Solve for x:
|x – 4| +3=1

Answer:

We can use the formula for continuous compound interest to find the balance in Joseph and Deb's savings account after 1 year:

A = Pe^(rt)

where A is the balance, P is the principal (initial deposit), e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

Substituting the given values, we get:

A = $600.00e^(0.05*1)

Using a calculator, we get:

A ≈ $632.57

Therefore, Joseph and Deb will have approximately $632.57 in their savings account after 1 year. They can spend up to this amount on their trip. Rounded to the nearest cent, the answer is $632.57.

Answer:

The LCM of 15, 30, and 105 is 210

Step-by-step explanation:

15, 30, 105

Solution: List the prime factors of each.

15: 3 * 5

30: 3 * 10

105: 3 * 5 * 7

Multiply each factor the greatest number of times it occurs in any of the numbers.

The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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D. I and IV are the quadrants the cosine function is positive

To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.

The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.

Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.

Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.

Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.

Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.

It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.

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Answer:

The 95% confidence interval for the mean consumption of meat among people over age 29 is between 2.8 pounds and 3 pounds.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1-0.95}{2} = 0.025\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).

So it is z with a pvalue of \(1-0.025 = 0.975\), so \(z = 1.96\)

Now, find the margin of error M as such

\(M = z*\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

\(M = 1.96*\frac{1.4}{\sqrt{2092}} = 0.1\)

The lower end of the interval is the sample mean subtracted by M. So it is 2.9 - 0.1 = 2.8 pounds

The upper end of the interval is the sample mean added to M. So it is 2.9 + 0.1 = 3 pounds.

The 95% confidence interval for the mean consumption of meat among people over age 29 is between 2.8 pounds and 3 pounds.

Answer:

\(2.9-1.96\frac{1.4}{\sqrt{2092}}=2.84\)    

\(2.9+1.96\frac{1.4}{\sqrt{2092}}=2.96\)    

The confidence interval is given by \(2.84 \leq \mu \leq 2.96\)

Step-by-step explanation:

Information given

\(\bar X=2.9\) represent the sample mean

\(\mu\) population mean

\(\sigma =1.4\) represent the population standard deviation

n=2092 represent the sample size  

Confidence interval

The confidence interval is given by:

\(\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\)   (1)

Since the Confidence interval is 0.95 or 95%, the significance is \(\alpha=0.05\) and \(\alpha/2 =0.025\), and the critical value would be \(z_{\alpha/2}=1.96\)

Replacing the info we got:

\(2.9-1.96\frac{1.4}{\sqrt{2092}}=2.84\)    

\(2.9+1.96\frac{1.4}{\sqrt{2092}}=2.96\)    

The confidence interval is given by \(2.84 \leq \mu \leq 2.96\)

Answer:

The Answer is 12 feet

Step-by-step explanation:

This is my second account lol I just wanted to give Angie the brainliest!

Answer:

10 feet

Step-by-step explanation:

Answer:

Perp≈12.6 ft

Step-by-step explanation:

Since this is a right angled triangle, so we'll use the formula

Hypotenuse ²=base²+ perp²

Where hyp=14 , base=6

14²=6²+perpendicular ²

196= 36 + perp²

Perp²=196-36

Perp ²= 160

Taking sq root on both sides

Perp=12.649

Perp≈12.6 ft

Answer:

The guy above me is right 12.6

Step-by-step explanation:

hope he gets brainlist

Answer:

the value of a - b is 4.

Step-by-step explanation:

We have been given the following two equations:

a + b = 10 ------------(1)

a² - b² = 40 -------(2)

We can factor the left-hand side of equation (2) using the difference of squares identity:

(a + b)(a - b) = 40

Substituting equation (1) into this equation, we get:

10(a - b) = 40

Dividing both sides by 10, we get:

a - b = 4

Therefore, the value of a - b is 4.

Step-by-step explanation:

if I understand this correctly :

a + b = 10

a² - b² = 40

(a² - b²) = (a + b)(a - b) = 40

10(a - b) = 40

(a - b) = 4

Answer: c

Step-by-step explanation:

Answer:

the answe is a

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

given that V is directly proportional to u and inversely proportional to f , then the equation relating them is

V = \(\frac{ku}{f}\) ← k is the constant of proportion

(a)

to find k use the condition when u = 1 and f = 3 , V = \(\frac{1}{6}\) , then

\(\frac{1}{6}\) = \(\frac{k}{3}\) ( cross- multiply )

6k = 3 ( divide both sides by 6 )

k = \(\frac{3}{6}\) = \(\frac{1}{2}\)

V = \(\frac{u}{2f}\) ← equation of proportion

(b)

when f = 4 and V = 1 \(\frac{1}{4}\) = \(\frac{5}{4}\) , then

\(\frac{5}{4}\) = \(\frac{u}{2(4)}\) = \(\frac{u}{8}\) ( cross- multiply )

4u = 40 ( divide both sides by 4 )

u = 10

It asks for partial derivative, and you have to derive it with respect to 'y' variable.

\(f_y(x,y)=\frac{\partial f}{\partial y}=\frac{\partial}{\partial y}( 6x+2y+4)=2\)

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

The entire ocular micrometer ruler be in millimeters 2.3mm

For the scanning objective (4X),

the objective is the scanning power, The, power is 4X and the Diameter in mm is 2.3mm

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According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Complete question:

If sum of squares due to regression (SSR) is found to be 14,200 and sum of squares error (SSE) is 1525, then what is the value of total sum of squares (SST) ?

Answer:

The value of total sum of squares (SST) is 15,725.

Step-by-step explanation:

Given;

sum of squares due to regression (SSR) = 14,200

sum of squares error (SSE) =  1525

sum of squares (SST) = ?

The total sum of squares (SST) is given as the summation of the sum of squares due to regression (SSR) and sum of squares error (SSE);

SST = SSR + SSE

Substitute the given values and solve for SST.

SST = 14,200 + 1525

SST = 15,725

Therefore, the value of total sum of squares (SST) is 15,725.

The value of the total sum of square (SST) is the sum of the sum of square Regression (SSR) and the Sum of Square Error (SSE). Hence, the Total sum of Square , SST is 15725

Given the Parameters :

The Total Sum of Square (SST) is defined thus :

SST = 1525 + 14200

SST = 15,725

Therefore, the Total Sum of Square for the analysis of variance relationship ls 15,725.

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Answer:

50

Step-by-step explanation:

100/20 = 5

5 x 10 = 50

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

The unknown parameters in the question and their variables are;

An unknown parameter or variable is one which is not specified. They are the variables which are solved for in a problem or question

The parameters of the thunderstorm are;

The distance of the thunderstorm from the observer.

The time it takes the observer to hear the thunderstorm

The speed of the thunderstorm

From kinematics, we have;

Speed = Distance/Time

Therefore;

Distance = Speed × Time

Taking the speed of sound as 200 m/s, we have;

200 m = (1/5) × 1000 m = (1/5) × 1 km

Assumed speed of sound = (1/5) km/s

Distance = (1/5) km/s × Time

Distance = Time/5

The two unknowns are therefore;

The variables for the unknown are therefore;

Speed of the sound of the thunderstorm = v

The time of travel of the sound of the thunderstorm = t

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A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

c

Step-by-step explanation:

To find the x-intercept, we set y to 0 and solve for x:

0 = x + 8

x = -8

Therefore, the x-intercept is -8.

To find the y-intercept, we set x to 0 and solve for y:

y = 0 + 8

y = 8

Therefore, the y-intercept is 8.

Hopes this helps

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

its correct :)

Step-by-step explanation:

The required number of months are 12 months.

The program costs $35,000 per year, so it will cost $35,000/12 per month. The monthly cost is $2916.67, where "M" is the number of months it takes to cover the costs.

The following inequality can be constructed: the number of months required to recover the 35,000 is

2916.87M ≥ 35,000

   M ≥ 35,000/2916.67

   M ≥ 11.99

Thus, required number of months are 12 months.

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Completer question:

program x costs 35,000 anually but will save company c 40,000 in the first year. how many months will it take the company to recover its costs in program x

Answer:

2(x + 6)

Step-by-step explanation:

If we let the number be "x", then the sum of the number and six is x + 6. To find twice the sum, we multiply this expression by 2:

2(x + 6)

Therefore, the expression that represents twice the sum of a number and six is 2(x + 6)

Answer:

A is 55°

B is 60°

Step-by-step explanation:

A + 125° = 180° (since they're in a straight line, they're a linear pair. Sum of the angles equals 180°)

A = 180° - 125°

A = 55°

A + B + 65° = 180°

A, B and 65° are angles of a triangle, so the sum of these 3 angles equals 180°

A + B + 65° = 180°

Since angle A equals 55°,

55° + B + 65° = 180°

120° + B = 180°

B = 180° - 120°

Angle B equals 60°

The option that is true after the transformation is that; D) The segments share an endpoint.

Usually when we rotate a line segment about the origin in a clockwise manner, we will discover that the transformation rule is;

(x, y) = (y, -x)

Now, in this case it is not about the origin but about the point C and as such the coordinate C will not change after rotation as only the coordinate D will have a change in coordinate.

The coordinates of C and D originally are C(3,1) and D(7,4) .

Thus, the new coordinate of D will be;

D' (−(y − b) + a, (x − a) + b)

D'( (−(4 − 1) + 3, (7 − 3) + 1)

= D'(0, 5)

Using distance coordinate formula which is;

d = √((y₂ - y₁)²+ (x₂ - x₁)²)

where;

(x₁, y₁) is the coordinate of the first point on the line

(x₂, y₂)

CD = √((7 - 3)²+ (4 - 1)²)

CD = 5

Likewise;

CD' = 5

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Complete Question is;

Rey's teacher gave him the segment CD with end points C(3,1) and D(7,4) and asked him to rotate the segment 90 degrees clockwise about point C. Which of the following is true about the original segment and the result of the rotation? Group of answer choices

A) The segments have lengths with a ratio of 2:1.

B) The segments have lengths with a ratio of 1:2

C) The segments share both endpoints.

D) The segments share an endpoint.

Answer:

40000, 20000

Step-by-step explanation:

Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).

Thus, \(220000=2(2x)+7x=11x \implies x=20000\).

This means each grandchild gets $20,000 and each child gets $40,000.

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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