Answer: b (b²+b+4)
Step-by-step explanation:
b²=bb
b³=b²b
=b²b+bb+4b
=b(b²+b+4)
Aaron made a picture frame with the dimensions shown in the figure. What is the area of the picture frame? A bigger outer rectangle has sides of 12 cm and 10 cm, and an inner rectangle has sides of 8 cm and 6 cm. A. 120 square centimeters B. 88 square centimeters C. 72 square centimeters D. 64 square centimeters
The area of the picture frame 72 cm². Therefore, option C is the correct answer.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
Given that, a bigger outer rectangle has sides of 12 cm and 10 cm.
So, the area of a outer rectangle = 12×10
= 120 cm²
An inner rectangle has sides of 8 cm and 6 cm
The area of a inner rectangle = 8×6
= 48 cm²
The area of the picture frame = 120-48
= 72 cm²
Therefore, option C is the correct answer.
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Answer: C | 72 square centimeters
Step-by-step explanation:
The answer is C. 72 square centimeters. The area of the picture frame can be found by subtracting the area of the inner rectangle from the area of the outer rectangle. The area of the outer rectangle is 120 square centimeters (12 x 10). The area of the inner rectangle is 48 square centimeters (8 x 6). Therefore, the area of the picture frame is 120 - 48 = 72 square centimeters.
suppose you toss a coin times and get heads and tails. based on these results, what is the probability that the next flip results in a ?
the probability of getting a head on the next flip is estimated to be 0.81. The probability of getting two heads in a row would be the square of this probability, or 0.81 * 0.81 = 0.6561.
The probability of getting a head on any single flip of a fair coin is 1/2. However, based on the results of the previous 100 tosses, we can estimate the probability of getting a head on the next flip as the ratio of heads to total tosses, which is 81/100 or 0.81. So, the probability of getting a head on the next flip is estimated to be 0.81. The probability of getting two heads in a row would be the square of this probability, or 0.81 * 0.81 = 0.6561. The mathematical concept of probability quantifies the possibility that an event will occur. A number between 0 and 1, where 0 denotes an improbable event and 1 denotes a certain event, is used to express it. Events with intermediate probabilities (between 0 and 1) indicate a likelihood of occurrence that is between impossible and certain. The sum of the probabilities of all possible outcomes of an event must equal 1. Probability is used to make predictions and inform decision making in fields such as statistics, finance, and insurance.
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Complete Question
Suppose you toss a coin 100 times and get 81 heads and 19 tails. Based on these results, what is the probability that the next flip results in a head head?
Indicate the method you would use to prove the two 's . If no method applies, enter none.
HA
None
LA
LL
HL
Option A is correct. Use HL to prove two triangles are congruent.
Given:
In triangle ABC and triangle DEF as shown in figure below.
AB≅DE [leg] [Given]
AC≅DF [Hypotenuse side] [Given]
∠B = ∠D = 90°
HL(Hypotenuse -Leg) postulates states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Then, by HL postulates;
ΔABC ≅ ΔDEF.
Therefore, the method you use to prove the two triangle congruent is, HL.
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Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y
-intercept to the nearest integer.
The equation of the line of the best fit for the data will be, y=2.07x-7.5.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
The equation of the line is;
y=mx+c
y=2.07x-7.5
Hence, the equation of the line of the best fit will be, y=2.07x-7.5
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One hundred people were asked about their favorite sport.
The statement that best describes the two - way frequency table is b. More females like soccer.
How to find the correct statement ?The number of females who like soccer are 31 females out of a total of fifty females who were interviewed.
This means that the number of females who like basketball are :
= 50 - 31 females for soccer
= 19 females
31 females like soccer while 19 females like basketball which shows that more females prefer soccer to basketball.
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Which kind of triangle is shown?
acute triangle
obtuse triangle
equilateral triangle
right triangle
The kind of triangle which is shown in the image is Obtuse triangle. The Option B is correct.
What is the features of Obtuse triangle?An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Characteristics of Obtuse Angled Triangle:
The sum of the two angles other than the obtuse angle is less than 90°.The side opposite the obtuse angle is the longest side of the triangle.An obtuse triangle will have one and only one obtuse angle. The other two angles are acute angles.Read more about Triangle
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Can some one help me find y I have already found x
Step-by-step explanation:
Since y is on a straight line, it'll be easy
The degree of a straightine is 180
You have one angle of 57, so all we do is subtract 57 from 180
180-57 = 123
Gina's goal is to raise $160 for the school through her ticket sales. if she is selling the tickets for $3 each, what is the minimum number of tickets Gina needs to sell in order to earn $160?
Answer: All she needs to sell is 53 tickets
Step-by-step explanation: You divide 160 by 3 which gives you 53.3333 so you take the decimal place and get rid of it and it gives you 53. So she needs to sell at least 53 tickets to reach her goal
Which of the following shows
-3x² + 4(x - 2) = 7x(3 - x) + 1 in
standard form?
A. -7x² + 21x + 1 = 0
B. -3x² - 10x - 9 = 0
C. -3x²+ 4x - 8=0
D. 4x² - 17x-9=0
The equation in standard form is D. 4x² - 17x-9=0
How to determine the equationTo make an equation into standard form is to equate the terms and factors to zero.
Given the expression;
-3x² + 4(x - 2) = 7x(3 - x) + 1
expand the bracket
-3x² + 4x - 8 = 21x - 7x² + 1
Now, collect the like terms
-3x² + 7x² + 4x - 21x = 1 + 8
Add or subtract the like terms
4x² - 17x = 9
Equate equation to zero, we get;
4x² - 17x - 9 = 0
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Which of the following services will be provided by a full-service broker but not by a discount broker?
I. Research of potential investment opportunities
II. Purchase and sale of stock at your request
III. Recommendation of investments
a.
I and III
b.
II only
c.
III only
d.
I, II, and III
Please select the best answer from the choices provided
A
B
C
D
Option A i.e. the first and the third service will be provided by a full-service broker but not by a discount broker.
What is meant by a broker?
An impartial party whose services are often used in several businesses is a broker. The main duty of a broker is to connect buyers and sellers; as a result, the broker acts as a neutral intermediary between a buyer and a seller.
The services which will be provided by a full-service broker but not by a discount broker are
Option I. Research of potential investment opportunities
Option III. Recommendation of investments
For any form of investment, research and recommendations are key and important components. Before you make any investments, you should conduct adequate research.
Hence, option A i.e. the first and the third service will be provided by a full-service broker but not by a discount broker.
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I WILL GIVE BRAINLY
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
x g(x)
0 $1,500
2 $1,350
4 $1,200
Part A: Find and interpret the slope of the function. (3 points)
Part B: Write the equation of the line in point-slope, slope-intercept, and standard forms. (3 points)
Part C: Write the equation of the line using function notation. (2 points)
Part D: What is the balance in the bank account after 5 days? (2 points)
Answer:
Part A: Slope (m) = -75
Part B:
Point-slope form --- y - 1350 = -75(x - 2)
Slope-intercept form --- y = -75x + 1500
Standard form --- 75x + 1y = 1500
Part C: g(x) = -75x + 1500 (Just replace 'y' in y = mx + b with 'g(x)').
Part D: The balance in the bank account after 5 days equals $1,125.
Step-by-step explanation:
(Pertaining to Part D --- Plugging in variables):
To find the answer to Part D, we must first take the function notation equation from Part C and plug in the appropriate variables needed to find the balance in the bank account after 5 days. So, we plug in '5' for g(x), which would give us g(5). For the other x found in the equation, we also correspondingly replace it with '5'. Our equation now appears as g(5) = -75(5) + 1500.
Finally, we must solve this equation using the order of operations, which simplifies our equation to g(5) = -375 + 1500. We can simplify this further by adding 1500 to -375, giving us the final answer for Part D of $1,125 being the balance in the bank account after 5 days.
Hope that helps!!
Answer:
Part A: Slope (m) = -75
Part B:
Point-slope form --- y - 1350 = -75(x - 2)
Slope-intercept form --- y = -75x + 1500
Standard form --- 75x + 1y = 1500
Part C: g(x) = -75x + 1500 (Just replace 'y' in y = mx + b with 'g(x)').
Part D: The balance in the bank account after 5 days equals $1,125.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
The owner of two hotels is ordering towels. He bought 6 hand towels and 27 bath towels for his hotel in Campbell, spending a total of $255. He also ordered 50 hand towels and 27 bath towels for his hotel in Lowell, spending $343. How much does each towel cost?
A hand towel costs $ ----------, and a bath towel costs $ --------.
Answer:
A handtowel costs $2.00 and a bathtowel is $9.00
Step-by-step explanation:
Let h equal the cost of a handtowel. And let b equal the cost of a bathtowel.
In Campbell, they spent:
255 = 6h + 27b
In Lowell, they spent:
343 = 50h + 27b
Solve the system.
see image.
on a piece of paper, graph y + 2 > -3x - 3. Then determine which answer choice matches the graph you drew
On solving the provided question, we can say that the inequality is y+2> -3x-3, Graph the points (0,-5) and (-2,1)
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
the inequality is
y+2> -3x-3
y > -3x-5
y = -3x-5
x y = -3x-5
0 -5
-1 -2
-2 1
Graph the points (0,-5) and (-2,1)
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1) A function f(x), which contained the point (5,4) was transformed with the rule 2f (x-3) + 4. What would
be the new coordinates of that point?
(2,-2)
The solution is, point (5,4) will correspond to (5,8).
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
1) To find that the corresponding points, let'-s plug it into that formula:
(5,4)
If we plug 5 and we have output the number 4,
then f(x) is y=x-1
now,
2f(x-3)+4 is the function f(x) with a horizontal shift of 3 units to right, a vertical stretch 4, a reflection.
2) y=2(5-3)+4 then y=2(2)+4
y=8
So point (5,4) will correspond to (5,8)
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brad was hang gliding at a constant velocity. he moved 395 meters Southeast in 31.6 seconds. what was his velocity
Answer: To calculate Brad's velocity, we can use the formula:
velocity = distance / time
where:
distance = 395 meters (the distance traveled)
time = 31.6 seconds (the time it took to travel that distance)
Plugging in the values into the formula, we get:
velocity = 395 meters / 31.6 seconds
velocity = 12.5 meters per second
So Brad's velocity was 12.5 meters per second in a southeast direction.
Step-by-step explanation:
Remember what we know about vertical angles and solve for x.
Then tell me the measure of Angle R.
The value of x by using vertical angles is 4, and the measure of angle R is 34°
Vertical Angles.Vertical angles are angles that are formed and are opposite of each other when two lines intersect. Vertical angles are congruent angles, it implies that they exhibit the same angle measure. Vertical here refers to the fact that they have the same Vertex (corner point).
From the information given:
6x + 10 = 8x + 2
6x - 8x = 2 - 10
-2x = -8
x = -8/-2
x = 4
The measure of angle R = 6x + 10
= 6(4) + 10
= 24 + 10
= 34°
Therefore, we can conclude that the measure of angle R is 34°
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5.) DO THE MATH: In 1921, $1,500,000 in real estate and $750,000 in personal property
was lost. Add both numbers and subtract them rom $32, 250,000 from 2019. What is the
difference? (10 points)
The difference between 2019 and 1921 is given by $30,000,000
What is the difference?Difference refers to the subtraction of two or more values.
1921 loss:
Real estate= $1,500,000
Personal property = $750,000
Total loss = $1,500,000 + $750,000
= $2,250,000
2019:
$32, 250,000
The difference between 2019 and 1921
= $32, 250,000 - $2,250,000
= $30,000,000
Therefore, there is a difference of $30,000,000
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What is the length of each leg of a 45-45-90 triangle if the hypotenuse has a length of 4√2?
Answer:
The length of each leg would be 4 units
Step-by-step explanation:
The hypotenuse of a 45-45-90 is √2 times bigger than either side length since they're the same lengths.
There are 150 employees in a factory.（2/3）of the employees are males. Then, 20 male employees and 10 female employees are resigned. A employee is chosen at random from the remaining employees. Find the probability of choosing a female employee.
===================================================
Explanation:
2/3 of 150 = (2/3)*150 = 100 employees are male and 150-100 = 50 employees are female. This is before the resignations.
After the resignations happen, we would have:
100-20 = 80 males remain50-10 = 40 females remain80+40 = 120 employees remain.The chances of picking a female employee at random would be 40/120 = 1/3 which is the final answer.
Notice how the chances haven't changed from earlier (male = 2/3 chance, so 1-2/3 = 1/3 are the chances of picking a woman). Why is this? Well notice the ratio of 20 men to 10 women resigning. This ratio is 2:1, meaning twice as many men resigned. Furthermore, notice how 2/3 is twice that of 1/3.
This keeps the same proportion of men to women. Therefore, the odds haven't changed.
he accompanying histogram shows the life expectancies at birth for 190 countries as collected by an international health agency.
a) Which would you expect to be larger: the median or the mean? Explain briefly.
b) Which would you report: the median or the mean? Explain briefly.
a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.
a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.
b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.
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SOMEONE HELLPPPP IM SCAREDDDDD
Answer: AE
Step-by-step explanation:
if you look at the picture you can tell that Ae is a ray because rates tend to have 2 points and 2 sides one going on forever. that's why there's an arrow near "a"
What point lies on the line with a slope of m=2/3 that passes through the point (-3,-2)?
PLEASE SHOW WORK
Answer: y = 2/3x
Step-by-step explanation:
This is pretty easy too
the equation for a line is: y = mx + b, where m is the slope and b is the y intercept
y = 2/3x + b, where we need to find b
substituting the point we are given:
-2 = 2/3(-3) + b
-2 = -2 + b
0 = b
so our line is simply:
y = 2/3x
graph the inequalities
2y+8x<4
5x+20 is greater than or equal to -10y
The graph to the inequality is added as an attachment
How to determine the graph to the inequalityFrom the question, we have the following parameters that can be used in our computation:
2y+8x<4
5x+20 is greater than or equal to -10y
Express properly
2y+8x<4
5x+20 > -10y
Next, we make a plot of the system to determine the solution
The shaded area in the plot represent the solution to the inequality
In this case, the shaded area has a coordinate of (1.143, -2.571)
Hence, the solution is (1.143, -2.571)
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if the simple interest on $6,000 for a year is 900 then what is the interest rate
Work Shown:
i = P*r*t
900 = 6000*r*1
r = 900/6000
r = 0.15
That converts to 15% after moving the decimal point 2 spots to the right. It's the same as multiplying by 100.
what is the surface area of a right cylinder with a radius of 6 units and a height of 14 units?
The surface area of a right cylinder with a radius of 6 units and a height of 14 units is equal to 753.6 square units.
How to calculate surface area of a cylinder?Mathematically, the surface area (SA) of a right cylinder can be calculated by using this formula:
SA = 2πrh + 2πr²
Where:
h represents the height.r represents the radius.By substituting the given parameters into the surface area of a right cylinder formula, we have;
Surface area (SA) of cylinder = (2 × 3.14 × 6 × 14) + 2 × 3.14 × 6²
Surface area (SA) of cylinder = 527.52 + 226.08
Surface area (SA) of cylinder = 753.6 square units.
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A rental car company charges $74.90 per day to rent a car and $0.13 for every mile driven. Tyee wants to rent a car, knowing that:
Answer:
74.90d + 0.13m = Total cost of the car rental
Step-by-step explanation:
Hmmm you didn't give enough information but....
let d represent the number of days
let m represent the number of miles driven
74.90d + 0.13m = Total cost of the car rental
For example Tyee rents the car for 2 days and drives 100 miles
149.8 + 13 = Total cost of the car rental.
$162.8 is the Total cost of the car rental.
In order to keep the numbers in the proper place-value column
The order of the place value in increasing order is equal to units , tens , hundreds , thousands , ten-thousand and so on.
The value of every digit present in any number depends on the position of the digit in a number.The place of the digit in the number represents its place value of the digit in a number.Starting position of a digit is ones or units.After unit the place value is tens.In ascending order the place value of all the digit in any given number is represented as units , tens , hundreds , thousands , ten- thousands, so on.Therefore, the order of the place value in ascending order of the place of the digit is given by units , tens , hundreds , thousands , ten-thousand and so on.
The given question is incomplete, I answer the question in general according to my knowledge:
What is the order of the place value ?
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The equations represent the elevations, y, of two hikers, in meters, after x hour. Wich ordered pair, (0, 0), (1, 7) or (2, 10), is a solution to the system? will the hikers ever be the same elevation? explain. Y = 6x + 1
y = 3x + 4
yes. the hikers will ever be the same elevation.6+1=7 the same elevation.
Y = 6x + 1
FIll the value of y in this equation
3x + 4= 6x + 1
3x=4-1
x=3/3=1
Y = 6x + 1
FIll the value of x in this equation
6+1=7. The height above or below a specified reference point, most frequently a reference geoid, which is a mathematical representation of the Earth's sea level as an equipotential gravitational surface, determines a location's elevation. In most cases, elevation is used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface. Elevation should not be confused with the angular separation from the Earth's center. The summits of Mount Everest and Chimborazo have the highest elevation and greatest geocentric distance, respectively, because of the equatorial bulge.
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In the U.S., shoe sizes are defined differently for men and women, but in Europe, both genders use the same shoe size scale. The accompanying histograrn shows the European shoe sizes of 269 male and female college students, converted from their reported U.S. shoe sizes. a) Describe the shape. b) How many modes does the histogram have? What might explain that? Click the icon to view the histogram of shoe sizes. a) The distribution is roughly symmetric and bimodal. b) Choose the correct answer below.
a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.
The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.
a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".
b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.
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An account earns simple annual interest. $600 at 5% for 2 years
The total amount of interest earned at the end of 2 years is $60.
1. Calculate the interest earned in one year:
Interest = Principal × Rate × Time
Interest = 600 × 0.05 × 1
Interest = $30
2. Multiply the interest earned in one year by the number of years:
Total interest = 30 × 2
Total interest = $60
The total amount of interest earned at the end of 2 years is $60. This amount was earned by taking the principal amount of $600 and multiplying it by the rate of 5%, and then multiplying that product by the number of years, which in this case is 2. This calculation can be expressed as:
Total interest = Principal × Rate × Time
Total interest = 600 × 0.05 × 2
Total interest = $60
the complete question is :
An account earns simple annual interest. $600 at 5% for 2 years. How much interest will be earned on $600 invested at 5% simple annual interest for 2 years?
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