2. The sum of three consecutive odd integers is 105.
What are the three numbers.

Answer:

g(f(4)) = -3

Step-by-step explanation:

f(x)=x-7

g(x) = x

g(f(4))

f(4) = 4-7

f(4) = -3

g(-3) = -3

Answer:

Housing is a categorical variable

Step-by-step explanation:

Housing. i.e where the horses stay. have an effect on the investigative factors ( diet and environment )that the horses will be exposed to

Housing is a categorical variable because it has more than one categories ( stall, small paddock, large paddock , pasture ) attached to it without any form of intrinsic ordering attached to it

Answer:

4.24

Step-by-step explanation:

Answer:

The probability of having two boys = 25%

Step-by-step explanation:

The ordered sample space for two kids is given as S =  {bb, bg, gb, gg},

where bb = two boys, bg = a boy and a girl, gb = a girl and a boy, and gg = two girls, in that particular order.

bb occurs 1/4 times

and 1/4 = 0.25 or 25%

Calculating the probability of having two boys is given as the probability of having a boy multiplied by the probability of having a boy

= 0.5 x 0.5

= 0.25

= 25%

This agrees with the ordered sample space given above.

Answer:5X+2=4X-9\quad :\quad X=-11

Step-by-step explanation:

5X+2=4X-9

5X+2-2=4X-9-2

5X=4X-11

5X-4X=4X-11-4X

X=-11

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: \: X \: = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5 \: X + 2 = 4 \: X - 9}[/tex]

Move 4 X to left hand side and change it's sign

Similarly, move 2 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{5 \: X - 4 \: X = - 9 - 2}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{X = - 9 - 2}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \longrightarrow{ \sf{X = - 11}}[/tex]

Hope I helped!

Best regards! :D

Answer:

This is pretty simple, it tells you that two tickets are worth $18, to figure out how much one would cost you just divide 18/2 and that would equal $9. So Your answer would be Each ticket sold yields $9 of profit.

Here, Let, Number of Ticket = x

Sold profit = y

Then, relation would be: 18/2 = 9

y = 9x

In short, Your Answer would be Option B) "Each ticket sold yields $9 of profit"

Hope this helps!

Answer:

its B: Each ticket sold yields $9 of profit.

Step-by-step explanation:

Answer:

C; 13 and 240

Step-by-step explanation:

Here in this question, we are to give the numerator and the denominator degrees of freedom.

Mathematically;

the numerator degrees of freedom = number of variables - 1 = 14 -1 = 13

The numerator degrees of freedom = number of observations- numerator degrees of freedom - 1

= 255 - 14-1 = 255-15 = 240

The critical value of the fare is options c. 13 and 240.

Since the numerator degrees of freedom should be

= number of variables - 1

= 14 -1

= 13

Now

The numerator degrees of freedom should be

= number of observations- numerator degrees of freedom - 1

= 255 - 14-1

= 255-15

= 240

Therefore, the correct option is c.

learn more about denominator here: https://brainly.com/question/17681702

Answer:

U need to copy and paste more of the question

Step-by-step explanation:

Start copy at the top go all the way to the bottem of the question and paste into brainly.

use ctrl c for copy and crtl v for paste

Answer:

[tex]15[/tex] inches

Step-by-step explanation:

Let the width be x.

Length = [tex]6+x[/tex]

Perimeter = Length + Length + Breadth + Breadth

Perimeter = [tex](6+x)+(6+x)+x+x=48[/tex]

[tex]6+x+6+x+x+x=48[/tex]

[tex]4x+12=48[/tex]

Subtract 12 from both sides:

[tex]4x+12-12=48-12[/tex]

[tex]4x=36[/tex]

Divide both sides by 4:

[tex]\frac{4x}{4}=\frac{36}{4}[/tex]

[tex]x=9[/tex] (Width)

Length = [tex]9+6=15[/tex] inches.

Answer:

l = 15 inches

Step-by-step explanation:

l = w + 6

p = 2l + 2w

substitute l into equation p

48 = 2(w + 6) + 2w

distribute the 2 into the parentheses

48 = 2w + 12 + 2w

combine like terms

48 = 4w + 12

subtract 12 from both sides

36 = 4w

divide by 4

9 = w

plug w into equation l

(9) + 6 = 15

l = 15 inches

Answer:

[tex]\huge\boxed{m = \frac{y-b}{x}}[/tex]

Step-by-step explanation:

In order to solve for [tex]y=mx+b[/tex] and we want to solve for [tex]m[/tex], we want to get m on one side of the equation.

[tex]y = mx+b[/tex]

Let’s subtract b from both sides.

[tex]y - b = mx[/tex]

Now we can divide both sides by x so we have m on one side of the equation.

[tex]\frac{y-b}{x} = m[/tex]

Hope this helped!

Answer:

210

Step-by-step explanation:

We can get 10% of 300 by doing 300 / 10 which is 30. 70 / 10 is 7, so we need 7 lots of 10% to work out 70%. Therefore, 30 * 7 students said that their favourite colour was blue, which is 210.

Answer:

210

Step-by-step explanation:

So 70% OF 300 students said their favorite color was blue

OF means multiply and 70% is equal to .70 so,

.70 x 300 = the number of students that said their favorite color was blue

                =210

So, the number of students that said their favorite color was blue is 210 students. :)

Answer:

17in by 7in

Step-by-step explanation:

17x7=119

17+17+7+7=48

Answer:

No

Step-by-step explanation:

But as we've stated, these prime factorizations are unique, so this can't be right. Therefore 21≠a2 , so a≠√21 , meaning that our earlier assumption of √21 being rational turns out to be wrong, therefore √21 is irrational.

It looks like the system is supposed to be

[tex]\mathbf x'=\begin{bmatrix}0&-1\\2&3\end{bmatrix}\mathbf x+\begin{bmatrix}e^t\\e^{-t}\end{bmatrix}[/tex]

with the initial condition, [tex]\mathbf x(0)=\begin{bmatrix}5&4\end{bmatrix}^\top[/tex].

Compute the eigensystem for the coefficient matrix:

[tex]\begin{vmatrix}-\lambda&-1\\2&3-\lambda\end{vmatrix}=\lambda^2-3\lambda+2=(\lambda-1)(\lambda-2)=0[/tex]

[tex]\lambda_1=1\implies\begin{bmatrix}-1&-1\\2&2\end{vmatrix}\mathbf v_1=\mathbf 0\implies\mathbf v_1=\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

[tex]\lambda=2\implies\begin{bmatrix}-2&-2\\2&1\end{bmatrix}\mathbf v_2=\mathbf 0\implies\mathbf v_2=\begin{bmatrix}1\\-2\end{bmatrix}[/tex]

So we have the characteristic solution,

[tex]\mathbf x_c=C_1e^{\lambda_1t}\mathbf v_1+C_2e^{\lambda_2t}\mathbf v_2[/tex]

[tex]\mathbf x_c=C_1e^t\begin{bmatrix}1\\-1\end{bmatrix}+C_2e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}[/tex]

For the non-homogeneous part, we can guess a particular solution of the form

[tex]\mathbf x_p=te^t\begin{bmatrix}a\\b\end{bmatrix}[/tex]

(We might have started with [tex]e^t[/tex] instead, but that is already accounted for in the first characteristic solution.)

Its derivative is

[tex]{\mathbf x_p}'=e^t\begin{bmatrix}a\\b\end{bmatrix}+te^t\begin{bmatrix}a\\b\end{bmatrix}=e^t\begin{bmatrix}at+a\\bt+b\end{bmatrix}[/tex]

Substitute [tex]\mathbf x_p[/tex] into the system and solve for [tex]a,b[/tex]:

[tex]e^t\begin{bmatrix}at+a\\bt+b\end{bmatrix}=te^t\begin{bmatrix}0&-1\\2&3\end{bmatrix}\begin{bmatrix}a\\b\end{bmatrix}+e^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

[tex]\begin{bmatrix}at+a\\bt+b\end{bmatrix}=\begin{bmatrix}-bt+1\\(2a+3b)t-1\end{bmatrix}[/tex]

[tex]\implies a=1,b=-1[/tex]

and so the particular solution is

[tex]\mathbf x_p=te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

The general solution to the system is then

[tex]\mathbf x=\mathbf x_c+\mathbf x_p[/tex]

[tex]\mathbf x=C_1e^t\begin{bmatrix}1\\-1\end{bmatrix}+C_2e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}+te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

Use the given initial conditions to solve for the remaining coefficients.

[tex]\mathbf x(0)=\begin{bmatrix}5\\4\end{bmatrix}[/tex]

[tex]\implies\begin{bmatrix}5\\4\end{bmatrix}=C_1\begin{bmatrix}1\\-1\end{bmatrix}+C_2\begin{bmatrix}1\\-2\end{bmatrix}[/tex]

[tex]\implies C_1=14,C_2=-9[/tex]

Then the solution to the initial value problem is

[tex]\mathbf x=14e^t\begin{bmatrix}1\\-1\end{bmatrix}-9e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}+te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

[tex]\mathbf x=\begin{bmatrix}14e^t-9e^{2t}+te^t\\-14e^t-18e^{2t}-te^t\end{bmatrix}[/tex]

Answer:

-9/14

Step-by-step explanation:

product of Three-fourths and Negative StartFraction 6 over 7 EndFraction

[tex] = \frac{3}{4} \times \bigg( - \frac{6}{7} \bigg) \\ \\ = \frac{3 \times ( - 6)}{4 \times 7} \\ \\ = - \frac{18}{28} \\ \\ = - \frac{9}{14} \\ [/tex]

Answer:

-9/14 so the answer is B

Step-by-step explanation:

Hope this helps

Answer:

47.33

Step-by-step explanation:

Hey there! I'm happy to help!

We have 8 bags of dog food and each costs $25.19

8(25.19)=201.52

And we have 11 leashes each costing $4.65.

11(4.65)=51.15

We add these totals up.

201.52+51.15=252.67

We subtract this from 300 to see how much is left.

300-252.67=47.33

Rhonda had $47.33 left after her purchases.

Have a wonderful day! :D

Answer:

d

Step-by-step explanation:

Answer:

25 boys

Step-by-step explanation:

girls to boys

7:5

35:x

set up an equation

if

35/7 = 5

then

x/5 = 5

so, multiply both sides by 5 to isolate x.

x = 25

Answer: 32

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

So let's write our data set from least to greatest.

18, 24, 32, 48, 90

So the median is the middle number or 32.

Answer:

The median is 32.

Step-by-step explanation: To find the median:

Step 1: Put all the numbers in order from least to greatest.

Step 2: Cross out the other numbers until you get to the middle.

Step 3: Once you cross out all the numbers evenly, the only number remaining is 32.

Hope this helps!

Answer:

This would be 6 of 1/8 pound of serving

Answer:

6 out of 1/8

Step-by-step explanation:

Answer and Step-by-step explanation:

None of the square roots shown, 75, 12, 18 are rational.

Answer:

square root of 1. the answer is A.

75, 12, 18 square roots are not rational

Answer:

Step-by-step explanation:

(9-6)/2 = 3/2 = 1.5

(-8-3)/2 = -11/2 = -5.5

(1.5, -5,5)

Answer:

Step-by-step explanation:

Total 3-digit numbers 100 to 999

3 digit multiples of 5; 100 to 995

3 digit multiples of 7:

Total multiples of either 5 or 7 :

This number includes multiples of both 5 and 7

We need to exclude half of the multiples of 5*7= 35 as they are counted twice:

Half of this is 26/13 = 13

The difference of 900 and 310 is the answer:

Answer:

The response variable is the episodes of pain reported

Step-by-step explanation:

A response variable, also known as the dependent variable or explanatory variable, is the variable that is not under the direct control of the researcher, but whose value varies with the changing of the independent variable. The response variable is the focus of the experimental question.

In this example, the effect of the drug hydroxyurea is to be tested on sickle-cell patients, hence the drug used is the independent variable, because the experimenter can choose to give the subjects either hydroxyurea or a placebo, hence it is under the direct control of the experimenter. However, the result ( differences in episodes of pain) is a response to the administered drug or placebo.

Answer/Step-by-step explanation:

The ratio of the enlargement to the original = A'E' to AE = A'E':AE = A'E'/AE

AE = 2.5

A'E' = 4

Ratio of the enlargement to the original = 4:2.5 = 1.6:1

To convert to percentage, divide 4 by 2.5 and multiply by 100.

[tex] = \frac{4}{2.5}*100 [/tex]

[tex] = 1.6*100 [/tex]

[tex] = 160 percent [/tex]

Answer:

-7 - 3a = 1 – 4a  

Step one: Add 4a to -3a  

-7 + a = 1  

Step two: Add 7 to 1  

A = 8  

You're done! A=8 for this problem!  

Hopefully this helps! Feel free to mark brainliest!  

Answer:

[tex]a =8[/tex]

Step-by-step explanation:

[tex]-7 - 3a = 1 - 4a[/tex]

add [tex]3a[/tex] to both sides

[tex]-7 - 3a + 3a = 1 -4a + 3a \\-7 = 1 -a[/tex]

add [tex]-1[/tex] to both sides

[tex]-7 - 1 = 1 - a -1\\-8 = -a[/tex]

multiply both sides by [tex]-1[/tex]

[tex]-8 * (-1) = -a * (-1) \\8 = a[/tex]

Answer:

c best shows the best relationship

Answer:

The answer is 57.

Step-by-step explanation:

You have to substitute w = 2 into the expression :

[tex]8 {w}^{2} + 8w + 9[/tex]

[tex]let \: w = 2[/tex]

[tex]8 {(2)}^{2} + 8(2) + 9[/tex]

[tex] = 32 + 16 + 9[/tex]

[tex] = 57[/tex]

Answer:

57

Step-by-step explanation:

[tex]8*2^{2}+8*2+9\\8*4+16+9\\32+16+9\\48+9\\57[/tex]

Answer:

I think it's -18

Step-by-step explanation:

24 divided by 4 is 6. what you do to one has to be done to the other. so -3 times 6 equals -18.

Answer: -18

Step-by-step explanation:

Answer:

B' is at (2.76,-4.9)

Equation of CC' is 11.38x+4.55y= -31.86

or at its slope-intercept form:

y= (-11.38x - 31.86)/4.55

Step-by-step explanation:

Answer:

14.6

Step-by-step explanation:

Answer to this is 14.6.

Answer:

14.6 is the answer

Step-by-step explanation:

8.176/0.56 = 14.6