Answer:
[tex]-\sqrt{3} /2[/tex]
Step-by-step explanation:
300 degrees is in the fourth quadrant (it's between 270 and 360); sine is negative in the fourth quadrant.
Given we're in the fourth quadrant, the reference angle is 360 - 300 = 60 degrees
sin(60°) = [tex]\sqrt{3} /2[/tex]
And since sine is negative, this value turns negative:
sin(300°) = [tex]-\sqrt{3} /2[/tex]
what are the exponent and coefficient of the expression 4b^-3
Answer:
exponent is -3 and coefficient is 4
Order the numbers from least to greatest
Answer:
B
Step-by-step explanation:
It just is
If (x,-3) is a solution to the equation 4x = 5y - 1, what is the value of x?
9514 1404 393
Answer:
x = -4
Step-by-step explanation:
Put the given point in the equation and solve for x.
4x = 5(-3) -1
4x = -16 . . . . . . simplify
x = -4
Use the number to add the fraction: -5/8 + 3/4: *
Use the number ine to add the fraction
2
1
1
1
5
-
-
-
O
2
-9/10
-4/5
-1/8
1/8
2/5
1/2
7/10
Answer:
c
Step-by-step explanation:
thats the anser
how to complete this question?
Answer:
f(x) = [tex]-2^{x+1}-1[/tex]
Step-by-step explanation:
I. If you see (0, -3) point on the green line
II. Perform x = 0, if y = -3 means the statement is true
= [tex]-2^{0+1} - 1[/tex]
= [tex]-2^{1}[/tex] - 1
= -2 - 1
y = -3
Got more question or somethin to discuss? Leave comment below
Help finding the sketch of a graph pls i’ll rate brainliest
Answer:
A
Step-by-step explanation:
X^3+1
Y int = 1
X int = -1
We can clearly see that the x int(when y = 0) for c = -3 so C is incorrect.
b is wrong because it's a quadratic(ax^2+bx+c) and d wrong because it linear(y=mx+c).
Knowing all this we can safely say that A is the correct answer choice.
Answer:
we firstly need to find x intercept and y intercept
of the 420 students enrolled in basic math only 41% are first-year students. How many
are first-year students? How many are not?
Answer:
Step-by-step explanation:
There are 420 students.
41% are first year students.
41% = 41/100
420 * 41/100 = 172.4
What do you do about the 0.4? I would just round to the nearest whole number which is 172.
There are 420 - 172 = 248 who are not first year students.
6927÷19 plz help me
Santo chose c as the correct
Please help!!!! I have no clue how to do this
Answer:
It'll be the same figure- an acute isoceles triange
Step-by-step explanation:
Reflection is just copying the same shape across the x-axis (the main horizontal line on graphs) or the y-axis (the main vertical line on graphs). It's like looking at yourself in the mirror, like a reflection!
Determine the range of the following graph:
y
12
11
10
9
8
7
2
1
-12-11-10-9-8-7-6-5-4-3-2-11
1 2 3 4 5 6 7 8 9 10 11 12
- 2
-3
-4
-8
-9
-10
-11
-12
Answer:
r = (-4,9]
Step-by-step explanation:
hope this will help
Answer:
-4<y≤2
Step-by-step explanation:
The range of a graph is the range of the y values.
Why are fractions difficult to teach and learn? Give 5 reasons.
Answer:
It is not hard
Step-by-step explanation:
•Once you get familiar with the lesson you understand it in a much easier way by doing problems pretty often
•If you want get more comfortable with it just search for a few questions in internet specifically educational platforms in schools like teachers
•But if your still confused you can always study it for free by byjus or vedantu and the best option in my opinion is ask your teacher to explain it once more
•It is very hard to solve questions if you are not freindly with the chapter
• Do not hesitate to ask questions if your doubting or anything you might face problems in higher grades with the topic
Milan sold an article for Rs 450 with a loss of 10%. Find his CP. At what price it should be sold so as to gain 5 %.
Pls-- help request!!
Really need to someone to break this down so I can understand it
(a) Find the slope of the curve y= x^2 - 2x - 3 at the point P(2, -3) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)
Answer:
Part A)
The slope is two.
Part B)
[tex]\displaystyle y = 2x - 7[/tex]
Step-by-step explanation:
Part A)
We want to find the slope of the curve:
[tex]\displaystyle y = x^2 - 2x - 3[/tex]
At the point P(2, -3) by using the limit of the secant slopes through point P.
To find the limit of the secant slopes, we can use the difference quotient. Recall that:
[tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}[/tex]
Since we want to find the slope of the curve at P(2, -3), x = 2.
Substitute:
[tex]\displaystyle f'(2) = \lim_{h \to 0} \frac{f(2 + h) - f(2)}{h}[/tex]
Simplify. Note that f(2) = -3. Hence:
[tex]\displaystyle \begin{aligned} f'(2) &= \lim_{h\to 0} \frac{\left[(2+h)^2 - 2(2+h) - 3\right] - \left[-3\right]}{h} \\ \\ &=\lim_{h \to 0}\frac{(4 + 4h + h^2)+(-4-2h)+(0)}{h} \\ \\ &= \lim_{h\to 0} \frac{h^2+2h}{h}\\ \\&=\lim_{h\to 0} h + 2 \\ \\ &= (0) + 2 \\ &= 2\end{aligned}[/tex]
(Note: I evaluated the limit using direct substitution.)
Hence, the slope of the curve at the point P(2, -3) is two.
Part B)
Since the slope of the curve at point P is two, the slope of the tangent line is also two.
And since we know it passes through the point (2, -3), we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]
Substitute. m = 2. Therefore, our equation is:
[tex]\displaystyle y + 3 = 2(x-2)[/tex]
We can rewrite this into slope-intercept if desired:
[tex]\displaystyle y = 2x - 7[/tex]
We can verify this by graphing. This is shown below:
You buy butter for $4 per pound You need 4oz of butter for your formula How much does the butter for 1 portion cost?
Translate into a variable expression. the quotient of 43 less than m and twice m
Answer:
(m - 43)/2m
Step-by-step explanation:
helpppp!!!!!!!!!!!!!!!!!!!!!
Answer:
Below
Step-by-step explanation:
DO=15
OB=3x+7
DB=9x-2
O is between D and B
So,
OB+DO=DB
or, 9x-2+3x+7=15
or, 12x=15-5
or, x=10/12
Thus, x=5/6
11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!
To find the solutions of quadratic equation, there are two ways to do which are:
FactorizeQuadratic FormulaStep 1
- Factor the expression.
To factor the expression, refer below:
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]
For bx and ax, both can be common-factored. Therefore
[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]
From the above, we conclude that:
The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×bFrom the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.
[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]
Because in the middle term, it is -x which is negative, we have to let the highest number become negative.
From the factored expression:
The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30Then we replace the standard equation with factored form.
[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]
For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!
Hence
[tex] \displaystyle \large{ x = - 5, 6}[/tex]
Therefore, the solutions are x = -5, 6.
(Urgent please!!) Given the lines AB and CD, determine the slope of line CD. Type a numerical answer in the space provided. If necessary. Use the /key to represent a fraction bar. Do not put spaces in your answer
Answer:
-5/4
Step-by-step explanation:
C is at the point (2,3) and D is at the point (6,-2)
-2-3 = -5 which would be the top part and 6-2=4 and that's the bottom part.
If a = b, then a^2 = b^2
What is the proof of this statement?
Step-by-step explanation:
a²=b²
since a=b, therefore we can write a in place of b or b in place of a,
a²=a² or b²=b²
Hence, it is proved.
I hope it helped U
I hope it helped Ustay safe stay happy
Evaluate the expression 3(x^2-y) +4 if x=3 and y=2
f.) 16
g.) 25
h.) 29
j.) 33
Step-by-step explanat
(g) 3[(3)²-2]+4=3(9-2)=3×7=21+4=25
The temperature in a town is 33.6°F during the day and - 17.3°F at night. Find the difference in the temperatures.
The difference in temperature is
F.
Answer:
the difference between the temperatures is -50.9. f=-50.9
Step-by-step explanation:
33.6°F+17.3°F=50.9
33.6°F+F= -17.3°F
33.6°F+(-50.9°F= -17.3°F
so, F=-50.9°F
Step-by-step explanation:
d=T2-T1=(-17.3-33.6)=-50.9°F
3. Solve and plot your answer on the number line below:
9.28 + 2x = 18.14
Step by step
2/8 of a rope is 28 meters.What is the length of the rope?
let length be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{2}{8}\times x=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{2x}{8}=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{4}=28[/tex]
[tex]\\ \sf\longmapsto x=4(28)[/tex]
[tex]\\ \sf\longmapsto x=112[/tex]
Sam hits a golf ball from a elevated tee
First take a derivative,
[tex]\frac{d}{dx}-5t^2+10t+30=-10t+10=-10(t-1)[/tex]
Now compute the critical point where the slope is 0,
[tex]-10(t-1)=0\implies t-1=0\implies t=1[/tex]
And done.
The maximum height is at [tex]t=1[/tex] of [tex]h(1)=-5+10+30=35[/tex].
Hope this helps :)
5.4 - (9.5 - 8) - 2.5
(pls help and explain pls)
Answer:1.4
Step-by-step explanation:
What is the largest multiple of 4 that is less than 30 ?
Answer:
The multiples of 4 that are less than 30 are 4, 8, 12, 16, 20, 24, 28
Question 9 of 10 Which of the following is most likely the next step in the series? OA. O B. O C. O D.
Answer: B
Step-by-step explanation:
The most likely the next pattern in the series is 2 lines with red color. Therefore, option B is the correct answer.
What is pattern?A recurring arrangement of numbers, forms, colours, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
From the given patterns
Figure 1 has 5 lines and it is blue in color.
Figure 2 has 4 lines and it is red in color.
Figure 3 has 3 lines and it is blue in color.
So, Figure 4 must has 2 lines and red in color.
Therefore, option B is the correct answer.
Learn more about the pattern here:
https://brainly.com/question/23136125.
#SPJ7
which equation shows the valur of -2/5- (-9/15)
Answer:
3/15
Step-by-step explanation:
-2/5=-6/15
(-6-(-9))/15=(-6+9)/15=3/15
Sorry for my bad handwriting
Answer:
No it is good
Step-by-step explanation:
I like it. good luck
Answer:
Rs 18.30
Step-by-step explanation:
100-(25.75+20.50+35.45)=100-81.70=Rs18.30