any irrational number would do, like pi or root(2)
please help i have to resit math final so bare with me
help me with this equation : x^2 - 7 = 0 IN QUADRATIC EQUATION
PS. 1st one to answer gets a brainly crown :)
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Step-by-step explanation:
number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Solve the inequality:
3(8 – 4x) < 6(x – 5)8 - 4x < 2(x - 5)8 - 4x < 2x - 108 + 10 < 4x + 2x18 < 6x3 < xx > 3The solution set is the space to the right from 3, where 3 is given by an open circle.
Correct choice reflecting the answer is B:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Evaluate without a calculator:
CSC -120°
Answer:
- [tex]\frac{2\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the identity and the exact value
csc x = [tex]\frac{1}{sinx}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]
- 120° is in the third quadrant where sin < 0 , then
csc - 120° = - sin60° , then
csc - 120°
= [tex]\frac{1}{-sin60}[/tex]
= - [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]
= - [tex]\frac{2}{\sqrt{3} }[/tex] ( rationalise the denominator )
= - [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= - [tex]\frac{2\sqrt{3} }{3}[/tex]
The equivalent value of the trigonometric relation cosec ( -120 )° = 2√3/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
We know that the cosecant function is defined as the reciprocal of the sine function:
cosec (θ) = 1 / sin(θ)
Therefore, to evaluate cosec(-120°), we first need to find sin(-120°).
We know that sine is an odd function, which means that sin(-θ) = -sin(θ). Therefore,
sin(-120°) = -sin(120°)
We can now use the fact that the sine function has a period of 360 degrees, which means that sin(120°) is the same as sin(120° - 360°) = sin(-240°).
Using the same logic as before, we get:
sin(-240°) = -sin(240°)
Now , from the trigonometric relations , we get
Now, we can use the fact that sin(240°) = sin(240° - 360°) = sin(-120°), which means that:
sin(-240°) = -sin(-120°)
Therefore, we have:
sin(-120°) = -sin(120°) = -sin(-240°) = sin(240°)
Now, we can use the unit circle or trigonometric identities to find sin(240°). One way to do this is to draw a 30-60-90 degree triangle in the third quadrant of the unit circle, with the angle of 240° as the reference angle:
In this triangle, the opposite side (O) has a length of √3, the adjacent side (A) has a length of -1, and the hypotenuse (H) has a length of 2.
Therefore, sin(240°) = O/H = (√3)/2.
Finally, we can use the definition of the cosecant function to find cosec(-120°):
cosec(-120°) = 1/sin(-120°) = 1/sin(240°) = 1/((√3)/2) = 2/√3 = (2√3)/3.
Hence , cosec(-120°) is equal to (2√3)/3.
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Intercept Form
Point (-3,4)
Slope 5
m= b=
Answer:
y = 5x + 19
Step-by-step explanation:
y = 5x + b
4 = 5(-3) + b
4 = -15 + b
19 = b
Find the probability of rolling a three first and then a six when a pair of dice is rolled twice.
a. 1/18
b. 5/648
c. 1/54
d. 5/324
Plz help me
Answer:
5 / 648
Step-by-step explanation:
Given tbe sample space for a pair of dice attached below :
Sample space for a pair of dice = 6² = 36
Rolling a 3 first :
Recall, probability = required outcome / Total possible outcomes
P(rolling a 3). = 2 / 36 = 1 /18
Probability of rolling a 6 (second roll)
P(rolling a 6) = 5 / 36
Hence,
P(3) then P(6) ;
1 / 18 * 5/36 = 5 / 648
complete the table of values for y=x^2-x
Answer:
y = 6,2,0,0,2,6
hope this helps
Step-by-step explanation:
3 1/2 divided by 2 1/6=
Answer:
21/13
Step-by-step explanation:
3 1/2 = 7/2
2 1/6 = 13/6
7/2 divided by 13/6
7/2 X 6/13 = 42/26 = 21/13
Answer:
Step-by-step explanation:
3 1/2 = 7/2 and 2 1/6 = 13/6
7/2 divided by 13/6 = 7/2 x 6/13
42/26
21/13 is your final answer.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
39.30°
Step-by-step explanation:
In ∆ KLM :-
cos x = LK / KM cos x = 6.5/8.4 cos x = 65/84 x = cos -¹( 65/84)x = 39.30°(-6)^-1 multiply by x = 27^-1. find x
Answer:
-32 shall be multiplied to get the answer.
Step-by-step explanation:
DON'T MIND MY WRITING!!
Solve the quadratic equation by factoring. Show your work and explain the steps you used to solve. 6x2 + 11x + 3 = 0
Answer:
6 x 2 = 8 + 11 = 19 x 3 = 57
Step-by-step explanation:
what is the measure of the angle formed by a side of the given angle and the given angle's bisector:27?
Answer:
Step-by-step explanation:
An angle is cut in half by the bisector.
Since the given angle is 172, its bisector creates 2 equal angles.
2x = 172 Divide both sides by 2
x = 172/2
x = 86
Plz help. How to convert this standard notation to scientific notation 549,755,813,888.
Answer:
To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates. Do not write the power of ten anymore
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply
Answer:
Step-by-step explanation:
From the picture attached,
ΔDEF is a right triangle with two sides,
EF = 17 units
DF = 20 units
By applying Pythagoras theorem in the given triangle,
DE² = DF² + EF²
(20)² = DF² + (17)²
DF² = 400 - 289
DF = √111
Trigonometric ratios for the ∠F,
sin(F) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]\text{sin}F=\frac{\sqrt{111}}{20}[/tex]
[tex]\text{cosF}=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\text{cos}F=\frac{17}{20}[/tex]
[tex]\text{tan}F=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\text{tan}F=\frac{\sqrt{111}}{17}[/tex]
Choose the correct option.
Volume= 27cm3
Density =5 g/cm3
Mass=
Answer:
135g
Step-by-step explanation:
[tex]\boxed{mass = density \times volume}[/tex]
Given: density= 5g/cm³, volume= 27cm³
Mass
= 5 ×27
= 135g
A skydiver jumps from an airplane and accelerates toward the ground. His velocity can be modeled by the function
v(t) = 1000t/5t+8, where v (t) is the velocity in feet per second, and t represents time in seconds. Due to air resistance, there is
a limiting velocity the skydiver will not exceed, called the "terminal velocity". At terminal velocity, the velocity does not
continue to increase. What is the terminal velocity? Justify your answer.
Answer:
The terminal velocity is 8.00ft/s
Step-by-step explanation:
Given
[tex]v(t) = 1000t^2 - 5t + 8[/tex]
Required
The terminal velocity
This implies that we calculate the maximum velocity.
First, we calculate the maximum value of t using:
[tex]t_{max} = -\frac{b}{2a}[/tex]
Where:
[tex]v(t) = at^2 + bt + c[/tex]
So, we have:
[tex]t_{max} = -\frac{-5}{2*1000}[/tex]
[tex]t_{max} = \frac{5}{2000}[/tex]
[tex]t_{max} = 0.0025[/tex]
Substitute this value of t in [tex]v(t) = 1000t^2 - 5t + 8[/tex] to get the maximum velocity
[tex]v(t) = 1000t^2 - 5t + 8[/tex]
[tex]v(t) = 1000 * 0.0025^2 - 5 * 0.0025 + 8[/tex]
Using a calculator, we have:
[tex]v(t) = 7.99375[/tex]
Approximate
[tex]v_{max} = 8.00ft/s[/tex]
Velocity is the rate of change of its position with respect to time. The terminal velocity of the skydiver is 200 ft/sec.
What is velocity?Velocity is the rate of change of its position with respect to time.
[tex]V = \dfrac{dy}{dt}[/tex]
Given the velocity of the skydiver by the function v(t)=1000t/(5t+8), after some time, the velocity will become terminal velocity and then it can not be increased further, therefore, the terminal velocity can be written as,
[tex]\lim_{t \to \infty} V(t) = \lim_{t \to \infty} \dfrac{1000t}{5t+8}\\\\[/tex]
[tex]= \lim_{t \to \infty} \dfrac{\frac{1000t}{t}}{\frac{5t}{t}+\frac{8}{t}}\\\\[/tex]
[tex]= \dfrac{1000}{5+\frac{8}{t}}\\\\= \dfrac{1000}{5}\\\\=200[/tex]
Hence, the terminal velocity of the skydiver is 200 ft/sec. It can be confirmed by plotting the function on the graph.
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help me brainliest and i willllll
Answer:
1/9
Step-by-step explanation:
You would multiply 1/3 by 1/3 since both of the spins are out of three for the probability of rolling on the same color two times.
Triangle MNO is isosceles. Find the value of y and the measure of Angle O. Y=______
Angle O=_______degrees
Answer:
y = -5
o = 35 degrees
Step-by-step explanation:
If you replace y with -5, the statement 7y = 4y - 15 is correct. You get -35 = -35. Hope this helped!
In the diagram, what is AC?
find the DB =[tex]\displaystyle\bf \sqrt{17^2-8^2} =15[/tex] ; now find AD=AB-DB=21-15=6 .Then AC=[tex]\displaystyle\bf \sqrt{AD^2+CD^2} =\sqrt{6^2+8^2} =10[/tex]
Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in both right triangles
To find BD
BD² + CD² = BC²
BD² + 8² = 17²
BD² + 64 = 289 ( subtract 64 from both sides )
BD² = 225 ( take the square root of both sides )
BD = [tex]\sqrt{225}[/tex] = 15
Then
AD = AB - BD = 21 - 15 = 6
To find AC
AC² = AD² + CD²
AC² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )
AC = [tex]\sqrt{100}[/tex] = 10 → C
A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ
Here is the answer-
Neither angle measure nor segment length is preserved. Here's why-
This sequence includes a vertical stretch, which is neither a rigid transformation nor a dilation.
Answer:
I don't understand this
Please help me .. I really need help with this ASAP
Given:
Number of flower pots = 6
To find:
The number of ways of the gardener to arrange the flower pots.
Solution:
Number of ways to arrange n items is n!.
So, the number of ways to arrange 6 pots is:
[tex]6!=6\times 5\times 4\times 3\times 2\times 1[/tex]
[tex]6!=720[/tex]
Therefore, there are total 720 ways of the gardener to arrange the flowerpots.
What is the equation of the line that is parallel to y = 6x – 1 and passes through the point (-3, 4)?
The equation will be in slope-intercept form.
Answer:
y = 6x + 22
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 1 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes, then
y = 6x + c ← is the partial equation
To find c substitute (- 3, 4 ) into the partial equation
4 = - 18 + c ⇒ c = 4 + 18 = 22
y = 6x + 22 ← equation of parallel line
Find the value of cos H rounded to the nearest hundredth, if necessary
Answer:
0.6
Step-by-step explanation:
cos H = GH/FH
FH^2=20^2+15^2
FH^2=400+225=625
FH=25
cos H= 15/25=3/5=0.6
===========================================================
Explanation:
Before we can apply a trig ratio, we need to find the length of the hypotenuse. Use the pythagorean theorem.
a^2 + b^2 = c^2
c^2 = a^2 + b^2
c = sqrt(a^2 + b^2)
c = sqrt(15^2 + 20^2)
c = 25
The hypotenuse is 25 units long, which is the length of segment FH.
Now we can find the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(H) = GH/FH
cos(H) = 15/25
cos(H) = 3/5
cos(H) = 0.6
1. In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes.
(a) Make a list of all the different possible outcomes when two number cubes are rolled.
(b) What fraction of the possible outcomes is favorable?
(c) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:
Answer:
34
Step-by-step explanation:
You should not expect more than 34 times to be favorable, because favorable outcomes are about 28% of outcomes, and 28% of 100 is 28, which is less than 34.
6/21 outcomes will be favorable.
Here is a list of all possible :
1 - 1
1 - 2
1 - 3
1 - 4
1 - 5
1 - 6
2 - 2
2 - 3
2 - 4
2 - 5
2 - 6
3 - 3
3 - 4
3 - 5
3 - 6
4 - 4
4 - 5
4 - 6
5 - 5
5 - 6outcomes29 out of every 100 outcomes will likely
6 - 6
One or two of the underlined outcomes have a three. The total number of outcomes is 21, and six of them include 3's. Therefore, when we multiply 6/21 by .286, we get 28.6%. be favorable.
Hope this helps! : )
Rewrite 1/5 barrel and 1/2 as a Unit rate
(4x^ 8 y^ 4 +2xy^ 2 -2y)-(-7x^ 2 y)^ 3 +6xy^ 2 -2y) place the correct in difference
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answer:
Step-by-step explanation:
The area of a sector has the formula
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] Hopefully, this looks somewhat familiar to you. Theta is the central angle given as 75, r is the radius given as 4. Filling in:
[tex]A_s=\frac{75}{360}*(3.14)(4)^2[/tex] and simplifying that a bit to look less threatening, but not by much:
[tex]A_s=\frac{5}{24}(3.14)(16)[/tex] and
[tex]A_s=\frac{251.2}{24}=\frac{157}{15}=10.466666666...[/tex] Not sure how you're supposed to express your answer so I gave both the fraction and its decimal equivalency.
what is the product of -8(9)
show your work to the problem
Answer:
-72
Step-by-step explanation:
-8×-9
=-72
hope it helps you..
Pls answer this questionn plss ill mark u brainliest
find the sin in the triangle
Answer:
.324 or 18.9 degrees
Step-by-step explanation:
rule is
sine equals opposite over hypotenuse,
cosine equals adjacent over hypotenuse, and
tangent equals opposite over adjacent
OR
soh cah toa
sine = soh = 12/37 = .324
arcsin(.324) or sin^-1(.324) in DEGREES not radians =
18.9 degrees
Brink of tears All my points
Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average of 5% each year since then.
A) Write an iterative rule to model the sequence formed by the profits of Rhonda’s business each year.
B) Use the rule to determine what the annual profits of Rhondas business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end. Show your work
Answer:
(a) $ 30000 + 1500 t
(b) $ 52500
Step-by-step explanation:
Initial profit = # 30,000
Profit increases every year by 5 %.
(a) Let the profit after t year is
P = $ 30,000 + 5% of 30,000 t = $ 30000 + $ 1500 t
(b) t = 15 years
P = $ 30000 + $ 1500 x 15 = $ 52500
Using exponential function concepts, it is found that:
a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]
b) The prediction for her profits in 15 years is of $62,368.
What is an exponential function?
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.Item a:
Her business made $30,000 in profits the first year, hence [tex]A(0) = 30000[/tex].Her annual profits have increased by an average of 5% each year since then, hence [tex]r = 0.05[/tex].Then, the model is:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 30000(1 + 0.05)^t[/tex]
[tex]A(t) = 30000(1.05)^t[/tex]
Item b:
In 15 years, the estimate for the profits is of:
[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]
The prediction for her profits in 15 years is of $62,368.
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