How fast is the number of HIV infections, H, increasing by between t = 5 and t = 10? Calculate the average rate of change between t = 5 and t = 10 to answer this question.

Answer:

24x+72

Step-by-step explanation:

Answer:

Anwer is 426.4.

Step-by-step explanation:

HOPE ITS HELP YOU.

Answer:

Step-by-step explanation:

D

Answer:

∠J ≅ ∠V

Step-by-step explanation: I took the same test (:

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Area of rectangular prism: Base x Height.

so 3x1/3x2/5=0.4 0r 2/5

Answer:

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step explanation:

Answer:

.5 of a minute

Step-by-step explanation:

Answer:

  see attached for a graph

Step-by-step explanation:

When g(x) is transformed to

  f(x) = f(x -h) +k

The graph of g(x) is translated h units right and k units up.

__

Here, the function g(x) = x^2 is transformed to ...

  f(x) = g(x -3) +12 = (x -3)^2 +12

Then the graph of f(x) is the graph of g(x)=x^2 translated 3 units right and 12 units up.

Answer: -4 and 2

Step-by-step explanation:

negative 4 and positive 2 is the answer

Answer: (-4, -2)

Step-by-step explanation: I got an A+ on the test

Answer:

a ≤ 20

Step-by-step explanation:

a = number of lower vases, in $

3a = cost of a flower vases, in $

10 + 3a = = cost of $10 worth of flowers plus a vases

10 + 3a ≤ 70 says that the cost of Christine's flowers and vases purchase

must be less than, or at most equal to $70.

Subtracting  10 rom both sides of the inequalour

gives us an equivalent inequality

3a ≤ 70 - 10 <--->  3a ≤ 60

Multiplying (or dividing) both sides by a positive number

gives us an equivalent inequality, so

a ≤ 60/3  <---> a ≤ 20

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Squaring a number implies increasing it by itself. In case the number being squared is negative, the result will continuously be positive. Increasing a number by 2 implies multiplying it, which is not linked to squaring a number.

To square a number, one must raise it to the power of two, that is different from carrying out its multiplication with itself. One way of squaring a value is shown by taking the number 3 and raising it to the power of 2.

3² = 3 x 3 = 9

By the same way , if we raise -2 to the power of 2, the result will be a positive value of four.

Raising numbers to the power of two is a frequent mathematical procedure use in numerous academic fields such as algebra, geometry, physics, and statistics.

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The number of possible outcomes when you roll the die would be 6

A die is known to have only 6 faces. The 6 faces are numbered from number 1 to number 6

Such that the sample space that we would have would be given as

SS = {1, 2, 3, 4, 5, 6}

Hence the number of outcomes that we would be able to have from one die would be given as 6

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Answer:

b = 59

Step-by-step explanation:

Since table attached in the picture shows the linear relationship,

Equation showing the relationship between the altitude (x) and temperature (y) will be in the form of y = mx + b.

Where m = slope of the line

b = y-intercept of the line

y-intercept of a line means "y-value at x = 0"

For x = 0,

y = m(0) + b

y = b

From the table attached,

at x = 0, y-value = 59°F

Therefore, y-intercept 'b' = 59 will be the answer.

Answer:59

Step-by-step explanation:

Everything she said

Answer:

\(f {}^{ - 1} (x) = 4(x + 3)\)

Step-by-step explanation:

We would like to find the inverse of the following function .

\(\longrightarrow f(x) = \dfrac{1}{4}x +3 \)

Step 1 : Replace \(f(x) \) with \(y \) . We have

\(\longrightarrow y =\dfrac{1}{4}x +3 \)

Step 2 : Interchange x and y :-

\(\longrightarrow x = \dfrac{1}{4}y + 3 \)

Step 3 : Solve for y :-

\(\longrightarrow x - 3 =\dfrac{1}{4}y \)

Multiply both sides by 4,

\(\longrightarrow 4(x-3) = y \)

Step 4 : Replace y with f-¹(x) :-

\(\longrightarrow 4(x -3)=f^{-1}(x) \)

Interchange the sides ,

\(\longrightarrow \underline{\underline{ f^{-1}(x)= 4(x-3)}}{}\)

And we are done !

Answer:

five almost 6 weeks

Step-by-step explanation:

brady is saving up to 245 but he already has 98 which means he needs to save 147 more dollars. Brady is making 25 a week so if you divide 147 by 25 you get 5.88 so in 6 weeks he can have a new skateboard with a couple extra doll hairs.

Answer:

-4 is the correct ans

hope it helps

Step-by-step explanation:

\( \tt{6 = 2 - k}\)

~Swap the sides of the equation

⟶ \( \tt{2 - k = 6}\)

~Transpose 2 to right hand side and change it's sign

⟶ \( \sf{ - k = 6 - 2}\)

~Subtract 2 from 6

⟶ \( \tt{ - k = 4} \)

~Divide both sides of the equation by -1

⟶ \( \tt{ \frac{ - k}{ - 1} = \frac{4}{ - 1}} \)

⟶ \( \tt{k = - 4}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{k = - 4}}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

x(7y)x(7y)

Step-by-step explanation:

The given expression: 7(xy)7(xy)

i.e. a product of 7 and xy.

The operation used here: Multiplication.

Commutative property of multiplication :-

a\times b=b\times aa×b=b×a for any numbers a and b.

Associative property of multiplication :-

a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.

Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]

=(x7)y=(x7)y [Commutative property of multiplication]

=x(7y)=x(7y) [Associative property of multiplication]

Answer:

3 power of 10 makes number 3 equal 3000

Step-by-step explanation:

10*10*10=1000

3*1000=3000

Answer:

3 x 10^3

Step-by-step explanation:

3 x 10^3

3 x 1000

3000

hope this helps, pls mark brainliest :D

Answer:

27.101

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:

Width = 10 inches

Step-by-step explanation:

A cube is a six-sided shape where each side consists of a square. Since the length of a square is the same measure of the width, then the cube will "work the same way", and the length, width, and height of the cube will all be the same length.

Answer:

A

Step-by-step explanation:

Answer:

The margin of error is multiplied by 4.

Step-by-step explanation:

Margin of error is:

\(M = \frac{zs}{\sqrt{n}}\)

In which z is related to the confidence level, s is elated to the standard deviation and n is the sample size.

From this, we have that the standard deviation is inversely proportional to the square root of the sample size.

If you cut the sample size in half:

The margin of error is inversely proportional to the square root of the sample size, so if you cut the sample size by \(\frac{1}{2}\), the margin of error will be multiplied by \(2^2 = 4\)

So

The margin of error is multiplied by 4.

Answer:

Step-by-step explanation:

\(\frac{\sqrt{32} }{\sqrt{16} - \sqrt{2} } = \frac{4\sqrt{2} }{4 - \sqrt{2} } ----------------- (1)\)

It says it can be written in the form of

\(\frac{A\sqrt{B} + C }{D}\)

where A, B, C and D are integers, D is positive and B is not divisible by square of any prime

Rationalize equation 1:

\(\frac{4\sqrt{2} }{4 - \sqrt{2} } X \frac{4 + \sqrt{2} }{4 + \sqrt{2}}\)

in denominator, use (a + b)(a - b) = \(a^{2} - b^{2}\)

After multiplying numerator and denominator you should get

\(\frac{16\sqrt{2} + 8}{14}\)

this is in the form

\(\frac{A\sqrt{B} + C }{D}\)

where A = 16, B = 2, C = 8, and D = 14

hope this helps you ^^