Translation: 4 left and 2 down
Answer: (2,0) = (-2,-2) (2,2) = (-2,0) (1,0) = (-3,-2) (0,2) = (-4,0)
Step-by-step explanation:
Rotation: 180° about the origin
According to the above, the figure rotated 180° would remain as shown in the image in the fourth quadrant of the Cartesian plane (+ , -)
How to rotate the figure 180°?To rotate the figure 180 degrees we must take into account its initial position. Additionally, we must remember that each quadrant is equivalent to 90°, so we would have to rotate it two quadrants. In this case it is not important to know if it rotates counterclockwise or clockwise because we know it will be in quadrant #4.
In this case, we must be guided by the coordinates that the figure has to draw it again. From the above we can see that it has four coordinates at the top. In the case of the figure rotated in quadrant #4, these four coordinates would be at the bottom because the figure has been rotated 180°.
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A rectangular field is 100 meters wide and 150 meters long.
Give the length and width of another rectangular field that has the same perimeter but a smaller area.
Answer:
perimeter of first ️
2(100+150) = 500 m
4.A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 2/3 of the whole pizza.
Which equation represents a way to find the total number of slices that were in the whole pizza?
A. 2/3.x=4
B. 4.x=2/3
C. 2/3+x=4
D. x= 4.2/3
The equation that represent the whole slices is as follows:
2 / 3 x = 4 .
Therefore, the answer is A.
How to find the equation to represent an expression?A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 2/3 of the whole pizza.
Therefore, the equation that represent a way to find the total number of slices that were in the whole pizza can be calculated as follows:
Let
x = amount of the whole pizza
Therefore,
2 / 3 x = 4
cross multiply
2x = 4(3)
2x = 12
x = 12 /2
x = 6
Therefore, the whole slice is 6.
Hence, the equation is 2 / 3 x = 4
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Help Plsss! I’ll give brainliest
Please help me anyone ?!!!
Answer:
18 dollars
Step-by-step explanation:
he is left with 8 dollars. He buys one granola bar (2), one smoothie (3), and one sandwich (5).
This means that he has spent 2 dollars, 3 dollars, and 5 dollars, which totals 10 dollars (2 + 3 + 5 = 10). He is left with 8 dollars, so we know that he originally had 18 dollars because 10 + 8 = 18.
A social worker at a large high school wants to estimate the number of days students are absent. He randomly
selects 45 students and records the number of days each one is absent. The social worker constructs a 95%
confidence interval for the true mean number of days students at this school are absent. Which of the following
would decrease the margin of error?
O using a sample of size 30
O using a sample of size 40
constructing a 90% confidence interval
O constructing a 99% confidence interval
Answer:
The answer is C.)
Step-by-step explanation:
Solve : select all answer that apply
|x/5| = 1
x=3
x= -1
x=-6
x= 5
x=-5
The correct solution for the given absolute function |x/5| = 1 is: x = 5 and x = -5.
Explain about the absolute function?The variable inside this absolute value bars makes up an essential algebraic function known as the absolute value function.
This same absolute value function is likewise referred to as the modulus function, and its most popular representation is f(x) = |x|, wherein x is a real number. Such operations are frequently used to determine the separation between two points. Beyond a certain point, all of these functions change (becoming rising or decreasing).The given function is-
|x/5| = 1
Solving the bars will give:
x/5 = 1 and x/5 = -1
So,
x = 5 and x = -5 are the solution of the absolute function.
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Here is summary information on the alcohol percentage
for a sample of 25 beers:
lower fourth ¼4:35 median ¼5 upper fourth ¼5:95
The bottom three are 3.20 (Heineken Premium
Light), 3.50 (Amstel light), 4.03 (Shiner Light)
and the top three are 7.50 (Terrapin All-American
Imperial Pilsner), 9.10 (Great Divide Hercules
Double IPA), 11.60 (Rogue Imperial Stout).
a. Are there any outliers in the sample? Any
extreme outliers?
b. Construct a boxplot that shows outliers, and
comment on any interesting features.
a. Rogue Imperial Stout (11.6) is an extreme outlier.
b. This suggests that there may be more beers with lower alcohol percentages in the sample than higher percentages.
How does math define a percentage?When the denominator is 100, percentages are really just fractions. We place the percent symbol (%) beside a number to indicate that it is a percentage. For instance, if you answered 75 out of 100 questions correctly on a test, you would have received a 75%.
According to the given information:To determine if there are any outliers in the sample, we need to calculate the interquartile range (IQR), which is the difference between the upper quartile (Q3) and lower quartile (Q1).
IQR = Q3 - Q1
= 5.95 - 4.35
= 1.6
We then use the following rule to identify outliers:
Mild outliers: values that are less than Q1 - 1.5(IQR) or greater than Q3 + 1.5(IQR).
Extreme outliers: values that are less than Q1 - 3(IQR) or greater than Q3 + 3(IQR).
Using this rule, we have:
Mild outliers: None.
Extreme outliers: Rogue Imperial Stout (11.6) is an extreme outlier.
b. The boxplot below shows the distribution of alcohol percentage for the sample of 25 beers. The box represents the interquartile range (IQR), with the lower and upper whiskers extending to the smallest and largest values within 1.5 times the IQR from the lower and upper quartiles, respectively. Any values beyond the whiskers are considered outliers.
Another interesting feature of the boxplot is that the distribution appears slightly skewed to the right, with the median (5) closer to the lower quartile (4.35) than the upper quartile (5.95). This suggests that there may be more beers with lower alcohol percentages in the sample than higher percentages.
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How is solving a word problem similar to specific tasks you do at school, at home, or at a job? What types of addition problems might be necessary in the next job you expect to have? How can knowing how to problem solve in this way be helpful in the real world? Use the Text Editor to write at least 200 words answering these questions.
Answer:
Solving a word problem is similar to specific tasks we do in various areas of our lives, such as school, home, or job, in that it requires critical thinking, attention to detail, and logical reasoning. In school, we solve math problems to understand different concepts, and in our job, we solve various problems related to our work to improve efficiency and productivity. Similarly, in our personal lives, we encounter problems and challenges that require problem-solving skills.
Addition problems are crucial in almost every job. For example, in accounting, addition is necessary when calculating profit and loss or taxes. In the retail sector, addition is necessary when calculating inventory or the total amount of sales. Even in fields such as medicine, addition is necessary when calculating dosages and other related calculations.
Knowing how to problem solve in this way can be incredibly helpful in the real world. Being able to identify the problem, analyze it, and find a suitable solution can make us more effective and efficient in our personal and professional lives. The ability to solve problems can also help us develop critical thinking skills, which can be useful in various situations.
In conclusion, solving word problems is an essential skill that can be applied to various areas of our lives. Being proficient in addition problems is essential for success in most jobs. Developing problem-solving skills can make us more effective and efficient in our personal and professional lives, and critical thinking skills can help us analyze problems and identify the best solutions.
As x
approaches
As x approaches
As x approaches
-co, y approaches -co. As x approaches ∞o, y approaches co
co, y approaches 0. As x approaches -00, y approaches ∞
0, y approaches -co. As x approaches co, y approaches co
No: As x approaches -∞, y approaches -∞. As x approaches ∞, y approaches ∞.
YES: As x approaches ∞, y approaches 0. As x approaches -∞, y approaches ∞.
No: As x approaches 0, y approaches -∞. As x approaches ∞, y approaches ∞.
Explain about the domain and range of function?The range of values that we are permitted to enter into our function is known as that of the domain of function. The x values for a formula like make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.A function's domain and range are its constituent parts. The range of a function has been the set of all potential outputs, whereas the domain of a function has been the collection of each of the inputs.Thus, correct options are-
No: As x approaches -∞, y approaches -∞. As x approaches ∞, y approaches ∞.
YES: As x approaches ∞, y approaches 0. As x approaches -∞, y approaches ∞.
No: As x approaches 0, y approaches -∞. As x approaches ∞, y approaches ∞.
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14. Kellen is taking a 17-question test that is worth 100 points. There are two types of questions,
multiple-choice questions and free response questions. If the multiple choice questions are worth
5 points each and the free response questions are worth 10 points each, write a system of equations
that can be used to determine the number of multiple choice questions, m, and the number of free
response questions, f? Find the total number of free response and multiple-choice questions.
Answer:
ehhhhhhhhhhh
Step-by-step explanation:
Translation: 4 left and 2 down
Answer:
Step-by-step explanation:
I first move the dot left by 4 by counting them. Then move it down by 2.
Answer: So What you want to do is Move left 4 and down 2, then do it again
Step-by-step explanation:
A projectile is thrown into the air. The equation y=-3x² - 12x + 96 represents the path of the projectile, where x represents the amount of time in seconds. How long is the projectile in the air, in seconds?
As this is when it hits the ground, the projectile is in the air for 6 seconds.
Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.
What is a projectile?Objects that are thrown, shot, or launched with a certain initial velocity and then move against the forces of gravity and air resistance are known as projectiles. Projectiles can be anything from arrows and bullets to rocks and water balloons. Typically, a bow, slingshot, gun, or cannon is used to fire them. When projectiles are launched, gravity, air resistance, and other forces influence their trajectories.
from the question:
We must discover the moment the missile strikes the ground in order to calculate how long it was in the air. The height of the missile above the earth would be zero at that point.
Thus we must resolve the following equation:
y = -3x² - 12x + 96 = 0
We can use the quadratic formula to solve this equation in the quadratic form:
x = (-b ± √(b² - 4ac)) / 2a
where a = -3, b = -12, and c = 96.
Plugging in these values, we get:
x = (-(-12) ± √((-12)² - 4(-3)(96))) / 2(-3)
x = (12 ± √(144 + 1152)) / (-6)
x = (12 ± √1296) / (-6)
x = (12 ± 36) / (-6)
So, the solutions are:
x = -2 or x = 6
Physically speaking, the missile would have been at ground level two seconds prior to launch if x were negative. Thus, we disregard the unfavorable option.
As a result, the missile is in the air for 6 seconds before it strikes the earth.
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Suppose that prices increase 2.5% each year for 10 years. How much will a jacket that costs $100 today cost in 10 years? Hint: Think of the cost as the balance in a savings account with an APY of 2.5% and an initial investment of $100. (Enter your answer to the nearest dollar and do not include a dollar sign or decimal points in your answer.)
Answer:
Step-by-step explanation:
If the price of the jacket increases 2.5% each year for 10 years, we can think of the price increase as the interest earned on an initial investment of $100 with an annual percentage yield (APY) of 2.5%. We can use the formula for compound interest to calculate the future value of the investment after 10 years:
FV = PV x (1 + r)^n
where FV is the future value, PV is the present value (initial investment), r is the annual interest rate (as a decimal), and n is the number of compounding periods (years).
In this case, PV = $100, r = 0.025 (2.5% expressed as a decimal), and n = 10. Plugging these values into the formula, we get:
FV = $100 x (1 + 0.025)^10
FV ≈ $128
Therefore, the jacket that costs $100 today will cost approximately $128 in 10 years if the price increases 2.5% each year.
Juliana expects to work overtime this week. She will work 40 hours at her regular pay rate. The she will work another 15 hours at
$5 per hour more than her regular pay rate.
a. Write a function for Juliana so she can calculate how much money she will make based on her regular pay rate.
b. Juliana will make
$735 this week (including her overtime pay). What is her regular pay rate?
The function to calculate her regular pay rate is y = 55x + 75.
Her regular pay rate is 12 dollars.
How to represent a function?Juliana expects to work overtime this week. She will work 40 hours at her regular pay rate.
She usually work 15 hours at 5 dollars per hour more than her regular rate.
Therefore, the function to calculate how much money she will make base on her regular pay rate is as follows:
let her regular pay rate = x
Therefore,
y = 40x + 15(x + 5)
y = 55x + 75
Let's find her regular pay rate when she earns 735 dollars(including the overtime)
Therefore,
735 = 40x + 15(x + 5)
735 = 40x + 15x + 75
735 - 75 = 55x
660 = 55x
x = 660 / 55
x = 12
Therefore, her regular pay rate is 12 dollars.
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When rounding to the nearest 10, which of the numbers below will round to 90? Select all that apply.
Therefore , the solution of the given problem of rational numbers comes out to be 92 and 95 are the numbers that, when rounded to the closest 10, will equal 90.
What exactly is rational numbers?Any number that can be expressed as a ratio (not a portion) of two integers is considered rational. A reasonable fraction is one that has a nonzero denominator. 1/2, 1/5, but also 3/4 are a few examples of rational integers. "0" may additionally be expressed in a variety of forms as an actual function, like 0/1, 0/2, and 0/3. However, 1/0, 2/0, 3/0, etc. It makes logical that there are seven. When two parameters are divided, a rational number results.
Here,
We glance at the digit in the ones spot to round a number up to the nearest 10. In that case, we round down to the prior multiple of 10 if the digit is 0, 1, 2, 3, or 4. We round up to the following multiple of 10 if that number is 5, 6, 7, 8, or 9.
Finding numbers with a ones place digit between 5 and 9 will enable us to round to the closest 10 and arrive at 90. The figures that would round to 90 are as follows:
=>92
=> 95
As a result, 92 and 95 are the numbers that, when rounded to the closest 10, will equal 90.
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4.A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was of the whole pizza.
Which equation represents a way to find the total number of slices that were in the whole pizza?
A. 3.x=4
B. 4.x=
C. 3+x=4
D. x= 4.3
Based on the information, we can infer that the expression that tells us how many slices the entire pizza had is x = 4 * 3 (option D).
How to find the correct expression?To find the correct expression we must take into account the information that the statement gives us:
Ben ate 4 slices.Ben ate 1/3 of the pizza.Based on the above, if Ben ate 1/3 of the pizza, we must multiply 4 * 3 to find the total number of slices on the pizza.
x = 4 * 3x = 12So the pizza had 12 slices. To check this result we can divide it by 3 to find out if 1/3 of 12 is equal to 4.
12 / 3 = 4Note: This question is incomplete. Here is the complete information:
4. A pizza was cut into equal slices. Ben ate 4 of the slices. The amount Ben ate was 1/3 of the whole pizza. Which equation represents a way to find the total number of slices that were in the whole pizza?
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Pls help me find the surface are and volume
Let me solve it down for you :)
Surface area:The shape is a cuboid, so its dimensions will be:
Length (L) = 12mBreadth (B) = 5m Height (H) = 10m[tex] \sf \: Surface \: area \: of \: cuboid = 2(lb + bh + hl)[/tex]
[tex] \sf \: S.A. = 2(12 \times 5 + 5 \times 10 + 12 \times 10)[/tex]
[tex] \sf \: S.A. = 2(60+ 50 + 120)[/tex]
[tex] \sf \: S.A. = 2(230)[/tex]
[tex] \sf \: S.A. = 460 \: {m}^{2} [/tex]
Volume:Dimensions of the cuboid:
Length (L) = 12mBreadth (B) = 5m Height (H) = 10m[tex] \sf \: Volume = l \times b \times h[/tex]
[tex] \sf \: Volume = 12\times 5 \times 10[/tex]
[tex] \sf \: Volume = 600 \: {m}^{3} [/tex]
Convert m to cm, according to the question:
600 Cubic meter =
600,000,000 Cubic Centimeters
measure the diameter of the tin which is 750 gram
The approximate diameter of the tin would be 12.9 centimeters.
What is diameter?Diameter is a straight line passing through the center of a circle, or any other curved shape, and connecting two points on the circumference. It is the longest line that can be drawn within a circle and its length is twice the radius. It is also used in measuring the size of objects and distances in the universe. The term is also used in geometry to refer to the size or width of a triangle, square, or other shapes.
To measure the diameter of a tin which is 750 gram, one needs to use a ruler or measuring tape. First, one needs to weigh the tin using a scale or balance. Once the weight is known, it can be used to calculate the approximate diameter of the tin.
To find the diameter, one needs to use the formula: Diameter = 2 x (cube root of volume). The volume of the tin can be calculated by multiplying the weight of the tin (in grams) by 0.52.
Therefore, for a tin weighing 750 grams, the approximate volume would be 390 cubic centimeters. To find the diameter, one needs to take the cube root of 390, which is 6.47.
Therefore, the approximate diameter of the tin would be 12.9 centimeters.
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Please help! 14 points, one right answer.
Answer:
C. [tex]\frac{n+4}{2}[/tex]
Step-by-step explanation:
"the sum of a number (n) and 4" --> n + 4
"divided by 2" --> this means the whole expression will be divided by 2
Therefore, the final answer is the third option!
Hope this helps!! :)
in miami fl, a rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car
The equation that shows the total cost of renting the car from the company is y = 0.45x + 20
How to solve an equation?An equation is an expression containing numbers and variables linked together by mathematical operations such as addition, subtraction, division, multiplication and exponents.
Let y represent the total cost of renting a car from a company and travelling x miles.
The rental car company charges $0.45 per mile and a flat fee of $20.00 for renting the car, hence:
y = 0.45x + 20
The equation is y = 0.45x + 20
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Solve the following 2x+18=42
Answer:
the solution to the equation 2x + 18 = 42 is x = 12.
Step-by-step explanation:
To solve for x in the equation 2x + 18 = 42, you can follow these steps:
Subtract 18 from both sides of the equation:
2x + 18 - 18 = 42 - 18
2x = 24
Divide both sides of the equation by 2:
2x/2 = 24/2
x = 12
Therefore, the solution to the equation 2x + 18 = 42 is x = 12.
Answer:
[tex] \sf \: x = 12[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ 2x + 18 = 42
Then the value of x will be,
→ 2x + 18 = 42
→ 2x = 42 - 18
→ 2x = 24
→ x = 24 ÷ 2
→ [ x = 12 ]
Hence, the value of x is 12.
What is the sum of 9 16 9 16 and 5 16 5 16 ? A. 14 32 14 32 B. 10 16 10 16 C. 12 16 12 16 D. 14 16
Answer:
A
Step-by-step explanation:
Arrange the 4 set of numbers above each other and add the corresponding numbers.
9 and 5, 16 and 16, 9 and 5, 16 and 16
Answer:
the sum of 9 16 9 15 and 5 16 5 16 is 14 32 14 32 which is (A)
Step-by-step explanation:
9 16 9 16+
5 16 5 16
14 32 14 32
need help with problem 6 need test stastic and p value
In response to the query, we can state that The p-value, rounded to four probability decimal places, is 0.0056.
What is probability?Mathematicians use probability theory to determine the chance that an event will occur or a statement is true. A probability of about 0 reflects how probable an event appears to occur, whereas a risk is a value between 0 and 1, where 1 suggests certainty. Probability is a mathematical representation of the likelihood that a specific event will take place. Other ways to express probabilities are as integers between 0 and 1 or as percentages between 0% and 100%. the ratio of events among equally likely options that lead to a certain event to all other outcomes.
The sample proportions for the first and second populations are respectively p1 = 0.25 and p2 = 0.223. The samples had n1 = 587 and n2 = 251 respectively.
For this sample, the test statistic is provided by:
z is equal to (p1 - p2) / sqrt(p hat * (1 - p hat) * (1/n1 + 1/n2)).
where p hat is the pooled sample proportion and n1 + n2 is the sample size.
When we change the values, we obtain:
z = (0.25 - 0.223) / sqrt(0.236 * (1 - 0.236) * (1/587 + 1/251)) = 2.541
The test statistic, rounded to three decimal places, is 2.541.
, we hunt for the region in the standard normal distribution's right tail that corresponds to a z-score of 2.541. We calculate this area to be 0.0056 using a calculator or a table.
The p-value, rounded to four decimal places, is 0.0056.
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Solve by Completing the Square
Matalea created a rectangle where the length was eight more than the width. She then determined that the area of a rectangle could be found by using the function A(x)= x2+8x where x is the width of the rectangle. If the area of the rectangle is 33 in^2, what is the width of the rectangle?
The width of the rectangle is calculated as: 11 inches
How to use completing the square?The formula for area of a rectangle is:
A = l*w.
Since the area is 33 in², then;
33 = x(x + 8) would be the equation to solve for x.
Now, you need to put the equation in standard form.
x² + 8x - 33 = 0.
To complete the square you need to add 33 to both sides.
Now you have x² + 8x = 33
Take the coefficient for the x term (8) and divide by 2. Now square it. That would be 4², so 16.
Now you have x² + 8x + 16 = 49
(x + 4)² = 49
Take the square root of both sides and you have;
x + 4 = 7.
Therefore, x = 3 (the short side) and 11 is the long side.
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Are rhombuses also rectangle?? Explain
Answer:
No, rhombuses are not necessarily rectangles. While both shapes are quadrilaterals with opposite sides parallel, there is an additional requirement for a rectangle that is not present in a rhombus. Specifically, a rectangle must have all interior angles measuring 90 degrees, while a rhombus can have any angle between 0 and 180 degrees.
On the other hand, all rectangles are parallelograms, while not all parallelograms are rectangles. Similarly, all squares are both rhombuses and rectangles, but not all rhombuses or rectangles are squares. In summary, a rhombus is a quadrilateral with four equal sides, while a rectangle is a quadrilateral with four right angles. While there is some overlap between the definitions, they are not equivalent.
Answer:
Rhombuses are not rectangles
Step-by-step explanation:
This is because rhombuses do not have 4 right angles.
A square would be a rectangle because its a quadrilateral with 4 right angles
while a rectangle wouldn't be a square because it doesn't have 4 equal sides
A rhombus is a quadrilateral that has 4 equal sides but doesn't have 4 right angles, making it not a rectangle
What’s 4/9 /8? I’m having trouble with this problem because I wasn’t paying attention in class lol
Answer:
To divide by a fraction, we can multiply by its reciprocal.
So,
4/9 /8 = 4/9 x 1/8 = 4/72 = 1/18
if 20% of 200 people know how to ski, how many people know how to ski
Answer:
200 x 20% = 200 x 20/100 = 40.
Answer is 40.
What would the hypotenuse have to be if the legs of a right triangle are 9 and 5?
Answer:
10.3
Step-by-step explanation:
Let's say
a leg = 9
b leg = 5
The formula to find the hypotenuse is [tex]\sqrt{a^{2}+b^{2} } = \sqrt{9^{2} +5^{2} } = \sqrt{81+25} = \sqrt{106} = 10.246\\[/tex]
Round [tex]10.246[/tex] to get [tex]10.3[/tex]