Answer:
Step-by-step explanation:
4 4 4
4 4 6
4 6 6
4 6 4
6 6 6
6 6 4
6 4 4
6 4 6
What is the value of A when we rewrite (1/8)^x + (1/8)^x-2 as A x (1/8)^x
Answer:
-63
Step-by-step explanation:
Given the expression:
[tex](1/8)^x + (1/8)^{x-2}[/tex]
Using the law of indices, this can be written as:
[tex](\frac{1}{8})^x-(\frac{1}{8} )^x * (\frac{1}{8})^{-2}\\(\frac{1}{8})^x (1-(\frac{1}{8})^{-2})\\(\frac{1}{8})^x(1-8^2)\\(\frac{1}{8})^x(-63)\\-63(\frac{1}{8})^x\\[/tex]
This shows that the value of A is -63
Answer:
EVERYONE THE ANSWER IS …. 65
Step-by-step explanation:
I did the quiz I hate it :(
Find the slope of the line passing through the points D (10, 8) and E (-4,4)
Answer:
Slope=2/7
Step-by-step explanation:
Slope=rise/run
[tex]rise = 8 - 4 = 4 \\ run = 10 - ( - 4) = 14 \\ slope = \frac{4}{14} = \frac{2}{7} [/tex]
Segment addition and midpoints.
======================================================
Explanation:
AC = 13 and BC = 8
Those two facts must mean AB = AC-BC = 13 - 8 = 5.
Similarly, CD = BD - BC = 12 - 8 = 4
So,
AD = AB + BC + CD
AD = 5 + 8 + 4
AD = 17
------------
Another way to approach this problem would be to say
AD = AC + BD - BC
AD = 13 + 12 - 8
AD = 17
This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.
Answer:
Segment AD is 17.
Step-by-step explanation:
We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.
To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).
To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)
Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)
The length of Segment AD is 17.
Can someone help me with this math homework please!
Answer:
The graph for a member's yearly cost for total game tokens purchased would have a y-intercept of (0, 60). However, the nonmember's yearly cost would have a different y-intercept of (0,0). This is because the member's yearly cost has a yearly initial fee of $60, while as the nonmember yearly cost doesn't include an inital fee. Also, the graph for the nonmember's yearly cost would be steeper than the member's graph because the slope 1/5 is greater than 1/10.
Hope this helps (●'◡'●)
The fractions 1/10 and 1/5 convert to 0.1 and 0.2 respectively.
So the equations y = (1/10)x+60 and y = (1/5)x are the same as y = 0.1x+60 and y = 0.2x in that order.
We see that the nonmember cost graph is steeper since the slope 0.2 is larger than 0.1; the further we move away from 0, the steeper the slope. A steeper slope means that you pay more per token. This is the unit cost.
Specifically, you would pay 0.20-0.10 = 0.10 more dollars per token if you are a nonmember compared to if you are a member.
---------------------------
Also, notice that the y intercepts of y = 0.1x+60 and y = 0.2x are 60 and 0 in that order. The members pay an up front fee of $60 before they can buy any tokens. Nonmembers don't have to pay an upfront cost.
Visually, the graph for the members will be much higher up compared to the nonmembers graph. Both lines are increasing, but the members graph is increasing less overall. At some point, the two lines intersect. After this point, it makes more sense to be a member.
Lorraine writes the equation shown.
x squared + y minus 15 = 0
She wants to describe the equation using the term relation and the term function.
The equation represents
Answer:
xy is equal to 15 Q understood
Answer:
Its A
Step-by-step explanation:
HELP QUICK PLEASE!
Given: AC BD and AD BC
B
D
What postulate could prove DCA ACDB
O Side-Side-Side
O Side-Angle-Side
Angle-Side-Angle
Angle-Angle-Side
Answer:
Step-by-step explanation:
Side - side - side. In fact the two triangles have the side CD in common
write the equation of a circle who’s center is (6,-7) and who’s radius is 4
Answer:
(x-6) ^2 + (y+7)^2 = 16
Step-by-step explanation:
We know the equation of a circle is given by
(x-h) ^2 + (y-k)^2 = r^2 where ( h,k) is the center and r is the radius
(x-6) ^2 + (y- -7)^2 = 4^2
(x-6) ^2 + (y+7)^2 = 16
help me solve this percentages and prices. (show your work)
Answer:
$34.50
$1.01
Step-by-step explanation:
For these two problems, you must find a percent of a number. Since percentages can easily be turned into decimals, this is easy to do. First, turn the percent into a decimal by moving the decimal point two to the left; so, 6.25% becomes 0.0625. Then, multiply this number by the cost, 32.47. Finally add that, 2.02, to the cost to get the final answer, $34.50. For the next question do the same. Turn the percent into a decimal and then multiply that by the cost to get the total tax, $1.01.
please I really need help with this
Answer:
24
Step-by-step explanation:
(1+25) - (16)(1/8)
26 - 2
24
Cheers
Answer:
24
Step-by-step explanation:
(1+5^2) -16 ( 1/2)^3
PEMDAS
Parentheses first
Exponents in the parentheses
(1+25) -16 ( 1/2)^3
Then add in the parentheses
(26) -16 ( 1/2)^3
Then exponents
(26) -16 ( 1/8)
Then multiply
26 - 2
Then subtract
24
aint the answer for this 10 just let me if im wrong
Answer:
Yup
Step-by-step explanation:
Please answer srep by step if can!!
Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow
What is the measure of n
Answer:
n = [tex]\sqrt{32}[/tex]
Step-by-step explanation:
The 2 right triangles inside the larger right triangle are similar , so corresponding sides are in proportion
[tex]\frac{8}{n}[/tex] = [tex]\frac{n}{4}[/tex] ( cross- multiply )
n² = 32 ( take the square root of both sides )
n = [tex]\sqrt{32}[/tex]
An experiment consists of rolling a six sided die to select a number between between 1 and 6 and drawing a card at random from a set of 10 cards numbered 1,2,3,...10. Which event definition corresponds to exactly one outcome of the experiment?
Answer:
Man this is confusing
Step-by-step explanation:
add 7 with the diffrence of 12 and 9 =
Answer:
7+3 = 10
Step-by-step explanation:
if I understand the problem strangeness right, and there is nothing missing in it, then this is the simple answer.
the difference of 12 and 9 is 12-9 = 3.
and then adding this 3 to 7 is 7+3 =10
Answer:
10
Step-by-step explanation:
The difference of 12 and 9 is 3.
Now,
If we add 7 to 3, the answer is 10.
What is the value of x that makes the given equation true?
2(x−8)=x+5x
a x=-4
b x=-16
c x=-2
d x=0
Answer:
x = -4
Step-by-step explanation:
2(x−8)=x+5x
Distribute
2x - 16 = x+5x
Combine like terms
2x-16 = 6x
Subtract 2x from each side
2x-16 = 6x-2x
-16 = 4x
Divide by 4
-16/4 = 4x/4
-4 =x
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{2(x-8)=x+5x }[/tex] [tex]\sf{2x-16=6x }[/tex] [tex]\sf{2x-6x=16 }[/tex] [tex]\sf{-4x=16 }[/tex] [tex]\sf{ x=\dfrac{16}{-4} }[/tex] [tex]\sf{x=-4 }[/tex][tex]\sf{ }[/tex]
Find the sum of the arithmetic sequence: -94, -112, -130,...; S10
A) 1280
B)-1280
C)-130
D) -1750
Answer:
D) -1750
Step-by-step explanation:
[tex]{ \boxed{ \bf{sum = \frac{n}{2}(2a + (n - 1)d) }}}[/tex]
n is number of terms, n=10.
a is first term, a=-94
d is common diffrerence, d = -112-(-94) = -18
[tex]{ \sf{sum = \frac{10}{2} ( - 188 + (10 - 1) \times - 18)}} \\ { \sf{sum = - 1750}}[/tex]
Please help me out with this one!
Answer:
87 in^2
Step-by-step explanation:
24 + 18 + 15 + 30
the 30 is 2(1/2 * 5 * 6)
2. If f(x) = 2x2 – 7x -10, find the following: a) f(x-1) b) x, if f(x) = 5 Please helpppppp
Answer:
a) f(x-1) = 2x^2-11x-1
b) x = -1.5 or 5
Step-by-step explanation:
a) To get f(x-1)
We proceed to substitute x-1 for x as follows
f(x-1) = 2(x-1)^2 -7(x-1) -10
f(x-1) = 2(x^2 - 2x + 1) -7(x-1)-10
f(x-1) = 2x^2 -4x + 2 -7x + 7-10
f(x-1) = 2x^2-11x-1
b) What we have to do here is substitute 5 for f(x) and solve for x
5 = 2x^2 -7x-10
2x^2 -7x -10-5 = 0
2x^2 - 7x - 15 = 0
2x^2 -10x + 3x -15 = 0
2x(x-5) + 3(x-5) = 0
(2x + 3)(x-5) = 0
2x + 3 = 0 or x -5 = 0
2x = -3 or x = 5
x = -3/2 or x = 5
x = -1.5 or 5
What is the measure of ABC?
Answer:
63
Step-by-step explanation:
Hi there!
In order to find the answer to this question we must know about:
The angles of intersecting chords theorem
The theorem states that if two chords intersect the angles formed at the intersection is equal to half the sum of its intercepted arc and it's vertical angle's intercepted arc.
Angle ABC is formed by intersecting chords meaning that the measure of angle ABC is equal to half the sum of its intercepted arc + it's vertical angle's intercepted arc ( angle ABC vertical angle is angle EBD. Angle EBD's intercepting arc is arc ED. )
Angle ABC intercepted arc is AC
Hence Angle ABC = 1/2 ( arc AC + arc ED)
Arc ED = 44 and arc AC = 82
Thus, angle ABC = 1/2(82 + 44)
82 + 44 = 126
126/2=63
Hence Angle ABC = 63
The patio on the landscaping blueprint measures 2 inches wide and 5.5 inches long.If the actual patio is going to have a width of 20 feet, what would its length be?
Answer:
55 feet
Step-by-step explanation:
simple 5.5 x 10
Answer:
660 inches or 55 feet
Step-by-step explanation:
20 feet * 12 = 240 inches
2/5.5 = 240/×
2x = 240 * 5.5
2x= 1320
x=660 inches
660 inches ÷ 12 = 55 feet
C=-(251x3+281)+3X251-(1-281)
Answer:
-1
Step-by-step explanation:
=-251x3+281 +251x3-1+281
=-1
f(x) = x2 + 3x + 2 is shifted 2 units left. The result is g(x). What is g(x)?
Answer:
[tex]g(x) = x^2+7x+12[/tex]
Step-by-step explanation:
If we are given a function f and we want to shift it a units horizontally, the resulting function will be f(x - a), where a positive a is a shift rightwards and a negative a is a shift leftwards.
We have the function:
[tex]f(x)=x^2+3x+2[/tex]
And we want to shift it two units to the left.
Since we want to shift it two units to the left, a = -2. Therefore, our new function, let's call it g, must be f(x - (-2)) or f(x + 2). Substitute:
[tex]g(x) = f(x+2)=(x+2)^2+3(x+2)+2[/tex]
Simplify. Expand:
[tex]g(x) = (x^2+4x+4)+(3x+6)+2[/tex]
Combine like terms. Hence:
[tex]g(x) = x^2+7x+12[/tex]
Classify the following triangle. Check all that apply.
Find the value of x.
A. 70
B. 30
C. 65
D. 40
Answer:
Option (A)
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in ΔBCP,
m∠CBP + m∠CPB + m∠BCP = 180°
15° + 20° + m∠BCP = 180°
m∠BCP = 145°
m∠ACB + m∠BCP = 180° [Linear pair of angles are supplementary]
m∠ACB + 145° = 180°
m∠ACB = 35°
Since, ∠ACB is the inscribed angle and AB is the intercepted arc.
Therefore, m(arc AB) = 2m(∠ACB)
m(arc AB) = 2 × 35°
= 70°
Therefore, Option (A) is the correct option.
which of the followingis multiplicative of -a? (-1/a a 1 1/a)
Given:
The given value is [tex]-a[/tex].
To find:
The multiplicative inverse of [tex]-a[/tex].
Solution:
We know that [tex]y[/tex] is the multiplicative interval of [tex]x[/tex] if [tex]xy=1[/tex].
Let [tex]x[/tex] be the multiplicative inverse of the given value [tex]-a[/tex]. Then,
[tex](-a)\times x=1[/tex]
Divide both sides by [tex]-a[/tex].
[tex]x=\dfrac{1}{-a}[/tex]
[tex]x=-\dfrac{1}{a}[/tex]
Therefore, the multiplicative inverse of [tex]-a[/tex] is [tex]-\dfrac{1}{a}[/tex]. Hence the correct option is A.
Which of the following points is not a solution of the inequality y ≥ |x| + 3?
(-3, 6)
(0, 4)
(-3, 0)
========================================================
Explanation:
If we plug the coordinates of point A into the inequality, then we get
y ≥ |x| + 3
6 ≥ |-3| + 3
6 ≥ 3 + 3
6 ≥ 6
Which is true. Since we're looking for a non-solution, we rule out choice A.
You should find choice B is a similar story to choice A, so we can rule this out as well.
-----------
Choice C is the answer because
y ≥ |x| + 3
0 ≥ |-3| + 3
0 ≥ 3 + 3
0 ≥ 6
which is false.
Check out the graph below and notice how point C is not in the shaded solution region, and it's not on the boundary either. This is a visual way to quickly find the answer.
The boundary line y = |x|+3 is solid because of the "or equal to". We shade above the boundary line due to the greater than sign.
What is true about angle ∠APD?
Answer:
HEY MATE FIRST OF ALL THE QUESTION IS NOT COMPLETE. TRY MAKING IT MORE CLEAR NEXT TIME !
Step-by-step explanation:
IF THE QUESTION IS THIS IN THE BELOW THEN HERE IS THE ANSWER .
What is true about angle ∠APD?
It is to angle Angle A P C.
It is to angle Angle C P B.
SOLUTION :
Answer: It is supplementary to angle Angle A P C.
It is vertical to angle Angle C P B.
I hope this help :)
what is 12.5% of 10 kg in grams
Answer:
1250 g
Step-by-step explanation:
12.5% of 10 kg
12.5% of 10000 g
.125 of 10000 g
.125 * 10000 g
1250 g
Answer:
1250 gramsStep-by-step explanation:
[tex] \frac{12.5}{100} \times 10kg = x \: grams[/tex]
[tex]1.25kg = 1250 \: grams[/tex]
1.If a number is chosen at random from the integers 5 to 25 inclusive , find the probability that the number is a multiple of 5 or 3.
2.Good Limes =10
Good Apples = 8
Bad Limes = 6
Bad Apples 6
The information above shows the number of limes and apples of the same size in a bag . If two of the fruits are picked at random , one at a time without replacement .Find the probability that :
I. Both are good limes
II.Both are good fruits
III. One is a good apple and the other a bad lime
I'll do problem 1 to get you started.
set A = multiples of 3 between 5 and 25 = {6, 9, 12, 15, 18, 21, 24}
there are 7 items in set A, so we can say n(A) = 7
set B = multiples of 5 between 5 and 25 = {5,10,15,20,25}
Here we have n(B) = 5
set C = multiples of 3 and 5, between 5 and 25 = {15}
n(C) = 1 which we can rewrite as n(A and B) = 1.
-----------------------------------------
To summarize so far,
n(A) = 7n(B) = 5n(A and B) = 1From those three facts, then we can say,
n(A or B) = n(A) + n(B) - n(A and B)
n(A or B) = 7 + 5 - 1
n(A or B) = 11
There are 11 values between 5 and 25 that are multiples of 5, multiples of 3, or both.
Those 11 values are: {5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}
This is out of 25-5+1 = 21 values overall which are in the set {5,6,7,...,24,25}
So we have 11 values we want out of 21 overall, which leads to the probability 11/21
Final Answer: 11/21
Answer:
Solution given:
total outcomes between 5 to25 inclusive
n[T]=25-5+1=21
multiple of 5n[5]=5,10,15,20,25=5
multiple of 3n[3]=6,9,12,15,18,21,24=7
now
probability of getting multiple of 5p[5]=5/21
and
probability of getting multiple of 3 p[3]=7/21=1/3
again
the probability that the number is a multiple of 5 or 3 P[5or 3]=p[5]+p[3]=5/21+1/3=4/7
the probability that the number is a multiple of 5 or 3 is 4/7.2:
.Good Limes n[GL] =10
Good Apples n[GA]= 8
Bad Limes n[BL] = 6
Bad Apples n[BA]= 6
total fruits n[T]=10+8+6+6=30
no of good apple n[G]=10+8=18
no of bad apple n[B]=6+6=12
again
I. Both are good limes
=[tex]\frac{n[GL]}{n[T]}×\frac{n[GL]-1}{n[T]-1}[/tex]
=10/30*9/29=3/29
II.Both are good fruits
=[tex]\frac{n[BL]}{n[T]}×\frac{n[BL]-1}{n[T]-1}[/tex]
=6/30*5/29=1/29
III. One is a good apple and the other a bad lime
=n[G]/n[T] *n[B]/(n[T]-1)
=18/30*12/29=36/145