How many litres of paint will be needed if 1 litre of paint covers 8m²?
Looking at the paint quantity diagram and using your answer in QUESTION
1.7.2 A make use of different combinations of the tins of paint, then advise
Prudence of which combination will be the most cost effective. Include VAT in
your calculations.
The number of liters of paint needed will be A divided by 8.
We have,
To calculate the amount of paint needed, we need to consider the coverage rate of the paint, which is given as 1 liter of paint covering 8 square meters.
This means that 1 liter of paint is sufficient to cover an area of 8 square meters.
To determine the total amount of paint needed for a specific area, we divide the total area (in square meters) by the coverage rate (8 square meters per liter).
This calculation gives us the number of liters required to cover the entire area.
For example,
Let's say we have a wall with an area of 32 square meters.
To calculate the amount of paint needed, we divide 32 by 8:
Number of liters needed
= 32 / 8
= 4
So, in this case, we would need 4 liters of paint to cover the entire 32 square meters of the wall.
This approach can be applied to any given area to calculate the required amount of paint based on the given coverage rate.
Thus,
The number of liters of paint needed will be A divided by 8.
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figure b is a scaled copy of figure a. help?
The table shows the results of a survey of 200 randomly selected people on whether they like watermelon,
cantaloupe, or both.
Which is the marginal relative frequency for the people who do not like cantaloupe?
A. 25/91
B. 66/200
C. 91/200
D. 66/91
Answer:
C
Step-by-step explanation:
Marginal relative frequency for the people who do not like cantaloupe is 0.455
or
91/100
Answer:
C is correct
Step-by-step explanation:
The volume of a solid is 500 cm3. What is the radius of a cylinder if the height is 13.
Answer:
3.499 cm
Step-by-step explanation:
volume of a cylinder = pi r^2 h
500 = pi r^2 (13)
sqrt ( 500/(pi * 13) = h =
A local publishing company prints a special magazine each month. It has been determined that x magazines can be sold monthly when the price is p = D(x) = 4.600.0006x. The total cost of producing the magazine is C(x) = 0.0005x²+x+4000. Find the marginal profit function
The marginal profit function represents the rate of change of profit with respect to the number of magazines sold. To find the marginal profit function, we need to calculate the derivative of the profit function.
The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function.
The revenue function R(x) is given by R(x) = p(x) * x, where p(x) is the price function.
Given that p(x) = 4.600.0006x, the revenue function becomes R(x) = 4.600.0006x * x = 4.600.0006x².
The cost function is given by C(x) = 0.0005x² + x + 4000.
Now, we can calculate the profit function:
P(x) = R(x) - C(x) = 4.600.0006x² - (0.0005x² + x + 4000)
= 4.5995006x² - x - 4000.
Finally, we can find the marginal profit function by taking the derivative of the profit function:
P'(x) = (d/dx)(4.5995006x² - x - 4000)
= 9.1990012x - 1.
Therefore, the marginal profit function is given by MP(x) = 9.1990012x - 1.
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In the year 2017, an estimated 4,347,000 people in this country are illiterate.
With new incentives and funding, the country is hoping to cut that nuber by
14% every year. How manny people do you predict will be illiterate in the year
2025?
The number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.
What is percentage decrease?Percentage decrease is the amount deducted or reduced from the initial value in the percentage part.
In the year 2017, an estimated 4,347,000 people in this country are illiterate. With new incentives and funding, The country is hoping to cut that number by 14% every year.
Total year from 2017 to 2025 are 8 years. Thus, use the following formula of compound interest to find percentage decrease:
\(A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\\)
Here, A is the final population, The initial population is P, the rate is r and the time period is t. Put the values,
\(A=4347000\times\left(1-\dfrac{14}{100}\right)^{8}\\A\approx1300700\)
Thus, the number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.
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According to the video above, the geometric object called a(n) ___ has the characteristics that it has one endpoint and extends in away from that endpoint without end.
They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.
According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.
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can i also know the working out for this question?
thanks in advance!
PLS HELP ME
The height of a javelin after it has left the hand of the thrower can be modeled by the function h=3(4t-2)-t + 4), where h is the height of the javelin and t is the time in seconds. How long is the javelin in the air?
Answer:
3.5 secondsStep-by-step explanation:
Given function:
h(t) = 3(4t - 2)(- t + 4)The time the javelin is in the air is the difference of zero's of the function:
3(4t - 2)(- t + 4) = 0(4t - 2)(- t + 4)4t - 2 = 0 ⇒ t = 0.5-t + 4 = 0 ⇒ t = 4Time in the air:
4 - 0.5 = 3.5 secondsIt is better visible on the graph
Evaluate 5 + (-4) + (-7) +2
Answer:
5+(-4)+(-7)+2
5-4-7+2
5-11+2
5+2-11
7-11
-4
what is the velocity of 2,340 kg m/s
find the slope and y-intercept of the straight line having equations x-√3y=3√3
y = -3 is right answer
mark me as brainliest
When does the rock hit the ground? the rock hits the ground between seconds and seconds after it is dropped.
Between 2 seconds and 2.5 seconds, the rock hits the ground after it is dropped.
What are distance and time?
A distance-time graph shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the Y-axis. Time is plotted on the X-axis.As you can see at 2s the height of the rock is 0.4m and at 2.5s it is -10.6m, which tells us that in between these values the height would have been 0m, as the movement of the rock is uniform in direction and hence, the rock will hit the ground between 2s and 2.5s.
The rock hits the ground between 2 seconds and 2.5 seconds after it is dropped.
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PROBLEM SOLVING You are flying in a hot air balloon about 1.2 miles above the ground. Find the measure of the arc that
represents the part of Earth you can see. Round your answer to the nearest tenth. (The radius of Earth is about 4000 miles)
4001.2 mi
Z
W
Y
4000 mi
Not drawn to scale
The arc measures about __
The arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.
How to Solve the Arc Degree?To discover the degree of the arc that represents the portion of Earth you'll be able to see from the hot air balloon, you'll be able utilize the concept of trigonometry.
To begin with, we got to discover the point shaped at the center of the Soil by drawing lines from the center of the Soil to the two endpoints of the circular segment. This point will be the central point of the bend.
The tallness of the hot discuss swell over the ground shapes a right triangle with the span of the Soil as the hypotenuse and the vertical separate from the center of the Soil to the beat of the hot discuss swell as the inverse side. The radius of the Soil is around 4000 miles, and the stature of the swell is 1.2 miles.
Utilizing trigonometry, able to calculate the point θ (in radians) utilizing the equation:
θ = arcsin(opposite / hypotenuse)
θ = arcsin(1.2 / 4000)
θ ≈ 0.000286478 radians
To discover the degree of the circular segment in degrees, we will change over the point from radians to degrees:
Arc measure (in degrees) = θ * (180 / π)
Arc measure ≈ 0.000286478 * (180 / π)
Arc measure ≈ 0.0164 degrees
Adjusted to the closest tenth, the arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.
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the number of computers in private homes in a randomly selected area of queens follows the probability distribution described below. number of computers, x probability, p(x) 1 .40 2 .30 3 .20 4 or more ??? what is the probability that a randomly selected home in queens has 4 or more computers? 0.05 0.10 0.15 0.25 impossible to determine
The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.
The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.
To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.
So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:
P(4 or more) = 1 - P(1 or 2 or 3)
P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9
P(4 or more) = 1 - 0.9 = 0.1
Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.
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1 2 1 2 1 3 3 2 4 4 5 5 Pedigree 4 1. What is the most likely mode of inheritance? 2. What is the probability that II-2 is a carrier? 3. What is the probability that II-4 is a carrier? 4. What is the probability that III-3 is a carrier? 5. If III-3 marries a phenotypically normal male, what is the probability that their child would be affected? 6. If III-1 marries a genotypically and phenotypically normal female, what is the probability that their child would be affected? 7. What would be examples of diseases exhibiting this mode of inheritance?
1. The disease is Autosomal Recessive.
2. The probability that II-2 is a carrier is 2/3.
3. The probability that II-4 is a carrier is 2/3.
4. The probability that III-3 is a carrier is 1/3.
5. The male is phenotypically normal (homozygous recessive).
6. This is because III-1 is phenotypically normal (homozygous recessive) and does not carry the disease allele.
7. The diseases exhibiting this mode of inheritance include sickle cell anemia, cystic fibrosis, and Tay-Sachs disease.
The following is the solution to the given problem which includes the terms "inheritance" and "probability":
1. The most likely mode of inheritance for Pedigree 4 is Autosomal Recessive. In the given Pedigree, only the individuals II-3 and II-5 were affected while the individuals II-2 and II-4 were carriers, which suggests that the disease is Autosomal Recessive.
2. The probability that II-2 is a carrier is 2/3.Since II-2 has two heterozygous parents (II-4 and II-5) who are carriers, the probability that II-2 is a carrier is 2/3.
3. The probability that II-4 is a carrier is 2/3.
Since II-4 has two heterozygous parents (II-6 and II-7) who are carriers, the probability that II-4 is a carrier is 2/3.
4. The probability that III-3 is a carrier is 1/3.Since III-3 has one carrier parent (II-2) and one normal parent (II-1), the probability that III-3 is a carrier is 1/3.
5. The probability that III-3's child will be affected is 1/4.If III-3 marries a phenotypically normal male, the probability that their child would be affected is 1/4. This is because III-3 is a carrier (heterozygous) and the male is phenotypically normal (homozygous recessive).
6. The probability that III-1's child will be affected is 0.If III-1 marries a genotypically and phenotypically normal female, the probability that their child would be affected is 0. This is because III-1 is phenotypically normal (homozygous recessive) and does not carry the disease allele.
7. Examples of diseases exhibiting this mode of inheritance include sickle cell anemia, cystic fibrosis, and Tay-Sachs disease.
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Srekar needs to increase the length, width, and height of the prism below by 2 inches. The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inch.
A prism has a length of 3, height of 1, and width of 2.
Which statements about the new prism are true? Select three correct answers.
The new prism will have a length of 5 because 3 + 2 = 5.
The new prism will have a width of 4 because 2 + 2 = 4.
The new prism will have a height of 2 because 1 times 2 = 2.
The volume will increase by 6 because 2 times 3 = 6 and each of the 3 dimensions is increased by 2.
Srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side.
The volume of the new prism will be 20 times 3 = 60 because there will be 20 cubes in each layer and the height will be 3 so there will be 3 layers of 20 cubes each.
The three correct statements are:-
The new prism will have a length of 5 because 3 + 2 = 5.The new prism will have a width of 4 because 2 + 2 = 4.The new prism will have a height of 2 because of 1 time 2 = 2.What is a rectangular prism?
A rectangular prism is a three-dimensional rectangular object having all surfaces rectangular.
It is given in the question:-
Sarkar needs to increase the length, width, and height of the prism below by 2 inches. The original prism has a length of 3 inches, a width of 2 inches, and a height of 1 inch. A prism has a length of 3, a height of 1, and a width of 2.
The solution will be:-
The new prism will have a length of 5 because 3 + 2 = 5.The new prism will have a width of 4 because 2 + 2 = 4.The new prism will have a height of 2 because of 1 time 2 = 2.
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What can you conclude about the population density from the table provided?
According to the information we can infer that the population density varies across the regions, with the highest population density in Region B.
How to calculate the population density?To calculate population density, we divide the population by the area. Here are the population densities for each region:
Region A: 20178 / 521 ≈ 38.7 people per square kilometer.Region B: 1200 / 451 ≈ 2.7 people per square kilometer.Region C: 13475 / 395 ≈ 34.1 people per square kilometer.Region D: 6980 / 426 ≈ 16.4 people per square kilometer.From the information provided, we can conclude that the population density is highest in Region B, which has approximately 2.7 people per square kilometer. The other regions have lower population densities, ranging from approximately 16.4 to 38.7 people per square kilometer.
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a biotechnology company produces a therapeutic drug whose concentration has a standard deviation of 4 g/l. a new method of producing this drug has been proposed, although some additional cost is involved. management will authorize a change in production technique only if the standard deviation of the concentration in the new process is less than 4 g/l. the researchers chose n 10 and obtained the following data. perform the necessary analysis to determine whether a change in production technique should be implemented. 16.628 g/l 16.630 g/l 16.622 16.631 16.627 16.624 16.623 16.622 16.618 16.626
After answering the provided question, we can conclude that t = 1.833 is standard deviation the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.
What is standard deviation?A statistic that communicates the fluctuation or variance of a number set is the standard deviation. A high standard deviation indicates that the values seem to be more dispersed, whereas a low standard deviation indicates that the values are closer to the established mean. The standard deviation is a measure of how far the data varies from the mean (or ). So when standard deviation is small, the data tends to cluster around the mean; when it is huge, the data is more dispersed. The standard deviation represents the average variability of something like the data set. It displays the average deviation from the mean of each score.
To decide whether the new manufacturing technique should be used, we must first determine whether the standard deviation of the drug concentration in the new process is less than 4 g/l. A hypothesis test can be used with the following null and alternative hypotheses:
H0 (null hypothesis): In the new process, the standard deviation of drug concentration is 4 g/l.
Alternative hypothesis (Ha): In the new process, the standard deviation of drug concentration is less than 4 g/l.
For the standard deviation, we can use a one-tailed t-test with a
\(t = (n - 1) * s^2 / \sigma^2\\s = \sqrt(1/(n-1) * \sum(xi - x\bar)^2) = 0.004 g/l\\t = (n - 1) * s^2 / \sigma^2 = (10 - 1) * 0.004^2 / 4^2 = 0.0007\)
t = 1.833 is the critical value for a one-tailed t-test with 9 degrees of freedom and a significance level of 0.05.
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Here is a system of equations: 6.2 -y= 18 4x + 2y = 26 Select all the steps that would help to eliminate a variable and enable solving. Divide the second equation by 2. then add the result to the first equation. Multiply the first equation by 2. then add the result to the second equation. Multiply the first equation by 4 and the second equation by 6, then subtract the resulting equations. O Multiply the second equation by 6, then subtract the result from the first equation. Multiply the first equation by 2. then subtract the second equation from the result.
to eliminate the variable y
we have steps are,
1) Divide the second equation by 2. then add the result to the first equation
or
2) Multiply the first equation by 2. then add the result to the second equation
or
3) Multiply the first equation by 4 and the second equation by 6, then subtract the resulting equations.
so the answer is the first three options.
Rory joins the game for the second round and wins that round what can you say about where his score would appear on the number line explain
If Rory joins the game for the second round and wins that round, we can conclude that his score for the second round would be higher than his score for the first round.
However, without knowing the specific scores or the scoring system of the game, we cannot determine the exact position of Rory's score on the number line.
The number line represents a continuous range of numbers, and the positioning of a score on the number line depends on various factors such as the range of possible scores, the distribution of scores, and the specific scoring system used in the game. Without additional information about these factors, we cannot accurately determine the exact position of Rory's score on the number line.
However, we can infer that Rory's score for the second round would be greater than his score for the first round, which implies that his score would be located to the right of his first round score on the number line.
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What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
x < –9
x > –9
x < x is less than or equal to negative StartFraction 1 Over 9 EndFraction.
x > –x is greater than or equal to negative StartFraction 1 Over 9 EndFraction.
The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9
How to find the missing stepThe missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.
After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.
However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.
Dividing both sides by -2:
-2x / -2 > 18 / -2
This simplifies to:
x > -9
Therefore, the correct answer is x > -9.
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. use inclusion-exclusion to count the number of positive integers from 1 to 2000 that are multiples of 20 or 25. (how can we describe the numbers that are multiples of both 20 and 25?) chegg
The number of positive integers from 1 to 2000 that are multiples of 20 or 25 is 180.
To count the number of positive integers from 1 to 2000 that are multiples of 20 or 25 using the inclusion-exclusion principle, we need to consider the individual counts of multiples of 20 and multiples of 25 and then subtract the count of multiples of both 20 and 25 to avoid double-counting.
Multiples of 20:
The largest multiple of 20 less than or equal to 2000 is 2000.
The count of multiples of 20 from 1 to 2000 is given by 2000 / 20 = 100.
Multiples of 25:
The largest multiple of 25 less than or equal to 2000 is 2000.
The count of multiples of 25 from 1 to 2000 is given by 2000 / 25 = 80.
Multiples of both 20 and 25 (common multiples):
To determine the count of multiples of both 20 and 25, we need to find the least common multiple (LCM) of 20 and 25, which is 100.
The count of multiples of 100 from 1 to 2000 is given by 2000 / 100 = 20.
Now, using the inclusion-exclusion principle, we can calculate the total count:
Total count = Count of multiples of 20 + Count of multiples of 25 - Count of multiples of both 20 and 25
= 100 + 80 - 20
= 180.
Therefore, the number of positive integers from 1 to 2000 that are multiples of 20 or 25 is 180.
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Decompose each of the numbers 72, 204, 1800, and 42336 as products of their prime factors. (4)
The numbers when decomposed using their prime factors are 72: 2³ × 3², 204: 2² × 3 × 17, 1800: 2³ × 3² × 5² and 42336: 2⁵ × 3 × 11² × 17
How the numbers can be decomposed using their prime factorsTo decompose a number into its prime factors, we need to find the prime numbers that multiply together to give the original number.
The numbers are given as 72, 204, 1800, and 42336
So, we have
Let's decompose each of the given numbers:
72 = 2 × 2 × 2 × 3 × 3
Prime factorization: 2³ × 3²
204 = 2 × 2 × 3 × 17
Prime factorization: 2² × 3 × 17
1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5
Prime factorization: 2³ × 3² × 5²
42336 = 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 17
Prime factorization: 2⁵ × 3 × 11² × 17
Therefore, the prime factorization of each number is:
72: 2³ × 3²
204: 2² × 3 × 17
1800: 2³ × 3² × 5²
42336: 2⁵ × 3 × 11² × 17
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7 times what equals 12
Answer:
12/7Step-by-step explanation:
Let the required number be 'n'.
Then, we need to find what the value of n is.
According to the question,
7 x n = 12Multiply both sides by 1/7.
7 x n x 1/7 = 12 x 1/77/7 x n = 12/7n = 12/7The Frenchtown Roller Rink charges a $5 entrance fee and an hourly rate for roller skating. The total cost for roller skating depends on the number of hours a
person skates. The table below represents the total cost of skating for different numbers of hours.
ROLLER SKATING COST
Number
of Hours
Total Cost
in Dollars
0
5
1
8
2.
11
3
14
4
17
Which equation represents the relationship between the cost, and the number of hours, h?
A
C= 8h
B
C= 5h+3
C c = 2h +7
D = 3h5
Answer:
Step-by-step explanation:
the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...
1 answer
·
20 votes:
To answer this item, we let n be the number of hours that a person spend on th
Using the omission strategy, what value would be placed in the missing observation in x1?
x1x2
76
22
82
91
32
41
88
Options:
84
No value because excluded
83
90
The values in the missing observation are:
X1 X2
76 22
82 25
91 32
101 41
88 28
What is an expression?An expression contains terms with addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x1 x2
76 22
82 __
91 32
__ 41
88 28
The difference between each row are:
76 - 22 = 54
82 - 25 = 57
91 - 32 = 59
101 - 41 = 60
88 - 28 = 60
We see that,
57 - 54 = 3
59 - 57 = 2
60 - 59 = 1
60 - 60 = 0
So,
The difference between the numbers is consecutive as 3, 2, 1, 0.
Thus,
The missing values of X1 and X2 are 101 and 25.
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Suppose that three customers are selected randomly, without replacement, for a survey. what is the probability that at least two selected customers use express shipping?
Answer:
3 upon 2. that's the answer ..
Please, help me with these MATH questions. TRANSFORMATIONS
3. If triangle ABC was reflected over the x-axis, what would be the coordinate of B'?
When you reflect over the x-axis, you will flip the sign for the y-coordinate. If you reflect over the y-axis, you will flip the sign for the x-coordinate.
In this case, you are reflecting point B (4 , 3) over the x-axis, which will flip the x-coordinate sign to B' (-4 , 3)
D) (-4 , 3)
2. Rotate this figure 270 degrees clockwise
Clock-wise mean you are rotating turning right. 180° is half way, and so it will be D), as 180° is the 3rd option, and then a extra 90° will become D).
Answer:
(4, -3)
last option
Step-by-step explanation:
If a point is reflected over the x-axis then (x, y) → (x, -y)
B = (4, 3)
Therefore, B' = (4, -3)
The original arrowhead is pointing south (down).
If the arrowhead is rotated 270° clockwise, then it will point to the east (right). So the solution is the last option.
for every lion there are 7 giraffes
Answer:
.................
Step-by-step explanation:
hmmm
?
Answer:
7 times however many lions they have
Step-by-step explanation: