In parallelogram MNPQ if
m
∠
�
�
�
=
13
5
∘
m∠PQM=135
∘
find
m
∠
�
�
�
m∠MNP.

Answer:

Step-by-step explanation:

In exponent division, if bases are same, then subtract the powers.

\(\dfrac{x^{7}y^{3}}{xy^{-4}} = x^{7-1}*y^{3-(-4)}\\\\\\=x^{6}*y^{3+4}\\\\=x^{6}y^{7}\)

Hello!

Recall the Properties of Exponents:

\(\bold{\displaystyle\frac{a^m}{a^n} =a^{m-n}}\)

Let's use it to simplify:

\(\bold{\displaystyle\frac{x^7y^3}{xy^{-4}}}\)

x = x¹

\(\bold{\displaystyle\frac{x^6y^3}{y^{-4}}}\)

\(\bold{\displaystyle\frac{x^7y^3}{y^{-4}}}\)

Subtract:

\(\bold{x^6y^{3-(-4)}}\)

Which is the same as

\(\bold{x^6y^{3+4}}\)

Final Answer:

\(\huge\boxed{\mathfrak{Answer:{\boxed{\star{\boxed{\bold{x^6y^7}}}}}}}\)

Hope everything is clear.

Let me know if you have any questions!

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\(\boxed{An~emotional~teen~willing~to~help~you}\)

Given the inequalities:

The solution to the first inequality:

The solution to the second inequality:

We will find the intersection between the intervals

So, the answer will be:

Answer:

The answer is 207 ft^2

Step-by-step explanation:

Answer:

207

Step-by-step explanation:

Hey There!

So the first step is to solve for the figure with a length of 9 and a width of 15

15x9=135

The other figure has a length of 12 and a width of 6

6x12=72

No we just add them

135+72=207

therefore 207 is your answer

The given expression is equivalent to the expression of the fraction \(\dfrac{2^{\frac{10}{9}}}{3}\).

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The given expression as

\(\dfrac{(\dfrac{8}{12 } \times 3)^1 }{3} \times 2^\frac{1}{9}\)

Apply the arithmetic operation and reduce the fractions,

\(\dfrac{(\dfrac{2}{3 } \times 3)^1 }{3} \times 2^\frac{1}{9}\)

\(\dfrac{2}{3 } \times 2^\frac{1}{9}\)

\(\dfrac{2^{1+\frac{1}{9}}}{3}\)

\(\dfrac{2^{\frac{10}{9}}}{3}\)

Therefore, the given expression is equivalent to the expression of the fraction \(\dfrac{2^{\frac{10}{9}}}{3}\).

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Answer:

She borrowed php4737.00.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

\(E = P*I*t\)

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

\(T = E + P\)

6% interest:

This means that \(I = 0.06\)

19 months:

An year has 12 months, so \(t = \frac{19}{12} = 1.5833\)

She paid an interest of php 450. How much money did she borrow​

This is P when \(E = 450\). So

\(E = P*I*t\)

\(450 = P*0.06*1.5833\)

\(P = \frac{450}{0.06*1.5833}\)

\(P = 4737\)

She borrowed php4737.00.

The given equation, -6 1/4x = -3 1/8, solved for is x = 1/2

From the question, we are to solve the given linear equation.

The given linear equation is

-6 1/4x = -3 1/8

To solve the equation,

First, we will convert the fractions to improper fractions

-6 1/4x = -3 1/8

-25/4x = -25/8

Multiply both sides of the equation by -4/25

-4/25 × -25/4x = -4/25 × -25/8

x = 1/2

Hence, the value of x is x = 1/2

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let's bear in mind that complex roots never come alone, their conjugate sister is always with her, so if we have the complex root of "i" or namely "0 + i", her conjugate is also coming along, or "0 - i", so we really have four roots, so

\(\begin{cases} x = 0+i &\implies x -i=0\\ x = 0-i &\implies x +i=0\\ x = \sqrt{2} &\implies x -\sqrt{2}=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\stackrel{\textit{we are assuming that}}{a=1} \\\\\\ 1( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y\implies ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y \\\\[-0.35em] ~\dotfill\)

\(\stackrel{ \textit{difference of squares} }{( x -i )( x +i )}\implies x^2 - i^2\implies x^2-(-1)\implies x^2+1 \\\\[-0.35em] ~\dotfill\\\\ (x^2+1)( x -\sqrt{2} )( x -3 )\implies (x^2+1)(x^2-3x-x\sqrt{2}+3\sqrt{2}) \\\\\\ (x^2+1)[x^2-x(3+\sqrt{2})+3\sqrt{2}] \\\\\\ x^4-x^3(3+\sqrt{2})+3x^2\sqrt{2}+x^2-x(3+\sqrt{2})+3\sqrt{2} \\\\\\ \boxed{x^4-x^3(3+\sqrt{2})+x^2(3\sqrt{2}+1)-x(3+\sqrt{2})+3\sqrt{2}~~ = ~~y}\)

Answer:

30 cedis

Step-by-step explanation:

todays earning = yesterdays earning * 60/100

50 * 60/100 =30

A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).

The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".

These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).

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Answer:

How many pink erasers do the students in your class have?

Answer:

3.34 containers

Step-by-step explanation:

I always say: Recognize our numbers

8.35 2.5

"Holds 2.5 kg"

8.35 divided by 2.5

=3.34

The various answers to the question are:

a)

A number of extension lines needed to accommodate $90 in calls immediately:

Use the calculation for busy k servers.

\($$P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$$\)

The probability that 2 servers are busy:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{2}=\frac{\frac{\left(\frac{20}{12}\right)^{2}}{2 !}}{\sum_{i=0}^{2} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

Hence, two lines are insufficient.

The probability that 3 servers are busy:

Assuming 3 lines, the likelihood that 3 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{2} \frac{\left(\frac{\lambda}{\mu}\right)^{i}}{i !}}$ \\\\$P_{3}=\frac{\frac{\left(\frac{20}{12}\right)^{3}}{3 !}}{\sum_{i=0}^{3} \frac{\left(\frac{20}{12}\right)^{1}}{i !}}$$\approx 0.1598$\)

Thus, three lines are insufficient.

The probability that 4 servers are busy:

Assuming 4 lines, the likelihood that 4 of 4 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$ \\\\$P_{4}=\frac{\frac{\left(\frac{20}{12}\right)^{4}}{4 !}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{7}}{i !}}$\)

Generally, the equation for is  mathematically given as

To answer 90% of calls instantly, the organization needs four extension lines.

b)

The probability that a call will receive a busy signal if four extensions lines are used is,

\(P_{4}=\frac{\left(\frac{20}{12}\right)^{4}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{1}}{i !}} $\approx 0.0624$\)

Therefore, the average number of extension lines that will be busy is Four

c)

In conclusion, the Percentage of busy calls for a phone system with two extensions:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{j}=\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}$$\\\\$P_{2}=\frac{\left(\frac{20}{12}\right)^{2}}{\sum_{i=0}^{2 !} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

For the existing phone system with two extension lines, 34.25 % of calls get a busy signal.

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Answer:

he values of F(x) between x=1 and x=3 are 1, 4, and 9.

Step-by-step explanation:

To find the value of F(x) between x=1 and x=3, we need to substitute the values of x into the given function F(x) = x^2 and evaluate the function at each value. This gives us:

F(1) = 1^2 = 1

F(2) = 2^2 = 4

F(3) = 3^2 = 9

Therefore, the values of F(x) between x=1 and x=3 are 1, 4, and 9.

We can use the Law of Cosines to solve for angle C:

cos C = (a^2 + b^2 - c^2) / (2ab)

where b is the length of side BC.

We know that B = 40 degrees, so we can find the measure of angle A:

A = 180 - B - C

A = 180 - 40 - C

A = 140 - C

We also know that the sum of the angles in a triangle is 180 degrees, so:

A + B + C = 180

140 - C + 40 + C = 180

180 = 180

This checks out, so we can continue with solving for angle C:

cos C = (a^2 + b^2 - c^2) / (2ab)

cos C = (7^2 + b^2 - 10^2) / (2*7b)

cos C = (49 + b^2 - 100) / (14b)

cos C = (b^2 - 51) / (14b)

We can use the Law of Sines to solve for b:

sin B / b = sin A / a

sin 40 / b = sin (140 - C) / 7

b = sin 40 * 7 / sin (140 - C)

Now we can substitute this value of b into the equation for cos C:

cos C = (b^2 - 51) / (14b)

cos C = [(sin 40 * 7 / sin (140 - C))^2 - 51] / (14 * sin 40 * 7 / sin (140 - C))

Simplifying this equation and solving for cos C, we get:

cos C = 11/14

Therefore, angle C is:

C = cos^-1(11/14)

C ≈ 38.8 degrees

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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63%

First, we have to take 20.00 - 7.40 which gets us 12.60.

Then, we use the formula where we put the 12.60 on top of a fraction bar, and the 20.00 on bottom.

We do 12.60 x 100 which makes 1260.

Lastly, we divide that by the 20.00 which gets us 63.

So, Julie has 63% of her money left.

I hope this helped!!!

Answer:

Assuming that \( \overline{AOC} \) is a diameter.

Given that \( m\angle{BAC} \: = \: 66° \)

And that point O is the center of the circle

\( \boxed{m\angle{BAC} \: = \: 57°} \)

Explanation:

Because angle AOB is subtended by arc AB from point O.

Arc AB is equal to the measure of that angle.

Since arc ABC is subtended by the diameter, the arc is 180°.

Answer:

I hope it works for u

Step-by-step explanation:

if u want for week 2 than its

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The equation represents of Bob’s distance is D = 1/4t

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The table of values

On the table of values, we can see that

The distance multiplied by 4 gives the time

Mathematically, this is represented as

4 * D = t

Divide by 4

D = 1/4t

Hence, the equation is D = 1/4t

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The system of equations is.

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

And the solutions are y = 50 and x = 10.

Let's define the two variables:

With the given information we can write two equations, then the system will be:

\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)

Now let's solve it.

We can isolate x on the first  to get:

\(\text{x} = 60 - \text{y}\)

Replace that in the other equation to get:

\(15\times(60 - \text{y}) + 10\text{y} = 800\)

\(-2\bold{y} = 900 - 800\)

\(-2\bold{y} = 100\)

\(\text{y} = \dfrac{100}{-2} = \bold{50}\)

Then \(\bold{x=10}\).

Therefore, the solutions are y = 50 and x = 10.

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The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

Answer:

slope= 5/3      y-intercept=3

Step-by-step explanation: Equation=   y=5/3x+3

Hope this helps

btw can i have brainliest?

Answer:

60

Step-by-step explanation:

Let the points scored by Dan, Joe and Mike be D, J and M respectively.

Given that Mike scored an amount equal to the 6th multiple of 9.

Therefore, it can be expressed as,

M = 6 x 9 = 54 ---------- (i)

It is also given that, Dan scored 5 times as many points as Joe in a basketball game.

Therefore, it can be expressed as,

D = 5J ---------- (ii)

Finally, it is given that, the 3 boys scored a total of 126 points.

Therefore, it can be expressed as,

D + J + M = 126

From equations (i) and (ii), we get,

5J + J + 54 = 126

6J + 54 = 126

6J = 126 - 54

6J = 72

Therefore, J = 72/6 = 12

From equation (ii),

D = 5J

Therefore, D = 5 x 12 = 60

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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Answer:

7

Step-by-step explanation: You would divide 14 by 2 which then equals(=) 7.

7 Apartments for each floor.

Step-by-step explanation:

\(\sf{ 2 |{\underline{84,102,100}}}\)

\(\sf{ 2|{\underline{42,51,50}}}\)

\(\sf {3|{\underline{21,17,25}}}\)

\(\sf {5|{\underline{7,17,25}}}\)

\(\sf {\:\:{7,17,5}}\)

Answer:

Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.

Step-by-step explanation:

Answer:

I can't see it that wel..?m

The volume of the bottle is 56.52 cubic inches, and the density is 22.12 g/in³.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 ).

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given that:

Diameter = 3 in

Radius r = diameter/2 = 3/2 = 1.5 in

Height h = 8 in

Mass m = 1250 g

Find the volume:

V = π × r² × h

V = 3.14 × (1.5 in )² × 8in

V = 56.52 in³

Find the density:

p = m / v

p = 1250g / 56.52 in³

p = 22.12 g/in³

Therefore, the density is 22.12 g/in³.

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