Write this number in
scientific notation.
19,800,000
1.98x10[?] I need help on the last step

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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The reason is that the binomial formula is telling us the probability of a particular number of successes. Let’s take 5 turns at bat for a baseball player who gets hits 20% of the time. We want to find the probability that he will get exactly 2 hits. He could get hits on tries 1 & 2, 1&3, 1&4, 1&5, 2&3, 2&4, 2&5, 3&4, 3&5, 4&5. There’s no difference between getting hits on the 1st & 2nd, and getting hits on the 2nd and 1st. They’re the same thing. A permutation would treat those as different, when in reality the order doesn’t matter.

The reason the Binomial Distribution is able to use a combination as oppose to a permutation is because of the symmetry of these types of problems.

Suppose you have n objects of 2 categories. x of them are in the first category and y in the second. Therefore the number of ways you can arrange these n objects is:

Since this also describes the number of ways you can arrange failures and success in a binomial problem, let’s substitute this in place of the combination:

where x = number of repeats in successes and y = number of repeats in failures

Therefore expressing the Binomial Distribution as a combination simplifies the process slightly. However, it’s important to recognize that the combination used is actually a permutation in disguise; it must be a permutation because order matters in the context of Binomial Distributions. The combination doesn’t directly explain the number of ways to arrange the successes and failures, but can be equated to the permutation that does.

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Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results.The result of the operation is the matrix AB = [9 6; 5 4].

Matrix multiplication is defined as the process of multiplying two matrices together to form a third matrix. The product of two matrices A and B is denoted as AB. To calculate the product, each entry in the resulting matrix is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. In other words, the entry in row i and column j of the product matrix AB is the sum of the products of elements in row i of matrix A and column j of matrix B.In the example given, the product of matrices A and B is AB. The product is calculated by multiplying each row of matrix A by each column of matrix B and summing the results. For example, the first entry in the product matrix, AB, is calculated as (1*2 + 0*3 + 0*4) + (0*2 + 1*3 + 0*4) + (0*2 + 0*3 + 1*4) = 2 + 3 + 4 = 9. The remaining entries are calculated in the same way. The result of the operation is the matrix AB = [9 6; 5 4].

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Answer:

carly used 1 1/4 cups of lemonade

Step-by-step explanation:

I think that is simplified

Total number of rabbits produced in 9 years will be 45.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a rabbit can produce 5 new rabbits per year

Total number of rabbits produced in 9 years will be -

n = 5y = 5 x 9 = 45 new rabbits

Therefore, total number of rabbits produced in 9 years will be 45.

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Answer:

The answer is 4,5.

Step-by-step explanation:

Go over 4 times and go up 5, and there is your answer.

Answer:

1000

Explanation:

The equation would be 5(20+30)*4=_____

First, we add 20 and 30 to get 50, now we multiply 5 by 50 to get 250, then multiply 250 by 4 to get 1000.

Can I also get a Brainliest?

In terms of part A, the solution set is a triangular region with vertices at (0,4), (2,3), and (4,0).

Part B: Yes, the point (2, 3) included in the solution area for the system.  The solution of the inequalities is (4, 0).

Part C. I choose the point (1,3) in the solution set. This implies that Michael can buy 1 cupcake and 3 pieces of fudge with $16 as well as feed at least 4 siblings.

Part A: The inequalities limit Michael's purchase of cupcakes and fudge with $16 to feed at least 4 siblings. The first one, 4x + 2y ≤ 16, restricts the total cost to be $16 or less. To graph y ≤ -2x + 8, draw the line with slope -2 and y-intercept 8, and shade below it. The inequality x + y ≥ 4 means Michael must feed at least 4 siblings. It can be graphed as y ≥ -x + 4, a line with slope -1 and y-intercept 4. To graph the inequality, draw a dashed line with slope -1 and y-intercept 4. Shade the region above the line for y ≥ -x + 4. The solution set is the intersection of the shaded regions. Triangle with vertices (0,4), (2,3), and (4,0).

Part B:

To check if (2,3) is in solution area, we test if it satisfies both inequalities. We substitute x=2, y=3 into 4x + 2y ≤ 16 and get 14. When x=2 and y=3 in x+y≥4, we get 5, which is true. However, (2, 3) is not included in the solution area because it does not satisfy 2x+y≤8.

Part C:

Let select (2,2) in the solution set. Michael can buy 2 cupcakes and 2 pieces of fudge while feeding 4 siblings within his budget. Michael can spend $8 on 2 cupcakes and $4 on 2 fudge pieces to feed his siblings. Michael can buy various combinations of cupcakes and fudge within his budget to feed at least 4 siblings.

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See full question below

Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.

This system of inequalities models the scenario:

4x + 2y ≤ 16

x + y ≥ 4

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)

Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points)

Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)

By applying the congruent triangles concept, it can be concluded ΔGHI is congruent to ΔJKL.

Congruent triangles are two or more triangles that are exactly the same shape and size as one another. So, the triangles will remain exactly the same when rotated, reversed, or even folded.

The properties of congruent triangles:

if ΔABC ≅ ΔEFG then:

AB = EF

BC = FG

∠A = ∠E

∠B = ∠F

Now we look at the attached image:

Because GH ≠ MN, we don't need to check the other properties to conclude that ΔGHI and ΔMNP are not congruent.

Because GH = JK, HI = KL, ∠G = ∠J, and ∠H = ∠K, then we can conclude that ΔGHI ≅ ΔJKL

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Answer:

1. 11 married females because out of the 19 married, only 8 had more than 15 years of service and 19 - 8 = 11.

2. 10 married males because of out the 18 married with more than 15 years of service, 8 were females and 18 - 8 = 10.

3. 9 single females because out of the 17 with more than 15 years of service, 8 were married and 17 - 8 = 9.

4. 8 married females because it literally says, "8 married female with more than 15 years of service".

gotta go hope this helps sry

The volume of the cube shown can be found to be 132. 65 inch ³ .

To ascertain the volume of a cube , knowledge of one edge's length is mandatory . This side would correspond to all other sides; therefore , multiplying it by three inversely gauges its complete space as a cubic structure.

The formula for the volume of a cube is:

= Side x Side x Side

The side is 5. 1 inch so the volume is:

= 5. 1 x 5 .1  x 5. 1

= 132. 65 inch ³

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The surface area of Neelah's package is 214 square inches.

What is surface area, and how is it calculated?

The surface area is the measure of the total area that the surface of an object occupies. It is calculated by adding up the areas of each face or surface of the object.

Calculation of the surface area:

To find the surface area of Neelah's package, we first need to determine the dimensions of the package. We are given that the volume of the package is 748 cubic inches and that the equation 4 x 11 x h = 748 can be used to find the height of the package.

Solving for h, we have:

4 x 11 x h = 748

44h = 748

h = 17

Therefore, the dimensions of the package are 4 inches by 11 inches by 17 inches.

To find the surface area of the package, we need to add up the area of each face of the package. The package has six faces, so we calculate the area of each face as follows:

Front and back faces: 4 inches x 17 inches = 68 square inches each

Top and bottom faces: 11 inches x 17 inches = 187 square inches each

Left and right faces: 4 inches x 11 inches = 44 square inches each

Therefore, the total surface area of the package is:

2(68) + 2(187) + 2(44) = 136 + 374 + 88 = 598 square inches

However, this calculation includes the interior of the package, and we are only interested in the external surface area. The top and bottom faces are not part of the external surface area, so we need to subtract them from the total:

598 - 2(187) = 224 square inches

Therefore, the surface area of Neelah's package is 214 square inches.

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The function rule in slope intercept form of a function f(x) is   y= -\(\frac{x}{2}\) +1

finding the slope of the line using two point of the graph

let

P1(2,0) and P2(0,1)        

slope=m                                                          

m=\(\frac{y_{2} - y_{1} }{x_{2} -x_{1} }\)

m=\(\frac{1-0}{0-2}\)

m= - \(\frac{1}{2}\)

now we know the slope , it is possible use the slope-point equation to find the function

\(y_{2}\) -  \(y_{1}\) =m(\(x_{2}\) - \(x_{1}\)) with p1

y - 0 = - \(\frac{1}{2}\)(x-2)

y =  - \(\frac{1}{2}\)(x-2)

y = -\(\frac{x}{2}\) +1

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Answer:

solution given:

height [h]=7ft

side 1=7ft

side2=8ft

it is trapezium

so

area of trapezium=\( \frac{1}{2} 7(7 + 8)\)

=52.5ft²

Mrs. Lovewell needs your help trying to determine where to get the best value for candy to buy to pass out to trick or treaters for Halloween. M & M are her favorite so she looked for all value packs containing M&Ms and other types of candy. Belower are the prices she found for each company:

Amazon: 23.98 for 365 pieces of candy

Walmart: 9.94 for 55 pieces of candy

Target: 15.99 for 150 pieces of candy

Sams: 16.42 for 115 pieces of candy

Dollar general: 10.00 form 100

In order to prove to me what is the best you need to:

Find the Constant of Proportionality for each and show the math for how you found it

Turn each constant of proportionality into an equation

Create a table for each one showing how much 50, 100, 150, 200, and 250 pieces of candy would cost from each store.

This means you will need 5 total tables

Create a graph plotting the numbers for the table

You will plot all 5 stores on the same graph

Make each line a different color to better be able to differentiate

Present a claim for which store would be best, and use your C.O.P as evidence to support.

Answer:

the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.

Step-by-step explanation:

Let the original price of each costume be $x. The sale price of each costume will be $(x-3.50). Ms. Monroe ordered 24 costumes, so the cost of 24 costumes at the sale price will be:

24 × (x-3.50) = $24x - $84

Ms. Monroe paid $516 in all, so we can write:

24x - 84 = 516

Adding 84 to both sides, we get:

24x = 600

Dividing both sides by 24, we get:

x = 25

Therefore, the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.

Answer: so Ms.Monroe got $84 off her entire purchase

Step-by-step explanation: I hope it helps

Answer: 33

Step-by-step explanation: Let x equal the shorter piece.

x + (x + 18) = 84

2x + 18 = 84

2x = 66

x = 33

Answer:

1/6

the most likely answer

Step-by-step explanation:

if its solve then we can do it like above

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

In mathematics, a percentage is any value that can be written as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." However, it is commonly indicated by the "%" mark. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.

Here,

This is a radioactive decay / half-life problem.

Initial amount of C 14 = 100% Present Amount = 57%

k = .0001  (that value should be negative)

Nt = No * e^ (k*t)

You need to solve that equation for "time" (equation attached)

time = natural log (Ending amount / Starting Amount) / k

time = natural log (57% / 100%) / -.0001

time = ln (.57) / -.0001

time = -.56211891815 / -.0001

time = 5,621.2 years    (age of the bird skeleton)

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

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The complete question is "A geologist in South America discovers a

bird skeleton that contains 57% of its

original amount of C-14.

N = Noekt

No = inital amount of C-14 (at time

t = 0)

N = amount of C-14 at time t

k = 0.0001

t = time, in years

Find the age of the bird skeleton to the nearest year"

The value of the rational expression when x is equal to 4 is 2. The correct answer is option C: 2.

To find the value of the rational expression (x - 12)/(x - 8) when x is equal to 4, we substitute x = 4 into the expression:

[(4) - 12]/[(4) - 8]

Simplifying the numerator and denominator:

(4 - 12)/(-4)

Further simplifying the numerator:

(-8)/(-4)

Now, we can divide -8 by -4:

(-8)/(-4) = 2

So, when x is equal to 4, the value of the rational expression is 2.

Therefore, C is the right response.

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Answer:

Function

Step-by-step explanation:

Two different X's could equal the same Y value so this is a function. Remember if there's multiple of the same input (x) equalling different outputs (y) then it is not a function. If there's multiple inputs (x) equalling the same output (y) it's just coincidence and works.

Answer:

The answer would be 23/6

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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Answer:

just sayin x=4

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Notice since you want to find a number, and the 95% of that number is 57:

\((0.95) x = 57\)

Solving for X

\(x=\frac{57}{0.95} =60\)

Answer:

Answer: 60

Step-by-step explanation:

STEP 1 57 = 95% × Y

STEP 2 57 = 95/100 × Y

STEP 3 Y = 57 × 100/95

STEP 4 Y = 57 × 100 ÷ 95

STEP 5 Y = 60

You can easily calculate 57 is 95 percent of what number by using any regular calculator, simply enter 57 × 100 ÷ 95 and you will get your answer which is 60

hope this helps