(x+5)^2=4 , How do I solve this by square roots?

Answer:

11360

Step-by-step explanation:

1:160::71:x

160 * 71 = x

x = 11360 rupees

Answer:

See below

Step-by-step explanation:

Answer:

1234567 -1-2-3-4-5-6-7

Step-by-step explanation:

the line is in there ithink its help

Answer:

Nick = 13 years old.

Step-by-step explanation:

Define the variables:

Given:

Create a system of equations with the given information and defined variables:

\(\begin{cases} w=n-5\\n+w=21\end{cases}\)

Substitute the first equation into the second equation and solve for n:

\(\implies n+(n-5)=21\)

\(\implies 2n-5=21\)

\(\implies 2n-5+5=21+5\)

\(\implies 2n=26\)

\(\implies 2n \div 2=26 \div 2\)

\(\implies n=13\)

Therefore, Nick is 13 years old.

To find the age of Will, simply substitute the found value of n into the first equation and solve for w:

\(\implies w=13-5\)

\(\implies w=8\)

Therefore, Will is 8 years old.

A) If the change in b results in a smaller feasible region, then the optimal objective value will either remain the same or increase.

B)  If the change in b results in a larger feasible region, then the optimal objective value may remain the same or decrease.

In linear programming, the objective is to minimize or maximize an objective function subject to certain constraints. One common constraint is that the solution must be in the feasible region, which is defined by the set of all solutions that satisfy the constraints.

Recall that the constraints are given by Ax >= b, where A is a matrix of coefficients and x is a vector of variables. If we increase one component of b, say bi, then the set of solutions that satisfy the constraints will change. Specifically, any solution that previously satisfied Ax >= b may no longer satisfy the constraints, since the left-hand side of the inequality is fixed while the right-hand side has increased. In other words, the feasible region may shrink or shift in response to the change in b.

Now let's consider the effect on the optimal objective value. Recall that the objective function is given by cx, where c is a vector of coefficients. The optimal objective value is the minimum (or maximum) value of cx over all solutions in the feasible region. If we increase one component of b, then the optimal objective value may or may not change, depending on the specifics of the problem.

To see why, let's think about what happens to the feasible region. As we noted above, the feasible region may shrink or shift in response to the change in b. If the optimal solution was previously at the boundary of the feasible region, then it may no longer be feasible, and the optimal objective value will increase. On the other hand, if the optimal solution was previously in the interior of the feasible region, then it may still be feasible, and the optimal objective value will remain the same.

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Answer:

okay i'll keep this in mind

Step-by-step explanation:

Answer:

16.7%

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x² - 3x - 6 = 0

Using the quadratic formula

\(x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \)

a = 2 , b = - 3 , c = 6

Substituting the values into the above formula

We have

\(x = \frac{ - - 3± \sqrt{ { - 3}^{2} - 4(2)( - 6)} }{2(2)} \)

\(x = \frac{3± \sqrt{9 +48 } }{4} \)

\(x = \frac{3± \sqrt{57} }{4} \)

\(x = \frac{3 - \sqrt{57} }{4} \: \: \: \: or \: \: \: \: \: x = \frac{3 + \sqrt{57} }{4} \)

We have the final answer as

Hope this helps you

Answer:

3.7%

Step-by-step explanation:

(p)principal=$3400

(t)time=9months=9÷12year=3÷4year

(i)interest=$94.50

(r)rate=?

we have

r%=i/(pt)

r%=94.50÷(3400×3÷4)

r÷100=94.50÷2550

r=0.37×100

r=3.7

required rate is 3/7%

Answer:

0.6

Step-by-step explanation:

You are told the equation is \(y = kx\)

You know the value of \(y\) is 48 when \(x\) is 80.

Therefore, we can substitute these answers into the equation:

\(48 = 80k\)

This means that to solve for \(k\), we must divide the 80 over:

\(k = \frac{48}{80} = \frac{6}{10} = \frac{3}{5} = 0.6\)

Therefore, \(k = 0.6\).

Answer:

19 minutes in 2 miles is how long it tool her to run it

Step-by-step explanation:

Answer:

9 1/2

Step-by-step explanation:

took test

Answer:

5/48

Step-by-step explanation:

So first multiply the numerators: 1 and 5. Multiplying 1 and 5 gets you 5.

Now multiply denominators: 8 and 6. That gets you 48.

So, after you multiply put it in a fraction and you get 5/48.

There is no need to simplify as it's already in its simplest form!

The explicit formula of the geometric sequence is given as follows:

\(a_n = 100(4)^{n-1}\)

The recursive formula of the geometric sequence is given as follows:

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio (q). In other words, a geometric sequence is a sequence where each term is a fixed multiple of the previous term.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

For the recursive formula, we just take the first term and each consecutive term is the previous term multiplied by the common ratio.

There are 100 views in day one, hence the first term is given as follows:

\(a_1 = 100\)

The number of viewers is multiplied by 4 each day, hence the common ratio is given as follows:

q = 4.

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Answer:

\(\textbf{HELLO!!}\)

\(2p=2\)

\(\frac{2p}{2}=\frac{2}{2}\) \(\hookleftarrow \mathrm{Divide\:both\:sides\:by\:}2\)

\(=1\)

\(\boxed{\boxed{\underline{\textsf{\textbf{P=1}}}}}\)

---------------------

\(q - 3 = 7\)

\(q-3+3=7+3\) \(\hookleftarrow \mathrm{Add\:}3\mathrm{\:to\:both\:sides}\)

\(=10\)

\(\boxed{\boxed{\underline{\textsf{\textbf{q=10}}}}}\)

-----------------------

\(\textbf{HOPE IT HELPS}\)

\(\textbf{HAVE A GREAT DAY!!}\)

The value of 'n' is 18 in the given equation 8n - 5 = 139.

We have to find the value of 'n'.

To do so, we need to solve the given equation.

Let us see how we can solve the given equation.8n - 5 = 139

We need to find the value of 'n'.

Let us bring the constant term to the right side by adding 5 to both the sides of the equation.8n - 5 + 5 = 139 + 5On simplifying, we get8n = 144Now, we need to isolate 'n' to find its value.

To do so, we divide both the sides by 8.8n/8 = 144/8On simplifying, we get n = 18

Therefore, the value of 'n' is 18.

Hence, the value of 'n' is 18 in the given equation 8n - 5 = 139.

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Answer:

2/5x6/7 = 12/35

Step-by-step explanation:

when we multiply fractions we multiply the denominators together and the numerators as well, so 2 x 6 = 12. and  5 x 7 =35

12/35

Answer:

27/1000

Step-by-step explanation:

P(G,G,G) = 3/10 x 3/10 x 3/10

Answer:

Step-by-step explanation:

Complementary is 90.

90-34 is 56.

Answer:

the answer is definately (5,-9)

Step-by-step explanation:

i just had that question on my test

hope this helps ;)

Answer:

A) Hypergeometric

B) P( X ≥ 2) = 0.7143

C) Standard deviation: σ = 0.7087

Mean = 1.875

Step-by-step explanation:

A) Y has Hypergeometric distribution. This is because, the population is not definite and is largely a finite number of people that have one of the two characteristics. Also, a sample of 8 was selected from this population and a random variable of interest that contained the number of people with one of the characteristics.

B) We are told total candidates were 8.

Thus; N = 8

3 were for local teaching positions, thus; n = 3

5 were for paid internship, thus; r = 5

Now, the formula for Hypergeometric distribution is;

P(y) = {(rCy) × [(N-r)C(n-y)]}/(NCn)

Where C represents combination.

Thus, probability that two or more candidates were hired is;

P( X ≥ 2) = P(2) + P(3)

Now, N - r = 8 - 5 = 3

For P(2); n - y = 3 - 2 = 1

For P(3); n - y = 3 - 3 = 0

Thus;

P(2) = {(5C2) × (3C1}/(8C3)

P(2) = 30/56

P(2) = 0.5357

P(3) = {(5C3) × (3C0}/(8C3)

P(3) = 10/56

P(3) = 0.1786

Thus;

P( X ≥ 2) = 0.5357 + 0.1786

P( X ≥ 2) = 0.7143

C) Formula for standard deviation in Hypergeometric distribution is;

σ = √[(nr/N) × ((N - r)/n) × ((N - n)/(N - 1))]

nr/N = (3 × 5/8) = 15/8

((N - r)/N) = (8 - 5)/8 = 3/8

((N - n)/(N - 1)) = (8 - 3)/(8 - 1) = 5/7

σ = √((15/8) × (3/8) × (5/7))

σ =√0.5022

σ = 0.7087

Formula for mean in Hypergeometric distribution is;

E(Y) = nr/N = 3 × 5/8 = 1.875

The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Answer:

1 hr

i think if im wrong im super sorry

Step-by-step explanation:

Answer:

w=59 feet

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving for w

w=P/2﹣l = 230/2﹣56

= 59 feet

Hope this helps!

Answer:

Step-by-step explanation:

59 feet

Distributing over parentheses,

Adding r at both sides,

Adding 3 at both sides,

Dividing by -17 at both sides,

In response to the stated question, we may state that As a result, the equation's answer is x = 0.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the equation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

4x = 864x is the provided equation.

This equation may be simplified by deleting 4x from both sides:

\(860x = 0\)

This equation may now be rewritten in factored form:

\(860x = 0 \sx(860) = 0\)

We know from the zero-product principle that if the product of two elements is zero, then at least one of them must be zero. As a result, we may set each component to zero and solve for x:

x = 0 or 860 = 0 (which is impossible) (which is impossible)

As a result, the equation's answer is x = 0.

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The number of hours Matt babysits his sister is 1 and half hours.

Given that, Matt's parents pay him $5.50 for each half hour he babysits his sister, plus a two dollar tip.

Let the number of half an hours Matt babysits his sister be x.

Matt made $18.50

So, equation is 5.50x+2 =18.50

5.50x=16.50

x=16.50/5.50

x= 3

Which means 1 and half hours he babysits his sister.

Therefore, the number of hours Matt babysits his sister is 1 and half hours.

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If a two-digit positive integer has its digits reversed ,The one differ with another by 3.

What in math is an integer?

A full number (not a fraction) that can be positive, negative, or zero is called an integer (pronounced IN-tuh-jer).

                            Integer examples include: -5, 1, 5, 8, 97, and 3,043. The numbers -1.43, 1 3/4, and 3.14 are examples of non-integer numbers.

The two digit has one at one's place and other at ten's place ;

The no. can be written as the sum of one's place digit and 10 multiplyed to the ten's digit !

For e.g. , We have a no. 36 , in which 6 is at one's place and three is at ten's place

So, 36 = 6 + 10 ( 3 )

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By using the concept of control chart, it can be concluded that

A large number of plots are on or near the centerline.

Third option is correct.

What is control chart?

Control chart is used to show how a process changes over time.

There are three lines in a control chart.

They are the central line for the average, upper line for the Upper Control Limit (UCL) and a lower line for the Lower Control Limit (LCL)

It is known that the highest performance of a process is obtained when it is between the LCL and the UCL.

That means to get the best result, samples needs to be concentrated near the centerline.

So the third option is correct

A large number of plots are on or near the centerline.

Third option is correct.

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Complete Question

Quality control charts usually have a central line and upper and lower control limit lines. Which of the following is not a reason that the process being monitored with the chart should be investigated?

A sudden and sustained shift in the plots toward the upper or lower control limit

There is an upward trend in the plots

A large number of plots are on or near the central line

A single plot falls outside of the control limits

Answer:

24 m

Step-by-step explanation:

it is 24metre ok......

The greatest circumference is 25.12 meters.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

A circle with a radius of 4 meters.

Circumference.

= 2πr

= 2 x 3.14 x 4

= 25.12 meters

A circle with a diameter of 7 meters

Radius =  7/2 meters

Circumference.

= 2πr

= 2 x 3.14 x 7/2

= 21.98 meters.

A circle with a circumference of 24 meters

Circumference = 24 meters

A circle with a circumference of 5 pi

Circumference = 5π

= 5 x 3.14

= 15.7 meters

Thus,

The greatest circumference is 25.12 meters.

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