Without graphing, determine the number of solutions of the system. State whether the system is consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent.

Answer:

increasing

Step-by-step explanation:

y = 1/2x +2

This function is increasing because the slope is positive.

Answer:

y= 4x +16

Step-by-step explanation:

slope-intercept form:

y=mx+c, where m is the gradient and c is the y-intercept

Given that the slope is 4, m=4.

y= 4x+c

To find the value of c, substitute a coordinate.

When x= -5, y= -4,

-4= 4(-5) +c

-4= -20 +c

c= 20 -4

c=16

Thus, the equation of the line is y= 4x+16.

Answer: The initial volume is 593.76mL

Step-by-step explanation:

As you do not say anithing about the pressure, i guess that the pressure remains constant.

If the gas is an ideal gas, we have:

P*V = n*R*T

where P is pressure, n is number of moles and R is a constant.

Now, initially we have:

P*Vi = n*R*315°C

finally we have:

P*825mL = n*R*452°C

Now we can take the quiotient of those two equations and get:

(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)

Now we have:

Vi/852mL = 315/452

Vi =  (315/452)*852mL = 593.76mL

So when we expand the gas at constant pressure, we increase the temperature.  

Answer:

691 mL

Step-by-step explanation:

Answer:

[tex]4 \sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{80}[/tex]

80 can be written as a product of 16 and 5.

[tex]\sqrt{16 \times 5}[/tex]

Distribute the square root to both terms.

[tex]\sqrt{16} \times \sqrt{5}[/tex]

16 is a perfect square 4×4.

[tex]4 \times \sqrt{5}[/tex]

Answer:

4 * sqrt(5)

Step-by-step explanation:

sqrt(80)

sqrt(16*5)

We know that sqrt (ab) = sqrt(a) sqrt(b)

sqrt(16) sqrt(5)

4 * sqrt(5)

Answer:

He will have $39,750 at the end of five years.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex]

In this question:

[tex]P = 30000, I = 0.065, t = 5[/tex]

Interest earned:

[tex]E = P*I*t = 30000*0.065*5 = 9750[/tex]

Total amount:

[tex]T = E + P = 9750 + 30000 = 39750[/tex]

He will have $39,750 at the end of five years.

Answer:

The builder will use 5.28 acres of land for baseball fields.

Step-by-step explanation:

This question can be solved using a rule of three.

The property has 16.1 acres of land. This is 100% = 1. 33% will be used for baseball fields. How much is 0.33?

16.1 - 1

x - 0.33

[tex]x = 16*0.33 = 5.28[/tex]

The builder will use 5.28 acres of land for baseball fields.

The value of Mike's car at the start of 2017 is £4116.

Percentage is a ratio in the form of fraction of 100.

Percentage is defined by the "%" symbol.

At the start of the year 2014, Mike's car was worth £12000.

The value of the car decreased by 30% every year.

So, The value of the car at the start of 2015 = £12000×[tex](1-\frac{30}{100})[/tex]

                                                                         = £ 12000×[tex]\frac{7}{10}[/tex]

                                                                         = £ 8400

Again, The value of the car at the start of 2016 = £8400×[tex](1-\frac{30}{100})[/tex]

                                                                              = £8400×[tex]\frac{7}{10}[/tex]

                                                                              = £5880

∴ The value of the car at the start of 2017 = £5880×[tex](1-\frac{30}{100})[/tex]

                                                                     = £5880×[tex]\frac{7}{10}[/tex]

                                                                     = £4116

Learn more about percentage here :

https://brainly.com/question/843074

#SPJ2

Answer:

radius r = 7.5 km

diameter d = 15 km

circumference C = 47.1238898 km

area A = 176.714587 km2

Step-by-step explanation:

math

Answer:

[tex]x=\frac{7}{2} =3.5\\\\y=2[/tex]

Step-by-step explanation:

The addition method (elimination method) allows us to combine two equations in such a way that the resulting equation has only one variable. Then we can use simple algebraic methods to solve that variable

Let:

[tex]4x-6y=2\hspace{10}(1)\\\\and\\\\2x-y=5\hspace{15}(2)[/tex]

Let's multiply (2) by -2:

[tex]-2*(2):\\\\2x(-2)-y(-2)=5(-2)\\\\-4x+2y=-10\hspace{12}(-2*(2))[/tex]

Now, add (1) and (-2*(2)):

[tex](1)+(-2*(2)):\\\\4x+(-4x)-6y+(2y)=2+(-10)\\\\-4y=-8[/tex]

Hence, solving for y:

[tex]y=\frac{-8}{-4} =2[/tex]

Replacing y into (2):

[tex]2x-(2)=5[/tex]

Solving for x:

[tex]2x=5+2\\\\2x=7\\\\x=\frac{7}{2} =3.5[/tex]

Therefore:

[tex]x=\frac{7}{2} =3.5\\\\y=2[/tex]

Answer:

gay

Step-by-step explanation:

hha

Answer:

Probably different. The average customer will want to buy toys to play with, to have fun with, unlike a collecters motif which is to display their items.

Answer:

it is so simple lol

Step-by-step explanation:

just know that that angle is 90 degrees which means that you should do 90-41

Answer:

49

Step-by-step explanation:

90*-41*=49

Answer:

3

Step-by-step explanation:

because is a hcsbjmcscin C d

Answer:

the right answer is x = 3 and x= -1/2

Step-by-step explanation:

I took the test.

Answer:

P(X = 4) = 0.1876

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question:

[tex]n = 15, p = 0.2[/tex]

We want P(X = 4). So

[tex]P(X = 4) = C_{15,4}.(0.2)^{4}.(0.8)^{11} = 0.1876[/tex]

Answer:

69.08

Step-by-step explanation:

π×d

3.14×22=69.08

Answer:

Any percentage cam be written as a part of 100

0.05% = 0.05/100 = 0.0005

I hope this helps you

Answer: .0005

Step-by-step explanation:

Move 2 spaces to the left

Answer:

25:64

Step-by-step explanation:

surface : 4×pi×R^2

R1 = 5x

R2 =8x

4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64

Answer:

[tex]y=2x^2+8x+8[/tex]

Step-by-step explanation:

Notice that we are looking for a quadratic function that has only one real solution for y=0, that is a unique point that touches the x-axis

We need therefore to look at the discriminant associated with all 4 equations constructed by equaling y to zero. We then try to find one that gives discriminant zero , corresponding to a unique real solution to the equation.

a) [tex]9x^2+6x+4=0[/tex]  has discriminant: [tex]6^2-4(9)(4)=-108[/tex]

b) [tex]6x^2-12x-6=0[/tex] has discriminant: [tex](-12)^2-4(6)(-6)=288[/tex]

c) [tex]3x^2+7x+5=0[/tex] has discriminant: [tex](7)^2-4(3)(5)=-11[/tex]

d) [tex]2x^2+8x+8=0[/tex] has discriminant: [tex](8)^2-4(2)(8)=0[/tex]

Therefore, the last function is the one that can have such graph

Answer:

d

Step-by-step explanation:

The question is not complete. The complete question is;

Triangle RST is drawn inside rectangle RSNM. Point T is halfway between points M and N on the rectangle. The length of side RS is 9 in. and the length of side RM is 8 in.

1) What is the area of triangle RST?

2)What is the ratio of area of  triangle RST to area of triangle RMT?

3) What is the area of rectangle RSMN to area of triangle TSN?

Diagram is attached.

Answer:

1) 36 sq.in

2) 2:1

3) 4:1

Step-by-step explanation:

1) Area of triangle is; ½ × base × height.

For triangle RST, base = 9 in and height = 8 in

Thus, area of triangle RST = ½ × 9 × 8

= 36 sq.in

2)Area of triangle RMT = ½ × 8 × 9/2

= 18 sq.in

Ratio of area of RST to area of RMT = 36/18 = 2:1

3)Area of triangle TSN = ½ × 8 × 9/2 = 18 sq.in

Area of Rectangle RSNM = Length x width = 9 × 8 = 72 sq.in

Ratio of Area of Rectangle RSNM to Area of triangle TSN  = 72/18 = 4:1

Answer: False.

Step-by-step explanation:

False. Negative numbers have imaginary roots, represented by [tex]i[/tex].

For instance, the square root of negative 36 would be 6i.

Answer:

B

Step-by-step explanation:

36 candy

6 different types

if I pick random I'll get 1 of 6

.................................

Answer:

a) A sample size of at least 251 students is needed.

b) A sample of at least 97 students is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

(a) you are unwilling to predict the proportion value at your school

We need a sample size of at least n.

n is found when M = 0.08.

We wont predict a proportion value for the school, so we use [tex]\pi = 0.5[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96\sqrt{0.5*0.5}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5*0.5}}{0.08}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.5*0.5}}{0.08})^{2}[/tex]

[tex]n = 150.1[/tex]

Rounding up

A sample size of at least 251 is needed.

(b) you use the results from the surveyed school as a guideline.

Now we have that [tex]\pi = 0.2[/tex]

So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.08}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.2*0.8}}{0.08})^{2}[/tex]

[tex]n = 96.04[/tex]

Rounding up

A sample of at least 97 students is needed.

Answer:

x=9

Step-by-step explanation:

first you would distribute the -4 and the -12

-24x-12=-12x-120

Then you would add 120 to both sides

-24x+108=-12x

Then add 24x to both sides

108=12x

Then divide both sides by 12

x=9

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

[tex] - 4(6x + 3) = - 12(x + 10) \\ - 24x - 12 = - 12x - 120 \\ - 24x + 12x = 12 - 120 \\ - 12x = - 108 \\ \frac{ - 12x}{ - 12} = \frac{ - 108}{ - 12} \\ x = 9[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

Answer:

I think they're both trick questions because there are no like terms

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

A word has n letters.

There are m repeating letters, each of them repeating [tex]r_{0}, r_{1}, ..., r_{m}[/tex] times

So the number of distincts ways the letters can be permutated is:

[tex]N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}[/tex]

In this question:

Extent has 6 letters.

E and r repeat 2 times. So

[tex]N = \frac{6!}{2!*2!} = 180[/tex]

So the answer is 180.

Answer:

5?

Step-by-step explanation:

I think you would count the middle point. But i don't completely know...

Answer:

11

Step-by-step explanation:

Looking at Fibonacci numbers ;

We have:

Than X1 =1 ; X2 = 1; X3 = 2

Xn+1 = Xn + Xn-1

X3 = X2 + X1 = 1+1 =2; X4 = X3 + X2 = 2 +1 = 3; X5= X4+X3 = 3+2 = 5; X6 = X5 + X4 = 5 + 3 = 8; X7 = X6 +X5 = 8 +5 = 13; X8 = X7 + X6 = 13 + 8 = 21; X9 = X8 + X7 = 21+ 13 = 34 ; X10 = X9 + X8 = 34 +21 = 55 ; X11 = X10 + X9 = 55 +34 = 89

We see that ; X11 gives 89 so the value of n = 11

Celcius to fahrenheit conversion is just using this formula

(x°C × 9/5) + 32 = y°F

where x is the degrees in celcius and y is the degrees in fahrenheit.

Le'ts plug in 63 into the equation

63 x 9/5=113.4+32=145.4 degrees fahrenheit.

Answer:

1/4

Step-by-step explanation:

To find the slope given two points

m = (y2-y1) / (x2-x1)

   = (4-3)/(5-1)

   = 1/4

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{3 - 4}{1 - 5} \\ \frac{ - 1}{ - 4} \\ = \frac{1}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!