Answer:
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Step-by-step explanation:
We have the equation:
|8 - 2*p| = 6
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|8 - 2*p| = 6
as:
(8 - 2*p) = 6
or
(8 - 2*p) = -6
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
8 - 2*p = 6
8 - 6 = 2*p
2 = 2*p
2/2 = p = 1
so one solution is p = 1
Now from the other equation, we can get the other solution:
(8 -2*p) = -6
8 - 2*p = -6
8 + 6 = 2*p
14 = 2*p
14/2 = p = 7
So the two solutions are p = 1 and p = 7
Then the correct option is:
"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."
What is the probability that an event is certain to occur?
Answer: 1
Explanation: An event whose occurrence is 100% sure, those events are called certain events.
The probability of such an event is always 1.
Example: The probability of getting a number between 1 to 6 when rolling a die is a certain event.
Help ME PLS IM FAILING PYTHAGOREAN THEOREM I NEED HELP NOW
Answer:
3.9
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse
7^2 + h^2 = 8^2
49 + h^2 = 64
h^2 = 64-49
h^2 = 15
Taking the square root of each side
sqrt(h^2) = sqrt(15)
h = 3.87298
To the nearest tenth
h = 3.9
A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 643 said that they attended at least one class reunion. For the public university, 804 out of 1315 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant
Answer:
To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.
Because the problem didn't state a specific significance level, I'm going to use the most common one p = 0.05.On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.
Set p₁ ≠ p₂ as we're trying to show that the two proportions are far in value, not whether one is greater/lesser than another.Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.
Match each equation to its graph. Use the drop-
down menus to describe the equations.
Answer:
D. y=x+1 Linear
A. y=x^2 Quadratic
B. y=(3/2)^x Exponential
C. y=x^2+2/x^2-2 Rational
Step-by-step explanation:
got it right :)
The correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C What is a linear equation?The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.
For example y=2x+3
What is a quadratic equation?The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.
For example, y=3x²
Here given that the functions are given in the figure and we have to identify the appropriate graph.
Checking all the equations individually
y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.Therefore the correct option for the equations are:
y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option CLearn more about linear equation
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Ba đường phân giác của tam giác ABC gặp nhau tại O phát biểu nào sau đây đúng
A Ao luôn vuông góc với BC
B OA=OB=OC
C Ao luôn đi qua trung điểm BC
D O cách đều ba cạnh của tam giác
Answer:
D
Step-by-step explanation:
từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau
Parametric equation of the line d: 4x-3y+17=0
Answer:
x = t/4 and y = (t+17)/3
Step-by-step explanation:
4x-3y+17=0
or, 4x=3y-17
let, 4x = t
so, x = t/4
and 3y-17 = t
or, 3y = t+17
or, y = (t+17)/3
Answered by GAUTHMATH
Whats the answer
HURRY IM BEING TIMED
Answer:
(C.
I THINK-
Step-by-step explanation:
What is the distance from the plane
Answer:
here's the answer to your question about
In a right triangle the two legs are measures of 4x and 3x with a hypotenuse measurement of 5x. If the area of the triangle is 24 square units, find the cosine of each acute angle.
The cosine of the acute angles are 0.80 and 0.60 respectively
The given parameters are:
[tex]Leg\ 1 = 4x[/tex]
[tex]Leg\ 2 = 3x[/tex]
[tex]Hypotenuse = 5x[/tex]
Let the acute angles be [tex]\alpha[/tex] and [tex]\beta[/tex]
The cosine of the acute angles is calculated using:
[tex]\cos(\alpha) = \frac{Leg\ 1}{Hypotenuse}[/tex]
[tex]\cos(\beta) = \frac{Leg\ 2}{Hypotenuse}[/tex]
So, the formula becomes
[tex]\cos(\alpha) = \frac{4x}{5x}[/tex]
[tex]\cos(\alpha) = \frac{4}{5}[/tex]
[tex]\cos(\alpha) = 0.80[/tex]
and
[tex]\cos(\beta) = \frac{3x}{5x}[/tex]
[tex]\cos(\beta) = \frac{3}{5}[/tex]
[tex]\cos(\beta) = 0.60[/tex]
Hence, the cosine of the acute angles are 0.80 and 0.60 respectively
Read more about cosines at:
https://brainly.com/question/19923448
Find the measure of
Answer:
74 degrees
.................
Answer:
74
Step-by-step explanation:
BEC and CED form a straight line so they add to 180
BEC+CED = 180
106+ CED = 180
CED = 180-106
CED = 74
Work out the value of 10^2 - 4^3
Give your answer as a power of 6.
Answer:
6^2 = 36
Step-by-step explanation:
10^2 = 10 * 10 = 100
4^3 = 4 * 4 * 4 = 64
10^2 - 4^3= 100 - 64 = 36 = 6^2
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6^2[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve for x. The triangles are similar.
A. 5
B. 10
C. 4
D. 8
Answer: D) 8
Work Shown:
32/24 = 2x/12
32*12 = 24*2x
384 = 48x
48x = 384
x = 384/48
x = 8
The correct option is Option D: the value of x is 8
What are similar triangles?The triangles whose corresponding angles are equal and the corresponding sides are in equal proportiion are called similar triangles.
If two triangles are similar
then a₁/a₂=b₁/b₂=c₁/c₂
where a₁, b₁, and c₁ are the sides of one triangle
a₂, b₂, and c₂ are the sides of another triangle
Here it is given that
triangles ΔJLK and ΔRJS are similar.
so by the property of similar triangles,
JR/JL = JS/JK = RS/KL
Given that JR=24
JL=32
JS=12
JK=2x
By using the property
JR/JL = JS/JK
⇒ 24/32 = 12/2x
⇒2x= 12*32/24
⇒2x=16
⇒x=16/2
⇒x=8
Therefore the value of x is 8.
Learn more about similar triangles
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whats 12 times 12 times 12 times 12 times 12 plus 1 plus 9 puls 1,000
Answer:
249,842
Step-by-step explanation:
to simplify it down, instead of 12*12 multiple times, i went with 12^5 ; 12 to the fifth power
12^5 + 1 + 9 + 1000
248,832 + 1 + 9 + 1000
248,832 + 1010 = 249,842
go to gauthmath's sub reddit if needing more things ^^
Answer: 249842
Step-by-step explanation: when 12 multiplies it self 5 times
[tex]12^{5}[/tex]
=248832
Addition of 1,9 and 1000
=1 + 9 + 1000
=1010
Sum total = 248832 +1010
=249842
OR
12×12×12×12×12+1+9+1000
=249842
3(t-3)=5(2t+1) solve the following linear equations
Step-by-step explanation:
3(t-3)=5(2t-1)
= 3t-9=10t-5
= 3t-10t = -5+9
= -7t = 4
= -t = 4/7
= - 4/7 Answer
hope it helps
What statement describes the graph?
Answer:
D.
Step-by-step explanation:
The gragh crosses the y-axis at (0,-5), decreasing from x=-10 to x=-2 and remaining constant from x=-2 to x=10
If m∠A = 43° and the measure of arc AB = 69°, then m∠B = ° (Blank 1). (Round your answer to one decimal place, if necessary.)
====================================================
Explanation:
If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.
When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.
Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees
Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.
Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees
Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.
At a particular school, all students participate in at least one out of three activities: debate, music, and community service. 3 students do all three activities, 21 students do two or more activities, half of all students participate in music, and the ratio of participants in debate, music, and community service, respectively, is $5:4:3$. What is the total number of students at the school
Answer:
48
Step-by-step explanation:
The given parameters are;
The activities in which the students of the school participate = 1) Debate, 2) Music, and 3) Community services
The number of students that do all three activities = 3
The number of students that do two or more activities = 21
The number of the students that participate in music = Half of the students
The ratio of the students that take part in debate, music, and community service = 5 : 4 : 3
Let x represent a common number factor of participants in each of the given three activities, we have;
5·x participate in debate, A
4·x participate in music, B
3·x participate in community service, C
We get;
The sum of the students in the school = A∪B∪C = A + B + C - A∩B - A∩C - B∩C + A∩B∩C
Given that the number of students that do two or ore activities = 21, we have;
(A∩B)∪(A∩C)∪(B∩C) = 21
However, we have;
(A∩B)∪(A∩C)∪(B∩C) = (A∩B) + (A∩C) + (B∩C) - A∩B∩C - B∩A∩C - C∩B∩A + A∩B∩C
∴ 21 = (A∩B) + (A∩C) + (B∩C) - 3 - 3 - 3 + 3
(A∩B) + (A∩C) + (B∩C) = 21 + 3 + 3 + 3 - 3 = 21 + 6 = 27
∴ -(A∩B) - (A∩C) - (B∩C) = -27
Therefore;
A + B + C - A∩B - A∩C - B∩C + A∩B∩C = 5·x + 4·x + 3·x - 27 + 3
5·x + 4·x + 3·x - 27 + 3 = 12·x - 24
The total number of students = A∪B∪C = 12·x - 24
The number of students participating in music, B = 4·x = Half the total number of students = (12·x - 24)/2
∴ 4·x = (12·x - 24)/2
8·x = 12·x - 24
12·x - 8·x = 24
4·x = 24
x = 24/4 = 6
The total number of students at the school = 12·x - 24 = 12 × 6 - 24 = 48
See screenshot below
Answer:
cos theta = -1/ 2
Step-by-step explanation:
sin theta = -sqrt(3)/2
Drawing a triangle
We know sin theta = opp/hyp
We can determine the adj side using the Pythagorean theorem
a^2 + b^2 = c^2
adj^2 + (-sqrt(3))^2 = 2^2
adj^2 +3 = 4
adj^2 = 4-3
adj ^2 =1
Taking the square root of each side
adj = 1
We know that since it is in the third quadrant the adj side is negative
adj = -1
cos theta = adj / hyp
cos theta = -1/ 2
Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{-\sqrt{3}}{2}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{-\sqrt{3}}{2}[/tex]
equating corresponding value
opposite=-[tex]\sqrt{3}[/tex]
hypoyenuse=2
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
2²=-[tex]\sqrt{3²}[/tex]+x²
4=3+x²
x²=4-3
x=[tex]\sqrt{1}=1[/tex]
x=-1
In third quadrant
Cos angle is negative
Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{-1}{2}[/tex]I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz be helpful to me ......
c) If C.P. = Rs 750, loss percent = 8% find S.P.
Answer: SP is Rs 690
Step-by-step explanation:
CP= Rs 750
loss percent = 8%
so
loss = 8% of CP
= 8/100 * 750
= Rs 60
Loss = Rs 60
so
SP = Rs 750-60
= Rs 690
Answer:
here,
CP=750
loss%=8%
now,
SP= (100-L)×cp/100
= (100-8)×750/100
= (92×750)/100
= 69000/100
= 690
hence the SP of the article is Rs 690
any problem then comment it
hope this helped you ☺️
Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer
Answer: (13,-7)
Step-by-step explanation:
By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]
[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.
For finding the midpoint X variable do:
[tex](\frac{4+22}{2})=13[/tex]
For finding the midpoint Y variable do:
[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.
Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.
x: 13
y: -7
(13,-7).
Find the length of x. Assume the triangles are similar.
A. 2.5
B. 4.4
C. 4.0
D. 3.5
Answer:
the answer is get to be D-3.5
help me with this question math please
Answer:
42.94$ is the answer.....
Bret wants to take an advert out in a newspaper. The page has a length of 36cm. An advert will take 1/3 of the length of the page. Bret says the advert needs to be 11cm in length. Is Bret correct? Show your working out and state a clear answer.
Answer:
I don't think so
Step-by-step explanation:
the length of the newspaper page=36cm
the advert will take 1/3 of the page=1/3*36=12
so the advert takes12 cm and he says it has to be 11 cm which is not right .
I hope this helps
What is the length of AC
Answer:
x=9 ⇒AC=24
Step-by-step explanation:
vì DE//B C⇒ΔABC Tương ung ti tỉ lệ vớiv ΔADE
⇒DB/AB=EC/AC
⇒AC=(EC.AB)/DB
⇒AC=24
what is the total cost
Answer:
Step-by-step explanation:
We need to first find the perimeter of this oddly-shaped rink. We have a rectangle for which we are enclosing 3 of its sides, and the fourth "side" is a half-circle. Let's find the perimeter (or circumference) of the circle, divide it in half because we have half a circle, then add in the remaining 3 sides from the rectangle, shall we?
C = πd. The diameter of the circle is the same as the shorter length in the rectangle, 26. Therefore,
C = (3.14)(26) so
C = 81.64 m for a whole circle, and for half of that circle, the circumference is
C = 40.82 m
Now we can find the perimeter of the rink:
40.82 + 61 + 26 + 61 = p so
p = 188.82 m
If the fencing costs $6.20 per meter and we have 188.82 m, then the total cost is
[tex]cost=\frac{6.20dollars}{meter}*188.82meters[/tex]. The label "meter" cancels out, leaving us with
cost = $1170.82
For which of the following do you need to change the final y to i before adding the suffix?
say + -ing
happy + -ness
enjoy + -ment
play + -er
multiply
0.105 x 0.7=
Answer:
0.0735 got it right
Step-by-step explanation:
got it right
The Large square represents one whole.
3.74 - 1.53 = ?
Answer:
2.21
Step-by-step explanation:
Find the intersection of the following sets: Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}
Answer:
Step-by-step explanation:
Intersection means that the sets have terms in common
(5, 14, 22) are the common terms.
Answer:
A ∩ B = { 5,14,22}
Step-by-step explanation:
Intersection is where the two sets meet, or what they both have in common
Set A : {1, 5, 10, 14, 22} Set B : {5, 14, 20, 22, 27}
Set A intersect B has 5 , 14 and 22 in common
A ∩ B = { 5,14,22}
please answer this!!
Answer:
b
Step-by-step explanation:
tan equal to (opposite side) /(adjacent side)
am not able to write root 3 on phone but its something like this
(a¤3)/a
in which¤3 is root 3
