Step-by-step explanation:
first identify the common difference
The first term which i will define by u⁰=-27
u¹=u⁰+(1)d where d is the common difference and u¹ is the second term
u¹=-27+d
-11=-27+d
d=27-11=16
The 72nd term would be u⁷¹ since we started from u⁰ as our first term:
Use the explicit relation given by:
u(n)=u⁰+(n)d
u(71)=-27+71(d)
u⁷¹=-27+71(16)
u⁷¹=-27+1136
u⁷¹=1109
The ratio of red candy to green candy in a bag is 3 to 4
If there were 36 pieces of green candy in the bag, how many pieces of candy in the bag were red?
Answer:
27
Step-by-step explanation:
we know that 4 multiplied with something is 36
=> 4x = 36
=> x = 36/4
=> x = 9
so we have to multiply 3 with 9
=> 3*9 = 27
Can someone please help?
Simplify, 81^1/4
Answer:
3
Step-by-step explanation:
81^(¼) can also be witten as the fourth root of 81, which happens to be 3.
Answer:
3
Step-by-step explanation:
(3*(to the fourth power))1/4
What shape am i 3equal side each 4cm not right angles
Answer:
Triangle
Step-by-step explanation:
A regular triangle has equal sides and no right angles. Hope this helps. ^^
The number 144 can be represented by 12x12 square grid which of the following can be also represented on a square grid??
A. 39 b.50 c.70 d.81
Answer:
d.81
Step-by-step explanation:
81 can be represented by a 9x9 square grid. The rest of the numbers would be represented on rectangular grids.
Answer:
D. 81
Step-by-step explanation:
81 can be represented by 9X9 square grid
9^2 = 81
A ball is thrown from a height of 44 meters with an initial downward velocity of 6 m/s . The ball's height h (in meters) after t seconds is given by the following.
h= 44 - 6t - 5t squared 2
How long after the ball is thrown does it hit the ground?
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
Step-by-step explanation:
h = -5t^2 - 6t + 44
I'll assume 0 meters is the ground height. That would mean we want to know the time, t, for h to be = 0 meters:
h = -5t^2 - 6t + 44
0 = -5t^2 - 6t + 44
5t^2 + 6t -44 = 0
Solve using the quadratic equation: 2.43 and - 3.63 seconds. We'll use the positive value: 2.43 seconds for the ball to reach the ground. Save the -3.63 value for the Klingons.
We can also solve by graphing the function, as per the attached image. Note that the starting time of 0 seconds, the ball is at 44 feet. It reaches the x axis at 2.43 seconds (where x = 0, the ground).
Answer:
t = 2.43 s (nearest hundredth)
Step-by-step explanation:
Given equation: [tex]h=44-6t-5t^2[/tex]
where:
h = height (in meters)t = time (in seconds)When the ball hits the ground, h = 0
[tex]\implies 44-6t-5t^2=0[/tex]
[tex]\implies 5t^2+6t-44=0[/tex]
Using the quadratic formula when [tex]ax^2+bx+c=0[/tex] and where:
a = 5b = 6c = -44x = t[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]=\dfrac{-(6)\pm\sqrt{(6)^2-4(5)(-44)}}{2(5)}[/tex]
[tex]=\dfrac{-6\pm\sqrt{916}}{10}[/tex]
[tex]=\dfrac{-6\pm2\sqrt{229}}{10}[/tex]
[tex]=\dfrac{-3\pm\sqrt{229}}{5}[/tex]
[tex]=2.43, -3.63 \ \textsf{(nearest hundredth)}[/tex]
As time is positive, t = 2.43 s (nearest hundredth)
Please Answer ASAP
I was kind enough to give the old ones we had a the beginning of a school year
The other one is not mines
Answer:
The answer = 9
D : 729
Step-by-step explanation:
here step-by-step is 6/2 * (1 + 2) = 9
basic set of drawing pencils costs $8.98. A professional set of drawing pencils costs $27.49. How much more does the professional set cost than the basic set?
ASAP
$18.51
Step-by-step explanation:
assuming you dont need the cost per pencil or anything...
pro set: $27.49
basic set: $8.98
subtract basic from pro.
27.49-8.98= $18.51
Answer:
I know this is a little late but your answer is 18.51
Help me on this question please!
Answer:
1/5
Step-by-step explanation:
Arrange the numbers from smallest to largest...the median is the one in the middle of the list
-12/4 - 2.5 1/5 18/5 10 the middle is 1/5
The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) e^-x/1074 /1074
The probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].
What is the probability density function?Probability Density Function is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.
The given function is;
[tex]\rm =\dfrac{ e^\frac{-x}{1074}}{1074}[/tex]
The probability density function of the time to failure of an electronic component in a copier (in hours) is given by;
[tex]\rm P(a < x < b) =\int\limits^a_b {p(x)} \, dx[/tex]
For the electronic component, the probability will be:
[tex]\rm P(a < x < b) =\int\limits^a_b {\rm \dfrac{ e^\frac{-x}{1074}}{1074}} \, dx\\\\ P(a < x < b) =\int\limits^a_b {\rm \dfrac{1074}{1074} e^\frac{-x}{1074}}} \, dx\\\\P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex]
Hence, the probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].
Learn more about probability here;
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Please help I will give brainliest.
Answer:
ο Neither is correct.
Step-by-step explanation:
1) the vertex has coordinates (5;-7) the equation must be made up according to the rule: y=(x-x₀)²-y₀, where (x₀;y₀) - the coordinates of the vertex;
2) according to the rule above the equation of the given graph is:
y=(x-5)²-7;
3) finally, 'neither is correct'
Two students in Ms. Romean's class are working on
finding the mean for the following set of numbers: 2,
12, 16, 4, 18, 24, 32. Susan states that the answer is
15.4 when rounded to the nearest tenth. She added all
of the numbers and divided by 7. Sam disagrees and
thinks the answer is 54. She added all of the numbers
and divided by 2. Which student is correct? How do
you know? Explain your thinking!
Answer:
susan is correct
Step-by-step explanation:
2+12+4+18+24+32=108
108 divided by 7=54
my reasoning is that the formula is add all and divide by how many numbers you added
A family uses 12,986. 64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars, does the family spend per month on the mortgage? 1 US dollar = 0. 9019 Swiss francs 1 Swiss franc = 1. 11 US dollar $975 $1,080 $1,200 $1,440.
Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,
[tex]\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs[/tex]
Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.
Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,
[tex]\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200[/tex]
Hence, the amount that is paid by the family in mortgage per month is equal to $1200.
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Select all of the steps that are possible when solving for x.
5 1/2x + 2/3x = 37
x = 37
x = 6
37x = 6
37/6x = 37
1 1/2x + 2/3x =37
Answer:
37/6x = 6 and 5 1/2x + 2/3x = 6
Step-by-step explanation:
A cake mix calls for these ingredients.3 cups of milk6 cups of flour2 cups of sugar1 cup of oil
Answer:
what's up w u people and not giving context
Step-by-step explanation:
1. add ur complete problem
2. show a picture or add the question(s)
3. ur done at that point
change 1.77 tones to kilograms
Answer:
1770
Step-by-step explanation:
multiply the mass value by 1000
that is the easy way
In a survey of 3,000 people who owned a certain type of car, 1,050 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
35 percent
Step-by-step explanation:
1050 / 3000 as a percent
1050 / 3000 = 105 / 300
Divide both sides by 3:
300 / 3 = 100
105 / 3 = 35
35 / 100 = 35 percent
34%
This is because when you divide 1,050 by 3,000 you get 0.34 then turn that into a percent then there you go
Mrs Smith visits THE SCHOOL - outfitters to buy school clothes for the new school year.
The price of a school dress is R350 and a blazer is R650.
Calculate the percentage profit the shop makes if the cost price per dress is R280.
The shop makes 25% profit if the cost price per dress is R280.
Brainliest if correct
Answer:
$294.00
Step-by-step explanation:
Whats the gross pay before taxes?
Answer: $294.00 with overtime and everything.
what value of x makes this inequality true?
x + 16 < 43
Answer:
x < 27
Step-by-step explanation:
x + 16 < 43
move the constant to the right-hand side and change its sign
x < 43 - 16
subtract the numbers
x < 27
~~~~~~~~~~~~~~~~~~
X < 27
alternative form
X ∈ ( - ∞ , 27 ) , { x | x < 27 }
What is the vertex of the function below?
Answer:
lol thts 26
Step-by-step explanation:
Which of the following polynomials has solutions that are not real numbers?
x2 - 6x +3
x2 + 4x +3
-X2 - 9x - 10
x2 + 2x + 3
Answer:
4
Step-by-step explanation:
Answer:
Option 4 is correct.
Step-by-step explanation:
To find: Polynomial whose solution are not real numbers.
Given Polynomials are Quadratic Polynomial.
So, we can check if solution of quadratic polynomial by find & checking value of discriminant.
Standard form of Quadratic polynomial is given by
ax² + bx + c
then Discriminant, D = b² - 4ac
If, D > 0 ⇒ Solutions are distinct real numbers
if, D = 0 ⇒ Solutions are equal real numbers
if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)
Option A:
By comparing with standard form
a = 1 , b = -6 , c = 3
D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0
Thus, Solutions are Real numbers.
Option B:
By comparing with standard form
a = 1 , b = 4 , c = 3
D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0
Thus, Solutions are Real numbers.
Option C:
By comparing with standard form
a = -1 , b = -9 , c =-10
D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0
Thus, Solutions are Real numbers.
Option D:
By comparing with standard form
a = 1 , b = 2 , c = 3
D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0
Thus, Solutions are not Real numbers.
Therefore, Option 4 is correct.
Solve for x: -1 < x + 3 < 5
Answer:
- 4 < x < 2
Step-by-step explanation:
- 1 < x + 3 < 5 ( subtract 3 from each of the 3 intervals )
- 4 < x < 2
-1 < x + 3 < 5
Then subtract 3 from each of the 3 intervals
- 4 < x < 2
#CarryOnLearning
#LibreAngMatuto
If tangent theta = negative three-eighths, which expression is equivalent to cotangent theta?
The value of [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex] or [tex]\rm cot\theta = -\frac{8}{3}[/tex] the option first is correct.
It is given that the [tex]\rm tan\theta = -\frac{3}{8}[/tex]
It is required to find which expression is equivalent to [tex]\rm cot\theta[/tex].
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have [tex]\rm tan\theta = -\frac{3}{8}[/tex] , which is a ratio of side opposite side of an angle to the side adjacent to the angle.
We know [tex]\rm cot\theta[/tex] is a ratio of the side adjacent to the angle to the side opposite to the angle ie. it is the opposite of the [tex]\rm \tan\theta[/tex] ie.
The [tex]\rm tan\theta = \frac{1}{cot\theta}[/tex]
or [tex]\rm cot\theta = \frac{1}{tan\theta}[/tex]
Putting the value of [tex]\rm tan\theta[/tex] in the above equation, we get:
[tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex]
Or
[tex]\rm cot\theta = -\frac{8}{3}[/tex]
Thus, the value of [tex]\rm cot\theta = \frac{1}{ -\frac{3}{8} }[/tex] or [tex]\rm cot\theta = -\frac{8}{3}[/tex].
Know more about trigonometry here:
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Answer:
first option
Step-by-step explanation:
Help on this pleases.
Answer: ASA
Step-by-step explanation:
Which equation represents the data in the table?
Answer:
c
Step-by-step explanation:
It all adds up. Ex; 2*2=4 4-3=1
and continues through the rest of the table
Which of the following is an expression
A. 7x = 4
B. 7 = x = 4
C. 7 - x
D. 7n - 3 = 32
Answer:
D. 7n - 3 = 32 Because is contains the neccesary amount of variables needed to be considered as an expression.
Step-by-step explanation:
Hope this helps you! :D
2m - 3 - 5= -m + 10 please help me
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]
[tex]\qquad \sf \dashrightarrow \: 3m = 18[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 18 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 6[/tex]
Hence, value of m is 6
A mirror is the shape of an ellipse defined by startfraction y squared over 7.29 endfraction startfraction x squared over 6.25 endfraction = 1 with units in feet. which statement identifies the orientation of the mirror and its greatest dimension? the mirror has a vertical orientation and is 5.4 ft tall. the mirror has a horizontal orientation and is 5.4 ft wide. the mirror has a vertical orientation and is 7.29 ft tall. the mirror has a horizontal orientation and is 7.29 ft wide.
The major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft, the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.
What is the equation of ellipse if its major and minor axis are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]
For the considered case, the equation of the considered ellipse is:
[tex]\dfrac{x^2}{(\sqrt{7.29})^2} + \dfrac{y^2}{(\sqrt{5.4})^2} =1[/tex]
Thus, the major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft,
the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.
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Answer:
The mirror has a vertical orientation and is 5.4 ft tall.
Step-by-step explanation:
Got it right. The major axis is vertical (the ellipse has a vertical orientation) because the y^2 term comes first. It is 5.4 ft tall because if you take the square root of the number under the y^2 term (square root of 7.29), it is equal to 2.7. This is only the distance from the center to one vertex on the major axis, and so twice 2.7 is 5.4, and the mirror is 5.4 ft tall.
Also I know I am weeks late, but maybe this will help others at some point. Sorry I didn't get here in time!
Which set of steps can be used to prove the sine sum identity, sin(x y) = sin(x)cos(y) cos(x)sin(y)?
The trigonometry identity sin(x + y) = sinx cosy + cosx siny.
What is sin(x + y) identity in trigonometry?sin(x + y) is one of the identities in trigonometry for compound angles.
The angle (x + y) represents the compound angles.
sin(x + y) = sinx cosy + cosx siny
To prove sin(x + y) = sinx cosy + cosx siny
Consider OX as a rotating line anti-clockwise. Let angle XOY = a
the making of an acute angle b the rotation in the same direction is
angleYOZ = b , angle XOZ = a + b
From triangle PTR,
∠TPR = 90 - ∠PRT , ∠ROX = a
From the right-angled triangle PQO
sin(a + b) = PQ/OP
= (PT + TQ) / OP
= PT/OP + TQ/OP
= PT/PR × PR/OP + RS/OR × OR/OP
= cos (∠TPR ) sinb + sina cosb
= sina cosb + cosa sinb
if we replace a=x and b=y
Therefore, sin(x + y) = sinx cosy + cosx siny.
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Matthew bought 12 roses for his mother. Exactly 1 of the roses were white. How many of the roses were white?
2
3
4
5
What is [tex]\sf{\displaystyle\frac{1}{4}}[/tex] of 12?
In order to find it, we should divide 12 by 4:-
3
Now, solve our word problem:-
Matthew bought 12 roses. [tex]\sf{\displaystyle\frac{1}{4} }[/tex] of these roses were white.
And we already know how to solve this problem :)
Hence,
[tex]\bigstar{\boxed{\pmb{3~of~the~roses~were~white}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)