Answer:
tenth term is -256
Step-by-step explanation:
It is geometric progression:
[tex]a_{n} = a( {r}^{n-1} )[/tex]
r » common ratio, r = 2 ÷ (-1) = -2
a » first term, a = ½
n » number of terms, n is 10
[tex]a_{10} = \frac{1}{2} \{{( - 2)}^{10-1} \} \\ \\ a_{10} = \frac{1}{2} (-512) \\ \\ a_{10} = \frac{-256}{1} [/tex]
Step-by-step explanation:
everything can be found in the picture
The unit circle with center at the origin is a relation but not a function Find the two functions which are semicircles of the unit circle and determine their domains and ranges?
Answer:
Step-by-step explanation:
The relation is x²+y²=r² with r being the radius
[tex]f(x)=y=\sqrt{r^2-x^2} \\\\domain(f(x))=[-r,r]\ or\ -r\leq x \leq r\\range(f(x))=[0,r]\ or\ 0\leq y \leq r\\\\\\\ g(x)=y=-\sqrt{r^2-x^2} \\domain(g(x))=[-r,r]\ or\ -r\leq x \leq r\\range(g(x))=[-r,0]\ or\ -r\leq y \leq 0\\\\[/tex]
2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Answer:
C. 3x²-12x+y
Step-by-step explanation:
2x − 6y + 3x² + 7y − 14x =
3x²+2x-14x-6y+7y =
3x²-12x+y
A rare disease exists with which only 2 in 1000 isaffected. There is a test for the disease that a correct positive result (patientactually has the disease) occurs95%of the time while a false positive result(patient does not have the disease) occurs1%of the time.a) What is the prior distribution of the disease and the posterior distributionof the disease given the positive result?b) Is the test good? Explain that counter-intuitive result.
Answer:
the test is good since it is right 98 percent of the time an if the test is wrong you can just take it again
Janice is building a model volcano for the science fair. To find the right ratio, she starts by mixing small amounts of baking soda and vinegar. She finds that adding 1.5 teaspoons of baking soda for every fluid ounce of vinegar produces the best eruption. If Janice plans to us 0.5 cups of vinegar for her project, how many tablespoons of baking soda should she use?
Answer:
6 tablespoons of baking soda
Step-by-step explanation:
There are 8 fluid ounces in 1 cup and shes going to use half a cup so that means shes going to use 4 fluid ounces of vinegar. To find how much baking soda she is going to use, we are going to multiply.
1.5 * 4 = 6
Best of Luck!
Answer:
3 Tablespoons, 6 teaspoons
Step-by-step explanation:
In order to find the right ratio of Baking Soda to Vinegar we have to find ratio given,... they tell us that for every 1.5 teaspoon of baking soda, you must add 1 fluid ounce or vinegar,... thus the ratio of Baking Soda to Vinegar is (1.5 teaspoon / 1 Fluid ounce)
There are:
3 teaspoons = 1 Tablespoons
8 fluid ounces = 1 cup
So if you use 0.5 cups of Vinegar as they tell us we do than that is the same thing as using 4 Fluid ounce, and because your problem say 1.5 teaspoon of baking soda for every Fluid ounce of vinegar all you have to do it multiply your 1.5t by your 4 to get how many teaspoons of Baking Soda you will need,...
1.5 * 4 = 6
You need 6 teaspoons or 3 Tablespoons,...
Hope that helps,... and I'll see you in life,... well not, literally, but you get what I mean,... Chow!
Chris owes $17,000 to a bank. The debt grows with 8% annual interest that compounds every year. How
much will Chris owe in one year?
A. 18,014
B. 18,242
C. 18,360
D. 18,557
Answer:
18360
Step-by-step explanation:
A = P (1 + r/n)^(nt) where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years
A = 17000 (1 + .08/1)^(1*1)
A = 17000( 1.08)^1
A = 18360
interest
[tex]\\ \rm\longmapsto 17000\times 8\%[/tex]
[tex]\\ \rm\longmapsto 17000\times \dfrac{8}{100}[/tex]
[tex]\\ \rm\longmapsto 170(8)[/tex]
[tex]\\ \rm\longmapsto 1360[/tex]
Total[tex]\\ \rm\longmapsto 17000+1360=18360[/tex]
Option C is correct
Give the degree of the polynomial.
Answer:
7
Step-by-step explanation:
pretty sure its seven
Match the terms to their definition.
1. union
2. intersection
3. compound inequality
Hurry plz
Step-by-step explanation:
compound inequality: a statement formed by two.......
intersection: elements that are in both set A and B
union: elements that are in either set A or B
Which of the following is the conjugate of a complex number with 2 as the real part and −4i as the imaginary part? (6 points)
2 − 4i
2 + 4i
−4i − 2
4i − 2
the answer would be B.
2 + 4i goodluck !! :))
Answer is B because it makes the most sense
Find the solution for
h - 12 =6
Answer:
H-12=6
H−12+12=6+12
h=18
Answer:
h=18
Step-by-step explanation:
h-12=6
is the normal eqaution, you need to determine the value of h, on the left side of the eqaution you have negative twelve we must get the h on its own by moving the 12 to the right side using of basic math rules you must know that when you have a negative and want to move it to the right hand side it must become a positive
so in formula it wil look like this
h = 6 + 12
Add up 6 with 12 that wil give you 18
so the value of h is then 18
h = 18
.
Please help
Add or subtract.
Answer:
Lt is very easy answer u can't
Answer:
[tex]\frac{1}{x-6}[/tex]
Step-by-step explanation:
[tex]\frac{x}{x^2-2x-24}-\frac{-4}{x^2-2x-24}\\\\\frac{x-(-4)}{x^2-2x-24}\\\\\frac{x+4}{(x+4)(x-6)}\\\\\frac{1}{x-6}[/tex]
x = ??? What is x?? Solve for x
Answer:
x= 11
Step-by-step explanation:
4x-8 = 3x+3 (those angles are corresponding angles so they are equal to each other)
4x-3x =3+8
x =11
6abc2 + 6a2bc
A=1
B=2
C= -3
[tex]\\ \rm\longmapsto 6abc^2+6a^2bc[/tex]
[tex]\\ \rm\longmapsto 6(1)(2)(-3)^2+6(1)^2(2)(-3)[/tex]
[tex]\\ \rm\longmapsto 12(9)+6(-6)[/tex]
[tex]\\ \rm\longmapsto 108-36[/tex]
[tex]\\ \rm\longmapsto 72[/tex]
The balloon uses 4.5 quarts of gas in 7 minutes. How many gallons will it use per hour?
Answer:
≈9.64 gallons
Step-by-step explanation:
To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.
4.5 quarts = 7 minutes
First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1
4.5/7 quarts = 1 minute
Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60
4.5 * 60 / 7 quarts = 60 minutes = 1 hour
We now know how many quarts are in an hour, so we can now convert quarts to gallons
4 quarts = 1 gallon
divide both sides by 4
1 quart = 1/4 gallons
To get from quarts to gallons, we can divide by 4, so we have
(4.5 * 60 / 7)/4 = 4.5 * 60 / 28
≈9.64 gallons
A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes. How many typewriters are required for a complete display
Answer:
36 different combinations
Step-by-step explanation:
3 colors * 6 types * 2 sizes
3*6*2 = 36 different combinations
36 typewriters are required for a complete display
Given :
A typewriter manufacturer offers to its customers three choices of colors, six styles of type, and two sizes
Colors =3
Styles =6
sizes =2
To find number of typewriters required we multiply the colors , styles and sizes available
Number of typewriters required=[tex]3 \cdot 6 \cdot 2= 36[/tex]
36 typewriters are required for a complete display
Learn more : brainly.com/question/20781178
Find the differential of the function w=xsin(2yz^4).
The differential of
[tex]w = x \sin(2yz^4)[/tex]
is
[tex]\mathrm dw = \dfrac{\partial w}{\partial x}\,\mathrm dx + \dfrac{\partial w}{\partial y}\,\mathrm dy + \dfrac{\partial w}{\partial z}\,\mathrm dz[/tex]
where the partial derivatives are
[tex]\dfrac{\partial w}{\partial x} = \sin(2yz^4) \\\\ \dfrac{\partial w}{\partial y} = x \cos(2yz^4) \times 2z^4 = 2xz^4 \cos(2yz^4) \\\\ \dfrac{\partial w}{\partial z} = x \cos(2yz^4) \times 8yz^3 = 8xyz^3 \cos(2yz^4)[/tex]
So the differential dw is
[tex]\mathrm dw = \boxed{\sin(2yz^4)}\,\mathrm dx + \boxed{2xz^4 \cos(2yz^4)}\,\mathrm dy + \boxed{8xyz^3 \cos(2yz^4)}\,\mathrm dz[/tex]
multiply the fraction 5/6 to the decimal 2.4
Answer:
answer is 2. thank you. have a nice day
BRAINLEST IF CORRECT!!!!
Answer: x = 5
Step-by-step explanation:
Given information
The combined angle is a right angle meaning it is 90°
Angle 1 = 8x°
Angle 2 = 50°
Set equation
Angle 1 + Angle 2 = Total angle
Substitute values into the equation
8x + 50 = 90
Subtract 50 on both sides
8x + 50 - 50 = 90 - 50
8x = 40
Divide 8 on both sides
8x / 8 = 40 / 8
x = 5
Hope this helps!! :)
Please let me know if you have any questions
mr tan is 42 years old and mrs tan is 44 years old now. they have 3 children who are 7 years, 5 years and 2 years old now. in how many year time will the sum of mr and mrs tan's age be 4 times of the sum of their 3 children's age
Answer:
3 years
Step-by-step explanation:
let the number of years required be x
hence
42+x+44+x = 4(7+x+5+x+2+x)
86+2x = 4(14+3x)
86+2x = 56+12x
2x-12x = 56-86
-10x = -30
x = 3
2/5 over 2/3, I don't understand
Answer:
it basically means 2/5 divided by 2/3. The answer comes out to approximately 1.067
Step-by-step explanation:
In other words (2÷5) ÷ (2÷3)
Hope that answers your question!
say whether each of these statements about square numbers is always true, sometimes true or never true
a the last digit is 5
b the last digit is 7
c last digit is a square number.
last digit is not 3 or 8
Assigning answers to statements about square numbers, whether it is always true, sometimes true or never true:
a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8 - never trueWhat are square numbers?
The term square numbers refers to numbers which are gotten when an integer multiplies itself. It is also called a perfect square. This number type is important in the field of mathematics and always applied.
Example of perfect squares are 4, 9, 16, 25, 36, 49, 64. 91, 100 and so on.
A perfect square will never have 2, 7, 3, or 8 as the last digit hence we can say that:
a the last digit is 5 - sometimes trueb the last digit is 7 - never truec last digit is a square number last digit is not 3 or 8 - never trueRead more perfect squares here: https://brainly.com/question/26119721
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HELP PLEASE!! (Look at the picture)
9514 1404 393
Answer:
C. 60%
Step-by-step explanation:
Of the 5 bowls listed, bowls 2 and 4 are out of the allowed tolerance range. That leaves 3 of the 5 bowls that can be used.
3/5 × 100% = 60% . . . fraction of bowls that can be included
If point (-3,1) is in the function p(x), which of the following points will be in the function p-|(2)?
PLZ HELP I NEED IT
Answer:
C
Step-by-step explanation:
for p- prime you just swipe your co-ordinates ...n when swiping them don't change your sign
The point that will be in the function p⁻¹(x) is (1,-3), the correct option is C.
What is a Function?A function is a law that relates a dependent and an independent variable.
The function p(x) has point (-3, 1 )
An inverse of the function is obtained by interchanging the value of y and x, then solving the equation for y in terms of x
The point that will be in the inverse function of (x,y) is (y,x)
(-3,1) -----> ( 1,-3)
To know more about Function
https://brainly.com/question/12431044
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The area of a rectangle is 77 yd square, and the length of the rectangle is 3 yd more than twice the width. Find the dimensions of the rectangle.
Length :
Width :
Answer:
Length = 14 yd
Width = 5.5 yd
Step-by-step explanation:
Let width = x and length = 2x + 3
The formula for area is length x width.
(2x + 3) ( x ) = 77
2x² + 3x - 77 = 0
-77 x 2 = -154
What two numbers multiply to -154 and add to 3?
2x² + 14x - 11x - 77 = 0
2x (x + 7) - 11 (x + 7) = 0
(2x - 11) (x + 7) = 0
x = -7 (this isn't possible so ignore it)
x = 5.5 (width)
Now insert 5.5 into the initial equation.
2 (5.5) + 3 =
11 + 3 = 14
Answer:
Length is 3
width is 25•66
Step-by-step explanation:
Hope it helps!
Thanks.
Gh bisects cf =2y-2 and cd =3y-11 find cd
Answer:CD is 4
Step-by-step explanation: ham
HELP HELP HELP HELP HELP
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
2/5
Step-by-step explanation:
you multiply the denominators and numerators so
4 * 1 and 5 *2 leaving you with
4/10
since it says simplify you would just divide by 2 leaving
2/5
find the derivative of the function y= x^20
Answer:
Step-by-step explanation:
[tex]\frac{dy}{dx} =20x^{19}[/tex]
How do they get Question 3
Answer:
400÷10=40
Step-by-step explanation:
the question asks for you to divide each number in the pattern by 10.
the first number is 400
400÷10=40
then you would do 40÷10=4
then 4÷10=0.4
then 0.4÷10=0.04
so the pattern would be
400 , 40 , 4 , 0.4 , 0.04
hope this helped!
47.16 to the nearest tenth
Answer:
47.2
Step-by-step explanation:
Comparing Values Compare the values of the underlined digits. 1. The 4 in 3,492 and the 4 in 704
9514 1404 393
Answer:
4 in 3492 is 100 times 4 in 704
Step-by-step explanation:
To find the value of a particular digit, set the other digits to zero.
4 in 3492 = 400
4 in 704 = 4
The first 4 is 100 times the value of the second 4.
How many angles does this shape have?
Answer:
6 angles.
Step-by-step explanation:
This shape is a hexagon, since it has 6 sides. And because it has 6 sides, it has 6 vertexes, also known as angles.
Hope this helps!