Answer:
504 ways
Step-by-step explanation:
We know that since Sonji wants the last digit to be 7 and that numbers don't repeat, there are only 9 possibilities for the first digit, 8 possibilities for the second digit, 7 possibilities for the third digit, and 1 possibility for the fourth digit (which is 7).
Using the Fundamental Counting Principle, there are 9*8*7*1 = 504 ways for the remaining digits to be chosen.
Answer:
B. 504
Step-by-step explanation:
Have a good day!
The following table shows the total number of quizzes taken in high school. how many quizzes are taken per week?
what is pemdas? algebra 1
Answer:
p=Parentheses
e=Exponents
m=Multiplication
d=Division
a=Addition
s=Subtraction
its an order of solving a equation
grapes cost $1.68 a pound. If you buy 2.5 pounds,how much will it cost?
Answer:
Step-by-step explanation:
we know that
Solve for x
so
therefore
The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5
A convex hexagon has exterior angles of 39°, 47°, 42°, 59°, and 64°. What is the measure of an exterior angle at the
sixth vertex?
Answer: [tex]109^{\circ}[/tex]
Step-by-step explanation:
The exterior angles of a polygon add to 360 degrees, so the sixth angle measures [tex]360-39-47-42-59-64=\boxed{109^{\circ}}[/tex]
Solve question 11 for me please
Answer:
C
Step-by-step explanation:
-4x+2<6
-4x<4
x<-1
because the sign doesnt have a line under it, it is an open hole
Use the long division method to find the result when 2 x 3 + 3 x 2 + 17 x + 8 2x 3 +3x 2 +17x+8 is divided by 2 x + 1 2x+1.
Please help to prove parallelogram.
The question requests proof that WV = VR. See the definition of Mathematical proof and the explanation for the proof below.
What is a mathematical proof?Mathematical proof refers to the steps of logical arguments which are given to show that a mathematical statement is true or correct.
What is the proof that WV = VR?Note that SR ║ QT;Reason: This is given. The image is a parallelogram.
Hence, ∠PSR = ∠WVPTherefore if ΔSVR ≅ PVW;
Then WV = VR.
QED.
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A pie has a diameter of 9 inches. each slice of the pie has a central angle of 45 degrees. What is the area of each slice of pie?
Area of sector
Ø/360×πr²45/360×π(4.5)²1/8×π(20.25)7.95in²option B
Answer:
b
Step-by-step explanation:
The area of a sector is (the angle) over 360 multiplied by pi (radius) squared
This would be 45/360 pi (4.5) squared, resulting in option b.
In the discussion board, post the coordinates of the center point and the radius of a circle.
Step-by-step explanation:
coordinates of center is 0,0 there are no hints given to find radius
The Pythagorean theorem can only be used with witch type of triangle
Answer:
Right Triangles
Step-by-step explanation:
Helpppppp asappppp pls
Show your work
I’ll give brainliest!!!!!!
Answer: 3360 ft squared
Step-by-step explanation:
Short side : 30 x 14 = 420
Long side 30 x 3 x 14 = 1260
420 + 420 + 1260 + 1260 = 3360
pls give brainliest
have a nice day
Please answer quick. Will mark whoever is first brainliest. The x intercept of the line is either A. (5,0) or B. (10,0) and it’s Y intercept is either A. (0,1/20) or B (0,20)
Answer:#1 A, #2 B
Step-by-step explanation:
Heres the proof
Use the Pythagorean Theorem to find the m
14.1
X
X=
14.7
Answer:
x = 4.2
Step-by-step explanation:
14.1² + x² = 14.7²
198.81 + x² = 216.09
216.09 - 198.81 = 17.28
√17.28 = 4.15
x = 4.15
Round to nearest tenth
x = 4.2
which function is increasing on the interval (-∞, ∞)
Differentiating each function, we have for all x, unless otherwise indicated,
[tex]h(x) = 2^x - 1 \implies h'(x) = \ln(2) \, 2^x > 0[/tex]
[tex]g(x) = -4 (2^x) \implies g'(x) = -4 \ln(2) \, 2^x < 0[/tex]
[tex]f(x) = -3x+7 \implies f'(x) = -3 < 0[/tex]
[tex]j(x) = x^2 + 8x + 1 \implies j'(x) = 2x + 8 > 0 \text{ only when } x > -4[/tex]
and only h(x) has a strictly positive derivative. (A)
I need help on this urgently please thank you
Answer:
g(x) = -√(x+6)
Step-by-step explanation:
The inverse of the function y = f(x) can be found by solving for y the relation x = f(y).
__
solve for yx = f(y)
x = y^2 -6
x +6 = y^2 . . . . . . add 6
-√(x +6) = y . . . . . negative square root
The negative root produces y ≤ 0, equivalent to x ≤ 0 for f(x).
The inverse of f is g(x) = -√(x +6).
_____
Additional comment
The graph of a function and its inverse are mirror images of each other across the line y=x. This is shown in the attachment for the f(x) and g(x) in this problem.
Find the median of the following data : 9, 15, 17, 18,6, 20, 8, 5, 18, 18, 10, 5, 14, 12, 10, 7
Answer:
The median of the data is 12.
Step-by-step explanation:
The median is really just another word for the average. To find that, you add all of the numbers and divide that sum by the number of numbers there are.
9+15+17+18+6+20+8+5+18+18+10+5+14+12+10+7=192
There are 16 numbers in this data set. So, we will divide the sum by 16.
192÷16=12
I hope this helps!! :)
A music company offers a loan to buy a drum set for $1800.
-15.25% simple interest
-Equal monthly payment for 4 years.
What is the monthly payment?
The monthly payment is $____
Using it's formula, it is found that the value of the monthly payment for the loan to buy the drum set is of $50.32.
What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
P is the initial amount.r is the interest rate.n is the number of payments.In this problem, the parameters are given as follows:
P = 1800, r = 0.1525, n = 4 x 12 = 48.
Hence:
r/12 = 0.1525/12 = 0.01270833.
Hence, the monthly payments will be of:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 1800\frac{0.01270833(1 + 0.01270833)^{48}}{(1 + 0.01270833)^{48} - 1}[/tex]
A = 50.32.
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What is the area of the trapezoid shown? The figure is not drawn to scale.
284.31 in.²
303.75 in.²
568.62 in.²
607.5 in.2
The area of the trapezoid is 284.31 square inches
How to determine the area?The area of a trapezoid is:
Area = 0.5 * (Sum of parallel sides) * height
Using the given figure, we have:
Area = 0.5 * (17 + 31.6) * 11.7
Evaluate
Area = 284.31
Hence, the area of the trapezoid is 284.31 square inches
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You have 6 different colored balloons. In how many distinct ways can the balloons be ordered?
Select one:
a.
720
b.
365
c.
5040
d.
120
Answer: a. 720
Step-by-step explanation:
You have 6 different sticks to choose from for the first stick. Then there are 5 for the second (6 - 1 = 5), then 4 for the third (5 - 1 = 4), etc all the way to the last stick.
Mathematically, this can be shown with 6!. In other words, 6 factorial.
6 * 5 * 4 * 3 * 2 * 1 = 720
The answer to our question is:
a. 720
The diameter of a circle is m. What is the area
Answer:
[tex] (\frac{{m}^{2} }{4} )\pi[/tex]
Step-by-step explanation:
we can find the radius from the diameter by dividing the diameter by 2 (radius is half the diameter)
the formula for the area of a circle is r²π (with r being radius) but since we must use diameter we have to replace r with (m/2)
this gives us our new formula of (m/2)²π, which simplifies to (m²/4)π
that is the answer
- kan academy advance
The midterm score of 45 is the decide
The midterm score of 45 is the 3rd decile, meaning that 42% of the Senior High School students scored below this test.
What is a decile?Deciles are a type of percentile that divides data into groups of 10%. That is, each decile comprises 10% of the dataset.
To determine the decile, sort the data from lowest to highest. Now, divide the result by ten. This number reflects the no. of observed values within each decile.
Sorting the data from lowest to highest, we have:
37, 43, 45, 61, 63, 74, 75, 76, 82, 87, 89, 98, 99, 100= 14/10
= 1.4
Thus, each decile contains only a 1.4 score.
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Which inequality represents the number line: Number line with points marked for eighteen, nineteen, twenty, twenty one, twenty two, twenty three. The twenty two point is marked with an open circle pointing left. x < 22 x ≤ 22 x ≥ 22 x > 22
The inequality which represents this is x ≥ 22 , Option C is the right answer.
What is an Inequality ?When two algebraic expressions are equated using an inequality operator, <, > etc then the expression formed is called Inequality.
IT is given in the question that
There is a number line , with points marked for eighteen, nineteen, twenty, twenty one, twenty two, twenty three.
The twenty two point is marked with an open circle pointing left
The inequality which represents this is
x ≥ 22 , Option C is the right answer.
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Pls answer this for. I need it now ASAP, thanks
create a feature writing article on the topic "Parallel lines: Nature's beauty". Including an explanation/proof why the lines are parallel and insights
The angle between two parallel lines is zero, we can prove it by putting the value of tanθ as 0.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
As we know, parallel lines in geometry are co-planar straight lines that do not cross at any point. Parallel planes are planes that never meet in the same three-dimensional space. Curves that do not touch or contact each other and maintain a constant minimum distance are known as parallel curves.
We know that the angle between two parallel lines is zero degrees.
[tex]\rm tan\theta = \dfrac{m_1-m_2}{1+m_1m_2}[/tex]
tanθ = 0
m1 = m2
Thus, the angle between two parallel lines is zero we can prove it by putting the value of tanθ as 0.
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p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. On what interval must |q| fall on?
The interval where |q| will fall will be[ 12√2−7√3,∞ ).
What are complex numbers?A complex number is an element of a number system that contains the real numbers and a specific element.
In this case, p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. The interval where |q| will fall will be[ 12√2−7√3,∞ ).
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Find the angle of depression
from point A to point C.
A
?
C
B
Angle of depression = [?]°
Enter
55°
350 m
The angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have shown a right-angle triangle in the picture.
In the right angle triangle, ABC
The angle BAC = 55 degree
Angle BAA' = 90 degree
In the figure, the angle of depression = CAA'
= BAA' - BAC
= 90 - 55
= 35 degree
Thus, the angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.
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Tomás bought a new car for $41,000. If the value of the car depreciates by 17% each year, determine the value
of his car in 9 years.
This is a means of reducing the cost of a goods or an asset over time. The value of the car after 9 years is approximately $888
DepreciationThis is a means of reducing the cost of a goods or an asset over time.
Mathematically, the cost of goods after a particular year is expressed as:
P(t) = P0e^-rt
Given
P0 = $41000rate r = 17% = 0.17time t = 9 yearsSubstitute
P(17) = 41000r^0.17(9)
P(17) = 4100(0.21653)
P(17) = 887.79
Hence the value of the car after 9 years is approximately $888
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Given that the expression x³_ ax² + bx+c leaves the same remainder when divided by x + 1 or x-2, find 'a' in terms of 'b'.
Answer:
Hi,
a=b+3
Step-by-step explanation:
[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=-1&&-1&a+1&-a-b-1\\---&---&---&---&---\\&1&-a-1&a+b+1&c-a-b-1\\\end{array}[/tex]
[tex]\begin{array}{c||c|c|c|c}&x^3&x^2&x&1\\---&---&---&---&---\\&1&-a&b&c\\x=2&&2&4-2a&2b+8-4a\\---&---&---&---&---\\&1&2-a&b+4-2a&c+2b+8-4a\\\end{array}[/tex]
Thus:
c+2b+8-4a=c-a-b-1
3b-3a=-9
a=b+3
Which function has a vertex at (2, 6)?
f(x) = 2x21 - 6
f(x) = 2|x2| +6
f(x) = 2x + 2+ 6
f(x) = 2x + 2 - 6
The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function that has vertex at (2, 6)
The options are:
f(x) = 2|x – 2| – 6
f(x) = 2|x – 2| + 6
f(x) = 2|x + 2| + 6
f(x) = 2|x + 2| – 6
As we know the vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Similarly, mod function can be expressed as:
m(x) = a|x - h| + k
Here (h, k) is the vertex of a function.
In the function:
f(x) = 2|x – 2| + 6
The vertex of the function is (2, 6)
Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
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Help please thanksssssssssss
Answer:
what is your from my from is province philippines
Which polygon has 11 sides
Answer:
Hendecagon
Step-by-step explanation:
a hendecagon has 11 sides
Answer:
Hendecagon
Step-by-step explanation:
It has 11 sides, 11 corners, and 11 angles inside the shape that equal to 1620 degrees