Nathan is facing West and when he takes a quarter-turn anticlockwise, then he will be facing South.
A quarter-turn anticlockwiseA quarter-turn anticlockwise means turning [tex]90^{\circ}[/tex] toward the left side.
How to find the direction?Suppose a circle where Nathan is facing West.
Now when he takes a quarter-turn anticlockwise means [tex]90^{\circ}[/tex] toward the left side, he would end up facing South.
So, the direction in which he is facing is South.
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If two lemons cost 15 cents, how many can be bought for 60 cents?
Answer:
60 lemons/ 15 cents=4 lemons so
4 lemons can be bought for 60 cents
Rewrite the function by completing the square
f(x) = 2x^2+3x-2
f(x)= ____ (x+___)^2+____
Answer:
Step-by-step explanation:
To complete the square, we need to add and subtract a constant term that will allow us to write the function in the form f(x) = a(x + h)^2 + k. Here's how we can rewrite f(x) = 2x^2 + 3x - 2 using completing the square:
f(x) = 2x^2 + 3x - 2
First, we factor out the coefficient of x^2:
f(x) = 2(x^2 + (3/2)x) - 2
Next, we take half of the coefficint of x and square it, then add and subtract it inside the parentheses:
f(x) = 2(x^2 + (3/2)x + (3/4)^2 - (3/4)^2) - 2
Simplifying the expression inside the parentheses:
f(x) = 2[(x + 3/4)^2 - 9/16] - 2
Expanding the brackets and simplifying:
f(x) = 2(x + 3/4)^2 - 17/8
Therefore, f(x) = 2x^2 + 3x - 2 can be written in the form f(x) = 2(x + 3/4)^2 - 17/8.
Hope that helps
Place the following values in order from least to greatest: 3/4, 0.7, 4/5, 65.5%, 0.72
Answer:
4/5, 3/4, 0.72, 0.70, %65.5
Step-by-step explanation:
65.5/100=0.655
I need help solving this asap
Answer:
the answer will be A
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. True or False
Answer: TRUE
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?
A. It is a function because at any given time the oven was exactly one temperature.
B. It is a function because the oven temperature was the same at different times.
C. It is not a function because at any given time the oven was exactly one
temperature.
D. It is not a function because the oven temperature was the same at different
times.
Answer:
i think its B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A function cannot have an x-value that produces more than y-value.
We can assume that the time is x, and the temperature is y.
At any time, you do not have more than one temperature.
What are angles 3 and 4 called in the diagram below ?
A. vertical angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding Angles
Please help me with this
Alternate interior angles.
Answer:
Alternate Interior Angles
Lisa wears 10 rings in her hand. Each ring weights 250 grams. Find the
weight of all the rings in kilogram.
Answer:
2.5 kilograms
Step-by-step explanation:
10 rings times each weight ring(250)=2500
2500 grams to kilograms is 2.5
Which algebraic expression represents the oference of 54 and a number?
2
Answer:
84
Step-by-step explanation:
Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and down? How would you demonstrate your reasoning is correct?
Answer:
(x + 3)^2 is left 3 because it becames 0 at -3
(x - 3)^2 is right 3 because it becames 0 at 3
x^2 +3 is up 3 because your just adding 3 units up
x^2 - 3 is down 3 because your just subtracting 3 units down
Step-by-step explanation:
Show that (−3) × (−4) = +12 using the distributive property.
-3x-4= +12
X negative 3 and 4 then add +12 to it.
answer please need help and is struggling
Answer:
q < 5
Step-by-step explanation:
Since there is an open circle it means there is no equal sign
The line goes to the left so it is less then q < 5
Answer:
q<5
Step-by-step explanation:
The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.
which of the following is not a possible r-value -0.3 -1.6 0.8 0.3
Answer: -1.6 is not a possible r-value.
Step-by-step explanation:
R-values range from -1 to +1. Out of all these numbers, -1.6 does not belong. Hence, -1.6 is not a r-value.
Beth traveled for 8 hours and arrived at her destination 480 miles away. How far would Beth have traveled if she had continued on her trip for 2 additional hours? Name two different rates that can used in solving this problem.
Answer:
She'd have travelled 120 extra miles, 600 miles in total.
Step-by-step explanation:
480 : 8 = 60 --> 60 miles per hour
60 x 10 = 600 --> 600 miles in 10 hours at that speed
600 - 480 = 120 --> extra miles in the extra two hours at that speed
The parabola y=x^2 is shifted down by 3 units and to the left by 2 units.What is the equation of the new parabola?
Answer:
y=(x+2)²-3
Step-by-step explanation:
when y=x² shifted 3 units down
its eq. is y=x²-3
when it is also shifted 2 units left then its eq. is
y=(x+2)²-3
Vivian worked 19 hours more than Malik last month. If Vivian worked 7 hours for every 2 hours that Malik worked, how many hours did they each work? Note: these are proportion problems
Answer:
Malik 7.6
Vivian 26.6
Step-by-step explanation:
Vivian is working at the rate of 7hrs per 2 hours so basically 3.5hrs per hour Malik worked. In equation, it looks like:
V=3.5m where M is the number of hours Malik worked.
We know Vivian works 19 more hours than Malik and that in equation would be:
m+19 = V
So equate the two
3.5m = m+19
3.5m-m=19
2.55m=19
m=7.6
V=7.6+19 = 26.6
A quadrilateral has 2 angles that measure 75 degrees each, and one angle measures 150 degrees. What is the measurement of the 4th angle?
please answer fast and stay safe
Answer:
60 degrees
Step-by-step explanation:
A quadrilateral is a four-sided polygon, meaning that all four interior angles have to add up to 360 degrees. You already know that the other three angles add up to 300, so the last angle has to be 60 degrees.
Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360
75+75+150+x =360
Combine like terms
300 +x = 360
Subtract 300 from each side
300+x-300= 360-300
x = 60
Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?
Answer:
The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:
b = 2.5 ror
b = 5r/2Step-by-step explanation:
In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:
Proportion = 45/18 = 2.5 or 5/2Having this, you can make the equation taking into account the proportion:
b = 2.5 rThis equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:
b = 2.5 r b = 2.5 (18) b = 45How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.
Answer:
b = 2.5 r
or
b = 5r/2
What is 13/18pie in degrees
Answer:
Convert from radians to degrees using the ratio 180/π. answer is 130°
Step-by-step explanation:
Find f(2) if f(x)=(x+1)^2
a. 9
b. 6
c. 5
Answer:
a. 9
Step-by-step explanation:
If f is at 2, then you subsitute anywhere that an x is with a 2. So in this particular equation we get
f(2) = (2+1)^2
f(2) = (3)^2
f(2) = 9
(3+4x)(3-4x)=
THIS IS SO HARD IM GOING CRAZY !!!!!!!!!!!!
Step-by-step explanation:
Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².
Answer:
9 - 16x²
Step-by-step explanation:
(3+4x)(3-4x)= 3²- (4x)²= 9 - 16x²
plz do them both since ur here now
Answer:
19 is d 26 is c 27 is b
Step-by-step explanation:
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. Which equation represents x, the side length of the greater square? x2 + (x – 2)2 = 10 x2 + 2x2 = 10 x2 + (x – 2)2 = 100 x2 + 2x2 = 100
Answer: It should be x^2 + (x-2)^2 = 100
Step-by-step explanation: the ^ is used to indicate an exponent when superscript is not available.
The solution to the correct equation will be x = 8. x -2 would be 6
8^2 = 64. 6^2 = 36. 64+36 = 100.
The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
Calculation of the equation:Since
A group of students is given a 10 by 10 grid to cut into individual unit squares.
So here the equation be like [tex]x^2 + (x-2)^2 = 100[/tex]
Hence, The equation that represents x, the side length of the greater square should be considered as the [tex]x^2 + (x-2)^2 = 100[/tex]
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Where was her mistake if she made any?
Identify a 1 in this sequence 13,15,17,19
Answer:
13
Step-by-step explanation:
a₁ represents the first term in the sequence. Here the first term is 13, thus
a₁ = 13
Triangle G H F is shown. Angle F G H is a right angle. The length of G H is 28 and the length of hypotenuse F H is 40.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
What is the approximate measure of angle F? Use the law of sines to find the answer.
11.5°
44.4°
68.0°
81.9°
Answer:
44.4
Step-by-step explanation:
right on edge
what is 9y5−4y3−8y7−5y6+3y4 written in standard form?
Answer:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3
Step-by-step explanation:
Please be sure to use " ^ " to indicate exponentiation. Then,
your 9y5−4y3−8y7−5y6+3y4 becomes 9y^5 - 4y^3 - 8y^7 - 5y^6 + 3y^4.
We must now write that in descending order by powers of y:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3
Please HELP!! will mark brainiest
Which correlation coefficient could represent the relationship in the scatterplot? A) 0.34 B) -.098 C) -1.43 D) 0.99
Answer:
B) -0.98
Step-by-step explanation:
Correlation coefficient is usually denoted with numbers ranging from 1 to -1. Automatically, this eliminates option C) as our possible answer, since -1.43 is outside the range.
The trend shown in the scatter plot describes a negative relationship because, as the values in the Y-axis decreases, the values at the X-axis increases. The possible correlation coefficient we are likely to get is one that is negative. This eliminates option A and option and option D is our possible correlation coefficient for the scatter plot given since both values are positive.
Option B) -0.98, best represents the correlation coefficient of the given scatter plot. Since the points on the scatter plot seem closely aligned on a straight line, a negative value if -0.98 is mostly the possible one to get.
Answer:
-0.98
Step-by-step explanation:
I need some help quick on these questions.
Juanita rolls a number cube x times. For which value of x are the experimental probability and the theoretical probability most likely to be equivalent? 1, 6, 600, 1,000
Answer:
1,000
Step-by-step explanation:
The more rolls you make, the closer the experimental and theoretical probabilities get closer together
Answer:
1000
Step-by-step explanation: