Answer:
[tex]9^3[/tex]
Step-by-step explanation:
Rules Used
[tex]a ^x \cdot a^y = a^{x+y}[/tex]
[tex]\frac{b^x}{b^y} = b^{x-y}[/tex]
[tex]\frac{9^6 \cdot 9^0 \cdot 9^4}{9^7} = 9^{6 + 0 + 4 -7} = 9^{10-7} = 9^3[/tex]
Answer:
9^3
Step-by-step explanation:
When we want to multiply exponents, we use the formula a^m x a^n= a^m+n.
In this case, we can see that 9 is our a, and their respective exponents are mn and n.
9^6 x 9^0 x 9^4 = 9^6+0+4= 9^10
When dividing exponents we subtract the exponents for each number from the top. For example, 9^10/9^7= 9^10-7= 9^3
If we want to simplify this even further, 9^3 = 729.
Hope this helps!
:)
How many poles will there be in a stack of telephone piles if there are 58 in the first layer, 57 in the second, 56 in the third, and so on, with 12 in the top layer?
Answer:
1,645 poles
Step-by-step explanation:
Here, we want to calculate the total number of poles
We can have an arithmetic progression here
Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1
Firstly, we calculate the number of stacks which can be obtained using the nth term formula;
Tn = a + (n-1)d
58 = 12 + (n-1)1
58 = 12 + n - 1
58 = n + 11
n = 58-11
n = 47
So we have the stack high up to 47 units
So, using the sum of terms in an arithmetic sequence formula, we have;
Sn = n/2 ( a + L)
where a is the first term 12 and L is the last term 58
Thus, we have
Sn = 47/2( 12 + 58)
Sn = 47/2 * 70
Sn = 1,645
Can someone help me with this question please
Answer:
the anwser is d
Step-by-step explanation:
Here we are given that C is between A and B.
So using the midpoint rule, sum of whole length AB will be addition of lengths AC and BC
Hope that helps
Answer:
AC Or CA
Step-by-step explanation:
So, this is what a b and c would look like on a number line:
A----C----B
However, we dont know exactly what these variables are. THey could be somerthing like this:
A------------------C-B
But this doesnt matter.
If we look at the first numberline, A and C make up the first half of the numberline.
C to B make up the later half.
AB is the total numberline.
SO tecnically, A to C+ C to B = AB
Or:
AC + CB = AB
This can also be seen in the second numberline.
A to C make up almost all of the numberline.
C to B make up a smll amount.
But in the end, AC + CB will still make AB.
Hope this helps you! :D
please help! thank you!
Pls help just type no files
Answer:
36 spoons
Step-by-step explanation:
Solve unit rate problems- in a soccer league the ratio of boys to girls is 4 to 6 there are a total of 50 players in the soccer league determine how many girls play in the soccer league
A.30
B.20
C.10
D.50
Answer:
30 girls
Step-by-step explanation:
boys to girls
4 to 6
since there are 50 players we have
4*5= 20 to 6*5 =30
because 20+30 =50 players and we keep the ratio equivalent since we multiplied by the same number.
Find the sum of the first 31 terms of the following series, to the nearest integer.
5, 14,23,...
Answer:
4340.
Step-by-step explanation:
14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.
Sum of n terms = (n/2)[2a1 + d(n - 1)]
Here n = 31, d = 9 and a1 = 5.
So, substituting, we have:
Sum of 31 terms = (31/2)[2*5 + 9(31-1)]
= 15.5 * 280
= 4340.
Drag and drop the correct angle measures onto the diagram
Answer:
Here you go!
Hope this helps!
If line a has a slope of -3 and is perpendicular to line b, what would is the slope of line b?
Answer:
Slope of line B: 1/3
Step-by-step explanation:
To find a slope perpendicular to another slope, you take its negative reciprocal.
Therefore, line B will have a slope of 1/3 because -3 -> -1/3 -> 1/3
Find the difference:
8 1/9 - (5/9)
Answer: 7 5/9
Step-by-step explanation:
8 1/9 - (5/9) = 68/9 = 7 5/9
7th grade math help me pleaseeee
Answer:
4x + 5y = 20
Step-by-step explanation:
4x + 5y = 20
5y = -4x + 20 (Subtract 4x to isolate 5y. Put the 4x in front of the 20)
y = [tex]-\frac{4}{5}x[/tex] + 4 (Divide all by 5 to isolate y)
And then it's done and in slope-intercept form
[tex]-1< -\frac{4}{5} < 0[/tex] or [tex]-\frac{4}{5}[/tex] is greater than -1 but less than 0
I hope this helped :)
find the length of the missing triangle. round your answer to three decimal places
PLEASE HELP!
Answer:
There is just one simple rules for find other side
Step-by-step explanation:
Think about a triangle and this triangle has 3 side it must have 90° on one edge. We assume the longest side is hipotenus x²+y²=hipotenus² . Look at your question hipotenus is 15 lets try to find other side. X²+12²=15² x=9
Simplify the expression 2 (2 + 4y) + 3x.
PLS ANSWER ASAP DUE 9:20
Answer:
5x+8y
Step-by-step explanation:
We can first open the brackets by using the distrubitive propety.
2(x+4y)+3x
2x+8y+3x
Now we can combine like terms.
5x+8y.
I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.
Hoped this helped,
JoeLouis2
Its a quadratic equation I Dont know exactly how to solve it help please
Answer:
Step-by-step explanation:
(x - 2)(x + 4)
=x(x + 4) -2(x + 4)
=x^2 + 4x - 2x - 8
=x^2 + 2x - 8
(x + 1)(x + 6)
=x(x + 6) +1(x + 6)
=x^2 + 6x + x + 6
=x^2 + 7x + 6
(x - 4)(x + 2)
=x(x + 2) -4(x + 2)
=x^2 + 2x - 4x - 8
=x^2 - 2x - 8
(x + 5)(x - 3)
=x(x - 3) +5(x - 3)
=x^2 - 3x + 5x - 15
=x^2 + 2x - 15
(x - 6)(x - 2)
=x(x - 2) -6(x - 2)
=x^2 - 2x - 6x + 12
=x^2 - 8x + 12
In a normal distribution, what is the probability that a data value will fall below the
data value associated with a z -score of 3.37?
A 99.96%
B 0.04%
C 1%
D 99.95%
Answer:
A 99.96%
Step-by-step explanation:
The z score shows by how many standard deviations the raw score is above or below the mean. The z score is positive if the raw score is above the mean while the z score is negative if the raw score is below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ z=z-score,\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
The probability can be gotten from the normal distribution table. Therefore from the normal table:
P(z < 3.37) = 0.9996 = 99.96%
I need help on this question. I hope you can help!
Answer:
54
Step-by-step explanation:
Since triangle ABC ~ DEF
Angle A = Angle D
Angle A = 54
Andrew is using tiles to decorate a rectangular table that is 4/5 meter long and 2/3 meter wide. What is the area of Andrews table in square meters
Given:
Length of rectangular table = [tex]\dfrac{4}{5}[/tex] meter
Width of rectangular table = [tex]\dfrac{2}{3}[/tex] meter
To find:
The area of the table.
Solution:
Area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is the length and w is the width.
Substitute [tex]l=\dfrac{4}{5}[/tex] and [tex]w=\dfrac{2}{3}[/tex] in the above formula to find the area of the rectangular table.
[tex]A=\dfrac{4}{5}\times \dfrac{2}{3}[/tex]
[tex]A=\dfrac{8}{15}[/tex]
Therefore, the area oft he table is [tex]\dfrac{8}{15}[/tex] square meters.
HELP!!
BONUS!!!
PLS ANSWER A B C OR D
Answer:
About 1 1/2 :)
Step-by-step explanation:
The answer is 1.46 which is close to 1.5
A bag contains balls of five different colors. Two are red, three are blue, ten are white, four are green and three are black. Balls are taken from the bag without looking, and not returned. What is the smallest number of balls that should be taken from the bag to be sure that two balls of the same color have been taken? please explain with the answer
Answer:
6
Step-by-step explanation:
The worst scenario is that of a slight possibility, the first 5 balls you took are completely different color. The chance of this happening is tiny, but if you want to be sure, then you should consider about it.
But, after taking out the sixth ball, you can be sure that the ball, now right on your hand, must share a same color with at least one of the balls you took out, since there are only five colors.
HELP PLEASE
20. What is vertex of the function f(x) = 2x2 – 12x + 10 ?
A. (-2, -8)
B. (3, 18)
C. (3, -8)
D. (2, 10)
Answer:
C
Step-by-step explanation:
my workings are in the image above
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answer:
diagonal, congruent triangles
Step-by-step explanation:
Chen can jump rope 60 times a minute. At that rate, how many jumps can he make in 9 minutes?
Answer:
540 jumps in 9 minutes.
Step-by-step explanation:
60 jumps a minute. Chen is fast, but we need to find how many jumps in 9 minutes.
Let's say one minute is m
m = 60
9m = 60x9
We do x9 because from m to 9m you need to multiply by 9, so lets do that on both sides.
9m = 540
9 minutes = 540 jumps
Hope this helps!
--Applepi101
Write the slope-intercept form of the equation of the line described.
61) through: (-5, -3). parallel to y=-2/5-2
Pick a number less than or equal to 30 from a bag with 40 pieces of paper
numbered 1 through 40.
On the coordinate plane, point T is located at (0,7) and point U is located at (x,-5). The distance between points T and U is 15 units.
What are the two possible values of x?
Answer:
x = 9 or x = -9
Step-by-step explanation:
The parameters of the given points are;
The location of the point T = (0, 7)
The location of the point U = (x, -5)
Then distance between points T and U = 15 units
The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;
[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Therefore, for the given points, T(0, 7) and U(x, -5), we get;
[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]
Squaring both sides, gives;
[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]
∴ x² = 15² - (-12)² = 81 = 9²
x² = 9²
∴ x = ±√(9²) = ± 9
The possible values of x are x = 9 or x = -9
HELPPP PLEASEEEE
Identify the transformations you would apply to f(x) = sin x to graph f(x) = 0.5 sin (x - 30%)
A ball is thrown horizontally at the speed of 24 meters per second from the top of a cliff. If the ball hits the ground 6.0 seconds later, approximately how high is the cliff?
Answer:
[tex]h=4m[/tex]
Step-by-step explanation:
Speed [tex]V=24m/s[/tex]
Time [tex]t=6.0s[/tex]
Generally the equation for Height is mathematically given by
[tex]h=\frac{V}{t}[/tex]
[tex]h=\frac{24}{6}[/tex]
[tex]h=4m[/tex]
a line goes through the points (6,3) and (-6,-3). Find its slope provide the answer as a fraction simplified in lowest
Answer:
1/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-3 - 3 / -6 - 6
-6 / -12
= 1/2
We want to find the slope of a line given that we know that the line passes through the points (6, 3) and (-6, -3).
We will find that the slope is: 1/2
A general line can be written as:
[tex]y = a\cdot x + b[/tex]
Where a is the slope and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂) then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We know that our line passes through (6, 3) and (-6, -3), then the slope of our line will be:
[tex]a = \frac{-3 - 3}{-6 - 6} = \frac{-6}{-12}[/tex]
Now to simplify this, we know that:
-12 = 2×(-6)
Replacing that in the above equation we get:
[tex]a = \frac{-3 - 3}{-6 - 6} = \frac{-6}{-12} = \frac{-6}{2\cdot -6} = \frac{1}{2}[/tex]
Then the slope written as a simplified fraction is:
a = 1/2
If you want to learn more, you can read:
https://brainly.com/question/3605446
que es el rango en matemáticas
Help me please ITS DUE IN 6 MINS PLEASE
Answer: -6y-12 and 5.5h+14
Step-by-step explanation:
-2(3y+6) = -6y-12
5.1h-2.6h+3(h+4)= 2.5h + 3h+14 = 5.5h+14
PLS HELP Find the value of x.
A. 4
B. 2
C. 7
D. 14
Answer:
ANSWER IS B
Step-by-step explanation:
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4/2
x = 2
Answer:
B. 2
Step-by-step explanation:
The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:
5(2) - 3 = 3(2) + 1
10 - 3 = 6 + 1
7 = 7
So x is 2