Answer:
The first one is the answer.
Step-by-step explanation:
It's an arithmetic sequence. It has a common difference.
d = an - a_n-1
an = -12x + 12
a_n-1 = - 7x + 8
d = -12x + 12 - (-7x + 8)
d = -12x + 12 + 7x - 8
d = -5x + 4
Try it. Let's try for the third term
-12x + 12 - 5x + 4
- 17x + 15 which is exactly what the third term is.
How do I solve this math equation: 7=8-p
Answer:
p = 1
Step-by-step explanation:
7 = 8 - p
7 + p = 8
p = 8-7
p = 1
Answered by Gauthmath
lll give brainliest
What is the slope of a line that runs parallel to y = -x + 7? Use a number to fill in the blank.
Answer:
Lines parallel to this line will have a slope of -1
Step-by-step explanation:
y = -x + 7
This line is in slope intercept form
y = mx+b where m is the slope
The slope is -1
Parallel lines have the same slope
Lines parallel to this line will have a slope of -1
Answer:
-1
Step-by-step explanation:
Parallel lines have the same slope
The equation y = -x + 7 has a slope of -1 meaning that a line parallel to it would also have a slope of -1
Instructions: Find the lengths of the other two sides of the isosceles right triangle below.
Given:
The ratio of 45-45-90 triangle is [tex]x:x:x\sqrt{2}[/tex].
The hypotenuse of the given isosceles right triangle is [tex]7\sqrt{2}[/tex].
To find:
The lengths of the other two sides of the given isosceles right triangle.
Solution:
Let [tex]l[/tex] be the lengths of the other two sides of the given isosceles right triangle.
From the given information if is clear that he ratio of equal side and hypotenuse is [tex]x:x\sqrt{2}[/tex]. So,
[tex]\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]
[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=l[/tex]
[tex]7=l[/tex]
Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.
Solve for x. round to the nearest tenth, if necessary.
Answer:
29
Step-by-step explanation:
all in all it is 180 so 61 + m (which is 90 because it is a right angle)=151
then 180-151=29
What is the average rate of change in the area as the radius changes from 2.5 to 5.5 feet?
The momentum of a variable is represented by the rate of change. The average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.
What is the rate of change?The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.
The area of the circle when the radius of the circle is 2.5 feet is,
Area of circle = π × (2.5 feet)²
= 19.635 ft²
The area of the circle when the radius of the circle is 5.5 feet is,
Area of circle = π × (5.5 feet)²
= 95.0332 ft²
Now, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is,
Average rate of change = (Change in the area)/(Change in radius)
= (95.0332 ft² - 19.635 ft²) / (5.5 ft - 2.5 ft)
= 25.1327ft² per ft
Hence, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.
Learn more about Rate of Change here:
https://brainly.com/question/12786410
#SPJ2
Which are vertical angles?
Answer:
The top answer is correct
Step-by-step explanation:
Vertical angles are formed when two lines meet each other at a point and they are always equal to each other. Their angles are also equal. In this problem number two has angles that do not match and number three also has different angles. Finally number four also has different angles and is not equal to each other. Leaving number one (the top answer) which looks to have the same angle, and is equal to each other.
Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet
tall, but its length is unknown.
Each section will be a different color, so they need to know the area of each
section.
10 ft
Total length unknown (x)
Letx represent the total length of the wall. What expression could Todd
and his friends use to find the area of each section?
Answer:
the expression for the total area of the wall is 10×x or simply 10x
to find the area of a section we need to take the total area of the wall and divide it by 5 (as there are 5 equal sections).
the expression for the area of each section is 2x
Step-by-step explanation:
remember, the area of a rectangle is length×width (or height).
so, the total wall can be seen as one big rectangle 10 ft high and x ft long. its area is therefore 10x (meaning 10×x).
since the wall is separated into 5 equal segments, the area of one such segment is simply 1/5 of the total area. so, we need to divide the total area by 5.
so, the expression for the area of each segment is
10x/5 = 2x
I need help again, as quickly as possible.
Answer:
[tex]{ \tt{ \frac{1}{x} + \frac{1}{3} < \frac{1}{5} }} \\ \\ { \tt{ \frac{1}{x} > - \frac{2}{15} }} \\ \\ { \tt{x > - \frac{15}{2} }} \\ \\ { \bf{ - \frac{15}{2} < x < 0 }}[/tex]
What is the slope of the line that contains the points in the table?
х
У
15
-2
9
ON
3
4
-3
O A. 3
O B. -6
O c. 2
O D. -3
Answer:
https://www.dasd.org › 4444PDF
Web results
Entering Algebra 2: Answer Key
look at the picture
Please help
Answer:
The probability that Aaron goes to the gym on exactly one of the two days is 0.74
Step-by-step explanation:
Let P(Aaron goes to the gym on exactly one of the two days) be the probability that Aaron goes to the gym on exactly one of the two days.
Then
P(Aaron goes to the gym on exactly one of the two days) =
P(Aaron goes to the gym on Saturday and doesn't go on Sunday) +
P(Aaron doesn't go to the gym on Saturday and goes on Sunday)
If Aaron goes to the gym on Saturday the probability that he goes on Sunday is 0.3. Then If Aaron goes to the gym on Saturday the probability that he does not go on Sunday is 1-0.3 =0.7 Since the probability that Aaron goes to the gym on Saturday is 0.8,
P(Aaron goes to the gym on Saturday and doesn't go on Sunday) =
P(the probability that Aaron goes to the gym on Saturday)×P(If Aaron goes to the gym on Saturday the probability that he does not go on Sunday)=
0.8×0.7=0.56
The probability that Aaron doesn't go to the gym on Saturday is 1-0.8=0.2 And if Aaron does not go to the gym on Saturday the probability he goes on Sunday is 0.9.
Thus, P(Aaron doesn't go to the gym on Saturday and goes on Sunday) = P(The probability that Aaron doesn't go to the gym on Saturday)×P(if Aaron does not go to the gym on Saturday the probability he goes on Sunday)
=0.2×0.9=0.18
Then
P(Aaron goes to the gym on exactly one of the two days) =0.56 + 0.18 =0.74
Help me fast ( prove it) class 8
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{cosA}{1-sinA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex]
= [tex]\frac{cosA(1+sinA)+cosA(1-sinA)}{(1-sinA)(1+sinA)}[/tex]
= [tex]\frac{cosA+cosAsinA+cosA-cosAsinA}{1-sin^2A}[/tex]
= [tex]\frac{2cosA}{cos^2A}[/tex] ← cancel cosA on numerator/ denominator
= 2 × [tex]\frac{1}{cosA}[/tex]
= 2secA
= right side, thus proven
What set of transformations are applied to parallelogram ABCD to create A’B’C’D’
classify the following as a chemical or physical: hydrogen gas is very explosive
Answer:
chemical
Step-by-step explanation:
Solve the equation sine Ф=0.6792 for 0°≤Ф≤360
Answer:
42.78⁹, 137.22⁹.
Step-by-step explanation:
sine Ф=0.6792
Angle Ф in the first quadrant = 42.78 degrees.
The sine is also positive in the second quadrant so the second solutio is
180 - 42.78
= 137.33 degres.
What is the solution to this equation?
log_8 16 + 2log_8x =2
The value of x for the given equation [tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2 will be 2 so option (B) must be correct.
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
Given the equation
[tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2
We know that,
xlogb = log[tex]b^{x}[/tex]
So,
2[tex]log_{8}[/tex](x) = logx²
For the same base
logA + logB = log(AB)
So,
[tex]log_{8}[/tex](16) + [tex]log_{8}[/tex](x)² = 2
[tex]log_{8}[/tex](16x²) = 2
We know that
[tex]log_{a}[/tex](b) = c ⇒ b = [tex]a^{c}[/tex]
so,
[tex]log_{8}[/tex](16x²) = 2 ⇒ 8² = 16x²
x = 2 hence x = 2 will be correct answer.
For more about logarithm
https://brainly.com/question/20785664
#SPJ2
Given a right triangle with an acute angle Θ , if sin Θ = cos Θ , describe what this triangle would look like.
For sinø = cosø, ø = 45°. Because it is right, it is also a right, isosceles triangle
4. The co-ordinates of the mid-point of the line joining the two given points (a, b) and ( - 7,-5) is ( 3/2,5).find(a, b).
Answer:
a = 10
b = 15
Hope this is correct!!
HEELLLPPPPPP what’s the answer????????????????????????? HEELLLLLLLPPPPPPPPPPPPPP
Answer:
(-2,-2)
Step-by-step explanation:
x^2 + y^2 = 9
A circle has an equation of the form
(x-h)^2 + (y-k)^2 = r^2
where the center is at ( h,k) and the radius is r
The circle is centered at (0,0) and has a radius 3
The only point entirely within the circle must have points less than 3
(-2,-2)
The sum of the two numbers is 16. One number is 4 less than 3 times the other. Find the numbers.
Answer:
5 and 11
Step-by-step explanation:
Make equations:
x+y = 16
3x-4 = y
Substitute 3x-4 as y in x+y = 16
You get x + 3x - 4 = 16
Simplify into 4x - 4 = 16
Add 4 on both sides
you get 4x = 20
Divide each side by 4,
You get x = 5. Plug 5 back into x+y = 16
Subtract 5 from both sides, and you get y = 11
Hi I need help with this question please!!! I don’t understand it :/
Answer:
- 22.5
Step-by-step explanation:
Substitute x = 3 into f(x) and x = 16 into h(x) , then
[tex]\frac{1}{2}[/tex] g(3) - h(16)
= [tex]\frac{1}{2}[/tex] × - 3(3)² - (2[tex]\sqrt{16}[/tex] + 1)
= [tex]\frac{1}{2}[/tex] × - 3(9) - (2(4) + 1)
= [tex]\frac{1}{2}[/tex] × - 27 - (8 + 1)
= - 13.5 - 9
= - 22.5
!PLEASE HELP!
In angle ABC, AB = 2 and AC = 11. Find m
A.38
B.10
C.22
Answer:
10 digress when converted to nearest digree
The following geometric sequences represent the populations of two
bacterial cultures at the 1-hour mark, the 2-hour mark, the 3-hour mark, and so
on. Culture A starts with more bacteria, but culture B has a ratio of increase
that is larger. Which culture will have the greater population at the 18-hour
mark?
Culture A: 400, 600, 900, 1350,...
Culture B: 5, 10, 20, 40,...
A. Culture A
B. Culture B
To solve 2x=8 you need to divide by what number?
PLEASEEEE HELP
Answer:
divide by 2
Step-by-step explanation:
to find x you must divide 8 by 2.
Answer:
you divide 8 by 2
Step-by-step explanation:
To isolate the variable, x you need to divide by 2 on both sides so it cancels out the 2 on 2x and will divide 8 by 2=4
The average net primary production in tropical rain forests each year is 8,900 kilocalories per square meter. If the total net primary production of a selected portion of a tropical rain forest in a given year is 1.8*10^ 8. kilocalories, what is the approximate total area, in square meters, of the selected portion?
A) 4.9 * 10 ^ 3
B) 1.6 * 10 ^ 4
C) 2.0 * 10 ^ 4
D) 1.6 * 10 ^ 12
Answer:
C: 2 × 10⁴
Step-by-step explanation:
We are told that the average net primary production in tropical rain forests each year is 8,900 kilocalories per square meter.
Thus;
P_net,average = 8900 Kcal/m²
We are also told that net primary production of a selected portion of a tropical rain forest in a given year is 1.8 × 10^(8) kilocalories.
Thus;
P_net = 1.8 × 10^(8) Kcal
To get the average, the formula is;
P_net,average = P_net/Area
Thus;
Area = P_net/P_net,average
Plugging in the relevant values;
Area = (1.8 × 10^(8))/8900
Area ≈ 2 × 10⁴ m²
Which is equivalent to 3√8 1/4x?
Answer:
[tex]{ \tt{ \sqrt[3]{8} {}^{ \frac{1}{4} x} }} \\ = { \tt{ {8}^{( \frac{1}{4}x) \frac{1}{3} } }} \\ = { \tt{ {8}^{ \frac{1}{12} x} }} \\ = { \tt{ \sqrt[12]{8} {}^{x} }}[/tex]
Answer:
[tex]\sqrt[12]{8^{x} }[/tex]
Step-by-step explanation:
[tex]\sqrt[12]{8^{x} }[/tex]
Can someone help please
Answer:
Option: DStep-by-step explanation:
Given,
7,625,750,263
When estimated,
8,000,000,000
= 8 × 1,000,000,000
[tex] = 8 \times {10}^{9} [/tex]
Bagels cost 35p each how much is 6?
Answer:
1 = 35p
6 = 35p×6
= 240p
Therefore, 6 bagels cost 240 p
30 POINTS!!! There is an average of 3.5×10^−2 kilograms of dissolved salt in each liter of seawater. The Pacific Ocean contains approximately 6.6×10^20 liters of seawater.
How many kilograms of dissolved salt are in the Pacific Ocean?
Answer:
2.31 * 10 ^ 19
Step-by-step explanation:
Take the number of kilograms per liter and multiply by the number of liters
3.5×10^−2 * 6.6×10^20
The coefficients get multiplied and the exponents add
3.5 * 6.6 * 10 ^ (-2+20)
23.1 * 10 ^ 18
This is not scientific notation since 23.1 is greater than or equal to 10 so we move the decimal 1 place to the left and add 1 to the exponent
2.31 * 10 ^ 19
Can u help sold this
Answer:
0
Step-by-step explanation:
To calculate the slope or gradient we use this formula:
Slope = y2-y1/x2-x1
(-3,2) = (x1, y1)
(4,2) = (x2, y2)
Slope = 2-2/4-(-3) = 0
Answer from Gauthmath
Answer:
[tex]we \: know \: that \: slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{2 - 2}{4 - - 3} \\ = \frac{0}{7} = 0 \\ slope \: = 0 \\ thank \: you[/tex]
4.Find the first five terms of the recursive sequence
Answer:
5, 12, 19, 26, 33
Step-by-step explanation:
Using the recursive rule and a₁ = 5 , then
a₂ = a₁ + 7 = 5 + 7 = 12
a₃ = a₂ + 7 = 12 + 7 = 19
a₄ = a₃ + 7 = 19 + 7 = 26
a₅ = a₄ + 7 = 26 + 7 = 33
The first 5 terms are 5, 12, 19, 26, 33
