Answer:
This is the angle in the angle in the fourth quadrant that verifies the given conditions:
[tex]\phi =\frac{11\, \pi}{6} \\[/tex]
Step-by-step explanation:
Notice that in the unit circle, if sin of the angle is negative, and cos of the same angle is positive, we are in the fourth quadrant.
Also, the angle that renders
[tex]sin(\phi)=-\frac{1}{2}[/tex]
in the fourth quadrant, is [tex]\phi =\frac{11\, \pi}{6} \\[/tex]
for such angle, also :
[tex]cos(11 \pi/6)=\frac{\sqrt{3}}2}[/tex]
which verifies the second condition.
Summer Grade 6 PBL 1 Pre-Assessment
1 According to a survey conducted by the Texas Free Press, 125 out of 500 people do not
have internet access at their homes. What percent of the people surveyed do have
internet access at their homes?
I
А
12.5%
B
25%
с
37.5%
D
75%
Tyne here to search
BI
E
12
On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.
Answer:
3 miles
Step-by-step explanation:
Since the x coordinates are the same, we only need to find the distance between the y coordinates
-3 - -6
-3 +6
3 units
Each unit is 1 mile
3 units * 1 miles / 1 unit = 3 miles
Clothing price (100 percent) is 26 dollars and 50 cents, Added tax is 5 percent, and total cost is blank. Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes? Step 1: (Original Price)(Tax Percent) = Amount of Tax Step 2: Original Price + Amount of Tax = $
ANSWER PLS
Answer:
$27.83
Step-by-step explanation:
If Darrien spends 26.50, multiply that by 0.05 (26.50×0.05) which is 1.325 which rounds to 1.33. $1.33 is the amount of tax he has to add. For the full price you would do 26.50+1.33 to get 27.83.
Answer:
The answer is 27.83
Step-by-step explanation:
Thank the person above me.
How would I do this? Solve for q. –10 + 10q = 9q
Answer:
q=10
Step-by-step explanation:
-10+10q=9q
-10=-q
q=10
According to the Rational Root Theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x + 20?
Answer:
Step-by-step explanation:
You didn't give your options, but it doesn't matter. We'll find all the possibilities and then you can pick it from your list.
When I teach this in Algebra 2, I call it the "the c over d thing" and all my students know EXACTLY to what I am referring. "c" is the constant and "d" is the leading coefficient. The combination of c/d give you the possibilities of roots for the polynomial. There are no real roots that a polynomial can have other than the possibilities we find when we do the c/d thing.
Our c is a 20. All the factors of 20 are as follows (notice that we have both the positive and negative factors):
20: ±1, ±2, ±4, ±5, ±10, ±20
Our d is a 3. All the factors of 3 are as follows (again, both the + and the -):
3: ±1, ±3 and that's it for 3.
c/d is as follows. Make sure you put ever c over every d!!!:
c/d: ±[tex]\frac{1}{1}[/tex], ±[tex]\frac{2}{1}[/tex], ±[tex]\frac{4}{1}[/tex], ±[tex]\frac{5}{1}[/tex], ±[tex]\frac{10}{1}[/tex], ±[tex]\frac{20}{1}[/tex], ±[tex]\frac{1}{3}[/tex], ±[tex]\frac{2}{3}[/tex], ±[tex]\frac{4}{3}[/tex], ±[tex]\frac{5}{3}[/tex], ±[tex]\frac{10}{3}[/tex], ±[tex]\frac{20}{3}[/tex]
Those are all the possibilities for your roots for that polynomial. As long as the roots are real (and they won't always all be real!), there are no roots but these.
Answer:
its D on edge
Step-by-step explanation:
Select the expression that represents the multiplicative inverse of -4. A. -(-4) B. C. 4 D. -4
Answer:
-1/4
Step-by-step explanation:
Multiplicative inverse is another word for reciprocal
It is the number you multiply by to get 1
-4 * x = 1
Divide each side by -4
x = 1/-4
x = -1/4
Answer:
- 1/4
Step-by-step explanation:
- 4 * x = 1
= - 1/4
Hope this helps!
I’m kinda stuck on this, could anyone explain it ?
The slope of the given line is -3/4.
Any line perpendicular to this one will have slope -1/(-3/4) = 4/3.
Use the given point and the point-slope formula to get the equation of the particular line:
y - (-1) = 4/3 * (x - 0)
y + 1 = 4x/3
y = 4x/3 - 1
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
i think of a number , take away 1 and multiply the result by 3
Answer:
Step-by-step explanation:
Let the number be x
Take away 1: x -1
Then multiply the result by 3: (x- 1) * 3 = (x-1)3 or 3x - 3
What time is it if half of what has already passed remains until the end of today?
Answer:
4 p.m.Step-by-step explanation:
We know that a day contains 24 hours in total.
The time already passed will be represented by [tex]x[/tex].
The remaining time would be [tex]\frac{x}{2}[/tex], becasye half of what has already passed remains until the end of the day.
Basically, the sum of these two expression gives 24 hours in total.
[tex]x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16[/tex]
Therefore, the actual time is 4 p.m.
Find the greatest common factor of 30 and 75.
Answer:
15
Step-by-step explanation:
prime factorization of 30 is 2*3*5
prime factorization of 75 is 3*5*5
3*5 is common
Ubstitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false. 20 > 86 − ℎ. Substitute 46 for ℎ.
Answer:
The number sentence is false.
Step-by-step explanation:
The inequality given is
20 > 86 − ℎ
We are to substitute the value of h as 46 to see if the inequality is true or false.
20 > 86 - 46
20 > 40
Since 20 is not greater than 40, the number sentence is false.
Please help, thank you
Answer:
The sum = 4092
Step-by-step explanation:
The sum is equal to A, in which:
A = 4 x (2^0 + 2^1 + 2^2 + ... + 2^9)
= 4 x [(1 + 2^1 + 2^2 + ... + 2^9)(2 - 1)/(2 - 1)]
= 4 x (2^10 - 1)(2 - 1)
= 4 x (2^10 - 1)
= 4 x 1023
= 4092
Hope this helps!
Answer:
4092
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
4[tex](2)^{n-1}[/tex] ← is the n th term of a geometric sequence
with a = 4 and r = 2
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex] , thus
[tex]S_{10}[/tex] = [tex]\frac{4(2^{10}-1) }{2-1}[/tex] = 4(1024 - 1) = 4 × 1023 = 4092
*I WILL MARK YOU BRAINLIEST!!!* Whose football reaches a greatest height?
Answer:
Austin's football
Step-by-step explanation:
If you graph the equation for James's ball, you will find that the maximum height is at 5.125 feet. For Austin, it is over 8 feet. Therefore, Austin's ball goes higher. Hope this helps!
Answer:
austin's
Step-by-step explanation:
Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!
Answer:
functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Step-by-step explanation:
Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)
On the other hand, the function f(x) has two roots that are obtained by factoring it out:
[tex]f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)[/tex]
Therefore it has roots at x=2 and x= -3
So functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Need HELP!!!! Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1/4. Include all of your work in your final answer.
Answer:
[tex]y - 5 = -4(x-5)[/tex]
Step-by-step explanation:
Given
Line coordinates: (5,5)
Perpendicular slope = [tex]\frac{1}{4}[/tex]
Required
Find the point slope form of the line
First, the slope of the line has t be calculated;
Given that two lines are perpendicular;
The relationship between there slopes is given as [tex]m_1.m_2 = -1[/tex]
Let m_2 represent the slope of the second line;
such that [tex]m_2 = \frac{1}{4}[/tex]
So;
[tex]m_1 * \frac{1}{4} = -1[/tex]
Multiply both sides by 4
[tex]m_1 * \frac{1}{4} * 4 = -1 * 4[/tex]
[tex]m_1 = -1 * 4[/tex]
[tex]m_1 = -4[/tex]
Now, the equation of the line can be calculated using slope formula;
[tex]m = \frac{y - y_1}{x- x_1}[/tex]
Where
[tex](x_1,y_1) = (5,5)\\m_1 =m = -4[/tex]
So; [tex]m = \frac{y - y_1}{x- x_1}[/tex] becomes
[tex]-4 = \frac{y - 5}{x- 5}[/tex]
Multiply both sides by x - 5
[tex]-4(x-5) = \frac{y - 5}{x- 5} * (x-5)[/tex]
[tex]-4(x-5) = y - 5[/tex]
Reorder
[tex]y - 5 = -4(x-5)[/tex]
Hence, the line in point-slope form is [tex]y - 5 = -4(x-5)[/tex]
the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k metres per second
Answer:
a) 27 m/s
b) 30 m/s
c) i) 3
ii) Deceleration
Step-by-step explanation:
The question is not complete, the correct question is given as:
The graph shows information about the speed of a vehicle during the final 50 seconds of a journey. At the start of the 50 seconds the speed is k metres per second. The distance travelled during the 50 seconds is 1.35 kilometres.
(a) Work out the average speed of the vehicle during the 50 seconds
(b) Work out the value of k.
(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey
(ii) Describe what this gradient represents
Answer:
The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m
a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:
[tex]Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s[/tex]
b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.
[tex]Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/s[/tex]c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time
[tex]Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3[/tex]
ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²
Answer:
Step-by-step explanation:
a)34 m/s
b) 40k=34
k=34/40
k=0.85 m/s
What is the value of p?
Answer:
[tex]p = 43 \: \: \: degrees[/tex]
Answer A is correct
Step-by-step explanation:
[tex]90 + p = 133[/tex]
the sum of the exterior angles in a triangle is equal to the sum of opposite interior angles.
[tex]p = 133 - 90 \\ p =4 3 \: \: \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
At Barlow school, 4/9 of the 873 students are boys.
At Willow school, 2/3 of the 630 students are girls
Which school has a greater of boys and how many?
Answer:
Barlow School has the greater number of boys by 178.
Answer:
Barlow school by 178
Step-by-step explanation:
→ First let's work out the number of boys at Barlow school
[tex]\frac{4}{9}[/tex] of [tex]873[/tex] [tex]=[/tex] [tex](873/9)*4[/tex] [tex]=[/tex] [tex]388[/tex]
→ There is 388 boys in Barlow school. Now let's work out the number of boys at Willow school. Since we know that [tex]\frac{2}{3}[/tex] of the school is girls, it must mean that the remaining part must be boys so the fraction of boys at Willow school is [tex]\frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] of [tex]630[/tex] [tex]=[/tex] [tex](630/3)*1[/tex] [tex]=[/tex] 210
→ The question specifies to say which school has a greater number of boys and we can see Barlow school has more boys and the question says by how many so we take away the totals so 388 - 210 = 178
A sugar cookie recipe that makes 3 dozen cookies calls for 1.5 cups of white sugar. How much white sugar would you need to make 5
dozen cookies?
Answer:
Brainliest here!
Step-by-step explanation:
3 dozen cookies = 1.5 cups
one dozen cookies= 0.5 cups
5 dozen cookies = 2.5 cups of sugar
There are 50 sheets of drawing paper.
Larry divides the drawing paper between himself
and his younger brother John.
And Larry has 14 more sheets.
How many
sheets of drawing paper do Larry and his
brother have, respectively?
Answer:
John has 18 pieces of paper.
Larry has 32 pieces of paper.
Step-by-step explanation:
Let [tex]l[/tex] be how many pieces of paper Larry has and [tex]j[/tex] be how many pieces of paper John has.
We get:
[tex]j+14=l[/tex]
[tex]j+l=50[/tex]
[tex]j+j+14=50\\\\2j+14=50[/tex]
Subtract 14 from both sides
[tex]2j=36[/tex]
Divide both sides by 2
[tex]j=18[/tex]
John has 18 pieces of paper.
[tex]j+14=l\\\\18+14=l\\\\l=32[/tex]
Larry has 32 pieces of paper.
72= 27+ 9s solve the equation
Answer:
s=5
Step-by-step explanation:
72=27+9s
Subtract 27 from both sides.
72-27=9s+27-27
45=9s
Divide 9 from both sides.
5=s
Can someone please help me
Answer:
1) [tex]\frac{3}{7} = \frac{15}{35}[/tex]
2) [tex]\frac{64}{48}=\frac{4}{3}[/tex]
3) [tex]\frac{21}{56}=\frac{3}{8}[/tex]
Step-by-step explanation:
ESTAS SON FRACCIPONES EQUIVALENTES
1. 3(35)/7 = 15 ENTONCES 15/35
2. 48(4)/3 = 64 ENTONCES 64/48
3. 56(3)/21 = 8 ENTONCES 3/8
The first three terms of a geometric sequence are shown below. What is the eighth term of the sequence?
Answer:
A) -128x^8 - 384x^7
Step-by-step explanation:
The pattern is each term is multiplied by -2x which means by the eighth term youll have 8 x's in the first and 7 in the second. As you started off with a positive and multiplied it an even amount of time you'd end up with a negative answer. Think of it like this, it switches with each multiple so it would go: Positive, negative, positive, negative, this will get you a negative in the eighth term.
I know my explanation is a bit bad! I apologize!
Answer:
its a
Step-by-step explanation:
edge 2020 just took the test
A rectangle is 6 inches longer than it is wide. Write and simplify an expression for
the perimeter of the rectangle in terms of the width w.
Answer:
L+6=W
Step-by-step explanation:
Answer:
4w + 12
Step-by-step explanation:
w + (w+6) + w + (w+6) = 4w + 12
for perimeter you add all the sided together
w = width
w + 6= length
*Giving brainliest* Over what interval is the function in this graph constant?
Answer:
C
Step-by-step explanation:
Constant means unchanging. You can see that there is a portion in the graph where the line is just flat. That means that the graph is constant in that interval. Find where the constant line starts and ends. Since the coordinates are increasing by 2, and the constant line starts between 0 and the first tick (2), the constant line starts at 1. Do the same thing to find where it ends(the last point where the line is flat). This should be 6.
That means the line is unchanging(constant) from 1 to 6, which can be represented by C.
[tex]S= \frac{n}{2} [2a + (n - 1)d][/tex]
Make d the subject of the formula. Please help I need answer ASAP. Please help!!!!!!!!!!!!
Answer:
d = [tex]\frac{2S-2an}{n(n-1)}[/tex]
Step-by-step explanation:
Given
S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]
Multiply both sides by 2 to clear the fraction
2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n
2S = 2an + n(n - 1)d ( subtract 2an from both sides )
2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)
[tex]\frac{2S-2an}{n(n-1)}[/tex] = d
Answer:
Hope this helps:)
If so please mark me as Brainliest.
What fraction is equivalent to 5%?
A: 50/100
B: 1/20
C: 5/10
D: 1/5
Answer:
1/20
Step-by-step explanation:
5%
Percent means out of 100
5/100
Divide top and bottom by 5
1/20
Answer:
HI THERE,THE ANSWER IS
B
Step-by-step explanation:
[tex]\frac{1}{20} \\[/tex] X 100%=5%
Write the expression for the amount of wallpaper in square feet you need to cover the living room, which is the same height and width as the family room, but it has a length that is 5 times greater than the height. The living room has 2 doors.
Answer:
The expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]
Step-by-step explanation:
The necessary dimensions of the living room we need are the length and the height. We will not be needing the width because we will not be covering the floors with any wallpaper.
We will now assign variables to represent the surface areas of some features of the rooms.
Let the length of one wall of the living room be = l cm
Let the breadth of one wall of the living room be = b cm
Let the surface area of the doors be = d [tex]cm^{2}[/tex]
From the problem, we know that l = 5b
The area to be covered on one wall of the living room will be = length X breadth.
l X b
recall l = 5b
[tex]5b \times b = 5b^{2}[/tex]
this is the area to be covered on one wall.
For the four walls, we would have [tex]4 \times 5b^{2}= 20b^{2}[/tex]
Let us remember that the living room has two doors each covering a surface area of [tex]d cm^{2}[/tex] we will have to subtract these out since hey won't be covered.
[tex]20b^{2}- 2d[/tex]
Therefore, the expression for the amount of wallpaper needed is [tex]20b^{2}- 2d[/tex]
