Answer:
We would use the explicit formula since the explicit formula is used for finding the nth term in a sequence. The reason why it's not the recursive is because the recursive formula helps you find the next terms using a formula of the preceding term or term before the next term.
Using the Pythagorean Theorem, determine the length of the missing side of the right triangle.
Answer: 10 in.
Step-by-step explanation: We can use the PT to find the length of the missing side. The PT is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex], where "a" and "b" are side lengths and "c" is the hypotenuse. Given that, we can see that they have given just one side length (24 in) and the length of the hypotenuse (26 in). Plugging these values into the formula, we get 24^2 + b^2 = 26^2. This equals 576 + b^{2} = 676. Solving for b^{2}, we move the 576 and do 676-576, which equals 100, giving us b^{2} = 100. If we take the square root of both sides, we get b = [tex]\sqrt{100\\}[/tex]. The square root of 100 equals 10, giving us our final answer. The length of the missing side is 10 in.which of the following is a root of the polynomial function below
Answer: "C"
roots would make the function "0"
so just plug in the numbers...
with a + 12 you need minuses to cancel out...
B & C can not be the answer...
A is -i -3 + 4i - 12 which also is not 0
C is : 8i -12 -8i +12 WHICH DOES = 0
Step-by-step explanation:
What is the volume of the following rectangular prism?
Answer:
14 2/3 units^3
hope this helps
have a good day :)
Step-by-step explanation:
7 1/3 x 2=14 2/3
The volume of the rectangular prism is 14.66 square units.
It is required to find the volume of the rectangular prism.
What is prism?Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections. The faces of the prism are parallelograms or rectangles without the bases.
Given:
The volume is calculated as:
V= w h l
V= 7 1/3 x 2
V= 22/3 x 2
V= 44/3
V=14.66 square units.
Hence, the volume of the rectangular prism is 14.66 square units.
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I need help finding the slope
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (2, 2) ← 2 ordered pairs from the table
m = [tex]\frac{2-1}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1
What are the solutions of x2 - 2x +17 - 0?
O A. x = 1+2, or x = 1 - 2
O B. X = 1+4, or x = 1- 47
O c. x = 2, or x = -2
O D. x = 4; or x = -4/
Answer:
option B
Step-by-step explanation:
[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]
[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]
[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex] [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]
[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]
Answer:
O B. [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]
Step-by-step explanation:
Use the Quadratic Formula for the Quadratic Equation!
Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]
Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]
**********************************************************************
Now set up the values like this!
[tex]ax^{2} +bx+c[/tex]
**********************************************************************
[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]
[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]
x = 1 - 4i
x = 1 + 4i
Find the circumference of the circle.
Answer:
37.68 is the correct answer
Step-by-step explanation:
diameter of the given circle is 12ft
circumference of a circle = pi x diameter.
= 3.14 x 12 ft
= 37.68 ft
Answer:
A
Step-by-step explanation:
because use the equation circumference of a circle
[tex]2 \times \pi \times r[/tex]
so 12 is diameter half it will be 6 which is radius. Then insert the number in the equation. hope this helps:)
MATH QUESTION HELP ME PLS, KINDA URGENT!!
I need to resolve this with the elimination method
x +y +z = 13
x–z = −2
−2x +y = 3
how-?
Answer:
x= 2
y= 7
z= 4
Step-by-step explanation:
Equation 1: x+y+z=13
Equation 2: x-z= -2
Equation 3: -2x+y=3
Add equation 2 and 1
(x+y+z)+(x-z)= 13 -2
2x+y= 11
Add this to equation 3
(-2x+y)+(2x+y)= 11+3
2y= 14
y= 7
Plug in y= 7 to equation 3
-2x+(7)= 3
-2x+7=3
-2x= -4
x= 2
Plug x=2 into equation 2
2-z= -2
4 = z
which equation represents a line that is parallel to the line whose equation is y=3/2x-3 and passes through the point (1, 2)?
Answer:
1) y = 3/2 x +½
Step-by-step explanation:
y-2 = 3/2(x-1)
y = 3/2x -3/2 +2
y = 3/2x +½
Two events X and y, are independent of eachother. P(Y)=5/6 and P(X and Y)=1/3. What is P(X) written as a decimal. Round to the nearest tenth, if necessary
Answer:
0.2
Step-by-step explanation:
0.2=2/6=1/3=P(x)
.........
The art club held a car wash on Saturday and Sunday. They washed a total of 50 cars. If they washed 30% of the cars on Sunday, how many cars did they wash on Sunday?
Answer:
If I did my math correctly, They washed 15 cars on Sunday.
Step-by-step explanation:
50 cars = 100%
Therefore 1 car would be 2% because 50 is half of 100.
So because 30% would be 2 times the amount of cars, we divide 30 by 2, giving us 30% = 15 cars on Sunday
With this information, we can take away 15 from 50 giving us 35 cars which is equal to 70% on Saturday
Here is some extra data:
10% = 5 cars
20% = 10 cars
30% = 15 cars
40% = 20 cars
50% = 25 cars
60% = 30 cars
70% = 35 cars
80% = 40 cars
90% = 45 cars
100% = 50%
Basically, every 10% is +5 cars
Convert y + 2 = 3/2(x – 4)
to general form.
Answer:
3x − 2y = 16
Step-by-step explanation:
y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16
Hope this helps uwu
Please help if yk tha answer :))
Answer:
cos θ = -0.948
Step-by-step explanation:
First find θ of sin θ by taking the inverse:
θ = arcsin(0.312).
Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).
arcsin(0.312) = 0.317297388112..
[ Hold on I am finishing up work ]
$42. This included rental of shoes at $3.50 per pair. Patrick bowled 2 games, and Cameron bowled 3 games. How much did each game cost?
Answer:
Each game cost $ 7.
Step-by-step explanation:
Given that the value $ 42 included rental of shoes at $ 3.50 per pair, knowing that Patrick bowled 2 games, and Cameron bowled 3 games, to determine how much did each game cost the following calculation must be performed:
(42 - (2 x 3.50)) / (2 + 3) = X
(42 - 7) / 5 = X
35/5 = X
7 = X
Therefore, each game cost $ 7.
answer?? please answerr
Answer:
the y-intercept of Function A is less than the y- intercept of Function B
Step-by-step explanation:
first, identify each coordinate that has instegers only
(x, y)
(0, -4)(2, 6) (-2, -14)function A y-int: (0, -86)
function B y-int: (0, -4)
Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there?
Answer:
336 Peanuts
112 Walnuts
Step-by-step explanation:
So first, you can not change the order of the items in a ratio. So the 224 raisins will be in the middle.
It will look like _ : 224 : _
Next, divide 224 by 2 to get the number of walnuts, the number on the right.
So the number on the right will be 112.
Next, multiply 112 by 3 to get 336.
PLEASE HELP According to the stem-and-leaf plot above, how many students scored a
grade lower than 80?
Answer:
17
Step-by-step explanation:
Do you even know what a stem-leaf plot is?
The scores lower than 80% are:
70, 70, 71, 78, 62, 62, 63, 68, 69, 69, 57, 57, 58, 49, 49, 30, and 21 percent according to the data given. That is 17 scores less than 80 percent.
find the volume of the cylinder. SHOW ALL WORK
The volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.
To find the volume of a cylinder, you can use the formula:
Volume = π * r^2 * h
Where π (pi) is approximately 3.14159, r is the radius of the cylinder, and h is the height of the cylinder.
In this case, the height of the cylinder is given as 12 inches, and the diameter is given as 10 inches. To find the radius, we divide the diameter by 2:
Radius = Diameter / 2 = 10 inches / 2 = 5 inches
Now we can substitute the values into the formula to calculate the volume:
Volume = π * (5 inches)^2 * 12 inches
Using the value of π as approximately 3.14159, we get:
Volume ≈ 3.14159 * (5 inches)^2 * 12 inches
Volume ≈ 3.14159 * 25 square inches * 12 inches
Volume ≈ 942.4788 cubic inches
Therefore, the volume of the cylinder with a height of 12 inches and a diameter of 10 inches is approximately 942.4788 cubic inches.
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The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in
Answer:
C. 8 in
Step-by-step explanation:
(5)(6)(x)=240
solve for x
30x=240
x=240/30
x=8
Helppppppppppp meeeeeee please ASAP
Answer:
x = 11
Step-by-step explanation:
(7x + 5)° = (3x + 19)° + (2x + 8)°
7x + 5 = 5x + 27
2x = 22
x = 11
) yx2x1 how do you write it in simplest form
Answer:
Y x 2
Step-by-step explanation:
2 x 1 simplified is 2 so 1 will be eliminated
Write the following number in standard decimal form
seven and fifty-two thousandths
Please help
Answer:
seven and fifty-two thousandths as a decimal
Step-by-step explanation:
7.52
Your answer should be 7.052
The and represents the decimal point, meaning that 7 is in the ones places, and the decimals go in the following order:
tenths, hundredths, thousandths, and so on. Because the 52 was in the thousandths place, that’s where the 2 goes, and the 5 is in the hundredths place. I hope this helped you
What is the equation for (12,1) (9,9)
Answer:
y = -8/3x + 33
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 1 / 9 -12
8 / -3
= -8/3
y = -8/3x + b
1 = -8/3(12) + b
1 = -32 + b
33 = b
Simply x+1/x^2+6x+5 step by step
Pls
Answer:
1 / (x+5)
Step-by-step explanation:
Factor the denominator
(x+1)/ (x+5)(x+1)
Cancel both (x+1)
=1/(x+5)
Fill in the blank
Plssss help
sin theta =12/13 then find tan theta.
I hope this is help full to you
Answer:
tan(θ) = 12/5
Step-by-step explanation:
According to Pythagoras,
sin(θ) = Opposite / Hypotenuse
tan(θ) = Opposite / Adjacent
(Hypotenuse)^2 = (Opposite)^2 + (Adjacent)^2
or, (Adjacent)^2 = (Hypotenuse)^2 - (Opposite)^2
or, (Adjacent)^2 = 13^2 - 12^2
or, (Adjacent)^2 = 169 - 144
or, (Adjacent)^2 = 25
or, Adjacent = 5
So, tan(θ) = 12/5
Hope this will help. Please mark me brainliest.
Pls Answer the first one and the second question
Answer:
here wo go with the answerrrrrrrrrrr
Answer:
(a) [tex]10\frac{13}{35}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2\frac{4}{7} }+ \frac{1}{8\frac{4}{5} }+ \frac{1}{\frac{3}{7} }[/tex]
[tex]\frac{1}{\frac{18}{7} }+ \frac{1}{\frac{44}{5} }+ \frac{1}{\frac{3}{7} }[/tex]
[tex]\frac{18}{7} + \frac{44}{5} + {\frac{3}{7}[/tex]
[tex]\frac{40+308+15}{35}[/tex]
[tex]\frac{363}{35}=10\frac{13}{35}[/tex]
Drag the correct word and the appropriate value to the box with each given interval
Answer:
this answer is for functional value only
Fill in the spaces to complete the equality
Help
Answer:
(n + 13n)
Step-by-step explanation:
13n (n) = 13n²
add 13n
so 13n (n + 13n) = 13n² +13n
[tex]-2\sqrt{50x^5} +5\sqrt{18x^5}[/tex]
Answer:
234.98
Step-by-step explanation:
in class notes
[tex] {( {5}^{ - 1 } \times {3}^{ - 1} })^{ - 1} \div {6}^{ - 1} [/tex]
Pls include steps...
Step-by-step explanation:
everything can be found in the picture