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andrezito [222]
3 years ago
9

Make six prime number using the digits 1,2,3,4,5,6,7,8,9 once each

Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0

Answer:

2357

Step-by-step explanation:

they can go in 1 and themselves

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Tell whether the angles are complementary, supplementary, or neither
Vadim26 [7]

Answer:

neither

Step-by-step explanation:

43 + 57 = 100

Complementary angles: sum of measures = 90 deg

Supplementary angles: sum of measures = 180 deg

This question: sum of measures = 100 deg

Answer: neither

7 0
3 years ago
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Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1>3 SUVs per month, where t is time in mon
uysha [10]

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

S'(t)=-24^{1/3} SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given S'(t)=-24^{1/3} ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from S'(t)=-24^{1/3}

\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\

On Integrating both sides

S(t)=-18t^{4/3}+c ~...~...~(2)

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

\thereforefrom eq (2)

S(t)=-18t^{4/3}+1200 ~...~...~(3)

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) 300=-18t^{4/3}+1200

t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030

Hence the company will continue 18.8020 months.

Learn more about integration here-

brainly.com/question/18125359

#SPJ10

8 0
2 years ago
Simplify. <br>(-6u? - 9u-4)-(-5u²+2u+3)+(2u? + 6u+4)​
zheka24 [161]

Answer:

Simplified: -4u? + 5u^2 - 5u - 3

Step-by-step explanation:

8 0
3 years ago
What is the equation of the circle with center (2, –5) that passes through the point (–2, 10)?
Travka [436]
The standard equation of a circle is

(x-h)^2 + (y-k)^2 = r^2

where the center is at point (h,k)

From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be

r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241

Thus, the equation of the circle is

(x-2)^{2} + (y+5)^{2} =241
4 0
3 years ago
∠1 ​ and ∠2 are supplementary.
Rasek [7]
By definition, supplementary angles are those whose sum is 180°

Therefore, ∠2 = 180 - ∠1
2x + 4 = 180 - 124
2x = 52
x = 26°
8 0
3 years ago
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