Express 8.0447 x 10^4 in standard notation

Step-by-step explanation:

To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.

Let's first find the prime factorization of each number:

- 8 = 2 * 2 * 2

- 16 = 2 * 2 * 2 * 2

- 40 = 2 * 2 * 2 * 5

Now, let's identify the common factors by finding the minimum exponent for each prime factor:

- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).

- 5 is not a common factor since it appears only in the prime factorization of 40.

The GCF is obtained by multiplying the common factors with their respective minimum exponents:

GCF = 2^2 = 4

Therefore, the greatest common factor of 8, 16, and 40 is 4.

Answer:

C

Step-by-step explanation:

3 1/2 x 2 = 7

Answer: x - 8

Step-by-step explanation:

Factor it and you'll be fine.

A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

Read more on perimeter of a rectangle here: brainly.com/question/28695033

#SPJ1

The volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis is 51π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curve y = 1 - (x - 5)² in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

V = 2π ∫ [a, b] x * h(x) dx

Where:

- V is the volume of the solid

- π represents the mathematical constant pi

- [a, b] is the interval over which we are integrating

- x is the variable representing the x-axis

- h(x) is the height of the cylindrical shell at a given x-value

In this case, we need to solve for x in terms of y to express the equation in terms of y.

Rearranging the given equation:

x = 5 ± √(1 - y)

Since we are only interested in the region in the first quadrant, we take the positive square root:

x = 5 + √(1 - y)

Now we can rewrite the volume formula with respect to y:

V = 2π ∫ [c, d] x * h(y) dy

Where:

- [c, d] is the interval of y-values that correspond to the region in the first quadrant

To determine the interval [c, d], we set the equation equal to zero and solve for y:

1 - (x - 5)² = 0

Expanding and rearranging the equation:

(x - 5)² = 1

x - 5 = ±√1

x = 5 ± 1

Since we are only interested in the region in the first quadrant, we take the value x = 6:

x = 6

Now we can evaluate the integral to find the volume:

V = 2π ∫ [0, 1] x * h(y) dy

Where h(y) represents the height of the cylindrical shell at a given y-value.

Integrating the expression:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * h(y) dy

To find h(y), we need to determine the distance between the y-axis and the curve at a given y-value. Since the curve is symmetric, h(y) is simply the x-coordinate at that point:

h(y) = 5 + √(1 - y)

Substituting this expression back into the integral:

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

Now, we can evaluate this integral to find the volume

V = 2π ∫ [0, 1] (5 + √(1 - y)) * (5 + √(1 - y)) dy

To simplify the integral, let's expand the expression:

V = 2π ∫ [0, 1] (25 + 10√(1 - y) + 1 - y) dy

V = 2π ∫ [0, 1] (26 + 10√(1 - y) - y) dy

Now, let's integrate term by term:

\(V = 2\pi [26y + 10/3 * (1 - y)^\frac{3}{2} - 1/2 * y^2]\)] evaluated from 0 to 1

V = \(2\pi [(26 + 10/3 * (1 - 1)^\frac{3}{2} - 1/2 * 1^2) - (26 * 0 + 10/3 * (1 - 0)^\frac{3}{2} - 1/2 * 0^2)]\)

V = 2π [(26 + 0 - 1/2) - (0 + 10/3 - 0)]

V = 2π (25.5)

V = 51π cubic units

Learn more on volume of a solid obtained by rotating curve here;

https://brainly.com/question/32301706

#SPJ1

Answer:

chapter 3,9,10 are quite hard for me

Step-by-step explanation:

Answer: 3|x| = 3x when x \(\geq\) 0 and 3|x| = -3x when x < 0

Step-by-step explanation: Absolute value basically refers to the distance of a point from the origin (zero), regardless of the direction. The absolute value of a number is represented by two vertical lines enclosing the number. For example, |6| = 6, or in this case, 3|x| = 3x. Here, the value is replaced by the term "x". "x" is used as a term for an unknown value/variable. so basically, we're solving for x kinda. Multiplying "x" (the unknown variable) by 3 gives us = 3x. We know from the sign \(\geq\) that x can't be below zero, only above or equal to. So, 3lxl = 3x when x is above or equal to the origin (zero). We know from the second problem that x can't be above zero because of the sign <, only below zero. Because we can only go below zero, that positive 3 turns negative. Multiplying x by -3 gives us = -3x. So, 3|x| = -3x when x is blow the origin (zero).

Note: the absolute value of a number is always positive, but in this scenario this rule doesn't apply because "x" is not a number, only a unknown value.

Sorry in advance if my explanation still doesn't make sense. Math isn't my thing really.

Isaiah shοuld charge nο mοre than $17 per sweater tο ensure that he has at least 200 custοmers per day as per then sοlutiοn οf inequality fοrmed.

When we shοut "3, 2, 1, GO!" during a race, we are cοunting. Similarly, a number can alsο be thοught οf as a measurement, such as Jοhn Cena's weight οf 275 lbs. There are alsο fractiοns like 22/7 and decimals like 3.14.

If Isaiah charges x dοllars per sweater, then the number οf custοmers he can expect in a day is given by the expressiοn 268 - 4x.

Tο ensure that Isaiah has at least 200 custοmers per day, we can set up an inequality:

268 - 4x ≥ 200

Sοlving fοr x, we get:

4x ≤ 68

x ≤ 17

Therefοre, Isaiah shοuld charge nο mοre than $17 per sweater tο ensure that he has at least 200 custοmers per day.

To know more about inequality visit:

brainly.com/question/30228778

#SPJ1

The scatter plot shows a [positive linear] association.

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

Read more about scatter plot at

brainly.com/question/16920148

#SPJ1

Answer:

B

Step-by-step explanation:

I don't know how to explain it but

10/2=5 (Driver A)

20/2= 10 (Driver B)

Sorry if it's not right

Answer:  Five thousand thirty-seven and seven hundredths three thousandths

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

for such more question on placement

https://brainly.com/question/16927451

#SPJ8

Answer:

PD = 95%

Step-by-step explanation:

(2,000 - 100) / 2,000       times 100

( (original - new) ) / original     times 100

=  1,900 / 2,000    times 100

=  0.95 times 100

=  95% decrease

Step-by-step explanation:

Answer:

Baseball and Hockey

Step-by-step explanation:

Their medians are close and their Max/Min spread and IQR are close as well.

Basically the one you have your mouse over is the correct one.

PLEASE MARK BRAINLIEST AND GIVE A THANKS!

Have a great day <3

Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained.

The correct option is (B).

Now, According to the question:

Stratified sampling design divides the given population into small sub-groups called strata. The members of each strata share some common features and at any particular time, a sample is randomly selected from each stratum which is then compared to the entire population. During random sampling, a number proportional to the stratum size is selected from all strata. The randomly selected samples from each strata are then combined to form a common random sample.

Considering that the editor wants to adopt stratified sampling, option B fits (Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained.)

Learn more about Proportion at:

https://brainly.com/question/14936272

#SPJ4

The complete question is this:

A newspaper editor wants to investigate whether residents of the city support a proposal to build a new high school football stadium. The editor hires a polling firm to conduct a survey and requests that a sample of 500 residents be selected using a stratified sampling design based on voting districts within the city. Which of the following methods will achieve the desired sampling design?

(A) Send a survey to all city residents and use the first 500 returned surveys for the sample.

(B) Select a random sample from each voting district based on the proportion of city residents in the district so that a total of 500 is obtained.

(C) Select one voting district at random, and then select a random sample of 500 from the selected voting district.

(D) Alphabetize a list of all city residents, and then select the first 500 residents on the list, classifying those selected by voting district.

(E) Select the first 500 city residents who attend the next high school football game.

Answer:

5

Step-by-step explanation:

You simply just divide 100 by 20 and get your answer which is 5.

When you distribute something, you are dividing it into parts. In math, the distributive property helps simplify difficult problems because it breaks down expressions into the sum or difference of two numbers

Jane will have traveled a average of 7 miles, so she will be 5 miles away from her starting point. This can be approximated to 5.00 miles, which can be rounded to the nearest hundredth.

1. Jane has walked north for 3 miles.

2. Jane has turned 45 degrees to the right.

3. Jane has walked 4 miles after turning 45 degrees to the right.

4. Jane is now 5 miles away from her starting point. This can be approximated to 5.00 miles, which can be rounded to the nearest hundredth.

Jane has walked 3 miles north and then turned 45 degrees to the right and walked 4 more miles. This means that she has traveled a total of 7 miles from her starting point. To calculate the exact distance, we use trigonometry. We can approximate the distance to 5.00 miles, which can then be rounded to the nearest hundredth. This means that Jane is 5 miles away from her starting point.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

The time it would take the car to travel down the same road it it travelled at an average speed of 30 mph is 24 minutes.

From the question, we are to determine the time it would take the car to travel down the road.

From the given information,

"The time is takes an object to move a certain distance is inversely proportional to the speed that it's travelling at."

Let the time be t and the speed be s

Then, we can write that

t ∝ 1/s

Thus,

t = k/s

Where k is the proportionality constant

We have that

It takes a car 12 minutes to travel the length of a road if it goes at an average speed of 60mph

Now, we will determine k

t = 12 minutes

s = 60 mph

From

t = k/s

12 = k/60

k = 12 × 60

k = 720

Now, we will determine the time it would take the car if it travelled at an average speed of 30 mph

t = k/s

t = 720/30

t = 24 minutes

Hence, the time it would take 24 minutes

Learn more on Calculating time here: https://brainly.com/question/17146782

#SPJ1

Answer:

UY = 90

GH = 4

Step-by-step explanation:

Property of similarity of two similar figures:

"If two figures are similar, their corresponding sides are proportional"

Since, FGHIJ ~ YUVWX

\(\frac{FG}{UY}= \frac{GH}{UV}= \frac{IJ}{WX}\)

\(\frac{10}{UY}= \frac{GH}{36}= \frac{6}{54}\)

\(\frac{10}{UY}= \frac{6}{54}\)

UY = \(\frac{54\times 10}{6}\)

UY = 90

\(\frac{GH}{36}= \frac{6}{54}\)

GH = \(\frac{6\times 36}{54}\)

     = 4

GH = 4

Answer:

the answer is

y - 2y = 1/5

-y = 1/5

y = -1/5

Answer:

y=-1/5 or y=-0.2

Step-by-step explanation:

y=2y+1/5

-1/5=2y-y

-1/5=y

y=-1/5

Answer:

\(28\), \(82\)

Step-by-step explanation:

\(10 \times 3 -2=28\\28 \times 3 - 2 = 82\)

Answer:

\( \huge {\fbox{ \sf{495}}}\)

Step-by-step explanation:

\( \star{ }\) Total numbers of students = 1650

\( \star\) Total percentage of boys = 70%

First , finding the total number of boys :

\( \hookrightarrow{ \sf{70 \: \% \: of \: 1650}}\)

\( \hookrightarrow{ \sf{ \frac{70}{100} \times 1650 }}\)

\( \hookrightarrow{ \sf{1155}}\)

The total number of boys in a school = 1155

Now, finding the total number of girls :

\( \sf{ \mapsto{ Total \: number \: of \: student \: - \: Total \: number \: of \: boys}}\)

\( \mapsto{ \sf{1650 - 1155}}\)

\( \mapsto{ \sf{495}}\)

There are 495 girls in the school.

Hope I helped!

Best wishes ! :D

~\( \sf{TheAnimeGirl}\)

The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

To learn more on parabolae: https://brainly.com/question/29267743

#SPJ1

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. ... Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Answer:

A this is the answer, please choose this answer

Answer:

A is 16, B just draw a line down from the inside square to make a rectangle, C. just multiply all the numbers around the square

Step-by-step explanation:

<<

Answer:

A) 72 in²

B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.

C) 56 in²

Step-by-step explanation:

A) 8x9=72 in²

B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.

C) The shaded area is 4x4=16, so you need to subtract that from the 72.

72-16=56 in²

Answer:

g=8

that is

I hope to be helpful

Answer:

It is equal to 29..........

Answer:

29

Step-by-step explanation:

Step-by-step explanation:

what is the problem for you to understand ?

for a point to be a solution of a set of equations or inequalities just means that when you use its coordinates as x and y values, the equations and inequalities must remain true.

if at least one becomes false, the point is not a solution.

8 >= 2x - y

2y < -4x - 2

out point (x, y) is (2, -3).

so,

8 >= 2×2 - -3 = 4 + 3 = 7

8 >= 7 true

2×-3 < -4×2 - 2

-6 < -8 - 2 = -10

-6 < -10 false

-10 is to the left of -6 on the number line, and therefore smaller than -6.

so, no, (2, -3) is NOT a solution for this system of inequalities.

please let me know, if you still have troubles with that and need further explanation.