Examine the tile pattern at right
b. The pattern grow by adding 1 tile above the tile and adding 1 tile at the right of the tile.
c. In figure 0, there will be 1 tile. We know this because in each successive figures a tile is added at the above and a tile is added to the right, so ineach preceeding figure the same is reduced. In figure 1, there are e tiles, so in figure 0, there will be 3-2 = 1 tile.
What is the smallest number that has both 8 and 9 as a
factor?
A 72
B 36
C 54
D 48
Answer:
A
Step-by-step explanation:
8 and 9 can go in 72.
Look for the LCM of 72
Answer:
72
Step-by-step explanation:
72 has both 8 and 9 as its factors from the alternatives
Apart from 72,
the available options does not have both 8 and 9 being its factors.
If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .
Divide through everything by b :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}[/tex]
Since a/b < c/d, it follows that
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}[/tex]
Multiply through everything on the right side by b/d to get
[tex]\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd[/tex]
and so (a + c)/(b + d) < c/d.
For the other side, you can do something similar and divide through everything by d :
[tex]\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}[/tex]
and a/b < c/d tells us that
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}[/tex]
Then
[tex]\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab[/tex]
and so (a + c)/(b + d) > a/b.
Then together we get the desired inequality.
The winning team's score in 5 high school basketball games was recorded. If the sample mean is 62.3 points and the sample standard deviation is 11.0 points, find the
98% confidence interval of the true mean.
A) 57.4 < µ < 67.2 B) 50.8 < µ < 73.8
C) 25.4 < µ < 99.2 D) 43.9 < µ < 80.7
Answer:
This is 3.747*11/sqrt(5)=18.4
the interval is (49.9,86.7), the SE added to and subtracted from the mean.
It is B
Thank You
what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x
This is college? Woah I'm not advanced. Middle school!
if f(x)=3x+8/2x-Aand f(0)=2.what is the value of a?
Answer:
[tex]a=-4[/tex]
Step-by-step explanation:
Since [tex]f(x)=\frac{3x+8}{2x-a}[/tex], we have
[tex]2=f(0)=\frac{3(0)+8}{2(0)-a}=-\frac8a[/tex]
Taking the reciprocal gives
[tex]-\frac a8=\frac12[/tex]
Then multiplying by [tex]-8[/tex] gives
[tex]a=\frac12(-8)=-4[/tex]
Solve the equation. 14 = a – 8
Answer:
[tex]14 = a - 8 \\ \\ - a = - 8 - 14 \\ \\ - a = - 22 \\ \\ a = 22[/tex]
help me solve this problem
Step-by-step explanation:
i don't get the question
-1 and 3 tenths plus 4 tenths
The answer you are looking for is -9/10, or -0.9.
Solution:
-1 3/10+4/10
-13/10+4/10
-9/10, or -0.9
Answer:
-0.9
Step-by-step explanation:
How to solve 3/7m=6 ?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m = 14[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm'...}}}\\\\(\frac{3}{7}) m=6\\\\-------------\\\rightarrow (\frac{3}{7}m)7 = 6*7\\\\\rightarrow 3m = 42\\\\\rightarrow \frac{3m=42}{3}\\\\\rightarrow \boxed{m= 14}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
For what values of k will the equation 4x² + 8x + k = 0 have two complex solutions?
Answer:
k = -4x² - 8x
Step-by-step explanation:
Subtract 4x² from both sides of the equation.
8x + k = -4x²
Subtract 8x from both sides of the equation.
k = -4x² - 8x
Answer:
k > 4
Step-by-step explanation:
Using the discriminant to determine the nature of the solutions
• If b² - 4ac < 0 then the solutions are not real, that is they are complex
Given
4x² + 8x + k = 0
with a = 4, b = 8, c = k , then
8² - (4 × 4 × k) < 0
64 - 16k < 0 ( subtract 64 from both sides )
- 16k < - 64
Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.
k > 4
Any value of k greater than 4 will mean the equation has 2 complex solutions
Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15
Answer:
x ≠ -4, -1, 3
Step-by-step explanation:
12/(x^2+5x+4) = 8x/(5x-15)
12/((x+1)(x+4)) = 8x/(5(x-3))
division by zero is undefined
There are 3 answers to your question. x= -1 x= 3 x= -4
Complete the slope-intercept form of this line.
y=-4x +
Answer:
It is y = -4x + 9
Step-by-step explanation:
General equation of a line:
[tex]y = mx + c[/tex]
For a y-intercept, c :
consider point (2, 1):
y is 1, x is 2 and m is -4
[tex]y = mx + c \\ 1 = (2 \times - 4) + c \\ 1 = - 8 + c \\ c = 1 + 8 \\ c = 9[/tex]
therefore, equation is:
[tex]y = - 4x + 9[/tex]
The complete form of the equation is y = - 4x + 9
The slope intercept form of the line is given as:
y = - 4x + c
Where c = intercept , we need to calculate, c
Take any given value of y and x and substitute into the equation, the solve for c
Take x = 1, y = 5
5 = - 4(1) + c
5 = - 4 + c
Add 4 to both sides
5 + 4 = - 4 + c + 4
9 = c
Hence, the complete form of the equation is y = - 4x + 9
Learn more : https://brainly.com/question/20976827?referrer=searchResults
Can anyone solve this linear equation with elimination method? Please its important!
ANSWER FAST 50 POINTS PLEASE !!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)
Line 1-Line 2-Associative property .
Line 2-Line 3- Distributive property
Solution:-
[tex]\\ \rm\longmapsto (9+x)x[/tex]
[tex]\\ \rm\longmapsto x(x+9)[/tex]
[tex]\\ \rm\longmapsto x(9+x)[/tex]
[tex]\\ \rm\longmapsto x^2+9[/tex]
If your destination is 60 miles away, how many mph do you have to travel, in order to get there in 15 minutes
Answer:
4 miles per hour
Step-by-step explanation:
Write sentences to explain 1/5 x 1/2 = 1/10
Answer:
Explaination down below
Step-by-step explanation:
Before you start this question, make sure you know this rule. When multiplying fractions, Multiply the numerator by the other numerator and multiply the denominator by the other one.
[tex]\frac{1}{5}[/tex] x [tex]\frac{1}{2}[/tex]. 1*1=1, so one is the numerator. 2*5= 10 so 10 is the denominator.
The final answer is [tex]\frac{1}{10}[/tex].
You could also look at it another way. What is one half of one-fifth?
That is another way to look at it.
If this helped, please mark me as brainliest. Thank you! ;)
x/5=13
how do you solve for x
Answer:
X=65
Step-by-step explanation:
X/5=13
X=13×5
=65
hope it helps!!!
0.92403 to the nearest ten-thousandth
Answer:
bff
Step-by-step explanation:
bfbfb
Answer:
0.9240
Step-by-step explanation:
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
Answer:
7 DVDs
Step-by-step explanation:
Christine spent $29.50 in total, and $5 on the membership.
so the amount of money spent on DVDs is $29.50 - $5, or $24.50.
The number of DVDs she rent are $24.50 / $3.50 = 7 DVDs
Answer:
7 DVDs
Step-by-step explanation:
We can create an equation to found out how many DVDs she rents. Let d = number of DVDs she rents.
3.50d + 5 = 29.50
~Subtract 5 to both sides
3.50d = 24.50
~Divide 3.50 to both sides
d = 7
Best of Luck!
12.5 x 0.8
(without rounding and pls help me)
Answer:
That’s simple 10
Step-by-step explanation
Let me know if I’m correct
hope this helps
pls help! I need the answer quickly!
========================================================
Explanation:
Let's say we had a circle with radius 5
It's area would be
A = pi*r^2
A = pi*5^2
A = 25pi
Now let's increase this by a factor of 4. We'll multiply the area by 4
new area = 4*(old area) = 4*(25pi) = 100pi
Now, we'll use this area value to find what the radius must be
A = pi*r^2
100pi = pi*r^2
100 = r^2
r^2 = 100
r = sqrt(100)
r = 10
The old radius r = 5 jumps to r = 10 so that the area quadruples.
We see that the radius has doubled. This must also mean the perimeter around the circle, aka circumference, must also have doubled.
C = 2*pi*r = 2*pi*5 = 10pi = old circumference
C = 2*pi*r = 2*pi*10 = 20pi = new circumference
This is directly because r has been doubled
-------------
Here's one way to think of why this works:
Consider a square of side lengths 3. It's area is 3*3 = 9.
If we double the sides, then we have a 6 by 6 square of area 6*6 = 36.
Note the jump from 9 to 36 is "times 4". This multiplier 4 is from each side doubling and we have 2*2 = 4.
If you were to triple each side, then the area multiplier would be 3*3 = 9
Multiplying each side by k leads to an area multiplier of k^2.
A light aircraft travels 6 miles per hour less than three times the speed of a van. If the van can travel 72 miles in the same time it takes the aircraft to travel 204 miles, then what is the average speed of each?
Answer:
Van: 36 mph.
Plane: 102 mph.
Step-by-step explanation:
x = speed of van
y = common time value
(3x - 6) * y = 204 // plane
x * y = 72 // van
3xy - 6y = 204 // plane simplified
We can now substitute 72 for xy in the equation above.
3*72 - 6y = 204 --> 216 - 6y = 204
We now subtract 216 from both sides.
-6y = -12
We now divide both sides by -1 to get rid of the negative sign & then divide both sides by 6 to simplify.
y = 2
If x*y = 72, then x = 72/y = 72/2 = 36.
Thus, the speed of the van is 36 mph.
We can find the speed of the plane by using the equation from earlier, 3x - 6.
3x - 6 = 3*36 - 6 = 108 - 6 = 102.
find the GCF from the two numbers and rewrite the sum using nthe distributive property
24 + 36
Answer:
The greatest common factor is 6.
Step-by-step explanation:
Greatest common factor is 6. If you use the distributive property then the answer would be 6(4) + 6(6) or 6(4+6). Then you distribute the 6 to each digit and should get 24+36.
Select the variable for the number of miles traveled last month. Conduct a hypothesis test to determine whether the mean miles traveled last month equals 10,000. Use the .01 significance level. Find the p-value and explain what it means.
look it up dum dum this app got me a f+ >:(
Consider the set A with n(A) = 20. How many subsets could be formed from this set?
Answer:
There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]
Step-by-step explanation:
Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is
[tex]2^{n(A)}=2^{20}[/tex]
Robins 15 18 27 30 cardinals 5 6 9 10 what’s the proportionality ratio of robins to cardinals
Answer:
3:1
Step-by-step explanation:
The Robins' numbers are 3 times the cardinal's numbers, so therefore when simplified, the ratio is 3 to 1, 3:1, or 3/1.
This cube and cuboid have the same volume. The length, width and height of the cuboid are all different whole numbers. Suggest what they might be. 4 cm 4 cm width 4 cm height length
Answer:
4hdunzkzmfindudjdkzmd
find the value of x
x = [?]
Answer
4
Step by step explanation
2/3=x/10-x
cross multiply
2(10-x)=3x
20-2x=3x
20=3x+2x
20=5x
x=4
6.5 / (2.2 x 3.6 / 7.92)
(pls help)
Answer:
6.89
Step-by-step explanation:
Do what's in the parentheses first then the rest and I rounded. Hope this helps!