Answer: Choice D
Step-by-step explanation: The f(x) values must all be negative numbers.
The open circles represent x values > or < the x.
The solid circles represent x values ≤ or ≥ to the x.
Find values that match up.
Find the value of x in this figure
A. 120
B. 105
C. 115
D. 110
Answer:
A. 120
Step-by-step explanation:
To find the measure of x, you would need to subtract the major arc minus the minor arc. A circle is 360 degrees so, 360-60=300. That is the major arc. Now, we use the formula, x=1/2(major-minor). When we plug the information in, we get 1/2(300-60)...1/2(240)...x=120.
Hence,
the correct option would be 120.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
which properties do equilateral triangles and isosceles triangles have in common? A: 0 sides of equal length. B: 2 sides of equal lengths. C: 3 sides of equal length. D: 3 equal angles. Multiple choice
Answer:
2 sides of equal length, 3 sides of equal length
Step-by-step explanation:
your welcome✌
The property which equilateral and isosceles triangle have in common is 2 sides of equal length
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the triangle be represented as ΔABC
Now , A triangle with two sides of equal length is an isosceles triangle.
Both equilateral triangles and isosceles triangles have at least 2 sides of equal length, but only equilateral triangles have all three sides of equal length.
Hence , the triangles have at least 2 sides of equal lengths
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Triangle △ABC has an altitude CD . Which of the three points, A, B, D are between the other two if angles A and B are both acute?
D is point lies between A and B.
Triangle △ABC has an altitude CD.
angles A and B are both acute.
Altitude is perpendicular bisector to side of triangle from opposite vertex of triangle.
Since △ABC
A and B are acute angles, and that altitude CD has one vertex at c and other is between A and B i.e. D
Thus, the required point of Altitude CD D lies between A and B.
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If the sum of the integers from 15 to 50,
inclusive, is equal to the sum of the integers
from n to 50, inclusive, and n<15, then n=
A)-49
B)-35
C)-15
D-14
Answer:
n = -15
Step-by-step explanation:
Given
Sum of Integers from 15 to 50 (inclusive) = Sum of integers from n to 50 (inclusive)
n < 15
Required
Find n
We can split the given parameters to 2
i. Sum of Integers from 15 to 50 (inclusive)
ii. Sum of integers from n to 50 (inclusive)
Solving for (i): Sum of Integers from 15 to 50 (inclusive)
We'll make use of sum of n terms of an arithmetic;
This is given as follows
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
Where n is the number of terms from 15 to 50
T1 is the first term; T1 = 15
Tn is the last term; Tn = 50
n is calculated using
[tex]n = T_n - T_1 + 1[/tex]
[tex]n = 50 - 15 + 1[/tex]
[tex]n = 36[/tex]
The formula becomes
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
[tex]S_n = \frac{36}{2}(15 + 50)[/tex]
[tex]S_n = \frac{36}{2}(65)[/tex]
[tex]S_n = 18(65)[/tex]
[tex]S_n = 1170[/tex]
Solving for (ii): Sum of integers from n to 50 (inclusive)
We'll also make use of the same formula used above
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
Where n is the number of terms from n to 50
T1 is the first term; T1 = n
Tn is the last term; Tn = 50
n is calculated using
[tex]n = T_n - T_1 + 1[/tex]
[tex]n = 50 - n + 1[/tex]
[tex]n = 50 + 1 - n[/tex]
[tex]n = 51 - n[/tex]
The formula becomes
[tex]S_n = \frac{n}{2}(T_1 + T_n)[/tex]
[tex]S_n = \frac{51 - n}{2}(n + 50)[/tex]
Recall that the Sum of Integers from 15 to 50 (inclusive) = Sum of integers from n to 50 (inclusive);
This implies that
Sn (i) = Sn (ii)
As such; we have
[tex]S_n = \frac{51 - n}{2}(n + 50) = 1170[/tex]
[tex]\frac{51 - n}{2}(n + 50) = 1170[/tex]
Multiply both sides by 2
[tex]2 * \frac{51 - n}{2}(n + 50) = 1170 * 2[/tex]
[tex](51 - n)(n + 50) = 1170 * 2[/tex]
[tex](51 - n)(n + 50) = 2340[/tex]
Open Brackets
[tex]51(n + 50) - n(n + 50) = 2340[/tex]
[tex]51*n + 51 * 50 - n * n - n * 50 = 2340[/tex]
[tex]51n + 2550 - n^2 - 50n = 2340[/tex]
Reorder
[tex]-n^2 + 51n - 50n + 2550 = 2340[/tex]
[tex]-n^2 + n + 2550 = 2340[/tex]
Subtract 2340 from both sides
[tex]-n^2 + n + 2550 -2340 = 2340 -2340[/tex]
[tex]-n^2 + n + 210 = 0[/tex]
Multiply both sides by -1
[tex]-1(-n^2 + n + 210) = -1 * 0[/tex]
[tex]n^2 - n - 210 = 0[/tex]
At this point, we have a quadratic equation; as such, it'd be solved as follows:
[tex]n^2 - n - 210 = 0[/tex]
Expand
[tex]n^2 + 15n - 14n - 210 = 0[/tex]
Factorize
[tex]n(n + 15) - 14(n + 15) = 0[/tex]
[tex](n - 14)(n + 15) = 0[/tex]
Split the above expression
[tex](n - 14) = 0 \ or\ (n + 15) = 0[/tex]
[tex]n - 14 = 0 \ or\ n + 15 = 0[/tex]
[tex]n = 14\ or\ n = -15[/tex]
The question states that n < 15;
This means that we'll discard the value of n = 14
Hence, n = -15
What is the maximum number of y-intercepts a line can have?
I will mark brainliest!
Answer:
one
Step-by-step explanation:
The maximum number of y intercepts a line can have is one
A line can only cross the y axis one time
A line can only cross the x axis one time
Otherwise it is not linear
Identify the explicit function for the sequence in the table.
Answer:C
Step-by-step explanation: substitute n=3 for all equations and see which equation accurately correlates to the graph for when x=3. When you do this you see that only option C is the correct equation
Answer:
C). [tex]a(n) = 7 + (n - 1) * 12[/tex]
Step-by-step explanation:
Plugin values into the equation.
Mr. Prasad has a Savings Account in a bank. How much money will he have in his account at the end of the first year if he saves $55.00 every
month?
Answer: $660
Step-by-step explanation:
If he saves $ 55 every month, he will have
55 x 12 = 660
Please answer please correct
Answer:
BDA is the answer
Step-by-step explanation:
Because its 90 degrees
Answer:
Angle CDA or ADC
(both work as an answer)
Step-by-step explanation:
A complementary angle is one that has a sum of 90 degrees. In the picture, you can see that the two adjacent angles add up to 90. The second angle would be CDA or ADC, in other words, the answer
Find the missing side length and angles of △ABC given that m∠A=56∘, b=9, and c=11. In triangle A B C, side A B is 11 units long, side A C is 9 units long, and side B C is labeled a. Angle A measures 56 degrees.
Answer:
1) Side a = 9.55
2) Angle B = 51.36°
3) Angle C = 72.67°
Step-by-step explanation:
We would be solving the above questions using Law of Cosines
1) To find Side a using Law of cosines
a² = b² + c² - 2bc × Cos A
a = √(b² + c² - 2bc × Cos A)
a = unknown
b = 9
c = 11
Angle A = 56°
a = √(9² + 11² - 2 × 9 × 11 × Cos 56°
a = 9.55405
Approximately a = 9.55
2) To find Angle B
We would use the Law of Cosines as well
b² = a² + c² - 2ac × Cos B
Cos B = a² + c² - b²/2ac
B = arc cos ( a² + c² - b²/2ac)
a = 9.55
c = 11
b = 9
B = arc cos (9.55² + 11² - 9²/2 × 9.55× 11)
B = 51.36°
3) To find Angle C
We would use the Law of Cosines as well
c² = a² + b² - 2ac × Cos C
Cos C = a² + b² - c²/2ab
C= arc cos ( a² + b² - c²/2ab)
a = 9.55
b = 9
c = 11
C = arc cos (9.55² + 9² - 11²/2 × 9.55× 9)
C= 72.67°
A river drops 12 ft vertically over a horizontal distance of 1500 ft.
What is the slope of the river?
Answer:
Slope = rise / run
= -12 / 1500 (It's -12 and not 12 because a drop means it's decreasing)
= -0.008
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2013 was 125, and then went down by 12% in 2014. How many robberies were there in Springfield in 2014?
Answer:
110
Step-by-step explanation:
2013No of robberies = 125
Percentage = 100%
2014No of robberies = 'd'
Percentage = 12% lower than 2013 = 100% - 12%
= 88%
No of robberies in 2014 = 88% of the number of robberies in 2013
'd' = 88/100 × 125
'd' = 0.88 × 125
'd' = 110
2014 robberies = 110 in number
Find an equivalent function to f(x) = 5(3)^3x. (5 points)
Answer:
[tex]B. f(x) = 5(27)^x[/tex]
Step-by-step explanation:
Well lets graph it first,
Look at the image below ↓
By looking at the image we can tell that answer choice [tex]B. f(x) = 5(27)^x[/tex].
Thus,
answer choice B is correct.
Hope this helps :)
Answer:
The correct result would be f(x) = 5(27)x.
Step-by-step explanation:
If you would like to find an equivalent function to f(x) = 5(3)^(3x), you can do this using the following steps:
f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x
hope this helped :)
Find the amount in an account where $500 in invested at 2.5% compounded quarterly for a period of 10 years.
Answer: $641.51
Step-by-step explanation:
A = p (1+ r/n)^nt
A = 500 (1 + 0.025/4)^4*10
A = 641.51
The amount in an account where $500 in invested at 2.5% is $641.51.
Using this formula
A = p (1+ r/n)^nt
Where:
A=Amount
P= Principal=$500
R=Rate=2.5% or 0.025
n=4 (Quarterly)
T=Time=10 years
Let pug in the formula
A = $500(1 + 0.025/4)^4×10
A=$500(1.28302)
A =$641.51
Inconclusion the amount in an account where $500 in invested at 2.5% is $641.51.
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The following is a geometric sequence. Find the next number in this sequence.
1, -2, 4
Answer:8
Might I be right
Step-by-step explanation:
Pls help me I need the help!
Answer:
1a) 15, 7, x+5
1b) 7
2a) 18, 3r
Step-by-step explanation:
1a) Since Claire is 5 years older, she will always be her cousin's age plus 5
1b) Claire is 5 years older, so Claire's cousin is 5 years younger. So, Claire's cousin is Claire's age minus 5
2a) Diego will have the amount of Han's books times 3
Answer:
Clare Questions:
Cousin: 10, Clare: 15
Cousin: 2, Clare: 7
Cousin: x, Clare: x + 5
Cousin: 7, Clare: 12
Diego Questions:
Han: 6, Diego: 18
Han: can't tell if it is a 0 or n, Diego: 0 or 3n, respectively
Step-by-step explanation:
Since Clare is older than her cousin by 5, they will both age at the same rate, thus she will always be 5 years older.
example: if her cousin is 10, Clare will be 10 + 5 years older, therefore being 15.
Since DIego has 3 times as many books than Hans, it multiplies by 3.
example: if Han has 6 books, multiply 6 by 3 and you get Diegos amount, 18.
help please heeeeeeeeeeeeeeeeeeeeeeeeeeelp
Answer:
8.29166
Step-by-step explanation:
3.5_0.375+5.166666
Answer:
[tex]8 \frac{7}{24} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
Please I need help in this question, Best answer gets BRAINLIEST
Answer:
1 - a/variable
2 - d/statistic
3 - b/population
4 - c/data
5 - e/parameter
6 - f/sample
I did comment asking if the two you'd already selected were definitely correct, but no answer was given, so I apologise if this is wrong. This is what I would put.
A merchant has coffee worth $30 a pound that she wishes to mix with 20 pounds of coffee worth $60 a pound to get mixture that can be sold for $50 a pound. How many pounds of the $30 coffee should be used?
I WILL MARK BRAINLIEST WHAT DOES THIS MEAN????
Answer:
The answers are: 1 and 1.
Step-by-step explanation:
I believe they are how combinations are written. In other words:
[tex]_{n}C_{r}=(\frac{n}{r})=n!/(r!(n-r)!)[/tex] (Ignore the fraction bar, I can't really format it properly).
Anyways, simply find the combination of each:
[tex](\frac{9}{0})=9!/(0!(9-0)!)=9!/9!=1[/tex]
[tex](\frac{9}{9} )=9!/(9!(9-9)!)=9!/9!(0!)=9!/9!=1[/tex]
Note that 0! equals 1.
Answer:
Ahh
Step-by-step explanation:
Hhs
ur welcome brainliest person
Lines L and M are parallel.
3/4
2 5
16
38° 7
-L
<-M
:
Find : m_1
Enter the number that
belongs in the green box.
[? ? ]
Enter
Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value. two parabolas open up with f of x passing through 8 comma 6 and g of x passing through 2 comma 6 k = −4 k = negative one fourth k = one fourth k = 4
Here we have a problem of transformations, particularly, horizontal dilations.
We will find that the correct option is k = 4.
We have two functions:
f(x) and g(x) = f(k*x)
We know that:
f(x) passes through the point (8, 6)
This means that:
f(8) = 6
And we know that g(x) passes through (2, 6)
this means that:
g(2) = 6
Using these two and the representation of g(x), we can see that:
g(2) = f(k2) = 6
and we knew that f(8) = 6
then
k2 = 8
k = 8/2 = 4
Then the value of k is 4.
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Answer:
k = 4
Step-by-step explanation:
i took the test and got it right just wanted to confirm th other answer cause the score isnt super good
an = -2 + 3/2 (n-1)
What is the 21st term of the sequence?
Answer:
[tex]a_{n} = -83/40[/tex]
Step-by-step explanation:
Given
[tex]a_{n} = -2 + 3/2 (n-1)[/tex]
In this problem to find 21st term we put 21 in place of n in the equation
[tex]a_{n} = -2 + 3/2 (21-1) = \\a_{n} = -2 + 3/2 (20)\\a_{n} = -2 + 3/40 = (-2*40 +3)/40 \\a_{n} = -83/40\\[/tex]
Thus, 21st term is -83/40.
by what rational no. should -7/85 be multiplied to obtain 1/17?
Answer:
-1/10115
Step-by-step explanation:
Let x be the rational number.
-7/85 × x = 1/17
x = 1/17 ÷ -7/85
x = 1/(17 × -7 × 85)
x = 1/(-10115)
x = -1/10115
The rational number is -1/10115.
Answer:
- 5/7
Step-by-step explanation:
-7/85*x= 1/17
x= 1/17 ÷ (-7/85)
x= - 1/17 × 85/7
x= - 5/7
On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral Q R S T has points (negative 1, 0), (5, 0), (3.5, negative 6) and (negative 2.5, negative 6). Quadrilateral Q prime R prime S prime T prime has points (negative 1, 2), (1, 2), (0.5, 0), and (negative 1.5, 0). Quadrilateral QRST is dilated and translated to form similar figure Q'R'S'T'. What is the scale factor for the dilation?
Answer:
[tex]\dfrac{1}{3}[/tex].
Step-by-step explanation:
In quadrilateral QRST, Q(-1,0), R(5,0), S(3.5,-6), T(-2.5,-6).
In quadrilateral Q'R'S'T', Q'(-1,2), R'(1,2), S'(0.5,0), T'(-1.5,0).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula , we get
[tex]QR=\sqrt{(5-(-1))^2+(0-0)^2}=\sqrt{6^2}=6[/tex]
[tex]Q'R'=\sqrt{(1-(-1))^2+(2-2)^2}=\sqrt{2^2}=2[/tex]
Now,
[tex]\text{Scale factor}=\dfrac{Q'R'}{QR}[/tex]
[tex]\text{Scale factor}=\dfrac{2}{6}[/tex]
[tex]\text{Scale factor}=\dfrac{1}{3}[/tex]
Therefore the scale factor is [tex]\dfrac{1}{3}[/tex].
The given transformation of quadrilateral QRST to quadrilateral Q'R'S'T'
are a dilation and a translation, therefore, QRST is similar to Q'R'S'T'.
[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation\ between \ QRST \ and \ Q'R'S'T' \ is} \ \dfrac{1}{3}[/tex]
Reasons:
The vertices of the quadrilateral are;
Quadrilateral QRST
Q(-1, 0)
R(5, 0)
S(3.5, -6)
T(-1, 2)
Quadrilateral Q'R'S'T'
Q'(-1, 2)
R'(1, 2)
S'(0.5, 0)
T'(-1.5, 0)
The given transformation that gives quadrilateral Q'R'S'T' from quadrilateral QRST are a dilation and a translation.
Required:
The scale factor of the dilation
Solution:
[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{\mathrm{Length \ of \ \overline{Q'R'} }}{\mathrm{Length \ of \ \overline{QR}} }[/tex]
Length of [tex]\overline{Q'R'}} }[/tex] = 1 - (-1) = 2
Length of [tex]\overline{QR}} }[/tex] = 5 - (-1) = 6
Therefore;
[tex]\mathrm{The \ scale \ factor \ of \ the \ dilation} = \dfrac{2}{6} = \dfrac{1}{3}[/tex]
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You want to design a survey to determine how much money people are willing to spend
on concert tickets. Which of the following methods would be most practical and have
the least bias?
Choose 4 neighborhoods at random and poll every home in those
neighborhoods.
Poll 10% of the homes in the area chosen at random.
Poll the first 100 people who enter the mall.
Poll everyone in the area.
Answer:
The correct option is;
Choosing 4 neighborhoods at random and poll every home in those neighborhoods
Step-by-step explanation:
Given that the survey relate to how much money people are willing to spend on on concert tickets with the goal of being practical and unbiased, we have;
Required sampling = Random Sampling
The preferable type of random sampling is either;
1) Simple random sampling
Sampling a given percentage of the homes in the area randomly
2) Clustered random sampling
Completely polling entire population of randomly selected area
Given the practicability of sampling concert goers, since people may have different interests, a better representative sample will be to perform the clustered random sampling approach by choosing 4 neighborhoods at random and poll every home in those neighborhoods.
simplify(2a+1/3)²-(2a-1/3)²
Answer:
hope this helps you :) have a good day
In a triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= square root 2 .
Answer:
AC=2.06cm
Step-by-step explanation:
AC^2=AD^2+CD^2
AC^2=1.5^2+1.4142^2
AC^2=2.25+2=4.25
....
[tex] \sqrt{ac {}^{2} } [/tex]
=
[tex] \sqrt{4.25 = } 2.06[/tex]
Answer:
AC=2.06 cm
Step-by-step explanation:
Solve 3n - 5p + 2n = 10p for n
Answers above
Answer:
D
Step-by-step explanation:
3n - 5p + 2n = 10p
Add like terms.
5n - 5p = 10p
Add 5p to both sides.
5n = 10p + 5p
5n = 15p
Divide both sides by 5.
n = 15/5p
n = 3p
The solution of expression for n is,
⇒ n = 3p
We have to given that,
An expression to solve,
⇒ 3n - 5p + 2n = 10p
Now, We can solve the expression for n as,
⇒ 3n - 5p + 2n = 10p
Combine like terms,
⇒ 3n + 2n = 10p + 5p
⇒ 5n = 15p
Divide by 5 both side,
⇒ n = 15p/5
⇒ n = 3p
Therefore, The correct option is,
D. n = 3p
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Which choice shows the image of quadrilateral WXYZ after a reflection over the y-axis followed by a translation down 2 units?
Answer:
Choices are not provided, but you can answer the question as follows: take the coordinates of quadrilateral WXYZ and apply:
W(xW, yW) -> W'(-xW, yW-2)
X(xX, yX) -> X'(-xX, yX-2)
Y(xY, yY) -> Y'(-xY, yY-2)
Z(xZ, yZ) -> Z'(-xZ, yZ-2)
For example, if point W is located at (1, 1), W' would be located at (-1, -1)
Step-by-step explanation:
Reflection over the y-axis transforms point (x, y) into (-x, y)
Translation down 2 units transforms point (x, y) into (x, y-2)
Answer:
The first choice hope this helps :)
Step-by-step explanation:
The total amount of water a tank can hold is 14 and one-half gallons. Raul wants to find out how many 1 and one-fourth-gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options.. StartFraction 29 over 2 EndFraction divided by StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction times StartFraction 4 over 5 EndFraction StartFraction 2 over 29 EndFraction times StartFraction 5 over 4 EndFraction StartFraction 29 over 2 EndFraction divided by StartFraction 4 over 5 EndFraction
Answer:
Water a tank can hold = 14 1/2 = 29/2
Volume of bucket 1 1/4 = 5/4
The expresson can be
29/2 / 5/4
No. of buckets used = 29/2 x 4/5
Answer:
b and e
Step-by-step explanation: