[tex]|\Omega|=45\cdot44=1980\\|A|=15\cdot14\cdot3=630\\\\P(A)=\dfrac{630}{1980}=\dfrac{7}{22}\approx31.8\%[/tex]
Question. 1 :
In ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Question
2.
If Sin A = 3/4, Calculate cos A and tan A.
AB= 24cm
BC = 7cm
<B = 90°
AC = ?
Using Pythagoras theorem :-AC^2 = AB^2 + BC ^ 2
AC^2 = 24^2 + 7^2
AC^2 = 576 + 49
AC^2 = √625
AC = 25
Answer to Question 2 :-sin A = 3/4
CosA = ?
TanA = ?
SinA = Opp. side/Hypotenuse = 3/4(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)
Using Pythagoras theorem :-AC^2 = AB^2 + BC ^ 2
4² = AB² + 3²
16 = AB + 9
AB = √7cm
CosA = Adjacent side/Hypotenuse= AB/AC
= √7/4
TanA= Opp. side/Adjacent side=BC/AB
= 3/√7
Which function is a translation of the parent absolute value function?
f(x) = 2|x|
f(x) = |x+61
f(x) = |x|
F(x) = -4|x|
f(x) = | x + 61 | function is a translation of the parent absolute value function.Option B is correct.
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
A single vertical parenthesis separating the equation on either side identifies an absolute value function. Option B is the only one with this indication.
B. f(x) = | x + 61 |
There are two ways to answer this equation;
1.f(x) = - (x + 61)
2.f(x) = x + 61
Hence,f(x) = | x + 61 | function is a translation of the parent absolute value function.
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The listed price of the phone was $43, but the price with tax came to $46.87. Find the percent sales tax.
Answer:
9%
Step-by-step explanation:
(final - initial )/ initial * 100
3.87 / 43 * 100
= 9%
Which grid shows the product of 0.3 x 3?
Answer:
third grid
Step-by-step explanation:
.3×3=.9, as that is just .3 + .3 + .3
The third grid has 9/10 boxes colored, which is the same as .9
Hope this helps! :)
find the surface area of the rectangular prism
Answer:
that is cuban that answer is easy (200)=1902
What is the volume of the rectangular prism?
A prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.
16 in.3
22 and one-half in.3
200 in.3
212 and one-half in.3
Volume is a three-dimensional scalar quantity. The volume of the rectangular prism is 200 in³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the rectangular prism of the length of 8 inches, the width of 2 inches, and the height of 12 1/2 inches can be written as,
The volume of the rectangular prism = 8in × 2in × 12.5in
= 200 in³
Hence, The volume of the rectangular prism is 200 in³.
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12 / 3 + 6 x 2? can anyone help?
Answer:
16
Step-by-step explanation:
12 divided by 3 = 4 and 6*2 = 12
12+4=16
The value of this answer is 16
To solve this expression, we will apply the properties of mathematical operations.
- First, we multiply or divide
- Second, we subtract or add
Resolution
12/3 + 6 x 2
4 + 6 x 2
4 + 12
16
So, the correct value is 16
Steve is a single man whose salary is $92,000 per year. Based on the tax table
below, how much does he need to contribute to his employer's 401(k) in order to
fall in a tax bracket lower than the one he is currently in?
The amount that he needs to contribute to his employer's 401(k) in order to fall in a tax bracket will be $9750.
How to calculate the tax?From the information given, Steve is a single man whose salary is $92,000 per year. Based on the tax table below, the amount that he needs to contribute to his employer's 401(k) in order to
fall in a tax bracket will be:
= $92000 - $82250
= $9750
Therefore, the amount is $9750
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E Homework: 3.1 Homework
Evaluate the function f(z) = 3z-8 at the indicated values.
a) Find f(-4).
1
b) Find f
2
c) Find f(z-7).
a) f(-4)=
(Simplify your answer. Type an integer or a simplified fraction.)
THINGS
Replace z with the number inside the parenthesis:
f(z) = 3z-8
a. 3(-4) - 8 = -12-8 = -20
b. 3(1/2)-8 = 1 1/2 - 8 = -6 1/2
c. 3(z-7) - 8 = 3z-21-8 = 3z-29
The table represents a linear function.
X
y
-4
-2
-2
-10
-1
-14
1
-22
2
-26
What is the slope of the function?
O-8
0-4
02
05
Answer:
-4
Step-by-step explanation:
Consider (-4, -2) and (-2, -10).
Change in x: 2
Change in y: -8
Slope = (change in y)/(change in x) = -4
The slope of the function is -4.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Let us take two points from the table
(-4, -2) and (-2, -10)
Slope = -10+2/-2+4
=-8/2
=-4
Hence, the slope of the function is -4.
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18. Identify the constant term in the algebraic expression
*
A.-1
B. 1
C. -2
D. 2
Answer:
A.-1 is the constant termConstant term of an algebraic expression: A term of an algebraic expression which has a fixed numerical value in all situations and does not have any variable is called the constant term of an algebraic expression.
For examples, in the algebraic expression 5x + 2y + xy + 10, 10 is the constant term of the expression. therefore from the above algebraic expression 2x²+x-1, -1 will be the constant term
Evaluate the expression 3.2-4
Answer: -0.8
Step-by-step explanation:
3.2 - 4 = -0.8
Paper clips: a) one box of 100 for $0.38 or b) five-pack of 100 each for $1.27.
Answer:
b)
Step-by-step explanation:
because there will be more
I need help please anyone ?!!!
The manager at a ice cream shop keeps track of the number of deluxe cones and regular cones sold each day and the total money received. On Wednesday, a total of 86 cones were sold, and the money collected was $534. If deluxe cones are sold for $9 and regular cones are sold for $5, how many deluxe cones and regular cones were sold?
Give your answer as an ordered pair (x,y), where x is the number of deluxe cones and y is the number of regular cones.
The number of regular cones sold on Wednesday is 60, while the number of deluxe ones sold is 26.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of regular cones sold be x, and the number of Deluxe cones sold be y. Therefore, total number of cones sold can be written as,
x + y = 86
x = 86 - y
Now, the total money collected can be written as,
5x + 9y = 534
5(86 - y) + 9y = 534
430 - 5y + 9y = 534
4y = 104
y = 26
substitute the value of y in the first equation,
x = 86 - 26
x = 60
Hence, the number of regular cones sold on Wednesday is 60, while the number of deluxe ones sold is 26.
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Part a Paula ran 3 1/4 kilometers. Omar ran 4,200meters. Who ran farther and by how much?
Part b what is the total number of centimeters Omar and Paula ran? Pls. Help
Omar ran farther than Paula by 950 meters. The total distance covered by Omar and Paula is 745000 centimeters.
What is the conversion of a unit?The conversion of a unit from one dimension to another takes a standard approach. Here, we will be looking at conversion from kilometers and meters and meters to centimeters.
Given that:
Paula ran 3 1/4 kilometers = (13/4 × 1000) meters = 3250 metersOmar ran 4200 metersThus, It implies that Omar ran farther than Paula by 950 meters.
The total number of distance covered = (3250+ 4200) meters
= 7450 meters
= 745000 centimeters.
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Help, forgot how to do this, and need to answer asap
Answer:
(a)12
(b)28
(c)1
Step-by-step explanation:
the dots on the plot for a and b and for c It's almost exactly a whole hour decrease of HW a student is likely to do for every extra hour a student watches TV
What is the exact value of cos (7pi/8)
Answer:
The bottom one ....see below
Step-by-step explanation:
Using reference angle of pi/8 and half angle trig identity:
cos ( angle/2) = -sqrt (1 + cos (angle) /2)
cos ( pi/4 / 2) = - sqrt (1+ cos ( pi/4)/2)
cos (pi/8) = - sqrt (1 + sqrt (2) / 2)
= - sqrt (1 + sqrt 2) / sqrt 2 rationalize the denominator
= - sqrt ( sqrt 2 + 2) / 2
re arrange to
- sqrt ( 2 + sqrt2) / 2 the fourth answer
Subtract -2x-10from 10x^2+3
Answer:
10x^2+2x+13
Step-by-step explanation:
10x^2+3 - (-2x-10)
10x^2+3 +2x+10
10x^2+2x+13
Which composition of similarity transformations maps polygon ABCD to polygon A’B’C’D’
Hey there!
Unless the smaller object was rotated 360° (in which case the rotation wouldn't have to be mentioned), you can see that all of the lines are still in the same place and that it wasn't rotated at all. This eliminated any answer option that mentions a rotation, which is A and C.
Also, if you count the units of one of the straight lines – for example, line AB and A'B' – you can see that the smaller object is four times smaller than the larger object. In the case of line AB and A'B', line AB is 8 units long and A'B' is 2 units long. This means that the scale factor is [tex]1[/tex].
Lastly, the smaller object was moved from its initial location, which would be in the center of the larger object if it wasn't moved after being scaled down.
The answer will be, "a dilation with a scale factor of [tex]1[/tex] and then a translation."
Hope this helped you out! :-)
Graph (x-2)^2 + (y-1)^2 = 9
Step-by-step explanation:
Given the following question:
[tex](x-2)^2+(y-2)^2=9[/tex]
First thing we need to keep in mind is the fact that this graph is indeed a circle. We know this because we are adding two cubic roots to each other which makes the graph a circle. We know the two separate functions are cubic roots because they each have an exponent of two. Not only is this function whose graph is a circle, but the midpoint of this circle is (2,2).
Hope this helps.
which is the correct domain and range for this graph?
Answer: B
Step-by-step explanation:
The domain is the set of x values, and the range is the set of y values.
If f(x) = ex and g(x)=x-4, what is (gof)(x)?
[tex](g\circ f)(x)\\\\=g(f(x))\\\\=g(x-4)\\\\=e^{x-4}[/tex]
Find the μ and o for the below data set. Is there an outlier?
15, 75, 88, 92, 100
The population mean (μ) is: 74
The standard deviation (σ) is: 30.6
There is an outlier, 15.
How to Find the Population Mean (μ) and the Standard Deviation (σ)?Population mean (μ) = sum of data points / number of data points
Standard deviation (σ) = √(sum of squares/number of data points) = √(SS/n)
Given the data, 15, 75, 88, 92, 100:
Population mean (μ) = (15 + 75 + 88 + 92 + 100)/5 = 74
Standard deviation (σ) = √(4678/5)
σ = √935.6
σ = 30.6
15 is more smaller compared to most of the data points in the data, so, it is an outlier.
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6/(x^2-3x)=12/x+1/(x-3) with full expanation from the internet
Answer:
[tex]x=\dfrac{42}{13}[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{6}{(x^2-3x)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]
Factor the denominator on the left side:
[tex]\implies \dfrac{6}{x(x-3)}=\dfrac{12}{x}+\dfrac{1}{(x-3)}[/tex]
Combine the fractions on the right side by multiplying by the LCM:
[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12}{x} \cdot \dfrac{(x-3)}{(x-3)}+\dfrac{1}{(x-3)} \cdot \dfrac{x}{x}\\\\& =\dfrac{12(x-3)}{x(x-3)}+\dfrac{x}{x(x-3)}\\\\& =\dfrac{12(x-3)+x}{x(x-3)} \end{aligned}[/tex]
As the denominators are now the same on both sides:
[tex]\begin{aligned}\implies \dfrac{6}{x(x-3)} & =\dfrac{12(x-3)+x}{x(x-3)}\\\\ \implies 6 & = 12(x-3)+x\end{aligned}[/tex]
Simplify and solve for x:
[tex]\begin{aligned}\implies 6 & = 12(x-3)+x\\\\6 & =12x-36+x\\\\6 & =13x-36\\\\13x & =42\\\\\implies x & =\dfrac{42}{13}\end{aligned}[/tex]
A car purchased for $15,000 depreciates under a straight-line method in the
amount of $950 each year. Which equation below best models this
depreciation?
A. y = 15000x-950
OB. y = 15000 +950x
OC. y = 15000-950x
OD. y = 15000x+950
Answer:
i can't send full page of it sorry
The equation y = 15000 - 950x best models the depreciation.
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The equation y = 15000 - 950x.
Here, y represents the value of the car after x years.
The initial value of the car is $15,000, which means the value of the car at x = 0 is $15,000.
The car depreciates by $950 each year, so after one year, the value of the car will be $15,000 - $950 = $14,050.
After two years, the value of the car will be $14,050 - $950 = $13,100, and so on.
This linear relationship between the value of the car and the number of years can be modeled by the equation y = 15000 - 950x,
where 15000 is the initial value and -950x represents the amount of depreciation each year.
Thus,
The equation y = 15000 - 950x best models the depreciation.
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Determine a matriz x sabendo que:
(1 5) * X ( 6 8)
Answer:
es esta 1/5 y 6/8 o 15 y 68?
Solve for x in the triangle. Round your answer to the nearest tenth.
X
9
64°
Answer:
x = 23.0
Step-by-step explanation:
To solve, you have to make the equation:
[tex]cos(64)=\frac{9}{x}[/tex]
Now multiply x to both sides:
[tex]cos(64)*x=9[/tex]
Next divide both sides by cos(64):
[tex]x=\frac{9}{cos(64)}[/tex]
x = 22.9675486404
Round to the tenth:
x = 23.0
Hope it helps and have a nice day!
The height of Canadian women was distributed normally with a mean of 161 cm
and a standard deviation of 6 cm. Determine the likelihood that a Canadian woman chosen
randomly will have a height that is between 158 cm and 163 cm.
Includes a sketch of the region under the curve below.
2014
b) The probability that a Canadian woman's height will be larger than x cm is 1%.
Determine x, to the nearest centimeter.
The probability of having a height that is between 158 cm and 163 cm is 0.69011 and the value of x is 169 centimeters
The probability of having a height that is between 158 cm and 163 cmThe given parameters are:
Mean = 161Standard deviation = 6Calculate the z-scores at x = 158 and x = 163 using:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So, we have:
[tex]z = \frac{158 - 161}{6} = -0.5[/tex]
[tex]z = \frac{163 - 161}{6} = 0.33[/tex]
The probability is then represented as:
P(158 ≤ x ≤ 161) = P(-0.5 ≤ z ≤ 0.33)
Using the z table, we have:
P(158 ≤ x ≤ 161) = 0.69011
Hence, the probability of having a height that is between 158 cm and 163 cm is 0.69011
The value of x in the probabilityThe probability is represented as:
P(X ≥ x) = 1%
Express as decimal
P(X ≥ x) = 0.10
The z-score at p = 0.10 is:
z = 1.282
Substitute z = 1.282 in [tex]z = \frac{x - \mu}{\sigma}[/tex]
[tex]1.282 = \frac{x - \mu}{\sigma}[/tex]
Make x the subject
[tex]x = 1.282\sigma + \mu[/tex]
Substitute values for standard deviation and mean
x = 1.282 * 6 + 161
Evaluate
x = 168.692
Approximate
x = 169
Hence, the value of x is 169 centimeters
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HELP. ME. PLEASE.
.....................................
Answer:
it's C just did the quiz and go it right