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.
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 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°
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
Use the tables below to find (p - 9)(2).
Answer:
5
Step-by-step explanation:
p(2) - q(2)
3 - (-2)
3 + 2
= 5
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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Line l has a slope of...
Hey there! :)
Answer:
Option C.
Step-by-step explanation:
A perpendicular line to 2/3 will be the reciprocal and negative of this fraction. Therefore:
Slope of perpendicular line = -3/2.
Remember, the equation for solving for the slope is:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We must find points that when plugged into this equation, equal to -3/2.
Plugging in the points in option A:
[tex]\frac{2}{3} \neq \frac{-3}{2}[/tex]
Option B:
[tex]\frac{3}{4} \neq \frac{-3}{2}[/tex]
Option C: This is the correct answer.
[tex]\frac{-3}{2} = \frac{-3}{2}[/tex]
Option D:
[tex]\frac{2}{10}\neq \frac{-3}{2}[/tex]
jed needs to estimate the value of 4.32x10^-4
Answer:
0.000432
Step-by-step explanation:
Since we have a negative exponent 4 with a base of 10, we simply just move the decimal place 4 places to the left. When you do so, fill in your remaining zeros and you should get your answer.
Answer:
0.000432
Step-by-step explanation:
4.32ₓ10⁻⁴ =
= 4.32ₓ1/10000
= 4.32/10000
= 0.000432
Represent the number of feet in y yards, f feet
and i inches.
Answer: there a 3 feet to a yard a 36 inches to a yard( 12 inches to a foot) 1/3 of a yard is a foot hope this helps
Step-by-step explanation:
please help I really need it
1. How much is it estimated that the United States population increased from July 1, 2000 to July 1, 2003? From July 1, 2003 to
July 1, 2007?
Answer:
2.92%
3.85%
Step-by-step explanation:
The population in 2000 is 282,194,308. The population in 2003 is 290,447,644. This is an increase of 8,253,336.
290,447,644 - 282,194,308 = 8,253,336
To find the percentage in increase, divide the difference by the original number and multiply by 100%. The population increased by 2.92%.
8,253,336/282,194,308 = 0.0292 × 100% = 2.92%
The population in 2003 is 290,447,644. The population in 2007 is 301,621,157. This is an increase of 11,173,513.
301,621,157 - 290,447,644 = 11,173,513
Divide the difference by the original number and multiply by 100%. The population increased by 3.85%.
11,173,513/290,447,644 = 0.0385 × 100% = 3.85%
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.
Please help with this
Answer:
5/2
Step-by-step explanation:
We take the ratio of a side of ABC over the same side on DEF
AB/ DE
35/14
Divide top and bottom by 7
5/2
Which statements could he include in his explanation?
Select two options.
Keshawn is asked to compare and contrast the domain
and range for the two functions.
f(x) = 5x
g(x) = 5
The domain of both functions is all real numbers.
The domain of f(x) is x>5.
The domain of g(x) is x > 5.
The range of f(x) is y> 0.
The range of g(x) is y>0.
Answer:
Option 1: Domain of both functions are all real numbers.
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
Answer: Option 1
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
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.
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:
What is the explicit formula for this geometric sequence? 64, 16, 4, 1, ...
Answer:
C.
Step-by-step explanation:
Explicit Formula: an = a1(r)^(n-1)
Our r = 1/4 because to get 64 down to 16 you need to divide by 4 or multiply by 1/4
Our a1 is the 1st term of the sequence, which is 64.
Plug it in: an = 64(1/4)^(n-1)
So our only viable option is C.
Answer:
Option C
Step-by-step explanation:
=> [tex]a_{n} = a_{1} * r^{(n-1)[/tex]
Where a1 = 64, r = 1/4
So,
=> [tex]a_{n} = 64 * (\frac{1}{4}) ^{n-1}[/tex]
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:
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
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.
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:
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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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
PLEASE HELP WILL MARK BRAINLIEST Simplify by removing parentheses and, if possible, combining like terms. 6m-2(-7m+3)
Answer:
20m-6
Step-by-step explanation:
[tex]6m-2(-7m+3)=\\6m+14m-6=\\20m-6[/tex]
Answer:
20m - 6
Step-by-step explanation:
6m - 2(-7m + 3)
Expand brackets.
6m + 14m - 6
Add like terms.
20m - 6
HELPPPPP NEEDED FIRST GETS BRAINLLEST !!!! Kobe, Amari, and DJ raised $125.45 for their football team. Kobe collected $24.55 more than Amari, and DJ collected $15.60 less than Kobe. If x = the amount raised by Amari, choose the expressions that represent the amount each other player raised. x + 24.55 x + 8.95 2x – 15.60 3x + 24.55
Answer:
Kobe raised x + 24.55
Amari raised x
DJ raised 2x – 15.60
Simplify: x^2-4x-12/x^3-10x^2+24x
Answer:
(x + 2) / x(x - 4).
Step-by-step explanation:
x^2-4x-12/x^3-10x^2+24x
= (x + 2)(x - 6) / x(x^2 - 10x + 24)
= (x + 2)(x - 6) / x(x - 4)(x - 6) x -6 is common to top and bottom so:
= (x + 2) / x(x - 4).
Answer:
x+2/x(x+4) or x+2/x^2-4x
Step-by-step explanation:
from the numerator x^2-4x-12, factorise the numerator
x^2-4x-12
multiplying x^2 and -12=-12x^2
step2:
find two numbers that when multiplied you get -12x^2 and when added you get -12x^2.
This numbers are -6x and 2x.
Therefore,(x^2+2x)-(6x-12)
x(x+2)-6(x+2)
(x-6)(x+2)
Step3
from the denominator x^3-x^2+24x, factorise the denominator
x^3-x^2+24x
What is common to all the numbers, the number that is common is x
Therefore,x(x^2-x^2+24x).
multiplying x^2+24x=24x^2
step2:
find two numbers that when multiplied you get 24x^2 and when added you get 24x^2.
This two numbers are -6x and -4x.
Therefore,x{(x^2-4x)-(6x+24)}
x{x(x-4)-6(x-4)}
x{(x-4)(x-6)
Step4
Bringing the nunerator and denominator together.
(x-6)(x+2)/x{(x-4)(x-6)}
(x-6) divides each other
Therefore,x+2/x(x-4) or (x+2)/x^2-4x
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?
Find the volume of a pyramid with a square base, where the area of the base is
14.1 in' and the height of the pyramid is 11.1 in. Round your answer to the nearest
tenth of a cubic inch.
I think its 57.17 or about 52.2cubic inch
A point located at (6, 4) is reflected over the x-axis. What are the coordinates of the image?
(6,4)
(-6,-4)
(-6,4)
(-4, 6)
Answer:
(6,-4)
Step-by-step explanation:
Reflecting over the x axis means flipping the point or line over it. Therefore the point's y value would the opposite from the beginning.
Answer:
(6, -4)Step-by-step explanation:
For any point reflected over the x-axis, the x-coordinate stays the same and the y-coordinate becomes negative.
6 stays the same
4 becomes -4.
I'm always happy to help :)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.