Answer:
[tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex]
Step-by-step explanation:
According to the statement, we have the algebraic equation[tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] and we must to rewrite it as a polynomial. Since there are two variables: [tex]a[/tex], [tex]y[/tex], we must observe the following definition of polynomial:
[tex]p(a, y) = \Sigma\limits_{i = 0}^{n} c_{i}\cdot a^{i}\cdot y^{n-i}[/tex] (1)
Where:
[tex]i[/tex] - Index.
[tex]c_{i}[/tex] - i-th Coefficient of the polynomial.
[tex]n[/tex] - Grade of the polynomial.
By means of algebraic handling, we have the following result:
1) [tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] Given
2) [tex]\left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(5\cdot a\cdot y^{2}\right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right) \cdot \left(-\frac{1}{2}\cdot a^{2}\cdot y \right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(-\frac{5}{6}\cdot a^{3}\right)[/tex] Associative and distributive properties/[tex](-a)\cdot b = -a\cdot b[/tex]
3) [tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex] Associative and commutative properties/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of subtraction/[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex]/Result
What is the inter-quartile range of the given data set?
3
6
2
Answer:
IQR = 3
Step-by-step explanation:
That would be 20 - 17, or 3.
consider this equation tan(theta)=-5/3
if theta is an angle in quadrant II what is the value of sin(theta)
Answer:
B 5√34 / 34
Step-by-step explanation:
tan ∅ = opp/adj
In quad II
tan ∅ = 5 / (-3)
---------------------
hyp^2 = 5^2 + (-3)^2
hyp^2 =25 + 9 = 34
hyp = √34
---------------------------
sin ∅ = opp/hyp
sin ∅ = 5/√34
Rationalizing
sin ∅ = 5√34 / 34
Consider this equation [tex]tan(\theta)=-5/3[/tex]. if theta is an angle in quadrant II the of [tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex].
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
Consider this equation
[tex]tan(\theta)=-5/3[/tex]
B 5√34 / 34
if theta is an angle in quadrant II what is the of sin(theta)
[tex]tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]
In quadrant II
tan ∅ = 5 / (-3)
[tex]hyp^2 = 5^2 + (-3)^2\\hyp^2 =25 + 9 = 34\\hyp = \sqrt{34}[/tex]
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]
[tex]sin \theta = \dfrac{5}{\sqrt{34} }[/tex]
Rationalizing
[tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex]
Learn more about trigonometric ratios here:
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heyy! i’ll give brainliest please help.
Answer:
I think its A? Not sure though
Step-by-step explanation:
Dominik uses 202020 grams of filling for each dumpling he makes. He has 150015001500 grams of dumpling filling. The grams FFF of filling remaining is a function of ddd, the number of dumplings Dominik makes.
Answer:
−20d+1500
Step-by-step explanation:
I did it on khan and it was right
hii please help i’ll give brainliest
What is the answer to this question? I can't wrap my head around it because I am a 6th grader but my math teacher is making me do 8th-grade stuff to prepare me for algebra I.
please smart people help me with math (it's asked to: Division into square trinomial multipliers (if possible))
Answer:
M. (4x-1) (x+4)
K. (3x-1)(2x-1)
L.(2x-7)(x+5)
N.3x^2-4x+39
O.(3x-1)(3x+4)
Sorry if it's wrong but that's what I got
hi can someone pls help me, I’m confused
Answer:
(E) 72 w^2 is the answer
Step-by-step explanation:
outer square area is 81 w^2
inner square area is 9 w^2
subtracting outer - inner we can get the shaded area
so 81 -9= 72w^2
Answer:
E. 72w²
Step-by-step explain:
Area I = a × a= 9w × 9w
= 81w²
Area II = a × a= 3w × 3w
= 9w²
Shaded area = Area I - area II= 81w² - 9w²
= 72w²
#CMIIWsimplify: b+2b-3b +4b.
Answer:
4b
Step-by-step explanation:
b + 2b - 3b + 4b
3b - 3b + 4b
4b
Which function has a maximum that is greater than the maximum of the graph g(x)?
O y = (x + 3)2 + 2
y=-5 (x+3)2 + 4
O y=- } (x - 2)2 +3
O
y = (x - 2)2 + 4
What is the slope of the line?
What are the dimensions of the base of the pyramid?
A grocery store has 29 boxes with 204 bars of soap in each box. The store also has 2,346 bottles of hand soap. How many more bottles of hand soap than bars of soap does the store have?
Answer:
3570
Step-by-step explanation:
x=(29*204)-2346
x=5916-2346=3570
(Ples Mark Brainliest. Also if you can, please help me : https://brainly.com/question/23700476) :D
et f(x)=2\ln(x+4)f(x)=2ln(x+4)f, left parenthesis, x, right parenthesis, equals, 2, natural log, left parenthesis, x, plus, 4, right parenthesis and let g(x)=\dfrac23x+1g(x)= 3 2 x+1g, left parenthesis, x, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1. The graph of y=f(x)y=f(x)y, equals, f, left parenthesis, x, right parenthesis is shown below. Use the interactive graph to sketch a graph of y=g(x)y=g(x)y, equals, g, left parenthesis, x, right parenthesis. LinearAbsolute_valueQuadraticExponentialLogarithm Let x_1x 1 x, start subscript, 1, end subscript and x_2x 2 x, start subscript, 2, end subscript be solutions of \,2\ln(x+4)=\dfrac23x+12ln(x+4)= 3 2 x+12, natural log, left parenthesis, x, plus, 4, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1, where x_1
Answer:
x=-3.5 , the points of the graph are 0,1 and 3,3
Step-by-step explanation:
Please help me y’all!!
Answer:
57
Step-by-step explanation:
Answer:
[tex]57[/tex]
Step-by-step explanation:
This is a plug-and-chug type problem. Substituting given values, we have:
[tex]\frac{3}{4}|-4-2(6^2)|,\\\\\frac{3}{4}|-4-2(36)|,\\\\\frac{3}{4}|-4-72|,\\\\\frac{3}{4}|-76|,\\\\\frac{3}{4}(76)=\boxed{57}[/tex]
The base edge of the regular triangular pyramid is b=10 cm and altitude of the base hb ≈ 8.66 cm. The slant height of the pyramid is k=8 cm. Find: a Lateral area of the pyramid
Answer:
Lateral Area: 120
Surface Area: 163.3
write an equation
(-2,4) and (-1,8)
Answer:
2(-2,4) + 2(-1,8)=-8.4
Step-by-step explanation:
2x-2
2x4
2x-1
2x8
-8.4
Find the area of the composite figure
Answer:
370mm
Step-by-step explanation:
15mm×30mm=450mm
8mm×10mm
450mm-80mm =370mm
help pleaaseeeeeeeee..
Answer:
Step-by-step explanation:
Rectangle 4 sides, 4 right angles, and opposite Parallel sides
Rhombus 4 sides, all sides equal length, and 4 acute angles.
I am 100% positive this answer is correct plz mark as brainliest
In a week, 23 hens laid 92 eggs. What is the unit rate for eggs per hen?
Answer:
Hello There!!
Step-by-step explanation:
92/23=4 eggs per hen in a week.
hope this helps,have a great day!!
~Pinky~
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
492/23 = 4
4 eggs per hen.
Thanks Hope it helpsA bacteria population is growing exponentially with a growth factor of 1/6 each hour. By what growth factor does the population change each half hour? Select all that apply
Using exponential function concepts, it is found that the change of the growth factor of the population each half hour is given by:
b. [tex]\sqrt{\frac{1}{6}}[/tex]
e. [tex]\left(\frac{1}{6}\right)^{0.5}[/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the growth factor of 1/6 each hour, hence, [tex]r = \frac{1}{6}[/tex], and:
[tex]A(t) = A(0)(1 + \frac{1}{6})^t[/tex]
For each half-hour, t = 0.5, hence the growth factor is of:
[tex]\left(\frac{1}{6}\right)^{0.5} = \sqrt{\frac{1}{6}}[/tex]
Hence, options b and e are correct.
You can learn more about exponential functions at https://brainly.com/question/25537936
Help please explanation and thank you!
Answer:
D
Step-by-step explanation:
A: The sum of Y and H is +. If the scale is correct, this is not true. Y is further away from 0 than H is. Suppose H = 5 and Y = -7. Then Y + H = 5 + -7 = - 2
B: E and Y area both minus. The minus signs cancel. Therefore the answer will be + B is wrong.
C: H>0 and E<0. A negative times a positive is a negative not a positive. C is wrong
D: A - H Suppose A = 2 and H = 5 . Then A - H = 2 - 5 which is - 3
This is your answer.
The reason is that H is further from the 0 than A is.
Give the most specific name for the quadrilateral. Explain your reasoning.
Answer:
Kite because it has two pairs of opposite sides and opposite angles that are equal .
1) IF (a, b ond B = (x, y) find BxH,
And show in arrow diagram
Answer:
Your question seems inaccurate. Sorry,please give the correct question.
You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by h(t)=-16t^2+6t+12
When do you hit the water?
What is your maximum height?
Answer:
When do you hit the water?
1.075 seconds after you jump.
What is your maximum height?
the maximum height is 12.5626 ft
Step-by-step explanation:
The equation:
h(t) = -16*t^2 + 6*t + 12
Is the height as a function of time.
We know that the initial height is the height when t = 0s
h(0s) = 12
and we know that the diving board is 12 foot tall.
Then the zero in h(t)
h(t) = 0
Represents the surface of the water.
When do you hit the water?
Here we just need to find the value of t such that:
h(t) = 0 = -16*t^2 + 6*t + 12
Using the Bhaskara's formula, we get:
[tex]t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}[/tex]
Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)
The positive solution is:
t = (-6 - 28.4)/-32 = 1.075
So you hit the water 1.075 seconds after you jump.
What is your maximum height?
The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.
We know that the vertex of a general quadratic:
a*x^2 + b*x + c
is at
x = -b/2a
Then in the case of our equation:
h(t) = -16*t^2 + 6*t + 12
The vertex is at:
t = -6/(2*-16) = 6/32 = 0.1875
Evaluating the height equation in that time will give us the maximum height, which is:
h(0.1875) = -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626
And the height is in feet, then the maximum height is 12.5626 ft
You hit the water 1.075 seconds after you jump.
The maximum height is 12.56.
Given that,
You are jumping off the 12-foot diving board at the municipal pool.
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
We have to determine,
When do you hit the water?
What is your maximum height?
According to the question,
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
1. The initial height is the height when t = 0 second,
[tex]\\\rm h(t)=-16t^2+6t+12\\\\\rm h(0)=-16(0)^2+6(0)+12\\\\ h(0) = 12[/tex]
And the diving board is 12 feet tall.
Then the zero in h(t)
h(t) = 0
When h(t) = 0 represent the surface of the water,
[tex]\rm h(t)=-16t^2+6t+12\\\\\rm -16t^2+6t+12 =0\\\\8t^2-3t-6=0\\\\x = \dfrac{-(-3)\pm \sqrt{(-3)^2-4\times8\times(-6)}}{2\times 8}}\\\\x = \dfrac{3\pm \sqrt{9+192}}{16}}\\\\x = \dfrac{3\pm \sqrt{201}}{16}}\\\\x = \dfrac{3\pm 14.77}{16}}\\\\ x = \dfrac{3+14.77}{16} \ and \ x = \dfrac{3-14.77}{16} \\\\x = \dfrac{17.77}{16} \ and \ x = \dfrac{-11.77}{16} \ \\\\ x = 1.075 \ and \ x = -0.855[/tex]
The value of x can not be negative then the value of x is 1.075.
Therefore, you hit the water 1.075 seconds after you jump.
2. The maximum height is reached by you, you first derivative the function h(t) with respect to t:
[tex]\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2+6t+12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2)}{dt} +\dfrac{d(6t)}{dt}+\dfrac{d(12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = 2\times (-16t) + 6\times 1+0\\\\ \dfrac{dh(t)}{dt} = -32t+6\\\\[/tex]
To find the maximum height the value first derivative is equal to zero.
[tex]\rm \dfrac{dh(t)}{dt} = 0\\\\-32t+6=0\\\\-32t=-6\\\\t = \dfrac{6}{32}\\\\t = \dfrac{3}{16}\\[/tex]
Substitute the value of t in the equation to find the maximum height,
[tex]\rm h(\dfrac{3}{16})=-16(\dfrac{3}{16})^2+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-(\dfrac{9}{16})+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-\dfrac{-9}{16}+\dfrac{18}{16}+12\\\\ h(\dfrac{3}{16})= \dfrac{-9+18+192}{16} \\\\ h(\dfrac{3}{16}) = \dfrac{201}{16}\\\\h(\dfrac{3}{16}) = 12.56[/tex]
Hence, The maximum height is 12.56.
For more details refer to the link given below.
https://brainly.com/question/20120328
A rectangular ink pad is 10 centimeters tall and 15 centimeters wide.
What is its area?
Answer:
15000000000000000000000000000000000000000000
Step-by-step explanation:
Answer:
150 centimeters
Step-by-step explanation:
just multiply!
hope this helps :)
Analyze the graph below to identify the key features of the logarithmic function.
Answer:
is there just 2 answers too this question? anyways the answer b
Find the difference of (2x -3) - (x-1) . *
5 points
x - 4
x - 2
x + 2
x + 4
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex](2x - 3) - (x - 1) \\ = 2x - 3 - x + 1 \\ = 2x - x - 3 + 1 \\ = x - 2[/tex]
⇻Option B. x - 2 is the correct answer.
solve the absolute value equation
|x+1|=|2x-6|
Answer:
x = 5, and/or x= - 7/3
Step-by-step explanation:
|x+1|=|2x+6|
We know eitherx+1=2x+6orx+1=−(2x+6)
x+1=2x+6(Possibility 1)
x+1−2x=2x+6−2x(Subtract 2x from both sides)
−x+1=6
−x+1−1=6−1 (Subtract 1 from both sides)
−x=5
(Divide both sides by -1)
x=−5
x+1=−(2x+6)(Possibility 2)
x+1=−2x−6(Simplify both sides of the equation)
x+1+2x=−2x−6+2x(Add 2x to both sides)
3x+1=−6
3x+1−1=−6−1(Subtract 1 from both sides)
3x=−7
Divide both sides by 3
x= −7 / 3
Check answers. (Plug them in to make sure they work.)
x=−5(Works in original equation)
x= −7/3
(Works in original equation)
Answer:
x=−5 or x= −7 / 3
What is the measure of x?
Answer:
Hello! answer: x = 68
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees 90 - 22 = 68 therefore x = 68 HOPE THAT HELPS!