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Jet001 [13]
3 years ago
15

Solve for c. –4c − 9 = –3c c =

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>

<em>Hope </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

You might be interested in
...can someone help me?
vladimir2022 [97]

Answer:

Step-by-step explanation:

The arc length is very different from the arc measure, so make sure you know the difference. Arc length is measures in feet or inches or meters or cm, etc., while arc measure is measured in degrees, like angles. The formula we need for arc length includes the circumference of a circle formula, since the arc is part of the circumference. The formula includes the angle that cuts off that arc:

AL=\frac{\theta}{360}*2\pi  r  where theta is the central angle that cuts off the arc we are finding the length of.  That angle is 100 degrees; the radius if 12. Filling in the formula with those values and using 3.14 for pi:

AL=\frac{100}{360}*2(3.14)(12)  Simplifying a bit gives us:

AL=\frac{100(2)(3.14)(12)}{360}

Multiplying straight across the top and then dividing by 360 gives you a length of 20.93 inches.  The first choice.

3 0
3 years ago
A researcher took a random sample of 100 students from a large university. She computed a 95% confidence interval to estimate th
katen-ka-za [31]

Answer:

Part (A): The correct option is true.

Part (B): The null and alternative hypothesis should be:

H_o: \mu =0 ; H_a:\mu \neq0

Step-by-step explanation:

Consider the provided information.

Part (A)

A random sample of 100 students from a large university.

Increasing the sample size decreases the confidence intervals, as it increases the standard error.

If the researcher increase the sample size to 150 which is greater than 100 that will decrease the confidence intervals or the researcher could produce a narrower confidence interval.

Hence, the correct option is true.

Part (B)

The researcher wants to identify that whether there is any significant difference between the measurement of the blood pressure.

Therefore, the null and alternative hypothesis should be:

H_o: \mu =0 ; H_a:\mu \neq0

7 0
3 years ago
pls solve quickly!: It took a boat 2 hours to reach town A going upstream. The way back was 1h20 min. What is the speed of the b
goldenfox [79]

Answer:

15 mph

Step-by-step explanation:

Given: Boat took 2 hours to reach Town A going upstream.

           Speed of stream= 3 mph

           Time taken to reach back home= 1 hours 20 minutes

Lets assume distance covered one side be "d" and speed of boat in still water be "s".

∴ Speed of boat in upstream= (s-3) \ mph

   Speed of boat in downstream= (s+3)\ mph

Also converting into fraction of time taken to reach back home.

Remember; 1 hour= 60 minutes

∴ Time taken to reach back home= 60+20= 80\ minutes

Converting time given into fraction= \frac{80\ minutes}{60\ minutes} = \frac{4}{3} \ hours

hence, Time taken to reach back home is \frac{4}{3} \ hours

Now forming equation of boat travelling upstream and downstream, considering distance remain constant.

We know, Distance= speed \times  time

⇒ (s-3)\times 2= (s+3)\times \frac{4}{3}

Using distributive property of multiplication

⇒2s-6= \frac{4}{3}s +4

subtracting both side by \frac{4}{3} s

⇒2s-\frac{4}{3} s-6= 4

Adding both side by 6

⇒ 2s-\frac{4}{3} s= 10

taking LCD as 3

⇒ \frac{2}{3} s= 10

Multiplying both side by \frac{3}{2}

⇒s= \frac{3}{2} \times 10

∴s= 15 mph

Hence, 15 mph is the speed of the boat in still water.

8 0
3 years ago
PROMPT:
pentagon [3]
For this answer let's pick the Fish Pond.

QUESTION: <span>What do you know? 
We know that the total area of the rectangular patio is 24 square feet. The rectangular fish pond that we want to build should have the length that is twice the width. We also need a 1-foot border around the pond.

The total area of the patio is represented by </span>2 x^{2} +6x+4 where x is the width of the fish pond.

QUESTION: What do you want to find out? 
We can answer this question by examining what we have been given (we have answered this in the previous question). Since we only have one variable in the equation and this is the width of the fish pond, then this is the only thing that we need to find out. The length will just follow after the width is solved. (Basically, we are concerned with the dimensions of our project.)

QUESTION: What kind of answer do you expect? 
Since we are only expecting to solve for the dimensions, then we should expect two numbers which would represent the width and the length. Through the polynomial, we can get the width of our project, then the length would just be twice our answer for the width.

1. To set our polynomial equation equal to the total area of our patio, we just write the equation on the left side and the total area of the patio on the right. We recall the equation that we gave in the first question above as well as the patio's area.

2x^{2} +6x+4=24

2. For this item, we just simply negate the constant term on the right side by subtracting the same number to both sides. Since our constant term is 24, we subtract 24 from the polynomial as well as the term on the right side.

2x^{2} +6x+4-24=24-24
2x^{2} +6x-20=0

3. In this item we are only tasked to find the GCF of the trinomial and factor it out of the left side of the equation. The GCF just means the common number or variable in all terms. Upon examining, we can see that the only common factor of the terms is 2 (since all terms are divisible by 2), thus this will be the GCF and we will factor this one out.

2(x^{2} +3x-10)=0

4. To factor the polynomial completely, we just figure out the possible factors of the quadratic equation. You can do this by trying out all factors of -10 that will have a sum of 3 (since -10 is the constant and 3 is the coefficient of x). Upon examining you should end up with:

2(x+5)(x-2)=0 (Notice that 5 and -2 are factors of -10 and their sum is 3).

5. The rule stated on this item just means that we can equate each individual factor to zero (except for the constant term) to find out the possible values of x. That means that we can solve for x by using the equations x+5=0 and x-2=0.

x+5=0
x=-5

x-2=0
x=2

6. For this item, we just do simple substitutions to the equation 2x^{2} +6x-20=0 to verify whether the values we got in question 5 is really a solution to the equation. The values of x that we got are -5 and 2 so we substitute these one at a time.

2(-5)^{2} +6(-5)-20=0
50-30-20=0
0=0

2(2)^{2} +6(2)-20=0
8+12-20=0
0=0

Both values of x make the left side equal to zero therefore both are solutions to the equation.

7. We can tell the dimensions of the project by looking at the values that we got for x, since we assumed x to be the width of our project. The fact that we got two values for x won't be a problem since one of these values is negative. There is no negative measurement/width so we can just ignore this negative value (-5). Thus, the width for our project would be 2 and the length would be twice this value which is 4.

Width = 2 feet
Length = 4 feet

8. For this item, we just illustrate the dimensions of our project and add a 1-foot border (as we are told initially). You can see this illustration in the picture I attached below. 

Since we have an extra 1 foot in every side, that means we need to add 2 feet to both the width and the length. Therefore, our width now is 4 while our length is 6.

Multiplying these numbers to verify the area, we get 24 square feet which is exactly the area of the patio.

6 0
3 years ago
Read 2 more answers
Just need the answer:) will give 5 star review:))
Sergeeva-Olga [200]

Answer:

n=5

Step-by-step explanation: happy to hlp

5 0
2 years ago
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