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Answer:

One hundred million, two hundred, 4 thousand one, hundred eighty

The word form of 100204180 is One hundred million, two hundred, 4 thousand one, hundred eighty.

Given,

100204180 .

Now,

To write the numerical from in the word form,

100204180 = One hundred million, two hundred, 4 thousand one, hundred eighty.

Thus the number is of the range of hundred million.

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7

The digit in ten thousandths place is 7 as it is the fourth digit to the right of decimal point.

Answer:

8

Step-by-step explanation:

9= one hundred thousands

8= ten thousands

3= one thousands

4= one hundreds

7= tens

1= ones

Answer:

Step-by-step explanation:

Total energy of the sandwich = 628kcal

Mass of fat contained = 36grams

Convert gram to kcal

1gram = 9kcal

36 grams = x

x = 36×9

x = 324kcal

Hence the fat contains 324kcal

%fat contained = fat(in kcal)/total calorie × 100%

%fat contained = 324/628 × 100%

%fat contained = 1/2 × 100%

%fat contained = 50%

Hence approximately 50% of the total energy is contributed by fat.

Answer:

[tex]\frac{66}{30} and \frac{55}{30}[/tex]

Step-by-step explanation:

Firstly, let's get the fractions out of mixed form.

2 1/5 = 11/5

(To do this, multiply 2 times 5 and add to the 1.)

1 5/6 = 11/6

(To do this, multiply 1 times 6 and add to the 5.)

Next, let's get the common denominator. When making a common denominator, keep in mind you must multiply/divide both the numerator and denominator.

[tex]\frac{11}{5} * \frac{6}{6} = \frac{66}{30}[/tex]

and

[tex]\frac{11}{6} * \frac{5}{5} = \frac{55}{30}[/tex]

Answer: I got this answer wrong but I go two right look at the step by step explanation

Hopefully that helped a little

Step-by-step explanation:

The expression (x + 5) is a factor of given function f(x) So the remainder of the function will be zero.

Remainder theorem:

The given function,

[tex]f(x) = x^3+3x^2-25x-75[/tex]

Equate (x + 5) is equal to 0.

x + 5 = 0

x = -5

Substitute x = -5 in given equation.

[tex]f(x) = x^3+3x^2-25x-75\\\\f(-5) = -5^3+3(-5)^2-25(-5)-75\\\\f(-5) = 0[/tex]

Since f(-5) = 0. thus, (x + 5) is a factor of given function f(x).

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Answer:

600 ×1200=720,000

720,000×12=8,640,000

8,640,000×1%=8,640,000÷100%=86,400

86,400 per year

Answer:

The answer is the picture

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. 40

B. 28

C. 44

D. 25

Answer:

How to Easily Calculate the Serving Size in Recipes

Weigh the Food. Before you can accurately divide your recipe into servings, you need to know how much it weighs in total. ...

Divide the Recipe into Servings. ...

Calculate Calories. ...

Save the Information.

Step-by-step explanation:

Answer:

115, 65

Step-by-step explanation:

Let x be an angle measurement

x-50 is the supplement

They add to 180

x + x-50 = 180

2x-50 = 180

Add 50 to each side

2x-50 + 50 =180+50

2x = 230

Divide by 2

2x/2 =230/2

x = 115

The measure are 115 and 115-50=65

Answer:

Choice D. [tex]y = 0.75\, x + 5[/tex].

Step-by-step explanation:

The general equation for the slope-intercept form of a line in a cartesian plane is [tex]y = m\, x + b[/tex], where:

Start by finding the value of [tex]m[/tex]. The slope of a line is equal to its rise-over-run. For the two points in this question:

Calculate the slope of this line:

[tex]\displaystyle m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-12}{-16} = 0.75[/tex].

The equation of the line becomes:

[tex]y = \underbrace{0.75}_{m}\, x + b[/tex].

Substitute the coordinates of either of the two points to find [tex]b[/tex]. For example, for the first point [tex](12, -4)[/tex], substitute in the following:

The equation becomes:

[tex]-4 = 0.75 \times (-12) + b[/tex].

Solve for the value of [tex]b[/tex]:

[tex]b = 5[/tex].

Hence, the slope-intercept form of this line shall be:

[tex]y = 0.75\, x + 5[/tex].

Answer:

x = 3

Step-by-step explanation:

7 + 1 + 3x = 4x + 5

Subtract 5 from both sides and 3x from both sides.

8 + 3x = 4x + 5

3 = x

Answer:

0.982

Step-by-step explanation:

Given that:

Mean (μ) = 2325

Standard deviation (σ) = 270

From the central limit theorem ; the Distribution of 50 sample means will be normally distributed

Finding the mean to be at least $2245 per month;

x = 2245

Using the Z score relation :

Zscore = (x - μ) / (σ/√n)

Zscore = (2245 - 2325) / (270/√50)

Zscore = - 80 / 38.183766

ZSCORE = - 2.0951312

= - 2.1

P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).

Answer:

f(-3)= 18

Step-by-step explanation:

step 1: sub -3 in the equation f(x).

f(x)= -2x+12

f(-3)= -2×-3+12

step2: simplify to solve for f(-3).

=6+12

=18

Answer:

r(q(2)) = 11

Step-by-step explanation:

given r(x) = x^2 + 2, and q(x) = -2x + 1.

Here is the equation to the composite function:

r(q(x)) = (-2x+1)^2 + 2 = 4x^2-4x+3 .

Then just substitute the input and solve:

r(q(2)) = 4(2)^2- 4(2) + 3 = 16 - 8 + 3 = 16 - 5 = 11

______________________________

Or if you don't like this, first find the answer to q(2) = -2(2) + 1 = -3

Then substitute this value into the second equation r(x).

r(x) → r(-3) = (-3)^2 + 2 = 9 + 2 = 11

Answer:

addition sentence is 6+6+6+6=24

multiplication sentence is 6×4=24

Step-by-step explanation:

hope this helps

Answer:

A

Step-by-step explanation:

Answer:

1. alterative exterior angles.

Step-by-step explanation:

I don't know what the rest of the other options are. So I can't answer the rest.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

If M is the midpoint of AB, then AM = MB

Also AM+MB = AB

MB+MB = AB

2MB = AB

2MB = 6

MB = 6/2

MB = 3 cm

Also

If M is the midpoint of CD, then CN = DN and CN+DN = CD

CN+CN= CD

2CN = CD

2CN = 6

CN = 6/2

CN = 3 cm

Note that MN = MB + BC + CN

Substitute the given data

MN = 3cm + 6cm+3cm

MN = 12cm

Therefore the distance between M and N is 12cm

The distance between of the AM = BM = AB/2  is 3 cm, NC = ND = DC is 3 cm, MN = MB + DC + NC, and MN is 6.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points A, B, C, and D are plotted on a line, consecutively. AB = BC = DC = 6 cm. Find the distance between M and N, which are the midpoints of segments AB and DC, respectively.

Then we know

[tex]\rm AM = MB \\\\NC = ND[/tex]

Then we have

[tex]\begin{aligned} \rm AM + MB &= \rm AB\\\\ \rm AM+AM &=6 \\\\ \rm AM &= 3 \end{aligned}[/tex]

Similarly, we have

[tex]\begin{aligned} \rm NC + ND &= \rm DC\\\\ \rm NC+NC &=6 \\\\ \rm NC &= 3 \end{aligned}[/tex]

NC = ND = 3 cm

AM = MB = 3 cm

1. AM = BM = AB/2 = 3 cm.

2. NC = ND = DC = 3 cm.

3. MN = MB + DC + NC.

4. MN = MB + DC + NC = 3 + 6 + 3 = 12 cm.

More about the coordinate geometry link is given below.

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Answer:

[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]

Step-by-step explanation:

Given that:

[tex]\int \int _R 4xye^{x^2 \ y} \ dA, R = [0,1]\times [0,7][/tex]

The rectangle R = [0,1] × [0,7]

R = { (x,y): x ∈ [0,1] and y ∈ [0,7] }

R = { (x,y): 0 ≤ x ≤ 1 and 0 ≤ x ≤ 7 }

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0}\int^{1}_{0} 4xye^{x^2 \ y} \ dx dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{yx^2} \dfrac{4}{2y} \end {bmatrix}^1 _ 0 \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \begin {bmatrix} ye^{y1^2} \dfrac{4}{2y} - ye^{y0^2} \dfrac{4}{2y} \end {bmatrix}\ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \int^{7}_{0} \dfrac{4}{2}(e^y -1) \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = \dfrac{4}{2}[e^y -1]^7_0 \ dy[/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-(e^0 -0)][/tex]

[tex]\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 [(e^7 -7)-1][/tex]

[tex]\mathbf{\int \int _R \ 4xy e^{x^2 \ y} \ dA = 2 (e^7 -8)}[/tex]

Answer:

rwqrqwrq

Step-by-step explanation:

Answer:

2 hours 50 minutes

Step-by-step explanation:

subtract 3:48 from 6:38

and you get 2 hours 50 minutes.

Answer:

Oh boy this is a lot of work

Step-by-step explanation:

So 1st thing 1st, order the numbers from least to greatest. Then, find the median (which is the middle number). After that find the 1st Quartile and 2nd Quarile (you have to find the middle of the first half and the middle of the second half if it is two numbers, add them up and divide it by 2). Also, find the greatest and the least numbers. Then make the box and whisker plot. Since i can't make the full plot in brainly i will give you the steps to make it.

Hope this helped.

Answer:

Kindly check explanation

Step-by-step explanation:

A deck of card:

Number of hearts = 13

Diamond = 13

Spade = 13

Club = 13

Each of heart, club diamond and spade has is numbered from (2,3,4,5,6,7,8,9,10,Ace, queen, Jack, king)

Hence, a club, diamond, spade and heart has one of each of the above numbers.

a. List the sample points in the event a jack is selected.

Jack : ( heart, club, diamond, spade)

B.) club is selected :

Cub : (Ace, 2, 3,4,5,6,7,8,9,10,king,queen,jack)

C)

Jack : ( heart, club, diamond, spade)

Queen : (heart, club, diamond, spade)

King : (heart, club, diamond, spade)

D) probability = required outcome / Total possible outcomes

P(jack selected) = 4 /52 = 1/13

P(club selected). = 13/52 = 1/4

P(face card selected) = 12 / 52 = 3/13

Using proportions, it is found that the expression that can be used to find the number of inches in 6 feet is given by:

6 feet = 6 x 12 inches = 72 inches.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the rule of three is given as follows:

1 foot - 12 inches.

6 feet - x inches.

Applying cross multiplication:

6 feet = 6 x 12 inches = 72 inches.

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Answer:

a)Express the death per capita as a decimal rounded to 6 decimal places

0.000875 death per capita

b) Express the death per capita in Scientific notation

8.75 × 10^-4 death per capita

c) 279883 deaths

Step-by-step explanation:

a) Express the death per capita as a decimal rounded to 6 decimal places

The formula for Death Per capita is given as

Number of deaths/ Total population

Measurement : 7172 homicide deaths

Total population : 8.2 millon= 8,200,000

Death per capita = 7172/8200000

Death per capita = 0.00087463414 death per capita.

Approximately to 6 decimal places

= 0.000875 death per capita.

b) Express the death per capita in Scientific notation

The death per capita = 0.000875

In Scientific notation = 8.75 × 10^-4 death per capita

c) The United States has a population of about 320 million. If our homicide deaths were proportional to that of Honduras, how many deaths would we expect in the United States due to homicides? Round to the nearest person.

Measurement : 7172 homicide deaths

Total population : 8.2 millon= 8,200,000

The United States has a population of about 320 million

Death per capita in Honduras : Death per capita in United States

7172/8200000 : x/320,000,000

7172/8,200,000 = x/320,000,000

Cross Multiply

7172 × 320,000,000 = 8,200,000 × x

x = 7172 × 320,000,000/8,200,000

x = 279882.926829 deaths

Approximately to the nearest person = 279883 deaths