What is the y value?

What Is The Y Value?

Answers

Answer 1

Answer:

y =34

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

63+ 2y+ y+15 = 180

Combine like terms

78+ 3y = 180

Subtract 78 from each side

78+3y-78 = 180-78

3y = 102

Divide each side by 3

3y/3 = 102/3

y =34

Answer 2

Answer:

[tex]y = 34[/tex]

Step-by-step explanation:

Sum of the angles in a triangle is 180 degrees

[tex]2y + 63 + y + 15 = 180 \\ 3y + 63 + 15= 180 \\ 3y +7 8 = 180 \\ 3y = 180 - 78 \\ 3y =10 2 \\ \frac{3y}{3} = \frac{102}{3} \\ y = 34 [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!


Related Questions

Please answer this correctly

Answers

Answer:

h = 20

Step-by-step explanation:

These two shapes are similar, so you can set up a proportion like so:

[tex]\frac{72}{45} =\frac{32}{h}[/tex]

→Cross multiply:

[tex]\frac{72h}{1440}[/tex]

→Divide 1440 by 72:

h = 20

Solving for Unknown Angles
Lines x and y are parallel.

Parallel lines x and y are intersected by lines s and t. At the intersection of lines x, t, and s, clockwise from top left, the angles are blank, blank, (6 x + 8) degrees, blank, (7x minus 2) degrees, blank. At the intersection of lines x and y, the angles are 106 degrees, 1, blank, blank. At the intersection of lines y and t, the angles are 2, blank, blank, blank.

Use the diagram to determine the measure of the unknown angle.

m∠1 = (6x + 8)°

m∠1 = 74°

What is the value of x?


What is the measure of ∠2?
(7x - 2)° + m∠2 = 106°

m∠2 =
°

Answers

Answer:

x=11

Step-by-step explanation:

x=11 because, 6x+8= 74, so you do 74-8=66 and 66/6= 11. so x=11,

the measure of 2 is 7(11)-2+m=106.

so you add 2 on both sides to cancel it out, and you end up with 7(11)+m=108

now you do 7(11)= 77, and you subtract from both sides and get 31.

therefore, m=31.

hope this helps!

Answer:

x=11

Step-by-step explanation:

From a group of 8 people 5 will each win $1000.How many different winning groups are possible?

Answers

Answer:

6720 ways different

Step-by-step explanation:

In this case, we must calculate the different ways using the permutation formula:

nPr = n! / (n - r)!

where n is the total number of people and r would come being the group of person that you want to put together the groups, therefore n = 8 and r = 5

replacing:

8P5 = 8! / (8 - 5)!

8P5 = 6720

That is to say that there are 6720 ways different winning groups are possible

Aspirin A bottle contains a label stating that it contains Spring Valley pills with 500 mg of vitamin C, and another bottle contains a label stating that it contains Bayer pills with 325 mg of aspirin. When testing claims about the mean contents of the pills, which would have more serious implications: rejection of the Spring Valley vitamin C claim or rejection of the Bayer aspirin claim? Is it wise to use the same significance level for hypothesis tests about the mean amount of vitamin C and the mean amount of aspirin? Rejection of the claim about______is more serious because the wrong______V dosage could cause more serious adverse reactions than a wrong______dosage. It would be wise to use a_______significance level for testing the claim about the aspirin.

Answers

Answer:

Rejection of the claim about aspirin is more serious because the wrong aspirin dosage could cause more serious adverse reactions than a wrong vitamin C dosage. It would be wise to use a greater significance level for testing the claim about the aspirin.

Step-by-step explanation:

The wrong dosage of aspirin will cause more damage than a wrong dosage of vitamin C. Then, if we perform an hypothesis test for each mean, the rejection of the claim about the aspirin content is more serious than the vitamin C content.

In the case of the aspirin, we want to minimize the Type II error (accepting a false null hypothesis). This can be achieved increasing the sample size or/and increasing the significance level. Then, a significative difference between the claimed content and the sample content will be easily detected.

The highest and lowest scores on a test taken by 80 students are within 19 points of the average of the exam. The average for this exam was a 72. Set up an equation to solve for the highest and lowest scores. Show your original equation and the process used to find the highest and lowest exam score.

Answers

1. So start off by asking yourself, how will I get this answer? Absolute values!

2. So what the question is asking is for you to build and equation that shows us how to solve for the highest and lowest grades that are 19 points above and below the average of 72.

3. So your unknown is x, and for us to be able to plug in our highest and lowest scores it will always have to = 19 (that’s the rule we got from the question)

So now this is where your absolute value comes in.

4. Set it up

| x - 72 | = 19

5. Solve it

72-19=53 Minimum

72+19=91 Maximum

6. | 53 - 72 | = 19

| 91 - 72 | = 19

What’s the correct answer for this question? Select the ones That apply

Answers

Answer:

A and C

Step-by-step explanation:

CD and AB

Answer:

CD & AB

Hope this helps!

Want Brainliest? Get this correct , Which rule should be applied to reflect f(x) = x^3 over the y-axis?

Answers

Answer:

B

Step-by-step explanation:

When you flip over the y-axis you the x is multiplied by -1

What is the area of a circle with a radius of 42 in use 3.14 for pi

Answers

The right answer is 5538.96 units^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer: 5538.96

Step-by-step explanation: 3.14× 42×42

42×42=1764

∴ 3.14×1764= 5538.96

Color Blindness in Men and Women The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color blindness is much more common in men than in women (this is because the genes corresponding to the red and green receptors are located on the X-chromosome). Approximately of American men and of American women are red-green color-blind.1 Let and denote the events that a man or a woman is color-blind, respectively.
A) If an Americal male is selected at random, what is the probability that he is red-green color-blind?
B) If an American female is selected at random, what is the probability that she is not red-green color-blind?
C) If one man and one woman are selected at random, what is the probability that neither are red-green color-blind?D) If one man and one woman are selected at random, what is the probability that at least one of them is red-green color-blind?

Answers

Answer:

A. Probability the man is colorblind = 0.07

B. Probability the woman is not colorblind = 0.996

C. Probability neither the man or woman is colorblind = 0.926

D. Probability at least one of the woman or man is colorblind = 0.074

Note: The given question is missing some values. The question below is a sample question.

"The most common form of color blindness is an inability to distinguish red from green. However, this particular form of color blindness is much more common in men than in women (this is because the genes corresponding to the red and green receptors are located on the X-chromosomes). Approximately 7% of American men and 0.4% of American women are red-green color-blind.

(a) If an American male is selected at random, what is the probability that he is red-green colorblind?

(b) If an American female is selected at random, what is the probability that she is NOT red-green color-blind?

(c) If one man and one woman are selected at random, what is the probability that neither are

red-green color-blind?

(d) If one man and one woman are selected at random, what is the probability that at least one of them is red-green color-blind?"

Step-by-Step Explanation:

Let cbM and cbW represent the events that a man or a woman is colorblind, respectively.

(a) 7% of men are colorblind, P(CBM) = 7/100 = 0.07.

(b) 0.4% of women are colorblind = 0.4/100 = 0.004

P(not cbW) = 1 - P(cbW)

P(not cbW) = 1 - 0.004 = 0.996.

(c) Probability the woman is not colorblind, P(not cbW) = 0.996,

Probability that the man is not color- blind, P(not cbM) = 1 - 0.07 = 0.93.

The two events are independent of each other, therefore, their probabilities are multiplied together:

P(neither is colorblind) = P(not cbM) × P(not cbW)

= 0.93 × 0.996 = 0.926.

(d) Probability that at least one is colorblind is the complement of the set P (neither is colorblind).

Therefore, P(at least one is colorblind) = 1 - P (Neither is Colorblind)

= 1 - 0.926 = 0.074

Which shapes can the composite figure be decomposed into? Check all that apply.

Answers

Answer:

rectangle ,triangle ,trapezoid ,octagon ..

Graph a line with a slope of -5 that contains the
point (-3,-4).
y
6
.
.
2
-6
-4
2
4
-6

Answers

Answer:

Step-by-step explanation: idk

OMG THIS QUESTION IS SO HARD WILL RATE IF U GET IT

Answers

Answer:

the answer is 290

Step-by-step explanation:

A = 2(wl + hl + hw)

Answer:

Step-by-step explanation:

This is a pretty easy one. Use the equation SA=2lw+2lh+2hw and substitute in the length, width, and height. Substitute than solve and you get 290 in^2

Change2800cm squared into litres

Answers

Answer:

You cannot do this because 2800 cm squared is area and liters is volume. however, if you mean 2800 cm cubed, then the answer is 2.8 liters.

Step-by-step explanation:

Point A(3,-2) and point B (-1,6) are endpoints of AB Point C is the midpoint of AB What is the equation of a line perpendicular to that passes through
point c ?


Answers

Answer:

y = 0.5x + 1.5

Step-by-step explanation:

I just graphed the points with GeoGebra. Hope this Helps!

Pentagon ABCDE is rotated 90° counterclockwise about the origin to form pentagon A'B'C'D'E'. What is the y-coordinate of point C'?



please now​

Answers

Answer:

The y-coordinate of point C' is 4

Step-by-step explanation:

In the picture attached, pentagon ABCDE is shown.

Rotation 90° counterclockwise about the origin transforms point (x,y) into (-y,x).

C is located at (4, 3), then C' is located at (-3, 4)

Answer:

4

Step-by-step explanation:

2 1 /4 meters by 1 7 /8

Answers

[tex](\frac{9}{4} )(\frac{15}{8} )[/tex]

[tex]\frac{135}{32}[/tex]

[tex]=4\frac{7}{32}[/tex]

What is the value of x?

Answers

Answer:

x = 30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

100 = 70+x

Subtract 70 from each side

100-70 = 70+x-70

30 =x

Answer:

[tex]x = 30 \: \: degrees[/tex]

Step-by-step explanation:

The sum of the of the exterior angle is equal to sum of the opposite interior angles in a triangle.

[tex]70 + x = 100 \\ x = 100 - 70 \\ x = 30 \: \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

what is the slope of the line that contains the points (4 -1) and (-1,4)

Answers

Answer:

-1

Step-by-step explanation:

The slope formula when given two points is

m = ( y2-y1)/(x2-x1)

    = (4 - -1)/(-1 -4)

    = (4+1)/(-5)

    = 5/-5

   =-1

Answer:

-1

Step-by-step explanation:

Use the equation for slope.

[tex]m=\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]

Plug in the given points into the equation.

[tex]m=\frac{4-(-1) }{-1- 4 }\\m=\frac{4+1 }{-5 }\\m=\frac{5}{-5 }\\m=\frac{1}{-1 }\\m=-1[/tex]

The slope is -1.

Please answer this correctly

Answers

Answer:

2198

Step-by-step explanation:

10×10×3.14=314

314×7

Answer: 2,128 cubic millimeters

To find the volume of a cylinder you must solve 3.14 times radius to its second power times height.

The equation would be

3.14•10^2•7=

3.14•100•7=

314•7=

2,128

So the answer is 2,128 cubic millimeters

Which of the following steps were applied to ABCD to obtain A'B'C'D?

A. shifted 2 units right and 3 units down

B. shifted 3 units right and 2 units down

C. shifted 2 units right and 4 units down

D. shifted 4 units right and 3 units down

Answers

Answer:

Option (A)

Step-by-step explanation:

In the figure attached,

Quadrilateral ABCD has been translated to get an image quadrilateral A'B'C'D'.

To get the rule by which the pre-image ABCD has been translated, we will choose a point A(1, 1) from the given pre-image.

Coordinates of point A' are (3, -2).

So the change is,

A(1, 1) → A'(3, -2)

A(1, 1) → A'[(1 + 2), (1 - 3)]

A(x, y) → A'[(x + 2), (y - 3)]

Therefore, point A has been shifted 2 units right and 3 units down.

Option (A) will be the answer.

In a random sample of A women, 65% favored stricter gun control laws. In a random sample of B men, 60% favored stricter gun control laws. Test the claim that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a significance level of C

Answers

Answer:

We conclude that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control.

Step-by-step explanation:

The complete question is : In a random sample of 360 women, 65% favored stricter gun control laws. In a random  sample of 220 men, 60% favored stricter gun control laws. Test the claim that the proportion of women  favoring stricter gun control is higher than the proportion of men favoring stricter gun control. Use a  significance level of 0.05.

Now, we are given that in a random sample of 360 women, 65% favored stricter gun control laws.

And in a random  sample of 220 men, 60% favored stricter gun control laws.

Let [tex]p_1[/tex] = proportion of women favoring stricter gun control laws.

[tex]p_2[/tex] = proportion of men favoring stricter gun control laws.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]p_1\leq p_2[/tex]     {means that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]p_1> p_2[/tex]     {means that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control}

The test statistics that would be used here Two-sample z-test for proportions;

                          T.S. =  [tex]\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2} } }[/tex]  ~ N(0,1)

where, [tex]\hat p_1[/tex] = sample proportion of women favoring stricter gun control laws = 65%

[tex]\hat p_2[/tex] = sample proportion of men favoring stricter gun control laws = 60%

[tex]n_1[/tex] = sample of women = 360

[tex]n_2[/tex] = sample of men = 220

So, the test statistics  =  [tex]\frac{(0.65 -0.60)-(0)}{\sqrt{\frac{0.65(1-0.65)}{360}+\frac{0.60(1-0.60)}{220} } }[/tex]

                                     =  1.205

The value of z test statistics is 1.205.

Now, at 5% significance level, the z table gives critical value of 1.645 for right-tailed test.

Since, our test statistics is less than the critical value of z as 1.205 < 1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the proportion of women favoring stricter gun control is smaller than or equal to the proportion of men favoring stricter gun control.

Are these correct? If not please help me write the correct answer.​

Answers

Answer:

Mostly correct

For Q3, you are doing great, you remembered that negative numbers can happen if the exponent is an odd number.

For Q4, I think you were confused with the fractions,

4(i)

[tex](\frac{2}{3} )^{4} = (\frac{2^{4}}{3^{4}}) = (\frac{16}{81}) =0.198[/tex]

4(ii) is also wrong but I'll let you try to fix it yourself following what I given you for 4(i). You should get 1/64

Hope this helps!

Answer:

i = correct

ii = correct

iii = correct

iv = correct

4

i = 16/81 => 0.1975308642

ii= 1/64

16. Terry has a monthly mortgage payment of $979. Her annual property taxes are

$1200, her PMI is $62/month, and her homeowner's insurance is $800 per year. How

much is deposited into Terry's escrow account each month?

Answers

Answer:

$228.67

Step-by-step explanation:

Given that:

Terry has a monthly mortgage payment of $979.

Terry's annual taxes are $1200 per year. That implies that his escrow each month require to posses 1/12 of that amount.

i.e 1/12 × 1200 = $100 per month.

For his  homeowner's insurance which is $800 per year,

His escrow account each month is = 1/12 × 800 = $66.67

PMI = $62 per month.

Thus: The amount that is deposited  into Terry's escrow account each month is the sum total of $100 + $ 66.67 + $62 = $228.67

WILL MARK BRAINLIEST

Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the
variables represent?

A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is
the price per pound of chocolate.

B) The correct equation is 5x + y = 24, where x is the combined price per pound of
coffee and chocolate, and y is the total number of pounds purchased.

C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of
coffee and chocolate, and y is the total number of pounds purchased.

D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and
y is the price per pound of coffee.

Answers

Answer:

AAAAAAAAAAAA answer is A

Step-by-step explanation:

Solve the equation sin sq x = 3cos sq x.

The value of x that satisfies the equation if x lies in the second quadrant is °.

The value of x that satisfies the equation if x lies in the third quadrant is

Answers

Answer:

Second quadrant = 120°.

Third quadrant = 210°

Step-by-step explanation:

We are given that:

[tex]sin^2(x) = 3cos^2(x)[/tex]

The following property is known:

[tex]sin^2(x) +cos^2(x)=1\\[/tex]

Combining both expressions:

[tex]sin^2(x) =1-cos^2(x)\\sin^2(x) = 3cos^2(x)\\\\1-cos^2(x) = 3cos^2(x)\\cos^2(x)=\frac{1}{4}\\cos(x)=\pm \frac{1}{2}[/tex]

If x lies in the second quadrant, then cos(x) = -1/2:

[tex]x=cos^{-1}(1/2)\\x=120^o[/tex]

The value of x that satisfies the equation if x lies in the second quadrant is 120°.

If x lies in the third quadrant, then cos(x) = -1/2:

[tex]x=120+90=210^o[/tex]

The value of x that satisfies the equation if x lies in the third quadrant is  210°

Answer:

The value of x that satisfies the equation if x lies in the second quadrant is 120

The value of x that satisfies the equation if x lies in the third quadrant is

240

Step-by-step explanation:

This is correct for Plato/Edmentum users :) Hope I could help !

Find the value of the trig function indicated

Answers

Answer:

Step-by-step explanation:

base x height divided by 2

4x3=12

12 divided by 2 = 6

6x5= 30

Your answer would be sin 0= (3/5)
I got the because sin 0 = opposite/ hypotenuse

You plan to purchase dental insurance for your three remaining years in school. The insurance makes a​ one-time payment of ​$1200 in case of a major dental repair​ (such as an​ implant) or a​ one-time payment of ​$160 in case of a minor repair​ (such as a​ cavity). If you​ don't need dental repair over the next 3​ years, the insurance expires and you receive no payout. You estimate the chances of requiring a major repair over the next 3 years as 6​%, a minor repair as 59​% and no repair as 35​%. Complete parts a through c.

Required:
a. Why is X= payout of dental insurance a random variable?

A. The amount of the payout for major, mincr, or no dental repair varies over the next 3 years.
B. The probability of needing major, minor or no dental repair over the next 3 years is estimated.
C. The probability of needing major, minor, or no dental repair over the next 3 years varies.
D. The value of the payout depends on whether you will need major, minor, or no dental repair over the next 3 years.

b. Is X discrete or continuous? What are its possible values?
c. Give the probability distribution of X

Answers

Answer:

(a)D. The value of the payout depends on whether you will need major, minor, or no dental repair over the next 3 years.

(b)Discrete

(c) See below

Step-by-step explanation:

For a major dental repair, the insurance company pays $1200For a minor dental repair, the insurance company pays $160For no dental repair, the insurance company pays $0

(a) X= payout of dental insurance a random variable

The payout of dental insurance, X is a random variable because the value of the payout depends on whether you will need major, minor, or no dental repair over the next 3 years. The correct option is D.

(b) X is a discrete variable. This is because its values are whole numbers.

The possible values are $1200, $160 and $0.

(c)

The probability of requiring a major dental repair (with payout of $1200) is 6%.The probability of requiring a minor dental repair (with payout of $160) is 59%.The probability of requiring no dental repair (with payout of $0) is 35%.

Therefore, the probability distribution of X is given below:

[tex]\left|\begin{array}{c|c|c|c}--------------&---&---&---\\X$(Payout of dental insurance)&\$1200&\$160&\$0\\--------------&---&---&---\\P(X)&0.06&0.59&0.35\\--------------&---&---&---\end{array}\right|[/tex]

Solve using the quadratic formula. Leave Irrational answers in radical form.

x2 + x - 20 = 0

The solutions are

and

Answers

Answer:

x1 = 4

x2 = -5

Step-by-step explanation:

There is a formula to solve the quadratic equations, which is:

[-b +- √ (b² - 4 ac) ] / (2a)

Quadractic equations have this look:

ax² + bx + c = 0

You need to stablish the numbers:

where a, is the number with x², b the x and c, the independent term.

x²  + x - 20 = 0 For this case:

a = 1 ; b = 1 ; c = -20. We replace in the formula

[-1 +- √ (1² - 4 1 (-20)) ] / (2 .1)

(-1 + √81) / 2 = 4

(-1 - √81) / 2 = -5

Answer:

x1= 4     ,    x2= -5

Step-by-step explanation:

put in calculator MOD 5 3

a= 1   b= 1   c= -20

f f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?

Answers

Answer:

We study if the composition of both functions equals the identity ("x"), that is if

[tex]f(g(x))=x[/tex]

Step-by-step explanation:

The composition of the two functions should render 'x" if one is the inverse of the other. That is, we need to find what  [tex]f(g(x))[/tex] renders. Notice as well that the same verification could be done with examining  [tex]g(f(x))[/tex].

Let's work with [tex]f(g(x))[/tex] :

[tex]f(g(x))=f(\frac{1}{5} x+5)=5\,(\frac{1}{5} x+5)-25= x+25-25=x[/tex]

So we see that the composition of both functions indeed render "x", and that way we have verified that one is the the inverse of the other.

Answer:

B. One-fifth (5 x minus 25) + 5

Step-by-step explanation:

Just got it right on the test.

Consider the curve given by the equation (2y+1)^3 − 24x = −3.


(a) Show that dy/dx = 4/(2y+1)^2.

(b) Write an equation for the line tangent to the curve at the point (−1,−2).

(c) Evaluate d2y/dx2 at the point (−1,−2).

(d) The point (16,0) is on the curve. Find the value of (y−1)′(0).

Answers

Answer:

(a) dy/dx = 4/(2y+1)^2.

(b) y = 4/9 x - 14/9

(c) d2y/dx2 = -64/243

Step-by-step explanation:

You have the following equation

[tex](2y+1)^3-24x=-3[/tex]   (1)

(a) You first derivative implicitly the equation (1) respect to x:

[tex]\frac{d}{dx}[(2y+1)^3-24x]=\frac{d}{dx}[-3]\\\\3(2y+1)^2(2\frac{dy}{dx})-24=0[/tex]

next, you solve the last result for dy/dx:

[tex]6(2y+1)^2\frac{dy}{dx}=24\\\\\frac{dy}{dx}=\frac{4}{(2y+1)^2}[/tex](2)

(b) The equation for the tangent line is given by:

[tex]y-y_o=m(x-x_o)[/tex]    (3)

with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m = [tex]\frac{dy}{dx}=\frac{4}{(2(-2)+1)^2}=\frac{4}{9}[/tex]

Hence, by replacing in the equation (3) you obtain:

[tex]y-(-2)=\frac{4}{9}(x-(-1))\\\\y+2=\frac{4}{9}x+\frac{4}{9}\\\\y=\frac{4}{9}x-\frac{14}{9}[/tex]

hence, the equation for the tangent line is y = 4/9 x - 14/9

(c) To find d2y/dx2 you derivative the result obtain in the equation (2):

[tex]\frac{d^2y}{dx^2}=\frac{d}{dx}[4(2y+1)^{-2}]\\\\\frac{d^2y}{dx^2}=-8(2y+1)^{-3}(2\frac{dy}{dx})\\\\\frac{d^2y}{dx^2}=-16(2y+1)^{-3}\frac{dy}{dx}[/tex]     (4)

the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

[tex]\frac{d^2y}{dx^2}=-16(2(-2)+1)^{-3}(\frac{4}{9})=-\frac{64}{243}[/tex]

hence, d2y/dx2 evaluated in (-1,-2) is -64/243

Answer:

(A) The value of  [tex]dy/dx=\frac{4}{(2y+1)^2}[/tex].

(B) The equation of the tangent is : [tex]y=(4/9)x-(14/9)[/tex]

(C) The value of  [tex]\frac{d^2y}{dx^2}=-64/243[/tex]

(D) The point (16,0) is not on curve so it can not be determined by the given equation.

Step-by-step explanation:

Given information:

The equation [tex](2y+1)^3-24x=-3[/tex]

(A) For the first derivative of the given equation:

[tex]\frac{d}{dx}[(2y+1)^3-24x ]= \frac{d}{dx}(-3)[/tex]

[tex]3(2y+1)^2(dy/dx)-24=0[/tex]

[tex](dy/dx)=\frac{4}{(2y+1)^2}[/tex]

Hence , from the above equation it is shown that the value of

[tex]dy/dx=\frac{4}{(2y+1)^2}[/tex]

(B) The equation of the tangent to the curve is given by:

[tex]y-y_o=m(x-x_0)\\[/tex]

On putting the given values in the above equation

We get:

[tex]m=\frac{4}{(2(-2))+1)^2}[/tex]

[tex]m=4/9[/tex]

Hence, the equation of the tangent can be written as :

[tex]y-(-2)=(4/9)(x-(-1))\\y+2=\frac{4}{9}x+\frac{4}{9}[/tex]

So, the equation of the tangent is :

[tex]y=(4/9)x-(14/9)[/tex]

(C) Now ,

To find [tex]d^2y/dx^2[/tex] for the equation

We have to find double derivative of the equation;

[tex]\frac{d^2y}{dx^2} =\frac{d}{dx}[4(2y+1)^{-2}]\\\frac{d^2y}{dx^2} = -16(2y+1)^{-3}\frac{dy}{dx}[/tex]

On putting the values from the given information in the above equation;

[tex]\frac{d^2y}{dx^2} =-16(2(-2)+1)^{-3}(4/9)[/tex]

[tex]\frac{d^2y}{dx^2}=-64/243[/tex]

(D) For the equation [tex](2y+1)^3-24x=-3[/tex]

First check for the given points (16,0) if it satisfies the given equation or not.

Now on checking for the same the point is not satisfying the given equation hence, we can not find the value of [tex](y-1)'(0)[/tex].

For more information visit:

https://brainly.com/question/5797309?referrer=searchResults

Other Questions
The governor of state A earns $49,610 more than the governor of state B. If the total of their salaries is $282,720, find the salaries of each. The governor of state A earns $?, and the governor of state B earns $?. At the beginning of a bobsled race, teammates push their bobsled along the track before jumpinginto it.a. Before the teammates jump in, they push the bobsled (m= 100 kg) from rest to a speed of 6m/s. How much kinetic energy does the bobsled gainIll give brainliest to whoever answers first what process carried out by microorganisms in the carbon cycle releases carbon dioxide into the atmosphere Which sum or difference is modeled by the algebra tiles? Please help. will mark brainliest if its right.180-x=3(90-x) Allison owns a food truck that sells tacos and burritos. She only has enough ingredients to make 98 tacos or burritos.Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint 1. An automobile traveling at 25 km/hour has kinetic energy equal to 1x 10^4J.a What is the mass of the car?b. If the velocity of the car is increased to 45 km/hour, what is its kinetic energy?c. If the velocity is increased to 80 km/hour, what is its kinetic energy? I need help ASAP!! Which is correct and why? Joe drove Mary and ____ home. a) we b) I c) me d) she Note:- If any doubts or queries, please ask in the comment section or else you'll be reported. Also don't sent irrelevant answers, your profile will be reported. Satisfying answer would be marked as brainliest. If I were to draw an electron configuration for a bromine (Br) atom, what is the highest energy level I would reach?3s3p4s4p Some couples planning a new family would prefer at least one child of each sex. The probability that a couples first child is a boy is 0.512. In the absence of technological intervention, the probability that their second child is a boy is independent of the sex of their first child, and so remains 0.512. Imagine that you are helping a new couple with their planning. If the couple plans to have only two children:(a) What is the probability of getting one child of each sex? [5](b) What is the probability that at least one girl is born? [5](c) What is the probability that at least one boy is born? [5] and(d) What is the probability that both children are the same sex? [5] Find the surface area of the regular pyramid. Write your answer as a decimal. (solved) Find the value of the function sin 460 Alina and Skyla are both solving the equation 2x = 128.Alina knows the solution to the equation because she knows a power of 2 that equals 128.Skyla does not know a power of 2 that equals 128, so she graphs two equations, y = 2x and y = 128. Use the drop-down menus to complete the explanation about how Skyla can use her graph to solve the equation 2x = 128. What Is the fraction 2/8+4/8 The graph shown is a scatter plot: Which point on the scatter plot is an outlier? Point S Point T Point U Point V A company has a process that results in 1,300 pounds of Product A that can be sold for $13.00 per pound. An alternative would be to process Product A further at a cost of $13,600 and then sell it for $23.00 per pound. What is the additional profit (loss) that would result from processing the product further? Tyler attempts 240 free throws in 60 minutes. How many free throws did he attempt per minute?440180300 How many solutions is this 2x+8=-2x+8 When would a diameter cut be appropriate?O A problem in a 3-foot section of the treeO A large blemish that ran the full length of the treeO A disease from the bark had ruined the wood underneath itOne end of the tree was significantly narrower than the other