Answer: B': (-3, 4)
C': (-3, 0)
D': (-2, 0)
E': (-2, 4)
Step-by-step explanation:
270 degrees counterclockwise=
(360-270) degrees clockwise=90 degrees clockwise
In a 90 degree clockwise rotation about the origin for this rectangle, the x and y coordinates of the rectangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening over the x-axis, where the y-values will be changing signs while the x-values will still have the same signs.
B: (-4, -3) ==> (-3, -4) ==> B': (-3, 4)
C: (0, -3) ==> C': (-3, 0)
D: (0, -2) ==> D': (-2, 0)
E: (-4, -2) ==> (-2, -4) ==> E': (-2, 4)
Given the data below are the number of students in each age group.
Ages Number of students
15-18 9
19-22 8
23-26 2
27-30 5
31-34 7
35-38 3
Based on the frequency distribution above, find the cumulative frequency for the class with lower class limit 31.
Ferrese
2. (errencer feld acceed
rest
As and ove rect
The x-coordinate of 4s recex is 45
The x-ceerdinate of is rectex is
The coordinate os recex 45
he rease othe reser at
The true statements are
Its x-intercepts are (0,0) and (11,0)The x-coordinate of its vertex is 5.5How to find the true statementsTo find the true statements about the graph that represents y = -2x(x - 11), we need to analyze the equation and its properties.
x-intercepts by setting y = 0 and solving for x:
form the equation we have y = -2x(x - 11)
0 = -2x(x - 11)
0 = x(x - 11)
x = 0
x = 11
The x-intercepts are at (0,0) and (11,0).
Now let's find the vertex of the parabola. The vertex is located at the x-coordinate x = -b / 2a,
y = -2x^2 + 22x
given that
a = -2,
b = 22
x coordinate of the vertex is found by
= -22 / (2 * -2)
= 22 / 4
= 5.5
so we can say that the true statement is: The x-coordinate of its vertex is 5.5
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2tablets 3times a day 14 day supply 15 tablets per bottle what is the quantity needed
6 bottles are required for a 14 day supply.
One bottle contains 15 tablets and the dosage is two tablets thrice daily for 14 days, we need to find the quantity of tablets required. Let's calculate it. Quantity needed We know,
Total tablets required=Tablets required
per day x Days
To find the total tablets required, we first need to find the tablets required per day. Tablets required per day Given that,2 tablets are taken thrice daily,
Therefore the tablets required
per day= 2 x 3 = 6 tablets Per day, 6 tablets are required.
Total tablets required Now we can find the total tablets required by multiplying the tablets required per day by the number of days. Hence,
Total tablets required = Tablets required per day x Days= 6 tablets/day x 14 days= 84 tablets14 day supply has to be made with the given 15 tablets per bottle.
Hence, Quantity needed = Total tablets required/ Tablets per bottle= 84/15 = 5.6 or 6 bottles
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Find the midpoint of a line segment with
endpoints A(-5, 5) and B(2, -5). Leave your answer
in fraction form.
Show your own work
Answer:
(-3/2, 0)
Step-by-step explanation:
You want the midpoint of line segment AB with end points A(-5, 5) and B(2, -5).
MidpointThe midpoint of a line segment has coordinates that are the average of the end point coordinates.
M = (A +B)/2
M = ((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2
M = (-3/2, 0)
The midpoint of the line segment is (-3/2, 0).
Suppose two automobiles leave from the same point at the same time. If one travels north at 60 miles per hour and the other travels east at 45 miles per hour, how fast will the distance between them be changing after three hours?
Answer:
225milesStep-by-step explanation:
velocity is the change in displacement with respect to time
Speed Δv = Δd/t
Δd = tΔv
Δv is the change in speed
t is the time taken 3 hours
Substitute the given parameters into the formula;
Using the pythagoras theorem to get the change in velocity
v² = 60²+45²
v² = 3600+2025
v² = 5625
v = √5625
v = 75miles/hour
Substitute the gotten values inti the formula;
Δd = tΔv
Δd = 3*(75)
Δd = 225miles
The distance between them be changing by 225miles after 3 hours
Need help please answer
Answer:
I hope this will help you :)
2) Kari is flying her kite at the park. She has let
out 65 yards of kite string. The kite is 30 yards
directly above her friend, Sharla. How far apart
are Kari and Sharla? Round to the nearest
tenth.
Answer:
approx 58 yard we can determine it by pithagoras theorem
FIND Y
PLEASE HELP ILL GIVE BRAINLIESTTTT :))
Answer:
y = 22
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the angles in the lower triangle and equate to 180°
∠ 1 + 19° + 41° = 180°
∠ 1 + 60° = 180° ( subtract 60° from both sides )
∠ 1 = 120°
∠ 1 and ∠ 2 are vertically opposite angles and are congruent , so
∠ 2 = 120°
Sum the angles in the upper triangle and equate to 180
y + 120 + 38 = 180
y + 158 = 180 ( subtract 158 from both sides )
y = 22
What is the value of w in the equation w + 95 = 116
Step-by-step explanation:
w+95=116w=116-95w=21hope it helps.
stay safe healthy and happy.Answer:
w=21
Step-by-step explanation:
Check the image for the steps.
Is 402 a term of the sequence 8, 13, 18, 23.........?
Answer:
→402 is not a term in the given sequence.
Step-by-step explanation:
Given sequence is 8,13,18,23,...
First term = 8
Common difference = 13-8= 5
⇛18-13=5
⇛23-18=5
Since the common difference is same throughout the sequence
⇛8,13,18,23,... are in the AP.
Let nth term = 402
We know that
nth term of an AP = an = a+(n-1)d
Now,
an = 402
⇛8+(n-1)(5) = 402
⇛8+5n-5 = 402
⇛5n+3 = 402
⇛5n = 402-3
⇛5n = 399
⇛n = 399/5
n can not be rational number it should be a positive integer.
402 is not a term in the given sequence.
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Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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17) Suppose you will perform a test to determine whether there is sufficient evidence to support a
claim of a linear correlation between two variables. Find the critical value(s) of r given that
n = 10 and a = 0.05.
A) r= 10.666
B) r= +0.765
C) r= +0.632
D) r= 0.632
Answer: C. ±0.632.
Step-by-step explanation:
We have given,
Sample size : n= 10
Significance level : \(\alpha=0.05\)
Test to check determine whether there is sufficient evidence to support a
claim of a linear correlation between two variables is a two tailed test.
Degree of freedom(df) = n- 2=8
Now , by the correlation coefficient(r) table ,
The critical r value corresponding to df = 8 and Significance level = 0.025 (0.05/2) is ±0.632.
Hence, the correct option is C. ±0.632.
can someone please help me on my math
Answer:
C is correct.
At a store 2 hats and 4 pairs of gloves together cost $75.60. The total cost of 3 hats and 8 pairs of socks is $83.48. If the price of a hat is 3 times as much as the price of gloves, what is the total cost of 5 hats and 10 pairs of socks? Include 2 decimal places in your answer. For example if the answer is $12 enter it as $12.00.
Answer:$132.70
Just believe it
Answer: 125.7
Step-by-step explanation:
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.
The graph is given in the question.
As per the given line, we take two points (0, 4) and (5, 8)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 4
x₂ = 5, y₂ = 8
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 4 = (8 - 4)/(5-0 )[x -0]
⇒ y - 4 = (4/5)x
⇒ y = (4/5)x + 4
The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.
So, the equation of the line would be y = (4/5)x + 4.
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A recently admitted class of graduate students at a large state university has a mean GRE verbal score of 650 with a standard deviation of 50. The scores are reasonably normally distributed. Five students have parents who happen to be on the board of trustees, and these students were admitted with a mean GRE score of 490. Should the local newspaper editor write a scathing editorial about favoritism?
Answer:
The answer is below
Step-by-step explanation:
The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:
\(z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\)
Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:
\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16\)
From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%
Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism
QUESTION IN PICTURE
Please explain your answer in steps, thank you.
We can complete the blanks with the following ratios:
(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags
Since we do not need a flag at the starting line, then 32 flags will be required in total.
How to obtain the number of flagsTo solve the problem, we would first convert 400 yds to feet and miles.
To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.
To convert to miles, we would have 0.227 miles.
Now, we divide the entire race distance by the number of miles divisions.
This gives us:
7.5 mi /0.227 mi
= 33 flags
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PLEASE HELP WILL MARK BRAINLIST
A company is designing a new cylindrical water bottle. The volume of the bottle will be 167 cm. The height of the water bottle is 7.1 cm. What is the radius of the water bottle? Use 3.14 for pi.
Answer:
23
Step-by-step explanation: i took it
2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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HELP NOW!!!! thx :DDDD
Answer:
the second one
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
3 parts ginger ale to 2 parts raspberry juice
What is the GCF of 12, 30, and 18?
Answer:
6
Step-by-step explanation:
Answer: 6
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
Then the greatest common factor is 6.
9x-6+11x what would the answer be
Answer:
20x-6
Step-by-step explanation:
15 quarters to 3 dollars
Answer:
so, it's 3.75 to 3
Step-by-step explanation:
15 quarters is 3 dollars and 3 quarters
...........................................................
Answer:
UMM...........
Step-by-step explanation:
Which equation represents a line which is parallel to the x-axis?
Answer:
3?
Step-by-step explanation:
Identify the terms as like or unlike.
10r, - 18r (2 squared)
Choose the correct answer.
O The terms are unlike terms.
OThe terms are like terms.
Answer:
Unlike terms
Step-by-step explanation:
The exponents are unequal, so they are not like terms.
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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Solve the following system of equations with the substitution method:
y=3/5x-15
y=-3/4x+12
Answer:
x = 20, y = -3
Step-by-step explanation:
Set both equations equal to each other
\(\displaystyle y=\frac{3}{5}x-15\\\\y=-\frac{3}{4}x+12\\\\\\\\\frac{3}{5}x-15=-\frac{3}{4}x+12\\\\\frac{12}{20}x-15=-\frac{15}{20}x+12\\\\\frac{27}{20}x-15=12\\\\\frac{27}{20}x=27\\\\x=20\\\\y=\frac{3}{5}x-15\\\\y=\frac{3}{5}(20)-15\\\\y=\frac{60}{5}-15\\\\y=12-15\\\\y=-3\)
29-(11-2³)+6²÷4 simplify each Expression
The simplified form of the expression 29 - ( 11 - 2³ ) + 6² ÷ 4 is 35
What is the simplified form of the given expression?Given the expression in the question;
29 - ( 11 - 2³ ) + 6² ÷ 4
To simply, replace 2 raised to the power of 3 with 8 and 6 raised to the power of 2 by 36
29 - ( 11 - 2³ ) + 6² ÷ 4
29 - ( 11 - 8 ) + 36 ÷ 4
Now, remove the parenthesis by performing the operation inside the parenthesis.
29 - ( 11 - 8 ) + 36 ÷ 4
29 - 3 + 36 ÷ 4
Now, divide 36 by 4
29 - 3 + 36 ÷ 4
29 - 3 + 9
Next, add -3 and 9
29 + 6
Add 29 and 6
35
Therefore, 35 is the simplified form of the expression.
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If you have 1/4 of a pie left and you give away 5/8 how much pie do you have left
Answer:
You cannot give away more than you have. You have no pie left.
Step-by-step explanation:
1/4 - 5/8
Multiply 1/4 by 2 to get a common denominator in order to subtract.
2/8 - 5/8
= -3/8
You can't have -3/8 of a pie.
Therefore, you have no pie left.