We can solve this quadratic equation using factorisation method as follows
:x2−5x−36=0
x2+4x−9x−36=0
x(x+4)−9(x+4)=0
(x+4)×(x−9)=0
x+4=0orx−9=0
x=−4orx=9
Translate sentence into inequality
Answer:
c+3<22
Step-by-step explanation:
c+3<22
PLS HELP FAST THIS IS DUE NOW
Dalia is painting her room. After painting 1/10 of her room, Dalia has used 1/2 of a can of paint. Select all of the true statements.
1. each can of paint will cover 1/20 of Dalia's room
2. painting 1/2 of Dalia's room requires 10 cans of paint
3. Dalia's entire room requires 20 cans of paint
4. 3 cans of paint will cover 60% of Dalia's room
5. Dalia's entire room requires 5 cans of paint
THANK YOU WILL ADD BRAINLIEST FOR RIGHT ANSWER
Answer:
4. 3 cans of paint will cover 60% of Dalia's room
5. Dalia's entire room requires 5 cans of paint
Step-by-step explanation:
If Dalia has painted 1/10 of her room with 1/2 can of paint, then she will paint 2/10 of her room with 1 can of paint (since there are 2 halves in a whole).
2/10 = 1/5 ⇒ 1 can of paint covers 1/5 of the room.
Therefore, to paint the entire room, she will need 5 cans of paint.
60% of 5 cans of paint = 0.6 × 5 = 3
Therefore, 3 cans of paint will cover 60% of the room.
Help please i need this done!!
Answer:
answer in order from top to bottom
1. True
2. false
3. true
4. false
Answer:
.
Step-by-step explanation:
1.true
2.true
3.false
4.false
i hope it helps :)
May someone please help me with this problem and tell me where the steps go in order
Answer:
Hello, so most of your steps are in the correct order. All you need to do is switch is the following steps.
x = -3 ± 5/2 should go before x = -3 + 5/2 and x = -3 - 5/2 as the second seperates the the ± into + and -
[You need to switch steps 4 and 5]
The UN has called for Burma to allow access to a Fact Finding Mission to investigate reports of human rights violations and abuses and to work with which government to facilitate repatriation of Rohingya refugees?
A. Thai
B. Bangladesh
C. Indian
D. Pakistani
Answer:
B. Bangladesh
Step-by-step explanation:
he UN has called for Burma to allow access to a Fact Finding Mission to investigate reports of human rights violations and abuses and to work with Bangladesh to facilitate repatriation of Rohingya refugees, and in September 2018 the International Criminal Court (ICC) determined it had jurisdiction to investigate reported human rights abuses against Rohingyas. Burma has rejected charges of ethnic cleansing and genocide, and has chosen not to work with the UN Fact Finding Mission or the ICC.
CAN SOMEBODY HELP ME CAUSE I DO NOT UNDERSTAND
please help on this i’ve looked to try to find the answer and no one had done it
Answer:
Inf solutions.
Step-by-step explanation:
1/2 (b+14) = b+14/2
Simplify
b+14 = b+14
B=b
Since the answers are equal on both sides there are infinite solutions,
please help with this question
1) K=17°
2)Jk=2.84yd
3)KL=2.71yd
If Shawn can read 60 pages in 3/4 hour. What is the unit rate? And how do I use the unit rate to determine the number of pages Shaun can read in 1 h? And what is the Answer??
Answer:
80 pages
Step-by-step explanation:
Divide 60 by 3 to get 20 because this is how many pages he can read in 1/4 hour. Then multiply that by 4 to get 80, which is how many pages he can read in a full hour.
If the level of significance (α) is 0.005 in a two-tail test, how large is the nonrejection region under the curve of the t distribution?
A. 0.005
B. 0.995
C. 0.9975
D. 0.050
Find the value of x Using parallel cut by the transversal (show your work)
Answer:In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
In the following diagram, two parallel lines are cut by a transversal. What is the value of x x? Solution: The two angles 3x −15 3 x − 15 and 2x +7 2 x + 7 are equivalent. That is: 3x −15 = 2x +7 3 x − 15 = 2 x + 7
Step-by-step explanation: : 3
Pls Help Me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the x-axis and time on the y-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
PLEASE HELP
Which graph best represents this function?
Answer:
D is the correct answer
Step-by-step explanation:
A is not correct because it does not meet the fourth criteria, B is not correct because it doesnt meet the second criteria, C is not correct because it does not meet the third criteria, D IS CORRECT because it meets the fourth criteria.
I need help please is this question i needed ;-;. What amount in dollars would Peter save on a $64 coat that is on sale for 30 off?. please help or else mom will kill me ;-;
Answer:
He would save $19.20.
Step-by-step explanation:
30% = 0.3
64*0.3 = 19.2
There he saves $19.20 on the coat.
What is the length of FH in the right triangle below?
Answer:
7
Step-by-step explanation:
apply the Pythagorean theorem
[tex]10 {}^{2} = ( \sqrt{51} ) {}^{2} + x {}^{2} \\ 100 = 51 + x {}^{2} \\ 100 - 51 = x {}^{2} \\ 49 = x {}^{2} \\ x = 7[/tex]
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?
Answer:
I'm assuming where you wrote x2, you meant 2x.
Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3
At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.
sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2
cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2
tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3
To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.
Step-by-step explanation:
BRAIN LY FAST
MARK A BRAINLESS
[tex]\sin\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{8}}\\\cos\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\\\tan\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{4 - \sqrt{15}}}\\[/tex]
To find sin(x/2), cos(x/2), and tan(x/2), we need to use the half-angle identities for trigonometric functions.
Given: csc(x) = 4 for 90° < x < 180°
Step 1: Find sin(x). Since csc(x) is the reciprocal of sin(x), we have:
csc(x) = 1/sin(x) = 4
Now, find sin(x):
sin(x) = 1/csc(x) = 1/4
Step 2: Find cos(x). To do this, use the Pythagorean identity:
[tex]sin^2(x) + cos^2(x) = 1\\cos^2(x) = 1 - sin^2(x) \\= 1 - (1/4)^2 \\= 1 - 1/16 \\= 15/16[/tex]
Now, find cos(x):
[tex]\cos(x) = \pm \sqrt{\frac{15}{16}}[/tex]
Since x is in the second quadrant (90° < x < 180°), cos(x) is negative. So,
[tex]\cos(x) = - \sqrt{\frac{15}{16}}[/tex]
[tex]= -\sqrt{15} / 4[/tex]
Step 3: Find tan(x). To do this, use the identity:
[tex]\tan(x) = \frac{\sin(x)}{\cos(x)}\\\tan(x) = \frac{\frac{1}{4}}{-\frac{\sqrt{15}}{4}}\\\tan(x) = -\frac{1}{\sqrt{15}}[/tex]
Now, let's find sin(x/2), cos(x/2), and tan(x/2) using the half-angle identities:
Half-angle identities:
[tex]\sin \left ( \frac{x}{2} \right ) = \pm \sqrt{\frac{1 - \cos x}{2}}\\\cos \left ( \frac{x}{2} \right ) = \pm \sqrt{\frac{1 + \cos x}{2}}\\\tan \left ( \frac{x}{2} \right ) = \frac{\sin \left ( \frac{x}{2} \right )}{\cos \left ( \frac{x}{2} \right )}[/tex]
Step 4: Find sin(x/2):
[tex]\sin \left( \frac{x}{2} \right) = \pm \sqrt{\frac{1 - \cos x}{2}}\\\sin \left( \frac{x}{2} \right) = \pm \sqrt{\frac{1 + \frac{\sqrt{15}}{4}}{2}}\\\sin \left( \frac{x}{2} \right) = \pm \sqrt{\frac{4 + \sqrt{15}}{8}}\\\sin \left( \frac{x}{2} \right) = \pm \frac{\sqrt{4 + \sqrt{15}}}{\sqrt{8}}\\\sin \left( \frac{x}{2} \right) = \pm \frac{\sqrt{4 + \sqrt{15}}}{2}[/tex]
Step 5: Find cos(x/2):
[tex]\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{1 + \cos(x)}{2}}\\\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{1 + \left(-\frac{\sqrt{15}}{4}\right)}{2}}\\\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{1 - \frac{\sqrt{15}}{4}}{2}}\\\cos\left(\frac{x}{2}\right) = \pm\sqrt{\frac{4 - \sqrt{15}}{8}}\\\cos\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\cos\left(\frac{x}{2}\right) = \pm\left(\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\right)[/tex]
Step 6: Find tan(x/2):
[tex]\tan \left ( \frac{x}{2} \right ) = \frac{\sin \left ( \frac{x}{2} \right )}{\cos \left ( \frac{x}{2} \right )} = \pm \frac{\sqrt{4 + \sqrt{15}}}{\sqrt{4 - \sqrt{15}}}[/tex]
So, the values are:
[tex]\sin\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{8}}\\\cos\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 - \sqrt{15}}}{\sqrt{8}}\\\tan\left(\frac{x}{2}\right) = \pm\frac{\sqrt{4 + \sqrt{15}}}{\sqrt{4 - \sqrt{15}}}\\[/tex]
Note: The ± symbol indicates that there are two possible solutions due to the quadrant restrictions.
To know more about functions:
https://brainly.com/question/31062578
#SPJ2
Complete Question is:
If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x /2 ) = ? cos ( x /2 ) = ? tan ( x /2 ) = ?
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
25
Step-by-step explanation:
The formula for the Pythagorean Theorem is:
[tex]\sqrt{a^2+b^2}=c[/tex]
Now,
A=7
B=24
7x7=49
24x24=576
Add,
576+49=625
Last,
Take the square root of 625
The square root of 625 is 25
c=25
To Check if the hypotenuse is correct:
[tex]a^2+b^2=c^2[/tex]
[tex]7^2+24^2=25^2[/tex]
7x7=49
24x24=576
25x25=625
49+576=625
625=625,
Therefore the hypotenuse is 25.
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
42.5 ft squared
Step-by-step explanation:
hope this helped brah
evaluate this function f(x)= 1/3 • 6x at x=2
Answer:Im pretty sure the slope is 2.
Step-by-step explanation:
a – 16 = 24 simple equation
Answer:
40
Step-by-step explanation:
16+24=40
40-16=24
Answer:
a = 40
Step-by-step explanation:
Add 16 on both sides
a - 16 + 16 = 24 + 16
a = 24 +16 = 40
a = 40
Verification
LHS = a - 16 a = 40
40 - 16 = 24
RHS = 24
Both LHS and RHS are same so, our answer is correct.
CAN SOMEBODY HELP ME
B =
C =
Answer:
b=-30;c=41
Step-by-step explanation:
I don't really know how to explain it... Vertex form, so factor out 5, divide by two, that has to be three. so .1b=3, b=30... opposite of the square of 3 times 5 add c=-4, so -45+c=-4, c=41. Just learn vertex form, and complete the perfect square. Good luck!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER what is the value of X in simplest radical form?
X=_____
Answer:
x= 29
Step-by-step explanation:
use Pythagoras because it has a right angle and 2 sides length is given.
when the hypoteneus(side opposite the right angle) is the value you are finding out you use the equation : x²+y²=hypoteneus² (Pythagoras)
then you sub in the values you are given
(21)² + (20)² = hypoteneus²
them take the square root (²) to the opposite side to find the hypoteneus
square root (441+400) = hypoteneus
now you can put into a calculator and you get the value
hypoteneus =29 (for reference to hypoteneus is the same as X-the value you are looking for)
therefore, x=29
for extra reference, say you want to work out a side that is not the hypotenues you use the formula ,
(side u looking for)² = (hypotenues)² - (other side given)²
Answer:
x = 29
Step-by-step explanation:
To find x, we can use the Pythagorean theorem.
a^2 + b^2 = c^2
21^2 + 20^2 = x^2
441 + 400 = x^2
841 = x^2
[tex]\sqrt{841}[/tex] = [tex]\sqrt{x^2}[/tex]
29 = x
Steps to solve an equation are shown below. Which properly justifies step 4? Given: 2x + 9 = 4x + 15
Answer:
The answer is
→ No property
Step-by-step explanation:
Given equation: [tex]2x + 9 = 4x + 15[/tex]
What were supposed to do: Which properly justifies step 4.
Solve:
[tex]2x + 9 = 4x + 15[/tex]
Step 1: We must subtract 4x on both sides.
[tex]2x+9-4x=4x+15-4x[/tex]
[tex]= -2x+9=15[/tex]
Step 2: We must subtract 9 on both sides.
[tex]-2x+9-9=15-9[/tex]
[tex]= -2x=6[/tex]
Step 3: We must divide both sides by -2.
[tex]\frac{-2}{2} = \frac{6}{-2}[/tex]
[tex]= x = -3[/tex]
Result:
[tex]x=-3[/tex]
There is no Step 4.
Find the growth or decay percentage y= 18(0.914)m
The function y = 18(0.914)^m is having exponential decay. The decay percent of this function is 8.6%
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is plus sign, then there is exponential growth happening by r fraction or 100r %
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
For this case, the exponential growth/decay function given is:
[tex]y = 18(0.914)^m[/tex]
That means, there is multiplication of (0.914) for each growth/decay.
We can rewrite 0.914 as:
0.914 = 1 - 0.086
This shows decay as multiplication with 0 < quantity < 1 makes the number less in magnitude.
A quantity times (1 - 0.086) = that quantity - that quantity times 0.086
and we can write 0.086 = 8.6/100 = 8.6%
Thus, we're decreasing 8.6% each time from a quantity when we multiply that quantity with (1-0.086)
Thus, there is exponential(exponential because of the presence of variable 'm' as exponent in the given function) decay of 8.6%.
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
#SPJ1
Vigorous intensity physical activity target heart rate ranges between
A. 80-9096
B. 70-80%
C. 75-8596
D. 65-75%
Answer:
70% to about 85% of your maximum heart rate
Step-by-step explanation:
Find the area of this shape. Show work pls. Round to the nearest hundredth.
Answer:
35 ft²
Step-by-step explanation:
The shape is a triangle and its area is given by the formula below:
Area of triangle= ½ ×base ×height
Do note that the height has to be the perpendicular height, which is 5 ft in this case.
Area of triangle
= ½(14)(5)
= 35 ft²
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
If f(x)=x²-5x-6, find the input values that make the function 0.
Answer:
6 and -1
Step-by-step explanation:
If you take the equation and set it to be 0, you can find the input values that make it 0.
[tex]x^2-5x-6=0[/tex]
Since this is a quadratic, equation you can use the quadratic formula with the values:
a = 1b = -5c = -6The quadratic formula is:
[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
If you plug the values for a, b, and c, you get:
x = 6 and x = -1
Simplify 2x-(-3x+9). 5x-9 –x-9 x+9
Answer:
5x - 9
Step-by-step explanation:
2x -(-3x + 9)
2x + 3x - 9) DISTRIBUTE -1
5x - 9 COMBINE LIKE TERMS
Which of the following graphs best represents the solution to the pair of equations below? y = −2x + 2 y = 2x + 2 A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at negative 2 and the x axis at 1. The lines intersect at 1 comma 0. A coordinate plane is shown with two lines graphed. One line passes through the y axis at negative 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines are parallel and do not intersect. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at 1. The other line passes through the y axis at 2 and the x axis at negative 1. The lines intersect at 0 comma 2. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 2 and the x axis at negative 1. The other line passes through the y axis at negative 2 and the x axis at negative 1. The lines intersect at negative 1 comma 0.
The lines are
i) y=-x+6
ii) y=2x-3
The solution of the system of equations is found by equalizing the 2 equations:
-x+6=2x-3
-2x-x=-6-3
-3x=-9
x=-9/(-3)=3
substitute x=3 in either i) or ii):
i) y=-3+6=3
ii) y=2(3)-3=6-3=3
(the result is the same, so checking one is enough)
This means that the point (3, 3) is a point which is in both lines, so a solution to the system.
In graphs, this means that the lines intersect at (3, 3) ONLY
Answer: The graph where the lines intersect at (3, 3)