Point M is the midpoint of AB. Find AM.
2x + 34
6x + 26
+
A
M M
B

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer:

R

Step-by-step explanation:

Answer: 0.00923521

Step-by-step explanation:

Given : The probability U.S households play video or computer games=69%=0.69

here, the probability of each U.S household play video or computer games is fixed as 0.69

Then, the probability of each U.S household not play video or computer games= 1-0.69=0.31

For independent events the probability of their intersection is product of probability of each event.

Now, the probability that none play video/computer games will be :-

\((0.31)^4=0.00923521\)

Answer:

JAR WITH MARBLES.

There's

5 Blue Marbles

3 Red Marbles

2 Yellow Marbles

Pr = No of desired outcome/No of Possible Outcomes

No of Possible Outcomes = 10.

1. Pr(yellow) = 2/10 = 1/5.

2. Pr(Red) = 3/10

3. Pr(Blue) = 5/10 = 1/2

4. Pr(Yellow and Red) = 2/10 x 3/10 = 6/100 = 3/50.

5.Pr(Blue and Red)= 5/10 x 3/10 = 15/100 = 3/20.

6.Pr( Yellow and Blue) = 2/10 x 5/10 = 10/100 = 1/10.

THE CHIPS ARE PLACED IN A JAR AND MIXED.

No of Possible Outcomes = 8.

The Numbers are 1,2,3,4,5,6,7,8.

There's

4 Even Numbers

4 Odd Numbers

1. Pr(Even) = 4/8 = 1/2

2. Pr(Odd) = 4/8 = 1/2

3. Pr(Chip with Biggest No) = 1/8.

Reason. There can only be one Number which Is the biggest amongst all. So the Probability of picking it is 1.

4.Pr(Smallest Number) = 1/8 (Same concept).

5.Pr(Prime Number)

The prime Numbers above are 2,3,5,7

Pr(Prime) = 4/8 = 1/2.

Hope this helps!.

Answer:

9514 1404 393

Answer:

 $67,200

Step-by-step explanation:

The amount if interest is given by the formula ...

I = Prt

where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.

 P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025

 P = $67,200

The amount invested was $67,200.

Step-by-step explanation:

Answer:

\(t = 15.7\)

Step-by-step explanation:

Given

\(Principal = 25000\) --- P

\(Amount = 75000\) --- A

\(Rate = 7\%\) --- R

Required

Determine the time (t)

Using continuous growth formula:

We have

\(A = Pe^{rt}\)

Convert rate to decimal

\(Rate = 7\%\)

\(r = 0.07\)

Substitute values for A, P and r

\(75000 = 25000 * e^{0.07t}\)

Divide both sides by 25000

\(3 = e^{0.07t}\)

Rewrite the exponential function as logarithmic, we have:

\(ln3 = 0.07t\)

Reorder

\(0.07t = ln3\)

Divide both sides by 0.07

\(t = \frac{ln3}{0.07}\)

\(t = \frac{1.09861228867}{0.07}\)

\(t = 15.69\)

\(t = 15.7\)

Hence, the time is approximately 15.7 years

Answer:

Al got 150 dollars

Step-by-step explanation:

If we know for certain that Diane receives 100 dollars, than there is 900 left. If Al gets 150, then Bob, getting twice as much, would receive 300, and carol who gets three times as much would get 450. So 450+150+100+300=1000$

Answer:

324309

 doctors were registered that year.

Step-by-step explanation:

The questions says, "18.1% of all registered doctors are females"

(Consider, total number of registered doctors as \(x\))

that's, 18.1 % of \(x\) are female.

and 18.1% of \(x\) is 58,700

.

Answer:

i think you well read and answer

Step-by-step explanation:

Answer: cockme

Step-by-step explanation:

cockme

Answer:

If y varies directly as x, and x = 9 when y = 15, find y when

x = 33

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The definition of a function is that each input has only 1 output. That does not mean that 2 different inputs can not have the same output. A. shows that the number 3 has 2 outputs. My explaining is not that good but trust me.

Answer:

d

Step-by-step explanation:

i took the test

The area of the figure is 11. 27 cm²

The figure given is a parallelogram

The formula for the area of a parallelogram is given thus;

Area = base × height

From the figure, we have that

base = 2. 3 cm

height = 4. 9 cm

Substitute into the formula

Area = 2. 3 × 4. 9

Area = 11. 27 cm²

Thus, the area of the figure is 11. 27 cm²

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The total cupcakes the bakery sell that day is 80

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

Number of sales = 76

Proportion = 95%

This implies that

Number of sales = Proportion * Total number of cupcakes

Substitute the known values in the above equation, so, we have the following representation

76 = 95% * Total number of cupcakes

Divide both sides by 95%

Total number of cupcakes = 80

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Answer:

A) p(24) = 1884

B) Owen has been receiving lawn service for 39 months

Step-by-step explanation:

For A)

"Find p(24)" also means "Find the amount of money Owen pays for lawn service after 24 months" as we're given 24 for t. As such, rewrite the given function as p(24) = 108 + 74(24)

p(24) = 108 + 74(24)

p(24) = 108 + 1776

p(24) = 1884

For B)

If Owen paid a total of $2,994 up to date this means "p(t)" is equal to 2994. Remember p(t) is the total amount of money Owen gains after a certain time, (t)!

So:

p(t) = 108 + 74t

2994 = 108 + 74t

(2994 - 108) = 74t

2886 = 74t

t = 39

Put that into words: "Owen has been receiving lawn service for 39 months"

Answer:

Null Hypothesis: The proportion of clients satisfied at the uptown office is 76%.

Alternative Hypothesis: There is no difference in the satisfaction between the uptown and the downtown clients.

Null Hypothesis: The proportion of clients satisfied at the downtown office is greater than the proportion of clients satisfied at the uptown office.

Alternative Hypothesis: Downtown clients are less satisfied with the dental office staff than uptown clients.

Null Hypothesis: The proportion of clients satisfied at the downtown office is 84%.

Alternative Hypothesis: Uptown clients are more satisfied with the dental office staff than downtown clients.

Null Hypothesis: The proportion of clients satisfied at the downtown office is equal to the proportion of clients satisfied at the uptown office.  

Alternative Hypothesis: There is a difference in the satisfaction between the uptown and the downtown clients.

Step-by-step explanation:

pls mark as brainliest

The approximate effective interest rate of the loan is 19.12%, which corresponds to answer (B).

The formula for converting periodic interest rate to effective interest rate is

\($$(1+i_{eff})=(1+\frac{r}{m})^m$$\)

where \($i_{eff}$\)is the effective interest rate, r is the periodic interest rate, and m is the number of compounding periods in a year.

In this case, the loan has a single payment period of 11 days. To find the effective interest rate, we need to convert the periodic interest rate to an annual rate. There are different ways to do this, but one common method is to assume that a year has 365 days and use the following formula:

\($$i_{eff}=(1+\frac{r}{365})^{365/t}-1$$\)

where t is the time period in days.

Using this formula, we have:

\($$i_{eff}=(1+\frac{0.093}{365})^{365/11}-1\approx 0.1912$$\)

Therefore, the approximate effective interest rate of the loan is 19.12%, which corresponds to answer (B).

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Amy's claim is correct because each pair of the angles are supplementary. That is, sum up to 180°

From the question, we are to determine if Amy's claims are correct

From the given information,

Amy claims that

m∠4 + m∠5 = m∠10 + m∠9

In the diagram, we can observe that

m∠4 + m∠5 = 180°

This is because the pair of interior angles on the same side of the transversal are supplementary. That is, sum up to 180°

Also,

m∠10 + m∠9 = 180° (Sum of angles on a straight line)

Since each pair of angles are supplementary,

∴ m∠4 + m∠5 = m∠10 + m∠9

and

Hence, Amy's claim is correct

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The point-slope form of the line is:

Where m is the slope and the line passes through the point (x1, y1)

Given: the slope = m = -2

And the line passes through the point (-8,-1)

Substitute with the slope and the point into the equation of the line:

Solve the equation for y to get the slope-intercept form

So, the answer will be:

point-slope form ⇒ y+1 = -2(x+8)

slope-intercept form ⇒ y = -2x - 17

Answer:

That's the answer look at the picture

\( \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \underline{ \tt {x = - 12 \: and \: y = 10}}}}}✓}\)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

\( \small \sf \: x = - 12 \: \: and \: y = 10\)

Step-by-step explanation:

2x + 4y = 16.

-2x - 3y = -6

Add both equation ;

\( \small \sf \: \: \: \: \: 2x + 4y = 16 \\ + \small \sf \: \: \underline{ -2x - 3y = -6 }\\ \small \sf \: \: \: \: \: \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \blue{y = 10}} \)

Therefore , y = 10

Substitute the value of y in the first equation

2x + 4 = 16

2 x + 4 × (10) = 16

2x + 40 = 16

subtract 40 from both side

2x + 40 - 40 = 16 - 40

2x = - 24

divide each side by 2

2x/ 2 = - 24 / 2

x = - 12

Answer:

there aren't boys who have the numbers of marbles .

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

fist you convert 6l to ml=6×1000

then,300/300:6000/300

gives you 1:20

Answer:

2.0833...

Step-by-step explanation:

3 is on going

The correct trigonometric substitution for evaluating integral ∫√(x² + 64) dx is option B. x = 8 tan θ.

To evaluate the integral ∫√(x² + 64) dx using trigonometric substitution, use the substitution x = 8 tan θ.

Let's go through the steps to see how this substitution leads us to the solution:

1. Substitute x = 8 tan θ.

This implies dx = 8 sec² θ dθ.

2. Substitute the expression for x and dx in the integral:

∫√(x² + 64) dx becomes ∫√((8 tan θ)² + 64) * 8 sec² θ dθ.

3. Simplify the expression:

∫√(64 tan² θ + 64) * 8 sec² θ dθ = ∫√(64(sec² θ - 1)) * 8 sec² θ dθ.

4. Further simplify:

∫√(64sec² θ - 64) * 8 sec² θ dθ = ∫√(64sec² θ) * 8 sec² θ dθ.

5. Simplify the expression inside the square root:

∫8sec θ * 8 sec² θ dθ = ∫64sec³ θ dθ.

6. Integrate with respect to θ:

∫64sec³ θ dθ = 64∫sec³ θ dθ.

Now, this integral can be evaluated using standard trigonometric integral identities or integration techniques. However, it's worth noting that the original integral did not involve the variable θ, so we would eventually need to convert the result back to x by substituting x = 8 tan θ.

The correct answer is B. x = 8 tan θ.

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Answer:

The answer would lie within 31 degrees of MP and also as in PM.

Answer:

central m arc MP=118°

Step-by-step explanation:

here

central m arc MN=2* inscribed m arc MN=2*31=62°

again

central m arc MN+ central m arc MP=180° being linear pair

substituting value

62°+central m arc MP=180°

central m arc MP=180°-62°

central m arc MP=118°

Answer:

See Annex

Step-by-step explanation:

The relaxation of any Linear Programming problem, consists of eliminating the integer constraint condition, keeping the original constraint and the objective function, solving the problem as continuous variables. If in such new condition we find that optimal solution consist of integer solution we have found optimal solution already, if not we need to go ahead with the branching procedure of making variables integer above and down of the fractional values.

In this particular case ( see GeoGebra graphic solution attached changing x₁ and x₂ by x and y respectively ), and Objective Function in red we got integer solution :

z(max)  = 11

x₁  = x  = 2

x₂ = y  = 1