x2+ x -12x-pWhat value should be substituted for p for the expression to reduce to (x + 4) ?

The number of people died from aids in U.S. in 2005 are 2,30,68,96,671

Given, diseases tend to spread according to the exponential growth model.

In the early days of aids, the growth factor (i.e. common ratio; growth multiplier) was around 1.9.

In 1983, about 1700 people in the U.S. died of aids.

we have to find the number of people died from aids in 2005.

Let the exponential function, be

P(x) = AB^x

where, A is the initial population of people died of aids in U.S.

B is the growth factor of aids in U.S.

as, B = 1.9

In 1983, x = 0

P(0) = AB^0

1700 = A

Now, P(x) = 1700(1.9)^x

and the number of years from 1983 to 2005 are, 22 years

The number of people died from aids in 2005 be,

P(22) = 1700(1.9)^22

P(22) = 2,30,68,96,671

So, 2,30,68,96,671 people died from aids in 2005.

Hence, 2,30,68,96,671 people died from aids in 2005.

Learn more about Exponential Functions here https://brainly.com/question/12472697

#SPJ4

Answer:

j = 1

Step-by-step explanation:

-9j - 3 = -2j - 10

-7j = -7

j = 1

Answer:

see explanation

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = a₂ - a₁ = 5 - (- 2) = 5 + 2 = 7 , then

\(a_{n}\) = - 2 + 7(n - 1) = - 2 + 7n - 7 = 7n - 9

Use this formula to find a₁₀

a₁₀ = 7(10) - 9 = 70 - 9 = 61

The specific range depends on the material properties and the energy levels involved.

The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.

Acoustic Mode:

The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.

The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.

The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.

Optic Mode:

The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.

The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.

The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.

It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.

To know more about Frequency related question visit:

https://brainly.com/question/32280350

#SPJ11

Answer:

The measure of each angle of  abc is equal to the corresponding angle of  a'b'c' when coincides with the other three triangles. The measures of the angles of the triangle are preserved as the figure rotates.

Step-by-step explanation:

The coordinate of the point P that lies on the line segment AB will be (6.6, 3.8).

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

AP to PB is in the ratio of 4 to 1. Then the coordinate of the point P is given as,

x = (4 × 8 + 1 × 1) / (4 + 1)

x = (32 + 1) / 5

x = 33 / 5

x = 6.6

y = (4 × 4 + 1 × 3) / (4 + 1)

y = (16 + 3) / 5

y = 19 / 5

y = 3.8

The coordinate of the point P that lies on the line segment AB will be (6.6, 3.8).

More about the section of the line link is given below.

https://brainly.com/question/6582647

#SPJ1

Answer:

4

Step-by-step explanation:

You would complete the square by dividing the b value by 2, and then squaring it. In this case, the b value is -4. You would divide -4 by 2 and get -2. Now, you would square -2, and you would get 4.

Answer:

x = 55

It is vertically opposite to 55

\(x^2+y^2=r^2\hspace{5em}x=r\cos(\theta )\hspace{5em}y=r\sin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ x^2+(y+4)^2=16\implies x^2+\stackrel{binomial~expansion}{y^2+8y+16}=16 \\\\\\ \underset{x^2+y^2}{r^2} + 8(~\underset{8y}{r\sin(\theta )}~)=16-16\implies r^2+8r\sin(\theta)=0 \\\\\\ r^2=-8r\sin(\theta )\implies \cfrac{r^2}{r}=-8\sin(\theta )\implies r=-8\sin(\theta )\)

Answer:

The answer for Length is D

110m

Step-by-step explanation:

P=2L+2W

L=20+W

400=2(20+W)+2W

400=40+2W+2W

C.L.T

400-40=4W

360=4W

divide both sides by 4

4W/4=360/4

W=90m

L=20+W

L=20+90

L=110m

Answer:

Step-by-step explanation:

dy/dt=-72/9=-8ft/s

Answer:

the missing values is 5

I hope it's helps you to

Answer:

+5

Step-by-step explanation:

-5=-10+5

-5=-5

-+-=-

+-+=+

Answer:

B. 7.735 km

Step-by-step explanation:

The height of a mountain is 7735 meters. What is its height in kilometers?

✓ It is: 7735/1000 = 7.735 kilometers

Answer: B

as 1000 metres = 1 km

The most common distance in miles would be = 1,200 miles.

To determine the distance that is most travelled the following is considered;

The total number of road trips = 7

On day 3 the distance travelled = 600 and 1,200 miles

On day 4 the distance travelled = 1,000,1,100 and 1,200 miles

On day 5 the distance travelled = 800 miles.

On day 6 the distance travelled = 1,300 miles

Therefore the most travelled distance = 1,200 miles.

Learn more about distance here:

https://brainly.com/question/26046491

#SPJ1!

Answer:

b

Step-by-step explanation:

i think i might be wrong

(i) Equation for estimated long-term average evapotranspiration is          ET = P - Q. (ii) The calculated ET values can be compared to the global distribution of average oceanic evaporation and continental transpiration shown on the figure.

(i) To compute the estimated long-term average evapotranspiration (ET) for each watershed, we can use the water balance equation. The equation is as follows:

Precipitation (P) = Streamflow (Q) + Evapotranspiration (ET)

Assuming no groundwater inputs or outputs, we can rearrange the equation to solve for ET:

ET = P - Q

By subtracting the average streamflow (Q) from the average precipitation (P) for each watershed, we can obtain the estimated long-term average evapotranspiration (ET) in millimeters per year (mm/yr).

(ii) The calculated ET values can be compared to the global distribution of average oceanic evaporation and continental transpiration shown on the figure. While the figure provides a coarse comparison due to its contour interval of 200 or 400 mm/yr, it can still give an indication of how well the calculated ET values conform to the values shown.

To assess the conformity, we can compare the calculated ET values for each watershed with the values shown on the figure within the same range. If the calculated ET values fall within the contour intervals or are close to the values depicted on the figure, it suggests a reasonable conformity. However, if the calculated ET values significantly deviate from the values shown, it indicates a disparity between the estimated and observed evapotranspiration patterns.

It's important to note that the figure provides a global representation, and the calculated ET values are specific to the four major rivers considered in the table. Therefore, a coarse comparison is expected, and finer-scale analysis may be required to make more accurate assessments of conformity between the calculated ET values and those shown on the figure.

Learn more about average here: brainly.com/question/31087305

#SPJ11

The triangle that is similar to triangle ABC is triangle DEF.

Similar triangles are defined as the triangles that have the same shape, but their sizes may vary.

This means that all equilateral triangles, squares of any side lengths are examples of similar objects.

Therefore, we can say that if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

We want to find the triangle that ois similar to triangle ABC.We see that:

∠A = 37°

∠B = 94°

From the options, we see in the first option that

∠D = 37°

∠E = 94°

Thus, triangle DEF is similar to Triangle ABC.

Read more about similar triangles at: https://brainly.com/question/14285697

#SPJ1

Answer and Step-by-step explanation:

A 25 year old business professional with a graduate degree who is unmarried has a broad number of economic strategies he can employ which includes:

1.He should begin a savings account when he gets his first paycheck.

2.He can as well invest in a 401 k retirement account in order to get matching funds from his employer.

3. He can as well invest in high risk stocks that pay a grant dividend reason been that he is single and can afford to take the risk.

Nevertheless He wil probably want to invest in buying a new or used vehicle to provide transportation for himself.

Above all, he must make provides a structured and coherent approach which will help him to easily identify, assess and manage the risk .

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

V=1.7 hours H=2 hours

Step-by-step explanation:

The width of the rectangle is 9 meter.

Now, According to the question:

The perimeter of a rectangle is defined as the sum of all the sides of a rectangle. For any polygon, the perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the width of the rectangle plus twice the length of the rectangle and it is denoted by the alphabet “p”.

Now, Solving the problem:

Perimeter of rectangle is 50 meter sq.

Length of the rectangle(L) is 16 meter.

We have to find the width (W) of the rectangle.

We know that,

Perimeter of rectangle is = 2 (L + W)

50 = 2(16 + W)

50 = 32 + 2W

2W = 50 - 32

2W = 18

W = 18/2

W = 9

Hence, The width of the rectangle is 9 meter.

Learn more about Perimeter of rectangle at:

https://brainly.com/question/22109593

#SPJ4

Answer:

4

Step-by-step explanation:

six times four equals twenty four

Answer:

A

Step-by-step explanation:

26÷6=4

The rectangular prism having a length of 1 feet, width of 2 feet and that

is 1 feet deep, gives the area Mila stained as 8 square feet.

The given dimensions of the rectangular prism bin are;

Length of the bin = 2 foot

Width of the bin = 1 feet

Depth of the bin = 2 feet

Required:

The surface area of the rectangular prism bin.

Solution:

The surface area, S. A., of the rectangular prism bin is given as follows;

S. A. = Length × Width + Depth × Width + Length × Depth

Which gives;

S. A. = 2 × 1 + 2 × 1 + 2 × 2 = 8

Learn more about surface area of a rectangular prism here:

https://brainly.com/question/987829

Rewrite the equation in slope-intercept form

5x -2y = 28

Subtract 5x from both sides

-2y = -5x + 28

Divide both sides by -2

Y = 5/2x -14

The y intercept is -14

Answer:

Solution given:

5x-2y=28

5x-28=2y

y=5/2x-14

comparing above equation with y=MX+c

where

c=y intercept=-14

-14 is a required answer.

Answer:

\(m=1\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-9, 3)

Point (-5, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

The correct answer is B) Her sample is 38, 68, 35, 02, 22. This is because the scientist is selecting a random sample of 5 forest sites from a population of 45 without replacement. She is using consecutive pairs of digits from the table of random digits to select her sample.

Starting at the beginning of the line of random digits, the first pair is 38, which corresponds to forest site 38. The second pair is 68, which corresponds to forest site 68. The third pair is 35, which corresponds to forest site 35. The fourth pair is 02, which corresponds to forest site 02. And the fifth pair is 22, which corresponds to forest site 22.
Now, let's select a random sample of 5 forest sites without replacement:
1) 38
2) 35
3) 02
4) 22
5) 24
Thus, the correct answer is not listed in the given options. However, based on the consecutive pairs of digits and following the process mentioned, the sample should be 38, 35, 02, 22, and 24.

To learn more about Consecutive- brainly.com/question/13070546

#SPJ11

Answer:

6x+6 or 4x+10

Step-by-step explanation:

hope u like it

Answer:

a) 196cm^2

b) 225cm^2

c) 180 cm^2

Step-by-step explanation:

a) The figure is a square, so you can use the formula: a = l^2, or area equals length of one side squared.

a = (14cm)^2

a = 196cm^2

b) a = (15cm)^2

   a = 225cm^2

c) This one is a parallelogram, so it's trickier. However, we can imagine the figure as a rectangle by taking the small triangle that sticks out on the right and putting it into the gap in the left. Now, we can solve this using the formula for a rectangle: a = l x w.

a = l x w

a = 18cm x 10 cm = 180 cm^2

:)

Answer: 3.33

Step-by-step explanation:

Multiplication and division should be solved left to right.

\(37/100*9\\\\Divide(100)\\\\0.37*9\\\\Multiply(9)\\\\3.33\)

Hope it helps <3

Answer:

=37/100×9=.

=divide 37 by 100

=0.37 ×9

=3.33