10^2+16^2=100+256=356^2
The first box should be 2 and the second should be 356
Find the median and Interquartile Range:
33, 42, 31, 27, 47, 23, 40, 45, and 43
Median: 40
Interquartile Range: 15
Median Definition: the median value of a range of values.
Interquartile Range Definition: the range of values of a frequency distribution between the first and third quartiles.
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Answer:
Estimated population of New Hampshire is
A. 35,000
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PLEASE
Answer: -5
Step-by-step explanation: whichever number repeats the most is the mode. In this case, -5 repeats 2 times, while the other numbers dont repeat at all.
If we want to write to the mode of -5, -2, -5, -9, -7, 4 is -5
Which rule defines S, for an = 3(0.7)n?
Sn=7(0.7n)
Sn = 2.1(0.7n)
Sn= 7(1-0.7n)
Sn= 2.1(1-0.7n)
Answer: C
Sn= 7(1-0.7n)
Step-by-step explanation:
The rule that defines S for [tex]a_n = 3(0.7)^n[/tex] is:
[tex]S_n = 7(1 - 0.7^n)[/tex]
The rule of S means that we calculate the rule that defines the sum of n terms of the geometric progression.
Given that:
[tex]a_n = 3(0.7)^n[/tex]
Rewrite as:
[tex]a_n = 3 (0.7)^n \times 1[/tex]
Replace 1 with 0.7/0.7
[tex]a_n = 3 (0.7)^n \times \frac{0.7}{0.7}[/tex]
Rewrite as:
[tex]a_n = 3 *0.7 \times \frac{(0.7)^n}{0.7}[/tex]
Apply law of indices
[tex]a_n = 3 \times 0.7 \times (0.7)^{n-1}[/tex]
[tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]
The n term of a geometric progression is:
[tex]a_n = ar^{n-1}[/tex]
Compare [tex]a_n = ar^{n-1}[/tex] to [tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]
[tex]a = 2.1[/tex] --- the first term
[tex]r = 0.7[/tex]
The sum of n terms of a geometric progression is:
[tex]S_n = \frac{a(1 - r^n)}{1 -r}[/tex]
This gives:
[tex]S_n = \frac{2.1(1 - 0.7^n)}{1 -0.7}[/tex]
[tex]S_n = \frac{2.1(1 - 0.7^n)}{0.3}[/tex]
[tex]S_n = 7(1 - 0.7^n)[/tex]
Learn more about the sum of geometric progression at:
https://brainly.com/question/22068689
12. Solve for x. x = ___________
Step-by-step explanation:
this is math right what grade is this
find the slope of the lines graphed below
Answer:
use formula
slope m =(y2-y1)/(x2-x1)
Step-by-step explanation:
for first one
(x1,y1)=(2,1)
(x2,y2)=(0,-3)
now
slope m =(y2-y1)/(x2-x1)=(-3-1)/(0-2)=-4/-2=2
try other thank you hope it helps
OMG PLZ HELP ME! it is due tomorrow.....!
Step-by-step explanation:
Dilations do not change your angles, so although the length does change, your angles will not. So for your answer, the angles will be the exact same.
For the length, all you have to do is multiply each side by 5/2.
8: Multiplied by 5/2 is 20
9: Multiplied by 5/2 is 22.5
7: Multiplied by 5/2 is 17.5
The lengths are getting larger because they're being dilated by a number greater than 1.
I hope this helps :)
Answer:
Answers bellow hope I helped
Step-by-step explanation:
A)Each angle is the SAME becouse we are just making the triangle larger but the angles stay the same so:
Z' = 50°
X' = 70°
Y' = 60°
B)You have to multiply each of the sides by your scale factor so:
Side X'Y' = 7 x 5/2= 17.5
Side X'Z' = 8 x 5/2 = 20
Side Z'Y' = 9 x 5/2 = 22.5
PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST
Answer:
-1
Step-by-step explanation:
solve for x
5 - 2x^2 = -15
Plz help I’ll give branliest plzzz
Given:
The two triangles are similar by SSS.
To find:
The value of x.
Solution:
If two triangles are similar to each other by SSS, then the corresponding sides of the triangles are proportional.
It is given that [tex]\Delta ABC\sim \Delta DE F[/tex]. So,
[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]
[tex]\dfrac{9}{6}=\dfrac{12}{8}=\dfrac{3(x-1)}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
[tex]\dfrac{3}{2}=\dfrac{3x-3}{x+1}[/tex]
On cross multiplication, we get
[tex]3(x+1)=2(3x-3)[/tex]
[tex]3x+3=6x-6[/tex]
[tex]3x-6x=-3-6[/tex]
[tex]-3x=-9[/tex]
Divide both sides by -3.
[tex]x=3[/tex]
Therefore, the value of x is 3.
Given f(x)=x^3 and g(x) = 1 - 5x², find (f o g) (x) and its domain.
Answer:
domain: {x|x∈R}
fog= (1-5x^2)^3= 1-15x^2+75x^4-125x^6
What is 2x + 5 + x − 6 + 3x =?
Help me please I need this by 5:00 help me please
Answer:try doing the method
Step-by-step explanation:
A= Base Side
B= Base Side
C=Base Side
H=Height
HOPE THAT HELPS!
Find the value of x.
Subtracting fractions with unlike denominators
Answer:
Answer is 9/8
Step-by-step explanation:
18/8-9/8=9/8
Answer:
9/8
Step-by-step explanation:
9/4 - 9/8
9/4 x 2 = 18/8 to match denominators
18/8 - 9/8
= 9/8
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If you want it I'm going to va va vroom vroom
Answer:
Um what
Step-by-step explanation:
Can someone message me I need help ASAP by tmr
Plz only find the shaded area only I would appreciate if you did this on paper and showed all steps
The following sequence is arithmetic. Fill in the missing terms.
12 , ? , ? , ? , 18, ? ...
Answer:
12,13.5,15,16.5,18,19.5
Step-by-step explanation:
just add 1.5
Find the value of x.
Assume that segments that appear to be tangent are tangent.
Katia is baking. She uses 2 ⅛ cups of sugar for cookies and 1 ⅗ cups of sugar for a cake. How much total sugar did Katia use?
Answer:
3.725
Step-by-step explanation:
because you add 2.125 (2 1/8) and 1.6 (1 3/5) to get 3.725
Choose the angle which is vertical to ∠ in the following figure.
Answer:
angle DFE
Step-by-step explanation:
PLEASE PLEASE HELP WITH THIS
Answer:
θ = 76°
Step-by-step explanation:
Using the cofunction identity
sinx° = cos(90 - x)°, then
sin14° = cos(90 - 14)° = cos76°
That is θ = 76°
Answer:
in radians o= 0.13716675
Step-by-step explanation:
cos(0)=0.9906074
O= arccos(0.9906074)
O=0.13716675
Which table represents a linaer function
Answer:
Top left table
Answer:
the first one
Step-by-step explanation:
look at the picture if it does make sense let me know
how do i write the product of q and 11 as an algebraic expression
Answer:
since the product meaning multiplication, it basically means 11 (q) which is 11q.
Based on the table, which function models this situation?
Answer:
F(n) =-3n+24
Step-by-step explanation:
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The answer is 207.
Search up the site Mathaway. It gives you answers.
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PLEASE SHOW ALL WORK AND BE SPECIFIC
Answer:
Where is the question? You didn't post it.
Carly is 8/11 the height of her mother, 2/3 the height of her father, 3/4 the height of her older sister, and 5/6 the height of her older brother. Carly is 48 inches tall.
What is the height of the Carly father?
HELP ME PLEASE