50 at the point A. A is the point (1,7). the line crosses the x axis at the point p. work out the area of triangle oap 
Answer:
what do you need help with
Step-by-step explanation:
How bad is my friend’s handwriting
Rate from 1-10
Answer:
6
Step-by-step explanation:
Not bad, i can read it. Mines worse xd
Please help me with this
Answer:
A
Step-by-step explanation:
first answer gets marked brainliest!!!
Answer:
in neighbourhood q the total number of people in the nine families I higher than that in neighbourhood s because of we add up the number of people in the families in neighbourhood q we get a total of 35 yet we have a total of only 27 people in the nine families in neighbourhood s
hope that helps ❤
Help me plz I need help
Answer:
x = 14°
Step-by-step explanation:
x + 76° = 90°
or, x = 90° - 76°
so, x = 14°
What is the equation of the line that passes through (4, -1) and (-2, 3)?
2 x + 3 y - 5 = 0
-2 x + 3 y - 5 = 0
2 x - 3 y - 5 = 0
Answer:
2x + 3y - 5 = 0
Step-by-step explanation:
(4 , -1) & (-2,3)
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\=\frac{3-[-1]}{-2-4}\\\\=\frac{3+1}{-6}\\\\=\frac{4}{-6}\\\\=\frac{-2}{3}[/tex]
m = -2/3; (4 , -1)
y - y1 = m(x - x1)
[tex]y - [-1]= \frac{-2}{3}(x-4)\\\\y + 1 =\frac{-2}{3}x -4*\frac{-2}{3}\\\\y + 1 =\frac{-2}{3}x+\frac{8}{3}[/tex]
Multiply the equation by 3
3y + 3 = -2x + 8
3y = -2x + 8 - 3
3y = -2x + 5
2x + 3y - 5 = 0
the volume of metal in a scale model of a metal high tension tower is 54 cm cubed. The scale used was 1:50. it required 50 mm of paint to give the model one coat. what volume of metal would be required to build the high tension Tower
Answer:
6,750,000 cm³ = 6.75 m³
Step-by-step explanation:
a scale version means that the ratio of every dimension of scale vs. real object is 1/50.
volume is created by multiplying 3 dimensions.
so, going from scaling to real the volume has to be multiplied by 50×50×50 = 50³ = 125000
so, as for the scale model we needed 54 cm³, for the full size object we need 54×125000 = 6,750,000 cm³ of metal.
or to bring it to m³ (1m³ = 100×100×100 cm = 1000000 cm³)
that would be 6.75 m³ of metal.
Simplify the expression to lowest terms.
4x2-9/2 x2 + 11 x +12
What is the 8th term of the binomial expansion (x + y) ^10?
Select the correct answer.
A. 120x^7y^3
B. 720x^7y^3
C. 720x^3y^7
D. 120 x^3y^7
Answer:
It is Option D. 120 x^3 y^7
Option D is correct i.e. the eighth term of the given expansion is [tex]120x^{3} y^{7}[/tex].
What is binomial theorem?The Binomial Theorem is the method of expanding an expression that has been raised to any finite power.
Binomial expressionA binomial expression is an algebraic expression that contains two dissimilar terms .
Formula for finding the general term in binomial expansion[tex]T_{r+1} =nC_{r} x^{n-r} y^{r}[/tex]
According to the given question
We have,
The binomial expansion [tex](x+y)^{10}[/tex]
Therefore,
The eighth term of the given binomial expansion is given by
[tex]T_{7+1} = 10C_7x^{10-7} y^{7} \\T_{8} = \frac{10!}{7!3!} x^{3} y^{7}[/tex]
[tex]T_{8} = \frac{(10)(9)(8)(7!)}{7!(3)(2)(1)} x^{3} y^{7}[/tex]
[tex]T_{8} = 120x^{3} y^{7}[/tex]
Hence, option D is correct. i.e. the eighth term of the given expansion is [tex]120x^{3}y^{7}[/tex].
Learn more about the binomial expansion here:
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(1 / 7 - 4√3)^3 + (1 / 7 + 4√3)^3
Given:
The expression is:
[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]
To find:
The simplified form of the given expression.
Solution:
Formulae used:
[tex](a-b)^3=a^3-3a^2b+3ab^2-b^3[/tex]
[tex](a-b)^3=a^3+3a^2b+3ab^2+b^3[/tex]
Adding this formulae, we get
[tex](a-b)^3+(a+b)^3=2a^3+6ab^2[/tex] ...(i)
We have,
[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]
Using formula (i), the given expression can be written as:
[tex]=2\left(\dfrac{1}{7}\right)^3+6\left(\dfrac{1}{7}\right)\left(4\sqrt{3}\right)^2[/tex]
[tex]=2\times \dfrac{1}{343}+6\left(\dfrac{1}{7}\right)48[/tex]
[tex]=\dfrac{2}{343}+\dfrac{288}{7}[/tex]
[tex]=\dfrac{2+14112}{343}[/tex]
[tex]=\dfrac{14114}{343}[/tex]
Therefore, the simplified form of the given expression is [tex]\dfrac{14114}{343}[/tex].
Mark and Allen were assigned the same book to read for class. Mark started reading on Saturday , and he is reading 40 pages per day. Allen didn't start until Sunday , but he is still reading 45 pages a day.
How many days will it take Allen to catch up to Mark, and how many pages will they each have read?
Let x represent the number of days Allen has been reading.
Given:
Mark started reading on Saturday , and he is reading 40 pages per day.
Allen didn't start until Sunday , but he is still reading 45 pages a day.
To find:
How many days will it take Allen to catch up to Mark, and how many pages will they each have read?
Solution:
Let [tex]x[/tex] represent the number of days Allen has been reading. Then the number of days Mark has been reading is [tex](x+1)[/tex].
Mark is reading 40 pages per day. So, he will read [tex]40(x+1)[/tex] pages.
Allen is reading 45 pages a day. So, he will read [tex]45x[/tex] pages.
Allen catch up to Mark when they read equal number of pages.
[tex]40(x+1)=45x[/tex]
[tex]40x+40=45x[/tex]
[tex]40=45x-40x[/tex]
[tex]40=5x[/tex]
Divide both sides by 5.
[tex]\dfrac{40}{5}=\dfrac{5x}{5}[/tex]
[tex]8=x[/tex]
In 8 days Allen will catch up to Mark.
[tex]45x=45(8)[/tex]
[tex]45x=360[/tex]
Therefore, they each have read 360 pages.
What number should be added to both sides of the equation to complete the square?
X^2+126= 11
Answer:
126/2 = 63^2
Step-by-step explanation:
HELP QUICK PLEASE!
Which additional information would suffice to prove AJKM AKIL by Side-Angle-Side?
O MK LJ
O MJ | LK
O ZJMKZKLJ
O ZJKM ZKIL
Answer: MK is congruent to LJ
Step-by-step explanation: If the legs of the triangle are equal then that must mean the hypotenuses are as well.
A company claims that its tablet computers have an average recharge time of 3 hours. In a random sample of these computers, the average recharge time is 2.5 hours. You suspect that the average recharge time might be less than what the company claims. Let µ represent the average time, in hours, needed to recharge the company's tablet computers.
What is the alternative hypothesis for this situation?
DONE | Second option
The alternative hypothesis in this situation is An hypothesis is u < 3.
What is the alternative hyothesis?An hypothesis is a temporary explanation to a phenomena. The explanation is either disproved by carrying out tests. Alternative hypothesis states that there is a relationship between the population parameters.
To learn more about the alternative hypothesis, please check: brainly.com/question/4454077
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Answer:
U=3
Step-by-step explanation:
next - U<3
next - alternative
sugmah
SOMEONE HELP ME PLEASE
Answer:
9/10 or 90 %
Step-by-step explanation:
There are 54+27+5+4 total people = 90
The people with diploma is 54+27 = 81
P (diploma) = number with diploma / total
= 81/90
=9/10
90%
HELPPP ME OUTTTTTT!!!!!!!
Answer:
3/5
Step-by-step explanation:
cos A = adjacent side / hypotenuse in a right triangle
cos A = 24/40
Cos A = 6/10
cos A = 3/5
please help solve this (geometry)
Answer:
∠ 3 = 140°
Step-by-step explanation:
∠ 4 and ∠ 3 are same- side exterior angles and sum to 180° , then
∠ 3 = 180° - ∠ 4 = 180° - 40° = 140°
Which numbers are integers? Check all that apply.
04
-15
-10
2.5
0-4
0.13
ILL GIVE BRAINLIEST
Kevin and Amy are working on an experiment in the
science lab. They start with 2.6 grams of oil and add water
to get exactly 4.32 grams of solution. To find the amount
of water added, they subtract the weight of the oil from the
weight of the solution. Kevin calculates the difference to
be 4.06 grams; Amy calculates it to be 1.72 grams.
Answer:
Amy is right
Step-by-step explanation:
4.32-2.6 = 1.72
Answer:
Amy is correct
Step-by-step explanation:
4.32-2.6 = 1.72
A is 2 times older than B. Identify the appropriate expression.
Answer:
C. 2x
Step-by-step explanation:
Let
B's age = x years
A's age = 2 times older than B
= 2 * x
= 2x years
A's age = 2x years
For instance, if B's age is 17 years
Then,
A's age = 2x
= 2(17)
= 34 years old
which ordered pair is the best estimate for the solution to the system?
Answer:
(-2, 5)
Step-by-step explanation:
Plug each ordered pair in both equations and see if they fit in BOTH equations.
Which is the correct form of the partial fraction decomposition for the expression StartFraction 4 x cubed + 3 x squared Over (x + 1) squared (x squared + 7) squared EndFraction?
Given:
The expression is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
To find:
The correct form of the partial fraction decomposition for the given expression.
Solution:
We have,
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]
By partial fraction decomposition, it can be written as:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{A}{x+1}+\dfrac{B}{(x+1)^2}+\dfrac{Cx+D}{x^2+7}[/tex] ...(i)
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B}{(x+1)^2(x^2+7)}[/tex]
[tex]4x^3+3x^2=(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B[/tex]
[tex]4x^3+3x^2=x^3A+x^3C+x^2A+x^2B+2x^2C+x^2D+7xA+xC+2xD+7A+7B+D[/tex]
[tex]4x^3+3x^2=x^3(A+C)+x^2(A+B+2C+D)+x(7A+C+2D)+7A+7B+D[/tex]
On comparing both sides, we get
[tex]A+C=4[/tex]
[tex]A+B+2C+D=3[/tex]
[tex]7A+C+2D=0[/tex]
[tex]7A+7B+D=0[/tex]
On solving these equations, we get
[tex]A=\dfrac{23}{32},B=-\dfrac{1}{8},C=\dfrac{105}{32},D=-\dfrac{133}{32}[/tex]
Substituting these values in (i), we get
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Therefore, the required partial fraction decomposition is:
[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]
Answer:
A on Edg
Step-by-step explanation:
got it right