Answer:
1.5×2.5/2=1.875.
Step-by-step explanation:
We all know that area of triangle is base into hight upon 2.
How to factorise completely please help this is algebra
(a) (x-12)(x+11)
(b) x³-4x=x(x²-4)=x(x-2)(x+2)
Simplify this expression √x4y12
Answer:
4[tex]\sqrt{3xy}[/tex]
Step-by-step explanation:
4 is a perfect square. We can pull 2 out from under the square root symbol.
The prime factor of 12 is 2.2.3. We can pull another 2 outside of the square root symbol. 2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.
What is 0.08 written as a fraction in simplest form?
Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
Each "place" in the decimal, can be represented with a base 10 in the numerator.
For example the "tenths" place can be represented as: [tex]\frac{a}{10^1}[/tex] where a=decimal.
The hundredths place can be represented as: [tex]\frac{a}{10^2}[/tex]
The thousandths place can be represented as: [tex]\frac{a}{10^3}[/tex]
and so on...
In this case, we have a decimal in the hundredths place which can be represented as: [tex]\frac{8}{10^2} = \frac{8}{100}[/tex]. Now to simplify this fraction, you simply divide both sides by 4 (greatest common factor of 8 and 100), or in other words multiply it by 0.25/0.25 which is just 1, so the value is the same. [tex]\frac{8}{100} * \frac{0.25}{0.25} = \frac{2}{25}[/tex]
Graph f(x) = 2 sin x.
Use 3.14 for π.
Please see the picture below
need help finding x.
Answer:
x = 6
Step-by-step explanation:
• the diagonals of a parallelogram bisect each other , then
5x + 11 = 4x + 17 ( subtract 4x from both sides )
x + 11 = 17 ( subtract 11 from both sides )
x = 6
Since it's divided equally diagonally, 4x+17 and 5x+11 are equal.
Let's set them equal to each other and solve.]
[tex]4x+17=5x+11[/tex]
Subtract 4x from both sides to combine like terms.
[tex]17=x+11[/tex]
Now subtract 11 from both sides to isolate the variable and solve for x.
[tex]6=x[/tex]
Flip the equation to put in standard form and now you have x :)
[tex]x=6[/tex]
hope this helped!
Please help !!! Need help !!!
In your own words, define the unit rate in an equation of proportional relationship y= kx.
Answer:
hdchyf
Step-by-step explanation:
fhyrb ufgfyg hchybgvtct ugh
Please this is urgent!
The perimeter of a regular octagon is
8 times the length of one side.
A 6 character computer password is made up of 4 numbers followed by 2 letters. How many different passwords are possible?
Answer: 6,760,000
Step-by-Step Explanation:
Ebony's bank balance 1st reached $400 on Day 4. The last day her balance was $400 was Day 8.
(a) Determine
B(5), B(6), and B(7). Explain how you determined these amounts.
Explain how you determined these amounts.
(b) Estimate
B(1), B(2), and B(3)
(c) Jade said that the amount of money Ebony took out of her account each day between Day 8 and Day
12 was the same amount of money she put into her account each day between Day 0 and Day 4.
Recall that Day 12 is when the balance first reached $0. Without doing any calculations, how could
you show Jade why that cannot be true?
Ebony’s bank balance is $400 was Day 8 and this can be explained below.
How to explain the information?Jade cannot be true because for every transaction made during withdraws, a little amount of money is collected and as such the amount will never remain $400.
Note that the scenario for the above to occur is:
On day 4, her balance = $400
On day 5, her balance = $40
On day 6, her balance = $400
On day 7, her balance = $400
On day 8, her balance = $400
Another fact is that since she deposited 400 at first, on day 8, there will be a 0 increase so the amount will still be 400.
Therefore, if the above is the case, one can deduce the fact that her balance will still be $400.
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How many solutions can be found for the equation 4z 2(z − 4) = 3z 11? none one two infinitely many
There is only one solution for the equation 4z + 2(z -4) = 3z + 11 because the exponent for the power of z is 1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
What is the Solution?A solution is any value of a variable that makes the specified equation true.
According to the given information:
4z + 2(z-4)= 3z+11
Solve the equation,
4z+2z-8=3z+11
6z-3z=11+8
3z =19
z=
Hence,
Number of solution that can be found for the equation 4z + 2(z-4)= 3z+11 is option(2) one
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.Which statement is true about two ordered pairs
that are the same except for the signs of the
numbers?
A. Their points are reflections.
B. Their points are on the horizontal axis.
C. Their points are on the vertical axis.
D. Their points are in different quadrants.
Answer
The statement that is true about two ordered pairs that are the same except for the signs of the numbers is their points are in different quadrants. Option D
What are ordered pairs?Ordered pairs are known to be pairs of numbers that are used locate a point in the rectangular coordinate plane
They are written as (x ,y)
where
x is the x-coordinate y is the y-coordinateIt is important to note that the location of the ordered pair in the quadrants determines the sign of the x and y coordinates.
The signs of the ordered pairs are given as;
When (x , y) is in Quadrant I then both x and y are positive
(x , y) is in Quadrant II then x is negative and y is positive (x , y) is in Quadrant III then both x and y are negative (x , y) is in Quadrant IV then x is positive and y is negativeTherefore, the statement that is true about two ordered pairs that are the same except for the signs of the numbers is their points are in different quadrants. Option D
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The university theatre department is selling tickets to their
upcoming performance. Three senior citizen tickets and one
student ticket were sold for $38. Three senior citizen ad two
student tickets were sold for $52. Determine the cost of a
senior citizen ticket, x and the price of a student ticket, y. Write
your answer as an ordered pair (x,y).
Answer:
(8,14)
Step-by-step explanation:
3x+2y=52
3x+1y=38 Subtract these equations using elimination method to get y=14
Then substitute y=14 to either equation
the bottom one is easier so
3x+1(14)=38 distribute 1 to 14 and any number times one is 1
3x+14=38 Subtract 14 from both sides
3x=24 Divide by 3
x=8 so check now
3(8)+1(14)=38
24+14=38?
38=38? yes
Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12, -4, 6}
The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.
How to determine the range of a function?Given: 12x + 6y = 24
Here x stands for the input and y stands for the output
Replacing y with f(x)
12x + 6f(x) = 24
6f(x) = 24 - 12x
f(x) = (24 - 12x)/6
Domain = {-4, 0, 5}
Put the elements of the domain, one by one, to estimate the range
f(-4) = (24 - 12((-4))/6
= (72)/6 = 12
f(0) = (24 - 12(0)/6
= (24)/6 = 4
f(5) = (24 - 12(5)/6
= (-36)/6 = -6
The range exists {12, 4, -6}
Therefore, the correct answer is option c. {12, 4, -6}.
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To gain a pass a student needs to achieve a mean of at least 60% in eight tests. In the first seven
tests the student achieved a mean of 54%. What percentage must the student achieve in test eight
if they are to pass the course?
Step-by-step explanation:
the mean value is the sum of all data points divided by the number of data points.
first we have 7 tests and their mean value :
(t1 + t2 + t3 + t4 + t5 + t6 + t7) / 7 = 54
that means
(t1 + t2 + t3 + t4 + t5 + t6 + t7) = 54 × 7 = 378
in order for the mean value to be at least 60% after 8 tests, we need to add a t8, so that
(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) = 60 × 8 = 480
because only then we have
(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) / 8 = 60
and the student passes.
so,
(t1 + t2 + t3 + t4 + t5 + t6 + t7) + t8 = 480
378 + t8 = 480
t8 = 480 - 378 = 102%
the student would have to achieve 102% on the 8th test.
which would be normally impossible, but maybe the tests involve some bonus points.
The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as to manufacturers of cellular phones, is the effect on accident rates. Is someone who is using a cellular phone more likely to be involved in a traffic accident? What is your conclusion from the following sample information? Use the 0.05 significance level.
The conclusion based on the hypothesis is that do not reject the null hypothesis as the row an column factors are independent.
How to make the conclusion?From the information given, the null hypothesis is that the row and the column factors are independent. The alternative hypothesis is that they're dependent.
This was run by using the Chi square test and the following information was gotten:
Test statistic = 2.5234
P- value = 0.1122
Degree of freedom = (2-1)(2-1) = 1
Since the p value is equal to 1%, do not reject the null hypothesis as the row an column factors are independent.
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Answer and explanation in the attached file.
help me with this please
Answer:
48
Step-by-step explanation:
The area of this circle is
[tex]\pi( {4}^{2} ) = 16\pi = 50.27[/tex]
about 50.27 square centimeters. So 48 square centimeters seems reasonable here since 3 is used for π.
Dexter has plotted the line shown in red.
What is the slope of the line?
-8-6-4-2
CA
€
10
O
Answer:
-1/3
Step-by-step explanation:
1:make y the subject.
2:slope of line is the coefficient of x
What is the answer please
Answer:
m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131
m∠RST = 2x = 2(14) = 28
m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103
Step-by-step explanation:
m∠RSU = m∠RST + m∠TSU
10x - 9 = 2x + (2x + 75)
10x - 9 = 2x + 2x + 75
10x - 9 = 4x + 75
-4x +9 -4x +9
6x = 84
x = 14
m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131
m∠RST = 2x = 2(14) = 28
m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103
the graph of y=-3x+ 2 is:
Geometry: complete this proof, ASAP!!!
Answer:
1. Given
2. Triangle Interior Angle Sum Theorem
3. Substitution Property of Equality
4. Subtraction Property
5. Definition of Complementary Angles
Directions: Simplify the following expressions using the imaginary number.
1. V-5
2. √-49
3. -3√-9
4. -8√-64
5. -√-50
6.-2√-12
7.5√-12
8. V-8
9. 3√-7
10. -3√-200
Answer:
1 i(sqrt5)
2 7i
3 -9i
4 -64i
5 -5i(sqrt2)
6 -4i(sqrt3)
7 10i(sqrt3)
8 2i(sqrt2)
9 3i(sqrt7)
10 -30i(sqrt2)
Step-by-step explanation:
i is the square root of (-1). We can simplify each one as such.
help please. which one is right?
Answer: B
Step-by-step explanation: If it goes through a point, flip that point around and that is the point of the inverse. Do that for multiple points to get your answer, which is B
Three hens lay 3 eggs any 3 days. in how many days will 3n hens lay at this rate 9nk eggs
Answer: is 48 eggs .
Step-by-step explanation:
3 hens gives 3 eggs in 3 days
Therefore , 1 gives 1 egg in 3 days
So
3days = 1egg
After that 12 days\/3 times = 4 eggs (in 12 times )
So 1 hen offers 4 eggs in 12 days after that
12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)
June and Angad have played 30 tennis matches.
June has won 14 times.
Angad won the rest.
a) Estimate the probability that June wins.
b) Estimate the probability that Angad wins
Answer:
The file contains the solution to the question
The go fish game tank contains 30 fish the probability of catching a purple fish is 1/3 the probability of catching a green fish
Answer:
2/3
Step-by-step explanation:
since they are just two colors of fish inside, since the probability is always 1.. so we have to minus 1/3 from 1,which is 1-1/3=2/3
Solve this inequality and write the solution using interval notation:
The solution to the inequality in discuss involving a rational expression as indicated in the task content is; t (9, infinity).
What is the solution to the inequality as indicated in the task content in which case, the solution is expressed using interval notation?The inequality given in the task content as evident is; (2t +22)/(2t +2) <= 2.
On this note, the inequality can be solved by cross-multiplication as follows;
2t +22 <= 4t +4
Hence, we have;
-2t <= -18
t >= 9.
Hence, when expressed as an interval notation, we have; t (9, infinity).
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If the first two angles of a triangle measure 45° and 111°, what does the third angle measure?
Answer:
third angle measures 24°
Step-by-step explanation:
triangles are 180°
add up the first two angles and subtract the sum from 180°
45° + 111° = 156°
180 - 156 = 24
A population has a mean of 94 and a standard deviation of 18. A sample of 36 observations will be taken. The probability that the sample mean will be between 89.17 and 101.05 is _____. a. 0.9463 b. 0.4369 c. 0.0094 d. 0.9369
The probability that the sample mean will be between 89.17 and 101.05 is: 0.940091407
A sample mean is a data set's average. A data set's central tendency, standard deviation, and variance may all be calculated using the sample mean.
The sample mean may be used to calculate population averages, among other things.
What is the calculation that supports the above answer?The information given are as follows:
μ = 94,
σ = 18
Where Χ = Sample Mean
hence P (89.17 < X< 101.05) =
P [[tex]\frac{89.17 -94}{18/\sqrt{36} } \leq \frac{X -mu}{sd/\sqrt{xn} } \leq \frac{101.5-94}{18/\sqrt{36} }[/tex]]
= P [ -1.61 ≤ Z ≤ 2.5]
= P (Z ≤ -1.61) - P (Z ≤ 2.5)
= NORMSIDST (-1.61) - NORMSDIST (2.5)
= 0.053698928 - 0.993790335
= -0.940091407
Since probability cannot be negative,
The probability that the sample mean will be between 89.17 and 101.05 is: 0.940091407
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A pedestal for a statue is made with 405 cubic feet of concrete. a rectangular prism with a height of 9 feet. what is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet
45 square feet is the area of the base of the pedestal.
what is rectangular prism?
A rectangular prism is a 3D figure with 6 rectangular faces. To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.we know that
The volume of the pedestal (rectangular prism) is given by the formula
V = B × h
where
B is the area of the rectangular base of pedestal
V = 405 ft³
h = 9 ft
put the given values in the formula and solve for B
405 = B × 9
B = 405/9
B = 45 ft²
Therefore, 45 square feet is the area of the base of the pedestal.
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