Answer:
Step-by-step explanation:
A?
What is the explicit formula for the geometric sequence 2, 6, 18, 54, …?
Answer:
3x
Step-by-step explanation:
You multiply the pervious number with 3 to get the next number
For example 2 times 3 = 6
6 times 3 = 18
18 times 3 =54
54 times 3= 162
So on and so forth
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
Drag and drop the correct angle measures onto the diagram
Answer:
Here you go!
Hope this helps!
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%
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
Dana bought almonds at $8 per can and cashews at $12 per can. In total she bought 470 cans of nuts. Her total bill was $4260. How many cans of each type of nut did she buy? Use either substitution or elimination to solve this problem.
Answer:
almonds =345, cashews=125
Step-by-step explanation:
a=almonds, c=cashews
8a+12c=4260. Equation 1
a + c= 470 Equation 2
a=470-c. Isolate a from equation 2
8(470-c)+12c=4260 sub value of a from equation 2 into equation 1
3760-8c+12c=4260
4c=500
c=125
solve for a by substituting value of c into either equation
a+c=470
a+125=470
a=345
What are the solutions to the equation 0=x^2+4x+8?
Answer:
this are the equation I was taught
Step-by-step explanation:
_(x2+4x+8)=0
How many pages would same have finished in 126 minutes
A.18
B.13
C.24
D.42
Answer:
Sam will finish 42 pages in 126 minutes.
Step-by-step explanation:
Number of pages read by Sam = 6
Time taken to read these pages = 18 minutes
Rate at which Sam is reading the pages of the book = [tex]\frac{\text{Number of pages read}}{\text{Time taken to read these pages}}[/tex]
= [tex]\frac{6}{18}[/tex]
= [tex]\frac{1}{3}[/tex] pages per minute
Number of pages read in 126 minutes = Rate of reading × Time
= [tex]\frac{1}{3}\times 126[/tex]
= 42 pages
Therefore, Sam will finish 42 pages in 126 minutes.
279 students went on a field trip. Five buses were filled and 9 students traveled in cars. How many students were in each bus? PLEASEEEEE HELPPPPP ME you get 60 points i dont know if anyone cares but hey
Answer:
90 students.
Step-by-step explanation:
279-9=270, and 270 divided by 9 is 90.
A quadrilateral is a parallelogram if each____ divides a parallelogram into two____.
Answer:
diagonal, congruent triangles
Step-by-step explanation:
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
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
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
What is the perimeter of the triangle? Units
Answer:
the area of triangle is the product of the base and height divided by 2
Step-by-step explanation:
follow me
Answer:
Perimeter=a+b+c
Step-by-step explanation:
As perimeter is sum of all sides so,
Let sides of triangle be a, b and c
Perimeter=a+b+c
Mark me as brainliest
Thanks
helpppp pleaseee its hard
Answer:
Ten thousands
Step-by-step explanation:
Replace all other digits with zero
This gives 40,000
Ten thousand (10,000) has the same amount of digits
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
Evaluate and reduce:
12 + (12)
Enter the number that belongs in the
green box.
[?]
Answer:
24
Step-by-step explanation:
12 + (12)
first do for the bracket
12 + 12
24
The object below is made with six identical cubes. Each cube edge is 3 inches long.
As
3 in.
What is the surface area of the object in square inches?
Answer:
306 square inches.
Step-by-step explanation:
All surfaces of the cubes are exposed to the outside except 2 ( where 2 of the cubes join).
6 separate cubes have 6 * 6 faces exposed so this object has 36 - 2 = 34 surfaces exposed.
Each face of one cube = 3*3 = 9 in^2.
Therefore the surface area = 9 * 34 = 306 in^2.
solve the equation 4^y = 8
Answer:
y = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
4 = 2² and 8 = 2³ , then
[tex]4^{y}[/tex] = 8, can be written
[tex](2^2)^{y}[/tex] = 2³
[tex]2^{2y}[/tex] = 2³
Since bases on both sides are equal, both 2, then equate exponents
2y = 3 ( divide both sides by 2 )
y = [tex]\frac{3}{2}[/tex]
y = 1.5
Step-by-step explanation:
[tex] {4}^{y} = 8[/tex]
Take the logarithm of both sides and you will get
[tex] \log {4}^{y} = y \log4 = \log8[/tex]
or
[tex]y = \frac{\log8}{ \log4} = 1.5[/tex]
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
please help! thank you!
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.
que es el rango en matemáticas
Write the slope-intercept form of the equation of the line described.
61) through: (-5, -3). parallel to y=-2/5-2
Help down below please
Answer:
Step-by-step explanation:
1. Three million, two hundred ninety eight thousand, seventy six
2. 50,003,087
50,000,000+3000+87
3. 60,400,239
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]
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
Is 3.02859 a ratio number
Answer:
no
Step-by-step explanation:
it is irrational.
What is the area of a triangle whose sides are 15 cm, 8 cm and 19 cm?