19. How many solutions does the equation -2(x + 4) = 2(x + 4) - 6 have?​

The proportion of the boards that will be greater than 122 inches is 84%

Given :

length of boards is listed as 10 feet is normally distributed with a mean of 123 inches and a standard deviation of 1 inch.

we are aske to determine what proportion of the boards will be greater than 122 inches = ?

we have :

μ = 123

σ = 122

now, let x denote the number of boards.

⇒ X ∼N (μₓ , σₓ²) X∼N(123,1)

⇒ P(X>122)=P( X- μₓ/ σₓ >  122-123/1)

⇒ P(Z > -1)

= 0.08413

= 84%

hence we get the value as 84%

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​

Answer:

sequence

Step-by-step explanation:

a sequence is essentially a set [group/list] of numbers, and each number has a specific placement [meaning that there is an order]

hope this helps!!

Answer: this, a set of number in an order, is called a sequence

fill in the blank: sequence

Answer:

x = 18

Step-by-step explanation:

1/2x - 7 = 1/3 (x- 12)

Multiply both sides by 3

3 * 1/2x - 3 * 7 = 3 * 1/3 (x - 12)

3/2x - 21 = x - 12

Collect like terms

3/2x - x = 21 - 12

1/2x = 9

Multiply both sides by 2

x = 2 * 9

x = 18

Answer:

x = 18

hope this helps! :)

The uncertainty in the best estimate for the length of the side of the block is approximately 0.0447 mm.

To determine the uncertainty in the best estimate for the length of the block side, we can consider the range of values obtained from the measurements. Since the uncertainty represents the possible deviation from the true value, the range of measurements can be used to estimate the uncertainty in the best estimate

To find the standard deviation represents the average amount of variation or spread among the measurements , we use the formula σ = Δb / √n, where σ is the standard deviation, Δb is the uncertainty in each measurement, and n is the number of measurements.

In this case, Δb = 0.1 mm and n = 5. Plugging these values into the formula, we get σ = 0.1 / √5 ≈ 0.0447 mm.

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The rank-nullity theorem states that for any matrix A, the sum of the rank of A and the dimension of the null space of A is equal to the number of columns of A. The answer is (a) Dim Row A = 5, Dim Col A = 5.

In this case, we know that the null space of the 7 x 6 matrix is 5-dimensional. Therefore, we can use the rank-nullity theorem to solve for the rank of A.
Number of columns of A = 6
Dimension of null space of A = 5
Rank of A = Number of columns of A - Dimension of null space of A
Rank of A = 6 - 5
Rank of A = 1
So the answer is (a) Rank A = 1. To find the dimensions of the row space and column space, we can use the fact that the row space and column space have the same dimension as the rank of the matrix.
Dim Row A = Rank A = 1
Dim Col A = Rank A = 1

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Answer:

\(2^{4}\)

Step-by-step explanation:

Answer:

2^4

Since the answer is 16.

The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

Answer: 11 adults

Step-by-step explanation:

1. Let x = number of children and y = number of adults

2. Set up an equation: x+y = 16

3. 6x = cost of children's tickets based on the number of children present

9y = cost of adult's tickets based on the number of adults present

4. Set up your second equation: The total cost of tickets is $129, so 6x+9y = 129

Your system of equations is now:

x +   y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

The mean value theorem states that if a function f(x) is continuous on the interval [a, b] and differentiable on (a, b), then there exists a value c in (a, b) such that:

f'(c) = (f(b) - f(a))/(b - a)

In this case, the interval is [2, 6]. So, we need to find the value(s) of c that satisfy:

f'(c) = (f(6) - f(2))/(6 - 2)

We can make an estimate based on the graph of the function.

If the graph of f(x) is a straight line between (2, f(2)) and (6, f(6)), then the derivative is constant over the interval [2, 6]. In this case, we can use the formula:

f'(c) = (f(6) - f(2))/(6 - 2) = (y2 - y1)/(x2 - x1)

where (x1, y1) = (2, f(2)) and (x2, y2) = (6, f(6)).

Solving for c, we get:

c = (x1 + x2)/2 = (2 + 6)/2 = 4

This is the only value of c that satisfies the conclusion of the mean value theorem in this case.

If the graph of f(x) is not a straight line, then we cannot make a simple estimate for c based on the graph alone.
To estimate the value(s) of c that satisfy the conclusion of the Mean Value Theorem (MVT) on the interval [2, 6], you need to follow these steps:

1. Identify the function, f(x), that you're working with.

2. Ensure the function is continuous on the interval [2, 6] and differentiable on the open interval (2, 6). This is required for MVT to be applicable.

3. Calculate the average rate of change (mean value) of the function over the interval [2, 6] by using the formula (f(6) - f(2)) / (6 - 2).

4. Take the derivative of the function, f'(x).

5. Set f'(x) equal to the mean value calculated in step 3 and solve for the value(s) of x, which will give you the value(s) of c that satisfy the MVT.

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Answer:

The slope or incline is -5

Step-by-step explanation:

rewrite to get the form

y = ...

x - 5y = -10

- 5y = -10 -x

divide left and right if the = sign by -5 gives:

(-5/-5)y = (-1/-5)x + (-10/-5)

y = 1/5x +2

So the incline is 1/5

a perpendicular line has an incline of -1 *5/1 = -5

The slope or incline is -5

The equations that could be used to find the weight of the blueberries Lacey has are given as follows:

B. x - 1 and 4/5 = x/5.

C. x/5 = x - 1 and 4/5.

E. x/5 + 1 and 4/5 = x.

The variable that represents the weight of the raspberries is given as follows:

x.

The variable that represents the weight of the blueberries is given as follows:

b.

She has 1/5 as many pounds of blueberries as raspberries, hence:

b = x/5.

If she picks 1 4/5 pounds more blueberries, she will have an equal weight of berries, hence:

b + 1 and 4/5 = x.

x/5 + 1 and 4/5 = x.

Thus the correct options are given as follows:

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Answer:

pneumonoultramicroscopicsilicovolcanoconiosis.

Step-by-step explanation:

If you search it up, pneumonoultramicroscopicsilicovolcanoconiosis, is the longest word.

Hope this helps!

Ammera's sweet= A

Dhabia's sweet= B

Dana's sweet= C

Ax2=B+2=C

After approximately 113 minutes, there will be only 40 bacteria remaining.

Half-life is defined as the time it will took a substance to reduce to half of its initial amount. The half-life of a substance is determined with respect to the rate of the reaction. It can be calculated using the formula below.

N(t) = N₀(1/2)^(t/T)

where N(t) = amount of substance remaining after time t

N₀ = initial amount of substance

t = time

T = half-life

If the sample begins with 500 bacteria, and after 16 minutes there are 350 bacteria, then

N₀ = 500, and N(t) = 350 when t = 16 minutes

Substitute the given values and solve for the half-life.

N(t) = N₀(1/2)^(t/T)

350 = 500(1/2)^(16/T)

T = 31.09 minutes

Using the formula, solve for t when n(t) = 40.

N(t) = N₀(1/2)^(t/T)

40 = 500(1/2)^(t/31.09)

t = 113.30 minutes

t ≅ 113 minutes

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Answer:

3x-10+25+x+15=180

4x+30=180

4x=180-30

4x=150

x=37.5

Answer:

37.5555

Step-by-step explanation:

the first five terms of the sequence are:

-4/5, -8/5, -12/5, -16/5, -4

To find the first five terms of the sequence with the nth term given by an = -4/5n, we substitute the values of n from 1 to 5 into the nth term expression.

For n = 1:

a1 = -4/5(1) = -4/5

For n = 2:

a2 = -4/5(2) = -8/5

For n = 3:

a3 = -4/5(3) = -12/5

For n = 4:

a4 = -4/5(4) = -16/5

For n = 5:

a5 = -4/5(5) = -20/5 = -4

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The relationship between w and s can be represented as s = 3w.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side

When 4 grams are added to the spring, the spring stretches 4 × 3 = 12 centimeters.

When 6 grams are added to the spring, the spring stretches 6 × 3 = 18 centimeters.

In this way, if w grams are added to the spring, the spring stretches w × 3 centimeters.

Let s represent the distance the spring is stretched.

s = 3w

Hence the required relationship is s = 3w.

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-6a + 10 = -27

First step: subtract 10 from both sides:

-6a = -37

Now divide both sides by -6:

A = -37/-6

Simplify:

A = 37/6

Answer:

a = 37/6

Step-by-step explanation:

-6a +10 = -27

Subtract 10 from each side using the subtraction property of equality

-6a+10-10 = -27-10

-6a = -37

Divide each side by -6 using the division property of equality

-6a/-6 = -37/-6

a = 37/6

Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.

In a Venn probability, two non-independent events are related to each other, as are their probabilities.

The "or probability" is given by:

\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\)

In this problem, the events are:

Event A: Brake defect.

Event B: Chain defect.

For the probabilities, we have that:

Substitute all the values in the formula

\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03\)

0.03 = 3% probability of a chain defect.

Hence, there is a 0.03 = 3% probability of a chain defect.

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Answer:

D

Step-by-step explanation:

Answer:

v=25 degrees

Step-by-step explanation:

The sum of angles in a triangle must always be 180 degrees. So you can create the equation 3x+2v+55=180. When you solve that, you will get v=25 degrees.

Answer: 60 m squared dimensions

6 m width

10 m length

Step-by-step explanation:

subtract 8 from the perimeter to account for 2 sides having the extra length then divide the answer by 4 to get the length if all the sides were equal

32-8=24

24/4=6

then add the 4 m back to the answer to get the length

Answer:

See below

Step-by-step explanation:

DOK 3

\( In\: \triangle ABC, \:\\

m\angle A + m\angle B + m\angle C = 180\degree \\\\

m\angle A + 76\degree + m\angle C = 180\degree \\\\

m\angle A + m\angle C = 180\degree - 76\degree \\\\

m\angle A + m\angle C = 104\degree \\\\

\frac{1}{2} (m\angle A + m\angle C) =\frac{1}{2}\times 104\degree \\\\

\red{\bold{\frac{1}{2} (m\angle A + m\angle C) = 52\degree}}... (1)\\\)

Since, AD and DC are bisectors of \( \angle A \: \&\: \angle C\) respectively.

\( m\angle DAC= \frac{1}{2}m\angle A... (2)\\\\

m\angle DCA= \frac{1}{2}m\angle C...(3) \\\)

Adding equations (2) & (3), we find:

\( m\angle DAC+m\angle DCA= \frac{1}{2}(m\angle A+m\angle C).... (4)\\\)

From equations (1) & (4)

\( m\angle DAC+m\angle DCA= 52\degree... (5)\\\\

In \triangle ADC, \\

m\angle ADC + m\angle DAC +m\angle DCA = 180\degree... (6)\\\\\)

From equations (5) & (6), we find:

\( m\angle ADC + 104\degree = 180\degree... (6)\\\\

m\angle ADC = 180\degree - 52\degree \\\\

\huge\purple {\boxed{m\angle ADC = 128\degree}}

\)

DOK 4:

Let the measures of the angels 1, 2 and 3 be 4x, 5x and 6x respectively.

Therefore,

4x + 5x + 6x = 180°

15x = 180°

x = 180°/15

x = 12°

4x = 4*12° = 48°

5x = 5*12° = 60°

6x = 6*12° = 72°

\( m\angle 1 = 48\degree \\\\

m\angle 2 = 60\degree \\\\

m\angle 3 = 72\degree \\\)

The volume of the pile which is a cone in shape is 5430.86 feet³.

Here we have to find the volume of the pile which is cone-shaped.

Data given:

Diameter(d) = 36 feet

radius(r) = 36/2 = 18feet

Height (h) = 16 feet

The formula for the volume of a cone:

Volume= 1/3 π r²h

Now put the values in the equation:

Volume = 1/3 × 22/7 × (18)² × 16

= 5430.86 feet³

Therefore the volume of the cone is 5430.86 feet³.

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\(\left(\dfrac{3^8}{3^5} \right)^3\\\\\\=\left(3^{8-5}\right)^3\\\\=(3^3)^3\\\\=(3)^{3\cdot 3}\\\\=3^9\)

Answer:

A

Step-by-step explanation:

becuase you end up with 25 squared which then symplifys to 5

Answer:

306m

Step-by-step explanation:

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there are better explainations there :)

you're looking for the perimeter, so you need to add all the sides. that's 55+55+98+98, which is 306.

Answer:

Hmmmmm. I think if you put it on quizziz or quizlet iy works