Rearrange the equation so q is the independent variable.

9q-4=3r-6

r = __

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

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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:

gay

Step-by-step explanation:

hha

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:

Null hypothesis:[tex]p\geq 0.25[/tex]  

Alternative hypothesis:[tex]p < 0.25[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:

[tex] z_{crit}= -1.65[/tex]

And the best choice for this case would be:

z < − 1.65

Step-by-step explanation:

Information provided

n=2431 represent the random sample taken

[tex]\hat p=[/tex] estimated proportion of interest

[tex]p_o=0.25[/tex] is the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level

Confidence=95% or 0.95

z would represent the statistic

Hypothesis to test

We want to verify if the true proportion of Americans who reduced meat consumption last year is less than 0.25, then the system of hypothesis are :

Null hypothesis:[tex]p\geq 0.25[/tex]  

Alternative hypothesis:[tex]p < 0.25[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Now we need to find the critical value for the rejection zone of the null hypothesis. Since we have a left tailed test we need to find in the normal standard distirbution a value who accumulate 0.05 of the area in the left tail and we got:

[tex] z_{crit}= -1.65[/tex]

And the best choice for this case would be:

z < − 1.65

Answer:

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

Step-by-step explanation:

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:

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:

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

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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.

Answer:

A

Step-by-step explanation:

Removal of greatest common multiple makes the equation easier to factor it.

The best reason for factoring out the greatest common​ factor is,

⇒ Factor out the greatest common factor first because it makes the trinomial easier to factor if the numerical and variable parts are simpler.

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Given that;

We have to choose the best reason for factoring out the greatest common​ factor, if there is​ one, before attempting to factor a trinomial.

Now, We know that;

When we factor out the greatest common factor first then it makes the trinomial easier to factor if the numerical and variable parts are simpler.

Thus, The best reason for factoring out the greatest common​ factor is,

⇒ Factor out the greatest common factor first because it makes the trinomial easier to factor if the numerical and variable parts are simpler.

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Answer:

5?

Step-by-step explanation:

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

Answer:

a = -99

Step-by-step explanation:

(−−99) is equal to just 99 since a negative and a negative equals a positive.

If -a is equal to 99, a must equal -99.

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

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:

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:

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

1. The volume under the surface [tex]f(x,y)=e^{x+y}[/tex] is given by the double integral,

[tex]\displaystyle\int_0^1\int_0^1e^{x+y}\,\mathrm dx\,\mathrm dy[/tex]

We split up the integration region into a 2x3 grid of rectangles whose upper right corners are determined by the right endpoints of the partition along either axis. That is, we split up the [tex]x[/tex] interval [0, 1] into 2 subintervals,

[0, 1/2], [1/2, 1]

with right endpoints given by the arithmetic sequence,

[tex]r_i=0+\dfrac{i(1-0)}2=\dfrac i2[/tex]

for [tex]i\in\{1,2\}[/tex], and the [tex]y[/tex] interval [0, 1] into 3 subintervals,

[0, 1/3], [1/3, 2/3], [2/3, 1]

with right endpoints

[tex]r_j=0+\dfrac{j(1-0)}3=\dfrac j3[/tex]

for [tex]j\in\{1,2,3\}[/tex].

Then the upper right corners of the 6 rectangles are the points

(1/2, 1/3), (1/2, 2/3), (1/2, 1), (1, 1/3), (1, 2/3), (1, 1)

generated by the sequence [tex](r_i,r_j)[/tex].

The integral is thus approximated by the sum

[tex]\displaystyle\sum_{j=1}^3\sum_{i=1}^2f(r_i,r_j)\dfrac{1-0}m\dfrac{1-0}n=\dfrac16\sum_{j=1}^3\sum_{i=1}^2f(r_i,r_j)=\frac{e^{5/6}+e^{7/6}+e^{4/3}+e^{5/3}}6[/tex]

or approximately 2.4334. (Compare to the actual value of the integral, which is close to 2.952.)

For the midpoint rule estimate, we replace the sampling points [tex](r_i,r_j)[/tex] with [tex](m_i,m_j)[/tex], i.e. the midpoints of each subinterval, so the set of sampling points is

(1/4, 1/6), (3/4, 1/6), (1/4, 1/2), (3/4, 1/2), (1/4, 5/6), (3/4, 5/6)

and the integral is approximately

[tex]\displaystyle\sum_{j=1}^3\sum_{i=1}^2f(m_i,m_j)\dfrac{1-0}m\dfrac{1-0}n=\frac{e^{5/12}+e^{3/4}+e^{11/12}+e^{13/12}+e^{5/4}+e^{19/12}}6[/tex]

or about 2.908.

2. We approach the second integral the same way. Split up the [tex]x[/tex] interval into 8 subintervals with left and right endpoints given respectively by

[tex]\ell_i=-2+\dfrac{(i-1)(2-(-2))}8=\dfrac{i-5}2[/tex]

[tex]r_i=-2+\dfrac{i(2-(-2))}8=\dfrac{i-4}2[/tex]

for [tex]i\in\{1,2,\ldots,8\}[/tex], and the [tex]y[/tex] interval into 2 subintervals with

[tex]\ell_j=0+\dfrac{(j-1)(2-0)}2=j-1[/tex]

[tex]r_j=0+\dfrac{j(2-0)}2=j[/tex]

for [tex]j\in\{1,2\}[/tex].

The upper left corners of the rectangles in this grid are given by the sequence [tex](\ell_i,r_j)[/tex]. So the integral is approximately

[tex]\displaystyle\sum_{j=1}^2\sum_{i=1}^8f(\ell_i,r_j)\frac{2-(-2)}m\frac{2-0}n=51[/tex]

(Compare to the actual value, 32.)

Answer:

On the positive Y-axis

Step-by-step explanation:

Answer:

Positive Y-axis

Step-by-step explanation:

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

Answer:

increasing

Step-by-step explanation:

y = 1/2x +2

This function is increasing because the slope is positive.

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:

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]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:

B

Step-by-step explanation:

36 candy

6 different types

if I pick random I'll get 1 of 6

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

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:

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:

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!