A : The distance around a closed figure B: The space within a closed figure C : Measure using the distance formula D : measure in units squared

Answer:

1)

40x + 70y ≤ 280 (red on the graph)

100x + 120y ≤ 1200 (blue on the graph)

2) see attachment

3) x=5, y=1

40*5 + 70*1 ≤ 280. 270 ≤280

x=3, y=2

40*3 + 70*2≤280, 260 ≤ 280

Answer:

Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".

Step-by-step explanation:

To find the r (rate) of each series, we can divide one term by the term before:

Series A: 4 / 10 = 2/5

Series B: (3/5) / (1/5) = 3

So the series A has an r value between 0 and 1, so we can find the sum of the series.

The sum is given by the formula:

Sum = a1 / (1 - r)

Where a1 is the first term. So we have that:

Sum = 10 / (1 - (2/5))

Sum = 10 / (3/5)

Sum = 10 * (5/3) = 50/3

Answer:

Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".

Answer:

you cant answer it you have no choice to pick cuz you didnt put dem

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

40 feet

Step-by-step explanation:

Since x=4

3x-4=3(4)-4=12-4=8 feet

x^2-1=4^2-1=16-1=15 feet

2x^2-15=2(4)^2-15=2(16)-15=32-15=17 feet

Perimeter=8+15+17=40 feet

Answer: 2b = 3g

Step-by-step explanation:

This is quite basic to solve, below is a Step by step explanation:

from the given question we have that;

       i.e  b = 1500 gallons per minute

          g = 1000 gallons per minute.

Our questions tells us to write the equation which  relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

ANS:

Since flow from blue  hydrant b = 1500 gallons per minute, we have that

b = 3 * 500

b = 3 * 1000/2 g

b = 3/2 g

equation  gives 2b = 2g

cheers i hope this helped !!

Answer:

c and d

Step-by-step explanation:

Answer:

x=22

Step-by-step explanation:

set all of your values equal to 360 (bc thats the value of the degrees in a circle) and then solve for x!

75 + 92 + ( x+57 ) + ( x+92) = 360

( x+57 ) + ( x+92 ) = 201

2 x = 44

x = 22

Answer:

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If |Z| > 2, the measure X is significent.

In this question:

[tex]|X - \mu = 1.74|, \sigma = 0.69[/tex]

So

[tex]Z = \frac{1.74}{0.69} = 2.52[/tex]

Since [tex]|Z| = 2.52 > 2[/tex], the difference is significant.

Answer:

-3

Step-by-step explanation:

Because it is multiplied by x

Answer:

C. -3

Step-by-step explanation:

The equation of the line is in point slope form.

y=mx+b

where m is the slope and b is the y-intercept.

The number that is multiplied by x is the slope. The number that is added or subtracted from x is the y-intercept.

We have the equation:

y=-3x+6

-3 is being multiplied by x (-3*x=-3x). 6 is being added on to -3x.

Therefore, the slope is -3 and the y-intercept is 6.

Since -3 is the slope, C is the correct answers.

Answer:

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

Step-by-step explanation:

Step(i):-

Given students created 19 clay objects, 12 of which were vases

probability of successes

                            [tex]p = \frac{x}{n} = \frac{12}{19} = 0.6315[/tex]

q  = 1 - p = 1 - 0.6315 = 0.3685

Step(ii):-

Given  n = 16

Let 'X' be the random variable in binomial distribution

[tex]P(X = r) = n _{C_{r} } p^{r} q^{n-r}[/tex]

The probability that exactly 11 of the chosen clay objects are vases

[tex]P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}[/tex]

we will use formula

[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]

[tex]n_{C_{r} } =n_{C_{n-r} }[/tex]

[tex]16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368[/tex]

[tex]P(X = 11) = 4368 (0.006369)(0.005921)[/tex]

P(X = 11 ) = 0.16472

Conclusion:-

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

Answer:

A. is the correct answer

Step-by-step explanation:

the answer is 27

Answer:

A. 25

Step-by-step explanation:

f(x)= 8x - 7

f(4)= 8*4 - 7= 25

f(4)= 25

Answer:

−x+y=8

there you go!

Hope it helps!

Answer:

156

Step-by-step explanation:

1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)

2) Plug in 15 for n

180(15-2)

3) Solve

180(15-2)

180(13)

2340

4) There are 15 angles in a 15-gon

5) Divide sum of interior angles by number of interior angles

2340/15 = 156

6) So, the answer is 156 degrees

Answer:

Step-by-step explanation:

2(n-2) = n-38

Answer:

previous speed of the aeroplane is 500 km/hr

Step-by-step explanation:

Given: Distance covered by  aeroplane = 1500 km

It covers the same distance in a time which is half an hour less than the previous time if the speed is increased by 100 km/hr

To find: previous speed of the aeroplane

Solution:

Let x denotes the previous speed of the aeroplane.

Time taken by an aeroplane if speed is x km/hr = distance/speed = [tex]\frac{1500}{x}[/tex] hours

If speed is increased by 100 km/hr, new speed = (x + 100) km/hr

Time taken by an aeroplane if speed is (x + 100) km/hr = [tex]\frac{1500}{x+100}[/tex] hours

According to question,

[tex]\frac{1500}{x+100}=\frac{1500}{x}-\frac{1}{2}\\ \frac{1500}{x}-\frac{1500}{x+100}=\frac{1}{2} \\\frac{1}{x}-\frac{1}{x+100}=\frac{1}{3000}\\ \frac{x+100-x}{x(x+100)}=\frac{1}{3000}\\ x^2+100x=300000\\x^2+100x-300000=0\\[/tex]

[tex]x^2+600x-500x-300000=0\\x(x+600)-500(x+600)=0\\(x-500)(x+600)=0\\x=500\,,\,-600[/tex]

As speed can not be negative, [tex]x=-600[/tex] is rejected.

So,

previous speed of the aeroplane is 500 km/hr

Answer:

6 feet

Step-by-step explanation:

The dolphin jumps 3 feet above sea level and it starts from the opposite distance below sea level.

This means that it starts from 3 feet below sea level.

The total distance the dolphin travels from its starting point to the top of the jump is therefore:

3  + 3 = 6 feet

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (a, b) and r = m , thus

(x - a)² + (y - b)² = m² ← in standard form

Expand the factors using FOIL and rearrange

x² - 2ax + a² + y² - 2by + b² = m² ( subtract m² from both sides )

x² + y² - 2ax - 2by + (a² + b² - m² ) = 0 ← in general form → A

Answer:

It's option A for plato

Step-by-step explanation:

A.  x^2 + y^2 − 2ax − 2by + (a^2 + b^2 − m^2) = 0

Answer:

12.496

Step-by-step explanation:

Here, to calculate the sum of the first five terms of the series, we use the formula for the sum of terms in a geometric series.

Mathematically, that would be;

Sn = a(1-r^n)/1-r

where Sn = ?

a = 10

r = 1/5 = 0.2

n = 5

Substituting these values into the equation above, we have;

Sn = 10(1-(0.2)^5)/1-0.2

Sn = 10(0.99968)/0.8

Sn = 12.496

Answer:

reflection y=x

Step-by-step explanation:

The single transformation that maps triangle a onto triangle b is the reflection of y=x.

This is known to be the mix up or the combination of transformations that is said to be seen as one transformation.

Note that in the image attached, when reflection of y axis is said to be cast on the x - axis, one can see that triangle a can be maps onto triangle b and thus:

The single transformation that maps triangle a onto triangle b is the reflection of y=x.

Learn more about reflection from

https://brainly.com/question/1908648

#SPJ9

Answer:

I think that C) and D)

Step-by-step explanation:

I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.

Answer:

add me on snap kingmadness7062

Step-by-step explanation:

Total surface area of all the lakes combined is 24.5×10¹⁰

Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.

Given here; The surface area of the lakes and we are required to find The total surface area of all the lakes.

Thus we have TSA= (2.57 + 6.01+5.80+1.91+8.21)×10¹⁰

                               =24.5 ×10¹⁰

Hence, total surface area of all the lakes combined is 24.5×10¹⁰

Learn more about the Total surface area here:

https://brainly.com/question/15584129

#SPJ2

Answer:

y = x + 15

Step-by-step explanation:

You swim 15 minutes more than a friend.The friend swims x minutes.

The amount of time you swim is 15 more than x.

Your time is y

Therefore y = x + 15 would be the equation.

Answer:

multiply bottom equation by 3

Step-by-step explanation:

That way, the -3y can be -9y and 9y and -9y can cancel.

Answer:

D. Multiply the bottom equation by 3

Step-by-step explanation:

A.

If you multiply the bottom equation by 7, then your equation will be:

7x+9y=8

14x-21y=7

Which will not get rid of y.

B.

If you multiply the top equation by 3, then your equation will be:

21x+27y=24

2x-3y=1

Which will not get rid of y.

C.

If you multiply the top equation by 2, then your equation will be:

14x+18y=16

2x-3y=1

Which will not get rid of y.

D.

If you multiply the bottom equation by 3, then your equation will be:

7x+9y=8

6x-9y=3

Which will get rid of y.

Answer:

Step-by-step explanation:

This is easy, just multiply 3.8 by 7.

3.8 x 7 = 26.6

I'm always happy to help :)

Answer:

= -x^2 +x    

Step-by-step explanation:

(x) = 1 - x^2

g(x) = 1-x,

(f-g)(x) = 1-x^2 - ( 1-x)

Distribute the minus sign

          = 1-x^2 -1 +x

  Combine like terms

          = -x^2 +x    

Answer:

[tex]4x+3[/tex]

Step-by-step explanation:

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

[tex]4x+1 -(-2)[/tex]

[tex]4x+1 +2[/tex]

[tex]4x+3[/tex]

Answer: =4x+3

Step-by-step explanation:

4x+ 2 /2 −(−2)

=4x+1+2

then you Combine the Like Terms:

=4x+1+2

=(4x)+(1+2)

=4x+3

Hope this helps :)

Answer:

See below

Step-by-step explanation:

The first step is to find the length of AB. By the Pythagorean Theorem:

[tex]AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10[/tex]

Now, you can proceed:

[tex]\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}[/tex]

Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

    <ABD = <BDC (alternate angle property)

    <BAC = <ACD (alternate angle property)

Also, diagonals;

      /AC/ = /BD/ (reflexive property)

Then;

      ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

     /AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

    /BC/ ≅ /AD/  (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.