The total area of the blue figure is 56.25 ft².
How to find the total area?We can decompose the figure in 3 simpler ones.
First, a rectangle of 5 ft by 10ft, the area of that is the product between the two dimensions, so we will get the area:
A = 5ft*10ft = 50ft²
And the area of a triangle of base B and height H is:
A =B*H/2
For the triangle in the left, the area is:
A' = 1ft*5ft/2 = 2.5ft²
For the one in the left we get:
A'' = 1.5ft*5ft/2 = 3.75ft².
Adding all that we will get a total area of:
T = 50ft² + 2.5ft² + 3.75ft²
T = 56.25 ft².
Learn more about area at:
https://brainly.com/question/24487155
#SPJ1
An item costs $ 390 before tax, and the sales tax is $31.20 .
Find the sales tax rate. Write your answer as a percentage.
Answer:
7.80/390=0.02=2%
Step-by-step explanation:
Answer:
Step-by-step explanation:
390x=31.20
divide each side by 390
you get 0.08
multiply that by 100
you get 8%
hlpppppppppppppppppppppppppppppppp
Answer:
c
Step-by-step explanation:
-7.5 is less than 6.5
Ali wants to make bracelets to sell at a craft fair. She borrows money from her sister to
buy beads and cord. Ali spends $8.00 on supplies. At the craft fair, Ali makes $17.00
selling her bracelets. How much money does Ali have after she pays back her sister?
Answer:
She has 9.00 left
Step-by-step explanation:
She borrowed 8.00 then she made 17.00 then you subtract 17.00 - 8.00 and get 9.00
A tour company is planning a bus excursion for 125 people. They work with a bus company that supplies the
drivers and has two different bus models to choose from: a big bus with a capacity for 55 people which
costs $750 for the day and a smaller bus with a capacity for 30 people which costs $400 for the day. The
tour company can order any combination of buses it needs for the trip. How many of each bus type should
they order?
Write your answer in a document and hand it in or e-mail it to the instructor
The tour company planning a bus excursion for 125 people can determine the number of each bus type they should order by considering the capacity and cost of each bus model.
By dividing the total number of people by the capacity of each bus model, they can identify the minimum number of buses required for each type. The remainder of the passengers can be accommodated with the second bus model. The final decision depends on the cost-effectiveness, as the tour company aims to minimize expenses while meeting the capacity requirements. To determine the number of each bus type to order, we start by dividing the total number of people (125) by the capacity of the big bus (55). This calculation gives us a minimum requirement of 2 big buses (110 people). However, this still leaves 15 people to be accommodated. Since the smaller bus has a capacity of 30 people, we divide the remaining number of people (15) by the capacity of the smaller bus. This calculation indicates that an additional small bus is required to accommodate the remaining passengers. The tour company should order 2 big buses and 1 small bus. This combination ensures that all 125 people can be accommodated while minimizing costs. The cost of the big buses would be $750 x 2 = $1,500, and the cost of the small bus would be $400 x 1 = $400, resulting in a total cost of $1,900 for the buses.
Learn more about minimizing costs here: brainly.com/question/14965408
#SPJ11
Choose an expression that is equivalent to negative four raised to the fourth power divided by negative four raised to the second power.
negative four raised to the second power divided by negative four raised to the fourth power
negative four raised to the fifth power divided by negative four
negative four raised to the sixth power divided by negative four raised to the fourth power
negative four divided by negative four raised to the fifth power
Answer:
C
Step-by-step explanation:
negative four raised to the sixth power divided by negative four raised to the fourth power
because negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power
negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power
The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.
Explanation:This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.
Learn more about Exponents here:
https://brainly.com/question/5497425
#SPJ2
Graph the equation using the slope and y-intercept? y= -3x+5
Answer:
Step-by-step explanation:
You need to graph 2 points then you have to draw a line through it.
The 2 points I used were (0,5) and (1,2). Then just draw a line.
For a large random sample, what z-score(s) cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL)?
To determine the z-score(s) that cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL), we can use the properties of the standard normal distribution.
The "middle 98%" refers to the area under the normal curve between the z-scores that enclose the central 98% of the distribution. In a standard normal distribution, the mean is 0 and the standard deviation is 1.
Since the distribution is symmetric, we need to find the z-score(s) that correspond to the area of (1 - 0.98) / 2 = 0.01 on each tail of the distribution. The remaining 0.02 is split equally between the two tails.
To find the z-score(s), we can use a standard normal distribution table or a calculator.
Looking up the value of 0.01 in the z-table, we find that the z-score that corresponds to the lower tail is approximately -2.33. This means that 1% of the area lies to the left of z = -2.33.
To find the z-score for the upper tail, we use the symmetry of the distribution. The z-score that corresponds to the upper tail is the negative of the z-score for the lower tail, so it is approximately 2.33.
Therefore, the z-scores that cover the "middle 98%" of the normal curve and represent the 98% confidence level (CL) are approximately -2.33 and 2.33.
To learn more about symmetry : brainly.com/question/1597409
#SPJ11
Write FIVE (5) major learnings of yours in media and current event
course. Explain each learning briefly
Throughout my studies in media and current events, I have gained several major learnings that have shaped my understanding of the subject matter.
These include the importance of media literacy and critical thinking, the power and influence of social media, the role of bias in news reporting, the significance of ethical journalism, and the impact of media on shaping public opinion.
1. Media Literacy and Critical Thinking: One of the most crucial learnings is the importance of media literacy and critical thinking skills. It is essential to analyze and evaluate the information presented by media sources, considering their credibility, bias, and potential agenda. Developing these skills enables individuals to make informed judgments and avoid misinformation or manipulation.
2. Power and Influence of Social Media: Another significant learning is recognizing the power and influence of social media in shaping public opinion and disseminating news. Social media platforms have become prominent sources of information, but they also pose challenges such as the spread of fake news and echo chambers. Understanding the impact of social media is crucial for both media consumers and producers.
3. Role of Bias in News Reporting: Media bias is an important factor to consider when consuming news. I have learned that media outlets may have inherent biases, influenced by their ownership, political affiliations, or target audience. Recognizing these biases allows for a more balanced and critical understanding of news content, and encourages seeking diverse perspectives.
4. Significance of Ethical Journalism: Ethics play a fundamental role in responsible journalism. I have learned about the importance of principles such as accuracy, fairness, and accountability in reporting news. Ethical journalism promotes transparency and ensures the public's trust in the media, contributing to a well-informed society.
5. Impact of Media on Shaping Public Opinion: Lastly, I have learned that the media holds a significant role in shaping public opinion and influencing societal attitudes. Through various forms of media, such as news coverage, documentaries, or entertainment, narratives are constructed that can sway public perception on issues ranging from politics to social matters. Recognizing this influence is crucial for media consumers to engage critically with the information they receive and understand the potential impact it can have on society.
These five major learnings have provided me with a comprehensive understanding of media and current events, enabling me to navigate the vast landscape of information and make more informed judgments about the media I consume. They highlight the importance of media literacy, critical thinking, understanding bias, ethical journalism, and the impact media has on public opinion, ultimately contributing to a more well-rounded and discerning approach to media consumption.
Learn more about media here: brainly.com/question/20425002
#SPJ11
Your weekly net income is $380. Your total budgeted monthly expenses $1. 550,00. Do you have a surplus or deficit balance at the end of the month?
We will have a Deficit balance of $30 at the end of the month.
"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."
Weekly net income = $380
Monthly net income = $380 * 4 weeks = $1520.
Monthly expenses = $1550
Balance = Monthly income - monthly expenses = $-30.
The negative sign shows a deficit of $30 monthly
Therefore, We will have a Deficit balance of $30 at the end of the month.
To learn more about Deficit, visit the link below:
brainly.com/question/2290367
#SPJ4
Help me on this please I’d appreciate it
Evaluate 5(x - 1) - 2 when x = 3.
OA. 8
OB. 0
O C. 12
OD. -4
The value of f(3) for the given expression is 8.
What is evaluation of an expression?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. We use the given number to replace the expression's variable before applying the order of operations to simplify the expression. The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Given, the expression is 5(x - 1) - 2
Let y = f(x) = 5(x - 1) - 2 = 5x - 5 - 2 = 5x - 7
Therefore, f(3) using the equation above is: f(3) = 5(3) - 7 = 8
Thus, the value of f(3) or y at x = 3 for the given expression is 8.
To learn more about this, tap on the link below:
https://brainly.com/question/4344214
#SPJ9
plz answer as fast as possible
What is the value of 3/7 * 0.1 / 5/21?
Answer:
B
Step-by-step explanation:
3/7 * 1/10 * 21/5
=63/350
=9/50
Convert 2077 to base eight
To convert 2077₁₀ to base eight is 4035₈
How to convert 2077 to base 8?Since 2077 is in base 10, to convert it to base 8, we successively divide it by 8 and keep the remainder. We divide until we have zero as the dividend then count the remainder from bottom to top.
So, to convert 2077 to base 8, we have
2077 ÷ 8 = 259 r 5
259 ÷ 8 = 32 r 3
32 ÷ 8 = 4 r 0
4 ÷ 8 = 0 r 4
So, counting the remainders from bottom to top, we have 4035₈
So, 2077₁₀ = 4035₈
So, to convert 2077₁₀ to base eight is 4035₈
Learn more about convert to base eight here:
https://brainly.com/question/13556214
#SPJ1
help math pklz hekllo
Answer:
ইহেবে জেজে জেহব ইঞ্জিন জেবি জেজেবেজে jeiehbbr রুরুরব এভে
A choir director collected data about the number of members in the choir for the last 20 years. The mean number of choir members is 52.68 with a standard deviation of 2.35. This year. The choir has 46 members. The choir director wants to find and interpret the z-score for 46 choir members.
Required:
Write down the statements about the z-score and its interpretation.
The statements about the z-score and its interpretation are as follows:Since the choir director wants to determine the z-score for 46 choir members, the formula for the z-score is: z = (x - μ) / σ
where, x = 46 (the number of members in the choir this year)
μ = 52.68 (the mean number of choir members for the last 20 years)
σ = 2.35 (the standard deviation of choir members for the last 20 years)
Plugging in the values, we have:z = (46 - 52.68) / 2.35= -2.85
Hence, the z-score for 46 choir members is -2.85.
The interpretation of the z-score is as follows:
Since the z-score is negative, it means that the number of choir members this year (46) is below the mean number of choir members for the last 20 years (52.68).
Moreover, the magnitude of the z-score (-2.85) suggests that the number of choir members this year is considerably less than the mean number of choir members for the last 20 years.
Therefore, the choir director may need to investigate the reasons behind the reduction in the number of choir members this year and take appropriate measures to address the issue.
To know more about magnitude, visit
https://brainly.com/question/31022175
#SPJ11
Help pls! Giving brainliest
Answer:
the 2nd one
Step-by-step explanation:
The larget taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. The total weight of thee two ingredient wa 617. 3 kg. How many kilogram of each ingredient were ued?
The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg
What is a unit amount in math?
When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio
1 k + 6.6 k = 617.3
Where “k” is a constant value, a multiplier.
Solving for k:
7.8 k = 617.3
k = 617.3 /7.8
k= 79.17
So:
Amount of onion used:
1 (79.17) = 79.17 kg
Amount of grilled steak used:
6.6 (79.17) = 538.356 kg
learn more about of ingredient here
https://brainly.com/question/15103492
#SPJ4
Is 3/4greater or less than 1/2....is it 1/2?
Answer: yes 3/4 is greater
converting both fractions to decimals. The decimal 0.75 is bigger than 0.5, so 3/4 is bigger than 1/2.
Answer:
3/4 is greater than 1/2.
Step-by-step explanation:
One way to compare fractions is by making them have the same denominator.
You can do this by finding the least common denominator (LCM).
First, list the multiples of each denominator.
4: 4, 8, 12, 16, 20
2: 2, 4, 6, 8, 10
As you can see, 4 is the LCM.
Now, change the fractions to where they denominators of 4.
**WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MUST ALSO MULTIPLY IT BY THE NUMERATOR.**
\(3/4*1/1=3/4\) (STAYS THE SAME)
\(1/2*2/2=2/4\)
Now, as you can see, 3/4 is larger than 2/4.
Therefore, 3/4 is larger than 1/2.
A stack of Magic cards consists of 4 land cards and 6 creature cards. You draw 4 cards from the shuffled stack of 10 cards. Find the probability that you pull 4 creature cards. (give answer as a fraction or a decimal to 3 decimal places)
Find the probability that you pull 3 land cards and 1 creature card.
(give answer as a fraction or a decimal to 3 decimal places)
Answer:
1/14 ; 1/35
Step-by-step explanation:
A
6/10 x 5/9 x 4/8 x 3/7
3/5 x 5/9 x 1/2 x 3/7
1 x 1/3 x 3/14
1/14
B
4/10 x 3/9 x 2/8 x 6/7
2/5 x 1/3 x 1/4 x 6/7
2/15 x 3/14
1/5 x 1/7
1/35
The probability that 4 creature cards is pulled is 1/14 and the probability that 3 land cards and 1 creature card is pulled is 4/35
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here there are 4 land cards and 6 creature cards
thus selecting four cards at random from 10 cards is ¹⁰C₄=210
and the event of selecting 4 creature cards from a total of 6 cards is ⁶C₄ =15
Therefore probability of pulling 4 creature cards is = 15/210
= 1/14
The probability of pulling 3 land cards and 1 creature cards is
= ⁴C₃ × ⁶C₁ / ¹⁰C₄
= 4/35
Hence 1/14 and 4/35 are the respective probabilities.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ2
4. Name the quadrant in which point (4,1) is located.a. IIb. Ic. IIId. IV
A Coordinate plane has two perpendicular number lines. The vertical line is the y-axis and the horizontal line is the x-axis. The point of intersection between this line is called "Origin" and it's at the point (0,0).
There are four sections in a Coordinate plane which are called "Quadrants". See the drawing below to see their location in the Coordinate plane:
Having the point:
\((4,1)\)You can notice that, the x-coordinate is positive and the y-coordinate is also positive. This means that the point (4,1) is located in the QUADRANT I.
Therefore, the answer is: b. I
HELP PLS I need “the price of a sweater was reduced from 20$ to 12$. By what percentage was the price of the sweater reduced?” HELP PLS QUICKLY
Answer:
40%
Step-by-step explanation:
1) Given that the $20 was reduced to $12 indicates that $8 was discounted from the total price.
2) Take the $8 and divide by $20 to get 4/10 or 2/5 which
is 40%
Answer:
the answers is 40%
8 is 40 percent of 20
What is the equation of the line that passes through (0,-5) and (-3,-12)?
Answer:
-20
Step-by-step explanation:
For h(x) = x3 + 2x, find h(4).
Answer:
h(4) = (4)3+2(4) = 20
Step-by-step explanation:
First you input 4 wherever there is an x then you restated the equation with 4 substituted in as x next solve
The value of h(4) is 72.
Important information:
The given function is \(h(x)=x^3+2x\).Value of function:Substitute \(x=4\) in the given function.
\(h(4)=(4)^3+2(4)\)
\(h(4)=64+8\)
\(h(4)=72\)
Therefore, the value of h(4) is 72.
Find out more about 'Value of function' here:
https://brainly.com/question/11185647
What is the solution to this equation?
Answer:
C. x = 7
Step-by-step explanation:
(7+6) = 13
2(7) - 1 =
14- 1 = 13
13-13 = 0
find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.
To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:
We have:
Point: (0, 1)
Slope: 5xy
We can start by integrating the slope function to find the equation of the curve:
∫(dy/dx) dx = ∫(5xy) dx
Integrating both sides:
∫dy = ∫(5xy) dx
Integrating with respect to y on the left side gives us:
y = ∫(5xy) dx
To solve this integral, we treat y as a constant and integrate with respect to x:
y = 5∫(xy) dx
Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:
y = 5 * (1/2) * x^2y + C
Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:
1 = 5 * (1/2) * (0)^2 * 1 + C
1 = C
Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:
y = 5 * (1/2) * x^2y + 1
Simplifying further, we have:
y = (5/2) * x^2y + 1
To know more about equation of the curve refer here:
https://brainly.com/question/31467851#
#SPJ11
A car travels 35 km in half an hour. What is the average speed of the car in km/hr?
Answer:
70 km in an hour
Step-by-step explanation:
35 x 2 is 70
Answer:
Step-by-step explanation:
70km/h
Source: https://www.gigacalculator.com/calculators/average-speed-calculator.php
Which of these ordered pairs is in the solution region of the absolute value
inequality given below?
y > -2|x + 11| + 3
A(0,0)
B (-2,0)
C (0,1)
D (1,-2)
Answer:
Your answer will be B
Step-by-step explanation:
what is the condition for the first dark fringe through a single slit of width w?
The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).
This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2
Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.
learn more about first dark fringe click here:
https://brainly.com/question/27548790
#SPJ11
how do I solve this, please help
9514 1404 393
Answer:
EF = DE = 44FG = DG = 36FH = DF = 31Step-by-step explanation:
Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.
DE = EF
(9x -1) = (7x +9)
2x = 10 . . . . . . . add 1-7x
x = 5 . . . . . . . . . divide by 2
__
Similarly, marked sides GD and GF are the same length, so ...
GD = GF
(10y -4) = (7y +8)
3y = 12 . . . . . . . . . . add 4-7y
y = 4 . . . . . . . . . divide by 3
__
Now, we have what we need to calculate the side lengths.
EF = 7x+9 = 7·5 +9 = 44
DE = 9x-1 = 9·4 -1 = 44
FG = 7y+8 = 7·4 +8 = 36
DG = 10y-4 = 10·4 -4 = 36
FH = 3x+4y = 3·5 +4·4 = 31
DF = FH = 31
a car travels 30m in 2 minutes whats the speed
Answer:
15
Step-by-step explanation:
speed is distance over time so its 30 devided by 2