Step-by-step explanation:
csc(4x) − 2 = 0
csc(4x) = 2
sin(4x) = 1/2
In radians:
4x = π/6 + 2kπ, 5π/6 + 2kπ
x = π/24 + kπ/2, 5π/24 + kπ/2
In degrees:
4x = 30° + 360°k, 150° + 360°k
x = 7.5° + 90°k, 37.5° + 90°k
HEEEEEEELLLLLLLPPPPPP!!!! Given the following perfect square trinomial, find the missing term: x2 − 16x + ___ 8 16 32 64
Answer:
64
Step-by-step explanation:
(x-8)^2
derived from the middle term divided by 2
Answer:
64
Step-by-step explanation:
x^2 − 16x + ___
Complete the square
Take the coefficient of the x term
-16
Divide by 2
-16/2 = -8
Then square it
(-8)^2 = 64
A box contains 20 equal-sized balls, numbered 1 to 20. Two balls are drawn at random simultaneously. What is the probability that the numbers on the two balls will differ by more than 2
Answer:
P = 0,7947 or 79,47%
Step-by-step explanation:
We have 20 balls, the total possible outcomes drawn two balls simultaneously is:
C = m! /n! *( m - n )!
C = 20!/2! *( 20 - 2)!
C= 20*19*18!/ 2* 18!
C = 20*19/2
C = 190
Now the number of successful outcomes x ( those where balls differ by more than 2 is)
x = total numbers of outcomes - 20 ( outcomes differing in 1 ) - 19 (outcomes differing in 2 )
x = 190 - 39
x = 151
Then the probability of drawing tw balls with numbers differing n mr than two is
P = successful outcomes / total outcomes
P = 151/190
P = 0,7947 or 79,47%
The circle shown above has a radius of 5 units, and the central angle of the sector that is shaded is 25π radians. Determine the area of the shaded sector, in terms of π. Enter the area of the sector.
Answer:
The answer is below
Step-by-step explanation:
Given that:
The radius of the circle (r) = 5 units
The central angle (θ) = 25π
A sector of a circle is the portion of a circle made up of two of its radii and an arc. The area of a sector that subtends with a central angle (θ) and a radius (r) is given by the formula:
[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2[/tex]
Substituting the radius of the circle and the central angle:
[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2\\\\Area\ of\ sector=\frac{25\pi}{360} *\pi (5)^2\\\\Area\ of\ sector=\frac{125\pi^2}{72}[/tex]
. (08.01 MC) 1. Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (4 points) 2.(08.01 MC) Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank). (4 points)
Answer:
602.88 in³
12
Step-by-step explanation:
Formula for volume of a cylinder = πr² · h
radius (r) = 1/2(diameter)
1. Set up the equation
radius = 4
(3.14)(4²)(3·4)
2. Solve
3.14(16)(12) = 602.88 in³
Formula for volume of a cone = 1/3πr² · h
The formula of a cone is 1/3 the volume of a cylinder. Therefore, a cone that fits perfectly within the dimensions of a cylinder would have a volume equal to 1/3 of the volume of the cylinder.
1. Set up the equation and solve
36 ÷ 3 = 12
can u help me. if answer is correct, i will give u brainliest
Answer:
135 units²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
To calculate h use Pythagoras' identity on the right triangle on the left
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15 , thus
A = 9 × 15 = 135 units²
Each child in a certain class is required to have school supplies of 1 notebook and 2 pencils. One notebook costs $1.09 and one pencil costs $0.59. With $15, what is the maximum number of children that can be provided with the required supplies? (Assume no tax.) Will mark Brainlist
Answer:
6 children
Step-by-step explanation:
Given
[tex]1\ Pencil = \$0.59[/tex]
[tex]1\ Notebook = \$1.09[/tex]
Required
Determine the number of students that can get pencils and notes worth $15
First, we need to calculate the amount that can be allotted to a child
[tex]1\ child= 1\ Notebook + 2\ Pencils[/tex]
[tex]1\ child= 1 * \$1.09 + 2 * \$0.59[/tex]
[tex]1\ child= \$1.09 + \$1.18[/tex]
[tex]1\ child= \$2.27[/tex]
From the given parameters, we have that
[tex]n\ children= \$15[/tex]
Where n is the number of child
Represent both as ratios;
[tex]1 : 2.27 = n : 15[/tex]
Convert to division
[tex]\frac{1}{2.27} = \frac{n}{15}[/tex]
Multiply both sides by 15
[tex]15 * \frac{1}{2.27} = \frac{n}{15} * 15[/tex]
[tex]\frac{15}{2.27} = n[/tex]
[tex]6.608 = n[/tex]
[tex]n = 6.608[/tex]
Because "a child" is discrete, we have to round down the above figure to
[tex]n = 6[/tex]
Hence, the maximum number of children that can be provided with supplies worth $15 is 6
describe the type of correlation between two variables on a graph
Answer:
We often see patterns or relationships in scatterplots. When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.
Step-by-step explanation:
plz mark as brainlist
The correlation between two variables on a graph gives the relationship between those variables. Depending on the nature of these variables plotted on the graphs, the correlation is named.
What is meant by correlation?In a scatterplot, the data points of an individual with two distinct variables are related. This relationship is called 'correlation'. The relationship between any two variables plotted on any graph is named to be a correlation.Depending on the type of relation between the variables, the correlation is categorized into three major types. They are
i) Positively correlation
ii) Negative correlation
iii) No correlation
What is meant by positively correlated?The variables plotted on a graph are said to be positively correlated, if both the variables increase with respect to each other.E.g.: In a graph, if the values of y increase as the value of x increases, then they are said to be positively correlated.What is meant by negatively correlated?The variables plotted on a graph are said to be negatively correlated, if one of the variables increases, the other variable get decreases.E.g.: In a graph if the values of y decrease as the value of x increases, then they are said to be negatively correlated.What is meant by no correlation?The data points for the two variables are plotted randomly on the graph. If there is no relation between any two points of those two variables, then such a relation is said to be 'no correlation'.E.g.: In a graph, if the values of x and y are randomly located, then there is no correlation between them.Learn more about correlation on a graph here:
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(4) The Highest Common Factor of 35pq^2, -14pq^2 and -21p^2q^3 is
[tex]35pq^2=5\cdot7\cdot p\cdot q^2\\-14pq^2=-1 \cdot 2\cdot 7\cdot p \cdot q^2\\-21p^2q^3=-1\cdot 3\cdot 7\cdot p^2 \cdot q^3\\\\\text{hcf}(35pq^2,-14pq^2,-21p^2q^3)=7\cdot p \cdot q^2=7pq^2[/tex]
Gene is playing a game with a bag of marbles. 3 of the marbles are blue, 4 are green, and 7 are yellow. See below for awarded prizes. $2 green $0.5 yellow $4 blue What is the expected cost (or payout for Gene's game?
Answer:
$23.5Step-by-step explanation:
Gene is playing a game with a bag of marbles. If 3 of the marbles are blue, 4 are green, and 7 are yellow and awarded prices for the marbles are $2 green $0.5 yellow $4 blue, the expected payout for Gens game is expressed as shown;
If a blue marble costs $4, 3 blue marbles will cost 3*$4 = $12
If a green marble costs $2, 4 green marbles will cost 4*$2 = $8.0
If a yellow marble costs $0.5, 7 yellow marbles will cost 7*$0.5 = $3.5
Total payout for Gene's game will be the equivalent to $12+ $8 + $3.5 = $23.5.
Hence Gene expected cost will be $21.5
N. Alicia has $192 in her checking
account. She writes checks for $32, $27
and $51. What is the balance of her
account now?
Answer:
Step-by-step explanation:
82 hope this helps
For the given graph, a. describe the end behavior,
b. determine whether it represents an odd-degree or even-degree polynomial function, and
c. state the number of real zeros.
Answer:
See below.
Step-by-step explanation:
A)
The end behavior is basically how the function behaves as it approaches negative or positive infinity.
As the function approaches negative infinity, we can see that the graph is going up. In other words:
[tex]f(x)\rightarrow\infty\text{ as }x\rightarrow-\infty[/tex]
As the function approaches positive infinity, we can see that the graph is going down. In other words:
[tex]f(x)\rightarrow-\infty\text{ as }x\rightarrow\infty[/tex]
B)
In even-degree polynomials, both ends of the graph will be going the same way. In this graph, the two ends are going opposite ways so this is an odd-degree function.
C)
The number of real zeros is simply the amount of times the graph crosses the x-axis. In the graph, the function does this three times. Thus, the number of real zeros is 3.
Complete the following two-way frequency table.
Answer:
Step-by-step explanation:
Number of candies with Forest = 12
Candies containing coconut and chocolate both = Number common in coconut and the chocolate = 3
Candies which do not contain coconut but contain the chocolate = 6
Candies which contain the coconut but do not contain the chocolate = 1
Candies which neither contain the chocolate nor coconut = 2
From the given Venn diagram,
Contain coconut Do not contain coconut
Contain chocolate 3 6
Do not contain chocolate 1 2
Machine A and Machine B are each used to make 660 widgets. It takes Machine A x hours longer to produce 660 widgets than Machine B. Machine B produces y % more widgets per hour than Machine A. How long does it take Machine A to make 660 widgets?
Answer:
A. x + 100x/y
Step-by-step explanation:
Machine A= x hours longer to produce 660 widget than machine B
Machine B produces y% more widget per hour than machine A
let
b = Number of hours it takes Machine B to make 660 widgets.
Time taken for Machine A to make the 660 widgets = x + b.
Rate of Machine B = 660/b
Rate of Machine A = 660 / (x + b).
Machine B produces y% more widgets per hour than Machine A:
660 / (x + b)(1 + y/100) = 660/b
1 / (x + b)(1 + y/100) = 1 / b
Multiply both sides by (x+b)
1 + y/100 = (x + b)/b
1 + y/100 = x/b + 1
Subtract 1 from both sides
y/100 = x/b
Take the inverse of both sides
100/y = b/x
Make b the subject
100x/y = b
b=100x/y
The time taken for Machine A to make the 660 widgets is x + b = x + 100x/y.
Answer is A. x + 100x/y
The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]? There are four points connected by a curve on the graphs. The points are (0, 0), (5, 1), (9, 6), (11, 11). Two-fifths 1 2 Five-halves
Answer:
Below
Step-by-step explanation:
Let f be our function:
● f(9) = 6
● f(11) = 11
Let m be the average speed over the interval [9,11]
● m = [f(11)-f(9)] / 11-9
● m = 11-6 / 2
● m = 5 / 2
● m = 2.5
So the answer is five halves.
Answer:
5/2
Step-by-step explanation:
D on edge
Which of the following is NOT a principle of making inferences from dependent samples? Choose the correct answer below. A. The hypothesis test and confidence interval are equivalent in the sense that they result in the same conclusion. B. The t-distribution serves as a reasonably good approximation for inferences from dependent samples. C. There is some relationship whereby each value in one sample is paired with a corresponding value in the other sample. D. Testing the null hypothesis that the mean difference equals 0 is not equivalent to determining whether the confidence interval includes 0.
Answer:
D. Testing the null hypothesis that the mean difference equals 0 is not equivalent to determining whether the confidence interval includes 0
Step-by-step explanation:
Dependent samples are samples that are related to one another.
In a hypothesis test, the hypothesis test and the confidence interval are equivalent in the sense that they result in the same conclusion.
However, in an hypothesis test , we fail to reject the null hypothesis if the rejection region is greater than the t-test statistics. It is therefore crucial to understand that if the true mean is zero. the confidence interval level for the mean of differences within the lower limit and the upper limits must contain zero , which implies the mean difference and the confidence interval are equivalent.
Please answer this question now
Answer:
Surface Area = 85.75 ft²
Step-by-step explanation:
Surface area of pyramid = ½(Perimeter of triangular base * slant height of pyramid) + Area of triangular base
Perimeter of triangular base = sum of all sides of the triangular base = 5+5+5 = 15 ft
Slant height of pyramid = 10 ft
Area of triangular base = ½*base of triangle*height of triangle = ½*5*4.3 = 10.75 ft²
Plug in the above values:
Surface Area = ½(15*10) + 10.75
= (15*5) + 10.75
= 75 + 10.75
Surface Area = 85.75 ft²
Find the distance between the two points (8, 3), (0, -3)
Answer:
The answer is 10 unitsStep-by-step explanation:
The distance between two points can be found by
[tex] \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } [/tex]
where
(x1 , y1) and (x2 , y2) are the points
The distance between (8, 3), (0, -3) is
[tex] \sqrt{ ({8 - 0})^{2} + ({3 + 3})^{2} } [/tex]
[tex] = \sqrt{ {8}^{2} + {6}^{2} } [/tex]
[tex] = \sqrt{64 + 36} [/tex]
[tex] = \sqrt{100} [/tex]
We have the final answer as
10 unitsHope this helps you
You weigh six packages and find the weights to be 28, 22, 52, 25, 49, and 46 ounces. If you include a package that weighs 142 ounces, which will increase more, the median or the mean?
Answer:
Step-by-step explanation:
Original Median (28+46)/2 = 37
Original Mean (222/6) = 37
New Median (46)
New Mean (52)
Mean increases the most.
The mean will increase more.
We have weights of six packages 28, 22, 52, 25, 49, and 46.
We have to find if we include a package that weighs 142 ounces, which will increase more, the median or the mean.
What is the formula to find the Median of a set of odd number of elements (say N) ?If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position [tex]\frac{(N+1) }{2}[/tex].
If we don't include the package of 142 ounce, then -
Mean = [tex]\frac{28 + 22 + 52 + 25 + 49 + 46}{6} = 37[/tex]
Median = [tex]\frac{52 + 25}{2} = 38.5[/tex]
After including the package of 142 ounce,
Mean = [tex]\frac{28 + 22 + 52 + 25 + 49 + 46+142}{6} = 52\\[/tex]
Median = Element at [tex]\frac{(N+1) }{2}[/tex] position = 25
Hence, mean increase more.
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Write an expression for the shaded area
Answer:
4x(x+2) - x(3x+5)
Step-by-step explanation:
the area of the whole box is 4x(x+2)
to find the area of the shaded portion you have to subtract the area of the tiny box from the big box
the area of the tiny box is x(3x+5)
so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion
6a+2b-6c+4 if a=5,b=3,and c=-1
Answer:
46
Step-by-step explanation:
First, start off by substituting the values of a, b, and c, into the equation.
We know a = 5, b = 3, and c = -1, so now substitute.
6a + 2b - 6c + 4
6(5) + 2(3) - 6(-1) + 4
Now that we've substituted the values, we can solve the equation.
6(5) + 2(3) - 6(-1) + 4
30 + 6 + 6 + 4
= 46
So, the answer is 46.
I hope this helps! ôヮô
Answer:
46
Step-by-step explanation:
All you need to do is subsitute the variable with what it says the number is.
Let's first start out with 6a from the equation. We know that a= 5, so that means it wants you to multiply 6 by 5, which is 30.
Now let's do 2b. It says b= 3, so do 2 times 3. It equals 6.
So far we have 30+6-6c+4
Let's do -6c. We know that c= -1, so let's multiply -1 and -6. Negative and negative equals positive. And 6 times 1 is 6. So the outcome is positive 6.
We got 30+6+6+4
Solve.
30+6= 36
36+6= 42
And 42+4= 46. :)
order of operation
3⋅6−2+2
Answer:
18
Step-by-step explanation:
3⋅6−2+2
Use PEMDAS = Parentheses, Exponent, Multiplication, Division, Addition, Subtraction
First we multiply, then add or subtract so,
18 - 2 + 2
Now we subtract,
16 + 2
Now we add,
18
If F(x) = x - 7 and G(x) = x3, what is G(F(x))
[tex]g(f(x))=(x-7)^3=x^3 - 21 x^2 + 147 x - 343[/tex]
If 48% of the students in a certain college are female and there are 1440 female students, what is the total number of students in the college?
Answer:
3000 students
Step-by-step explanation:
If 48% of the students are female, and there are 1440 female students, we can set up a percentage proportion, assuming x is the total amount of students.
[tex]\frac{1440}{x} = \frac{48}{100}[/tex]
We can use the cross products property to find the value of x.
[tex]1440\cdot100=144000\\\\144000\div48=3000[/tex]
Hope this helped!
Mr Hamar had rupees 4,400 hie purchase 6 kg of rice at Rupess 75 for KG ,2 packets of oil at rupees 125 per packet and he gave rupees 3,300 to his wife if he divided the remaining Sum between his son and daughter equally find the share of each of them
Step-by-step explanation:
Total rupees= 4400
Price of 6kg rice = 75 x 6 = 450
Price of 2 packets oil = 125 x 2 = 250
Amount given to wife = 3300
Total = 450 + 250 + 3300 = 4000
Remaining amount = 4400 - 4000 = 400
Share of son and daughter = 400 ÷ 2 = 200
So his son and daughter both get 200
is 1+isqrt3 a complex number
Answer:
Step-by-step explanation:
Yes, due to the presence of that operator " i "
Nazia has two quarts of a 30% acid solution and four pints of a 20% acid solution. If she mixes them, what will be the concentration of the resulting solution? [1 quart = 2 pints]
Answer: Acid concentration will be 25%.
Step-by-step explanation:
Solution 1: 2 quarts(=4 pints) of a 30% acid
concentration = 0.3*4 = 1.2
Solution 2: 4 pint of a 20% acid
concentration = 4*0.2 = 0.8
Final solution: total volume = 4 pints + 4 pints = 8 pints
Final Concentration:
[tex]\frac{1.2+0.8}{8}[/tex] = 0.25
In the resulting mixture, the concentration is 25% of acid solution.
help asap will give 10 points
Answer:
False
Step-by-step explanation:
[tex]( {9}^{9} ) \times ( {9}^{ - 20} ) \\ = {9}^{9 + ( - 20)} \\ = {9}^{ - 11} [/tex]
Answer:
I'm pretty sure its false
What is the solution to the system of linear equations? Write you answer as a coordinate. 2x − y = 4 5x + 2y = 10 Show All Work !!
Answer:
(2, 0)
Step-by-step explanation:
2x - y = 4
5x + 2y = 10
Solve by elimination by multiplying the top equation by 2, so the y values will cancel out (-2y + 2y = 0)
4x - 2y = 8
5x + 2y = 10
Add them together and solve for x:
9x = 18
x = 2
Plug in 2 as x in one of the equations to find y:
2x - y = 4
2(2) - y = 4
4 - y = 4
-y = 0
y = 0
The solution is (2, 0)
factorize 12p2q -9q2
Answer:
[tex] \boxed{3q(4 {p}^{2} - 3q)}[/tex]Step-by-step explanation:
[tex] \mathsf{ 12 {p}^{2} q - 9 {q}^{2} }[/tex]
In such an expression, the factor which is present in all terms of the expression is taken out as common and each term of the expression should be divided by the common factor to get another factor.
Factor out 3q from the expression
[tex] \mathsf{ = 3q(4 {p}^{2} - 3q)}[/tex]
Hope I helped!
Best regards!
Factorization of 12p²q-9q² is 3q(4p²-3q).
What is Factorization?Factorization is defined as breaking an entity into a product of another entity, or factors, which when multiplied together give the original number.
Here, given expression is, 12p²q-9q²
Now, by factorizing this we get,
3q(4p²-3q)
Hence, required factorization is 3q(4p²-3q)
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Please answer now question
Answer:
v=168
Step-by-step explanation:
