Answer:
The answers are B, C, and D.
Step-by-step explanation:
When you rotate an image 180° about the origin, you are flipping it twice. An easy rule is that an (x, y) pair becomes (-x, -y). Now just reverse the sign of the coordinates. Our rotated shape has the coordinates (-5, -6), (-5, -4), and (-8, -4).
Answer: C. (−5, −6) D. (−8, −4)
Step-by-step explanation:
We know that the rule for rotation a shape by [tex]180^{\circ}[/tex] (counterclockwise or clockwise) is given by :-
[tex](x,y)\to(-x,-y)[/tex] [Polarity of coordinates gets changed]
Given : Troy drew a triangle with coordinates ( 5 , 6 ) , ( 5 , 4 ) , and ( 8 , 4 ) . He rotated the triangle 180° about the origin.
Then, the coordinates of the image will be :-
[tex]( 5 , 6 )\to(-5,-6)[/tex]
[tex]( 5 , 4 )\to(-5,-4)[/tex]
[tex]( 8 , 4 )\to(-8,-4)[/tex]
From the options, the coordinates of the image = (-5,-6) and (-8, -4)
Hence, option C and D are correct.
The area of a certain desert (Desert 1) is four times the area of another desert (Desert 2). If the sum of their areas is 25,000
desert.
What is the area of Desert 1?
What is the area of Desert 2?
area of a triangle with a 19 inch base and 14 inch height
Step-by-step explanation:
base = 19 inch
height = 14 inch
[tex]area \: of \: triangle \: = \frac{1}{2} \: ( base)(height) \\ \\ area \: of \: triangle \: = \frac{1}{2} (19)(14)[/tex]
area of triangle = 133 inch² !!
URGENT!!!
If (1,2) is a point in the graph of f(x), which ordered pair must also be on the graph of y=f(x−2)−3?
Write your answer as an ordered pair, like (a,b).
Final answer:
The ordered pair that must also be on the graph of y=f(x−2)−3 is (3, -1), which is the result of shifting the original point (1,2) to account for the horizontal and vertical transformations.
Explanation:
To determine the corresponding point on the graph of y=f(x−2)−3, we begin with the given point (1,2) on the graph of f(x). This point means that f(1)=2. The function y=f(x−2)−3 shifts the graph of f(x) two units to the right and three units down. Therefore, to find the x-value for the new function that will give us the y-value of 2, we add 2 to the original x-value of 1, giving us 3. Then to find the new y-value, we subtract 3 from the original y-value of 2, giving us -1. So the new point is (3, -1).
The ordered pair that must also be on the graph of y = f(x−2)−3, given that (1,2) is a point on the graph of f(x), is (-1, -1).
Explanation:When you have the transformation y = f(x−2)−3, it implies two transformations are applied to the original function f(x): a shift to the right by 2 units and a downward shift by 3 units. To find the corresponding point on the transformed graph, we need to reverse these transformations.
The original point (1,2) on the graph of f(x) represents f(1) = 2. Applying the transformation x−2 shifts the x-coordinate by 2 units to the right, resulting in f(1−2) = f(-1). This gives us the x-coordinate for the transformed point on y = f(x−2)−3.
To account for the downward shift by 3 units, we subtract 3 from the y-coordinate of the original point. Hence, f(1) = 2 becomes f(1)−3 = 2−3 = -1. This provides the y-coordinate for the transformed point on y = f(x−2)−3.
Therefore, combining the x and y coordinates, the point (-1, -1) corresponds to (1,2) on the graph of f(x), satisfying the transformations of x−2 and -3 on y, hence making it a point on the graph of y = f(x−2)−3.
10% of what number is 81
The answer is 810
10% of a number is 81.
All you need to do is multiply 81 by 10 (810) to see that 10% of 810 is 81.
Best of luck
Answer:
810
Step-by-step explanation:
Multiply 81 by 100 (8,100).
The decimal for 10% is 0.10.
Then multiply 8,100 by 0.10.
Help
solve for x and y
92 degrees
8y degrees
(6x-16) degrees
Answer:
X is 18, and Y is 10.5
Step-by-step explanation:
The 92 degree measure is an example of a vertical angle relationship with the (6x-16) which means that that expression would have to equal 92. Solve for X by adding 16 and then dividing by 6. The 92 and 8y together nake a straight line which is equal to 180 degrees. (180-92) divided by 8 to get y
an=7+(n-1)2 is the general rule for the nth term of the arithmetic sequence 7,9,11,13,15 ... true or false ?
Answer:
True
Step-by-step explanation:
The n th term rule for an arithmetic sequence is
[tex]a_{n}[/tex] = a + (n - 1)d
where a is the first term and d the common difference
here d = 9 - 7 = 2 and a = 7, thus
[tex]a_{n}[/tex] = 7 + 2(n - 1)
which statement is true about the diagram
Answer:
K is the midpoint of AB
Step-by-step explanation:
The line AB is 10 units long. KB is 5 units long. that makes AK 5 units long.
Add them together, you get 10 units long for AB.
Answer:
K is the midpoint of AB
Step-by-step explanation:
I would because the B is much closer to the T which mess with every other answer making it unpropartional.
sum of 2/3 + (-1/3) i cant find the answer
Answer:
1/3
Step-by-step explanation:
2/3 plus -1/3 is the same as subtracting 1/3 from 2/3.
Answer:
1/3
Step-by-step explanation:
2/3 + (-1/3) is the same as 2/3-1/3 which is 1/3
there are 3 squares in each row how many squares are in 5 rows
Answer: 15
Step-by-step explanation:
3x5 is 15
To find the total number of squares in 5 rows, multiply the number of squares in each row, which is 3, by the number of rows, which is 5.
To find the total number of squares in 5 rows, we need to multiply the number of squares in each row by the number of rows. Since there are 3 squares in each row, we can multiply 3 by 5 to get the answer.
Step 1: Multiply the number of squares in each row, which is 3, by the number of rows, which is 5: 3 x 5 = 15.
Step 2: Therefore, there are 15 squares in 5 rows.
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What is 3,920,000,000,000 in scientific notation? 3.92×1010 3.92×1012 3.92×10−10 3.92×10−12
Writing in scientific notation is writing in power form.
Writing in power form is usually in the form:
X.y × 10ⁿ
We now write 3 920 000 000 000 in this form.
3.92 × 10¹²
Answer :
3.92 × 10¹²
This is the scientific notation.
Hope I helped :)
3,920,000,000,000 in scientific notation is 3.92×10^12.
Explanation:To express a large number in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit to the left of the decimal point. In this case, we start with the number 3.92 and move the decimal point to the right 10 places.
Therefore, 3,920,000,000,000 in scientific notation is written as 3.92×1012.
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a cube has a volume of 125 in3. find the side length of this cube in inches.
Answer:
5 inches
Step-by-step explanation:
The formula for a cube's volume is its side length cubed. So to get the side length when given the volume, you can take the cube root of the volume. [tex]\sqrt[3]{125} = 5[/tex] inches.
Jamar is playing a video game. The object of the game is to roll a marble into a target. In the figure, the
shaded rectangular area represents the video screen and the black rectangle is a barrier. Because of the
barrier, it is not possible to roll the marble M directly into the target T. At what point should Jamar aim
the marble so that it will bounce off a wall and roll into the target?
Answer:
Jamar should hit the wall opposite to the side of the barrier(if there is a space), which will cause the ball to bounce off the wall at an angle and into Target.
Aiming for the coordinate (0, 2.5) along the plane AB would ensure that the ball hits the plane AB and travels diagonally to the point T which is the target.
To ensure that the marble escapes the barrier, the ball should be aimed at a point along the AB plane. This point should be about the midpoint of the width of the side of the barrier. Once the marble travels diagonally to hit the plane AB, it travels diagonally upward, hence escaping the barrier and hitting the target T. The coordinate point to be aimed at on the plane AB which is also equal to the midpoint of the barrier's width is : (0, 2.5)Learn more :https://brainly.com/question/15748955
How can I use fractions circles to find the sum of a mixed number?
Answer:
Use fraction circles to add: 1% + 1% | Use fraction circles to model 1% and 1%. Whole and 1 Whole and 1 Whole and 1 eighth equals 3 wholes and 1 eighth. - Add the fractions and add the whole numbers separately. or: 0 Write each mixed number as an improper fraction, then add.
Step-by-step explanation:
How many driveways can you and your friend shovel if you work together for 5 hours each day for 2 days
Answer:
13 driveways with a quarter of an hour to spare
Step-by-step explanation:
To calculate the number of driveways you and your friend can shovel, we need the rate at which you can shovel one driveway. Multiplying this rate by the total hours worked will give the number of driveways shoveled.
To determine how many driveways you and your friend can shovel in the given time, we need more specific data about how long it takes for you to shovel one driveway. However, I will provide a general formula based on an assumption:
Let's assume you can shovel X driveways in 1 hour. Therefore, in 5 hours (a day), you can shovel 5X driveways. Over 2 days, this would be 10X driveways. Hence, if you work together for 5 hours each day for 2 days, together you can shovel 10X driveways, where X is the number of driveways you can shovel per hour.
“Fine the slope of each line usin two methods
Check the picture below.
Multiplying polynomiala by binomials
(a + b)(a + b) =
Answer:
= (a^2 + ab + ab + b^2)
Step-by-step explanation:
Distribute the first a to the second a and b
Distribute the first b to the second a and b
What is 299,864 times 5?
Answer:
1,498,420
Step-by-step explanation:
The total area of Ohio is 4.5 * 10^4 square miles.The total area of Ohio is about how many times the total area of Rhode Island?
Answer:
The total area of Ohio is about 30 times the total area of Rhode Island
Step-by-step explanation:
Let
x -----> the total area of Ohio in square miles
y -----> the total area of Rhode Island in square miles
we know that
[tex]x=4.5*10^{4}\ mi^{2}[/tex]
[tex]y=1.5*10^{3}\ mi^{2}[/tex] (searched in Google)
To find out approximately how many times the total area of Ohio is compared to the area of Rhode Island, divide the area of Ohio by the area of Rhode Island
[tex]\frac{x}{y}[/tex]
substitute the values
[tex]\frac{4.5*10^{4}}{1.5*10^{3}}=(\frac{4.5}{1.5})( 10^{4-3}) =3*10^{1}=30[/tex]
therefore
The total area of Ohio is about 30 times the total area of Rhode Island
Ohio is approximately 37.5 times larger than Rhode Island.
To find out how many times larger Ohio is compared to Rhode Island, we need to know the area of both states and then divide the area of Ohio by the area of Rhode Island.
The total area of Ohio is given as[tex]\( 4.5 \times 10^4 \)[/tex]square miles.
The area of Rhode Island is approximately[tex]\( 1.2 \times 10^3 \)[/tex] square miles.
Now, we divide the area of Ohio by the area of Rhode Island to find the factor by which Ohio is larger:
[tex]\[ \frac{\text{Area of Ohio}}{\text{Area of Rhode Island}} = \frac{4.5 \times 10^4}{1.2 \times 10^3} \][/tex]
[tex]\[ = \frac{4.5}{1.2} \times \frac{10^4}{10^3} \][/tex]
[tex]\[ = 3.75 \times 10 \][/tex]
[tex]\[ = 37.5 \][/tex]
Which of the following numbers is NOT in
scientific notation?
A 4.5 X 10-12
B 3.025 X 10-9
C 0.21 X 107
D 1.1 X 1010
Answer: c
Step-by-step explanation: because the first number has to be greater then 1 less then 10
Option C (0.21 X 10^7) is not in scientific notation.
Explanation:The number that is NOT in scientific notation is 0.21 X 10^7 (option C).
A: 4.5 X 10^-12 - This is in scientific notation, represented as a decimal number multiplied by 10 raised to a negative power.B: 3.025 X 10^-9 - This is also in scientific notation, represented as a decimal number multiplied by 10 raised to a negative power.C: 0.21 X 10^7 - This is the only option that is not in scientific notation. Scientific notation requires the coefficient (0.21) to be greater than or equal to 1 and less than 10, so it should be written as 2.1 X 10^6 instead.D: 1.1 X 10^10 - This is in scientific notation, represented as a decimal number multiplied by 10 raised to a positive power.Learn more about Scientific Notation here:https://brainly.com/question/2005529
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A used automobile dealership recently reduced the price of a used car by 8%. If the price of the car before discount was $18,300, find the discount and the new price.
The discount price is $__?
Answer:
Discount = $1,464 New Price =$16,836
Step-by-step explanation:
The initial price is given as $18,300.
The price is reduced by a discount of 8%.
Discount = 8% of 18300
= 8/100 =0.08 x 18300 =$1,464.
New price = $18,300 -$1,464
= $ 16,836
This can also be worked out as follows:
After the discount of 8%, the new price is 92% of the initial price.
92% = .92 x $18300 = $16,836
Answer:
Discount = $1,464 New Price =$16,836
what is the mean of 8,7,5,7,4,7,6,7,8,8,8,6
Answer:
6,75
Step-by-step explanation:
It's necessary the addition of all numbers, divided between the number of the numbers. It means: 8 +7 +5 +7 +4 +7 +6 +7 +8 +8 +8 +6 = 81, then we'll divide 81 between 12 (because there are 12 numbers), and the result is 6,75
Mean = ∑numbers/n numbers
The vertex angle of an isoceles triangle measures (a+15) ° and one of the base angles measures 7a °. Find a and each angle measure.
Keep in mind that:
the sum of the interior angles of every triangle in existence is 180 degreesthe base angles of isosceles triangles are congruentWith this information, I have created a diagram. I encourage you to always draw a diagram when you can - it aids in the solving process.
Now, to find a, set the measures of the interior angles equal to 180.
(a + 15) + 7a + 7a = 180
Solve for a.
a + 15 + 7a + 7a = 180
15 + 15a = 180
15a = 165
a = 11
Find the angle measures by plugging 11 for a.
a + 15
(11) + 15
26
7a
7(11)
77
Check your work by adding the angles measures.
77 + 77 + 26 = 180
Answer:a = 11
Each base angle measures 77 degrees and the vertex angle measures 26 degrees.
Final answer:
To find the unknown angles in the isosceles triangle, we set up an equation using the fact that the sum of angles in a triangle is 180°, which gives a value of 11° for 'a.' Consequently, the vertex angle is 26°, and each base angle is 77°.
Explanation:
The question involves finding the unknown angle measures in an isosceles triangle when given the vertex angle and one of the base angles as algebraic expressions. Since we are dealing with an isosceles triangle, two base angles are equal, and the sum of all angles in a triangle is 180°. The vertex angle is given as (a+15)° and one of the base angles as 7a°. According to the properties of an isosceles triangle, the other base angle is also 7a°. Therefore, we can set up the equation:
(a+15)° + 7a° + 7a° = 180°
Combining like terms, we get:
15° + 15a° = 180°
Subtracting 15° from both sides:
15a° = 165°
Dividing by 15:
a = 11°
Now we can find each angle:
Vertex angle = a + 15° = 11° + 15° = 26°
Each base angle = 7a° = 7(11°) = 77°
The measures of the angles are therefore 26° (vertex angle) and 77° (each base angle).
A ________ is a letter that takes place of a number
Answer:
Variable
Step-by-step explanation:
A variable is a letter that takes the place of a number.
Answer:
Variable
Step-by-step explanation:
A variable is a letter that represents a number. It can also be solved for. As in 2x+3=100. You would have to solve for the x.
Maria has a bag with 6 red marbles, 6 blue marbles, and 4 green marbles. Without looking, Maria picks one marble. She does not replace it, and she picks up another one. On the first pick, Maria gets a green marble. What is the probability that she gets a red marble on her second pick? A. 4/15
B. 3/8
C. 2/5
D. 5/8
Answer: Hello there!
initially Maria has 6 red marbles, 6 blue marbles, and 4 green marbles.
You know that in the first pick, Maria gets a green marble ( this means that now there are 3 green marbles left)
Now we want to know the probability that she gets a red marble on the second pick.
Now there are 6 + 6 + 3 = 15 marbles in the bag, and 6 of them are red ones. Then the probability of getting one red is the number of red ones divided by the total amount ( which is the ratio of red marbles to total marbles)
this is 6/15.
now you can see that there is no 6/15 in the options, so we need to see which one is equivalent.
if we took the option C, 2/5, and multiply both denominator and numerator by 3, we get (3*2)/(3*5) = 6/15, then 2/5 and 6/15 are equivalents.
Then the correct answer is C.
The probability that she gets a red marble on her second pick is 2/5.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that she gets a red marble on her second pick = [number of red marbles / (total number of marbles - 1)]
6 / 15 = 2/5
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Rainfall collected in a rain gauge was found to be 2.3 cm when rounded to the nearest tenth of a centimeter.
a. Circle all the measurements below that could be the actual measurement of the rainfall.
2.251 cm
2.349 cm
2.352 cm
2.295 cm
b. Convert the rounded measurement to meters. Write an equation to show your work.
Answer:
A.2.251 cm , 2.349 cm, 2.295 cm
B. 0.023 meters.
Step-by-step explanation:
a. The possible actual measurements are 2.251 cm, 2.349 cm and 2.295 cm.
b. Rounded measurement in meters is 0.023 meters
a. To determine which measurements could be the actual measurement of the rainfall, we need to consider how rounding works.
When rounding to the nearest tenth of a centimeter, any measurement with a hundredth digit of 5 or greater rounds up, and any measurement with a hundredth digit less than 5 rounds down.
Given that the rounded measurement is 2.3 cm, let's evaluate the measurements:
2.251 cm: Rounds down to 2.3 cm
2.349 cm: Rounds up to 2.3 cm
2.352 cm: Rounds up to 2.4 cm
2.295 cm: Rounds down to 2.3 cm
So, the possible actual measurements are 2.251 cm, 2.349 cm and 2.295 cm.
b. To convert the rounded measurement to meters, we need to divide it by 100, since there are 100 centimeters in a meter.
Rounded measurement: 2.3 cm
Conversion to meters: 2.3 cm / 100 = 0.023 meters
Equation: Rounded Measurement (in meters) = Rounded Measurement (in centimeters) / 100
Rounded Measurement (in meters) = 2.3 cm / 100
= 0.023 meters
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Find the prime factors of all the numbers from 21 to 30
Answer:
21: 7*3
22: 11*2
23: prime
24: 2^3 * 3
25: 5^2
26: 13*2
27: 3^3
28: 2^2*7
29: prime
30: 3*2*5
5. A car wash uses 50 gallons of water every
40 seconds. How much water does it use per
second?
Answer:
1.25 gallons per second
Step-by-step explanation:
To figure this out divide 50 by 40
I don't know how to explain this further, hope this is good enough.
- Que
Answer:
It use 1.25 gallons of water per second
Step-by-step explanation:
Amount of water used for car wash in 40 seconds = 50 gallons
Amount of water used for car wash in 1 seconds = [tex]\frac{50}{40}[/tex]
Amount of water used for car wash in 1 seconds = [tex]1.25[/tex]
So, Amount of water used in 1 second is 1.25 gallons
So, Unit rate = 1.25 gallons per second
Hence it use 1.25 gallons of water per second
It’s due today please help
Answer:
7
Step-by-step explanation:
3x14+7=28
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
The probability that the spinner landing on a number that is a multiple of 5 or 2 is 0.6, calculated by dividing the number of favorable outcomes (9) by total outcomes (15).
Explanation:To find the probability that the spinner lands on either a multiple of 5 or a multiple of 2, we first need to identify these numbers.
The multiples of 5 between 1 and 15 are 5, 10, and 15. The multiples of 2 between 1 and 15 are 2, 4, 6, 8, 10, 12, and 14.
Note that 10 is both a multiple of 2 and 5. When we combine these sets, we have 9 unique numbers out of total 15. This gives us a total of 9 favorable outcomes.
The probability is the ratio of favorable outcomes to the total number of outcomes. So, the required probability would be 9/15 or 0.6 when simplified.
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The probability that the spinner lands on a multiple of 5 or a multiple of 2 is 9 out of 15, or 0.6 (60%).
Explanation:The subject of this question is probability, which falls under Mathematics. To determine the probability that a spinner numbered from 1 to 15 would land on a multiple of 5 or a multiple of 2, we need to first identify the amount of numbers that meet these criteria. The multiples of 5 between 1 and 15 are 5, 10, and 15, which totals to 3 numbers. The multiples of 2 between 1 and 15 are 2, 4, 6, 8, 10, 12, and 14, which totals to 7 numbers.
However, the number 10 is a common multiple of both 5 and 2; to avoid counting it twice, we subtract 1 from our total. Therefore, there are 3 + 7 - 1 = 9 favorable outcomes. With 15 equally likely possibilities on the spinner, the probability is then 9/15 or 0.6, meaning there's a 60% chance the spinner lands on a multiple of 5 or a multiple of 2.
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any answers help please! show your work
1. -√8, -2.1, 3/2, 12/6, 4
sorry man I'm tired but here's ya first set of answers