Solve the equation. \dfrac34 =m+\dfrac14 4 3 ​ =m+ 4 1 ​ start fraction, 3, divided by, 4, end fraction, equals, m, plus, start fraction, 1, divided by, 4, end fraction m=m=m, equals

The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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Answer:

F(-3)=12

F(2)=7

F(0)=3

F(5)=28

Step-by-step explanation:

Answer: False

Step-by-step explanation:

The only number that makes this impossible to solve is x = 0

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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Answer:

Step-by-step explanation:

4x² + 76 = 32

4x² = -44

x² = -11

but x² must be non-negative, so there is no real solution.

Answer:

D.

Step-by-step explanation:

Statistics has a lot of usage in business.

Using statistics as well as statistical tools helps in the provision of data to be used for business analysis. With available data we can get patterns in a a large database. Statistics can be used for auditing, as in question option b. For option c, statistics can be used for making business forecasts after the careful observation of trends and patterns that are in the data.

Option d does not make use of statistics. It has nothing to do with statistics neither does it have a computational feature.

Therefore, d.) questioning the executive's strategic decision is the answer to this question

Answer:

The value of x is 19.

Step-by-step explanation:

Given:

m∠1 = (4x + 9)°

m∠2 = (x - 14)°

Since m∠1 and m∠2 are complementary angles, we have:

m∠1 + m∠2 = 90°

Substituting the given expressions for m∠1 and m∠2:

(4x + 9)° + (x - 14)° = 90°

Combining like terms:

4x + 9 + x - 14 = 90

Combining the x terms and the constant terms:

5x - 5 = 90

Adding 5 to both sides:

5x = 90 + 5

Simplifying:

5x = 95

Dividing both sides by 5:

x = 95 / 5

Simplifying further:

x = 19

Answer:

12

Step-by-step explanation:

21-9=12 hope this helps :)

Given the system of equations:

-10x-15y=25...................................equation 1

x - 5y = -9.....................................equation 2

Let's solve using substitution method.

From equation 2, make x the subject:

x = -9 + 5y

Substitute (-9 + 5y) for x in equation 1:

-10(-9 + 5y) - 15y = 25

-10(-9) - 10(5y) - 15y = 25

90 - 50y - 15y = 25

90 - 65y = 25

Subtract 90 from both sides:

90 - 90 - 65y = 25 - 90

-65y = -65

Divide both sides by -66



The correct answers are A) 7cm, C) 9cm and D) 12cm

The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.

If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.

Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:

⇒  \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)

where y is the length of the line in real life. Solving for y, we get:

⇒  \(y = \frac{7 feet} {2cm} *x\)  

⇒  \(y = 3.5 x feet\)

If we put x = 2cm (given) then, y = 7 feet

For y = 21 feet, the value of x = 6cm.

Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.

So, the lines on the drawing that are greater than 21 feet in real life are:

A) 7cm, C) 9cm, D) 12cm

Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm

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Answer:

Step-by-step explanation:

Answer:

y = 2x - 5

Step-by-step explanation:

2x - y = 5

=> 2x = 5 + y

=> 5 + y = 2x

=> y = 2x - 5

Answer:

1/3

Step-by-step explanation:

The total number of purple cards are 3 and you are to find the probability of picking a purple card at random so the answer will be 1/3

Answer:

3/13

Step-by-step explanation:

Answer: First, calculate the total value of the shares after the price fall to $80:

value = 200 shares * $80/share = $16,000

Then, calculate the amount of money borrowed:

borrowed = $14,000 / (1 - margin requirement)

= $14,000 / (1 - 0.20)

= $14,000 / 0.80

= $17,500

Finally, calculate the percentage return on investment:

return = (value - borrowed) / borrowed * 100%

= ($16,000 - $17,500) / $17,500 * 100%

= -6.06%

The return on investment is -6.06%, meaning that the investment lost 6.06% of its value.

Step-by-step explanation:

Answer:

120 students

Step-by-step explanation:

300 / 5 = 60

60 times 3 = 180

300 - 180 = 120 students

120 students could be expected to NOT be wearing a jacket.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

total attendee= 300

if  3 out of the first 5 students that arrived were wearing a jacket

Then, the possibility wearing a jacket

=300 / 5

= 60

and, 60 times 3 = 180 wearing a jacket

Now, students could be expected to NOT be wearing a jacket

=300 - 180

= 120 students

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Answer:

gh1

Step-by-step explanation:

19 is prime and 29 is not divisible by 19 therefore 1g is the highest. 5 and 3 are both prime so again, 1h and finally, 5 is a prime number so gh1 is the greatest factor

Answer:

a=-20

Step-by-step explanation:

hope this helps!

Answer:

150

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

Area of a triangle is A = 1/2 b h

Plug in:

Area = 30

Height = 5

30 = 1/2 (5)b

Divide by 1/2:

30 / 1/2 = 60

60 = 5b

Divide by 5:

60 / 5 = 12

12 = b

Base = 12 feet

Answer:

A = 59.63cm^2

Step-by-step explanation:

You have the following function for the surface area of the container:

\(A=\pi r^2+\frac{100}{r}\)                (1)

where r is the radius of the cross sectional area of the container.

In order to find the minimum surface are you first calculate the derivative of A respect to r, to find the value of r that makes the surface area a minimum.

\(\frac{dA}{dr}=\frac{d}{dr}[\pi r^2+\frac{100}{r}]\\\\\frac{dA}{dr}=2\pi r-\frac{100}{r^2}\)         (2)

Next, you equal the expression (2) to zero and solve for r:

\(2\pi r-\frac{100}{r^2}=0\\\\2\pi r=\frac{100}{r^2}\\\\r^3=\frac{50}{\pi}\\\\r=(\frac{50}{\pi})^{1/3}\)

Finally, you replace the previous result in the equation (1):

\(A=\pi (\frac{50}{\pi})^{2/3}+\frac{100}{(\frac{50}{\pi})^{1/3}}}\)

\(A=59.63\)

The minimum total surface area is 59.63cm^2

Answer:

Y=-4x 2

Step-by-step explanation:

Answer:

C. a = 1, b = 8, c = -3

Step-by-step explanation:

.........

The area of the triangle with the given vertices is 11.5 square units.

The area of a triangle can be calculated using the coordinates of its vertices using the following formula.

To find the area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃), we can use the following formula:

A = (x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂))/2

Using this formula with the given vertices (0, 6), (2, −3), and (3, 4), we get:

A = (0(-3 − 4) + 2(4 − 6) + 3(6 − (-3)))/2

A = (0 - 4 + 27)/2

A = 23/2

A = 11.5

Therefore, the area of the triangle with the given vertices is 11.5 square units.

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The compound interest is solved and the amount in her account in 2047 is given by A = $ 1315.46

Given data ,

To determine how much money Carly has in her account after 37 years, we need to substitute the value of t as 37 into the equation:

P = 600(1.0375)^t

P = 600(1.0375)^37

P ≈ 600(1.0375)^37 ≈ 600(2.19243) ≈ $ 1315.46

Therefore , Carly has approximately $1315.46 in her account after 37 years.

To calculate the growth rate, we need to find the rate of change between the initial and final amounts over the given time period.

Regarding how long it takes for Carly's account to reach $750, we'll assume you mean when the account reaches or exceeds $750. Let's set up the equation and solve for t:

750 = 600(1.0375)^t

Dividing both sides by 600, we get:

1.25 = 1.0375^t

Taking the logarithm of both sides (base 1.0375):

log(1.25) = t * log(1.0375)

t ≈ log(1.25) / log(1.0375) ≈ 8.5 years

Hence , it takes approximately 8.5 years for Carly's account to reach or exceed $750

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Step-by-step explanation:

It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other .   Opposite angles are equal and adjacen angles sum to 180 degrees .

Then remember alternate angles are equal  and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one

Answer:

It's an arithmetic sequence. Instead of multiplying, you're adding 13. The answer is Tn=13n+25

Step-by-step explanation:

If you minus 38 from 51 (51-38), you get 13 and this 13 is constant throughout.

It's the same if you do (64-51).

Therefore 13 is our difference, we call it d.

Next you use the formula Tn=a+(n-1)d and substitute.

a is the first term of our sequence therefore it's a=38 and d=13.

We don't know n which is the number of terms.

When we sub its gonna be Tn=38+(n-1)(13)

And then you solve.

It appears to be a parallelogram. But without actual numerical data, I don't think it's possible to prove this or not. I could be missing something though.

Answer:

C. 48

Step-by-step explanation:

since it's the perimeter is 112 and the width is 8 ft you add 8 + 8 which is 16 and then you subtract it by 112 which gives you 96 then you divide 96 / 2 which gives you the answer of 48

Answer:

3316

Step-by-step explanation:

Hope it will help you

Answer:

4

Step-by-step explanation:

Answer:

Use Photo Math

Step-by-step explanation:

Answer: 0.045 is the growth rate.

Step-by-step explanation:

A generic exponential growth function can be written as:

f(t) = A*(1 + r)^t

where A is the initial amount.

t is the unit of time.

r is the rate of growth.

For example if we have an increase of 10% per year, with an initial population of 100 we have that:

A = 100, r = 10%/100% = 0.10, t = number of years.

the equation will be:

f(t) = 100*(1 + 0.10)^t

Now, in this case the equation is:

S(t) = 152*(1.045)^t

We can write this as:

S(t) = 152*(1 + 0.045)^t

Then 152 is the initial amount and 0.045 is the growth rate.