Answer:
D
Step-by-step explanation:
First find the median of the data set
The median is the middle value of the data in ascending order
20, 21, 24, 25, 28, 29, 35, 37, 39, 42, 44
↑ median = 29
The third quartile is the middle value of the data to the right of the median
35, 37, 39, 42, 44
↑ third quartile
The third quartile of the data set is 39
Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restriction.
g(f(x))
Answer:
4x2-7
Step-by-step explanation:
4(x2+2)-1=4x2+8-1=4x2=7
study the diagram of circle K where JL and LM are tangent to circle K at points J and M respectively. Also JL=3x+10 and ML =7x-6
Answer:
22
Step-by-step explanation:
The answer is 22. You solve the equation 3x+10=7x-6 like so
3x+10=7x-6
-3 = -3
10= 4x-6
+6 +6
16=4x
x=4
You then plug in the value of x to the equation for LM.
7x-6 becomes 7*4-6 which is 22.
convert 203base five to base ten.
Answer:
53
Step-by-step explanation:
Step1: Converting 203 to base 10.
2*52=50
0*51=0
3*50=3
Adding all to get Answer=5310
Step2: Converting 5310 to 10
The equation calculation formula for 5310 number to 10 is like this below.
10|53
10|5|3
10|5|5
Answer:5310
A certain circle can be represented by the following equation x^2+y^2+18x+14y+105=0 What is the center and radius of the circle?
Answer:
center: (-9, -7)radius: 5Step-by-step explanation:
A graphing calculator can be helpful for questions of this nature. The attached shows the center is (-9, -7) and the radius is 5.
_____
You can separate the x- and y- terms and complete the square for each.
(x^2 +18x) +(y^2 +14y) = -105
Do that by adding the square of half the linear term.
(x^2 +18x +9^2) +(y^2 +14x +7^2) = -105 +81 +49
(x +9)^2 +(y +7)^2 = 25
Compared to the standard form equation ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . center (h, k), radius r
We see that the given circle has a center of (-9, -7) and a radius of 5.
P(8,4) is one endpoint of PQ. M(3, 1) is the midpoint of PQ. Determine the coordinates of endpoint Q.
(3 marks)
please write all the steps, summer school is rlly bad I need help.
Answer:
(-2, -2)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in our known variables and set equation equal:
3 = (8 + x)/2
6 = 8 + x
x = -2
1 = (4 + y)/2
2 = 4 + y
y = -2
The point (1, 3) maps to (-1, 4). Which of the following rules would generate this transformation?
(х + 4, у – 2)
(х + 2, у – 1)
(X - 2, y + 1)
(x - 4, y + 2)
Answer:
(x-2,y+1)
Step-by-step explanation:
from point (1, 3) to (-1, 4).
x=1 to x=-1
x-2=-1
1-2=-1
from y=3 to y=4
y+1=4
3+1=4
Estimate the circumference of a circle that has a diameter of 13 yards.
______yd
Answer:
The answer is 40.8 ydStep-by-step explanation:
Circumference of a circle is πd
where d is diameter
diameter is 13 yards
Circumference of the circle is
π × 13 yd
= 13π
= 40.8yd to one decimal place
Write the set { 1, 3, 7, 15, 31, 63 } in set builder form
Answer:
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
Step-by-step explanation:
Mathematically, we can rewrite each term in the set as follows;
1 = 2^1 - 1
3 = 2^2 -1
7 = 2^3 -1
15 = 2^4-1
31 = 2^5-1
63 = 2^6 -1
so we can conclude that the nth term is 2^n -1
So writing this in set builder notation, we have;
{ x : x = 2^n -1 , n ∈ N}
Where N is the set of natural numbers
How much of a radioactive kind of francium will be left after 10 minutes if the half-life is 5 minutes and you start with 96 grams?
Answer:
24
Step-by-step explanation:
96/2=48/2=24
All three sides and all three angles are equal in an equilateral triangle. Could this figure
also be a parallelogram?
never
always
sometimes
Answer:
never
Step-by-step explanation:
Any triangle can never be a parallelogram because it only has three sides.
quadrilateral with parallel sides is a parallelogram.
The HCF of 59 and 62 is (a) 4 (b) 28 (c) 6 (d) None of the above
Answer:
An object balances itself when a perpendicular line drawn through its Centre of Gravity (CG), passes through its base.
See the picture of a popular toy given below. The horse, the rider and the ball are all joined together as one single unit. This entire unit is balanced on the thin black rod shown. At which of the indicated positions, could the Centre of Gravity (CG) of the horse, rider and ball unit be?
July 10 book Science up55 down8
AA BB
CC DD
Step-by-step explanation:
Answer:
The answer is d. none of the above
Step-by-step explanation:
59= 1,59
62= 1, 2, 31, 62
Common factors= 1
HCF = 1
I hope this helps.
Why did the women of Seneca Falls choose to echo the language in the Declaration of Independence? Write one sentence to explain your answer.
Answer:
Step-by-step explanation:
The women of the Seneca Falls Convention choose to echo the language of the Declaration of Independence for multiple reasons including:
A) Evoke an emotional response- The Declaration of Independence is often referred to in important speeches as a way to remind Americans of the reasoning for why we became a free nation during the late 18th century.
B) Show that they deserve similar rights to men- The Declaration of Independence says that "all men" are created equal. The women of this convention changed that wording to say that all people are equally and deserve equal treatment in the eyes of the law.
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Answer:
They were declaring their own independence.
They were claiming that the declaration of independence applied to women as well as men.
They were pointing out that men claimed rights for themselves that were denied to women.
They were appealing to the patriotism and emotions of the public.
Step-by-step explanation:
edge 2020
Which normal distribution has the greatest standard deviation?
50 POINTS TO YOU
Answer:
Given : Few Distributions Mean & Standard Deviation.
To find : normal distribution which has the greatest standard deviation.
Solution:
=> Distribution 4 has the greatest standard deviation.
Graph at top has more spread hence more standard deviation.
Answer:
its A i just took the test
Step-by-step explanation:
i hope this helped ;)
SOMEONE HELP ME PLEASE!!!!
Answer:
2 < X < 77 is the right answer.
solution,
5x - 10 < 25
5x < 25 + 10
5x < 35
X < 35/5
X < 7
Hope this helps...
Good luck on your assignment..
Solve the inequality. 4(p – 4) > 12 A. p 3 C. p > 16 D. p > 7 it would be nice if you can show me how you did step by step
Answer:
D
Step-by-step explanation:
Given
4(p - 4) > 12 ( divide both sides by 4 )
p - 4 > 3 ( add 4 to both sides )
p > 7 → D
Consider this function. f(x) = x + 4 Which graph represents the inverse of function f?
A.) W
B.) X
C.) Y
D.) Z
Answer:
C
Step-by-step explanation:
just took the unit test
Graph Y represents the inverse of function f.
What is the inverse of a function?In mathematics, the inverse function of a feature f is a function that undoes the operation of f.
How do you find an inverse of a function?To find the inverse of a function, write the function y as a function of x i.e. y = f(x) after which solve for x as a function of y.
Learn more about the inverse of a function here brainly.com/question/24992590
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The following expression models the total number of pizzas sold in an hour, where x represents the number of discount coupons
offered. 41x/5x+2+12
What does the constant term in the above function represents?
Answer:
A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.
Step-by-step explanation:
Below is the complete question
What does the constant term in the above function represents?
A. The constant term 12 represents the number of pizzas sold in an hour if 0 discount coupons are offered.
B. The constant term 12 represents the maximum number of pizzas sold in an hour.
C. The constant term 12 represents the amount of additional pizzas sold for each additional discount coupon offered.
D. The constant term 12 represents the number of discount coupons offered in an hour.
1 Dentro de seis años tendré el doble de la edad que tenía hace cuatro años. ¿Qué edad tendré dentro de nueve años?
Answer:
23 años
Step-by-step explanation:
Para resolver la situación, consideremos que x es la edad de la persona. Sabemos que dentro de seis años esta tendrá el doble de la edad que tenía hace cuatro años. La edad dentro de 6 años se puede expresar como x+6 y esto será igual al doble de la edad que tenía hace cuatro años, lo que se puede expresar como 2(x-4). De acuerdo a esto:
x+6=2(x-4)
x+6=2x-8
6+8=2x-x
x=14
Ahora que sabemos que la edad de la persona es 14 años, le sumamos 9 y esto da como resultado 23 y esta es la edad que la persona tendrá en 9 años.
Can some one help me on this 10pts
Answer:
x = 20
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent, that is
∠ A = ∠ D , thus
3x - 10 = 2x + 10 ( subtract 2x from both sides )
x - 10 = 10 ( add 10 to both sides )
x = 20
40 thousandths= how many hundredths? I'll mark brainliest for whoever answers first :D
Answer:
Is it 0.04?
Step-by-step explanation:
Do tell me if I'm wrong please.
The value of each digit in a number is known as the place value. The number of hundredths that 40 thousandths will have is 4.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10A thousandth is the (1/1000)th part of something, while a hundredth is the (1/100)th part of something.
Let the number of hundredths be x. Therefore, the number of hundredths can be written as,
40(1/1000) = x(1/100)
0.04 = x/100
x = 4
Hence, the number of hundredths that 40 thousandths will have is 4.
Learn more about the Place Value:
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Consider the expression. (StartFraction 2 m Superscript negative 1 baseline n Superscript 5 Baseline Over 3 m Superscript 0 Baseline n Superscript 4 Baseline EndFraction) squared What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4 Over 25 EndFraction StartFraction 4 Over 25 EndFraction StartFraction 24 Over 25 EndFraction
Answer:
The correct option is option (3) 4 ÷ 25.
Step-by-step explanation:
The expression in terms of m and n is:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
Exponent rule of division:
[tex]a^{x}\div a^{y}=a^{x-y}[/tex]
Compute the value of the expression for m = -5 and n = 3 as follows:
[tex]F(m,n)=[\frac{2m^{-1}n^{5}}{3m^{0}n^{4}}]^{2}[/tex]
[tex]F(-5,3)=[\frac{2\csdot (-5)^{-1}\cdot (3)^{5}}{3\cdot (-5)^{0}\cdot (3)^{4}}]^{2}[/tex]
[tex]=\{\frac{2}{3}\times [(-5)^{-1-0}\times (3)^{5-4}}]\}^{2}\\\\=\{\frac{2}{3}\times \frac{-1}{5}\times 3\}^{2}\\\\=\{-\frac{2}{5}\}^{2}\\\\=\frac{4}{25}[/tex]
Thus, the correct option is option (3) 4 ÷ 25.
Answer:
4/25
Step-by-step explanation:
I just did the test
Mei has 8 jars of soup. Each jar contains 300 milliliters of soup. What is the smallest pot mei can use to heat all the soup? a.2 liters b.3 liters c.1 liter d.4 liters
Answer:
Option B. 3 liters
Step-by-step explanation:
First, we shall determine the total volume of soup that Mei have. This is illustrated below:
Mei have 8 jars of soup containing 300mL each. Therefore, she has a total of = 8 x 300mL = 2400mL.
Next, we shall convert 2400mL to litres (L). This can be obtain as follow:
1000mL = 1L
Therefore, 2400mL = 2400/1000 = 2.4L
Mei have 2.4L of soup.
Since the total volume of the soup that Mei have is 2.4L, she will be needing a minimum of 3L pot to heat up all the soup.
Please help me:((((((( It is real urgent! Please and thank you
Answer:
B. p > 12.80(160) + 8235.
Step-by-step explanation:
Since he wants to make a profit, the price he will need to receive for his crop will have to exceed his costs. So, the equation would use the > sign rather than the >= sign.
He harvests crops for $12.80 per acre, with 160 acres. That would be 12.80(160).
He is spending $8235, which adds to the costs of harvesting.
So, the answer will be B. p > 12.80(160) + 8235.
Hope this helps!
I need to know the volume of this droplet in cubic meters!
Answer:
There are 100³ = 1000000 cubic cm in one cubic meter so the answer is 0.1 / 1000000 = 1 / 10000000 = 0.0000001 cubic meters.
Ramani has 3 times as many two -rupee coins as she has five- rupee coins . If she has in all a sum of Rs.77 , then how many coins of each denomination does she have ?
Answer:
21- two rupee coins
7- five rupee coins
Step-by-step explanation:
3x(2)=5x
6x=5x
6x+5x=77
11x=77
x= 7
thus 3x(2)means she has 21-2 rupee coins and 7-5rupee coins.
Identify the range of the function shown in the graph.
A. y is all real numbers.
B. {-2,2}
C. -2 < y < 2
D. Y > 0
Answer:
A. y is all real numbers.
Step-by-step explanation:
The range is the possible values that y can take
In this graph y goes from negative infinity to infinity so y can be all real numbers
When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc)
Answer:
Step-by-step explanation:
Arbitrarily choose a couple of x value using the given function, and write your results in a x-y table as (x, y). Plot these points. Connect them with a smooth curve. if you have any doubts about the shape of the grqph, pick more x values in the neighborhood and plot them also.
Determine the number of solutions for the equation shown below x= x - 9
Answer:
None (0)
Step-by-step explanation:
x = x - 9
-x -x
0 = -9
No solution
A student measured the volume of gas produced in 30 seconds from a
reaction between 2g of magnesium and 20cm' of 2 mol/dm hydrochloric
acid. The student repeated the experiment 5 times and the volumes
collected (cm) were: 13.5, 13.1. 17.5, 13.7 and 13.0. Calculate the mean,
discounting any anomalies.
Answer:
[tex]\boxed{Mean = 14.16}[/tex]
Step-by-step explanation:
Observation = 13.5, 13.1, 17.5, 13.7, 13.0
No. of Observations = 5
=> Mean = [tex]\frac{SumOfObservations}{NumberOfObservations}[/tex]
=> Mean = [tex]\frac{13.5+13.1+17.5+13.7+13.0}{5}[/tex]
=> Mean = [tex]\frac{70.8}{5}[/tex]
=> Mean = 14.16
Observation = 13.5, 13.1, 17.5, 13.7, 13.0
and the Mean is: 14.16
Karen Gaines invested $12,000 in a money market account with an interest rate of 2.25% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
on a new house. How much did Karen withdraw from the account?
(Round to the nearest cent as needed.)
Answer:
$13,724
Step-by-step explanation:
From the above question, we are given the following values:
Principal = P = $12,000
Interest = r = 2.25% = 0.0225
Compounded semi annually = n = 2
Time (t) = 6 years
From the question, we understand that we are to find the total (full) Amount Karen withdrew.
The formula to use to calculate the Total Amount of money given that this is a compound interest question is:
Total(full) Amount = P( 1 + r/n) ^n/t
= $12,000( 1 + 0.0225/2) ^2×6
= $12,000(1.01125)^12
= $13724.093289
Approximately to the nearest cent
≈ $13,724
Therefore, Karen withdrew $13,724 from the account.
Karen Gaines invested $14000 in a money market account with an interest rate of 2.75% compounded semiannually. Six years later, Karen withdrew the full amount to put toward the down payment
Round to the nearest cent as needed.)