Answer:
Exponent form
[tex] {6}^{5} [/tex]
Answer:
6^5
Step-by-step explanation:
6 x 6 x 6 x 6 x 6
There are 5 6's multiplied together
The base is 6 and the power is 5
6^5
Consider the sequence:
1000,-500,250,-125
What is the 7th number in the sequence? Write your answer as a fraction
Answer:
The 7th number in the sequence is [tex]\frac{125}{8}[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is always the same, called common ratio.
The nth term of a geometric sequence is given by:
[tex]A_n = A(0)r^{n-1}[/tex]
In which A(0) is the first term and r is the common ratio.
1000,-500,250,-125
This means that [tex]A(0) = 1000, r = -\frac{500}{1000} = -\frac{1}{2}[/tex]
So
[tex]A_n = A(0)r^{n-1}[/tex]
[tex]A_n = 1000(-\frac{1}{2})^{n-1}[/tex]
What is the 7th number in the sequence?
This is [tex]A_7[/tex]. So
[tex]A_7 = 1000(-\frac{1}{2})^{7-1} = \frac{1000}{64} = \frac{125}{8}[/tex]
The 7th number in the sequence is [tex]\frac{125}{8}[/tex]
please help this is due today! geometry
Find the distance between the points (4.3) and (0, 3).
Find the surface area of the figure.
Answer:
The surface area of the figure is 452.2m2 (A)
if (-1,4) and (3,-2) are end points of diameter of the circle, then the equation of the circle is
Answer:
If you've more doubts you can ask :)
Step-by-step explanation:
If the centre of a circle is (a, b) and radius r, then the equation of the circle is :
[tex](x - x)^2 + (y-b)^2 = r^2[/tex]
First we will find the centre, (a , b):
[tex]a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1[/tex]
Find radius:
[tex]Radius, r = \frac{Diameter}{2}[/tex]
Diameter is the distance between (-1, 4) and (3, -2)
[tex]diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\[/tex]
[tex]= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units[/tex]
Therefore , [tex]r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units[/tex]
Equation of the circle is :
[tex](x - 1)^2 +(y-1)^2 = 13[/tex]
Wll mark Brainlest helllppoooooo
Answer:
Step-by-step explanation:
f(x) = (2x^2 + 1)
( f(3 + h) - f(3) ) / h
f(3 + h) = 2(3 + h)^2 + 1)
f(3 + h) = 2(9 + 6h + h^2) + 1
f(3 + h) = 18 + 12h + 2h^2 + 1
f(3 + h) = 19 + 12h +2h^2
f(3) = 2*(3^2) + 1
f(3) = 2(9) + 1
f(3) = 19
f(3 + h) - f(3) = 2h + 2h^2 The 19s cancel out
f(3 + h) - f(3) = 2h(1 + h^2)
( f(3 + h) + f(3) ) / h = 2h ( 1 + h^2) / h = 2 ( 1 + h^2)
Answer:
Step-by-step explanation:
Can someone help me?
Answer:
y = 250x + 1000
Step-by-step explanation:
we know, it is a linear function.
so, y = ax + c
we have multiple data points all on the line.
(4,2000)
2000 = a×4 + c, => c = 2000 - a×4
(7,2750)
2750 = a×7 + c
=> 2750 = a×7 + 2000 - a×4 = a×3 + 2000
=> 750 = a×3
=> a = 250
=> c = 2000 - 250×4 = 2000-1000 = 1000
A store manager can spend at most $1,000 a day for operating costs and payroll. It costs $100 each day to operate the store and $30 dollars a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at MOST.
30x + 100 < 1000
A. X > 30
B. X > 33
C. X < 33
D. X < 30
Answer:
x < 30
Step-by-step explanation:
Given the inequality expression that denotes the statement as;
30x+100 < 1000
Subtract 100 from both sides
30x + 100 - 100 <1000 - 100
30x < 900
Divide both sides by 30
30x/30 < 900/30
x < 30
Hence the required solution is x < 30
The number of employee the manager can afford a day is x < 30.
The given parameters:
Amount spent a day for operating cost = $1,000The operating cost of the store, = $100 per dayAmount paid to the employee = $30 per dayThe inequality of the number of employee the manager can afford a day is calculated as follows;
30x + 100 < 1000
collect similar terms together;
30x < 1000 - 100
30x < 900
divide both sides of the equation by 30;
[tex]x <\frac{900}{30} \\\\x <30[/tex]
Thus, the number of employee the manager can afford a day is x < 30.
Learn more about solution to inequality here: https://brainly.com/question/24372553
Only answer if you're very good at Math.
Given f (x) = x + 1 and g(x) = x^2, what is
( g o f) (x)?
A: ( g o f) (x) = x^2 + 1
B: ( g o f) (x) = (x + 1)^2
C: ( g o f) (x) = x ^ 2 + x + 1
D: ( g o f) (x) = x^2 (x + 1)
Answer:
Solution given:
f(x) = x +1 and g(x) = x²,
now
(gºf)(x) =g(fx)=g(x+1)=(x+1)²
B) (gºf)(x) = (x + 1)^2
Factor over the complex numbers, if possible: x² + 2xyi - y2
What is the answer?
9514 1404 393
Answer:
(x +yi)²
Step-by-step explanation:
Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.
(a +b)² = a² +2ab +b²
Here, we have a=x and b=yi. Then the factorization is ...
x² +2xyi +(yi)² = (x +yi)²
Here are Barry Bonds's home-run totals, mostly for the San Francisco Giants,
during the years 1991 - 2005:
25, 34, 46, 37, 33, 42, 40, 37, 34, 49, 73, 46, 45, 45, 5
There are two outliers at opposite ends of this distribution: his 5 home runs in
2005 and his 73 home runs in 2001. Which of the following is a modified box
plot for this distribution?
A.
B.
C..
E.
The modified boxplot created for the distribution is boxplot E
Given the values :
25, 34, 46, 37, 33, 42, 40, 37, 34, 49, 73, 46, 45, 45, 5
The outliers in the values are : 5 and 73
Hence, the modified values are :
25, 34, 46, 37, 33, 42, 40, 37, 34, 49 , 46, 45, 45
Using a boxplot maker or excel, we could use the modified data to create a boxplot with the following properties as obtained from the boxplot shown below :
Median value = 40
Minimum = 25
Maximum = 49
First quartile = 34
Third quartile = 45.5
The modified boxplot has no outlier and it corresponds with the boxplot in option E
Learn more : https://brainly.com/question/1523909
Answer:
graph C
Step-by-step explanation:
I need help with this problem
Answer:
x = 9 , jk = 42 , kl= 78
Step-by-step explanation:
Explained in the paper.
Goodluck
Answer:
x = 9
Step-by-step explanation:
[tex](4x+6)+(7x+15)=120[/tex]
[tex](4(9)+6)+(7(9)+15)=120[/tex]
[tex](36+6) + (63+15)=120[/tex]
[tex](42)+(78)=120[/tex]
x = 9
JL = 42
KL = 78
The model below represents the sum of two mixed numbers.
Write an equation that shows the sum represented by the model.
Show your work.
Answer:
hey I am not sure about the answer but I guess this is the right answer:
(x+3)+x
it says 10^-4
please help give brainliest
Answer:
jane is correct
Step-by-step explanation:
10⁻⁴ can be written as [tex]\frac{1}{10000}[/tex] and as 0.0001
See the image for question :)
Answer:
it is simple just compare the ratios simple as that
but I will need to know all the formula s
Select all the possible names for the following angle
Answer:
The answers are options d and e
NEED HELP ASAP!!
the surface area of a sphere is S(x)=4pix^2, where x is the length of the radius of the sphere. restrict the domain to create a one-to-one function. find and describe the inverse function. {ANSWERS ARE PICTURED}
Answer:
the last answer
Step-by-step explanation:
S(x) = 4pix^2
replace S(x) with y => y = 4pix^2
switch x and y variables => x=4piy^2
solve for y
divide both sides by 4pi => x/(4pi) = y^2take the square root of both sides => 1/(2(pi))(sqrtpi) = yThat eliminates the first 2 answers because S^-1(x) is incorrect, which leaves the last two answers.
The 3rd answer is wrong because the answer says that the input of the inverse function is length of the radius, but that was the inverse of the original function, not the inverse function. For inverse functions, the input of the original function (in this case, length of radius) becomes the output and the output of the original function (in this case, surface area of the sphere) becomes the input of the inverse function.What’s the function of f(x)=-2/3x -7 ?
Answer:
F(x) = -1/3 x^2 - 7x + C
Let’s Say I Left The House At 11:32 And Then I Came Back At 1:42, How Many Hours Have I Been Gone.
Example: 1hours and 20min
Just an example not the answer ^
i think the correct answer is 2 hours and 10 mins
cos90degrees cos30 degrees + sec-squared45degrees sin30degrees - cos270degrees sin180degrees
Step-by-step explanation:
[tex]\cos 90 \cos 30 + \sec^2 45 \sin 30 - \cos 270 \sin 180[/tex]
But we know that
[tex]\cos 90 = \cos 270 = \sin 180 = 0[/tex]
and
[tex]\sin 30 = \dfrac{\sqrt{3}}{2} \:\:\text{and}\:\: \sec 45 = \sqrt{2}[/tex]
so this leaves us with just
[tex]\sec^2 45 \sin 30 = (\sqrt{2})^2 \left(\dfrac{\sqrt{3}}{2} \right)= \sqrt{3}[/tex]
dul Tunction is shown on the graph below.
A
What are the domain and range for the quadratic function shown on the graph?
A Range: All real numbers less than or equal to 7
B Range: All real numbers greater than or equal to 6 and less than or equal to 7
C Range: All real numbers
D Range: All real numbers less than 7
Answer:
Step-by-step explanation:
A
Choose each number that shows 4% as an equivalent fraction, decimal, or percent. Select all that apply.
Answer:
1/4
Step-by-step explanation:
4 divide in half so should be 1/4
how to set this up to solve
Answer:
use the arthmetic mean
Step-by-step explanation:
Simplify − { − ( + ) − ÷ }
Answer:
- (- (+) - ÷ )
+) (-) (+) (-)
= (+) (-)
please help !!! urgent ☹️
Answer:
20/8
=2.5
14×2.5=35
[tex] \frac{20}{8} = \frac{x}{14} \\ x = \frac{20 \times 14}{8} \\ x = \frac{280}{8} \\ x = 35[/tex]
find the perfect square
-6x=3x^2+9
Answer:
[tex] - 6x = 3 {x}^{2} + 9 \\ 3 {x}^{2} + 6x + 9 = 0 \\ {x}^{2} + 2x + 3 = 0 \\ so \\ ether \: x = - 2 \\ or \: x = 1 [/tex]
The two given figures are similar. Which statements must be true? Select all that apply.
Answer:
angle B=74°
Step-by-step explanation:
the shapes are similar
Find the vertices and foci of the hyperbola with equation
(x + 2)^2/144 - (y-4)^2/81 =1
Answer:
Here is your answer:
Step-by-step explanation:
The distance from Nairobi, Kenya to Pretoria, South Africa is 3,969 kilometers. The distance from Cairo, Egypt to Tunis, Tunisia is 2,811 kilometers. Estimate the difference between these two distances by first rounding to the nearest hundred. i need help pleasee
Answer:
Step-by-step explanation:
3,969 = 4,000 rounded to nearest hundred
2,811=3,000 rounded to nearest hundred
therefore... the difference is 4,000 - 3,000 = 1,000 kilometers
Answer:1,100
Step-by-step explanation:
rounding 3,969 to the nearest hundreds is 4,000 and rounding 2811 to the nearest hundred is 2900. Now you subtract 4000-2900 = 1100.
3. It refers to the number of values an interval may contain
a. class interval
c. frequency
b. class width
d. range
Answer:
An interval scale is one where there is order and the difference between two values is meaningful. Examples of interval variables include: temperature (Farenheit), temperature (Celcius), pH, SAT score (200-800), credit score (300-850).
Step-by-step explanation:
thank me later
Wanda listed these facts about parallelograms.
Opposite angles are equal to each other.
Adjacent sides may have different lengths.
There are exactly two sets of parallel sides.
Both pairs of opposite sides have the same length.
Which One is correct
Answer:
there are exactly two sets of parallel sides