Solve the system of equations.
3y + 10x - 54 = 0
5y - 2x - 34 = 0
2 =
y =

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

[tex] A = \frac{1}{2}bh [/tex]   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

[tex] \frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b) [/tex]

We can find the base by solving equation (1) for b:

[tex] b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm [/tex]

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

[tex] 2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm) [/tex]

[tex]\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min[/tex]    

Therefore, the base is decreasing at 2 cm/min.

I hope it helps you!  

Answer:

1.  9+(-8) = 1

2. -5+-4 = -9

Step-by-step explanation:

Answer:

what are linar functions

Step-by-step explanation:

Answer:

D. no solution because the other answers if you plug them in dont work

Answer:

She washed 21 cars

Step-by-step explanation:

Answer:

Jan washed 21 cars

Step-by-step explanation:

120.75 / (Divided) 5.75=21

If you were to times 5.75 by 21 you will get the amount she rasied at the car wash

Answer:

Three. 2x, -3y, and 8.

Step-by-step explanation:

For every constant or variable, there is a term.

In this expression, there are two variables (x and y) and there is a constant (8).

Hence, there are three terms.

Hope this helped!

Answer:

lol

Step-by-step explanation:

what is the question

Answer:

3/10

Step-by-step explanation:

3/5 se puede convertir en 6/10

(3x2)/(5x2).

9/10 - 6/10 = 3/10

le falta 3/10 para llegar a 9/10.

Answer:

[tex]P(F/E) = 0.6[/tex]

Step-by-step explanation:

If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].

Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:

[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]

Here the two events given are [tex]E[/tex] and [tex]F[/tex].

[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]

and [tex]P(E) = 0.5[/tex]

As per the above formula that we have already discussed, the formula can be written as:

[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]

Answer: Point D

Step-by-step explanation: Point D is at 3 and 3/4.

I think the answer is point D

Answer:

(7;1)

Step-by-step explanation:

The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.

However the ordinate of the point B'  will have the opposite sign as ardinate  B. However the module of ordinate B'  is going to be the same as module of orrdinate B.

Answer:

All real numbers

Step-by-step explanation:

36/something1 = 12/something2

36/12=3

to get from something1 to something2 you divide by 3

36/3x=12/x

Cross multiply

36x=12*3x

36x=36x

x=x

Since each side of the equation is equal, the solution is all real numbers

I hope this helps :)

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[tex]2 {x}^{3} + 2 {x}^{2} - 40x = [/tex]

[tex]2x( {x}^{2} + x - 20) = [/tex]

[tex]2x(x - 4)(x + 5)[/tex]

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The correct answer is (( a )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The first option is the correct one.

[tex]2 {x}^{3} + 2 {x}^{2} - 40x[/tex]

[tex]2x( {x}^{2} + x - 20)[/tex]

[tex]2x(x - 4)(x + 5)[/tex]

Answer:  96 workers

Step-by-step explanation:

First you multiply 8 and 6 then by 2.

8 x 6= 48

48 x 2= 96

96 workers to help the business

Answer:

It's a positive slope it's not going down it's going up every time you go up to you go over to making it a positive slope

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

a

The expected value of the sample mean of their weights is same as the population mean, μ = 1515 lbs.

b

The standard deviation of the sampling distribution of the sample mean weight is:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25[/tex]

c.

The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:

[tex]\text{Average Weight}=\frac{2500}{16}=156.25[/tex]

d

Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:

[tex]P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z<0.84)\\\\=1-0.79955\\\\=0.20045\\\\\approx 0.20[/tex]

Answer:

10

Step-by-step explanation:

For an odd number of values, the median is the middle value when you write the values in ascending order.

5, 7, 9, 10, 16, 17, 20

The median is 10.

Answer:

61.2

Step-by-step explanation:

To solve this, we would have to use the arithmetic progression formula

S(n) = a + (n - 1) d, where

S(n) = is the value of the nth term

a = value of the first term

n = the nth term we're interested in

d = difference between successive terms

We're given that the first term, a1 = 1.we also know that the 6th term, a6 = 44

If so, we can use this to get our "d", saying

44 = 1 + (6 - 1) d

where

44 is the value of the 6th term, and n is 6. Also, the first term a = 1. Simplifying further we have

44 = 1 + 5d

5d = 44 - 1

5d = 43

d = 43/5

d = 8.6

This means that the difference between successive term is 8.6, we then use this "d" to find our 8th term

S(n) = 1 + (8 - 1) 8.6

S(n) = 1 + 7 * 8.6

S(n) = 1 + 60.2

S(n) = 61.2

Therefore, the 8th term is 61.2

42 dollars/7 minutes

÷ by 7 on both

6 dollars/1 minute

hope this helped

please make this brainliest

9514 1404 393

Answer:

  $98.11

Step-by-step explanation:

If your calculator doesn't work with mixed numbers, you must first convert 6 5/8% to a decimal fraction.

  6 5/8 = (6·8+5)/8 = 53/8 = 6.625

  6 5/8% = 0.01×6.625 = 0.06625

Then the desired amount is ...

  0.06625 × $1480.90 = $98.109625 ≈ $98.11

6 5/8% of $1,480.90 is $98.11.

Answer:

Determine the area of the archway with a semicircle top arch and two rectangular pillars.

The lower supports are

✔ congruent rectangles

and the area of the two supports is

✔ 24

square meters.

The upper arch can be decomposed as one semicircle with radius

✔ 6

meters minus a semicircle with radius 3 meters.

The area of the archway is (

✔ 13.5

π + 24) square meters.

Step-by-step explanation:

Answer:

what measure one

Step-by-step explanation:

What are u talking bout

There is no picture or anything

Answer:

I wish I could help.

Step-by-step explanation:

There is no picture or a complex explanation.

Answer:

weed ,led ,we, tee , tweedle

Answer: Hmm this question was very hard.

Step-by-step explanation:

Answer:

Sixteen and forty-three hundredths

Step-by-step explanation:

Answer is : A .. Hope it helped