The cost of producing x units of a product is $1.25 per unit plus $1,000 in flat production costs. If you spend $3,000 on production costs, how many units were produced?

3,000=1.25x+1,000

Answer:

The kite is 10.8 m above the ground.

Step-by-step explanation:

Here we can make a triangle rectangle like the one shown in the graph below, where we want to find the value of the cathetus X, and that plus 1.2m will be the distance between the kite and the ground.

Notice that X is the opposite cathetus to the 40° angle, then:

We can use the relation:

Sin(θ) = (opposite cathetus)/(hypotenuse)

where, in our case, we have:

θ = 40°

hypotenuse = 15m

opposite cathetus = X

Replacing these in the equation, we get:

Sin(40°) = X/15m

Now we can solve this for X.

Sin(40°)*15m = X = 9.6m

And the actual height of the kite is X + 1.2m

Then:

H = 9.6m + 1.2m = 10.8m

The kite is 10.8 m above the ground.

55 x 7 = 385

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Answer:

28:12

Step-by-step explanation:

28 divided by 4 is 7

12 divided by 4 is 3

9514 1404 393

Answer:

  8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

  1.012^500

The number of doublings is the solution to ...

  2^n = 1.012^500

Taking logarithms, we have ...

  n·log(2) = 500·log(1.012)

  n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

Answer:

3(2+y) is the correct answer

Answer: 3 (2 + y)

Hope this helps!

becouse The size does not differ whether it is big or small, the degree remains the same

Answer:

c

Step-by-step explanation:

Answer:

344343234

Step-by-step explanation:

Answer:

[tex]g(x) = 3^{x -4}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3^x[/tex]

g(x) = f(x) 4 units left

Required

Find g(x)

When a point is translated 4 units left, the rule is:

[tex]x \to x - 4[/tex]

So, we have:

[tex]g(x) = f(x-4)[/tex]

[tex]f(x-4)[/tex] is calculated as:

[tex]f(x-4) = 3^{x -4}[/tex]

Hence:

[tex]g(x) = 3^{x -4}[/tex]

Answer:

-5/3

Step-By-Step-Solution:

Reciprocal of-3/8 = -8/3

Product = 5/8 × -8/3 = -5/3

Hope that this helps!

Answer:

5

Step-by-step explanation:

We will solve using the Pythagorean theorem.

The difference in the x value is 4. The difference in the y value is 3. A nice, easy to remember, right angle triangle has sides of three, four, and a hypotenuse of five.

But we were lucky here that we could do this in our heads and from memory: 3² + 4² = 5²

The general formula would be:

distance² = (∆x)² + (∆y)²

distance = √[ (14-10)² + (5-2)² ]

= √[ 4² + 3² ]

= √[ 16 + 9 ]

= √[ 25 ]

= 5

Answer:

Quantitative data

Step-by-step explanation:

The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."

Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.

Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.

Answer:

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

Step-by-step explanation:

Here,  

The null hypothesis is p = 0.73

Alternate hypothesis is p> 0.73

The level of significance = 0.10 or 10%

Sample size = 23

Sample proportion = 19/23 = 0.826

Z test statistics  

= (p’-p)/Sqrt ((p(1-p)/n))

Substituting the given values, we get –  

Z = (0.826-0.73)/Sqrt ((0.73(1-0.73)/23)) = 1.037

Thus, the P values for Z>1.037  

= 1- P(Z less than or equal to 1.037)

= 1- 0.8501

= 0.150

P-value  is greater than the  level of significance

We will accept the null hypothesis

This means that population proportion of women athletes who graduate from the BIG10 is now not more than 73%

Answer:

Approximately 92

Step-by-step explanation:

Using technology, the linear regression model obtained by fitting the data points is:

Y = 0.0914X1 - 0.3741

Where x = test score ; y = average sleep

Slope = 0.0914 ; intercept = - 0.3741

The test score of a student that sleeps 8 hours

y = 8

8 = 0.0914X1 - 0.3741

8 + 0.3741 = 0.0914X1

X = 8.3741 / 0.0914

X = 91.62

I think this is the answer

=(3h+61)

Answer:

sorry but i don't understand the question

Answer:

Is it 1,512?

Step-by-step explanation:

Answer:

I think c

but I am not sure

Answer:

[tex]4x + 5y = 10 - - - (a) \\ - x - 8 = 3y \\ - x - 3y = 8 \\ x + 3y = - 8 - - - (b) \\ 4 \times (b) - (a) : \\ = > 0x + 7y = - 42 \\ y = - 6 \\ x - 21 = - 8 \\ x = 13 \\ { \boxed{x = 13}} \\ { \boxed{y = - 6}}[/tex]

Answer:(10,-6)

Step-by-step explanation:

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Answer:

Scalene triangle (Option C)

Step-by-step explanation:

In a scalene triangle , all its sides have different lengths.

According to the figure given in question , lengths of all sides differ from each other. So , the triangle in the figure is a scalene triangle.

Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that [tex]\mu = 78, \sigma = 6[/tex]

Samples of n:

This means that the standard deviation is:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}[/tex]

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is [tex]s = \frac{6}{\sqrt{n}}[/tex] and the shape is approximately normal.

Answer: 0.15meters

that the answer

[tex]\sqrt{x^{10}} = x^5[/tex]

=====================================================

Explanation:

We simply take half of the exponent 10 to get 5. This applies to square roots only.

So the rule is [tex]\sqrt{a^b} = a^{b/2}[/tex]

A more general rule is

[tex]\sqrt[n]{a^b} = a^{b/n}[/tex]

If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.

Answer:

E

[tex] \sqrt{ {x}^{10} } \\ = \sqrt{ ({x}^{5} ) {}^{2} } \\ = {x}^{5} [/tex]

Answer:

1

Step-by-step explanation:

Answer:

6^-6

Step-by-step explanation:

a^m*a^n = a^m+n

This question is incomplete, the complete question is;

Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.  

Required:

Write down the cost function C, marginal cost function C’, and average cost function

Answer:

- The  the cost function is 500,000 + 1,900,000x - 160,000√x

- the marginal cost function is 1,900,000 - (80000 /√x  )

- The  average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Step-by-step explanation:

Given the data in the question;

cost per spot = $1.9 million

Additional cost =  $500,000

discount = $160,000√x

 Let C(x) represent the cost ;

Cost x television spot = cost per spot × Number pf spots

Cost x television spot = $1.9 million × x

Cost x television spot = $1,900,000x

Now, the television set total cost will be;

C(x) = television cost + additional cost - discount  

C(x) = 500,000 + 1,900,000x - 160,000√x

Therefore, The  the cost function is 500,000 + 1,900,000x - 160,000√x

Marginal Cost Function;

Cost function C(x) = 500,000 + 1,900,000x - 160,000√x

we differentiate with respect to x

C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )

= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )

= 0+ 1,900,000(1) -160,000( 1 / 2√x )

= 1,900,000 - (160,000 / 2√x  )

= 1,900,000 - (80000 /√x  )

Therefore, the marginal cost function is 1,900,000 - (80000 /√x  )

Average cost function;

Average cost function = C(x) / x

we substitute

Average cost function = [500,000 + 1,900,000x - 160,000√x] / x

=  [500,000 / x ] + [1,900,000x / x ]  - [ 160,000√x / x ]

=  [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]

=  1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Answer:

B

Step-by-step explanation:

(base x height)/2 = (2.9 x 8.1)/2 = 11.7 cm^2

Answer:

B

Step-by-step explanation:

Answer:

Following are the responses to the given points:

Step-by-step explanation:

The State function is indeed a characteristic that does not depend upon on path to that specific significance.

In contrast, two route functions are called call path operations.

Throughout this case, only the state system includes them. Lift changes are dependent on a particular difference between two balancing states (pressure, temperature).

Answer:

30 square inches

Step-by-step explanation:

The equation for the area of a trapezoid is: (b1 + b2) x h) / 2

(10 + 5) x 4) /2

15 x 4 = 60

60/2 = 30

30 square inches

Answer:

11 yards is 33 feet

11 yards < 51 feet