think your a pro at riddles?

Mr. and Mrs. Mustard have six daughters and each daughter has one brother. How many people are in the Mustard family?

Answer:

x=27 degrees

EAF=  27

Step-by-step explanation:

sorry if this isnt right i tried my best

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

Given:

To solve for h:

On solving we get,

Hence, the answer is h=6.4 hours (or) h=6 hours 24 minutes.

The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.

To find the difference between the numbers simplify means;

to subtract 78 7/12 from 126 1/4 .

126 1/4 - 78 7/12

First, convert the mixed fractions into improper fractions.

( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12

505/4 - 943/12

Multiply first term by 3/3 which is the same as 1.

( 505/4 × 3/3 ) - 943/12

1515/12 - 943/12

( 1515 - 943) / 12

572 / 12

143/3 or 47 2/3.

Therefore, the difference is 143/3 or 47 2/3.

Learn more about common factors here:https://brainly.com/question/11221202

#SPJ1

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

for such more question on distance

https://brainly.com/question/7243416

#SPJ8

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

Learn more about points on a plane here: https://brainly.com/question/31404411

#SPJ1

The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

The test statistic is given by t and t is calculated with the help of the test statistic formula. The value of t is 4.45.

The test statistic summarizes the observation data into a unique number using central tendency, the variation, sample, and size in your statistical model.

here, we have,

The given information will be shown below.

The first sample size n₁ = 36

The second sample size n₂ = 34

The mean of the first sample x₁ = 68.5

The mean of second sample x₂ = 70

Then the test statistic will be given as:

t = -4.45

The test statistic | t | = |–4.45| = 4.45

More about the test statistic link is given below.

brainly.com/question/15236063

#SPJ2

complete question:

g A test was conducted to determine if there is a difference between Canadian and American average heart rates. A group of 36 Canadians and 34 Americans were randomly selected and their heart rates measured in beats per minute (bpm). The mean heart rate for Canadians was 68.5 and 70 for Americans. The pooled standard deviation of 2.0 beats/minute was calculated. Estimate a plausible range of differences between the mean heart rate of Canadians and Americans. What statistical procedure should be used to answer this research question

Answer:

4x + 3y

Step-by-step explanation:

Answer:

4x+3y

Step-by-step explanation:

The value of 3x₁ + x₂ is 7/2

A quadratic equation is an equation of the form ax² + bx + c = 0, where x is the variable and a, b, and c are constants.

5/x - 2/x² = 2

The LCM of x and x² is x². So we have:

(5x - 2)/x² = 2

Cross multiply:

5x - 2 = 2x²

2x² - 5x + 2 = 0

Factorize:

(2x - 1)(x - 2) = 0

2x - 1 = 0 or x - 2 = 0

2x  = 1 or x = 2

x  = 1/2 or x = 2

Thus, x₁ = 1/2 and x₂ = 2

Therefore, the value of 3x₁ + x₂ will be:

3x₁ + x₂ = 3×(1/2) + 2 = 3/2 + 2 = 7/2

Learn more about  quadratic equation on:

brainly.com/question/1214333

#SPJ1

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

More can be learned about extremas of a function at https://brainly.com/question/9839310

#SPJ1

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

For similar question on residents.

https://brainly.com/question/2621599  

#SPJ8

Answer:

The proportions differ significantly from those in the general population.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170

against

Ha: pi≠ pi0 for at least one value of i= 1,2,3,4

The significance level is set at ∝= 0.05

The test statistic under H0 is

χ² = ∑ (Oi- ei)²/ei

which has approximate chi square distribution with 3d.f  (n-1)

Computations: Under H0 the expected frequencies are

np10= Blood type O = 170 * 49/100= 83.3

np20 = Blood type A = 170 * 38/100= 64.6

np30 = Blood type B = 170 * 20/100= 11.76

np40 = Blood type AB = 170 * 4/100= 2.35

The value of χ² is computed as follows

Cell       Observed         Estimated        (Oi-ei)            (Oi-ei)²   (Oi-ei)²/ei

             Frequency      Frequency  

               Oi                    ei

1             87                        83.3               3.7               13.69        0.157

2            59                      64.6              -5.6                 31.36       0.531

3             20                     34                  -14                   196           9.8

4               4                      6.8                -2.8                  7.84         1.96      

∑             170                    188.7                                                  χ²= 12.43  

The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and

χ²≥ χ²(0.01,3) = 11.34  for alpha = 0.01

As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.

Answer:

(75y+25)

Step-by-step explanation:

Rectangle area= W x L

where L is Length and W is Width.

So,

Area= (3y+1).25

       = (75y+25) miles

Answer: In trigonometry, the value of tan 0 is 0.

The proportion reads:

210/n = 300/440

we need to solve for "n"which is in the denominator, so we first "cross multiply"as shown below:

210 * 440 = 300 * n

operate on the left:

92400 = 300 * n

and now divide both sides by 300 in order to isolate "n"

92400/300 = n

therefore n = 308

Answer:

Line A slope = 3/2

Line B slope = 2

Step-by-step explanation:

We create the triangles they request for each line, as shown in the attached image, which we use to calculate the vertical change (height of the triangle) and horizontal change (base of the triangle). The height and base of the triangles (depicted in red and blue matching the color of the lines) have been highlighted for easy identification.

We estimate the vertical and horizontal changes, as well as the slope, for each line as shown below:

Line A:

vertical change = (6 - 3 ) = 3

horizontal change = (2 - 0) = 2

slope of line A = 3 / 2

Line B:

vertical change = (6 - 4) = 2

horizontal change = (3 - 2) = 1

slope = 2 / 1 = 2

The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13

y = -14x² + 1035x - 10266

-14x² + 1035x - 10266 = 0

x = -b ± √b² - 4ac / 2a

= -1035 ± √1035² -4(-14)(-10266) / 2(-14)

= -1035 ± √1071225 - 574896 / -28

= -1035 ± √496329 / -28

x = 1035 / 28 ± √496329 / 28

x = 11.80 or 62.13

The maximum value of x is 62.13

Learn more about quadratic equation:

https://brainly.com/question/1214333

#SPJ1

write a quadratic function whose graph passes through (4,-7) and has a vertex of (1,6)

REmember that

The equation of a vertical parabola in vertex form is equal to

y=a(x-h)^2+k

where

(h,k) is the vertex

a is the leading coefficient

substitute the given values

(h,k)=(1,6)

y=a(x-1)^2+6

Find the value of a

we have the point (4,-7)

so

For x=4

y=-7

substitute

-7=a(4-1)^2+6

-7=a(9)+6

solve for a

9a=-7-6

9a=-13

a=-13/9

therefore

Answer:

0.04

Step-by-step explanation:

0.04854368932

know gimme brainly

Answer:

135 - 25 = 110

Step-by-step explanation:

Answer:

m∠ABC = 110°

Step-by-step explanation:

There is an exterior angle given, at about point C. This can be utilized to find the interior angle, as they form a linear pair and ergo are supplementary. So,

180° - 135° = 45°

∠C = 45°

Now, you know that a triangle contains 180°. So, use ∠A + ∠B + ∠C = 180° to find the missing angle.

25° + ∠B + 45° = 180°

70° + ∠B = 180°

∠B = 110°

∠B in this case can also be written as ∠ABC.

Answer:

yc is 12

ct is 7

yz is 24

for rz im not sure im so sorry :(

Answer:

i'll answer for real when I see the image ^^ this is just for reservation lol- dw i won't bail out.

Step-by-step explanation:

The angles that are 118 degrees are ∠1 , ∠3, ∠5 and ∠7.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, vertically opposite angles etc.

Therefore, let's find the angle relationship in the line and find the angles that are 118 degrees.

Hence,

∠3 = 180 - 62 = 118 degrees(angles on a straight line)

∠1 ≅ ∠3 (vertically opposite angles)

∠7 ≅ ∠3 (alternate interior angles)

∠5 ≅ ∠7 (vertically opposite angles)

learn more on angles here: brainly.com/question/7153708

#SPJ1

Answer:

x>1

Step-by-step explanation:

The volume of the cone is approximately 211.06 cubic meters.

Why is that?

Well, the formula for the volume of a cone is:

V = (1/3)πr^2h

where:

Substituting the given values, we get:V = (1/3)π(4.5m)^2(10m)

V = (1/3)π(20.25m^2)(10m)

V = (1/3)π(202.5m^3)

V = 67.5π

Using a calculator, we get:

V ≈ 211.06 cubic meters

Therefore, the volume of the cone is approximately 211.06 cubic meters.

Answer:

(-3,-1)

Step-by-step explanation:

You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.

Answer:

x=-2

Step-by-step explanation: