Find the tangent plane to the equation 2 - - 2? + 4y2 + 2y at the point (-3,- 4, 47)

The two integers whose product is 136 are 17 and 8.

Let x be one of the integers. Then, the other integer is 3x - 7. The product of the two integers is given by:

x * (3x - 7) = 136

Expanding and solving for x, we get:

x^2 - 7x + 136 = 0

Using the quadratic formula, we can find the two solutions for x:

x = (-(-7) ± √(\((-7)^2\) - 4 * 1 * 136)) / (2 * 1)

x = (7 ± √(49 + 544)) / 2

x = (7 ± √593) / 2

Since x must be an integer, we round down the decimal to the nearest integer to get:

x = 8 or x = 9

Since x represents one of the integers, the other integer is 3x - 7, so:

3x - 7 = 3 * 8 - 7 = 17

Therefore, the two integers are 8 and 17, and their product is 136.

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The coordinates of B for the line segment AB where P divides it in the ratio 2: 1 is equal to (6 ,1).

Ratio that divides line segment AB is equal to,

AP : PB = 2 : 1

⇒ ( m : n ) = 2 : 1

Coordinates of point P (x ,y ) = ( 3 ,0 )

Coordinates of point A(x₁ , y₁ ) = ( -3, -2 )

Let us use the ratio of distances formula to find the coordinates of point B.

If point P divides the line segment AB in the ratio 2:1,

AP/PB = 2/1

Let the coordinates of point B be (x₂, y₂).

Use the midpoint formula to find the coordinates of the midpoint of the line segment AB.

which is also the coordinates of point P.

[ (mx₂ + nx₁ ) / (m + n) , (my₂ + ny₁ ) / (m + n) ] = ( x , y )

Substitute the values we have,

⇒ [ (2x₂ + (1)(-3) ) / (2 + 1) , (2y₂ + (1)(-2) ) / (2 + 1)  ] = ( 3 , 0 )

Equate the corresponding values we get,

⇒ 2x₂ -3 / 3 = 3 and 2y₂ -2 / 3 = 0

⇒x₂ = 6 and y₂ = 1

Therefore, the coordinates of point B for the line segment AB are (6 ,1).

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In this question, we are given a subset "c" of a set "v" with a specific property.

The property states that if both "u" and "v" belong to "c", then the point "1" that lies between "u" and "v" also belongs to "c".

Now, let's assume that "w" is an element of "v". We need to show that there can be at most one point "u" in "c" that is closest to "w".

To prove this, we can use proof by contradiction. Let's assume that there are two points "u1" and "u2" in "c" that are closest to "w".

Since "u1" is closest to "w", the distance between "w" and "u1" must be less than the distance between "w" and any other point "v" in "c". Similarly, the distance between "w" and "u2" must also be less than the distance between "w" and any other point "v" in "c".

Now, consider the point "1" that lies between "u1" and "u2". By the given property of "c", since both "u1" and "u2" belong to "c", the point "1" also belongs to "c".

But this contradicts our assumption that "u1" and "u2" are the closest points to "w". If "1" belongs to "c", then the distance between "w" and "1" would be smaller than the distances between "w" and "u1" and between "w" and "u2". This contradicts our initial assumption.

Therefore, we can conclude that there can be at most one point "u" in "c" that is closest to "w".

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Answer:

11

Step-by-step explanation:

We can buy 10 gallons of gas with $30, whose unit price is $2.85.

The rate calculated for one quantity of something is called unit rates.

Given that, the gas costs $2.85 per gallon, we need to find how many whole gallons of gas could you buy with $30.00.

Let the x gallons cost $30.00

Therefore,

2.85x = 30

x = 30 / 2.85

x = 10.52

x ≈ 10

Hence, we can buy 10 gallons of the gas from $30.

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Answer:

840 unique ways

Explanation:

There are 8 letters in the word COOKBOOK.

O is repeated 4 times.

K is repeated twice.

To find how many unique ways the word can be rearranged, we'll need to divide 8! by 4! and 2!;

Answer:

(8x-5y)(8x+5y)

Step-by-step explanation:

Using the square principal because the square root of 64x2 is 8x and the square root of 25y2 is 5y and +- because +times- is only minus and the equation is minus.

Wolfgang's average speed is 0.1467 meter per second.

for given question,

distance covered (d) = 25,346 meters

time (t) = 48 hours

We know that 1 hour = 60 minutes

and 1 minute = 60 seconds

So, 1 hour = 3600 seconds

⇒ 48 hours = 48 × 3600 seconds

⇒ 48 hours = 172800 seconds

so, t = 172800 seconds

We need to find the average speed.

⇒ s = d/t

⇒ s = 25346 / 172800

⇒ s = 0.1467 m/s

Therefore, Wolfgang's average speed is 0.1467 meter per second.

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using standard z value, 20% of sandwiches are less than 10.58 inches.

In the given question,

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches.

20% of sandwiches are less than...............inches.

The cumulative standardized normal distribution table indicates a z value of -0.84 for 20%.

From the question we know that

Mean(μ) = 11 inches

Standard Deviation(σ) = 0.5 inches

We have to find less than of 20% of sandwiches for z value of -0.84

P(ƶ<z) = 20%

We can write it as

P(ƶ<-0.84) = 20/100

P(ƶ<-0.84) = 0.20

Since z = -0.84

X-μ/σ = -0.84

Now putting the value

X-11/0.5 = -0.84

Multiply by 0.5 on both side

X-11/0.5 *0.5= -0.84*0.5

X-11= -0.42

Add 11 on both side

X-11+11= -0.42+11

X = 10.58

Hence, 20% of sandwiches are less than 10.58 inches.

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Right question is here

Subway sells foot long sandwiches that have a mean of 11 inches and a standard deviation of 0.5 inches. 20% of sandwiches are less than ................. inches. (The cumulative standardized normal distribution table indicates a z value of -.84 for 20%)

(a) 11.500

(b) 11.42

(c) 10.58

(d) cannot be determined from the information given

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

y = -(x - 2)^2.

Step-by-step explanation:

Vertex form is a(x - b)^2 + c   where  a is a constant and (b, c) is the vertex.

Here b = 2 and c = 0

So we have:

y = a( x - 2)^2 + 0

When x = 4 y = -4 so:

-4 = a( 4 - 2)^2

a = -4/2^2 = -1

So the required equation is

y = -(x - 2)^2.

false :) thats ur answer

a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

Answer: 12 eggs

Step-by-step explanation:

12 eggs the anwser is 12 eggs

On solving the equation \(v=u+at\) for t the result will be \(t=\frac{v-u}{a}\).

How to solve any mathematical equation?

1. Open all brackets by applying the distibutive property.

2. Add the same number on the both sides.

3. Subtract the same number on the both sides.

4. Multiply with the same number on the both sides.

5. Divide with the same number on the both sides.

Consider the equqtion.

\(v=u+at\)

Subtact \(u\) from both the sides.

\(v-u=u+at-u\\v-u=at\)

Now, divide both the sides by \(a\).

\((v-u)/a=at/a\\(v-u)/a=t\\t=(v-u)/a\)

Hence, on solving the equation \(v=u+at\) for t the result will be \(t=\frac{v-u}{a}\).

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B is the midpoint which means both sides are equal to each other:

5x = 3x + 4

Subtract 3x from both sides

2x = 4

Divide both sides by 2

X = 2

\(\red{➤}\:\)\(\sf AB = 5x \)

\(\red{➤}\:\)\(\sf BC = 3x+4\)

\(\\\)

\(\orange{☛}\:\)\(\sf Value \:of \:x\)

\(\\\)

Since B is midpoint of AC, therefore -

\(\\\quad\quad\quad\quad\sf AB = BC \)

\(\begin{gathered}\\\quad\longrightarrow\quad \sf 5x = 3x+4\quad\quad ( Putting \:Value) \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf 5x-3x =4 \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf 2x =4 \\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\sf x =\frac{4}{2}\\\end{gathered} \)

\(\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x=2 }}\\\end{gathered} \)

To prove that the argument is valid using propositional logic, we can apply logical rules and deductions. Let's break down the argument step by step:

(A + B) ^ (C V -B) ^ (-D --> C) ^ A ^ D

We will represent the proposition as follows:

P: (A + B)

Q: (C V -B)

R: (-D --> C)

S: A

T: D

From the given premises, we can deduce the following:

P ^ Q (Conjunction Elimination)

P (Simplification)

Now, let's apply the rules of disjunction elimination:

P (S)

A + B (Simplification)

Next, let's apply the rule of disjunction introduction:

C V -B (S ^ Q)

Using disjunction elimination again, we have:

C (S ^ Q ^ R)

Finally, let's apply the rule of modus ponens:

-D (S ^ Q ^ R)

C (S ^ Q ^ R)

Since we have derived the conclusion C using valid logical rules and deductions, we can conclude that the argument is valid.

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Answer:

24 teaspoons of yellow

Step-by-step explanation:

The ratio of blue to yellow is 6 to 8.

\( \frac{6}{8} = \frac{18}{y} \)

We see that y = 24 since 18 = 3 × 6 and

24 = 3 × 8.

0.5x + 6 = 4x - 1

3.5x = 7

x = 2

Only one solution exists for the given equation.

Answer:

one

Step-by-step explanation

For a polynomial function, the number of solutions, or zeros, is generally equivalent to the highest degree. For example, a cubic function (e.g. \(x^3+2x^2\)) has 3 real zeros (x=-2, x=0, and x=0) and a quadratic (e.g. \(x^2-1\)) has 2 real zeros (x=-1 and x=1).

For your problem, \(\frac{1}{2} (x+12)=4x-1\), the highest degree is 1 since this is a linear function. To prove there is only one solution, let's bring all the terms to one side, simplify, and solve for x.

There only one solution to the equation as shown above and as can be seen in step 4, the x is only to the first degree (\(x=x^1\)) which indicates that there is only one solution, 2.

-2 1/5

at least I think so lol

Answer:

B

Step-by-step explanation:

trust me bro  i gotchu

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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Answer:

Step-by-step explanation:

43 * .20 = 8.6 this is the discount

So subtract the discount from the price to get

43.00-8.60= $34.40

Answer:

400 cents in one hour

Step-by-step explanation:

3min=20cents

60 min=1hr

60/3=20

20*20=400 cents in one hour

Answer:

balls?

Step-by-step explanation:

Step-by-step explanation:

you can do it using the formula of ratio

Answer:

large dogs = 32

Step-by-step explanation:

small dogs to large dogs = 4: 3

total ratio = 7

large dogs = 4/7

total dogs = 56

large dogs = 4 x 56

                     7

large dogs = 32

The value of the variable a is 19.66 and the value of the valriable b is 20.21.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by the law of sines,

\(\rm \dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

Remember that we took

The sine angle is the length of the side opposite to that angle.

Then the third angle of the triangle will be

x + 75 + 35 = 180

                x = 70

\(\rm \dfrac{\sin 75^o}{b} = \dfrac{\sin 35^o}{12} = \dfrac{\sin 70^o}{a}\)

From the first two-term, we have

sin 75 / b = sin 35 / 12

b = 20.21

From the last two-term, we have

sin 70 / a = sin 35 / 12

a = 19.66

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Answer:

180

Step-by-step explanation:

cAN i have brainliest

Answer:

360 degress always

Step-by-step explanation:

three sided shape is 360

Answer:

92 km/h

Step-by-step explanation: