One of the goats on Diane's farm is sick and has a high fever. Over the course of 4 hours, its

temperature changes by-2.8°F. Diane wants to know the average change in the goat's

temperature per hour.

• Write an expression for the average change in the goat's temperature each hour.

- 2.8

4

»(f o g)(x)

»f(g(x))

»f(x - 1)

»x - 1 + 1

»x✅

Answer:

fg(x) = x

Given items:

solve for fg(x):

→  f g(x)

→  f(x - 1)

→  (x - 1) + 1

→  x

note: go form right to left in such function problems.

Answer:

  x -5y = -20

Step-by-step explanation:

One way to write the equation for a line through two points is to use the slope formula. The slope is the same everywhere on a line, so the slope between the given points is the same as the slope between one of them and the general (x, y) point.

  m = (y2 -y1)/(x2 -x1)

  m = (5 -3)/(5 -(-5)) = (y -3)/(x -(-5))

  2/10 = (y -3)/(x +5)

  x +5 = 5(y -3) . . . . . . . multiply by 5(x+5)

  x -5y = -20 . . . . . . rearranged to standard form

Answer:

Part A: 4 4/5 = 24/5

24/5 / 2/5 = 24/5 * 5/2 = 12 pieces

Part B:

Quotient means the number obtained by dividing one number by another. In this case, it is 4 4/5 and 2/5. If the quotient is a whole number, then the number that is divided by another number is divisible by the other number

Answer:

20/27

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 60 and 81 is 3

Divide both the numerator and denominator by the GCD

60 ÷ 3

----------

81 ÷ 3

Reduced fraction:

20/27

Therefore, 60/81 simplified to lowest terms is 20/27.

hope that helps.

Answer:

The simplified fraction form is [tex]\frac{20}{27}[/tex].

Step-by-step explanation:

[tex]\frac{60}{81} = \frac{20}{27}[/tex]

Answer:

150

Step-by-step explanation:

Answers:

24 quarters

22 nickels

==========================================================

Work Shown:

q = number of quarters

n = number of nickels

q+n = 46 coins total which solves to n = 46-q

25q = value of all the quarters in cents

5n = value of all the nickels in cents

25q+5n = value (cents) of all the coins of both types

25q+5n = 710 cents total = $7.10

-------------

Apply substitution.

25q+5n = 710

25q+5(46-q) = 710

25q+230-5q = 710

20q+230 = 710

20q = 710-230

20q = 480

q = 480/20

q = 24

They have 24 quarters

This yields 25*q = 25*24 = 600 cents = $6.00 so far.

Use that value of q to find n

n = 46-q

n = 46-24

n = 22

They also have 22 nickels.

They have an additional 5n = 5*22 = 110 cents = $1.10

In total, they have 6.00+1.10 = 7.10 dollars which confirms we have the correct coin counts. Also, q+n = 24+22 = 46.

Answer:

1-1=2

4÷2=2

2÷2=1

69+69=138

100+100=200

7-4=3

Answer:

See below.

Step-by-step explanation:

The closest numbers I could find were 26+26, and 24+28.

-hope it helps

Answer:

25 and 27

Step-by-step explanation:

given two number are X+2,X+4

X+2+X+4=52

2x+6=52

2X=52-6

X=46/2

X=23

X+2=23+2=25

X+4=23+4=27

hope this will help you

Answer should be:

y = -3x - 3

Answer:

The equation is y = - 3x - 3

Step-by-step explanation:

Step 1:

Equations always start with y = (unless you are in grade 11) in which case you start with f(x) =

Step 2:

Use rise over run to find the slope (since its based on graph, if not there is a formula to find it when given coordinate points only)

So to use rise over run, you count how many squares upwards starting from a point that aligns in the graph (in this case the bolded dots)

So you start at (-2, 3) and count how many squares up or down to the next bolded dot (if its up its positive, if you have to go down then its negative).

Then once youve reached the same y-value as the the other dot, count how many squares to the right.

So in this case, you have to go down 6 times and right 2 times.

So as a fraction its -6/2 but that can be simplified to just -3

So thats the slope: -3

Step 3

then you need to find the y-intercept (where the line touches the y-axis)

Its easy: you can visually see that the line crosses at -3.

and the format for the equation is y = mx + b

m = slope

b= y-intercept

SO: y= -3x - 3

Brainliest?

Answer:

36

Step-by-step explanation:

Do the brackets first:

(7+9)=16

(4×5)=20

Now we add our 2 brackets to get our final answer

16+20=36

OOOF! I would send a screenshot to my teacher if that happened. Online math sometimes does that. On maths watch I answered correctly but it doesn't accept the answer. Its so annoying

Answer:

[tex]\cot(\theta)[/tex]

Step-by-step explanation:

Trig identities:

[tex]\csc(\theta)=\dfrac{1}{\sin(\theta)}[/tex]

[tex]sin^2(\theta)+cos^2(\theta)=1[/tex]

[tex]\cos(2\theta)=cos^2(\theta)-sin^2(\theta)[/tex]

[tex]\implies \cos(2\theta)=2cos^2(\theta)-1[/tex]

[tex]\implies2cos^2(\theta)= \cos(2\theta)+1[/tex]

[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]

Therefore,

[tex]\dfrac{\cos(2\theta)+\sin(\theta) \times \csc(\theta)}{\sin(2\theta)}[/tex]

[tex]=\dfrac{\cos(2\theta)+\dfrac{\sin(\theta)}{\sin(\theta)}}{\sin(2\theta)}[/tex]

[tex]=\dfrac{\cos(2\theta)+1}{\sin(2\theta)}[/tex]

[tex]=\dfrac{2cos^2(\theta)}{\sin(2\theta)}[/tex]

[tex]=\dfrac{2cos^2(\theta)}{2\sin(\theta)\cos(\theta)}[/tex]

[tex]=\dfrac{cos(\theta)}{\sin(\theta)}[/tex]

[tex]=\cot(\theta)[/tex]

Answer:

x=45

y=6

Step-by-step explanation

Answer:

72%

Step-by-step explanation:

18/25 x 4= 72/100

=72%

Answer:

72%

Step-by-step explanation:

To convert fractions into percentages we could change to decimal and then multiply by 100 but it would be easier to just make the fraction's denominator to 100 by finding an equivalent fraction:

18/25 = 18×4/25×4

72/100

So 72% of students have a pet

Answer:

3

Step-by-step explanation:

N*(2/3)=4

N=4*(3/2)=6

1/2 of N is 3

If the 2/3rd fraction of N is 4, then 1/2 fraction of N is 3.

Fractions are representations of equal parts of a whole number.

It is written as a/b, read as "a by b", and represents 'a' equal parts of 'b' equal parts.

'a' is called the numerator, and 'b' is called the denominator.

In the question, we are asked if 2/3 N is 4, then what is 1/2 of N.

We can represent the first fractional expression as:

2/3 of N = 4.

Now, we will solve the above expression by replacing of with multiplication.

2/3 * N = 4,

or, 2N/3 = 4.

Now, we will cross-multiply to get:

N = (4*3)/2 = 6.

Now, we are asked to find 1/2 of N.

We simply multiply (1/2) to the value of N:

(1/2)*N = (1/2)*6 = 3.

Thus, if the 2/3rd fraction of N is 4, then 1/2 fraction of N is 3.

Learn more about fractions at

https://brainly.com/question/1622425

#SPJ2

4:7

Step-by-step explanation:

The ratio of the number of corn tortillas to flour tortillas is 3:4. So this means there are at least 3 corn tortillas and 4 flour tortillas.

We need to add 3 and 4 to see the simplified total of tortillas. 3+4=7.

There is a total of 7 tortillas regardless of their type.

Now we just need to compare this with the number they already gave us for flour tortillas, which is 4.

4:7 or 4 flour:7 in total

The ratio of flour tortillas to total tortillas is 4:7.

Answer:

1

Step-by-step explanation:

1 that is to the power of 0 is 1

The amount of the money that goes into savings is $18.75.

The term savings refers to a portion of your income that you set aside for a particular purpose which is safe keeping for the future.

We are told in the question that 10% of the income goes into savings. If the income is $187.45, then the savings is;

Savings = 10/100 * $187.45 = $18.75

Learn more about savings: https://brainly.com/question/13758840

Answer:

Hema - 9 stickers Rekha - 21 stickers

Step-by-step explanation:

Total Number of stickers given - 30

Ratio of stickers divided between Hema and Rekha - 3:7

Let the number of stickers Hema have be 3x

Let the nunber of stickers Rekha have be 7x

According to question,

3x+7x=30

10x=30

x=30/10

x=3

Therefore,

Number of stickers Hema got = 3x

= 3*3

= 9

Number of stickers Rekha got = 7x

= 7*3

= 21

Hence,

Hema will get 9 stickers

Rekha will get 21 stickers

Answer:

[tex]45*(9x^2+4)[/tex]

Step-by-step explanation:

STEP

1

:

Equation at the end of step

1

:

((5x2•(34))+(5•(33)))+(5•32)

STEP

2

:

Equation at the end of step 2

((5x2•(34))+(5•(33)))+(5•32)

STEP

3

:

Equation at the end of step

3

:

((5x2 • (34)) + (5 • 33)) + (5•32)

STEP

4

:

Equation at the end of step 4

((5x2 • (34)) + (5•33)) + (5•32)

STEP

5

:

Equation at the end of step

5

:

((5x2 • 34) + (5•33)) + (5•32)

STEP

6

:

Equation at the end of step 6

((5•34x2) + (5•33)) + (5•32)

STEP

7

:

STEP

8

:

Pulling out like terms

8.1 Pull out like factors :

405x2 + 180 = 45 • (9x2 + 4)

Polynomial Roots Calculator :

8.2 Find roots (zeroes) of : F(x) = 9x2 + 4

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 9 and the Trailing Constant is 4.

The factor(s) are:

of the Leading Coefficient : 1,3 ,9

of the Trailing Constant : 1 ,2 ,4

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 13.00

-1 3 -0.33 5.00

-1 9 -0.11 4.11

-2 1 -2.00 40.00

-2 3 -0.67 8.00

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Final result :

45 • (9x2 + 4)

Step-by-step explanation:

Corresponding angles and sides are listed in the same position when 2 triangles are either given congruent or asked to be proven congruent.

For example triangle ABC and triangle XYZ

Corresponding sides are AB and XY, BC and YZ, AC and XZ

corresponding angles are angle A and angle X and so on....

Answer:

Jouc ÷4 i for number 69263

hope it helps

Answer:

It 2/4

Step-by-step explanation:

t 2/4 because on the graph the lines is on 2/4

Using a proportional relationship, it is found that the area is of 637 square inches when the radius is of 7 inches.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem, the surface area of a balloon varies directly as the square of mits radius, hence:

[tex]S = kr^2[/tex]

The area is 325 in² when the radius is 5 in, hence we use it to find r.

[tex]S = kr^2[/tex]

[tex]325 = 25k[/tex]

[tex]k = 13[/tex]

Hence:

[tex]S = 13r^2[/tex]

When the radius is of r = 7 in, the area in square inches is given by:

[tex]S = 13r^2 = 13 \times 49 = 637[/tex]

More can be learned about proportional relationships at https://brainly.com/question/10424180

Answer:

this is what I am thinking

sorry if it is wrong

Step-by-step explanation:

The coordinates of Point P are (0,2.5)

The coordinates of Point T are  (1.5,1.5)

Answer:

-19 + 5x

Step-by-step explanation:

-0.20(95 -30x) - x = (-0.20*95) + [ (-0.20)*(-30x)] - x

                              = - 19 + 6x - x

                              = -19 + 5x

hope you will like it

Answer:

17 ounce cereal

Step-by-step explanation:

It is only a 53. cent difference so the better option would be the 17 ounce bag