the answer you selected is correct
-4x^2(3x^3 - 5x + 4)
Answer: HUNYAAAHH
Step-by-step explanation:
Answer:
If you simplify the answer you will get...−12x^5 + 20x^3 - 16x^2
Step-by-step explanation:
Hope this helps!
A tugboat captain is trying to navigate in foggy conditions. He sees the top of a lighthouse with an angle of elevation of 12°. He knows the lighthouse has a height of 125 feet. How far is the tugboat from the top of the lighthouse?
The tugboat is approximately 588.235 feet away from the top of the lighthouse.
To find the distance between the tugboat and the top of the lighthouse, we can use trigonometry and the concept of tangent.
Let's denote the distance between the tugboat and the top of the lighthouse as x.
We know that the angle of elevation is 12° and the height of the lighthouse is 125 feet.
In a right triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
In this case, the tangent of the angle of elevation is equal to the height of the lighthouse divided by the distance between the tugboat and the lighthouse:
tan(12°) = 125 / x
To find x, we need to isolate it on one side of the equation.
We can do this by taking the inverse tangent (arctan) of both sides:
x = 125 / tan(12°)
Using a calculator, we can calculate the value of the tangent of 12°:
tan(12°) ≈ 0.212556
Now, we can substitute this value into the equation to find x:
x = 125 / 0.212556 ≈ 588.235
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a) Write - x² - 14x + 9 in the form -(x + c)² +d, where c and d are numbers. What are the values of c and d?
b) Hence, write down the coordinates of the turning point of the
curve y = -x² - 14x + 9.
a) The values of c and d are 7 and 58.
b) The coordinates of the turning point of the curve y = -x² - 14x + 9 is,
⇒ (- 7, 58)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The expression is,
⇒ - x² - 14x + 9
Now, Simplify the expression to change in the form of -(x + c)² + d as;
⇒ - x² - 14x + 9
⇒ - (x² + 14x) + 9
⇒ - (x² + 14x) - 49 + 49 + 9
⇒ - (x² + 14x + 49) + 49 + 9
⇒ - (x + 7)² + 58
By comparing, we get;
The values of c and d are,
⇒ c = 7
⇒ d = 58
And. To find the coordinates of the turning point of the curve
y = -x² - 14x + 9, we can differentiate it with respect to x and equate it to zero.
⇒ y = -x² - 14x + 9
⇒ dy/dx = - 2x - 14 = 0
⇒ - 2x = 14
⇒ x = - 7
And,
⇒ y = -x² - 14x + 9
⇒ y = - (-7)² - 14×- 7 + 9
⇒ y = - 49 + 98 + 9
⇒ y = 58
Thus, The coordinates of the turning point of the curve y = -x² - 14x + 9 is,
⇒ (- 7, 58)
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Six-four million, one hundred eighty-six thousand, three hundred square miles in standard form
Answer:
64,186,300 square miles
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
What are the four answers?
Answer:
CLAE
Step-by-step explanation:
1=43
2=28
3=24
4=83
Solve the equation and state the solution and type of solution
5(x + 2) -3x = 2(x + 5)
Answer:
0=0
Step-by-step explanation:
5(x+2) -3x=2(x+5)
5x+10-3x=2x+10
5x-3x+10=2x+10
2x+10=2x+10
0=0
Frank earns 56,600$ one year and receives a 9 % raise in salary. What is his new salary?
Answer:
His new salary would be $61,694
Step-by-step explanation:
Steven bought some movie tickets for $8.25 each and a box of popcorn for $5.50.
He spent a total of $38.50. How many movie tickets did Steven buy? Write an
arithmetic equation to represent the problem. Solve the equation to find the number
of movie tickets.
The cost of each movie ticket will be $ 9.
We are given that Steven bought some movie tickets for $8.25 each and a box of popcorn for $5.50. He spent a total of $38.50.
So , m represents the cost of each movie ticket,
The cost of 2 movies tickets = 2m dollars,
Also, the cost of one box of popcorn = $ 6,
The total spending for 2 movie ticket and one box of popcorn as equation
= ( 2m + 6 ) dollars
According to the question;
2m + 6 = 24,
Subtract 6 on both sides;
2m = 18
Divide both sides by 2
m = 9,
Hence, the cost of each movie ticket is; $ 9.
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Make a rap about why a parallelogram is the best shape. Must be appropriate and at least a minute long. Giving brainless to whoever answers!!!
Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:
Yo, listen up, the parallelogram is where it's at,
A shape so brilliant, the angles are sat.
Parallel sides that never converge,
Internal angles that never diverge.
Each side an equal length,
A geometry prodigy's dream length.
The diagonals intersect, another line through the middle they meet,
Creating symmetry so neat.
A rectangle it could be,
But it's oblong, not square, can't you see?
With depth and width in perfect balance we see,
A two-dimensional form of complexity.
While the square is simple, the parallelogram is hip,
A mathematical masterpiece, skip, skip, skip!
four right angles keep the shape so tight,
Parallel lines dominate left and right.
Rotated or reflected without a care,
Its structural integrity beyond compare.
triangles form at each corner you'll note,
Acute or obtuse, depends on the protractor's groove.
A versatile shape with reason and purpose galore,
The parallelogram, simply, carries the floor.
From geometry to art, its angles they intrigue,
As a basis for patterns, its potential we can truly plug.
A forgotten form that deserves more acclaim,
Put the parallelogram on geometry's game!
This shape so underrated, rarely appreciated it seems,
But with logic and virtue, strong foundations it gleams.
The parallelogram, the parallelogram, Hooray!
This is why the parallelogram is the best shape, I say!
3 to 2 if there are 120 children who like pizza, how many total
Answer:
320
Step-by-step explanation:
Is the 3 to 2 part to part? Out of every 5 people, 3 prefer pizza and 2 do not. We can us this to set up a proportion.
3/5 = 120/x The 3 represent the part that like pizza over the whole of 5. The second ratio is showing the actual number of people that liked pizza over the total number of people.
What would be multiply 3 by to get 120? 40. So, we will multiply 5 times 40 to get the total number of people. 5 x 40 = 200
Show your work please help me it’s due tomorrow!!!!
Answer: Consider me the brainiest. The answer is... Decimal form =4.083
Exact form= 49/12
The mixed number form=4 1/12
How do we solve fractions step by step?
Conversion a mixed number 2 1/3 to a improper fraction: 2 1/3 = 2 1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3
To find a new numerator
A; Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3
b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 3.
Two and one-third are seven-thirds.
Conversion a mixed number 1 3/4 to a improper fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4
To find a new numerator:
a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4
b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7
c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.
Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It
is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling. In other words - seven thirds plus seven quarters is forty-nine twelfths.
An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
Simplified expression for (3x-y)(w+p-3)
Answer:
3px−1py+3wx−1wy−9x+3y
Step-by-step explanation:
find the missing angle
Answer:
? = 77°
Step-by-step explanation:
the 3 angles in a triangle sum to 180° , that is
? + 35° + 68° = 180°
? + 103° = 180° ( subtract 103° from both sides )
? = 77°
Answer:77
Step-by-step explanation:
180-103=77
What’s the product of (23-8c) - (5c-1)
Answer:
\(40c^{2}\) -123c + 23
Step-by-step explanation:
1. First you need to distribute the negative sign to the second binomial
(23 - 8c) - (5c - 1)
(23 - 8c) (-5c + 1)
2. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)
(23 - 8c) (-5c + 1)
-115c + 23 + \(40c^{2}\) -8c
3. Combine the like terms
-115c + 23 + \(40c^{2}\) -8c
\(40c^{2}\) -123c + 23
hope this helps!
An escalator lifts people to the second floor of a building, 21 ft above the first floor. The escalator rises at a 30° angle. To the nearest foot, how far does a person travel from the bottom to the top of the escalator?
Answer:
42
Step-by-step explanation:
Sin 30=21/H
H=21/sin 30
H= 42
The factored form of 5 x squared minus 18 x minus 8 is __________
The factored form is (5x+2)(x-4).
What is factorization?
A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.
Here, we have
Given: 5 x squared minus 18 x minus 8
we have to find the factored form.
= 5x² - 18x - 8
= 5x² - 20x + 2x - 8
= 5x(x-4) + 2(x-4)
= (5x+2)(x-4)
Hence, the factored form is (5x+2)(x-4).
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Multiply.
(2x+6)²
NEED ANSWER ASAPP
Answer:
4x² + 24x + 36
Step-by-step explanation:
(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36
the student government claims that 70% of all students favor an increase in student fees to buy indoor potted plants for the classrooms. a random sample of 12 students produced 2 in favor of the project.
(a) What is the probability that 2 or fewer in the sample will favor the project, assuming the student government's claim is correct? (Use 3 decimal places.) (b) Do the the data support the student government's claim, or does it seem that the percentage favoring the increase in fees is less than 70%? The data do not give us any indication that the percent favoring the increase in fees differs from 70%. The data seem to indicate that the percent favoring the increase in fees is greater than 70%. The data seem to indicate that the percent favoring the increase in fees is less than 70%. The data seem to indicate that the percent favoring the increase in fees is equal to 70%.
The probability that 2 or fewer in the sample will favor the project is 4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%
According to the question,
It is given that according to the student's government
The probability that number of students in favor of increment in fees : p = 0.70
The probability that number of students against the increment : q = 0.30
Sample Size : n = 12
Number of students follows Binomial distribution
(a) We have to find the probability that 2 or fewer in the sample will favor the project
P( x ≤ 2) = P(0) + P(1) + P(2)
As we know ,
P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾
=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰
=> P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹ + 12×11/2 × (0.70)²(0.30)¹⁰
=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]
=> P( x ≤ 2) = 5.9×10⁻⁶[0.78]
=> P( x ≤ 2) = 4.368 × 10⁻⁶
Which is very close to zero
(b) The data doesn't support the student government claim.
The data seem to indicate that the percent favoring the increase in fees is less than 70%.
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A
B
C
D
Pick a letter
Answer: D
Step-by-step explanation:
1 in.=1488 milesx5=7440 miles.
Area= pi x r^2
=pi x (7440)^2 or option D.
Hope this helps :)
The directions are with the pic below. I have to send an additional pic. All wouldn’t fit on the page.
Given:
We get the points A(-1,-2) , K(-2, 2) and M(0,2).
Aim:
We need to find the new figure which is obtained by rotating the given figure by 90-degree counterclockwise.
Explanation:
Recall that when we rotate the point (x,y) 90 degrees counterclockwise then the image of the point (x,y) can be written as follows.
\((x,y)^{\prime}\rightarrow(-y,x)\)The image of point A(-1, -2).
\(A(-1,-2)\rightarrow A^{\prime}(-(-2),-1)\)\(A(-2,-2)\rightarrow A^{\prime}(2,-1)\)The image of point K(-2,2)
\(K(-2,2)\rightarrow K^{\prime}(-(2),-2)\)\(K(-2,2)\rightarrow K^{\prime}(-2,-2)\)The image of point M(0,2).
\(M(0,2)\rightarrow M^{\prime}(-(2),0)\)\(M(0,2)\rightarrow M^{\prime}(-2,0)\)Mark points A'(2,-1), K'(-2,-2), and M'(-2,0) on the graph and join all points.
Final answer:
The new figure is
So I tried solving this problem with the population growth formula,
· Population Growth: =^; a=initial amount, r=growth rate as a decimal; t=time in years; y=resulting population
My equation looked like this but I got this question wrong so any help will be appreciated
9667=11211e^(.418)(t)
The number of years it would take is approximately equal to 53 years.
How to determine the population after a number of year?In Mathematics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:
P(t) = I(1 + r)^t
Where:
P(t ) represent the population.t represent the time or number of years.I represent the initial number of persons.r represent the exponential growth rate.By substituting given parameters, we have the following:
96627 = 11211(1 + 0.0418)^t
8.61894567835 = (1.0418)^t
By taking the ln of both sides, we have:
Time, t = ln(8.61894567835)/ln(1.0418)
Time, t = 52.60 ≈ 53 years.
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trouve trois nombres entiers consécutifs dont la somme vaut 513
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
The endpoints of WX are W(-5,-1) and X(2,6).
What is the length of WX?
A. 7
B. 14
C. 4√2
D. 7/2
find the equation of a line perpendicular to 2x + 2y= -10 that passes through the point (6,2)
Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4
The length of a rectangle is 4 less than 5 times the width. The perimeter is 148 ft.
Find the length and width of the rectangle.
Answer:
Here to get the points thanks for recommending this ur so nice.
Step-by-step explanation:
Zahra has a bag that contains apple chews, strawberry chews, and lime chews. She performs an experiment. Zahra randomly removes a chew from the bag, records the result, and returns the chew to the bag. Zahra performs the experiment 41 times. The results are shown below:
An apple chew was selected 34 times.
A strawberry chew was selected 5 times.
A lime chew was selected 2 times.
Based on these results, express the probability that the next chew Zahra removes from the bag will be lime chew as a percent to the nearest whole number.
The probability that the next chew would be a lime chew is 5%.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the next chew would be a lime chew = number of lime chews / total number of chews
Total number of chews = 34 + 5 + 2 = 41
The probability that the next chew would be a lime chew = (2 / 41) x 100 = 5%
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Find the volume of the sphere below in terms of pi? Round to the nearest tenth
8 cm
Answer:
B
Step-by-step explanation:
Answer:
b) 682.7
Step-by-step explanation:
4/3 π r3
1.33 x π x (8x8x8)
1.33 x 512 x π
681 . 9 π cm3 (round it to nearest tenth) = 682.7
PLEASE HELP ASAPPPPP!!!!!!
Find the areas of the figures below. Can you find more than one method for each shape?
Please explain how you solved this. I am struggling.
Using area formula,
a. Area of the trapezium = 47.5m².
b. Area of parallelogram = 54inches².
Define area?The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.
a. Sides of the trapezium are, a = 5m and b = 14m.
Height, h = 5m.
Area of the trapezium = (a+b)/2 × h
= (5 + 14)/2 × 5
= (19× 5)/2
= 95/2
= 47.5m².
b. Height of parallelogram = 6inches.
Base of parallelogram = 9inches.
Area = b × h
= 6 × 9
= 54inches².
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