Answer:
The sum is [tex]144,177[/tex]
Step-by-step explanation:
we know that
The formula of the sum in a geometric sequence is equal to
[tex]S=a1[\frac{1-r^{n}}{1-r}][/tex]
where
a1 is the first term
r is the common ratio
n is the number of terms
we have
a1=-11
r=-4
n=8
substitute the values
[tex]S=(-11)[\frac{1-(-4)^{8}}{1-(-4)}][/tex]
[tex]S=(-11)[\frac{1-(65.536)}{5}][/tex]
[tex]S=144,177[/tex]
Evaluate 2x^-4y for x = 2 and y = 4. -64 1/8 1/2
ANSWER
[tex] \frac{1}{2} [/tex]
EXPLANATION
The given expression is;
[tex]2 {x}^{ - 4} y[/tex]
We want to find the value of this expression when x=2 and y=4.
We substitute to get,
[tex]2 {(2)}^{ - 4} (4) [/tex]
[tex]8 \times {2}^{ - 4} [/tex]
Recall that
[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]
This implies that,
[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{ {2}^{4} } [/tex]
[tex]8 \times {2}^{ - 4} = 8 \times \frac{1}{16 } = \frac{1}{2} [/tex]
Answer:
Step-by-step explanation:
Why was it helpful in the paper ball situation helpful in the paper ball situation to rewrite the expression to determine specific details of the situation?
Answer:
Step-by-step explanation:
I'm not sure I know what the paper ball situation is, but I can tell you that especially when working with a set formula in physics, math or chemistry (I'd include biology if I knew any biology) that it is a good idea to write down your givens.
The equation you are given is going to fall apart once you know what your givens are and what they do.
I just looked up the Paper Ball Situation. This is a wonderful piece of physics. It immediately opened up all sorts of treasures once they experimenters thought of using tin foil. Givens are a necessity in such an experiment.
Answer:
It was helpful because it breaks things up for a better understanding.
Step-by-step explanation:
1/9 With Denominator 27
Step 1: Make a proportion by setting [tex]\frac{1}{9}[/tex] equal to [tex]\frac{x}{27}[/tex]
[tex]\frac{1}{9} = \frac{x}{27}[/tex]
Step 2: Cross multiply (27 will be multiplied by its diagonal which is 1. 9 will be multiplied by its diagonal which is x)
27 × 1 = 9x
27 = 9x
Step 3: Isolate x by dividing 9 to both sides
[tex]\frac{27}{9} = \frac{9x}{9}[/tex]
3 = x
^^^This means that the numerator is 3!
so...
[tex]\frac{1}{9} = \frac{3}{27}[/tex]
Hope this helped!
Answer:
3/27
Step-by-step explanation:
1/9 is equal to 3/27 how i got my answer was going threw all of the equivlent fractions to get to 3/27
you can also do for the numerator is 1x1=1 then the denominator 9x1=9
that is 1/9 then you go down the line
numerator= 1x2=2 -------
denominator=9x2=18------> 2/18
numerator=1x3=3
denominator= 9x3=27------> 3/27
sorry if its confusing but you should see the pattern
−(4.8−1.92)−((−5.4)+8.04)−1.92
please show work
ans:-7.54
do u understand
Answer:
-7.44
Step-by-step explanation:
Just do it out
I still need help answering these questions
Answer:
[tex]-2\frac{2}{3} y^{2} -1\frac{8}{9}y -3\frac{1}{9}[/tex]
Step-by-step explanation:
The length of a rectangle is 11 centimeters less than four times its width. Its area is 45 centimeters. Find the dimensions of the rectangle
Answer:
The answer is length: 9, width: 5
Step-by-step explanation:
5 x 9 = 45
5 x 4 = 20
20 - 11 = 9
Hope this helps :P
The length of a rectangle is 9 cm and width of the rectangle is 5 cm.
What is Area of Rectangle?The area of Rectangle is length times of width.
Length of a rectangle is 11 centimeters less than four times its width.
Length=4W-11
Width=W
Area=45
Area=Length×Width
=(4w-11)w
45=4w²-11w
4w²-11w-45=0
After applying a =4, b=-11 and c=-45 in the quadratic formula
we get w=5
Plug in the value of w in length
Length=4W-11
=4(5)-11
=20-11
=9
Hence, the length of a rectangle is 9 cm and width of the rectangle is 5 cm.
To learn more on Rectangle click:
https://brainly.com/question/20693059
#SPJ2
ILL MARK YOU AS BRAINLIEST, RATE YOU A 5, AND THANK YOU! 70 POINTS!
what is the surface area of this rectangular prism? i-ready
Answer:
290 in²Step-by-step explanation:
From the net:
S.A. = 2(25 in²) + 4(60 in²) = 50 in² + 240 in² = 290 in²
From the model:
The formula of a Surface Area of a rectangular prism:
S.A. = 2(lw + lh + wh)
l - length
w - width
h - height
We have l = 5 in, w = 5 in, and h = 12 in. Substitute:
S.A. = 2(5 · 5 + 5 · 12 + 5 · 12) = 2(25 + 60 + 60) = 2(145) = 290 in²
Answer: 290 in.^2
Step-by-step explanation: Just did on iready. Hope i helped! (:
The equation for the circle is:
x²+y²+14x+10y−7=0 .
What is the center of the circle?
Answer:
(-7,-5)
Step-by-step explanation:
Converting the circle into the form (x-h)^2+(y-k)^2=r^2, we get
x^2+14x+49+y^2+10y+25=7+25+49
So we get
(X+7)^2+(y+5)^2=81
So the center of the circle is (-7,-5)
Answer:
centre = (- 7, - 5)
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Arrange the equation by placing the x and y terms together
x² + 14x + y² + 10y - 7 = 0 ( add 7 to both sides )
x² + 14x + y² + 10y = 7
Use the method of completing the square
add (half the coefficient of the x/y term)² to both sides
x² + 2(7)x + 7² + y² + 2(5)y + 5² = 7 + 7² + 5²
(x + 7)² + (y + 5)² = 7 + 49 + 25 = 81 ← in standard form
with (h, k) = (- 7, - 5) ← centre of circle
i’ll mark brainliest please help
Answer:
False
Step-by-step explanation:
The distance between two points is found by
d = sqrt((y2-y1)^2 + (x2-x1)^2)
= sqrt( (4-7)^2 + (6-2)^2)
=sqrt( 3^2 +4^2)
= sqrt(9+16)
=sqrt(25)
= 5
Answer:
False
Step-by-step explanation:
Because....
[tex]\sqrt[]{(6-2)^2+(4-7)^2}[/tex][tex]\sqrt{(4)^2 +(-3)^2}[/tex][tex]\sqrt[]{16+9}[/tex][tex]\sqrt{25}[/tex] ≈ 5 NOT 6 units* Hopefully this helps:) Mark me the brainliest:)!!!
∞ 234483279c20∞
Jolene invests her savings in two bank accounts, one paying 6 percent and the other paying 9 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 7266 dollars. How much did she invest at each rate?
Amount invested at 6 percent interest is $
Amount invested at 9 percent interest is $
Answer:
Amount invested at 6 percent interest is $69,200
Amount invested at 9 percent interest is $34,600
Step-by-step explanation:
Let the amount invested (or principal) at 6 percent interest be $2x
The principal(P) (amount invested) at 9 percent interest will be $x
Amount(A) = P(1 + rt)
Time(t) = one year = 1
Amount at 6% interest = 2x(1 + 0.06) = $2.12x
Interest accumulated = Amount - Principal = $2.12x - $2x = $0.12x
Amount at 9% interest = x(1 + 0.09) = $1.09x
Interest accumulated = Amount - Principal = $1.09x - $x = $0.09x
Total interest = $7,266
So, $0.12x + $0.09x = $7,266
$0.21x = $7,266
x = [tex]\frac{7,266}{0.21}[/tex] = $34,600
The principal (amount invested) at 9 percent interest rate is $34,600
The principal (amount invested) at 6 percent interest rate is 2 × $34,600 = $69,200
The number of tickets sold is an example of continuous data. True or False?
Answer:
False
Step-by-step explanation:
Continuous data is data that can take any value within a range, including non-whole number values.
Because the number of tickets sold can only take whole number values, it is not an example of continuous data.
False
I hope this helps you understand continuous data. Have a great day. :)
Answer: False
Step-by-step explanation: Continuous data is data that can be measured. The number of tickets that were sold would only be positive integers meaning that there can't be a fraction of a ticket sold. Since discrete data is data that can be counted, the number of tickets sold would be an example of data that is discrete.
How do I solve this?
Answer:
23
Step-by-step explanation:
put 3 in place of x and solve.
Answer:
f(3) = 23
Step-by-step explanation:
To evaluate f(3) substitute x = 3 into the expression
f(3) = 2(3)² + 5[tex]\sqrt{3-2}[/tex]
= (2 × 9) + (5 × [tex]\sqrt{1}[/tex])
= 18 + (5 × 1) = 18 + 5 = 23
solve by completing the square x^2+12x+32=0
Answer:
hello : x = - 4 or x = - 8
Step-by-step explanation:
x²+12x+32=0
(x² +2(6)(x) +6²) - 6² +32 = 0....by completing the square
(x + 6 )²- 2² = 0
(x+6-2)(x+6+2)=0 by idetity : a² - b² = (a - b ) ( a + b )
(x+4)(x+8) =0
x+4=0 or x+8= 0
x = - 4 or x = - 8
Answer:
x = - 8, x = - 4
Step-by-step explanation:
Given
x² + 12x + 32 = 0 ( subtract 32 from both sides )
x² + 12x = - 32
To complete the square
add (half the coefficient of the x- term)² to both sides
x² + 2(6)x + 6² = - 32 + 6²
(x + 6)² = - 32 + 36 = 4
Take the square root of both sides
x + 6 = ± 2 ( subtract 6 from both sides )
x = - 6 ± 2
Hence
x = - 6 - 2 = - 8
x = - 6 + 2 = - 4
Math
Need to find volume
Fractions
V= length x width height.
5/3 x 1/4 x 3/2
15 /24 or 5/8
Please help:):):) Your awesome
Answer:
Q1: 11x - 8
Q2: 2x + 10
Q3: -3v + 12
Answer:
Q1: 11x + 8
Q2: 2x + 10
Q3: 3v - 12
what is the square root of negative 188
the square root is 13.7 hope this helps!
[tex] \sqrt{ - 188} = 13.7113092 \: i[/tex]
hope that helped you!
There are 467 sixth grade students at east side middle school. Each one needs 8 book covers. How many book covers are needed?
Around 58 book covers
The function g(x) = 3x2 − 12x + 7 written in vertex form is g(x) = 3(x − 2)2 − 5. What is the vertex of g(x)?
ANSWER
The vertex of g(x) is (2,-5).
EXPLANATION
The given function is:
[tex]g(x) = 3 {x}^{2} - 12x + 7[/tex]
The vertex form of this function is:
[tex]g(x) = 3 {(x - 2)}^{2} -5[/tex]
This is of the form
[tex]g(x) = a {(x - h)}^{2} + k[/tex]
where (h,k) is the vertex.
When we to
[tex]g(x) = 3 {(x - 2)}^{2} -5[/tex]
h=2 and k=-5
The vertex of the parabola is (2,-5).
Given: ΔXYZ
AB is a midsegment parallel to XY. The slope of AB is
2
3
.
What is the slope of XY?
A) 0
B) -
2
3
C)
2
3
D) undefined
Answer:
C) 2/3Step-by-step explanation:
If AB is parallel to XY, then they have the same slope.
If the slope of AB is 2/3, then the slope of XY is 2/3 too.
If y varies inversely with x and y =5 when x=2.5 what is the value of y when x=20
Answer:
If x = 20, then y = 12.5/20 = 0.625
Step-by-step explanation:
The pertinent relationship is y = k/x, where k is the constant of proportionality.
Subbing 5 for y and 2.5 for x yields 5 = k/2.5, so k = 12.5.
Then the specific relationship fit to this problem is y = 12.5/x.
If x = 20, then y = 12.5/20 = 0.625
solveing systems of equations by substitution y=6x-11 -2x-3y=-7
[tex]\bf \begin{cases} \boxed{y}=6x-11\\ \cline{1-1} -2x-3y=-7 \end{cases}\qquad \implies \stackrel{\textit{substituting \underline{y} in the 2nd equation}}{-2x-3\left( \boxed{6x-11} \right)=-7}[/tex]
[tex]\bf -2x-18x+33=-7\implies -20x+33=-7\implies -20x=-40 \\\\\\ x=\cfrac{-40}{-20}\implies \blacktriangleright x=2 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that }}{y=6x-11}\implies y=6(2)-11\implies y=12-11\implies \blacktriangleright y=1 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (2,1)~\hfill[/tex]
Step 1: Plug 6x - 11 in for y in the equation -2x - 3y = -7
-2x - 3(6x-11) = -7
Step 2: Distribute -3 to the numbers inside the parentheses (6x -11)
-2x - 18x + 33 = -7
Step 3: Combine like terms
x's go with x's
-20x + 33 = -7
Step 4: Subtract 33 to both sides
-20x = -40
Step 5: Isolate x by dividing -20 to both sides
x = 2
Step 6: To solve for y plug 2 in for x in the equation y = 6x - 11
y = 6(2) - 11
y = 12 - 11
y = 1
(2, 1)
Check:
1 = 6(2) - 11
1 = 12 - 11
1 = 1
-2(2) - 3(1) = -7
-4 - 3 = -7
-7 = -7
Hope this helped!
ANSWER ASAP PLEASE
An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite.
A kite with two top triangles with height of 7 inches and a base 9.5 inches. The bottom two triangles share the base but have a height labeled 12 inches.
38 square inches
66.5 square inches
114 square inches
180.5 square inches
(Theres also a picture attatched)
Answer:
180.5 in²
Step-by-step explanation:
The area (A) of a kite is calculated as
A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ ← the 2 diagonals
d₁ = 2 × 9.5 = 19 in and d₂ = 12 + 7 = 19 in
A = 0.5 × 19 × 19 = 180.5 in²
180.5 is the answer !
What is the exact area of a circle with radius 5?
251
15
101
10
Answer:
[tex]\large\boxed{A=25\pi}[/tex]
Step-by-step explanation:
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
r - radius
We have r = 5. Substitute:
[tex]A=\pi(5^2)=25\pi[/tex]
10 points One question NEED TO SHOW WORK
Answer:
h = 3πx
Step-by-step explanation:
The volume (V) of the cylinder is calculated using the formula
V = πr²h ( r is the radius and h the height )
V = π × x² × 3x = 3πx³
The volume of the cuboid therefore has volume of 3πx³, that is
x × x × h = 3πx³
x²h = 3πx³ ( divide both sides by x² )
h = 3πx³ ÷ x² = 3πx
Multiply.
-8 x (-7/4)
Write your answer in simplest form.
Answer:
14
Step-by-step explanation:
Rewriting this as
-8 -7
----- · -----
1 4
makes this problem a bit easier to do. Reduce the -8/4 to -2:
-8 -7 -2(-7)
----- · ----- = ----------- = 14
1 4 1
What is the surface area of a rectangular prism with the dimensions of: Length is 5.5, Width, 4, and Height, 3.8
Answer:
Total Area = height * width + height * length + width * length
Total Area = 3.8 * 4 + 3.8 * 5.5 + 4 * 5.5 =
15.2 + 20.9 + 22 =
58.1 square units
Step-by-step explanation:
Which are the solutions of x2 = –11x + 4?
Answer:
x = 0.35 or x = -11.35
Step-by-step explanation:
Points to remember
Solution of a quadratic equation ax² + bx + c = 0
x = [-b ± √(b² - 4ac)]/2a
It is given that, x² = –11x + 4
x² + 11x - 4 = 0
To find the solution
Here a = 1, b = 11 and c = -4
x = [-b ± √(b² - 4ac)]/2a
x = [-11 ± √(11² - 4 * 1 * (-4))]/2*1
= [-11 ± √(121 + 16)]2
= [-11 ± √137]/2
= [-11 ± 11.70]/2
x = -11 + 11.70 or x = -11 - 11.70
x = 0.35 or x = -11.35
which equation could generate the curve in the graph below?
the answer is c
hope this would help you
Answer:
[tex]y=-2x^2 -16x -28[/tex]
Step-by-step explanation:
We are given with the graph of a parabola
[tex]y=-2x^2 + 3x -5[/tex]
a=-2, b=3 and c=-5
Discriminant = [tex]b^2-4ac= 3^2 -4(-2)(-5)= 9-40= -31[/tex]
Discriminant is negative so x intercepts are imaginary.
In the graph we have two x intercepts.
[tex]y=-2x^2 -4x -2[/tex]
a=-2, b=-4 and c=-2
Discriminant = [tex]b^2-4ac= (-4)^2 -4(-2)(-2)=0[/tex]
Discriminant is 0 so there is only one x intercept
[tex]y=-2x^2 -16x -28[/tex]
a=-2, b=-16 and c=-28
Discriminant = [tex]b^2-4ac= (-16)^2 -4(-2)(-28)=32[/tex]
Discriminant is positive so there are two x intercepts
[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a} =\frac{16+-\sqrt{32} }{2(-2)}[/tex]
We will get two values for x
x= -5.414 , x=-2.586
Two x intercepts are negative . That is the x intercepts of given graph.
[tex]y=-2x^2 +16x -28[/tex]
a=-2, b=16 and c=-28
Discriminant = [tex]b^2-4ac= (16)^2 -4(-2)(-28)=32[/tex]
Discriminant is positive so there are two x intercepts
What is the expression (3x²y³) ³
Final answer:
The expression (3x²y³) ³ is found by cubing the coefficient and multiplying each variable's exponent by 3, which results in 27x⁶y⁹.
Explanation:
When we deal with the cubing of exponentials, as in the expression (3x²y³) ³, both the numerical coefficient and the variables with their exponents are raised to the power of 3. The rules of exponents guide us to cube the number 3 and multiply the exponents of x and y by 3.
To cube the number 3, we would calculate 3³, which equals 27. For the variables, we apply the exponent to each exponent: x raised to the 2³ (which is 6) and y raised to the 3³ (which is 9). Hence, the expression (3x²y³) ³ simplifies to 27x⁶y⁹. This demonstrates that when cubing an exponential expression, we obtain a new exponent for each variable by multiplying the original exponent by 3, and we cube the numerical coefficient as well.
Joey can put together 4 budgets in 2 minutes. What is the unit rate for one burger?
30 seconds/per burger
Answer:
30 seconds
Step-by-step explanation:
4 burgers in 2 mins
1 burger
= 2 ÷ 4
= 0.5 min
= 30 seconds