In an arithmetic sequence, the 10th term is 37, and the 21st term is 4. Find the common difference and the first term
Answer:
Common difference is 3. And the first term is 64.
Step-by-step explanation:
The differnce between 21 and 10 is 11. So there are 11 unknown numbers in between. And the difference between 37 and 4 is 33. 33/11 is equal to 3. So the pattern is minus three. the first term is 9 terms before 37. 9 times 3 is 27. 37+27 is equal to 64. so the first term is 64
alright hear me out... why is the word dictionary in the dictionary? ಠ_ಠ
cause a dictionary contains all known words including dictionary..my turn!.look in the comments!
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval
Answer:
The answer is "It would decrease, but not necessarily by 8%".
Step-by-step explanation:
They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 8
Step-by-step explanation:
If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees
As we can see, we have two sets of similar right triangles
The value x faces the right angle and that makes it the hypotenuse
Also, the side measure 4 is the adjacent side to the angle 60
The trigonometric identity that relates the hypotenuse and the adjacent is the cosine
it is the ratio of the adjacent to the hypotenuse
Mathematically;
cos 60 = 4/x
x = 4/cos 60
x = 8
Express 6 : 12 in the form n : 1 . Give n as a decimal.
Answer:
6:1
Step-by-step explanation:
Distance = Speed & Time
If I increase speed, but hold time constant what happens to
distance? What is this relationship called?
Please help !!!!!!
Clare is deriving the quadratic formula by solving ax^2+bx+c=0 by completing the square.
She arrived at this equation:
(2ax+b)^2=b^2-4ac
Briefly describe what she needs to do to finish solving for I and then show the steps.
Answer:
Clare starts with:
a*x^2 + b*x + c = 0
And she gets to:
(2*a*x + b)^2 = b^2 - 4*a*c
Now we want to show the final steps to solve the equation (isolating x)
First, we apply the square root to both sides:
[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]
Because the square root has two solutions, (one negative and one positive), we will write:
[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]
Now we subtract b in both sides:
[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]
[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]
Now let's divide by 2*a in both sides:
[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]
Help me plssss I rlly need the answer to this
f(x)=∣x∣
g(x)=∣x−1∣+9
We can think of g as a translated (shifted) version of f
Complete the description of the transformation.
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
Comment: The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit larger than 4. g(5) = |5 - 1| = 4.
A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude of the balloon over time. Write a linear function in the form y = mx + b to represent the situation.
Answer:
y=90x+2,000
y=mx+b
Use the distributive property to write an equivalent expression.
10(2x + 8y - 6)
Answer:
20x +80y -60 hope this helped:)
Step-by-step explanation:
20 points pls answer
Simplify this expression using the distributive property.
2(2z+9)
Answer:
[tex]\bold{4z+18}[/tex]
Step-by-step explanation:
Hi there!
The Distributive Property states that
[tex]\bold{a(b+c)=ab+ac}[/tex]
Now, let's use this property to solve our problem:
[tex]\bold{2(2z+9)}[/tex]
[tex]\bold{4z+18}[/tex]
Hope it helps! Enjoy your day!
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
Hi, let me help you out!
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In order to simplify this, we're going to use a property that's called the Distributive Property:
[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]
Where a, b, and c can be variables, constants, or both (like 4c).
Now let's simplify our expression:
[tex]\longrightarrow\tt{2(2z+9)}[/tex]
Multiply 2 times 2z and 9:
[tex]\longrightarrow\tt{4z+18}[/tex]
Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].
I hope this helps you! Have an awesome day.
If you need any explanation or clarification, just let me know! :)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
HELP ME PLZ AN DTHANK YOU
Answer:
6(2 + 2/3x) = 12 + 4x
Step-by-step explanation:
...............
Answer:
6(2 + [tex]\frac{2}{3}[/tex] x ) = 12 + 4x
Step-by-step explanation:
Note that
6 × [tex]\frac{2}{3}[/tex] = 4
Then
6(2 + [tex]\frac{2}{3}[/tex] x ) ← is the required expression
What is the value of x?
Answer:
3
Step-by-step explanation:
Hola, ¿cómo está tu día?
Answer:
Muy bien, y usted?
Answer:
es una pregunta o necesitas eso traducido al inglés ¿?
30 in.
10 in.
10 in.
30 in
20 in
Find the area of the arrow above.
square inches
Answer:
1100 Inches Squared
Step-by-step explanation:
Let the triangle on the top right be - (i)
Let the triangle on the top left be - (ii)
Let the bottom rectangle be - (iii)
1) The base of the triangle (i) = 10 + (20/2) (It is the base of the rectangle halfed + the given amount of half base of the triangle)
=> 10 + 10
=> 20 in
Base = 20 in
Height = 30 in
Area = 1/2 * 20 * 30
=> 10 * 30
=> 300 in
Triangle (i) = (ii)
So, the area of triangle (ii)
=> 300 in
Area of rectangle,
Length * Breadth
=> 20 * 30
=> 500 in
Total arrow's area = 300 + 300 + 500 (i + ii + iii)
=> 1100
Therefore the total area of the shape = 1100 in squared.
Hope it helps :)
I need help with math
Answer:
Its the second one
Step-by-step explanation:
Need help finding the length of AC
Answer:
I would have to say that the length of AC is 22.5
plsss anybody help no links more files they are viruses
Answer:
1- B & C (Same answer and also I'm not that sure)
2- B: y = 8x (I'm sure of this ^^)
3- Option 3
4- 108 degrees
Answer:
1. C
2. B
3. Option 3
4. 108 degrees
Step-by-step explanation:
1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.
2. x is multiplied by 8 to create y, so the equation is y=8x
3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.
4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees
I want to d!e ahahahahahaha
Answer:
dont say that-
Step-by-step explanation:
Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?
Connect vertex B to the arc marking to complete the angle bisector
Find the angle bisectors for angles A and B
Connect three arc markings together to form the triangle
Use the incenter to determine the center to construct the circle
The construction is missing, so i have attached it.
Answer:
Use the incenter to determine the center to construct the circle.
Step-by-step explanation:
From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.
Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.
Daniel placed $2,500 in a one-year time deposit (CD) with a 2.7% annual interest rate. Approximately how much interest will Daniel earn at maturity?
PLSSS HELP MEEE I WILL GIVE BRAINLIEST
Answer: A
Step-by-step explanation:
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%
Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
ABC has vertices at A(3.2), B(1.4), and C(2.7).
What will be the new vertices after a 90° counter clockwise rotation about the origin?
Answer:
A = 1,4
B = 2,1
C = -4,-5
Step-by-step explanation:
The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5
Find the volume of a cylınder whose base is a circle with a diameter of 18 inches.
Answer:
257.48 inches
Step-by-step explanation:
pi * radius^2 * Hight
find radius by dividing the diameter in half
pi = 3.14
A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .
Answer:
[tex]A=256.67ft^2[/tex]
Step-by-step explanation:
From the question we are told that:
Fan oscillates [tex]\theta=250[/tex]
Distance [tex]d=>Raduis\ r=4 feet[/tex]
Since
[tex]250\textdegree =180\textdegree +70\textdegree[/tex]
Generally the equation for the area A is mathematically given by
[tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
Where
[tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]
[tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]
[tex]A_{sm}=25.12ft^2[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]
[tex]A_{70\textdegree}=1.55ft^2[/tex]
Therefore the area A is given as
[tex]A=A_{sm}+A_{70\textdegree}[/tex]
[tex]A=25.12ft^2+1.55ft^2[/tex]
[tex]A=256.67ft^2[/tex]
If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y
Find the missing side of the triangle.
PLEASE NO LINKS- I WILL REPORT YOU.
Need help-
Thank you!!!
Answer:
11.7 cm
Step-by-step explanation:
Pythagoream Theorem:
[tex] {11}^{2} + {4}^{2} = {x}^{2} \\ 121 + 16 = {x}^{2} \\ 137 = {x}^{2} \\ \sqrt{137} = x \\ 11.7 = x[/tex]
Hope this helps!!