The slope of a linear function h(x) is 2. Suppose the function is translated 8 units up to get d(x) How can h(x) be translated to the left or right to represents the same function d(x) ?
Explain your answer.

Given = b = 20cm, A = 500cm2 l=?

A = l×b,

500= l×20

l= 25

THE LENGTH IS 25 CM

Answer:

25 cm

Step-by-step explanation:

area of a rectangle = length × breadth

500 = length × 20

500/ 20 = length

25 = length

therfore, the length of the rectangle is 25 cm

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

..........................

Using the future value formula, it is found that the value of the account after the tenth deposit is of $26,361.59.

The future value formula is given by:

\(V(n) = P\left[\frac{(1 + r)^n - 1}{r}\right]\)

In which:

For this problem, the parameters are given as follows:

P = 2000, r = 0.06, n = 10.

Hence the value of the account will be of:

\(V(10) = 2000\left[\frac{(1 + 0.06)^{10} - 1}{0.06}\right]\)

V(10) = $26,361.59.

The complete problem is:

"Suppose that there is an account that pays 6% interest that is compounded annually. At the beginning of each year, $2,000 is deposited into the account (starting with $2,000 for the first year).

What will be the value of the account after the tenth deposit if no withdrawals or additional deposits are made?"

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Answer:

127

Step-by-step explanation:

The required it will take 2 hours for the friends to put 7 km between them.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let's call the number of hours it takes the friends to be "x". During that time, Rae will have traveled 2x km. And Dana will have traveled 3(x-1) km (since she left an hour later).

We can now set up an equation:

2x + 3(x-1) = 7

Expanding the second term:

2x + 3x - 3 = 7

Combining like terms:

5x - 3 = 7

Adding 3 to both sides:

5x = 10

Finally, dividing both sides by 5:

x = 2

So it will take 2 hours for the friends to put 7 km between them.

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Step-by-step explanation:

Area of a circle: π×r²

1. 3.14×3.5²

= 38.468m²

m2. 3.14×15dm²

= 706.5dm²

3. 3.14×10cm²

= 314cm²

4. 3.14×8.5cm²

= 226.885cm²

5. Diameter ÷ 2 = Radius

= 8m ÷ 2 = 4m

3.14×4m²

= 50.24m²

The first user who answer is correct :)

Answer:

True

Step-by-step explanation:

In order to grow, a plant needs all the radient energy that it can get.

Answer:

Correct numbers, wrong format

Step-by-step explanation:

Remember the figure is continuous so it should be written as an inequality:

D:(-7<x<-1)

R:(-6<x<-3)

Answer:

The area of given rectangle is 5/18 square feet.

Step-by-step explanation:

Let l be the length of rectangle and w be the width of the rectangle.

Given information is:

Length = l = 5/12 foot

Width = w = 2/3 foot

The area of a rectangle is given by the formula

\(Area = Length*Width\\A = l*w\)

Putting the values for width and length

\(A = \frac{5}{12} * \frac{2}{3}\\= \frac{10}{36}\\=\frac{5}{18}\)

The area is 5/18 square feet.

Hence,

The area of given rectangle is 5/18 square feet.

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

Explanation:

Given that:

h(x) = 5x - 3

m(x) = -2x^2,

To find

We first of all need to find

Substituting x = 5 in the last equation, we have:

The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).

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Answer:

false

Step-by-step explanation:

Given:-

To find the simplified form:-

So now we simplify the given equation by taking the common terms outside.

So we get,

So the simplified form is,

Answer:

the difference of m and 5 is graeter than 10

Answer:

324 teachers

Step-by-step explanation:

3 teachers of every 50 students

__ teachers of 5400 students

so,

\(5400 \div 50 = 108\)

therefore,

\(3 \times 108 = 324\)

Answer:

noun. Britannica Dictionary definition of SELLING PRICE. [singular] : the price for which something actually sells. They asked $200,000 for the house, but the eventual selling price was $175,000.

Answer:

84

Step-by-step explanation:

7-5=2

2u-> 14

1u->7

7+5=12

12u-> 84

Answer:

boy=5  girls=7 + 14= 21 girls

Step-by-step explanation:

Answer:

Amelia is 264 inches

Step-by-step explanation:

do 22 ×12 because at birth she was 22 inches and now she is 12 months.

Answer:

The slope is 0

Step-by-step explanation:

The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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Answer:

Based on the graph, we can estimate the values of p and q as follows:

The total number of hours worked by the 200 people is the maximum value on the y-axis of the cumulative frequency graph, which appears to be around 2100 hours.

The value of p corresponds to the number of people who worked between 35 and 50 hours per week. According to the frequency table, this is 70 people. From the graph, we can estimate that the corresponding cumulative frequency is around 130 people.

The value of q corresponds to the number of people who worked more than 50 hours per week. According to the frequency table, this is 30 people. From the graph, we can estimate that the corresponding cumulative frequency is around 160 people.

Using this information, we can calculate the values of p and q as follows:

p = 130 - 60 = 70

q = 200 - 160 = 40

Therefore, the estimated values of p and q are 70 and 40, respectively.

a) The interest if computed using simple interest for 3 years at 2% is $120.

c) The interest when compounded continuously for 3 years at 2% is $123.67.

d) The difference in total interest between using simple interest and continuously compounding is $3.67.

Simple interest is a straightforward way of computing the interest paid on a loan.

The formula for calculating simple interest is P x R x T, where P = Principal, R = Rate, and T = Time.

The formula for continuous compounding first computes the future value (FV) from which the present value (PV) is deducted, as follows:

FV = PV x e ^ (i x t), where e is the mathematical constant approximated as 2.7183.

Principal = $2,000

Rate of interest = 2%

Period = 3 years

Simple Interest = $120 ($2,000 x 2% x 3)

Continuous compounding = FV - PV

FV = $2,000 x 2.7183 ^ (0.02 x 3)

= $2,000 x 1.06183697

= $2,123.67

Interest = $123.67 ($2,123.67 - $2,000)

The difference in total interest = $3.67 ($123.67 - $120)

Thus, continuous compounding produces a difference in the interest of $3.67 when compared to simple interest.

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Answer:

5x 2

Step-by-step explanation:

Answer:

Brians milk is more chocolaty

Step-by-step explanation:

The conclusion is option A, we cannot reject the null hypothesis.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

The null hypothesis cannot  be rejected for the entire population if your sample is not sufficiently incompatible with it, which can be determined if your P value is small enough.

Therefore, we can not reject the hypothesis.

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Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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