Answer:
960 people.
Step-by-step explanation:
x = 0.6x + 384
x - 0.6x = 384
0.4x = 384
x = 384 / 0.4 = 960.
Determine which polynomial is a perfect square trinomial. 4x2 − 12x 9 16x2 24x − 9 4a2 − 10a 25 36b2 − 24b − 16.
This [tex]4x^2 - 12x + 9[/tex] factors into [tex](2x - 3)^2[/tex], and is thus a perfect square trinomial.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
Trinomial [tex]Ax^2 + Bx + C[/tex] is a perfect square if
A > 0
C > 0
B = ±2√A√C
1. [tex]36b^2 - 24b - 16[/tex]
C < 0
2. [tex]4a^2 - 10a + 25[/tex]
2√A√C = 2×2×5
= 20,
B = −10
3. [tex]16x^2 + 24x - 9[/tex]
not a perfect square,
C < 0
4. [tex]4x^2- 12x + 9[/tex]
perfect square
A>0,
C>0,
2√A√C = 2×2×3
-B = 12
= [tex](2x - 3)^2[/tex]
Thus, [tex]4x^2- 12x + 9[/tex] the polynomial is a perfect square trinomial.
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Find the diameter of the circle with the given circumference. Use 3.14 . C=16 cm
Answer:
5.1 cm
Step-by-step explanation:
The equation for the circumference of a circle is 2πr or πd.
So, we can plug in 16 and 3.14 to get 16 = 3.14×diameter.
Divide both sides by 3.14 to get approximately 5.1 cm.
Hope that helps! :)
Use the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x+ 9).
i need answer asapp!!!
will mark brainliest!!!!
For this case we have the following polynomial:
x2 + x - 12
Factoring we have:
(x-3) (x + 4)
We note that the polynomial is written as:
(x + p) (x + q)
Thus,
p = -3
q = 4
Answer:
The values of p and q that can be used to factor x2 + x - 12 as (x + p) (x + q) are:
C. -3 and 4
Have a nice day
Six by the power of 2×3
Answer:
46,656
Step-by-step explanation:
6^2x3=
6^6=
6x6x6x6x6x6=
46,656
Hope that helps!
Answer:
1458
Step-by-step explanation:
2×3^6 that is d answer
michael is driving to his mother house after 1 hour and 45 minutes he is two-thirds of the way there At this rate how many total hours will it take michael to drive hsi mothers hosue
Using proportions, it is found that it will take Michael 2.625 hours to drive to his mother's house.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In 1 hour and 45 minutes, which is equivalent in hours to [tex]1 + \frac{3}{4} = \frac{7}{4}[/tex], he is two-thirds of the way. How long it takes him to reach 100% = 1 of the way? The rule of three is given by:
[tex]\frac{7}{4}[/tex] hours - [tex]\frac{2}{3}[/tex] way.
x hours - 1 way
Applying cross multiplication:
[tex]\frac{2}{3}x = \frac{7}{4}[/tex]
[tex]2x = \frac{21}{4}[/tex]
[tex]x = \frac{21}{8}[/tex]
x = 2.625.
It will take Michael 2.625 hours to drive to his mother's house.
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What is the solution to the system
x + 4y = -8
x - 4y = -8
Answer:
x = -8
y = 0
Step-by-step explanation:
bob rented a truck for one day.there was a base fee of $14.75, and there was an additional charge of 25 cents for each mile driven. the total cost, C (in dollars), for driving x miles is given by the following function. C(x)=0.25x+14.75 what is the total rental cost if bob drove 40 miles
C(x)=0.25x+14.75
=C(40)=0.25x+14.75
=40c=0.25(40) + 14.75
=40c=10+14.75
=40c=24.75
Work out the bearing of B from A.
Answer:
The bearing of B from A is 335 Degrees
Step-by-step explanation:
Measure bearings clockwise.
Bearings are measured from the North line.
There are 25 degrees between B and North.
360 Degrees in a circle.
360 - 25 = 335
Express the trig ratios as fractions in simplest terms.
Answer:
Step-by-step explanation:
SOH CAH TOA
cos K = 36/48 = 3/4
SIN L = 36/48 = 3/4
The trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The triangle JKL is right angled triangle.
In the triangle KL is the opposite side of angle J.
SinL = Opposite/Hypotenuse
CosK = Adjacent/Hypotenuse
Used here, this means ...
sin(L) = KL/JL = 36/60 =6/10=3/5
cos(K) = KJ/KL = 36/60 = 6/10=3/5
sin(L) and cos(K) are equal
Hence, the trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .
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answer please i need help with this
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {x}^{ - 4} \times {y}^{2} } [/tex]
plug in the values :
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {3}^{ - 4} \times { - 1}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 6} {}^{ } {}^{} } [/tex]
[tex]\qquad \sf \dashrightarrow \: {3}^{6} [/tex]
[tex]\qquad \sf \dashrightarrow \:729[/tex]
Therefore, B is the Correct choice ~
・ ．━━━━━━━†━━━━━━━━━．・
Answer:
729
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{1}{3^{-2}x^{-4}y^2}[/tex]
Apply exponent rule [tex]\sf \dfrac{1}{a^{-b}}=a^b[/tex]
[tex]\sf \implies \dfrac{3^2x^4}{y^2}[/tex]
[tex]\sf \implies \dfrac{9x^4}{y^2}[/tex]
Substituting x = 3 and y = -1:
[tex]\sf \implies \dfrac{9(3)^4}{(-1)^2}[/tex]
[tex]\sf \implies \dfrac{9 \cdot 81}1}[/tex]
[tex]\sf \implies 729[/tex]
The fifth grade classes are having a food drive. There are 84 students in the fifth grade. The goal is for each student to collect 16 cans of food. How many cans will be collected in all if each fifth-grader achieves the goal?
Hey there!
Easy word problem
Since there are 84 students total and their goal is to collect 16 cans
We multiply
=> 84 × 16 ⇒ 1,344
Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal
HELLLPPPPPPPP!!!!!!!!
An experiment consists of randomly drawing a card from a standard deck and recording its color, then rolling a die and recording its value.
The following tree diagram shows the possible outcomes.
A 2-column tree diagram: card & die. The card column has B & R. B & R each branch to the numbers 1 through 6 in the die column.
What is the probability of selecting a red card and rolling a number less than 3?
Enter your answer as a reduced fraction, like this: 3/14
The experiment of rolling the dice and selecting a card is an illustration of probabilities
The probability of selecting a red card and rolling a number less than 3 is 1/6
How to determine the probability?From the figure, we have:
Total outcomes = 12
Red card with a number less than 3 = 2
So, the probability of selecting a red card and rolling a number less than 3 is:
p = 2/12
Simplify
p = 1/6
Hence, the probability of selecting a red card and rolling a number less than 3 is 1/6
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A circular piece of glass has a radius of 1.2 meters. The glass sells for $7.10 per square meter. What is the total price of the glass?
Answer:
$8.52 that should be the answer
Classify each polynomial expression by number of terms and by degree. Identify the leading coefficient.
Polynomial Expression
Term Name
Degree Name
Leading Coefficient
3+ 4+1
22
monomial
2+5
binomial
trinomial
[tex]__________________________[/tex]
2x^2 + 4x + 1Trinomial, it has 3 terms so it is a trinomial.2nd degree polynomial, its highest exponent in its variables is 2 so it is a 2nd degree polynomial2x^3Monomial, it is only 1 term so it is a monomial.3rd degree polynomial, its highest exponent in its variable is 3 so it is a 3rd degree polynomial.x + 5Binomial, it has 2 terms so it is a binomial.1st degree polynomial, the variable x has an invisible exponent of 1 so it is a 1st degree polynomial.The legend of a map says that 1 inch = 50 kilometers How many kilometers are in 7.5 inches?
Answer:
375 Km
Step-by-step explanation:
1 inch = 50 km
50 x 7.5 = 375 km
Answer:
375 Km
1 inch = 50 km
50 x 7.5 = 375 km
Help I’m so bad at math
If two triangles are congruent (as per the given congruency statement), then the corresponding angles of both triangles are also congruent.
Therefore, if angle B = 145, then angle E is also 145.
Answer: C) 145
Hope this helps!
a. 23,320ft
b. 5,830 ft
c. 11 660 ft
d. 18,000 ft
Answer:
Step-by-step explanation:
D 18,000
What causes a quadratic formula to have negative roots?
Answer:
When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.
If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Discriminant is √[tex]\sqrt{b^2- 4ac }[/tex]
a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.
In this case, we say that the roots are imaginary.
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Each side of the square below is 8 inches. a triangle inside of a square. the top of the triangle divides a side of the square into 2 equal parts of 4 inches. the triangle is shaded and the area to the right of the triangle is shaded. what is the probability that a point chosen at random in the square is in the blue region? 0.25 0.33 0.66 0.75
The probability that a point chosen at random in the square is in the blue region is given by: Option D: 0.75
How to find the geometric probability?When probability is in terms of area or volume or length etc geometric amounts (when infinite points are there), we can use this definition:
E = favorable eventS = total sample spaceThen:
[tex]P(E) = \dfrac{A(E)}{A(S)}[/tex]
where A(E) is the area/volume/length for event E, and similar for A(S).
For this case, we're given that:
We want to get probability for a randomly chosen point in square to be in the blue region.The diagram is attached below.The favorable space is the blue shaded region.
The total sample space is the area of the considered square.
Let we take:
E = event of choosing point in the blue shaded region
Now, we have:
Area of blue region = Area of triangle with base = height = 8 inches + Area of right sided triangle which has base of 4 inch (look it upside down), and height of 8 inches
Area of blue region = [tex]\dfrac{1}{2} \times (8 \times 8 + 4 \times 8) = 48 \: \rm in^2[/tex]
Area of the square of sized 8 inches = 64 sq. inches.
Thus, we get:
[tex]P(E) = \dfrac{A(E)}{A(S)} = \dfrac{48}{64} = \dfrac{3}{4} = 0.75[/tex]
Thus, the probability that a point chosen at random in the square is in the blue region is given by: Option D: 0.75
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) Which expression represents the SUM of n and 12?
the "sum of" means we add.
So the sum of n and 12 means we add n and 12:-
n+12
or
12+n (both of these expressions mean the same thing)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
last question and ty please help me answer
Step-by-step explanation:
1. 6 ounce = 1.56 $
So, 1 onuce = 1.56/6 =
2. 14 ounce = 3.36 $
So, 1 ounce = 3.36/14 =
3. 20 ounce = 5.60 $
So, 1 ounce = 5.60/20 =
What quantative measures describe a variation in a set
Answer:
This would be the range, the interquartile range, the variance, and finally the standard deviation.
Step-by-step explanation:
Hope this helps you, please mark as brainlest.
What are the number of real zeros and complex zeros?
Answer:
D
Step-by-step explanation:
the Fundamental rule of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.
thus for the given cubic function of degree 3 there will be 3 zeros
the graph indicates a zero at x = 4 which is real
thus there will be 2 complex zeros.
that is the cubic function has 1 real zero and 2 complex zeros
A group of friends wants to go to the amusement park. they have $285.75 to spend on parking and admission. parking is $13.75, and tickets cost $34 per person, including tax. how many people can go to the amusement park?
Answer:
assuming they only have to pay for parking once, 8 friends can go, if each person has to pay for parking and ticket only 5 people can go, Im assuming it'll be 8 for the answer tho I hope I'm right
There are 8 people can go to the amusement park.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total amount = $285.75
Parking = $13.75
Price of ticket per person = $34.
So, money left after paying for parking
=285.75 - 13.75
= 272
Now, number of people in amusement park
= 272/34
=8
Hence, 8 people can go to the amusement park.
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Which equation would you use to solve the following situation?
If everybody on the team scores 6 points, and the team has a total of 42 points, how many people are on the team?
Answer:
6p = 42
Step-by-step explanation:
If everybody scores 6 then the possible equation could be 6p = 42.
p represents the people on the team.
Solve for the variable p:
6p = 42
6p/6 = 42/6
p = 7
There are 7 people on the team.
hope this helps and is right!! p.s. i really need brainliest :)
What is the trigonometric ratio for cosn? enter your answer, as a simplified fraction, in the boxes. $$ triangle l m n with right angle m. l m equals 15. l n equals 39. m n equals 36.
The trigonometric ratio will be Cos(n)=12/13
What will be the trigonometry ratio?Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.
Given are the sides LM = 15, MN = 36, and LN = 39.
It says to find cos(n) = ?
So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.
We know that the cosine ratio is given by :-
[tex]Cos(n)=\dfrac{adjacent}{Hypotenuse}[/tex]
[tex]Cos(n)=\dfrac{MN}{LN}[/tex]
[tex]Cos(n)=\dfrac{36}{39}[/tex]
[tex]Cos(n)=\dfrac{12}{13}[/tex]
Hence the required ratio will be [tex]Cos(n)=\dfrac{12}{13}[/tex]
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Number two and explain
Step-by-step explanation:
It should be tan(k)=32/40
Tangent is opposite/adjacent and 24/32 is adjacent/opposite which is not a trig function.
Anthony's sink is shaped like a half-sphere, and it has a volume of 512π cubic inches. It is completely full of water, and he has two different cylindrical cups he can use to scoop it out.
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him to empty his sink using each cup?
In your answer, give the number of cupfuls it will take to empty the sink using each cup, and then explain how you calculated it.
By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.
How many times do he need to use each cup?The volume of the sink is 512π in^3.
The blue cup is a cylinder of diameter = 4 in and a height = 8 in, then its volume is:
V = π*(4in/2)^2*8in = 32π in^3
The number of times that he needs to use this cup is given by:
N = (512π in^3)/(32π in^3) = 512/32 = 16
He needs to use 16 times the blue cup.
The green cup has a diameter = 8in and a height = 8in, then its volume is:
V' =π*(8in/2)^2*8in = 128π in^3
The number of times that he must use this cup is:
N' = (512π in^3/ 128π in^3) = 512/128 = 4
He needs to use 4 times the green cup.
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Use the ordered pairs below. (10,20), (11, 21), (12, 22) What patterns are used to create the ordered pairs?
Answer:
Add 1 unit to the X coordinates and Y coordinates for each new pair.
step-by-step explanation:
X: 10 + 1 = 11 + 1 = 12
Y: 20 + 1 = 21 + 1 = 22
Find the values of the mode when median is given to be 5 and mean is 7.
Answer:
Mode = 1
Step-by-step explanation:
Relation between the Central Measures of Tendency
Mean, Median, and Mode are commonly referred to as the Central Measures of TendencyThe formula between the three is given by :⇒ Mode = 3Median - 2Mean or Mode + 2Mean = 3MedianSolving
We know that :Median = 5Mean = 7Therefore,
Mode = 3(5) - 2(7)Mode = 15 - 14Mode = 1[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
We know the relation between mean, Median and mode. that is :
[tex]\qquad \sf \dashrightarrow \:mode = 3 \: median - 2 \: mean[/tex]
now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \:mode = 3(5) - 2(7)[/tex]
[tex]\qquad \sf \dashrightarrow \:mode = 15 - 14[/tex]
[tex]\qquad \sf \dashrightarrow \:mode = 1[/tex]
Hence, value of mode is 1